Details

analyze503.0ms (2.9%)

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)

sample1.1s (6.5%)

Results

1.1s	8256×	body	256	valid
59.0ms	484×	body	256	invalid

preprocess32.0ms (0.2%)

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)

simplify12.0ms (0.1%)

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)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

24.7b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.7b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize32.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (.f64 a c) (.f64 b d))
✓	24.3b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 49 to 11 computations (77.6% saved)

series25.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite125.0ms (0.7%)

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	26
1	264	25
2	3831	25

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

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

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

simplify116.0ms (0.7%)

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	1644
1	140	1542
2	478	1461
3	2604	1410
4	6771	1410

Stop Event

1×	node limit

Counts

205 → 133

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))

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)))
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(/.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))

eval58.0ms (0.3%)

Compiler: Compiled 2633 to 813 computations (69.1% saved)

prune64.0ms (0.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	118	15	133
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	118	16	134

Error

0.2b

Counts

134 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	44.5b	(/.f64 (fma.f64 (.f64 d (sqrt.f64 b)) (sqrt.f64 b) (.f64 a c)) (+.f64 (.f64 c c) (.f64 d d)))
▶	38.6b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
▶	37.7b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 b d) (.f64 a c))) (+.f64 (.f64 c c) (.f64 d d)))
	38.5b	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
▶	39.3b	(.f64 d (/.f64 b (fma.f64 d d (.f64 c c))))
	24.8b	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 1 (pow.f64 (hypot.f64 c d) 2)))
✓	24.7b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	36.2b	(.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)))
	28.5b	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
	41.3b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	34.9b	(/.f64 b d)
	25.2b	(/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) 3) (+.f64 (.f64 c c) (*.f64 d d)))
	35.1b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
▶	42.1b	(/.f64 a c)
▶	16.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
	34.8b	(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))

Compiler

Compiled 557 to 321 computations (42.4% saved)

localize30.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (hypot.f64 c d))
✓	0.3b	(.f64 (/.f64 1 (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
✓	15.3b	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 52 to 14 computations (73.1% saved)

series36.0ms (0.2%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
2.0ms	a	@	0	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
2.0ms	c	@	inf	(/.f64 1 (hypot.f64 c d))
2.0ms	b	@	0	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
2.0ms	d	@	inf	(/.f64 1 (hypot.f64 c d))

rewrite130.0ms (0.7%)

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	41
1	245	38
2	3129	38

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

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simplify139.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

930×	`fma-def_binary64`
806×	`associate-/l*_binary64`
610×	`associate-l_binary64`
606×	`associate-r_binary64`
504×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	185	3118
1	590	2858
2	2193	2718

Stop Event

1×	node limit

Counts

253 → 223

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))))
(/.f64 1 d)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 1 d) (.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)))))
(+.f64 (.f64 -5/16 (/.f64 (pow.f64 c 6) (pow.f64 d 7))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 1 d) (*.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))))
(/.f64 1 c)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (/.f64 1 c) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 5)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))))) (.f64 1/8 (pow.f64 d 6))) (pow.f64 c 7))) (+.f64 (/.f64 1 c) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 5))))))
(/.f64 -1 c)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (*.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))))) (/.f64 1 c))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4)))) (pow.f64 c 7))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 7))) (.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))))))) (/.f64 1 c))
(/.f64 1 c)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (/.f64 1 c)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (+.f64 (/.f64 1 c) (*.f64 -5/16 (/.f64 (pow.f64 d 6) (pow.f64 c 7))))))
(/.f64 1 d)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))))) (.f64 1/8 (pow.f64 c 6))) (pow.f64 d 7))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))))
(/.f64 -1 d)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))) (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))) (/.f64 1 d))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 7))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4)))) (pow.f64 d 7))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))) (.f64 -1/4 (/.f64 (pow.f64 c 4) (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 b (.f64 d (sqrt.f64 (/.f64 1 (fma.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 (.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 (.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 (.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))
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(.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)))
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(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (fma.f64 c a (*.f64 d b)))
b
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(fma.f64 (/.f64 c d) a b)
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a
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(fma.f64 (/.f64 d c) b a)
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(*.f64 -1 a)
(neg.f64 a)
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (+.f64 (.f64 c a) (*.f64 d b)))
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(.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)))
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(.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 d d) (.f64 c c)))) (+.f64 (.f64 c a) (*.f64 d b)))
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(.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)))
a
(+.f64 a (/.f64 (*.f64 d b) c))
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(fma.f64 (/.f64 d c) b a)
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(+.f64 a (fma.f64 -1/2 (/.f64 a (.f64 (/.f64 c d) (/.f64 c d))) (.f64 (/.f64 d c) b)))
(fma.f64 (/.f64 -1/2 c) (/.f64 a (/.f64 c (*.f64 d d))) (fma.f64 (/.f64 d c) b a))
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(fma.f64 -1/2 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 3) b)) (+.f64 a (fma.f64 -1/2 (/.f64 (.f64 (.f64 d d) a) (.f64 c c)) (/.f64 (.f64 d b) c))))
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(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 3)) b) (fma.f64 (/.f64 -1/2 c) (/.f64 a (/.f64 c (.f64 d d))) (fma.f64 (/.f64 d c) b a)))
b
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(+.f64 b (*.f64 (/.f64 c d) a))
(fma.f64 (/.f64 c d) a b)
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(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))))))
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(fma.f64 -1/2 (.f64 (/.f64 a (pow.f64 d 3)) (pow.f64 c 3)) (fma.f64 (/.f64 c d) a (fma.f64 (/.f64 -1/2 d) (/.f64 c (/.f64 d (.f64 c b))) b)))
(*.f64 -1 b)
(neg.f64 b)
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(*.f64 -1 (+.f64 b (/.f64 c (/.f64 d a))))
(-.f64 (neg.f64 b) (*.f64 (/.f64 c d) a))
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(/.f64 b d)
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(/.f64 a c)
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(+.f64 (/.f64 (.f64 d b) (+.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 c (/.f64 (+.f64 (.f64 d d) (.f64 c c)) a)))
(+.f64 (/.f64 d (/.f64 (fma.f64 d d (.f64 c c)) b)) (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(fma.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b (.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(/.f64 1 d)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(fma.f64 -1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (/.f64 1 d))
(fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 1 d))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 1 d) (.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 c c) (pow.f64 d 3)) (/.f64 1 d)) (.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))
(fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d)))
(fma.f64 -1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d)))
(+.f64 (.f64 -5/16 (/.f64 (pow.f64 c 6) (pow.f64 d 7))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 1 d) (*.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))))
(fma.f64 -5/16 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (+.f64 (fma.f64 -1/2 (/.f64 (.f64 c c) (pow.f64 d 3)) (/.f64 1 d)) (.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)))))
(fma.f64 -5/16 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d))))
(fma.f64 -5/16 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (fma.f64 -1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d))))
(/.f64 1 c)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(fma.f64 -1/2 (/.f64 (*.f64 d d) (pow.f64 c 3)) (/.f64 1 c))
(fma.f64 -1/2 (*.f64 (/.f64 d (pow.f64 c 3)) d) (/.f64 1 c))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (/.f64 1 c) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 5)))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 d d) (pow.f64 c 3)) (/.f64 1 c)) (neg.f64 (/.f64 (.f64 (pow.f64 d 4) -3/8) (pow.f64 c 5))))
(-.f64 (fma.f64 -1/2 (/.f64 (.f64 d d) (pow.f64 c 3)) (/.f64 1 c)) (.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8))
(fma.f64 -1/2 (*.f64 (/.f64 d (pow.f64 c 3)) d) (fma.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 1 c)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))))) (.f64 1/8 (pow.f64 d 6))) (pow.f64 c 7))) (+.f64 (/.f64 1 c) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 5))))))
(fma.f64 -1/2 (/.f64 (.f64 d d) (pow.f64 c 3)) (fma.f64 -1 (/.f64 (fma.f64 -1/2 (.f64 (.f64 d d) (.f64 (pow.f64 d 4) -3/8)) (.f64 1/8 (pow.f64 d 6))) (pow.f64 c 7)) (+.f64 (/.f64 1 c) (neg.f64 (/.f64 (.f64 (pow.f64 d 4) -3/8) (pow.f64 c 5))))))
(fma.f64 -1/2 (/.f64 (.f64 d d) (pow.f64 c 3)) (-.f64 (-.f64 (/.f64 1 c) (.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8)) (/.f64 (fma.f64 -1/2 (.f64 (pow.f64 d 6) -3/8) (.f64 1/8 (pow.f64 d 6))) (pow.f64 c 7))))
(-.f64 (fma.f64 -1/2 (.f64 (/.f64 d (pow.f64 c 3)) d) (fma.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 1 c))) (/.f64 (fma.f64 1/8 (pow.f64 d 6) (.f64 (pow.f64 d 6) 3/16)) (pow.f64 c 7)))
(/.f64 -1 c)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(-.f64 (/.f64 (.f64 1/2 (.f64 d d)) (pow.f64 c 3)) (/.f64 1 c))
(fma.f64 1/2 (/.f64 (*.f64 d d) (pow.f64 c 3)) (/.f64 -1 c))
(fma.f64 1/2 (*.f64 (/.f64 d (pow.f64 c 3)) d) (/.f64 -1 c))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (*.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))))) (/.f64 1 c))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 d d) (pow.f64 c 3)) (.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8)) (/.f64 1 c))
(fma.f64 1/2 (/.f64 (*.f64 d d) (pow.f64 c 3)) (fma.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8 (/.f64 -1 c)))
(fma.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8 (fma.f64 1/2 (*.f64 (/.f64 d (pow.f64 c 3)) d) (/.f64 -1 c)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/8 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4)))) (pow.f64 c 7))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 7))) (.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))))))) (/.f64 1 c))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 d d) (pow.f64 c 3)) (fma.f64 -1/2 (/.f64 (.f64 d d) (/.f64 (pow.f64 c 7) (.f64 (pow.f64 d 4) -3/8))) (fma.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (fma.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 7)) (/.f64 (.f64 (pow.f64 d 4) -1/8) (pow.f64 c 5)))))) (/.f64 1 c))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 d 6) -3/8) (pow.f64 c 7)) (+.f64 (.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8) (.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 7))))) (fma.f64 1/2 (/.f64 (.f64 d d) (pow.f64 c 3)) (/.f64 -1 c)))
(+.f64 (+.f64 (/.f64 (.f64 (pow.f64 d 6) 3/16) (pow.f64 c 7)) (fma.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8 (.f64 (/.f64 1/8 (pow.f64 c 7)) (pow.f64 d 6)))) (fma.f64 1/2 (*.f64 (/.f64 d (pow.f64 c 3)) d) (/.f64 -1 c)))
(/.f64 1 c)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(fma.f64 -1/2 (/.f64 (*.f64 d d) (pow.f64 c 3)) (/.f64 1 c))
(fma.f64 -1/2 (*.f64 (/.f64 d (pow.f64 c 3)) d) (/.f64 1 c))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (/.f64 1 c)))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 d d) (pow.f64 c 3)) (/.f64 1 c)) (neg.f64 (/.f64 (.f64 (pow.f64 d 4) -3/8) (pow.f64 c 5))))
(-.f64 (fma.f64 -1/2 (/.f64 (.f64 d d) (pow.f64 c 3)) (/.f64 1 c)) (.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8))
(fma.f64 -1/2 (*.f64 (/.f64 d (pow.f64 c 3)) d) (fma.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 1 c)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (+.f64 (/.f64 1 c) (*.f64 -5/16 (/.f64 (pow.f64 d 6) (pow.f64 c 7))))))
(fma.f64 -1/2 (/.f64 (.f64 d d) (pow.f64 c 3)) (+.f64 (fma.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 1 c)) (.f64 -5/16 (/.f64 (pow.f64 d 6) (pow.f64 c 7)))))
(fma.f64 -1/2 (/.f64 (*.f64 d d) (pow.f64 c 3)) (fma.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (fma.f64 -5/16 (/.f64 (pow.f64 d 6) (pow.f64 c 7)) (/.f64 1 c))))
(fma.f64 -1/2 (*.f64 (/.f64 d (pow.f64 c 3)) d) (fma.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (fma.f64 -5/16 (/.f64 (pow.f64 d 6) (pow.f64 c 7)) (/.f64 1 c))))
(/.f64 1 d)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(fma.f64 -1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (/.f64 1 d))
(fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 1 d))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d)))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 c c) (pow.f64 d 3)) (/.f64 1 d)) (.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))
(fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d)))
(fma.f64 -1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))))) (.f64 1/8 (pow.f64 c 6))) (pow.f64 d 7))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (.f64 (.f64 c c) (.f64 (pow.f64 c 4) -3/8)) (.f64 (pow.f64 c 6) 1/8)) (pow.f64 d 7)) (fma.f64 -1 (/.f64 (.f64 (pow.f64 c 4) -3/8) (pow.f64 d 5)) (fma.f64 -1/2 (/.f64 (.f64 c c) (pow.f64 d 3)) (/.f64 1 d))))
(-.f64 (-.f64 (fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 1 d)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) -3/8))) (/.f64 (fma.f64 -1/2 (.f64 (pow.f64 c 6) -3/8) (.f64 (pow.f64 c 6) 1/8)) (pow.f64 d 7)))
(-.f64 (fma.f64 -1/2 (/.f64 (.f64 c c) (pow.f64 d 3)) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d))) (/.f64 (fma.f64 (pow.f64 c 6) 1/8 (.f64 (pow.f64 c 6) 3/16)) (pow.f64 d 7)))
(/.f64 -1 d)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(-.f64 (.f64 1/2 (/.f64 (.f64 c c) (pow.f64 d 3))) (/.f64 1 d))
(fma.f64 1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 -1 d))
(fma.f64 1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (/.f64 -1 d))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))) (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))) (/.f64 1 d))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 c c) (pow.f64 d 3)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) -3/8)) (/.f64 1 d))
(fma.f64 1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) -3/8 (/.f64 -1 d)))
(fma.f64 1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) -3/8 (/.f64 -1 d)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 7))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4)))) (pow.f64 d 7))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))) (.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))))) (/.f64 1 d))
(-.f64 (fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (fma.f64 -1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 d 7) (.f64 (pow.f64 c 4) -3/8))) (fma.f64 1/2 (/.f64 (.f64 c c) (pow.f64 d 3)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) -3/8)))) (/.f64 1 d))
(+.f64 (fma.f64 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) 1/8 (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 6) -3/8) (pow.f64 d 7)) (fma.f64 1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) -3/8))))) (/.f64 -1 d))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 c c) (pow.f64 d 3)) (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) -3/8 (/.f64 (.f64 (pow.f64 c 6) 3/16) (pow.f64 d 7)))) (fma.f64 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) 1/8 (/.f64 -1 d)))

