Details

analyze372.0ms (2.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
0%	0%	99.8%	0.2%	0%	0%	0%	9
0%	0%	99.8%	0.2%	0%	0%	0%	10
0%	0%	99.8%	0.2%	0%	0%	0%	11
9.8%	9.7%	90.1%	0.2%	0%	0%	0%	12

Compiler

Compiled 20 to 12 computations (40% saved)

sample1.1s (7.3%)

Results

983.0ms	8256×	body	256	valid
57.0ms	483×	body	256	infinite

Bogosity

preprocess6.0ms (0%)

Algorithm

2×	egg-herbie

Rules

44×	`fma-def`
22×	`+-commutative`
12×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	245
1	69	245
2	79	245
0	4	4

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

Inputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (+.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (+.f64 (.f64 c a) (.f64 b d)) (+.f64 (.f64 a a) (.f64 d d)))
(/.f64 (+.f64 (.f64 d c) (.f64 b a)) (+.f64 (.f64 c c) (.f64 a a)))
(/.f64 (+.f64 (.f64 a b) (.f64 c d)) (+.f64 (.f64 b b) (.f64 d d)))
(/.f64 (+.f64 (.f64 a c) (.f64 d b)) (+.f64 (.f64 c c) (.f64 b b)))
(/.f64 (+.f64 (.f64 a d) (.f64 b c)) (+.f64 (.f64 d d) (.f64 c c)))

Outputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
(/.f64 (+.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (fma.f64 a d (.f64 c b)) (fma.f64 c c (.f64 d d)))
(/.f64 (+.f64 (.f64 c a) (.f64 b d)) (+.f64 (.f64 a a) (.f64 d d)))
(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 a a (.f64 d d)))
(/.f64 (+.f64 (.f64 d c) (.f64 b a)) (+.f64 (.f64 c c) (.f64 a a)))
(/.f64 (fma.f64 a b (.f64 c d)) (fma.f64 c c (.f64 a a)))
(/.f64 (fma.f64 a b (.f64 c d)) (fma.f64 a a (.f64 c c)))
(/.f64 (+.f64 (.f64 a b) (.f64 c d)) (+.f64 (.f64 b b) (.f64 d d)))
(/.f64 (fma.f64 a b (.f64 c d)) (fma.f64 b b (.f64 d d)))
(/.f64 (fma.f64 a b (.f64 c d)) (fma.f64 d d (.f64 b b)))
(/.f64 (+.f64 (.f64 a c) (.f64 d b)) (+.f64 (.f64 c c) (.f64 b b)))
(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 b b)))
(/.f64 (+.f64 (.f64 a d) (.f64 b c)) (+.f64 (.f64 d d) (.f64 c c)))
(/.f64 (fma.f64 a d (.f64 c b)) (fma.f64 c c (.f64 d d)))

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`fma-def`
4×	`*-commutative`
4×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	20	35
2	24	35

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Outputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))

eval1.0ms (0%)

Compiler: Compiled 32 to 14 computations (56.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

26.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.1b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(+.f64 (.f64 a c) (.f64 b d))
✓	25.6b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 49 to 11 computations (77.6% saved)

series8.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
1.0ms	b	@	inf	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
1.0ms	a	@	-inf	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
1.0ms	b	@	0	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
1.0ms	a	@	inf	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1720×	`associate-*r/`
1458×	`associate-*l/`
976×	`associate-/r*`
316×	`associate-+l+`
304×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	285	48
2	4080	48

Stop Event

1×	node limit

Counts

2 → 103

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(+.f64 (.f64 a c) (.f64 b d))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 1 (+.f64 (.f64 c c) (.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (.f64 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (hypot.f64 c d)) (/.f64 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2) (.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))) 2) (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (.f64 a c) (.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 (.f64 a c) (.f64 b d))) (/.f64 -1 (+.f64 (.f64 c c) (.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (.f64 c c) (.f64 d d))) 2)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (-.f64 (.f64 c c) (.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (pow.f64 c 6) (pow.f64 d 6))) (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 1) (/.f64 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (+.f64 (.f64 c c) (.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (pow.f64 (cbrt.f64 (+.f64 (.f64 c c) (.f64 d d))) 2)) (/.f64 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (+.f64 (.f64 c c) (.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2) (hypot.f64 c d)) (/.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2) (pow.f64 (cbrt.f64 (+.f64 (.f64 c c) (.f64 d d))) 2)) (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (hypot.f64 c d)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (neg.f64 (+.f64 (.f64 c c) (.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (*.f64 d d)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a c))) (-.f64 1 (.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 a c) (.f64 b d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 b d))) (-.f64 1 (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 a c) 2) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (pow.f64 (.f64 b d) 2) (-.f64 (.f64 a c) (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 a c) (exp.f64 (log1p.f64 (.f64 b d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 b d) (exp.f64 (log1p.f64 (.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 a c) (.f64 b d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 a c) (.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2) (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (/.f64 1 (-.f64 (.f64 a c) (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (.f64 a c) (.f64 b d)) (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)))) (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (-.f64 (.f64 a c) (.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2))) (neg.f64 (-.f64 (.f64 a c) (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 b d) (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) 1) (-.f64 (.f64 a c) (.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (.f64 a c) 3) 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Outputs

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(*.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 a c) (*.f64 b d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 a c) (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 a c) (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 a c) (*.f64 b d))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 a c) (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a c (*.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c a (*.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b d (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d b (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a c) (*.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 b d) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 b d)) (sqrt.f64 (*.f64 b d)) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a c)) (*.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 b d)) 2) (cbrt.f64 (*.f64 b d)) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (cbrt.f64 (*.f64 a c)) (*.f64 b d))))))

simplify102.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1892×	`distribute-lft-in`
1836×	`associate-/r*`
774×	`associate-/l/`
766×	`associate-/r/`
490×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	317	8687
1	853	7463
2	4114	7463

Stop Event

1×	node limit

Counts

199 → 189

Calls

Call 1

Inputs
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 a c)
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(*.f64 d b)
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(*.f64 c a)
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(*.f64 c a)
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(*.f64 d b)
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(*.f64 c a)
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(+.f64 (.f64 d b) (.f64 c a))
(*.f64 c a)
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(*.f64 c a)
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(*.f64 d b)
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(*.f64 d b)
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(*.f64 d b)
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(+.f64 (.f64 d b) (.f64 c a))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))))) 1)
(.f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 1 (+.f64 (.f64 c c) (*.f64 d d))))
(.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (*.f64 d d))) 1)
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(.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (*.f64 d d)))) 2))
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(.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (.f64 a c) (*.f64 b d)))
(.f64 (neg.f64 (+.f64 (.f64 a c) (.f64 b d))) (/.f64 -1 (+.f64 (.f64 c c) (*.f64 d d))))
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(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (.f64 c c) (.f64 d d))) 2)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (cbrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (+.f64 (.f64 c c) (*.f64 d d))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2) (hypot.f64 c d)) (/.f64 (cbrt.f64 (+.f64 (.f64 a c) (*.f64 b d))) (hypot.f64 c d)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2) (pow.f64 (cbrt.f64 (+.f64 (.f64 c c) (.f64 d d))) 2)) (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (*.f64 d d)))))
(pow.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) 1)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (hypot.f64 c d)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d))) -1)
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(log.f64 (exp.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))))
(exp.f64 (log.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (*.f64 d d)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 a c))) (-.f64 1 (.f64 b d)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 a c) (.f64 b d)))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 b d))) (-.f64 1 (.f64 a c)))
(-.f64 (/.f64 (pow.f64 (.f64 a c) 2) (-.f64 (.f64 a c) (.f64 b d))) (/.f64 (pow.f64 (.f64 b d) 2) (-.f64 (.f64 a c) (.f64 b d))))
(-.f64 (+.f64 (.f64 a c) (exp.f64 (log1p.f64 (.f64 b d)))) 1)
(-.f64 (+.f64 (.f64 b d) (exp.f64 (log1p.f64 (.f64 a c)))) 1)
(.f64 (+.f64 (.f64 a c) (*.f64 b d)) 1)
(.f64 1 (+.f64 (.f64 a c) (*.f64 b d)))
(.f64 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (sqrt.f64 (+.f64 (.f64 a c) (*.f64 b d))))
(.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (*.f64 b d))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2) (cbrt.f64 (+.f64 (.f64 a c) (*.f64 b d))))
(.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (/.f64 1 (-.f64 (.f64 a c) (*.f64 b d))))
(.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))
(/.f64 1 (/.f64 (-.f64 (.f64 a c) (.f64 b d)) (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)))) (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (*.f64 b d) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (-.f64 (.f64 a c) (.f64 b d)))
(/.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (*.f64 a c)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2))) (neg.f64 (-.f64 (.f64 a c) (.f64 b d))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (*.f64 a c))))))
(/.f64 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 b d) (.f64 a c)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) 1) (-.f64 (.f64 a c) (*.f64 b d)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) 1) (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)))) (neg.f64 (-.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)))) (neg.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2))) (-.f64 (.f64 b d) (*.f64 a c)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (sqrt.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)))) (sqrt.f64 (-.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (sqrt.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2) (cbrt.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)))) (cbrt.f64 (-.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2) (cbrt.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2))) 1) (neg.f64 (-.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3))) 1) (neg.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2)) 1) (-.f64 (.f64 b d) (*.f64 a c)))
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(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3))) (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2))) (pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2)) (cbrt.f64 (-.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3))) (pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 a c) 2)) (.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 b d) 2))) (/.f64 1 (-.f64 (.f64 a c) (.f64 b d)))) (+.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (*.f64 a c) 2)))
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(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 a c) 3)) (.f64 (pow.f64 (.f64 b d) 3) (pow.f64 (.f64 b d) 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)))))) (-.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 a c) 3) 3) (pow.f64 (pow.f64 (.f64 b d) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)))))) (+.f64 (.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 a c) 3)) (-.f64 (.f64 (pow.f64 (.f64 b d) 3) (pow.f64 (.f64 b d) 3)) (.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (*.f64 b d) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) 1) (-.f64 (.f64 a c) (.f64 b d)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (sqrt.f64 (-.f64 (.f64 a c) (.f64 b d)))) (sqrt.f64 (-.f64 (.f64 a c) (.f64 b d))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 a c) (.f64 b d))) (cbrt.f64 (-.f64 (.f64 a c) (.f64 b d))))) (cbrt.f64 (-.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (+.f64 (sqrt.f64 (.f64 b d)) (sqrt.f64 (.f64 a c)))) (-.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 (.f64 b d))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) 1) (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (*.f64 a c)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))
(pow.f64 (+.f64 (.f64 a c) (.f64 b d)) 1)
(pow.f64 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2)
(pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 3)
(pow.f64 (pow.f64 (+.f64 (.f64 a c) (.f64 b d)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (.f64 a c) (.f64 b d)) 2))
(log.f64 (exp.f64 (+.f64 (.f64 a c) (.f64 b d))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 a c) (.f64 b d)))))
(cbrt.f64 (pow.f64 (+.f64 (.f64 a c) (.f64 b d)) 3))
(expm1.f64 (log1p.f64 (+.f64 (.f64 a c) (.f64 b d))))
(exp.f64 (log.f64 (+.f64 (.f64 a c) (.f64 b d))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 a c) (*.f64 b d))) 1))
(log1p.f64 (expm1.f64 (+.f64 (.f64 a c) (.f64 b d))))
(fma.f64 a c (*.f64 b d))
(fma.f64 c a (*.f64 b d))
(fma.f64 b d (*.f64 a c))
(fma.f64 d b (*.f64 a c))
(fma.f64 1 (.f64 a c) (.f64 b d))
(fma.f64 1 (.f64 b d) (.f64 a c))
(fma.f64 (sqrt.f64 (.f64 b d)) (sqrt.f64 (.f64 b d)) (*.f64 a c))
(fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 (.f64 a c)) (*.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 b d)) 2) (cbrt.f64 (.f64 b d)) (*.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 a c)) 2) (cbrt.f64 (.f64 a c)) (*.f64 b d))

Outputs
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (fma.f64 c c (*.f64 d d)) b))
(/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (fma.f64 c c (.f64 d d)) b)) (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)))
(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (fma.f64 c c (.f64 d d)) b)) (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)))
(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (fma.f64 c c (.f64 d d)) b)) (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)))
(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 c (/.f64 (fma.f64 c c (*.f64 d d)) a))
(.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a)
(/.f64 (.f64 c a) (fma.f64 d d (.f64 c c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (fma.f64 c c (.f64 d d)) b)) (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)))
(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (fma.f64 c c (.f64 d d)) b)) (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)))
(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (fma.f64 c c (.f64 d d)) b)) (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)))
(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 c (/.f64 (fma.f64 c c (*.f64 d d)) a))
(.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a)
(/.f64 (.f64 c a) (fma.f64 d d (.f64 c c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (fma.f64 c c (.f64 d d)) b)) (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)))
(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (fma.f64 c c (.f64 d d)) b)) (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)))
(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (fma.f64 c c (.f64 d d)) b)) (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)))
(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(+.f64 (/.f64 b d) (.f64 (/.f64 a (.f64 d d)) c))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a))))
(-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) b))
(+.f64 (/.f64 b d) (-.f64 (.f64 (/.f64 a (.f64 d d)) c) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b))
(-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 a (.f64 d d)) c)) (+.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b) (*.f64 (/.f64 a (pow.f64 d 4)) (pow.f64 c 3))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 d c) c) b))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (/.f64 (.f64 d b) (*.f64 c c))))
(+.f64 (/.f64 a c) (-.f64 (/.f64 b (/.f64 (.f64 c c) d)) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 (/.f64 d c) c) b) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 (.f64 d b) (*.f64 c c)))))
(+.f64 (/.f64 a c) (-.f64 (-.f64 (/.f64 b (/.f64 (.f64 c c) d)) (/.f64 (.f64 b (pow.f64 d 3)) (pow.f64 c 4))) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))))
(-.f64 (-.f64 (.f64 (/.f64 (/.f64 d c) c) b) (/.f64 (.f64 b (pow.f64 d 3)) (pow.f64 c 4))) (-.f64 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (/.f64 a c)))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 d c) c) b))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (/.f64 (.f64 d b) (*.f64 c c))))
(+.f64 (/.f64 a c) (-.f64 (/.f64 b (/.f64 (.f64 c c) d)) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 (/.f64 d c) c) b) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 (.f64 d b) (*.f64 c c)))))
(+.f64 (/.f64 a c) (-.f64 (-.f64 (/.f64 b (/.f64 (.f64 c c) d)) (/.f64 (.f64 b (pow.f64 d 3)) (pow.f64 c 4))) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))))
(-.f64 (-.f64 (.f64 (/.f64 (/.f64 d c) c) b) (/.f64 (.f64 b (pow.f64 d 3)) (pow.f64 c 4))) (-.f64 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (/.f64 a c)))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 c (/.f64 (fma.f64 c c (*.f64 d d)) a))
(.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a)
(/.f64 (.f64 c a) (fma.f64 d d (.f64 c c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (fma.f64 c c (.f64 d d)) b)) (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)))
(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (fma.f64 c c (.f64 d d)) b)) (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)))
(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (fma.f64 c c (.f64 d d)) b)) (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)))
(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (fma.f64 c c (*.f64 d d)) b))
(/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (fma.f64 c c (.f64 d d)) b)) (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)))
(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (fma.f64 c c (.f64 d d)) b)) (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)))
(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (fma.f64 c c (.f64 d d)) b)) (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)))
(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (fma.f64 c c (*.f64 d d)) b))
(/.f64 b (/.f64 (fma.f64 d d (*.f64 c c)) d))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (fma.f64 c c (.f64 d d)) b)) (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)))
(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (fma.f64 c c (.f64 d d)) b)) (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)))
(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (fma.f64 c c (.f64 d d)) b)) (/.f64 c (/.f64 (fma.f64 c c (.f64 d d)) a)))
(/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (.f64 c c)))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 d c) c) b))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (/.f64 (.f64 d b) (*.f64 c c))))
(+.f64 (/.f64 a c) (-.f64 (/.f64 b (/.f64 (.f64 c c) d)) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 (/.f64 d c) c) b) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 (.f64 d b) (*.f64 c c)))))
(+.f64 (/.f64 a c) (-.f64 (-.f64 (/.f64 b (/.f64 (.f64 c c) d)) (/.f64 (.f64 b (pow.f64 d 3)) (pow.f64 c 4))) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))))
(-.f64 (-.f64 (.f64 (/.f64 (/.f64 d c) c) b) (/.f64 (.f64 b (pow.f64 d 3)) (pow.f64 c 4))) (-.f64 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (/.f64 a c)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(+.f64 (/.f64 b d) (.f64 (/.f64 a (.f64 d d)) c))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a))))
(-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) b))
(+.f64 (/.f64 b d) (-.f64 (.f64 (/.f64 a (.f64 d d)) c) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b))
(-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 a (.f64 d d)) c)) (+.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b) (*.f64 (/.f64 a (pow.f64 d 4)) (pow.f64 c 3))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(+.f64 (/.f64 b d) (.f64 (/.f64 a (.f64 d d)) c))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a))))
(-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) b))
(+.f64 (/.f64 b d) (-.f64 (.f64 (/.f64 a (.f64 d d)) c) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b))
(-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 a (.f64 d d)) c)) (+.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b) (*.f64 (/.f64 a (pow.f64 d 4)) (pow.f64 c 3))))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
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(/.f64 (-.f64 (pow.f64 (.f64 c a) 6) (pow.f64 (.f64 d b) 6)) (.f64 (-.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 d b) 3)) (fma.f64 b (.f64 d (fma.f64 d b (.f64 c (neg.f64 a)))) (pow.f64 (.f64 c a) 2))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 a c) 3) 3) (pow.f64 (pow.f64 (.f64 b d) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)))))) (+.f64 (.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 a c) 3)) (-.f64 (.f64 (pow.f64 (.f64 b d) 3) (pow.f64 (.f64 b d) 3)) (.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (*.f64 b d) 3)))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 c a) 3) 3) (pow.f64 (pow.f64 (.f64 d b) 3) 3)) 1) (+.f64 (pow.f64 (.f64 c a) 2) (.f64 b (.f64 d (-.f64 (.f64 d b) (.f64 c a)))))) (-.f64 (+.f64 (pow.f64 (.f64 c a) 6) (pow.f64 (.f64 d b) 6)) (.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (*.f64 d b) 3))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 c a) 3) 3) (pow.f64 (pow.f64 (.f64 d b) 3) 3)) (fma.f64 b (.f64 d (-.f64 (.f64 d b) (.f64 c a))) (pow.f64 (.f64 c a) 2))) (fma.f64 (pow.f64 (.f64 d b) 3) (-.f64 (pow.f64 (.f64 d b) 3) (pow.f64 (.f64 c a) 3)) (pow.f64 (.f64 c a) 6)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 c a) 3) 3) (pow.f64 (pow.f64 (.f64 d b) 3) 3)) (.f64 (fma.f64 (pow.f64 (.f64 d b) 3) (-.f64 (pow.f64 (.f64 d b) 3) (pow.f64 (.f64 c a) 3)) (pow.f64 (.f64 c a) 6)) (fma.f64 b (.f64 d (fma.f64 d b (.f64 c (neg.f64 a)))) (pow.f64 (.f64 c a) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) 1) (-.f64 (.f64 a c) (.f64 b d)))
(/.f64 (-.f64 (pow.f64 (.f64 c a) 2) (pow.f64 (.f64 d b) 2)) (-.f64 (.f64 c a) (.f64 d b)))
(/.f64 (-.f64 (pow.f64 (.f64 d b) 2) (pow.f64 (.f64 c a) 2)) (-.f64 (.f64 d b) (.f64 c a)))
(/.f64 (-.f64 (pow.f64 (.f64 d b) 2) (pow.f64 (.f64 c a) 2)) (fma.f64 d b (*.f64 c (neg.f64 a))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (sqrt.f64 (-.f64 (.f64 a c) (.f64 b d)))) (sqrt.f64 (-.f64 (.f64 a c) (.f64 b d))))
(/.f64 (-.f64 (pow.f64 (.f64 c a) 2) (pow.f64 (.f64 d b) 2)) (-.f64 (.f64 c a) (.f64 d b)))
(/.f64 (-.f64 (pow.f64 (.f64 d b) 2) (pow.f64 (.f64 c a) 2)) (-.f64 (.f64 d b) (.f64 c a)))
(/.f64 (-.f64 (pow.f64 (.f64 d b) 2) (pow.f64 (.f64 c a) 2)) (fma.f64 d b (*.f64 c (neg.f64 a))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 a c) (.f64 b d))) (cbrt.f64 (-.f64 (.f64 a c) (.f64 b d))))) (cbrt.f64 (-.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (-.f64 (pow.f64 (.f64 c a) 2) (pow.f64 (.f64 d b) 2)) (-.f64 (.f64 c a) (.f64 d b)))
(/.f64 (-.f64 (pow.f64 (.f64 d b) 2) (pow.f64 (.f64 c a) 2)) (-.f64 (.f64 d b) (.f64 c a)))
(/.f64 (-.f64 (pow.f64 (.f64 d b) 2) (pow.f64 (.f64 c a) 2)) (fma.f64 d b (*.f64 c (neg.f64 a))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (+.f64 (sqrt.f64 (.f64 b d)) (sqrt.f64 (.f64 a c)))) (-.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 (.f64 b d))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 c a) 2) (pow.f64 (.f64 d b) 2)) (+.f64 (sqrt.f64 (.f64 d b)) (sqrt.f64 (.f64 c a)))) (-.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 (.f64 d b))))
(/.f64 (-.f64 (pow.f64 (.f64 c a) 2) (pow.f64 (.f64 d b) 2)) (.f64 (+.f64 (sqrt.f64 (.f64 d b)) (sqrt.f64 (.f64 c a))) (-.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 (*.f64 d b)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) 1) (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (*.f64 a c)))))
(/.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 d b) 3)) (+.f64 (pow.f64 (.f64 c a) 2) (.f64 b (.f64 d (-.f64 (.f64 d b) (*.f64 c a))))))
(/.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 d b) 3)) (fma.f64 b (.f64 d (-.f64 (.f64 d b) (.f64 c a))) (pow.f64 (.f64 c a) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 d b) 3)) (fma.f64 b (.f64 d (fma.f64 d b (.f64 c (neg.f64 a)))) (pow.f64 (*.f64 c a) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))
(/.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 d b) 3)) (+.f64 (pow.f64 (.f64 c a) 2) (.f64 b (.f64 d (-.f64 (.f64 d b) (*.f64 c a))))))
(/.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 d b) 3)) (fma.f64 b (.f64 d (-.f64 (.f64 d b) (.f64 c a))) (pow.f64 (.f64 c a) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 d b) 3)) (fma.f64 b (.f64 d (fma.f64 d b (.f64 c (neg.f64 a)))) (pow.f64 (*.f64 c a) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c))))))
(/.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 d b) 3)) (+.f64 (pow.f64 (.f64 c a) 2) (.f64 b (.f64 d (-.f64 (.f64 d b) (*.f64 c a))))))
(/.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 d b) 3)) (fma.f64 b (.f64 d (-.f64 (.f64 d b) (.f64 c a))) (pow.f64 (.f64 c a) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 d b) 3)) (fma.f64 b (.f64 d (fma.f64 d b (.f64 c (neg.f64 a)))) (pow.f64 (*.f64 c a) 2)))
(pow.f64 (+.f64 (.f64 a c) (.f64 b d)) 1)
(fma.f64 d b (*.f64 c a))
(pow.f64 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2)
(fma.f64 d b (*.f64 c a))
(pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 3)
(fma.f64 d b (*.f64 c a))
(pow.f64 (pow.f64 (+.f64 (.f64 a c) (.f64 b d)) 3) 1/3)
(fma.f64 d b (*.f64 c a))
(sqrt.f64 (pow.f64 (+.f64 (.f64 a c) (.f64 b d)) 2))
(sqrt.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) 2))
(fabs.f64 (fma.f64 d b (*.f64 c a)))
(log.f64 (exp.f64 (+.f64 (.f64 a c) (.f64 b d))))
(fma.f64 d b (*.f64 c a))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 a c) (.f64 b d)))))
(fma.f64 d b (*.f64 c a))
(cbrt.f64 (pow.f64 (+.f64 (.f64 a c) (.f64 b d)) 3))
(fma.f64 d b (*.f64 c a))
(expm1.f64 (log1p.f64 (+.f64 (.f64 a c) (.f64 b d))))
(fma.f64 d b (*.f64 c a))
(exp.f64 (log.f64 (+.f64 (.f64 a c) (.f64 b d))))
(fma.f64 d b (*.f64 c a))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 a c) (*.f64 b d))) 1))
(fma.f64 d b (*.f64 c a))
(log1p.f64 (expm1.f64 (+.f64 (.f64 a c) (.f64 b d))))
(fma.f64 d b (*.f64 c a))
(fma.f64 a c (*.f64 b d))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 b d))
(fma.f64 d b (*.f64 c a))
(fma.f64 b d (*.f64 a c))
(fma.f64 d b (*.f64 c a))
(fma.f64 d b (*.f64 a c))
(fma.f64 d b (*.f64 c a))
(fma.f64 1 (.f64 a c) (.f64 b d))
(fma.f64 d b (*.f64 c a))
(fma.f64 1 (.f64 b d) (.f64 a c))
(fma.f64 d b (*.f64 c a))
(fma.f64 (sqrt.f64 (.f64 b d)) (sqrt.f64 (.f64 b d)) (*.f64 a c))
(fma.f64 d b (*.f64 c a))
(fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 (.f64 a c)) (*.f64 b d))
(fma.f64 d b (*.f64 c a))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 b d)) 2) (cbrt.f64 (.f64 b d)) (*.f64 a c))
(fma.f64 d b (*.f64 c a))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 a c)) 2) (cbrt.f64 (.f64 a c)) (*.f64 b d))
(fma.f64 d b (*.f64 c a))

eval47.0ms (0.3%)

Compiler: Compiled 5205 to 1502 computations (71.1% saved)

prune38.0ms (0.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	176	13	189
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	176	14	190

Error

0.3b

Counts

190 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.1b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	37.6b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	38.7b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	37.5b	(/.f64 b d)
▶	35.7b	(/.f64 a c)
	34.6b	(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
▶	34.1b	(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
	34.0b	(+.f64 (/.f64 b d) (.f64 (/.f64 a (.f64 d d)) c))
	32.4b	(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
▶	33.5b	(+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))
	32.0b	(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 d c) c) b))
	17.2b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2) (hypot.f64 c d)) (/.f64 (cbrt.f64 (+.f64 (.f64 a c) (*.f64 b d))) (hypot.f64 c d)))
▶	16.7b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)))
▶	26.1b	(.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (.f64 a c) (*.f64 b d)))

Compiler

Compiled 433 to 255 computations (41.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (hypot.f64 c d))
	0.3b	(+.f64 (.f64 a c) (.f64 b d))
✓	0.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)))
✓	15.6b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 58 to 15 computations (74.1% saved)

series12.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	c	@	inf	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))
1.0ms	a	@	0	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))
1.0ms	b	@	0	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))
1.0ms	a	@	0	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)))
1.0ms	c	@	inf	(/.f64 1 (hypot.f64 c d))

rewrite124.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1584×	`associate-/r*`
1468×	`associate-/l*`
710×	`associate-/l/`
544×	`associate-/r/`
304×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	79
1	297	73
2	4008	73

Stop Event

1×	node limit

Counts

3 → 322

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)))
(/.f64 1 (hypot.f64 c d))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (.f64 a c)) (.f64 (/.f64 1 (hypot.f64 c d)) (.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (.f64 b d)) (.f64 (/.f64 1 (hypot.f64 c d)) (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a c) (/.f64 1 (hypot.f64 c d))) (.f64 (.f64 b d) (/.f64 1 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b d) (/.f64 1 (hypot.f64 c d))) (.f64 (.f64 a c) (/.f64 1 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 1 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (.f64 a c) (.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (hypot.f64 c d)) (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) (sqrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (.f64 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (/.f64 1 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 c d) -1/2) (.f64 (pow.f64 (hypot.f64 c d) -1/2) (+.f64 (.f64 a c) (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 c d) -1/2) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (hypot.f64 c d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 c d) -1/2) (pow.f64 (hypot.f64 c d) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)) (/.f64 1 (cbrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 1 (cbrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (hypot.f64 c d)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) -1) (pow.f64 (sqrt.f64 (hypot.f64 c d)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) -1) (pow.f64 (cbrt.f64 (hypot.f64 c d)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 c d) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (hypot.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 c d) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 c d) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 c d) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (hypot.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 c d)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 c d))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (hypot.f64 c d))))))))

simplify183.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1526×	`associate-r`
1306×	`associate-l`
1000×	`associate-/l/`
968×	`*-commutative`
790×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	948	26372
1	2778	26022

Stop Event

1×	node limit

Counts

442 → 609

Calls

Call 1

Inputs
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
b
(+.f64 b (/.f64 (*.f64 c a) d))
(+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2))))))
a
(+.f64 a (/.f64 (*.f64 d b) c))
(+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))))
(*.f64 -1 a)
(+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (*.f64 -1 a))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (*.f64 -1 a)))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (*.f64 -1 a))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
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a
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b
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(/.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 1 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))))) (/.f64 (hypot.f64 c d) (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d)))))
(/.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2))) (/.f64 (hypot.f64 c d) (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))))
(/.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (sqrt.f64 (hypot.f64 c d)) (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))))) (/.f64 (sqrt.f64 (hypot.f64 c d)) (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d)))))
(/.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (sqrt.f64 (hypot.f64 c d)) (pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2))) (/.f64 (sqrt.f64 (hypot.f64 c d)) (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))))
(/.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))))) (/.f64 (cbrt.f64 (hypot.f64 c d)) (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d)))))
(/.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2))) (/.f64 (cbrt.f64 (hypot.f64 c d)) (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)) (pow.f64 (hypot.f64 c d) 2)) (-.f64 (.f64 a c) (.f64 b d)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (pow.f64 (hypot.f64 c d) 2)) (+.f64 (pow.f64 (.f64 a c) 2) (.f64 (.f64 b d) (-.f64 (.f64 b d) (*.f64 a c)))))
(/.f64 (/.f64 -1 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d)))) (neg.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (neg.f64 (+.f64 (.f64 a c) (.f64 b d))) (hypot.f64 c d)) (neg.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)) -1) 1) (neg.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)) -1) (sqrt.f64 (hypot.f64 c d))) (neg.f64 (sqrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)) -1) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (neg.f64 (cbrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)) -1) -1) (hypot.f64 c d))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)) -1) (sqrt.f64 (neg.f64 (hypot.f64 c d)))) (sqrt.f64 (neg.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) -1) (.f64 (cbrt.f64 (neg.f64 (hypot.f64 c d))) (cbrt.f64 (neg.f64 (hypot.f64 c d))))) (cbrt.f64 (neg.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)) -1) (neg.f64 (sqrt.f64 (hypot.f64 c d)))) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)) -1) (neg.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (+.f64 (.f64 a c) (*.f64 b d)))) 1) (neg.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (+.f64 (.f64 a c) (*.f64 b d)))) (sqrt.f64 (hypot.f64 c d))) (neg.f64 (sqrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (+.f64 (.f64 a c) (*.f64 b d)))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (neg.f64 (cbrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (+.f64 (.f64 a c) (*.f64 b d)))) -1) (hypot.f64 c d))
(/.f64 (/.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (+.f64 (.f64 a c) (*.f64 b d)))) (sqrt.f64 (neg.f64 (hypot.f64 c d)))) (sqrt.f64 (neg.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (+.f64 (.f64 a c) (.f64 b d)))) (.f64 (cbrt.f64 (neg.f64 (hypot.f64 c d))) (cbrt.f64 (neg.f64 (hypot.f64 c d))))) (cbrt.f64 (neg.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (+.f64 (.f64 a c) (*.f64 b d)))) (neg.f64 (sqrt.f64 (hypot.f64 c d)))) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (+.f64 (.f64 a c) (*.f64 b d)))) (neg.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 a c) (*.f64 b d)) -1) (hypot.f64 c d)) (neg.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (.f64 (neg.f64 (+.f64 (.f64 a c) (*.f64 b d))) (/.f64 1 (hypot.f64 c d))) 1) (neg.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (.f64 (neg.f64 (+.f64 (.f64 a c) (*.f64 b d))) (/.f64 1 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d))) (neg.f64 (sqrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (.f64 (neg.f64 (+.f64 (.f64 a c) (*.f64 b d))) (/.f64 1 (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (neg.f64 (cbrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (.f64 (neg.f64 (+.f64 (.f64 a c) (*.f64 b d))) (/.f64 1 (hypot.f64 c d))) -1) (hypot.f64 c d))
(/.f64 (/.f64 (.f64 (neg.f64 (+.f64 (.f64 a c) (*.f64 b d))) (/.f64 1 (hypot.f64 c d))) (sqrt.f64 (neg.f64 (hypot.f64 c d)))) (sqrt.f64 (neg.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (.f64 (neg.f64 (+.f64 (.f64 a c) (.f64 b d))) (/.f64 1 (hypot.f64 c d))) (.f64 (cbrt.f64 (neg.f64 (hypot.f64 c d))) (cbrt.f64 (neg.f64 (hypot.f64 c d))))) (cbrt.f64 (neg.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (.f64 (neg.f64 (+.f64 (.f64 a c) (*.f64 b d))) (/.f64 1 (hypot.f64 c d))) (neg.f64 (sqrt.f64 (hypot.f64 c d)))) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (.f64 (neg.f64 (+.f64 (.f64 a c) (*.f64 b d))) (/.f64 1 (hypot.f64 c d))) (neg.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (.f64 -1 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))) 1) (neg.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (.f64 -1 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d))) (neg.f64 (sqrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (.f64 -1 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (neg.f64 (cbrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (.f64 -1 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))) -1) (hypot.f64 c d))
(/.f64 (/.f64 (.f64 -1 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))) (sqrt.f64 (neg.f64 (hypot.f64 c d)))) (sqrt.f64 (neg.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (.f64 -1 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) (.f64 (cbrt.f64 (neg.f64 (hypot.f64 c d))) (cbrt.f64 (neg.f64 (hypot.f64 c d))))) (cbrt.f64 (neg.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (.f64 -1 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))) (neg.f64 (sqrt.f64 (hypot.f64 c d)))) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (.f64 -1 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))) (neg.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) 1) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (cbrt.f64 (hypot.f64 c d))) (cbrt.f64 (sqrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (sqrt.f64 (hypot.f64 c d)))) (sqrt.f64 (sqrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))) (sqrt.f64 (cbrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (hypot.f64 c d))) 1) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (hypot.f64 c d))) (sqrt.f64 (cbrt.f64 (hypot.f64 c d)))) (sqrt.f64 (cbrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (hypot.f64 c d))) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) (cbrt.f64 (cbrt.f64 (hypot.f64 c d))))) (cbrt.f64 (cbrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (hypot.f64 c d))) (cbrt.f64 (sqrt.f64 (hypot.f64 c d)))) (cbrt.f64 (sqrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (hypot.f64 c d))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))) (cbrt.f64 (cbrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (.f64 (neg.f64 (+.f64 (.f64 a c) (*.f64 b d))) 1) (neg.f64 (hypot.f64 c d))) (hypot.f64 c d))
(/.f64 (/.f64 (.f64 (neg.f64 (+.f64 (.f64 a c) (*.f64 b d))) -1) (neg.f64 (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (.f64 -1 (neg.f64 (+.f64 (.f64 a c) (*.f64 b d)))) (neg.f64 (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) 1) (neg.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d))) (neg.f64 (sqrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (neg.f64 (cbrt.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) -1) (hypot.f64 c d))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) (sqrt.f64 (neg.f64 (hypot.f64 c d)))) (sqrt.f64 (neg.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) (*.f64 (cbrt.f64 (neg.f64 (hypot.f64 c d))) (cbrt.f64 (neg.f64 (hypot.f64 c d))))) (cbrt.f64 (neg.f64 (hypot.f64 c d))))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) (neg.f64 (sqrt.f64 (hypot.f64 c d)))) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) (neg.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))) (cbrt.f64 (hypot.f64 c d)))
(pow.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))) 1)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (hypot.f64 c d)) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))) 2))
(log.f64 (exp.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)) 3) (/.f64 1 (pow.f64 (hypot.f64 c d) 3))))
(cbrt.f64 (.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 3)) (pow.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)))))
(exp.f64 (log.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (hypot.f64 c d)))) 1)
(*.f64 1 (/.f64 1 (hypot.f64 c d)))
(*.f64 (/.f64 1 (hypot.f64 c d)) 1)
(*.f64 (pow.f64 (hypot.f64 c d) -1/2) (pow.f64 (hypot.f64 c d) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)) (/.f64 1 (cbrt.f64 (hypot.f64 c d))))
(*.f64 -1 (/.f64 -1 (hypot.f64 c d)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 1 (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 -1 (hypot.f64 c d)) -1)
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) -1) (pow.f64 (sqrt.f64 (hypot.f64 c d)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) -1) (pow.f64 (cbrt.f64 (hypot.f64 c d)) -1))
(pow.f64 (hypot.f64 c d) -1)
(pow.f64 (/.f64 1 (hypot.f64 c d)) 1)
(pow.f64 (pow.f64 (hypot.f64 c d) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) 3)
(pow.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 3)) 1/3)
(pow.f64 (pow.f64 (hypot.f64 c d) 2) -1/2)
(sqrt.f64 (pow.f64 (hypot.f64 c d) -2))
(log.f64 (exp.f64 (/.f64 1 (hypot.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (hypot.f64 c d)))))
(cbrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (hypot.f64 c d))))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 c d)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 c d))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (hypot.f64 c d))))

