Details

analyze416.0ms (2.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
9.7%	90.1%	0.2%	12

Compiler

Compiled 20 to 12 computations (40% saved)

sample1.4s (7.3%)

Results

1.3s	8256×	body	256	valid
60.0ms	415×	body	256	invalid

preprocess19.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

23×	`fma-def_binary64`
8×	`+-commutative_binary64`
6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	126
1	64	126
2	74	126
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)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`fma-def_binary64`
2×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	18	18
2	22	18

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

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

26.4b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.4b	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
▶	26.4b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 36 to 20 computations (44.4% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 c c) (.f64 d d))
✓	0.5b	(+.f64 (.f64 a c) (.f64 b d))
✓	25.9b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 49 to 11 computations (77.6% saved)

series16.0ms (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)))
1.0ms	c	@	inf	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`log-prod_binary64`
506×	`fma-def_binary64`
354×	`pow2_binary64`
244×	`fma-neg_binary64`
242×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	264	32
2	3831	32

Stop Event

1×	node limit

Counts

3 → 165

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

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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 log1p.f64 (expm1.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 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 (*.f64 c c) 1 (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 d d) 1 (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 c c) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 d d) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 (pow.f64 c 4)) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) c) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 (cbrt.f64 c) 2) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 (pow.f64 d 4)) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (cbrt.f64 d) d) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 d 4)) (pow.f64 (cbrt.f64 d) 2) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) d) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) c) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 d (sqrt.f64 d)) (sqrt.f64 d) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (sqrt.f64 c)) (sqrt.f64 c) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 d (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (*.f64 c c))))))

simplify86.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

968×	`fma-neg_binary64`
528×	`associate-/r/_binary64`
448×	`associate-/l/_binary64`
358×	`sub-neg_binary64`
342×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	1848
1	140	1710
2	478	1629
3	2604	1578
4	6771	1578

Stop Event

1×	node limit

Counts

285 → 194

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))

Outputs
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
(.f64 b (/.f64 d (fma.f64 d d (.f64 c c))))
(.f64 d (/.f64 b (fma.f64 d d (.f64 c c))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))
(/.f64 (.f64 c a) (fma.f64 d d (.f64 c c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
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(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (fma.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) b (*.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 4)))))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (.f64 (.f64 (/.f64 c (pow.f64 d 3)) c) (+.f64 b (*.f64 c (/.f64 a d)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a))))
(-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)))
(fma.f64 (/.f64 c d) (/.f64 a d) (-.f64 (/.f64 b d) (*.f64 b (/.f64 c (/.f64 (pow.f64 d 3) c)))))
(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (fma.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) b (*.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 4)))))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (.f64 (.f64 (/.f64 c (pow.f64 d 3)) c) (+.f64 b (*.f64 c (/.f64 a d)))))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(pow.f64 d 2)
(*.f64 d d)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(pow.f64 c 2)
(*.f64 c c)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(pow.f64 c 2)
(*.f64 c c)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(pow.f64 c 2)
(*.f64 c c)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(pow.f64 d 2)
(*.f64 d d)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(pow.f64 d 2)
(*.f64 d d)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 c c (*.f64 d d))
✓	0.3b	(fma.f64 a c (*.f64 b d))
✓	25.9b	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))

Compiler

Compiled 39 to 9 computations (76.9% saved)

series13.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log-prod_binary64`
397×	`exp-prod_binary64`
340×	`pow-prod-down_binary64`
271×	`pow2_binary64`
271×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	203	32
2	2573	32

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 c d) -2)) (fma.f64 a c (.f64 b d)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 c d) -2)) (fma.f64 a c (.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 c d) -2)) (fma.f64 a c (.f64 b d))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 c d) -2)) (fma.f64 a c (.f64 b 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 (.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 (cbrt.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)) 4)) (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 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2)) (.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 (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 (sqrt.f64 (fma.f64 a c (.f64 b d))) (.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 (neg.f64 (fma.f64 a c (.f64 b d))) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 c d) -2) (fma.f64 a c (.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.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 (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 1 (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2)) (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) (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 (sqrt.f64 (fma.f64 a c (.f64 b d))) (cbrt.f64 (pow.f64 (hypot.f64 c d) 4))) (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (pow.f64 (cbrt.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 (cbrt.f64 (pow.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 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 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)) 6) 1/3)))) (#(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 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)) 2)))) (#(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 pow.f64 (exp.f64 1) (log.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 (pow.f64 (fma.f64 a c (.f64 b d)) 3) (pow.f64 (hypot.f64 c d) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 a c (.f64 b d))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2)))) 2)) (cbrt.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 pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))) (sqrt.f64 (log.f64 (.f64 (fma.f64 a c 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-2))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b d) (.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a c) (.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 a c (.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a c) 1) (.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 a c (.f64 b d)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a c (.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a c (.f64 b d))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a c (.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 (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 (cbrt.f64 (fma.f64 a c (.f64 b d))) (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.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 (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 (+.f64 (pow.f64 (.f64 a c) 3) (pow.f64 (.f64 b d) 3)) (+.f64 (pow.f64 (.f64 a c) 2) (-.f64 (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) 2) (pow.f64 (.f64 b d) 2)) (-.f64 (.f64 a c) (.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a c (.f64 b d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 a c (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 a c (.f64 b d)))) 2)) (cbrt.f64 (log.f64 (fma.f64 a c (.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 a c (.f64 b d))))) (sqrt.f64 (log.f64 (fma.f64 a c (.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a c (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a c (.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 b d))) (pow.f64 (exp.f64 a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 a) c) (+.f64 1 (expm1.f64 (.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a c (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a c (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a c (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 a c (.f64 b d))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 a c (.f64 b d)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 a c (.f64 b d)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a c (.f64 b d)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a c (.f64 b d))) 1) 1))))))
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Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b d) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a c) (*.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 a c (*.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a c) 1) (*.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 a c (*.f64 b d)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a c (*.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a c (*.f64 b d))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a c (*.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 (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 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (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 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 b d) 3)) (+.f64 (pow.f64 (*.f64 a c) 2) (-.f64 (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) 2) (pow.f64 (*.f64 b d) 2)) (-.f64 (*.f64 a c) (*.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a c (*.f64 b d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 a c (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 a c (*.f64 b d)))) 2)) (cbrt.f64 (log.f64 (fma.f64 a c (*.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 a c (*.f64 b d))))) (sqrt.f64 (log.f64 (fma.f64 a c (*.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a c (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a c (*.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b d))) (pow.f64 (exp.f64 a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 a) c) (+.f64 1 (expm1.f64 (*.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a c (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a c (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a c (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a c (*.f64 b d))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 a c (*.f64 b d)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 a c (*.f64 b d))) 1) 1))))))

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

simplify87.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

968×	`fma-neg_binary64`
528×	`associate-/r/_binary64`
448×	`associate-/l/_binary64`
358×	`sub-neg_binary64`
342×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	1848
1	140	1710
2	478	1629
3	2604	1578
4	6771	1578

Stop Event

1×	node limit

Counts

239 → 149

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))

Outputs
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 d b) (+.f64 (.f64 d d) (*.f64 c c)))
(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
(.f64 b (/.f64 d (fma.f64 d d (.f64 c c))))
(.f64 d (/.f64 b (fma.f64 d d (.f64 c c))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))
(/.f64 (.f64 c a) (fma.f64 d d (.f64 c c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))
(/.f64 (.f64 c a) (fma.f64 d d (.f64 c c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a))))
(-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)))
(fma.f64 (/.f64 c d) (/.f64 a d) (-.f64 (/.f64 b d) (*.f64 b (/.f64 c (/.f64 (pow.f64 d 3) c)))))
(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (fma.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) b (*.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 4)))))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (.f64 (.f64 (/.f64 c (pow.f64 d 3)) c) (+.f64 b (*.f64 c (/.f64 a d)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (/.f64 (.f64 d b) (*.f64 c c))))
(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 d c) (/.f64 b c)) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(-.f64 (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) (.f64 (.f64 d d) (/.f64 a (pow.f64 c 3))))
(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (fma.f64 -1 (/.f64 (.f64 b (pow.f64 d 3)) (pow.f64 c 4)) (/.f64 (.f64 d b) (.f64 c c)))))
(+.f64 (/.f64 a c) (-.f64 (-.f64 (.f64 (/.f64 d c) (/.f64 b c)) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b)) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))))
(fma.f64 -1 (fma.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d) (.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 4)))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)))
(-.f64 (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) (.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) (+.f64 a (*.f64 d (/.f64 b c)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 (.f64 d b) (.f64 c c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d c) (/.f64 b c)))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (/.f64 (.f64 d b) (*.f64 c c))))
(+.f64 (/.f64 a c) (-.f64 (.f64 (/.f64 d c) (/.f64 b c)) (.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d))))
(-.f64 (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) (.f64 (.f64 d d) (/.f64 a (pow.f64 c 3))))
(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (fma.f64 -1 (/.f64 (.f64 b (pow.f64 d 3)) (pow.f64 c 4)) (/.f64 (.f64 d b) (.f64 c c)))))
(+.f64 (/.f64 a c) (-.f64 (-.f64 (.f64 (/.f64 d c) (/.f64 b c)) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b)) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))))
(fma.f64 -1 (fma.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d) (.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 4)))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)))
(-.f64 (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) (.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) (+.f64 a (*.f64 d (/.f64 b c)))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a))
(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))
(/.f64 (.f64 c a) (fma.f64 d d (.f64 c c)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
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(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (.f64 d d) (.f64 c c))) (/.f64 c (/.f64 (+.f64 (.f64 d d) (*.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (/.f64 c (/.f64 (fma.f64 d d (.f64 c c)) a)))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
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(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
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(-.f64 (-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)))
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(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (.f64 (.f64 (/.f64 c (pow.f64 d 3)) c) (+.f64 b (*.f64 c (/.f64 a d)))))
(/.f64 b d)
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(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a))))
(-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)))
(fma.f64 (/.f64 c d) (/.f64 a d) (-.f64 (/.f64 b d) (*.f64 b (/.f64 c (/.f64 (pow.f64 d 3) c)))))
(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (fma.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) b (*.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 4)))))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (.f64 (.f64 (/.f64 c (pow.f64 d 3)) c) (+.f64 b (*.f64 c (/.f64 a d)))))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
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(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
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(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
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(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 c a)
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(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
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(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
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(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 c a)
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(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
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(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 d b)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 c a)
(+.f64 (.f64 d b) (.f64 c a))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
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(fma.f64 d b (*.f64 c a))
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(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 d b)
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(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
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(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
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(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(*.f64 d b)
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(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 d b))
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(pow.f64 d 2)
(*.f64 d d)
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(pow.f64 c 2)
(*.f64 c c)
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(*.f64 c c)
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(fma.f64 d d (*.f64 c c))
(pow.f64 c 2)
(*.f64 c c)
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(fma.f64 d d (*.f64 c c))
(pow.f64 d 2)
(*.f64 d d)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
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(fma.f64 d d (*.f64 c c))
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(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(pow.f64 d 2)
(*.f64 d d)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (.f64 d d) (.f64 c c))
(fma.f64 d d (*.f64 c c))
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(fma.f64 d d (*.f64 c c))

eval79.0ms (0.4%)

Compiler: Compiled 6427 to 2001 computations (68.9% saved)

prune72.0ms (0.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	328	15	343
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	330	15	345

Error

0.1b

Counts

345 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	37.0b	(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
▶	33.9b	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
▶	18.0b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
▶	35.5b	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
	30.7b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
	39.2b	(/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 a c) (.f64 b d)) (-.f64 (pow.f64 (.f64 a c) 2) (pow.f64 (.f64 b d) 2)))) (+.f64 (.f64 c c) (.f64 d d)))
▶	36.0b	(/.f64 a c)
	43.6b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 c c))
	45.5b	(/.f64 (fma.f64 a c (.f64 b d)) (.f64 d d))
	39.2b	(/.f64 (.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 2))) (+.f64 (.f64 c c) (*.f64 d d)))
	45.5b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 d d))
	46.5b	(/.f64 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b d)) 3)) (+.f64 (.f64 c c) (*.f64 d d)))
	39.3b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	40.1b	(/.f64 b d)
▶	41.1b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))

