Details

analyze403.0ms (2.9%)

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)

sample1.0s (7.3%)

Results

939.0ms	8256×	body	256	valid
55.0ms	499×	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)

simplify11.0ms (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

24.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.0b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 c c) (.f64 d d))
✓	23.6b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 49 to 11 computations (77.6% saved)

series7.0ms (0.1%)

Counts

2 → 72

Calls

18 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)))

rewrite78.0ms (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	46
2	4080	46

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

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

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

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1206×	`distribute-lft-in`
1184×	`distribute-rgt-in`
828×	`associate-/r/`
714×	`associate-/l/`
396×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	7030
1	787	6554
2	3376	6536

Stop Event

1×	node limit

Counts

170 → 178

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

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

eval54.0ms (0.4%)

Compiler: Compiled 4250 to 1802 computations (57.6% saved)

prune44.0ms (0.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	164	14	178
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	164	15	179

Error

0.1b

Counts

179 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	39.6b	(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 2)
	37.0b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 (/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (+.f64 c d)) (-.f64 c d)))
✓	24.0b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	24.5b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))))
▶	41.6b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 d d))
	45.2b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 c c))
	38.2b	(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
	34.9b	(/.f64 b d)
▶	39.8b	(/.f64 a c)
	29.1b	(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
▶	38.8b	(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
	35.6b	(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
	52.7b	(.f64 (fma.f64 c a (.f64 d b)) (/.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 d c) 2)) (+.f64 (pow.f64 c 6) (pow.f64 d 6))))
▶	24.3b	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
▶	14.0b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))

Compiler

Compiled 507 to 319 computations (37.1% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (hypot.f64 c d))
✓	0.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
✓	13.0b	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series12.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite108.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1696×	`associate-*l/`
1220×	`associate-/r*`
1142×	`associate-/l*`
452×	`distribute-lft-in`
344×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	79
1	284	73
2	3557	73

Stop Event

1×	node limit

Counts

3 → 303

Calls

Call 1

Inputs
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.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 a c) (hypot.f64 c d)) (/.f64 (.f64 b d) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 b d) (hypot.f64 c d)) (/.f64 (.f64 a c) (hypot.f64 c d)))))) (#(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 (.f64 1 (/.f64 (.f64 a c) (hypot.f64 c d))) (.f64 1 (/.f64 (.f64 b d) (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 (.f64 a c) (/.f64 1 (hypot.f64 c d)))) (.f64 1 (.f64 (.f64 b d) (/.f64 1 (hypot.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (hypot.f64 c d)) (.f64 (.f64 a c) 1)) (/.f64 (.f64 b d) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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Outputs

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

((#(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 (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))))))))

simplify234.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1550×	`associate-/r*`
1350×	`associate-r`
1084×	`associate-l`
1074×	`associate-/l/`
790×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	852	23449
1	2398	21529

Stop Event

1×	node limit

Counts

423 → 552

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

localize27.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	2.4b	(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
✓	6.1b	(.f64 (/.f64 b (.f64 c c)) d)
✓	9.0b	(/.f64 b (*.f64 c c))

Compiler

Compiled 37 to 9 computations (75.7% saved)

series10.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1708×	`associate-/l*`
544×	`distribute-lft-neg-in`
542×	`distribute-rgt-in`
508×	`distribute-lft-in`
504×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	243	59
2	3650	59

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

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

Outputs

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

simplify113.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

704×	`distribute-lft-neg-in`
652×	`distribute-rgt-neg-in`
566×	`associate-r`
500×	`distribute-rgt-neg-out`
494×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	390	8408
1	1110	7940
2	5063	7930

Stop Event

1×	node limit

Counts

252 → 226

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	16.7b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 d d))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1602×	`associate-*r/`
1378×	`associate-*l/`
1116×	`associate-/r*`
976×	`associate-/l*`
252×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	237	27
2	3362	27

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1820×	`associate-+r+`
1528×	`associate-+l+`
690×	`associate-*r/`
552×	`unswap-sqr`
480×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	2275
1	247	2263
2	891	2113
3	4572	2113

Stop Event

1×	node limit

Counts

81 → 51

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (hypot.f64 c d) 2)
✓	0.8b	(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
✓	23.1b	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))

Compiler

Compiled 48 to 20 computations (58.3% saved)

series7.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	c	@	inf	(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
1.0ms	d	@	inf	(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
1.0ms	c	@	0	(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
1.0ms	d	@	0	(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
0.0ms	c	@	0	(pow.f64 (hypot.f64 c d) 2)

rewrite98.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1092×	`unswap-sqr`
844×	`swap-sqr`
690×	`associate-*r/`
526×	`associate-*l/`
518×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	59
1	306	59
2	3556	59

Stop Event

1×	node limit

Counts

3 → 222

Calls

Call 1

Inputs
(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 1 (pow.f64 (hypot.f64 c d) 2))
(pow.f64 (hypot.f64 c d) 2)

Outputs

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simplify364.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1022×	`associate-r`
972×	`associate-/l*`
880×	`times-frac`
874×	`associate-l`
742×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	667	14068
1	1814	12912

Stop Event

1×	node limit

Counts

318 → 386

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

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

eval357.0ms (2.6%)

Compiler: Compiled 30651 to 10768 computations (64.9% saved)

prune331.0ms (2.4%)

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	1200	15	1215
Fresh	8	1	9
Picked	1	0	1
Done	1	4	5
Total	1210	20	1230

Error

0.0b

Counts

1230 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	38.9b	(fma.f64 a (/.f64 1 c) (.f64 d (/.f64 b (.f64 c c))))
✓	24.0b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
✓	41.6b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 d d))
▶	34.9b	(/.f64 b d)
✓	39.8b	(/.f64 a c)
	49.4b	(+.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 2) (/.f64 a c))
	35.3b	(+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c b)) c))
	37.4b	(+.f64 (/.f64 a c) (/.f64 d (*.f64 (/.f64 c b) c)))
	35.6b	(+.f64 (/.f64 a c) (/.f64 b (/.f64 c (/.f64 d c))))
✓	38.8b	(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
	37.0b	(.f64 (/.f64 (fma.f64 a c (.f64 b d)) d) (/.f64 1 d))
▶	35.5b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
	49.4b	(*.f64 (/.f64 a d) (/.f64 c d))
▶	6.0b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 (.f64 c a) (hypot.f64 c d))))
▶	43.1b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))
	45.8b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))
	41.6b	(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 -1 (+.f64 b (/.f64 c (/.f64 d a)))))
▶	42.0b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
	35.0b	(.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a))
	51.4b	(.f64 a (/.f64 c (.f64 d d)))

Compiler

Compiled 540 to 340 computations (37% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (hypot.f64 c d))
✓	0.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 (.f64 c a) (hypot.f64 c d))))
✓	3.5b	(/.f64 b (/.f64 (hypot.f64 c d) d))
✓	6.7b	(/.f64 (*.f64 c a) (hypot.f64 c d))

Compiler

Compiled 75 to 16 computations (78.7% saved)

series19.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite118.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1842×	`associate-/r/`
1356×	`associate-/l/`
352×	`add-sqr-sqrt`
348×	`*-un-lft-identity`
346×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	93
1	338	89
2	5334	89

Stop Event

1×	node limit

Counts

3 → 229

Calls

Call 1

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

Outputs

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

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

simplify169.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1368×	`associate-/l*`
1330×	`associate-*r/`
1326×	`associate-/r*`
1116×	`associate-*l/`
692×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1007	20551
1	3223	20167

