Details

analyze1.3s (9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
0%	0%	99.8%	0.2%	0%	0%	0%	9
0%	0%	99.8%	0.2%	0%	0%	0%	10
3.1%	3.1%	96.6%	0.2%	0%	0%	0%	11
4.7%	4.7%	95.1%	0.2%	0%	0%	0%	12

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample2.4s (16.5%)

Results

1.6s	8256×	body	256	valid
802.0ms	2809×	body	256	infinite

Bogosity

preprocess69.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

811×	`div-sub_binary64`
499×	`sub-neg_binary64`
355×	`fma-neg_binary64`
315×	`distribute-rgt-neg-in_binary64`
293×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	143
1	112	143
2	283	143
3	926	133
4	3020	121
5	6107	121
0	5	5

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
3
4

Call 2

Inputs
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
(-.f64 y (/.f64 (*.f64 x (-.f64 z t)) a))
(-.f64 z (/.f64 (*.f64 y (-.f64 x t)) a))
(-.f64 t (/.f64 (*.f64 y (-.f64 z x)) a))
(-.f64 a (/.f64 (*.f64 y (-.f64 z t)) x))
(-.f64 x (/.f64 (*.f64 z (-.f64 y t)) a))
(-.f64 x (/.f64 (*.f64 t (-.f64 z y)) a))
(-.f64 x (/.f64 (*.f64 a (-.f64 z t)) y))
(-.f64 x (/.f64 (*.f64 y (-.f64 t z)) a))
(-.f64 x (/.f64 (*.f64 y (-.f64 a t)) z))
(-.f64 x (/.f64 (*.f64 y (-.f64 z a)) t))

Outputs
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(-.f64 x (*.f64 (-.f64 z t) (/.f64 y a)))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(-.f64 y (/.f64 (*.f64 x (-.f64 z t)) a))
(-.f64 y (/.f64 x (/.f64 a (-.f64 z t))))
(-.f64 y (*.f64 (/.f64 x a) (-.f64 z t)))
(-.f64 y (*.f64 (-.f64 z t) (/.f64 x a)))
(fma.f64 (/.f64 x a) (-.f64 t z) y)
(-.f64 z (/.f64 (*.f64 y (-.f64 x t)) a))
(-.f64 z (/.f64 y (/.f64 a (-.f64 x t))))
(-.f64 z (*.f64 (/.f64 y a) (-.f64 x t)))
(-.f64 z (*.f64 (-.f64 x t) (/.f64 y a)))
(fma.f64 (/.f64 (neg.f64 y) a) (-.f64 x t) z)
(fma.f64 (/.f64 y a) (-.f64 t x) z)
(-.f64 t (/.f64 (*.f64 y (-.f64 z x)) a))
(-.f64 t (*.f64 (/.f64 y a) (-.f64 z x)))
(-.f64 t (*.f64 (-.f64 z x) (/.f64 y a)))
(fma.f64 (/.f64 (neg.f64 y) a) (-.f64 z x) t)
(fma.f64 (/.f64 y a) (-.f64 x z) t)
(-.f64 a (/.f64 (*.f64 y (-.f64 z t)) x))
(-.f64 a (/.f64 y (/.f64 x (-.f64 z t))))
(-.f64 a (*.f64 (/.f64 y x) (-.f64 z t)))
(-.f64 a (*.f64 (-.f64 z t) (/.f64 y x)))
(fma.f64 (/.f64 y x) (-.f64 t z) a)
(-.f64 x (/.f64 (*.f64 z (-.f64 y t)) a))
(-.f64 x (/.f64 z (/.f64 a (-.f64 y t))))
(-.f64 x (*.f64 (/.f64 z a) (-.f64 y t)))
(-.f64 x (*.f64 (/.f64 (-.f64 y t) a) z))
(-.f64 x (*.f64 z (/.f64 (-.f64 y t) a)))
(fma.f64 (/.f64 z a) (-.f64 t y) x)
(-.f64 x (/.f64 (*.f64 t (-.f64 z y)) a))
(-.f64 x (/.f64 t (/.f64 a (-.f64 z y))))
(-.f64 x (*.f64 (/.f64 t a) (-.f64 z y)))
(-.f64 x (*.f64 (-.f64 z y) (/.f64 t a)))
(fma.f64 (/.f64 (neg.f64 t) a) (-.f64 z y) x)
(fma.f64 (/.f64 t a) (-.f64 y z) x)
(-.f64 x (/.f64 (*.f64 a (-.f64 z t)) y))
(-.f64 x (/.f64 (*.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 (/.f64 a y) (-.f64 z t)))
(-.f64 x (*.f64 (-.f64 z t) (/.f64 a y)))
(fma.f64 (/.f64 a y) (-.f64 t z) x)
(-.f64 x (/.f64 (*.f64 y (-.f64 t z)) a))
(-.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(-.f64 x (*.f64 (-.f64 t z) (/.f64 y a)))
(fma.f64 (/.f64 y a) (-.f64 z t) x)
(-.f64 x (/.f64 (*.f64 y (-.f64 a t)) z))
(-.f64 x (/.f64 (-.f64 a t) (/.f64 z y)))
(-.f64 x (*.f64 (-.f64 a t) (/.f64 y z)))
(-.f64 x (*.f64 y (/.f64 (-.f64 a t) z)))
(fma.f64 (/.f64 y z) (-.f64 t a) x)
(-.f64 x (/.f64 (*.f64 y (-.f64 z a)) t))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z a)))
(-.f64 x (*.f64 (-.f64 z a) (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 (-.f64 z a) t)))
(fma.f64 (/.f64 y t) (-.f64 a z) x)

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

783×	`fma-neg_binary64`
717×	`fma-def_binary64`
245×	`cancel-sign-sub-inv_binary64`
181×	`distribute-rgt-in_binary64`
139×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	17	13
2	39	13
3	107	13
4	327	11
5	879	11
6	1902	11
7	3302	11
8	3989	11
9	4045	11
10	4075	11
11	4080	11
12	4080	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

Outputs
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(-.f64 x (*.f64 (-.f64 z t) (/.f64 y a)))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)

eval1.0ms (0%)

Compiler: Compiled 22 to 12 computations (45.5% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.1b	(fma.f64 y (/.f64 (-.f64 t z) a) x)
▶	5.5b	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

Compiler

Compiled 27 to 17 computations (37% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
✓	0.0b	(*.f64 y (-.f64 z t))
✓	6.1b	(/.f64 (*.f64 y (-.f64 z t)) a)

Compiler

Compiled 34 to 9 computations (73.5% saved)

series22.0ms (0.1%)

Counts

3 → 120

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/.f64 (*.f64 y (-.f64 z t)) a)
2.0ms	t	@	0	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
2.0ms	x	@	0	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
1.0ms	t	@	inf	(/.f64 (*.f64 y (-.f64 z t)) a)
1.0ms	z	@	0	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite119.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

946×	`prod-diff_binary64`
637×	`log-prod_binary64`
369×	`fma-def_binary64`
220×	`expm1-udef_binary64`
220×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	226	30
2	3454	30

Stop Event

1×	node limit

Counts

3 → 266

Calls

Call 1

Inputs
(/.f64 (*.f64 y (-.f64 z t)) a)
(*.f64 y (-.f64 z t))
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

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

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(*.f64 (/.f64 y a) (-.f64 z t)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 2)) (*.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 3)) (/.f64 1 (fma.f64 (*.f64 (/.f64 y a) (-.f64 z t)) (fma.f64 (/.f64 y a) (-.f64 z t) x) (*.f64 x x))) (+.f64 (/.f64 (*.f64 (-.f64 z t) (neg.f64 y)) a) (*.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 2)) (/.f64 1 (fma.f64 (/.f64 y a) (-.f64 z t) x)) (fma.f64 (neg.f64 (/.f64 1 a)) (*.f64 y (-.f64 z t)) (*.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 2)) (/.f64 1 (fma.f64 (/.f64 y a) (-.f64 z t) x)) (fma.f64 (/.f64 (*.f64 (-.f64 z t) (neg.f64 y)) a) 1 (*.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 2)) (/.f64 1 (fma.f64 (/.f64 y a) (-.f64 z t) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y a) (-.f64 z t)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 2)) (*.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 2)) (/.f64 1 (fma.f64 (/.f64 y a) (-.f64 z t) x)) (+.f64 (/.f64 (*.f64 (-.f64 z t) (neg.f64 y)) a) (*.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (-.f64 z t) (neg.f64 y)) a)) (cbrt.f64 (/.f64 (*.f64 (-.f64 z t) (neg.f64 y)) a))) (cbrt.f64 (/.f64 (*.f64 (-.f64 z t) (neg.f64 y)) a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 z t) (neg.f64 y)) a)) (sqrt.f64 (/.f64 (*.f64 (-.f64 z t) (neg.f64 y)) a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 y a) (-.f64 z t)))) (sqrt.f64 (*.f64 (/.f64 y a) (-.f64 z t))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 (/.f64 y a) (-.f64 z t)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y a) (-.f64 z t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y a) (-.f64 z t)))) (fma.f64 (neg.f64 (/.f64 1 a)) (*.f64 y (-.f64 z t)) (*.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y a) (-.f64 z t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y a) (-.f64 z t)))) (fma.f64 (/.f64 (*.f64 (-.f64 z t) (neg.f64 y)) a) 1 (*.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y a) (-.f64 z t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y a) (-.f64 z t)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y a) (-.f64 z t)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 2)) (*.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y a) (-.f64 z t)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y a) (-.f64 z t)))) (+.f64 (/.f64 (*.f64 (-.f64 z t) (neg.f64 y)) a) (*.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 2))) (cbrt.f64 (*.f64 (/.f64 y a) (-.f64 z t))) x)))))

simplify133.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

798×	`fma-neg_binary64`
488×	`fma-def_binary64`
273×	`cancel-sign-sub-inv_binary64`
138×	`distribute-rgt-in_binary64`
116×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	1349
1	102	1158
2	214	1148
3	468	1058
4	1148	1058
5	2593	1058
6	3352	1058
7	3546	1058
8	3612	1058
9	3622	1058
10	3626	1058

Stop Event

1×

saturated

Counts

386 → 300

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 y t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(/.f64 (*.f64 y z) a)
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(/.f64 (*.f64 y z) a)
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(/.f64 (*.f64 y z) a)
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(.f64 -1 (.f64 y t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(*.f64 y z)
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(.f64 -1 (.f64 y t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(.f64 -1 (.f64 y t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
x
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(-.f64 x (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 x (/.f64 (*.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(/.f64 (*.f64 y t) a)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(/.f64 (*.f64 y t) a)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a))
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)

Outputs
(.f64 -1 (/.f64 (.f64 y t) a))
(/.f64 (neg.f64 (*.f64 y t)) a)
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 (neg.f64 t) (/.f64 y a))
(/.f64 (neg.f64 t) (/.f64 a y))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 y (/.f64 (-.f64 z t) a))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 y (/.f64 (-.f64 z t) a))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 y (/.f64 (-.f64 z t) a))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 y (/.f64 (-.f64 z t) a))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 y (/.f64 (-.f64 z t) a))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 y (/.f64 (-.f64 z t) a))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 y (/.f64 (-.f64 z t) a))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 y (/.f64 (-.f64 z t) a))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 y (/.f64 (-.f64 z t) a))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 y (/.f64 (-.f64 z t) a))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 y (/.f64 (-.f64 z t) a))
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(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a))
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
(/.f64 (*.f64 (neg.f64 y) (-.f64 z t)) a)
(*.f64 (/.f64 y a) (-.f64 t z))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 t z) a)
✓	8.6b	(fma.f64 y (/.f64 (-.f64 t z) a) x)

Compiler

Compiled 26 to 8 computations (69.2% saved)

series12.0ms (0.1%)

Counts

2 → 84

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(fma.f64 y (/.f64 (-.f64 t z) a) x)
1.0ms	t	@	0	(fma.f64 y (/.f64 (-.f64 t z) a) x)
1.0ms	t	@	-inf	(fma.f64 y (/.f64 (-.f64 t z) a) x)
1.0ms	z	@	0	(fma.f64 y (/.f64 (-.f64 t z) a) x)
1.0ms	a	@	0	(fma.f64 y (/.f64 (-.f64 t z) a) x)

rewrite100.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

610×	`prod-diff_binary64`
525×	`log-prod_binary64`
329×	`pow-prod-down_binary64`
284×	`pow2_binary64`
214×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	197	18
2	2841	18