Outputs
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 d b))
(.f64 d (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 a c (.f64 d b)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 a c (.f64 d b)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 a c (.f64 d b)))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 c a))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 a c (.f64 d b)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 a c (.f64 d b)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 a c (.f64 d b)))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 c a))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 a c (.f64 d b)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 a c (.f64 d b)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 a c (.f64 d b)))
b
(+.f64 b (/.f64 (*.f64 c a) d))
(+.f64 b (*.f64 (/.f64 c d) a))
(+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)))))
(+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (.f64 c c) (/.f64 (.f64 d d) b)))))
(+.f64 b (+.f64 (.f64 (/.f64 c d) a) (/.f64 (.f64 -1/2 (.f64 c (.f64 c b))) (*.f64 d d))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2))))))
(fma.f64 -1/2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 3) a)) (+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (.f64 c c) (/.f64 (.f64 d d) b))))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) a) (+.f64 b (+.f64 (.f64 (/.f64 c d) a) (/.f64 (.f64 -1/2 (.f64 c (.f64 c b))) (.f64 d d)))))
a
(+.f64 a (/.f64 (*.f64 d b) c))
(+.f64 a (/.f64 d (/.f64 c b)))
(+.f64 a (*.f64 (/.f64 d c) b))
(+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c)))
(+.f64 a (fma.f64 -1/2 (/.f64 (.f64 (.f64 d d) a) (*.f64 c c)) (/.f64 d (/.f64 c b))))
(+.f64 a (fma.f64 -1/2 (.f64 (/.f64 a (.f64 c c)) (.f64 d d)) (.f64 (/.f64 d c) b)))
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(fma.f64 -1/2 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 3) b)) (+.f64 a (fma.f64 -1/2 (/.f64 (.f64 (.f64 d d) a) (*.f64 c c)) (/.f64 d (/.f64 c b)))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) b) (+.f64 a (fma.f64 -1/2 (.f64 (/.f64 a (.f64 c c)) (.f64 d d)) (*.f64 (/.f64 d c) b))))
(*.f64 -1 a)
(neg.f64 a)
(+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (*.f64 -1 a))
(*.f64 -1 (+.f64 a (/.f64 d (/.f64 c b))))
(fma.f64 -1 (*.f64 (/.f64 d c) b) (neg.f64 a))
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(fma.f64 1/2 (/.f64 (.f64 (.f64 d d) a) (.f64 c c)) (.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))))
(fma.f64 1/2 (.f64 (/.f64 a (.f64 c c)) (.f64 d d)) (fma.f64 -1 (.f64 (/.f64 d c) b) (neg.f64 a)))
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(fma.f64 1/2 (/.f64 (.f64 (.f64 d d) a) (*.f64 c c)) (fma.f64 -1 (/.f64 d (/.f64 c b)) (fma.f64 1/2 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 3) b)) (neg.f64 a))))
(fma.f64 1/2 (.f64 (/.f64 a (.f64 c c)) (.f64 d d)) (fma.f64 -1 (.f64 (/.f64 d c) b) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) b) (neg.f64 a))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 c a))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 a c (.f64 d b)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 a c (.f64 d b)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 a c (.f64 d b)))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 d b))
(.f64 d (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 a c (.f64 d b)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 a c (.f64 d b)))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 a c (.f64 d b)))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (.f64 d b))
(.f64 d (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c))))))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 a c (.f64 d b)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 a c (.f64 d b)))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (fma.f64 a c (.f64 d b)))
a
(+.f64 a (/.f64 (*.f64 d b) c))
(+.f64 a (/.f64 d (/.f64 c b)))
(+.f64 a (*.f64 (/.f64 d c) b))
(+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c)))
(+.f64 a (fma.f64 -1/2 (/.f64 (.f64 (.f64 d d) a) (*.f64 c c)) (/.f64 d (/.f64 c b))))
(+.f64 a (fma.f64 -1/2 (.f64 (/.f64 a (.f64 c c)) (.f64 d d)) (.f64 (/.f64 d c) b)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))))
(fma.f64 -1/2 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 3) b)) (+.f64 a (fma.f64 -1/2 (/.f64 (.f64 (.f64 d d) a) (*.f64 c c)) (/.f64 d (/.f64 c b)))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) b) (+.f64 a (fma.f64 -1/2 (.f64 (/.f64 a (.f64 c c)) (.f64 d d)) (*.f64 (/.f64 d c) b))))
b
(+.f64 b (/.f64 (*.f64 c a) d))
(+.f64 b (*.f64 (/.f64 c d) a))
(+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)))))
(+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (.f64 c c) (/.f64 (.f64 d d) b)))))
(+.f64 b (+.f64 (.f64 (/.f64 c d) a) (/.f64 (.f64 -1/2 (.f64 c (.f64 c b))) (*.f64 d d))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2))))))
(fma.f64 -1/2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 3) a)) (+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (.f64 c c) (/.f64 (.f64 d d) b))))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) a) (+.f64 b (+.f64 (.f64 (/.f64 c d) a) (/.f64 (.f64 -1/2 (.f64 c (.f64 c b))) (.f64 d d)))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 -1 b) (.f64 -1 (/.f64 (*.f64 c a) d)))
(.f64 -1 (+.f64 b (/.f64 (.f64 c a) d)))
(.f64 (+.f64 b (.f64 (/.f64 c d) a)) -1)
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 2))) (+.f64 (.f64 -1 b) (.f64 -1 (/.f64 (*.f64 c a) d))))
(fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (.f64 d d) b)) (.f64 -1 (+.f64 b (/.f64 (.f64 c a) d))))
(fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (.f64 d d) b)) (.f64 (+.f64 b (.f64 (/.f64 c d) a)) -1))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 2))) (+.f64 (.f64 -1 b) (.f64 -1 (/.f64 (*.f64 c a) d)))))
(fma.f64 1/2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 3) a)) (fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (.f64 d d) b)) (.f64 -1 (+.f64 b (/.f64 (.f64 c a) d)))))
(fma.f64 1/2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) a) (fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (.f64 d d) b)) (.f64 (+.f64 b (*.f64 (/.f64 c d) a)) -1)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (*.f64 d d))))
(fma.f64 -1 (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b) (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))))
(fma.f64 -1 (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b) (fma.f64 -1 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a) (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (*.f64 d d)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 d (/.f64 (*.f64 c c) b)))
(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) b))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (/.f64 d (/.f64 (.f64 c c) b))))
(+.f64 (/.f64 a c) (fma.f64 -1 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (.f64 (/.f64 d (.f64 c c)) b)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 d (/.f64 (.f64 c c) b)))))
(+.f64 (/.f64 a c) (fma.f64 -1 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (.f64 (/.f64 d (.f64 c c)) b))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 d (/.f64 (*.f64 c c) b)))
(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) b))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (/.f64 d (/.f64 (.f64 c c) b))))
(+.f64 (/.f64 a c) (fma.f64 -1 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (.f64 (/.f64 d (.f64 c c)) b)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 d (/.f64 (.f64 c c) b)))))
(+.f64 (/.f64 a c) (fma.f64 -1 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (.f64 (/.f64 d (.f64 c c)) b))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 d (/.f64 (*.f64 c c) b)))
(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) b))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (/.f64 d (/.f64 (.f64 c c) b))))
(+.f64 (/.f64 a c) (fma.f64 -1 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (.f64 (/.f64 d (.f64 c c)) b)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 d (/.f64 (.f64 c c) b)))))
(+.f64 (/.f64 a c) (fma.f64 -1 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (.f64 (/.f64 d (.f64 c c)) b))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (*.f64 d d))))
(fma.f64 -1 (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b) (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))))
(fma.f64 -1 (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b) (fma.f64 -1 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a) (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (*.f64 d d)))))
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(.f64 (fma.f64 a c (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))
(pow.f64 (pow.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))) 3) 1/3)
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (fma.f64 a c (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))
(sqrt.f64 (pow.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))) 2))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2)) 2))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 a c (.f64 d b)) (pow.f64 (hypot.f64 c d) -2)) 2))
(log.f64 (exp.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)))))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (fma.f64 a c (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))))))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (fma.f64 a c (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))
(cbrt.f64 (pow.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))) 3))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (fma.f64 a c (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)) 3) (/.f64 1 (pow.f64 (hypot.f64 c d) 3))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d)) 3) (/.f64 1 (pow.f64 (hypot.f64 c d) 3))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))
(cbrt.f64 (.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 3)) (pow.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d)) 3) (/.f64 1 (pow.f64 (hypot.f64 c d) 3))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d)) 3) (/.f64 1 (pow.f64 (hypot.f64 c d) 3))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)))))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (fma.f64 a c (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))
(exp.f64 (log.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)))))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (fma.f64 a c (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)))) 1))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (fma.f64 a c (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))
(log1p.f64 (expm1.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)))))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (fma.f64 a c (.f64 d b)) (pow.f64 (hypot.f64 c d) -2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (hypot.f64 c d)))) 1)
(/.f64 1 (hypot.f64 c d))
(*.f64 1 (/.f64 1 (hypot.f64 c d)))
(/.f64 1 (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) 1)
(/.f64 1 (hypot.f64 c d))
(*.f64 (pow.f64 (hypot.f64 c d) -1/2) (pow.f64 (hypot.f64 c d) -1/2))
(/.f64 1 (hypot.f64 c d))
(*.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)) (/.f64 1 (cbrt.f64 (hypot.f64 c d))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) -2)) (/.f64 1 (cbrt.f64 (hypot.f64 c d))))
(*.f64 -1 (/.f64 -1 (hypot.f64 c d)))
(/.f64 1 (hypot.f64 c d))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 1 (cbrt.f64 (hypot.f64 c d))))
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (hypot.f64 c d)))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
(/.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
(*.f64 (/.f64 -1 (hypot.f64 c d)) -1)
(/.f64 1 (hypot.f64 c d))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) -1) (pow.f64 (sqrt.f64 (hypot.f64 c d)) -1))
(pow.f64 (sqrt.f64 (hypot.f64 c d)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) -1) (pow.f64 (cbrt.f64 (hypot.f64 c d)) -1))
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (hypot.f64 c d)))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
(/.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
(pow.f64 (hypot.f64 c d) -1)
(/.f64 1 (hypot.f64 c d))
(pow.f64 (/.f64 1 (hypot.f64 c d)) 1)
(/.f64 1 (hypot.f64 c d))
(pow.f64 (pow.f64 (hypot.f64 c d) -1/2) 2)
(/.f64 1 (hypot.f64 c d))
(pow.f64 (/.f64 1 (cbrt.f64 (hypot.f64 c d))) 3)
(/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 3))
(pow.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 3)))
(pow.f64 (pow.f64 (hypot.f64 c d) 2) -1/2)
(sqrt.f64 (pow.f64 (hypot.f64 c d) -2))
(log.f64 (exp.f64 (/.f64 1 (hypot.f64 c d))))
(/.f64 1 (hypot.f64 c d))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (hypot.f64 c d)))))
(/.f64 1 (hypot.f64 c d))
(cbrt.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (hypot.f64 c d))))
(/.f64 1 (hypot.f64 c d))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 c d))))
(/.f64 1 (hypot.f64 c d))
(exp.f64 (*.f64 (log.f64 (hypot.f64 c d)) -1))
(/.f64 1 (hypot.f64 c d))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 c d))) 1))
(/.f64 1 (hypot.f64 c d))
(log1p.f64 (expm1.f64 (/.f64 1 (hypot.f64 c d))))
(/.f64 1 (hypot.f64 c d))

localize4.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	1.9b	(+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))
✓	5.0b	(/.f64 (*.f64 c c) d)
✓	5.7b	(/.f64 b (/.f64 (*.f64 c c) d))

Compiler

Compiled 37 to 9 computations (75.7% saved)

series9.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	c	@	0	(/.f64 (*.f64 c c) d)
1.0ms	b	@	0	(/.f64 b (/.f64 (*.f64 c c) d))
1.0ms	c	@	0	(/.f64 b (/.f64 (*.f64 c c) d))
1.0ms	d	@	0	(/.f64 b (/.f64 (*.f64 c c) d))
0.0ms	b	@	inf	(/.f64 b (/.f64 (*.f64 c c) d))

rewrite101.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1368×	`associate-/r/`
616×	`associate-/l/`
610×	`distribute-rgt-in`
576×	`distribute-lft-in`
276×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	254	59
2	4146	59

Stop Event

1×	node limit

Counts

3 → 237

Calls

Call 1

Inputs
(/.f64 b (/.f64 (*.f64 c c) d))
(/.f64 (*.f64 c c) d)
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (/.f64 (*.f64 c c) d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 d (*.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 d (/.f64 b (*.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (/.f64 (*.f64 c c) d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (/.f64 (*.f64 c c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 b) c) (sqrt.f64 d)) (*.f64 (/.f64 (sqrt.f64 b) c) (sqrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 d (*.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (/.f64 (*.f64 c c) d))) (pow.f64 (cbrt.f64 (/.f64 b (/.f64 (*.f64 c c) d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (/.f64 (*.f64 c c) d))) 2) (cbrt.f64 (/.f64 b (/.f64 (*.f64 c c) d))))))) (#(struct:change #<rule egg-rr> (2) 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simplify111.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1342×	`associate-r`
1024×	`associate-l`
1010×	`associate-*r/`
980×	`*-commutative`
950×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	641	12839
1	2022	12375

Stop Event

1×	node limit

Counts

345 → 365

Calls

Call 1

Inputs
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (*.f64 d b) (pow.f64 c 2))
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(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2)) (-.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 3))) (+.f64 (pow.f64 (/.f64 a c) 2) (.f64 (/.f64 b (/.f64 (.f64 c c) d)) (+.f64 (/.f64 a c) (/.f64 b (/.f64 (.f64 c c) d))))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2)) (-.f64 (.f64 a (/.f64 c (.f64 b (/.f64 d c)))) c)) (.f64 c (/.f64 c (.f64 b (/.f64 d c)))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2)) (-.f64 (.f64 a (.f64 (/.f64 (neg.f64 c) d) c)) (.f64 c (neg.f64 b)))) (.f64 c (*.f64 (/.f64 (neg.f64 c) d) c)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2)) (-.f64 (/.f64 (.f64 c c) d) (.f64 (/.f64 c a) b))) (.f64 (/.f64 c a) (/.f64 (.f64 c c) d)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2)) (-.f64 (/.f64 c (.f64 b (/.f64 d c))) (.f64 (/.f64 c a) 1))) (.f64 (/.f64 c a) (/.f64 c (.f64 b (/.f64 d c)))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2)) (-.f64 (.f64 (/.f64 (neg.f64 c) d) c) (.f64 (/.f64 c a) (neg.f64 b)))) (.f64 (/.f64 c a) (.f64 (/.f64 (neg.f64 c) d) c)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2)) (-.f64 (.f64 (neg.f64 a) (/.f64 (.f64 c c) d)) (.f64 (neg.f64 c) b))) (.f64 (neg.f64 c) (/.f64 (*.f64 c c) d)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2)) (-.f64 (.f64 (neg.f64 a) (/.f64 c (.f64 b (/.f64 d c)))) (.f64 (neg.f64 c) 1))) (.f64 (neg.f64 c) (/.f64 c (*.f64 b (/.f64 d c)))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2)) (-.f64 (.f64 (neg.f64 a) (.f64 (/.f64 (neg.f64 c) d) c)) (.f64 (neg.f64 c) (neg.f64 b)))) (.f64 (neg.f64 c) (*.f64 (/.f64 (neg.f64 c) d) c)))
(.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 3)) (-.f64 (.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 a c) 2)) (.f64 (-.f64 (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2) (/.f64 (.f64 a b) (/.f64 (pow.f64 c 3) d))) (-.f64 (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2) (/.f64 (.f64 a b) (/.f64 (pow.f64 c 3) d)))))) (-.f64 (pow.f64 (/.f64 a c) 2) (-.f64 (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2) (/.f64 (.f64 a b) (/.f64 (pow.f64 c 3) d)))))
(.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 a c) 2) 3) (pow.f64 (-.f64 (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2) (/.f64 (.f64 a b) (/.f64 (pow.f64 c 3) d))) 3))) (+.f64 (.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 a c) 2)) (-.f64 (.f64 (-.f64 (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2) (/.f64 (.f64 a b) (/.f64 (pow.f64 c 3) d))) (-.f64 (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2) (/.f64 (.f64 a b) (/.f64 (pow.f64 c 3) d)))) (.f64 (pow.f64 (/.f64 a c) 2) (-.f64 (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2) (/.f64 (*.f64 a b) (/.f64 (pow.f64 c 3) d)))))))
(.f64 (/.f64 (fma.f64 a (/.f64 (.f64 c c) d) (.f64 b c)) (.f64 c c)) (/.f64 d c))
(.f64 (/.f64 (fma.f64 a (/.f64 (.f64 c c) d) (*.f64 b c)) (pow.f64 c 3)) d)
(.f64 (/.f64 (fma.f64 a (/.f64 (.f64 c c) d) (.f64 b c)) (.f64 c (*.f64 c (neg.f64 c)))) (neg.f64 d))
(.f64 (/.f64 (/.f64 (fma.f64 a (/.f64 (.f64 c c) d) (*.f64 b c)) c) c) (/.f64 d c))
(.f64 (/.f64 (/.f64 (fma.f64 a (/.f64 (.f64 c c) d) (.f64 b c)) c) (.f64 c c)) d)
(.f64 (/.f64 (/.f64 (fma.f64 a (/.f64 (.f64 c c) d) (.f64 b c)) c) 1) (/.f64 d (.f64 c c)))
(.f64 (/.f64 (/.f64 (fma.f64 a (/.f64 (.f64 c c) d) (.f64 b c)) c) (sqrt.f64 c)) (/.f64 d (.f64 (sqrt.f64 c) c)))
(.f64 (/.f64 (/.f64 (fma.f64 a (/.f64 (.f64 c c) d) (*.f64 b c)) c) (cbrt.f64 (pow.f64 c 4))) (/.f64 d (pow.f64 (cbrt.f64 c) 2)))
(.f64 (/.f64 (/.f64 (fma.f64 a (/.f64 (.f64 c c) d) (.f64 b c)) c) (pow.f64 (cbrt.f64 c) 2)) (/.f64 d (.f64 (cbrt.f64 c) c)))
(.f64 (/.f64 (/.f64 (fma.f64 a (/.f64 (.f64 c c) d) (*.f64 b c)) c) (neg.f64 c)) (neg.f64 (/.f64 d c)))
(.f64 (/.f64 (/.f64 (fma.f64 a (/.f64 (.f64 c c) d) (.f64 b c)) c) (.f64 c (neg.f64 c))) (neg.f64 d))
(.f64 (/.f64 (/.f64 (fma.f64 a (/.f64 (.f64 c c) d) (.f64 b c)) c) (/.f64 (.f64 c c) 1)) d)
(.f64 (/.f64 (/.f64 (fma.f64 a (/.f64 (.f64 c c) d) (.f64 b c)) c) (/.f64 (.f64 c c) (sqrt.f64 d))) (sqrt.f64 d))
(.f64 (/.f64 (/.f64 (fma.f64 a (/.f64 (.f64 c c) d) (.f64 b c)) c) (/.f64 (.f64 c c) (pow.f64 (cbrt.f64 d) 2))) (cbrt.f64 d))
(.f64 (/.f64 (/.f64 (fma.f64 a (/.f64 (.f64 c c) d) (.f64 b c)) c) -1) (neg.f64 (/.f64 d (.f64 c c))))
(.f64 (/.f64 (/.f64 (fma.f64 a (/.f64 (.f64 c c) d) (.f64 b c)) c) (neg.f64 (.f64 c (neg.f64 c)))) (neg.f64 (neg.f64 d)))
(/.f64 1 (/.f64 (-.f64 (/.f64 a c) (/.f64 b (/.f64 (.f64 c c) d))) (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2) (-.f64 (pow.f64 (/.f64 a c) 2) (/.f64 (.f64 a b) (/.f64 (pow.f64 c 3) d)))) (+.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (/.f64 b (/.f64 (*.f64 c c) d)) 3))))
(/.f64 1 (/.f64 (pow.f64 c 3) (.f64 (fma.f64 a (/.f64 (.f64 c c) d) (*.f64 b c)) d)))
(/.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2)) (-.f64 (/.f64 a c) (/.f64 b (/.f64 (.f64 c c) d))))
(/.f64 (+.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 3)) (+.f64 (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2) (-.f64 (pow.f64 (/.f64 a c) 2) (/.f64 (*.f64 a b) (/.f64 (pow.f64 c 3) d)))))
(/.f64 (fma.f64 a (/.f64 (.f64 c c) d) (.f64 b c)) (/.f64 (pow.f64 c 3) d))
(/.f64 (/.f64 (fma.f64 a (/.f64 (.f64 c c) d) (.f64 b c)) c) (/.f64 (*.f64 c c) d))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 c c) d) a) (.f64 (/.f64 (.f64 c c) d) a)) (.f64 (.f64 b c) (.f64 b c))) (.f64 (/.f64 (pow.f64 c 3) d) (-.f64 (.f64 (/.f64 (.f64 c c) d) a) (.f64 b c))))
(/.f64 (-.f64 (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2) (pow.f64 (/.f64 a c) 2)) (-.f64 (/.f64 b (/.f64 (.f64 c c) d)) (/.f64 a c)))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (/.f64 a c) 3)) (.f64 (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 3) (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 3))) (.f64 (+.f64 (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2) (-.f64 (pow.f64 (/.f64 a c) 2) (/.f64 (.f64 a b) (/.f64 (pow.f64 c 3) d)))) (-.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 a c) 2)) (.f64 (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2) (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2))) (.f64 (-.f64 (/.f64 a c) (/.f64 b (/.f64 (.f64 c c) d))) (+.f64 (pow.f64 (/.f64 b (/.f64 (*.f64 c c) d)) 2) (pow.f64 (/.f64 a c) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (.f64 c c) d) a) 3) (pow.f64 (.f64 b c) 3)) (.f64 (/.f64 (pow.f64 c 3) d) (-.f64 (+.f64 (.f64 (.f64 (/.f64 (.f64 c c) d) a) (.f64 (/.f64 (.f64 c c) d) a)) (.f64 (.f64 b c) (.f64 b c))) (.f64 (.f64 (/.f64 (.f64 c c) d) a) (.f64 b c)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 a c) 3) 3) (pow.f64 (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 3) 3)) (.f64 (+.f64 (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2) (-.f64 (pow.f64 (/.f64 a c) 2) (/.f64 (.f64 a b) (/.f64 (pow.f64 c 3) d)))) (+.f64 (.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (/.f64 a c) 3)) (-.f64 (.f64 (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 3) (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 3)) (.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 a c) 2) 3) (pow.f64 (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2) 3)) (.f64 (-.f64 (/.f64 a c) (/.f64 b (/.f64 (.f64 c c) d))) (+.f64 (.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 a c) 2)) (+.f64 (.f64 (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2) (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2)) (.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 b (/.f64 (*.f64 c c) d)) 2))))))
(/.f64 (+.f64 (/.f64 (.f64 c c) d) (.f64 b (/.f64 c a))) (.f64 (/.f64 (.f64 c c) d) (/.f64 c a)))
(/.f64 (+.f64 (.f64 b (neg.f64 c)) (.f64 (/.f64 (.f64 c c) d) (neg.f64 a))) (.f64 (/.f64 (*.f64 c c) d) (neg.f64 c)))
(/.f64 (+.f64 c (.f64 (/.f64 c (.f64 b (/.f64 d c))) a)) (.f64 (/.f64 c (.f64 b (/.f64 d c))) c))
(/.f64 (+.f64 (/.f64 c a) (.f64 (/.f64 c (.f64 b (/.f64 d c))) 1)) (.f64 (/.f64 c (.f64 b (/.f64 d c))) (/.f64 c a)))
(/.f64 (+.f64 (neg.f64 c) (.f64 (/.f64 c (.f64 b (/.f64 d c))) (neg.f64 a))) (.f64 (/.f64 c (.f64 b (/.f64 d c))) (neg.f64 c)))
(/.f64 (+.f64 (.f64 (neg.f64 b) c) (.f64 (.f64 (/.f64 (neg.f64 c) d) c) a)) (.f64 (*.f64 (/.f64 (neg.f64 c) d) c) c))
(/.f64 (+.f64 (.f64 (neg.f64 b) (/.f64 c a)) (.f64 (.f64 (/.f64 (neg.f64 c) d) c) 1)) (.f64 (*.f64 (/.f64 (neg.f64 c) d) c) (/.f64 c a)))
(/.f64 (+.f64 (.f64 (neg.f64 b) (neg.f64 c)) (.f64 (.f64 (/.f64 (neg.f64 c) d) c) (neg.f64 a))) (.f64 (*.f64 (/.f64 (neg.f64 c) d) c) (neg.f64 c)))
(/.f64 (+.f64 c (.f64 a (/.f64 c (.f64 b (/.f64 d c))))) (.f64 c (/.f64 c (.f64 b (/.f64 d c)))))
(/.f64 (+.f64 (.f64 a (.f64 (/.f64 (neg.f64 c) d) c)) (.f64 c (neg.f64 b))) (.f64 c (*.f64 (/.f64 (neg.f64 c) d) c)))
(/.f64 (+.f64 (/.f64 (.f64 c c) d) (.f64 (/.f64 c a) b)) (.f64 (/.f64 c a) (/.f64 (.f64 c c) d)))
(/.f64 (+.f64 (/.f64 c (.f64 b (/.f64 d c))) (.f64 (/.f64 c a) 1)) (.f64 (/.f64 c a) (/.f64 c (.f64 b (/.f64 d c)))))
(/.f64 (+.f64 (.f64 (/.f64 (neg.f64 c) d) c) (.f64 (/.f64 c a) (neg.f64 b))) (.f64 (/.f64 c a) (.f64 (/.f64 (neg.f64 c) d) c)))
(/.f64 (+.f64 (.f64 (neg.f64 a) (/.f64 (.f64 c c) d)) (.f64 (neg.f64 c) b)) (.f64 (neg.f64 c) (/.f64 (*.f64 c c) d)))
(/.f64 (+.f64 (.f64 (neg.f64 a) (/.f64 c (.f64 b (/.f64 d c)))) (.f64 (neg.f64 c) 1)) (.f64 (neg.f64 c) (/.f64 c (*.f64 b (/.f64 d c)))))
(/.f64 (+.f64 (.f64 (neg.f64 a) (.f64 (/.f64 (neg.f64 c) d) c)) (.f64 (neg.f64 c) (neg.f64 b))) (.f64 (neg.f64 c) (*.f64 (/.f64 (neg.f64 c) d) c)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2))) (neg.f64 (-.f64 (/.f64 a c) (/.f64 b (/.f64 (.f64 c c) d)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2) (-.f64 (pow.f64 (/.f64 a c) 2) (/.f64 (*.f64 a b) (/.f64 (pow.f64 c 3) d))))))
(/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) d) (.f64 b c))) (neg.f64 (/.f64 (pow.f64 c 3) d)))
(pow.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))))
(exp.f64 (log.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (.f64 c c) d)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 a (/.f64 1 c) (/.f64 b (/.f64 (*.f64 c c) d)))
(fma.f64 1 (/.f64 b (/.f64 (*.f64 c c) d)) (/.f64 a c))
(fma.f64 1 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))
(fma.f64 (.f64 (/.f64 (sqrt.f64 b) c) (sqrt.f64 d)) (.f64 (/.f64 (sqrt.f64 b) c) (sqrt.f64 d)) (/.f64 a c))
(fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 (/.f64 a c)) (/.f64 b (/.f64 (*.f64 c c) d)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (/.f64 (.f64 c c) d))) 2) (cbrt.f64 (/.f64 b (/.f64 (.f64 c c) d))) (/.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 a c)) 2) (cbrt.f64 (/.f64 a c)) (/.f64 b (/.f64 (*.f64 c c) d)))
(fma.f64 (/.f64 b (*.f64 c c)) d (/.f64 a c))

Outputs
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(.f64 b (/.f64 d (.f64 c c)))
(.f64 d (/.f64 b (.f64 c c)))
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(/.f64 (+.f64 (.f64 (/.f64 (neg.f64 c) d) c) (.f64 (/.f64 c a) (neg.f64 b))) (.f64 (/.f64 c a) (.f64 (/.f64 (neg.f64 c) d) c)))
(/.f64 (fma.f64 (/.f64 (neg.f64 c) d) c (.f64 (neg.f64 b) (/.f64 c a))) (.f64 (/.f64 (neg.f64 c) d) (*.f64 c (/.f64 c a))))
(.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 c) d) c (.f64 b (neg.f64 (/.f64 c a)))) (/.f64 (neg.f64 (pow.f64 c 3)) d)) a)
(/.f64 (+.f64 (.f64 (neg.f64 a) (/.f64 (.f64 c c) d)) (.f64 (neg.f64 c) b)) (.f64 (neg.f64 c) (/.f64 (*.f64 c c) d)))
(.f64 (neg.f64 d) (/.f64 (fma.f64 a (.f64 c (/.f64 c d)) (.f64 b c)) (.f64 c (*.f64 c (neg.f64 c)))))
(/.f64 (fma.f64 a (.f64 c (/.f64 c d)) (.f64 b c)) (/.f64 (neg.f64 (pow.f64 c 3)) (neg.f64 d)))
(/.f64 (+.f64 (.f64 (neg.f64 a) (/.f64 c (.f64 b (/.f64 d c)))) (.f64 (neg.f64 c) 1)) (.f64 (neg.f64 c) (/.f64 c (*.f64 b (/.f64 d c)))))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 c (.f64 b (/.f64 d c))) (neg.f64 c)) (.f64 (neg.f64 c) (/.f64 c (*.f64 b (/.f64 d c)))))
(/.f64 (neg.f64 (+.f64 c (.f64 a (/.f64 c (.f64 b (/.f64 d c)))))) (/.f64 (/.f64 (neg.f64 (pow.f64 c 3)) d) b))
(/.f64 (+.f64 (.f64 (neg.f64 a) (.f64 (/.f64 (neg.f64 c) d) c)) (.f64 (neg.f64 c) (neg.f64 b))) (.f64 (neg.f64 c) (*.f64 (/.f64 (neg.f64 c) d) c)))
(/.f64 (fma.f64 (neg.f64 a) (.f64 c (/.f64 (neg.f64 c) d)) (.f64 (neg.f64 b) (neg.f64 c))) (.f64 (/.f64 (neg.f64 c) d) (.f64 c (neg.f64 c))))
(/.f64 (fma.f64 (neg.f64 b) (neg.f64 c) (/.f64 (*.f64 c c) (/.f64 d a))) (/.f64 (pow.f64 c 3) d))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2))) (neg.f64 (-.f64 (/.f64 a c) (/.f64 b (/.f64 (.f64 c c) d)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (.f64 b (/.f64 d (.f64 c c))) 2))) (neg.f64 (-.f64 (/.f64 a c) (.f64 b (/.f64 d (.f64 c c))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (.f64 d (/.f64 b (.f64 c c))) 2))) (-.f64 (.f64 d (/.f64 b (.f64 c c))) (/.f64 a c)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 b (/.f64 (.f64 c c) d)) 2) (-.f64 (pow.f64 (/.f64 a c) 2) (/.f64 (*.f64 a b) (/.f64 (pow.f64 c 3) d))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 b (/.f64 d (.f64 c c))) 3) (pow.f64 (/.f64 a c) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 b (/.f64 d (.f64 c c))) 2) (-.f64 (pow.f64 (/.f64 a c) 2) (/.f64 a (/.f64 (/.f64 (pow.f64 c 3) d) b))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 d (/.f64 b (.f64 c c))) 3) (pow.f64 (/.f64 a c) 3))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 d (/.f64 b (.f64 c c))) 2) (pow.f64 (/.f64 a c) 2)) (*.f64 d (/.f64 b (/.f64 (pow.f64 c 3) a))))))
(/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) d) (.f64 b c))) (neg.f64 (/.f64 (pow.f64 c 3) d)))
(.f64 (neg.f64 d) (/.f64 (fma.f64 a (.f64 c (/.f64 c d)) (.f64 b c)) (.f64 c (*.f64 c (neg.f64 c)))))
(/.f64 (fma.f64 a (.f64 c (/.f64 c d)) (.f64 b c)) (/.f64 (neg.f64 (pow.f64 c 3)) (neg.f64 d)))
(pow.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d))) 1)
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))) 2)
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))) 3)
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(pow.f64 (pow.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d))) 3) 1/3)
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d))) 2))
(sqrt.f64 (pow.f64 (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d))))))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d))) 3))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(exp.f64 (log.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (.f64 c c) d)))) 1))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 a (/.f64 1 c) (/.f64 b (/.f64 (*.f64 c c) d)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 1 (/.f64 b (/.f64 (*.f64 c c) d)) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 1 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 (.f64 (/.f64 (sqrt.f64 b) c) (sqrt.f64 d)) (.f64 (/.f64 (sqrt.f64 b) c) (sqrt.f64 d)) (/.f64 a c))
(+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 b) c) (sqrt.f64 d)) 2) (/.f64 a c))
(+.f64 (/.f64 a c) (pow.f64 (*.f64 (/.f64 (sqrt.f64 b) c) (sqrt.f64 d)) 2))
(fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 (/.f64 a c)) (/.f64 b (/.f64 (*.f64 c c) d)))
(fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 (/.f64 a c)) (.f64 b (/.f64 d (.f64 c c))))
(fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 (/.f64 a c)) (.f64 d (/.f64 b (.f64 c c))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (/.f64 (.f64 c c) d))) 2) (cbrt.f64 (/.f64 b (/.f64 (.f64 c c) d))) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 a c)) 2) (cbrt.f64 (/.f64 a c)) (/.f64 b (/.f64 (*.f64 c c) d)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 a c)) 2) (cbrt.f64 (/.f64 a c)) (.f64 b (/.f64 d (.f64 c c))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 a c)) 2) (cbrt.f64 (/.f64 a c)) (.f64 d (/.f64 b (.f64 c c))))
(fma.f64 (/.f64 b (*.f64 c c)) d (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	2.2b	(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
✓	4.8b	(/.f64 c (/.f64 (*.f64 d d) a))
✓	7.2b	(/.f64 (*.f64 d d) a)

Compiler

Compiled 37 to 9 computations (75.7% saved)

series7.0ms (0%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	c	@	0	(/.f64 c (/.f64 (*.f64 d d) a))
0.0ms	d	@	0	(/.f64 (*.f64 d d) a)
0.0ms	d	@	inf	(/.f64 (*.f64 d d) a)
0.0ms	a	@	0	(/.f64 c (/.f64 (*.f64 d d) a))
0.0ms	c	@	inf	(/.f64 c (/.f64 (*.f64 d d) a))

rewrite100.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1368×	`associate-/r/`
622×	`associate-/l/`
610×	`distribute-rgt-in`
576×	`distribute-lft-in`
276×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	254	59
2	4145	59

Stop Event

1×	node limit

Counts

3 → 237

Calls

Call 1

Inputs
(/.f64 (*.f64 d d) a)
(/.f64 c (/.f64 (*.f64 d d) a))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 d d) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 d (*.f64 d (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 d (*.f64 1 (/.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d d) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 d d) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 d d) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (sqrt.f64 a)) (/.f64 d (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 d d) a)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 d d) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 d d) a)) 2) (cbrt.f64 (/.f64 (*.f64 d d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 d 4)) (*.f64 (cbrt.f64 (*.f64 d d)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d (neg.f64 d)) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (*.f64 d d) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (*.f64 d d) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d 1) (/.f64 d a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d a) d)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 d (neg.f64 d)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1 (/.f64 d a)) d)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 a)) (*.f64 d (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (pow.f64 (cbrt.f64 a) 2)) (/.f64 d (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 d 4)) 1) (/.f64 (cbrt.f64 (*.f64 d d)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 d 4)) (sqrt.f64 a)) (/.f64 (cbrt.f64 (*.f64 d d)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 d 4)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (*.f64 d d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (neg.f64 a)) (neg.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (/.f64 a 1)) d)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (/.f64 a (sqrt.f64 d))) (sqrt.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (/.f64 a (cbrt.f64 (*.f64 d d)))) (cbrt.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 a (cbrt.f64 (pow.f64 d 4)))) (cbrt.f64 (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (*.f64 d d))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (*.f64 d d) a)) 2))) (cbrt.f64 (/.f64 (*.f64 d d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 d) (/.f64 a d)) (sqrt.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 d d)) (/.f64 a d)) (cbrt.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 d 4)) a) (cbrt.f64 (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 d d) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 d (sqrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 d d) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 d d) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 d d)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 d d) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 d 4) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 d d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 d d) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 d d) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 d d) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 d d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 d d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 d d) a)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 c (/.f64 (*.f64 d d) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 c (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (/.f64 a (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (/.f64 (*.f64 d d) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 c (/.f64 (*.f64 d d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 c) d) (sqrt.f64 a)) (*.f64 (/.f64 (sqrt.f64 c) d) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) (/.f64 a (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 c (/.f64 (*.f64 d d) a))) (pow.f64 (cbrt.f64 (/.f64 c (/.f64 (*.f64 d d) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 (*.f64 d d) a))) 2) (cbrt.f64 (/.f64 c (/.f64 (*.f64 d d) a))))))) (#(struct:change #<rule egg-rr> (2) 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simplify111.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1258×	`associate-r`
996×	`associate-*r/`
984×	`associate-l`
942×	`*-commutative`
940×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	635	12839
1	2011	12383

