Details

analyze461.0ms (3.2%)

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%)

Results

945.0ms	8256×	body	256	valid
49.0ms	444×	body	256	infinite

Bogosity

preprocess8.0ms (0.1%)

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)))

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

25.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.3b	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
▶	25.3b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 36 to 20 computations (44.4% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 c c) (.f64 d d))
✓	0.3b	(+.f64 (.f64 a c) (.f64 b d))
✓	24.8b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 49 to 11 computations (77.6% saved)

series9.0ms (0.1%)

Counts

3 → 120

Calls

30 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)))
0.0ms	a	@	inf	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite99.0ms (0.7%)

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	65
1	285	61
2	4080	61

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

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

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simplify129.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1358×	`associate-/r/`
724×	`times-frac`
696×	`associate-/l*`
618×	`+-commutative`
592×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	472	11315
1	1229	10677
2	6068	10677

Stop Event

1×	node limit

Counts

287 → 268

Calls

Call 1

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 c c (*.f64 d d))
✓	24.8b	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))

Compiler

Compiled 39 to 9 computations (76.9% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`unswap-sqr`
754×	`swap-sqr`
636×	`associate-*r/`
620×	`associate-/r*`
522×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	242	46
2	3050	46

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

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

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

simplify90.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1176×	`distribute-rgt-in`
1164×	`distribute-lft-in`
1014×	`associate-/l/`
878×	`distribute-lft-neg-in`
666×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	287	6224
1	824	6062
2	4019	6044

Stop Event

1×	node limit

Counts

180 → 173

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

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

eval117.0ms (0.8%)

Compiler: Compiled 10925 to 3934 computations (64% saved)

prune78.0ms (0.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	431	10	441
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	432	11	443

Error

0.1b

Counts

443 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.3b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
▶	44.8b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 c c))
	39.2b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	39.5b	(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))
	38.6b	(/.f64 b d)
▶	37.9b	(/.f64 a c)
	25.0b	(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
▶	34.3b	(+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) a))
	32.4b	(+.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 c d)))
▶	31.7b	(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))
▶	16.1b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))

Compiler

Compiled 315 to 181 computations (42.5% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (hypot.f64 c d))
✓	0.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
✓	15.0b	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series11.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite115.0ms (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

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

simplify161.0ms (1.1%)

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.0b	(*.f64 (/.f64 b c) (/.f64 d c))
✓	2.8b	(+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c)))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series7.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

622×	`distribute-lft-neg-in`
584×	`distribute-rgt-neg-in`
542×	`distribute-rgt-in`
540×	`associate-/r/`
514×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	247	46
2	3775	46

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 d (*.f64 c c)) b))) (-.f64 1 (/.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 a c))) (-.f64 1 (*.f64 (/.f64 d (*.f64 c c)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (pow.f64 (/.f64 a c) 2) (-.f64 a (*.f64 b (/.f64 d c)))) c) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) 2) (-.f64 a (*.f64 b (/.f64 d c)))) c))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 a c) (exp.f64 (log1p.f64 (*.f64 (/.f64 d (*.f64 c c)) b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (/.f64 d (*.f64 c c)) b) (exp.f64 (log1p.f64 (/.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))) (sqrt.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))) 2) (cbrt.f64 (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) 2)) (*.f64 (/.f64 1 (-.f64 a (*.f64 b (/.f64 d c)))) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 c) (+.f64 a (*.f64 b (/.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 c) (+.f64 (*.f64 b (/.f64 d c)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) 2) (*.f64 (/.f64 a c) (/.f64 (-.f64 a (*.f64 b (/.f64 d c))) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 a (*.f64 b (/.f64 d c)))) c) (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) 2) (*.f64 (/.f64 a c) (/.f64 (-.f64 a (*.f64 b (/.f64 d c))) c)))) (+.f64 (pow.f64 (/.f64 a c) 3) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) 2)) (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) 2))) (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (/.f64 a c) 2) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) 2)) (-.f64 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simplify103.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

942×	`distribute-lft-neg-in`
854×	`distribute-rgt-neg-in`
608×	`associate-r`
552×	`distribute-lft-neg-out`
538×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	7711
1	1073	7097
2	4891	7071

Stop Event

1×	node limit

Counts

205 → 195

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	3.2b	(+.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) a))
✓	5.8b	(/.f64 c (*.f64 d d))
✓	5.9b	(.f64 (/.f64 c (.f64 d d)) a)

Compiler

Compiled 37 to 9 computations (75.7% saved)

series7.0ms (0%)

Counts

3 → 108

Calls

27 calls:

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 c (pow.f64 d -2)) a (/.f64 b d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b d))) (-.f64 1 (*.f64 (/.f64 c d) (/.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c d) (/.f64 a d)))) (-.f64 1 (/.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 b d) 2) (-.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))) (/.f64 (pow.f64 (*.f64 (/.f64 c d) (/.f64 a d)) 2) (-.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (exp.f64 (log1p.f64 (/.f64 b d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b d) (exp.f64 (log1p.f64 (*.f64 (/.f64 c d) (/.f64 a d))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 c (pow.f64 d -2)) a (/.f64 b d)) 1)))) (#(struct:change #<rule egg-rr> 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simplify115.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	389	8408
1	1108	7940
2	5065	7930

Stop Event

1×	node limit

Counts

252 → 220

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(+.f64 (.f64 a c) (.f64 b d))
✓	19.0b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 c c))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite64.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1602×	`associate-*r/`
1384×	`associate-*l/`
1112×	`associate-/r*`
978×	`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 c c))

Outputs

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

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1820×	`associate-+r+`
1526×	`associate-+l+`
688×	`associate-*r/`
552×	`unswap-sqr`
482×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	2275
1	247	2263
2	891	2113
3	4580	2113

Stop Event

1×	node limit

Counts

81 → 52

Calls

Call 1

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

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

eval261.0ms (1.8%)

Compiler: Compiled 28266 to 8870 computations (68.6% saved)

prune267.0ms (1.9%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	1105	15	1120
Fresh	4	1	5
Picked	0	1	1
Done	3	2	5
Total	1112	19	1131

Error

0.0b

Counts

1131 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.3b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
✓	44.8b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 c c))
▶	54.0b	(/.f64 (.f64 d b) (.f64 c c))
	48.7b	(/.f64 (.f64 c a) (.f64 c c))
▶	38.6b	(/.f64 b d)
✓	37.9b	(/.f64 a c)
	25.0b	(+.f64 (/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b)) (/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)))
	31.7b	(+.f64 (/.f64 b d) (/.f64 (*.f64 (/.f64 c d) a) d))
▶	34.9b	(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
	32.3b	(+.f64 (/.f64 a c) (/.f64 d (*.f64 (/.f64 c b) c)))
	31.7b	(+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c d) (/.f64 c b))))
▶	40.3b	(.f64 (/.f64 (fma.f64 a c (.f64 b d)) c) (/.f64 1 c))
	38.3b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
	52.1b	(*.f64 (/.f64 b c) (/.f64 d c))
▶	10.1b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 (.f64 c a) (hypot.f64 c d))))
	47.5b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (.f64 (/.f64 d c) b)))
	42.7b	(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))))
	31.6b	(.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a))
	53.7b	(*.f64 b (/.f64 (/.f64 d c) c))

Compiler

Compiled 535 to 323 computations (39.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (hypot.f64 c d))
✓	0.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) (/.f64 (.f64 c a) (hypot.f64 c d))))
✓	3.4b	(/.f64 b (/.f64 (hypot.f64 c d) d))
✓	10.6b	(/.f64 (*.f64 c a) (hypot.f64 c d))

Compiler

Compiled 75 to 16 computations (78.7% saved)

series20.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	d	@	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))))
2.0ms	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	c	@	inf	(/.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 c a) (hypot.f64 c d))

rewrite113.0ms (0.8%)

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)) 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simplify145.0ms (1%)

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	10.2b	(/.f64 (.f64 d b) (.f64 c c))

Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1968×	`add-sqr-sqrt`
1952×	`*-un-lft-identity`
1826×	`add-cube-cbrt`
1796×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	170	19
2	2510	19

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1808×	`distribute-lft-in`
1114×	`associate-+l-`
1048×	`associate-+r-`
1026×	`associate-/l*`
536×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1657
1	319	1633
2	1137	1627
3	4684	1627

Stop Event

1×	node limit

Counts

79 → 56

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.2b	(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
✓	10.1b	(/.f64 (.f64 c a) (.f64 d d))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series2.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 162

Calls

Call 1

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

Outputs

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

simplify150.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1070×	`associate-r`
844×	`associate-l`
712×	`*-commutative`
578×	`+-commutative`
518×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	494	10702
1	1554	9382
2	7325	9382

Stop Event

1×	node limit

Counts

246 → 261

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.7b	(.f64 (/.f64 (fma.f64 a c (.f64 b d)) c) (/.f64 1 c))
✓	11.5b	(/.f64 (fma.f64 a c (*.f64 b d)) c)

Compiler

Compiled 41 to 13 computations (68.3% saved)

series6.0ms (0%)