localize7.0ms (0%)

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

localize20.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	18.4b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))

Compiler

Compiled 34 to 9 computations (73.5% saved)

series14.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	b	@	-inf	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
2.0ms	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)))

rewrite101.0ms (0.6%)

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))))))

simplify72.0ms (0.4%)

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)))))

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	8.1b	(/.f64 b (fma.f64 d d (*.f64 c c)))
✓	12.1b	(.f64 d (/.f64 b (fma.f64 d d (.f64 c c))))

Compiler

Compiled 34 to 8 computations (76.5% saved)

series16.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite125.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

856×	`pow1_binary64`
789×	`add-log-exp_binary64`
789×	`log1p-expm1-u_binary64`
789×	`expm1-log1p-u_binary64`
769×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	165	23
2	2152	23

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify91.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

669×	`times-frac_binary64`
445×	`distribute-rgt-neg-in_binary64`
384×	`distribute-lft-neg-in_binary64`
369×	`associate-/l*_binary64`
369×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	1824
1	230	1716
2	781	1620
3	4600	1587
4	7547	1587

Stop Event

1×	node limit

Counts

125 → 88

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

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

localize63.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 (.f64 b d) (.f64 a c))
✓	5.5b	(-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2))
✓	24.3b	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 b d) (.f64 a c))) (+.f64 (.f64 c c) (.f64 d d)))
✓	34.6b	(/.f64 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 b d) (.f64 a c)))

Compiler

Compiled 102 to 33 computations (67.6% saved)

series30.0ms (0.2%)

Counts

4 → 192

Calls

48 calls:

Time	Variable		Point	Expression
4.0ms	a	@	inf	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 b d) (.f64 a c))) (+.f64 (.f64 c c) (.f64 d d)))
1.0ms	b	@	0	(/.f64 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 b d) (.f64 a c)))
1.0ms	a	@	-inf	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 b d) (.f64 a c))) (+.f64 (.f64 c c) (.f64 d d)))
1.0ms	b	@	0	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 b d) (.f64 a c))) (+.f64 (.f64 c c) (.f64 d d)))
1.0ms	b	@	inf	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 b d) 2) (pow.f64 (.f64 a c) 2)) (-.f64 (.f64 b d) (.f64 a c))) (+.f64 (.f64 c c) (.f64 d d)))

rewrite115.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

454×	`fma-neg_binary64`
345×	`expm1-udef_binary64`
345×	`log1p-udef_binary64`
208×	`add-sqr-sqrt_binary64`
207×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	92
1	405	51
2	6151	51

Stop Event

1×	node limit

Counts

4 → 244

Calls

Call 1

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

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

simplify112.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

519×	`times-frac_binary64`
447×	`associate-l_binary64`
412×	`fma-def_binary64`
404×	`associate-r_binary64`
376×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	3042
1	259	2886
2	1031	2730
3	5971	2727

Stop Event

1×	node limit

Counts

436 → 280

Calls

Call 1

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

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

eval215.0ms (1.2%)

Compiler: Compiled 16360 to 6041 computations (63.1% saved)

prune241.0ms (1.4%)

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	636	23	659
Fresh	5	5	10
Picked	1	0	1
Done	2	3	5
Total	644	31	675

Error

0.2b

Counts

675 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	24.8b	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
	28.5b	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
▶	34.9b	(/.f64 b d)
	36.9b	(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
	46.9b	(/.f64 (/.f64 (.f64 d (.f64 b (.f64 d b))) (-.f64 (.f64 b d) (.f64 a c))) (+.f64 (.f64 c c) (*.f64 d d)))
	41.3b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	46.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (.f64 -1 a)))
✓	38.6b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	54.1b	(.f64 d (/.f64 b (.f64 c c)))
▶	47.9b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 a))
▶	43.0b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (.f64 c a) d)))
	47.8b	(/.f64 (/.f64 (.f64 (.f64 c a) (.f64 c (neg.f64 a))) (-.f64 (.f64 b d) (.f64 a c))) (+.f64 (.f64 c c) (*.f64 d d)))
	16.5b	(/.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)))
▶	38.5b	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
	52.6b	(*.f64 b (/.f64 (/.f64 d c) c))
	53.1b	(.f64 b (/.f64 d (.f64 c c)))
▶	16.3b	(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
✓	42.1b	(/.f64 a c)
	45.5b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (.f64 -1 b) (.f64 -1 (/.f64 (.f64 c a) d))))
✓	24.7b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	42.8b	(*.f64 d (/.f64 (/.f64 b d) d))
	40.7b	(.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a)
	46.6b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
	48.8b	(*.f64 (/.f64 1 (hypot.f64 c d)) a)
	16.9b	(.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) -3) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
	34.8b	(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
	37.7b	(/.f64 (/.f64 (.f64 (fma.f64 c a (.f64 d b)) (-.f64 (.f64 d b) (.f64 c a))) (-.f64 (.f64 b d) (.f64 a c))) (+.f64 (.f64 c c) (.f64 d d)))
	43.2b	(*.f64 (/.f64 1 (hypot.f64 c d)) b)
	35.1b	(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
	44.2b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 (fma.f64 (/.f64 c d) a b)))
	33.6b	(.f64 d (.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 b (hypot.f64 d c))))

Compiler

Compiled 981 to 589 computations (40% saved)

localize24.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
	15.3b	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Compiler

Compiled 44 to 9 computations (79.5% saved)

series7.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite84.0ms (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))))))

simplify99.0ms (0.6%)

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))))
(+.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))))
(+.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 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 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 (.f64 c c)) b))
(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 (.f64 c c)) b) (.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 (.f64 c c)) b) (/.f64 b (/.f64 (pow.f64 c 4) (pow.f64 d 3)))) (.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 (/.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 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 (.f64 c c)) b))
(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 (.f64 c c)) b) (.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 (.f64 c c)) b) (/.f64 b (/.f64 (pow.f64 c 4) (pow.f64 d 3)))) (.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 (/.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 (*.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))))
(+.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 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 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 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 (.f64 c c)) b))
(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 (.f64 c c)) b) (.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 (.f64 c c)) b) (/.f64 b (/.f64 (pow.f64 c 4) (pow.f64 d 3)))) (.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 (/.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)))))

localize10.0ms (0.1%)

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

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.1b	(.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c)))
✓	4.4b	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
✓	5.9b	(/.f64 (*.f64 d a) c)
✓	6.0b	(/.f64 d (*.f64 c c))

Compiler

Compiled 64 to 12 computations (81.3% saved)

series51.0ms (0.3%)

Counts

4 → 156

Calls

39 calls:

Time	Variable		Point	Expression
11.0ms	c	@	0	(/.f64 (*.f64 d a) c)
5.0ms	b	@	0	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
2.0ms	a	@	0	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
2.0ms	b	@	-inf	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))
2.0ms	b	@	inf	(+.f64 (/.f64 a c) (.f64 (/.f64 d (.f64 c c)) (-.f64 b (/.f64 (*.f64 d a) c))))

rewrite170.0ms (1%)

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	4797	56

Stop Event

1×	node limit

Counts

4 → 211

Calls

Call 1

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

Outputs
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simplify144.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

663×	`fma-neg_binary64`
574×	`fma-def_binary64`
571×	`associate-/l*_binary64`
397×	`distribute-neg-frac_binary64`
393×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	2679
1	88	2607
2	246	2601
3	1081	2247
4	5914	2187

Stop Event

1×	node limit

Counts

367 → 230

Calls

Call 1

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

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 12 computations (53.8% saved)

series14.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite88.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`pow1_binary64`
679×	`add-log-exp_binary64`
679×	`log1p-expm1-u_binary64`
679×	`expm1-log1p-u_binary64`
664×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	181	7
2	2238	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify82.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

811×	`associate-l_binary64`
801×	`associate-r_binary64`
639×	`times-frac_binary64`
599×	`associate-/l*_binary64`
386×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	1167
1	465	1112
2	1828	1024