Stop Event

1×	node limit

Counts

349 → 514

Calls

Call 1

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

Outputs
(/.f64 (*.f64 c a) d)
(/.f64 c (/.f64 d a))
(*.f64 (/.f64 c d) a)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (/.f64 (*.f64 c a) d))
(fma.f64 -1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3)) (/.f64 c (/.f64 d a)))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) a) (.f64 (/.f64 c d) a))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (+.f64 (/.f64 (.f64 c a) d) (.f64 -1 (.f64 (pow.f64 c 5) (+.f64 (.f64 -1/4 (/.f64 a (pow.f64 d 5))) (*.f64 -1/8 (/.f64 a (pow.f64 d 5))))))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 3)) (/.f64 c (/.f64 d a))) (neg.f64 (.f64 (pow.f64 c 5) (*.f64 (/.f64 a (pow.f64 d 5)) -3/8))))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) a) (.f64 (/.f64 c d) a)) (neg.f64 (.f64 (pow.f64 c 5) (/.f64 (.f64 a -3/8) (pow.f64 d 5)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 c 7) (+.f64 (.f64 1/8 (/.f64 a (pow.f64 d 7))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 a (pow.f64 d 5))) (.f64 -1/8 (/.f64 a (pow.f64 d 5)))) (pow.f64 d 2)))))) (+.f64 (/.f64 (.f64 c a) d) (.f64 -1 (.f64 (pow.f64 c 5) (+.f64 (.f64 -1/4 (/.f64 a (pow.f64 d 5))) (*.f64 -1/8 (/.f64 a (pow.f64 d 5)))))))))
(fma.f64 -1/2 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 3)) (fma.f64 -1 (.f64 (pow.f64 c 7) (fma.f64 1/8 (/.f64 a (pow.f64 d 7)) (.f64 -1/2 (/.f64 (.f64 (/.f64 a (pow.f64 d 5)) -3/8) (.f64 d d))))) (+.f64 (/.f64 c (/.f64 d a)) (neg.f64 (.f64 (pow.f64 c 5) (*.f64 (/.f64 a (pow.f64 d 5)) -3/8))))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) a) (fma.f64 -1 (.f64 (pow.f64 c 7) (fma.f64 1/8 (/.f64 a (pow.f64 d 7)) (/.f64 (.f64 -1/2 (/.f64 (.f64 a -3/8) (pow.f64 d 5))) (.f64 d d)))) (+.f64 (.f64 (/.f64 c d) a) (neg.f64 (.f64 (pow.f64 c 5) (/.f64 (.f64 a -3/8) (pow.f64 d 5)))))))
a
(+.f64 a (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))))
(+.f64 a (.f64 -1/2 (/.f64 (.f64 a (.f64 d d)) (.f64 c c))))
(+.f64 a (.f64 -1/2 (/.f64 a (/.f64 (.f64 c c) (*.f64 d d)))))
(+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 a (pow.f64 d 4))) (.f64 -1/4 (*.f64 a (pow.f64 d 4)))) (pow.f64 c 4)))))
(+.f64 a (fma.f64 -1/2 (/.f64 (.f64 a (.f64 d d)) (.f64 c c)) (neg.f64 (/.f64 (.f64 (*.f64 a (pow.f64 d 4)) -3/8) (pow.f64 c 4)))))
(+.f64 a (fma.f64 -1/2 (/.f64 a (/.f64 (.f64 c c) (.f64 d d))) (neg.f64 (/.f64 (*.f64 a (pow.f64 d 4)) (/.f64 (pow.f64 c 4) -3/8)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/8 (.f64 a (pow.f64 d 4))) (.f64 -1/4 (.f64 a (pow.f64 d 4)))))) (.f64 1/8 (.f64 a (pow.f64 d 6)))) (pow.f64 c 6))) (+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 a (pow.f64 d 4))) (.f64 -1/4 (.f64 a (pow.f64 d 4)))) (pow.f64 c 4))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (.f64 (.f64 d d) (.f64 (.f64 a (pow.f64 d 4)) -3/8)) (.f64 1/8 (.f64 a (pow.f64 d 6)))) (pow.f64 c 6)) (+.f64 a (fma.f64 -1/2 (/.f64 (.f64 a (.f64 d d)) (.f64 c c)) (neg.f64 (/.f64 (.f64 (*.f64 a (pow.f64 d 4)) -3/8) (pow.f64 c 4))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (.f64 (.f64 d d) (.f64 (.f64 a (pow.f64 d 4)) -3/8)) (.f64 1/8 (.f64 a (pow.f64 d 6)))) (pow.f64 c 6)) (+.f64 a (fma.f64 -1/2 (/.f64 a (/.f64 (.f64 c c) (.f64 d d))) (neg.f64 (/.f64 (*.f64 a (pow.f64 d 4)) (/.f64 (pow.f64 c 4) -3/8))))))
(*.f64 -1 a)
(neg.f64 a)
(+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (*.f64 -1 a))
(fma.f64 1/2 (/.f64 (.f64 a (.f64 d d)) (*.f64 c c)) (neg.f64 a))
(fma.f64 1/2 (/.f64 a (/.f64 (.f64 c c) (.f64 d d))) (neg.f64 a))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 4))) (+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 4))) (*.f64 -1 a))))
(fma.f64 1/2 (/.f64 (.f64 a (.f64 d d)) (.f64 c c)) (fma.f64 -1/4 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 4)) (fma.f64 -1/8 (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 4)) (neg.f64 a))))
(+.f64 (.f64 (pow.f64 d 4) (/.f64 (.f64 a -3/8) (pow.f64 c 4))) (fma.f64 1/2 (/.f64 a (/.f64 (.f64 c c) (.f64 d d))) (neg.f64 a)))
(+.f64 (.f64 1/8 (/.f64 (.f64 a (pow.f64 d 6)) (pow.f64 c 6))) (+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/8 (.f64 a (pow.f64 d 4))) (.f64 -1/4 (.f64 a (pow.f64 d 4))))) (pow.f64 c 6))) (+.f64 (.f64 -1/4 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 4))) (+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 4))) (*.f64 -1 a))))))
(fma.f64 1/8 (/.f64 (.f64 a (pow.f64 d 6)) (pow.f64 c 6)) (fma.f64 1/2 (/.f64 (.f64 a (.f64 d d)) (.f64 c c)) (fma.f64 -1/2 (/.f64 (.f64 d d) (/.f64 (pow.f64 c 6) (.f64 (.f64 a (pow.f64 d 4)) -3/8))) (fma.f64 -1/4 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 4)) (fma.f64 -1/8 (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 4)) (neg.f64 a))))))
(fma.f64 1/8 (.f64 (/.f64 a (pow.f64 c 6)) (pow.f64 d 6)) (fma.f64 1/2 (/.f64 a (/.f64 (.f64 c c) (.f64 d d))) (fma.f64 -1/2 (.f64 (/.f64 (.f64 d d) (pow.f64 c 6)) (.f64 (.f64 a (pow.f64 d 4)) -3/8)) (+.f64 (neg.f64 a) (.f64 (pow.f64 d 4) (/.f64 (*.f64 a -3/8) (pow.f64 c 4)))))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))))
a
(+.f64 a (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))))
(+.f64 a (.f64 -1/2 (/.f64 (.f64 a (.f64 d d)) (.f64 c c))))
(+.f64 a (.f64 -1/2 (/.f64 a (/.f64 (.f64 c c) (*.f64 d d)))))
(+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (.f64 -1 (.f64 (pow.f64 d 4) (+.f64 (.f64 -1/4 (/.f64 a (pow.f64 c 4))) (.f64 -1/8 (/.f64 a (pow.f64 c 4))))))))
(+.f64 a (fma.f64 -1/2 (/.f64 (.f64 a (.f64 d d)) (.f64 c c)) (neg.f64 (.f64 (pow.f64 d 4) (*.f64 (/.f64 a (pow.f64 c 4)) -3/8)))))
(+.f64 a (fma.f64 -1/2 (/.f64 a (/.f64 (.f64 c c) (.f64 d d))) (neg.f64 (.f64 (pow.f64 d 4) (/.f64 (.f64 a -3/8) (pow.f64 c 4))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 d 6) (+.f64 (.f64 1/8 (/.f64 a (pow.f64 c 6))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 a (pow.f64 c 4))) (.f64 -1/8 (/.f64 a (pow.f64 c 4)))) (pow.f64 c 2)))))) (+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (.f64 -1 (.f64 (pow.f64 d 4) (+.f64 (.f64 -1/4 (/.f64 a (pow.f64 c 4))) (.f64 -1/8 (/.f64 a (pow.f64 c 4)))))))))
(fma.f64 -1 (.f64 (pow.f64 d 6) (fma.f64 1/8 (/.f64 a (pow.f64 c 6)) (.f64 -1/2 (/.f64 (.f64 (/.f64 a (pow.f64 c 4)) -3/8) (.f64 c c))))) (+.f64 a (fma.f64 -1/2 (/.f64 (.f64 a (.f64 d d)) (.f64 c c)) (neg.f64 (.f64 (pow.f64 d 4) (*.f64 (/.f64 a (pow.f64 c 4)) -3/8))))))
(fma.f64 -1 (.f64 (pow.f64 d 6) (fma.f64 1/8 (/.f64 a (pow.f64 c 6)) (.f64 -1/2 (/.f64 (/.f64 a (pow.f64 c 4)) (/.f64 (.f64 c c) -3/8))))) (+.f64 a (fma.f64 -1/2 (/.f64 a (/.f64 (.f64 c c) (.f64 d d))) (neg.f64 (.f64 (pow.f64 d 4) (/.f64 (*.f64 a -3/8) (pow.f64 c 4)))))))
(/.f64 (*.f64 c a) d)
(/.f64 c (/.f64 d a))
(*.f64 (/.f64 c d) a)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (/.f64 (*.f64 c a) d))
(fma.f64 -1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3)) (/.f64 c (/.f64 d a)))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) a) (.f64 (/.f64 c d) a))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 5) a)) (.f64 -1/8 (.f64 (pow.f64 c 5) a))) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (/.f64 (.f64 c a) d)))
(fma.f64 -1 (/.f64 (.f64 (.f64 a (pow.f64 c 5)) -3/8) (pow.f64 d 5)) (fma.f64 -1/2 (/.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 d 3)) (/.f64 c (/.f64 d a))))
(fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 5)) (/.f64 (pow.f64 d 5) -3/8)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) a) (*.f64 (/.f64 c d) a)))
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b
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b
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(/.f64 (+.f64 (.f64 (neg.f64 b) (neg.f64 (hypot.f64 c d))) (.f64 (/.f64 (neg.f64 (hypot.f64 c d)) d) (.f64 c (neg.f64 a)))) (.f64 (hypot.f64 c d) (*.f64 (/.f64 (neg.f64 (hypot.f64 c d)) d) (neg.f64 (hypot.f64 c d)))))
(/.f64 (fma.f64 (neg.f64 b) (neg.f64 (hypot.f64 c d)) (.f64 c (.f64 (neg.f64 a) (neg.f64 (/.f64 (hypot.f64 c d) d))))) (.f64 (hypot.f64 c d) (.f64 (neg.f64 (hypot.f64 c d)) (neg.f64 (/.f64 (hypot.f64 c d) d)))))
(/.f64 (fma.f64 (.f64 c (neg.f64 a)) (/.f64 (neg.f64 (hypot.f64 c d)) d) (.f64 (neg.f64 (hypot.f64 c d)) (neg.f64 b))) (*.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 c d) 2)) d) (neg.f64 (hypot.f64 c d))))
(/.f64 (.f64 -1 (-.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 2) (pow.f64 (/.f64 a (/.f64 (hypot.f64 c d) c)) 2))) (.f64 (neg.f64 (hypot.f64 c d)) (-.f64 (.f64 b (/.f64 d (hypot.f64 c d))) (/.f64 a (/.f64 (hypot.f64 c d) c)))))
(/.f64 (-.f64 (pow.f64 (.f64 d (/.f64 b (hypot.f64 c d))) 2) (pow.f64 (.f64 a (/.f64 c (hypot.f64 c d))) 2)) (.f64 (hypot.f64 c d) (-.f64 (.f64 d (/.f64 b (hypot.f64 c d))) (*.f64 a (/.f64 c (hypot.f64 c d))))))
(/.f64 (.f64 -1 (+.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 3) (pow.f64 (/.f64 a (/.f64 (hypot.f64 c d) c)) 3))) (.f64 (neg.f64 (hypot.f64 c d)) (+.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 2) (-.f64 (pow.f64 (/.f64 a (/.f64 (hypot.f64 c d) c)) 2) (.f64 (/.f64 b (/.f64 (pow.f64 (hypot.f64 c d) 2) d)) (.f64 c a))))))
(/.f64 (+.f64 (pow.f64 (.f64 a (/.f64 c (hypot.f64 c d))) 3) (pow.f64 (.f64 d (/.f64 b (hypot.f64 c d))) 3)) (.f64 (hypot.f64 c d) (+.f64 (pow.f64 (.f64 d (/.f64 b (hypot.f64 c d))) 2) (-.f64 (pow.f64 (.f64 a (/.f64 c (hypot.f64 c d))) 2) (.f64 (*.f64 c a) (/.f64 b (/.f64 (pow.f64 (hypot.f64 c d) 2) d)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (/.f64 c (hypot.f64 c d))) 3) (pow.f64 (.f64 d (/.f64 b (hypot.f64 c d))) 3)) (hypot.f64 c d)) (-.f64 (pow.f64 (.f64 a (/.f64 c (hypot.f64 c d))) 2) (-.f64 (.f64 (.f64 c a) (/.f64 (.f64 d b) (pow.f64 (hypot.f64 c d) 2))) (pow.f64 (*.f64 d (/.f64 b (hypot.f64 c d))) 2))))
(/.f64 (.f64 -1 (fma.f64 b (hypot.f64 c d) (/.f64 (.f64 c a) (/.f64 d (hypot.f64 c d))))) (*.f64 (neg.f64 (hypot.f64 c d)) (/.f64 (pow.f64 (hypot.f64 c d) 2) d)))
(/.f64 (fma.f64 b (hypot.f64 c d) (/.f64 (*.f64 c a) (/.f64 d (hypot.f64 c d)))) (/.f64 (pow.f64 (hypot.f64 c d) 3) d))