Compiler

Compiled 522 to 304 computations (41.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 c d)
✓	0.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
	0.3b	(fma.f64 a c (*.f64 b d))
✓	16.7b	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series18.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`log-prod_binary64`
411×	`pow-prod-down_binary64`
310×	`pow2_binary64`
254×	`prod-diff_binary64`
231×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	245	35
2	3129	35

Stop Event

1×	node limit

Counts

3 → 133

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)))
(hypot.f64 c d)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.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 (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 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (hypot.f64 c d) 2) (fma.f64 a c (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (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 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 2) (/.f64 (hypot.f64 c d) (cbrt.f64 (/.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 (pow.f64 (hypot.f64 c d) 2) (cbrt.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)) (hypot.f64 c d))) (/.f64 (hypot.f64 c d) (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (/.f64 (pow.f64 (hypot.f64 c d) 2) (sqrt.f64 (fma.f64 a c (*.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))) (neg.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (neg.f64 (pow.f64 (hypot.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (*.f64 (neg.f64 (hypot.f64 c d)) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (*.f64 (hypot.f64 c d) (neg.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) 1) (*.f64 (neg.f64 (hypot.f64 c d)) (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a c (*.f64 b d)) -1) (*.f64 (hypot.f64 c d) (neg.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) -1) (pow.f64 (neg.f64 (hypot.f64 c d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 (fma.f64 a c (*.f64 b d)))) (pow.f64 (neg.f64 (hypot.f64 c d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) 1) (hypot.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (/.f64 1 (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) -1) (neg.f64 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (fma.f64 a c (*.f64 b d)))) (neg.f64 (hypot.f64 c d)))))) (#(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 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 6) 1/3)))) (#(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 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))) -1)))) (#(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 pow.f64 (/.f64 (hypot.f64 c d) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (/.f64 1 (hypot.f64 c d))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.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 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 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 +.f64 0 (hypot.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 c d))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 c d)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 c d))) 1)))) (#(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 (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)) (cbrt.f64 (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 (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 (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 (sqrt.f64 (hypot.f64 c d)) (pow.f64 (hypot.f64 c d) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.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) -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 pow.f64 (pow.f64 (hypot.f64 c d) 3) 1/3)))) (#(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 (cbrt.f64 (hypot.f64 c d)) 3)))) (#(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 (sqrt.f64 (hypot.f64 c d)) 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 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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 log1p.f64 (expm1.f64 (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))))))

simplify94.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

835×	`times-frac_binary64`
582×	`associate-/l*_binary64`
545×	`fma-def_binary64`
387×	`associate-/r*_binary64`
346×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	2891
1	438	2686
2	1473	2556
3	7099	2535

Stop Event

1×	node limit

Counts

253 → 219

Calls

Call 1

Inputs
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
b
(+.f64 b (/.f64 (*.f64 c a) d))
(+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2))))))
a
(+.f64 a (/.f64 (*.f64 d b) c))
(+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))))
(*.f64 -1 a)
(+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (*.f64 -1 a))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (*.f64 -1 a)))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (*.f64 -1 a))))
(.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(+.f64 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))) (.f64 (.f64 d b) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
a
(+.f64 a (/.f64 (*.f64 d b) c))
(+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 3))) (+.f64 a (+.f64 (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 2))) (/.f64 (*.f64 d b) c))))
b
(+.f64 b (/.f64 (*.f64 c a) d))
(+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (+.f64 b (+.f64 (/.f64 (.f64 c a) d) (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 2))))))
(*.f64 -1 b)
(+.f64 (.f64 -1 b) (.f64 -1 (/.f64 (*.f64 c a) d)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 2))) (+.f64 (.f64 -1 b) (.f64 -1 (/.f64 (*.f64 c a) d))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 2))) (+.f64 (.f64 -1 b) (.f64 -1 (/.f64 (*.f64 c a) d)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
d
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) d)) d)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) d))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) d)))
c
(+.f64 c (*.f64 1/2 (/.f64 (pow.f64 d 2) c)))
(+.f64 c (+.f64 (.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))) (.f64 1/2 (/.f64 (pow.f64 d 2) c))))
(+.f64 c (+.f64 (.f64 1/16 (/.f64 (pow.f64 d 6) (pow.f64 c 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))) (*.f64 1/2 (/.f64 (pow.f64 d 2) c)))))
(*.f64 -1 c)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) c)) (.f64 -1 c))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) c)) (*.f64 -1 c)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) c)) (+.f64 (.f64 -1 c) (.f64 -1/16 (/.f64 (pow.f64 d 6) (pow.f64 c 5))))))
c
(+.f64 c (*.f64 1/2 (/.f64 (pow.f64 d 2) c)))
(+.f64 c (+.f64 (.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))) (.f64 1/2 (/.f64 (pow.f64 d 2) c))))
(+.f64 c (+.f64 (.f64 1/16 (/.f64 (pow.f64 d 6) (pow.f64 c 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 3))) (*.f64 1/2 (/.f64 (pow.f64 d 2) c)))))
d
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) d)) d)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) d))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) d)))
(*.f64 -1 d)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) d)) (.f64 -1 d))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (*.f64 -1 d)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5))) (.f64 -1 d))))

Outputs
(.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 (.f64 d d) (.f64 c c)))))
(.f64 d (.f64 b (sqrt.f64 (/.f64 1 (fma.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)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.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)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.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)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c 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 c (.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) a))
(.f64 (sqrt.f64 (/.f64 1 (fma.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)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.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)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.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)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c 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 c (.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) a))
(.f64 (sqrt.f64 (/.f64 1 (fma.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)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.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)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.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)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
b
(+.f64 b (/.f64 (*.f64 c a) d))
(+.f64 b (/.f64 c (/.f64 d a)))
(+.f64 b (*.f64 (/.f64 c d) a))
(fma.f64 (/.f64 c d) a b)
(+.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 b (.f64 c c)) (.f64 d d)))))
(+.f64 b (fma.f64 -1/2 (.f64 (/.f64 b d) (/.f64 c (/.f64 d c))) (.f64 (/.f64 c d) a)))
(fma.f64 (/.f64 c d) a (fma.f64 (/.f64 -1/2 d) (/.f64 b (/.f64 d (*.f64 c c))) 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 (.f64 a (pow.f64 c 3)) (pow.f64 d 3)) (+.f64 b (+.f64 (/.f64 c (/.f64 d a)) (.f64 -1/2 (/.f64 (.f64 b (.f64 c c)) (*.f64 d d))))))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 b d) (/.f64 c (/.f64 d c))) (.f64 (/.f64 c d) a)) (fma.f64 -1/2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 3) a)) b))
(+.f64 (fma.f64 (/.f64 c d) a b) (.f64 -1/2 (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 3)) a (.f64 b (*.f64 (/.f64 c d) (/.f64 c d))))))
(+.f64 (fma.f64 (/.f64 c d) a b) (.f64 -1/2 (fma.f64 (pow.f64 (/.f64 c d) 3) a (.f64 b (*.f64 (/.f64 c d) (/.f64 c d))))))
a
(+.f64 a (/.f64 (*.f64 d b) c))
(+.f64 a (/.f64 d (/.f64 c b)))
(+.f64 a (*.f64 (/.f64 d c) b))
(fma.f64 (/.f64 d c) b a)
(+.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 a (/.f64 (.f64 c c) (.f64 d d))) (/.f64 d (/.f64 c b))))
(+.f64 a (fma.f64 -1/2 (/.f64 a (.f64 (/.f64 c d) (/.f64 c d))) (.f64 (/.f64 d c) b)))
(fma.f64 -1/2 (.f64 (/.f64 a c) (.f64 (/.f64 d c) d)) (fma.f64 (/.f64 d c) b a))
(+.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 a (/.f64 (.f64 c c) (.f64 d d))) (/.f64 d (/.f64 c b)))))
(+.f64 (fma.f64 -1/2 (/.f64 a (.f64 (/.f64 c d) (/.f64 c d))) (.f64 (/.f64 d c) b)) (fma.f64 -1/2 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 3) b)) a))
(fma.f64 -1/2 (.f64 b (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (fma.f64 -1/2 (.f64 (/.f64 a c) (*.f64 (/.f64 d c) d)) (fma.f64 (/.f64 d c) b a)))
(fma.f64 -1/2 (.f64 b (pow.f64 (/.f64 d c) 3)) (fma.f64 -1/2 (.f64 (/.f64 a c) (*.f64 (/.f64 d c) d)) (fma.f64 (/.f64 d c) b a)))
(*.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))))
(-.f64 (neg.f64 a) (*.f64 (/.f64 d c) b))
(neg.f64 (fma.f64 (/.f64 d c) b 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 a (/.f64 (.f64 c c) (.f64 d d))) (*.f64 -1 (+.f64 a (/.f64 d (/.f64 c b)))))
(-.f64 (-.f64 (.f64 (/.f64 a (.f64 (/.f64 c d) (/.f64 c d))) 1/2) (*.f64 (/.f64 d c) b)) a)
(-.f64 (.f64 (/.f64 a c) (/.f64 (.f64 d d) (/.f64 c 1/2))) (fma.f64 (/.f64 d c) b 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 a (/.f64 (.f64 c c) (.f64 d d))) (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 (/.f64 a (.f64 (/.f64 c d) (/.f64 c d))) 1/2 (-.f64 (fma.f64 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 3) b)) 1/2 (neg.f64 a)) (.f64 (/.f64 d c) b)))
(fma.f64 (.f64 (/.f64 a c) (.f64 (/.f64 d c) d)) 1/2 (-.f64 (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) (.f64 b 1/2)) (fma.f64 (/.f64 d c) b a)))
(fma.f64 (.f64 (/.f64 a c) (.f64 (/.f64 d c) d)) 1/2 (-.f64 (.f64 (pow.f64 (/.f64 d c) 3) (.f64 b 1/2)) (fma.f64 (/.f64 d c) b 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 c (.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c)))) a))
(.f64 (sqrt.f64 (/.f64 1 (fma.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)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.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)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.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)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(.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 (.f64 d d) (.f64 c c)))))
(.f64 d (.f64 b (sqrt.f64 (/.f64 1 (fma.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)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.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)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.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)))) (+.f64 (.f64 c a) (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 d b (*.f64 c a)))
(.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 (.f64 d d) (.f64 c c)))))
(.f64 d (.f64 b (sqrt.f64 (/.f64 1 (fma.f64 d d (*.f64 c c))))))
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a
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b
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(fma.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5)) (fma.f64 1/2 (/.f64 c (/.f64 d c)) (fma.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3)) d)))
(fma.f64 1/2 (*.f64 (/.f64 c d) c) (fma.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5)) (fma.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3)) d)))
(fma.f64 1/2 (*.f64 (/.f64 c d) c) (fma.f64 1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5)) (fma.f64 -1/8 (/.f64 c (pow.f64 (/.f64 d c) 3)) d)))
(*.f64 -1 d)
(neg.f64 d)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) d)) (.f64 -1 d))
(fma.f64 -1/2 (/.f64 (*.f64 c c) d) (neg.f64 d))
(fma.f64 -1/2 (/.f64 c (/.f64 d c)) (neg.f64 d))
(-.f64 (.f64 -1/2 (.f64 (/.f64 c d) c)) d)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (*.f64 -1 d)))
(fma.f64 -1/2 (/.f64 (*.f64 c c) d) (fma.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3)) (neg.f64 d)))
(-.f64 (fma.f64 -1/2 (/.f64 c (/.f64 d c)) (/.f64 (*.f64 (pow.f64 c 4) 1/8) (pow.f64 d 3))) d)
(-.f64 (fma.f64 -1/2 (.f64 (/.f64 c d) c) (.f64 (/.f64 1/8 (pow.f64 d 3)) (pow.f64 c 4))) d)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) d)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5))) (.f64 -1 d))))
(fma.f64 -1/2 (/.f64 (*.f64 c c) d) (fma.f64 1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 3)) (fma.f64 -1/16 (/.f64 (pow.f64 c 6) (pow.f64 d 5)) (neg.f64 d))))
(fma.f64 -1/2 (/.f64 c (/.f64 d c)) (-.f64 (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 3)) 1/8 (*.f64 (/.f64 (pow.f64 c 6) (pow.f64 d 5)) -1/16)) d))
(-.f64 (fma.f64 -1/2 (.f64 (/.f64 c d) c) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 3)) 1/8 (.f64 (/.f64 -1/16 (pow.f64 d 5)) (pow.f64 c 6)))) d)
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 c d) c) (fma.f64 (/.f64 c (pow.f64 (/.f64 d c) 3)) 1/8 (/.f64 -1/16 (/.f64 (pow.f64 d 5) (pow.f64 c 6))))) d)

localize4.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 c c) (.f64 d d))
✓	18.0b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))