Stop Event

1×	node limit

Counts

62 → 64

Calls

Call 1

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

Outputs
(*.f64 -1 (/.f64 a d))
(neg.f64 (/.f64 a d))
(/.f64 (neg.f64 a) d)
(+.f64 (.f64 -1 (/.f64 a d)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3))))
(fma.f64 -1 (/.f64 a d) (.f64 1/2 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 d 3))))
(fma.f64 1/2 (/.f64 (.f64 a (.f64 c c)) (pow.f64 d 3)) (/.f64 (neg.f64 a) d))
(-.f64 (.f64 (/.f64 1/2 (pow.f64 d 3)) (.f64 a (*.f64 c c))) (/.f64 a d))
(+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 a (pow.f64 d 5))) (.f64 -1/8 (/.f64 a (pow.f64 d 5)))) (pow.f64 c 4)) (+.f64 (.f64 -1 (/.f64 a d)) (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3)))))
(fma.f64 (.f64 (/.f64 a (pow.f64 d 5)) -3/8) (pow.f64 c 4) (fma.f64 -1 (/.f64 a d) (.f64 1/2 (/.f64 (.f64 a (.f64 c c)) (pow.f64 d 3)))))
(fma.f64 (/.f64 (.f64 a -3/8) (pow.f64 d 5)) (pow.f64 c 4) (fma.f64 1/2 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 d 3)) (/.f64 (neg.f64 a) d)))
(fma.f64 (/.f64 (.f64 a -3/8) (pow.f64 d 5)) (pow.f64 c 4) (-.f64 (.f64 (/.f64 1/2 (pow.f64 d 3)) (.f64 a (.f64 c c))) (/.f64 a d)))
(+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 a (pow.f64 d 5))) (.f64 -1/8 (/.f64 a (pow.f64 d 5)))) (pow.f64 c 4)) (+.f64 (.f64 (pow.f64 c 6) (+.f64 (.f64 1/8 (/.f64 a (pow.f64 d 7))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 a (pow.f64 d 5))) (.f64 -1/8 (/.f64 a (pow.f64 d 5)))) (pow.f64 d 2))))) (+.f64 (.f64 -1 (/.f64 a d)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3))))))
(fma.f64 (.f64 (/.f64 a (pow.f64 d 5)) -3/8) (pow.f64 c 4) (fma.f64 (pow.f64 c 6) (fma.f64 1/8 (/.f64 a (pow.f64 d 7)) (.f64 -1/2 (/.f64 (.f64 (/.f64 a (pow.f64 d 5)) -3/8) (.f64 d d)))) (fma.f64 -1 (/.f64 a d) (.f64 1/2 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 d 3))))))
(fma.f64 (/.f64 (.f64 a -3/8) (pow.f64 d 5)) (pow.f64 c 4) (fma.f64 (pow.f64 c 6) (fma.f64 -1/2 (/.f64 (/.f64 (.f64 a -3/8) (pow.f64 d 5)) (.f64 d d)) (/.f64 1/8 (/.f64 (pow.f64 d 7) a))) (fma.f64 1/2 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 d 3)) (/.f64 (neg.f64 a) d))))
(fma.f64 (/.f64 (.f64 a -3/8) (pow.f64 d 5)) (pow.f64 c 4) (fma.f64 (pow.f64 c 6) (fma.f64 1/8 (/.f64 a (pow.f64 d 7)) (/.f64 (.f64 (/.f64 a (pow.f64 d 5)) 3/16) (.f64 d d))) (-.f64 (.f64 (/.f64 1/2 (pow.f64 d 3)) (.f64 a (.f64 c c))) (/.f64 a d))))
(*.f64 -1 (/.f64 a c))
(neg.f64 (/.f64 a c))
(/.f64 (neg.f64 a) c)
(+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (*.f64 -1 (/.f64 a c)))
(fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (neg.f64 (/.f64 a c)))
(fma.f64 1/2 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (/.f64 (neg.f64 a) c))
(-.f64 (/.f64 (.f64 (.f64 1/2 d) (*.f64 d a)) (pow.f64 c 3)) (/.f64 a c))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5))) (+.f64 (.f64 -1 (/.f64 a c)) (.f64 -1/4 (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))))
(fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (fma.f64 -1/8 (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4))) (fma.f64 -1 (/.f64 a c) (/.f64 (.f64 -1/4 (*.f64 a (pow.f64 d 4))) (pow.f64 c 5)))))
(fma.f64 1/2 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (fma.f64 -1/8 (.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4)) (-.f64 (.f64 -1/4 (*.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4))) (/.f64 a c))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (/.f64 (*.f64 a (pow.f64 d 4)) (/.f64 (pow.f64 c 5) -3/8))) (/.f64 a c))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 -1/8 (/.f64 (.f64 a (pow.f64 d 4)) (pow.f64 c 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 a (pow.f64 d 6)) (pow.f64 c 7))) (+.f64 (.f64 -1 (/.f64 a c)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/8 (.f64 a (pow.f64 d 4))) (.f64 -1/4 (.f64 a (pow.f64 d 4))))) (pow.f64 c 7))) (.f64 -1/4 (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 5))))))))
(fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (fma.f64 -1/8 (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4))) (fma.f64 1/8 (/.f64 a (/.f64 (pow.f64 c 7) (pow.f64 d 6))) (fma.f64 -1 (/.f64 a c) (fma.f64 -1/2 (/.f64 (.f64 d d) (/.f64 (pow.f64 c 7) (.f64 (.f64 a (pow.f64 d 4)) -3/8))) (/.f64 (.f64 -1/4 (.f64 a (pow.f64 d 4))) (pow.f64 c 5)))))))
(fma.f64 1/2 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (fma.f64 -1/8 (.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4)) (fma.f64 1/8 (/.f64 a (/.f64 (pow.f64 c 7) (pow.f64 d 6))) (-.f64 (fma.f64 -1/4 (.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4)) (.f64 -1/2 (.f64 (/.f64 (.f64 d d) (pow.f64 c 7)) (.f64 (pow.f64 d 4) (*.f64 a -3/8))))) (/.f64 a c)))))
(+.f64 (+.f64 (-.f64 (.f64 (pow.f64 d 6) (/.f64 a (/.f64 (pow.f64 c 7) 1/8))) (/.f64 a c)) (/.f64 (.f64 (.f64 a (pow.f64 d 6)) 3/16) (pow.f64 c 7))) (fma.f64 1/2 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (/.f64 (.f64 a (pow.f64 d 4)) (/.f64 (pow.f64 c 5) -3/8))))
(/.f64 a c)
(+.f64 (/.f64 a c) (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (.f64 -1/2 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d)))))
(fma.f64 -1/2 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (/.f64 a c))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 a (pow.f64 d 4))) (.f64 -1/4 (.f64 a (pow.f64 d 4)))) (pow.f64 c 5))) (.f64 -1/2 (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3)))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 (.f64 (.f64 a (pow.f64 d 4)) -3/8) (pow.f64 c 5)) (.f64 -1/2 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))))))
(+.f64 (/.f64 a c) (-.f64 (.f64 -1/2 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (/.f64 (.f64 (pow.f64 d 4) (*.f64 a -3/8)) (pow.f64 c 5))))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (/.f64 a c)) (/.f64 (.f64 (.f64 a (pow.f64 d 4)) 3/8) (pow.f64 c 5)))
(+.f64 (/.f64 a c) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/8 (.f64 a (pow.f64 d 4))) (.f64 -1/4 (.f64 a (pow.f64 d 4)))))) (.f64 1/8 (.f64 a (pow.f64 d 6)))) (pow.f64 c 7))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 a (pow.f64 d 4))) (.f64 -1/4 (.f64 a (pow.f64 d 4)))) (pow.f64 c 5))) (.f64 -1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))))))
(+.f64 (/.f64 a c) (fma.f64 -1 (/.f64 (fma.f64 -1/2 (.f64 (.f64 d d) (.f64 (.f64 a (pow.f64 d 4)) -3/8)) (.f64 1/8 (.f64 a (pow.f64 d 6)))) (pow.f64 c 7)) (fma.f64 -1 (/.f64 (.f64 (.f64 a (pow.f64 d 4)) -3/8) (pow.f64 c 5)) (.f64 -1/2 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d)))))))
(+.f64 (/.f64 a c) (-.f64 (-.f64 (.f64 -1/2 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d))) (/.f64 (.f64 (pow.f64 d 4) (.f64 a -3/8)) (pow.f64 c 5))) (/.f64 (fma.f64 1/8 (.f64 a (pow.f64 d 6)) (.f64 -1/2 (.f64 (.f64 d d) (.f64 (pow.f64 d 4) (*.f64 a -3/8))))) (pow.f64 c 7))))
(+.f64 (/.f64 a c) (-.f64 (fma.f64 -1/2 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (/.f64 (.f64 (.f64 a (pow.f64 d 4)) 3/8) (pow.f64 c 5))) (/.f64 (fma.f64 1/8 (.f64 a (pow.f64 d 6)) (.f64 (*.f64 a (pow.f64 d 6)) 3/16)) (pow.f64 c 7))))
(*.f64 -1 (/.f64 a c))
(neg.f64 (/.f64 a c))
(/.f64 (neg.f64 a) c)
(+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (*.f64 -1 (/.f64 a c)))
(fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d))) (neg.f64 (/.f64 a c)))
(fma.f64 1/2 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (/.f64 (neg.f64 a) c))
(-.f64 (/.f64 (.f64 (.f64 1/2 d) (*.f64 d a)) (pow.f64 c 3)) (/.f64 a c))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 a (pow.f64 c 5))) (.f64 -1/8 (/.f64 a (pow.f64 c 5)))) (pow.f64 d 4)) (.f64 -1 (/.f64 a c))))
(fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (fma.f64 -1/8 (/.f64 a (/.f64 (pow.f64 c 5) (pow.f64 d 4))) (fma.f64 -1 (/.f64 a c) (/.f64 (.f64 -1/4 (*.f64 a (pow.f64 d 4))) (pow.f64 c 5)))))
(fma.f64 1/2 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (fma.f64 -1/8 (.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4)) (-.f64 (.f64 -1/4 (*.f64 (/.f64 a (pow.f64 c 5)) (pow.f64 d 4))) (/.f64 a c))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (/.f64 (*.f64 a (pow.f64 d 4)) (/.f64 (pow.f64 c 5) -3/8))) (/.f64 a c))
(+.f64 (.f64 1/2 (/.f64 (.f64 a (pow.f64 d 2)) (pow.f64 c 3))) (+.f64 (.f64 (pow.f64 d 6) (+.f64 (.f64 1/8 (/.f64 a (pow.f64 c 7))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 a (pow.f64 c 5))) (.f64 -1/8 (/.f64 a (pow.f64 c 5)))) (pow.f64 c 2))))) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 a (pow.f64 c 5))) (.f64 -1/8 (/.f64 a (pow.f64 c 5)))) (pow.f64 d 4)) (*.f64 -1 (/.f64 a c)))))
(fma.f64 1/2 (/.f64 a (/.f64 (pow.f64 c 3) (.f64 d d))) (fma.f64 (pow.f64 d 6) (fma.f64 1/8 (/.f64 a (pow.f64 c 7)) (.f64 -1/2 (/.f64 (.f64 (/.f64 a (pow.f64 c 5)) -3/8) (.f64 c c)))) (fma.f64 (*.f64 (/.f64 a (pow.f64 c 5)) -3/8) (pow.f64 d 4) (neg.f64 (/.f64 a c)))))
(fma.f64 1/2 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (fma.f64 (pow.f64 d 6) (fma.f64 1/8 (/.f64 a (pow.f64 c 7)) (.f64 (/.f64 -1/2 c) (/.f64 (/.f64 (.f64 a -3/8) (pow.f64 c 5)) c))) (fma.f64 (pow.f64 d 4) (/.f64 (*.f64 a -3/8) (pow.f64 c 5)) (/.f64 (neg.f64 a) c))))
(fma.f64 1/2 (.f64 (/.f64 a (pow.f64 c 3)) (.f64 d d)) (fma.f64 (pow.f64 d 6) (fma.f64 1/8 (/.f64 a (pow.f64 c 7)) (/.f64 (.f64 (/.f64 a (pow.f64 c 5)) 3/16) (.f64 c c))) (-.f64 (/.f64 (*.f64 a (pow.f64 d 4)) (/.f64 (pow.f64 c 5) -3/8)) (/.f64 a c))))
(*.f64 -1 (/.f64 a d))
(neg.f64 (/.f64 a d))
(/.f64 (neg.f64 a) d)
(+.f64 (.f64 -1 (/.f64 a d)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3))))
(fma.f64 -1 (/.f64 a d) (.f64 1/2 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 d 3))))
(fma.f64 1/2 (/.f64 (.f64 a (.f64 c c)) (pow.f64 d 3)) (/.f64 (neg.f64 a) d))
(-.f64 (.f64 (/.f64 1/2 (pow.f64 d 3)) (.f64 a (*.f64 c c))) (/.f64 a d))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 5))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 5))) (+.f64 (.f64 -1 (/.f64 a d)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3))))))
(fma.f64 (.f64 (/.f64 a (pow.f64 d 5)) -3/8) (pow.f64 c 4) (fma.f64 -1 (/.f64 a d) (.f64 1/2 (/.f64 (.f64 a (.f64 c c)) (pow.f64 d 3)))))
(fma.f64 (/.f64 (.f64 a -3/8) (pow.f64 d 5)) (pow.f64 c 4) (fma.f64 1/2 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 d 3)) (/.f64 (neg.f64 a) d)))
(fma.f64 (/.f64 (.f64 a -3/8) (pow.f64 d 5)) (pow.f64 c 4) (-.f64 (.f64 (/.f64 1/2 (pow.f64 d 3)) (.f64 a (.f64 c c))) (/.f64 a d)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 4) a) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 4) a)) (.f64 -1/4 (.f64 (pow.f64 c 4) a)))) (pow.f64 d 7))) (+.f64 (.f64 -1 (/.f64 a d)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 6) a) (pow.f64 d 7))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3))))))))
(fma.f64 -1/4 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) a)) (fma.f64 -1/8 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) a)) (fma.f64 -1/2 (/.f64 (.f64 (.f64 c c) (.f64 (.f64 a (pow.f64 c 4)) -3/8)) (pow.f64 d 7)) (fma.f64 -1 (/.f64 a d) (fma.f64 1/8 (/.f64 (pow.f64 c 6) (/.f64 (pow.f64 d 7) a)) (.f64 1/2 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 d 3))))))))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 (.f64 c c) (pow.f64 d 7)) (.f64 (pow.f64 c 4) (.f64 a -3/8))) (-.f64 (fma.f64 1/2 (/.f64 (.f64 a (.f64 c c)) (pow.f64 d 3)) (.f64 (pow.f64 c 6) (/.f64 1/8 (/.f64 (pow.f64 d 7) a)))) (/.f64 a d))) (.f64 (/.f64 a (/.f64 (pow.f64 d 5) (pow.f64 c 4))) -3/8))
(-.f64 (+.f64 (+.f64 (.f64 (/.f64 a (pow.f64 d 5)) (.f64 -3/8 (pow.f64 c 4))) (/.f64 (.f64 (.f64 a (pow.f64 c 6)) 3/16) (pow.f64 d 7))) (fma.f64 1/2 (.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) a) (.f64 (pow.f64 c 6) (*.f64 (/.f64 1/8 (pow.f64 d 7)) a)))) (/.f64 a d))
(/.f64 a d)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (/.f64 a d))
(fma.f64 -1/2 (/.f64 (.f64 a (.f64 c c)) (pow.f64 d 3)) (/.f64 a d))
(fma.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 d 3)) -1/2 (/.f64 a d))
(fma.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) a) -1/2 (/.f64 a d))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 4) a)) (.f64 -1/4 (.f64 (pow.f64 c 4) a))) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (/.f64 a d)))
(fma.f64 -1 (/.f64 (.f64 (.f64 a (pow.f64 c 4)) -3/8) (pow.f64 d 5)) (fma.f64 -1/2 (/.f64 (.f64 a (.f64 c c)) (pow.f64 d 3)) (/.f64 a d)))
(-.f64 (fma.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 d 3)) -1/2 (/.f64 a d)) (/.f64 (.f64 (pow.f64 c 4) (.f64 a -3/8)) (pow.f64 d 5)))
(+.f64 (fma.f64 (.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) a) -1/2 (/.f64 a d)) (/.f64 (.f64 (*.f64 a (pow.f64 c 4)) 3/8) (pow.f64 d 5)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 4) a)) (.f64 -1/4 (.f64 (pow.f64 c 4) a))) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 c 6) a)) (.f64 -1/2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 4) a)) (.f64 -1/4 (.f64 (pow.f64 c 4) a)))))) (pow.f64 d 7))) (/.f64 a d))))
(fma.f64 -1 (/.f64 (.f64 (.f64 a (pow.f64 c 4)) -3/8) (pow.f64 d 5)) (fma.f64 -1/2 (/.f64 (.f64 a (.f64 c c)) (pow.f64 d 3)) (fma.f64 -1 (/.f64 (fma.f64 1/8 (.f64 a (pow.f64 c 6)) (.f64 (.f64 -1/2 (.f64 c c)) (.f64 (.f64 a (pow.f64 c 4)) -3/8))) (pow.f64 d 7)) (/.f64 a d))))
(-.f64 (fma.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 d 3)) -1/2 (-.f64 (/.f64 a d) (/.f64 (fma.f64 (.f64 (.f64 c c) -1/2) (.f64 (pow.f64 c 4) (.f64 a -3/8)) (.f64 (pow.f64 c 6) (.f64 a 1/8))) (pow.f64 d 7)))) (/.f64 (.f64 (pow.f64 c 4) (.f64 a -3/8)) (pow.f64 d 5)))
(-.f64 (+.f64 (fma.f64 (.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) a) -1/2 (/.f64 a d)) (/.f64 (.f64 (.f64 a (pow.f64 c 4)) 3/8) (pow.f64 d 5))) (/.f64 (fma.f64 1/8 (.f64 a (pow.f64 c 6)) (.f64 (.f64 a (pow.f64 c 6)) 3/16)) (pow.f64 d 7)))
(.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(neg.f64 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (*.f64 d d))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 a))
(.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(neg.f64 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (*.f64 d d))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 a))
(.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(neg.f64 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (*.f64 d d))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 a))
(.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(neg.f64 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (*.f64 d d))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 a))
(.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(neg.f64 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (*.f64 d d))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 a))
(.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(neg.f64 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (*.f64 d d))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 a))
(.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(neg.f64 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (*.f64 d d))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 a))
(.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(neg.f64 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (*.f64 d d))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 a))
(.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(neg.f64 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (*.f64 d d))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 a))
(.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(neg.f64 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (*.f64 d d))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 a))
(.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(neg.f64 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (*.f64 d d))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 a))
(.f64 -1 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2))))))
(neg.f64 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (.f64 c c) (*.f64 d d))))))
(.f64 (sqrt.f64 (/.f64 1 (fma.f64 d d (.f64 c c)))) (neg.f64 a))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 b (/.f64 (*.f64 c a) d))
	0.0b	(/.f64 1 (hypot.f64 c d))
✓	3.7b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (.f64 c a) d)))
✓	6.0b	(/.f64 (*.f64 c a) d)