(/.f64 (fma.f64 b (hypot.f64 c d) (*.f64 (/.f64 (hypot.f64 c d) (/.f64 d c)) a)) (/.f64 (pow.f64 (hypot.f64 c d) 3) d))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 2) (pow.f64 (/.f64 a (/.f64 (hypot.f64 c d) c)) 2)) 1) (.f64 (-.f64 (.f64 b (/.f64 d (hypot.f64 c d))) (/.f64 a (/.f64 (hypot.f64 c d) c))) (hypot.f64 c d)))
(/.f64 (-.f64 (pow.f64 (.f64 d (/.f64 b (hypot.f64 c d))) 2) (pow.f64 (.f64 a (/.f64 c (hypot.f64 c d))) 2)) (.f64 (hypot.f64 c d) (-.f64 (.f64 d (/.f64 b (hypot.f64 c d))) (*.f64 a (/.f64 c (hypot.f64 c d))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 2) (pow.f64 (/.f64 a (/.f64 (hypot.f64 c d) c)) 2)) -1) (.f64 (-.f64 (.f64 b (/.f64 d (hypot.f64 c d))) (/.f64 a (/.f64 (hypot.f64 c d) c))) (neg.f64 (hypot.f64 c d))))
(/.f64 (-.f64 (pow.f64 (.f64 d (/.f64 b (hypot.f64 c d))) 2) (pow.f64 (.f64 a (/.f64 c (hypot.f64 c d))) 2)) (.f64 (hypot.f64 c d) (-.f64 (.f64 d (/.f64 b (hypot.f64 c d))) (*.f64 a (/.f64 c (hypot.f64 c d))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 3) (pow.f64 (/.f64 a (/.f64 (hypot.f64 c d) c)) 3)) 1) (.f64 (+.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 2) (-.f64 (pow.f64 (/.f64 a (/.f64 (hypot.f64 c d) c)) 2) (.f64 (/.f64 b (/.f64 (pow.f64 (hypot.f64 c d) 2) d)) (.f64 c a)))) (hypot.f64 c d)))
(/.f64 (+.f64 (pow.f64 (.f64 a (/.f64 c (hypot.f64 c d))) 3) (pow.f64 (.f64 d (/.f64 b (hypot.f64 c d))) 3)) (.f64 (hypot.f64 c d) (+.f64 (pow.f64 (.f64 d (/.f64 b (hypot.f64 c d))) 2) (-.f64 (pow.f64 (.f64 a (/.f64 c (hypot.f64 c d))) 2) (.f64 (*.f64 c a) (/.f64 b (/.f64 (pow.f64 (hypot.f64 c d) 2) d)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (/.f64 c (hypot.f64 c d))) 3) (pow.f64 (.f64 d (/.f64 b (hypot.f64 c d))) 3)) (hypot.f64 c d)) (-.f64 (pow.f64 (.f64 a (/.f64 c (hypot.f64 c d))) 2) (-.f64 (.f64 (.f64 c a) (/.f64 (.f64 d b) (pow.f64 (hypot.f64 c d) 2))) (pow.f64 (*.f64 d (/.f64 b (hypot.f64 c d))) 2))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 3) (pow.f64 (/.f64 a (/.f64 (hypot.f64 c d) c)) 3)) -1) (.f64 (+.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 2) (-.f64 (pow.f64 (/.f64 a (/.f64 (hypot.f64 c d) c)) 2) (.f64 (/.f64 b (/.f64 (pow.f64 (hypot.f64 c d) 2) d)) (.f64 c a)))) (neg.f64 (hypot.f64 c d))))
(/.f64 (+.f64 (pow.f64 (.f64 a (/.f64 c (hypot.f64 c d))) 3) (pow.f64 (.f64 d (/.f64 b (hypot.f64 c d))) 3)) (.f64 (hypot.f64 c d) (+.f64 (pow.f64 (.f64 d (/.f64 b (hypot.f64 c d))) 2) (-.f64 (pow.f64 (.f64 a (/.f64 c (hypot.f64 c d))) 2) (.f64 (*.f64 c a) (/.f64 b (/.f64 (pow.f64 (hypot.f64 c d) 2) d)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (/.f64 c (hypot.f64 c d))) 3) (pow.f64 (.f64 d (/.f64 b (hypot.f64 c d))) 3)) (hypot.f64 c d)) (-.f64 (pow.f64 (.f64 a (/.f64 c (hypot.f64 c d))) 2) (-.f64 (.f64 (.f64 c a) (/.f64 (.f64 d b) (pow.f64 (hypot.f64 c d) 2))) (pow.f64 (*.f64 d (/.f64 b (hypot.f64 c d))) 2))))
(/.f64 (.f64 (fma.f64 b (hypot.f64 c d) (/.f64 (.f64 c a) (/.f64 d (hypot.f64 c d)))) 1) (*.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) d) (hypot.f64 c d)))
(/.f64 (fma.f64 b (hypot.f64 c d) (/.f64 (*.f64 c a) (/.f64 d (hypot.f64 c d)))) (/.f64 (pow.f64 (hypot.f64 c d) 3) d))
(/.f64 (fma.f64 b (hypot.f64 c d) (*.f64 (/.f64 (hypot.f64 c d) (/.f64 d c)) a)) (/.f64 (pow.f64 (hypot.f64 c d) 3) d))
(/.f64 (.f64 (fma.f64 b (hypot.f64 c d) (/.f64 (.f64 c a) (/.f64 d (hypot.f64 c d)))) -1) (*.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) d) (neg.f64 (hypot.f64 c d))))
(/.f64 (fma.f64 b (hypot.f64 c d) (/.f64 (*.f64 c a) (/.f64 d (hypot.f64 c d)))) (/.f64 (pow.f64 (hypot.f64 c d) 3) d))
(/.f64 (fma.f64 b (hypot.f64 c d) (*.f64 (/.f64 (hypot.f64 c d) (/.f64 d c)) a)) (/.f64 (pow.f64 (hypot.f64 c d) 3) d))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 2) (pow.f64 (/.f64 a (/.f64 (hypot.f64 c d) c)) 2))) (.f64 (hypot.f64 c d) (neg.f64 (-.f64 (*.f64 b (/.f64 d (hypot.f64 c d))) (/.f64 a (/.f64 (hypot.f64 c d) c))))))
(/.f64 (-.f64 (pow.f64 (.f64 d (/.f64 b (hypot.f64 c d))) 2) (pow.f64 (.f64 a (/.f64 c (hypot.f64 c d))) 2)) (.f64 (hypot.f64 c d) (-.f64 (.f64 d (/.f64 b (hypot.f64 c d))) (*.f64 a (/.f64 c (hypot.f64 c d))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 3) (pow.f64 (/.f64 a (/.f64 (hypot.f64 c d) c)) 3))) (.f64 (hypot.f64 c d) (neg.f64 (+.f64 (pow.f64 (.f64 b (/.f64 d (hypot.f64 c d))) 2) (-.f64 (pow.f64 (/.f64 a (/.f64 (hypot.f64 c d) c)) 2) (.f64 (/.f64 b (/.f64 (pow.f64 (hypot.f64 c d) 2) d)) (*.f64 c a)))))))
(/.f64 (+.f64 (pow.f64 (.f64 a (/.f64 c (hypot.f64 c d))) 3) (pow.f64 (.f64 d (/.f64 b (hypot.f64 c d))) 3)) (.f64 (hypot.f64 c d) (+.f64 (pow.f64 (.f64 d (/.f64 b (hypot.f64 c d))) 2) (-.f64 (pow.f64 (.f64 a (/.f64 c (hypot.f64 c d))) 2) (.f64 (*.f64 c a) (/.f64 b (/.f64 (pow.f64 (hypot.f64 c d) 2) d)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (/.f64 c (hypot.f64 c d))) 3) (pow.f64 (.f64 d (/.f64 b (hypot.f64 c d))) 3)) (hypot.f64 c d)) (-.f64 (pow.f64 (.f64 a (/.f64 c (hypot.f64 c d))) 2) (-.f64 (.f64 (.f64 c a) (/.f64 (.f64 d b) (pow.f64 (hypot.f64 c d) 2))) (pow.f64 (*.f64 d (/.f64 b (hypot.f64 c d))) 2))))
(/.f64 (neg.f64 (fma.f64 b (hypot.f64 c d) (/.f64 (.f64 c a) (/.f64 d (hypot.f64 c d))))) (.f64 (hypot.f64 c d) (neg.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) d))))
(/.f64 (fma.f64 b (hypot.f64 c d) (/.f64 (*.f64 c a) (/.f64 d (hypot.f64 c d)))) (/.f64 (pow.f64 (hypot.f64 c d) 3) d))
(/.f64 (fma.f64 b (hypot.f64 c d) (*.f64 (/.f64 (hypot.f64 c d) (/.f64 d c)) a)) (/.f64 (pow.f64 (hypot.f64 c d) 3) d))
(/.f64 (neg.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (/.f64 a (/.f64 (hypot.f64 c d) c)))) (neg.f64 (hypot.f64 c d)))
(.f64 (/.f64 1 (hypot.f64 c d)) (fma.f64 b (/.f64 d (hypot.f64 c d)) (.f64 a (/.f64 c (hypot.f64 c d)))))
(pow.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (/.f64 a (/.f64 (hypot.f64 c d) c))) (hypot.f64 c d)) 1)
(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (*.f64 a (/.f64 c (hypot.f64 c d)))) (hypot.f64 c d))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (/.f64 a (/.f64 (hypot.f64 c d) c))) (hypot.f64 c d))) 2)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (*.f64 a (/.f64 c (hypot.f64 c d)))) (hypot.f64 c d))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (/.f64 a (/.f64 (hypot.f64 c d) c))) (hypot.f64 c d))) 3)
(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (*.f64 a (/.f64 c (hypot.f64 c d)))) (hypot.f64 c d))
(pow.f64 (pow.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (/.f64 a (/.f64 (hypot.f64 c d) c))) (hypot.f64 c d)) 3) 1/3)
(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (*.f64 a (/.f64 c (hypot.f64 c d)))) (hypot.f64 c d))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (/.f64 a (/.f64 (hypot.f64 c d) c))) (hypot.f64 c d)) 2))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (*.f64 a (/.f64 c (hypot.f64 c d)))) (hypot.f64 c d)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (/.f64 a (/.f64 (hypot.f64 c d) c))) (hypot.f64 c d))))
(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (*.f64 a (/.f64 c (hypot.f64 c d)))) (hypot.f64 c d))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (/.f64 a (/.f64 (hypot.f64 c d) c))) (hypot.f64 c d)))))
(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (*.f64 a (/.f64 c (hypot.f64 c d)))) (hypot.f64 c d))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (/.f64 a (/.f64 (hypot.f64 c d) c))) (hypot.f64 c d)) 3))
(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (*.f64 a (/.f64 c (hypot.f64 c d)))) (hypot.f64 c d))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 3)) (pow.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (/.f64 a (/.f64 (hypot.f64 c d) c))) 3)))
(cbrt.f64 (.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 3)) (pow.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (.f64 a (/.f64 c (hypot.f64 c d)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (/.f64 a (/.f64 (hypot.f64 c d) c))) 3) (/.f64 1 (pow.f64 (hypot.f64 c d) 3))))
(cbrt.f64 (.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 3)) (pow.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (.f64 a (/.f64 c (hypot.f64 c d)))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (/.f64 a (/.f64 (hypot.f64 c d) c))) 3) (pow.f64 (hypot.f64 c d) 3)))
(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (*.f64 a (/.f64 c (hypot.f64 c d)))) (hypot.f64 c d))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (/.f64 a (/.f64 (hypot.f64 c d) c))) (hypot.f64 c d))))
(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (*.f64 a (/.f64 c (hypot.f64 c d)))) (hypot.f64 c d))
(exp.f64 (log.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (/.f64 a (/.f64 (hypot.f64 c d) c))) (hypot.f64 c d))))
(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (*.f64 a (/.f64 c (hypot.f64 c d)))) (hypot.f64 c d))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (/.f64 a (/.f64 (hypot.f64 c d) c))) (hypot.f64 c d))) 1))
(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (*.f64 a (/.f64 c (hypot.f64 c d)))) (hypot.f64 c d))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (/.f64 a (/.f64 (hypot.f64 c d) c))) (hypot.f64 c d))))
(/.f64 (fma.f64 b (/.f64 d (hypot.f64 c d)) (*.f64 a (/.f64 c (hypot.f64 c d)))) (hypot.f64 c d))
(fma.f64 (.f64 b (/.f64 d (hypot.f64 c d))) (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) 2)))
(fma.f64 (.f64 d (/.f64 b (hypot.f64 c d))) (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) 2)))
(+.f64 (.f64 (/.f64 c (pow.f64 (hypot.f64 c d) 2)) a) (/.f64 (.f64 d (/.f64 b (hypot.f64 c d))) (hypot.f64 c d)))
(fma.f64 (/.f64 1 (hypot.f64 c d)) (.f64 b (/.f64 d (hypot.f64 c d))) (/.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) 2)))
(fma.f64 (.f64 d (/.f64 b (hypot.f64 c d))) (/.f64 1 (hypot.f64 c d)) (/.f64 (.f64 c a) (pow.f64 (hypot.f64 c d) 2)))
(+.f64 (.f64 (/.f64 c (pow.f64 (hypot.f64 c d) 2)) a) (/.f64 (.f64 d (/.f64 b (hypot.f64 c d))) (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
✓	0.0b	(+.f64 (.f64 d d) (.f64 c c))
✓	3.6b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
✓	15.6b	(/.f64 c (+.f64 (.f64 d d) (.f64 c c)))