Compiler

Compiled 34 to 9 computations (73.5% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`prod-diff_binary64`
521×	`log-prod_binary64`
369×	`pow-prod-down_binary64`
259×	`pow2_binary64`
210×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	196	13
2	2838	13

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 d b) (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 d) (*.f64 b (pow.f64 (hypot.f64 d c) -2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 d) (*.f64 b (pow.f64 (hypot.f64 d c) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 d) (*.f64 b (pow.f64 (hypot.f64 d c) -2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 d) (*.f64 b (pow.f64 (hypot.f64 d c) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 d b) (pow.f64 (hypot.f64 d c) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 d (/.f64 1 (/.f64 (pow.f64 (hypot.f64 d c) 2) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 d (*.f64 b (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 d (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d b) (pow.f64 (hypot.f64 d c) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 d b) (pow.f64 (hypot.f64 d c) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 d b) (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 d b) (pow.f64 (hypot.f64 d c) -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 4)) (cbrt.f64 (*.f64 (*.f64 d b) (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 d b)) 2) (*.f64 (cbrt.f64 (*.f64 d b)) (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 d b)) (*.f64 (sqrt.f64 (*.f64 d b)) (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b (neg.f64 d)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 d c) -2) (*.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d 1) (/.f64 b (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b 1) (/.f64 d (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (pow.f64 (hypot.f64 d c) 2)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 d b)) 2) 1) (/.f64 (cbrt.f64 (*.f64 d b)) (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 d b)) 1) (/.f64 (sqrt.f64 (*.f64 d b)) (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 b (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 d (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 (*.f64 d b) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 d b)) 2) (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (cbrt.f64 (*.f64 (*.f64 d b) (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 (sqrt.f64 (*.f64 d b)) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (hypot.f64 d c)) (/.f64 d (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (*.f64 d b) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 d b)) 2) (hypot.f64 d c)) (/.f64 (cbrt.f64 (*.f64 d b)) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 d b) (+.f64 (pow.f64 c 6) (pow.f64 d 6))) (-.f64 (+.f64 (pow.f64 c 4) (pow.f64 d 4)) (pow.f64 (*.f64 c d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 d b) (-.f64 (pow.f64 c 4) (pow.f64 d 4))) (-.f64 (*.f64 c c) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 d b) (pow.f64 (hypot.f64 d c) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 d b) (pow.f64 (hypot.f64 d c) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) (*.f64 d b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 d b) 3) (pow.f64 (hypot.f64 d c) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) (*.f64 d b)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 d b) (neg.f64 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 d) (*.f64 b (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 d b) (pow.f64 (hypot.f64 d c) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 d b) 3) (pow.f64 (hypot.f64 d c) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 d b) (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 d b) (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 d b) (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 d b) (pow.f64 (hypot.f64 d c) -2))) 1))))))

simplify51.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

780×	`fma-neg_binary64`
682×	`associate-*l/_binary64`
467×	`associate-/l/_binary64`
454×	`associate-*r/_binary64`
423×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	924
1	146	876
2	484	813
3	2537	798

Stop Event

1×	node limit

Counts

87 → 68

Calls

Call 1

Inputs
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 7) b) (pow.f64 c 8))) (+.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 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) b) (pow.f64 d 7))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5)))))
(/.f64 b d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) b) (pow.f64 d 7))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5)))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 b d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) b) (pow.f64 d 7))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5)))))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 7) b) (pow.f64 c 8))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2)))))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 7) b) (pow.f64 c 8))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2)))))

Outputs
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (.f64 d b) (.f64 c c))
(.f64 (/.f64 d (.f64 c c)) b)
(.f64 b (/.f64 d (.f64 c c)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 (.f64 d b) (.f64 c c)))
(-.f64 (.f64 (/.f64 d (.f64 c c)) b) (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)))
(.f64 b (-.f64 (/.f64 d (.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4))))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2))))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 (.f64 d b) (.f64 c c))) (/.f64 (*.f64 b (pow.f64 d 5)) (pow.f64 c 6)))
(+.f64 (-.f64 (.f64 (/.f64 d (.f64 c c)) b) (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b))) (/.f64 b (/.f64 (pow.f64 c 6) (pow.f64 d 5))))
(fma.f64 (/.f64 d c) (/.f64 b c) (*.f64 b (-.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 (pow.f64 d 3) (pow.f64 c 4)))))
(.f64 b (-.f64 (+.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 d (.f64 c c))) (/.f64 (pow.f64 d 3) (pow.f64 c 4))))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 7) b) (pow.f64 c 8))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2)))))
(+.f64 (/.f64 (.f64 b (pow.f64 d 5)) (pow.f64 c 6)) (fma.f64 -1 (/.f64 (.f64 b (pow.f64 d 7)) (pow.f64 c 8)) (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 (.f64 d b) (.f64 c c)))))
(+.f64 (-.f64 (.f64 (/.f64 d (.f64 c c)) b) (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b))) (-.f64 (/.f64 b (/.f64 (pow.f64 c 6) (pow.f64 d 5))) (/.f64 b (/.f64 (pow.f64 c 8) (pow.f64 d 7)))))
(+.f64 (.f64 b (-.f64 (/.f64 d (.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4)))) (*.f64 b (-.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 (pow.f64 d 7) (pow.f64 c 8)))))
(.f64 b (+.f64 (-.f64 (/.f64 d (.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (-.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 (pow.f64 d 7) (pow.f64 c 8)))))
(/.f64 b d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)) (/.f64 b d))
(-.f64 (/.f64 b d) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b))
(-.f64 (/.f64 b d) (.f64 (/.f64 b (pow.f64 d 3)) (.f64 c c)))
(-.f64 (/.f64 b d) (*.f64 b (/.f64 c (/.f64 (pow.f64 d 3) c))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (/.f64 b d)) (/.f64 (.f64 b (pow.f64 c 4)) (pow.f64 d 5)))
(+.f64 (-.f64 (/.f64 b d) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b))
(fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b (-.f64 (/.f64 b d) (.f64 (/.f64 b (pow.f64 d 3)) (.f64 c c))))
(+.f64 (/.f64 b d) (*.f64 b (-.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 c (/.f64 (pow.f64 d 3) c)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) b) (pow.f64 d 7))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 -1 (/.f64 (pow.f64 c 6) (/.f64 (pow.f64 d 7) b)) (+.f64 (/.f64 b d) (/.f64 (.f64 b (pow.f64 c 4)) (pow.f64 d 5)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b)) (.f64 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) b)) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b))
(-.f64 (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b (/.f64 b d)) (*.f64 b (+.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 (pow.f64 c 6) (pow.f64 d 7)))))
(/.f64 b d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)) (/.f64 b d))
(-.f64 (/.f64 b d) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b))
(-.f64 (/.f64 b d) (.f64 (/.f64 b (pow.f64 d 3)) (.f64 c c)))
(-.f64 (/.f64 b d) (*.f64 b (/.f64 c (/.f64 (pow.f64 d 3) c))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (/.f64 b d)) (/.f64 (.f64 b (pow.f64 c 4)) (pow.f64 d 5)))
(+.f64 (-.f64 (/.f64 b d) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b))
(fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b (-.f64 (/.f64 b d) (.f64 (/.f64 b (pow.f64 d 3)) (.f64 c c))))
(+.f64 (/.f64 b d) (*.f64 b (-.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 c (/.f64 (pow.f64 d 3) c)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) b) (pow.f64 d 7))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 -1 (/.f64 (pow.f64 c 6) (/.f64 (pow.f64 d 7) b)) (+.f64 (/.f64 b d) (/.f64 (.f64 b (pow.f64 c 4)) (pow.f64 d 5)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b)) (.f64 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) b)) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b))
(-.f64 (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b (/.f64 b d)) (*.f64 b (+.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 (pow.f64 c 6) (pow.f64 d 7)))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 c c) (.f64 d d)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
(/.f64 b d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)) (/.f64 b d))
(-.f64 (/.f64 b d) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b))
(-.f64 (/.f64 b d) (.f64 (/.f64 b (pow.f64 d 3)) (.f64 c c)))
(-.f64 (/.f64 b d) (*.f64 b (/.f64 c (/.f64 (pow.f64 d 3) c))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (/.f64 b d)) (/.f64 (.f64 b (pow.f64 c 4)) (pow.f64 d 5)))
(+.f64 (-.f64 (/.f64 b d) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b))
(fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b (-.f64 (/.f64 b d) (.f64 (/.f64 b (pow.f64 d 3)) (.f64 c c))))
(+.f64 (/.f64 b d) (*.f64 b (-.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 c (/.f64 (pow.f64 d 3) c)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) b) (pow.f64 d 7))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 -1 (/.f64 (pow.f64 c 6) (/.f64 (pow.f64 d 7) b)) (+.f64 (/.f64 b d) (/.f64 (.f64 b (pow.f64 c 4)) (pow.f64 d 5)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b)) (.f64 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) b)) (.f64 (/.f64 (.f64 c c) (pow.f64 d 3)) b))
(-.f64 (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b (/.f64 b d)) (*.f64 b (+.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 (pow.f64 c 6) (pow.f64 d 7)))))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (.f64 d b) (.f64 c c))
(.f64 (/.f64 d (.f64 c c)) b)
(.f64 b (/.f64 d (.f64 c c)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 (.f64 d b) (.f64 c c)))
(-.f64 (.f64 (/.f64 d (.f64 c c)) b) (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)))
(.f64 b (-.f64 (/.f64 d (.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4))))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2))))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 (.f64 d b) (.f64 c c))) (/.f64 (*.f64 b (pow.f64 d 5)) (pow.f64 c 6)))
(+.f64 (-.f64 (.f64 (/.f64 d (.f64 c c)) b) (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b))) (/.f64 b (/.f64 (pow.f64 c 6) (pow.f64 d 5))))
(fma.f64 (/.f64 d c) (/.f64 b c) (*.f64 b (-.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 (pow.f64 d 3) (pow.f64 c 4)))))
(.f64 b (-.f64 (+.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 d (.f64 c c))) (/.f64 (pow.f64 d 3) (pow.f64 c 4))))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 7) b) (pow.f64 c 8))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2)))))
(+.f64 (/.f64 (.f64 b (pow.f64 d 5)) (pow.f64 c 6)) (fma.f64 -1 (/.f64 (.f64 b (pow.f64 d 7)) (pow.f64 c 8)) (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 (.f64 d b) (.f64 c c)))))
(+.f64 (-.f64 (.f64 (/.f64 d (.f64 c c)) b) (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b))) (-.f64 (/.f64 b (/.f64 (pow.f64 c 6) (pow.f64 d 5))) (/.f64 b (/.f64 (pow.f64 c 8) (pow.f64 d 7)))))
(+.f64 (.f64 b (-.f64 (/.f64 d (.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4)))) (*.f64 b (-.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 (pow.f64 d 7) (pow.f64 c 8)))))
(.f64 b (+.f64 (-.f64 (/.f64 d (.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (-.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 (pow.f64 d 7) (pow.f64 c 8)))))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 (.f64 d b) (.f64 c c))
(.f64 (/.f64 d (.f64 c c)) b)
(.f64 b (/.f64 d (.f64 c c)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 (.f64 d b) (.f64 c c)))
(-.f64 (.f64 (/.f64 d (.f64 c c)) b) (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)))
(.f64 b (-.f64 (/.f64 d (.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4))))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2))))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 (.f64 d b) (.f64 c c))) (/.f64 (*.f64 b (pow.f64 d 5)) (pow.f64 c 6)))
(+.f64 (-.f64 (.f64 (/.f64 d (.f64 c c)) b) (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b))) (/.f64 b (/.f64 (pow.f64 c 6) (pow.f64 d 5))))
(fma.f64 (/.f64 d c) (/.f64 b c) (*.f64 b (-.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 (pow.f64 d 3) (pow.f64 c 4)))))
(.f64 b (-.f64 (+.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 d (.f64 c c))) (/.f64 (pow.f64 d 3) (pow.f64 c 4))))
(+.f64 (/.f64 (.f64 (pow.f64 d 5) b) (pow.f64 c 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 7) b) (pow.f64 c 8))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 d 3) b) (pow.f64 c 4))) (/.f64 (.f64 d b) (pow.f64 c 2)))))
(+.f64 (/.f64 (.f64 b (pow.f64 d 5)) (pow.f64 c 6)) (fma.f64 -1 (/.f64 (.f64 b (pow.f64 d 7)) (pow.f64 c 8)) (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 (.f64 d b) (.f64 c c)))))
(+.f64 (-.f64 (.f64 (/.f64 d (.f64 c c)) b) (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b))) (-.f64 (/.f64 b (/.f64 (pow.f64 c 6) (pow.f64 d 5))) (/.f64 b (/.f64 (pow.f64 c 8) (pow.f64 d 7)))))
(+.f64 (.f64 b (-.f64 (/.f64 d (.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4)))) (*.f64 b (-.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 (pow.f64 d 7) (pow.f64 c 8)))))
(.f64 b (+.f64 (-.f64 (/.f64 d (.f64 c c)) (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (-.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) (/.f64 (pow.f64 d 7) (pow.f64 c 8)))))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.7b	(.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c)))
✓	5.0b	(/.f64 (*.f64 d a) c)
✓	6.2b	(/.f64 d (*.f64 c c))
✓	6.2b	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))