Counts

2 → 96

Calls

24 calls:

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

rewrite92.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`associate-*l/`
1206×	`associate-/r*`
1082×	`associate-/l*`
388×	`distribute-rgt-in`
350×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	265	48
2	3331	48

Stop Event

1×	node limit

Counts

2 → 265

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 c) (*.f64 b d)) (*.f64 (/.f64 1 c) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 c) (*.f64 a c)) (*.f64 (/.f64 1 c) (*.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 c) (*.f64 (*.f64 a c) 1)) (*.f64 (/.f64 1 c) (*.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b d) (/.f64 1 c)) (*.f64 (*.f64 a c) (/.f64 1 c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a c) (/.f64 1 c)) (*.f64 (*.f64 b d) (/.f64 1 c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 a c) 1) (/.f64 1 c)) (*.f64 (*.f64 b d) (/.f64 1 c)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 b d)) c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a c (*.f64 b d)) (/.f64 1 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a c (*.f64 b d)) c) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 a c (*.f64 b d)) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 c) (fma.f64 a c (*.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 c -1/2) (/.f64 (fma.f64 a c (*.f64 b d)) (sqrt.f64 c)))))) (#(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 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) c) (sqrt.f64 (fma.f64 a c (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) c)) (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 c -2)) (/.f64 (fma.f64 a c (*.f64 b d)) (cbrt.f64 c)))))) (#(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 c)))))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 c -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a c (*.f64 b d)) (/.f64 (*.f64 c (neg.f64 c)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 a c (*.f64 b d)) c) c)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 a c (*.f64 b d)) c) (neg.f64 (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 c c) (fma.f64 a c (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 c (neg.f64 c)) (neg.f64 (fma.f64 a c (*.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (neg.f64 (*.f64 c c)) (neg.f64 (fma.f64 a c (*.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 c (fma.f64 a c (*.f64 b d))) (neg.f64 (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 c (sqrt.f64 (/.f64 c (fma.f64 a c (*.f64 b d))))) (sqrt.f64 (/.f64 c (fma.f64 a c (*.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 c) (/.f64 c (fma.f64 a c (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 c -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 c -1/2) (/.f64 (/.f64 c (fma.f64 a c (*.f64 b d))) (pow.f64 c -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 c -1/2) (/.f64 c (/.f64 (fma.f64 a c (*.f64 b d)) (sqrt.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 c -1/2) (*.f64 (/.f64 c (fma.f64 a c (*.f64 b d))) (sqrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (/.f64 (*.f64 c c) (sqrt.f64 (fma.f64 a c (*.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (/.f64 (*.f64 c c) (*.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (/.f64 c (*.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (/.f64 1 c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (/.f64 (*.f64 c (sqrt.f64 (/.f64 c (fma.f64 a c (*.f64 b d))))) (pow.f64 c -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (/.f64 (*.f64 c (neg.f64 c)) (neg.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (/.f64 (*.f64 (neg.f64 c) c) (neg.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (/.f64 (neg.f64 (*.f64 c c)) (neg.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (*.f64 c (/.f64 c (sqrt.f64 (fma.f64 a c (*.f64 b d))))))))) (#(struct:change #<rule egg-rr> 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) (/.f64 (*.f64 c c) (cbrt.f64 (fma.f64 a c (*.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) (/.f64 (*.f64 c c) (*.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) (/.f64 c (*.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (/.f64 1 c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) (/.f64 (*.f64 c (neg.f64 c)) (neg.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) (/.f64 (*.f64 (neg.f64 c) c) (neg.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 2) (/.f64 (neg.f64 (*.f64 c c)) (neg.f64 (cbrt.f64 (fma.f64 a c 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simplify145.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1144×	`associate-/r*`
814×	`distribute-lft-neg-in`
804×	`associate-r`
796×	`associate-/l/`
752×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	622	12557
1	1689	12387
2	6607	12383

Stop Event

1×	node limit

Counts

361 → 383

Calls

Call 1

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

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

eval426.0ms (3%)

Compiler: Compiled 35786 to 12411 computations (65.3% saved)

prune412.0ms (2.9%)

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	1278	9	1287
Fresh	2	9	11
Picked	1	0	1
Done	1	6	7
Total	1282	24	1306

Error

Counts

1306 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	46.4b	(pow.f64 (sqrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 2)
✓	25.3b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
✓	44.8b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 c c))
▶	52.7b	(/.f64 (+.f64 d (.f64 (/.f64 d (.f64 (/.f64 a d) c)) b)) (.f64 (/.f64 d (.f64 (/.f64 a d) c)) d))
✓	54.0b	(/.f64 (.f64 d b) (.f64 c c))
▶	48.7b	(/.f64 (.f64 c a) (.f64 c c))
✓	38.6b	(/.f64 b d)
✓	37.9b	(/.f64 a c)
	31.7b	(+.f64 (/.f64 b d) (/.f64 (*.f64 (/.f64 c d) a) d))
✓	34.9b	(+.f64 (/.f64 b d) (/.f64 (.f64 c a) (.f64 d d)))
	32.3b	(+.f64 (/.f64 a c) (/.f64 d (*.f64 (/.f64 c b) c)))
	31.7b	(+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c d) (/.f64 c b))))
	52.7b	(.f64 (/.f64 (.f64 d b) c) (/.f64 1 c))
	52.1b	(*.f64 (/.f64 d c) (/.f64 b c))
▶	38.3b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
▶	10.8b	(.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))))
	27.7b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a))
	47.5b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (.f64 (/.f64 d c) b)))
	42.7b	(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))))
	31.6b	(.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a))
	51.9b	(.f64 (.f64 (/.f64 d c) b) (/.f64 1 c))
	52.3b	(*.f64 d (/.f64 (/.f64 b c) c))
	53.7b	(*.f64 b (/.f64 (/.f64 d c) c))
▶	38.0b	(*.f64 a (/.f64 1 c))

Compiler

Compiled 636 to 394 computations (38.1% saved)

localize51.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (hypot.f64 c d))
✓	0.7b	(pow.f64 (cbrt.f64 (hypot.f64 c d)) 3)
	3.4b	(/.f64 b (/.f64 (hypot.f64 c d) d))
	10.6b	(/.f64 (*.f64 c a) (hypot.f64 c d))

Compiler

Compiled 92 to 24 computations (73.9% saved)

series11.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	d	@	0	(pow.f64 (cbrt.f64 (hypot.f64 c d)) 3)
2.0ms	c	@	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	d	@	-inf	(pow.f64 (cbrt.f64 (hypot.f64 c d)) 3)

rewrite92.0ms (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))))))))

