Details

analyze358.0ms (3.9%)

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)

sample1.9s (20.2%)

Results

1.3s	8256×	body	256	valid
575.0ms	3413×	body	256	infinite

Bogosity

preprocess69.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

722×	`times-frac_binary64`
590×	`associate-/l*_binary64`
527×	`fma-neg_binary64`
389×	`sub-neg_binary64`
369×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	143
1	137	143
2	294	143
3	489	143
4	1106	143
5	2129	143
6	3022	143
7	6638	143
0	5	5
1	5	5

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
0
2
3
2
4

Call 2

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

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

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

828×	`fma-def_binary64`
389×	`fma-neg_binary64`
131×	`cancel-sign-sub-inv_binary64`
113×	`distribute-rgt-in_binary64`
111×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	21	13
2	46	13
3	77	13
4	161	13
5	292	13
6	483	13
7	733	13
8	1186	13
9	1761	13
10	2653	13
11	2740	13
12	2770	13
13	2775	13

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 23 to 12 computations (47.8% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

6.8b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.8b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (.f64 x y) (.f64 z t))
✓	6.5b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

Compiler

Compiled 32 to 9 computations (71.9% saved)

series14.0ms (0.2%)

Counts

2 → 108

Calls

27 calls:

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

rewrite69.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`log-prod_binary64`
420×	`fma-def_binary64`
406×	`pow-prod-down_binary64`
315×	`pow2_binary64`
220×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	227	23
2	3311	23

Stop Event

1×	node limit

Counts

2 → 234

Calls

Call 1

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

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

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

simplify128.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

704×	`times-frac_binary64`
507×	`fma-neg_binary64`
478×	`unswap-sqr_binary64`
189×	`log-prod_binary64`
167×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	459	5454
1	1079	4941
2	3452	4804