Stop Event

1×	node limit

Counts

345 → 368

Calls

Call 1

Inputs
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (pow.f64 d 2) a)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
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(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2)) (-.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 3))) (+.f64 (pow.f64 (/.f64 b d) 2) (.f64 (/.f64 c (/.f64 (.f64 d d) a)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a))))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2)) (-.f64 (.f64 b (/.f64 d (.f64 c (/.f64 a d)))) d)) (.f64 d (/.f64 d (.f64 c (/.f64 a d)))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2)) (-.f64 (.f64 b (/.f64 (.f64 d (neg.f64 d)) a)) (.f64 d (neg.f64 c)))) (.f64 d (/.f64 (*.f64 d (neg.f64 d)) a)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2)) (-.f64 (/.f64 (.f64 d d) a) (.f64 (/.f64 d b) c))) (.f64 (/.f64 d b) (/.f64 (.f64 d d) a)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2)) (-.f64 (/.f64 d (.f64 c (/.f64 a d))) (.f64 (/.f64 d b) 1))) (.f64 (/.f64 d b) (/.f64 d (.f64 c (/.f64 a d)))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2)) (-.f64 (/.f64 (.f64 d (neg.f64 d)) a) (.f64 (/.f64 d b) (neg.f64 c)))) (.f64 (/.f64 d b) (/.f64 (.f64 d (neg.f64 d)) a)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2)) (-.f64 (.f64 (neg.f64 b) (/.f64 (.f64 d d) a)) (.f64 (neg.f64 d) c))) (.f64 (neg.f64 d) (/.f64 (*.f64 d d) a)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2)) (-.f64 (.f64 (neg.f64 b) (/.f64 d (.f64 c (/.f64 a d)))) (.f64 (neg.f64 d) 1))) (.f64 (neg.f64 d) (/.f64 d (*.f64 c (/.f64 a d)))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2)) (-.f64 (.f64 (neg.f64 b) (/.f64 (.f64 d (neg.f64 d)) a)) (.f64 (neg.f64 d) (neg.f64 c)))) (.f64 (neg.f64 d) (/.f64 (*.f64 d (neg.f64 d)) a)))
(.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 3)) (-.f64 (.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 b d) 2)) (.f64 (-.f64 (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2) (/.f64 (.f64 b c) (/.f64 (pow.f64 d 3) a))) (-.f64 (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2) (/.f64 (.f64 b c) (/.f64 (pow.f64 d 3) a)))))) (-.f64 (pow.f64 (/.f64 b d) 2) (-.f64 (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2) (/.f64 (.f64 b c) (/.f64 (pow.f64 d 3) a)))))
(.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 b d) 2) 3) (pow.f64 (-.f64 (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2) (/.f64 (.f64 b c) (/.f64 (pow.f64 d 3) a))) 3))) (+.f64 (.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 b d) 2)) (-.f64 (.f64 (-.f64 (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2) (/.f64 (.f64 b c) (/.f64 (pow.f64 d 3) a))) (-.f64 (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2) (/.f64 (.f64 b c) (/.f64 (pow.f64 d 3) a)))) (.f64 (pow.f64 (/.f64 b d) 2) (-.f64 (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2) (/.f64 (*.f64 b c) (/.f64 (pow.f64 d 3) a)))))))
(.f64 (/.f64 (fma.f64 b (/.f64 (.f64 d d) a) (.f64 d c)) (.f64 d d)) (/.f64 a d))
(.f64 (/.f64 (fma.f64 b (/.f64 (.f64 d d) a) (*.f64 d c)) (pow.f64 d 3)) a)
(.f64 (/.f64 (fma.f64 b (/.f64 (.f64 d d) a) (.f64 d c)) (.f64 d (*.f64 d (neg.f64 d)))) (neg.f64 a))
(.f64 (/.f64 (/.f64 (fma.f64 b (/.f64 (.f64 d d) a) (*.f64 d c)) d) d) (/.f64 a d))
(.f64 (/.f64 (/.f64 (fma.f64 b (/.f64 (.f64 d d) a) (.f64 d c)) d) (.f64 d d)) a)
(.f64 (/.f64 (/.f64 (fma.f64 b (/.f64 (.f64 d d) a) (.f64 d c)) d) 1) (/.f64 a (.f64 d d)))
(.f64 (/.f64 (/.f64 (fma.f64 b (/.f64 (.f64 d d) a) (.f64 d c)) d) (sqrt.f64 d)) (/.f64 a (.f64 (sqrt.f64 d) d)))
(.f64 (/.f64 (/.f64 (fma.f64 b (/.f64 (.f64 d d) a) (.f64 d c)) d) (cbrt.f64 (.f64 d d))) (/.f64 a (*.f64 (cbrt.f64 d) d)))
(.f64 (/.f64 (/.f64 (fma.f64 b (/.f64 (.f64 d d) a) (.f64 d c)) d) (cbrt.f64 (pow.f64 d 4))) (/.f64 a (cbrt.f64 (.f64 d d))))
(.f64 (/.f64 (/.f64 (fma.f64 b (/.f64 (.f64 d d) a) (.f64 d c)) d) (.f64 d (neg.f64 d))) (neg.f64 a))
(.f64 (/.f64 (/.f64 (fma.f64 b (/.f64 (.f64 d d) a) (*.f64 d c)) d) (neg.f64 d)) (neg.f64 (/.f64 a d)))
(.f64 (/.f64 (/.f64 (fma.f64 b (/.f64 (.f64 d d) a) (.f64 d c)) d) (/.f64 (.f64 d d) 1)) a)
(.f64 (/.f64 (/.f64 (fma.f64 b (/.f64 (.f64 d d) a) (.f64 d c)) d) (/.f64 (.f64 d d) (sqrt.f64 a))) (sqrt.f64 a))
(.f64 (/.f64 (/.f64 (fma.f64 b (/.f64 (.f64 d d) a) (.f64 d c)) d) (/.f64 (.f64 d d) (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(.f64 (/.f64 (/.f64 (fma.f64 b (/.f64 (.f64 d d) a) (.f64 d c)) d) -1) (neg.f64 (/.f64 a (.f64 d d))))
(.f64 (/.f64 (/.f64 (fma.f64 b (/.f64 (.f64 d d) a) (.f64 d c)) d) (neg.f64 (.f64 d (neg.f64 d)))) (neg.f64 (neg.f64 a)))
(/.f64 1 (/.f64 (-.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a))) (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2) (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (.f64 b c) (/.f64 (pow.f64 d 3) a)))) (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 c (/.f64 (*.f64 d d) a)) 3))))
(/.f64 1 (/.f64 (/.f64 (pow.f64 d 3) a) (fma.f64 b (/.f64 (.f64 d d) a) (.f64 d c))))
(/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2)) (-.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a))))
(/.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 3)) (+.f64 (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2) (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (*.f64 b c) (/.f64 (pow.f64 d 3) a)))))
(/.f64 (fma.f64 b (/.f64 (.f64 d d) a) (.f64 d c)) (/.f64 (pow.f64 d 3) a))
(/.f64 (/.f64 (fma.f64 b (/.f64 (.f64 d d) a) (.f64 d c)) d) (/.f64 (*.f64 d d) a))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 d d) a) b) (.f64 (/.f64 (.f64 d d) a) b)) (.f64 (.f64 d c) (.f64 d c))) (.f64 (/.f64 (pow.f64 d 3) a) (-.f64 (.f64 (/.f64 (.f64 d d) a) b) (.f64 d c))))
(/.f64 (-.f64 (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2) (pow.f64 (/.f64 b d) 2)) (-.f64 (/.f64 c (/.f64 (.f64 d d) a)) (/.f64 b d)))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 b d) 3)) (.f64 (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 3) (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 3))) (.f64 (+.f64 (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2) (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (.f64 b c) (/.f64 (pow.f64 d 3) a)))) (-.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 b d) 2)) (.f64 (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2) (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2))) (.f64 (-.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a))) (+.f64 (pow.f64 (/.f64 c (/.f64 (*.f64 d d) a)) 2) (pow.f64 (/.f64 b d) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (.f64 d d) a) b) 3) (pow.f64 (.f64 d c) 3)) (.f64 (/.f64 (pow.f64 d 3) a) (-.f64 (+.f64 (.f64 (.f64 (/.f64 (.f64 d d) a) b) (.f64 (/.f64 (.f64 d d) a) b)) (.f64 (.f64 d c) (.f64 d c))) (.f64 (.f64 (/.f64 (.f64 d d) a) b) (.f64 d c)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b d) 3) 3) (pow.f64 (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 3) 3)) (.f64 (+.f64 (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2) (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (.f64 b c) (/.f64 (pow.f64 d 3) a)))) (+.f64 (.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 b d) 3)) (-.f64 (.f64 (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 3) (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 3)) (.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 b d) 2) 3) (pow.f64 (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2) 3)) (.f64 (-.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a))) (+.f64 (.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 b d) 2)) (+.f64 (.f64 (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2) (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2)) (.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 c (/.f64 (*.f64 d d) a)) 2))))))
(/.f64 (+.f64 (/.f64 (.f64 d d) a) (.f64 c (/.f64 d b))) (.f64 (/.f64 (.f64 d d) a) (/.f64 d b)))
(/.f64 (+.f64 (.f64 c (neg.f64 d)) (.f64 (/.f64 (.f64 d d) a) (neg.f64 b))) (.f64 (/.f64 (*.f64 d d) a) (neg.f64 d)))
(/.f64 (+.f64 d (.f64 (/.f64 d (.f64 c (/.f64 a d))) b)) (.f64 (/.f64 d (.f64 c (/.f64 a d))) d))
(/.f64 (+.f64 (/.f64 d b) (.f64 (/.f64 d (.f64 c (/.f64 a d))) 1)) (.f64 (/.f64 d (.f64 c (/.f64 a d))) (/.f64 d b)))
(/.f64 (+.f64 (neg.f64 d) (.f64 (/.f64 d (.f64 c (/.f64 a d))) (neg.f64 b))) (.f64 (/.f64 d (.f64 c (/.f64 a d))) (neg.f64 d)))
(/.f64 (+.f64 (.f64 (neg.f64 c) d) (.f64 (/.f64 (.f64 d (neg.f64 d)) a) b)) (.f64 (/.f64 (*.f64 d (neg.f64 d)) a) d))
(/.f64 (+.f64 (.f64 (neg.f64 c) (/.f64 d b)) (.f64 (/.f64 (.f64 d (neg.f64 d)) a) 1)) (.f64 (/.f64 (*.f64 d (neg.f64 d)) a) (/.f64 d b)))
(/.f64 (+.f64 (.f64 (neg.f64 c) (neg.f64 d)) (.f64 (/.f64 (.f64 d (neg.f64 d)) a) (neg.f64 b))) (.f64 (/.f64 (*.f64 d (neg.f64 d)) a) (neg.f64 d)))
(/.f64 (+.f64 d (.f64 b (/.f64 d (.f64 c (/.f64 a d))))) (.f64 d (/.f64 d (.f64 c (/.f64 a d)))))
(/.f64 (+.f64 (.f64 b (/.f64 (.f64 d (neg.f64 d)) a)) (.f64 d (neg.f64 c))) (.f64 d (/.f64 (*.f64 d (neg.f64 d)) a)))
(/.f64 (+.f64 (/.f64 (.f64 d d) a) (.f64 (/.f64 d b) c)) (.f64 (/.f64 d b) (/.f64 (.f64 d d) a)))
(/.f64 (+.f64 (/.f64 d (.f64 c (/.f64 a d))) (.f64 (/.f64 d b) 1)) (.f64 (/.f64 d b) (/.f64 d (.f64 c (/.f64 a d)))))
(/.f64 (+.f64 (/.f64 (.f64 d (neg.f64 d)) a) (.f64 (/.f64 d b) (neg.f64 c))) (.f64 (/.f64 d b) (/.f64 (.f64 d (neg.f64 d)) a)))
(/.f64 (+.f64 (.f64 (neg.f64 b) (/.f64 (.f64 d d) a)) (.f64 (neg.f64 d) c)) (.f64 (neg.f64 d) (/.f64 (*.f64 d d) a)))
(/.f64 (+.f64 (.f64 (neg.f64 b) (/.f64 d (.f64 c (/.f64 a d)))) (.f64 (neg.f64 d) 1)) (.f64 (neg.f64 d) (/.f64 d (*.f64 c (/.f64 a d)))))
(/.f64 (+.f64 (.f64 (neg.f64 b) (/.f64 (.f64 d (neg.f64 d)) a)) (.f64 (neg.f64 d) (neg.f64 c))) (.f64 (neg.f64 d) (/.f64 (*.f64 d (neg.f64 d)) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2))) (neg.f64 (-.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2) (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (*.f64 b c) (/.f64 (pow.f64 d 3) a))))))
(/.f64 (neg.f64 (fma.f64 b (/.f64 (.f64 d d) a) (.f64 d c))) (neg.f64 (/.f64 (pow.f64 d 3) a)))
(pow.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))))
(exp.f64 (log.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(fma.f64 b (/.f64 1 d) (/.f64 c (/.f64 (*.f64 d d) a)))
(fma.f64 1 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(fma.f64 1 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(fma.f64 (.f64 (/.f64 (sqrt.f64 c) d) (sqrt.f64 a)) (.f64 (/.f64 (sqrt.f64 c) d) (sqrt.f64 a)) (/.f64 b d))
(fma.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)) (/.f64 c (/.f64 (*.f64 d d) a)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 (.f64 d d) a))) 2) (cbrt.f64 (/.f64 c (/.f64 (.f64 d d) a))) (/.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (cbrt.f64 (/.f64 b d)) (/.f64 c (/.f64 (*.f64 d d) a)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))

Outputs
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (pow.f64 d 2) a)
(*.f64 d (/.f64 d a))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 a (/.f64 c (.f64 d d)))
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(/.f64 (fma.f64 (neg.f64 b) (/.f64 d (.f64 c (/.f64 a d))) (neg.f64 d)) (/.f64 (.f64 d (neg.f64 d)) (*.f64 c (/.f64 a d))))
(/.f64 (fma.f64 (neg.f64 b) (.f64 (/.f64 d (.f64 a c)) d) (neg.f64 d)) (/.f64 (/.f64 (neg.f64 (pow.f64 d 3)) a) c))
(/.f64 (+.f64 (.f64 (neg.f64 b) (/.f64 (.f64 d (neg.f64 d)) a)) (.f64 (neg.f64 d) (neg.f64 c))) (.f64 (neg.f64 d) (/.f64 (*.f64 d (neg.f64 d)) a)))
(/.f64 (fma.f64 (neg.f64 c) (neg.f64 d) (.f64 (/.f64 d (/.f64 a (neg.f64 d))) (neg.f64 b))) (.f64 (neg.f64 d) (/.f64 d (/.f64 a (neg.f64 d)))))
(/.f64 (fma.f64 (neg.f64 c) (neg.f64 d) (.f64 (/.f64 d a) (.f64 d b))) (/.f64 (pow.f64 d 3) a))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2))) (neg.f64 (-.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 2))) (neg.f64 (-.f64 (/.f64 b d) (.f64 a (/.f64 c (.f64 d d))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 2))) (-.f64 (.f64 a (/.f64 c (.f64 d d))) (/.f64 b d)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 c (/.f64 (.f64 d d) a)) 2) (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (*.f64 b c) (/.f64 (pow.f64 d 3) a))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 3) (pow.f64 (/.f64 b d) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 2) (-.f64 (pow.f64 (/.f64 b d) 2) (.f64 (/.f64 (.f64 c b) (pow.f64 d 3)) a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 3) (pow.f64 (/.f64 b d) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 b d) 2) (-.f64 (pow.f64 (.f64 a (/.f64 c (.f64 d d))) 2) (*.f64 a (/.f64 c (/.f64 (pow.f64 d 3) b)))))))
(/.f64 (neg.f64 (fma.f64 b (/.f64 (.f64 d d) a) (.f64 d c))) (neg.f64 (/.f64 (pow.f64 d 3) a)))
(.f64 (neg.f64 a) (/.f64 (fma.f64 b (.f64 d (/.f64 d a)) (.f64 d c)) (.f64 d (*.f64 d (neg.f64 d)))))
(.f64 (neg.f64 a) (/.f64 (fma.f64 b (.f64 d (/.f64 d a)) (*.f64 d c)) (neg.f64 (pow.f64 d 3))))
(pow.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a))) 1)
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))) 2)
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))) 3)
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(pow.f64 (pow.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a))) 3) 1/3)
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) 2))
(sqrt.f64 (pow.f64 (fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a))))))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a))) 3))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(exp.f64 (log.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a)))) 1))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 b (/.f64 1 d) (/.f64 c (/.f64 (*.f64 d d) a)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(fma.f64 1 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(fma.f64 1 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(fma.f64 (.f64 (/.f64 (sqrt.f64 c) d) (sqrt.f64 a)) (.f64 (/.f64 (sqrt.f64 c) d) (sqrt.f64 a)) (/.f64 b d))
(+.f64 (pow.f64 (*.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 c) d)) 2) (/.f64 b d))
(+.f64 (/.f64 b d) (pow.f64 (/.f64 (sqrt.f64 c) (/.f64 d (sqrt.f64 a))) 2))
(fma.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)) (/.f64 c (/.f64 (*.f64 d d) a)))
(fma.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)) (.f64 a (/.f64 c (.f64 d d))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 (.f64 d d) a))) 2) (cbrt.f64 (/.f64 c (/.f64 (.f64 d d) a))) (/.f64 b d))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (cbrt.f64 (/.f64 b d)) (/.f64 c (/.f64 (*.f64 d d) a)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (cbrt.f64 (/.f64 b d)) (.f64 a (/.f64 c (.f64 d d))))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(+.f64 (.f64 a c) (.f64 b d))
✓	0.7b	(/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))
✓	25.2b	(.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (.f64 a c) (*.f64 b d)))

Compiler

Compiled 61 to 16 computations (73.8% saved)

series4.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	d	@	-inf	(/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))
0.0ms	c	@	0	(/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))
0.0ms	c	@	inf	(/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))
0.0ms	d	@	0	(/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))
0.0ms	d	@	inf	(/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))

rewrite111.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1094×	`distribute-lft-in`
940×	`associate-/r*`
648×	`associate-/l*`
590×	`associate-/r/`
356×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	325	52
2	4542	52

Stop Event

1×	node limit

Counts

2 → 196

Calls

Call 1

Inputs
(.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (.f64 a c) (*.f64 b d)))
(/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))

Outputs

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c) (*.f64 d d))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 c c) (*.f64 d d)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 2 (log.f64 (hypot.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 c d))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (*.f64 2 (log.f64 (hypot.f64 c d)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (*.f64 c c) (*.f64 d d)))))))))

simplify125.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

822×	`associate-/l*`
748×	`associate-r`
642×	`*-commutative`
626×	`associate-l`
620×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	626	16778
1	1878	15732

Stop Event

1×	node limit

Counts

268 → 364

Calls

Call 1

Inputs
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 1 (pow.f64 d 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 1 (pow.f64 d 2)) (/.f64 (pow.f64 c 4) (pow.f64 d 6))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 6) (pow.f64 d 8))) (+.f64 (/.f64 1 (pow.f64 d 2)) (/.f64 (pow.f64 c 4) (pow.f64 d 6)))))
(/.f64 1 (pow.f64 c 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (/.f64 1 (pow.f64 c 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (pow.f64 d 4) (pow.f64 c 6))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 d 6) (pow.f64 c 8))) (+.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (pow.f64 d 4) (pow.f64 c 6)))))
(/.f64 1 (pow.f64 c 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (/.f64 1 (pow.f64 c 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (pow.f64 d 4) (pow.f64 c 6))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 d 6) (pow.f64 c 8))) (+.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (pow.f64 d 4) (pow.f64 c 6)))))
(/.f64 1 (pow.f64 c 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (/.f64 1 (pow.f64 c 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (pow.f64 d 4) (pow.f64 c 6))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 d 6) (pow.f64 c 8))) (+.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (pow.f64 d 4) (pow.f64 c 6)))))
(/.f64 1 (pow.f64 d 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 1 (pow.f64 d 2)) (/.f64 (pow.f64 c 4) (pow.f64 d 6))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 6) (pow.f64 d 8))) (+.f64 (/.f64 1 (pow.f64 d 2)) (/.f64 (pow.f64 c 4) (pow.f64 d 6)))))
(/.f64 1 (pow.f64 d 2))
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(.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)))) (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (.f64 c c) (.f64 d d)) 2))) (cbrt.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)))) (cbrt.f64 (fma.f64 c c (neg.f64 (.f64 d d)))))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (.f64 c c) (.f64 d d)) 2))) (cbrt.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)))) (cbrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(.f64 (/.f64 (fma.f64 c c (neg.f64 (.f64 d d))) (-.f64 (.f64 (pow.f64 c 4) (pow.f64 c 4)) (.f64 (pow.f64 d 4) (pow.f64 d 4)))) (+.f64 (pow.f64 c 4) (pow.f64 d 4)))
(.f64 (/.f64 (fma.f64 c c (neg.f64 (.f64 d d))) (-.f64 (pow.f64 (pow.f64 c 4) 3) (pow.f64 (pow.f64 d 4) 3))) (+.f64 (.f64 (pow.f64 c 4) (pow.f64 c 4)) (+.f64 (.f64 (pow.f64 d 4) (pow.f64 d 4)) (*.f64 (pow.f64 c 4) (pow.f64 d 4)))))
(pow.f64 (+.f64 (.f64 c c) (.f64 d d)) -1)
(pow.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d))) 1)
(pow.f64 (/.f64 1 (hypot.f64 c d)) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 c c) (.f64 d d)) 3)) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (.f64 c c) (.f64 d d)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d))))))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 c c) (.f64 d d)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))))
(exp.f64 (neg.f64 (*.f64 2 (log.f64 (hypot.f64 c d)))))
(exp.f64 (.f64 (.f64 2 (log.f64 (hypot.f64 c d))) -1))
(exp.f64 (.f64 (neg.f64 (.f64 2 (log.f64 (hypot.f64 c d)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))))

Outputs
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (*.f64 d d))))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d))) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (*.f64 d d)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a))) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 d (/.f64 (*.f64 c c) b)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 (.f64 a (.f64 d d)) (pow.f64 c 3)) (/.f64 d (/.f64 (*.f64 c c) b))))
(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 (.f64 a (.f64 d d)) (pow.f64 c 3)) (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 d (/.f64 (*.f64 c c) b)))))
(+.f64 (-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b)) (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 d (/.f64 (*.f64 c c) b)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 (.f64 a (.f64 d d)) (pow.f64 c 3)) (/.f64 d (/.f64 (*.f64 c c) b))))
(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 (.f64 a (.f64 d d)) (pow.f64 c 3)) (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 d (/.f64 (*.f64 c c) b)))))
(+.f64 (-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b)) (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 d (/.f64 (*.f64 c c) b)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 (.f64 a (.f64 d d)) (pow.f64 c 3)) (/.f64 d (/.f64 (*.f64 c c) b))))
(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 (.f64 a (.f64 d d)) (pow.f64 c 3)) (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 d (/.f64 (*.f64 c c) b)))))
(+.f64 (-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b)) (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (*.f64 d d))))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d))) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (*.f64 d d)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a))) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (*.f64 d d))))
(-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d))) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (*.f64 d d)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d))) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a))) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)
(.f64 b (/.f64 d (fma.f64 d d (.f64 c c))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
(fma.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
(fma.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
(fma.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (fma.f64 c c (.f64 d d)))
(.f64 c (/.f64 a (fma.f64 d d (.f64 c c))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
(fma.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
(fma.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
(fma.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (fma.f64 c c (.f64 d d)))
(.f64 c (/.f64 a (fma.f64 d d (.f64 c c))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
(fma.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
(fma.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
(fma.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (fma.f64 c c (.f64 d d)))
(.f64 c (/.f64 a (fma.f64 d d (.f64 c c))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
(fma.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
(fma.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
(fma.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)
(.f64 b (/.f64 d (fma.f64 d d (.f64 c c))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
(fma.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
(fma.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
(fma.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b)
(.f64 b (/.f64 d (fma.f64 d d (.f64 c c))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
(fma.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
(fma.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 c a) (fma.f64 c c (.f64 d d))) (.f64 (/.f64 d (fma.f64 c c (.f64 d d))) b))
(fma.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/.f64 1 (pow.f64 d 2))
(/.f64 1 (*.f64 d d))
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(pow.f64 (hypot.f64 c d) -2)
(.f64 (/.f64 1 (cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))) (cbrt.f64 (pow.f64 (+.f64 (.f64 c c) (*.f64 d d)) -2)))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 c c (.f64 d d)))) (cbrt.f64 (pow.f64 (fma.f64 c c (*.f64 d d)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 d d (.f64 c c)) -2)) (cbrt.f64 (fma.f64 d d (.f64 c c))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 c c) (.f64 d d)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 c c (.f64 d d)))) (cbrt.f64 (pow.f64 (fma.f64 c c (*.f64 d d)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 d d (.f64 c c)) -2)) (cbrt.f64 (fma.f64 d d (.f64 c c))))
(.f64 -1 (/.f64 -1 (+.f64 (.f64 c c) (*.f64 d d))))
(/.f64 1 (fma.f64 c c (*.f64 d d)))
(/.f64 1 (fma.f64 d d (*.f64 c c)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (.f64 c c) (.f64 d d)) 2))) (/.f64 1 (cbrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 c c (.f64 d d)))) (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 c c (*.f64 d d)) 2))))
(/.f64 (/.f64 1 (cbrt.f64 (fma.f64 d d (.f64 c c)))) (cbrt.f64 (pow.f64 (fma.f64 d d (.f64 c c)) 2)))
(.f64 (/.f64 1 (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (fma.f64 c c (neg.f64 (.f64 d d))))
(.f64 (fma.f64 c c (.f64 d (neg.f64 d))) (/.f64 1 (-.f64 (pow.f64 c 4) (pow.f64 d 4))))
(/.f64 (-.f64 (.f64 c c) (.f64 d d)) (-.f64 (pow.f64 c 4) (pow.f64 d 4)))
(.f64 (/.f64 1 (+.f64 (pow.f64 c 6) (pow.f64 d 6))) (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))))
(.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 d c) 2))) (/.f64 1 (+.f64 (pow.f64 d 6) (pow.f64 c 6))))
(/.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 d c) 2))) (+.f64 (pow.f64 d 6) (pow.f64 c 6)))
(.f64 (/.f64 -1 (+.f64 (.f64 c c) (*.f64 d d))) -1)
(/.f64 1 (fma.f64 c c (*.f64 d d)))
(/.f64 1 (fma.f64 d d (*.f64 c c)))
(*.f64 (pow.f64 (hypot.f64 c d) -1) (pow.f64 (hypot.f64 c d) -1))
(pow.f64 (hypot.f64 c d) -2)
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 c c) (.f64 d d)) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 (.f64 c c) (*.f64 d d))) -1))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 c c (.f64 d d)))) (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 c c (*.f64 d d)) 2))))
(/.f64 (/.f64 1 (cbrt.f64 (fma.f64 d d (.f64 c c)))) (cbrt.f64 (pow.f64 (fma.f64 d d (.f64 c c)) 2)))
(.f64 (/.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))) (-.f64 (.f64 (pow.f64 c 6) (pow.f64 c 6)) (.f64 (pow.f64 d 6) (pow.f64 d 6)))) (-.f64 (pow.f64 c 6) (pow.f64 d 6)))
(.f64 (/.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 d c) 2))) (-.f64 (pow.f64 c 12) (pow.f64 d 12))) (-.f64 (pow.f64 c 6) (pow.f64 d 6)))
(.f64 (/.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 d c) 2))) (-.f64 (pow.f64 c 12) (pow.f64 d 12))) (-.f64 (pow.f64 c 6) (pow.f64 d 6)))
(.f64 (/.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))) (+.f64 (pow.f64 (pow.f64 c 6) 3) (pow.f64 (pow.f64 d 6) 3))) (+.f64 (.f64 (pow.f64 c 6) (pow.f64 c 6)) (-.f64 (.f64 (pow.f64 d 6) (pow.f64 d 6)) (*.f64 (pow.f64 c 6) (pow.f64 d 6)))))
(.f64 (/.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 d c) 2))) (+.f64 (pow.f64 (pow.f64 c 6) 3) (pow.f64 (pow.f64 d 6) 3))) (+.f64 (pow.f64 c 12) (-.f64 (pow.f64 d 12) (*.f64 (pow.f64 d 6) (pow.f64 c 6)))))
(.f64 (/.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 d c) 2))) (+.f64 (pow.f64 (pow.f64 c 6) 3) (pow.f64 (pow.f64 d 6) 3))) (fma.f64 (pow.f64 d 6) (-.f64 (pow.f64 d 6) (pow.f64 c 6)) (pow.f64 c 12)))
(.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)))) (neg.f64 (fma.f64 c c (neg.f64 (.f64 d d)))))
(.f64 (fma.f64 c c (.f64 d (neg.f64 d))) (/.f64 1 (-.f64 (pow.f64 c 4) (pow.f64 d 4))))
(/.f64 (-.f64 (.f64 c c) (.f64 d d)) (-.f64 (pow.f64 c 4) (pow.f64 d 4)))
(.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)))) (neg.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 d c) 2))) (/.f64 1 (+.f64 (pow.f64 d 6) (pow.f64 c 6))))
(/.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 d c) 2))) (+.f64 (pow.f64 d 6) (pow.f64 c 6)))
(.f64 (/.f64 1 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (-.f64 (.f64 d d) (*.f64 c c)))
(/.f64 (-.f64 (.f64 d d) (.f64 c c)) (-.f64 (pow.f64 d 4) (pow.f64 c 4)))
(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)))) (sqrt.f64 (fma.f64 c c (neg.f64 (.f64 d d)))))
(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)))) (sqrt.f64 (fma.f64 c c (.f64 d (neg.f64 d)))))
(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)))) (sqrt.f64 (-.f64 (.f64 c c) (*.f64 d d))))
(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)))) (sqrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))) (sqrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 d c) 2)))))
(.f64 (/.f64 1 (.f64 (hypot.f64 c d) (hypot.f64 (pow.f64 d 3) (pow.f64 c 3)))) (sqrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 d c) 2)))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)))) (fma.f64 c c (neg.f64 (.f64 d d))))
(.f64 (fma.f64 c c (.f64 d (neg.f64 d))) (/.f64 1 (-.f64 (pow.f64 c 4) (pow.f64 d 4))))
(/.f64 (-.f64 (.f64 c c) (.f64 d d)) (-.f64 (pow.f64 c 4) (pow.f64 d 4)))
(.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)))) (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))))
(.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 d c) 2))) (/.f64 1 (+.f64 (pow.f64 d 6) (pow.f64 c 6))))
(/.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 d c) 2))) (+.f64 (pow.f64 d 6) (pow.f64 c 6)))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (.f64 c c) (.f64 d d)) 2))) (cbrt.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)))) (cbrt.f64 (fma.f64 c c (neg.f64 (.f64 d d)))))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (cbrt.f64 (pow.f64 (fma.f64 c c (.f64 d d)) 2)))) (cbrt.f64 (fma.f64 c c (.f64 d (neg.f64 d)))))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (pow.f64 (fma.f64 d d (.f64 c c)) 2)) (cbrt.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4))))) (cbrt.f64 (-.f64 (.f64 c c) (*.f64 d d))))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (.f64 c c) (.f64 d d)) 2))) (cbrt.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)))) (cbrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (cbrt.f64 (pow.f64 (fma.f64 c c (.f64 d d)) 2)))) (cbrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 d c) 2)))))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (pow.f64 (fma.f64 d d (.f64 c c)) 2)) (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))))) (cbrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 d c) 2)))))
(.f64 (/.f64 (fma.f64 c c (neg.f64 (.f64 d d))) (-.f64 (.f64 (pow.f64 c 4) (pow.f64 c 4)) (.f64 (pow.f64 d 4) (pow.f64 d 4)))) (+.f64 (pow.f64 c 4) (pow.f64 d 4)))
(.f64 (/.f64 (fma.f64 c c (.f64 d (neg.f64 d))) (-.f64 (pow.f64 c 8) (pow.f64 d 8))) (+.f64 (pow.f64 d 4) (pow.f64 c 4)))
(.f64 (/.f64 (-.f64 (.f64 c c) (*.f64 d d)) (-.f64 (pow.f64 c 8) (pow.f64 d 8))) (+.f64 (pow.f64 d 4) (pow.f64 c 4)))
(.f64 (/.f64 (fma.f64 c c (neg.f64 (.f64 d d))) (-.f64 (pow.f64 (pow.f64 c 4) 3) (pow.f64 (pow.f64 d 4) 3))) (+.f64 (.f64 (pow.f64 c 4) (pow.f64 c 4)) (+.f64 (.f64 (pow.f64 d 4) (pow.f64 d 4)) (*.f64 (pow.f64 c 4) (pow.f64 d 4)))))
(.f64 (/.f64 (fma.f64 c c (.f64 d (neg.f64 d))) (-.f64 (pow.f64 (pow.f64 c 4) 3) (pow.f64 (pow.f64 d 4) 3))) (+.f64 (pow.f64 c 8) (+.f64 (pow.f64 d 8) (*.f64 (pow.f64 d 4) (pow.f64 c 4)))))
(.f64 (/.f64 (-.f64 (.f64 c c) (*.f64 d d)) (-.f64 (pow.f64 c 12) (pow.f64 d 12))) (fma.f64 (pow.f64 d 4) (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 c 8)))
(pow.f64 (+.f64 (.f64 c c) (.f64 d d)) -1)
(/.f64 1 (fma.f64 c c (*.f64 d d)))
(/.f64 1 (fma.f64 d d (*.f64 c c)))
(pow.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d))) 1)
(/.f64 1 (fma.f64 c c (*.f64 d d)))
(/.f64 1 (fma.f64 d d (*.f64 c c)))
(pow.f64 (/.f64 1 (hypot.f64 c d)) 2)
(pow.f64 (hypot.f64 c d) -2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (.f64 c c) (.f64 d d)))) 3)
(/.f64 1 (fma.f64 c c (*.f64 d d)))
(/.f64 1 (fma.f64 d d (*.f64 c c)))
(pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 c c) (.f64 d d)) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 c c (*.f64 d d)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 d d (*.f64 c c)) 3)))
(sqrt.f64 (pow.f64 (+.f64 (.f64 c c) (.f64 d d)) -2))
(sqrt.f64 (pow.f64 (fma.f64 c c (*.f64 d d)) -2))
(sqrt.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))))
(/.f64 1 (fma.f64 c c (*.f64 d d)))
(/.f64 1 (fma.f64 d d (*.f64 c c)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d))))))
(/.f64 1 (fma.f64 c c (*.f64 d d)))
(/.f64 1 (fma.f64 d d (*.f64 c c)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 c c) (.f64 d d)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 c c (*.f64 d d)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 d d (*.f64 c c)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))))
(/.f64 1 (fma.f64 c c (*.f64 d d)))
(/.f64 1 (fma.f64 d d (*.f64 c c)))
(exp.f64 (neg.f64 (*.f64 2 (log.f64 (hypot.f64 c d)))))
(exp.f64 (*.f64 -2 (log.f64 (hypot.f64 c d))))
(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (hypot.f64 c d))) -1))
(exp.f64 (*.f64 -2 (log.f64 (hypot.f64 c d))))
(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
(exp.f64 (.f64 (neg.f64 (.f64 2 (log.f64 (hypot.f64 c d)))) 1))
(exp.f64 (*.f64 -2 (log.f64 (hypot.f64 c d))))
(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))))
(/.f64 1 (fma.f64 c c (*.f64 d d)))
(/.f64 1 (fma.f64 d d (*.f64 c c)))

eval673.0ms (4.7%)

Compiler: Compiled 53765 to 16656 computations (69% saved)

prune627.0ms (4.4%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	1901	19	1920
Fresh	6	2	8
Picked	1	0	1
Done	4	1	5
Total	1912	22	1934

Error

0.1b

Counts

1934 → 22

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.6b	(/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
	53.9b	(/.f64 (+.f64 d (/.f64 (.f64 d b) (.f64 c (/.f64 a d)))) (.f64 d (/.f64 d (.f64 c (/.f64 a d)))))
	37.6b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
▶	37.5b	(/.f64 b d)
✓	35.7b	(/.f64 a c)
	17.3b	(/.f64 -1 (/.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d))) (/.f64 -1 (hypot.f64 c d))))
▶	32.2b	(+.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))
	34.6b	(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
▶	32.8b	(+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))
	32.4b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
▶	32.2b	(+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))
	32.4b	(+.f64 (/.f64 a c) (/.f64 b (*.f64 (/.f64 c d) c)))
	30.2b	(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
	30.4b	(+.f64 (/.f64 a c) (.f64 (/.f64 1 c) (.f64 b (/.f64 d c))))
	36.3b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
	33.7b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 d b) (hypot.f64 c d)))
	33.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 c a) (hypot.f64 c d)))
	44.5b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (.f64 (/.f64 c d) a)))
	42.1b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))
	42.8b	(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))))
	43.4b	(*.f64 (/.f64 1 (hypot.f64 c d)) b)
	42.7b	(.f64 (/.f64 1 (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d)))

Compiler

Compiled 697 to 427 computations (38.7% saved)

localize51.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
	0.3b	(+.f64 (.f64 a c) (.f64 b d))
	15.6b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 50 to 10 computations (80% saved)

series2.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
0.0ms	d	@	inf	(/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
0.0ms	c	@	-inf	(/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
0.0ms	d	@	-inf	(/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
0.0ms	a	@	-inf	(/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1730×	`associate-/l*`
768×	`associate-/l/`
724×	`distribute-rgt-in`
716×	`associate-/r/`
686×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	261	33
2	3678	33

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

Inputs
(/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 1 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (hypot.f64 c d)) (/.f64 1 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (hypot.f64 c d))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (hypot.f64 c d))) 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simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1380×	`associate-/r*`
776×	`*-commutative`
684×	`fma-def`
678×	`distribute-lft-in`
646×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	4666
1	615	4422
2	2489	4238

Stop Event

1×	node limit

Counts

102 → 105

Calls

Call 1

Inputs
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)))) 1)
(.f64 (+.f64 (.f64 a c) (.f64 b d)) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 1 (hypot.f64 c d))))
(.f64 (+.f64 (.f64 a c) (*.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
(.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)) (/.f64 1 (hypot.f64 c d)))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) 1)
(.f64 1 (/.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)))
(.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) (/.f64 1 (hypot.f64 c d))))
(.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) (/.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))) (hypot.f64 c d)))
(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (hypot.f64 c d)) (/.f64 (sqrt.f64 (+.f64 (.f64 a c) (*.f64 b d))) (hypot.f64 c d)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) 2) (.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) (/.f64 1 (hypot.f64 c d))))
(.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)))
(.f64 (neg.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))) (/.f64 1 (neg.f64 (hypot.f64 c d))))
(.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (sqrt.f64 (hypot.f64 c d))) (/.f64 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))))
(.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (/.f64 1 (hypot.f64 c d)) (cbrt.f64 (hypot.f64 c d))))
(.f64 (/.f64 1 (sqrt.f64 (hypot.f64 c d))) (/.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (.f64 (cbrt.f64 (hypot.f64 c d)) (hypot.f64 c d))))
(.f64 (/.f64 1 (neg.f64 (hypot.f64 c d))) (neg.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2) (hypot.f64 c d)) (/.f64 (cbrt.f64 (+.f64 (.f64 a c) (*.f64 b d))) (hypot.f64 c d)))
(.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)) (+.f64 (.f64 a c) (*.f64 b d)))
(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (sqrt.f64 (hypot.f64 c d))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) (hypot.f64 c d)) (sqrt.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))) (cbrt.f64 (hypot.f64 c d))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))) (hypot.f64 c d)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) 2) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) 2) (hypot.f64 c d)) (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))))
(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) 1) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)))
(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (cbrt.f64 (hypot.f64 c d))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (pow.f64 (hypot.f64 c d) 2)) (sqrt.f64 (+.f64 (.f64 a c) (*.f64 b d))))
(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))))) (sqrt.f64 (+.f64 (.f64 a c) (*.f64 b d))))
(.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (-.f64 (.f64 (.f64 c c) (.f64 c c)) (.f64 (.f64 d d) (.f64 d d)))) (-.f64 (.f64 c c) (*.f64 d d)))
(.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (pow.f64 (.f64 c c) 3) (pow.f64 (.f64 d d) 3))) (+.f64 (.f64 (.f64 c c) (.f64 c c)) (-.f64 (.f64 (.f64 d d) (.f64 d d)) (.f64 (.f64 c c) (.f64 d d)))))
(.f64 (/.f64 1 (/.f64 (hypot.f64 c d) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) 2))) (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2) (pow.f64 (hypot.f64 c d) 2)) (cbrt.f64 (+.f64 (.f64 a c) (*.f64 b d))))
(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (hypot.f64 c d))) (neg.f64 (+.f64 (.f64 a c) (*.f64 b d))))
(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) 1)) (+.f64 (.f64 a c) (*.f64 b d)))
(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2))) (cbrt.f64 (+.f64 (.f64 a c) (*.f64 b d))))
(pow.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) 1)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (hypot.f64 c d)) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (+.f64 (.f64 a c) (.f64 b d))) -1)
(neg.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 (neg.f64 (hypot.f64 c d)) (hypot.f64 c d))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))))

Outputs
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(.f64 b (/.f64 d (fma.f64 d d (.f64 c c))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b)) (/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d))))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (/.f64 (.f64 c a) (fma.f64 d d (.f64 c c))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b)) (/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d))))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (/.f64 (.f64 c a) (fma.f64 d d (.f64 c c))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b)) (/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d))))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (/.f64 (.f64 c a) (fma.f64 d d (.f64 c c))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (.f64 c a) (fma.f64 d d (.f64 c c)))
(.f64 a (/.f64 c (fma.f64 d d (.f64 c c))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b)) (/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d))))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (/.f64 (.f64 c a) (fma.f64 d d (.f64 c c))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b)) (/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d))))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (/.f64 (.f64 c a) (fma.f64 d d (.f64 c c))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b)) (/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d))))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (/.f64 (.f64 c a) (fma.f64 d d (.f64 c c))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (.f64 c a) (fma.f64 d d (.f64 c c)))
(.f64 a (/.f64 c (fma.f64 d d (.f64 c c))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b)) (/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d))))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (/.f64 (.f64 c a) (fma.f64 d d (.f64 c c))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b)) (/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d))))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (/.f64 (.f64 c a) (fma.f64 d d (.f64 c c))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b)) (/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d))))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (/.f64 (.f64 c a) (fma.f64 d d (.f64 c c))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a))))
(-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) b))
(-.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)) (.f64 b (/.f64 (.f64 c c) (pow.f64 d 3))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b))
(-.f64 (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)) (fma.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b (.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 4)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 d (/.f64 (*.f64 c c) b)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (/.f64 d (/.f64 (.f64 c c) b))))
(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(-.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)) (.f64 (.f64 d d) (/.f64 a (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 d (/.f64 (.f64 c c) b)))))
(+.f64 (/.f64 a c) (-.f64 (-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b)) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))))
(-.f64 (.f64 (/.f64 b c) (-.f64 (/.f64 d c) (/.f64 (pow.f64 d 3) (pow.f64 c 3)))) (-.f64 (.f64 (*.f64 d d) (/.f64 a (pow.f64 c 3))) (/.f64 a c)))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 d (/.f64 (*.f64 c c) b)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (/.f64 d (/.f64 (.f64 c c) b))))
(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 b c) (/.f64 d c)) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(-.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)) (.f64 (.f64 d d) (/.f64 a (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
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(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)) (+.f64 (.f64 a c) (*.f64 b d)))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (sqrt.f64 (hypot.f64 c d))))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) (hypot.f64 c d)) (sqrt.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))) (cbrt.f64 (hypot.f64 c d))))
(.f64 (/.f64 (fma.f64 a c (.f64 d b)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 1 (*.f64 (hypot.f64 c d) (cbrt.f64 (hypot.f64 c d)))))
(/.f64 (/.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (.f64 (hypot.f64 c d) (cbrt.f64 (hypot.f64 c d))))
(/.f64 (fma.f64 d b (.f64 c a)) (.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (*.f64 (hypot.f64 c d) (cbrt.f64 (hypot.f64 c d)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))) (hypot.f64 c d)))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) 2) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d))))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 a c (.f64 d b)) (pow.f64 (hypot.f64 c d) 2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d))) 2) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 d b (.f64 c a)) (hypot.f64 c d))) 2) (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (cbrt.f64 (/.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (hypot.f64 c d) 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) 2) (hypot.f64 c d)) (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) 1) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (cbrt.f64 (hypot.f64 c d))))
(.f64 (/.f64 (fma.f64 a c (.f64 d b)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 1 (*.f64 (hypot.f64 c d) (cbrt.f64 (hypot.f64 c d)))))
(/.f64 (/.f64 (fma.f64 d b (.f64 c a)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (.f64 (hypot.f64 c d) (cbrt.f64 (hypot.f64 c d))))
(/.f64 (fma.f64 d b (.f64 c a)) (.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (*.f64 (hypot.f64 c d) (cbrt.f64 (hypot.f64 c d)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (pow.f64 (hypot.f64 c d) 2)) (sqrt.f64 (+.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))))) (sqrt.f64 (+.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (-.f64 (.f64 (.f64 c c) (.f64 c c)) (.f64 (.f64 d d) (.f64 d d)))) (-.f64 (.f64 c c) (*.f64 d d)))
(.f64 (/.f64 (fma.f64 a c (.f64 d b)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (-.f64 (.f64 c c) (.f64 d d)))
(.f64 (/.f64 (fma.f64 d b (.f64 c a)) (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (-.f64 (.f64 c c) (.f64 d d)))
(.f64 1 (/.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d d (*.f64 c c))))
(.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (pow.f64 (.f64 c c) 3) (pow.f64 (.f64 d d) 3))) (+.f64 (.f64 (.f64 c c) (.f64 c c)) (-.f64 (.f64 (.f64 d d) (.f64 d d)) (.f64 (.f64 c c) (.f64 d d)))))
(.f64 (/.f64 (fma.f64 a c (.f64 d b)) (+.f64 (pow.f64 (.f64 c c) 3) (pow.f64 (.f64 d d) 3))) (+.f64 (pow.f64 c 4) (.f64 (.f64 d d) (-.f64 (.f64 d d) (.f64 c c)))))
(.f64 (/.f64 (fma.f64 d b (.f64 c a)) (+.f64 (pow.f64 c 6) (pow.f64 d 6))) (fma.f64 (.f64 d d) (-.f64 (.f64 d d) (*.f64 c c)) (pow.f64 c 4)))
(/.f64 (.f64 (fma.f64 d b (.f64 c a)) (fma.f64 d (-.f64 (pow.f64 d 3) (.f64 c (.f64 d c))) (pow.f64 c 4))) (+.f64 (pow.f64 c 6) (pow.f64 d 6)))
(.f64 (/.f64 1 (/.f64 (hypot.f64 c d) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d))) 2))) (cbrt.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d))))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2) (pow.f64 (hypot.f64 c d) 2)) (cbrt.f64 (+.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (hypot.f64 c d))) (neg.f64 (+.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) 1)) (+.f64 (.f64 a c) (*.f64 b d)))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2))) (cbrt.f64 (+.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(pow.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) 1)
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 a c) (.f64 b d))) (hypot.f64 c d)) 2)
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))) 3)
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) 3) 1/3)
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (+.f64 (.f64 a c) (.f64 b d))) -1)
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(neg.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 (neg.f64 (hypot.f64 c d)) (hypot.f64 c d))))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) 2))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)))))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) 3))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))) 1))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (hypot.f64 c d) 2))

localize4.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

localize38.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 d a) d)
✓	2.2b	(+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))
✓	4.8b	(/.f64 c (*.f64 (/.f64 d a) d))