simplify82.0ms (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))))))))))
(fma.f64 (.f64 c c) (.f64 (/.f64 1 d) 1/2) (fma.f64 (pow.f64 c 6) (fma.f64 -5/216 (/.f64 1 (pow.f64 d 5)) (fma.f64 1/6 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 d 10))) -1/9) (cbrt.f64 (/.f64 1 (pow.f64 d 5)))) (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 d 16))) 5/81) (cbrt.f64 d) (.f64 (/.f64 1 (pow.f64 d 5)) 55/1296)))) (+.f64 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 6) (+.f64 (/.f64 -5/216 (pow.f64 d 5)) (fma.f64 1/6 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 d 10))) -1/9) (cbrt.f64 (/.f64 1 (pow.f64 d 5)))) (fma.f64 (cbrt.f64 d) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 d 16))) 5/81) (/.f64 55/1296 (pow.f64 d 5))))) (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 6) (+.f64 (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 d 10))) (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 d 5))))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 d 16))) (.f64 5/81 (cbrt.f64 d)))) (.f64 (/.f64 1 (pow.f64 d 5)) 25/1296)) (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)))
(fma.f64 (.f64 c c) (/.f64 1/2 d) (fma.f64 (pow.f64 c 6) (+.f64 (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 d 10))) (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 d 5))))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 d 16))) (.f64 5/81 (cbrt.f64 d)))) (/.f64 25/1296 (pow.f64 d 5))) (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 c (pow.f64 1 1/3))
c
(+.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)))
(fma.f64 (.f64 d d) (.f64 (/.f64 1 c) 1/2) c)
(fma.f64 (*.f64 d d) (/.f64 1/2 c) c)
(+.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))))
(fma.f64 (pow.f64 d 4) (fma.f64 -5/72 (/.f64 1 (pow.f64 c 3)) (fma.f64 (cbrt.f64 c) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 c 10))) -1/9) (.f64 1/18 (/.f64 1 (pow.f64 c 3))))) (fma.f64 (.f64 d d) (.f64 (/.f64 1 c) 1/2) c))
(fma.f64 (pow.f64 d 4) (+.f64 (/.f64 -5/72 (pow.f64 c 3)) (fma.f64 (cbrt.f64 c) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 c 10))) -1/9) (/.f64 1/18 (pow.f64 c 3)))) (fma.f64 (.f64 d d) (/.f64 1/2 c) c))
(fma.f64 (pow.f64 d 4) (+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 c 10))) (.f64 -1/9 (cbrt.f64 c))) (.f64 (/.f64 1 (pow.f64 c 3)) -1/72)) (fma.f64 (.f64 d d) (/.f64 1/2 c) c))
(fma.f64 (pow.f64 d 4) (+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 c 10))) (.f64 -1/9 (cbrt.f64 c))) (/.f64 -1/72 (pow.f64 c 3))) (fma.f64 (*.f64 d d) (/.f64 1/2 c) c))
(+.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)))))
(fma.f64 (pow.f64 d 4) (fma.f64 -5/72 (/.f64 1 (pow.f64 c 3)) (fma.f64 (cbrt.f64 c) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 c 10))) -1/9) (.f64 1/18 (/.f64 1 (pow.f64 c 3))))) (fma.f64 (.f64 d d) (.f64 (/.f64 1 c) 1/2) (fma.f64 (pow.f64 d 6) (fma.f64 (cbrt.f64 c) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 c 16))) 5/81) (fma.f64 1/6 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 c 10))) -1/9) (cbrt.f64 (/.f64 1 (pow.f64 c 5)))) (.f64 (/.f64 1 (pow.f64 c 5)) 25/1296))) c)))
(fma.f64 (pow.f64 d 4) (+.f64 (/.f64 -5/72 (pow.f64 c 3)) (fma.f64 (cbrt.f64 c) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 c 10))) -1/9) (/.f64 1/18 (pow.f64 c 3)))) (fma.f64 (.f64 d d) (/.f64 1/2 c) (fma.f64 (pow.f64 d 6) (fma.f64 (cbrt.f64 c) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 c 16))) 5/81) (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 c 10))) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 c 5))))) (/.f64 25/1296 (pow.f64 c 5)))) c)))
(fma.f64 (pow.f64 d 4) (+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 c 10))) (.f64 -1/9 (cbrt.f64 c))) (.f64 (/.f64 1 (pow.f64 c 3)) -1/72)) (fma.f64 (.f64 d d) (/.f64 1/2 c) (fma.f64 (pow.f64 d 6) (fma.f64 (cbrt.f64 c) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 c 16))) 5/81) (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 c 10))) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 c 5))))) (/.f64 25/1296 (pow.f64 c 5)))) c)))
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(cbrt.f64 d)
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(fma.f64 55/1296 (.f64 (pow.f64 d 6) (cbrt.f64 (/.f64 1 (pow.f64 c 17)))) (+.f64 (fma.f64 1/6 (.f64 (.f64 d d) (cbrt.f64 (/.f64 1 (pow.f64 c 5)))) (cbrt.f64 c)) (.f64 -5/72 (*.f64 (pow.f64 d 4) (cbrt.f64 (/.f64 1 (pow.f64 c 11)))))))
(fma.f64 55/1296 (.f64 (pow.f64 d 6) (cbrt.f64 (/.f64 1 (pow.f64 c 17)))) (fma.f64 1/6 (.f64 (.f64 d d) (cbrt.f64 (/.f64 1 (pow.f64 c 5)))) (fma.f64 -5/72 (.f64 (pow.f64 d 4) (cbrt.f64 (/.f64 1 (pow.f64 c 11)))) (cbrt.f64 c))))
(-.f64 (+.f64 1 (hypot.f64 c d)) 1)
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(+.f64 (hypot.f64 c d) 0)
(hypot.f64 c d)
(*.f64 (cbrt.f64 (hypot.f64 c d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2))
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(hypot.f64 c d)
(*.f64 (hypot.f64 c d) 1)
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(hypot.f64 c d)
(*.f64 1 (hypot.f64 c d))
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(hypot.f64 c d)
(*.f64 (sqrt.f64 (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d)))
(+.f64 (+.f64 1 (hypot.f64 c d)) -1)
(+.f64 (hypot.f64 c d) 0)
(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 (+.f64 1 (hypot.f64 c d)) -1)
(+.f64 (hypot.f64 c d) 0)
(hypot.f64 c d)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) (cbrt.f64 (hypot.f64 c d)))
(+.f64 (+.f64 1 (hypot.f64 c d)) -1)
(+.f64 (hypot.f64 c d) 0)
(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 1 (hypot.f64 c d)) -1)
(+.f64 (hypot.f64 c d) 0)
(hypot.f64 c d)
(.f64 (.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2) 1) (cbrt.f64 (hypot.f64 c d)))
(+.f64 (+.f64 1 (hypot.f64 c d)) -1)
(+.f64 (hypot.f64 c d) 0)
(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 1 (hypot.f64 c d)) -1)
(+.f64 (hypot.f64 c d) 0)
(hypot.f64 c d)
(.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))))
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(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))
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(hypot.f64 c d)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) 2) 3) (cbrt.f64 (hypot.f64 c d)))
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(hypot.f64 c d)
(sqrt.f64 (pow.f64 (hypot.f64 c d) 2))
(+.f64 (+.f64 1 (hypot.f64 c d)) -1)
(+.f64 (hypot.f64 c d) 0)
(hypot.f64 c d)
(log.f64 (exp.f64 (hypot.f64 c d)))
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(hypot.f64 c d)
(cbrt.f64 (pow.f64 (hypot.f64 c d) 3))
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(hypot.f64 c d)
(expm1.f64 (log1p.f64 (hypot.f64 c d)))
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(hypot.f64 c d)
(hypot.f64 c d)
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(exp.f64 (log.f64 (hypot.f64 c d)))
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(hypot.f64 c d)
(exp.f64 (*.f64 (log.f64 (hypot.f64 c d)) 1))
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(hypot.f64 c d)
(log1p.f64 (expm1.f64 (hypot.f64 c d)))
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(hypot.f64 c d)
(-.f64 (+.f64 1 (cbrt.f64 (hypot.f64 c d))) 1)
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(cbrt.f64 (hypot.f64 c d))
(*.f64 (cbrt.f64 (hypot.f64 c d)) 1)
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(cbrt.f64 (hypot.f64 c d))
(*.f64 1 (cbrt.f64 (hypot.f64 c d)))
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(cbrt.f64 (hypot.f64 c d))
(*.f64 (pow.f64 (hypot.f64 c d) 1/6) (pow.f64 (hypot.f64 c d) 1/6))
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(cbrt.f64 (hypot.f64 c d))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) 2))
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(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))
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(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))))
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(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))))
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(cbrt.f64 (hypot.f64 c d))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (hypot.f64 c d)))
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(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))))
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(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) 3)
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(pow.f64 (pow.f64 (hypot.f64 c d) 2) 1/6)
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(cbrt.f64 (hypot.f64 c d))
(log.f64 (exp.f64 (cbrt.f64 (hypot.f64 c d))))
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(cbrt.f64 (hypot.f64 c d))
(expm1.f64 (log1p.f64 (cbrt.f64 (hypot.f64 c d))))
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(cbrt.f64 (hypot.f64 c d))
(exp.f64 (log.f64 (cbrt.f64 (hypot.f64 c d))))
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(cbrt.f64 (hypot.f64 c d))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 c d))) 1))
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(cbrt.f64 (hypot.f64 c d))
(exp.f64 (*.f64 (log.f64 (hypot.f64 c d)) 1/3))
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(+.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))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

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 a (/.f64 1 c))
0.0ms	a	@	0	(*.f64 a (/.f64 1 c))
0.0ms	a	@	inf	(*.f64 a (/.f64 1 c))
0.0ms	c	@	-inf	(*.f64 a (/.f64 1 c))
0.0ms	c	@	0	(*.f64 a (/.f64 1 c))

rewrite68.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1286×	`add-sqr-sqrt`
1270×	`*-un-lft-identity`
1180×	`add-cube-cbrt`
1162×	`add-cbrt-cube`
1148×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	140	7
2	1658	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a c)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 c a))))) (#(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 (cbrt.f64 (*.f64 c c))) (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)))))))

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1366×	`associate-/l*`
1196×	`associate-*r/`
814×	`associate-*l/`
764×	`associate-/r*`
440×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	335
1	120	335
2	380	335
3	1802	335

Stop Event

1×	node limit

Counts

45 → 22

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	22.3b	(/.f64 (.f64 c a) (.f64 c c))

Compiler

Compiled 19 to 7 computations (63.2% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1730×	`add-sqr-sqrt`
1716×	`*-un-lft-identity`
1608×	`add-cube-cbrt`
1580×	`add-cbrt-cube`
158×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	151	7
2	2312	7

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

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

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1676×	`associate-+r+`
1432×	`associate-/l*`
1270×	`times-frac`
988×	`associate-/r*`
600×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	857
1	359	797
2	1449	779
3	6587	779