Compiler

Compiled 45 to 14 computations (68.9% saved)

series24.0ms (0.1%)

Counts

3 → 60

Calls

33 calls:

Time	Variable		Point	Expression
6.0ms	c	@	inf	(/.f64 (*.f64 c a) d)
2.0ms	c	@	-inf	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (.f64 c a) d)))
1.0ms	b	@	0	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (.f64 c a) d)))
1.0ms	b	@	inf	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (.f64 c a) d)))
1.0ms	c	@	inf	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 b (/.f64 (.f64 c a) d)))

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`log-prod_binary64`
347×	`pow2_binary64`
297×	`fma-def_binary64`
245×	`pow1/3_binary64`
234×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	262	33
2	3906	29

Stop Event

1×	node limit

Counts

3 → 202

Calls

Call 1

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

Outputs

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

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

simplify83.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

544×	`distribute-rgt-neg-in_binary64`
544×	`fma-neg_binary64`
522×	`associate-/r/_binary64`
491×	`associate-/l/_binary64`
449×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	1482
1	205	1155
2	665	1098
3	2940	1056
4	6131	1056

Stop Event

1×	node limit

Counts

262 → 241

Calls

Call 1

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

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

eval255.0ms (1.5%)

Compiler: Compiled 17651 to 6455 computations (63.4% saved)

prune176.0ms (1%)

Pruning

36 alts after pruning (32 fresh and 4 done)

	Pruned	Kept	Total
New	803	18	821
Fresh	9	14	23
Picked	1	0	1
Done	3	4	7
Total	816	36	852

Error

0.2b

Counts

852 → 36

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.8b	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
	58.0b	(/.f64 (neg.f64 b) d)
	28.5b	(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
✓	34.9b	(/.f64 b d)
▶	36.9b	(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
	36.7b	(+.f64 (/.f64 a c) (/.f64 (/.f64 (.f64 d (-.f64 b (.f64 d (/.f64 a c)))) c) c))
	41.3b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	46.2b	(.f64 (/.f64 1 (hypot.f64 c d)) (+.f64 (.f64 -1 (/.f64 (.f64 d b) c)) (.f64 -1 a)))
✓	38.6b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	54.1b	(.f64 d (/.f64 b (.f64 c c)))
	30.8b	(.f64 (/.f64 1 d) (+.f64 b (/.f64 (.f64 c a) d)))
	43.0b	(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) (hypot.f64 c d))
	58.7b	(/.f64 (neg.f64 a) d)
	58.7b	(*.f64 (/.f64 1 d) (neg.f64 a))
	53.1b	(.f64 b (/.f64 d (.f64 c c)))
✓	42.1b	(/.f64 a c)
▶	58.7b	(/.f64 a d)
	40.7b	(.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a)
	46.6b	(/.f64 (neg.f64 b) (hypot.f64 c d))
✓	24.7b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	48.8b	(/.f64 a (hypot.f64 c d))
	35.6b	(+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 d c) (-.f64 b (.f64 d (/.f64 a c)))) c))
	46.6b	(*.f64 (/.f64 1 (hypot.f64 c d)) (neg.f64 b))
	48.8b	(*.f64 (/.f64 1 (hypot.f64 c d)) a)
	38.8b	(+.f64 (/.f64 a c) (.f64 (.f64 (neg.f64 d) (/.f64 1 (.f64 c (neg.f64 c)))) (-.f64 b (/.f64 (.f64 d a) c))))
▶	34.8b	(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
	44.1b	(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (hypot.f64 c d))
	60.9b	(+.f64 (/.f64 b c) (/.f64 a d))
	58.6b	(*.f64 (/.f64 1 c) (neg.f64 a))
	33.6b	(.f64 d (.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 b (hypot.f64 d c))))
	58.6b	(/.f64 (neg.f64 a) c)
	54.8b	(.f64 (/.f64 1 (hypot.f64 c d)) (.f64 (/.f64 a d) c))
	58.7b	(*.f64 (/.f64 -1 d) (neg.f64 a))
	47.8b	(/.f64 (/.f64 (.f64 (.f64 c a) (.f64 c (neg.f64 a))) (-.f64 (.f64 b d) (.f64 a c))) (+.f64 (.f64 c c) (*.f64 d d)))
▶	52.6b	(*.f64 b (/.f64 (/.f64 d c) c))
	52.6b	(/.f64 b (*.f64 (/.f64 c d) c))

Compiler

Compiled 936 to 594 computations (36.5% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 b (hypot.f64 d c))
✓	0.0b	(/.f64 d (hypot.f64 d c))
✓	1.1b	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))

Compiler

Compiled 31 to 8 computations (74.2% saved)

series19.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

987×	`pow1_binary64`
913×	`add-log-exp_binary64`
913×	`log1p-expm1-u_binary64`
913×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	174	27
2	2490	27

Stop Event

1×	node limit

Counts

3 → 111

Calls

Call 1

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

Outputs

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

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

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

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

752×	`associate-/r*_binary64`
399×	`fma-def_binary64`
346×	`distribute-rgt-in_binary64`
340×	`distribute-lft-in_binary64`
220×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	3084
1	1031	2760
2	4231	2553