Stop Event

1×	node limit

Counts

2 → 205

Calls

Call 1

Inputs
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(/.f64 (-.f64 t z) a)

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 t z) a) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 z a))) (sqrt.f64 (/.f64 z a)) (/.f64 z a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 t z) a) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 a))) (/.f64 (sqrt.f64 z) (sqrt.f64 a)) (/.f64 z a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 t a) (neg.f64 (/.f64 z a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 t z) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 t (/.f64 1 a) (neg.f64 (.f64 (/.f64 1 a) z))) (fma.f64 (neg.f64 (/.f64 1 a)) z (.f64 (/.f64 1 a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 t a) (neg.f64 (.f64 (/.f64 1 a) z))) (fma.f64 (neg.f64 (/.f64 1 a)) z (.f64 (/.f64 1 a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 t a)) 2) (cbrt.f64 (/.f64 t a)) (neg.f64 (.f64 (/.f64 1 a) z))) (fma.f64 (neg.f64 (/.f64 1 a)) z (.f64 (/.f64 1 a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 (/.f64 t a)) (neg.f64 (.f64 (/.f64 1 a) z))) (fma.f64 (neg.f64 (/.f64 1 a)) z (.f64 (/.f64 1 a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 a) -2) (/.f64 t (cbrt.f64 a)) (neg.f64 (.f64 (/.f64 1 a) z))) (fma.f64 (neg.f64 (/.f64 1 a)) z (.f64 (/.f64 1 a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 a -1/2) (/.f64 t (sqrt.f64 a)) (neg.f64 (.f64 (/.f64 1 a) z))) (fma.f64 (neg.f64 (/.f64 1 a)) z (.f64 (/.f64 1 a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1) (/.f64 (cbrt.f64 t) a) (neg.f64 (.f64 (/.f64 1 a) z))) (fma.f64 (neg.f64 (/.f64 1 a)) z (.f64 (/.f64 1 a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 t) 1) (/.f64 (sqrt.f64 t) a) (neg.f64 (.f64 (/.f64 1 a) z))) (fma.f64 (neg.f64 (/.f64 1 a)) z (.f64 (/.f64 1 a) z)))))) (#(struct:change #<rule 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Outputs

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(/.f64 (cbrt.f64 t) (sqrt.f64 a)) (neg.f64 (/.f64 z a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 t) (sqrt.f64 a)) (/.f64 (sqrt.f64 t) (sqrt.f64 a)) (neg.f64 (/.f64 z a)))))))

simplify126.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

886×	`fma-neg_binary64`
569×	`fma-def_binary64`
253×	`cancel-sign-sub-inv_binary64`
135×	`distribute-rgt-in_binary64`
90×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	950
1	60	949
2	113	800
3	212	746
4	393	746
5	622	746
6	1076	746
7	1700	746
8	2651	746
9	3372	746
10	3467	746
11	3481	746
12	3486	746
13	3490	746

Stop Event

1×

saturated

Counts

289 → 227

Calls

Call 1

Inputs
x
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 (.f64 -1 (/.f64 (*.f64 y z) a)) x))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 (.f64 -1 (/.f64 (*.f64 y z) a)) x))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 (.f64 -1 (/.f64 (*.f64 y z) a)) x))
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(*.f64 -1 (/.f64 z a))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(/.f64 t a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(/.f64 t a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(/.f64 t a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(*.f64 -1 (/.f64 z a))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(*.f64 -1 (/.f64 z a))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))

Outputs
x
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 (/.f64 (-.f64 t z) a) y)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(/.f64 (*.f64 y (-.f64 t z)) a)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 (/.f64 (-.f64 t z) a) y)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
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(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
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(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
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(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
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(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
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(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(/.f64 (*.f64 y t) a)
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(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
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(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y t) a) x)
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(fma.f64 (/.f64 y a) t x)
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(+.f64 (/.f64 (.f64 y t) a) (+.f64 (.f64 -1 (/.f64 (*.f64 y z) a)) x))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
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(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
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(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 (*.f64 z y) a))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 z (/.f64 (neg.f64 y) a))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 (*.f64 z y) a))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 z (/.f64 (neg.f64 y) a))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(/.f64 (*.f64 y (-.f64 t z)) a)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 (/.f64 (-.f64 t z) a) y)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(/.f64 (*.f64 y (-.f64 t z)) a)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 (/.f64 (-.f64 t z) a) y)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(*.f64 -1 (/.f64 z a))
(neg.f64 (/.f64 z a))
(/.f64 (neg.f64 z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(/.f64 t a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(/.f64 t a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(/.f64 t a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(*.f64 -1 (/.f64 z a))
(neg.f64 (/.f64 z a))
(/.f64 (neg.f64 z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(*.f64 -1 (/.f64 z a))
(neg.f64 (/.f64 z a))
(/.f64 (neg.f64 z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)

eval163.0ms (1.1%)

Compiler: Compiled 15421 to 4483 computations (70.9% saved)

prune137.0ms (0.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	514	13	527
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	515	14	529

Error

Counts

529 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	41.0b	(*.f64 (/.f64 (-.f64 t z) a) y)
	28.3b	x
	17.0b	(-.f64 x (/.f64 (*.f64 y z) a))
▶	15.5b	(-.f64 x (/.f64 (neg.f64 t) (/.f64 a y)))
▶	51.1b	(*.f64 (/.f64 z a) (neg.f64 y))
	27.7b	(fma.f64 y (cbrt.f64 (pow.f64 (/.f64 (-.f64 t z) a) 3)) x)
✓	5.5b	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
	52.5b	(*.f64 y (/.f64 t a))
	38.4b	(/.f64 (*.f64 y (-.f64 t z)) a)
	25.3b	(-.f64 x (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (-.f64 z t)) 3)) a))
	48.1b	(*.f64 z (/.f64 (neg.f64 y) a))
▶	17.6b	(+.f64 (/.f64 (*.f64 y t) a) x)
▶	49.7b	(*.f64 t (/.f64 y a))
▶	51.0b	(/.f64 (*.f64 y t) a)

Compiler

Compiled 312 to 216 computations (30.8% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 (neg.f64 t) (/.f64 a y)))
✓	3.5b	(/.f64 (neg.f64 t) (/.f64 a y))

Compiler

Compiled 28 to 9 computations (67.9% saved)

series14.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	t	@	-inf	(/.f64 (neg.f64 t) (/.f64 a y))
1.0ms	x	@	0	(-.f64 x (/.f64 (neg.f64 t) (/.f64 a y)))
1.0ms	t	@	0	(/.f64 (neg.f64 t) (/.f64 a y))
1.0ms	a	@	0	(/.f64 (neg.f64 t) (/.f64 a y))
1.0ms	y	@	0	(/.f64 (neg.f64 t) (/.f64 a y))

rewrite111.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

683×	`prod-diff_binary64`
537×	`log-prod_binary64`
252×	`egg-rr`
251×	`pow2_binary64`
193×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	207	17
2	3379	15

Stop Event

1×	node limit

Counts

2 → 311

Calls

Call 1

Inputs
(/.f64 (neg.f64 t) (/.f64 a y))
(-.f64 x (/.f64 (neg.f64 t) (/.f64 a y)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t (/.f64 y a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 t (/.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 t (/.f64 y a) x) (fma.f64 (neg.f64 (/.f64 y a)) t (*.f64 t (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 t (/.f64 y a) x) (+.f64 (*.f64 t (/.f64 y a)) (*.f64 t (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 t (/.f64 y a) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 t (/.f64 y a)))) (cbrt.f64 (pow.f64 (*.f64 t (/.f64 y a)) 2)) (*.f64 t (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 t (/.f64 y a) x) (fma.f64 (neg.f64 y) (/.f64 t a) (*.f64 t (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 t (/.f64 y a) x) (fma.f64 (/.f64 t a) y (*.f64 t (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 t (/.f64 y a) x) (fma.f64 -1 (*.f64 t (/.f64 y a)) (*.f64 t (/.f64 y a))))))) 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (/.f64 1 (neg.f64 (/.f64 a y))) t))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 (/.f64 a y)))) t (*.f64 (/.f64 1 (neg.f64 (/.f64 a y))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (/.f64 1 (neg.f64 (/.f64 a y))) t))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 (/.f64 a y)))) t (*.f64 (/.f64 1 (neg.f64 (/.f64 a y))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (/.f64 1 (neg.f64 (/.f64 a y))) t))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 (/.f64 a y)))) t (*.f64 (/.f64 1 (neg.f64 (/.f64 a y))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (/.f64 1 (neg.f64 (/.f64 a y))) t))) (fma.f64 (neg.f64 (/.f64 1 (neg.f64 (/.f64 a y)))) t (*.f64 (/.f64 1 (neg.f64 (/.f64 a y))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 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simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

261×	`fma-def_binary64`
230×	`fma-neg_binary64`
74×	`cancel-sign-sub-inv_binary64`
52×	`associate-/l*_binary64`
42×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	732
1	18	732
2	38	660
3	73	660
4	120	660
5	169	660
6	209	660
7	251	660
8	314	660
9	455	660
10	526	660
11	588	660
12	730	660
13	1019	660
14	1171	660
15	1290	660
16	1295	660

Stop Event

1×

saturated

Counts

395 → 316

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
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(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)

Outputs
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
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(/.f64 (neg.f64 y) (/.f64 a t))
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(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
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(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
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(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
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(.f64 -1 (/.f64 (.f64 y t) a))
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(.f64 -1 (/.f64 (.f64 y t) a))
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(.f64 -1 (/.f64 (.f64 y t) a))
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(.f64 -1 (/.f64 (.f64 y t) a))
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(.f64 -1 (/.f64 (.f64 y t) a))
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x
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(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.5b	(*.f64 t (/.f64 y a))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite50.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`pow1_binary64`
628×	`add-log-exp_binary64`
628×	`log1p-expm1-u_binary64`
628×	`expm1-log1p-u_binary64`
613×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1672	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(*.f64 t (/.f64 y a))

Outputs

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

58 → 24

Calls

Call 1

Inputs
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)

Outputs
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.7b	(/.f64 (*.f64 y t) a)

Compiler

Compiled 16 to 7 computations (56.3% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

9 calls:

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

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`pow1_binary64`
659×	`add-log-exp_binary64`
659×	`log1p-expm1-u_binary64`
659×	`expm1-log1p-u_binary64`
644×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1731	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(/.f64 (*.f64 y t) a)

Outputs

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

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

41 → 41

Calls

Call 1

Inputs

Outputs

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	9.4b	(*.f64 (/.f64 z a) (neg.f64 y))

Compiler

Compiled 19 to 8 computations (57.9% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(*.f64 (/.f64 z a) (neg.f64 y))
1.0ms	a	@	inf	(*.f64 (/.f64 z a) (neg.f64 y))
1.0ms	z	@	0	(*.f64 (/.f64 z a) (neg.f64 y))
1.0ms	y	@	0	(*.f64 (/.f64 z a) (neg.f64 y))
1.0ms	z	@	inf	(*.f64 (/.f64 z a) (neg.f64 y))

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`pow1_binary64`
660×	`add-log-exp_binary64`
659×	`log1p-expm1-u_binary64`
659×	`expm1-log1p-u_binary64`
645×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2088	7

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 (/.f64 z a) (neg.f64 y))

Outputs

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

simplify38.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
46×	`fma-neg_binary64`
24×	`sub-neg_binary64`
18×	`div-sub_binary64`
14×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Stop Event

1×

saturated

Counts

61 → 27

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))

Outputs
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (*.f64 y t) a) x)
	6.7b	(/.f64 (*.f64 y t) a)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series6.0ms (0%)

Counts

1 → 12

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(+.f64 (/.f64 (*.f64 y t) a) x)
1.0ms	y	@	-inf	(+.f64 (/.f64 (*.f64 y t) a) x)
0.0ms	y	@	inf	(+.f64 (/.f64 (*.f64 y t) a) x)
0.0ms	t	@	inf	(+.f64 (/.f64 (*.f64 y t) a) x)
0.0ms	a	@	-inf	(+.f64 (/.f64 (*.f64 y t) a) x)

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

827×	`prod-diff_binary64`
493×	`log-prod_binary64`
325×	`pow-prod-down_binary64`
277×	`fma-def_binary64`
247×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	175	10
2	2592	8