Compiler

Compiled 37 to 9 computations (75.7% saved)

series2.0ms (0%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	c	@	0	(/.f64 c (*.f64 (/.f64 d a) d))
0.0ms	a	@	inf	(/.f64 c (*.f64 (/.f64 d a) d))
0.0ms	a	@	inf	(+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))
0.0ms	a	@	-inf	(/.f64 c (*.f64 (/.f64 d a) d))
0.0ms	d	@	inf	(/.f64 c (*.f64 (/.f64 d a) d))

rewrite103.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1160×	`associate-/r/`
712×	`distribute-lft-neg-in`
672×	`associate-/l/`
586×	`distribute-rgt-in`
554×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	252	59
2	4055	59

Stop Event

1×	node limit

Counts

3 → 202

Calls

Call 1

Inputs
(/.f64 c (*.f64 (/.f64 d a) d))
(+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))
(*.f64 (/.f64 d a) d)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 c (*.f64 (/.f64 d a) d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (/.f64 a (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (*.f64 (/.f64 d a) d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 c (*.f64 (/.f64 d a) d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (/.f64 d (sqrt.f64 a))) (/.f64 (sqrt.f64 c) (/.f64 d (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) (/.f64 a (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 c (*.f64 (/.f64 d a) d))) (pow.f64 (cbrt.f64 (/.f64 c (*.f64 (/.f64 d a) d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 c (*.f64 (/.f64 d a) d))) 2) (cbrt.f64 (/.f64 c (*.f64 (/.f64 d a) d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) (/.f64 a (*.f64 d 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 d a) d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 d (/.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 d a) d) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 d d) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 d (neg.f64 d)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 d d)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 d d) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 d d) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 d d) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 d a) d) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 d (sqrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 d a) d)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 d a) d) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (*.f64 d d)) a))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 d a) d) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 d) (/.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 d a) d))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 d a) d) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 d 3) (pow.f64 (/.f64 d a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 d a) 3) (pow.f64 d 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 d a) d)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 d a) d)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 d a) d)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 d a) d)))))))

simplify143.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1016×	`associate-r`
854×	`*-commutative`
836×	`associate-l`
796×	`associate-*r/`
794×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	563	11094
1	1803	9990

Stop Event

1×	node limit

Counts

310 → 285

Calls

Call 1

Inputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
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(/.f64 1 (/.f64 (/.f64 (-.f64 b (.f64 c (/.f64 a d))) d) (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 c (.f64 (/.f64 d a) d)) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 c (.f64 (/.f64 d a) d)) 2) (.f64 (/.f64 b d) (/.f64 (-.f64 b (.f64 c (/.f64 a d))) d))) (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 c (.f64 (/.f64 d a) d)) 3))))
(/.f64 1 (/.f64 (/.f64 (pow.f64 d 3) a) (.f64 d (+.f64 (.f64 b (/.f64 d a)) c))))
(/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 c (.f64 (/.f64 d a) d)) 2)) (/.f64 (-.f64 b (.f64 c (/.f64 a d))) d))
(/.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 c (.f64 (/.f64 d a) d)) 3)) (+.f64 (pow.f64 (/.f64 c (.f64 (/.f64 d a) d)) 2) (.f64 (/.f64 b d) (/.f64 (-.f64 b (.f64 c (/.f64 a d))) d))))
(/.f64 (.f64 d (+.f64 (.f64 b (/.f64 d a)) c)) (/.f64 (pow.f64 d 3) a))
(/.f64 (/.f64 (.f64 d (+.f64 (.f64 b (/.f64 d a)) c)) d) (*.f64 (/.f64 d a) d))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 b d) 3)) (.f64 (pow.f64 (/.f64 c (.f64 (/.f64 d a) d)) 3) (pow.f64 (/.f64 c (.f64 (/.f64 d a) d)) 3))) (.f64 (+.f64 (pow.f64 (/.f64 c (.f64 (/.f64 d a) d)) 2) (.f64 (/.f64 b d) (/.f64 (-.f64 b (.f64 c (/.f64 a d))) d))) (-.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 c (*.f64 (/.f64 d a) d)) 3))))
(/.f64 (-.f64 (pow.f64 (/.f64 c (.f64 (/.f64 d a) d)) 2) (pow.f64 (/.f64 b d) 2)) (-.f64 (/.f64 c (.f64 (/.f64 d a) d)) (/.f64 b d)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (/.f64 d a) d) b) (.f64 (.f64 (/.f64 d a) d) b)) (.f64 (.f64 c d) (.f64 c d))) (.f64 (/.f64 (pow.f64 d 3) a) (.f64 d (-.f64 (*.f64 b (/.f64 d a)) c))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 b d) 2)) (.f64 (pow.f64 (/.f64 c (.f64 (/.f64 d a) d)) 2) (pow.f64 (/.f64 c (.f64 (/.f64 d a) d)) 2))) (.f64 (/.f64 (-.f64 b (.f64 c (/.f64 a d))) d) (+.f64 (pow.f64 (/.f64 c (*.f64 (/.f64 d a) d)) 2) (pow.f64 (/.f64 b d) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b d) 3) 3) (pow.f64 (pow.f64 (/.f64 c (.f64 (/.f64 d a) d)) 3) 3)) (.f64 (+.f64 (pow.f64 (/.f64 c (.f64 (/.f64 d a) d)) 2) (.f64 (/.f64 b d) (/.f64 (-.f64 b (.f64 c (/.f64 a d))) d))) (+.f64 (.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 b d) 3)) (.f64 (pow.f64 (/.f64 c (.f64 (/.f64 d a) d)) 3) (-.f64 (pow.f64 (/.f64 c (*.f64 (/.f64 d a) d)) 3) (pow.f64 (/.f64 b d) 3))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 d a) d) b) 3) (pow.f64 (.f64 c d) 3)) (.f64 (/.f64 (pow.f64 d 3) a) (+.f64 (.f64 (.f64 (.f64 (/.f64 d a) d) b) (.f64 (.f64 (/.f64 d a) d) b)) (.f64 (.f64 c d) (-.f64 (.f64 c d) (.f64 (.f64 (/.f64 d a) d) b))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 b d) 2) 3) (pow.f64 (pow.f64 (/.f64 c (.f64 (/.f64 d a) d)) 2) 3)) (.f64 (/.f64 (-.f64 b (.f64 c (/.f64 a d))) d) (+.f64 (.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 b d) 2)) (.f64 (pow.f64 (/.f64 c (.f64 (/.f64 d a) d)) 2) (+.f64 (pow.f64 (/.f64 c (*.f64 (/.f64 d a) d)) 2) (pow.f64 (/.f64 b d) 2))))))
(/.f64 (+.f64 (.f64 (/.f64 d a) d) (.f64 c (/.f64 d b))) (.f64 (.f64 (/.f64 d a) d) (/.f64 d b)))
(/.f64 (+.f64 (.f64 c (neg.f64 d)) (.f64 (.f64 (/.f64 d a) d) (neg.f64 b))) (.f64 (*.f64 (/.f64 d a) d) (neg.f64 d)))
(/.f64 (+.f64 d (.f64 (.f64 (/.f64 d a) (/.f64 d c)) b)) (.f64 (.f64 (/.f64 d a) (/.f64 d c)) d))
(/.f64 (+.f64 (/.f64 d b) (.f64 (.f64 (/.f64 d a) (/.f64 d c)) 1)) (.f64 (.f64 (/.f64 d a) (/.f64 d c)) (/.f64 d b)))
(/.f64 (+.f64 (neg.f64 d) (.f64 (.f64 (/.f64 d a) (/.f64 d c)) (neg.f64 b))) (.f64 (.f64 (/.f64 d a) (/.f64 d c)) (neg.f64 d)))
(/.f64 (+.f64 (.f64 (.f64 c (/.f64 a d)) d) (.f64 d b)) (.f64 d d))
(/.f64 (+.f64 d (.f64 (.f64 c (/.f64 a d)) (/.f64 d b))) (*.f64 d (/.f64 d b)))
(/.f64 (+.f64 (.f64 (.f64 c (/.f64 a d)) (neg.f64 d)) (.f64 d (neg.f64 b))) (.f64 d (neg.f64 d)))
(/.f64 (+.f64 (.f64 (neg.f64 c) d) (.f64 (/.f64 (neg.f64 (*.f64 d d)) a) b)) (neg.f64 (/.f64 (pow.f64 d 3) a)))
(/.f64 (+.f64 (/.f64 (neg.f64 (.f64 d d)) a) (.f64 (neg.f64 c) (/.f64 d b))) (.f64 (/.f64 (neg.f64 (.f64 d d)) a) (/.f64 d b)))
(/.f64 (+.f64 (.f64 (neg.f64 c) (neg.f64 d)) (.f64 (/.f64 (neg.f64 (.f64 d d)) a) (neg.f64 b))) (.f64 (/.f64 (neg.f64 (*.f64 d d)) a) (neg.f64 d)))
(/.f64 (+.f64 d (.f64 b (.f64 (/.f64 d a) (/.f64 d c)))) (.f64 d (.f64 (/.f64 d a) (/.f64 d c))))
(/.f64 (+.f64 (.f64 b d) (.f64 d (.f64 c (/.f64 a d)))) (.f64 d d))
(/.f64 (+.f64 (.f64 b (/.f64 (neg.f64 (.f64 d d)) a)) (.f64 d (neg.f64 c))) (.f64 d (/.f64 (neg.f64 (*.f64 d d)) a)))
(/.f64 (+.f64 (.f64 (/.f64 d a) d) (.f64 (/.f64 d b) c)) (.f64 (/.f64 d b) (.f64 (/.f64 d a) d)))
(/.f64 (+.f64 (.f64 (/.f64 d a) (/.f64 d c)) (.f64 (/.f64 d b) 1)) (.f64 (/.f64 d b) (.f64 (/.f64 d a) (/.f64 d c))))
(/.f64 (+.f64 d (.f64 (/.f64 d b) (.f64 c (/.f64 a d)))) (*.f64 (/.f64 d b) d))
(/.f64 (+.f64 (/.f64 (neg.f64 (.f64 d d)) a) (.f64 (/.f64 d b) (neg.f64 c))) (.f64 (/.f64 d b) (/.f64 (neg.f64 (.f64 d d)) a)))
(/.f64 (+.f64 (.f64 (neg.f64 b) (.f64 (/.f64 d a) d)) (*.f64 (neg.f64 d) c)) (neg.f64 (/.f64 (pow.f64 d 3) a)))
(/.f64 (+.f64 (neg.f64 d) (.f64 (neg.f64 b) (.f64 (/.f64 d a) (/.f64 d c)))) (.f64 (neg.f64 d) (.f64 (/.f64 d a) (/.f64 d c))))
(/.f64 (+.f64 (.f64 (neg.f64 b) d) (.f64 (neg.f64 d) (.f64 c (/.f64 a d)))) (neg.f64 (.f64 d d)))
(/.f64 (+.f64 (.f64 (neg.f64 b) (/.f64 (neg.f64 (.f64 d d)) a)) (.f64 (neg.f64 d) (neg.f64 c))) (.f64 (neg.f64 d) (/.f64 (neg.f64 (*.f64 d d)) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 c (.f64 (/.f64 d a) d)) 2))) (neg.f64 (/.f64 (-.f64 b (.f64 c (/.f64 a d))) d)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 c (.f64 (/.f64 d a) d)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 c (.f64 (/.f64 d a) d)) 2) (.f64 (/.f64 b d) (/.f64 (-.f64 b (.f64 c (/.f64 a d))) d)))))
(/.f64 (neg.f64 (.f64 d (+.f64 (.f64 b (/.f64 d a)) c))) (neg.f64 (/.f64 (pow.f64 d 3) a)))
(pow.f64 (+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))))
(exp.f64 (log.f64 (+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 b d) (/.f64 c (.f64 (/.f64 d a) d)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(fma.f64 b (/.f64 1 d) (/.f64 c (*.f64 (/.f64 d a) d)))
(fma.f64 1 (/.f64 c (*.f64 (/.f64 d a) d)) (/.f64 b d))
(fma.f64 1 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))
(fma.f64 (/.f64 (sqrt.f64 c) (/.f64 d (sqrt.f64 a))) (/.f64 (sqrt.f64 c) (/.f64 d (sqrt.f64 a))) (/.f64 b d))
(fma.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)) (/.f64 c (*.f64 (/.f64 d a) d)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 c (.f64 (/.f64 d a) d))) 2) (cbrt.f64 (/.f64 c (.f64 (/.f64 d a) d))) (/.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (cbrt.f64 (/.f64 b d)) (/.f64 c (*.f64 (/.f64 d a) d)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 d a) d))) 1)
(/.f64 d (/.f64 a d))
(/.f64 (*.f64 (/.f64 d a) d) 1)
(/.f64 1 (/.f64 a (*.f64 d d)))
(/.f64 (*.f64 d d) a)
(/.f64 (*.f64 d (neg.f64 d)) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 d d)) (neg.f64 a))
(/.f64 (/.f64 (*.f64 d d) 1) a)
(/.f64 (/.f64 (*.f64 d d) (sqrt.f64 a)) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 d d) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(pow.f64 (*.f64 (/.f64 d a) d) 1)
(pow.f64 (/.f64 d (sqrt.f64 a)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 d a) d)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 d a) d) 3) 1/3)
(neg.f64 (/.f64 (neg.f64 (*.f64 d d)) a))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 d a) d) 2))
(log.f64 (pow.f64 (exp.f64 d) (/.f64 d a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 d a) d))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 d a) d) 3))
(cbrt.f64 (*.f64 (pow.f64 d 3) (pow.f64 (/.f64 d a) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 d a) 3) (pow.f64 d 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 d a) d)))
(exp.f64 (log.f64 (*.f64 (/.f64 d a) d)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d a) d)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 d a) d)))

Outputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 c (.f64 (/.f64 d a) d)) 2))) (neg.f64 (/.f64 (-.f64 b (.f64 c (/.f64 a d))) d)))
(/.f64 (-.f64 (pow.f64 (.f64 c (/.f64 a (.f64 d d))) 2) (pow.f64 (/.f64 b d) 2)) (-.f64 (.f64 c (/.f64 a (.f64 d d))) (/.f64 b d)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 c (/.f64 a (.f64 d d))) 2) (pow.f64 (/.f64 b d) 2)) (neg.f64 (-.f64 b (.f64 c (/.f64 a d))))) d)
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 c (.f64 (/.f64 d a) d)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 c (.f64 (/.f64 d a) d)) 2) (.f64 (/.f64 b d) (/.f64 (-.f64 b (.f64 c (/.f64 a d))) d)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 c (/.f64 a (.f64 d d))) 3) (pow.f64 (/.f64 b d) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 c (/.f64 a (.f64 d d))) 2) (.f64 (/.f64 b d) (/.f64 (-.f64 b (.f64 c (/.f64 a d))) d)))))
(.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 c (/.f64 a (.f64 d d))) 3) (pow.f64 (/.f64 b d) 3)) (fma.f64 (/.f64 b d) (/.f64 (-.f64 b (.f64 c (/.f64 a d))) d) (pow.f64 (.f64 c (/.f64 a (.f64 d d))) 2))))
(/.f64 (neg.f64 (.f64 d (+.f64 (.f64 b (/.f64 d a)) c))) (neg.f64 (/.f64 (pow.f64 d 3) a)))
(.f64 (.f64 d (fma.f64 b (/.f64 d a) c)) (*.f64 a (/.f64 1 (pow.f64 d 3))))
(.f64 (fma.f64 b (/.f64 d a) c) (/.f64 (.f64 a d) (pow.f64 d 3)))
(pow.f64 (+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d))) 1)
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))) 2)
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))) 3)
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(pow.f64 (pow.f64 (+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d))) 3) 1/3)
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d))) 2))
(sqrt.f64 (pow.f64 (fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)) 2))
(fabs.f64 (/.f64 (fma.f64 c (/.f64 a d) b) d))
(log.f64 (exp.f64 (+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d))))))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d))) 3))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(exp.f64 (log.f64 (+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 b d) (/.f64 c (.f64 (/.f64 d a) d)))) 1))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(fma.f64 b (/.f64 1 d) (/.f64 c (*.f64 (/.f64 d a) d)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(fma.f64 1 (/.f64 c (*.f64 (/.f64 d a) d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(fma.f64 1 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(fma.f64 (/.f64 (sqrt.f64 c) (/.f64 d (sqrt.f64 a))) (/.f64 (sqrt.f64 c) (/.f64 d (sqrt.f64 a))) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(fma.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)) (/.f64 c (*.f64 (/.f64 d a) d)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 c (.f64 (/.f64 d a) d))) 2) (cbrt.f64 (/.f64 c (.f64 (/.f64 d a) d))) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (cbrt.f64 (/.f64 b d)) (/.f64 c (*.f64 (/.f64 d a) d)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 d a) d))) 1)
(*.f64 d (/.f64 d a))
(/.f64 d (/.f64 a d))
(*.f64 d (/.f64 d a))
(/.f64 (*.f64 (/.f64 d a) d) 1)
(*.f64 d (/.f64 d a))
(/.f64 1 (/.f64 a (*.f64 d d)))
(*.f64 d (/.f64 d a))
(/.f64 (*.f64 d d) a)
(*.f64 d (/.f64 d a))
(/.f64 (*.f64 d (neg.f64 d)) (neg.f64 a))
(*.f64 d (/.f64 d a))
(/.f64 (neg.f64 (*.f64 d d)) (neg.f64 a))
(*.f64 d (/.f64 d a))
(/.f64 (/.f64 (*.f64 d d) 1) a)
(*.f64 d (/.f64 d a))
(/.f64 (/.f64 (*.f64 d d) (sqrt.f64 a)) (sqrt.f64 a))
(*.f64 d (/.f64 d a))
(/.f64 (/.f64 (*.f64 d d) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(*.f64 d (/.f64 d a))
(pow.f64 (*.f64 (/.f64 d a) d) 1)
(*.f64 d (/.f64 d a))
(pow.f64 (/.f64 d (sqrt.f64 a)) 2)
(*.f64 d (/.f64 d a))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 d a) d)) 3)
(*.f64 d (/.f64 d a))
(pow.f64 (pow.f64 (*.f64 (/.f64 d a) d) 3) 1/3)
(*.f64 d (/.f64 d a))
(neg.f64 (/.f64 (neg.f64 (*.f64 d d)) a))
(*.f64 d (/.f64 d a))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 d a) d) 2))
(sqrt.f64 (pow.f64 (*.f64 d (/.f64 d a)) 2))
(fabs.f64 (*.f64 d (/.f64 d a)))
(log.f64 (pow.f64 (exp.f64 d) (/.f64 d a)))
(*.f64 d (/.f64 d a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 d a) d))))
(*.f64 d (/.f64 d a))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 d a) d) 3))
(*.f64 d (/.f64 d a))
(cbrt.f64 (*.f64 (pow.f64 d 3) (pow.f64 (/.f64 d a) 3)))
(*.f64 d (/.f64 d a))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 d a) 3) (pow.f64 d 3)))
(*.f64 d (/.f64 d a))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 d a) d)))
(*.f64 d (/.f64 d a))
(exp.f64 (log.f64 (*.f64 (/.f64 d a) d)))
(*.f64 d (/.f64 d a))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d a) d)) 1))
(*.f64 d (/.f64 d a))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 d a) d)))
(*.f64 d (/.f64 d a))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.7b	(.f64 (/.f64 1 d) (.f64 c (/.f64 a d)))
✓	2.2b	(+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))
✓	3.0b	(*.f64 c (/.f64 a d))

Compiler

Compiled 45 to 17 computations (62.2% saved)

series5.0ms (0%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
0.0ms	c	@	inf	(*.f64 c (/.f64 a d))
0.0ms	d	@	inf	(*.f64 c (/.f64 a d))
0.0ms	c	@	0	(*.f64 c (/.f64 a d))
0.0ms	a	@	inf	(*.f64 c (/.f64 a d))
0.0ms	d	@	-inf	(*.f64 c (/.f64 a d))

rewrite94.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

706×	`associate-/r/`
594×	`distribute-rgt-in`
580×	`associate-/l/`
574×	`distribute-lft-neg-in`
558×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	63
1	279	59
2	3981	59

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

Inputs
(*.f64 c (/.f64 a d))
(+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))
(.f64 (/.f64 1 d) (.f64 c (/.f64 a d)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c (/.f64 a d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 d a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (/.f64 a d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 d (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 1 (/.f64 d (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c a) d)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) 1) d)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) (sqrt.f64 d)) (sqrt.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (neg.f64 c)) (neg.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (/.f64 a d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (/.f64 a d))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c (/.f64 a d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (/.f64 a d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 c (/.f64 a d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c) (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c (/.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (/.f64 a d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 (/.f64 a d) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 a d) 3) (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c (/.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c (/.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (/.f64 a d))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c (/.f64 a d))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 d) (*.f64 c (/.f64 a d))))) (-.f64 1 (/.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b d))) (-.f64 1 (*.f64 (/.f64 1 d) (*.f64 c (/.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 b d) (*.f64 (/.f64 1 d) (*.f64 c (/.f64 a d)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (pow.f64 (/.f64 b d) 2) (-.f64 b (*.f64 c (/.f64 a d)))) d) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 1 d) (*.f64 c (/.f64 a d))) 2) (-.f64 b (*.f64 c (/.f64 a d)))) d))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b d) (exp.f64 (log1p.f64 (*.f64 (/.f64 1 d) (*.f64 c (/.f64 a d)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (/.f64 1 d) (*.f64 c (/.f64 a d))) (exp.f64 (log1p.f64 (/.f64 b d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 b d) (*.f64 (/.f64 1 d) 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simplify127.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1192×	`distribute-lft-neg-in`
722×	`associate-r`
658×	`associate-l`
618×	`associate-+r+`
562×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	380	8111
1	1152	7455
2	5792	7443

Stop Event

1×	node limit

Counts

259 → 211

Calls

Call 1

Inputs
(/.f64 (*.f64 c a) d)
(/.f64 (*.f64 c a) d)
(/.f64 (*.f64 c a) d)
(/.f64 (*.f64 c a) d)
(/.f64 (*.f64 c a) d)
(/.f64 (*.f64 c a) d)
(/.f64 (*.f64 c a) d)
(/.f64 (*.f64 c a) d)
(/.f64 (*.f64 c a) d)
(/.f64 (*.f64 c a) d)
(/.f64 (*.f64 c a) d)
(/.f64 (*.f64 c a) d)
(/.f64 (*.f64 c a) d)
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(log.f64 (exp.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))))
(exp.f64 (log.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (*.f64 c (/.f64 a d))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))))
(fma.f64 (*.f64 c (/.f64 a d)) (/.f64 1 d) (/.f64 b d))
(fma.f64 b (/.f64 1 d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))
(fma.f64 1 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))
(fma.f64 1 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))) (/.f64 b d))
(fma.f64 (/.f64 1 d) (*.f64 c (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 (sqrt.f64 (.f64 c a)) d) (/.f64 (sqrt.f64 (.f64 c a)) d) (/.f64 b d))
(fma.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d)))) 2) (cbrt.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d)))) (/.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (cbrt.f64 (/.f64 b d)) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))) 1)
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 a (*.f64 (/.f64 d c) d))
(/.f64 (/.f64 a d) (/.f64 d c))
(/.f64 (*.f64 c (/.f64 a d)) d)
(/.f64 1 (.f64 d (/.f64 d (.f64 c a))))
(/.f64 (sqrt.f64 (.f64 c (/.f64 a d))) (/.f64 d (sqrt.f64 (.f64 c (/.f64 a d)))))
(/.f64 (sqrt.f64 a) (*.f64 (/.f64 d c) (/.f64 d (sqrt.f64 a))))
(/.f64 (cbrt.f64 (pow.f64 (.f64 c (/.f64 a d)) 2)) (/.f64 d (cbrt.f64 (.f64 c (/.f64 a d)))))
(/.f64 (cbrt.f64 (.f64 a a)) (.f64 (/.f64 d c) (/.f64 d (cbrt.f64 a))))
(/.f64 (/.f64 c d) (/.f64 d a))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (neg.f64 a) (*.f64 (/.f64 d c) (neg.f64 d)))
(/.f64 -1 (*.f64 (/.f64 d c) (neg.f64 (/.f64 d a))))
(/.f64 (sqrt.f64 (.f64 c a)) (.f64 (/.f64 d (sqrt.f64 (*.f64 c (/.f64 a d)))) (sqrt.f64 d)))
(/.f64 (*.f64 (/.f64 c d) (neg.f64 a)) (neg.f64 d))
(/.f64 (.f64 -1 c) (.f64 (/.f64 d a) (neg.f64 d)))
(/.f64 (/.f64 c (*.f64 (sqrt.f64 d) (/.f64 d a))) (sqrt.f64 d))
(/.f64 (/.f64 (*.f64 c (/.f64 a d)) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d))
(/.f64 (/.f64 a 1) (*.f64 (/.f64 d c) d))
(/.f64 (/.f64 a (sqrt.f64 d)) (*.f64 (/.f64 d c) (sqrt.f64 d)))
(/.f64 (/.f64 a (pow.f64 (cbrt.f64 d) 2)) (*.f64 (/.f64 d c) (cbrt.f64 d)))
(/.f64 (/.f64 (.f64 c a) 1) (.f64 d d))
(/.f64 (/.f64 (.f64 c a) (sqrt.f64 d)) (.f64 d (sqrt.f64 d)))
(/.f64 (/.f64 (.f64 c a) (pow.f64 (cbrt.f64 d) 2)) (.f64 d (cbrt.f64 d)))
(/.f64 (*.f64 c (neg.f64 (/.f64 a d))) (neg.f64 d))
(/.f64 (.f64 (.f64 c a) 1) (*.f64 d d))
(/.f64 (.f64 (.f64 c a) -1) (*.f64 d (neg.f64 d)))
(/.f64 (.f64 a (neg.f64 c)) (.f64 (neg.f64 d) d))
(/.f64 (.f64 a (neg.f64 c)) (.f64 d (neg.f64 d)))
(pow.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) d) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d)))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))) 2))
(log.f64 (exp.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d)))))
(exp.f64 (log.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 1 d) (*.f64 c (/.f64 a d)))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d)))))

Outputs
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 c d) (/.f64 a d))
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(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(exp.f64 (log.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (*.f64 c (/.f64 a d))))) 1))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 (*.f64 c (/.f64 a d)) (/.f64 1 d) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 b (/.f64 1 d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 1 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 1 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 (/.f64 1 d) (*.f64 c (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 (/.f64 (sqrt.f64 (.f64 c a)) d) (/.f64 (sqrt.f64 (.f64 c a)) d) (/.f64 b d))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) d) 2) (/.f64 b d))
(+.f64 (/.f64 b d) (pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) d) 2))
(fma.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d)))) 2) (cbrt.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d)))) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (cbrt.f64 (/.f64 b d)) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))) 1)
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 c (*.f64 d (/.f64 d a)))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 a (*.f64 (/.f64 d c) d))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (/.f64 a d) (/.f64 d c))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (*.f64 c (/.f64 a d)) d)
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 1 (.f64 d (/.f64 d (.f64 c a))))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (sqrt.f64 (.f64 c (/.f64 a d))) (/.f64 d (sqrt.f64 (.f64 c (/.f64 a d)))))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (sqrt.f64 a) (*.f64 (/.f64 d c) (/.f64 d (sqrt.f64 a))))
(/.f64 (sqrt.f64 a) (/.f64 (*.f64 d (/.f64 d c)) (sqrt.f64 a)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 a) (/.f64 d c)) d) (sqrt.f64 a))
(/.f64 (cbrt.f64 (pow.f64 (.f64 c (/.f64 a d)) 2)) (/.f64 d (cbrt.f64 (.f64 c (/.f64 a d)))))
(.f64 (cbrt.f64 (.f64 c (/.f64 a d))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 c (/.f64 a d)) 2)) d))
(/.f64 (cbrt.f64 (.f64 a a)) (.f64 (/.f64 d c) (/.f64 d (cbrt.f64 a))))
(/.f64 (cbrt.f64 (.f64 a a)) (/.f64 (.f64 d (/.f64 d c)) (cbrt.f64 a)))
(.f64 (/.f64 (cbrt.f64 (.f64 a a)) (*.f64 d (/.f64 d c))) (cbrt.f64 a))
(/.f64 (/.f64 c d) (/.f64 d a))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (.f64 c a) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (neg.f64 a) (*.f64 (/.f64 d c) (neg.f64 d)))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 -1 (*.f64 (/.f64 d c) (neg.f64 (/.f64 d a))))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (sqrt.f64 (.f64 c a)) (.f64 (/.f64 d (sqrt.f64 (*.f64 c (/.f64 a d)))) (sqrt.f64 d)))
(/.f64 (sqrt.f64 (.f64 c a)) (/.f64 (.f64 d (sqrt.f64 d)) (sqrt.f64 (*.f64 c (/.f64 a d)))))
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) (.f64 d (sqrt.f64 d))) (sqrt.f64 (.f64 c (/.f64 a d))))
(/.f64 (*.f64 (/.f64 c d) (neg.f64 a)) (neg.f64 d))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (.f64 -1 c) (.f64 (/.f64 d a) (neg.f64 d)))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (/.f64 c (*.f64 (sqrt.f64 d) (/.f64 d a))) (sqrt.f64 d))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (/.f64 (*.f64 c (/.f64 a d)) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (/.f64 a 1) (*.f64 (/.f64 d c) d))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (/.f64 a (sqrt.f64 d)) (*.f64 (/.f64 d c) (sqrt.f64 d)))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (/.f64 a (pow.f64 (cbrt.f64 d) 2)) (*.f64 (/.f64 d c) (cbrt.f64 d)))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (/.f64 (.f64 c a) 1) (.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (/.f64 (.f64 c a) (sqrt.f64 d)) (.f64 d (sqrt.f64 d)))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (/.f64 (.f64 c a) (pow.f64 (cbrt.f64 d) 2)) (.f64 d (cbrt.f64 d)))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (*.f64 c (neg.f64 (/.f64 a d))) (neg.f64 d))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (.f64 (.f64 c a) 1) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (.f64 (.f64 c a) -1) (*.f64 d (neg.f64 d)))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (.f64 a (neg.f64 c)) (.f64 (neg.f64 d) d))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 (.f64 a (neg.f64 c)) (.f64 d (neg.f64 d)))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(pow.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))) 1)
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) d) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d)))) 3)
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(pow.f64 (pow.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))) 3) 1/3)
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(sqrt.f64 (pow.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 c d) (/.f64 a d)) 2))
(fabs.f64 (*.f64 c (/.f64 (/.f64 a d) d)))
(log.f64 (exp.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d)))))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(cbrt.f64 (pow.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))) 3))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(expm1.f64 (log1p.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d)))))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(exp.f64 (log.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d)))))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 1 d) (*.f64 c (/.f64 a d)))) 1))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))
(log1p.f64 (expm1.f64 (.f64 (/.f64 1 d) (.f64 c (/.f64 a d)))))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 c (/.f64 (/.f64 a d) d))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)
✓	0.6b	(/.f64 d (*.f64 c (/.f64 a d)))
✓	2.2b	(+.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))
	3.0b	(*.f64 c (/.f64 a d))

Compiler

Compiled 49 to 14 computations (71.4% saved)

series40.0ms (0.3%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
33.0ms	d	@	0	(+.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))
1.0ms	b	@	0	(+.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))
1.0ms	a	@	-inf	(+.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))
0.0ms	c	@	-inf	(+.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))
0.0ms	c	@	0	(+.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))

rewrite244.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1206×	`associate-/r/`
660×	`associate-/l/`
652×	`distribute-lft-neg-in`
526×	`distribute-rgt-in`
496×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	81
1	291	69
2	4211	69

Stop Event

1×	node limit

Counts

3 → 251

Calls

Call 1

Inputs
(+.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))
(/.f64 d (*.f64 c (/.f64 a d)))
(pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)

Outputs

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*.f64 (+.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))) (sqrt.f64 (+.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))) 2) (cbrt.f64 (+.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -2)) (/.f64 1 (-.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 d) (+.f64 b (*.f64 c (/.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 d) (+.f64 b (pow.f64 (/.f64 d (*.f64 c a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 d) (+.f64 (*.f64 c (/.f64 a d)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 d) (+.f64 (pow.f64 (/.f64 d (*.f64 c a)) -1) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 b d) 2) (*.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1) (-.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1) (/.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 d)) (+.f64 (/.f64 b (sqrt.f64 d)) (/.f64 (*.f64 c (/.f64 a d)) (sqrt.f64 d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 d)) (+.f64 (/.f64 (*.f64 c (/.f64 a d)) (sqrt.f64 d)) (/.f64 b (sqrt.f64 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(/.f64 a 1) (*.f64 (/.f64 d c) d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a (sqrt.f64 d)) (*.f64 (/.f64 d c) (sqrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a (pow.f64 (cbrt.f64 d) 2)) (*.f64 (/.f64 d c) (cbrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c (/.f64 a d)) (sqrt.f64 d)) (sqrt.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c (*.f64 (pow.f64 (cbrt.f64 d) 2) (/.f64 d a))) (cbrt.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 d (*.f64 c (/.f64 a d)))) 2)) (cbrt.f64 (/.f64 d (*.f64 c (/.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) 1) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) (sqrt.f64 d)) (*.f64 d (sqrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c a) (pow.f64 (cbrt.f64 d) 2)) (*.f64 d (cbrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) a) (*.f64 d (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) a) (*.f64 (neg.f64 d) d))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 c (/.f64 a d)) 3) (pow.f64 d 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 c (/.f64 a d))) (log.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)))))))

simplify201.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

874×	`associate-r`
834×	`associate-*r/`
762×	`*-commutative`
734×	`associate-*l/`
714×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	618	11979
1	1795	10807
2	7780	10807

Stop Event

1×	node limit

Counts

371 → 353

Calls

Call 1

Inputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 b d))) (-.f64 1 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))) (-.f64 1 (/.f64 b d)))
(-.f64 (/.f64 (pow.f64 (/.f64 b d) 2) (-.f64 (/.f64 b d) (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1))) (/.f64 (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -2) (-.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))))
(-.f64 (+.f64 (/.f64 b d) (exp.f64 (log1p.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)))) 1)
(-.f64 (+.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1) (exp.f64 (log1p.f64 (/.f64 b d)))) 1)
(.f64 (+.f64 (/.f64 b d) (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1)) 1)
(.f64 1 (+.f64 (/.f64 b d) (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1)))
(.f64 (sqrt.f64 (+.f64 (/.f64 b d) (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1))) (sqrt.f64 (+.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))))
(.f64 (cbrt.f64 (+.f64 (/.f64 b d) (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b d) (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1))) 2) (cbrt.f64 (+.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))))
(.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -2)) (/.f64 1 (-.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))))
(.f64 (/.f64 1 d) (+.f64 b (.f64 c (/.f64 a d))))
(.f64 (/.f64 1 d) (+.f64 b (pow.f64 (/.f64 d (.f64 c a)) -1)))
(.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b))
(.f64 (/.f64 1 d) (+.f64 (pow.f64 (/.f64 d (.f64 c a)) -1) b))
(.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 b d) 2) (.f64 (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1) (-.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1) (/.f64 b d))))))
(.f64 (/.f64 1 (sqrt.f64 d)) (+.f64 (/.f64 b (sqrt.f64 d)) (/.f64 (.f64 c (/.f64 a d)) (sqrt.f64 d))))
(.f64 (/.f64 1 (sqrt.f64 d)) (+.f64 (/.f64 (.f64 c (/.f64 a d)) (sqrt.f64 d)) (/.f64 b (sqrt.f64 d))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 d) 2)) (+.f64 (/.f64 b (cbrt.f64 d)) (/.f64 (.f64 c (/.f64 a d)) (cbrt.f64 d))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 d) 2)) (+.f64 (/.f64 (.f64 c (/.f64 a d)) (cbrt.f64 d)) (/.f64 b (cbrt.f64 d))))
(.f64 (/.f64 1 (-.f64 (/.f64 b d) (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1))) (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 b d) 2) (.f64 (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1) (-.f64 (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1) (/.f64 b d))))) (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -3)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -2)) (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -2))) (+.f64 (/.f64 b d) (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -2)) (-.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -3))) (+.f64 (pow.f64 (/.f64 b d) 2) (.f64 (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1) (+.f64 (/.f64 b d) (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1)))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -2)) (-.f64 (.f64 b (/.f64 d (.f64 c (/.f64 a d)))) d)) (.f64 d (/.f64 d (.f64 c (/.f64 a d)))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -2)) (-.f64 (/.f64 d (.f64 c (/.f64 a d))) (.f64 (/.f64 d b) 1))) (.f64 (/.f64 d b) (/.f64 d (.f64 c (/.f64 a d)))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -2)) (-.f64 (.f64 (neg.f64 b) (/.f64 d (.f64 c (/.f64 a d)))) (neg.f64 d))) (.f64 (neg.f64 d) (/.f64 d (.f64 c (/.f64 a d)))))
(.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -3)) (-.f64 (.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 b d) 2)) (.f64 (.f64 (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1) (-.f64 (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1) (/.f64 b d))) (.f64 (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1) (-.f64 (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1) (/.f64 b d)))))) (-.f64 (pow.f64 (/.f64 b d) 2) (.f64 (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1) (-.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1) (/.f64 b d)))))
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(*.f64 (/.f64 1 (neg.f64 (/.f64 d c))) (neg.f64 (/.f64 a d)))
(.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1)) 1) (sqrt.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)))
(.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1)) (sqrt.f64 d)) (sqrt.f64 (*.f64 c (/.f64 a d))))
(.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1)) (sqrt.f64 (/.f64 d c))) (sqrt.f64 (/.f64 a d)))
(.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1)) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (/.f64 (*.f64 (neg.f64 c) a) d)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 a d))) 2) d) (cbrt.f64 (*.f64 c (/.f64 a d))))
(.f64 (/.f64 (/.f64 1 d) -1) (/.f64 (.f64 (neg.f64 c) a) d))
(.f64 (/.f64 (/.f64 1 d) 1) (.f64 c (/.f64 a d)))
(*.f64 (/.f64 (/.f64 1 d) (/.f64 d a)) c)
(*.f64 (/.f64 (/.f64 1 d) (/.f64 1 c)) (/.f64 a d))
(.f64 (/.f64 (/.f64 1 d) (/.f64 1 (sqrt.f64 (.f64 c (/.f64 a d))))) (sqrt.f64 (*.f64 c (/.f64 a d))))
(.f64 (/.f64 (/.f64 1 d) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 c (/.f64 a d))) 2))) (cbrt.f64 (*.f64 c (/.f64 a d))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 d (.f64 c (/.f64 a d)))) 2)) 1) (cbrt.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 d (.f64 c (/.f64 a d)))) 2)) (cbrt.f64 d)) (cbrt.f64 (*.f64 c (/.f64 a d))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 d (.f64 c (/.f64 a d)))) 2)) (cbrt.f64 (/.f64 d c))) (cbrt.f64 (/.f64 a d)))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 d (.f64 c (/.f64 a d)))) 2)) (cbrt.f64 (neg.f64 d))) (cbrt.f64 (/.f64 (*.f64 (neg.f64 c) a) d)))
(/.f64 c (/.f64 d (/.f64 a d)))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 c (*.f64 1 (/.f64 d (/.f64 a d))))
(/.f64 a (*.f64 (/.f64 d c) d))
(/.f64 (/.f64 a d) (/.f64 d c))
(/.f64 (*.f64 c (/.f64 a d)) d)
(/.f64 -1 (.f64 (neg.f64 d) (/.f64 d (.f64 c a))))
(/.f64 -1 (*.f64 (/.f64 d c) (neg.f64 (/.f64 d a))))
(/.f64 -1 (.f64 (/.f64 d (.f64 c a)) (neg.f64 d)))
(/.f64 -1 (.f64 1 (.f64 (neg.f64 d) (/.f64 d (*.f64 c a)))))
(/.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1) 1)
(/.f64 1 (/.f64 d (*.f64 c (/.f64 a d))))
(/.f64 1 (.f64 (/.f64 d (.f64 c a)) (/.f64 d 1)))
(/.f64 (sqrt.f64 (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1)) (sqrt.f64 (/.f64 d (.f64 c (/.f64 a d)))))
(/.f64 (sqrt.f64 (.f64 c (/.f64 a d))) (/.f64 d (sqrt.f64 (.f64 c (/.f64 a d)))))
(/.f64 (sqrt.f64 (.f64 c (/.f64 a d))) (.f64 1 (/.f64 d (sqrt.f64 (*.f64 c (/.f64 a d))))))
(/.f64 (sqrt.f64 a) (*.f64 (/.f64 d c) (/.f64 d (sqrt.f64 a))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 a d))) 2) (/.f64 d (cbrt.f64 (.f64 c (/.f64 a d)))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 a d))) 2) (.f64 1 (/.f64 d (cbrt.f64 (*.f64 c (/.f64 a d))))))
(/.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (/.f64 d c) (/.f64 d (cbrt.f64 a))))
(/.f64 (.f64 c a) (.f64 d d))
(/.f64 (/.f64 1 d) (/.f64 d (*.f64 c a)))
(/.f64 (/.f64 (*.f64 (neg.f64 c) a) d) (neg.f64 d))
(/.f64 (neg.f64 a) (*.f64 (/.f64 d c) (neg.f64 d)))
(/.f64 (sqrt.f64 (.f64 c a)) (.f64 (/.f64 d (sqrt.f64 (*.f64 c (/.f64 a d)))) (sqrt.f64 d)))
(/.f64 (.f64 c (neg.f64 a)) (.f64 d (neg.f64 d)))
(/.f64 (/.f64 1 (sqrt.f64 d)) (.f64 (/.f64 d (.f64 c a)) (sqrt.f64 d)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 d) 2)) (.f64 (/.f64 d (.f64 c a)) (cbrt.f64 d)))
(/.f64 (/.f64 a 1) (*.f64 (/.f64 d c) d))
(/.f64 (/.f64 a (sqrt.f64 d)) (*.f64 (/.f64 d c) (sqrt.f64 d)))
(/.f64 (/.f64 a (pow.f64 (cbrt.f64 d) 2)) (*.f64 (/.f64 d c) (cbrt.f64 d)))
(/.f64 (/.f64 (*.f64 c (/.f64 a d)) (sqrt.f64 d)) (sqrt.f64 d))
(/.f64 (/.f64 c (*.f64 (pow.f64 (cbrt.f64 d) 2) (/.f64 d a))) (cbrt.f64 d))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 d (.f64 c (/.f64 a d)))) 2)) (cbrt.f64 (/.f64 d (.f64 c (/.f64 a d)))))
(/.f64 (/.f64 (.f64 c a) 1) (.f64 d d))
(/.f64 (/.f64 (.f64 c a) (sqrt.f64 d)) (.f64 d (sqrt.f64 d)))
(/.f64 (/.f64 (.f64 c a) (pow.f64 (cbrt.f64 d) 2)) (.f64 d (cbrt.f64 d)))
(/.f64 (.f64 (neg.f64 c) a) (.f64 d (neg.f64 d)))
(/.f64 (.f64 (neg.f64 c) a) (.f64 (neg.f64 d) d))
(sqrt.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -2))
(log.f64 (exp.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))))
(cbrt.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 c (/.f64 a d)) 3) (pow.f64 d 3)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)))
(exp.f64 (log.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)))
(exp.f64 (-.f64 (log.f64 (*.f64 c (/.f64 a d))) (log.f64 d)))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)))

Outputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (.f64 c (/.f64 a (.f64 d d))))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
(/.f64 (pow.f64 d 2) (*.f64 c a))
(/.f64 (.f64 d d) (.f64 c a))
(/.f64 (/.f64 d c) (/.f64 a d))
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(.f64 c (/.f64 a (.f64 d d)))
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) d) (/.f64 (sqrt.f64 (*.f64 c a)) d))
(.f64 (/.f64 (sqrt.f64 (.f64 c (/.f64 a d))) (pow.f64 (cbrt.f64 d) 2)) (/.f64 (sqrt.f64 (*.f64 c (/.f64 a d))) (cbrt.f64 d)))
(.f64 c (/.f64 a (.f64 d d)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 a d))) 2) 1) (/.f64 (cbrt.f64 (*.f64 c (/.f64 a d))) d))
(.f64 c (/.f64 a (.f64 d d)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 a d))) 2) (sqrt.f64 d)) (/.f64 (cbrt.f64 (*.f64 c (/.f64 a d))) (sqrt.f64 d)))
(.f64 c (/.f64 a (.f64 d d)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 a d))) 2) (pow.f64 (cbrt.f64 d) 2)) (/.f64 (cbrt.f64 (*.f64 c (/.f64 a d))) (cbrt.f64 d)))
(.f64 c (/.f64 a (.f64 d d)))
(.f64 (pow.f64 (sqrt.f64 (/.f64 d (.f64 c (/.f64 a d)))) -1) (pow.f64 (sqrt.f64 (/.f64 d (*.f64 c (/.f64 a d)))) -1))
(pow.f64 (sqrt.f64 (/.f64 d (*.f64 c (/.f64 a d)))) -2)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 d c) (/.f64 a d))) -2)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 d (.f64 c (/.f64 a d)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 d (*.f64 c (/.f64 a d)))) -1))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 (/.f64 (/.f64 a d) (neg.f64 d)) (neg.f64 c))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 (/.f64 (/.f64 a d) (/.f64 d 1)) c)
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 (/.f64 (/.f64 a d) (/.f64 d (sqrt.f64 c))) (sqrt.f64 c))
(.f64 (sqrt.f64 c) (.f64 (/.f64 a (*.f64 d d)) (sqrt.f64 c)))
(.f64 (/.f64 a (.f64 d d)) (*.f64 (sqrt.f64 c) (sqrt.f64 c)))
(*.f64 (/.f64 (/.f64 a d) (/.f64 d (pow.f64 (cbrt.f64 c) 2))) (cbrt.f64 c))
(.f64 (cbrt.f64 c) (.f64 (/.f64 a (*.f64 d d)) (pow.f64 (cbrt.f64 c) 2)))
(.f64 (cbrt.f64 c) (.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 a (*.f64 d d))))
(*.f64 (/.f64 1 (/.f64 d (/.f64 a d))) c)
(.f64 c (/.f64 a (.f64 d d)))
(.f64 (/.f64 1 (/.f64 d (sqrt.f64 (.f64 c (/.f64 a d))))) (sqrt.f64 (*.f64 c (/.f64 a d))))
(.f64 c (/.f64 a (.f64 d d)))
(.f64 (/.f64 1 (/.f64 d (pow.f64 (cbrt.f64 (.f64 c (/.f64 a d))) 2))) (cbrt.f64 (*.f64 c (/.f64 a d))))
(.f64 c (/.f64 a (.f64 d d)))
(.f64 (/.f64 1 (.f64 (/.f64 d c) (sqrt.f64 (/.f64 d a)))) (sqrt.f64 (/.f64 a d)))
(/.f64 (.f64 1 (sqrt.f64 (/.f64 a d))) (.f64 (/.f64 d c) (sqrt.f64 (/.f64 d a))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 a d)) (/.f64 c d)) (sqrt.f64 (/.f64 d a)))
(*.f64 (/.f64 1 (/.f64 (/.f64 d c) (pow.f64 (cbrt.f64 (/.f64 a d)) 2))) (cbrt.f64 (/.f64 a d)))
(.f64 (cbrt.f64 (/.f64 a d)) (.f64 (/.f64 1 (/.f64 d c)) (pow.f64 (cbrt.f64 (/.f64 a d)) 2)))
(.f64 (.f64 (cbrt.f64 (/.f64 a d)) (/.f64 c d)) (pow.f64 (cbrt.f64 (/.f64 a d)) 2))
(*.f64 (/.f64 1 (neg.f64 (/.f64 d c))) (neg.f64 (/.f64 a d)))
(.f64 c (/.f64 a (.f64 d d)))
(.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1)) 1) (sqrt.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)))
(.f64 c (/.f64 a (.f64 d d)))
(.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1)) (sqrt.f64 d)) (sqrt.f64 (*.f64 c (/.f64 a d))))
(.f64 (sqrt.f64 (.f64 c (/.f64 a d))) (/.f64 (sqrt.f64 (.f64 c (.f64 (/.f64 a d) (/.f64 1 d)))) (sqrt.f64 d)))
(/.f64 (sqrt.f64 (.f64 c (/.f64 a (.f64 d d)))) (/.f64 (sqrt.f64 d) (sqrt.f64 (*.f64 c (/.f64 a d)))))
(.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1)) (sqrt.f64 (/.f64 d c))) (sqrt.f64 (/.f64 a d)))
(.f64 (sqrt.f64 (/.f64 a d)) (/.f64 (sqrt.f64 (.f64 c (*.f64 (/.f64 a d) (/.f64 1 d)))) (sqrt.f64 (/.f64 d c))))
(/.f64 (sqrt.f64 (.f64 c (/.f64 a (.f64 d d)))) (/.f64 (sqrt.f64 (/.f64 d c)) (sqrt.f64 (/.f64 a d))))
(.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1)) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (/.f64 (*.f64 (neg.f64 c) a) d)))
(.f64 (/.f64 (sqrt.f64 (.f64 c (.f64 (/.f64 a d) (/.f64 1 d)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (/.f64 (.f64 a (neg.f64 c)) d)))
(.f64 (/.f64 (sqrt.f64 (.f64 c (/.f64 a (.f64 d d)))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (.f64 a (/.f64 (neg.f64 c) d))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 a d))) 2) d) (cbrt.f64 (*.f64 c (/.f64 a d))))
(.f64 c (/.f64 a (.f64 d d)))
(.f64 (/.f64 (/.f64 1 d) -1) (/.f64 (.f64 (neg.f64 c) a) d))
(.f64 c (/.f64 a (.f64 d d)))
(.f64 (/.f64 (/.f64 1 d) 1) (.f64 c (/.f64 a d)))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 (/.f64 (/.f64 1 d) (/.f64 d a)) c)
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 (/.f64 (/.f64 1 d) (/.f64 1 c)) (/.f64 a d))
(.f64 c (/.f64 a (.f64 d d)))
(.f64 (/.f64 (/.f64 1 d) (/.f64 1 (sqrt.f64 (.f64 c (/.f64 a d))))) (sqrt.f64 (*.f64 c (/.f64 a d))))
(.f64 c (/.f64 a (.f64 d d)))
(.f64 (/.f64 (/.f64 1 d) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 c (/.f64 a d))) 2))) (cbrt.f64 (*.f64 c (/.f64 a d))))
(.f64 c (/.f64 a (.f64 d d)))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 d (.f64 c (/.f64 a d)))) 2)) 1) (cbrt.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)))
(.f64 (cbrt.f64 (.f64 c (.f64 (/.f64 a d) (/.f64 1 d)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 d (.f64 c (/.f64 a d)))) 2)))
(/.f64 (cbrt.f64 (.f64 c (/.f64 a (.f64 d d)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 d c) (/.f64 a d))) 2))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 d (.f64 c (/.f64 a d)))) 2)) (cbrt.f64 d)) (cbrt.f64 (*.f64 c (/.f64 a d))))
(.f64 (cbrt.f64 (.f64 c (/.f64 a d))) (/.f64 1 (.f64 (cbrt.f64 d) (pow.f64 (cbrt.f64 (/.f64 d (.f64 c (/.f64 a d)))) 2))))
(/.f64 (cbrt.f64 (.f64 c (/.f64 a d))) (.f64 (cbrt.f64 d) (pow.f64 (cbrt.f64 (/.f64 (/.f64 d c) (/.f64 a d))) 2)))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 d (.f64 c (/.f64 a d)))) 2)) (cbrt.f64 (/.f64 d c))) (cbrt.f64 (/.f64 a d)))
(.f64 (cbrt.f64 (/.f64 a d)) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 d (.f64 c (/.f64 a d)))) 2)) (cbrt.f64 (/.f64 d c))))
(/.f64 (cbrt.f64 (/.f64 a d)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 d c) (/.f64 a d))) 2) (cbrt.f64 (/.f64 d c))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 d (.f64 c (/.f64 a d)))) 2)) (cbrt.f64 (neg.f64 d))) (cbrt.f64 (/.f64 (*.f64 (neg.f64 c) a) d)))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (neg.f64 d)) (pow.f64 (cbrt.f64 (/.f64 d (.f64 c (/.f64 a d)))) 2))) (cbrt.f64 (/.f64 (.f64 a (neg.f64 c)) d)))
(.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 d c) (/.f64 a d))) 2) (cbrt.f64 (neg.f64 d)))) (cbrt.f64 (*.f64 a (/.f64 (neg.f64 c) d))))
(/.f64 c (/.f64 d (/.f64 a d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 c (*.f64 d (/.f64 d a)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 c (*.f64 1 (/.f64 d (/.f64 a d))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 a (*.f64 (/.f64 d c) d))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (/.f64 a d) (/.f64 d c))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c (/.f64 a d)) d)
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 -1 (.f64 (neg.f64 d) (/.f64 d (.f64 c a))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 -1 (*.f64 (/.f64 d c) (neg.f64 (/.f64 d a))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 -1 (.f64 (/.f64 d (.f64 c a)) (neg.f64 d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 -1 (.f64 1 (.f64 (neg.f64 d) (/.f64 d (*.f64 c a)))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1) 1)
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 1 (/.f64 d (*.f64 c (/.f64 a d))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 1 (.f64 (/.f64 d (.f64 c a)) (/.f64 d 1)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (sqrt.f64 (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1)) (sqrt.f64 (/.f64 d (.f64 c (/.f64 a d)))))
(/.f64 (sqrt.f64 (.f64 c (.f64 (/.f64 a d) (/.f64 1 d)))) (sqrt.f64 (/.f64 d (*.f64 c (/.f64 a d)))))
(/.f64 (sqrt.f64 (.f64 c (/.f64 a (.f64 d d)))) (sqrt.f64 (/.f64 (/.f64 d c) (/.f64 a d))))
(/.f64 (sqrt.f64 (.f64 c (/.f64 a d))) (/.f64 d (sqrt.f64 (.f64 c (/.f64 a d)))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (sqrt.f64 (.f64 c (/.f64 a d))) (.f64 1 (/.f64 d (sqrt.f64 (*.f64 c (/.f64 a d))))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (sqrt.f64 a) (*.f64 (/.f64 d c) (/.f64 d (sqrt.f64 a))))
(/.f64 (sqrt.f64 a) (/.f64 (*.f64 d (/.f64 d c)) (sqrt.f64 a)))
(.f64 (/.f64 (sqrt.f64 a) (.f64 d (/.f64 d c))) (sqrt.f64 a))
(/.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 a d))) 2) (/.f64 d (cbrt.f64 (.f64 c (/.f64 a d)))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 a d))) 2) (.f64 1 (/.f64 d (cbrt.f64 (*.f64 c (/.f64 a d))))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (/.f64 d c) (/.f64 d (cbrt.f64 a))))
(/.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 (*.f64 d (/.f64 d c)) (cbrt.f64 a)))
(/.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 d (/.f64 (cbrt.f64 a) (/.f64 d c))))
(/.f64 (.f64 c a) (.f64 d d))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (/.f64 1 d) (/.f64 d (*.f64 c a)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (/.f64 (*.f64 (neg.f64 c) a) d) (neg.f64 d))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (neg.f64 a) (*.f64 (/.f64 d c) (neg.f64 d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (sqrt.f64 (.f64 c a)) (.f64 (/.f64 d (sqrt.f64 (*.f64 c (/.f64 a d)))) (sqrt.f64 d)))
(/.f64 (sqrt.f64 (.f64 c a)) (/.f64 (.f64 d (sqrt.f64 d)) (sqrt.f64 (*.f64 c (/.f64 a d)))))
(/.f64 (sqrt.f64 (.f64 c a)) (/.f64 (sqrt.f64 d) (/.f64 (sqrt.f64 (.f64 c (/.f64 a d))) d)))
(/.f64 (.f64 c (neg.f64 a)) (.f64 d (neg.f64 d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (/.f64 1 (sqrt.f64 d)) (.f64 (/.f64 d (.f64 c a)) (sqrt.f64 d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 d) 2)) (.f64 (/.f64 d (.f64 c a)) (cbrt.f64 d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (/.f64 a 1) (*.f64 (/.f64 d c) d))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (/.f64 a (sqrt.f64 d)) (*.f64 (/.f64 d c) (sqrt.f64 d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (/.f64 a (pow.f64 (cbrt.f64 d) 2)) (*.f64 (/.f64 d c) (cbrt.f64 d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (/.f64 (*.f64 c (/.f64 a d)) (sqrt.f64 d)) (sqrt.f64 d))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (/.f64 c (*.f64 (pow.f64 (cbrt.f64 d) 2) (/.f64 d a))) (cbrt.f64 d))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 d (.f64 c (/.f64 a d)))) 2)) (cbrt.f64 (/.f64 d (.f64 c (/.f64 a d)))))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (/.f64 (.f64 c a) 1) (.f64 d d))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (/.f64 (.f64 c a) (sqrt.f64 d)) (.f64 d (sqrt.f64 d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (/.f64 (.f64 c a) (pow.f64 (cbrt.f64 d) 2)) (.f64 d (cbrt.f64 d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (.f64 (neg.f64 c) a) (.f64 d (neg.f64 d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (.f64 (neg.f64 c) a) (.f64 (neg.f64 d) d))
(.f64 c (/.f64 a (.f64 d d)))
(sqrt.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -2))
(fabs.f64 (.f64 c (/.f64 a (.f64 d d))))
(log.f64 (exp.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)))
(.f64 c (/.f64 a (.f64 d d)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))))
(.f64 c (/.f64 a (.f64 d d)))
(cbrt.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -3))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 d c) (/.f64 a d)) -3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 c (/.f64 a d)) 3) (pow.f64 d 3)))
(cbrt.f64 (pow.f64 (.f64 c (/.f64 a (.f64 d d))) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)))
(.f64 c (/.f64 a (.f64 d d)))
(exp.f64 (log.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)))
(.f64 c (/.f64 a (.f64 d d)))
(exp.f64 (-.f64 (log.f64 (*.f64 c (/.f64 a d))) (log.f64 d)))
(.f64 c (/.f64 a (.f64 d d)))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 d (.f64 c (/.f64 a d))) -1)) 1))
(.f64 c (/.f64 a (.f64 d d)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1)))
(.f64 c (/.f64 a (.f64 d d)))

eval448.0ms (3.1%)

Compiler: Compiled 30072 to 9134 computations (69.6% saved)

prune515.0ms (3.6%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	1210	12	1222
Fresh	8	8	16
Picked	1	0	1
Done	3	2	5
Total	1222	22	1244

Error

0.1b

Counts

1244 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	33.7b	(/.f64 (/.f64 (*.f64 d b) (hypot.f64 c d)) (hypot.f64 c d))
	33.1b	(/.f64 (/.f64 (*.f64 c a) (hypot.f64 c d)) (hypot.f64 c d))
	44.4b	(/.f64 (+.f64 b (*.f64 (/.f64 c d) a)) (hypot.f64 c d))
	42.1b	(/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d))
	37.6b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	42.7b	(/.f64 (*.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))) (hypot.f64 c d))
▶	43.3b	(/.f64 b (hypot.f64 c d))
✓	37.5b	(/.f64 b d)
✓	35.7b	(/.f64 a c)
▶	17.3b	(/.f64 -1 (/.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d))) (/.f64 -1 (hypot.f64 c d))))
	32.4b	(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))
▶	34.6b	(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
	33.3b	(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
	32.4b	(+.f64 (/.f64 a c) (/.f64 b (*.f64 (/.f64 c d) c)))
	30.2b	(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
	30.4b	(+.f64 (/.f64 a c) (.f64 (/.f64 1 c) (.f64 b (/.f64 d c))))
▶	36.3b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
	50.4b	(*.f64 (/.f64 c d) (/.f64 a d))
	33.7b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 d b) (hypot.f64 c d)))
	32.3b	(.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b))
	50.1b	(*.f64 c (/.f64 (/.f64 a d) d))
▶	51.1b	(.f64 c (/.f64 a (.f64 d d)))

Compiler

Compiled 606 to 370 computations (38.9% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(+.f64 (.f64 a c) (.f64 b d))
✓	0.3b	(/.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d))) (/.f64 -1 (hypot.f64 c d)))
✓	0.8b	(/.f64 -1 (/.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d))) (/.f64 -1 (hypot.f64 c d))))
✓	15.7b	(/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d)))

Compiler

Compiled 77 to 20 computations (74% saved)

series22.0ms (0.2%)

Counts

3 → 144

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	d	@	inf	(/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d)))
2.0ms	a	@	-inf	(/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d)))
1.0ms	a	@	inf	(/.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d))) (/.f64 -1 (hypot.f64 c d)))
1.0ms	a	@	0	(/.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d))) (/.f64 -1 (hypot.f64 c d)))
1.0ms	b	@	0	(/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d)))

rewrite156.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1300×	`associate-/l/`
918×	`distribute-rgt-in`
876×	`distribute-lft-in`
346×	`add-sqr-sqrt`
344×	`*-un-lft-identity`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	123
1	336	115
2	4808	111

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

Inputs

(/.f64 (hypot.f64 c d) (+.f64 (*.f64 a c) (*.f64 b d)))

(/.f64 -1 (/.f64 (/.f64 (hypot.f64 c d) (+.f64 (*.f64 a c) (*.f64 b d))) (/.f64 -1 (hypot.f64 c d))))

(/.f64 (/.f64 (hypot.f64 c d) (+.f64 (*.f64 a c) (*.f64 b d))) (/.f64 -1 (hypot.f64 c d)))

Outputs

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simplify194.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1354×	`associate-/l*`
1150×	`associate-r`
1080×	`associate-/r*`
990×	`associate-l`
986×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	688	21818
1	2382	20066

Stop Event

1×	node limit

Counts

290 → 391

Calls

Call 1

Inputs
(/.f64 1 b)
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(/.f64 1 a)
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(/.f64 -1 a)
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(/.f64 1 a)
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(/.f64 1 b)
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d)))) 2) -1) (/.f64 (cbrt.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (*.f64 b d)))) (/.f64 1 (hypot.f64 c d))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (*.f64 b d)))) (/.f64 -1 (hypot.f64 c d))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d)))) 2) (sqrt.f64 (/.f64 -1 (hypot.f64 c d)))) (/.f64 (cbrt.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (*.f64 b d)))) (sqrt.f64 (/.f64 -1 (hypot.f64 c d)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d)))) 2) (pow.f64 (/.f64 -1 (cbrt.f64 (hypot.f64 c d))) 2)) (cbrt.f64 (/.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (*.f64 b d))) (/.f64 -1 (hypot.f64 c d)))))
(.f64 (.f64 (/.f64 (hypot.f64 c d) (neg.f64 (+.f64 (.f64 a c) (.f64 b d)))) 1) (hypot.f64 c d))
(.f64 (.f64 (/.f64 (hypot.f64 c d) (neg.f64 (+.f64 (.f64 a c) (.f64 b d)))) (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d)))
(pow.f64 (/.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d))) (/.f64 -1 (hypot.f64 c d))) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d))) (/.f64 -1 (hypot.f64 c d)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d))) (/.f64 -1 (hypot.f64 c d)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d))) (/.f64 -1 (hypot.f64 c d))) 3) 1/3)
(pow.f64 (/.f64 (neg.f64 (+.f64 (.f64 a c) (.f64 b d))) (pow.f64 (hypot.f64 c d) 2)) -1)
(neg.f64 (.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (*.f64 b d))) (hypot.f64 c d)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d))) (/.f64 -1 (hypot.f64 c d))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d)))) (neg.f64 (hypot.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d))) (/.f64 -1 (hypot.f64 c d))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d))) (/.f64 -1 (hypot.f64 c d))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d))) 3) (pow.f64 (/.f64 -1 (hypot.f64 c d)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d))) (/.f64 -1 (hypot.f64 c d)))))
(exp.f64 (neg.f64 (log.f64 (/.f64 (neg.f64 (+.f64 (.f64 a c) (.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))))
(exp.f64 (.f64 (neg.f64 (log.f64 (/.f64 (neg.f64 (+.f64 (.f64 a c) (*.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d))) (/.f64 -1 (hypot.f64 c d)))))

Outputs
(/.f64 1 b)
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (*.f64 d (pow.f64 b 2)))) (/.f64 1 b))
(fma.f64 -1 (/.f64 (.f64 c a) (.f64 d (*.f64 b b))) (/.f64 1 b))
(fma.f64 -1 (.f64 (/.f64 a (.f64 b b)) (/.f64 c d)) (/.f64 1 b))
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (.f64 d (pow.f64 b 2)))) (+.f64 (.f64 (pow.f64 c 2) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 d 2) b))) (.f64 -1 (/.f64 (pow.f64 a 2) (.f64 (pow.f64 d 2) (pow.f64 b 3)))))) (/.f64 1 b)))
(fma.f64 -1 (/.f64 (.f64 c a) (.f64 d (.f64 b b))) (fma.f64 (.f64 c c) (-.f64 (/.f64 1/2 (.f64 b (.f64 d d))) (neg.f64 (/.f64 (.f64 a a) (.f64 (*.f64 d d) (pow.f64 b 3))))) (/.f64 1 b)))
(fma.f64 -1 (.f64 (/.f64 a (.f64 b b)) (/.f64 c d)) (fma.f64 (.f64 c c) (-.f64 (/.f64 1/2 (.f64 d (.f64 b d))) (neg.f64 (/.f64 (/.f64 (.f64 a a) (*.f64 d d)) (pow.f64 b 3)))) (/.f64 1 b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 d 2) b))) (.f64 -1 (/.f64 (pow.f64 a 2) (.f64 (pow.f64 d 2) (pow.f64 b 3))))) a)) (.f64 d b))) (+.f64 (.f64 -1 (/.f64 (.f64 c a) (.f64 d (pow.f64 b 2)))) (+.f64 (.f64 (pow.f64 c 2) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 d 2) b))) (.f64 -1 (/.f64 (pow.f64 a 2) (.f64 (pow.f64 d 2) (pow.f64 b 3)))))) (/.f64 1 b))))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 c 3) d) (/.f64 (.f64 a (-.f64 (/.f64 1/2 (.f64 b (.f64 d d))) (neg.f64 (/.f64 (.f64 a a) (.f64 (.f64 d d) (pow.f64 b 3)))))) b)) (fma.f64 -1 (/.f64 (.f64 c a) (.f64 d (.f64 b b))) (fma.f64 (.f64 c c) (-.f64 (/.f64 1/2 (.f64 b (.f64 d d))) (neg.f64 (/.f64 (.f64 a a) (.f64 (.f64 d d) (pow.f64 b 3))))) (/.f64 1 b))))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 c 3) d) (/.f64 a (/.f64 b (-.f64 (/.f64 1/2 (.f64 d (.f64 b d))) (neg.f64 (/.f64 (/.f64 (.f64 a a) (.f64 d d)) (pow.f64 b 3))))))) (fma.f64 -1 (.f64 (/.f64 a (.f64 b b)) (/.f64 c d)) (fma.f64 (.f64 c c) (-.f64 (/.f64 1/2 (.f64 d (.f64 b d))) (neg.f64 (/.f64 (/.f64 (.f64 a a) (.f64 d d)) (pow.f64 b 3)))) (/.f64 1 b))))
(/.f64 1 a)
(+.f64 (.f64 -1 (/.f64 (.f64 d b) (*.f64 c (pow.f64 a 2)))) (/.f64 1 a))
(fma.f64 -1 (.f64 (/.f64 d c) (/.f64 b (.f64 a a))) (/.f64 1 a))
(fma.f64 -1 (.f64 (/.f64 b (.f64 a a)) (/.f64 d c)) (/.f64 1 a))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 2) a))) (/.f64 1 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (.f64 (pow.f64 c 2) (pow.f64 a 3)))))
(-.f64 (fma.f64 -1 (.f64 (/.f64 d c) (/.f64 b (.f64 a a))) (fma.f64 1/2 (/.f64 (.f64 d d) (.f64 a (.f64 c c))) (/.f64 1 a))) (neg.f64 (.f64 (/.f64 (.f64 d d) (.f64 c c)) (/.f64 (*.f64 b b) (pow.f64 a 3)))))
(-.f64 (fma.f64 -1 (.f64 (/.f64 b (.f64 a a)) (/.f64 d c)) (fma.f64 1/2 (/.f64 d (/.f64 (.f64 c (.f64 c a)) d)) (/.f64 1 a))) (/.f64 (neg.f64 (/.f64 (pow.f64 (.f64 b d) 2) (pow.f64 a 3))) (.f64 c c)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 d (.f64 (-.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) a)) (.f64 -1 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (pow.f64 a 3)))) b)) (.f64 (pow.f64 c 3) a))) (+.f64 (.f64 -1 (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 2) a))) (/.f64 1 a)))) (.f64 -1 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (*.f64 (pow.f64 c 2) (pow.f64 a 3)))))
(-.f64 (fma.f64 -1 (.f64 (/.f64 d (pow.f64 c 3)) (/.f64 (.f64 b (-.f64 (.f64 1/2 (/.f64 (.f64 d d) a)) (neg.f64 (/.f64 (.f64 d d) (/.f64 (pow.f64 a 3) (.f64 b b)))))) a)) (fma.f64 -1 (.f64 (/.f64 d c) (/.f64 b (.f64 a a))) (fma.f64 1/2 (/.f64 (.f64 d d) (.f64 a (.f64 c c))) (/.f64 1 a)))) (neg.f64 (.f64 (/.f64 (.f64 d d) (.f64 c c)) (/.f64 (*.f64 b b) (pow.f64 a 3)))))
(-.f64 (fma.f64 -1 (/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 1/2 d) d) a) (neg.f64 (/.f64 (pow.f64 (.f64 b d) 2) (pow.f64 a 3)))) (.f64 b d)) (.f64 a (pow.f64 c 3))) (fma.f64 -1 (.f64 (/.f64 b (.f64 a a)) (/.f64 d c)) (fma.f64 1/2 (/.f64 d (/.f64 (.f64 c (.f64 c a)) d)) (/.f64 1 a)))) (/.f64 (neg.f64 (/.f64 (pow.f64 (.f64 b d) 2) (pow.f64 a 3))) (.f64 c c)))
(/.f64 -1 a)
(-.f64 (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2))) (/.f64 1 a))
(-.f64 (.f64 (/.f64 d c) (/.f64 b (.f64 a a))) (/.f64 1 a))
(-.f64 (.f64 (/.f64 b (.f64 a a)) (/.f64 d c)) (/.f64 1 a))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 2) a))) (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2)))) (+.f64 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 1 a)))
(-.f64 (fma.f64 -1/2 (/.f64 (.f64 d d) (.f64 a (.f64 c c))) (.f64 (/.f64 d c) (/.f64 b (.f64 a a)))) (+.f64 (/.f64 1 a) (.f64 (/.f64 (.f64 d d) (.f64 c c)) (/.f64 (*.f64 b b) (pow.f64 a 3)))))
(-.f64 (fma.f64 -1/2 (/.f64 d (/.f64 (.f64 c (.f64 c a)) d)) (.f64 (/.f64 b (.f64 a a)) (/.f64 d c))) (+.f64 (/.f64 1 a) (/.f64 (pow.f64 (.f64 b d) 2) (.f64 c (*.f64 c (pow.f64 a 3))))))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (.f64 (pow.f64 c 2) a))) (+.f64 (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2))) (.f64 -1 (/.f64 (.f64 d (.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) a)) (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (pow.f64 a 3))) b)) (.f64 (pow.f64 c 3) a))))) (+.f64 (/.f64 (.f64 (pow.f64 d 2) (pow.f64 b 2)) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 1 a)))
(-.f64 (+.f64 (fma.f64 -1/2 (/.f64 (.f64 d d) (.f64 a (.f64 c c))) (.f64 (/.f64 d c) (/.f64 b (.f64 a a)))) (neg.f64 (.f64 (/.f64 d (pow.f64 c 3)) (/.f64 (.f64 b (-.f64 (.f64 (/.f64 (.f64 d d) a) -1/2) (/.f64 (.f64 d d) (/.f64 (pow.f64 a 3) (.f64 b b))))) a)))) (+.f64 (/.f64 1 a) (.f64 (/.f64 (.f64 d d) (.f64 c c)) (/.f64 (*.f64 b b) (pow.f64 a 3)))))
(+.f64 (fma.f64 -1/2 (/.f64 d (/.f64 (.f64 c (.f64 c a)) d)) (.f64 (/.f64 b (.f64 a a)) (/.f64 d c))) (-.f64 (/.f64 (neg.f64 d) (/.f64 (pow.f64 c 3) (/.f64 (-.f64 (/.f64 (.f64 (.f64 -1/2 d) d) a) (/.f64 (pow.f64 (.f64 b d) 2) (pow.f64 a 3))) (/.f64 a b)))) (+.f64 (/.f64 1 a) (/.f64 (pow.f64 (.f64 b d) 2) (.f64 c (.f64 c (pow.f64 a 3)))))))
(/.f64 1 a)
(+.f64 (.f64 -1 (/.f64 (.f64 d b) (*.f64 c (pow.f64 a 2)))) (/.f64 1 a))
(fma.f64 -1 (.f64 (/.f64 d c) (/.f64 b (.f64 a a))) (/.f64 1 a))
(fma.f64 -1 (.f64 (/.f64 b (.f64 a a)) (/.f64 d c)) (/.f64 1 a))
(+.f64 (.f64 (pow.f64 d 2) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) a))) (.f64 -1 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 3)))))) (+.f64 (.f64 -1 (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2)))) (/.f64 1 a)))
(fma.f64 (.f64 d d) (-.f64 (/.f64 1/2 (.f64 a (.f64 c c))) (neg.f64 (/.f64 (.f64 b b) (.f64 (.f64 c c) (pow.f64 a 3))))) (fma.f64 -1 (.f64 (/.f64 d c) (/.f64 b (.f64 a a))) (/.f64 1 a)))
(fma.f64 (.f64 d d) (-.f64 (/.f64 1/2 (.f64 c (.f64 c a))) (/.f64 (.f64 (neg.f64 b) b) (.f64 c (.f64 c (pow.f64 a 3))))) (fma.f64 -1 (.f64 (/.f64 b (.f64 a a)) (/.f64 d c)) (/.f64 1 a)))
(+.f64 (.f64 (pow.f64 d 2) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) a))) (.f64 -1 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 3)))))) (+.f64 (.f64 -1 (/.f64 (.f64 d b) (.f64 c (pow.f64 a 2)))) (+.f64 (/.f64 1 a) (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) a))) (.f64 -1 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 c 2) (pow.f64 a 3))))) b)) (.f64 c a))))))
(fma.f64 (.f64 d d) (-.f64 (/.f64 1/2 (.f64 a (.f64 c c))) (neg.f64 (/.f64 (.f64 b b) (.f64 (.f64 c c) (pow.f64 a 3))))) (+.f64 (fma.f64 -1 (.f64 (/.f64 d c) (/.f64 b (.f64 a a))) (/.f64 1 a)) (neg.f64 (/.f64 (pow.f64 d 3) (/.f64 (.f64 c a) (.f64 b (-.f64 (/.f64 1/2 (.f64 a (.f64 c c))) (neg.f64 (/.f64 (.f64 b b) (.f64 (*.f64 c c) (pow.f64 a 3)))))))))))
(+.f64 (fma.f64 (.f64 d d) (-.f64 (/.f64 1/2 (.f64 c (.f64 c a))) (/.f64 (.f64 (neg.f64 b) b) (.f64 c (.f64 c (pow.f64 a 3))))) (fma.f64 -1 (.f64 (/.f64 b (.f64 a a)) (/.f64 d c)) (/.f64 1 a))) (neg.f64 (.f64 (/.f64 (pow.f64 d 3) c) (/.f64 b (/.f64 a (-.f64 (/.f64 1/2 (.f64 c (.f64 c a))) (/.f64 (.f64 (neg.f64 b) b) (.f64 c (.f64 c (pow.f64 a 3))))))))))
(/.f64 1 b)
(+.f64 (.f64 -1 (/.f64 (.f64 c a) (*.f64 d (pow.f64 b 2)))) (/.f64 1 b))
(fma.f64 -1 (/.f64 (.f64 c a) (.f64 d (*.f64 b b))) (/.f64 1 b))
(fma.f64 -1 (.f64 (/.f64 a (.f64 b b)) (/.f64 c d)) (/.f64 1 b))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 c a) (.f64 d (pow.f64 b 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (.f64 (pow.f64 d 2) b))) (/.f64 1 b))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 d 2) (pow.f64 b 3)))))
(-.f64 (fma.f64 -1 (/.f64 (.f64 c a) (.f64 d (.f64 b b))) (fma.f64 1/2 (/.f64 (.f64 c c) (.f64 b (.f64 d d))) (/.f64 1 b))) (neg.f64 (/.f64 (.f64 c c) (/.f64 (.f64 (.f64 d d) (pow.f64 b 3)) (.f64 a a)))))
(-.f64 (fma.f64 -1 (.f64 (/.f64 a (.f64 b b)) (/.f64 c d)) (fma.f64 1/2 (/.f64 c (/.f64 (.f64 d (.f64 b d)) c)) (/.f64 1 b))) (/.f64 (neg.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (.f64 d d)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 c a) (.f64 d (pow.f64 b 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (.f64 (pow.f64 d 2) b))) (+.f64 (/.f64 1 b) (.f64 -1 (/.f64 (.f64 c (.f64 a (-.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) b)) (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))) (.f64 (pow.f64 d 3) b)))))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (*.f64 (pow.f64 d 2) (pow.f64 b 3)))))
(-.f64 (fma.f64 -1 (/.f64 (.f64 c a) (.f64 d (.f64 b b))) (+.f64 (fma.f64 1/2 (/.f64 (.f64 c c) (.f64 b (.f64 d d))) (/.f64 1 b)) (neg.f64 (.f64 (/.f64 c (pow.f64 d 3)) (/.f64 (.f64 a (-.f64 (.f64 1/2 (/.f64 (.f64 c c) b)) (neg.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a)))))) b))))) (neg.f64 (/.f64 (.f64 c c) (/.f64 (.f64 (.f64 d d) (pow.f64 b 3)) (.f64 a a)))))
(-.f64 (+.f64 (fma.f64 -1 (.f64 (/.f64 a (.f64 b b)) (/.f64 c d)) (fma.f64 1/2 (/.f64 c (/.f64 (.f64 d (.f64 b d)) c)) (/.f64 1 b))) (neg.f64 (.f64 (/.f64 c (pow.f64 d 3)) (/.f64 (-.f64 (.f64 1/2 (/.f64 c (/.f64 b c))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)))) (/.f64 b a))))) (/.f64 (neg.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3))) (*.f64 d d)))
(/.f64 -1 b)
(-.f64 (/.f64 (.f64 c a) (.f64 d (pow.f64 b 2))) (/.f64 1 b))
(-.f64 (/.f64 (.f64 c a) (.f64 d (*.f64 b b))) (/.f64 1 b))
(-.f64 (.f64 (/.f64 a (.f64 b b)) (/.f64 c d)) (/.f64 1 b))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (.f64 (pow.f64 d 2) b))) (/.f64 (.f64 c a) (.f64 d (pow.f64 b 2)))) (+.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 d 2) (pow.f64 b 3))) (/.f64 1 b)))
(-.f64 (fma.f64 -1/2 (/.f64 (.f64 c c) (.f64 b (.f64 d d))) (/.f64 (.f64 c a) (.f64 d (.f64 b b)))) (+.f64 (/.f64 1 b) (/.f64 (.f64 c c) (/.f64 (.f64 (.f64 d d) (pow.f64 b 3)) (.f64 a a)))))
(-.f64 (fma.f64 -1/2 (/.f64 c (/.f64 (.f64 d (.f64 b d)) c)) (.f64 (/.f64 a (.f64 b b)) (/.f64 c d))) (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (.f64 c a) 2) (.f64 b (pow.f64 (*.f64 b d) 2)))))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (.f64 (pow.f64 d 2) b))) (+.f64 (/.f64 (.f64 c a) (.f64 d (pow.f64 b 2))) (.f64 -1 (/.f64 (.f64 c (.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) b)) (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) a)) (.f64 (pow.f64 d 3) b))))) (+.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (.f64 (pow.f64 d 2) (pow.f64 b 3))) (/.f64 1 b)))
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(.f64 (/.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d))) -1) (hypot.f64 c d))
(/.f64 (pow.f64 (hypot.f64 c d) 2) (neg.f64 (fma.f64 a c (*.f64 b d))))
(pow.f64 (/.f64 (neg.f64 (+.f64 (.f64 a c) (.f64 b d))) (pow.f64 (hypot.f64 c d) 2)) -1)
(.f64 (/.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d))) -1) (hypot.f64 c d))
(/.f64 (pow.f64 (hypot.f64 c d) 2) (neg.f64 (fma.f64 a c (*.f64 b d))))
(neg.f64 (.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (*.f64 b d))) (hypot.f64 c d)))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 a c (*.f64 b d))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d))) (/.f64 -1 (hypot.f64 c d))) 2))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d))) -1) (hypot.f64 c d)) 2))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (neg.f64 (fma.f64 a c (*.f64 b d)))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d)))) (neg.f64 (hypot.f64 c d))))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 a c (*.f64 b d))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d))) (/.f64 -1 (hypot.f64 c d))))))
(.f64 (/.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d))) -1) (hypot.f64 c d))
(/.f64 (pow.f64 (hypot.f64 c d) 2) (neg.f64 (fma.f64 a c (*.f64 b d))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d))) (/.f64 -1 (hypot.f64 c d))) 3))
(.f64 (/.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d))) -1) (hypot.f64 c d))
(/.f64 (pow.f64 (hypot.f64 c d) 2) (neg.f64 (fma.f64 a c (*.f64 b d))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d))) 3) (pow.f64 (/.f64 -1 (hypot.f64 c d)) 3)))
(.f64 (/.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d))) -1) (hypot.f64 c d))
(/.f64 (pow.f64 (hypot.f64 c d) 2) (neg.f64 (fma.f64 a c (*.f64 b d))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d))) (/.f64 -1 (hypot.f64 c d)))))
(.f64 (/.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d))) -1) (hypot.f64 c d))
(/.f64 (pow.f64 (hypot.f64 c d) 2) (neg.f64 (fma.f64 a c (*.f64 b d))))
(exp.f64 (neg.f64 (log.f64 (/.f64 (neg.f64 (+.f64 (.f64 a c) (.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))))
(exp.f64 (neg.f64 (log.f64 (/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))))
(exp.f64 (.f64 (neg.f64 (log.f64 (/.f64 (neg.f64 (+.f64 (.f64 a c) (*.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))) 1))
(exp.f64 (neg.f64 (log.f64 (/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) 2)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d))) (/.f64 -1 (hypot.f64 c d)))))
(.f64 (/.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 b d))) -1) (hypot.f64 c d))
(/.f64 (pow.f64 (hypot.f64 c d) 2) (neg.f64 (fma.f64 a c (*.f64 b d))))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.6b	(.f64 c (/.f64 a (.f64 d d)))
✓	7.2b	(/.f64 a (*.f64 d d))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(/.f64 a (*.f64 d d))
0.0ms	a	@	-inf	(/.f64 a (*.f64 d d))
0.0ms	a	@	0	(/.f64 a (*.f64 d d))
0.0ms	d	@	0	(/.f64 a (*.f64 d d))
0.0ms	d	@	-inf	(.f64 c (/.f64 a (.f64 d d)))