Stop Event

1×	node limit

Counts

75 → 59

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 (exp.f64 (log1p.f64 (/.f64 a c))) 1)
(.f64 c (.f64 a (pow.f64 c -2)))
(*.f64 c (/.f64 1 (/.f64 c (/.f64 a c))))
(.f64 a (.f64 c (pow.f64 c -2)))
(*.f64 a (/.f64 1 c))
(.f64 (.f64 c a) (pow.f64 c -2))
(*.f64 (/.f64 a c) 1)
(*.f64 1 (/.f64 a c))
(.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 (.f64 c a)) (pow.f64 c -2)))
(*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 (/.f64 a c)))
(.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 (cbrt.f64 (.f64 c a)) (pow.f64 c -2)))
(*.f64 (cbrt.f64 (/.f64 a c)) (pow.f64 (cbrt.f64 (/.f64 a c)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 a c)) 2) (cbrt.f64 (/.f64 a c)))
(*.f64 (/.f64 a 1) (/.f64 1 c))
(.f64 (/.f64 a 1) (/.f64 c (.f64 c c)))
(.f64 (pow.f64 c -2) (.f64 c a))
(.f64 (.f64 c (neg.f64 a)) (/.f64 1 (*.f64 c (neg.f64 c))))
(.f64 (/.f64 c 1) (/.f64 a (.f64 c c)))
(*.f64 (/.f64 1 c) (/.f64 a 1))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 c 4))) (/.f64 (.f64 c a) (pow.f64 (cbrt.f64 c) 2)))
(.f64 (/.f64 c (.f64 c c)) a)
(*.f64 (/.f64 1 (sqrt.f64 c)) (/.f64 a (sqrt.f64 c)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 c) 2)) (/.f64 a (cbrt.f64 c)))
(*.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) c))
(*.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 c)) (/.f64 (sqrt.f64 a) (sqrt.f64 c)))
(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 c) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 c)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) c))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 c)) (/.f64 (cbrt.f64 a) (sqrt.f64 c)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 c) 2)) (/.f64 (cbrt.f64 a) (cbrt.f64 c)))
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) 1) (/.f64 (sqrt.f64 (.f64 c a)) (.f64 c c)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) 1) (/.f64 (cbrt.f64 (.f64 c a)) (.f64 c c)))
(*.f64 (/.f64 c (cbrt.f64 (pow.f64 c 4))) (/.f64 a (pow.f64 (cbrt.f64 c) 2)))
(*.f64 (/.f64 a (cbrt.f64 (pow.f64 c 4))) (/.f64 c (pow.f64 (cbrt.f64 c) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) (cbrt.f64 (pow.f64 c 4))) (/.f64 (sqrt.f64 (*.f64 c a)) (pow.f64 (cbrt.f64 c) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) c) (/.f64 (cbrt.f64 (*.f64 c a)) c))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) (cbrt.f64 (pow.f64 c 4))) (cbrt.f64 (/.f64 a 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)
(pow.f64 (/.f64 c a) -1)
(neg.f64 (/.f64 (.f64 c a) (.f64 c (neg.f64 c))))
(sqrt.f64 (pow.f64 (/.f64 a c) 2))
(log.f64 (exp.f64 (/.f64 a c)))
(log.f64 (+.f64 1 (expm1.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 a) (log.f64 c)))
(exp.f64 (*.f64 (log.f64 (/.f64 a c)) 1))
(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 (exp.f64 (log1p.f64 (/.f64 a c))) 1)
(/.f64 a c)
(.f64 c (.f64 a (pow.f64 c -2)))
(/.f64 a c)
(*.f64 c (/.f64 1 (/.f64 c (/.f64 a c))))
(/.f64 a c)
(.f64 a (.f64 c (pow.f64 c -2)))
(/.f64 a c)
(*.f64 a (/.f64 1 c))
(/.f64 a c)
(.f64 (.f64 c a) (pow.f64 c -2))
(/.f64 a c)
(*.f64 (/.f64 a c) 1)
(/.f64 a c)
(*.f64 1 (/.f64 a c))
(/.f64 a c)
(.f64 (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 (.f64 c a)) (pow.f64 c -2)))
(/.f64 a c)
(*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 (/.f64 a c)))
(/.f64 a c)
(.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) (.f64 (cbrt.f64 (.f64 c a)) (pow.f64 c -2)))
(/.f64 a c)
(*.f64 (cbrt.f64 (/.f64 a c)) (pow.f64 (cbrt.f64 (/.f64 a c)) 2))
(/.f64 a c)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 a c)) 2) (cbrt.f64 (/.f64 a c)))
(/.f64 a c)
(*.f64 (/.f64 a 1) (/.f64 1 c))
(/.f64 a c)
(.f64 (/.f64 a 1) (/.f64 c (.f64 c c)))
(/.f64 a c)
(.f64 (pow.f64 c -2) (.f64 c a))
(/.f64 a c)
(.f64 (.f64 c (neg.f64 a)) (/.f64 1 (*.f64 c (neg.f64 c))))
(/.f64 a c)
(.f64 (/.f64 c 1) (/.f64 a (.f64 c c)))
(/.f64 a c)
(*.f64 (/.f64 1 c) (/.f64 a 1))
(/.f64 a c)
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 c 4))) (/.f64 (.f64 c a) (pow.f64 (cbrt.f64 c) 2)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 c 4))) (/.f64 (.f64 a c) (pow.f64 (cbrt.f64 c) 2)))
(*.f64 (/.f64 c (cbrt.f64 (pow.f64 c 4))) (/.f64 a (pow.f64 (cbrt.f64 c) 2)))
(.f64 (/.f64 c (.f64 c c)) a)
(/.f64 a c)
(*.f64 (/.f64 1 (sqrt.f64 c)) (/.f64 a (sqrt.f64 c)))
(/.f64 (/.f64 a (sqrt.f64 c)) (sqrt.f64 c))
(/.f64 a (*.f64 (sqrt.f64 c) (sqrt.f64 c)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 c) 2)) (/.f64 a (cbrt.f64 c)))
(/.f64 (/.f64 a (cbrt.f64 c)) (pow.f64 (cbrt.f64 c) 2))
(pow.f64 (/.f64 (cbrt.f64 a) (cbrt.f64 c)) 3)
(*.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) c))
(/.f64 a c)
(*.f64 (/.f64 (sqrt.f64 a) (sqrt.f64 c)) (/.f64 (sqrt.f64 a) (sqrt.f64 c)))
(*.f64 (/.f64 1 (sqrt.f64 c)) (/.f64 a (sqrt.f64 c)))
(/.f64 (/.f64 a (sqrt.f64 c)) (sqrt.f64 c))
(/.f64 a (*.f64 (sqrt.f64 c) (sqrt.f64 c)))
(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 c) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 c)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 c) 2)) (/.f64 a (cbrt.f64 c)))
(/.f64 (/.f64 a (cbrt.f64 c)) (pow.f64 (cbrt.f64 c) 2))
(pow.f64 (/.f64 (cbrt.f64 a) (cbrt.f64 c)) 3)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) c))
(/.f64 a c)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 c)) (/.f64 (cbrt.f64 a) (sqrt.f64 c)))
(*.f64 (/.f64 1 (sqrt.f64 c)) (/.f64 a (sqrt.f64 c)))
(/.f64 (/.f64 a (sqrt.f64 c)) (sqrt.f64 c))
(/.f64 a (*.f64 (sqrt.f64 c) (sqrt.f64 c)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 c) 2)) (/.f64 (cbrt.f64 a) (cbrt.f64 c)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 c) 2)) (/.f64 a (cbrt.f64 c)))
(/.f64 (/.f64 a (cbrt.f64 c)) (pow.f64 (cbrt.f64 c) 2))
(pow.f64 (/.f64 (cbrt.f64 a) (cbrt.f64 c)) 3)
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) 1) (/.f64 (sqrt.f64 (.f64 c a)) (.f64 c c)))
(/.f64 a c)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) 1) (/.f64 (cbrt.f64 (.f64 c a)) (.f64 c c)))
(/.f64 a c)
(*.f64 (/.f64 c (cbrt.f64 (pow.f64 c 4))) (/.f64 a (pow.f64 (cbrt.f64 c) 2)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 c 4))) (/.f64 (.f64 a c) (pow.f64 (cbrt.f64 c) 2)))
(*.f64 (/.f64 a (cbrt.f64 (pow.f64 c 4))) (/.f64 c (pow.f64 (cbrt.f64 c) 2)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 c 4))) (/.f64 (.f64 a c) (pow.f64 (cbrt.f64 c) 2)))
(*.f64 (/.f64 c (cbrt.f64 (pow.f64 c 4))) (/.f64 a (pow.f64 (cbrt.f64 c) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) (cbrt.f64 (pow.f64 c 4))) (/.f64 (sqrt.f64 (*.f64 c a)) (pow.f64 (cbrt.f64 c) 2)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 c 4))) (/.f64 (.f64 a c) (pow.f64 (cbrt.f64 c) 2)))
(*.f64 (/.f64 c (cbrt.f64 (pow.f64 c 4))) (/.f64 a (pow.f64 (cbrt.f64 c) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) c) (/.f64 (cbrt.f64 (*.f64 c a)) c))
(/.f64 a c)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 c a)) 2) (cbrt.f64 (pow.f64 c 4))) (cbrt.f64 (/.f64 a c)))
(.f64 (cbrt.f64 (/.f64 a c)) (/.f64 (pow.f64 (cbrt.f64 (.f64 a c)) 2) (cbrt.f64 (pow.f64 c 4))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (/.f64 (cbrt.f64 (pow.f64 c 4)) (cbrt.f64 (/.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)
(pow.f64 (/.f64 c a) -1)
(/.f64 a c)
(neg.f64 (/.f64 (.f64 c a) (.f64 c (neg.f64 c))))
(/.f64 a c)
(sqrt.f64 (pow.f64 (/.f64 a c) 2))
(/.f64 a c)
(log.f64 (exp.f64 (/.f64 a c)))
(/.f64 a c)
(log.f64 (+.f64 1 (expm1.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 a) (log.f64 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
✓	0.0b	(+.f64 (.f64 d d) (.f64 c c))
✓	3.7b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
✓	18.7b	(/.f64 c (+.f64 (.f64 d d) (.f64 c c)))