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

Inputs
(+.f64 (/.f64 (*.f64 y t) a) x)

Outputs

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

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	48
1	10	48
2	14	48
3	17	48
4	18	48

Stop Event

1×

saturated

Counts

82 → 73

Calls

Call 1

Inputs
x
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
x
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
x
x
(/.f64 (*.f64 y t) a)
x
x

Outputs
x
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
x
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
x
x
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
x
x

eval142.0ms (1%)

Compiler: Compiled 10540 to 3314 computations (68.6% saved)

prune112.0ms (0.8%)

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	516	6	522
Fresh	2	6	8
Picked	1	0	1
Done	1	4	5
Total	520	16	536

Error

Counts

536 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	58.3b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (.f64 y t) (sqrt.f64 a)))
✓	51.1b	(*.f64 (/.f64 z a) (neg.f64 y))
	27.7b	(fma.f64 y (cbrt.f64 (pow.f64 (/.f64 (-.f64 t z) a) 3)) x)
	28.3b	x
✓	49.7b	(*.f64 t (/.f64 y a))
▶	62.3b	(/.f64 (*.f64 z y) a)
✓	5.5b	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
▶	52.5b	(*.f64 y (/.f64 t a))
	38.4b	(/.f64 (*.f64 y (-.f64 t z)) a)
	41.0b	(*.f64 (/.f64 (-.f64 t z) a) y)
▶	17.0b	(-.f64 x (/.f64 (*.f64 y z) a))
	49.6b	(/.f64 t (/.f64 a y))
	48.1b	(*.f64 z (/.f64 (neg.f64 y) a))
▶	15.6b	(+.f64 (*.f64 (/.f64 y a) t) x)
✓	51.0b	(/.f64 (*.f64 y t) a)
▶	50.0b	(/.f64 (*.f64 z y) (neg.f64 a))

Compiler

Compiled 315 to 218 computations (30.8% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (/.f64 y a) t) x)
✓	3.5b	(*.f64 (/.f64 y a) t)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series6.0ms (0%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(+.f64 (*.f64 (/.f64 y a) t) x)
0.0ms	y	@	0	(*.f64 (/.f64 y a) t)
0.0ms	y	@	inf	(*.f64 (/.f64 y a) t)
0.0ms	y	@	inf	(+.f64 (*.f64 (/.f64 y a) t) x)
0.0ms	y	@	-inf	(*.f64 (/.f64 y a) t)

rewrite66.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

879×	`prod-diff_binary64`
477×	`log-prod_binary64`
322×	`pow-prod-down_binary64`
267×	`fma-def_binary64`
247×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	176	15
2	2529	15

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

Inputs
(*.f64 (/.f64 y a) t)
(+.f64 (*.f64 (/.f64 y a) t) x)

Outputs

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

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

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	660
1	12	660
2	16	588
3	20	588
4	23	588
5	24	588

Stop Event

1×

saturated

Counts

175 → 95

Calls

Call 1

Inputs
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)

Outputs
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(fma.f64 y (/.f64 t a) x)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.7b	(*.f64 y (/.f64 t a))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite50.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`pow1_binary64`
628×	`add-log-exp_binary64`
628×	`log1p-expm1-u_binary64`
628×	`expm1-log1p-u_binary64`
613×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1672	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(*.f64 y (/.f64 t a))

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

58 → 23

Calls

Call 1

Inputs
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)

Outputs
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.9b	(/.f64 (*.f64 z y) a)

Compiler

Compiled 16 to 7 computations (56.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`pow1_binary64`
659×	`add-log-exp_binary64`
659×	`log1p-expm1-u_binary64`
659×	`expm1-log1p-u_binary64`
644×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1731	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(/.f64 (*.f64 z y) a)

Outputs

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

77 → 43

Calls

Call 1

Inputs
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)

Outputs
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.9b	(/.f64 (*.f64 z y) (neg.f64 a))

Compiler

Compiled 19 to 8 computations (57.9% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

731×	`pow1_binary64`
677×	`add-log-exp_binary64`
676×	`log1p-expm1-u_binary64`
676×	`expm1-log1p-u_binary64`
662×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	148	7
2	2173	7

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

Inputs
(/.f64 (*.f64 z y) (neg.f64 a))

Outputs

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

simplify29.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
46×	`fma-neg_binary64`
24×	`sub-neg_binary64`
18×	`div-sub_binary64`
14×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Stop Event

1×

saturated

Counts

82 → 48

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))

Outputs
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 (*.f64 y z) a))
✓	5.9b	(/.f64 (*.f64 y z) a)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series7.0ms (0%)

Counts

2 → 48

Calls

21 calls:

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

rewrite100.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`prod-diff_binary64`
503×	`log-prod_binary64`
320×	`pow-prod-down_binary64`
250×	`pow2_binary64`
215×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	176	17
2	2613	17

Stop Event

1×	node limit

Counts

2 → 250

Calls

Call 1

Inputs
(/.f64 (*.f64 y z) a)
(-.f64 x (/.f64 (*.f64 y z) a))

Outputs

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x (/.f64 (*.f64 y (neg.f64 z)) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (/.f64 (*.f64 y (neg.f64 z)) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 x (*.f64 (/.f64 y a) z)) (fma.f64 (neg.f64 (/.f64 1 a)) (*.f64 y z) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 x (*.f64 (/.f64 y a) z)) (fma.f64 (/.f64 (*.f64 y (neg.f64 z)) a) 1 (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 x (*.f64 (/.f64 y a) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y a) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) z)) 2) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 x (*.f64 (/.f64 y a) z)) (+.f64 (/.f64 (*.f64 y (neg.f64 z)) a) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 y (neg.f64 z)) a) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) 2) (fma.f64 (neg.f64 (/.f64 1 a)) (*.f64 y z) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) 2) (fma.f64 (/.f64 (*.f64 y (neg.f64 z)) a) 1 (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) 2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y a) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) z)) 2) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) 2) (+.f64 (/.f64 (*.f64 y (neg.f64 z)) a) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) 2) (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (fma.f64 (neg.f64 (/.f64 1 a)) (*.f64 y z) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) 2) (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (fma.f64 (/.f64 (*.f64 y (neg.f64 z)) a) 1 (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) 2) (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y a) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) z)) 2) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) 2) (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (+.f64 (/.f64 (*.f64 y (neg.f64 z)) a) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) z)) 2) (neg.f64 (cbrt.f64 (*.f64 (/.f64 y a) z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 y (neg.f64 z)) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 (*.f64 y (neg.f64 z)) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (*.f64 y (neg.f64 z)) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 (*.f64 y (neg.f64 z)) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (sqrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (fma.f64 (neg.f64 (/.f64 1 a)) (*.f64 y z) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (sqrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (fma.f64 (/.f64 (*.f64 y (neg.f64 z)) a) 1 (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (sqrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y a) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) z)) 2) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (sqrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (+.f64 (/.f64 (*.f64 y (neg.f64 z)) a) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 y a) z)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 y a) z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (*.f64 y (neg.f64 z)) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 (*.f64 y (neg.f64 z)) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (neg.f64 z)) (/.f64 1 a) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y a) z) 3)) (/.f64 1 (fma.f64 (*.f64 (/.f64 y a) z) (fma.f64 (/.f64 y a) z x) (*.f64 x x))) (fma.f64 (neg.f64 (/.f64 1 a)) (*.f64 y z) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y a) z) 3)) (/.f64 1 (fma.f64 (*.f64 (/.f64 y a) z) (fma.f64 (/.f64 y a) z x) (*.f64 x x))) (fma.f64 (/.f64 (*.f64 y (neg.f64 z)) a) 1 (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y a) z) 3)) (/.f64 1 (fma.f64 (*.f64 (/.f64 y a) z) (fma.f64 (/.f64 y a) z x) (*.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y a) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) z)) 2) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y a) z) 3)) (/.f64 1 (fma.f64 (*.f64 (/.f64 y a) z) (fma.f64 (/.f64 y a) z x) (*.f64 x x))) (+.f64 (/.f64 (*.f64 y (neg.f64 z)) a) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y a) z) 2)) (/.f64 1 (fma.f64 (/.f64 y a) z x)) (fma.f64 (neg.f64 (/.f64 1 a)) (*.f64 y z) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y a) z) 2)) (/.f64 1 (fma.f64 (/.f64 y a) z x)) (fma.f64 (/.f64 (*.f64 y (neg.f64 z)) a) 1 (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y a) z) 2)) (/.f64 1 (fma.f64 (/.f64 y a) z x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y a) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) z)) 2) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y a) z) 2)) (/.f64 1 (fma.f64 (/.f64 y a) z x)) (+.f64 (/.f64 (*.f64 y (neg.f64 z)) a) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 y (neg.f64 z)) a)) 2) (cbrt.f64 (/.f64 (*.f64 y (neg.f64 z)) a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 y (neg.f64 z)) a)) (sqrt.f64 (/.f64 (*.f64 y (neg.f64 z)) a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 y a) z))) (sqrt.f64 (*.f64 (/.f64 y a) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 (/.f64 y a) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y a) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y a) z))) (fma.f64 (neg.f64 (/.f64 1 a)) (*.f64 y z) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y a) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y a) z))) (fma.f64 (/.f64 (*.f64 y (neg.f64 z)) a) 1 (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y a) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y a) z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y a) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) z)) 2) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y a) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y a) z))) (+.f64 (/.f64 (*.f64 y (neg.f64 z)) a) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) z)) 2)) (cbrt.f64 (*.f64 (/.f64 y a) z)) x)))))

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

365×	`fma-def_binary64`
220×	`fma-neg_binary64`
81×	`cancel-sign-sub-inv_binary64`
54×	`associate-/l*_binary64`
44×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	456
1	19	420
2	41	420
3	80	420
4	141	420
5	214	420
6	300	420
7	378	420
8	482	420
9	747	420
10	1169	420
11	1323	420
12	1440	420
13	1445	420

Stop Event

1×

saturated

Counts

298 → 256

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)

Outputs
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 y (/.f64 (neg.f64 z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 y (/.f64 (neg.f64 z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 y (/.f64 (neg.f64 z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 y (/.f64 (neg.f64 z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 y (/.f64 (neg.f64 z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 y (/.f64 (neg.f64 z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))

eval146.0ms (1%)

Compiler: Compiled 8820 to 2832 computations (67.9% saved)

prune177.0ms (1.2%)

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	464	1	465
Fresh	0	7	7
Picked	0	1	1
Done	0	8	8
Total	464	17	481

Error

Counts

481 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.0b	(*.f64 (/.f64 (-.f64 t z) a) y)
▶	52.5b	(/.f64 y (/.f64 a t))
	58.3b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (.f64 y t) (sqrt.f64 a)))
✓	51.1b	(*.f64 (/.f64 z a) (neg.f64 y))
▶	27.7b	(fma.f64 y (cbrt.f64 (pow.f64 (/.f64 (-.f64 t z) a) 3)) x)
	28.3b	x
✓	49.7b	(*.f64 t (/.f64 y a))
✓	62.3b	(/.f64 (*.f64 z y) a)
✓	5.5b	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
✓	52.5b	(*.f64 y (/.f64 t a))
	38.4b	(/.f64 (*.f64 y (-.f64 t z)) a)
✓	17.0b	(-.f64 x (/.f64 (*.f64 y z) a))
▶	49.6b	(/.f64 t (/.f64 a y))
▶	48.1b	(*.f64 z (/.f64 (neg.f64 y) a))
✓	15.6b	(+.f64 (*.f64 (/.f64 y a) t) x)
✓	51.0b	(/.f64 (*.f64 y t) a)
✓	50.0b	(/.f64 (*.f64 z y) (neg.f64 a))

Compiler

Compiled 280 to 194 computations (30.7% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 t z) a)
✓	0.2b	(pow.f64 (/.f64 (-.f64 t z) a) 3)
✓	8.6b	(fma.f64 y (cbrt.f64 (pow.f64 (/.f64 (-.f64 t z) a) 3)) x)
✓	25.9b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 t z) a) 3))