Stop Event

1×	node limit

Counts

342 → 297

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(/.f64 (*.f64 y x) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(/.f64 (*.f64 y x) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(/.f64 (*.f64 y x) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(/.f64 (*.f64 y x) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(/.f64 (*.f64 y x) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(/.f64 (*.f64 y x) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(.f64 -1 (.f64 t z))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(.f64 -1 (.f64 t z))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(.f64 -1 (.f64 t z))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(.f64 -1 (.f64 t z))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(.f64 -1 (.f64 t z))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(.f64 -1 (.f64 t z))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 t z)) (*.f64 y x))
(+.f64 (/.f64 x (/.f64 a y)) (neg.f64 (/.f64 z (/.f64 a t))))
(+.f64 0 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)))))
(-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a))) 1)
(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))
(.f64 (/.f64 (-.f64 (.f64 x y) (*.f64 z t)) a) 1)
(.f64 1 (/.f64 (-.f64 (.f64 x y) (*.f64 z t)) a))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x y) (.f64 z t)) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (/.f64 1 a)))
(.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (*.f64 z t)) a)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) 2) (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (*.f64 z t)) a)))
(.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (/.f64 1 a)))
(.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) (sqrt.f64 (/.f64 (-.f64 (.f64 x y) (*.f64 z t)) a)))
(.f64 (neg.f64 (-.f64 (.f64 x y) (*.f64 z t))) (/.f64 1 (neg.f64 a)))
(.f64 (/.f64 1 a) (-.f64 (.f64 x y) (*.f64 z t)))
(.f64 (pow.f64 (cbrt.f64 a) -2) (/.f64 (-.f64 (.f64 x y) (*.f64 z t)) (cbrt.f64 a)))
(.f64 (pow.f64 a -1/2) (/.f64 (-.f64 (.f64 x y) (*.f64 z t)) (sqrt.f64 a)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x y) (.f64 z t)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 (.f64 x y) (*.f64 z t))) a))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 z t))) 1) (/.f64 (sqrt.f64 (-.f64 (.f64 x y) (*.f64 z t))) a))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x y) (.f64 z t)) 2)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (*.f64 z t)) a)))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (-.f64 (.f64 x y) (*.f64 z t))) (cbrt.f64 a)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x y) (.f64 z t)) 2)) (sqrt.f64 a)) (/.f64 (cbrt.f64 (-.f64 (.f64 x y) (*.f64 z t))) (sqrt.f64 a)))
(pow.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) 2)
(pow.f64 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))) -1)
(pow.f64 (/.f64 (pow.f64 (-.f64 (.f64 x y) (.f64 z t)) 3) (pow.f64 a 3)) 1/3)
(pow.f64 (/.f64 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))) 1) -1)
(neg.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) (neg.f64 a)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (.f64 x y) (.f64 z t)) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)))
(exp.f64 (log.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (.f64 x y) (*.f64 z t)) a)) 1))
(fma.f64 (*.f64 x y) (/.f64 1 a) (neg.f64 (/.f64 z (/.f64 a t))))
(fma.f64 1 (/.f64 x (/.f64 a y)) (neg.f64 (/.f64 z (/.f64 a t))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 a y))) 2) (cbrt.f64 (/.f64 x (/.f64 a y))) (neg.f64 (/.f64 z (/.f64 a t))))
(fma.f64 (sqrt.f64 (/.f64 x (/.f64 a y))) (sqrt.f64 (/.f64 x (/.f64 a y))) (neg.f64 (/.f64 z (/.f64 a t))))
(fma.f64 (/.f64 x 1) (/.f64 y a) (neg.f64 (/.f64 z (/.f64 a t))))
(fma.f64 (/.f64 y 1) (/.f64 x a) (neg.f64 (/.f64 z (/.f64 a t))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (.f64 x y)) a) (neg.f64 (/.f64 z (/.f64 a t))))
(fma.f64 (/.f64 (sqrt.f64 (.f64 x y)) 1) (/.f64 (sqrt.f64 (.f64 x y)) a) (neg.f64 (/.f64 z (/.f64 a t))))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 a) 2)) (/.f64 y (cbrt.f64 a)) (neg.f64 (/.f64 z (/.f64 a t))))
(fma.f64 (/.f64 y (pow.f64 (cbrt.f64 a) 2)) (/.f64 x (cbrt.f64 a)) (neg.f64 (/.f64 z (/.f64 a t))))
(fma.f64 (pow.f64 (cbrt.f64 a) -2) (/.f64 (*.f64 x y) (cbrt.f64 a)) (neg.f64 (/.f64 z (/.f64 a t))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 a)) (neg.f64 (/.f64 z (/.f64 a t))))
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(fma.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (/.f64 1 (fma.f64 (.f64 z t) (fma.f64 x y (.f64 z t)) (pow.f64 (.f64 x y) 2))) (+.f64 (fma.f64 z (neg.f64 t) (.f64 z t)) (fma.f64 z (neg.f64 t) (*.f64 z t))))
(fma.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)) (/.f64 1 (fma.f64 x y (.f64 z t))) (fma.f64 z (neg.f64 t) (.f64 z t)))
(fma.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)) (/.f64 1 (fma.f64 x y (.f64 z t))) (fma.f64 (.f64 z (neg.f64 t)) 1 (*.f64 z t)))
(fma.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)) (/.f64 1 (fma.f64 x y (.f64 z t))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z t))) (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 z t)))
(fma.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)) (/.f64 1 (fma.f64 x y (.f64 z t))) (.f64 (fma.f64 z (neg.f64 t) (*.f64 z t)) 1))
(fma.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)) (/.f64 1 (fma.f64 x y (.f64 z t))) (+.f64 (fma.f64 z (neg.f64 t) (.f64 z t)) (fma.f64 z (neg.f64 t) (*.f64 z t))))
(fma.f64 (neg.f64 z) t (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 t) (.f64 z t))) 2) (cbrt.f64 (fma.f64 z (neg.f64 t) (.f64 z t))) (-.f64 (.f64 x y) (.f64 z t)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (neg.f64 t))) 2) (cbrt.f64 (.f64 z (neg.f64 t))) (*.f64 x y))
(fma.f64 (sqrt.f64 (fma.f64 z (neg.f64 t) (.f64 z t))) (sqrt.f64 (fma.f64 z (neg.f64 t) (.f64 z t))) (-.f64 (.f64 x y) (.f64 z t)))
(fma.f64 (sqrt.f64 (.f64 z (neg.f64 t))) (sqrt.f64 (.f64 z (neg.f64 t))) (*.f64 x y))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 z t))) (sqrt.f64 (.f64 z t)) (*.f64 x y))
(fma.f64 -1 (.f64 z t) (.f64 x y))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 z t))) (-.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 z t))) (fma.f64 z (neg.f64 t) (*.f64 z t)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 z t))) (-.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 z t))) (fma.f64 (.f64 z (neg.f64 t)) 1 (.f64 z t)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 z t))) (-.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 z t))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z t))) (pow.f64 (cbrt.f64 (.f64 z t)) 2) (*.f64 z t)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 z t))) (-.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 z t))) (.f64 (fma.f64 z (neg.f64 t) (.f64 z t)) 1))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 z t))) (-.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 z t))) (+.f64 (fma.f64 z (neg.f64 t) (.f64 z t)) (fma.f64 z (neg.f64 t) (.f64 z t))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2)) (cbrt.f64 (.f64 z t)) (*.f64 x y))
(fma.f64 (.f64 (neg.f64 z) 1) t (.f64 x y))
(fma.f64 (.f64 (neg.f64 z) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t) (.f64 x y))
(fma.f64 (.f64 (neg.f64 z) (sqrt.f64 t)) (sqrt.f64 t) (.f64 x y))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 z (neg.f64 t)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 (*.f64 z (neg.f64 t)) 1))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 z (neg.f64 t) (fma.f64 z (neg.f64 t) (.f64 z t))))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 (-.f64 (.f64 z t) (fma.f64 z (neg.f64 t) (*.f64 z t)))))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 z (neg.f64 t)))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 (*.f64 z (neg.f64 t)) 1))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 z (neg.f64 t) (fma.f64 z (neg.f64 t) (.f64 z t))))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (.f64 z t) (fma.f64 z (neg.f64 t) (*.f64 z t)))))
(fma.f64 (.f64 y (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (*.f64 z (neg.f64 t)))
(fma.f64 (.f64 y (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (.f64 (.f64 z (neg.f64 t)) 1))
(fma.f64 (.f64 y (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (fma.f64 z (neg.f64 t) (fma.f64 z (neg.f64 t) (*.f64 z t))))
(fma.f64 (.f64 y (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (neg.f64 (-.f64 (.f64 z t) (fma.f64 z (neg.f64 t) (.f64 z t)))))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (neg.f64 t)))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 (*.f64 z (neg.f64 t)) 1))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 z (neg.f64 t) (fma.f64 z (neg.f64 t) (.f64 z t))))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (.f64 z t) (fma.f64 z (neg.f64 t) (*.f64 z t)))))