Compiler

Compiled 40 to 9 computations (77.5% saved)

series5.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite182.0ms (1.3%)

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	63
1	217	57
2	3069	57

Stop Event

1×	node limit

Counts

3 → 276

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 c (pow.f64 (hypot.f64 c d) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (pow.f64 (hypot.f64 c d) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 c (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c) (hypot.f64 c d)) (/.f64 (sqrt.f64 c) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (/.f64 (sqrt.f64 c) (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 c (pow.f64 (hypot.f64 c d) 2))) (pow.f64 (cbrt.f64 (/.f64 c (pow.f64 (hypot.f64 c d) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 c (pow.f64 (hypot.f64 c d) 2))) (/.f64 (cbrt.f64 (*.f64 c c)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify153.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1022×	`associate-/r*`
812×	`associate-/l/`
762×	`associate-r`
688×	`associate-/r/`
674×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	723	14486
1	1952	14124

Stop Event

1×	node limit

Counts

360 → 417

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

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 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 (*.f64 d d) (pow.f64 c 3)))
(+.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 (*.f64 d d) (pow.f64 c 3))) (/.f64 (pow.f64 d 4) (pow.f64 c 5)))
(+.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 (pow.f64 d 4) (pow.f64 c 5)) (+.f64 (/.f64 1 c) (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 (*.f64 d d) (pow.f64 c 3)))
(/.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 (*.f64 d d) (pow.f64 c 3)))
(+.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 (*.f64 d d) (pow.f64 c 3))) (/.f64 (pow.f64 d 4) (pow.f64 c 5)))
(+.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 (pow.f64 d 4) (pow.f64 c 5)) (+.f64 (/.f64 1 c) (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 (*.f64 d d) (pow.f64 c 3)))
(/.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 (*.f64 d d) (pow.f64 c 3)))
(+.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 (*.f64 d d) (pow.f64 c 3))) (/.f64 (pow.f64 d 4) (pow.f64 c 5)))
(+.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 (pow.f64 d 4) (pow.f64 c 5)) (+.f64 (/.f64 1 c) (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 (*.f64 d d) (pow.f64 c 3)))
(/.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 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 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(.f64 (/.f64 c (.f64 d d)) a)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (/.f64 c (/.f64 (*.f64 d d) a)))
(-.f64 (.f64 (/.f64 c (.f64 d d)) a) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 c (/.f64 (.f64 d d) a)) (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6))))
(+.f64 (-.f64 (.f64 (/.f64 c (.f64 d d)) a) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a))) (/.f64 (pow.f64 c 5) (/.f64 (pow.f64 d 6) a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (fma.f64 -1 (/.f64 (pow.f64 c 7) (/.f64 (pow.f64 d 8) a)) (/.f64 c (/.f64 (.f64 d d) a)))))
(+.f64 (-.f64 (/.f64 (pow.f64 c 5) (/.f64 (pow.f64 d 6) a)) (/.f64 (pow.f64 c 7) (/.f64 (pow.f64 d 8) a))) (-.f64 (.f64 (/.f64 c (.f64 d d)) a) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d)))))
(-.f64 (/.f64 a 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 a (pow.f64 d 4)) (pow.f64 c 5))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4)))))
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(/.f64 (-.f64 (pow.f64 d 12) (pow.f64 c 12)) (.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))) (-.f64 (pow.f64 d 6) (pow.f64 c 6))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (.f64 c c) (.f64 d d)))
(/.f64 (neg.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (neg.f64 (-.f64 (.f64 d d) (.f64 c c))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (.f64 1 (-.f64 (.f64 c c) (*.f64 d d))))
(/.f64 (neg.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (neg.f64 (-.f64 (.f64 d d) (.f64 c c))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (.f64 c c) (.f64 d d)))
(/.f64 (-.f64 (.f64 (pow.f64 d 4) (pow.f64 d 4)) (.f64 (pow.f64 c 4) (pow.f64 c 4))) (.f64 (-.f64 (.f64 d d) (*.f64 c c)) (+.f64 (pow.f64 d 4) (pow.f64 c 4))))
(/.f64 (-.f64 (pow.f64 d 8) (pow.f64 c 8)) (.f64 (-.f64 (.f64 d d) (*.f64 c c)) (+.f64 (pow.f64 d 4) (pow.f64 c 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 d 8) (pow.f64 c 8)) (+.f64 (pow.f64 d 4) (pow.f64 c 4))) (-.f64 (.f64 d d) (.f64 c c)))
(/.f64 (+.f64 (pow.f64 (pow.f64 d 6) 3) (pow.f64 (pow.f64 c 6) 3)) (.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2)) (+.f64 (.f64 (pow.f64 d 6) (pow.f64 d 6)) (-.f64 (.f64 (pow.f64 c 6) (pow.f64 c 6)) (*.f64 (pow.f64 d 6) (pow.f64 c 6))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 d 6) 3) (pow.f64 (pow.f64 c 6) 3)) (.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2))) (+.f64 (pow.f64 d 12) (*.f64 (pow.f64 c 6) (-.f64 (pow.f64 c 6) (pow.f64 d 6))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 d 6) 3) (pow.f64 (pow.f64 c 6) 3)) (.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))) (fma.f64 (pow.f64 c 6) (-.f64 (pow.f64 c 6) (pow.f64 d 6)) (pow.f64 d 12))))
(/.f64 (-.f64 (pow.f64 (pow.f64 d 4) 3) (pow.f64 (pow.f64 c 4) 3)) (.f64 (-.f64 (.f64 d d) (.f64 c c)) (+.f64 (.f64 (pow.f64 d 4) (pow.f64 d 4)) (+.f64 (.f64 (pow.f64 c 4) (pow.f64 c 4)) (.f64 (pow.f64 d 4) (pow.f64 c 4))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 d 4) 3) (pow.f64 (pow.f64 c 4) 3)) (.f64 (-.f64 (.f64 d d) (.f64 c c)) (+.f64 (pow.f64 d 8) (+.f64 (pow.f64 c 8) (.f64 (pow.f64 d 4) (pow.f64 c 4))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 d 4) 3) (pow.f64 c 12)) (-.f64 (.f64 d d) (.f64 c c))) (+.f64 (pow.f64 d 8) (fma.f64 (pow.f64 d 4) (pow.f64 c 4) (pow.f64 c 8))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)))) (neg.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (neg.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (neg.f64 (-.f64 (.f64 d d) (.f64 c c))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (.f64 c c) (.f64 d d)))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))) (neg.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (neg.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2)))))
(/.f64 (-.f64 (neg.f64 (pow.f64 c 6)) (pow.f64 d 6)) (-.f64 (neg.f64 (pow.f64 d 4)) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2))))
(/.f64 (.f64 1 (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (-.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (neg.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (neg.f64 (-.f64 (.f64 d d) (.f64 c c))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (.f64 c c) (.f64 d d)))
(/.f64 (.f64 (hypot.f64 c d) (sqrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2))))
(/.f64 (hypot.f64 c d) (/.f64 (sqrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2)))) (sqrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))))
(/.f64 (.f64 (hypot.f64 c d) (hypot.f64 (pow.f64 c 3) (pow.f64 d 3))) (sqrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (.f64 (hypot.f64 c d) (sqrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)))) (sqrt.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 (-.f64 (.f64 d d) (*.f64 c c)))) (sqrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2)))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))))) (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)))) (cbrt.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (/.f64 (cbrt.f64 (-.f64 (.f64 d d) (.f64 c c))) (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (cbrt.f64 (-.f64 (.f64 d d) (*.f64 c c)))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) 1) (neg.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (neg.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (neg.f64 (-.f64 (.f64 d d) (.f64 c c))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (.f64 c c) (.f64 d d)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) 1) (neg.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (neg.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2)))))
(/.f64 (-.f64 (neg.f64 (pow.f64 c 6)) (pow.f64 d 6)) (-.f64 (neg.f64 (pow.f64 d 4)) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) 1) (-.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (neg.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (neg.f64 (-.f64 (.f64 d d) (.f64 c c))))
(/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (-.f64 (.f64 c c) (.f64 d d)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (hypot.f64 c d)) (sqrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2))))
(/.f64 (hypot.f64 c d) (/.f64 (sqrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2)))) (sqrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))))
(/.f64 (.f64 (hypot.f64 c d) (hypot.f64 (pow.f64 c 3) (pow.f64 d 3))) (sqrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (hypot.f64 c d)) (sqrt.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (.f64 (hypot.f64 c d) (sqrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)))) (sqrt.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 (-.f64 (.f64 d d) (*.f64 c c)))) (sqrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (cbrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2)))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (cbrt.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))))) (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (cbrt.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) (/.f64 (cbrt.f64 (-.f64 (.f64 d d) (.f64 c c))) (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (cbrt.f64 (-.f64 (.f64 d d) (*.f64 c c)))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 d 4) (pow.f64 d 4)) (.f64 (pow.f64 c 4) (pow.f64 c 4))) (/.f64 1 (-.f64 (.f64 d d) (*.f64 c c)))) (+.f64 (pow.f64 d 4) (pow.f64 c 4)))
(/.f64 (-.f64 (pow.f64 d 8) (pow.f64 c 8)) (.f64 (-.f64 (.f64 d d) (*.f64 c c)) (+.f64 (pow.f64 d 4) (pow.f64 c 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 d 8) (pow.f64 c 8)) (+.f64 (pow.f64 d 4) (pow.f64 c 4))) (-.f64 (.f64 d d) (.f64 c c)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 d 4) 3) (pow.f64 (pow.f64 c 4) 3)) (/.f64 1 (-.f64 (.f64 d d) (.f64 c c)))) (+.f64 (.f64 (pow.f64 d 4) (pow.f64 d 4)) (+.f64 (.f64 (pow.f64 c 4) (pow.f64 c 4)) (.f64 (pow.f64 d 4) (pow.f64 c 4)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 d 4) 3) (pow.f64 (pow.f64 c 4) 3)) (.f64 (-.f64 (.f64 d d) (.f64 c c)) (+.f64 (pow.f64 d 8) (+.f64 (pow.f64 c 8) (.f64 (pow.f64 d 4) (pow.f64 c 4))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 d 4) 3) (pow.f64 c 12)) (-.f64 (.f64 d d) (.f64 c c))) (+.f64 (pow.f64 d 8) (fma.f64 (pow.f64 d 4) (pow.f64 c 4) (pow.f64 c 8))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 d 6) (pow.f64 d 6)) (.f64 (pow.f64 c 6) (pow.f64 c 6))) (/.f64 1 (-.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 (pow.f64 d 12) (pow.f64 c 12)) (.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2))) (-.f64 (pow.f64 d 6) (pow.f64 c 6))))
(/.f64 (-.f64 (pow.f64 d 12) (pow.f64 c 12)) (.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))) (-.f64 (pow.f64 d 6) (pow.f64 c 6))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 d 6) 3) (pow.f64 (pow.f64 c 6) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2)))) (+.f64 (.f64 (pow.f64 d 6) (pow.f64 d 6)) (-.f64 (.f64 (pow.f64 c 6) (pow.f64 c 6)) (*.f64 (pow.f64 d 6) (pow.f64 c 6)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 d 6) 3) (pow.f64 (pow.f64 c 6) 3)) (.f64 (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2))) (+.f64 (pow.f64 d 12) (*.f64 (pow.f64 c 6) (-.f64 (pow.f64 c 6) (pow.f64 d 6))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 d 6) 3) (pow.f64 (pow.f64 c 6) 3)) (.f64 (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (.f64 c d) 2))) (fma.f64 (pow.f64 c 6) (-.f64 (pow.f64 c 6) (pow.f64 d 6)) (pow.f64 d 12))))
(/.f64 (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) 1) (-.f64 (.f64 d d) (.f64 c c)))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (.f64 d d) (.f64 c c)))
(/.f64 (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (sqrt.f64 (-.f64 (.f64 d d) (.f64 c c)))) (sqrt.f64 (-.f64 (.f64 d d) (.f64 c c))))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (.f64 d d) (.f64 c c)))
(/.f64 (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (.f64 (cbrt.f64 (-.f64 (.f64 d d) (.f64 c c))) (cbrt.f64 (-.f64 (.f64 d d) (.f64 c c))))) (cbrt.f64 (-.f64 (.f64 d d) (*.f64 c c))))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (.f64 d d) (.f64 c c)))
(/.f64 (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (+.f64 c d)) (-.f64 d c))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (.f64 d d) (.f64 c c)))
(/.f64 (/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) 1) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 c d) 2)))
(/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2))))
(/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 c d) 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (sqrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2))))
(/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2))))
(/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 c d) 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (.f64 (cbrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2))))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2))))
(/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (+.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (*.f64 c d) 2))))
(/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 c d) 2))))
(pow.f64 (pow.f64 (hypot.f64 c d) 2) 1)
(pow.f64 (hypot.f64 c d) 2)
(pow.f64 (hypot.f64 c d) 2)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 3)
(pow.f64 (hypot.f64 c d) 2)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3) 1/3)
(pow.f64 (hypot.f64 c d) 2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 2))
(sqrt.f64 (pow.f64 (hypot.f64 c d) 4))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (hypot.f64 c d) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 c d) 2))))
(pow.f64 (hypot.f64 c d) 2)
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 2) 3))
(pow.f64 (hypot.f64 c d) 2)
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (hypot.f64 c d) 2)
(exp.f64 (log.f64 (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (hypot.f64 c d) 2)
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (hypot.f64 c d) 2)
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(fma.f64 d d (*.f64 c c))
(fma.f64 c c (*.f64 d d))
(fma.f64 1 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(fma.f64 c c (*.f64 d d))
(fma.f64 1 (.f64 c c) (.f64 d d))
(fma.f64 d d (*.f64 c c))
(fma.f64 c c (*.f64 d d))
(fma.f64 (cbrt.f64 (pow.f64 d 4)) (pow.f64 (cbrt.f64 d) 2) (*.f64 c c))
(fma.f64 (cbrt.f64 (pow.f64 c 4)) (cbrt.f64 (.f64 c c)) (.f64 d d))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (hypot.f64 c d))
✓	0.2b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))

Compiler

Compiled 26 to 12 computations (53.8% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	c	@	0	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
1.0ms	b	@	0	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
1.0ms	c	@	inf	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
0.0ms	b	@	inf	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
0.0ms	d	@	0	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1846×	`add-sqr-sqrt`
1832×	`*-un-lft-identity`
1692×	`add-cube-cbrt`
1668×	`add-cbrt-cube`
212×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	219	13
2	2664	13

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 b (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (hypot.f64 c d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (hypot.f64 c d) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (hypot.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (neg.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (/.f64 (hypot.f64 c d) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (hypot.f64 c d) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (hypot.f64 c d) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b 1) (hypot.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (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 neg.f64 (/.f64 b (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 log.f64 (+.f64 1 (expm1.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))))))))

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1448×	`associate-/l*`
1324×	`times-frac`
866×	`associate-/r*`
824×	`associate-*r/`
782×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2681
1	579	2591
2	2238	2463