Stop Event

1×	node limit

Counts

207 → 210

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 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 4) b)) (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (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 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 4) b)) (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) b)) (pow.f64 d 5))) (+.f64 (/.f64 b d) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (.f64 (pow.f64 c 2) b))) (+.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 c 6)) (.f64 1/8 (pow.f64 c 6))) b) (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (.f64 (pow.f64 c 4) b)) (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) b)))))) (pow.f64 d 7))))))
(/.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 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 4) b)) (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (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 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 4) b)) (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) b)) (pow.f64 d 5))) (+.f64 (/.f64 b d) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 c 6)) (.f64 1/8 (pow.f64 c 6))) b) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (.f64 (pow.f64 c 2) b))) (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (.f64 (pow.f64 c 4) b)) (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) b)))))) (pow.f64 d 7))))))
(/.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 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 d 5) b)) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (.f64 d 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 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (.f64 (pow.f64 d 3) b))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 d 5) b)) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (.f64 d b))) (pow.f64 d 2))) (.f64 (+.f64 (.f64 -1/8 (pow.f64 d 6)) (.f64 1/8 (pow.f64 d 6))) (.f64 d b)))) (pow.f64 c 8))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 d 5) b)) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (.f64 d 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 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 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 d 5) b)) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (.f64 d 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 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (.f64 (pow.f64 d 3) b))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 d 5) b)) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (.f64 d b))) (pow.f64 d 2))) (.f64 (+.f64 (.f64 -1/8 (pow.f64 d 6)) (.f64 1/8 (pow.f64 d 6))) (.f64 d b)))) (pow.f64 c 8))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 d 5) b)) (.f64 (+.f64 (.f64 1/4 (pow.f64 d 4)) (.f64 -1/4 (pow.f64 d 4))) (.f64 d 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 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 d c)
(+.f64 (/.f64 d c) (*.f64 -1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3))))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 d 5) (pow.f64 c 5))) (+.f64 (/.f64 d c) (.f64 -1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3)))))
(+.f64 (.f64 -5/16 (/.f64 (pow.f64 d 7) (pow.f64 c 7))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 d 5) (pow.f64 c 5))) (+.f64 (/.f64 d c) (*.f64 -1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3))))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 4)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))))) (.f64 1/8 (pow.f64 c 6))) (pow.f64 d 6))) (+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 4))))))
-1
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 2))) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 2))) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 c 4)) (.f64 1/8 (pow.f64 c 4))) (pow.f64 d 4)))) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 c 6)) (.f64 -1/2 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/4 (pow.f64 c 4)) (.f64 1/8 (pow.f64 c 4)))))) (pow.f64 d 6))) (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (pow.f64 c 4)) (.f64 1/8 (pow.f64 c 4))) (pow.f64 d 4))))) 1)
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 2))) (.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 4)))))
(+.f64 (.f64 -5/16 (/.f64 (pow.f64 c 6) (pow.f64 d 6))) (+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 2))) (*.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 4))))))
(/.f64 d c)
(+.f64 (/.f64 d c) (*.f64 -1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3))))
(+.f64 (/.f64 d c) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 d 5)) (.f64 -1/4 (pow.f64 d 5))) (pow.f64 c 5)))))
(+.f64 (/.f64 d c) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (pow.f64 d 7)) (.f64 -1/2 (.f64 (+.f64 (.f64 -1/8 (pow.f64 d 5)) (.f64 -1/4 (pow.f64 d 5))) (pow.f64 d 2)))) (pow.f64 c 7))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 d 5)) (.f64 -1/4 (pow.f64 d 5))) (pow.f64 c 5))))))
(*.f64 -1 (/.f64 d c))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (.f64 -1 (/.f64 d c)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 d 5) (pow.f64 c 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 5) (pow.f64 c 5))) (.f64 -1 (/.f64 d c)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 d 5) (pow.f64 c 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 d 3) (pow.f64 c 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 d 5) (pow.f64 c 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 d 5)) (.f64 -1/4 (pow.f64 d 5))) (pow.f64 d 2)) (pow.f64 c 7))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 d 7) (pow.f64 c 7))) (*.f64 -1 (/.f64 d c)))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 d 2) (pow.f64 c 2)))) b)
(/.f64 b c)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (/.f64 b c) (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (/.f64 b (pow.f64 c 5))) (.f64 -1/4 (/.f64 b (pow.f64 c 5)))) (pow.f64 d 4)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 d 6) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/8 (/.f64 b (pow.f64 c 5))) (.f64 -1/4 (/.f64 b (pow.f64 c 5)))) (pow.f64 c 2))) (.f64 1/8 (/.f64 b (pow.f64 c 7)))))) (+.f64 (/.f64 b c) (.f64 -1 (.f64 (+.f64 (.f64 -1/8 (/.f64 b (pow.f64 c 5))) (.f64 -1/4 (/.f64 b (pow.f64 c 5)))) (pow.f64 d 4))))))
(/.f64 b d)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (.f64 -1/8 (.f64 (pow.f64 c 4) b))) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (.f64 -1/8 (.f64 (pow.f64 c 4) b))) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 c 6) b)) (.f64 -1/2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (.f64 -1/8 (.f64 (pow.f64 c 4) b)))))) (pow.f64 d 7))) (/.f64 b d))))
(*.f64 -1 (/.f64 b d))
(+.f64 (.f64 -1 (/.f64 b d)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 c 2) b) (pow.f64 d 3))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 4) b) (pow.f64 d 5))) (+.f64 (.f64 -1 (/.f64 b d)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 4) b) (pow.f64 d 5))) (+.f64 (.f64 -1 (/.f64 b d)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 4) b) (pow.f64 d 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 4) b)) (.f64 -1/8 (.f64 (pow.f64 c 4) b)))) (pow.f64 d 7))) (.f64 1/8 (/.f64 (*.f64 (pow.f64 c 6) b) (pow.f64 d 7))))))))
(/.f64 b d)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(+.f64 (.f64 -1 (.f64 (pow.f64 c 4) (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 5))) (.f64 -1/8 (/.f64 b (pow.f64 d 5)))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d)))
(+.f64 (.f64 -1 (.f64 (pow.f64 c 4) (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 5))) (.f64 -1/8 (/.f64 b (pow.f64 d 5)))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 c 6) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 5))) (.f64 -1/8 (/.f64 b (pow.f64 d 5)))) (pow.f64 d 2))) (.f64 1/8 (/.f64 b (pow.f64 d 7)))))) (/.f64 b d))))
(/.f64 b c)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (/.f64 b c) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 d 4) b)) (.f64 -1/8 (*.f64 (pow.f64 d 4) b))) (pow.f64 c 5)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 d 4) b)) (.f64 -1/8 (.f64 (pow.f64 d 4) b))))) (.f64 1/8 (.f64 (pow.f64 d 6) b))) (pow.f64 c 7))) (+.f64 (/.f64 b c) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 d 4) b)) (.f64 -1/8 (.f64 (pow.f64 d 4) b))) (pow.f64 c 5))))))
(*.f64 -1 (/.f64 b c))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (*.f64 -1 (/.f64 b c)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 d 4) b) (pow.f64 c 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 b c)) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 d 4) b) (pow.f64 c 5))))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 d 4) b) (pow.f64 c 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 d 6) b) (pow.f64 c 7))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 b c)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 d 4) b)) (.f64 -1/8 (.f64 (pow.f64 d 4) b))) (pow.f64 d 2)) (pow.f64 c 7))) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 d 4) b) (pow.f64 c 5))))))))