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

eval76.0ms (0.8%)

Compiler: Compiled 5766 to 1408 computations (75.6% saved)

prune70.0ms (0.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	285	12	297
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	285	13	298

Error

Counts

298 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.8b	(fma.f64 (/.f64 y 1) (/.f64 x a) (neg.f64 (/.f64 z (/.f64 a t))))
	7.0b	(pow.f64 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))) -1)
	34.9b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) 2)
	7.8b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) 3) a)
✓	6.8b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
▶	33.0b	(/.f64 (*.f64 z (neg.f64 t)) a)
▶	31.4b	(/.f64 (*.f64 y x) a)
	30.3b	(/.f64 y (/.f64 a x))
▶	9.6b	(-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t)))
	36.7b	(-.f64 (.f64 (/.f64 x (sqrt.f64 a)) (/.f64 y (sqrt.f64 a))) (.f64 t (/.f64 z a)))
	33.1b	(*.f64 (/.f64 z a) (neg.f64 t))
	6.9b	(.f64 (/.f64 1 a) (-.f64 (.f64 x y) (*.f64 z t)))
▶	32.2b	(*.f64 x (/.f64 y a))

Compiler

Compiled 358 to 243 computations (32.1% saved)

localize49.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.0b	(fma.f64 (/.f64 y 1) (/.f64 x a) (neg.f64 (/.f64 z (/.f64 a t))))
✓	5.8b	(/.f64 z (/.f64 a t))

Compiler

Compiled 44 to 15 computations (65.9% saved)

series17.0ms (0.2%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	t	@	inf	(/.f64 z (/.f64 a t))
2.0ms	z	@	inf	(/.f64 z (/.f64 a t))
1.0ms	a	@	-inf	(fma.f64 (/.f64 y 1) (/.f64 x a) (neg.f64 (/.f64 z (/.f64 a t))))
1.0ms	y	@	0	(fma.f64 (/.f64 y 1) (/.f64 x a) (neg.f64 (/.f64 z (/.f64 a t))))
1.0ms	z	@	0	(/.f64 z (/.f64 a t))

rewrite171.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`log-prod_binary64`
553×	`prod-diff_binary64`
365×	`egg-rr`
319×	`pow2_binary64`
224×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	281	21
2	3617	21

Stop Event

1×	node limit

Counts

2 → 432

Calls

Call 1

Inputs
(/.f64 z (/.f64 a t))
(fma.f64 (/.f64 y 1) (/.f64 x a) (neg.f64 (/.f64 z (/.f64 a t))))

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

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

simplify451.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

430×	`+-commutative_binary64`
379×	`log-prod_binary64`
363×	`fma-udef_binary64`
309×	`associate-+r+_binary64`
289×	`associate-+l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1027	21779
1	2611	14060
2	7281	14060