Compiler

Compiled 40 to 9 computations (77.5% saved)

series7.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	d	@	0	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
1.0ms	a	@	inf	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
0.0ms	a	@	0	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
0.0ms	c	@	0	(/.f64 c (+.f64 (.f64 d d) (.f64 c c)))
0.0ms	c	@	0	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)

rewrite123.0ms (0.9%)

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

simplify148.0ms (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)))
(+.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 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 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 (*.f64 c a) (pow.f64 d 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.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))))
(+.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)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.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) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.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) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.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) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5)) (.f64 -1 (/.f64 (*.f64 a (pow.f64 d 6)) (pow.f64 c 7))))))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.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))))
(+.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)))))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.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))))
(+.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)))))
(/.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 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 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 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 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 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 c a) (+.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))
(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))
(-.f64 (exp.f64 (log1p.f64 (/.f64 c (pow.f64 (hypot.f64 c d) 2)))) 1)
(*.f64 c (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) 2)) 1)
(*.f64 1 (/.f64 c (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 (sqrt.f64 c) (hypot.f64 c d)) (/.f64 (sqrt.f64 c) (hypot.f64 c d)))
(*.f64 (sqrt.f64 c) (/.f64 (sqrt.f64 c) (pow.f64 (hypot.f64 c d) 2)))
(*.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))
(.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)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 c (pow.f64 (hypot.f64 c d) 2))) 2) (cbrt.f64 (/.f64 c (pow.f64 (hypot.f64 c d) 2))))
(.f64 (cbrt.f64 (.f64 c c)) (/.f64 (cbrt.f64 c) (pow.f64 (hypot.f64 c d) 2)))
(.f64 (-.f64 (.f64 d d) (*.f64 c c)) (/.f64 c (-.f64 (pow.f64 d 4) (pow.f64 c 4))))
(*.f64 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)) c)
(.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2)) (/.f64 c (+.f64 (pow.f64 d 6) (pow.f64 c 6))))
(*.f64 (neg.f64 c) (/.f64 -1 (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 (sqrt.f64 c) (pow.f64 (hypot.f64 c d) 2)) (sqrt.f64 c))
(*.f64 (/.f64 (sqrt.f64 c) (pow.f64 (hypot.f64 c d) 2)) (/.f64 (sqrt.f64 c) 1))
(.f64 (/.f64 (cbrt.f64 c) (pow.f64 (hypot.f64 c d) 2)) (cbrt.f64 (.f64 c c)))
(.f64 (/.f64 (cbrt.f64 c) (pow.f64 (hypot.f64 c d) 2)) (/.f64 (cbrt.f64 (.f64 c c)) 1))
(*.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 c (hypot.f64 c d)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (/.f64 c (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))))
(*.f64 (/.f64 c 1) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 1 (hypot.f64 c d)))
(*.f64 (/.f64 c (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)))
(.f64 (/.f64 1 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (.f64 c (-.f64 (.f64 d d) (.f64 c c))))
(.f64 (/.f64 1 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (.f64 c (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 c d) 2))))
(.f64 (/.f64 c (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (-.f64 (.f64 d d) (*.f64 c c)))
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(/.f64 (/.f64 (/.f64 c (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) a)) (cbrt.f64 (hypot.f64 c d))) (cbrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (/.f64 c (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) a)) (*.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))))
(/.f64 (/.f64 (/.f64 c (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2) a)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (/.f64 (neg.f64 (*.f64 c a)) 1) (neg.f64 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (/.f64 (neg.f64 (*.f64 c a)) (hypot.f64 c d)) (neg.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (neg.f64 (*.f64 c a)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2)) (neg.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (/.f64 (neg.f64 (*.f64 c a)) (sqrt.f64 (neg.f64 (pow.f64 (hypot.f64 c d) 2)))) (sqrt.f64 (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (/.f64 (neg.f64 (.f64 c a)) (.f64 (cbrt.f64 (neg.f64 (pow.f64 (hypot.f64 c d) 2))) (cbrt.f64 (neg.f64 (pow.f64 (hypot.f64 c d) 2))))) (cbrt.f64 (neg.f64 (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (/.f64 (neg.f64 (*.f64 c a)) -1) (pow.f64 (hypot.f64 c d) 2))
(/.f64 (/.f64 (neg.f64 (*.f64 c a)) (neg.f64 (hypot.f64 c d))) (hypot.f64 c d))
(/.f64 (/.f64 (neg.f64 (*.f64 c a)) (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) 2))) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)))
(pow.f64 (*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) 2))) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (hypot.f64 c d)) 2)
(pow.f64 (cbrt.f64 (*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) 2)))) 3)
(pow.f64 (pow.f64 (*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) 2))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 c (pow.f64 (hypot.f64 c d) 2))) a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) 2))))))
(cbrt.f64 (pow.f64 (*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 c (pow.f64 (hypot.f64 c d) 2)) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) 2)))))
(exp.f64 (log.f64 (*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) 2)))))
(log1p.f64 (expm1.f64 (*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) 2)))))
(-.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 (exp.f64 (log1p.f64 (.f64 c c))) (-.f64 1 (.f64 d d)))
(-.f64 (/.f64 (pow.f64 d 4) (-.f64 (.f64 d d) (.f64 c c))) (/.f64 (pow.f64 c 4) (-.f64 (.f64 d d) (.f64 c c))))
(-.f64 (+.f64 (.f64 d d) (exp.f64 (log1p.f64 (.f64 c c)))) 1)
(-.f64 (+.f64 (.f64 c c) (exp.f64 (log1p.f64 (.f64 d d)))) 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 d 4) (pow.f64 c 4)) (/.f64 1 (-.f64 (.f64 d d) (*.f64 c c))))
(.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2))))
(.f64 (/.f64 1 (-.f64 (.f64 d d) (*.f64 c c))) (-.f64 (pow.f64 d 4) (pow.f64 c 4)))
(.f64 (/.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 d 4) (pow.f64 c 4)) (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (pow.f64 (hypot.f64 c d) 2))
(.f64 (/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (pow.f64 d 6) (pow.f64 c 6))) (+.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2)))
(.f64 (/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (-.f64 (.f64 (pow.f64 d 4) (pow.f64 d 4)) (.f64 (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2)) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2))))) (+.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2)))
(.f64 (/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (+.f64 (pow.f64 (pow.f64 d 4) 3) (pow.f64 (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2)) 3))) (+.f64 (.f64 (pow.f64 d 4) (pow.f64 d 4)) (-.f64 (.f64 (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2)) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2))) (.f64 (pow.f64 d 4) (-.f64 (pow.f64 c 4) (pow.f64 (.f64 c d) 2))))))
(/.f64 (pow.f64 (hypot.f64 c d) 2) 1)
(/.f64 (pow.f64 (hypot.f64 c d) 2) (/.f64 (-.f64 (.f64 d d) (.f64 c c)) (-.f64 (.f64 d d) (.f64 c c))))
(/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (hypot.f64 c d) (/.f64 1 (hypot.f64 c d)))
(/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2)) (/.f64 1 (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) (/.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (-.f64 (.f64 d d) (.f64 c c)))
(/.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)) (/.f64 1 (/.f64 1 (-.f64 (.f64 d d) (.f64 c c)))))
(/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 c d) 2)))
(/.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)) (/.f64 1 (/.f64 1 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 c d) 2)))))
(/.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2)) (/.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (.f64 c d) 2)) (pow.f64 (hypot.f64 c d) 2)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6))) (/.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 4)) (pow.f64 (*.f64 c d) 2)) (sqrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4))) (/.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))) (cbrt.f64 (+.f64 (pow.f64 d 6) (pow.f64 c 6)))) (/.f64 (-.f64 (+.f64 (pow.f64 d 4) (pow.f64 c 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))) (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)))) (/.f64 (-.f64 (.f64 d d) (*.f64 c c)) (cbrt.f64 (-.f64 (pow.f64 d 4) (pow.f64 c 4)))))
(/.f64 (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))) (.f64 1 (neg.f64 (-.f64 (.f64 d d) (*.f64 c c)))))
(/.f64 (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))) (.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)))
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(.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))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 d (*.f64 (/.f64 a d) c))
✓	2.5b	(*.f64 (/.f64 a d) c)
✓	7.4b	(.f64 (/.f64 d (.f64 (/.f64 a d) c)) b)
✓	22.4b	(/.f64 (+.f64 d (.f64 (/.f64 d (.f64 (/.f64 a d) c)) b)) (.f64 (/.f64 d (.f64 (/.f64 a d) c)) d))