Outputs
(/.f64 (*.f64 d b) (pow.f64 c 2))
(/.f64 d (/.f64 (*.f64 c c) b))
(.f64 (/.f64 d (.f64 c c)) b)
(*.f64 (/.f64 d c) (/.f64 b 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 d (/.f64 (*.f64 c c) b)))
(-.f64 (.f64 (/.f64 d (.f64 c c)) b) (*.f64 (/.f64 (pow.f64 d 3) (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 d (/.f64 (*.f64 c c) b))) (/.f64 (pow.f64 d 5) (/.f64 (pow.f64 c 6) b)))
(+.f64 (.f64 (/.f64 d (.f64 c c)) b) (-.f64 (.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) b) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b)))
(+.f64 (.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 (/.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 (pow.f64 d 5) (/.f64 (pow.f64 c 6) b)) (fma.f64 -1 (/.f64 (pow.f64 d 7) (/.f64 (pow.f64 c 8) b)) (fma.f64 -1 (/.f64 (pow.f64 d 3) (/.f64 (pow.f64 c 4) b)) (/.f64 d (/.f64 (*.f64 c c) b)))))
(+.f64 (-.f64 (.f64 (/.f64 d (.f64 c c)) b) (.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) b)) (-.f64 (.f64 (/.f64 (pow.f64 d 5) (pow.f64 c 6)) b) (*.f64 (/.f64 (pow.f64 d 7) (pow.f64 c 8)) b)))
(+.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 d)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (/.f64 b d))
(fma.f64 -1 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) (/.f64 b d))
(-.f64 (/.f64 b d) (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)))
(-.f64 (/.f64 b d) (.f64 (/.f64 b (pow.f64 d 3)) (.f64 c c)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 4) b)) (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) b)) (pow.f64 d 5))) (/.f64 b d)))
(fma.f64 -1 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) (fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 b (pow.f64 c 4)) (.f64 b (*.f64 (pow.f64 c 4) 0))) (pow.f64 d 5)) (/.f64 b d)))
(-.f64 (-.f64 (/.f64 b d) (/.f64 (.f64 b (+.f64 (neg.f64 (pow.f64 c 4)) 0)) (pow.f64 d 5))) (/.f64 (.f64 b (*.f64 c c)) (pow.f64 d 3)))
(-.f64 (/.f64 b d) (+.f64 (.f64 (/.f64 b (pow.f64 d 3)) (.f64 c c)) (/.f64 (*.f64 (pow.f64 c 4) (neg.f64 b)) (pow.f64 d 5))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 4) b)) (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) b)) (pow.f64 d 5))) (+.f64 (/.f64 b d) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (.f64 (pow.f64 c 2) b))) (+.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 c 6)) (.f64 1/8 (pow.f64 c 6))) b) (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (.f64 (pow.f64 c 4) b)) (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) b)))))) (pow.f64 d 7))))))
(fma.f64 -1 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) (+.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 b (pow.f64 c 4)) (.f64 b (.f64 (pow.f64 c 4) 0))) (pow.f64 d 5)) (/.f64 b d)) (neg.f64 (/.f64 (fma.f64 -1 (.f64 (.f64 b (.f64 c c)) (.f64 (pow.f64 c 4) 0)) (fma.f64 (.f64 (pow.f64 c 6) 0) b (neg.f64 (.f64 (.f64 c c) (fma.f64 -1 (.f64 b (pow.f64 c 4)) (.f64 b (*.f64 (pow.f64 c 4) 0))))))) (pow.f64 d 7)))))
(-.f64 (-.f64 (-.f64 (/.f64 b d) (/.f64 (.f64 b (+.f64 (neg.f64 (pow.f64 c 4)) 0)) (pow.f64 d 5))) (/.f64 (fma.f64 b 0 (fma.f64 (neg.f64 (.f64 c c)) (.f64 b (+.f64 (neg.f64 (pow.f64 c 4)) 0)) (.f64 b (.f64 (.f64 c c) 0)))) (pow.f64 d 7))) (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)))
(+.f64 (-.f64 (/.f64 b d) (/.f64 (.f64 (pow.f64 c 4) (neg.f64 b)) (pow.f64 d 5))) (neg.f64 (.f64 b (+.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) (/.f64 (pow.f64 c 6) (pow.f64 d 7))))))
(/.f64 b d)
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(fma.f64 -1 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) (/.f64 b d))
(-.f64 (/.f64 b d) (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)))
(-.f64 (/.f64 b d) (.f64 (/.f64 b (pow.f64 d 3)) (.f64 c c)))
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(fma.f64 -1 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) (fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 b (pow.f64 c 4)) (.f64 b (*.f64 (pow.f64 c 4) 0))) (pow.f64 d 5)) (/.f64 b d)))
(-.f64 (-.f64 (/.f64 b d) (/.f64 (.f64 b (+.f64 (neg.f64 (pow.f64 c 4)) 0)) (pow.f64 d 5))) (/.f64 (.f64 b (*.f64 c c)) (pow.f64 d 3)))
(-.f64 (/.f64 b d) (+.f64 (.f64 (/.f64 b (pow.f64 d 3)) (.f64 c c)) (/.f64 (*.f64 (pow.f64 c 4) (neg.f64 b)) (pow.f64 d 5))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 4) b)) (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) b)) (pow.f64 d 5))) (+.f64 (/.f64 b d) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 c 6)) (.f64 1/8 (pow.f64 c 6))) b) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) (.f64 (pow.f64 c 2) b))) (.f64 -1 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (.f64 (pow.f64 c 4) b)) (.f64 (+.f64 (.f64 -1/4 (pow.f64 c 4)) (.f64 1/4 (pow.f64 c 4))) b)))))) (pow.f64 d 7))))))
(fma.f64 -1 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) (+.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 b (pow.f64 c 4)) (.f64 b (.f64 (pow.f64 c 4) 0))) (pow.f64 d 5)) (/.f64 b d)) (neg.f64 (/.f64 (fma.f64 -1 (.f64 (.f64 b (.f64 c c)) (.f64 (pow.f64 c 4) 0)) (fma.f64 (.f64 (pow.f64 c 6) 0) b (neg.f64 (.f64 (.f64 c c) (fma.f64 -1 (.f64 b (pow.f64 c 4)) (.f64 b (*.f64 (pow.f64 c 4) 0))))))) (pow.f64 d 7)))))
(-.f64 (-.f64 (-.f64 (/.f64 b d) (/.f64 (.f64 b (+.f64 (neg.f64 (pow.f64 c 4)) 0)) (pow.f64 d 5))) (/.f64 (fma.f64 b 0 (fma.f64 (neg.f64 (.f64 c c)) (.f64 b (+.f64 (neg.f64 (pow.f64 c 4)) 0)) (.f64 b (.f64 (.f64 c c) 0)))) (pow.f64 d 7))) (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)))
(+.f64 (-.f64 (/.f64 b d) (/.f64 (.f64 (pow.f64 c 4) (neg.f64 b)) (pow.f64 d 5))) (neg.f64 (.f64 b (+.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) (/.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 b (.f64 c c)) (pow.f64 d 3)) (/.f64 b d))
(-.f64 (/.f64 b d) (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)))
(-.f64 (/.f64 b d) (.f64 (/.f64 b (pow.f64 d 3)) (.f64 c c)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5))))
(+.f64 (fma.f64 -1 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) (/.f64 b d)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) b)))
(+.f64 (-.f64 (/.f64 b d) (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3))) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) b))
(+.f64 (/.f64 b d) (-.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) b)) (.f64 (/.f64 b (pow.f64 d 3)) (.f64 c c))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 6) b) (pow.f64 d 7))) (+.f64 (/.f64 b d) (/.f64 (*.f64 (pow.f64 c 4) b) (pow.f64 d 5)))))
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(-.f64 (fma.f64 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) -1/2 (/.f64 b d)) (/.f64 (*.f64 b (pow.f64 c 4)) (/.f64 (pow.f64 d 5) -3/8)))
(+.f64 (fma.f64 (.f64 (/.f64 b (pow.f64 d 3)) (.f64 c c)) -1/2 (/.f64 b d)) (.f64 (.f64 (pow.f64 c 4) (/.f64 b (pow.f64 d 5))) 3/8))
(+.f64 (.f64 -1 (.f64 (pow.f64 c 4) (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 5))) (.f64 -1/8 (/.f64 b (pow.f64 d 5)))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) b) (pow.f64 d 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 c 6) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 b (pow.f64 d 5))) (.f64 -1/8 (/.f64 b (pow.f64 d 5)))) (pow.f64 d 2))) (.f64 1/8 (/.f64 b (pow.f64 d 7)))))) (/.f64 b d))))
(fma.f64 -1 (.f64 (pow.f64 c 4) (.f64 (/.f64 b (pow.f64 d 5)) -3/8)) (fma.f64 -1/2 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) (fma.f64 -1 (.f64 (pow.f64 c 6) (fma.f64 -1/2 (/.f64 (.f64 (/.f64 b (pow.f64 d 5)) -3/8) (.f64 d d)) (.f64 1/8 (/.f64 b (pow.f64 d 7))))) (/.f64 b d))))
(-.f64 (fma.f64 (/.f64 (.f64 b (.f64 c c)) (pow.f64 d 3)) -1/2 (-.f64 (/.f64 b d) (.f64 (pow.f64 c 6) (fma.f64 -1/2 (/.f64 (/.f64 (.f64 b -3/8) (pow.f64 d 5)) (.f64 d d)) (.f64 1/8 (/.f64 b (pow.f64 d 7))))))) (.f64 (pow.f64 c 4) (/.f64 (.f64 b -3/8) (pow.f64 d 5))))
(-.f64 (+.f64 (fma.f64 (.f64 (/.f64 b (pow.f64 d 3)) (.f64 c c)) -1/2 (/.f64 b d)) (.f64 (.f64 (pow.f64 c 4) (/.f64 b (pow.f64 d 5))) 3/8)) (.f64 (pow.f64 c 6) (fma.f64 1/8 (/.f64 b (pow.f64 d 7)) (.f64 (/.f64 -1/2 d) (/.f64 (/.f64 (*.f64 b -3/8) (pow.f64 d 5)) d)))))
(/.f64 b c)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))
(fma.f64 -1/2 (/.f64 (*.f64 d d) (/.f64 (pow.f64 c 3) b)) (/.f64 b c))
(fma.f64 -1/2 (/.f64 (.f64 b (.f64 d d)) (pow.f64 c 3)) (/.f64 b c))
(fma.f64 -1/2 (.f64 (/.f64 b (pow.f64 c 3)) (.f64 d d)) (/.f64 b c))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (/.f64 b c) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 d 4) b)) (.f64 -1/8 (*.f64 (pow.f64 d 4) b))) (pow.f64 c 5)))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 d d) (/.f64 (pow.f64 c 3) b)) (/.f64 b c)) (neg.f64 (/.f64 (.f64 (*.f64 b (pow.f64 d 4)) -3/8) (pow.f64 c 5))))
(-.f64 (fma.f64 -1/2 (/.f64 (.f64 b (.f64 d d)) (pow.f64 c 3)) (/.f64 b c)) (/.f64 (*.f64 b (pow.f64 d 4)) (/.f64 (pow.f64 c 5) -3/8)))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 b (pow.f64 c 3)) (.f64 d d)) (/.f64 b c)) (/.f64 (.f64 3/8 (.f64 b (pow.f64 d 4))) (pow.f64 c 5)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 d 4) b)) (.f64 -1/8 (.f64 (pow.f64 d 4) b))))) (.f64 1/8 (.f64 (pow.f64 d 6) b))) (pow.f64 c 7))) (+.f64 (/.f64 b c) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 d 4) b)) (.f64 -1/8 (.f64 (pow.f64 d 4) b))) (pow.f64 c 5))))))
(fma.f64 -1/2 (/.f64 (.f64 d d) (/.f64 (pow.f64 c 3) b)) (fma.f64 -1 (/.f64 (fma.f64 -1/2 (.f64 (.f64 d d) (.f64 (.f64 b (pow.f64 d 4)) -3/8)) (.f64 (.f64 1/8 (pow.f64 d 6)) b)) (pow.f64 c 7)) (+.f64 (/.f64 b c) (neg.f64 (/.f64 (.f64 (*.f64 b (pow.f64 d 4)) -3/8) (pow.f64 c 5))))))
(fma.f64 -1/2 (/.f64 (.f64 b (.f64 d d)) (pow.f64 c 3)) (-.f64 (-.f64 (/.f64 b c) (/.f64 (.f64 b (pow.f64 d 4)) (/.f64 (pow.f64 c 5) -3/8))) (/.f64 (fma.f64 -1/2 (.f64 d (.f64 d (.f64 b (.f64 (pow.f64 d 4) -3/8)))) (.f64 b (*.f64 1/8 (pow.f64 d 6)))) (pow.f64 c 7))))
(-.f64 (+.f64 (fma.f64 -1/2 (.f64 (/.f64 b (pow.f64 c 3)) (.f64 d d)) (/.f64 b c)) (/.f64 (.f64 3/8 (.f64 b (pow.f64 d 4))) (pow.f64 c 5))) (/.f64 (fma.f64 -1/2 (.f64 d (.f64 d (.f64 b (.f64 (pow.f64 d 4) -3/8)))) (.f64 b (.f64 1/8 (pow.f64 d 6)))) (pow.f64 c 7)))
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (*.f64 -1 (/.f64 b c)))
(fma.f64 1/2 (/.f64 (*.f64 d d) (/.f64 (pow.f64 c 3) b)) (neg.f64 (/.f64 b c)))
(-.f64 (.f64 1/2 (/.f64 (.f64 b (*.f64 d d)) (pow.f64 c 3))) (/.f64 b c))
(-.f64 (.f64 1/2 (.f64 (/.f64 b (pow.f64 c 3)) (*.f64 d d))) (/.f64 b c))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 d 4) b) (pow.f64 c 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 b c)) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 d 4) b) (pow.f64 c 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 d 4) (/.f64 (pow.f64 c 5) b)) (fma.f64 1/2 (/.f64 (.f64 d d) (/.f64 (pow.f64 c 3) b)) (fma.f64 -1 (/.f64 b c) (.f64 -1/4 (/.f64 (pow.f64 d 4) (/.f64 (pow.f64 c 5) b))))))
(fma.f64 -1/8 (.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) b) (fma.f64 1/2 (/.f64 (.f64 b (.f64 d d)) (pow.f64 c 3)) (-.f64 (.f64 -1/4 (*.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) b)) (/.f64 b c))))
(+.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 b (pow.f64 c 3)) (.f64 d d))) (/.f64 b c)) (.f64 (*.f64 (/.f64 b (pow.f64 c 5)) (pow.f64 d 4)) -3/8))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 d 4) b) (pow.f64 c 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 d 6) b) (pow.f64 c 7))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (+.f64 (.f64 -1 (/.f64 b c)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 d 4) b)) (.f64 -1/8 (.f64 (pow.f64 d 4) b))) (pow.f64 d 2)) (pow.f64 c 7))) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 d 4) b) (pow.f64 c 5))))))))
(fma.f64 -1/8 (/.f64 (pow.f64 d 4) (/.f64 (pow.f64 c 5) b)) (fma.f64 1/8 (/.f64 (pow.f64 d 6) (/.f64 (pow.f64 c 7) b)) (fma.f64 1/2 (/.f64 (.f64 d d) (/.f64 (pow.f64 c 3) b)) (fma.f64 -1 (/.f64 b c) (fma.f64 -1/2 (/.f64 (.f64 (.f64 b (pow.f64 d 4)) -3/8) (/.f64 (pow.f64 c 7) (.f64 d d))) (*.f64 -1/4 (/.f64 (pow.f64 d 4) (/.f64 (pow.f64 c 5) b))))))))
(fma.f64 -1/8 (.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) b) (fma.f64 1/8 (.f64 (/.f64 (pow.f64 d 6) (pow.f64 c 7)) b) (fma.f64 1/2 (/.f64 (.f64 b (.f64 d d)) (pow.f64 c 3)) (-.f64 (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) b) (.f64 -1/2 (/.f64 (.f64 b (pow.f64 d 4)) (/.f64 (/.f64 (pow.f64 c 7) (.f64 d d)) -3/8)))) (/.f64 b c)))))
(fma.f64 -1/8 (.f64 (/.f64 b (pow.f64 c 5)) (pow.f64 d 4)) (fma.f64 1/8 (/.f64 b (/.f64 (pow.f64 c 7) (pow.f64 d 6))) (fma.f64 1/2 (.f64 (/.f64 b (pow.f64 c 3)) (.f64 d d)) (-.f64 (fma.f64 -1/4 (.f64 (/.f64 b (pow.f64 c 5)) (pow.f64 d 4)) (.f64 -1/2 (/.f64 (.f64 b (.f64 (pow.f64 d 4) -3/8)) (/.f64 (pow.f64 c 7) (.f64 d d))))) (/.f64 b c)))))

localize4.0ms (0%)

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 d c) c)
✓	7.6b	(*.f64 b (/.f64 (/.f64 d c) c))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series6.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`pow1_binary64`
800×	`add-log-exp_binary64`
800×	`log1p-expm1-u_binary64`
800×	`expm1-log1p-u_binary64`
782×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	150	17
2	2140	17

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

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

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

simplify120.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

942×	`associate-/r/_binary64`
608×	`times-frac_binary64`
551×	`associate-/l/_binary64`
465×	`sqr-pow_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	528
1	17	528
2	35	528
3	77	528
4	218	528
5	812	528
6	3772	528
7	4784	528
8	4948	528
9	5161	528
10	5381	528
11	5703	528
12	7043	528
13	7532	528

Stop Event

1×	node limit

Counts

121 → 65

Calls

Call 1

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

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

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.5b	(/.f64 (*.f64 b c) d)
✓	5.6b	(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
✓	6.3b	(.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a))
✓	7.3b	(/.f64 c (*.f64 d d))

Compiler

Compiled 64 to 12 computations (81.3% saved)

series59.0ms (0.3%)

Counts

4 → 156

Calls

39 calls:

Time	Variable		Point	Expression
22.0ms	a	@	inf	(.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a))
4.0ms	c	@	inf	(-.f64 (/.f64 b d) (.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a)))
3.0ms	c	@	0	(.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a))
2.0ms	a	@	0	(.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a))
2.0ms	d	@	0	(.f64 (/.f64 c (.f64 d d)) (-.f64 (/.f64 (*.f64 b c) d) a))

rewrite135.0ms (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	4923	58

Stop Event

1×	node limit

Counts

4 → 256

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 c (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (pow.f64 d -2))) (cbrt.f64 (pow.f64 (exp.f64 c) (pow.f64 d -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c) (pow.f64 d -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (pow.f64 d -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c) (pow.f64 d -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 c (pow.f64 d -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 c (pow.f64 d -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 c (pow.f64 d -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 c (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 c (pow.f64 d -2))) (pow.f64 (cbrt.f64 (.f64 c (pow.f64 d -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 c (pow.f64 d -2))) 2) (cbrt.f64 (.f64 c (pow.f64 d -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 c) 2) (.f64 (cbrt.f64 c) (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 c) d) (/.f64 (sqrt.f64 c) d))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 c) (/.f64 1 (.f64 d (neg.f64 d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 d -2) c)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 d) (/.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c d) (/.f64 1 d))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) (.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) (.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) d) (/.f64 (cbrt.f64 c) d))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 d 4))) (/.f64 c (pow.f64 (cbrt.f64 d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 (pow.f64 d 4))) (cbrt.f64 (.f64 c (pow.f64 d -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 c) (cbrt.f64 (pow.f64 d 4))) (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 d) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 c (pow.f64 d -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 c (pow.f64 d -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 c (pow.f64 d -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 c) d) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 d (/.f64 c d)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c (.f64 d (neg.f64 d))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (.f64 c c) (pow.f64 d 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c) (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 c (pow.f64 d -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 c (pow.f64 d -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c 3) (pow.f64 (.f64 d d) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 c (pow.f64 d -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 c (pow.f64 d -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 c (pow.f64 d -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 c (pow.f64 d -2))) 1))))))
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simplify93.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

935×	`fma-def_binary64`
637×	`associate-/l*_binary64`
385×	`fma-neg_binary64`
381×	`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	986	2247
4	5078	2187

Stop Event

1×	node limit

Counts

412 → 284

Calls

Call 1

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.4b	(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
✓	18.8b	(/.f64 d (fma.f64 d d (*.f64 c c)))

Compiler

Compiled 34 to 8 computations (76.5% saved)

series6.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite66.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

857×	`pow1_binary64`
790×	`add-log-exp_binary64`
790×	`log1p-expm1-u_binary64`
790×	`expm1-log1p-u_binary64`
770×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	165	23
2	2156	23

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify84.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

681×	`associate-/l/_binary64`
538×	`associate-/r/_binary64`
532×	`sub-neg_binary64`
392×	`times-frac_binary64`
386×	`div-sub_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	1515
1	215	1440
2	698	1377
3	3394	1362
4	6910	1347