Stop Event

1×	node limit

Counts

61 → 100

Calls

Call 1

Inputs
(*.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 (/.f64 b d)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (.f64 (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 5))) (.f64 -1/8 (/.f64 b (pow.f64 d 5)))) (pow.f64 c 4))))
(+.f64 (.f64 -1 (/.f64 b d)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 5))) (.f64 -1/8 (/.f64 b (pow.f64 d 5)))) (pow.f64 c 4)) (.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 -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 -1/4 (.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 1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 b c)) (.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 (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 1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 b c)) (.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 -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 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 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(-.f64 0 (/.f64 b (hypot.f64 c d)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (hypot.f64 c d)))) 1)
(-.f64 (/.f64 0 (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))
(/.f64 1 (/.f64 (hypot.f64 c d) b))
(/.f64 b (hypot.f64 c d))
(/.f64 b (neg.f64 (hypot.f64 c d)))
(/.f64 (sqrt.f64 b) (/.f64 (hypot.f64 c d) (sqrt.f64 b)))
(/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (hypot.f64 c d) (cbrt.f64 b)))
(/.f64 -1 (/.f64 (hypot.f64 c d) b))
(/.f64 (/.f64 b 1) (hypot.f64 c d))
(/.f64 (/.f64 b (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 b (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (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)
(neg.f64 (/.f64 b (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))))
(log.f64 (+.f64 1 (expm1.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 -1 (/.f64 b d))
(neg.f64 (/.f64 b d))
(/.f64 (neg.f64 b) d)
(+.f64 (.f64 -1 (/.f64 b d)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3))))
(fma.f64 -1 (/.f64 b d) (.f64 1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b))))
(fma.f64 1/2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)) (/.f64 (neg.f64 b) d))
(fma.f64 1/2 (.f64 b (/.f64 (.f64 c c) (pow.f64 d 3))) (/.f64 (neg.f64 b) d))
(+.f64 (.f64 -1 (/.f64 b d)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (.f64 (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 5))) (.f64 -1/8 (/.f64 b (pow.f64 d 5)))) (pow.f64 c 4))))
(fma.f64 -1 (/.f64 b d) (fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (.f64 (*.f64 (/.f64 b (pow.f64 d 5)) -3/8) (pow.f64 c 4))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (.f64 (/.f64 b (pow.f64 d 5)) (*.f64 -3/8 (pow.f64 c 4)))) (/.f64 b d))
(-.f64 (fma.f64 1/2 (.f64 b (/.f64 (.f64 c c) (pow.f64 d 3))) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) (*.f64 b -3/8)))) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 b d)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 5))) (.f64 -1/8 (/.f64 b (pow.f64 d 5)))) (pow.f64 c 4)) (.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))))))))
(fma.f64 -1 (/.f64 b d) (fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 (.f64 (/.f64 b (pow.f64 d 5)) -3/8) (pow.f64 c 4) (.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 (fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 (pow.f64 c 6) (fma.f64 -1/2 (/.f64 (/.f64 b (pow.f64 d 5)) (/.f64 (.f64 d d) -3/8)) (/.f64 1/8 (/.f64 (pow.f64 d 7) b))) (.f64 (/.f64 b (pow.f64 d 5)) (.f64 -3/8 (pow.f64 c 4))))) (/.f64 b d))
(-.f64 (fma.f64 1/2 (.f64 b (/.f64 (.f64 c c) (pow.f64 d 3))) (fma.f64 (pow.f64 c 6) (fma.f64 -1/2 (.f64 (/.f64 (/.f64 b (pow.f64 d 5)) (.f64 d d)) -3/8) (.f64 1/8 (/.f64 b (pow.f64 d 7)))) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) (.f64 b -3/8))))) (/.f64 b d))
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.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 d d) (/.f64 (pow.f64 c 3) b)) (neg.f64 (/.f64 b c)))
(-.f64 (/.f64 (.f64 (.f64 1/2 b) (*.f64 d d)) (pow.f64 c 3)) (/.f64 b c))
(-.f64 (.f64 (/.f64 (.f64 1/2 (*.f64 d d)) (pow.f64 c 3)) b) (/.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 d d) (/.f64 (pow.f64 c 3) b)) (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 b (/.f64 (pow.f64 c 5) (pow.f64 d 4))) (fma.f64 1/2 (.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) b) (-.f64 (*.f64 -1/4 (/.f64 b (/.f64 (pow.f64 c 5) (pow.f64 d 4)))) (/.f64 b c))))
(fma.f64 1/2 (*.f64 b (/.f64 d (/.f64 (pow.f64 c 3) d))) (fma.f64 (pow.f64 d 4) (/.f64 b (/.f64 (pow.f64 c 5) -3/8)) (/.f64 (neg.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))))))))
(fma.f64 -1/8 (/.f64 (pow.f64 d 4) (/.f64 (pow.f64 c 5) b)) (fma.f64 1/8 (/.f64 (pow.f64 d 6) (/.f64 (pow.f64 c 7) b)) (fma.f64 1/2 (/.f64 (.f64 d d) (/.f64 (pow.f64 c 3) b)) (fma.f64 -1 (/.f64 b c) (fma.f64 -1/2 (/.f64 (.f64 (.f64 b (pow.f64 d 4)) -3/8) (/.f64 (pow.f64 c 7) (.f64 d d))) (*.f64 -1/4 (/.f64 (pow.f64 d 4) (/.f64 (pow.f64 c 5) b))))))))
(fma.f64 -1/8 (/.f64 b (/.f64 (pow.f64 c 5) (pow.f64 d 4))) (fma.f64 1/8 (.f64 (/.f64 (pow.f64 d 6) (pow.f64 c 7)) b) (fma.f64 1/2 (.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) b) (-.f64 (fma.f64 -1/4 (/.f64 b (/.f64 (pow.f64 c 5) (pow.f64 d 4))) (/.f64 (.f64 d (.f64 d (.f64 (pow.f64 d 4) (*.f64 b -3/8)))) (/.f64 (pow.f64 c 7) -1/2))) (/.f64 b c)))))
(+.f64 (.f64 (pow.f64 d 6) (.f64 (/.f64 1/8 (pow.f64 c 7)) b)) (+.f64 (fma.f64 1/2 (.f64 b (/.f64 d (/.f64 (pow.f64 c 3) d))) (fma.f64 (pow.f64 d 4) (/.f64 b (/.f64 (pow.f64 c 5) -3/8)) (/.f64 (neg.f64 b) c))) (.f64 -1/2 (.f64 (/.f64 (.f64 d d) (pow.f64 c 7)) (.f64 b (.f64 (pow.f64 d 4) -3/8))))))
(/.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 d d) (/.f64 (pow.f64 c 3) b)) (/.f64 b c))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) b) (/.f64 b c))
(fma.f64 -1/2 (*.f64 b (/.f64 d (/.f64 (pow.f64 c 3) d))) (/.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 d d) (/.f64 (pow.f64 c 3) b)) (/.f64 b c)) (neg.f64 (/.f64 (.f64 (*.f64 b (pow.f64 d 4)) -3/8) (pow.f64 c 5))))
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(-.f64 (fma.f64 1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (.f64 (/.f64 b (pow.f64 d 5)) (*.f64 -3/8 (pow.f64 c 4)))) (/.f64 b d))
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(/.f64 b d)
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(fma.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)) -1/2 (/.f64 b d))
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(fma.f64 -1 (/.f64 (.f64 (.f64 b (pow.f64 c 4)) -3/8) (pow.f64 d 5)) (fma.f64 -1/2 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)) (/.f64 b d)))
(-.f64 (fma.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) -1/2 (/.f64 b d)) (/.f64 (.f64 b (*.f64 (pow.f64 c 4) -3/8)) (pow.f64 d 5)))
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(-.f64 (fma.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) -1/2 (-.f64 (/.f64 b d) (/.f64 (fma.f64 -1/2 (.f64 c (.f64 c (.f64 b (.f64 (pow.f64 c 4) -3/8)))) (.f64 b (.f64 (pow.f64 c 6) 1/8))) (pow.f64 d 7)))) (/.f64 (.f64 b (*.f64 (pow.f64 c 4) -3/8)) (pow.f64 d 5)))
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(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 b))
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(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 b))
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(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 b))
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(.f64 -1 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
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(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 b))
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(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 b))
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(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 b))
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(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 b))
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(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 b))
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(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 b))
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(-.f64 0 (/.f64 b (hypot.f64 c d)))
(/.f64 (neg.f64 b) (hypot.f64 c d))
(/.f64 b (neg.f64 (hypot.f64 c d)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (hypot.f64 c d)))) 1)
(/.f64 b (hypot.f64 c d))
(-.f64 (/.f64 0 (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))
(/.f64 (neg.f64 b) (hypot.f64 c d))
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(*.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) (hypot.f64 c d)))
(/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (hypot.f64 c d) (cbrt.f64 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (hypot.f64 c d)) (cbrt.f64 b))
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(/.f64 (/.f64 b (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d)))
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(/.f64 (/.f64 b (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)) (cbrt.f64 (hypot.f64 c d)))
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(pow.f64 (/.f64 b (hypot.f64 c d)) 1)
(/.f64 b (hypot.f64 c d))
(pow.f64 (sqrt.f64 (/.f64 b (hypot.f64 c d))) 2)
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(pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) 3)
(/.f64 b (hypot.f64 c d))
(pow.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) 3) 1/3)
(/.f64 b (hypot.f64 c d))
(neg.f64 (/.f64 b (hypot.f64 c d)))
(/.f64 (neg.f64 b) (hypot.f64 c d))
(/.f64 b (neg.f64 (hypot.f64 c d)))
(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))))
(/.f64 b (hypot.f64 c d))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (hypot.f64 c d)))))
(/.f64 b (hypot.f64 c d))
(cbrt.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) 3))
(/.f64 b (hypot.f64 c d))
(expm1.f64 (log1p.f64 (/.f64 b (hypot.f64 c d))))
(/.f64 b (hypot.f64 c d))
(exp.f64 (log.f64 (/.f64 b (hypot.f64 c d))))
(/.f64 b (hypot.f64 c d))
(exp.f64 (*.f64 (log.f64 (/.f64 b (hypot.f64 c d))) 1))
(/.f64 b (hypot.f64 c d))
(log1p.f64 (expm1.f64 (/.f64 b (hypot.f64 c d))))
(/.f64 b (hypot.f64 c d))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 b (/.f64 c (/.f64 d a)))
	0.0b	(/.f64 1 (hypot.f64 c d))
✓	2.4b	(/.f64 c (/.f64 d a))
✓	4.6b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))

Compiler

Compiled 45 to 14 computations (68.9% saved)

series10.0ms (0.1%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))
1.0ms	a	@	0	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))
1.0ms	a	@	inf	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))
1.0ms	a	@	-inf	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))
0.0ms	b	@	-inf	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))

rewrite93.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

980×	`associate-/r/`
766×	`distribute-rgt-in`
728×	`distribute-lft-in`
556×	`associate-/l/`
302×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	63
1	288	55
2	4210	55

Stop Event

1×	node limit

Counts

3 → 186

Calls

Call 1

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

Outputs

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

simplify184.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

912×	`associate-r`
808×	`associate-/l*`
802×	`+-commutative`
770×	`times-frac`
748×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	530	11238
1	1597	10376
2	7784	10376

Stop Event

1×	node limit

Counts

318 → 305

Calls

Call 1

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

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

eval714.0ms (5.2%)

Compiler: Compiled 43586 to 18856 computations (56.7% saved)

prune647.0ms (4.7%)

Pruning

29 alts after pruning (23 fresh and 6 done)

	Pruned	Kept	Total
New	1540	15	1555
Fresh	3	8	11
Picked	1	0	1
Done	2	6	8
Total	1546	29	1575

Error

Counts

1575 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	38.9b	(fma.f64 a (/.f64 1 c) (.f64 d (/.f64 b (.f64 c c))))
✓	24.0b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
✓	41.6b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 d d))
	41.9b	(/.f64 (neg.f64 b) (hypot.f64 c d))
	55.4b	(/.f64 (neg.f64 b) d)
	58.5b	(/.f64 (neg.f64 b) c)
	59.2b	(/.f64 (neg.f64 a) d)
✓	34.9b	(/.f64 b d)
	58.3b	(/.f64 b c)
▶	59.2b	(/.f64 a d)
✓	39.8b	(/.f64 a c)
	49.4b	(+.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 2) (/.f64 a c))
	35.3b	(+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c b)) c))
▶	37.4b	(+.f64 (/.f64 a c) (/.f64 d (*.f64 (/.f64 c b) c)))
	35.6b	(+.f64 (/.f64 a c) (/.f64 b (/.f64 c (/.f64 d c))))
✓	38.8b	(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
✓	35.5b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
	51.4b	(.f64 (/.f64 c (.f64 d d)) a)
▶	46.7b	(.f64 (/.f64 c (.f64 c c)) a)
	49.4b	(*.f64 (/.f64 a d) (/.f64 c d))
▶	6.7b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 3)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 (.f64 c a) (hypot.f64 c d))))
	25.4b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a))
	45.8b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))
	29.1b	(*.f64 (/.f64 1 d) (+.f64 b (/.f64 c (/.f64 d a))))
	35.0b	(.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a))
	58.5b	(*.f64 (/.f64 1 c) (neg.f64 b))
▶	39.9b	(*.f64 (/.f64 1 c) a)
	34.9b	(*.f64 (/.f64 -1 d) (neg.f64 b))
	58.3b	(*.f64 (/.f64 -1 c) (neg.f64 b))

Compiler

Compiled 660 to 434 computations (34.2% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (hypot.f64 c d))
✓	0.7b	(pow.f64 (cbrt.f64 (hypot.f64 c d)) 3)
	3.5b	(/.f64 b (/.f64 (hypot.f64 c d) d))
	6.7b	(/.f64 (*.f64 c a) (hypot.f64 c d))

Compiler

Compiled 92 to 24 computations (73.9% saved)

series10.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	c	@	0	(pow.f64 (cbrt.f64 (hypot.f64 c d)) 3)
2.0ms	d	@	0	(pow.f64 (cbrt.f64 (hypot.f64 c d)) 3)
2.0ms	c	@	inf	(pow.f64 (cbrt.f64 (hypot.f64 c d)) 3)
1.0ms	d	@	inf	(pow.f64 (cbrt.f64 (hypot.f64 c d)) 3)
1.0ms	c	@	-inf	(pow.f64 (cbrt.f64 (hypot.f64 c d)) 3)

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1438×	`add-sqr-sqrt`
1410×	`*-un-lft-identity`
1324×	`add-cube-cbrt`
1310×	`add-cbrt-cube`
1294×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	184	18
2	1868	18

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (hypot.f64 c d)) 3)
(cbrt.f64 (hypot.f64 c d))

Outputs

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

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

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1600×	`unswap-sqr`
1026×	`associate-*r/`
920×	`associate-+r+`
892×	`associate-*l/`
812×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	236	2177
1	778	1813
2	2489	1531
3	7258	1513