Compiler

Compiled 73 to 11 computations (84.9% saved)

series20.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

Time	Variable		Point	Expression
4.0ms	b	@	0	(/.f64 (+.f64 d (.f64 (/.f64 d (.f64 (/.f64 a d) c)) b)) (.f64 (/.f64 d (.f64 (/.f64 a d) c)) d))
1.0ms	a	@	0	(/.f64 (+.f64 d (.f64 (/.f64 d (.f64 (/.f64 a d) c)) b)) (.f64 (/.f64 d (.f64 (/.f64 a d) c)) d))
1.0ms	c	@	0	(/.f64 (+.f64 d (.f64 (/.f64 d (.f64 (/.f64 a d) c)) b)) (.f64 (/.f64 d (.f64 (/.f64 a d) c)) d))
1.0ms	d	@	0	(/.f64 (+.f64 d (.f64 (/.f64 d (.f64 (/.f64 a d) c)) b)) (.f64 (/.f64 d (.f64 (/.f64 a d) c)) d))
1.0ms	b	@	inf	(/.f64 (+.f64 d (.f64 (/.f64 d (.f64 (/.f64 a d) c)) b)) (.f64 (/.f64 d (.f64 (/.f64 a d) c)) d))

rewrite98.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1480×	`associate-/l/`
732×	`distribute-rgt-in`
692×	`distribute-lft-in`
310×	`add-sqr-sqrt`
308×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	118
1	293	114
2	4593	108

Stop Event

1×	node limit

Counts

4 → 139

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 a c) (pow.f64 d 3)) d) (.f64 (/.f64 (.f64 a c) (pow.f64 d 3)) (.f64 (.f64 d b) (/.f64 d (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 a c) (pow.f64 d 3)) (.f64 (.f64 d b) (/.f64 d (.f64 a c)))) (.f64 (/.f64 (.f64 a c) (pow.f64 d 3)) d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 d (/.f64 (.f64 a c) (pow.f64 d 3))) (.f64 (.f64 (.f64 d b) (/.f64 d (.f64 a c))) (/.f64 (.f64 a c) (pow.f64 d 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 d b) (/.f64 d (.f64 a c))) (/.f64 (.f64 a c) (pow.f64 d 3))) (.f64 d (/.f64 (.f64 a c) (pow.f64 d 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d) (/.f64 (.f64 a c) (pow.f64 d 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d) (/.f64 (.f64 a c) (pow.f64 d 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d) (/.f64 (.f64 a c) (pow.f64 d 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d) (/.f64 (.f64 a c) (pow.f64 d 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d)) (.f64 (sqrt.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d)) (/.f64 (.f64 a c) (pow.f64 d 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d) (/.f64 (.f64 a c) (pow.f64 d 3)))) (sqrt.f64 (.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d) (/.f64 (.f64 a c) (pow.f64 d 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d)) 2) (.f64 (cbrt.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d)) (/.f64 (.f64 a c) (pow.f64 d 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d) (/.f64 (.f64 a c) (pow.f64 d 3)))) (pow.f64 (cbrt.f64 (.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d) (/.f64 (.f64 a c) (pow.f64 d 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d) (/.f64 (.f64 a c) (pow.f64 d 3)))) 2) (cbrt.f64 (.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d) (/.f64 (.f64 a c) (pow.f64 d 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d) (.f64 (/.f64 a d) (/.f64 c d))) (/.f64 1 d))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 d) (.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d) (.f64 (/.f64 a d) (/.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 a c) (pow.f64 d 3)) (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 a d) (/.f64 c d)) (/.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d) d))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d)) (/.f64 1 (.f64 d (neg.f64 (.f64 d (/.f64 d (.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 d (sqrt.f64 (.f64 (/.f64 a d) c)))) (/.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d) (/.f64 d (sqrt.f64 (.f64 (/.f64 a d) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (/.f64 (.f64 d d) (.f64 a c)) d)) 2)) (/.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d) (cbrt.f64 (.f64 (/.f64 (.f64 d d) (.f64 a c)) d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d) (.f64 d d)) (.f64 (/.f64 a d) c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d)) d) (/.f64 (sqrt.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d)) (.f64 d (/.f64 d (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d)) 1) (/.f64 (sqrt.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d)) (.f64 (/.f64 (.f64 d d) (.f64 a c)) d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d)) (.f64 d (/.f64 d (.f64 a c)))) (/.f64 (sqrt.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d)) d))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d)) 2) d) (/.f64 (cbrt.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d)) (.f64 d (/.f64 d (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d)) (.f64 (/.f64 (.f64 d d) (.f64 a c)) d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d)) (pow.f64 (cbrt.f64 (.f64 (/.f64 (.f64 d d) (.f64 a c)) d)) 2)) (/.f64 (sqrt.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d)) (cbrt.f64 (.f64 (/.f64 (.f64 d d) (.f64 a c)) d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d)) 2) (.f64 d (/.f64 d (.f64 a c)))) (/.f64 (cbrt.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d)) d))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d)) 2) (/.f64 d (sqrt.f64 (.f64 (/.f64 a d) c)))) (/.f64 (cbrt.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d)) (/.f64 d (sqrt.f64 (.f64 (/.f64 a d) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d)) 2) (pow.f64 (cbrt.f64 (.f64 (/.f64 (.f64 d d) (.f64 a c)) d)) 2)) (cbrt.f64 (.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d) (/.f64 (.f64 a c) (pow.f64 d 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 (.f64 d (/.f64 d (.f64 a c))) b d) (/.f64 (.f64 a c) (pow.f64 d 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 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b d) (/.f64 (*.f64 a c) (pow.f64 d 3)))))))))
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simplify117.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1546×	`distribute-lft-in`
1542×	`distribute-rgt-in`
536×	`associate-r`
516×	`associate-l`
488×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	329	8353
1	910	8153
2	4809	8153

Stop Event

1×	node limit

Counts

307 → 185

Calls

Call 1

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

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

eval403.0ms (2.8%)

Compiler: Compiled 32469 to 13725 computations (57.7% saved)

prune342.0ms (2.4%)

Pruning

26 alts after pruning (17 fresh and 9 done)

	Pruned	Kept	Total
New	1178	6	1184
Fresh	2	11	13
Picked	0	1	1
Done	2	8	10
Total	1182	26	1208

Error

Counts

1208 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	26.8b	(/.f64 (/.f64 a (hypot.f64 c d)) (/.f64 (hypot.f64 c d) c))
✓	25.3b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
✓	44.8b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 c c))
✓	52.7b	(/.f64 (+.f64 d (.f64 (/.f64 d (.f64 (/.f64 a d) c)) b)) (.f64 (/.f64 d (.f64 (/.f64 a d) c)) d))
✓	54.0b	(/.f64 (.f64 d b) (.f64 c c))
	52.6b	(/.f64 (.f64 c a) (.f64 d d))
✓	48.7b	(/.f64 (.f64 c a) (.f64 c c))
✓	38.6b	(/.f64 b d)
✓	37.9b	(/.f64 a c)
	38.2b	(/.f64 1 (/.f64 c a))
	31.7b	(+.f64 (/.f64 b d) (/.f64 (*.f64 (/.f64 c d) a) d))
	32.3b	(+.f64 (/.f64 a c) (/.f64 d (*.f64 (/.f64 c b) c)))
	31.7b	(+.f64 (/.f64 a c) (/.f64 1 (*.f64 (/.f64 c d) (/.f64 c b))))
	52.1b	(*.f64 (/.f64 d c) (/.f64 b c))
✓	38.3b	(.f64 (/.f64 c (+.f64 (.f64 d d) (*.f64 c c))) a)
	52.5b	(.f64 (/.f64 c (.f64 d d)) a)
	51.0b	(*.f64 (/.f64 a d) (/.f64 c d))
	28.2b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 c d)) 3)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a))
	27.7b	(*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a))
	47.5b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 a (.f64 (/.f64 d c) b)))
	42.7b	(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))))
	31.6b	(.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a))
	51.9b	(.f64 (.f64 (/.f64 d c) b) (/.f64 1 c))
	52.3b	(*.f64 d (/.f64 (/.f64 b c) c))
	53.7b	(*.f64 b (/.f64 (/.f64 d c) c))
✓	38.0b	(*.f64 a (/.f64 1 c))

Compiler

Compiled 361 to 225 computations (37.7% saved)

regimes666.0ms (4.7%)

Counts

42 → 3

Calls

Call 1

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

Outputs

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

Calls

5 calls:

183.0ms	a
176.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
139.0ms	d
103.0ms	b
55.0ms	c