Compiler

Compiled 64 to 12 computations (81.3% saved)

series29.0ms (0.1%)

Counts

4 → 156

Calls

39 calls:

Time	Variable		Point	Expression
5.0ms	c	@	inf	(/.f64 (*.f64 d a) c)
4.0ms	a	@	0	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
1.0ms	b	@	0	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
1.0ms	a	@	inf	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
1.0ms	a	@	-inf	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))

rewrite107.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`log-prod_binary64`
550×	`fma-def_binary64`
314×	`log-div_binary64`
281×	`expm1-udef_binary64`
281×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	58
1	299	56
2	4796	56

Stop Event

1×	node limit

Counts

4 → 211

Calls

Call 1

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

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

simplify96.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

663×	`fma-neg_binary64`
577×	`associate-/l*_binary64`
574×	`fma-def_binary64`
396×	`distribute-neg-frac_binary64`
395×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	2679
1	88	2607
2	246	2601
3	1080	2247
4	6000	2187

Stop Event

1×	node limit

Counts

367 → 231

Calls

Call 1

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

Outputs
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(/.f64 d (/.f64 c (/.f64 b c)))
(*.f64 (/.f64 d c) (/.f64 b c))
(.f64 d (/.f64 b (.f64 c c)))
(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c)) a) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (fma.f64 -1 (/.f64 (.f64 d d) (pow.f64 c 3)) (/.f64 1 c)) a (/.f64 d (/.f64 (.f64 c c) b)))
(fma.f64 (-.f64 (/.f64 1 c) (/.f64 (*.f64 d d) (pow.f64 c 3))) a (/.f64 d (/.f64 c (/.f64 b c))))
(fma.f64 a (-.f64 (/.f64 1 c) (/.f64 (.f64 d d) (pow.f64 c 3))) (.f64 (/.f64 d c) (/.f64 b c)))
(+.f64 (.f64 (/.f64 d (.f64 c c)) (-.f64 b (*.f64 a (/.f64 d c)))) (/.f64 a c))
(fma.f64 (/.f64 d (.f64 c c)) (-.f64 b (.f64 a (/.f64 d c))) (/.f64 a c))
(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c)) a) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 (fma.f64 -1 (/.f64 (.f64 d d) (pow.f64 c 3)) (/.f64 1 c)) a (/.f64 d (/.f64 (.f64 c c) b)))
(fma.f64 (-.f64 (/.f64 1 c) (/.f64 (*.f64 d d) (pow.f64 c 3))) a (/.f64 d (/.f64 c (/.f64 b c))))
(fma.f64 a (-.f64 (/.f64 1 c) (/.f64 (.f64 d d) (pow.f64 c 3))) (.f64 (/.f64 d c) (/.f64 b c)))
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(-.f64 (.f64 (/.f64 d c) (/.f64 b c)) (/.f64 (.f64 (*.f64 d d) a) (pow.f64 c 3)))
(.f64 (/.f64 d (.f64 c c)) (-.f64 b (*.f64 a (/.f64 d c))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (/.f64 d (/.f64 (.f64 c c) b)))
(-.f64 (/.f64 d (/.f64 c (/.f64 b c))) (/.f64 (.f64 (.f64 d d) a) (pow.f64 c 3)))
(-.f64 (.f64 (/.f64 d c) (/.f64 b c)) (/.f64 (.f64 (*.f64 d d) a) (pow.f64 c 3)))
(.f64 (/.f64 d (.f64 c c)) (-.f64 b (*.f64 a (/.f64 d c))))

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.7b	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series8.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`log-prod_binary64`
414×	`exp-prod_binary64`
323×	`pow-prod-down_binary64`
278×	`prod-diff_binary64`
265×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	191	14
2	2651	14

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 c d) (/.f64 a d)) 1) (/.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 2) (cbrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) (sqrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 c d) (/.f64 a d)) 3) (pow.f64 (/.f64 b d) 3)) (+.f64 (pow.f64 (*.f64 (/.f64 c d) (/.f64 a d)) 2) (-.f64 (pow.f64 (/.f64 b d) 2) (*.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) (/.f64 a d)) 2) (pow.f64 (/.f64 b d) 2)) (-.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))) (sqrt.f64 (log.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 b d))) (pow.f64 (exp.f64 (/.f64 a d)) (/.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 a d)) (/.f64 c d)) (+.f64 1 (expm1.f64 (/.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))) 1) 1))))))

simplify113.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

931×	`associate-/r/_binary64`
846×	`*-commutative_binary64`
624×	`times-frac_binary64`
533×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	660
1	20	660
2	38	588
3	84	588
4	227	588
5	839	588
6	3882	588
7	4783	588
8	4993	588
9	5213	588
10	5441	588
11	5776	588
12	7223	588

Stop Event

1×	node limit

Counts

84 → 41

Calls

Call 1

Inputs
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(/.f64 (*.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 (*.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)))

Outputs
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 a (/.f64 (/.f64 c d) d))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 a (/.f64 (/.f64 c d) d))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 a (/.f64 (/.f64 c d) d))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 a (/.f64 (/.f64 c d) d))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 a (/.f64 (/.f64 c d) d))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 a (/.f64 (/.f64 c d) d))
(.f64 c (/.f64 a (.f64 d d)))
(*.f64 c (/.f64 (/.f64 a d) d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))

eval337.0ms (1.7%)

Compiler: Compiled 15110 to 5306 computations (64.9% saved)

prune188.0ms (1%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	705	16	721
Fresh	7	3	10
Picked	1	0	1
Done	2	2	4
Total	715	21	736

Error

Counts

736 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	40.3b	(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))
	33.9b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
✓	41.1b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	52.6b	(*.f64 c (/.f64 (/.f64 a d) d))
	53.1b	(.f64 b (/.f64 d (.f64 c c)))
	45.5b	(.f64 (/.f64 1 (hypot.f64 c d)) (-.f64 (.f64 1/2 (fma.f64 (pow.f64 (/.f64 c d) 3) a (.f64 b (.f64 (/.f64 c d) (/.f64 c d))))) (fma.f64 (/.f64 c d) a b)))
	45.8b	(pow.f64 (sqrt.f64 (fma.f64 (/.f64 d c) (/.f64 (-.f64 b (/.f64 a (/.f64 c d))) c) (/.f64 a c))) 2)
▶	40.1b	(/.f64 b d)
✓	36.0b	(/.f64 a c)
	44.7b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (fma.f64 (/.f64 c d) a b)))
	43.6b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (*.f64 c c))
▶	30.3b	(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 d c) (-.f64 b (/.f64 a (/.f64 c d)))) c))
▶	17.9b	(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
	30.7b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
	45.3b	(*.f64 (/.f64 1 (hypot.f64 c d)) a)
	53.0b	(/.f64 (.f64 d b) (.f64 c c))
	37.0b	(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
	39.3b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	31.5b	(+.f64 (/.f64 a c) (/.f64 (-.f64 b (/.f64 a (/.f64 c d))) (/.f64 c (/.f64 d c))))
▶	50.1b	(/.f64 (.f64 d b) (.f64 d d))
	46.1b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (.f64 -1 b) (.f64 -1 (/.f64 (.f64 c a) d))))

Compiler

Compiled 646 to 388 computations (39.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 c d)
✓	0.1b	(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
	0.3b	(fma.f64 a c (*.f64 b d))
	16.7b	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 44 to 9 computations (79.5% saved)

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`log-prod_binary64`
351×	`pow-prod-down_binary64`
284×	`pow2_binary64`
263×	`prod-diff_binary64`
201×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	209	17
2	2798	17

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.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 (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 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (/.f64 1 (hypot.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (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 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 2) (*.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (/.f64 1 (hypot.f64 c d))))))) (#(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))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 4)) (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 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (/.f64 1 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (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 (/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) (/.f64 1 (neg.f64 (hypot.f64 c d))))))) (#(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 (pow.f64 (cbrt.f64 (hypot.f64 c d)) -2) (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (cbrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 c d) -1/2) (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (sqrt.f64 (hypot.f64 c d))) (pow.f64 (hypot.f64 c d) -3/2))))) (#(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 (fma.f64 a c (*.f64 b d)) 1) (pow.f64 (hypot.f64 c d) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 2) 1) (/.f64 (cbrt.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 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 1) (/.f64 (sqrt.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)) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))) (/.f64 (/.f64 1 (hypot.f64 c d)) (cbrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 2) (cbrt.f64 (pow.f64 (hypot.f64 c d) 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 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (cbrt.f64 (pow.f64 (hypot.f64 c d) 2))) (/.f64 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (cbrt.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) 2) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d))))))) (#(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 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 6) 1/3)))) (#(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 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 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 pow.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (neg.f64 (hypot.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.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 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) 3) (pow.f64 (hypot.f64 c d) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 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 exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.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 exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.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 exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) -2))) 1) 1))))))

simplify79.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

968×	`fma-neg_binary64`
522×	`associate-/r/_binary64`
444×	`associate-/l/_binary64`
358×	`sub-neg_binary64`
342×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	1308
1	137	1206
2	472	1125
3	2598	1074
4	6729	1074

Stop Event

1×	node limit

Counts

98 → 70

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)))))

Outputs
(/.f64 (*.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b))
(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
(.f64 b (/.f64 d (fma.f64 d d (.f64 c c))))
(.f64 d (/.f64 b (fma.f64 d d (.f64 c c))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b)) (/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c))))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) c)))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b)) (/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c))))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) c)))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 d (/.f64 (+.f64 (.f64 d d) (.f64 c c)) b)) (/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c))))
(+.f64 (.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b) (/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) c)))
(fma.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a (.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) c))
(.f64 (/.f64 a (fma.f64 d d (.f64 c c))) c)
(.f64 c (/.f64 a (fma.f64 d d (.f64 c c))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (/.f64 (.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
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(fma.f64 -1 (fma.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d) (.f64 (/.f64 b (pow.f64 c 4)) (pow.f64 d 3))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)))
(-.f64 (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) (.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) (+.f64 a (*.f64 d (/.f64 b c)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a))))
(-.f64 (+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d))) (/.f64 c (/.f64 (/.f64 (pow.f64 d 3) b) c)))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)))
(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)) (/.f64 c (/.f64 (/.f64 (pow.f64 d 3) b) c)))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (fma.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) b (*.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 4)))))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (.f64 (.f64 (/.f64 c (pow.f64 d 3)) c) (+.f64 b (*.f64 c (/.f64 a d)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 b d) (/.f64 c (/.f64 (*.f64 d d) a)))
(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a))))
(-.f64 (+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d))) (/.f64 c (/.f64 (/.f64 (pow.f64 d 3) b) c)))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) b)))
(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 3) b)) (fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (+.f64 (/.f64 b d) (/.f64 c (/.f64 (.f64 d d) a)))))
(-.f64 (-.f64 (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)) (/.f64 c (/.f64 (/.f64 (pow.f64 d 3) b) c)))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (fma.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) b (*.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 4)))))
(-.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) (.f64 (.f64 (/.f64 c (pow.f64 d 3)) c) (+.f64 b (*.f64 c (/.f64 a d)))))

localize7.0ms (0%)