Stop Event

1×	node limit

Counts

59 → 100

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) d)
(+.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 d))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 d))))) (.f64 (pow.f64 1 1/3) d))
(+.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 d))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 d))))) (+.f64 (.f64 (pow.f64 1 1/3) d) (.f64 (pow.f64 c 4) (+.f64 (.f64 -5/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 d 3)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 d 3)))) (.f64 (pow.f64 (.f64 1 d) 1/3) (+.f64 (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 d 10)) 1/3)) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 d 10)) 1/3)))))))))
(+.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 d))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 d))))) (+.f64 (.f64 (pow.f64 c 6) (+.f64 (.f64 -5/216 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 d 5)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 d 5)) 1/3) (+.f64 (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 d 10)) 1/3)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 d 10)) 1/3))))) (+.f64 (.f64 (+.f64 (.f64 -5/216 (pow.f64 (/.f64 1 (pow.f64 d 16)) 1/3)) (.f64 55/648 (pow.f64 (/.f64 1 (pow.f64 d 16)) 1/3))) (pow.f64 (.f64 1 d) 1/3)) (.f64 55/1296 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 d 5)))))))) (+.f64 (.f64 (pow.f64 1 1/3) d) (.f64 (pow.f64 c 4) (+.f64 (.f64 -5/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 d 3)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 d 3)))) (.f64 (pow.f64 (.f64 1 d) 1/3) (+.f64 (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 d 10)) 1/3)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 d 10)) 1/3))))))))))
(*.f64 c (pow.f64 1 1/3))
(+.f64 (.f64 (pow.f64 d 2) (+.f64 (.f64 1/6 (.f64 (/.f64 1 c) (pow.f64 1 1/3))) (.f64 1/3 (.f64 (/.f64 1 c) (pow.f64 1 1/3))))) (.f64 c (pow.f64 1 1/3)))
(+.f64 (.f64 (pow.f64 d 4) (+.f64 (.f64 -5/72 (.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 1 1/3))) (+.f64 (.f64 (pow.f64 (.f64 c 1) 1/3) (+.f64 (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 c 10)) 1/3)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 c 10)) 1/3)))) (.f64 1/18 (.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 1 1/3)))))) (+.f64 (.f64 (pow.f64 d 2) (+.f64 (.f64 1/6 (.f64 (/.f64 1 c) (pow.f64 1 1/3))) (.f64 1/3 (.f64 (/.f64 1 c) (pow.f64 1 1/3))))) (*.f64 c (pow.f64 1 1/3))))
(+.f64 (.f64 (pow.f64 d 4) (+.f64 (.f64 -5/72 (.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 1 1/3))) (+.f64 (.f64 (pow.f64 (.f64 c 1) 1/3) (+.f64 (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 c 10)) 1/3)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 c 10)) 1/3)))) (.f64 1/18 (.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 1 1/3)))))) (+.f64 (.f64 (pow.f64 d 2) (+.f64 (.f64 1/6 (.f64 (/.f64 1 c) (pow.f64 1 1/3))) (.f64 1/3 (.f64 (/.f64 1 c) (pow.f64 1 1/3))))) (+.f64 (.f64 (pow.f64 d 6) (+.f64 (.f64 (pow.f64 (.f64 c 1) 1/3) (+.f64 (.f64 55/648 (pow.f64 (/.f64 1 (pow.f64 c 16)) 1/3)) (.f64 -5/216 (pow.f64 (/.f64 1 (pow.f64 c 16)) 1/3)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 5)) 1/3) (+.f64 (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 c 10)) 1/3)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 c 10)) 1/3))))) (+.f64 (.f64 -5/216 (.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 1 1/3))) (.f64 55/1296 (.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 1 1/3))))))) (.f64 c (pow.f64 1 1/3)))))
(pow.f64 d 1/3)
(+.f64 (pow.f64 d 1/3) (.f64 1/6 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 d 5)) 1/3))))
(+.f64 (pow.f64 d 1/3) (+.f64 (.f64 -5/72 (.f64 (pow.f64 c 4) (pow.f64 (/.f64 1 (pow.f64 d 11)) 1/3))) (.f64 1/6 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 d 5)) 1/3)))))
(+.f64 (pow.f64 d 1/3) (+.f64 (.f64 -5/72 (.f64 (pow.f64 c 4) (pow.f64 (/.f64 1 (pow.f64 d 11)) 1/3))) (+.f64 (.f64 1/6 (.f64 (pow.f64 c 2) (pow.f64 (/.f64 1 (pow.f64 d 5)) 1/3))) (.f64 55/1296 (.f64 (pow.f64 c 6) (pow.f64 (/.f64 1 (pow.f64 d 17)) 1/3))))))
(pow.f64 c 1/3)
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 5)) 1/3) (pow.f64 d 2))) (pow.f64 c 1/3))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 5)) 1/3) (pow.f64 d 2))) (+.f64 (pow.f64 c 1/3) (.f64 -5/72 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 11)) 1/3) (pow.f64 d 4)))))
(+.f64 (.f64 55/1296 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 17)) 1/3) (pow.f64 d 6))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 5)) 1/3) (pow.f64 d 2))) (+.f64 (pow.f64 c 1/3) (.f64 -5/72 (.f64 (pow.f64 (/.f64 1 (pow.f64 c 11)) 1/3) (pow.f64 d 4))))))
(-.f64 (+.f64 1 (hypot.f64 c d)) 1)
(*.f64 (cbrt.f64 (hypot.f64 c d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
(*.f64 (hypot.f64 c d) 1)
(*.f64 1 (hypot.f64 c d))
(*.f64 (sqrt.f64 (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d)))
(.f64 (pow.f64 (hypot.f64 c d) 1/6) (.f64 (pow.f64 (hypot.f64 c d) 1/6) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (cbrt.f64 (hypot.f64 c d)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) 2) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 1) (cbrt.f64 (hypot.f64 c d)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (pow.f64 (hypot.f64 c d) 1/6)) (pow.f64 (hypot.f64 c d) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 c d))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) 1/6) 3) (pow.f64 (pow.f64 (hypot.f64 c d) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) 2) 3) (cbrt.f64 (hypot.f64 c d)))
(sqrt.f64 (pow.f64 (hypot.f64 c d) 2))
(log.f64 (exp.f64 (hypot.f64 c d)))
(cbrt.f64 (pow.f64 (hypot.f64 c d) 3))
(expm1.f64 (log1p.f64 (hypot.f64 c d)))
(hypot.f64 c d)
(exp.f64 (log.f64 (hypot.f64 c d)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 c d)) 1))
(log1p.f64 (expm1.f64 (hypot.f64 c d)))
(-.f64 (+.f64 1 (cbrt.f64 (hypot.f64 c d))) 1)
(*.f64 (cbrt.f64 (hypot.f64 c d)) 1)
(*.f64 1 (cbrt.f64 (hypot.f64 c d)))
(*.f64 (pow.f64 (hypot.f64 c d) 1/6) (pow.f64 (hypot.f64 c d) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) 2) (cbrt.f64 (cbrt.f64 (hypot.f64 c d))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 1/3) (cbrt.f64 (cbrt.f64 (hypot.f64 c d))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (hypot.f64 c d)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) 1/3) (pow.f64 (sqrt.f64 (hypot.f64 c d)) 1/3))
(pow.f64 (cbrt.f64 (hypot.f64 c d)) 1)
(pow.f64 (hypot.f64 c d) 1/3)
(pow.f64 (pow.f64 (hypot.f64 c d) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) 3)
(pow.f64 (pow.f64 (hypot.f64 c d) 2) 1/6)
(sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
(log.f64 (exp.f64 (cbrt.f64 (hypot.f64 c d))))
(expm1.f64 (log1p.f64 (cbrt.f64 (hypot.f64 c d))))
(exp.f64 (log.f64 (cbrt.f64 (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 c d))) 1))
(exp.f64 (*.f64 (log.f64 (hypot.f64 c d)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (hypot.f64 c d))))

Outputs
(*.f64 (pow.f64 1 1/3) d)
d
(+.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 d))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 d))))) (.f64 (pow.f64 1 1/3) d))
(fma.f64 (.f64 c c) (.f64 (/.f64 1 d) 1/2) d)
(fma.f64 (*.f64 c c) (/.f64 1/2 d) d)
(+.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 d))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 d))))) (+.f64 (.f64 (pow.f64 1 1/3) d) (.f64 (pow.f64 c 4) (+.f64 (.f64 -5/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 d 3)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 d 3)))) (.f64 (pow.f64 (.f64 1 d) 1/3) (+.f64 (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 d 10)) 1/3)) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 d 10)) 1/3)))))))))
(+.f64 (fma.f64 (.f64 c c) (.f64 (/.f64 1 d) 1/2) d) (.f64 (pow.f64 c 4) (fma.f64 -5/72 (/.f64 1 (pow.f64 d 3)) (fma.f64 1/18 (/.f64 1 (pow.f64 d 3)) (.f64 (cbrt.f64 d) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 d 10))) -1/9))))))
(fma.f64 (.f64 c c) (/.f64 1/2 d) (fma.f64 (pow.f64 c 4) (+.f64 (.f64 (cbrt.f64 d) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 d 10))) -1/9)) (.f64 (/.f64 1 (pow.f64 d 3)) -1/72)) d))
(fma.f64 (.f64 c c) (/.f64 1/2 d) (fma.f64 (pow.f64 c 4) (+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 d 10))) (*.f64 -1/9 (cbrt.f64 d))) (/.f64 -1/72 (pow.f64 d 3))) d))
(+.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 1 d))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 d))))) (+.f64 (.f64 (pow.f64 c 6) (+.f64 (.f64 -5/216 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 d 5)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 d 5)) 1/3) (+.f64 (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 d 10)) 1/3)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 d 10)) 1/3))))) (+.f64 (.f64 (+.f64 (.f64 -5/216 (pow.f64 (/.f64 1 (pow.f64 d 16)) 1/3)) (.f64 55/648 (pow.f64 (/.f64 1 (pow.f64 d 16)) 1/3))) (pow.f64 (.f64 1 d) 1/3)) (.f64 55/1296 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 d 5)))))))) (+.f64 (.f64 (pow.f64 1 1/3) d) (.f64 (pow.f64 c 4) (+.f64 (.f64 -5/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 d 3)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 d 3)))) (.f64 (pow.f64 (.f64 1 d) 1/3) (+.f64 (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 d 10)) 1/3)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 d 10)) 1/3))))))))))
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(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) 2))
(+.f64 1 (-.f64 (cbrt.f64 (hypot.f64 c d)) 1))
(+.f64 (cbrt.f64 (hypot.f64 c d)) 0)
(cbrt.f64 (hypot.f64 c d))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (hypot.f64 c d)) 1))
(+.f64 (cbrt.f64 (hypot.f64 c d)) 0)
(cbrt.f64 (hypot.f64 c d))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) 2) (cbrt.f64 (cbrt.f64 (hypot.f64 c d))))
(+.f64 1 (-.f64 (cbrt.f64 (hypot.f64 c d)) 1))
(+.f64 (cbrt.f64 (hypot.f64 c d)) 0)
(cbrt.f64 (hypot.f64 c d))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 1/3) (cbrt.f64 (cbrt.f64 (hypot.f64 c d))))
(+.f64 1 (-.f64 (cbrt.f64 (hypot.f64 c d)) 1))
(+.f64 (cbrt.f64 (hypot.f64 c d)) 0)
(cbrt.f64 (hypot.f64 c d))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (hypot.f64 c d)))
(+.f64 1 (-.f64 (cbrt.f64 (hypot.f64 c d)) 1))
(+.f64 (cbrt.f64 (hypot.f64 c d)) 0)
(cbrt.f64 (hypot.f64 c d))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) 1/3) (pow.f64 (sqrt.f64 (hypot.f64 c d)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 c d))) (cbrt.f64 (sqrt.f64 (hypot.f64 c d))))
(pow.f64 (cbrt.f64 (hypot.f64 c d)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (hypot.f64 c d)) 1))
(+.f64 (cbrt.f64 (hypot.f64 c d)) 0)
(cbrt.f64 (hypot.f64 c d))
(pow.f64 (hypot.f64 c d) 1/3)
(+.f64 1 (-.f64 (cbrt.f64 (hypot.f64 c d)) 1))
(+.f64 (cbrt.f64 (hypot.f64 c d)) 0)
(cbrt.f64 (hypot.f64 c d))
(pow.f64 (pow.f64 (hypot.f64 c d) 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 (hypot.f64 c d)) 1))
(+.f64 (cbrt.f64 (hypot.f64 c d)) 0)
(cbrt.f64 (hypot.f64 c d))
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (hypot.f64 c d)) 1))
(+.f64 (cbrt.f64 (hypot.f64 c d)) 0)
(cbrt.f64 (hypot.f64 c d))
(pow.f64 (pow.f64 (hypot.f64 c d) 2) 1/6)
(sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
(+.f64 1 (-.f64 (cbrt.f64 (hypot.f64 c d)) 1))
(+.f64 (cbrt.f64 (hypot.f64 c d)) 0)
(cbrt.f64 (hypot.f64 c d))
(log.f64 (exp.f64 (cbrt.f64 (hypot.f64 c d))))
(+.f64 1 (-.f64 (cbrt.f64 (hypot.f64 c d)) 1))
(+.f64 (cbrt.f64 (hypot.f64 c d)) 0)
(cbrt.f64 (hypot.f64 c d))
(expm1.f64 (log1p.f64 (cbrt.f64 (hypot.f64 c d))))
(+.f64 1 (-.f64 (cbrt.f64 (hypot.f64 c d)) 1))
(+.f64 (cbrt.f64 (hypot.f64 c d)) 0)
(cbrt.f64 (hypot.f64 c d))
(exp.f64 (log.f64 (cbrt.f64 (hypot.f64 c d))))
(+.f64 1 (-.f64 (cbrt.f64 (hypot.f64 c d)) 1))
(+.f64 (cbrt.f64 (hypot.f64 c d)) 0)
(cbrt.f64 (hypot.f64 c d))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 c d))) 1))
(+.f64 1 (-.f64 (cbrt.f64 (hypot.f64 c d)) 1))
(+.f64 (cbrt.f64 (hypot.f64 c d)) 0)
(cbrt.f64 (hypot.f64 c d))
(exp.f64 (*.f64 (log.f64 (hypot.f64 c d)) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (hypot.f64 c d)) 1))
(+.f64 (cbrt.f64 (hypot.f64 c d)) 0)
(cbrt.f64 (hypot.f64 c d))
(log1p.f64 (expm1.f64 (cbrt.f64 (hypot.f64 c d))))
(+.f64 1 (-.f64 (cbrt.f64 (hypot.f64 c d)) 1))
(+.f64 (cbrt.f64 (hypot.f64 c d)) 0)
(cbrt.f64 (hypot.f64 c d))

localize4.0ms (0%)