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1792×	`add-sqr-sqrt`
1776×	`*-un-lft-identity`
1654×	`add-cube-cbrt`
1628×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	167	32
2	2296	32

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(/.f64 a (*.f64 d d))
(.f64 c (/.f64 a (.f64 d d)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 a (*.f64 d d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (pow.f64 d -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (*.f64 d d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 a (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) d) (/.f64 (sqrt.f64 a) d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a (*.f64 d d))) (pow.f64 (cbrt.f64 (/.f64 a (*.f64 d d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 a (*.f64 d d))) 2) (cbrt.f64 (/.f64 a (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a d) (/.f64 1 d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 d -2) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) (/.f64 1 (*.f64 d (neg.f64 d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 d) (/.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 d 4))) (/.f64 a (pow.f64 (cbrt.f64 d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (cbrt.f64 (pow.f64 d 4))) (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) d) (/.f64 (cbrt.f64 a) d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 d 4))) (cbrt.f64 (/.f64 a (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 d d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 a) d) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a (*.f64 d d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a (*.f64 d d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 d (/.f64 a d)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (*.f64 d (neg.f64 d))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 a a) (pow.f64 d 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 a (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a (*.f64 d d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 d d))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a (*.f64 d d))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c (/.f64 a (*.f64 d d))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 d (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 d d) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a c) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (/.f64 a d)) d)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (neg.f64 a)) (*.f64 d (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a d) c) d)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a) c) (*.f64 d (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a c) d) d)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a c) 1) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a c) (cbrt.f64 (pow.f64 d 4))) (pow.f64 (cbrt.f64 d) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a c)) (*.f64 d (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (/.f64 a (*.f64 d d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 a c)) d) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c (/.f64 a (*.f64 d d)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (/.f64 a (*.f64 d d))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 c (/.f64 a (*.f64 d d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) (pow.f64 d -2)) c))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c (/.f64 a (*.f64 d d))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (/.f64 a (*.f64 d d))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c (/.f64 a (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c (/.f64 a (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (/.f64 a (*.f64 d d)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c (/.f64 a (*.f64 d d)))))))))

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1338×	`associate-+r-`
1054×	`associate-/l*`
1016×	`times-frac`
888×	`unswap-sqr`
768×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	2003
1	360	1991
2	1410	1985
3	7386	1985

Stop Event

1×	node limit

Counts

117 → 72

Calls

Call 1

Inputs
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a (*.f64 d d)))) 1)
(*.f64 a (pow.f64 d -2))
(.f64 (/.f64 a (.f64 d d)) 1)
(.f64 1 (/.f64 a (.f64 d d)))
(*.f64 (/.f64 (sqrt.f64 a) d) (/.f64 (sqrt.f64 a) d))
(.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (pow.f64 d -2)))
(.f64 (cbrt.f64 (/.f64 a (.f64 d d))) (pow.f64 (cbrt.f64 (/.f64 a (*.f64 d d))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 a (.f64 d d))) 2) (cbrt.f64 (/.f64 a (*.f64 d d))))
(.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (pow.f64 d -2)))
(*.f64 (/.f64 a d) (/.f64 1 d))
(*.f64 (pow.f64 d -2) a)
(.f64 (neg.f64 a) (/.f64 1 (.f64 d (neg.f64 d))))
(*.f64 (/.f64 1 d) (/.f64 a d))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 d 4))) (/.f64 a (pow.f64 (cbrt.f64 d) 2)))
(.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (.f64 d d)))
(*.f64 (/.f64 (sqrt.f64 a) (cbrt.f64 (pow.f64 d 4))) (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 d) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) d) (/.f64 (cbrt.f64 a) d))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (.f64 d d)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 d 4))) (cbrt.f64 (/.f64 a (.f64 d d))))
(pow.f64 (/.f64 a (*.f64 d d)) 1)
(pow.f64 (/.f64 (sqrt.f64 a) d) 2)
(pow.f64 (cbrt.f64 (/.f64 a (*.f64 d d))) 3)
(pow.f64 (pow.f64 (/.f64 a (*.f64 d d)) 3) 1/3)
(pow.f64 (/.f64 d (/.f64 a d)) -1)
(neg.f64 (/.f64 a (*.f64 d (neg.f64 d))))
(sqrt.f64 (/.f64 (*.f64 a a) (pow.f64 d 4)))
(log.f64 (pow.f64 (exp.f64 a) (pow.f64 d -2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a (*.f64 d d)))))
(cbrt.f64 (pow.f64 (/.f64 a (*.f64 d d)) 3))
(expm1.f64 (log1p.f64 (/.f64 a (*.f64 d d))))
(exp.f64 (log.f64 (/.f64 a (*.f64 d d))))
(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 d d))) 1))
(log1p.f64 (expm1.f64 (/.f64 a (*.f64 d d))))
(-.f64 (exp.f64 (log1p.f64 (.f64 c (/.f64 a (.f64 d d))))) 1)
(/.f64 c (/.f64 d (/.f64 a d)))
(/.f64 1 (/.f64 (.f64 d d) (.f64 a c)))
(/.f64 (.f64 a c) (.f64 d d))
(/.f64 (*.f64 c (/.f64 a d)) d)
(/.f64 (.f64 c (neg.f64 a)) (.f64 d (neg.f64 d)))
(/.f64 (*.f64 (/.f64 a d) c) d)
(/.f64 (.f64 (neg.f64 a) c) (.f64 d (neg.f64 d)))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (.f64 a c) 1) (.f64 d d))
(/.f64 (/.f64 (*.f64 a c) (cbrt.f64 (pow.f64 d 4))) (pow.f64 (cbrt.f64 d) 2))
(/.f64 (neg.f64 (.f64 a c)) (.f64 d (neg.f64 d)))
(pow.f64 (.f64 c (/.f64 a (.f64 d d))) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 a c)) d) 2)
(pow.f64 (cbrt.f64 (.f64 c (/.f64 a (.f64 d d)))) 3)
(pow.f64 (pow.f64 (.f64 c (/.f64 a (.f64 d d))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 c (/.f64 a (.f64 d d))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a) (pow.f64 d -2)) c))
(log.f64 (+.f64 1 (expm1.f64 (.f64 c (/.f64 a (.f64 d d))))))
(cbrt.f64 (pow.f64 (.f64 c (/.f64 a (.f64 d d))) 3))
(expm1.f64 (log1p.f64 (.f64 c (/.f64 a (.f64 d d)))))
(exp.f64 (log.f64 (.f64 c (/.f64 a (.f64 d d)))))
(exp.f64 (.f64 (log.f64 (.f64 c (/.f64 a (*.f64 d d)))) 1))
(log1p.f64 (expm1.f64 (.f64 c (/.f64 a (.f64 d d)))))

Outputs
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(*.f64 a (pow.f64 d -2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(*.f64 a (pow.f64 d -2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(*.f64 a (pow.f64 d -2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(*.f64 a (pow.f64 d -2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(*.f64 a (pow.f64 d -2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(*.f64 a (pow.f64 d -2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(*.f64 a (pow.f64 d -2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(*.f64 a (pow.f64 d -2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(*.f64 a (pow.f64 d -2))
(/.f64 a (pow.f64 d 2))
(/.f64 a (*.f64 d d))
(*.f64 a (pow.f64 d -2))
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(/.f64 (/.f64 c (/.f64 d a)) d)
(*.f64 (/.f64 a d) (/.f64 c d))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a (*.f64 d d)))) 1)
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(/.f64 a (*.f64 d d))
(.f64 (/.f64 a (.f64 d d)) 1)
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(.f64 1 (/.f64 a (.f64 d d)))
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(.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (pow.f64 d -2)))
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(.f64 (cbrt.f64 (/.f64 a (.f64 d d))) (pow.f64 (cbrt.f64 (/.f64 a (*.f64 d d))) 2))
(/.f64 a (*.f64 d d))
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(.f64 (pow.f64 (cbrt.f64 (/.f64 a (.f64 d d))) 2) (cbrt.f64 (/.f64 a (*.f64 d d))))
(/.f64 a (*.f64 d d))
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(.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (pow.f64 d -2)))
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(.f64 (neg.f64 a) (/.f64 1 (.f64 d (neg.f64 d))))
(/.f64 a (*.f64 d d))
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(*.f64 (/.f64 1 d) (/.f64 a d))
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(/.f64 (/.f64 a (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (pow.f64 d 4)))
(/.f64 a (*.f64 (cbrt.f64 (pow.f64 d 4)) (pow.f64 (cbrt.f64 d) 2)))
(.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (.f64 d d)))
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(*.f64 a (pow.f64 d -2))
(*.f64 (/.f64 (sqrt.f64 a) (cbrt.f64 (pow.f64 d 4))) (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 d) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 d 4))) (/.f64 a (pow.f64 (cbrt.f64 d) 2)))
(/.f64 (/.f64 a (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (pow.f64 d 4)))
(/.f64 a (*.f64 (cbrt.f64 (pow.f64 d 4)) (pow.f64 (cbrt.f64 d) 2)))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (.f64 d d)))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 d 4))) (cbrt.f64 (/.f64 a (.f64 d d))))
(.f64 (cbrt.f64 (/.f64 a (.f64 d d))) (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 d 4))))
(.f64 (cbrt.f64 (.f64 a (pow.f64 d -2))) (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 d 4))))
(pow.f64 (/.f64 a (*.f64 d d)) 1)
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(pow.f64 (/.f64 (sqrt.f64 a) d) 2)
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(pow.f64 (cbrt.f64 (/.f64 a (*.f64 d d))) 3)
(/.f64 a (*.f64 d d))
(*.f64 a (pow.f64 d -2))
(pow.f64 (pow.f64 (/.f64 a (*.f64 d d)) 3) 1/3)
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(pow.f64 (/.f64 d (/.f64 a d)) -1)
(/.f64 a (*.f64 d d))
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(neg.f64 (/.f64 a (*.f64 d (neg.f64 d))))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 a (*.f64 d d)))))
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(*.f64 a (pow.f64 d -2))
(cbrt.f64 (pow.f64 (/.f64 a (*.f64 d d)) 3))
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(exp.f64 (log.f64 (/.f64 a (*.f64 d d))))
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(log1p.f64 (expm1.f64 (/.f64 a (*.f64 d d))))
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(-.f64 (exp.f64 (log1p.f64 (.f64 c (/.f64 a (.f64 d d))))) 1)
(/.f64 c (*.f64 (/.f64 d a) d))
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(/.f64 1 (/.f64 (.f64 d d) (.f64 a c)))
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(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (.f64 c (neg.f64 a)) (.f64 d (neg.f64 d)))
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(/.f64 (.f64 a c) (.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 (pow.f64 d 4))))
(/.f64 (/.f64 (*.f64 a c) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (pow.f64 d 4)))
(/.f64 c (*.f64 (pow.f64 (cbrt.f64 d) 2) (/.f64 (cbrt.f64 (pow.f64 d 4)) a)))
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(*.f64 (/.f64 a d) (/.f64 c d))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 a c)) d) 2)
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(*.f64 (/.f64 a d) (/.f64 c d))
(pow.f64 (pow.f64 (.f64 c (/.f64 a (.f64 d d))) 3) 1/3)
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(sqrt.f64 (pow.f64 (.f64 c (/.f64 a (.f64 d d))) 2))
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(log.f64 (pow.f64 (pow.f64 (exp.f64 a) (pow.f64 d -2)) c))
(/.f64 c (*.f64 (/.f64 d a) d))
(/.f64 (/.f64 c (/.f64 d a)) d)
(*.f64 (/.f64 a d) (/.f64 c d))
(log.f64 (+.f64 1 (expm1.f64 (.f64 c (/.f64 a (.f64 d d))))))
(/.f64 c (*.f64 (/.f64 d a) d))
(/.f64 (/.f64 c (/.f64 d a)) d)
(*.f64 (/.f64 a d) (/.f64 c d))
(cbrt.f64 (pow.f64 (.f64 c (/.f64 a (.f64 d d))) 3))
(/.f64 c (*.f64 (/.f64 d a) d))
(/.f64 (/.f64 c (/.f64 d a)) d)
(*.f64 (/.f64 a d) (/.f64 c d))
(expm1.f64 (log1p.f64 (.f64 c (/.f64 a (.f64 d d)))))
(/.f64 c (*.f64 (/.f64 d a) d))
(/.f64 (/.f64 c (/.f64 d a)) d)
(*.f64 (/.f64 a d) (/.f64 c d))
(exp.f64 (log.f64 (.f64 c (/.f64 a (.f64 d d)))))
(/.f64 c (*.f64 (/.f64 d a) d))
(/.f64 (/.f64 c (/.f64 d a)) d)
(*.f64 (/.f64 a d) (/.f64 c d))
(exp.f64 (.f64 (log.f64 (.f64 c (/.f64 a (*.f64 d d)))) 1))
(/.f64 c (*.f64 (/.f64 d a) d))
(/.f64 (/.f64 c (/.f64 d a)) d)
(*.f64 (/.f64 a d) (/.f64 c d))
(log1p.f64 (expm1.f64 (.f64 c (/.f64 a (.f64 d d)))))
(/.f64 c (*.f64 (/.f64 d a) d))
(/.f64 (/.f64 c (/.f64 d a)) d)
(*.f64 (/.f64 a d) (/.f64 c d))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.2b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
✓	19.7b	(/.f64 c (+.f64 (.f64 d d) (.f64 c c)))

Compiler

Compiled 40 to 9 computations (77.5% saved)

series6.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	c	@	0	(/.f64 c (+.f64 (.f64 d d) (.f64 c c)))
1.0ms	a	@	inf	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
0.0ms	a	@	0	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
0.0ms	c	@	0	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
0.0ms	c	@	inf	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)

rewrite99.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1334×	`associate-*r/`
1082×	`*-commutative`
1062×	`associate-/r*`
966×	`associate-*l/`
826×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	217	44
2	3069	44

Stop Event

1×	node limit

Counts

2 → 190

Calls

Call 1

Inputs
(/.f64 c (+.f64 (.f64 d d) (.f64 c c)))
(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c (+.f64 (*.f64 d d) (*.f64 c c))) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 (+.f64 (*.f64 d d) (*.f64 c c)) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 (+.f64 (*.f64 d d) (*.f64 c c)) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 c (+.f64 (*.f64 d d) (*.f64 c c))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 d d) (*.f64 c c)) (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 a) (/.f64 (/.f64 (+.f64 (*.f64 d d) (*.f64 c c)) c) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 c) (/.f64 (/.f64 (+.f64 (*.f64 d d) (*.f64 c c)) a) (sqrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 c) (/.f64 (+.f64 (*.f64 d d) (*.f64 c c)) (*.f64 a (sqrt.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 a) (/.f64 (/.f64 (+.f64 (*.f64 d d) (*.f64 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simplify191.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1442×	`associate-/l*`
682×	`times-frac`
616×	`associate-/l/`
538×	`*-commutative`
500×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	549	10448
1	1452	10198
2	6855	10198

Stop Event

1×	node limit

Counts

250 → 317

Calls

Call 1

Inputs
(/.f64 c (pow.f64 d 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (/.f64 c (pow.f64 d 2)))
(+.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (/.f64 c (pow.f64 d 2))))
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(/.f64 (.f64 a (/.f64 c 1)) (+.f64 (.f64 d d) (*.f64 c c)))
(/.f64 (*.f64 a (/.f64 c (hypot.f64 c d))) (hypot.f64 c d))
(/.f64 (.f64 a (/.f64 c (pow.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))) 2))) (cbrt.f64 (+.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (.f64 a -1) (neg.f64 (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) c)))
(/.f64 (.f64 a (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (+.f64 (.f64 d d) (*.f64 c c)))))
(/.f64 (.f64 1 (.f64 a (neg.f64 c))) (neg.f64 (+.f64 (.f64 d d) (.f64 c c))))
(/.f64 (.f64 1 (/.f64 c (/.f64 1 a))) (+.f64 (.f64 d d) (*.f64 c c)))
(/.f64 (.f64 1 (/.f64 (.f64 c a) (hypot.f64 c d))) (hypot.f64 c d))
(/.f64 (.f64 1 (/.f64 c (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))) 2) a))) (cbrt.f64 (+.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (.f64 1 (neg.f64 (.f64 c a))) (neg.f64 (+.f64 (.f64 d d) (.f64 c c))))
(/.f64 (.f64 (/.f64 (sqrt.f64 (.f64 c a)) (hypot.f64 c d)) (sqrt.f64 (*.f64 c a))) (hypot.f64 c d))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) a)) 2) (cbrt.f64 (.f64 c a))) (cbrt.f64 (+.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (.f64 (.f64 c a) (/.f64 1 (hypot.f64 c d))) (hypot.f64 c d))
(/.f64 (.f64 (.f64 c a) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))) 2))) (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))))
(/.f64 (.f64 (.f64 c a) -1) (neg.f64 (+.f64 (.f64 d d) (.f64 c c))))
(/.f64 (.f64 (.f64 a (/.f64 (sqrt.f64 c) (hypot.f64 c d))) 1) (sqrt.f64 (/.f64 (+.f64 (.f64 d d) (.f64 c c)) c)))
(/.f64 (.f64 (.f64 a (/.f64 (sqrt.f64 c) (hypot.f64 c d))) (sqrt.f64 c)) (hypot.f64 c d))
(/.f64 (.f64 (.f64 a (/.f64 (sqrt.f64 c) (hypot.f64 c d))) (sqrt.f64 (neg.f64 c))) (sqrt.f64 (neg.f64 (+.f64 (.f64 d d) (.f64 c c)))))
(/.f64 (.f64 (.f64 a (pow.f64 (cbrt.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c)))) 2)) 1) (cbrt.f64 (/.f64 (+.f64 (.f64 d d) (.f64 c c)) c)))
(/.f64 (.f64 (.f64 a (pow.f64 (cbrt.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c)))) 2)) (cbrt.f64 c)) (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))))
(/.f64 (.f64 (.f64 a (pow.f64 (cbrt.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c)))) 2)) (cbrt.f64 (neg.f64 c))) (cbrt.f64 (neg.f64 (+.f64 (.f64 d d) (.f64 c c)))))
(/.f64 (.f64 (/.f64 c 1) a) (+.f64 (.f64 d d) (*.f64 c c)))
(/.f64 (*.f64 (/.f64 c (hypot.f64 c d)) a) (hypot.f64 c d))
(/.f64 (.f64 (/.f64 c (pow.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))) 2)) a) (cbrt.f64 (+.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (.f64 (/.f64 c (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) a)) (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (+.f64 (.f64 d d) (*.f64 c c)))
(/.f64 (.f64 (/.f64 c (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) a)) (-.f64 (pow.f64 d 6) (pow.f64 c 6))) (+.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2)))
(/.f64 (.f64 (/.f64 c (/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) a)) (-.f64 (.f64 (pow.f64 d 4) (pow.f64 d 4)) (.f64 (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2)) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2))))) (+.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2)))
(/.f64 (.f64 (/.f64 c (/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) a)) (+.f64 (pow.f64 (pow.f64 d 4) 3) (pow.f64 (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2)) 3))) (+.f64 (.f64 (pow.f64 d 4) (pow.f64 d 4)) (-.f64 (.f64 (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2)) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2))) (.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2))))))
(/.f64 (.f64 -1 a) (neg.f64 (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) c)))
(/.f64 (.f64 (cbrt.f64 (.f64 c c)) a) (/.f64 (+.f64 (.f64 d d) (.f64 c c)) (cbrt.f64 c)))
(/.f64 (.f64 (neg.f64 (neg.f64 c)) a) (neg.f64 (neg.f64 (+.f64 (.f64 d d) (*.f64 c c)))))
(/.f64 (.f64 (.f64 a (neg.f64 c)) 1) (neg.f64 (+.f64 (.f64 d d) (.f64 c c))))
(/.f64 (.f64 (/.f64 c (/.f64 1 a)) 1) (+.f64 (.f64 d d) (*.f64 c c)))
(/.f64 (.f64 (/.f64 (.f64 c a) (hypot.f64 c d)) 1) (hypot.f64 c d))
(/.f64 (.f64 (/.f64 c (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))) 2) a)) 1) (cbrt.f64 (+.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (.f64 (neg.f64 (.f64 c a)) 1) (neg.f64 (+.f64 (.f64 d d) (.f64 c c))))
(/.f64 (.f64 1 (.f64 a (/.f64 (sqrt.f64 c) (hypot.f64 c d)))) (sqrt.f64 (/.f64 (+.f64 (.f64 d d) (.f64 c c)) c)))
(/.f64 (.f64 (sqrt.f64 c) (.f64 a (/.f64 (sqrt.f64 c) (hypot.f64 c d)))) (hypot.f64 c d))
(/.f64 (.f64 (sqrt.f64 (neg.f64 c)) (.f64 a (/.f64 (sqrt.f64 c) (hypot.f64 c d)))) (sqrt.f64 (neg.f64 (+.f64 (.f64 d d) (.f64 c c)))))
(/.f64 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 (sqrt.f64 (*.f64 c a)) (hypot.f64 c d))) (hypot.f64 c d))
(/.f64 (.f64 (cbrt.f64 (.f64 c a)) (pow.f64 (cbrt.f64 (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) a)) 2)) (cbrt.f64 (+.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (*.f64 c (/.f64 a (hypot.f64 c d))) (hypot.f64 c d))
(/.f64 (.f64 c (/.f64 a (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))))) (pow.f64 (cbrt.f64 (+.f64 (.f64 d d) (*.f64 c c))) 2))
(/.f64 (.f64 (.f64 c a) (-.f64 (.f64 d d) (.f64 c c))) (-.f64 (pow.f64 d 4) (pow.f64 c 4)))
(/.f64 (.f64 (.f64 c a) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 c d) 2))) (+.f64 (pow.f64 d 6) (pow.f64 c 6)))
(/.f64 (/.f64 a 1) (/.f64 (+.f64 (.f64 d d) (.f64 c c)) c))
(/.f64 (/.f64 (.f64 c a) (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c)))) (pow.f64 (cbrt.f64 (+.f64 (.f64 d d) (*.f64 c c))) 2))
(/.f64 (/.f64 a (.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 d d) (.f64 c c)) c)) (cbrt.f64 (/.f64 (+.f64 (.f64 d d) (.f64 c c)) c)))) (cbrt.f64 (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) c)))
(/.f64 (/.f64 a (/.f64 1 (sqrt.f64 c))) (/.f64 (+.f64 (.f64 d d) (.f64 c c)) (sqrt.f64 c)))
(/.f64 (/.f64 a (/.f64 1 (cbrt.f64 (.f64 c c)))) (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) (cbrt.f64 c)))
(/.f64 (/.f64 a (/.f64 (hypot.f64 c d) (sqrt.f64 c))) (/.f64 (hypot.f64 c d) (sqrt.f64 c)))
(/.f64 (/.f64 a (/.f64 (hypot.f64 c d) (cbrt.f64 (*.f64 c c)))) (/.f64 (hypot.f64 c d) (cbrt.f64 c)))
(/.f64 (/.f64 a (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))) 2) 1)) (/.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))) c))
(/.f64 (/.f64 a (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))) 2) (sqrt.f64 c))) (/.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))) (sqrt.f64 c)))
(/.f64 (/.f64 a (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))) 2) (cbrt.f64 (.f64 c c)))) (/.f64 (cbrt.f64 (+.f64 (.f64 d d) (*.f64 c c))) (cbrt.f64 c)))
(/.f64 (/.f64 (.f64 a (neg.f64 c)) 1) (neg.f64 (+.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (/.f64 (*.f64 a (neg.f64 c)) (hypot.f64 c d)) (neg.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (.f64 a (neg.f64 c)) (pow.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))) 2)) (neg.f64 (cbrt.f64 (+.f64 (.f64 d d) (*.f64 c c)))))
(/.f64 (/.f64 (.f64 a (neg.f64 c)) (sqrt.f64 (neg.f64 (+.f64 (.f64 d d) (.f64 c c))))) (sqrt.f64 (neg.f64 (+.f64 (.f64 d d) (*.f64 c c)))))
(/.f64 (/.f64 (.f64 a (neg.f64 c)) (.f64 (cbrt.f64 (neg.f64 (+.f64 (.f64 d d) (.f64 c c)))) (cbrt.f64 (neg.f64 (+.f64 (.f64 d d) (.f64 c c)))))) (cbrt.f64 (neg.f64 (+.f64 (.f64 d d) (.f64 c c)))))
(/.f64 (/.f64 (.f64 a (neg.f64 c)) -1) (+.f64 (.f64 d d) (*.f64 c c)))
(/.f64 (/.f64 (*.f64 a (neg.f64 c)) (neg.f64 (hypot.f64 c d))) (hypot.f64 c d))
(/.f64 (/.f64 (.f64 a (neg.f64 c)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))) 2))) (cbrt.f64 (+.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (/.f64 (/.f64 c (/.f64 1 a)) 1) (+.f64 (.f64 d d) (.f64 c c)))
(/.f64 (/.f64 (/.f64 c (/.f64 1 a)) (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c)))) (pow.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))) 2))
(/.f64 (/.f64 (/.f64 (*.f64 c a) (hypot.f64 c d)) 1) (hypot.f64 c d))
(/.f64 (/.f64 (/.f64 (.f64 c a) (hypot.f64 c d)) (cbrt.f64 (+.f64 (.f64 d d) (*.f64 c c)))) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (/.f64 (*.f64 c a) (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (/.f64 (.f64 c a) (hypot.f64 c d)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 d d) (*.f64 c c)))))
(/.f64 (/.f64 (/.f64 c (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))) 2) a)) 1) (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))))
(/.f64 (/.f64 (/.f64 c (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))) 2) a)) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c)))))
(/.f64 (/.f64 (/.f64 c (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))) 2) a)) (cbrt.f64 (hypot.f64 c d))) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (/.f64 c (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))) 2) a)) (.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c)))) (cbrt.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c)))))) (cbrt.f64 (cbrt.f64 (+.f64 (.f64 d d) (*.f64 c c)))))
(/.f64 (/.f64 (/.f64 c (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))) 2) a)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c)))))
(/.f64 (/.f64 (neg.f64 (.f64 c a)) 1) (neg.f64 (+.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (/.f64 (neg.f64 (*.f64 c a)) (hypot.f64 c d)) (neg.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (neg.f64 (.f64 c a)) (pow.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))) 2)) (neg.f64 (cbrt.f64 (+.f64 (.f64 d d) (*.f64 c c)))))
(/.f64 (/.f64 (neg.f64 (.f64 c a)) (sqrt.f64 (neg.f64 (+.f64 (.f64 d d) (.f64 c c))))) (sqrt.f64 (neg.f64 (+.f64 (.f64 d d) (*.f64 c c)))))
(/.f64 (/.f64 (neg.f64 (.f64 c a)) (.f64 (cbrt.f64 (neg.f64 (+.f64 (.f64 d d) (.f64 c c)))) (cbrt.f64 (neg.f64 (+.f64 (.f64 d d) (.f64 c c)))))) (cbrt.f64 (neg.f64 (+.f64 (.f64 d d) (.f64 c c)))))
(/.f64 (/.f64 (neg.f64 (.f64 c a)) -1) (+.f64 (.f64 d d) (*.f64 c c)))
(/.f64 (/.f64 (neg.f64 (*.f64 c a)) (neg.f64 (hypot.f64 c d))) (hypot.f64 c d))
(/.f64 (/.f64 (neg.f64 (.f64 c a)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))) 2))) (cbrt.f64 (+.f64 (.f64 d d) (*.f64 c c))))
(pow.f64 (.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (hypot.f64 c d)) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c)))) a))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)))
(exp.f64 (log.f64 (.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)))
(log1p.f64 (expm1.f64 (.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)))

Outputs
(/.f64 c (pow.f64 d 2))
(/.f64 c (*.f64 d d))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (/.f64 c (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) (/.f64 c (*.f64 d d)))
(-.f64 (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))
(+.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (/.f64 c (pow.f64 d 2))))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) (/.f64 c (*.f64 d d))) (/.f64 (pow.f64 c 5) (pow.f64 d 6)))
(+.f64 (/.f64 c (*.f64 d d)) (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 c 7) (pow.f64 d 8))) (+.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (/.f64 c (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (pow.f64 c 7) (pow.f64 d 8)) (+.f64 (fma.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) (/.f64 c (*.f64 d d))) (/.f64 (pow.f64 c 5) (pow.f64 d 6))))
(-.f64 (+.f64 (/.f64 c (*.f64 d d)) (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))) (/.f64 (pow.f64 c 7) (pow.f64 d 8)))
(+.f64 (-.f64 (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 7) (pow.f64 d 8))))
(/.f64 1 c)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(fma.f64 -1 (/.f64 (*.f64 d d) (pow.f64 c 3)) (/.f64 1 c))
(-.f64 (/.f64 1 c) (/.f64 d (/.f64 (pow.f64 c 3) d)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 1 c)))
(fma.f64 -1 (/.f64 (*.f64 d d) (pow.f64 c 3)) (+.f64 (/.f64 1 c) (/.f64 (pow.f64 d 4) (pow.f64 c 5))))
(+.f64 (-.f64 (/.f64 1 c) (/.f64 d (/.f64 (pow.f64 c 3) d))) (/.f64 (pow.f64 d 4) (pow.f64 c 5)))
(+.f64 (/.f64 1 c) (-.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 d (/.f64 (pow.f64 c 3) d))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (+.f64 (/.f64 1 c) (.f64 -1 (/.f64 (pow.f64 d 6) (pow.f64 c 7))))))
(fma.f64 -1 (/.f64 (*.f64 d d) (pow.f64 c 3)) (+.f64 (+.f64 (/.f64 1 c) (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (neg.f64 (/.f64 (pow.f64 d 6) (pow.f64 c 7)))))
(-.f64 (+.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (-.f64 (/.f64 1 c) (/.f64 (pow.f64 d 6) (pow.f64 c 7)))) (/.f64 d (/.f64 (pow.f64 c 3) d)))
(+.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (-.f64 (-.f64 (/.f64 1 c) (/.f64 d (/.f64 (pow.f64 c 3) d))) (/.f64 (pow.f64 d 6) (pow.f64 c 7))))
(/.f64 1 c)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(fma.f64 -1 (/.f64 (*.f64 d d) (pow.f64 c 3)) (/.f64 1 c))
(-.f64 (/.f64 1 c) (/.f64 d (/.f64 (pow.f64 c 3) d)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 1 c)))
(fma.f64 -1 (/.f64 (*.f64 d d) (pow.f64 c 3)) (+.f64 (/.f64 1 c) (/.f64 (pow.f64 d 4) (pow.f64 c 5))))
(+.f64 (-.f64 (/.f64 1 c) (/.f64 d (/.f64 (pow.f64 c 3) d))) (/.f64 (pow.f64 d 4) (pow.f64 c 5)))
(+.f64 (/.f64 1 c) (-.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 d (/.f64 (pow.f64 c 3) d))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (+.f64 (/.f64 1 c) (.f64 -1 (/.f64 (pow.f64 d 6) (pow.f64 c 7))))))
(fma.f64 -1 (/.f64 (*.f64 d d) (pow.f64 c 3)) (+.f64 (+.f64 (/.f64 1 c) (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (neg.f64 (/.f64 (pow.f64 d 6) (pow.f64 c 7)))))
(-.f64 (+.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (-.f64 (/.f64 1 c) (/.f64 (pow.f64 d 6) (pow.f64 c 7)))) (/.f64 d (/.f64 (pow.f64 c 3) d)))
(+.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (-.f64 (-.f64 (/.f64 1 c) (/.f64 d (/.f64 (pow.f64 c 3) d))) (/.f64 (pow.f64 d 6) (pow.f64 c 7))))
(/.f64 1 c)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(fma.f64 -1 (/.f64 (*.f64 d d) (pow.f64 c 3)) (/.f64 1 c))
(-.f64 (/.f64 1 c) (/.f64 d (/.f64 (pow.f64 c 3) d)))
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(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (/.f64 (neg.f64 (.f64 c a)) (sqrt.f64 (neg.f64 (+.f64 (.f64 d d) (.f64 c c))))) (sqrt.f64 (neg.f64 (+.f64 (.f64 d d) (*.f64 c c)))))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c)
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (/.f64 (neg.f64 (.f64 c a)) (.f64 (cbrt.f64 (neg.f64 (+.f64 (.f64 d d) (.f64 c c)))) (cbrt.f64 (neg.f64 (+.f64 (.f64 d d) (.f64 c c)))))) (cbrt.f64 (neg.f64 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c)
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (/.f64 (neg.f64 (.f64 c a)) -1) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c)
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (/.f64 (neg.f64 (*.f64 c a)) (neg.f64 (hypot.f64 c d))) (hypot.f64 c d))
(/.f64 c (/.f64 (hypot.f64 c d) (/.f64 a (hypot.f64 c d))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 c) (hypot.f64 c d)) 2) a)
(/.f64 (/.f64 (neg.f64 (.f64 c a)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 d d) (.f64 c c))) 2))) (cbrt.f64 (+.f64 (.f64 d d) (*.f64 c c))))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c)
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(pow.f64 (.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a) 1)
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c)
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (hypot.f64 c d)) 2)
(/.f64 c (/.f64 (hypot.f64 c d) (/.f64 a (hypot.f64 c d))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 c) (hypot.f64 c d)) 2) a)
(pow.f64 (cbrt.f64 (.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)) 3)
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c)
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(pow.f64 (pow.f64 (.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a) 3) 1/3)
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c)
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a) 2))
(sqrt.f64 (pow.f64 (.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c) 2))
(fabs.f64 (.f64 c (/.f64 a (fma.f64 c c (.f64 d d)))))
(log.f64 (pow.f64 (exp.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c)))) a))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c)
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a))))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c)
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a) 3))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c)
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) 3) (pow.f64 a 3)))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c)
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c)
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(exp.f64 (log.f64 (.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c)
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c)
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.2b	(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
✓	8.1b	(/.f64 (.f64 c a) (.f64 d d))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series6.0ms (0%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
0.0ms	c	@	0	(/.f64 (.f64 c a) (.f64 d d))
0.0ms	d	@	inf	(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
0.0ms	c	@	-inf	(/.f64 (.f64 c a) (.f64 d d))
0.0ms	c	@	inf	(/.f64 (.f64 c a) (.f64 d d))

rewrite99.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

734×	`associate-/r/`
682×	`distribute-lft-neg-in`
616×	`distribute-rgt-in`
578×	`distribute-lft-in`
514×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	251	46
2	4201	46

Stop Event

1×	node limit

Counts

2 → 162

Calls

Call 1

Inputs
(/.f64 (.f64 c a) (.f64 d d))
(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 c a) (*.f64 d d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 a (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 (pow.f64 d -2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 c (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c a) (pow.f64 d -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c a) (*.f64 d d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 c a) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 c a)) d) (/.f64 (sqrt.f64 (*.f64 c a)) d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 (*.f64 c a)) (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 c a) (*.f64 d d))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 c a) (*.f64 d d))) 2))))) (#(struct:change #<rule egg-rr> 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(*.f64 d d) (sqrt.f64 (*.f64 c a)))) (sqrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 d d) (pow.f64 (cbrt.f64 (*.f64 c a)) 2))) (cbrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (/.f64 d (/.f64 a d))) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (*.f64 d d)) (cbrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 d (/.f64 a d))) (cbrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 c a) (*.f64 d d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) d) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 c a) (*.f64 d d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 d (*.f64 (/.f64 a d) c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 c a) (*.f64 d d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 c a) (*.f64 d (neg.f64 d))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 d 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 c d)) (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 c a) (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 c a) (*.f64 d d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 c a) (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 c a) (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 c a) (*.f64 d d))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 c a) (*.f64 d d))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (*.f64 d d))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b d))) (-.f64 1 (/.f64 (*.f64 c a) (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 c a) (*.f64 d d)))) (-.f64 1 (/.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (pow.f64 (/.f64 b d) 2) (-.f64 b (*.f64 (/.f64 a d) c))) d) (/.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 d 4)) (/.f64 (-.f64 b (*.f64 (/.f64 a d) c)) d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 c a) (*.f64 d d)) (exp.f64 (log1p.f64 (/.f64 b d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b d) (exp.f64 (log1p.f64 (/.f64 (*.f64 c a) (*.f64 d d))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (*.f64 d d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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((x fma.f64 (*.f64 c a) (pow.f64 d -2) (/.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.f64 1 d) (/.f64 (*.f64 c a) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 c a) (*.f64 d d)) (/.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 b d) (/.f64 (*.f64 c a) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 c a)) d) (/.f64 (sqrt.f64 (*.f64 c a)) d) (/.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)) (/.f64 (*.f64 c a) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 c a) (*.f64 d d))) 2) (cbrt.f64 (/.f64 (*.f64 c a) (*.f64 d d))) (/.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (cbrt.f64 (/.f64 b d)) (/.f64 (*.f64 c a) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))))

simplify214.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1042×	`associate-r`
818×	`associate-l`
702×	`*-commutative`
620×	`+-commutative`
576×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	496	10434
1	1568	9382
2	7586	9382