Stop Event

1×	node limit

Counts

528 → 527

Calls

Call 1

Inputs
(/.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 (*.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 (*.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 (*.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 t z) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(/.f64 (*.f64 y x) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(/.f64 (*.f64 y x) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(/.f64 (*.f64 y x) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(/.f64 (*.f64 y x) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
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(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (.f64 y x)) (.f64 -1 (*.f64 t z))) a))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (.f64 y x)) (.f64 -1 (*.f64 t z))) a))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (.f64 y x)) (.f64 -1 (*.f64 t z))) a))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (.f64 y x)) (.f64 -1 (*.f64 t z))) a))
(/.f64 (*.f64 y x) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
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(.f64 -1 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(/.f64 (*.f64 y x) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
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(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 0 (*.f64 z (/.f64 t a)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 t a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 t a)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 t a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 t a)))))
(-.f64 0 (*.f64 z (/.f64 t a)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 t a)))) 1)
(*.f64 z (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 t (/.f64 z a))
(.f64 (.f64 z (/.f64 t a)) 1)
(.f64 (.f64 z (/.f64 t a)) -1)
(.f64 1 (.f64 z (/.f64 t a)))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (/.f64 t a)))
(.f64 (cbrt.f64 (.f64 z (/.f64 t a))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 t a))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (/.f64 t a))) 2) (cbrt.f64 (*.f64 z (/.f64 t a))))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (/.f64 t a))) 2) (neg.f64 (cbrt.f64 (*.f64 z (/.f64 t a)))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 t a)))
(.f64 (sqrt.f64 (.f64 z (/.f64 t a))) (sqrt.f64 (*.f64 z (/.f64 t a))))
(.f64 (sqrt.f64 (.f64 z (/.f64 t a))) (neg.f64 (sqrt.f64 (*.f64 z (/.f64 t a)))))
(.f64 -1 (.f64 z (/.f64 t a)))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 (neg.f64 z) (/.f64 1 (/.f64 (neg.f64 a) t)))
(*.f64 (/.f64 t a) z)
(*.f64 (/.f64 1 a) (/.f64 z (/.f64 1 t)))
(*.f64 (/.f64 z a) t)
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) a) (/.f64 (cbrt.f64 z) (/.f64 1 t)))
(*.f64 (/.f64 (sqrt.f64 z) a) (/.f64 (sqrt.f64 z) (/.f64 1 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 a t)))
(*.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (/.f64 a t)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a t)) 2)) (/.f64 z (cbrt.f64 (/.f64 a t))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 a t)) 2)) (cbrt.f64 (.f64 z (/.f64 t a))))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 a t)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 a t))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 a t))) (/.f64 z (sqrt.f64 (/.f64 a t))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 a t))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 a t))))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 z (/.f64 t a))) 2)) (cbrt.f64 (*.f64 z (/.f64 t a))))
(.f64 (neg.f64 (sqrt.f64 (.f64 z (/.f64 t a)))) (sqrt.f64 (*.f64 z (/.f64 t a))))
(*.f64 (neg.f64 (/.f64 z a)) t)
(*.f64 (/.f64 (neg.f64 z) a) t)
(*.f64 (/.f64 (neg.f64 z) 1) (/.f64 t a))
(*.f64 (/.f64 z 1) (/.f64 t a))
(*.f64 (/.f64 z (neg.f64 a)) (neg.f64 t))
(.f64 (.f64 -1 (pow.f64 (cbrt.f64 (.f64 z (/.f64 t a))) 2)) (cbrt.f64 (.f64 z (/.f64 t a))))
(.f64 (.f64 -1 (sqrt.f64 (.f64 z (/.f64 t a)))) (sqrt.f64 (.f64 z (/.f64 t a))))
(.f64 (.f64 -1 (/.f64 z a)) t)
(.f64 (.f64 (/.f64 z a) 1) t)
(.f64 (.f64 (/.f64 z a) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(.f64 (.f64 (/.f64 z a) (sqrt.f64 t)) (sqrt.f64 t))
(pow.f64 (*.f64 z (/.f64 t a)) 1)