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	22.1b	(/.f64 (.f64 d b) (.f64 d d))

Compiler

Compiled 19 to 7 computations (63.2% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`pow1_binary64`
712×	`add-log-exp_binary64`
712×	`log1p-expm1-u_binary64`
712×	`expm1-log1p-u_binary64`
693×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	131	4
2	1965	4

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

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

Outputs

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

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	96

Stop Event

1×

saturated

Counts

74 → 51

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.0b	(/.f64 (*.f64 (/.f64 d c) (-.f64 b (/.f64 a (/.f64 c d)))) c)
✓	2.7b	(*.f64 (/.f64 d c) (-.f64 b (/.f64 a (/.f64 c d))))
✓	5.9b	(/.f64 a (/.f64 c d))
✓	6.2b	(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 d c) (-.f64 b (/.f64 a (/.f64 c d)))) c))

Compiler

Compiled 70 to 12 computations (82.9% saved)

series36.0ms (0.2%)

Counts

4 → 180

Calls

45 calls:

Time	Variable		Point	Expression
12.0ms	a	@	-inf	(*.f64 (/.f64 d c) (-.f64 b (/.f64 a (/.f64 c d))))
8.0ms	d	@	inf	(*.f64 (/.f64 d c) (-.f64 b (/.f64 a (/.f64 c d))))
1.0ms	d	@	-inf	(*.f64 (/.f64 d c) (-.f64 b (/.f64 a (/.f64 c d))))
1.0ms	b	@	-inf	(*.f64 (/.f64 d c) (-.f64 b (/.f64 a (/.f64 c d))))
1.0ms	c	@	-inf	(*.f64 (/.f64 d c) (-.f64 b (/.f64 a (/.f64 c d))))

rewrite115.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

669×	`fma-def_binary64`
442×	`log-div_binary64`
334×	`fma-neg_binary64`
292×	`expm1-udef_binary64`
292×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	67
1	307	67
2	5210	65

Stop Event

1×	node limit

Counts

4 → 241

Calls

Call 1

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

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

simplify118.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

782×	`fma-neg_binary64`
639×	`associate-/l*_binary64`
632×	`fma-def_binary64`
426×	`associate-/r*_binary64`
422×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	3471
1	100	3363
2	276	3357
3	1188	2787
4	6561	2727

Stop Event

1×	node limit

Counts

421 → 265

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	9.1b	(/.f64 (fma.f64 d d (*.f64 c c)) a)
✓	11.2b	(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) a))

Compiler

Compiled 34 to 8 computations (76.5% saved)

series11.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite67.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

955×	`pow1_binary64`
885×	`add-log-exp_binary64`
885×	`log1p-expm1-u_binary64`
885×	`expm1-log1p-u_binary64`
89×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	171	23
2	2396	23

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs

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

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

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

770×	`fma-neg_binary64`
541×	`associate-/r/_binary64`
506×	`associate-/l/_binary64`
347×	`sub-neg_binary64`
309×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	1416
1	152	1338
2	486	1284
3	2619	1260
4	6667	1260

Stop Event

1×	node limit

Counts

146 → 99

Calls

Call 1

Inputs
(/.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)))
(/.f64 (pow.f64 c 2) a)
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(/.f64 (pow.f64 d 2) a)
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(/.f64 (pow.f64 d 2) a)
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(/.f64 (pow.f64 d 2) a)
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(/.f64 (pow.f64 c 2) a)
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(/.f64 (pow.f64 c 2) a)
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)

Outputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (/.f64 (.f64 c a) (*.f64 d d)))
(-.f64 (/.f64 (.f64 c a) (.f64 d d)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a))
(.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 (.f64 a (pow.f64 c 5)) (pow.f64 d 6))))
(+.f64 (-.f64 (/.f64 (.f64 c a) (.f64 d d)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)) (/.f64 a (/.f64 (pow.f64 d 6) (pow.f64 c 5))))
(fma.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a (.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))))
(.f64 a (-.f64 (+.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 c (.f64 d d))) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (+.f64 (/.f64 (.f64 a (pow.f64 c 5)) (pow.f64 d 6)) (fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 7)) (pow.f64 d 8)) (/.f64 (.f64 c a) (*.f64 d d)))))
(+.f64 (-.f64 (/.f64 a (/.f64 (pow.f64 d 6) (pow.f64 c 5))) (.f64 (/.f64 (pow.f64 c 7) (pow.f64 d 8)) a)) (-.f64 (/.f64 (.f64 c a) (.f64 d d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)))
(+.f64 (.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))) (*.f64 a (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 7) (pow.f64 d 8)))))
(.f64 a (+.f64 (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 7) (pow.f64 d 8)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d)))))
(-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)))
(-.f64 (/.f64 a c) (/.f64 d (/.f64 (pow.f64 c 3) (*.f64 a d))))
(-.f64 (/.f64 a c) (.f64 a (/.f64 (.f64 d d) (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) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4)))))
(+.f64 (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (*.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4)))
(fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (-.f64 (/.f64 a c) (/.f64 d (/.f64 (pow.f64 c 3) (*.f64 a d)))))
(+.f64 (/.f64 a c) (.f64 a (-.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 (.f64 d d) (pow.f64 c 3)))))
(+.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 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (+.f64 (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4))) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 7) (pow.f64 d 6)))))))
(+.f64 (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (-.f64 (.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4)) (.f64 (/.f64 a (pow.f64 c 7)) (pow.f64 d 6))))
(-.f64 (fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (-.f64 (/.f64 a c) (/.f64 d (/.f64 (pow.f64 c 3) (.f64 a d))))) (.f64 (pow.f64 d 6) (/.f64 a (pow.f64 c 7))))
(-.f64 (fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (/.f64 a c)) (.f64 a (+.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) (/.f64 (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) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d)))))
(-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)))
(-.f64 (/.f64 a c) (/.f64 d (/.f64 (pow.f64 c 3) (*.f64 a d))))
(-.f64 (/.f64 a c) (.f64 a (/.f64 (.f64 d d) (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) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4)))))
(+.f64 (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (*.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4)))
(fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (-.f64 (/.f64 a c) (/.f64 d (/.f64 (pow.f64 c 3) (*.f64 a d)))))
(+.f64 (/.f64 a c) (.f64 a (-.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 (.f64 d d) (pow.f64 c 3)))))
(+.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 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (+.f64 (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4))) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 7) (pow.f64 d 6)))))))
(+.f64 (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (-.f64 (.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4)) (.f64 (/.f64 a (pow.f64 c 7)) (pow.f64 d 6))))
(-.f64 (fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (-.f64 (/.f64 a c) (/.f64 d (/.f64 (pow.f64 c 3) (.f64 a d))))) (.f64 (pow.f64 d 6) (/.f64 a (pow.f64 c 7))))
(-.f64 (fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (/.f64 a c)) (.f64 a (+.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) (/.f64 (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) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d)))))
(-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)))
(-.f64 (/.f64 a c) (/.f64 d (/.f64 (pow.f64 c 3) (*.f64 a d))))
(-.f64 (/.f64 a c) (.f64 a (/.f64 (.f64 d d) (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) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4)))))
(+.f64 (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (*.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4)))
(fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (-.f64 (/.f64 a c) (/.f64 d (/.f64 (pow.f64 c 3) (*.f64 a d)))))
(+.f64 (/.f64 a c) (.f64 a (-.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 (.f64 d d) (pow.f64 c 3)))))
(+.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 a c) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (+.f64 (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4))) (neg.f64 (/.f64 a (/.f64 (pow.f64 c 7) (pow.f64 d 6)))))))
(+.f64 (-.f64 (/.f64 a c) (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (-.f64 (.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4)) (.f64 (/.f64 a (pow.f64 c 7)) (pow.f64 d 6))))
(-.f64 (fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (-.f64 (/.f64 a c) (/.f64 d (/.f64 (pow.f64 c 3) (.f64 a d))))) (.f64 (pow.f64 d 6) (/.f64 a (pow.f64 c 7))))
(-.f64 (fma.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4) (/.f64 a c)) (.f64 a (+.f64 (/.f64 (.f64 d d) (pow.f64 c 3)) (/.f64 (pow.f64 d 6) (pow.f64 c 7)))))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (/.f64 (.f64 c a) (*.f64 d d)))
(-.f64 (/.f64 (.f64 c a) (.f64 d d)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a))
(.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 (.f64 a (pow.f64 c 5)) (pow.f64 d 6))))
(+.f64 (-.f64 (/.f64 (.f64 c a) (.f64 d d)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)) (/.f64 a (/.f64 (pow.f64 d 6) (pow.f64 c 5))))
(fma.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a (.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))))
(.f64 a (-.f64 (+.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 c (.f64 d d))) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (+.f64 (/.f64 (.f64 a (pow.f64 c 5)) (pow.f64 d 6)) (fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 7)) (pow.f64 d 8)) (/.f64 (.f64 c a) (*.f64 d d)))))
(+.f64 (-.f64 (/.f64 a (/.f64 (pow.f64 d 6) (pow.f64 c 5))) (.f64 (/.f64 (pow.f64 c 7) (pow.f64 d 8)) a)) (-.f64 (/.f64 (.f64 c a) (.f64 d d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)))
(+.f64 (.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))) (*.f64 a (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 7) (pow.f64 d 8)))))
(.f64 a (+.f64 (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 7) (pow.f64 d 8)))))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 (.f64 c a) (.f64 d d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (/.f64 (.f64 c a) (*.f64 d d)))
(-.f64 (/.f64 (.f64 c a) (.f64 d d)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a))
(.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (/.f64 (.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (+.f64 (/.f64 (.f64 c a) (.f64 d d)) (/.f64 (.f64 a (pow.f64 c 5)) (pow.f64 d 6))))
(+.f64 (-.f64 (/.f64 (.f64 c a) (.f64 d d)) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)) (/.f64 a (/.f64 (pow.f64 d 6) (pow.f64 c 5))))
(fma.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) a (.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))))
(.f64 a (-.f64 (+.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 c (.f64 d d))) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (/.f64 (.f64 (pow.f64 c 5) a) (pow.f64 d 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 7) a) (pow.f64 d 8))) (/.f64 (.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 3)) (pow.f64 d 4)) (+.f64 (/.f64 (.f64 a (pow.f64 c 5)) (pow.f64 d 6)) (fma.f64 -1 (/.f64 (.f64 a (pow.f64 c 7)) (pow.f64 d 8)) (/.f64 (.f64 c a) (*.f64 d d)))))
(+.f64 (-.f64 (/.f64 a (/.f64 (pow.f64 d 6) (pow.f64 c 5))) (.f64 (/.f64 (pow.f64 c 7) (pow.f64 d 8)) a)) (-.f64 (/.f64 (.f64 c a) (.f64 d d)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) a)))
(+.f64 (.f64 a (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))) (*.f64 a (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 7) (pow.f64 d 8)))))
(.f64 a (+.f64 (-.f64 (/.f64 c (.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (-.f64 (/.f64 (pow.f64 c 5) (pow.f64 d 6)) (/.f64 (pow.f64 c 7) (pow.f64 d 8)))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (.f64 c a) (+.f64 (.f64 d d) (*.f64 c c)))
(.f64 (/.f64 c (fma.f64 c c (.f64 d d))) a)
(.f64 a (/.f64 c (fma.f64 c c (.f64 d d))))
(.f64 c (/.f64 a (fma.f64 c c (.f64 d d))))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(/.f64 (pow.f64 d 2) a)
(/.f64 (*.f64 d d) a)
(/.f64 d (/.f64 a d))
(*.f64 (/.f64 d a) d)
(*.f64 d (/.f64 d a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(/.f64 (pow.f64 d 2) a)
(/.f64 (*.f64 d d) a)
(/.f64 d (/.f64 a d))
(*.f64 (/.f64 d a) d)
(*.f64 d (/.f64 d a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(/.f64 (pow.f64 d 2) a)
(/.f64 (*.f64 d d) a)
(/.f64 d (/.f64 a d))
(*.f64 (/.f64 d a) d)
(*.f64 d (/.f64 d a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(+.f64 (/.f64 (pow.f64 c 2) a) (/.f64 (pow.f64 d 2) a))
(+.f64 (/.f64 (.f64 c c) a) (/.f64 (.f64 d d) a))
(+.f64 (/.f64 c (/.f64 a c)) (/.f64 d (/.f64 a d)))
(+.f64 (.f64 (/.f64 c a) c) (.f64 (/.f64 d a) d))
(+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
(/.f64 (fma.f64 c c (*.f64 d d)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
(/.f64 (fma.f64 c c (*.f64 d d)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
(/.f64 (fma.f64 c c (*.f64 d d)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
(/.f64 (fma.f64 c c (*.f64 d d)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
(/.f64 (fma.f64 c c (*.f64 d d)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
(/.f64 (fma.f64 c c (*.f64 d d)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
(/.f64 (fma.f64 c c (*.f64 d d)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
(/.f64 (fma.f64 c c (*.f64 d d)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
(/.f64 (fma.f64 c c (*.f64 d d)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
(/.f64 (fma.f64 c c (*.f64 d d)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
(/.f64 (fma.f64 c c (*.f64 d d)) a)
(/.f64 (+.f64 (pow.f64 d 2) (pow.f64 c 2)) a)
(/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)
(/.f64 (fma.f64 c c (*.f64 d d)) a)

eval264.0ms (1.4%)