Stop Event

1×	node limit

Counts

246 → 260

Calls

Call 1

Inputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 c a) (.f64 d d)))) 1)
(.f64 c (.f64 a (pow.f64 d -2)))
(.f64 c (.f64 (pow.f64 d -2) a))
(.f64 a (.f64 c (pow.f64 d -2)))
(.f64 (.f64 c a) (pow.f64 d -2))
(.f64 (/.f64 (.f64 c a) (*.f64 d d)) 1)
(.f64 1 (/.f64 (.f64 c a) (*.f64 d d)))
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) d) (/.f64 (sqrt.f64 (*.f64 c a)) d))
(.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 (.f64 c a)) (pow.f64 d -2)))
(.f64 (cbrt.f64 (/.f64 (.f64 c a) (.f64 d d))) (pow.f64 (cbrt.f64 (/.f64 (.f64 c a) (*.f64 d d))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 c a) (.f64 d d))) 2) (cbrt.f64 (/.f64 (.f64 c a) (*.f64 d d))))
(.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 (cbrt.f64 (.f64 c a)) (pow.f64 d -2)))
(.f64 (.f64 (/.f64 a d) c) (/.f64 1 d))
(.f64 (/.f64 1 d) (.f64 (/.f64 a d) c))
(.f64 (pow.f64 d -2) (.f64 c a))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 (/.f64 a d) (/.f64 c d))
(.f64 (.f64 c (neg.f64 a)) (/.f64 1 (*.f64 d (neg.f64 d))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 d 4))) (/.f64 (.f64 c a) (pow.f64 (cbrt.f64 d) 2)))
(.f64 (/.f64 c 1) (/.f64 a (.f64 d d)))
(.f64 (/.f64 a 1) (/.f64 c (.f64 d d)))
(.f64 (/.f64 a (.f64 d d)) c)
(.f64 (/.f64 c (.f64 d d)) a)
(.f64 (.f64 (pow.f64 d -2) a) c)
(.f64 (/.f64 1 (.f64 d (neg.f64 d))) (*.f64 c (neg.f64 a)))
(*.f64 (/.f64 c (cbrt.f64 (pow.f64 d 4))) (/.f64 a (pow.f64 (cbrt.f64 d) 2)))
(*.f64 (/.f64 a (cbrt.f64 (pow.f64 d 4))) (/.f64 c (pow.f64 (cbrt.f64 d) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) 1) (/.f64 (sqrt.f64 (.f64 c a)) (.f64 d d)))
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) (.f64 d d)) (sqrt.f64 (.f64 c a)))
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) (cbrt.f64 (pow.f64 d 4))) (/.f64 (sqrt.f64 (*.f64 c a)) (pow.f64 (cbrt.f64 d) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) d) (/.f64 (cbrt.f64 (*.f64 c a)) d))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) 1) (/.f64 (cbrt.f64 (.f64 c a)) (.f64 d d)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) (cbrt.f64 (pow.f64 d 4))) (cbrt.f64 (/.f64 (.f64 c a) (.f64 d d))))
(.f64 (/.f64 c (.f64 d (neg.f64 d))) (neg.f64 a))
(.f64 (/.f64 c (/.f64 (.f64 d d) 1)) a)
(.f64 (/.f64 c (/.f64 (.f64 d d) (sqrt.f64 a))) (sqrt.f64 a))
(.f64 (/.f64 c (/.f64 (.f64 d d) (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(.f64 (/.f64 1 (/.f64 (.f64 d d) c)) a)
(.f64 (/.f64 1 (/.f64 (.f64 d d) (sqrt.f64 (.f64 c a)))) (sqrt.f64 (.f64 c a)))
(.f64 (/.f64 1 (/.f64 (.f64 d d) (pow.f64 (cbrt.f64 (.f64 c a)) 2))) (cbrt.f64 (.f64 c a)))
(*.f64 (/.f64 (sqrt.f64 c) (/.f64 d (/.f64 a d))) (sqrt.f64 c))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 d d)) (cbrt.f64 (.f64 c a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (/.f64 d (/.f64 a d))) (cbrt.f64 c))
(pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) d) 2)
(pow.f64 (cbrt.f64 (/.f64 (.f64 c a) (.f64 d d))) 3)
(pow.f64 (/.f64 d (*.f64 (/.f64 a d) c)) -1)
(pow.f64 (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 3) 1/3)
(neg.f64 (/.f64 (.f64 c a) (.f64 d (neg.f64 d))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 d 4)))
(log.f64 (pow.f64 (exp.f64 (/.f64 c d)) (/.f64 a d)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 c a) (.f64 d d)))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 3))
(expm1.f64 (log1p.f64 (/.f64 (.f64 c a) (.f64 d d))))
(exp.f64 (log.f64 (/.f64 (.f64 c a) (.f64 d d))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 c a) (*.f64 d d))) 1))
(log1p.f64 (expm1.f64 (/.f64 (.f64 c a) (.f64 d d))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d))))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 b d))) (-.f64 1 (/.f64 (.f64 c a) (.f64 d d))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 c a) (.f64 d d)))) (-.f64 1 (/.f64 b d)))
(-.f64 (.f64 (/.f64 (pow.f64 (/.f64 b d) 2) (-.f64 b (.f64 (/.f64 a d) c))) d) (/.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4)) (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d)))
(-.f64 (+.f64 (/.f64 (.f64 c a) (.f64 d d)) (exp.f64 (log1p.f64 (/.f64 b d)))) 1)
(-.f64 (+.f64 (/.f64 b d) (exp.f64 (log1p.f64 (/.f64 (.f64 c a) (.f64 d d))))) 1)
(.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (*.f64 d d))) 1)
(.f64 1 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (*.f64 d d))))
(.f64 (sqrt.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))) (sqrt.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (*.f64 d d)))))
(.f64 (cbrt.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (*.f64 d d)))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))) 2) (cbrt.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (*.f64 d d)))))
(.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4))) (.f64 (/.f64 1 (-.f64 b (.f64 (/.f64 a d) c))) d))
(.f64 (/.f64 1 d) (+.f64 (.f64 (/.f64 a d) c) b))
(.f64 (/.f64 1 d) (+.f64 b (.f64 (/.f64 a d) c)))
(.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 3)) (/.f64 1 (+.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4)) (.f64 (/.f64 b d) (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d)))))
(.f64 (.f64 d (+.f64 (.f64 b d) (.f64 c a))) (/.f64 1 (pow.f64 d 3)))
(.f64 (.f64 (/.f64 1 (-.f64 b (.f64 (/.f64 a d) c))) d) (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4))))
(.f64 (/.f64 1 (+.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4)) (.f64 (/.f64 b d) (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d)))) (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 3)))
(.f64 (/.f64 1 (pow.f64 d 3)) (.f64 d (+.f64 (.f64 b d) (.f64 c a))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4))) (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4)))) (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (*.f64 d d))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4))) (.f64 d (-.f64 (.f64 b d) (*.f64 c a)))) (pow.f64 d 3))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4))) (-.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 3))) (+.f64 (pow.f64 (/.f64 b d) 2) (.f64 (/.f64 (.f64 c a) (.f64 d d)) (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (*.f64 d d))))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4))) (-.f64 b (*.f64 (/.f64 a d) c))) d)
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4))) (-.f64 (.f64 b (/.f64 d (/.f64 a d))) (.f64 d c))) (*.f64 d (/.f64 d (/.f64 a d))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4))) (-.f64 (.f64 b (/.f64 d (.f64 (/.f64 a d) c))) d)) (.f64 d (/.f64 d (.f64 (/.f64 a d) c))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4))) (-.f64 (.f64 b d) (.f64 d (.f64 (/.f64 a d) c)))) (.f64 d d))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4))) (-.f64 (.f64 b (.f64 d (neg.f64 d))) (.f64 d (.f64 c (neg.f64 a))))) (.f64 d (.f64 d (neg.f64 d))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4))) (-.f64 (/.f64 d (/.f64 a d)) (.f64 (/.f64 d b) c))) (.f64 (/.f64 d b) (/.f64 d (/.f64 a d))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4))) (-.f64 (.f64 d d) (.f64 (/.f64 d b) (.f64 c a)))) (.f64 (/.f64 d b) (*.f64 d d)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4))) (-.f64 (/.f64 d (.f64 (/.f64 a d) c)) (.f64 (/.f64 d b) 1))) (.f64 (/.f64 d b) (/.f64 d (.f64 (/.f64 a d) c))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4))) (-.f64 d (.f64 (/.f64 d b) (.f64 (/.f64 a d) c)))) (*.f64 (/.f64 d b) d))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4))) (-.f64 (.f64 d (neg.f64 d)) (.f64 (/.f64 d b) (.f64 c (neg.f64 a))))) (.f64 (/.f64 d b) (*.f64 d (neg.f64 d))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4))) (-.f64 (.f64 (neg.f64 b) (/.f64 d (/.f64 a d))) (.f64 (neg.f64 d) c))) (*.f64 (neg.f64 d) (/.f64 d (/.f64 a d))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4))) (-.f64 (.f64 (neg.f64 b) (.f64 d d)) (.f64 (neg.f64 d) (.f64 c a)))) (neg.f64 (pow.f64 d 3)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4))) (-.f64 (.f64 (neg.f64 b) (/.f64 d (.f64 (/.f64 a d) c))) (neg.f64 d))) (.f64 (neg.f64 d) (/.f64 d (.f64 (/.f64 a d) c))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4))) (-.f64 (.f64 (neg.f64 b) d) (.f64 (neg.f64 d) (.f64 (/.f64 a d) c)))) (.f64 d (neg.f64 d)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4))) (-.f64 (.f64 (neg.f64 b) (.f64 d (neg.f64 d))) (.f64 (neg.f64 d) (.f64 c (neg.f64 a))))) (.f64 (neg.f64 d) (.f64 d (neg.f64 d))))
(.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 3)) (-.f64 (.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 b d) 2)) (.f64 (.f64 (/.f64 (.f64 c a) (.f64 d d)) (-.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d))) (.f64 (/.f64 (.f64 c a) (.f64 d d)) (-.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d)))))) (-.f64 (pow.f64 (/.f64 b d) 2) (.f64 (/.f64 (.f64 c a) (.f64 d d)) (-.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d)))))
(.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 b d) 2) 3) (pow.f64 (.f64 (/.f64 (.f64 c a) (.f64 d d)) (-.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d))) 3))) (+.f64 (.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 b d) 2)) (.f64 (.f64 (/.f64 (.f64 c a) (.f64 d d)) (-.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d))) (-.f64 (.f64 (/.f64 (.f64 c a) (.f64 d d)) (-.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d))) (pow.f64 (/.f64 b d) 2)))))
(/.f64 1 (/.f64 (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d) (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4)))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4)) (.f64 (/.f64 b d) (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d))) (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 (.f64 c a) (*.f64 d d)) 3))))
(/.f64 1 (/.f64 (pow.f64 d 3) (.f64 d (+.f64 (.f64 b d) (*.f64 c a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4))) (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d))
(/.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 3)) (+.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4)) (.f64 (/.f64 b d) (/.f64 (-.f64 b (*.f64 (/.f64 a d) c)) d))))
(/.f64 (.f64 d (+.f64 (.f64 b d) (*.f64 c a))) (pow.f64 d 3))
(/.f64 (/.f64 (.f64 d (+.f64 (.f64 b d) (.f64 c a))) d) (.f64 d d))
(/.f64 (-.f64 (.f64 (.f64 (.f64 d d) b) (.f64 (.f64 d d) b)) (.f64 (.f64 (.f64 c a) d) (.f64 (.f64 c a) d))) (.f64 (pow.f64 d 3) (.f64 d (-.f64 (.f64 b d) (.f64 c a)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4)) (pow.f64 (/.f64 b d) 2)) (-.f64 (/.f64 (.f64 c a) (*.f64 d d)) (/.f64 b d)))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 b d) 3)) (.f64 (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 3) (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 3))) (.f64 (+.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4)) (.f64 (/.f64 b d) (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d))) (-.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 b d) 2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4)) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4)))) (.f64 (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d) (+.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 d 4)) (pow.f64 (/.f64 b d) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 d d) b) 3) (pow.f64 (.f64 (.f64 c a) d) 3)) (.f64 (pow.f64 d 3) (+.f64 (.f64 (.f64 (.f64 d d) b) (.f64 (.f64 d d) b)) (.f64 (.f64 (.f64 c a) d) (-.f64 (.f64 (.f64 c a) d) (.f64 (*.f64 d d) b))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b d) 3) 3) (pow.f64 (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 3) 3)) (.f64 (+.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4)) (.f64 (/.f64 b d) (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d))) (+.f64 (.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 b d) 3)) (.f64 (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 3) (-.f64 (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 3) (pow.f64 (/.f64 b d) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 b d) 2) 3) (pow.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4)) 3)) (.f64 (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d) (+.f64 (.f64 (pow.f64 (/.f64 b d) 2) (pow.f64 (/.f64 b d) 2)) (.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4)) (+.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 d 4)) (pow.f64 (/.f64 b d) 2))))))
(/.f64 (+.f64 (.f64 c d) (.f64 (/.f64 d (/.f64 a d)) b)) (*.f64 (/.f64 d (/.f64 a d)) d))
(/.f64 (+.f64 (.f64 c (/.f64 d b)) (.f64 (/.f64 d (/.f64 a d)) 1)) (*.f64 (/.f64 d (/.f64 a d)) (/.f64 d b)))
(/.f64 (+.f64 (.f64 c (neg.f64 d)) (.f64 (/.f64 d (/.f64 a d)) (neg.f64 b))) (*.f64 (/.f64 d (/.f64 a d)) (neg.f64 d)))
(/.f64 (+.f64 (.f64 d d) (.f64 (.f64 c a) (/.f64 d b))) (.f64 (*.f64 d d) (/.f64 d b)))
(/.f64 (+.f64 (.f64 (.f64 c a) (neg.f64 d)) (.f64 (.f64 d d) (neg.f64 b))) (.f64 (.f64 d d) (neg.f64 d)))
(/.f64 (+.f64 d (.f64 (/.f64 d (.f64 (/.f64 a d) c)) b)) (.f64 (/.f64 d (.f64 (/.f64 a d) c)) d))
(/.f64 (+.f64 (/.f64 d b) (.f64 (/.f64 d (.f64 (/.f64 a d) c)) 1)) (.f64 (/.f64 d (.f64 (/.f64 a d) c)) (/.f64 d b)))
(/.f64 (+.f64 (neg.f64 d) (.f64 (/.f64 d (.f64 (/.f64 a d) c)) (neg.f64 b))) (.f64 (/.f64 d (.f64 (/.f64 a d) c)) (neg.f64 d)))
(/.f64 (+.f64 (.f64 (.f64 (/.f64 a d) c) d) (.f64 d b)) (.f64 d d))
(/.f64 (+.f64 d (.f64 (.f64 (/.f64 a d) c) (/.f64 d b))) (*.f64 d (/.f64 d b)))
(/.f64 (+.f64 (.f64 (.f64 (/.f64 a d) c) (neg.f64 d)) (.f64 d (neg.f64 b))) (.f64 d (neg.f64 d)))
(/.f64 (+.f64 (.f64 (.f64 c (neg.f64 a)) d) (.f64 (.f64 d (neg.f64 d)) b)) (neg.f64 (pow.f64 d 3)))
(/.f64 (+.f64 (.f64 d (neg.f64 d)) (.f64 (.f64 c (neg.f64 a)) (/.f64 d b))) (.f64 (*.f64 d (neg.f64 d)) (/.f64 d b)))
(/.f64 (+.f64 (.f64 (.f64 c (neg.f64 a)) (neg.f64 d)) (.f64 (.f64 d (neg.f64 d)) (neg.f64 b))) (.f64 (.f64 d (neg.f64 d)) (neg.f64 d)))
(/.f64 (+.f64 (.f64 d c) (.f64 b (/.f64 d (/.f64 a d)))) (*.f64 d (/.f64 d (/.f64 a d))))
(/.f64 (+.f64 d (.f64 b (/.f64 d (.f64 (/.f64 a d) c)))) (.f64 d (/.f64 d (.f64 (/.f64 a d) c))))
(/.f64 (+.f64 (.f64 b d) (.f64 d (.f64 (/.f64 a d) c))) (.f64 d d))
(/.f64 (+.f64 (.f64 b (.f64 d (neg.f64 d))) (.f64 d (.f64 c (neg.f64 a)))) (.f64 d (.f64 d (neg.f64 d))))
(/.f64 (+.f64 (/.f64 d (/.f64 a d)) (.f64 (/.f64 d b) c)) (.f64 (/.f64 d b) (/.f64 d (/.f64 a d))))
(/.f64 (+.f64 (.f64 d d) (.f64 (/.f64 d b) (.f64 c a))) (.f64 (/.f64 d b) (*.f64 d d)))
(/.f64 (+.f64 (/.f64 d (.f64 (/.f64 a d) c)) (.f64 (/.f64 d b) 1)) (.f64 (/.f64 d b) (/.f64 d (.f64 (/.f64 a d) c))))
(/.f64 (+.f64 d (.f64 (/.f64 d b) (.f64 (/.f64 a d) c))) (*.f64 (/.f64 d b) d))
(/.f64 (+.f64 (.f64 d (neg.f64 d)) (.f64 (/.f64 d b) (.f64 c (neg.f64 a)))) (.f64 (/.f64 d b) (*.f64 d (neg.f64 d))))
(/.f64 (+.f64 (.f64 (neg.f64 b) (/.f64 d (/.f64 a d))) (.f64 (neg.f64 d) c)) (*.f64 (neg.f64 d) (/.f64 d (/.f64 a d))))
(/.f64 (+.f64 (.f64 (neg.f64 b) (.f64 d d)) (.f64 (neg.f64 d) (.f64 c a))) (neg.f64 (pow.f64 d 3)))
(/.f64 (+.f64 (neg.f64 d) (.f64 (neg.f64 b) (/.f64 d (.f64 (/.f64 a d) c)))) (.f64 (neg.f64 d) (/.f64 d (.f64 (/.f64 a d) c))))
(/.f64 (+.f64 (.f64 (neg.f64 b) d) (.f64 (neg.f64 d) (.f64 (/.f64 a d) c))) (.f64 d (neg.f64 d)))
(/.f64 (+.f64 (.f64 (neg.f64 b) (.f64 d (neg.f64 d))) (.f64 (neg.f64 d) (.f64 c (neg.f64 a)))) (.f64 (neg.f64 d) (.f64 d (neg.f64 d))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4)))) (neg.f64 (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 3))) (neg.f64 (+.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4)) (.f64 (/.f64 b d) (/.f64 (-.f64 b (*.f64 (/.f64 a d) c)) d)))))
(/.f64 (neg.f64 (.f64 d (+.f64 (.f64 b d) (*.f64 c a)))) (neg.f64 (pow.f64 d 3)))
(pow.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))))
(exp.f64 (log.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (*.f64 d d)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))))
(fma.f64 (*.f64 c a) (pow.f64 d -2) (/.f64 b d))
(fma.f64 b (/.f64 1 d) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 1 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d))
(fma.f64 1 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (/.f64 (sqrt.f64 (.f64 c a)) d) (/.f64 (sqrt.f64 (.f64 c a)) d) (/.f64 b d))
(fma.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 c a) (.f64 d d))) 2) (cbrt.f64 (/.f64 (.f64 c a) (.f64 d d))) (/.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (cbrt.f64 (/.f64 b d)) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))

Outputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(/.f64 (*.f64 c a) (pow.f64 d 2))
(*.f64 (/.f64 a d) (/.f64 c d))
(/.f64 (/.f64 a (/.f64 d c)) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
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(/.f64 (fma.f64 (neg.f64 b) (.f64 d d) (.f64 c (*.f64 a (neg.f64 d)))) (neg.f64 (pow.f64 d 3)))
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(/.f64 (+.f64 (.f64 d (neg.f64 d)) (.f64 (.f64 c (neg.f64 a)) (/.f64 d b))) (.f64 (*.f64 d (neg.f64 d)) (/.f64 d b)))
(/.f64 (fma.f64 d (neg.f64 d) (.f64 c (.f64 (neg.f64 a) (/.f64 d b)))) (/.f64 (neg.f64 (pow.f64 d 3)) b))
(.f64 (/.f64 (-.f64 (.f64 c (.f64 (neg.f64 a) (/.f64 d b))) (.f64 d d)) (neg.f64 (pow.f64 d 3))) b)
(/.f64 (+.f64 (.f64 (.f64 c (neg.f64 a)) (neg.f64 d)) (.f64 (.f64 d (neg.f64 d)) (neg.f64 b))) (.f64 (.f64 d (neg.f64 d)) (neg.f64 d)))
(.f64 (.f64 (/.f64 1 (pow.f64 d 3)) d) (fma.f64 b d (*.f64 c a)))
(.f64 (fma.f64 c a (.f64 d b)) (/.f64 d (pow.f64 d 3)))
(/.f64 (+.f64 (.f64 d c) (.f64 b (/.f64 d (/.f64 a d)))) (*.f64 d (/.f64 d (/.f64 a d))))
(/.f64 (fma.f64 c d (/.f64 (.f64 d b) (/.f64 a d))) (.f64 d (*.f64 (/.f64 d a) d)))
(.f64 (/.f64 (fma.f64 b (.f64 d (/.f64 d a)) (.f64 c d)) (.f64 d d)) (/.f64 a d))
(/.f64 (+.f64 d (.f64 b (/.f64 d (.f64 (/.f64 a d) c)))) (.f64 d (/.f64 d (.f64 (/.f64 a d) c))))
(/.f64 (+.f64 d (.f64 b (/.f64 d (.f64 c (/.f64 a d))))) (.f64 d (/.f64 d (.f64 c (/.f64 a d)))))
(/.f64 (fma.f64 b (/.f64 d (/.f64 a (/.f64 d c))) d) (/.f64 d (/.f64 (/.f64 a (/.f64 d c)) d)))
(/.f64 (+.f64 (.f64 b d) (.f64 d (.f64 (/.f64 a d) c))) (.f64 d d))
(/.f64 (fma.f64 b d (.f64 (/.f64 a d) (.f64 c d))) (*.f64 d d))
(/.f64 (.f64 d (fma.f64 c (/.f64 a d) b)) (.f64 d d))
(/.f64 (+.f64 (.f64 b (.f64 d (neg.f64 d))) (.f64 d (.f64 c (neg.f64 a)))) (.f64 d (.f64 d (neg.f64 d))))
(/.f64 (fma.f64 (neg.f64 b) (.f64 d d) (.f64 c (*.f64 a (neg.f64 d)))) (neg.f64 (pow.f64 d 3)))
(.f64 1 (.f64 (fma.f64 c a (*.f64 d b)) (/.f64 d (pow.f64 d 3))))
(/.f64 (+.f64 (/.f64 d (/.f64 a d)) (.f64 (/.f64 d b) c)) (.f64 (/.f64 d b) (/.f64 d (/.f64 a d))))
(/.f64 (fma.f64 c (/.f64 d b) (.f64 (/.f64 d a) d)) (/.f64 (.f64 d (/.f64 d b)) (/.f64 a d)))
(/.f64 (fma.f64 c (/.f64 d b) (.f64 d (/.f64 d a))) (.f64 (/.f64 d a) (*.f64 d (/.f64 d b))))
(/.f64 (+.f64 (.f64 d d) (.f64 (/.f64 d b) (.f64 c a))) (.f64 (/.f64 d b) (*.f64 d d)))
(/.f64 (fma.f64 d d (.f64 c (.f64 a (/.f64 d b)))) (/.f64 (pow.f64 d 3) b))
(/.f64 (fma.f64 c (.f64 a (/.f64 d b)) (.f64 d d)) (/.f64 (pow.f64 d 3) b))
(/.f64 (+.f64 (/.f64 d (.f64 (/.f64 a d) c)) (.f64 (/.f64 d b) 1)) (.f64 (/.f64 d b) (/.f64 d (.f64 (/.f64 a d) c))))
(/.f64 (+.f64 (/.f64 d (.f64 c (/.f64 a d))) (/.f64 d b)) (.f64 (/.f64 d (*.f64 c (/.f64 a d))) (/.f64 d b)))
(/.f64 (+.f64 (/.f64 d (/.f64 a (/.f64 d c))) (/.f64 d b)) (*.f64 (/.f64 d (/.f64 a (/.f64 d c))) (/.f64 d b)))
(/.f64 (+.f64 d (.f64 (/.f64 d b) (.f64 (/.f64 a d) c))) (*.f64 (/.f64 d b) d))
(/.f64 (+.f64 d (.f64 (.f64 (/.f64 d b) (/.f64 a d)) c)) (*.f64 d (/.f64 d b)))
(.f64 (/.f64 (fma.f64 (/.f64 a (/.f64 d c)) (/.f64 d b) d) (.f64 d d)) b)
(/.f64 (+.f64 (.f64 d (neg.f64 d)) (.f64 (/.f64 d b) (.f64 c (neg.f64 a)))) (.f64 (/.f64 d b) (*.f64 d (neg.f64 d))))
(/.f64 (fma.f64 d (neg.f64 d) (.f64 c (.f64 (neg.f64 a) (/.f64 d b)))) (/.f64 (neg.f64 (pow.f64 d 3)) b))
(.f64 (/.f64 (-.f64 (.f64 c (.f64 (neg.f64 a) (/.f64 d b))) (.f64 d d)) (neg.f64 (pow.f64 d 3))) b)
(/.f64 (+.f64 (.f64 (neg.f64 b) (/.f64 d (/.f64 a d))) (.f64 (neg.f64 d) c)) (*.f64 (neg.f64 d) (/.f64 d (/.f64 a d))))
(/.f64 (fma.f64 c (neg.f64 d) (/.f64 (.f64 d (neg.f64 b)) (/.f64 a d))) (.f64 (neg.f64 d) (*.f64 (/.f64 d a) d)))
(.f64 (/.f64 (neg.f64 (fma.f64 b (.f64 d (/.f64 d a)) (.f64 c d))) (.f64 d (neg.f64 d))) (/.f64 a d))
(/.f64 (+.f64 (.f64 (neg.f64 b) (.f64 d d)) (.f64 (neg.f64 d) (.f64 c a))) (neg.f64 (pow.f64 d 3)))
(/.f64 (fma.f64 (neg.f64 b) (.f64 d d) (.f64 c (*.f64 a (neg.f64 d)))) (neg.f64 (pow.f64 d 3)))
(.f64 1 (.f64 (fma.f64 c a (*.f64 d b)) (/.f64 d (pow.f64 d 3))))
(/.f64 (+.f64 (neg.f64 d) (.f64 (neg.f64 b) (/.f64 d (.f64 (/.f64 a d) c)))) (.f64 (neg.f64 d) (/.f64 d (.f64 (/.f64 a d) c))))
(/.f64 (+.f64 (neg.f64 d) (.f64 (/.f64 d (.f64 c (/.f64 a d))) (neg.f64 b))) (.f64 (neg.f64 d) (/.f64 d (.f64 c (/.f64 a d)))))
(/.f64 (neg.f64 (fma.f64 b (/.f64 d (/.f64 a (/.f64 d c))) d)) (*.f64 d (neg.f64 (/.f64 d (/.f64 a (/.f64 d c))))))
(/.f64 (+.f64 (.f64 (neg.f64 b) d) (.f64 (neg.f64 d) (.f64 (/.f64 a d) c))) (.f64 d (neg.f64 d)))
(/.f64 (fma.f64 (.f64 c (/.f64 a d)) (neg.f64 d) (.f64 d (neg.f64 b))) (*.f64 d (neg.f64 d)))
(/.f64 (neg.f64 (.f64 d (fma.f64 c (/.f64 a d) b))) (.f64 d (neg.f64 d)))
(/.f64 (+.f64 (.f64 (neg.f64 b) (.f64 d (neg.f64 d))) (.f64 (neg.f64 d) (.f64 c (neg.f64 a)))) (.f64 (neg.f64 d) (.f64 d (neg.f64 d))))
(.f64 (.f64 (/.f64 1 (pow.f64 d 3)) d) (fma.f64 b d (*.f64 c a)))
(.f64 (fma.f64 c a (.f64 d b)) (/.f64 d (pow.f64 d 3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b d) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4)))) (neg.f64 (/.f64 (-.f64 b (.f64 (/.f64 a d) c)) d)))
(/.f64 (-.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4)) (pow.f64 (/.f64 b d) 2)) (-.f64 (.f64 (/.f64 a d) (/.f64 c d)) (/.f64 b d)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 a (/.f64 d c)) d) 2) (pow.f64 (/.f64 b d) 2)) (neg.f64 (-.f64 b (/.f64 a (/.f64 d c))))) d)
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b d) 3) (pow.f64 (/.f64 (.f64 c a) (.f64 d d)) 3))) (neg.f64 (+.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4)) (.f64 (/.f64 b d) (/.f64 (-.f64 b (*.f64 (/.f64 a d) c)) d)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 a d) (/.f64 c d)) 3) (pow.f64 (/.f64 b d) 3))) (neg.f64 (+.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 d 4)) (.f64 (/.f64 b d) (/.f64 (-.f64 b (.f64 c (/.f64 a d))) d)))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 a (/.f64 d c)) d) 3) (pow.f64 (/.f64 b d) 3)) (fma.f64 (/.f64 b d) (/.f64 (-.f64 b (/.f64 a (/.f64 d c))) d) (pow.f64 (/.f64 (/.f64 a (/.f64 d c)) d) 2))))
(/.f64 (neg.f64 (.f64 d (+.f64 (.f64 b d) (*.f64 c a)))) (neg.f64 (pow.f64 d 3)))
(/.f64 (fma.f64 (neg.f64 b) (.f64 d d) (.f64 c (*.f64 a (neg.f64 d)))) (neg.f64 (pow.f64 d 3)))
(.f64 1 (.f64 (fma.f64 c a (*.f64 d b)) (/.f64 d (pow.f64 d 3))))
(pow.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d))) 1)
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))) 2)
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))) 3)
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(pow.f64 (pow.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d))) 3) 1/3)
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) 2))
(fabs.f64 (/.f64 (fma.f64 c (/.f64 a d) b) d))
(log.f64 (exp.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d))))))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d))) 3))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(exp.f64 (log.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (*.f64 d d)))) 1))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(fma.f64 (*.f64 c a) (pow.f64 d -2) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(fma.f64 b (/.f64 1 d) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(fma.f64 1 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(fma.f64 1 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(fma.f64 (/.f64 (sqrt.f64 (.f64 c a)) d) (/.f64 (sqrt.f64 (.f64 c a)) d) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(fma.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 c a) (.f64 d d))) 2) (cbrt.f64 (/.f64 (.f64 c a) (.f64 d d))) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (cbrt.f64 (/.f64 b d)) (/.f64 (.f64 c a) (.f64 d d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 b (hypot.f64 c d))

Compiler

Compiled 15 to 6 computations (60% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(/.f64 b (hypot.f64 c d))
1.0ms	b	@	inf	(/.f64 b (hypot.f64 c d))
1.0ms	c	@	inf	(/.f64 b (hypot.f64 c d))
1.0ms	c	@	0	(/.f64 b (hypot.f64 c d))
1.0ms	d	@	0	(/.f64 b (hypot.f64 c d))

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1490×	`add-sqr-sqrt`
1482×	`*-un-lft-identity`
1372×	`add-cube-cbrt`
1352×	`add-cbrt-cube`
1338×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	144	13
2	1813	13

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(/.f64 b (hypot.f64 c d))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b (hypot.f64 c d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (hypot.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (hypot.f64 c d))) (sqrt.f64 (/.f64 b (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b b)) (*.f64 (cbrt.f64 b) (/.f64 1 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) (pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) 2) (cbrt.f64 (/.f64 b (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 c d)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (neg.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (hypot.f64 c d))) (/.f64 b (sqrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 b (cbrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 b b)) 1) (/.f64 (cbrt.f64 b) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 b b)) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 b) (sqrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 b b)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (/.f64 b (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (hypot.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (hypot.f64 c d))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 c d) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (neg.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b (hypot.f64 c d))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (hypot.f64 c d))))))))

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1614×	`associate-/l*`
1108×	`associate-*r/`
954×	`*-commutative`
902×	`associate-/r*`
680×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	223	3155
1	675	2839
2	2695	2637

Stop Event

1×	node limit

Counts

67 → 110

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(/.f64 b d)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(+.f64 (.f64 -1 (.f64 (pow.f64 c 4) (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 5))) (.f64 -1/8 (/.f64 b (pow.f64 d 5)))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d)))
(+.f64 (.f64 -1 (.f64 (pow.f64 c 4) (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 5))) (.f64 -1/8 (/.f64 b (pow.f64 d 5)))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 c 6) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 5))) (.f64 -1/8 (/.f64 b (pow.f64 d 5)))) (pow.f64 d 2))) (.f64 1/8 (/.f64 b (pow.f64 d 7)))))) (/.f64 b d))))
(/.f64 b c)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (/.f64 b c) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 d 4) b)) (.f64 -1/8 (*.f64 (pow.f64 d 4) b))) (pow.f64 c 5)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 d 4) b)) (.f64 -1/8 (.f64 (pow.f64 d 4) b))))) (.f64 1/8 (.f64 (pow.f64 d 6) b))) (pow.f64 c 7))) (+.f64 (/.f64 b c) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 d 4) b)) (.f64 -1/8 (.f64 (pow.f64 d 4) b))) (pow.f64 c 5))))))
(*.f64 -1 (/.f64 b c))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (*.f64 -1 (/.f64 b c)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 d 4) b) (pow.f64 c 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 b c)) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 d 4) b) (pow.f64 c 5))))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 d 4) b) (pow.f64 c 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 d 6) b) (pow.f64 c 7))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 b c)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 d 4) b)) (.f64 -1/8 (.f64 (pow.f64 d 4) b))) (pow.f64 d 2)) (pow.f64 c 7))) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 d 4) b) (pow.f64 c 5))))))))
(/.f64 b c)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (/.f64 b c) (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (/.f64 b (pow.f64 c 5))) (.f64 -1/4 (/.f64 b (pow.f64 c 5)))) (pow.f64 d 4)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 d 6) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/8 (/.f64 b (pow.f64 c 5))) (.f64 -1/4 (/.f64 b (pow.f64 c 5)))) (pow.f64 c 2))) (.f64 1/8 (/.f64 b (pow.f64 c 7)))))) (+.f64 (/.f64 b c) (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (/.f64 b (pow.f64 c 5))) (.f64 -1/4 (/.f64 b (pow.f64 c 5)))) (pow.f64 d 4))))))
(/.f64 b d)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (.f64 -1/8 (.f64 (pow.f64 c 4) b))) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (.f64 -1/8 (.f64 (pow.f64 c 4) b))) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 c 6) b)) (.f64 -1/2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (.f64 -1/8 (.f64 (pow.f64 c 4) b)))))) (pow.f64 d 7))) (/.f64 b d))))
(*.f64 -1 (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 b d)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 4) b) (pow.f64 d 5))) (+.f64 (.f64 -1 (/.f64 b d)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 4) b) (pow.f64 d 5))) (+.f64 (.f64 -1 (/.f64 b d)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 4) b) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (.f64 -1/8 (.f64 (pow.f64 c 4) b)))) (pow.f64 d 7))) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 6) b) (pow.f64 d 7))))))))
(-.f64 (+.f64 1 (/.f64 b (hypot.f64 c d))) 1)
(*.f64 b (/.f64 1 (hypot.f64 c d)))
(*.f64 (/.f64 b (hypot.f64 c d)) 1)
(*.f64 1 (/.f64 b (hypot.f64 c d)))
(.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 1 (hypot.f64 c d))))
(*.f64 (sqrt.f64 (/.f64 b (hypot.f64 c d))) (sqrt.f64 (/.f64 b (hypot.f64 c d))))
(.f64 (cbrt.f64 (.f64 b b)) (*.f64 (cbrt.f64 b) (/.f64 1 (hypot.f64 c d))))
(*.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) (pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) 2) (cbrt.f64 (/.f64 b (hypot.f64 c d))))
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
(*.f64 (neg.f64 b) (/.f64 1 (neg.f64 (hypot.f64 c d))))
(*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 c d))) (/.f64 b (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 b (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (hypot.f64 c d))))
(.f64 (/.f64 (cbrt.f64 (.f64 b b)) 1) (/.f64 (cbrt.f64 b) (hypot.f64 c d)))
(.f64 (/.f64 (cbrt.f64 (.f64 b b)) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 b) (sqrt.f64 (hypot.f64 c d))))
(.f64 (/.f64 (cbrt.f64 (.f64 b b)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (/.f64 b (hypot.f64 c d))))
(pow.f64 (/.f64 b (hypot.f64 c d)) 1)
(pow.f64 (sqrt.f64 (/.f64 b (hypot.f64 c d))) 2)
(pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) 3)
(pow.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) 3) 1/3)
(pow.f64 (/.f64 (hypot.f64 c d) b) -1)
(neg.f64 (/.f64 b (neg.f64 (hypot.f64 c d))))
(sqrt.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) 2))
(log.f64 (exp.f64 (/.f64 b (hypot.f64 c d))))
(cbrt.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) 3))
(expm1.f64 (log1p.f64 (/.f64 b (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 b (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 b (hypot.f64 c d))) 1))
(log1p.f64 (expm1.f64 (/.f64 b (hypot.f64 c d))))