Compiler

Compiled 45 to 17 computations (62.2% saved)

series88.0ms (0.6%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Point	Expression
56.0ms	z	@	-inf	(pow.f64 (/.f64 (-.f64 t z) a) 3)
6.0ms	a	@	-inf	(cbrt.f64 (pow.f64 (/.f64 (-.f64 t z) a) 3))
3.0ms	t	@	-inf	(cbrt.f64 (pow.f64 (/.f64 (-.f64 t z) a) 3))
2.0ms	t	@	0	(pow.f64 (/.f64 (-.f64 t z) a) 3)
1.0ms	a	@	0	(pow.f64 (/.f64 (-.f64 t z) a) 3)

rewrite279.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

610×	`prod-diff_binary64`
604×	`log-prod_binary64`
327×	`pow2_binary64`
224×	`fma-def_binary64`
222×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	269	28
2	3425	28

Stop Event

1×	node limit

Counts

3 → 261

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (/.f64 (-.f64 t z) a) 3))
(fma.f64 y (cbrt.f64 (pow.f64 (/.f64 (-.f64 t z) a) 3)) x)
(pow.f64 (/.f64 (-.f64 t z) a) 3)

Outputs

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

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

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

simplify222.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

686×	`fma-def_binary64`
335×	`distribute-rgt-neg-in_binary64`
295×	`times-frac_binary64`
293×	`associate-r_binary64`
291×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	2044
1	365	2011
2	1238	1938
3	6013	1758

Stop Event

1×	node limit

Counts

393 → 316

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 z a))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(/.f64 t a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) t) a))
(+.f64 (/.f64 (.f64 (cbrt.f64 -1) z) a) (.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) t) a)))
(+.f64 (/.f64 (.f64 (cbrt.f64 -1) z) a) (.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) t) a)))
(+.f64 (/.f64 (.f64 (cbrt.f64 -1) z) a) (.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) t) a)))
(/.f64 t a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(*.f64 -1 (/.f64 z a))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(*.f64 -1 (/.f64 z a))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(/.f64 (-.f64 t z) a)
(/.f64 (-.f64 t z) a)
(/.f64 (-.f64 t z) a)
(/.f64 (-.f64 t z) a)
(/.f64 (-.f64 t z) a)
(/.f64 (-.f64 t z) a)
(/.f64 (-.f64 t z) a)
(/.f64 (-.f64 t z) a)
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (-.f64 t z)) a))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (-.f64 t z)) a))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (-.f64 t z)) a))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (-.f64 t z)) a))
x
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(.f64 -1 (/.f64 (.f64 y (*.f64 t (cbrt.f64 -1))) a))
(+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 t (cbrt.f64 -1))) a)) (+.f64 x (/.f64 (.f64 y (*.f64 (cbrt.f64 -1) z)) a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 t (cbrt.f64 -1))) a)) (+.f64 x (/.f64 (.f64 y (*.f64 (cbrt.f64 -1) z)) a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 t (cbrt.f64 -1))) a)) (+.f64 x (/.f64 (.f64 y (*.f64 (cbrt.f64 -1) z)) a)))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 (.f64 -1 (/.f64 (*.f64 y z) a)) x))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 (.f64 -1 (/.f64 (*.f64 y z) a)) x))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 (.f64 -1 (/.f64 (*.f64 y z) a)) x))
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y (*.f64 (cbrt.f64 -1) (-.f64 t z))) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (*.f64 (cbrt.f64 -1) (-.f64 t z))) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (*.f64 (cbrt.f64 -1) (-.f64 t z))) a)) x)
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3))) (.f64 (+.f64 (/.f64 (pow.f64 z 2) (pow.f64 a 3)) (*.f64 2 (/.f64 (pow.f64 z 2) (pow.f64 a 3)))) t))
(+.f64 (.f64 (pow.f64 t 2) (+.f64 (.f64 -2 (/.f64 z (pow.f64 a 3))) (.f64 -1 (/.f64 z (pow.f64 a 3))))) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3))) (.f64 (+.f64 (/.f64 (pow.f64 z 2) (pow.f64 a 3)) (.f64 2 (/.f64 (pow.f64 z 2) (pow.f64 a 3)))) t)))
(+.f64 (.f64 (pow.f64 t 2) (+.f64 (.f64 -2 (/.f64 z (pow.f64 a 3))) (.f64 -1 (/.f64 z (pow.f64 a 3))))) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 z 2) (pow.f64 a 3)) (.f64 2 (/.f64 (pow.f64 z 2) (pow.f64 a 3)))) t) (/.f64 (pow.f64 t 3) (pow.f64 a 3)))))
(/.f64 (pow.f64 t 3) (pow.f64 a 3))
(+.f64 (.f64 (pow.f64 t 2) (+.f64 (.f64 -2 (/.f64 z (pow.f64 a 3))) (*.f64 -1 (/.f64 z (pow.f64 a 3))))) (/.f64 (pow.f64 t 3) (pow.f64 a 3)))
(+.f64 (.f64 (pow.f64 t 2) (+.f64 (.f64 -2 (/.f64 z (pow.f64 a 3))) (.f64 -1 (/.f64 z (pow.f64 a 3))))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 z 2) (pow.f64 a 3)) (*.f64 2 (/.f64 (pow.f64 z 2) (pow.f64 a 3)))) t) (/.f64 (pow.f64 t 3) (pow.f64 a 3))))
(+.f64 (.f64 (pow.f64 t 2) (+.f64 (.f64 -2 (/.f64 z (pow.f64 a 3))) (.f64 -1 (/.f64 z (pow.f64 a 3))))) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3))) (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 z 2) (pow.f64 a 3)) (.f64 2 (/.f64 (pow.f64 z 2) (pow.f64 a 3)))) t) (/.f64 (pow.f64 t 3) (pow.f64 a 3)))))
(/.f64 (pow.f64 t 3) (pow.f64 a 3))
(+.f64 (.f64 (pow.f64 t 2) (+.f64 (.f64 -2 (/.f64 z (pow.f64 a 3))) (*.f64 -1 (/.f64 z (pow.f64 a 3))))) (/.f64 (pow.f64 t 3) (pow.f64 a 3)))
(+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -2 (/.f64 (pow.f64 z 2) (pow.f64 a 3))) (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 a 3)))))) (+.f64 (.f64 (pow.f64 t 2) (+.f64 (.f64 -2 (/.f64 z (pow.f64 a 3))) (*.f64 -1 (/.f64 z (pow.f64 a 3))))) (/.f64 (pow.f64 t 3) (pow.f64 a 3))))
(+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -2 (/.f64 (pow.f64 z 2) (pow.f64 a 3))) (.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 a 3)))))) (+.f64 (.f64 (pow.f64 t 2) (+.f64 (.f64 -2 (/.f64 z (pow.f64 a 3))) (.f64 -1 (/.f64 z (pow.f64 a 3))))) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3))) (/.f64 (pow.f64 t 3) (pow.f64 a 3)))))
(/.f64 (pow.f64 t 3) (pow.f64 a 3))
(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 t 2) (pow.f64 a 3))) (*.f64 -2 (/.f64 (pow.f64 t 2) (pow.f64 a 3)))) z) (/.f64 (pow.f64 t 3) (pow.f64 a 3)))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 t (pow.f64 a 3))) (/.f64 t (pow.f64 a 3))) (pow.f64 z 2)) (+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 t 2) (pow.f64 a 3))) (*.f64 -2 (/.f64 (pow.f64 t 2) (pow.f64 a 3)))) z) (/.f64 (pow.f64 t 3) (pow.f64 a 3))))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 t (pow.f64 a 3))) (/.f64 t (pow.f64 a 3))) (pow.f64 z 2)) (+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 t 2) (pow.f64 a 3))) (.f64 -2 (/.f64 (pow.f64 t 2) (pow.f64 a 3)))) z) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3))) (/.f64 (pow.f64 t 3) (pow.f64 a 3)))))
(*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3)))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 t (pow.f64 a 3))) (/.f64 t (pow.f64 a 3))) (pow.f64 z 2)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3))))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 t (pow.f64 a 3))) (/.f64 t (pow.f64 a 3))) (pow.f64 z 2)) (+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 t 2) (pow.f64 a 3))) (.f64 -2 (/.f64 (pow.f64 t 2) (pow.f64 a 3)))) z) (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3)))))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 t (pow.f64 a 3))) (/.f64 t (pow.f64 a 3))) (pow.f64 z 2)) (+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 t 2) (pow.f64 a 3))) (.f64 -2 (/.f64 (pow.f64 t 2) (pow.f64 a 3)))) z) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3))) (/.f64 (pow.f64 t 3) (pow.f64 a 3)))))
(*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3)))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 t (pow.f64 a 3))) (/.f64 t (pow.f64 a 3))) (pow.f64 z 2)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3))))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 t (pow.f64 a 3))) (/.f64 t (pow.f64 a 3))) (pow.f64 z 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3))) (.f64 -1 (.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 a 3))) (/.f64 (pow.f64 t 2) (pow.f64 a 3))) z))))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 t (pow.f64 a 3))) (/.f64 t (pow.f64 a 3))) (pow.f64 z 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 a 3))) (/.f64 (pow.f64 t 2) (pow.f64 a 3))) z)) (/.f64 (pow.f64 t 3) (pow.f64 a 3)))))
(/.f64 (pow.f64 (-.f64 t z) 3) (pow.f64 a 3))
(/.f64 (pow.f64 (-.f64 t z) 3) (pow.f64 a 3))
(/.f64 (pow.f64 (-.f64 t z) 3) (pow.f64 a 3))
(/.f64 (pow.f64 (-.f64 t z) 3) (pow.f64 a 3))
(/.f64 (pow.f64 (-.f64 t z) 3) (pow.f64 a 3))
(/.f64 (pow.f64 (-.f64 t z) 3) (pow.f64 a 3))
(/.f64 (pow.f64 (-.f64 t z) 3) (pow.f64 a 3))
(/.f64 (pow.f64 (-.f64 t z) 3) (pow.f64 a 3))
(/.f64 (pow.f64 (-.f64 t z) 3) (pow.f64 a 3))
(/.f64 (pow.f64 (-.f64 t z) 3) (pow.f64 a 3))
(/.f64 (pow.f64 (-.f64 t z) 3) (pow.f64 a 3))
(/.f64 (pow.f64 (-.f64 t z) 3) (pow.f64 a 3))