Stop Event

1×	node limit

Counts

114 → 86

Calls

Call 1

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

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

eval271.0ms (1.5%)

Compiler: Compiled 15219 to 6474 computations (57.5% saved)

prune162.0ms (0.9%)

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	636	9	645
Fresh	15	12	27
Picked	0	1	1
Done	2	6	8
Total	653	28	681

Error

0.2b

Counts

681 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	53.3b	(/.f64 (.f64 d b) (.f64 c c))
	58.0b	(/.f64 (neg.f64 b) d)
✓	34.9b	(/.f64 b d)
✓	36.9b	(.f64 (/.f64 d (fma.f64 d d (.f64 c c))) b)
	36.7b	(+.f64 (/.f64 a c) (/.f64 (/.f64 (.f64 d (-.f64 b (.f64 d (/.f64 a c)))) c) c))
	41.3b	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	58.7b	(*.f64 (/.f64 -1 d) (neg.f64 a))
	53.7b	(.f64 c (/.f64 a (.f64 d d)))
	53.1b	(.f64 b (.f64 d (/.f64 1 (*.f64 c c))))
✓	38.6b	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	35.0b	(*.f64 (/.f64 1 d) b)
✓	52.6b	(*.f64 b (/.f64 (/.f64 d c) c))
	58.7b	(/.f64 (neg.f64 a) d)
	58.7b	(*.f64 (/.f64 1 d) (neg.f64 a))
	51.4b	(*.f64 (/.f64 d c) (/.f64 b c))
	28.5b	(-.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 (neg.f64 c) d)))
	51.4b	(/.f64 1 (/.f64 c (*.f64 b (/.f64 d c))))
	52.6b	(/.f64 b (*.f64 (/.f64 c d) c))
✓	42.1b	(/.f64 a c)
✓	58.7b	(/.f64 a d)
✓	24.7b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
	40.7b	(.f64 (/.f64 c (fma.f64 d d (.f64 c c))) a)
	58.6b	(*.f64 (/.f64 1 c) (neg.f64 a))
	58.6b	(/.f64 (neg.f64 a) c)
	30.6b	(-.f64 (/.f64 b d) (/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) (/.f64 d (/.f64 c d))))
	30.8b	(.f64 (/.f64 1 d) (+.f64 b (/.f64 (.f64 c a) d)))
	28.5b	(-.f64 (/.f64 b d) (/.f64 (.f64 (/.f64 c d) (-.f64 (.f64 c (/.f64 b d)) a)) d))
	44.1b	(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (hypot.f64 c d))

Compiler

Compiled 351 to 224 computations (36.2% saved)

regimes670.0ms (3.8%)

Counts

66 → 5

Calls

Call 1

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

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 (/.f64 d c) (-.f64 b (.f64 d (/.f64 a 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 (neg.f64 c) d)))

Calls

5 calls:

177.0ms	c
170.0ms	a
164.0ms	d
94.0ms	b
45.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
10.6b	5	`a`
12.2b	3	`b`
9.5b	5	`c`
5.3b	5	`d`
7.7b	2	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 807 to 248 computations (69.3% saved)

bsearch72.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
21.0ms	8.284516120883395e+80	1.541780020019267e+82
14.0ms	2.986187007477861e-247	8.075073030055008e-236
13.0ms	-5.464681416648754e-168	-1.0018651659373714e-175
23.0ms	-1.6483411845380726e+80	-9.704618554212657e+57

Compiler

Compiled 108 to 61 computations (43.5% saved)

regimes1.4s (7.8%)

Counts

58 → 5

Calls

Call 1

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

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

Calls

5 calls:

450.0ms	a
326.0ms	b
251.0ms	d
232.0ms	c
99.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
14.0b	5	`a`
16.2b	3	`b`
11.8b	5	`c`
7.3b	5	`d`
9.5b	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 666 to 216 computations (67.6% saved)

bsearch228.0ms (1.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
50.0ms	3.5751383169809345e+78	1.39528144790699e+80
41.0ms	1.0576790863064915e-132	2.6297195936575324e-132
89.0ms	-2.041012913590577e-80	-6.357750131897032e-92
47.0ms	-1.6483411845380726e+80	-9.704618554212657e+57

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes2.0s (11.4%)

Counts

53 → 5

Calls

Call 1

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

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

Calls

5 calls:

661.0ms	a
344.0ms	c
340.0ms	b
335.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
262.0ms	d

Results

Error	Segments	Branch
17.0b	7	`a`
15.1b	10	`b`
11.8b	5	`c`
7.3b	5	`d`
11.9b	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 591 to 195 computations (67% saved)

bsearch191.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
54.0ms	3.5751383169809345e+78	1.39528144790699e+80
27.0ms	1.0576790863064915e-132	2.6297195936575324e-132
65.0ms	-2.041012913590577e-80	-6.357750131897032e-92
46.0ms	-1.6483411845380726e+80	-9.704618554212657e+57

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes857.0ms (4.9%)

Counts

30 → 5

Calls

Call 1

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

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

Calls

5 calls:

314.0ms	b
234.0ms	a
106.0ms	c
106.0ms	d
89.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Error	Segments	Branch
18.1b	5	`a`
15.7b	10	`b`
12.9b	5	`c`
7.3b	5	`d`
11.9b	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 282 to 111 computations (60.6% saved)

bsearch504.0ms (2.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
202.0ms	3.5751383169809345e+78	1.39528144790699e+80
43.0ms	1.0576790863064915e-132	2.6297195936575324e-132
187.0ms	-2.041012913590577e-80	-6.357750131897032e-92
72.0ms	-1.6483411845380726e+80	-9.704618554212657e+57

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes668.0ms (3.8%)

Counts

29 → 5

Calls

Call 1

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

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

Calls

5 calls:

239.0ms	b
124.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
121.0ms	c
102.0ms	d
70.0ms	a

Results

Error	Segments	Branch
18.1b	5	`a`
18.4b	9	`b`
13.5b	5	`c`
9.1b	5	`d`
11.9b	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 265 to 105 computations (60.4% saved)

bsearch371.0ms (2.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
60.0ms	3.5751383169809345e+78	1.39528144790699e+80
187.0ms	6.842927777886194e-206	4.214945050720071e-193
99.0ms	-1.4321406097897165e-204	-6.832291887027639e-205
24.0ms	-1.6483411845380726e+80	-9.704618554212657e+57

Compiler

Compiled 446 to 287 computations (35.7% saved)

regimes511.0ms (2.9%)

Counts

26 → 9

Calls

Call 1

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

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

Calls

4 calls:

170.0ms	c
144.0ms	a
94.0ms	d
93.0ms	b

Results

Error	Segments	Branch
21.6b	10	`a`
22.4b	7	`b`
15.2b	9	`c`
15.6b	4	`d`

Compiler

Compiled 197 to 82 computations (58.4% saved)

bsearch313.0ms (1.8%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
23.0ms	4.9522731660807546e+101	4.520765163689145e+103
23.0ms	4.395899517888614e+31	1.3918546362905407e+35
23.0ms	1.765362979944965e-13	2.735828233196281e-7
24.0ms	8.402121517608031e-75	8.8377304889635e-73
146.0ms	-6.248608144113781e-137	-3.6327082800593585e-138
23.0ms	-1.5321459026106533e-75	-1.400291648401049e-92
23.0ms	-3.474451949234269e+55	-1.0509884857975194e+49
26.0ms	-2.0955419659833187e+99	-1.64696214424245e+94

Compiler

Compiled 250 to 164 computations (34.4% saved)

regimes453.0ms (2.6%)

Counts

25 → 9

Calls

Call 1

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

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

Calls

4 calls:

171.0ms	a
121.0ms	c
95.0ms	b
60.0ms	d

Results

Error	Segments	Branch
23.4b	10	`a`
22.2b	9	`b`
15.7b	9	`c`
18.3b	4	`d`

Compiler

Compiled 185 to 78 computations (57.8% saved)

bsearch464.0ms (2.6%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
21.0ms	4.9522731660807546e+101	4.520765163689145e+103
23.0ms	4.395899517888614e+31	1.3918546362905407e+35
21.0ms	1.765362979944965e-13	2.735828233196281e-7
35.0ms	8.402121517608031e-75	8.8377304889635e-73
277.0ms	-6.248608144113781e-137	-3.6327082800593585e-138
23.0ms	-1.5321459026106533e-75	-1.400291648401049e-92
40.0ms	-3.474451949234269e+55	-1.0509884857975194e+49
23.0ms	-2.0955419659833187e+99	-1.64696214424245e+94

Compiler

Compiled 250 to 164 computations (34.4% saved)

regimes420.0ms (2.4%)

Counts

24 → 8

Calls

Call 1

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

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

Calls

4 calls:

148.0ms	b
106.0ms	c
104.0ms	a
57.0ms	d

Results

Error	Segments	Branch
23.4b	10	`a`
22.0b	13	`b`
17.0b	8	`c`
18.3b	4	`d`

Compiler

Compiled 174 to 77 computations (55.7% saved)

bsearch273.0ms (1.6%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
23.0ms	8.43042049547238e+95	1.5266955243336797e+99
22.0ms	9.046285168634949e+51	4.083071122517109e+54
22.0ms	2.735828233196281e-7	0.1182097255834097
136.0ms	-6.248608144113781e-137	-3.6327082800593585e-138
22.0ms	-1.5321459026106533e-75	-1.400291648401049e-92
24.0ms	-3.474451949234269e+55	-1.0509884857975194e+49
23.0ms	-2.0955419659833187e+99	-1.64696214424245e+94

Compiler

Compiled 250 to 164 computations (34.4% saved)

regimes316.0ms (1.8%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

4 calls:

139.0ms	b
76.0ms	a
52.0ms	c
43.0ms	d

Results

Error	Segments	Branch
26.4b	7	`a`
22.0b	13	`b`
20.0b	4	`c`
19.7b	3	`d`

Compiler

Compiled 163 to 75 computations (54% saved)

bsearch45.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	7.089272260876135e-58	1.6505994140378458e-49
23.0ms	-2.041012913590577e-80	-6.357750131897032e-92

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes224.0ms (1.3%)

Counts

22 → 6

Calls

Call 1

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

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

Calls

4 calls:

70.0ms	b
66.0ms	c
50.0ms	a
32.0ms	d

Results

Error	Segments	Branch
31.1b	4	`a`
28.0b	7	`b`
22.7b	6	`c`
23.7b	3	`d`

Compiler

Compiled 152 to 69 computations (54.6% saved)

bsearch112.0ms (0.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
23.0ms	4.395899517888614e+31	1.3918546362905407e+35
22.0ms	1.765362979944965e-13	2.735828233196281e-7
22.0ms	3.337487325098142e-58	5.896241845217198e-37
22.0ms	-3.474451949234269e+55	-1.0509884857975194e+49
23.0ms	-2.0955419659833187e+99	-1.64696214424245e+94

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes140.0ms (0.8%)

Counts

13 → 6

Calls

Call 1

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

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

Calls

4 calls:

48.0ms	c
34.0ms	b
34.0ms	a
21.0ms	d

Results

Error	Segments	Branch
31.1b	4	`a`
29.2b	5	`b`
22.7b	6	`c`
23.7b	3	`d`

Compiler

Compiled 85 to 46 computations (45.9% saved)

bsearch117.0ms (0.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
24.0ms	4.395899517888614e+31	1.3918546362905407e+35
22.0ms	1.765362979944965e-13	2.735828233196281e-7
23.0ms	3.337487325098142e-58	5.896241845217198e-37
24.0ms	-3.474451949234269e+55	-1.0509884857975194e+49
24.0ms	-2.0955419659833187e+99	-1.64696214424245e+94

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes103.0ms (0.6%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

4 calls:

29.0ms	b
28.0ms	a
24.0ms	c
19.0ms	d

Results

Error	Segments	Branch
31.1b	4	`a`
29.2b	5	`b`
25.0b	3	`c`
23.7b	3	`d`

Compiler

Compiled 71 to 40 computations (43.7% saved)

bsearch46.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	7.089272260876135e-58	1.6505994140378458e-49
24.0ms	-2.041012913590577e-80	-6.357750131897032e-92

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes17.0ms (0.1%)

Accuracy

Total -24.2b remaining (-69.4%)

Threshold costs -24.2b (-69.4%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 b d)

Calls

4 calls:

5.0ms	d
4.0ms	a
3.0ms	c
3.0ms	b

Results

Error	Segments	Branch
34.9b	1	`a`
34.9b	1	`b`
34.9b	1	`c`
34.9b	1	`d`

Compiler

Compiled 33 to 22 computations (33.3% saved)

simplify136.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

134×	`distribute-rgt-neg-in_binary64`
134×	`cancel-sign-sub-inv_binary64`
95×	`distribute-lft-neg-out_binary64`
94×	`neg-sub0_binary64`
94×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	141	1294
1	174	1276
2	211	1276
3	251	1276
4	296	1276
5	335	1276
6	373	1276
7	411	1276
8	466	1276
9	510	1276
10	540	1276
11	604	1276
12	692	1276
13	812	1276
14	954	1276
15	1060	1276
16	1121	1276
17	1169	1276
18	1201	1276
19	1218	1276
20	1222	1276

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 d -164834118453807260290147210564050276416061044658723418855867638917457265217765376) (/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (hypot.f64 c d)) (if (<=.f64 d -5438853046443695/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 d 1876879207201175/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 d c) (-.f64 b (.f64 d (/.f64 a c)))) c)) (if (<=.f64 d 828451612088339484833309594273878559941113602322185081673744698138314322288312320) (/.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 (neg.f64 c) d)))))))
(if (<=.f64 d -164834118453807260290147210564050276416061044658723418855867638917457265217765376) (/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (hypot.f64 c d)) (if (<=.f64 d -43595771235766368/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 3381051550081877/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 d c) (-.f64 b (.f64 d (/.f64 a c)))) c)) (if (<=.f64 d 3575138316980934476731942960885483721792756040916633118965312099887388397928448) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 (neg.f64 c) d)))))))
(if (<=.f64 d -164834118453807260290147210564050276416061044658723418855867638917457265217765376) (-.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 (neg.f64 c) d))) (if (<=.f64 d -43595771235766368/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 3381051550081877/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 d c) (-.f64 b (.f64 d (/.f64 a c)))) c)) (if (<=.f64 d 3575138316980934476731942960885483721792756040916633118965312099887388397928448) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 (neg.f64 c) d)))))))
(if (<=.f64 d -164834118453807260290147210564050276416061044658723418855867638917457265217765376) (-.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 (neg.f64 c) d))) (if (<=.f64 d -43595771235766368/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 3381051550081877/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (+.f64 (/.f64 a c) (/.f64 (/.f64 (.f64 d (-.f64 b (.f64 d (/.f64 a c)))) c) c)) (if (<=.f64 d 3575138316980934476731942960885483721792756040916633118965312099887388397928448) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 (neg.f64 c) d)))))))
(if (<=.f64 d -164834118453807260290147210564050276416061044658723418855867638917457265217765376) (-.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 (neg.f64 c) d))) (if (<=.f64 d -513292777134805632/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 1078738807934725/2568425733177916751582514591250062824975751856847252861083144972201529372215371495172688738416791235950675277761805770367685269653410060480042878305982363696267199058168185838960773319279454451792623658074112) (/.f64 a c) (if (<=.f64 d 3575138316980934476731942960885483721792756040916633118965312099887388397928448) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 (neg.f64 c) d)))))))
(if (<=.f64 c -2095541965983318697893261089458659359813743243215279975031549941192261907258161676175749509837488128) (/.f64 a c) (if (<=.f64 c -34744519492342691439623114450511133457488711490255978496) (.f64 (/.f64 d c) (/.f64 b c)) (if (<=.f64 c -6242072649222749/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (-.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 (neg.f64 c) d))) (if (<=.f64 c -49608889340787608/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 (.f64 d b) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 8557711904450835/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688) (.f64 (/.f64 1 d) (+.f64 b (/.f64 (.f64 c a) d))) (if (<=.f64 c 13986646507174566/79228162514264337593543950336) (/.f64 (.f64 c a) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 43958995178886135812536022335488) (/.f64 (.f64 d b) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 495227316608075460382200709014684983436983434238881614540394195819187069251619197605735623564803964928) (/.f64 (.f64 c a) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 a c)))))))))
(if (<=.f64 c -2095541965983318697893261089458659359813743243215279975031549941192261907258161676175749509837488128) (/.f64 a c) (if (<=.f64 c -34744519492342691439623114450511133457488711490255978496) (.f64 (/.f64 d c) (/.f64 b c)) (if (<=.f64 c -6242072649222749/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (.f64 (/.f64 1 d) (+.f64 b (/.f64 (.f64 c a) d))) (if (<=.f64 c -49608889340787608/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 (.f64 d b) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 8557711904450835/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688) (.f64 (/.f64 1 d) (+.f64 b (/.f64 (.f64 c a) d))) (if (<=.f64 c 13986646507174566/79228162514264337593543950336) (/.f64 (.f64 c a) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 43958995178886135812536022335488) (/.f64 (.f64 d b) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 495227316608075460382200709014684983436983434238881614540394195819187069251619197605735623564803964928) (/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d))) (/.f64 a c)))))))))
(if (<=.f64 c -2095541965983318697893261089458659359813743243215279975031549941192261907258161676175749509837488128) (/.f64 a c) (if (<=.f64 c -34744519492342691439623114450511133457488711490255978496) (.f64 (/.f64 d c) (/.f64 b c)) (if (<=.f64 c -6242072649222749/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (.f64 (/.f64 1 d) (+.f64 b (/.f64 (.f64 c a) d))) (if (<=.f64 c -49608889340787608/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 (.f64 d b) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 5167833420533839/18889465931478580854784) (.f64 (/.f64 1 d) (+.f64 b (/.f64 (.f64 c a) d))) (if (<=.f64 c 9046285168634948585510961039973213513379410748637184) (/.f64 (.f64 d b) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c 843042049547238019307691571475946042290881589918529613091420596391243343165511376161455063695360) (.f64 (/.f64 1 d) (+.f64 b (/.f64 (*.f64 c a) d))) (/.f64 a c))))))))
(if (<=.f64 d -43595771235766368/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 (/.f64 1 d) (+.f64 b (/.f64 (.f64 c a) d))) (if (<=.f64 d 626282994277191/883423532389192164791648750371459257913741948437809479060803100646309888) (/.f64 a c) (.f64 (/.f64 1 d) (+.f64 b (/.f64 (.f64 c a) d)))))
(if (<=.f64 c -2095541965983318697893261089458659359813743243215279975031549941192261907258161676175749509837488128) (/.f64 a c) (if (<=.f64 c -34744519492342691439623114450511133457488711490255978496) (.f64 (/.f64 d c) (/.f64 b c)) (if (<=.f64 c 4717463747267771/14134776518227074636666380005943348126619871175004951664972849610340958208) (/.f64 b d) (if (<=.f64 c 13986646507174566/79228162514264337593543950336) (/.f64 a c) (if (<=.f64 c 43958995178886135812536022335488) (.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c))))))
(if (<=.f64 c -2095541965983318697893261089458659359813743243215279975031549941192261907258161676175749509837488128) (/.f64 a c) (if (<=.f64 c -34744519492342691439623114450511133457488711490255978496) (/.f64 (.f64 d b) (.f64 c c)) (if (<=.f64 c 4717463747267771/14134776518227074636666380005943348126619871175004951664972849610340958208) (/.f64 b d) (if (<=.f64 c 13986646507174566/79228162514264337593543950336) (/.f64 a c) (if (<=.f64 c 43958995178886135812536022335488) (/.f64 (.f64 d b) (.f64 c c)) (/.f64 a c))))))
(if (<=.f64 d -43595771235766368/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (/.f64 b d) (if (<=.f64 d 626282994277191/883423532389192164791648750371459257913741948437809479060803100646309888) (/.f64 a c) (/.f64 b d)))
(/.f64 b d)
(/.f64 a d)

Outputs
(if (<=.f64 d -164834118453807260290147210564050276416061044658723418855867638917457265217765376) (/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (hypot.f64 c d)) (if (<=.f64 d -5438853046443695/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (/.f64 (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 d 1876879207201175/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 d c) (-.f64 b (.f64 d (/.f64 a c)))) c)) (if (<=.f64 d 828451612088339484833309594273878559941113602322185081673744698138314322288312320) (/.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 (neg.f64 c) d)))))))
(if (<=.f64 d -164834118453807260290147210564050276416061044658723418855867638917457265217765376) (/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (hypot.f64 c d)) (if (<=.f64 d -5438853046443695/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (/.f64 (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 d 1876879207201175/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 d c) (-.f64 b (.f64 d (/.f64 a c)))) c)) (if (<=.f64 d 828451612088339484833309594273878559941113602322185081673744698138314322288312320) (/.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 (neg.f64 c) d)))))))
(if (<=.f64 d -164834118453807260290147210564050276416061044658723418855867638917457265217765376) (/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (hypot.f64 c d)) (if (<=.f64 d -5438853046443695/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (/.f64 (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d)) (if (<=.f64 d 1876879207201175/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 d c) (-.f64 b (.f64 d (/.f64 a c)))) c)) (if (<=.f64 d 828451612088339484833309594273878559941113602322185081673744698138314322288312320) (/.f64 (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d)) (+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))))))
(if (<=.f64 d -164834118453807260290147210564050276416061044658723418855867638917457265217765376) (/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (hypot.f64 c d)) (if (<=.f64 d -43595771235766368/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 3381051550081877/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 d c) (-.f64 b (.f64 d (/.f64 a c)))) c)) (if (<=.f64 d 3575138316980934476731942960885483721792756040916633118965312099887388397928448) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 (neg.f64 c) d)))))))
(if (<=.f64 d -164834118453807260290147210564050276416061044658723418855867638917457265217765376) (/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (hypot.f64 c d)) (if (<=.f64 d -1362367851117699/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768) (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 3381051550081877/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 d c) (-.f64 b (.f64 d (/.f64 a c)))) c)) (if (<=.f64 d 3575138316980934476731942960885483721792756040916633118965312099887388397928448) (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (/.f64 b d) (*.f64 (/.f64 a d) (/.f64 (neg.f64 c) d)))))))
(if (<=.f64 d -164834118453807260290147210564050276416061044658723418855867638917457265217765376) (/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (hypot.f64 c d)) (if (<=.f64 d -1362367851117699/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768) (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 3381051550081877/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 d c) (-.f64 b (.f64 d (/.f64 a c)))) c)) (if (<=.f64 d 3575138316980934476731942960885483721792756040916633118965312099887388397928448) (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 a d)))))))
(if (<=.f64 d -164834118453807260290147210564050276416061044658723418855867638917457265217765376) (-.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 (neg.f64 c) d))) (if (<=.f64 d -43595771235766368/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 3381051550081877/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 d c) (-.f64 b (.f64 d (/.f64 a c)))) c)) (if (<=.f64 d 3575138316980934476731942960885483721792756040916633118965312099887388397928448) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 (neg.f64 c) d)))))))
(if (<=.f64 d -164834118453807260290147210564050276416061044658723418855867638917457265217765376) (-.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 (neg.f64 c) d))) (if (<=.f64 d -1362367851117699/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768) (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 3381051550081877/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 d c) (-.f64 b (.f64 d (/.f64 a c)))) c)) (if (<=.f64 d 3575138316980934476731942960885483721792756040916633118965312099887388397928448) (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d))) (-.f64 (/.f64 b d) (.f64 (/.f64 a d) (/.f64 (neg.f64 c) d)))))))
(if (<=.f64 d -164834118453807260290147210564050276416061044658723418855867638917457265217765376) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d))) (if (<=.f64 d -1362367851117699/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768) (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d 3381051550081877/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (+.f64 (/.f64 a c) (/.f64 (.f64 (/.f64 d c) (-.f64 b (.f64 d (/.f64 a c)))) c)) (if (<=.f64 d 3575138316980934476731942960885483721792756040916633118965312099887388397928448) (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d))) (+.f64 (/.f64 b d) (.f64 (/.f64 c d) (/.f64 a d)))))))
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(/.f64 b d)
(/.f64 a d)

Compiler

Compiled 931 to 406 computations (56.4% saved)

soundness346.0ms (2%)

Algorithm

4×	egg-herbie

Rules

968×	`fma-neg_binary64`
968×	`fma-neg_binary64`
935×	`fma-def_binary64`
930×	`fma-def_binary64`
806×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	3118
1	590	2858
2	2193	2718
0	48	1644
1	140	1542
2	478	1461
3	2604	1410
4	6771	1410
0	48	1644
1	140	1542
2	478	1461
3	2604	1410
4	6771	1410
0	38	2646
1	98	2607
2	235	2601
3	986	2247
4	5078	2187

Stop Event

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

Compiler

Compiled 906 to 597 computations (34.1% saved)

end162.0ms (0.9%)

Compiler: Compiled 879 to 236 computations (73.2% saved)