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

localize24.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 c) a)

Compiler

Compiled 15 to 10 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite94.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1280×	`add-sqr-sqrt`
1264×	`*-un-lft-identity`
1174×	`add-cube-cbrt`
1156×	`add-cbrt-cube`
1142×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	138	7
2	1628	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(*.f64 (/.f64 1 c) a)

Outputs

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

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1022×	`associate--l-`
852×	`associate--r-`
808×	`associate-/l/`
504×	`*-commutative`
498×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	315
1	122	315
2	393	315
3	2054	315
4	6749	315

Stop Event

1×	node limit

Counts

45 → 21

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 c (.f64 c c)) a)
✓	28.3b	(/.f64 c (*.f64 c c))

Compiler

Compiled 21 to 7 computations (66.7% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1480×	`add-sqr-sqrt`
1464×	`*-un-lft-identity`
1364×	`add-cube-cbrt`
1340×	`add-cbrt-cube`
1328×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	148	14
2	2110	14

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1184×	`associate-*r/`
956×	`associate-/l*`
760×	`associate-+r+`
722×	`associate-*l/`
704×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	119	886
1	297	874
2	1068	874
3	6132	874

Stop Event

1×	node limit

Counts

88 → 62

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 c b) c)
✓	2.4b	(+.f64 (/.f64 a c) (/.f64 d (*.f64 (/.f64 c b) c)))
✓	5.6b	(/.f64 d (*.f64 (/.f64 c b) c))

Compiler

Compiled 37 to 9 computations (75.7% saved)

series3.0ms (0%)

Counts

3 → 108

Calls

27 calls:

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

rewrite123.0ms (0.9%)

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

Outputs

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

simplify165.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1028×	`associate-r`
854×	`*-commutative`
838×	`associate-l`
762×	`associate-*l/`
762×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	561	11094
1	1788	9978

Stop Event

1×	node limit

Counts

310 → 284

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

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

eval329.0ms (2.4%)

Compiler: Compiled 23728 to 9479 computations (60.1% saved)

prune273.0ms (2%)

Pruning

30 alts after pruning (22 fresh and 8 done)

	Pruned	Kept	Total
New	777	6	783
Fresh	2	16	18
Picked	1	0	1
Done	2	8	10
Total	782	30	812

Error

Counts

812 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	43.4b	(/.f64 (/.f64 (*.f64 c a) c) c)
✓	24.0b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
✓	41.6b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 d d))
	41.9b	(/.f64 (neg.f64 b) (hypot.f64 c d))
	55.4b	(/.f64 (neg.f64 b) d)
	58.5b	(/.f64 (neg.f64 b) c)
	59.2b	(/.f64 (neg.f64 a) d)
	47.6b	(/.f64 c (/.f64 (*.f64 c c) a))
✓	34.9b	(/.f64 b d)
	58.3b	(/.f64 b c)
✓	59.2b	(/.f64 a d)
✓	39.8b	(/.f64 a c)
	39.9b	(/.f64 1 (/.f64 c a))
	35.3b	(+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c b)) c))
	37.4b	(+.f64 (/.f64 a c) (/.f64 d (/.f64 c (/.f64 b c))))
	35.6b	(+.f64 (/.f64 a c) (/.f64 b (/.f64 c (/.f64 d c))))
✓	38.8b	(+.f64 (/.f64 a c) (.f64 (/.f64 b (.f64 c c)) d))
✓	35.5b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
	51.4b	(.f64 (/.f64 c (.f64 d d)) a)
	49.4b	(*.f64 (/.f64 a d) (/.f64 c d))
	25.9b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 3)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a))
	25.4b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a))
	45.8b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))
	29.1b	(*.f64 (/.f64 1 d) (+.f64 b (/.f64 c (/.f64 d a))))
	35.4b	(.f64 (/.f64 1 c) (+.f64 (.f64 d (/.f64 b c)) a))
	35.0b	(.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a))
	58.5b	(*.f64 (/.f64 1 c) (neg.f64 b))
✓	39.9b	(*.f64 (/.f64 1 c) a)
	34.9b	(*.f64 (/.f64 -1 d) (neg.f64 b))
	58.3b	(*.f64 (/.f64 -1 c) (neg.f64 b))

Compiler

Compiled 366 to 242 computations (33.9% saved)

regimes532.0ms (3.9%)

Counts

51 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

138.0ms	a
112.0ms	c
105.0ms	d
97.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
68.0ms	b

Results

Error	Segments	Branch
4.8b	2	`a`
6.0b	1	`b`
2.5b	3	`c`
4.7b	3	`d`
6.0b	1	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 591 to 222 computations (62.4% saved)

bsearch32.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	5.34069135368834e+191	3.1634083137923864e+195
14.0ms	-3.263831308797915e+105	-9.665039083107918e+103

Results

29.0ms

240×

body

256

valid

Compiler

Compiled 672 to 393 computations (41.5% saved)

regimes769.0ms (5.6%)

Counts

45 → 3

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 (/.f64 1 c) a)
(/.f64 1 (/.f64 c a))
(*.f64 (/.f64 -1 c) (neg.f64 b))
(*.f64 (/.f64 -1 d) (neg.f64 b))
(*.f64 (/.f64 1 c) (neg.f64 b))
(.f64 a (/.f64 c (.f64 d d)))
(*.f64 (/.f64 a d) (/.f64 c d))
(.f64 (/.f64 c (.f64 c c)) a)
(.f64 (/.f64 c (.f64 d d)) a)
(/.f64 c (/.f64 (*.f64 c c) a))
(/.f64 (/.f64 (*.f64 c a) c) c)
(.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a))
(.f64 (/.f64 1 c) (+.f64 (.f64 d (/.f64 b c)) a))
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 c (/.f64 d a))))
(.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 b (.f64 c c)) d))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 c (/.f64 d c))))
(+.f64 (/.f64 a c) (/.f64 d (*.f64 (/.f64 c b) c)))
(+.f64 (/.f64 a c) (/.f64 d (/.f64 c (/.f64 b c))))
(+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c b)) c))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 c c))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 d d))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (neg.f64 b) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) d) (/.f64 1 d))
(fma.f64 a (/.f64 1 c) (.f64 d (/.f64 b (.f64 c c))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))
(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 -1 (+.f64 b (/.f64 c (/.f64 d a)))))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 2) (/.f64 a c))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 (/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (+.f64 c d)) (-.f64 c d)))
(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))

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

Calls

5 calls:

242.0ms	d
175.0ms	a
173.0ms	b
132.0ms	c
37.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
8.4b	7	`a`
7.6b	5	`b`
6.9b	5	`c`
5.8b	5	`d`
5.5b	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 464 to 174 computations (62.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.941063703850339e+307	+inf

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes524.0ms (3.8%)

Counts

44 → 5

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 (/.f64 1 c) a)
(/.f64 1 (/.f64 c a))
(*.f64 (/.f64 -1 c) (neg.f64 b))
(*.f64 (/.f64 -1 d) (neg.f64 b))
(*.f64 (/.f64 1 c) (neg.f64 b))
(.f64 a (/.f64 c (.f64 d d)))
(*.f64 (/.f64 a d) (/.f64 c d))
(.f64 (/.f64 c (.f64 c c)) a)
(.f64 (/.f64 c (.f64 d d)) a)
(/.f64 c (/.f64 (*.f64 c c) a))
(/.f64 (/.f64 (*.f64 c a) c) c)
(.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a))
(.f64 (/.f64 1 c) (+.f64 (.f64 d (/.f64 b c)) a))
(*.f64 (/.f64 1 d) (+.f64 b (/.f64 c (/.f64 d a))))
(.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 b (.f64 c c)) d))
(+.f64 (/.f64 a c) (/.f64 b (/.f64 c (/.f64 d c))))
(+.f64 (/.f64 a c) (/.f64 d (*.f64 (/.f64 c b) c)))
(+.f64 (/.f64 a c) (/.f64 d (/.f64 c (/.f64 b c))))
(+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c b)) c))
(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 c c))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 d d))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (neg.f64 b) (hypot.f64 c d))
(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) d) (/.f64 1 d))
(fma.f64 a (/.f64 1 c) (.f64 d (/.f64 b (.f64 c c))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))
(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 -1 (+.f64 b (/.f64 c (/.f64 d a)))))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 b d)) c) 2) (/.f64 a c))
(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 (/.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (+.f64 c d)) (-.f64 c d)))
(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))

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

Calls

5 calls:

140.0ms	a
103.0ms	d
99.0ms	c
93.0ms	b
79.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
14.7b	6	`a`
13.2b	5	`b`
9.6b	4	`c`
8.1b	5	`d`
11.5b	6	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 448 to 170 computations (62.1% saved)

bsearch91.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
21.0ms	5.440041818115852e+82	7.90855025286733e+95
27.0ms	1.840591344759585e-108	9.43565703290142e-108
25.0ms	-1.187848184807444e-140	-4.724270758188184e-163
18.0ms	-1.3407268322724532e+72	-8.056448526139069e+62

Results

80.0ms	576×	body	256	valid
3.0ms	27×	body	256	infinite

Compiler

Compiled 1378 to 882 computations (36% saved)

regimes624.0ms (4.5%)

Counts

39 → 5

Calls

Call 1

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

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

Calls

5 calls:

190.0ms	a
139.0ms	b
125.0ms	d
98.0ms	c
64.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
17.9b	7	`a`
16.9b	6	`b`
10.1b	4	`c`
8.1b	5	`d`
15.0b	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 369 to 139 computations (62.3% saved)

bsearch82.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
22.0ms	5.440041818115852e+82	7.90855025286733e+95
17.0ms	1.840591344759585e-108	9.43565703290142e-108
27.0ms	-1.187848184807444e-140	-4.724270758188184e-163
15.0ms	-1.687390126012641e+149	-7.494461195402711e+146

Results

71.0ms	544×	body	256	valid
3.0ms	29×	body	256	infinite

Compiler

Compiled 1270 to 802 computations (36.9% saved)

regimes517.0ms (3.8%)

Counts

38 → 5

Calls

Call 1

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

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

Calls

5 calls:

141.0ms	a
113.0ms	d
110.0ms	b
80.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
64.0ms	c

Results

Error	Segments	Branch
17.9b	7	`a`
16.9b	6	`b`
10.1b	4	`c`
8.1b	5	`d`
15.0b	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 356 to 136 computations (61.8% saved)

bsearch75.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
21.0ms	5.440041818115852e+82	7.90855025286733e+95
13.0ms	1.840591344759585e-108	9.43565703290142e-108
25.0ms	-1.187848184807444e-140	-4.724270758188184e-163
15.0ms	-1.687390126012641e+149	-7.494461195402711e+146

Results

62.0ms	544×	body	256	valid
4.0ms	28×	body	256	infinite

Compiler

Compiled 1250 to 782 computations (37.4% saved)

regimes392.0ms (2.9%)

Counts

31 → 3

Calls

Call 1

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

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

Calls

4 calls:

153.0ms	a
103.0ms	b
71.0ms	c
58.0ms	d

Results

Error	Segments	Branch
19.0b	12	`a`
19.2b	8	`b`
11.8b	3	`c`
13.0b	3	`d`

Compiler

Compiled 261 to 102 computations (60.9% saved)

bsearch61.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.09021884375503389	26442.11224211114
43.0ms	-3.851350619017879e+40	-7.014180096023655e+38