Outputs
(*.f64 -1 (/.f64 z a))
(neg.f64 (/.f64 z a))
(/.f64 (neg.f64 z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(/.f64 (-.f64 t z) a)
(/.f64 t a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(/.f64 (-.f64 t z) a)
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) t) a))
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 a t)))
(neg.f64 (*.f64 (/.f64 (cbrt.f64 -1) a) t))
(*.f64 (/.f64 (cbrt.f64 -1) a) (neg.f64 t))
(*.f64 t (neg.f64 (/.f64 (cbrt.f64 -1) a)))
(+.f64 (/.f64 (.f64 (cbrt.f64 -1) z) a) (.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) t) a)))
(+.f64 (neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 a t))) (/.f64 (cbrt.f64 -1) (/.f64 a z)))
(-.f64 (.f64 (/.f64 (cbrt.f64 -1) a) z) (.f64 (/.f64 (cbrt.f64 -1) a) t))
(*.f64 (/.f64 (cbrt.f64 -1) a) (-.f64 z t))
(+.f64 (/.f64 (.f64 (cbrt.f64 -1) z) a) (.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) t) a)))
(+.f64 (neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 a t))) (/.f64 (cbrt.f64 -1) (/.f64 a z)))
(-.f64 (.f64 (/.f64 (cbrt.f64 -1) a) z) (.f64 (/.f64 (cbrt.f64 -1) a) t))
(*.f64 (/.f64 (cbrt.f64 -1) a) (-.f64 z t))
(+.f64 (/.f64 (.f64 (cbrt.f64 -1) z) a) (.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) t) a)))
(+.f64 (neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 a t))) (/.f64 (cbrt.f64 -1) (/.f64 a z)))
(-.f64 (.f64 (/.f64 (cbrt.f64 -1) a) z) (.f64 (/.f64 (cbrt.f64 -1) a) t))
(*.f64 (/.f64 (cbrt.f64 -1) a) (-.f64 z t))
(/.f64 t a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(/.f64 (-.f64 t z) a)
(*.f64 -1 (/.f64 z a))
(neg.f64 (/.f64 z a))
(/.f64 (neg.f64 z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(/.f64 (-.f64 t z) a)
(*.f64 -1 (/.f64 z a))
(neg.f64 (/.f64 z a))
(/.f64 (neg.f64 z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(/.f64 (-.f64 t z) a)
(/.f64 (-.f64 t z) a)
(/.f64 (-.f64 t z) a)
(/.f64 (-.f64 t z) a)
(/.f64 (-.f64 t z) a)
(/.f64 (-.f64 t z) a)
(/.f64 (-.f64 t z) a)
(/.f64 (-.f64 t z) a)
(/.f64 (-.f64 t z) a)
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (-.f64 t z)) a))
(+.f64 (neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 a t))) (/.f64 (cbrt.f64 -1) (/.f64 a z)))
(-.f64 (.f64 (/.f64 (cbrt.f64 -1) a) z) (.f64 (/.f64 (cbrt.f64 -1) a) t))
(*.f64 (/.f64 (cbrt.f64 -1) a) (-.f64 z t))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (-.f64 t z)) a))
(+.f64 (neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 a t))) (/.f64 (cbrt.f64 -1) (/.f64 a z)))
(-.f64 (.f64 (/.f64 (cbrt.f64 -1) a) z) (.f64 (/.f64 (cbrt.f64 -1) a) t))
(*.f64 (/.f64 (cbrt.f64 -1) a) (-.f64 z t))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (-.f64 t z)) a))
(+.f64 (neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 a t))) (/.f64 (cbrt.f64 -1) (/.f64 a z)))
(-.f64 (.f64 (/.f64 (cbrt.f64 -1) a) z) (.f64 (/.f64 (cbrt.f64 -1) a) t))
(*.f64 (/.f64 (cbrt.f64 -1) a) (-.f64 z t))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 -1) (-.f64 t z)) a))
(+.f64 (neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 a t))) (/.f64 (cbrt.f64 -1) (/.f64 a z)))
(-.f64 (.f64 (/.f64 (cbrt.f64 -1) a) z) (.f64 (/.f64 (cbrt.f64 -1) a) t))
(*.f64 (/.f64 (cbrt.f64 -1) a) (-.f64 z t))
x
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(*.f64 (/.f64 (-.f64 t z) a) y)
(*.f64 (/.f64 y a) (-.f64 t z))
(*.f64 (-.f64 t z) (/.f64 y a))
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(/.f64 (*.f64 y (-.f64 t z)) a)
(*.f64 (/.f64 (-.f64 t z) a) y)
(*.f64 (/.f64 y a) (-.f64 t z))
(*.f64 (-.f64 t z) (/.f64 y a))
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(.f64 -1 (/.f64 (.f64 y (*.f64 t (cbrt.f64 -1))) a))
(neg.f64 (/.f64 y (/.f64 a (*.f64 t (cbrt.f64 -1)))))
(/.f64 (.f64 (.f64 (neg.f64 t) (cbrt.f64 -1)) y) a)
(.f64 (/.f64 y a) (.f64 t (neg.f64 (cbrt.f64 -1))))
(.f64 (.f64 t (/.f64 (cbrt.f64 -1) a)) (neg.f64 y))
(+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 t (cbrt.f64 -1))) a)) (+.f64 x (/.f64 (.f64 y (*.f64 (cbrt.f64 -1) z)) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (.f64 t (cbrt.f64 -1)))) (+.f64 x (/.f64 y (/.f64 a (.f64 z (cbrt.f64 -1))))))
(-.f64 (+.f64 x (/.f64 (.f64 z (cbrt.f64 -1)) (/.f64 a y))) (/.f64 y (/.f64 a (.f64 t (cbrt.f64 -1)))))
(-.f64 (fma.f64 (/.f64 y a) (.f64 z (cbrt.f64 -1)) x) (.f64 (*.f64 t (/.f64 (cbrt.f64 -1) a)) y))
(+.f64 x (.f64 (.f64 (/.f64 (cbrt.f64 -1) a) (-.f64 z t)) y))
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(fma.f64 z (/.f64 (*.f64 t t) (/.f64 (pow.f64 a 3) -3)) (/.f64 (pow.f64 t 3) (pow.f64 a 3)))
(fma.f64 z (/.f64 (*.f64 t -3) (/.f64 (pow.f64 a 3) t)) (pow.f64 (/.f64 t a) 3))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 t (pow.f64 a 3))) (/.f64 t (pow.f64 a 3))) (pow.f64 z 2)) (+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 t 2) (pow.f64 a 3))) (*.f64 -2 (/.f64 (pow.f64 t 2) (pow.f64 a 3)))) z) (/.f64 (pow.f64 t 3) (pow.f64 a 3))))
(fma.f64 (.f64 t t) (.f64 (/.f64 z (pow.f64 a 3)) -3) (fma.f64 (.f64 3 (/.f64 (.f64 z z) (pow.f64 a 3))) t (/.f64 (pow.f64 t 3) (pow.f64 a 3))))
(fma.f64 (.f64 t t) (/.f64 (.f64 z -3) (pow.f64 a 3)) (fma.f64 t (.f64 3 (/.f64 (.f64 z z) (pow.f64 a 3))) (/.f64 (pow.f64 t 3) (pow.f64 a 3))))
(fma.f64 z (/.f64 (.f64 t t) (/.f64 (pow.f64 a 3) -3)) (fma.f64 z (/.f64 (.f64 z (*.f64 t 3)) (pow.f64 a 3)) (/.f64 (pow.f64 t 3) (pow.f64 a 3))))
(fma.f64 z (/.f64 (.f64 t -3) (/.f64 (pow.f64 a 3) t)) (fma.f64 z (.f64 3 (*.f64 (/.f64 t (pow.f64 a 3)) z)) (pow.f64 (/.f64 t a) 3)))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 t (pow.f64 a 3))) (/.f64 t (pow.f64 a 3))) (pow.f64 z 2)) (+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 t 2) (pow.f64 a 3))) (.f64 -2 (/.f64 (pow.f64 t 2) (pow.f64 a 3)))) z) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3))) (/.f64 (pow.f64 t 3) (pow.f64 a 3)))))
(fma.f64 (.f64 t t) (.f64 (/.f64 z (pow.f64 a 3)) -3) (fma.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3)) (fma.f64 (.f64 3 (/.f64 (.f64 z z) (pow.f64 a 3))) t (/.f64 (pow.f64 t 3) (pow.f64 a 3)))))
(fma.f64 (.f64 t t) (/.f64 (.f64 z -3) (pow.f64 a 3)) (-.f64 (fma.f64 t (.f64 3 (/.f64 (.f64 z z) (pow.f64 a 3))) (/.f64 (pow.f64 t 3) (pow.f64 a 3))) (/.f64 (pow.f64 z 3) (pow.f64 a 3))))
(fma.f64 z (/.f64 (.f64 z (.f64 t 3)) (pow.f64 a 3)) (-.f64 (/.f64 (pow.f64 t 3) (pow.f64 a 3)) (fma.f64 3 (.f64 z (.f64 (/.f64 t (pow.f64 a 3)) t)) (/.f64 (pow.f64 z 3) (pow.f64 a 3)))))
(-.f64 (fma.f64 z (.f64 3 (.f64 (/.f64 t (pow.f64 a 3)) z)) (pow.f64 (/.f64 t a) 3)) (fma.f64 z (.f64 3 (.f64 (/.f64 t (pow.f64 a 3)) t)) (pow.f64 (/.f64 z a) 3)))
(*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3)))
(neg.f64 (/.f64 (pow.f64 z 3) (pow.f64 a 3)))
(/.f64 (neg.f64 (pow.f64 z 3)) (pow.f64 a 3))
(neg.f64 (pow.f64 (/.f64 z a) 3))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 t (pow.f64 a 3))) (/.f64 t (pow.f64 a 3))) (pow.f64 z 2)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3))))
(fma.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3)) (.f64 t (.f64 3 (/.f64 (*.f64 z z) (pow.f64 a 3)))))
(-.f64 (.f64 t (.f64 3 (/.f64 (*.f64 z z) (pow.f64 a 3)))) (/.f64 (pow.f64 z 3) (pow.f64 a 3)))
(-.f64 (.f64 z (/.f64 (.f64 z (*.f64 t 3)) (pow.f64 a 3))) (/.f64 (pow.f64 z 3) (pow.f64 a 3)))
(-.f64 (.f64 t (.f64 3 (/.f64 (*.f64 z z) (pow.f64 a 3)))) (pow.f64 (/.f64 z a) 3))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 t (pow.f64 a 3))) (/.f64 t (pow.f64 a 3))) (pow.f64 z 2)) (+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 t 2) (pow.f64 a 3))) (.f64 -2 (/.f64 (pow.f64 t 2) (pow.f64 a 3)))) z) (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3)))))
(fma.f64 (.f64 t t) (.f64 (/.f64 z (pow.f64 a 3)) -3) (fma.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3)) (.f64 t (.f64 3 (/.f64 (*.f64 z z) (pow.f64 a 3))))))
(fma.f64 (.f64 t t) (/.f64 (.f64 z -3) (pow.f64 a 3)) (-.f64 (.f64 t (.f64 3 (/.f64 (*.f64 z z) (pow.f64 a 3)))) (/.f64 (pow.f64 z 3) (pow.f64 a 3))))
(-.f64 (.f64 t (+.f64 (.f64 3 (/.f64 z (/.f64 (pow.f64 a 3) z))) (*.f64 t (/.f64 z (/.f64 (pow.f64 a 3) -3))))) (/.f64 (pow.f64 z 3) (pow.f64 a 3)))
(-.f64 (.f64 z (+.f64 (/.f64 (.f64 t -3) (/.f64 (pow.f64 a 3) t)) (.f64 3 (.f64 (/.f64 t (pow.f64 a 3)) z)))) (pow.f64 (/.f64 z a) 3))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 t (pow.f64 a 3))) (/.f64 t (pow.f64 a 3))) (pow.f64 z 2)) (+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 t 2) (pow.f64 a 3))) (.f64 -2 (/.f64 (pow.f64 t 2) (pow.f64 a 3)))) z) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3))) (/.f64 (pow.f64 t 3) (pow.f64 a 3)))))
(fma.f64 (.f64 t t) (.f64 (/.f64 z (pow.f64 a 3)) -3) (fma.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3)) (fma.f64 (.f64 3 (/.f64 (.f64 z z) (pow.f64 a 3))) t (/.f64 (pow.f64 t 3) (pow.f64 a 3)))))
(fma.f64 (.f64 t t) (/.f64 (.f64 z -3) (pow.f64 a 3)) (-.f64 (fma.f64 t (.f64 3 (/.f64 (.f64 z z) (pow.f64 a 3))) (/.f64 (pow.f64 t 3) (pow.f64 a 3))) (/.f64 (pow.f64 z 3) (pow.f64 a 3))))
(fma.f64 z (/.f64 (.f64 z (.f64 t 3)) (pow.f64 a 3)) (-.f64 (/.f64 (pow.f64 t 3) (pow.f64 a 3)) (fma.f64 3 (.f64 z (.f64 (/.f64 t (pow.f64 a 3)) t)) (/.f64 (pow.f64 z 3) (pow.f64 a 3)))))
(-.f64 (fma.f64 z (.f64 3 (.f64 (/.f64 t (pow.f64 a 3)) z)) (pow.f64 (/.f64 t a) 3)) (fma.f64 z (.f64 3 (.f64 (/.f64 t (pow.f64 a 3)) t)) (pow.f64 (/.f64 z a) 3)))
(*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3)))
(neg.f64 (/.f64 (pow.f64 z 3) (pow.f64 a 3)))
(/.f64 (neg.f64 (pow.f64 z 3)) (pow.f64 a 3))
(neg.f64 (pow.f64 (/.f64 z a) 3))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 t (pow.f64 a 3))) (/.f64 t (pow.f64 a 3))) (pow.f64 z 2)) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3))))
(fma.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3)) (.f64 t (.f64 3 (/.f64 (*.f64 z z) (pow.f64 a 3)))))
(-.f64 (.f64 t (.f64 3 (/.f64 (*.f64 z z) (pow.f64 a 3)))) (/.f64 (pow.f64 z 3) (pow.f64 a 3)))
(-.f64 (.f64 z (/.f64 (.f64 z (*.f64 t 3)) (pow.f64 a 3))) (/.f64 (pow.f64 z 3) (pow.f64 a 3)))
(-.f64 (.f64 t (.f64 3 (/.f64 (*.f64 z z) (pow.f64 a 3)))) (pow.f64 (/.f64 z a) 3))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 t (pow.f64 a 3))) (/.f64 t (pow.f64 a 3))) (pow.f64 z 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3))) (.f64 -1 (.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 a 3))) (/.f64 (pow.f64 t 2) (pow.f64 a 3))) z))))
(fma.f64 (.f64 t t) (.f64 (/.f64 z (pow.f64 a 3)) -3) (fma.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3)) (.f64 t (.f64 3 (/.f64 (*.f64 z z) (pow.f64 a 3))))))
(fma.f64 (.f64 t t) (/.f64 (.f64 z -3) (pow.f64 a 3)) (-.f64 (.f64 t (.f64 3 (/.f64 (*.f64 z z) (pow.f64 a 3)))) (/.f64 (pow.f64 z 3) (pow.f64 a 3))))
(-.f64 (.f64 t (+.f64 (.f64 3 (/.f64 z (/.f64 (pow.f64 a 3) z))) (*.f64 t (/.f64 z (/.f64 (pow.f64 a 3) -3))))) (/.f64 (pow.f64 z 3) (pow.f64 a 3)))
(-.f64 (.f64 z (+.f64 (/.f64 (.f64 t -3) (/.f64 (pow.f64 a 3) t)) (.f64 3 (.f64 (/.f64 t (pow.f64 a 3)) z)))) (pow.f64 (/.f64 z a) 3))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 t (pow.f64 a 3))) (/.f64 t (pow.f64 a 3))) (pow.f64 z 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 a 3))) (/.f64 (pow.f64 t 2) (pow.f64 a 3))) z)) (/.f64 (pow.f64 t 3) (pow.f64 a 3)))))
(fma.f64 (.f64 t t) (.f64 (/.f64 z (pow.f64 a 3)) -3) (fma.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 a 3)) (fma.f64 (.f64 3 (/.f64 (.f64 z z) (pow.f64 a 3))) t (/.f64 (pow.f64 t 3) (pow.f64 a 3)))))
(fma.f64 (.f64 t t) (/.f64 (.f64 z -3) (pow.f64 a 3)) (-.f64 (fma.f64 t (.f64 3 (/.f64 (.f64 z z) (pow.f64 a 3))) (/.f64 (pow.f64 t 3) (pow.f64 a 3))) (/.f64 (pow.f64 z 3) (pow.f64 a 3))))
(fma.f64 z (/.f64 (.f64 z (.f64 t 3)) (pow.f64 a 3)) (-.f64 (/.f64 (pow.f64 t 3) (pow.f64 a 3)) (fma.f64 3 (.f64 z (.f64 (/.f64 t (pow.f64 a 3)) t)) (/.f64 (pow.f64 z 3) (pow.f64 a 3)))))
(-.f64 (fma.f64 z (.f64 3 (.f64 (/.f64 t (pow.f64 a 3)) z)) (pow.f64 (/.f64 t a) 3)) (fma.f64 z (.f64 3 (.f64 (/.f64 t (pow.f64 a 3)) t)) (pow.f64 (/.f64 z a) 3)))
(/.f64 (pow.f64 (-.f64 t z) 3) (pow.f64 a 3))
(pow.f64 (/.f64 (-.f64 t z) a) 3)
(/.f64 (pow.f64 (-.f64 t z) 3) (pow.f64 a 3))
(pow.f64 (/.f64 (-.f64 t z) a) 3)
(/.f64 (pow.f64 (-.f64 t z) 3) (pow.f64 a 3))
(pow.f64 (/.f64 (-.f64 t z) a) 3)
(/.f64 (pow.f64 (-.f64 t z) 3) (pow.f64 a 3))
(pow.f64 (/.f64 (-.f64 t z) a) 3)
(/.f64 (pow.f64 (-.f64 t z) 3) (pow.f64 a 3))
(pow.f64 (/.f64 (-.f64 t z) a) 3)
(/.f64 (pow.f64 (-.f64 t z) 3) (pow.f64 a 3))
(pow.f64 (/.f64 (-.f64 t z) a) 3)
(/.f64 (pow.f64 (-.f64 t z) 3) (pow.f64 a 3))
(pow.f64 (/.f64 (-.f64 t z) a) 3)
(/.f64 (pow.f64 (-.f64 t z) 3) (pow.f64 a 3))
(pow.f64 (/.f64 (-.f64 t z) a) 3)
(/.f64 (pow.f64 (-.f64 t z) 3) (pow.f64 a 3))
(pow.f64 (/.f64 (-.f64 t z) a) 3)
(/.f64 (pow.f64 (-.f64 t z) 3) (pow.f64 a 3))
(pow.f64 (/.f64 (-.f64 t z) a) 3)
(/.f64 (pow.f64 (-.f64 t z) 3) (pow.f64 a 3))
(pow.f64 (/.f64 (-.f64 t z) a) 3)
(/.f64 (pow.f64 (-.f64 t z) 3) (pow.f64 a 3))
(pow.f64 (/.f64 (-.f64 t z) a) 3)