Outputs
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (*.f64 c c)))) b)
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (*.f64 c c)))) b)
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (*.f64 c c)))) b)
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (*.f64 c c)))) b)
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (*.f64 c c)))) b)
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (*.f64 c c)))) b)
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (*.f64 c c)))) b)
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (*.f64 c c)))) b)
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (*.f64 c c)))) b)
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (*.f64 c c)))) b)
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (*.f64 c c)))) b)
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (*.f64 c c)))) b)
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) b)
(/.f64 b d)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 c c) b) (pow.f64 d 3)) (/.f64 b d))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b) (/.f64 b d))
(fma.f64 -1/2 (*.f64 b (/.f64 c (/.f64 (pow.f64 d 3) c))) (/.f64 b d))
(+.f64 (.f64 -1 (.f64 (pow.f64 c 4) (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 5))) (.f64 -1/8 (/.f64 b (pow.f64 d 5)))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d)))
(fma.f64 -1 (.f64 (pow.f64 c 4) (.f64 (/.f64 b (pow.f64 d 5)) -3/8)) (fma.f64 -1/2 (/.f64 (.f64 (.f64 c c) b) (pow.f64 d 3)) (/.f64 b d)))
(-.f64 (fma.f64 -1/2 (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b) (/.f64 b d)) (.f64 (pow.f64 c 4) (.f64 (/.f64 b (pow.f64 d 5)) -3/8)))
(-.f64 (fma.f64 -1/2 (.f64 b (/.f64 c (/.f64 (pow.f64 d 3) c))) (/.f64 b d)) (.f64 (/.f64 b (pow.f64 d 5)) (*.f64 (pow.f64 c 4) -3/8)))
(+.f64 (.f64 -1 (.f64 (pow.f64 c 4) (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 5))) (.f64 -1/8 (/.f64 b (pow.f64 d 5)))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 c 6) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 5))) (.f64 -1/8 (/.f64 b (pow.f64 d 5)))) (pow.f64 d 2))) (.f64 1/8 (/.f64 b (pow.f64 d 7)))))) (/.f64 b d))))
(fma.f64 -1 (.f64 (pow.f64 c 4) (.f64 (/.f64 b (pow.f64 d 5)) -3/8)) (fma.f64 -1/2 (/.f64 (.f64 (.f64 c c) b) (pow.f64 d 3)) (fma.f64 -1 (.f64 (pow.f64 c 6) (fma.f64 -1/2 (/.f64 (.f64 (/.f64 b (pow.f64 d 5)) -3/8) (.f64 d d)) (.f64 1/8 (/.f64 b (pow.f64 d 7))))) (/.f64 b d))))
(-.f64 (fma.f64 -1/2 (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b) (-.f64 (/.f64 b d) (.f64 (pow.f64 c 6) (fma.f64 -1/2 (.f64 (/.f64 (/.f64 b (pow.f64 d 5)) d) (/.f64 -3/8 d)) (.f64 1/8 (/.f64 b (pow.f64 d 7))))))) (.f64 (pow.f64 c 4) (*.f64 (/.f64 b (pow.f64 d 5)) -3/8)))
(-.f64 (-.f64 (fma.f64 -1/2 (.f64 b (/.f64 c (/.f64 (pow.f64 d 3) c))) (/.f64 b d)) (.f64 (/.f64 b (pow.f64 d 5)) (.f64 (pow.f64 c 4) -3/8))) (.f64 (pow.f64 c 6) (fma.f64 -1/2 (.f64 (/.f64 b (.f64 d (pow.f64 d 5))) (/.f64 -3/8 d)) (*.f64 (/.f64 1/8 (pow.f64 d 7)) b))))
(/.f64 b c)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 d d) b) (pow.f64 c 3)) (/.f64 b c))
(fma.f64 -1/2 (/.f64 d (/.f64 (/.f64 (pow.f64 c 3) b) d)) (/.f64 b c))
(fma.f64 -1/2 (.f64 b (/.f64 (.f64 d d) (pow.f64 c 3))) (/.f64 b c))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (/.f64 b c) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 d 4) b)) (.f64 -1/8 (*.f64 (pow.f64 d 4) b))) (pow.f64 c 5)))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 (.f64 d d) b) (pow.f64 c 3)) (/.f64 b c)) (neg.f64 (/.f64 (.f64 (.f64 b (pow.f64 d 4)) -3/8) (pow.f64 c 5))))
(-.f64 (fma.f64 -1/2 (/.f64 d (/.f64 (/.f64 (pow.f64 c 3) b) d)) (/.f64 b c)) (/.f64 (*.f64 b (pow.f64 d 4)) (/.f64 (pow.f64 c 5) -3/8)))
(-.f64 (fma.f64 -1/2 (.f64 b (/.f64 (.f64 d d) (pow.f64 c 3))) (/.f64 b c)) (*.f64 (/.f64 (pow.f64 d 4) (/.f64 (pow.f64 c 5) b)) -3/8))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 d 4) b)) (.f64 -1/8 (.f64 (pow.f64 d 4) b))))) (.f64 1/8 (.f64 (pow.f64 d 6) b))) (pow.f64 c 7))) (+.f64 (/.f64 b c) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 d 4) b)) (.f64 -1/8 (.f64 (pow.f64 d 4) b))) (pow.f64 c 5))))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 d d) b) (pow.f64 c 3)) (fma.f64 -1 (/.f64 (fma.f64 -1/2 (.f64 (.f64 d d) (.f64 (.f64 b (pow.f64 d 4)) -3/8)) (.f64 1/8 (.f64 b (pow.f64 d 6)))) (pow.f64 c 7)) (+.f64 (/.f64 b c) (neg.f64 (/.f64 (.f64 (.f64 b (pow.f64 d 4)) -3/8) (pow.f64 c 5))))))
(fma.f64 -1/2 (/.f64 d (/.f64 (/.f64 (pow.f64 c 3) b) d)) (-.f64 (-.f64 (/.f64 b c) (/.f64 (.f64 b (pow.f64 d 4)) (/.f64 (pow.f64 c 5) -3/8))) (/.f64 (fma.f64 1/8 (.f64 b (pow.f64 d 6)) (.f64 (.f64 b (.f64 (pow.f64 d 4) -3/8)) (.f64 (*.f64 d d) -1/2))) (pow.f64 c 7))))
(-.f64 (-.f64 (fma.f64 -1/2 (.f64 b (/.f64 (.f64 d d) (pow.f64 c 3))) (/.f64 b c)) (.f64 (/.f64 (pow.f64 d 4) (/.f64 (pow.f64 c 5) b)) -3/8)) (/.f64 (fma.f64 -1/2 (.f64 d (.f64 d (.f64 b (.f64 (pow.f64 d 4) -3/8)))) (.f64 b (*.f64 1/8 (pow.f64 d 6)))) (pow.f64 c 7)))
(*.f64 -1 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (*.f64 -1 (/.f64 b c)))
(fma.f64 1/2 (/.f64 (.f64 (.f64 d d) b) (pow.f64 c 3)) (/.f64 (neg.f64 b) c))
(-.f64 (*.f64 (/.f64 d (/.f64 (/.f64 (pow.f64 c 3) b) d)) 1/2) (/.f64 b c))
(-.f64 (.f64 (.f64 b (/.f64 (*.f64 d d) (pow.f64 c 3))) 1/2) (/.f64 b c))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 d 4) b) (pow.f64 c 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 b c)) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 d 4) b) (pow.f64 c 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 d 4) (/.f64 (pow.f64 c 5) b)) (fma.f64 1/2 (/.f64 (.f64 (.f64 d d) b) (pow.f64 c 3)) (fma.f64 -1 (/.f64 b c) (*.f64 -1/4 (/.f64 (pow.f64 d 4) (/.f64 (pow.f64 c 5) b))))))
(fma.f64 -1/8 (/.f64 (pow.f64 d 4) (/.f64 (pow.f64 c 5) b)) (fma.f64 (/.f64 d (/.f64 (/.f64 (pow.f64 c 3) b) d)) 1/2 (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 d 4) (/.f64 (pow.f64 c 5) b))) (/.f64 b c))))
(+.f64 (.f64 (.f64 b (/.f64 (.f64 d d) (pow.f64 c 3))) 1/2) (-.f64 (.f64 (/.f64 (pow.f64 d 4) (/.f64 (pow.f64 c 5) b)) -3/8) (/.f64 b c)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 d 4) b) (pow.f64 c 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 d 6) b) (pow.f64 c 7))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 b c)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 d 4) b)) (.f64 -1/8 (.f64 (pow.f64 d 4) b))) (pow.f64 d 2)) (pow.f64 c 7))) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 d 4) b) (pow.f64 c 5))))))))
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(/.f64 b (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (cbrt.f64 (hypot.f64 c d))))
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(.f64 (/.f64 (cbrt.f64 (.f64 b b)) 1) (/.f64 (cbrt.f64 b) (hypot.f64 c d)))
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(sqrt.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) 2))
(fabs.f64 (/.f64 b (hypot.f64 c d)))
(log.f64 (exp.f64 (/.f64 b (hypot.f64 c d))))
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(/.f64 b (hypot.f64 c d))
(expm1.f64 (log1p.f64 (/.f64 b (hypot.f64 c d))))
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(/.f64 b (hypot.f64 c d))
(exp.f64 (*.f64 (log.f64 (/.f64 b (hypot.f64 c d))) 1))
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(/.f64 b (hypot.f64 c d))
(log1p.f64 (expm1.f64 (/.f64 b (hypot.f64 c d))))
(+.f64 (+.f64 1 (/.f64 b (hypot.f64 c d))) -1)
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(/.f64 b (hypot.f64 c d))

eval594.0ms (4.1%)

Compiler: Compiled 34882 to 13825 computations (60.4% saved)

prune621.0ms (4.3%)

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	1244	13	1257
Fresh	4	11	15
Picked	0	1	1
Done	2	4	6
Total	1250	29	1279

Error

0.1b

Counts

1279 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	43.5b	(pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) 3)
	33.7b	(/.f64 (/.f64 (*.f64 d b) (hypot.f64 c d)) (hypot.f64 c d))
	51.2b	(/.f64 (/.f64 (*.f64 a c) d) d)
	49.9b	(/.f64 (/.f64 c (/.f64 d a)) d)
	44.4b	(/.f64 (+.f64 b (*.f64 (/.f64 c d) a)) (hypot.f64 c d))
	42.1b	(/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d))
	50.1b	(/.f64 (*.f64 (/.f64 a d) c) d)
	37.6b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	42.7b	(/.f64 (*.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))) (hypot.f64 c d))
	55.8b	(/.f64 (neg.f64 b) d)
	57.4b	(/.f64 (neg.f64 b) c)
	50.9b	(/.f64 c (/.f64 (*.f64 d d) a))
✓	43.3b	(/.f64 b (hypot.f64 c d))
✓	37.5b	(/.f64 b d)
	57.2b	(/.f64 b c)
✓	35.7b	(/.f64 a c)
	37.7b	(/.f64 -1 (/.f64 (neg.f64 d) b))
	37.8b	(/.f64 -1 (+.f64 (.f64 (/.f64 d (.f64 a a)) b) (.f64 -1 (+.f64 (/.f64 c a) (.f64 d (.f64 d (-.f64 (/.f64 1 (.f64 c a)) (/.f64 (.f64 (neg.f64 b) b) (.f64 c (pow.f64 a 3))))))))))
	38.2b	(/.f64 -1 (+.f64 (neg.f64 (/.f64 c a)) (/.f64 (.f64 b d) (.f64 a a))))
	32.4b	(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))
✓	34.6b	(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
	33.3b	(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
	32.4b	(+.f64 (/.f64 a c) (/.f64 b (*.f64 (/.f64 c d) c)))
	30.2b	(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
	30.4b	(+.f64 (/.f64 a c) (.f64 (/.f64 1 c) (.f64 b (/.f64 d c))))
✓	36.3b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
	33.7b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 d b) (hypot.f64 c d)))
	32.3b	(.f64 (/.f64 1 d) (+.f64 (.f64 (/.f64 a d) c) b))
	35.8b	(*.f64 (/.f64 1 c) a)

Compiler

Compiled 395 to 254 computations (35.7% saved)

regimes779.0ms (5.4%)

Counts

58 → 5

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 (/.f64 1 c) a)
(/.f64 -1 (/.f64 (neg.f64 d) b))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 (/.f64 c d) (/.f64 a d))
(/.f64 c (/.f64 (*.f64 d d) a))
(/.f64 (*.f64 (/.f64 a d) c) d)
(/.f64 (/.f64 c (/.f64 d a)) d)
(/.f64 (/.f64 (*.f64 a c) d) d)
(.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b))
(.f64 (/.f64 1 d) (+.f64 (.f64 (/.f64 a d) c) b))
(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 d c) c) b))
(+.f64 (/.f64 a c) (/.f64 b (*.f64 (/.f64 c d) c)))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(+.f64 (/.f64 b d) (.f64 (/.f64 a (.f64 d d)) c))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
(+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))
(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
(.f64 (/.f64 1 (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d)))
(+.f64 (/.f64 a c) (.f64 (/.f64 1 c) (.f64 b (/.f64 d c))))
(+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))
(/.f64 -1 (+.f64 (neg.f64 (/.f64 c a)) (/.f64 (.f64 b d) (.f64 a a))))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (.f64 a c) (*.f64 b d)))
(/.f64 (+.f64 d (/.f64 (.f64 d b) (.f64 c (/.f64 a d)))) (.f64 d (/.f64 d (.f64 c (/.f64 a d)))))
(/.f64 b (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d))
(/.f64 (+.f64 b (*.f64 (/.f64 c d) a)) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))
(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (.f64 (/.f64 c d) a)))
(+.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))
(/.f64 (*.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))) (hypot.f64 c d))
(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))))
(/.f64 -1 (+.f64 (.f64 (/.f64 d (.f64 a a)) b) (.f64 -1 (+.f64 (/.f64 c a) (.f64 d (.f64 d (-.f64 (/.f64 1 (.f64 c a)) (/.f64 (.f64 (neg.f64 b) b) (.f64 c (pow.f64 a 3))))))))))
(/.f64 (/.f64 (*.f64 c a) (hypot.f64 c d)) (hypot.f64 c d))
(/.f64 (/.f64 (*.f64 d b) (hypot.f64 c d)) (hypot.f64 c d))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 c a) (hypot.f64 c d)))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 d b) (hypot.f64 c d)))
(/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)))
(/.f64 -1 (/.f64 (/.f64 (hypot.f64 c d) (+.f64 (.f64 a c) (.f64 b d))) (/.f64 -1 (hypot.f64 c d))))
(pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) 3)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 a c) (.f64 b d))) 2) (hypot.f64 c d)) (/.f64 (cbrt.f64 (+.f64 (.f64 a c) (*.f64 b d))) (hypot.f64 c d)))

Outputs
(/.f64 (*.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))) (hypot.f64 c d))
(/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
(+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))
(/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
(/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d))

Calls

5 calls:

224.0ms	c
179.0ms	a
174.0ms	b
147.0ms	d
42.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
12.0b	3	`a`
13.7b	4	`b`
6.3b	5	`c`
7.3b	5	`d`
7.5b	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 695 to 219 computations (68.5% saved)

bsearch90.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
15.0ms	8.270241788015036e+37	2.5811430428707225e+39
45.0ms	2.5793307989874566e-139	5.2792810374934276e-138
13.0ms	-6.616295152863395e-110	-6.2476859834143815e-111
16.0ms	-5.221106633346638e+82	-6.917083341199097e+78

Results

82.0ms	448×	body	256	valid
2.0ms	16×	body	256	infinite

Compiler

Compiled 1076 to 647 computations (39.9% saved)

regimes811.0ms (5.7%)

Counts

53 → 5

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 (/.f64 1 c) a)
(/.f64 -1 (/.f64 (neg.f64 d) b))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 (/.f64 c d) (/.f64 a d))
(/.f64 c (/.f64 (*.f64 d d) a))
(/.f64 (*.f64 (/.f64 a d) c) d)
(/.f64 (/.f64 c (/.f64 d a)) d)
(/.f64 (/.f64 (*.f64 a c) d) d)
(.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b))
(.f64 (/.f64 1 d) (+.f64 (.f64 (/.f64 a d) c) b))
(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 d c) c) b))
(+.f64 (/.f64 a c) (/.f64 b (*.f64 (/.f64 c d) c)))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(+.f64 (/.f64 b d) (.f64 (/.f64 a (.f64 d d)) c))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
(+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))
(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
(.f64 (/.f64 1 (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d)))
(+.f64 (/.f64 a c) (.f64 (/.f64 1 c) (.f64 b (/.f64 d c))))
(+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))
(/.f64 -1 (+.f64 (neg.f64 (/.f64 c a)) (/.f64 (.f64 b d) (.f64 a a))))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (.f64 a c) (*.f64 b d)))
(/.f64 (+.f64 d (/.f64 (.f64 d b) (.f64 c (/.f64 a d)))) (.f64 d (/.f64 d (.f64 c (/.f64 a d)))))
(/.f64 b (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d))
(/.f64 (+.f64 b (*.f64 (/.f64 c d) a)) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))
(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (.f64 (/.f64 c d) a)))
(+.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))
(/.f64 (*.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))) (hypot.f64 c d))
(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))))
(/.f64 -1 (+.f64 (.f64 (/.f64 d (.f64 a a)) b) (.f64 -1 (+.f64 (/.f64 c a) (.f64 d (.f64 d (-.f64 (/.f64 1 (.f64 c a)) (/.f64 (.f64 (neg.f64 b) b) (.f64 c (pow.f64 a 3))))))))))
(/.f64 (/.f64 (*.f64 c a) (hypot.f64 c d)) (hypot.f64 c d))
(/.f64 (/.f64 (*.f64 d b) (hypot.f64 c d)) (hypot.f64 c d))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 c a) (hypot.f64 c d)))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 d b) (hypot.f64 c d)))

Outputs
(/.f64 (*.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))) (hypot.f64 c d))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d))

Calls

5 calls:

237.0ms	b
197.0ms	d
184.0ms	a
120.0ms	c
60.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
16.3b	8	`a`
15.8b	11	`b`
6.8b	5	`c`
9.3b	5	`d`
11.2b	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 609 to 199 computations (67.3% saved)

bsearch99.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	8.270241788015036e+37	2.5811430428707225e+39
17.0ms	2.3329302348701856e-74	6.37774584341019e-67
53.0ms	-1.3348667528470757e-115	-1.0833950882933962e-116
15.0ms	-6.917083341199097e+78	-1.1525760708908826e+75

Results

91.0ms	480×	body	256	valid
2.0ms	18×	body	256	infinite

Compiler

Compiled 1122 to 693 computations (38.2% saved)

regimes595.0ms (4.2%)

Counts

46 → 5

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 (/.f64 1 c) a)
(/.f64 -1 (/.f64 (neg.f64 d) b))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 (/.f64 c d) (/.f64 a d))
(/.f64 c (/.f64 (*.f64 d d) a))
(/.f64 (*.f64 (/.f64 a d) c) d)
(/.f64 (/.f64 c (/.f64 d a)) d)
(/.f64 (/.f64 (*.f64 a c) d) d)
(.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b))
(.f64 (/.f64 1 d) (+.f64 (.f64 (/.f64 a d) c) b))
(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 d c) c) b))
(+.f64 (/.f64 a c) (/.f64 b (*.f64 (/.f64 c d) c)))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(+.f64 (/.f64 b d) (.f64 (/.f64 a (.f64 d d)) c))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
(+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))
(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
(.f64 (/.f64 1 (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d)))
(+.f64 (/.f64 a c) (.f64 (/.f64 1 c) (.f64 b (/.f64 d c))))
(+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))
(/.f64 -1 (+.f64 (neg.f64 (/.f64 c a)) (/.f64 (.f64 b d) (.f64 a a))))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (.f64 a c) (*.f64 b d)))
(/.f64 (+.f64 d (/.f64 (.f64 d b) (.f64 c (/.f64 a d)))) (.f64 d (/.f64 d (.f64 c (/.f64 a d)))))
(/.f64 b (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d))
(/.f64 (+.f64 b (*.f64 (/.f64 c d) a)) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))
(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (.f64 (/.f64 c d) a)))
(+.f64 (/.f64 b d) (pow.f64 (/.f64 d (*.f64 c (/.f64 a d))) -1))

Outputs
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d))

Calls

5 calls:

153.0ms	a
149.0ms	d
124.0ms	c
103.0ms	b
58.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
21.6b	3	`a`
20.3b	5	`b`
6.8b	5	`c`
9.3b	5	`d`
14.8b	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 497 to 163 computations (67.2% saved)

bsearch85.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
13.0ms	8.270241788015036e+37	2.5811430428707225e+39
42.0ms	2.3329302348701856e-74	6.37774584341019e-67
14.0ms	-1.3348667528470757e-115	-1.0833950882933962e-116
16.0ms	-6.917083341199097e+78	-1.1525760708908826e+75

Results

78.0ms	480×	body	256	valid
1.0ms	13×	body	256	infinite

Compiler

Compiled 1106 to 677 computations (38.8% saved)

regimes425.0ms (3%)

Counts

41 → 5

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 (/.f64 1 c) a)
(/.f64 -1 (/.f64 (neg.f64 d) b))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 (/.f64 c d) (/.f64 a d))
(/.f64 c (/.f64 (*.f64 d d) a))
(/.f64 (*.f64 (/.f64 a d) c) d)
(/.f64 (/.f64 c (/.f64 d a)) d)
(/.f64 (/.f64 (*.f64 a c) d) d)
(.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b))
(.f64 (/.f64 1 d) (+.f64 (.f64 (/.f64 a d) c) b))
(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 d c) c) b))
(+.f64 (/.f64 a c) (/.f64 b (*.f64 (/.f64 c d) c)))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(+.f64 (/.f64 b d) (.f64 (/.f64 a (.f64 d d)) c))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
(+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))
(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
(.f64 (/.f64 1 (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d)))
(+.f64 (/.f64 a c) (.f64 (/.f64 1 c) (.f64 b (/.f64 d c))))
(+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))
(/.f64 -1 (+.f64 (neg.f64 (/.f64 c a)) (/.f64 (.f64 b d) (.f64 a a))))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(.f64 (/.f64 1 (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (.f64 a c) (*.f64 b d)))
(/.f64 (+.f64 d (/.f64 (.f64 d b) (.f64 c (/.f64 a d)))) (.f64 d (/.f64 d (.f64 c (/.f64 a d)))))
(/.f64 b (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) b)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))

Outputs
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))

Calls

5 calls:

100.0ms	d
86.0ms	c
82.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
81.0ms	b
67.0ms	a

Results

Error	Segments	Branch
21.6b	3	`a`
20.3b	5	`b`
7.0b	5	`c`
9.3b	5	`d`
14.8b	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 436 to 147 computations (66.3% saved)

bsearch67.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	8.270241788015036e+37	2.5811430428707225e+39
19.0ms	2.3329302348701856e-74	6.37774584341019e-67
18.0ms	-1.3348667528470757e-115	-1.0833950882933962e-116
16.0ms	-6.917083341199097e+78	-1.1525760708908826e+75

Results

59.0ms	480×	body	256	valid
1.0ms	14×	body	256	infinite

Compiler

Compiled 1106 to 677 computations (38.8% saved)

regimes412.0ms (2.9%)

Counts

35 → 5

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 (/.f64 1 c) a)
(/.f64 -1 (/.f64 (neg.f64 d) b))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 (/.f64 c d) (/.f64 a d))
(/.f64 c (/.f64 (*.f64 d d) a))
(/.f64 (*.f64 (/.f64 a d) c) d)
(/.f64 (/.f64 c (/.f64 d a)) d)
(/.f64 (/.f64 (*.f64 a c) d) d)
(.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b))
(.f64 (/.f64 1 d) (+.f64 (.f64 (/.f64 a d) c) b))
(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 d c) c) b))
(+.f64 (/.f64 a c) (/.f64 b (*.f64 (/.f64 c d) c)))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(+.f64 (/.f64 b d) (.f64 (/.f64 a (.f64 d d)) c))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
(+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))
(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
(.f64 (/.f64 1 (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d)))
(+.f64 (/.f64 a c) (.f64 (/.f64 1 c) (.f64 b (/.f64 d c))))
(+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))
(/.f64 -1 (+.f64 (neg.f64 (/.f64 c a)) (/.f64 (.f64 b d) (.f64 a a))))

Outputs
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d))))
(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))

Calls

4 calls:

149.0ms	a
138.0ms	b
71.0ms	c
48.0ms	d

Results

Error	Segments	Branch
19.3b	11	`a`
20.6b	10	`b`
8.9b	5	`c`
11.5b	3	`d`

Compiler

Compiled 341 to 118 computations (65.4% saved)

bsearch98.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
13.0ms	3.5563037905873374e+43	6.948762128538789e+44
18.0ms	1.0524991359929064e-29	2.460362259169244e-23
18.0ms	2.3329302348701856e-74	6.37774584341019e-67
48.0ms	-9.421273780496643e-17	-2.3147644958536292e-26

Results

89.0ms	544×	body	256	valid
1.0ms	9×	body	256	infinite

Compiler

Compiled 1150 to 733 computations (36.3% saved)

regimes572.0ms (4%)

Counts

33 → 5

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 (/.f64 1 c) a)
(/.f64 -1 (/.f64 (neg.f64 d) b))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 (/.f64 c d) (/.f64 a d))
(/.f64 c (/.f64 (*.f64 d d) a))
(/.f64 (*.f64 (/.f64 a d) c) d)
(/.f64 (/.f64 c (/.f64 d a)) d)
(/.f64 (/.f64 (*.f64 a c) d) d)
(.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b))
(.f64 (/.f64 1 d) (+.f64 (.f64 (/.f64 a d) c) b))
(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 d c) c) b))
(+.f64 (/.f64 a c) (/.f64 b (*.f64 (/.f64 c d) c)))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(+.f64 (/.f64 b d) (.f64 (/.f64 a (.f64 d d)) c))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
(+.f64 (/.f64 b d) (/.f64 c (*.f64 (/.f64 d a) d)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (/.f64 c d) (/.f64 d a)))
(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
(.f64 (/.f64 1 (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d)))
(+.f64 (/.f64 a c) (.f64 (/.f64 1 c) (.f64 b (/.f64 d c))))

Outputs
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b))
(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))

Calls

4 calls:

213.0ms	b
177.0ms	a
122.0ms	c
41.0ms	d

Results

Error	Segments	Branch
19.3b	11	`a`
20.6b	10	`b`
9.0b	5	`c`
11.5b	3	`d`

Compiler

Compiled 314 to 107 computations (65.9% saved)

bsearch109.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	3.5563037905873374e+43	6.948762128538789e+44
18.0ms	1.0524991359929064e-29	2.460362259169244e-23
59.0ms	2.3329302348701856e-74	6.37774584341019e-67
18.0ms	-9.421273780496643e-17	-2.3147644958536292e-26

Results

59.0ms	544×	body	256	valid
2.0ms	9×	body	256	infinite

Compiler

Compiled 1114 to 715 computations (35.8% saved)

regimes311.0ms (2.2%)

Counts

21 → 5

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 (/.f64 1 c) a)
(/.f64 -1 (/.f64 (neg.f64 d) b))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 (/.f64 c d) (/.f64 a d))
(/.f64 c (/.f64 (*.f64 d d) a))
(/.f64 (*.f64 (/.f64 a d) c) d)
(/.f64 (/.f64 c (/.f64 d a)) d)
(/.f64 (/.f64 (*.f64 a c) d) d)
(.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b))
(.f64 (/.f64 1 d) (+.f64 (.f64 (/.f64 a d) c) b))
(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 d c) c) b))
(+.f64 (/.f64 a c) (/.f64 b (*.f64 (/.f64 c d) c)))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 (*.f64 c c) d)))

Outputs
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
(.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b))
(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
(.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b))
(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))

Calls

4 calls:

103.0ms	a
96.0ms	b
62.0ms	d
47.0ms	c

Results

Error	Segments	Branch
21.0b	11	`a`
20.6b	10	`b`
9.0b	5	`c`
11.8b	3	`d`

Compiler

Compiled 178 to 76 computations (57.3% saved)

bsearch71.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	3.5563037905873374e+43	6.948762128538789e+44
19.0ms	1.0524991359929064e-29	2.460362259169244e-23
19.0ms	2.3329302348701856e-74	6.37774584341019e-67
19.0ms	-9.421273780496643e-17	-2.3147644958536292e-26

Results

61.0ms	544×	body	256	valid
2.0ms	15×	body	256	infinite

Compiler

Compiled 1114 to 731 computations (34.4% saved)

regimes198.0ms (1.4%)

Counts

17 → 5

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 (/.f64 1 c) a)
(/.f64 -1 (/.f64 (neg.f64 d) b))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 (/.f64 c d) (/.f64 a d))
(/.f64 c (/.f64 (*.f64 d d) a))
(/.f64 (*.f64 (/.f64 a d) c) d)
(/.f64 (/.f64 c (/.f64 d a)) d)
(/.f64 (/.f64 (*.f64 a c) d) d)
(.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b))
(.f64 (/.f64 1 d) (+.f64 (.f64 (/.f64 a d) c) b))
(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)

Outputs
(/.f64 a c)
(.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b))
(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
(.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b))
(/.f64 a c)

Calls

4 calls:

66.0ms	a
64.0ms	b
42.0ms	c
23.0ms	d

Results

Error	Segments	Branch
24.9b	9	`a`
23.9b	8	`b`
12.9b	5	`c`
15.7b	3	`d`

Compiler

Compiled 134 to 64 computations (52.2% saved)

bsearch61.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
13.0ms	9.124815494005182e+105	9.663066499588821e+107
18.0ms	1.0524991359929064e-29	2.460362259169244e-23
18.0ms	2.3329302348701856e-74	6.37774584341019e-67
12.0ms	-1.8435097910726252e+30	-2.69756774908556e+29

Results

53.0ms	496×	body	256	valid
1.0ms	10×	body	256	infinite

Compiler

Compiled 914 to 616 computations (32.6% saved)

regimes164.0ms (1.1%)

Counts

16 → 3

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 (/.f64 1 c) a)
(/.f64 -1 (/.f64 (neg.f64 d) b))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 (/.f64 c d) (/.f64 a d))
(/.f64 c (/.f64 (*.f64 d d) a))
(/.f64 (*.f64 (/.f64 a d) c) d)
(/.f64 (/.f64 c (/.f64 d a)) d)
(/.f64 (/.f64 (*.f64 a c) d) d)
(.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b))
(.f64 (/.f64 1 d) (+.f64 (.f64 (/.f64 a d) c) b))

Outputs
(/.f64 a c)
(.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b))
(/.f64 a c)

Calls

4 calls:

63.0ms	a
52.0ms	b
23.0ms	d
22.0ms	c

Results

Error	Segments	Branch
24.9b	9	`a`
25.7b	7	`b`
14.1b	3	`c`
15.7b	3	`d`

Compiler

Compiled 123 to 60 computations (51.2% saved)

bsearch26.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	9.124815494005182e+105	9.663066499588821e+107
12.0ms	-1.8435097910726252e+30	-2.69756774908556e+29

Results

23.0ms

208×

body

256

valid

Compiler

Compiled 338 to 238 computations (29.6% saved)

regimes152.0ms (1.1%)

Counts

14 → 3

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 (/.f64 1 c) a)
(/.f64 -1 (/.f64 (neg.f64 d) b))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(*.f64 (/.f64 c d) (/.f64 a d))
(/.f64 c (/.f64 (*.f64 d d) a))
(/.f64 (*.f64 (/.f64 a d) c) d)
(/.f64 (/.f64 c (/.f64 d a)) d)
(/.f64 (/.f64 (*.f64 a c) d) d)

Outputs
(/.f64 a c)
(/.f64 b d)
(/.f64 a c)

Calls

4 calls:

58.0ms	a
40.0ms	b
30.0ms	d
21.0ms	c

Results

Error	Segments	Branch
26.6b	9	`a`
28.1b	5	`b`
18.2b	3	`c`
20.0b	3	`d`

Compiler

Compiled 101 to 51 computations (49.5% saved)

bsearch25.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	3.5563037905873374e+43	6.948762128538789e+44
12.0ms	-1.8435097910726252e+30	-2.69756774908556e+29

Results

23.0ms

208×

body

256

valid

Compiler

Compiled 234 to 173 computations (26.1% saved)

regimes13.0ms (0.1%)

Accuracy

Total -22.2b remaining (-62.3%)

Threshold costs -22.2b (-62.3%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b c)

Outputs
(/.f64 a c)

Calls

4 calls:

3.0ms	c
3.0ms	d
3.0ms	b
3.0ms	a

Results

Error	Segments	Branch
35.7b	1	`a`
35.7b	1	`b`
35.7b	1	`c`
35.7b	1	`d`

Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify38.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative`
26×	`+-commutative`
10×	`sub-neg`
10×	`neg-sub0`
8×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	1705
1	183	1705
2	189	1705
3	200	1705
4	209	1705
5	214	1705
6	215	1705

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 c -47999999999999999591523568385787545946281041832294659091522967575478639262586372096) (/.f64 (.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))) (hypot.f64 c d)) (if (<=.f64 c -5923061480360627/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c 4860330374604191/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512) (+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d)))) (if (<=.f64 c 2549999999999999914260451600910996471808) (/.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d))))))
(if (<=.f64 c -4999999999999999836780037503297759611373201803324989956633012309316501610954752) (/.f64 (.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))) (hypot.f64 c d)) (if (<=.f64 c -1153430592754259/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 5092589940836215/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (+.f64 (/.f64 b d) (/.f64 a (.f64 (/.f64 d c) d))) (if (<=.f64 c 1120000000000000005009815513073310498816) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d))))))
(if (<=.f64 c -59999999999999996395855892718367073181509239082549374496860282078218155982848) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c -5855878393983161/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 1942668892225729/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408) (+.f64 (/.f64 b d) (/.f64 a (.f64 (/.f64 d c) d))) (if (<=.f64 c 2549999999999999914260451600910996471808) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d))))))
(if (<=.f64 c -5400000000000000087003169674954547125078127156767069950401391795434599875608576) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c -7807837858644215/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 3246526087283087/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (+.f64 (/.f64 b d) (/.f64 a (.f64 (/.f64 d c) d))) (if (<=.f64 c 2549999999999999914260451600910996471808) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))))))
(if (<=.f64 c -7301667457314601/81129638414606681695789005144064) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c 8802718417897835/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d)))) (if (<=.f64 c 178405961588245/11150372599265311570767859136324180752990208) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) a) (if (<=.f64 c 135000000000000000024613520024019925915926528) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c)))))))
(if (<=.f64 c -6977148903656175/324518553658426726783156020576256) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c 3490733165718107/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b)) (if (<=.f64 c 2526256292021047/174224571863520493293247799005065324265472) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) a) (if (<=.f64 c 80000000000000001114976935675312793045696512) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c)))))))
(if (<=.f64 c -7463926734143815/162259276829213363391578010288128) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c 5463756259384863/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b)) (if (<=.f64 c 7849862309882779/713623846352979940529142984724747568191373312) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) a) (if (<=.f64 c 280000000000000008854179432005115875256434688) (.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b)) (+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))))))
(if (<=.f64 c -799999999999999931465206857728) (/.f64 a c) (if (<=.f64 c 3490733165718107/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b)) (if (<=.f64 c 8084020134467351/2787593149816327892691964784081045188247552) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) a) (if (<=.f64 c 10000000000000000910359990503684350104604539951754865571545457374840902895351334152154180097541612190564352) (.f64 (/.f64 1 d) (+.f64 (*.f64 c (/.f64 a d)) b)) (/.f64 a c)))))
(if (<=.f64 c -1650000000000000131325872832512) (/.f64 a c) (if (<=.f64 c 31999999999999998024265626409023313290464875663107983305421318801243887738387190836378256880125064169652224) (.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b)) (/.f64 a c)))
(if (<=.f64 c -269999999999999999739349172224) (/.f64 a c) (if (<=.f64 c 209999999999999986833593945437752508056338432) (/.f64 b d) (/.f64 a c)))
(/.f64 a c)

Outputs
(if (<=.f64 c -47999999999999999591523568385787545946281041832294659091522967575478639262586372096) (/.f64 (.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))) (hypot.f64 c d)) (if (<=.f64 c -5923061480360627/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c 4860330374604191/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512) (+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d)))) (if (<=.f64 c 2549999999999999914260451600910996471808) (/.f64 (/.f64 (+.f64 (.f64 a c) (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d))))))
(if (<=.f64 c -47999999999999999591523568385787545946281041832294659091522967575478639262586372096) (/.f64 (neg.f64 (+.f64 a (/.f64 d (/.f64 c b)))) (hypot.f64 c d)) (if (<=.f64 c -5923061480360627/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (/.f64 (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c 4860330374604191/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512) (+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d)))) (if (<=.f64 c 2549999999999999914260451600910996471808) (/.f64 (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d)) (/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d))))))
(if (<=.f64 c -47999999999999999591523568385787545946281041832294659091522967575478639262586372096) (/.f64 (-.f64 (neg.f64 a) (/.f64 d (/.f64 c b))) (hypot.f64 c d)) (if (<=.f64 c -5923061480360627/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (/.f64 (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 c 4860330374604191/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512) (+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d)))) (if (<=.f64 c 2549999999999999914260451600910996471808) (/.f64 (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d)) (/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d))))))
(if (<=.f64 c -4999999999999999836780037503297759611373201803324989956633012309316501610954752) (/.f64 (.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))) (hypot.f64 c d)) (if (<=.f64 c -1153430592754259/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 5092589940836215/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (+.f64 (/.f64 b d) (/.f64 a (.f64 (/.f64 d c) d))) (if (<=.f64 c 1120000000000000005009815513073310498816) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d))))))
(if (<=.f64 c -4999999999999999836780037503297759611373201803324989956633012309316501610954752) (/.f64 (neg.f64 (+.f64 a (/.f64 d (/.f64 c b)))) (hypot.f64 c d)) (if (<=.f64 c -1153430592754259/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184) (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 5092589940836215/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (+.f64 (/.f64 b d) (/.f64 a (.f64 d (/.f64 d c)))) (if (<=.f64 c 1120000000000000005009815513073310498816) (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (+.f64 (.f64 c c) (*.f64 d d))) (/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d))))))
(if (<=.f64 c -4999999999999999836780037503297759611373201803324989956633012309316501610954752) (/.f64 (-.f64 (neg.f64 a) (/.f64 d (/.f64 c b))) (hypot.f64 c d)) (if (<=.f64 c -1153430592754259/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184) (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 5092589940836215/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (+.f64 (/.f64 b d) (/.f64 a (.f64 d (/.f64 d c)))) (if (<=.f64 c 1120000000000000005009815513073310498816) (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (+.f64 (.f64 c c) (*.f64 d d))) (/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d))))))
(if (<=.f64 c -59999999999999996395855892718367073181509239082549374496860282078218155982848) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c -5855878393983161/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 1942668892225729/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408) (+.f64 (/.f64 b d) (/.f64 a (.f64 (/.f64 d c) d))) (if (<=.f64 c 2549999999999999914260451600910996471808) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d))))))
(if (<=.f64 c -59999999999999996395855892718367073181509239082549374496860282078218155982848) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -5855878393983161/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472) (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 1942668892225729/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408) (+.f64 (/.f64 b d) (/.f64 a (.f64 d (/.f64 d c)))) (if (<=.f64 c 2549999999999999914260451600910996471808) (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (+.f64 a (/.f64 d (/.f64 c b))) (hypot.f64 c d))))))
(if (<=.f64 c -5400000000000000087003169674954547125078127156767069950401391795434599875608576) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c -7807837858644215/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 3246526087283087/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (+.f64 (/.f64 b d) (/.f64 a (.f64 (/.f64 d c) d))) (if (<=.f64 c 2549999999999999914260451600910996471808) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))))))
(if (<=.f64 c -5400000000000000087003169674954547125078127156767069950401391795434599875608576) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c -7807837858644215/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 3246526087283087/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336) (+.f64 (/.f64 b d) (/.f64 a (.f64 d (/.f64 d c)))) (if (<=.f64 c 2549999999999999914260451600910996471808) (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 c -7301667457314601/81129638414606681695789005144064) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c 8802718417897835/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d)))) (if (<=.f64 c 178405961588245/11150372599265311570767859136324180752990208) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) a) (if (<=.f64 c 135000000000000000024613520024019925915926528) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c)))))))
(if (<=.f64 c -7301667457314601/81129638414606681695789005144064) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c 8802718417897835/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (+.f64 (/.f64 b d) (.f64 (/.f64 1 d) (.f64 c (/.f64 a d)))) (if (<=.f64 c 178405961588245/11150372599265311570767859136324180752990208) (.f64 a (/.f64 c (+.f64 (.f64 c c) (.f64 d d)))) (if (<=.f64 c 135000000000000000024613520024019925915926528) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 c -6977148903656175/324518553658426726783156020576256) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c 3490733165718107/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b)) (if (<=.f64 c 2526256292021047/174224571863520493293247799005065324265472) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) a) (if (<=.f64 c 80000000000000001114976935675312793045696512) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c)))))))
(if (<=.f64 c -6977148903656175/324518553658426726783156020576256) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c 3490733165718107/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) (.f64 (/.f64 1 d) (+.f64 b (.f64 c (/.f64 a d)))) (if (<=.f64 c 2526256292021047/174224571863520493293247799005065324265472) (.f64 a (/.f64 c (+.f64 (.f64 c c) (.f64 d d)))) (if (<=.f64 c 80000000000000001114976935675312793045696512) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 c -7463926734143815/162259276829213363391578010288128) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c 5463756259384863/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b)) (if (<=.f64 c 7849862309882779/713623846352979940529142984724747568191373312) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) a) (if (<=.f64 c 280000000000000008854179432005115875256434688) (.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b)) (+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))))))
(if (<=.f64 c -7463926734143815/162259276829213363391578010288128) (+.f64 (/.f64 a c) (.f64 (/.f64 d c) (/.f64 b c))) (if (<=.f64 c 5463756259384863/15177100720513508366558296147058741458143803430094840009779784451085189728165691392) (.f64 (/.f64 1 d) (+.f64 b (.f64 c (/.f64 a d)))) (if (<=.f64 c 7849862309882779/713623846352979940529142984724747568191373312) (.f64 a (/.f64 c (+.f64 (.f64 c c) (.f64 d d)))) (if (<=.f64 c 280000000000000008854179432005115875256434688) (.f64 (/.f64 1 d) (+.f64 b (.f64 c (/.f64 a d)))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))))))
(if (<=.f64 c -799999999999999931465206857728) (/.f64 a c) (if (<=.f64 c 3490733165718107/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b)) (if (<=.f64 c 8084020134467351/2787593149816327892691964784081045188247552) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) a) (if (<=.f64 c 10000000000000000910359990503684350104604539951754865571545457374840902895351334152154180097541612190564352) (.f64 (/.f64 1 d) (+.f64 (*.f64 c (/.f64 a d)) b)) (/.f64 a c)))))
(if (<=.f64 c -799999999999999931465206857728) (/.f64 a c) (if (<=.f64 c 3490733165718107/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (.f64 (/.f64 1 d) (+.f64 b (.f64 c (/.f64 a d)))) (if (<=.f64 c 8084020134467351/2787593149816327892691964784081045188247552) (.f64 a (/.f64 c (+.f64 (.f64 c c) (.f64 d d)))) (if (<=.f64 c 10000000000000000910359990503684350104604539951754865571545457374840902895351334152154180097541612190564352) (.f64 (/.f64 1 d) (+.f64 b (*.f64 c (/.f64 a d)))) (/.f64 a c)))))
(if (<=.f64 c -1650000000000000131325872832512) (/.f64 a c) (if (<=.f64 c 31999999999999998024265626409023313290464875663107983305421318801243887738387190836378256880125064169652224) (.f64 (/.f64 1 d) (+.f64 (.f64 c (/.f64 a d)) b)) (/.f64 a c)))
(if (or (<=.f64 c -1650000000000000131325872832512) (not (<=.f64 c 31999999999999998024265626409023313290464875663107983305421318801243887738387190836378256880125064169652224))) (/.f64 a c) (.f64 (/.f64 1 d) (+.f64 b (.f64 c (/.f64 a d)))))
(if (<=.f64 c -269999999999999999739349172224) (/.f64 a c) (if (<=.f64 c 209999999999999986833593945437752508056338432) (/.f64 b d) (/.f64 a c)))
(/.f64 a c)

Compiler

Compiled 677 to 314 computations (53.6% saved)

soundness223.0ms (1.6%)

Algorithm

3×	egg-herbie

Rules

1892×	`distribute-lft-in`
1836×	`associate-/r*`
1526×	`associate-r`
1526×	`associate-r`
1306×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	948	26372
1	2778	26022
0	317	8687
1	853	7463
2	4114	7463
0	948	26372
1	2778	26022

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 121 to 59 computations (51.2% saved)

end112.0ms (0.8%)

Compiler: Compiled 637 to 173 computations (72.8% saved)