Compiler: Compiled 14865 to 4553 computations (69.4% saved)

prune188.0ms (1%)

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	715	18	733
Fresh	9	5	14
Picked	1	0	1
Done	3	3	6
Total	728	26	754

Error

Counts

754 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	31.0b	(+.f64 (/.f64 a c) (.f64 (/.f64 (/.f64 d c) 1) (/.f64 (-.f64 b (.f64 (/.f64 a c) d)) c)))
	44.3b	(*.f64 d (/.f64 1 (/.f64 d (/.f64 b d))))
	34.0b	(/.f64 c (+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a))))
	46.1b	(-.f64 (+.f64 1 (/.f64 b d)) 1)
	39.3b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
▶	42.1b	(/.f64 c (*.f64 c (/.f64 c a)))
	43.9b	(/.f64 (+.f64 (/.f64 c (-.f64 b (.f64 (/.f64 a c) d))) (.f64 (/.f64 c a) (/.f64 d c))) (.f64 (/.f64 c a) (/.f64 c (-.f64 b (.f64 (/.f64 a c) d)))))
▶	30.0b	(+.f64 (/.f64 a c) (/.f64 (*.f64 b (/.f64 d c)) c))
	30.3b	(.f64 (/.f64 1 c) (+.f64 a (.f64 (/.f64 d c) (-.f64 b (*.f64 (/.f64 a c) d)))))
	31.5b	(+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 d b) c) c))
▶	33.9b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
✓	41.1b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	52.6b	(*.f64 c (/.f64 (/.f64 a d) d))
	44.6b	(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (hypot.f64 c d))
	30.6b	(+.f64 (/.f64 a c) (/.f64 (/.f64 d (/.f64 c (-.f64 b (*.f64 (/.f64 a c) d)))) c))
✓	36.0b	(/.f64 a c)
	45.4b	(/.f64 (-.f64 (.f64 1/2 (fma.f64 (pow.f64 (/.f64 c d) 3) a (.f64 b (*.f64 (/.f64 c d) (/.f64 c d))))) (fma.f64 (/.f64 c d) a b)) (hypot.f64 c d))
	48.6b	(.f64 (/.f64 d (.f64 d d)) b)
	46.1b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (.f64 -1 b) (.f64 -1 (/.f64 (.f64 c a) d))))
▶	40.2b	(*.f64 b (/.f64 1 d))
	53.0b	(/.f64 (.f64 d b) (.f64 c c))
	52.7b	(/.f64 c (*.f64 d (/.f64 d a)))
	53.1b	(.f64 b (/.f64 d (.f64 c c)))
	46.0b	(/.f64 (+.f64 (.f64 -1 b) (.f64 -1 (/.f64 (*.f64 c a) d))) (hypot.f64 c d))
✓	40.1b	(/.f64 b d)
▶	37.0b	(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))

Compiler

Compiled 799 to 477 computations (40.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	1.3b	(/.f64 (*.f64 b (/.f64 d c)) c)
✓	2.8b	(+.f64 (/.f64 a c) (/.f64 (*.f64 b (/.f64 d c)) c))
✓	4.6b	(*.f64 b (/.f64 d c))

Compiler

Compiled 37 to 9 computations (75.7% saved)

series14.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`log-prod_binary64`
454×	`fma-def_binary64`
328×	`pow2_binary64`
286×	`log-div_binary64`
256×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	229	33
2	3771	31

Stop Event

1×	node limit

Counts

3 → 187

Calls

Call 1

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

Outputs

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(log.f64 (*.f64 (/.f64 b c) (/.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 b c) (/.f64 d c))) 1))))))

simplify143.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1018×	`associate-/r/_binary64`
870×	`*-commutative_binary64`
612×	`times-frac_binary64`
592×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	1272
1	23	1272
2	43	1200
3	91	1200
4	239	1200
5	881	1200
6	3973	1200
7	4868	1200
8	5078	1200
9	5297	1200
10	5525	1200
11	5860	1200
12	7372	1200

Stop Event

1×	node limit

Counts

307 → 194

Calls

Call 1

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

Outputs
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) c)
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 b (/.f64 c d))
(*.f64 d (/.f64 b c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 d (/.f64 (*.f64 c c) b)) (/.f64 a c))
(+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 d (/.f64 (*.f64 c c) b)) (/.f64 a c))
(+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 d (/.f64 (*.f64 c c) b)) (/.f64 a c))
(+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 d (/.f64 (*.f64 c c) b)) (/.f64 a c))
(+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 d (/.f64 (*.f64 c c) b)) (/.f64 a c))
(+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 d (/.f64 (*.f64 c c) b)) (/.f64 a c))
(+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 d (/.f64 (*.f64 c c) b)) (/.f64 a c))
(+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 d (/.f64 (*.f64 c c) b)) (/.f64 a c))
(+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 d (/.f64 (*.f64 c c) b)) (/.f64 a c))
(+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 d (/.f64 (*.f64 c c) b)) (/.f64 a c))
(+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 d (/.f64 (*.f64 c c) b)) (/.f64 a c))
(+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 d (/.f64 (*.f64 c c) b)) (/.f64 a c))
(+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 d (/.f64 (*.f64 c c) b)) (/.f64 a c))
(+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 d (/.f64 (*.f64 c c) b)) (/.f64 a c))
(+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
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(+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
(+.f64 (/.f64 d (/.f64 (*.f64 c c) b)) (/.f64 a c))
(+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
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(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
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(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
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(/.f64 a c)
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(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
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(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
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(+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 b (/.f64 (/.f64 d c) c))
(/.f64 b (*.f64 c (/.f64 c d)))
(.f64 d (/.f64 b (.f64 c c)))
(*.f64 d (/.f64 (/.f64 b c) c))
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(+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 (/.f64 b c) c) (/.f64 a c))
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (pow.f64 c 2)))
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(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
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localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite45.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

537×	`pow1_binary64`
514×	`add-sqr-sqrt_binary64`
495×	`add-log-exp_binary64`
495×	`log1p-expm1-u_binary64`
495×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	120	4
2	1424	4

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	96

Stop Event

1×

saturated

Counts

45 → 21

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 c (/.f64 c a))
✓	13.0b	(/.f64 c (*.f64 c (/.f64 c a)))

Compiler

Compiled 21 to 7 computations (66.7% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite57.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

746×	`pow1_binary64`
693×	`add-log-exp_binary64`
693×	`log1p-expm1-u_binary64`
693×	`expm1-log1p-u_binary64`
676×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	132	11
2	1982	11

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

simplify118.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

759×	`sqr-pow_binary64`
434×	`unswap-sqr_binary64`
423×	`associate-*r/_binary64`
417×	`*-commutative_binary64`
392×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	264
1	12	264
2	20	264
3	37	264
4	83	264
5	262	264
6	1085	264
7	3465	264
8	4267	264
9	4452	264
10	4668	264
11	5017	264
12	5445	264
13	5924	264
14	6575	264
15	7266	264

Stop Event

1×	node limit

Counts

119 → 74

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 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)
(/.f64 (pow.f64 c 2) a)

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 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))
(/.f64 (pow.f64 c 2) a)
(/.f64 (*.f64 c c) a)
(/.f64 c (/.f64 a c))
(*.f64 (/.f64 c a) c)
(*.f64 c (/.f64 c a))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.1b	(+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))
✓	2.4b	(*.f64 (/.f64 c d) (/.f64 a d))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series11.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite89.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`log-prod_binary64`
364×	`fma-def_binary64`
318×	`pow2_binary64`
251×	`log-div_binary64`
229×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	227	24
2	3639	24

Stop Event

1×	node limit

Counts

2 → 146

Calls

Call 1

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

Outputs

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

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

simplify135.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

936×	`associate-/r/_binary64`
851×	`*-commutative_binary64`
624×	`times-frac_binary64`
533×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	1020
1	20	1020
2	38	948
3	84	948
4	226	948
5	836	948
6	3878	948
7	4779	948
8	4989	948
9	5209	948
10	5437	948
11	5774	948
12	7224	948

Stop Event

1×	node limit

Counts

230 → 151

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)))

Outputs
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
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(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
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(/.f64 (*.f64 c a) (pow.f64 d 2))
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(.f64 a (/.f64 c (.f64 d d)))
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(.f64 a (/.f64 c (.f64 d d)))
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(/.f64 (*.f64 c a) (pow.f64 d 2))
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(*.f64 (/.f64 c d) (/.f64 a d))
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(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
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(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 b d)
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(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
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(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
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(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 b d)
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(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
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(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
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(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
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(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/.f64 (*.f64 c a) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) a))
(*.f64 (/.f64 c d) (/.f64 a d))
(.f64 a (/.f64 c (.f64 d d)))
(.f64 c (/.f64 a (.f64 d d)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d 2)))
(+.f64 (/.f64 c (/.f64 (*.f64 d d) a)) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.8b	(/.f64 (*.f64 b c) d)
✓	4.5b	(/.f64 c (*.f64 d d))
✓	4.8b	(.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a))
✓	6.8b	(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))

Compiler

Compiled 64 to 12 computations (81.3% saved)

series22.0ms (0.1%)

Counts

4 → 156

Calls

39 calls:

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

rewrite150.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

915×	`log-prod_binary64`
519×	`fma-def_binary64`
321×	`log-div_binary64`
296×	`fma-neg_binary64`
287×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	58
1	304	58
2	4922	58

Stop Event

1×	node limit

Counts

4 → 256

Calls

Call 1

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

Outputs
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simplify101.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

935×	`fma-def_binary64`
639×	`associate-/l*_binary64`
385×	`fma-neg_binary64`
379×	`associate-/r*_binary64`
370×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	2646
1	98	2607
2	235	2601
3	985	2247
4	5112	2187

Stop Event

1×	node limit

Counts

412 → 284

Calls

Call 1

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

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

eval180.0ms (0.9%)

Compiler: Compiled 14632 to 4423 computations (69.8% saved)

prune164.0ms (0.8%)

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	714	10	724
Fresh	8	10	18
Picked	1	0	1
Done	1	6	7
Total	724	26	750

Error

Counts

750 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	34.0b	(/.f64 c (+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a))))
	46.1b	(-.f64 (+.f64 1 (/.f64 b d)) 1)
	39.3b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
✓	42.1b	(/.f64 c (*.f64 c (/.f64 c a)))
	51.6b	(*.f64 d (/.f64 (/.f64 b c) c))
	33.9b	(+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c)))
	36.1b	(*.f64 (/.f64 1 c) a)
✓	41.1b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	52.6b	(*.f64 c (/.f64 (/.f64 a d) d))
	53.1b	(.f64 b (/.f64 d (.f64 c c)))
	34.9b	(+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d)))
	44.6b	(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (hypot.f64 c d))
	47.8b	(/.f64 c (/.f64 1 (/.f64 a (*.f64 c c))))
	51.4b	(*.f64 (/.f64 c d) (/.f64 a d))
✓	40.1b	(/.f64 b d)
✓	36.0b	(/.f64 a c)
	33.5b	(+.f64 (/.f64 b d) (/.f64 (*.f64 (/.f64 c d) (neg.f64 a)) (neg.f64 d)))
	45.4b	(/.f64 (-.f64 (.f64 1/2 (fma.f64 (pow.f64 (/.f64 c d) 3) a (.f64 b (*.f64 (/.f64 c d) (/.f64 c d))))) (fma.f64 (/.f64 c d) a b)) (hypot.f64 c d))
	53.1b	(/.f64 (+.f64 c (.f64 (.f64 (/.f64 c d) (/.f64 c b)) a)) (.f64 (.f64 (/.f64 c d) (/.f64 c b)) c))
	53.0b	(/.f64 (.f64 d b) (.f64 c c))
	52.7b	(/.f64 c (*.f64 d (/.f64 d a)))
	44.3b	(*.f64 d (/.f64 1 (/.f64 d (/.f64 b d))))
	40.4b	(/.f64 1 (/.f64 d b))
✓	30.0b	(+.f64 (/.f64 a c) (/.f64 (*.f64 b (/.f64 d c)) c))
	31.6b	(.f64 (/.f64 1 c) (+.f64 a (/.f64 (.f64 b d) c)))
✓	40.2b	(*.f64 b (/.f64 1 d))