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.5b	(/.f64 t (/.f64 a y))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite106.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`pow1_binary64`
724×	`add-log-exp_binary64`
724×	`log1p-expm1-u_binary64`
724×	`expm1-log1p-u_binary64`
707×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	131	7
2	1915	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(/.f64 t (/.f64 a y))

Outputs

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

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

77 → 42

Calls

Call 1

Inputs
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)

Outputs
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.7b	(/.f64 y (/.f64 a t))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite130.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`pow1_binary64`
724×	`add-log-exp_binary64`
724×	`log1p-expm1-u_binary64`
724×	`expm1-log1p-u_binary64`
707×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	131	7
2	1915	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(/.f64 y (/.f64 a t))

Outputs

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

simplify31.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

77 → 42

Calls

Call 1

Inputs
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)

Outputs
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.7b	(*.f64 z (/.f64 (neg.f64 y) a))

Compiler

Compiled 20 to 8 computations (60% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

695×	`pow1_binary64`
641×	`add-log-exp_binary64`
640×	`log1p-expm1-u_binary64`
640×	`expm1-log1p-u_binary64`
626×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2150	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(*.f64 z (/.f64 (neg.f64 y) a))

Outputs

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

simplify31.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
46×	`fma-neg_binary64`
24×	`sub-neg_binary64`
18×	`div-sub_binary64`
14×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Stop Event

1×

saturated

Counts

57 → 23

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))

Outputs
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 t z) a)
✓	10.4b	(*.f64 (/.f64 (-.f64 t z) a) y)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series7.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(*.f64 (/.f64 (-.f64 t z) a) y)
1.0ms	t	@	0	(*.f64 (/.f64 (-.f64 t z) a) y)
1.0ms	a	@	0	(*.f64 (/.f64 (-.f64 t z) a) y)
1.0ms	z	@	inf	(*.f64 (/.f64 (-.f64 t z) a) y)
1.0ms	t	@	-inf	(*.f64 (/.f64 (-.f64 t z) a) y)

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`prod-diff_binary64`
507×	`log-prod_binary64`
330×	`pow-prod-down_binary64`
258×	`pow2_binary64`
196×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	179	10
2	2682	10

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(*.f64 (/.f64 (-.f64 t z) a) y)

Outputs

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

simplify99.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

872×	`fma-def_binary64`
579×	`fma-neg_binary64`
155×	`cancel-sign-sub-inv_binary64`
106×	`distribute-rgt-in_binary64`
94×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	804
1	31	720
2	64	468
3	126	468
4	243	468
5	429	468
6	723	468
7	1186	468
8	2021	468
9	3046	468
10	3125	468
11	3155	468
12	3160	468
13	3160	468

Stop Event

1×

saturated

Counts

79 → 38

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)

Outputs
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (/.f64 (neg.f64 y) a) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 t (/.f64 y a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
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(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 t (/.f64 y a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
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(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
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(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
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(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 t (/.f64 y a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
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(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (/.f64 (neg.f64 y) a) z)
(*.f64 z (/.f64 (neg.f64 y) a))
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(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
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(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
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(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (/.f64 (neg.f64 y) a) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (neg.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a t)))
(-.f64 (/.f64 y (/.f64 a t)) (*.f64 (/.f64 y a) z))
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 y (/.f64 (-.f64 t z) a))

eval416.0ms (2.8%)

Compiler: Compiled 23294 to 8523 computations (63.4% saved)

prune275.0ms (1.9%)

Pruning

16 alts after pruning (4 fresh and 12 done)

	Pruned	Kept	Total
New	818	3	821
Fresh	2	1	3
Picked	1	0	1
Done	1	12	13
Total	822	16	838

Error

Counts

838 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	28.3b	x
✓	49.7b	(*.f64 t (/.f64 y a))
✓	62.3b	(/.f64 (*.f64 z y) a)
✓	5.5b	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
✓	52.5b	(*.f64 y (/.f64 t a))
	54.4b	(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 t z) a) 3)) y)
	51.1b	(*.f64 (/.f64 1 a) (/.f64 y (/.f64 1 t)))
✓	52.5b	(/.f64 y (/.f64 a t))
✓	17.0b	(-.f64 x (/.f64 (*.f64 y z) a))
✓	49.6b	(/.f64 t (/.f64 a y))
✓	51.1b	(*.f64 (/.f64 z a) (neg.f64 y))
✓	48.1b	(*.f64 z (/.f64 (neg.f64 y) a))
✓	15.6b	(+.f64 (*.f64 (/.f64 y a) t) x)
✓	51.0b	(/.f64 (*.f64 y t) a)
	35.2b	(/.f64 (-.f64 t z) (/.f64 a y))
✓	50.0b	(/.f64 (*.f64 z y) (neg.f64 a))

Compiler

Compiled 178 to 126 computations (29.2% saved)

regimes1.2s (8.3%)

Counts

25 → 3

Calls

Call 1

Inputs
x
x
(/.f64 y (/.f64 a t))
(/.f64 (*.f64 z y) a)
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(*.f64 t (/.f64 y a))
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 z y) (neg.f64 a))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 z (/.f64 (neg.f64 y) a))
(/.f64 (-.f64 t z) (/.f64 a y))
(+.f64 (*.f64 (/.f64 y a) t) x)
(*.f64 (/.f64 (-.f64 t z) a) y)
(-.f64 x (/.f64 (*.f64 y z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(-.f64 x (/.f64 (neg.f64 t) (/.f64 a y)))
(*.f64 (/.f64 1 a) (/.f64 y (/.f64 1 t)))
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 t z) a) 3)) y)
(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (.f64 y t) (sqrt.f64 a)))
(-.f64 x (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (-.f64 z t)) 3)) a))
(fma.f64 y (cbrt.f64 (pow.f64 (/.f64 (-.f64 t z) a) 3)) x)

Outputs
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
(fma.f64 y (/.f64 (-.f64 t z) a) x)

Calls

12 calls:

166.0ms	(-.f64 z t)
154.0ms	z
132.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
113.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
111.0ms	t

Results

Error	Segments	Branch
4.2b	3	`x`
0.7b	3	`y`
4.4b	3	`z`
3.4b	3	`t`
0.7b	3	`a`
0.3b	3	`(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))`
0.3b	3	`(/.f64 (*.f64 y (-.f64 z t)) a)`
0.3b	3	`(/.f64 (*.f64 y (-.f64 z t)) a)`
0.3b	3	`(*.f64 y (-.f64 z t))`
0.3b	3	`(*.f64 y (-.f64 z t))`
3.3b	3	`(-.f64 z t)`
3.3b	3	`(-.f64 z t)`

Compiler

Compiled 279 to 144 computations (48.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.2867435617453025e+219	9.727256732911913e+219
0.0ms	-3.878503595895376e+284	-2.6542899810306405e+265

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes564.0ms (3.8%)

Counts

20 → 3

Calls

Call 1

Inputs
x
x
(/.f64 y (/.f64 a t))
(/.f64 (*.f64 z y) a)
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(*.f64 t (/.f64 y a))
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 z y) (neg.f64 a))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 z (/.f64 (neg.f64 y) a))
(/.f64 (-.f64 t z) (/.f64 a y))
(+.f64 (*.f64 (/.f64 y a) t) x)
(*.f64 (/.f64 (-.f64 t z) a) y)
(-.f64 x (/.f64 (*.f64 y z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(-.f64 x (/.f64 (neg.f64 t) (/.f64 a y)))
(*.f64 (/.f64 1 a) (/.f64 y (/.f64 1 t)))
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

Outputs
(+.f64 (*.f64 (/.f64 y a) t) x)
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
(/.f64 (-.f64 t z) (/.f64 a y))

Calls

12 calls:

90.0ms	y
67.0ms	t
54.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
50.0ms	z
49.0ms	(*.f64 y (-.f64 z t))

Results

Error	Segments	Branch
5.5b	1	`x`
4.2b	3	`y`
4.4b	3	`z`
3.4b	3	`t`
5.5b	1	`a`
1.5b	3	`(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))`
1.5b	3	`(/.f64 (*.f64 y (-.f64 z t)) a)`
1.5b	3	`(/.f64 (*.f64 y (-.f64 z t)) a)`
1.7b	3	`(*.f64 y (-.f64 z t))`
1.7b	3	`(*.f64 y (-.f64 z t))`
4.5b	3	`(-.f64 z t)`
4.5b	3	`(-.f64 z t)`

Compiler

Compiled 227 to 125 computations (44.9% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.9118417599160736e+303	+inf
0.0ms	-inf	-2.40510292228713e+297

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes458.0ms (3.1%)

Counts

19 → 3

Calls

Call 1

Inputs
x
x
(/.f64 y (/.f64 a t))
(/.f64 (*.f64 z y) a)
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(*.f64 t (/.f64 y a))
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 z y) (neg.f64 a))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 z (/.f64 (neg.f64 y) a))
(/.f64 (-.f64 t z) (/.f64 a y))
(+.f64 (*.f64 (/.f64 y a) t) x)
(*.f64 (/.f64 (-.f64 t z) a) y)
(-.f64 x (/.f64 (*.f64 y z) a))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(-.f64 x (/.f64 (neg.f64 t) (/.f64 a y)))
(*.f64 (/.f64 1 a) (/.f64 y (/.f64 1 t)))

Outputs
(+.f64 (*.f64 (/.f64 y a) t) x)
(-.f64 x (/.f64 (*.f64 y z) a))
(+.f64 (*.f64 (/.f64 y a) t) x)

Calls

5 calls:

131.0ms	y
117.0ms	a
75.0ms	t
64.0ms	x
63.0ms	z

Results

Error	Segments	Branch
9.2b	3	`x`
10.0b	7	`y`
10.1b	3	`z`
7.9b	3	`t`
10.5b	5	`a`

Compiler

Compiled 144 to 70 computations (51.4% saved)

bsearch105.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	8.15853462450141e+73	4.3984973667105524e+79
72.0ms	-1.9326802475682665e-78	-2.5521014831280753e-81

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes742.0ms (5%)

Counts

14 → 5

Calls

Call 1

Inputs
x
x
(/.f64 y (/.f64 a t))
(/.f64 (*.f64 z y) a)
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(*.f64 t (/.f64 y a))
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 z y) (neg.f64 a))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 z (/.f64 (neg.f64 y) a))
(/.f64 (-.f64 t z) (/.f64 a y))
(+.f64 (*.f64 (/.f64 y a) t) x)
(*.f64 (/.f64 (-.f64 t z) a) y)

Outputs
(+.f64 (*.f64 (/.f64 y a) t) x)
(/.f64 (-.f64 t z) (/.f64 a y))
(+.f64 (*.f64 (/.f64 y a) t) x)
(*.f64 (/.f64 (-.f64 t z) a) y)
(+.f64 (*.f64 (/.f64 y a) t) x)

Calls

5 calls:

238.0ms	x
186.0ms	z
143.0ms	y
97.0ms	a
71.0ms	t

Results

Error	Segments	Branch
9.9b	5	`x`
14.1b	3	`y`
13.2b	4	`z`
13.2b	5	`t`
12.2b	5	`a`

Compiler

Compiled 106 to 55 computations (48.1% saved)

bsearch169.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
44.0ms	5.782056327887322e-111	5.476569095641456e-106
42.0ms	5.729421160739016e-126	4.978918824355656e-123
42.0ms	6.151314293952634e-168	4.6460784635179676e-160
42.0ms	-4.9235899911462975e-105	-1.2545293709540822e-107

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes145.0ms (1%)

Counts

13 → 5

Calls

Call 1

Inputs
x
x
(/.f64 y (/.f64 a t))
(/.f64 (*.f64 z y) a)
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(*.f64 t (/.f64 y a))
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 z y) (neg.f64 a))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 z (/.f64 (neg.f64 y) a))
(/.f64 (-.f64 t z) (/.f64 a y))
(+.f64 (*.f64 (/.f64 y a) t) x)

Outputs
(+.f64 (*.f64 (/.f64 y a) t) x)
(/.f64 (-.f64 t z) (/.f64 a y))
(+.f64 (*.f64 (/.f64 y a) t) x)
(/.f64 (-.f64 t z) (/.f64 a y))
(+.f64 (*.f64 (/.f64 y a) t) x)

Calls

5 calls:

44.0ms	x
38.0ms	a
29.0ms	z
22.0ms	t
8.0ms	y

Results

Error	Segments	Branch
9.9b	5	`x`
15.6b	1	`y`
13.2b	4	`z`
14.4b	3	`t`
12.2b	5	`a`

Compiler

Compiled 99 to 53 computations (46.5% saved)

bsearch124.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
30.0ms	5.782056327887322e-111	5.476569095641456e-106
25.0ms	5.729421160739016e-126	4.978918824355656e-123
40.0ms	6.151314293952634e-168	4.6460784635179676e-160
29.0ms	-4.9235899911462975e-105	-1.2545293709540822e-107

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes485.0ms (3.3%)

Counts

12 → 3

Calls

Call 1

Inputs
x
x
(/.f64 y (/.f64 a t))
(/.f64 (*.f64 z y) a)
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(*.f64 t (/.f64 y a))
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 z y) (neg.f64 a))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 z (/.f64 (neg.f64 y) a))
(/.f64 (-.f64 t z) (/.f64 a y))

Outputs
x
(/.f64 (-.f64 t z) (/.f64 a y))
x

Calls

5 calls:

162.0ms	t
151.0ms	a
93.0ms	y
45.0ms	z
29.0ms	x

Results

Error	Segments	Branch
14.1b	3	`x`
20.6b	9	`y`
23.6b	3	`z`
20.1b	10	`t`
17.3b	11	`a`

Compiler

Compiled 92 to 51 computations (44.6% saved)

bsearch46.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	6.442857047780397e-62	3.2609450214705782e-55
22.0ms	-1.0013054940819153e+55	-2.4162997172672793e+35

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes171.0ms (1.2%)

Counts

11 → 8

Calls

Call 1

Inputs
x
x
(/.f64 y (/.f64 a t))
(/.f64 (*.f64 z y) a)
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(*.f64 t (/.f64 y a))
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 z y) (neg.f64 a))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 z (/.f64 (neg.f64 y) a))

Outputs
x
(*.f64 t (/.f64 y a))
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (/.f64 t a))
(*.f64 z (/.f64 (neg.f64 y) a))
x
(*.f64 (/.f64 z a) (neg.f64 y))
x

Calls

5 calls:

55.0ms	x
37.0ms	t
30.0ms	a
28.0ms	z
18.0ms	y

Results

Error	Segments	Branch
19.5b	8	`x`
27.1b	3	`y`
25.9b	4	`z`
23.9b	6	`t`
25.0b	5	`a`

Compiler

Compiled 85 to 49 computations (42.4% saved)

bsearch149.0ms (1%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
22.0ms	6.442857047780397e-62	3.2609450214705782e-55
20.0ms	5.729421160739016e-126	4.978918824355656e-123
22.0ms	6.151314293952634e-168	4.6460784635179676e-160
21.0ms	1.3345476234698706e-235	4.939592261813719e-223
21.0ms	2.8951589409718027e-273	2.426763199263926e-269
21.0ms	2.393902066024469e-306	6.502369590545281e-306
21.0ms	-3.14204748956194e-61	-3.4896196747197003e-62

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes196.0ms (1.3%)

Counts

10 → 8

Calls

Call 1

Inputs
x
x
(/.f64 y (/.f64 a t))
(/.f64 (*.f64 z y) a)
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(*.f64 t (/.f64 y a))
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 z y) (neg.f64 a))
(*.f64 (/.f64 z a) (neg.f64 y))

Outputs
x
(*.f64 t (/.f64 y a))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 z y) (neg.f64 a))
x
(*.f64 (/.f64 z a) (neg.f64 y))
x

Calls

5 calls:

80.0ms	x
43.0ms	t
29.0ms	y
29.0ms	a
12.0ms	z

Results

Error	Segments	Branch
20.0b	8	`x`
27.1b	3	`y`
28.3b	1	`z`
23.9b	6	`t`
25.0b	5	`a`

Compiler

Compiled 79 to 47 computations (40.5% saved)

bsearch232.0ms (1.6%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
34.0ms	6.442857047780397e-62	3.2609450214705782e-55
33.0ms	5.729421160739016e-126	4.978918824355656e-123
34.0ms	2.424910321959504e-185	6.151314293952634e-168
32.0ms	1.3345476234698706e-235	4.939592261813719e-223
32.0ms	2.8951589409718027e-273	2.426763199263926e-269
33.0ms	2.393902066024469e-306	6.502369590545281e-306
33.0ms	-3.14204748956194e-61	-3.4896196747197003e-62

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes196.0ms (1.3%)

Counts

9 → 8

Calls

Call 1

Inputs
x
x
(/.f64 y (/.f64 a t))
(/.f64 (*.f64 z y) a)
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(*.f64 t (/.f64 y a))
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 z y) (neg.f64 a))

Outputs
x
(*.f64 t (/.f64 y a))
(/.f64 (*.f64 z y) (neg.f64 a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 z y) (neg.f64 a))
x
(/.f64 (*.f64 z y) (neg.f64 a))
x

Calls

5 calls:

74.0ms	x
53.0ms	t
45.0ms	a
11.0ms	y
10.0ms	z

Results

Error	Segments	Branch
20.0b	8	`x`
28.3b	1	`y`
28.3b	1	`z`
23.9b	6	`t`
25.0b	5	`a`

Compiler

Compiled 73 to 44 computations (39.7% saved)

bsearch228.0ms (1.5%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
33.0ms	6.442857047780397e-62	3.2609450214705782e-55
32.0ms	5.729421160739016e-126	4.978918824355656e-123
32.0ms	2.424910321959504e-185	6.151314293952634e-168
32.0ms	1.3345476234698706e-235	4.939592261813719e-223
33.0ms	2.8951589409718027e-273	2.426763199263926e-269
32.0ms	2.393902066024469e-306	6.502369590545281e-306
33.0ms	-3.14204748956194e-61	-3.4896196747197003e-62

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes120.0ms (0.8%)

Counts

8 → 3

Calls

Call 1

Inputs
x
x
(/.f64 y (/.f64 a t))
(/.f64 (*.f64 z y) a)
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(*.f64 t (/.f64 y a))
(/.f64 (*.f64 y t) a)

Outputs
x
(*.f64 t (/.f64 y a))
x

Calls

5 calls:

35.0ms	t
34.0ms	x
28.0ms	a
10.0ms	z
10.0ms	y

Results

Error	Segments	Branch
23.1b	3	`x`
28.3b	1	`y`
28.3b	1	`z`
25.1b	4	`t`
26.4b	3	`a`

Compiler

Compiled 67 to 42 computations (37.3% saved)

bsearch66.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	6.138373898763733e-158	1.4889229003229945e-150
34.0ms	-3.14204748956194e-61	-3.4896196747197003e-62

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes103.0ms (0.7%)

Counts

6 → 3

Calls

Call 1

Inputs
x
x
(/.f64 y (/.f64 a t))
(/.f64 (*.f64 z y) a)
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))

Outputs
x
(/.f64 t (/.f64 a y))
x

Calls

5 calls:

30.0ms	x
29.0ms	t
23.0ms	a
9.0ms	y
8.0ms	z

Results

Error	Segments	Branch
23.1b	3	`x`
28.3b	1	`y`
28.3b	1	`z`
25.1b	4	`t`
26.6b	3	`a`

Compiler

Compiled 57 to 38 computations (33.3% saved)

bsearch79.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	6.138373898763733e-158	1.4889229003229945e-150
37.0ms	-3.14204748956194e-61	-3.4896196747197003e-62

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes87.0ms (0.6%)

Counts

4 → 3

Calls

Call 1

Inputs
x
x
(/.f64 y (/.f64 a t))
(/.f64 (*.f64 z y) a)

Outputs
x
(/.f64 y (/.f64 a t))
x

Calls

5 calls:

32.0ms	x
24.0ms	t
9.0ms	a
9.0ms	y
9.0ms	z

Results

Error	Segments	Branch
25.3b	3	`x`
28.3b	1	`y`
28.3b	1	`z`
26.8b	3	`t`
28.3b	1	`a`

Compiler

Compiled 47 to 34 computations (27.7% saved)

bsearch81.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	6.138373898763733e-158	1.4889229003229945e-150
41.0ms	-4.507482250885998e-75	-1.1420221759217449e-82

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes39.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
x

Outputs
x

Calls

5 calls:

8.0ms	y
8.0ms	t
7.0ms	a
7.0ms	x
7.0ms	z

Results

Error	Segments	Branch
28.3b	1	`x`
28.3b	1	`y`
28.3b	1	`z`
28.3b	1	`t`
28.3b	1	`a`

Compiler

Compiled 37 to 30 computations (18.9% saved)

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

86×	`distribute-rgt-neg-in_binary64`
61×	`distribute-lft-neg-in_binary64`
58×	`cancel-sign-sub-inv_binary64`
57×	`neg-sub0_binary64`
57×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	664
1	141	664
2	173	664
3	210	664
4	229	664
5	249	664
6	272	664
7	299	664
8	338	664
9	390	664
10	431	664
11	480	664
12	563	664
13	641	664
14	690	664
15	711	664
16	721	664

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 y (-.f64 z t)) -200000000000000015842876501691535308251363838339942186816779868466887151795034205545089069114411529059504325666588836124813676426230104197677563914641752713707086241642983763505789334141041164451549418938435594261010114368138763297090749546488747114934452621501484084432923307385290752) (fma.f64 y (/.f64 (-.f64 t z) a) x) (if (<=.f64 (.f64 y (-.f64 z t)) 5999999999999999476977801430825200540894705094051628363603427483345577599455713984458677455981582032460973104328651704605879269431738148646516965894311960630125110144715242247897217557812256754717096139799845271511236608) (-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a)) (fma.f64 y (/.f64 (-.f64 t z) a) x)))
(if (<=.f64 (-.f64 x (/.f64 (.f64 y (-.f64 z t)) a)) -inf.0) (+.f64 (.f64 (/.f64 y a) t) x) (if (<=.f64 (-.f64 x (/.f64 (.f64 y (-.f64 z t)) a)) 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872) (-.f64 x (/.f64 (.f64 y (-.f64 z t)) a)) (/.f64 (-.f64 t z) (/.f64 a y))))
(if (<=.f64 t -8062851471457485/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) (+.f64 (.f64 (/.f64 y a) t) x) (if (<=.f64 t 81585346245014105226762566001143418453840778377337807777303320550709395456) (-.f64 x (/.f64 (.f64 y z) a)) (+.f64 (*.f64 (/.f64 y a) t) x)))
(if (<=.f64 x -6356969827193725/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (+.f64 (.f64 (/.f64 y a) t) x) (if (<=.f64 x 3267196727275091/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (/.f64 (-.f64 t z) (/.f64 a y)) (if (<=.f64 x 1091663342449145/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464) (+.f64 (.f64 (/.f64 y a) t) x) (if (<=.f64 x 3913997155769693/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144) (.f64 (/.f64 (-.f64 t z) a) y) (+.f64 (.f64 (/.f64 y a) t) x)))))
(if (<=.f64 x -6356969827193725/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (+.f64 (.f64 (/.f64 y a) t) x) (if (<=.f64 x 3267196727275091/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (/.f64 (-.f64 t z) (/.f64 a y)) (if (<=.f64 x 1091663342449145/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464) (+.f64 (.f64 (/.f64 y a) t) x) (if (<=.f64 x 3913997155769693/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144) (/.f64 (-.f64 t z) (/.f64 a y)) (+.f64 (*.f64 (/.f64 y a) t) x)))))
(if (<=.f64 x -10013054940819153069991169173922716444622456442461356032) x (if (<=.f64 x 7460318782198593/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 (-.f64 t z) (/.f64 a y)) x))
(if (<=.f64 x -4547803041240519/14474011154664524427946373126085988481658748083205070504932198000989141204992) x (if (<=.f64 x 7570799568130919/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (.f64 t (/.f64 y a)) (if (<=.f64 x 7053558248170623/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744) (.f64 z (/.f64 (neg.f64 y) a)) (if (<=.f64 x 7643996232636545/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (.f64 y (/.f64 t a)) (if (<=.f64 x 3267196727275091/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (.f64 z (/.f64 (neg.f64 y) a)) (if (<=.f64 x 1091663342449145/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464) x (if (<=.f64 x 7460318782198593/115792089237316195423570985008687907853269984665640564039457584007913129639936) (*.f64 (/.f64 z a) (neg.f64 y)) x)))))))
(if (<=.f64 x -4547803041240519/14474011154664524427946373126085988481658748083205070504932198000989141204992) x (if (<=.f64 x 7570799568130919/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (.f64 t (/.f64 y a)) (if (<=.f64 x 7053558248170623/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744) (.f64 (/.f64 z a) (neg.f64 y)) (if (<=.f64 x 7643996232636545/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (.f64 y (/.f64 t a)) (if (<=.f64 x 3712297720652543/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232) (/.f64 (.f64 z y) (neg.f64 a)) (if (<=.f64 x 1091663342449145/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464) x (if (<=.f64 x 7460318782198593/115792089237316195423570985008687907853269984665640564039457584007913129639936) (*.f64 (/.f64 z a) (neg.f64 y)) x)))))))
(if (<=.f64 x -4547803041240519/14474011154664524427946373126085988481658748083205070504932198000989141204992) x (if (<=.f64 x 7570799568130919/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (.f64 t (/.f64 y a)) (if (<=.f64 x 7053558248170623/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744) (/.f64 (.f64 z y) (neg.f64 a)) (if (<=.f64 x 7643996232636545/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (.f64 y (/.f64 t a)) (if (<=.f64 x 3712297720652543/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232) (/.f64 (.f64 z y) (neg.f64 a)) (if (<=.f64 x 1091663342449145/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464) x (if (<=.f64 x 7460318782198593/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 (*.f64 z y) (neg.f64 a)) x)))))))
(if (<=.f64 x -4547803041240519/14474011154664524427946373126085988481658748083205070504932198000989141204992) x (if (<=.f64 x 1897758100966575/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (*.f64 t (/.f64 y a)) x))
(if (<=.f64 x -4547803041240519/14474011154664524427946373126085988481658748083205070504932198000989141204992) x (if (<=.f64 x 1897758100966575/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (/.f64 t (/.f64 a y)) x))
(if (<=.f64 x -4590951753871963/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688) x (if (<=.f64 x 1897758100966575/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (/.f64 y (/.f64 a t)) x))
x

Outputs
(if (<=.f64 (.f64 y (-.f64 z t)) -200000000000000015842876501691535308251363838339942186816779868466887151795034205545089069114411529059504325666588836124813676426230104197677563914641752713707086241642983763505789334141041164451549418938435594261010114368138763297090749546488747114934452621501484084432923307385290752) (fma.f64 y (/.f64 (-.f64 t z) a) x) (if (<=.f64 (.f64 y (-.f64 z t)) 5999999999999999476977801430825200540894705094051628363603427483345577599455713984458677455981582032460973104328651704605879269431738148646516965894311960630125110144715242247897217557812256754717096139799845271511236608) (-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a)) (fma.f64 y (/.f64 (-.f64 t z) a) x)))
(if (<=.f64 (.f64 y (-.f64 z t)) -200000000000000015842876501691535308251363838339942186816779868466887151795034205545089069114411529059504325666588836124813676426230104197677563914641752713707086241642983763505789334141041164451549418938435594261010114368138763297090749546488747114934452621501484084432923307385290752) (fma.f64 y (/.f64 (-.f64 t z) a) x) (if (<=.f64 (.f64 y (-.f64 z t)) 5999999999999999476977801430825200540894705094051628363603427483345577599455713984458677455981582032460973104328651704605879269431738148646516965894311960630125110144715242247897217557812256754717096139799845271511236608) (+.f64 x (/.f64 (*.f64 y (-.f64 t z)) a)) (fma.f64 y (/.f64 (-.f64 t z) a) x)))
(if (<=.f64 (-.f64 x (/.f64 (.f64 y (-.f64 z t)) a)) -inf.0) (+.f64 (.f64 (/.f64 y a) t) x) (if (<=.f64 (-.f64 x (/.f64 (.f64 y (-.f64 z t)) a)) 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872) (-.f64 x (/.f64 (.f64 y (-.f64 z t)) a)) (/.f64 (-.f64 t z) (/.f64 a y))))
(if (<=.f64 (-.f64 x (/.f64 (.f64 y (-.f64 z t)) a)) -inf.0) (+.f64 x (.f64 t (/.f64 y a))) (if (<=.f64 (-.f64 x (/.f64 (.f64 y (-.f64 z t)) a)) 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872) (-.f64 x (/.f64 (.f64 y (-.f64 z t)) a)) (/.f64 (-.f64 t z) (/.f64 a y))))
(if (<=.f64 (+.f64 x (/.f64 (.f64 y (-.f64 t z)) a)) -inf.0) (+.f64 x (.f64 t (/.f64 y a))) (if (<=.f64 (+.f64 x (/.f64 (.f64 y (-.f64 t z)) a)) 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872) (+.f64 x (/.f64 (.f64 y (-.f64 t z)) a)) (/.f64 (-.f64 t z) (/.f64 a y))))
(if (<=.f64 t -8062851471457485/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) (+.f64 (.f64 (/.f64 y a) t) x) (if (<=.f64 t 81585346245014105226762566001143418453840778377337807777303320550709395456) (-.f64 x (/.f64 (.f64 y z) a)) (+.f64 (*.f64 (/.f64 y a) t) x)))
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(if (<=.f64 x -4547803041240519/14474011154664524427946373126085988481658748083205070504932198000989141204992) x (if (<=.f64 x 7570799568130919/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (.f64 t (/.f64 y a)) (if (<=.f64 x 7053558248170623/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744) (/.f64 (.f64 y z) (neg.f64 a)) (if (<=.f64 x 7643996232636545/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592) (.f64 y (/.f64 t a)) (if (<=.f64 x 3712297720652543/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232) (/.f64 (.f64 y z) (neg.f64 a)) (if (<=.f64 x 1091663342449145/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464) x (if (<=.f64 x 7460318782198593/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 (*.f64 y z) (neg.f64 a)) x)))))))
(if (<=.f64 x -4547803041240519/14474011154664524427946373126085988481658748083205070504932198000989141204992) x (if (<=.f64 x 1897758100966575/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (*.f64 t (/.f64 y a)) x))
(if (<=.f64 x -4547803041240519/14474011154664524427946373126085988481658748083205070504932198000989141204992) x (if (<=.f64 x 1897758100966575/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (/.f64 t (/.f64 a y)) x))
(if (<=.f64 x -4590951753871963/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688) x (if (<=.f64 x 1897758100966575/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (/.f64 y (/.f64 a t)) x))
x

Compiler

Compiled 524 to 267 computations (49% saved)

soundness199.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

783×	`fma-neg_binary64`
717×	`fma-def_binary64`
245×	`cancel-sign-sub-inv_binary64`
181×	`distribute-rgt-in_binary64`
139×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	17	13
2	39	13
3	107	13
4	327	11
5	879	11
6	1902	11
7	3302	11
8	3989	11
9	4045	11
10	4075	11
11	4080	11
12	4080	11

Stop Event

1×

saturated

Compiler

Compiled 206 to 136 computations (34% saved)

end277.0ms (1.9%)

Compiler: Compiled 464 to 164 computations (64.7% saved)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	116	664
1	141	664
2	173	664
3	210	664
4	229	664
5	249	664
6	272	664
7	299	664
8	338	664
9	390	664
10	431	664
11	480	664
12	563	664
13	641	664
14	690	664
15	711	664
16	721	664

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	116	664
1	141	664
2	173	664
3	210	664
4	229	664
5	249	664
6	272	664
7	299	664
8	338	664
9	390	664
10	431	664
11	480	664
12	563	664
13	641	664
14	690	664
15	711	664
16	721	664

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	116	664
1	141	664
2	173	664
3	210	664
4	229	664
5	249	664
6	272	664
7	299	664
8	338	664
9	390	664
10	431	664
11	480	664
12	563	664
13	641	664
14	690	664
15	711	664
16	721	664