Results

57.0ms

256×

body

256

valid

Compiler

Compiled 538 to 337 computations (37.4% saved)

regimes452.0ms (3.3%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

4 calls:

166.0ms	b
154.0ms	a
79.0ms	d
48.0ms	c

Results

Error	Segments	Branch
19.0b	12	`a`
19.2b	8	`b`
11.8b	3	`c`
13.0b	3	`d`

Compiler

Compiled 228 to 96 computations (57.9% saved)

bsearch57.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.09021884375503389	26442.11224211114
39.0ms	-3.851350619017879e+40	-7.014180096023655e+38

Results

53.0ms

256×

body

256

valid

Compiler

Compiled 538 to 353 computations (34.4% saved)

regimes369.0ms (2.7%)

Counts

27 → 3

Calls

Call 1

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

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

Calls

4 calls:

149.0ms	a
104.0ms	b
65.0ms	d
46.0ms	c

Results

Error	Segments	Branch
19.0b	12	`a`
19.2b	8	`b`
11.8b	3	`c`
13.0b	3	`d`

Compiler

Compiled 217 to 93 computations (57.1% saved)

bsearch35.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	0.09021884375503389	26442.11224211114
14.0ms	-3.851350619017879e+40	-7.014180096023655e+38

Results

31.0ms

256×

body

256

valid

Compiler

Compiled 538 to 369 computations (31.4% saved)

regimes321.0ms (2.3%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

4 calls:

149.0ms	a
88.0ms	b
54.0ms	d
27.0ms	c

Results

Error	Segments	Branch
21.8b	14	`a`
24.8b	10	`b`
16.2b	3	`c`
16.7b	5	`d`

Compiler

Compiled 140 to 69 computations (50.7% saved)

bsearch33.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	7.741932391190797e-29	3.5321308313032205e-25
18.0ms	-8.619742986865322e-30	-2.24218942728974e-39

Results

30.0ms	272×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 434 to 306 computations (29.5% saved)

regimes399.0ms (2.9%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

4 calls:

157.0ms	a
151.0ms	b
60.0ms	d
27.0ms	c

Results

Error	Segments	Branch
21.8b	14	`a`
24.8b	10	`b`
16.4b	3	`c`
16.7b	5	`d`

Compiler

Compiled 129 to 64 computations (50.4% saved)

bsearch34.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	7.741932391190797e-29	3.5321308313032205e-25
18.0ms	-8.619742986865322e-30	-2.24218942728974e-39

Results

30.0ms	272×	body	256	valid
1.0ms	8×	body	256	infinite

Compiler

Compiled 434 to 306 computations (29.5% saved)

regimes284.0ms (2.1%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

4 calls:

107.0ms	b
74.0ms	c
66.0ms	a
34.0ms	d

Results

Error	Segments	Branch
26.9b	8	`a`
28.4b	8	`b`
19.6b	3	`c`
20.5b	3	`d`

Compiler

Compiled 118 to 58 computations (50.8% saved)

bsearch64.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
55.0ms	0.09021884375503389	26442.11224211114
9.0ms	-2.722754371928229e+22	-1.7413941130777575e+22

Results

60.0ms

208×

body

256

valid

Compiler

Compiled 234 to 173 computations (26.1% saved)

regimes18.0ms (0.1%)

Accuracy

Total -23.8b remaining (-61.7%)

Threshold costs -23.8b (-61.7%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	d
4.0ms	c
3.0ms	b
3.0ms	a

Results

Error	Segments	Branch
39.8b	1	`a`
39.8b	1	`b`
39.8b	1	`c`
38.6b	2	`d`

Compiler

Compiled 33 to 23 computations (30.3% saved)

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	5.487501885666866e+129	1.342317344306888e+149

Results

20.0ms

176×

body

256

valid

Compiler

Compiled 202 to 149 computations (26.2% saved)

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative`
32×	`+-commutative`
12×	`neg-sub0`
10×	`sub-neg`
10×	`neg-mul-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	1503
1	194	1503
2	200	1503
3	214	1499
4	227	1499
5	234	1499
6	236	1499

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 c -679999999999999937645284797846884544737921723747263034725519087867070108079323311729224961069290551771136) (+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c b)) c)) (if (<=.f64 c 2149999999999999878992169284358295328452412679874592317935082963196741167107325326962302539759105788869865396434554891700294974792105983887341590219147099021674020557303980782373105557475164160) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 (.f64 c a) (hypot.f64 c d)))) (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))))
(if (<=.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (if (<=.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) +inf.0) (+.f64 (/.f64 a c) (/.f64 b (/.f64 c (/.f64 d c)))) (+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))))
(if (<=.f64 d -450000000000000032639146371688155806771268484340934879983194569965568) (.f64 (/.f64 1 (hypot.f64 c d)) (.f64 -1 (+.f64 b (/.f64 c (/.f64 d a))))) (if (<=.f64 d -3019169939857233/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 5949503719112237/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a)) (if (<=.f64 d 599999999999999982488552631540622164711485631704510234245550039320818008897757079589457508696064) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))))))
(if (<=.f64 d -1499999999999999966994573608486490261547235834201701621158379867453895908843661238640389074134890770954652402623305616203257648460096719593045753856) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d -3455165794209175/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 1917062309491721/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a)) (if (<=.f64 d 45999999999999997912313441894818644450719632530963951746372507341656010690543128412160) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))))))
(if (<=.f64 d -749999999999999983497286804243245130773617917100850810579189933726947954421830619320194537067445385477326201311652808101628824230048359796522876928) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d -707617954654039/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 5024025362805889/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a)) (if (<=.f64 d 580000000000000026548337316126922267591221948576379695078468613802634519949506052440925333880832) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d)))))))
(if (<=.f64 c -799999999999999981990478587648272236544) (+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c b)) c)) (if (<=.f64 c 7200) (+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d))) (+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c b)) c))))
(if (<=.f64 c -2300000000000000118227819322796010373120) (+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c b)) c)) (if (<=.f64 c 450) (*.f64 (/.f64 1 d) (+.f64 b (/.f64 c (/.f64 d a)))) (+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c b)) c))))
(if (<=.f64 c -2249999999999999977682419924978636947456) (.f64 (/.f64 1 c) (+.f64 (.f64 d (/.f64 b c)) a)) (if (<=.f64 c 24000) (.f64 (/.f64 1 d) (+.f64 b (/.f64 c (/.f64 d a)))) (.f64 (/.f64 1 c) (+.f64 (*.f64 d (/.f64 b c)) a))))
(if (<=.f64 c -6165710032489747/22835963083295358096932575511191922182123945984) (.f64 (/.f64 1 c) (+.f64 (.f64 d (/.f64 b c)) a)) (if (<=.f64 c 7247742189522453/1393796574908163946345982392040522594123776) (/.f64 b d) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a))))
(if (<=.f64 c -8476709496519237/2923003274661805836407369665432566039311865085952) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a)) (if (<=.f64 c 7526501504504085/5575186299632655785383929568162090376495104) (/.f64 b d) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a))))
(if (<=.f64 c -23000000000000002097152) (/.f64 a c) (if (<=.f64 c 4278419646001971/1125899906842624) (/.f64 b d) (/.f64 a c)))
(if (<=.f64 d 9499999999999999981466859252322498274418965364030791193164636067317486923214088320465116880307737507902915075593420714201554648513330020352) (/.f64 a c) (/.f64 a d))
(/.f64 a c)

Outputs
(if (<=.f64 c -679999999999999937645284797846884544737921723747263034725519087867070108079323311729224961069290551771136) (+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c b)) c)) (if (<=.f64 c 2149999999999999878992169284358295328452412679874592317935082963196741167107325326962302539759105788869865396434554891700294974792105983887341590219147099021674020557303980782373105557475164160) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 (.f64 c a) (hypot.f64 c d)))) (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (/.f64 d (/.f64 c b))))))
(if (<=.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (if (<=.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) +inf.0) (+.f64 (/.f64 a c) (/.f64 b (/.f64 c (/.f64 d c)))) (+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))))
(if (<=.f64 (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168) (.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d))) (if (<=.f64 (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) +inf.0) (+.f64 (/.f64 a c) (/.f64 b (/.f64 c (/.f64 d c)))) (+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))))
(if (<=.f64 d -450000000000000032639146371688155806771268484340934879983194569965568) (.f64 (/.f64 1 (hypot.f64 c d)) (.f64 -1 (+.f64 b (/.f64 c (/.f64 d a))))) (if (<=.f64 d -3019169939857233/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 5949503719112237/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a)) (if (<=.f64 d 599999999999999982488552631540622164711485631704510234245550039320818008897757079589457508696064) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))))))
(if (<=.f64 d -450000000000000032639146371688155806771268484340934879983194569965568) (.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (+.f64 b (/.f64 c (/.f64 d a))))) (if (<=.f64 d -3019169939857233/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488) (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 5949503719112237/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) (.f64 (/.f64 1 c) (+.f64 a (.f64 b (/.f64 d c)))) (if (<=.f64 d 599999999999999982488552631540622164711485631704510234245550039320818008897757079589457508696064) (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))))))
(if (<=.f64 d -450000000000000032639146371688155806771268484340934879983194569965568) (.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (neg.f64 b) (/.f64 c (/.f64 d a)))) (if (<=.f64 d -3019169939857233/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488) (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 5949503719112237/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) (.f64 (/.f64 1 c) (+.f64 a (.f64 b (/.f64 d c)))) (if (<=.f64 d 599999999999999982488552631540622164711485631704510234245550039320818008897757079589457508696064) (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))))))
(if (<=.f64 d -450000000000000032639146371688155806771268484340934879983194569965568) (.f64 (+.f64 b (/.f64 c (/.f64 d a))) (/.f64 -1 (hypot.f64 c d))) (if (<=.f64 d -3019169939857233/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488) (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 5949503719112237/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) (.f64 (/.f64 1 c) (+.f64 a (.f64 b (/.f64 d c)))) (if (<=.f64 d 599999999999999982488552631540622164711485631704510234245550039320818008897757079589457508696064) (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))))))
(if (<=.f64 d -1499999999999999966994573608486490261547235834201701621158379867453895908843661238640389074134890770954652402623305616203257648460096719593045753856) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d -3455165794209175/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 1917062309491721/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a)) (if (<=.f64 d 45999999999999997912313441894818644450719632530963951746372507341656010690543128412160) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))))))
(if (<=.f64 d -1499999999999999966994573608486490261547235834201701621158379867453895908843661238640389074134890770954652402623305616203257648460096719593045753856) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d -3455165794209175/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208) (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 1917062309491721/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (.f64 (/.f64 1 c) (+.f64 a (.f64 b (/.f64 d c)))) (if (<=.f64 d 45999999999999997912313441894818644450719632530963951746372507341656010690543128412160) (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 c (/.f64 d a))))))))
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(if (<=.f64 d -749999999999999983497286804243245130773617917100850810579189933726947954421830619320194537067445385477326201311652808101628824230048359796522876928) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (if (<=.f64 d -707617954654039/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 5024025362805889/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (.f64 (/.f64 1 c) (+.f64 a (.f64 b (/.f64 d c)))) (if (<=.f64 d 580000000000000026548337316126922267591221948576379695078468613802634519949506052440925333880832) (/.f64 (+.f64 (.f64 c a) (.f64 d b)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d)))))))
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(if (or (<=.f64 c -2249999999999999977682419924978636947456) (not (<=.f64 c 24000))) (.f64 (/.f64 1 c) (+.f64 a (.f64 d (/.f64 b c)))) (*.f64 (+.f64 b (/.f64 c (/.f64 d a))) (/.f64 1 d)))
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(if (<=.f64 c -8476709496519237/2923003274661805836407369665432566039311865085952) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a)) (if (<=.f64 c 7526501504504085/5575186299632655785383929568162090376495104) (/.f64 b d) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a))))
(if (or (<=.f64 c -8476709496519237/2923003274661805836407369665432566039311865085952) (not (<=.f64 c 7526501504504085/5575186299632655785383929568162090376495104))) (.f64 (/.f64 1 c) (+.f64 a (.f64 b (/.f64 d c)))) (/.f64 b d))
(if (<=.f64 c -23000000000000002097152) (/.f64 a c) (if (<=.f64 c 4278419646001971/1125899906842624) (/.f64 b d) (/.f64 a c)))
(if (<=.f64 d 9499999999999999981466859252322498274418965364030791193164636067317486923214088320465116880307737507902915075593420714201554648513330020352) (/.f64 a c) (/.f64 a d))
(/.f64 a c)

Compiler

Compiled 601 to 308 computations (48.8% saved)

soundness217.0ms (1.6%)

Algorithm

3×	egg-herbie

Rules

1550×	`associate-/r*`
1550×	`associate-/r*`
1350×	`associate-r`
1350×	`associate-r`
1206×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	7030
1	787	6554
2	3376	6536
0	852	23449
1	2398	21529
0	852	23449
1	2398	21529

Stop Event

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

Compiler

Compiled 177 to 70 computations (60.5% saved)

end121.0ms (0.9%)

Compiler: Compiled 553 to 177 computations (68% saved)