Results

Error	Segments	Branch
5.7b	5	`a`
7.6b	3	`b`
2.1b	3	`c`
7.3b	5	`d`
6.1b	2	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 524 to 166 computations (68.3% saved)

bsearch40.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	1.197631496090934e+133	3.961966504977995e+136
18.0ms	-1.4980403534422163e+174	-1.5837598030094784e+165

Results

36.0ms

272×

body

256

valid

Compiler

Compiled 772 to 441 computations (42.9% saved)

regimes851.0ms (6%)

Counts

39 → 5

Calls

Call 1

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

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

Calls

5 calls:

269.0ms	d
225.0ms	b
149.0ms	a
139.0ms	c
62.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
9.2b	7	`a`
9.7b	5	`b`
3.3b	5	`c`
7.6b	7	`d`
6.2b	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 461 to 150 computations (67.5% saved)

bsearch96.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
15.0ms	1.197631496090934e+133	3.961966504977995e+136
53.0ms	2.0110466834563736e-144	2.4797883773237273e-138
13.0ms	-3.9876007549092457e-38	-1.8129259231053225e-39
13.0ms	-6.490280082077429e+82	-5.255269711800101e+81

Results

87.0ms	480×	body	256	valid
2.0ms	17×	body	256	infinite

Compiler

Compiled 1259 to 706 computations (43.9% saved)

regimes671.0ms (4.7%)

Counts

38 → 5

Calls

Call 1

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

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

Calls

5 calls:

268.0ms	a
132.0ms	b
102.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
79.0ms	d
79.0ms	c

Results

Error	Segments	Branch
12.6b	9	`a`
13.2b	5	`b`
4.4b	5	`c`
10.7b	5	`d`
10.7b	6	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 445 to 146 computations (67.2% saved)

bsearch84.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
16.0ms	3.961966504977995e+136	2.6024018158899445e+140
37.0ms	1.787625375865842e-111	4.53730532867819e-110
18.0ms	-3.9876007549092457e-38	-1.8129259231053225e-39
12.0ms	-6.490280082077429e+82	-5.255269711800101e+81

Results

54.0ms	448×	body	256	valid
24.0ms	9×	body	256	infinite

Compiler

Compiled 1290 to 677 computations (47.5% saved)

regimes710.0ms (5%)

Counts

35 → 5

Calls

Call 1

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

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

Calls

5 calls:

270.0ms	a
128.0ms	c
116.0ms	b
105.0ms	d
85.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
16.6b	7	`a`
16.1b	5	`b`
5.8b	5	`c`
10.7b	5	`d`
10.7b	6	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 396 to 133 computations (66.4% saved)

bsearch62.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	1.197631496090934e+133	3.961966504977995e+136
17.0ms	1.787625375865842e-111	4.53730532867819e-110
14.0ms	-3.9876007549092457e-38	-1.8129259231053225e-39
12.0ms	-6.490280082077429e+82	-5.255269711800101e+81

Results

55.0ms	448×	body	256	valid
1.0ms	10×	body	256	infinite

Compiler

Compiled 1258 to 661 computations (47.5% saved)

regimes517.0ms (3.6%)

Counts

28 → 5

Calls

Call 1

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

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

Calls

5 calls:

171.0ms	b
106.0ms	a
88.0ms	d
88.0ms	c
58.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
19.3b	7	`a`
16.9b	10	`b`
6.4b	5	`c`
10.9b	5	`d`
13.7b	4	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 299 to 103 computations (65.6% saved)

bsearch111.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	1.197631496090934e+133	3.961966504977995e+136
16.0ms	1.787625375865842e-111	4.53730532867819e-110
54.0ms	-9.72260186183513e-68	-9.703564471687346e-80
22.0ms	-2.4180456974227405e+112	-8.862125778114718e+104

Results

103.0ms	544×	body	256	valid
2.0ms	14×	body	256	infinite

Compiler

Compiled 1268 to 783 computations (38.2% saved)

regimes433.0ms (3%)

Counts

26 → 5

Calls

Call 1

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

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

Calls

4 calls:

179.0ms	b
120.0ms	a
68.0ms	d
61.0ms	c

Results

Error	Segments	Branch
21.6b	7	`a`
17.6b	13	`b`
9.7b	5	`c`
14.4b	3	`d`

Compiler

Compiled 244 to 85 computations (65.2% saved)

bsearch96.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	400213185347.4899	807215319582232400.0
44.0ms	-3.9876007549092457e-38	-1.8129259231053225e-39
16.0ms	-1.4800124489036897e-30	-3.1522730301878063e-34
17.0ms	-5.255269711800101e+81	-1.5742375464589496e+75

Results

90.0ms	528×	body	256	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 1082 to 677 computations (37.4% saved)

regimes546.0ms (3.8%)

Counts

24 → 5

Calls

Call 1

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

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

Calls

4 calls:

198.0ms	b
142.0ms	a
131.0ms	c
70.0ms	d

Results

Error	Segments	Branch
21.6b	7	`a`
17.6b	13	`b`
9.7b	5	`c`
14.4b	3	`d`

Compiler

Compiled 220 to 77 computations (65% saved)

bsearch71.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
20.0ms	400213185347.4899	807215319582232400.0
16.0ms	-3.9876007549092457e-38	-1.8129259231053225e-39
17.0ms	-1.4800124489036897e-30	-3.1522730301878063e-34
18.0ms	-5.255269711800101e+81	-1.5742375464589496e+75

Results

64.0ms	528×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 1082 to 677 computations (37.4% saved)

regimes278.0ms (1.9%)

Counts

22 → 5

Calls

Call 1

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

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

Calls

4 calls:

125.0ms	b
61.0ms	a
52.0ms	c
37.0ms	d

Results

Error	Segments	Branch
22.7b	6	`a`
17.8b	13	`b`
10.5b	5	`c`
14.4b	3	`d`

Compiler

Compiled 198 to 72 computations (63.6% saved)

bsearch83.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
32.0ms	400213185347.4899	807215319582232400.0
15.0ms	-3.9876007549092457e-38	-1.8129259231053225e-39
16.0ms	-1.4800124489036897e-30	-3.1522730301878063e-34
20.0ms	-5.255269711800101e+81	-1.5742375464589496e+75

Results

76.0ms

528×

body

256

valid

Compiler

Compiled 1082 to 677 computations (37.4% saved)

regimes279.0ms (2%)

Counts

19 → 6

Calls

Call 1

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

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

Calls

4 calls:

97.0ms	d
78.0ms	b
55.0ms	c
45.0ms	a

Results

Error	Segments	Branch
26.1b	5	`a`
21.4b	8	`b`
12.9b	6	`c`
18.4b	6	`d`

Compiler

Compiled 165 to 69 computations (58.2% saved)

bsearch84.0ms (0.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
22.0ms	400213185347.4899	807215319582232400.0
14.0ms	3.312316165671138e-49	5.623669764699718e-47
14.0ms	-3.9876007549092457e-38	-1.8129259231053225e-39
16.0ms	-1.4800124489036897e-30	-3.1522730301878063e-34
18.0ms	-5.255269711800101e+81	-1.5742375464589496e+75

Results

72.0ms

640×

body

256

valid

Compiler

Compiled 1194 to 761 computations (36.3% saved)

regimes206.0ms (1.4%)

Counts

18 → 6

Calls

Call 1

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

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

Calls

4 calls:

65.0ms	b
49.0ms	d
48.0ms	c
40.0ms	a

Results

Error	Segments	Branch
26.1b	5	`a`
21.4b	8	`b`
13.1b	6	`c`
18.4b	6	`d`

Compiler

Compiled 154 to 65 computations (57.8% saved)

bsearch78.0ms (0.5%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
17.0ms	400213185347.4899	807215319582232400.0
14.0ms	3.312316165671138e-49	5.623669764699718e-47
14.0ms	-3.9876007549092457e-38	-1.8129259231053225e-39
16.0ms	-1.4800124489036897e-30	-3.1522730301878063e-34
17.0ms	-5.255269711800101e+81	-1.5742375464589496e+75

Results

71.0ms	640×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 1194 to 761 computations (36.3% saved)

regimes191.0ms (1.3%)

Counts

17 → 6

Calls

Call 1

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

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

Calls

4 calls:

59.0ms	b
46.0ms	c
45.0ms	d
37.0ms	a

Results

Error	Segments	Branch
26.1b	5	`a`
21.5b	8	`b`
13.2b	6	`c`
18.4b	6	`d`

Compiler

Compiled 143 to 64 computations (55.2% saved)

bsearch109.0ms (0.8%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
15.0ms	1.197631496090934e+133	3.961966504977995e+136
13.0ms	3.312316165671138e-49	5.623669764699718e-47
16.0ms	-3.9876007549092457e-38	-1.8129259231053225e-39
50.0ms	-1.4800124489036897e-30	-3.1522730301878063e-34
14.0ms	-2.176872043158079e+84	-6.490280082077429e+82

Results

102.0ms	592×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 1098 to 731 computations (33.4% saved)

regimes180.0ms (1.3%)