Compiler

Compiled 352 to 219 computations (37.8% saved)

regimes733.0ms (3.8%)

Counts

61 → 8

Calls

Call 1

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

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

Calls

5 calls:

250.0ms	d
188.0ms	c
141.0ms	a
91.0ms	b
44.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
14.7b	3	`a`
16.2b	2	`b`
7.7b	5	`c`
6.6b	8	`d`
9.5b	2	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 809 to 239 computations (70.5% saved)

bsearch165.0ms (0.9%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
23.0ms	1.6166223276898808e+114	1.6373754197826782e+115
15.0ms	1.5749987822949914e-135	8.864751814886235e-134
13.0ms	-2.6698578733723106e-121	-7.436102550824593e-122
24.0ms	-90.43388479818566	-3.659633369595687
28.0ms	-5.174344703148754e+29	-2.8251603946982126e+26
38.0ms	-7.577584446069664e+94	-1.5481288520400153e+85
23.0ms	-3.185189906959867e+122	-9.922576381642416e+120

Compiler

Compiled 96 to 57 computations (40.6% saved)

regimes634.0ms (3.3%)

Counts

58 → 5

Calls

Call 1

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

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

Calls

5 calls:

182.0ms	d
152.0ms	a
141.0ms	c
90.0ms	b
51.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
14.7b	3	`a`
16.2b	2	`b`
7.7b	5	`c`
7.7b	5	`d`
9.5b	2	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 724 to 215 computations (70.3% saved)

bsearch118.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
29.0ms	1.6166223276898808e+114	1.6373754197826782e+115
17.0ms	1.5749987822949914e-135	8.864751814886235e-134
25.0ms	-2.6698578733723106e-121	-7.436102550824593e-122
46.0ms	-3.184186209212187e+106	-2.625473407864317e+105

Compiler

Compiled 96 to 57 computations (40.6% saved)

regimes1.4s (7%)

Counts

54 → 6

Calls

Call 1

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

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

Calls

5 calls:

586.0ms	b
270.0ms	c
240.0ms	d
152.0ms	a
89.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
20.5b	4	`a`
18.1b	12	`b`
9.4b	5	`c`
9.0b	6	`d`
15.6b	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 658 to 201 computations (69.5% saved)

bsearch186.0ms (1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
35.0ms	1.6166223276898808e+114	1.6373754197826782e+115
16.0ms	1.2610567379638339e-108	5.216286119369364e-101
26.0ms	-1.11247770032971e-67	-9.468708176984552e-77
74.0ms	-7.577584446069664e+94	-1.5481288520400153e+85
35.0ms	-3.185189906959867e+122	-9.922576381642416e+120

Compiler

Compiled 60 to 37 computations (38.3% saved)

regimes1.4s (7.5%)

Counts

52 → 6

Calls

Call 1

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

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

Calls

5 calls:

524.0ms	b
275.0ms	d
210.0ms	c
206.0ms	a
175.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
20.5b	4	`a`
18.1b	12	`b`
9.4b	5	`c`
9.0b	6	`d`
15.6b	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 616 to 189 computations (69.3% saved)

bsearch143.0ms (0.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
40.0ms	1.6166223276898808e+114	1.6373754197826782e+115
17.0ms	1.2610567379638339e-108	5.216286119369364e-101
25.0ms	-1.11247770032971e-67	-9.468708176984552e-77
34.0ms	-7.577584446069664e+94	-1.5481288520400153e+85
27.0ms	-3.185189906959867e+122	-9.922576381642416e+120

Compiler

Compiled 62 to 39 computations (37.1% saved)

regimes1.0s (5.3%)

Counts

31 → 9

Calls

Call 1

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

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

Calls

4 calls:

341.0ms	a
299.0ms	b
217.0ms	c
161.0ms	d

Results

Error	Segments	Branch
21.2b	8	`a`
19.3b	9	`b`
10.1b	9	`c`
11.0b	9	`d`

Compiler

Compiled 279 to 100 computations (64.2% saved)

bsearch581.0ms (3%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
24.0ms	3.1551020739359037e+80	2.485836007528356e+87
24.0ms	1.3331030262292513e+37	1.6948717243704625e+57
217.0ms	2.821178075742817e-63	3.357694364716386e-61
25.0ms	-8.370943940408767e-65	-7.709544405826183e-81
131.0ms	-189435.4630368468	-61.72174567260812
74.0ms	-4.0336545901129105e+32	-5.832983390745317e+31
61.0ms	-4.5820428189916415e+57	-2.0128555637812147e+55
25.0ms	-3.024851164729794e+118	-1.4422035939983763e+116

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes820.0ms (4.2%)

Counts

30 → 9

Calls

Call 1

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

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

Calls

4 calls:

229.0ms	a
191.0ms	d
187.0ms	b
173.0ms	c

Results

Error	Segments	Branch
20.8b	11	`a`
20.9b	9	`b`
11.3b	7	`c`
11.0b	9	`d`

Compiler

Compiled 266 to 98 computations (63.2% saved)

bsearch411.0ms (2.1%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
25.0ms	5.7761498226557776e+26	2.2132238272482505e+29
128.0ms	2.1331976565155514e-6	4.416122823150749e-6
57.0ms	1.3745397382678178e-63	1.354130852041213e-46
55.0ms	-3.445044566550207e-38	-9.175752872653806e-39
52.0ms	-0.22406358666434653	-2.8931546784350085e-5
26.0ms	-5.174344703148754e+29	-2.8251603946982126e+26
27.0ms	-7.577584446069664e+94	-1.5481288520400153e+85
41.0ms	-3.185189906959867e+122	-9.922576381642416e+120

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes1.0s (5.2%)

Counts

29 → 9

Calls

Call 1

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

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

Calls

4 calls:

518.0ms	d
186.0ms	b
177.0ms	c
121.0ms	a

Results

Error	Segments	Branch
21.9b	9	`a`
20.9b	9	`b`
11.7b	7	`c`
11.1b	9	`d`

Compiler

Compiled 253 to 93 computations (63.2% saved)

bsearch328.0ms (1.7%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
25.0ms	5.7761498226557776e+26	2.2132238272482505e+29
24.0ms	2.1331976565155514e-6	4.416122823150749e-6
126.0ms	1.3745397382678178e-63	1.354130852041213e-46
25.0ms	-3.445044566550207e-38	-9.175752872653806e-39
55.0ms	-0.22406358666434653	-2.8931546784350085e-5
24.0ms	-5.174344703148754e+29	-2.8251603946982126e+26
24.0ms	-7.577584446069664e+94	-1.5481288520400153e+85
24.0ms	-3.185189906959867e+122	-9.922576381642416e+120

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes945.0ms (4.9%)

Counts

24 → 9

Calls

Call 1

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

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

Calls

4 calls:

426.0ms	d
232.0ms	a
185.0ms	b
81.0ms	c

Results

Error	Segments	Branch
21.1b	13	`a`
22.0b	9	`b`
13.3b	5	`c`
11.1b	9	`d`

Compiler

Compiled 198 to 84 computations (57.6% saved)

bsearch217.0ms (1.1%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
26.0ms	5.7761498226557776e+26	2.2132238272482505e+29
26.0ms	2.1331976565155514e-6	4.416122823150749e-6
25.0ms	1.3745397382678178e-63	1.354130852041213e-46
26.0ms	-3.445044566550207e-38	-9.175752872653806e-39
29.0ms	-0.22406358666434653	-2.8931546784350085e-5
26.0ms	-5.174344703148754e+29	-2.8251603946982126e+26
27.0ms	-7.577584446069664e+94	-1.5481288520400153e+85
32.0ms	-3.185189906959867e+122	-9.922576381642416e+120

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes581.0ms (3%)

Counts

22 → 9

Calls

Call 1

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

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

Calls

4 calls:

232.0ms	d
159.0ms	a
110.0ms	b
73.0ms	c

Results

Error	Segments	Branch
21.9b	13	`a`
23.1b	9	`b`
13.6b	6	`c`
11.4b	9	`d`

Compiler

Compiled 176 to 78 computations (55.7% saved)

bsearch203.0ms (1.1%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
24.0ms	5.7761498226557776e+26	2.2132238272482505e+29
24.0ms	2.1331976565155514e-6	4.416122823150749e-6
26.0ms	1.3745397382678178e-63	1.354130852041213e-46
26.0ms	-3.445044566550207e-38	-9.175752872653806e-39
27.0ms	-0.22406358666434653	-2.8931546784350085e-5
25.0ms	-5.174344703148754e+29	-2.8251603946982126e+26
25.0ms	-7.577584446069664e+94	-1.5481288520400153e+85
25.0ms	-3.185189906959867e+122	-9.922576381642416e+120

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes341.0ms (1.8%)

Counts

21 → 7

Calls

Call 1

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

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

Calls

4 calls:

110.0ms	b
109.0ms	a
76.0ms	d
39.0ms	c

Results

Error	Segments	Branch
25.9b	11	`a`
24.1b	11	`b`
18.1b	3	`c`
16.4b	7	`d`

Compiler

Compiled 165 to 72 computations (56.4% saved)

bsearch162.0ms (0.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
23.0ms	1.3745397382678178e-63	1.354130852041213e-46
24.0ms	-1.11247770032971e-67	-9.468708176984552e-77
23.0ms	-0.22406358666434653	-2.8931546784350085e-5
23.0ms	-5.174344703148754e+29	-2.8251603946982126e+26
25.0ms	-7.577584446069664e+94	-1.5481288520400153e+85
43.0ms	-3.185189906959867e+122	-9.922576381642416e+120

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes315.0ms (1.6%)

Counts

20 → 7

Calls

Call 1

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

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

Calls

4 calls:

110.0ms	b
98.0ms	a
65.0ms	d
38.0ms	c

Results

Error	Segments	Branch
26.0b	11	`a`
24.1b	11	`b`
18.1b	3	`c`
16.7b	7	`d`

Compiler

Compiled 154 to 69 computations (55.2% saved)

bsearch142.0ms (0.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
23.0ms	1.3745397382678178e-63	1.354130852041213e-46
25.0ms	-3.445044566550207e-38	-9.175752872653806e-39
25.0ms	-0.22406358666434653	-2.8931546784350085e-5
23.0ms	-5.174344703148754e+29	-2.8251603946982126e+26
23.0ms	-7.577584446069664e+94	-1.5481288520400153e+85
23.0ms	-3.185189906959867e+122	-9.922576381642416e+120

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes228.0ms (1.2%)

Accuracy

Total -40.4b remaining (-181.2%)

Threshold costs -40.4b (-181.2%)

Counts

19 → 5

Calls

Call 1

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

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

Calls

4 calls:

73.0ms	a
70.0ms	b
54.0ms	d
27.0ms	c

Results

Error	Segments	Branch
28.6b	8	`a`
26.5b	7	`b`
22.7b	3	`c`
22.3b	5	`d`

Compiler

Compiled 143 to 66 computations (53.8% saved)

bsearch94.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	1.3745397382678178e-63	1.354130852041213e-46
24.0ms	-3.445044566550207e-38	-9.175752872653806e-39
24.0ms	-0.22406358666434653	-2.8931546784350085e-5
23.0ms	-3.185189906959867e+122	-9.922576381642416e+120

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify64.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
18×	`+-commutative_binary64`
9×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	1781
1	210	1781
2	227	1777
3	242	1777
4	250	1777
5	254	1777
6	255	1777

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 d -318518990695986717178808339033634088358327873622515412320123983445406621395213659887755885471939777061468266532105005039616) (/.f64 (-.f64 (.f64 1/2 (fma.f64 (pow.f64 (/.f64 c d) 3) a (.f64 b (.f64 (/.f64 c d) (/.f64 c d))))) (fma.f64 (/.f64 c d) a b)) (hypot.f64 c d)) (if (<=.f64 d -75775844460696643125740271015190618284603218217942549579571726386002017057958879033858294022144) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 d -517434470314875378941896425472) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 d -795464863044483/8796093022208) (/.f64 c (+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))) (if (<=.f64 d -1162941958872971/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 d 8183476519740355/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 d 1616622327689880787759014129767085360169443055383333856136288832257082548898904340740526488189368964298779142389760) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))))))))))
(if (<=.f64 d -31841862092121868401860144718558270100781194040566672209405271934106133655678058903877464259781861295783936) (/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (hypot.f64 c d)) (if (<=.f64 d -1162941958872971/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 d 8183476519740355/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 d 1616622327689880787759014129767085360169443055383333856136288832257082548898904340740526488189368964298779142389760) (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c)))))))
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(if (<=.f64 d -318518990695986717178808339033634088358327873622515412320123983445406621395213659887755885471939777061468266532105005039616) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 d -75775844460696643125740271015190618284603218217942549579571726386002017057958879033858294022144) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 d -6753674442891701/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 5164499756173817/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 d 1616622327689880787759014129767085360169443055383333856136288832257082548898904340740526488189368964298779142389760) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (*.f64 d d))) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))))))))
(if (<=.f64 c -30248511647297941953154102565534773041918577018004188883360530815705976338866533182744044459729958379634880526539554816) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 c -4582042818991641484763681404152962639114639269258858594304) (/.f64 c (+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))) (if (<=.f64 c -403365459011291054902596832591872) (.f64 (/.f64 1 c) (+.f64 a (/.f64 (.f64 b d) c))) (if (<=.f64 c -6508952947566991/34359738368) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 c -2481380064635861/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 c 1306680414003089/463168356949264781694283940034751631413079938662562256157830336031652518559744) (+.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) (neg.f64 a)) (neg.f64 d))) (if (<=.f64 c 13331030262292513261788086781716987904) (/.f64 c (+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))) (if (<=.f64 c 315510207393590370262513158893414849692868033915357402655141343438788919730110464) (+.f64 (/.f64 b d) (/.f64 a (.f64 (/.f64 d c) d))) (+.f64 (/.f64 a c) (/.f64 (*.f64 b (/.f64 d c)) c))))))))))
(if (<=.f64 d -318518990695986717178808339033634088358327873622515412320123983445406621395213659887755885471939777061468266532105005039616) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 d -75775844460696643125740271015190618284603218217942549579571726386002017057958879033858294022144) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 d -517434470314875378941896425472) (+.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) (neg.f64 a)) (neg.f64 d))) (if (<=.f64 d -4133243639434640896/18446744073709551616) (/.f64 a c) (if (<=.f64 d -824924286925383/23945242826029513411849172299223580994042798784118784) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 d 5093146497079821/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 d 5036870557232557/2361183241434822606848) (+.f64 (/.f64 b d) (/.f64 a (.f64 (/.f64 d c) d))) (if (<=.f64 d 577614982265577756856156160) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))))))))))
(if (<=.f64 d -318518990695986717178808339033634088358327873622515412320123983445406621395213659887755885471939777061468266532105005039616) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 d -75775844460696643125740271015190618284603218217942549579571726386002017057958879033858294022144) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 d -517434470314875378941896425472) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 d -4133243639434640896/18446744073709551616) (/.f64 a c) (if (<=.f64 d -824924286925383/23945242826029513411849172299223580994042798784118784) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 d 5093146497079821/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 d 5036870557232557/2361183241434822606848) (+.f64 (/.f64 b d) (/.f64 a (.f64 (/.f64 d c) d))) (if (<=.f64 d 577614982265577756856156160) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d)))))))))))
(if (<=.f64 d -318518990695986717178808339033634088358327873622515412320123983445406621395213659887755885471939777061468266532105005039616) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 d -75775844460696643125740271015190618284603218217942549579571726386002017057958879033858294022144) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 d -517434470314875378941896425472) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 d -4133243639434640896/18446744073709551616) (/.f64 a c) (if (<=.f64 d -824924286925383/23945242826029513411849172299223580994042798784118784) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 d 5093146497079821/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 d 5036870557232557/2361183241434822606848) (+.f64 (/.f64 b d) (/.f64 a (.f64 (/.f64 d c) d))) (if (<=.f64 d 577614982265577756856156160) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c)))))))))))
(if (<=.f64 d -318518990695986717178808339033634088358327873622515412320123983445406621395213659887755885471939777061468266532105005039616) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 d -75775844460696643125740271015190618284603218217942549579571726386002017057958879033858294022144) (/.f64 a c) (if (<=.f64 d -517434470314875378941896425472) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 d -4133243639434640896/18446744073709551616) (/.f64 a c) (if (<=.f64 d -824924286925383/23945242826029513411849172299223580994042798784118784) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 d 5093146497079821/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (.f64 (/.f64 1 c) (+.f64 a (/.f64 (.f64 b d) c))) (if (<=.f64 d 5036870557232557/2361183241434822606848) (+.f64 (/.f64 b d) (/.f64 a (.f64 (/.f64 d c) d))) (if (<=.f64 d 577614982265577756856156160) (.f64 (/.f64 1 c) (+.f64 a (/.f64 (*.f64 b d) c))) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c)))))))))))
(if (<=.f64 d -318518990695986717178808339033634088358327873622515412320123983445406621395213659887755885471939777061468266532105005039616) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 d -75775844460696643125740271015190618284603218217942549579571726386002017057958879033858294022144) (/.f64 a c) (if (<=.f64 d -517434470314875378941896425472) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 d -4133243639434640896/18446744073709551616) (/.f64 a c) (if (<=.f64 d -6753674442891701/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d))) (if (<=.f64 d 5093146497079821/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.f64 a c) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c)))))))))
(if (<=.f64 d -318518990695986717178808339033634088358327873622515412320123983445406621395213659887755885471939777061468266532105005039616) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 d -75775844460696643125740271015190618284603218217942549579571726386002017057958879033858294022144) (/.f64 a c) (if (<=.f64 d -517434470314875378941896425472) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 d -4133243639434640896/18446744073709551616) (/.f64 a c) (if (<=.f64 d -824924286925383/23945242826029513411849172299223580994042798784118784) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 d 5093146497079821/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.f64 a c) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c)))))))))
(if (<=.f64 d -318518990695986717178808339033634088358327873622515412320123983445406621395213659887755885471939777061468266532105005039616) (/.f64 b d) (if (<=.f64 d -4133243639434640896/18446744073709551616) (/.f64 a c) (if (<=.f64 d -824924286925383/23945242826029513411849172299223580994042798784118784) (/.f64 b d) (if (<=.f64 d 5093146497079821/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.f64 a c) (/.f64 b d)))))
(/.f64 b d)

Outputs
(if (<=.f64 d -318518990695986717178808339033634088358327873622515412320123983445406621395213659887755885471939777061468266532105005039616) (/.f64 (-.f64 (.f64 1/2 (fma.f64 (pow.f64 (/.f64 c d) 3) a (.f64 b (.f64 (/.f64 c d) (/.f64 c d))))) (fma.f64 (/.f64 c d) a b)) (hypot.f64 c d)) (if (<=.f64 d -75775844460696643125740271015190618284603218217942549579571726386002017057958879033858294022144) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 d -517434470314875378941896425472) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 d -795464863044483/8796093022208) (/.f64 c (+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))) (if (<=.f64 d -1162941958872971/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 d 8183476519740355/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 d 1616622327689880787759014129767085360169443055383333856136288832257082548898904340740526488189368964298779142389760) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))))))))))
(if (<=.f64 d -318518990695986717178808339033634088358327873622515412320123983445406621395213659887755885471939777061468266532105005039616) (/.f64 (-.f64 (.f64 1/2 (fma.f64 (pow.f64 (/.f64 c d) 3) a (.f64 b (.f64 (/.f64 c d) (/.f64 c d))))) (fma.f64 (/.f64 c d) a b)) (hypot.f64 c d)) (if (<=.f64 d -75775844460696643125740271015190618284603218217942549579571726386002017057958879033858294022144) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 d -517434470314875378941896425472) (/.f64 (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 d -795464863044483/8796093022208) (/.f64 c (+.f64 (.f64 c (/.f64 c a)) (.f64 d (/.f64 d a)))) (if (<=.f64 d -1162941958872971/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (/.f64 (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 d 8183476519740355/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344) (+.f64 (/.f64 a c) (/.f64 (.f64 b (/.f64 d c)) c)) (if (<=.f64 d 1616622327689880787759014129767085360169443055383333856136288832257082548898904340740526488189368964298779142389760) (/.f64 (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d)) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))))))))))
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(if (<=.f64 d -318518990695986717178808339033634088358327873622515412320123983445406621395213659887755885471939777061468266532105005039616) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 d -75775844460696643125740271015190618284603218217942549579571726386002017057958879033858294022144) (/.f64 a c) (if (<=.f64 d -517434470314875378941896425472) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 d -8072741483270783/36028797018963968) (/.f64 a c) (if (<=.f64 d -824924286925383/23945242826029513411849172299223580994042798784118784) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 d 5093146497079821/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (.f64 (/.f64 1 c) (+.f64 a (/.f64 (.f64 d b) c))) (if (<=.f64 d 5036870557232557/2361183241434822606848) (+.f64 (/.f64 b d) (/.f64 a (.f64 d (/.f64 d c)))) (if (<=.f64 d 577614982265577756856156160) (.f64 (/.f64 1 c) (+.f64 a (/.f64 (*.f64 d b) c))) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c)))))))))))
(if (<=.f64 d -318518990695986717178808339033634088358327873622515412320123983445406621395213659887755885471939777061468266532105005039616) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 d -75775844460696643125740271015190618284603218217942549579571726386002017057958879033858294022144) (/.f64 a c) (if (<=.f64 d -517434470314875378941896425472) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c))) (if (<=.f64 d -4133243639434640896/18446744073709551616) (/.f64 a c) (if (<=.f64 d -6753674442891701/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (+.f64 (/.f64 b d) (/.f64 a (*.f64 (/.f64 d c) d))) (if (<=.f64 d 5093146497079821/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.f64 a c) (+.f64 (/.f64 b d) (/.f64 (/.f64 a d) (/.f64 d c)))))))))
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(if (<=.f64 d -318518990695986717178808339033634088358327873622515412320123983445406621395213659887755885471939777061468266532105005039616) (/.f64 b d) (if (<=.f64 d -8072741483270783/36028797018963968) (/.f64 a c) (if (<=.f64 d -824924286925383/23945242826029513411849172299223580994042798784118784) (/.f64 b d) (if (<=.f64 d 5093146497079821/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.f64 a c) (/.f64 b d)))))
(/.f64 b d)

Compiler

Compiled 1269 to 484 computations (61.9% saved)

soundness590.0ms (3.1%)

Algorithm

11×	egg-herbie

Rules

968×	`fma-neg_binary64`
968×	`fma-neg_binary64`
835×	`times-frac_binary64`
835×	`times-frac_binary64`
782×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	18	18
2	22	18
0	139	2891
1	438	2686
2	1473	2556
3	7099	2535
0	12	18
1	18	18
2	22	18
0	48	1848
1	140	1710
2	478	1629
3	2604	1578
4	6771	1578
0	38	3471
1	100	3363
2	276	3357
3	1188	2787
4	6561	2727
0	12	18
1	18	18
2	22	18
0	12	18
1	18	18
2	22	18
0	139	2891
1	438	2686
2	1473	2556
3	7099	2535
0	57	1416
1	152	1338
2	486	1284
3	2619	1260
4	6667	1260
0	12	18
1	18	18
2	22	18
0	48	1848
1	140	1710
2	478	1629
3	2604	1578
4	6771	1578

Stop Event

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

Compiler

Compiled 1781 to 1104 computations (38% saved)

end201.0ms (1%)

Compiler: Compiled 1221 to 296 computations (75.8% saved)