Counts

16 → 3

Calls

Call 1

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

64.0ms	c
56.0ms	b
35.0ms	a
22.0ms	d

Results

Error	Segments	Branch
26.1b	5	`a`
23.6b	8	`b`
15.4b	3	`c`
19.4b	3	`d`

Compiler

Compiled 132 to 61 computations (53.8% saved)

bsearch64.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
50.0ms	1.3626540963476e-52	3.312316165671138e-49
14.0ms	-3.9876007549092457e-38	-1.8129259231053225e-39

Results

26.0ms	240×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 386 to 272 computations (29.5% saved)

regimes193.0ms (1.3%)

Accuracy

Total -41.9b remaining (-197.6%)

Threshold costs -41.9b (-197.6%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

4 calls:

105.0ms	b
33.0ms	a
30.0ms	d
21.0ms	c

Results

Error	Segments	Branch
29.6b	5	`a`
26.8b	9	`b`
21.2b	3	`c`
22.8b	3	`d`

Compiler

Compiled 121 to 56 computations (53.7% saved)

bsearch27.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	3.312316165671138e-49	5.623669764699718e-47
14.0ms	-3.9876007549092457e-38	-1.8129259231053225e-39

Results

25.0ms	224×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 250 to 185 computations (26% saved)

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative`
22×	`+-commutative`
4×	`if-if-or-not`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	207	2468
1	242	2468

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 c -2100000000000000028704638277242710325656407932076772782576627684251088579613685706536004484370613699082349291745659741224030927039309742537810398010679954427158821076992) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c 99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584) (.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 (/.f64 b (/.f64 (hypot.f64 c d) d)) a))))
(if (<=.f64 c -62000000000000006493204053735454693375148191278076089252890193154933992668239233024) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c -5670233501203789/3064991081731777716716694054300618367237478244367204352) (+.f64 (/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b)) (/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))) (if (<=.f64 c 965362170955867/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (+.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) a) d)) (if (<=.f64 c 21499999999999999724031686757978487694704010074336197997498504329198993424913805369830979537716222540117915933510513346974017457750016) (.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)) a))))))
(if (<=.f64 c -58000000000000002595584867410504094490685070935022061089846384236477285902080540672) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c -98175495586721/47890485652059026823698344598447161988085597568237568) (+.f64 (/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b)) (/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))) (if (<=.f64 c 1396150206085005/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) (+.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) a) d)) (if (<=.f64 c 40000000000000002346562450802960479021848171455589217552374854182039285408215262438019101431845574359216121503428029997507208414467457024) (+.f64 (/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b)) (/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))) (*.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (/.f64 b (/.f64 (hypot.f64 c d) d)) a))))))
(if (<=.f64 c -58000000000000002595584867410504094490685070935022061089846384236477285902080540672) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c -5363734393030611/766247770432944429179173513575154591809369561091801088) (+.f64 (/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b)) (/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))) (if (<=.f64 c 7107673776432753/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (+.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) a) d)) (if (<=.f64 c 17499999999999999130281318006221714043492933072108437468286307095681170131078712357095259457814686476011246842648543163168011763843072) (+.f64 (/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b)) (/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))) (+.f64 (/.f64 a c) (/.f64 d (*.f64 (/.f64 c b) c)))))))
(if (<=.f64 c -7799999999999999569340645845561584771261955653117024956983156299451603902135389000226732608613902045937664) (+.f64 (/.f64 a c) (/.f64 1 (.f64 (/.f64 c d) (/.f64 c b)))) (if (<=.f64 c -1597036205446237/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 4129220003451409/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144) (+.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) a) d)) (if (<=.f64 c 11999999999999999259522709686023651367774664597491998062533278390764883132814501166480966863883129061806966959951309539793825702084608) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 a c) (/.f64 d (*.f64 (/.f64 c b) c)))))))
(if (<=.f64 c -2499999999999999918390018751648879805686600901662494978316506154658250805477376) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c -2237924382162945/91343852333181432387730302044767688728495783936) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) a) (if (<=.f64 c -1628276512170007/191561942608236107294793378393788647952342390272950272) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (.f64 c c)) (if (<=.f64 c 9600000000000000) (+.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) a) d)) (+.f64 (/.f64 a c) (/.f64 d (*.f64 (/.f64 c b) c)))))))
(if (<=.f64 c -2999999999999999819792794635918353659075461954127468724843014103910907799142400) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c -7599808514120695/1461501637330902918203684832716283019655932542976) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) a) (if (<=.f64 c -3783348366512663/95780971304118053647396689196894323976171195136475136) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c 2900000000000) (+.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) a) d)) (+.f64 (/.f64 a c) (/.f64 d (*.f64 (/.f64 c b) c)))))))
(if (<=.f64 c -9599999999999999937557116997815619882469347802379932726602603143008612253696) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c -7716728645107167/23384026197294446691258957323460528314494920687616) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) a) (if (<=.f64 c -1724057483474125/47890485652059026823698344598447161988085597568237568) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c 8200000000000) (+.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 c d))) (+.f64 (/.f64 a c) (/.f64 d (*.f64 (/.f64 c b) c)))))))
(if (<=.f64 c -105000000000000000686142180872268057226260194263201051546132922579596192201572352) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c -496910556692507/1461501637330902918203684832716283019655932542976) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) a) (if (<=.f64 c -395096506629487/11972621413014756705924586149611790497021399392059392) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c 5142201741628769/205688069665150755269371147819668813122841983204197482918576128) (/.f64 b d) (if (<=.f64 c 175000000000000000) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) a) (+.f64 (/.f64 a c) (/.f64 d (*.f64 (/.f64 c b) c))))))))
(if (<=.f64 c -67999999999999994201236097871226389027617572462982515072758459653668219125760) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c -8476709496519237/2923003274661805836407369665432566039311865085952) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) a) (if (<=.f64 c -5746858278247083/383123885216472214589586756787577295904684780545900544) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c 271508251957999/411376139330301510538742295639337626245683966408394965837152256) (/.f64 b d) (if (<=.f64 c 450000000000000) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) a) (+.f64 (/.f64 a c) (*.f64 (/.f64 b c) (/.f64 d c))))))))
(if (<=.f64 c -79999999999999997072543725047092593688217145802188542349442910747416692012343099392) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a)) (if (<=.f64 c -3507603929594167/2923003274661805836407369665432566039311865085952) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) a) (if (<=.f64 c -221493496140773/11972621413014756705924586149611790497021399392059392) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a)) (if (<=.f64 c 7404770507945427/822752278660603021077484591278675252491367932816789931674304512) (/.f64 b d) (if (<=.f64 c 11999999999999999259522709686023651367774664597491998062533278390764883132814501166480966863883129061806966959951309539793825702084608) (.f64 (/.f64 c (+.f64 (.f64 d d) (.f64 c c))) a) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a)))))))
(if (<=.f64 c -4367612291467783/383123885216472214589586756787577295904684780545900544) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a)) (if (<=.f64 c 4852790400087115/6739986666787659948666753771754907668409286105635143120275902562304) (/.f64 b d) (.f64 (/.f64 1 c) (+.f64 (.f64 b (/.f64 d c)) a))))
(if (<=.f64 c -4980610507814139/191561942608236107294793378393788647952342390272950272) (/.f64 a c) (if (<=.f64 c 2828210957895823/51422017416287688817342786954917203280710495801049370729644032) (/.f64 b d) (/.f64 a c)))
(/.f64 a c)

Outputs
(if (<=.f64 c -2100000000000000028704638277242710325656407932076772782576627684251088579613685706536004484370613699082349291745659741224030927039309742537810398010679954427158821076992) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c 99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584) (.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 (/.f64 b (/.f64 (hypot.f64 c d) d)) a))))
(if (<=.f64 c -2100000000000000028704638277242710325656407932076772782576627684251088579613685706536004484370613699082349291745659741224030927039309742537810398010679954427158821076992) (+.f64 (/.f64 a c) (.f64 (/.f64 b c) (/.f64 d c))) (if (<=.f64 c 99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584) (.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 b (/.f64 (hypot.f64 c d) d))))))
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(if (or (<=.f64 c -4367612291467783/383123885216472214589586756787577295904684780545900544) (not (<=.f64 c 4852790400087115/6739986666787659948666753771754907668409286105635143120275902562304))) (.f64 (/.f64 1 c) (+.f64 a (.f64 b (/.f64 d c)))) (/.f64 b d))
(if (<=.f64 c -4980610507814139/191561942608236107294793378393788647952342390272950272) (/.f64 a c) (if (<=.f64 c 2828210957895823/51422017416287688817342786954917203280710495801049370729644032) (/.f64 b d) (/.f64 a c)))
(/.f64 a c)

Compiler

Compiled 968 to 436 computations (55% saved)

soundness230.0ms (1.6%)

Algorithm

3×	egg-herbie

Rules

1550×	`associate-/r*`
1550×	`associate-/r*`
1358×	`associate-/r/`
1350×	`associate-r`
1350×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	472	11315
1	1229	10677
2	6068	10677
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 224 to 80 computations (64.3% saved)

end190.0ms (1.3%)

Compiler: Compiled 916 to 225 computations (75.4% saved)