(pow.f64 (pow.f64 (*.f64 z (/.f64 t a)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 t a))) 3)
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 t a))) 2)
(pow.f64 (/.f64 a (*.f64 z t)) -1)
(pow.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 a t) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 a t) (neg.f64 z)) -1)
(pow.f64 (/.f64 (/.f64 a (*.f64 z t)) 1) -1)
(neg.f64 (*.f64 z (/.f64 t a)))
(neg.f64 (/.f64 z (/.f64 (neg.f64 a) t)))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 t a)) 2))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 t a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 t a)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 t a))))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 t a)) 3))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 a t) 3)))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 t a))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 t a))))
(exp.f64 (log.f64 (*.f64 z (/.f64 t a))))
(exp.f64 (.f64 (log.f64 (.f64 z (/.f64 t a))) 1))
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(+.f64 (fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 x a)) (neg.f64 (.f64 (cbrt.f64 t) (.f64 (/.f64 z a) (pow.f64 (cbrt.f64 t) 2))))) (fma.f64 (neg.f64 (cbrt.f64 t)) (.f64 (/.f64 z a) (pow.f64 (cbrt.f64 t) 2)) (.f64 (cbrt.f64 t) (.f64 (/.f64 z a) (pow.f64 (cbrt.f64 t) 2)))))
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(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 y (/.f64 x a))) 2) (cbrt.f64 (.f64 y (/.f64 x a))) (neg.f64 (.f64 (cbrt.f64 t) (.f64 (/.f64 z a) (pow.f64 (cbrt.f64 t) 2))))) (fma.f64 (neg.f64 (cbrt.f64 t)) (.f64 (/.f64 z a) (pow.f64 (cbrt.f64 t) 2)) (.f64 (cbrt.f64 t) (*.f64 (/.f64 z a) (pow.f64 (cbrt.f64 t) 2)))))
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(+.f64 (fma.f64 1 (.f64 y (/.f64 x a)) (neg.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 z a) (sqrt.f64 t))))) (fma.f64 (neg.f64 (sqrt.f64 t)) (.f64 (/.f64 z a) (sqrt.f64 t)) (.f64 (sqrt.f64 t) (.f64 (/.f64 z a) (sqrt.f64 t)))))
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(+.f64 (fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 x a)) (neg.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 z a) (sqrt.f64 t))))) (fma.f64 (neg.f64 (sqrt.f64 t)) (.f64 (/.f64 z a) (sqrt.f64 t)) (.f64 (sqrt.f64 t) (.f64 (/.f64 z a) (sqrt.f64 t)))))
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(+.f64 (fma.f64 (.f64 y x) (/.f64 1 a) (neg.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 z a) (sqrt.f64 t))))) (fma.f64 (neg.f64 (sqrt.f64 t)) (.f64 (/.f64 z a) (sqrt.f64 t)) (.f64 (sqrt.f64 t) (.f64 (/.f64 z a) (sqrt.f64 t)))))
(+.f64 (fma.f64 (.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 x a))) (.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 x a))) (neg.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 z a) (sqrt.f64 t))))) (fma.f64 (neg.f64 (sqrt.f64 t)) (.f64 (/.f64 z a) (sqrt.f64 t)) (.f64 (sqrt.f64 t) (*.f64 (/.f64 z a) (sqrt.f64 t)))))
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(-.f64 (.f64 y (/.f64 x a)) (.f64 z (/.f64 t a)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (/.f64 x a) (*.f64 z (/.f64 t a))))) 1)
(-.f64 (fma.f64 y (/.f64 x a) 0) (*.f64 z (/.f64 t a)))
(.f64 1 (fma.f64 y (/.f64 x a) (.f64 z (/.f64 t a))))
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(.f64 (sqrt.f64 (fma.f64 y (/.f64 x a) (.f64 z (/.f64 t a)))) (sqrt.f64 (fma.f64 y (/.f64 x a) (*.f64 z (/.f64 t a)))))
(/.f64 (+.f64 (pow.f64 (.f64 y (/.f64 x a)) 3) (pow.f64 (.f64 z (/.f64 t a)) 3)) (+.f64 (pow.f64 (.f64 y (/.f64 x a)) 2) (-.f64 (pow.f64 (.f64 z (/.f64 t a)) 2) (.f64 (.f64 y (/.f64 x a)) (*.f64 z (/.f64 t a))))))
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(pow.f64 (fma.f64 y (/.f64 x a) (*.f64 z (/.f64 t a))) 1)
(pow.f64 (pow.f64 (fma.f64 y (/.f64 x a) (*.f64 z (/.f64 t a))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 x a) (*.f64 z (/.f64 t a)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 x a) (*.f64 z (/.f64 t a)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 y (/.f64 x a) (*.f64 z (/.f64 t a))) 2))
(log.f64 (exp.f64 (fma.f64 y (/.f64 x a) (*.f64 z (/.f64 t a)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (/.f64 x a) (*.f64 z (/.f64 t a))))))
(log.f64 (/.f64 (exp.f64 (*.f64 y (/.f64 x a))) (pow.f64 (exp.f64 z) (/.f64 t a))))
(log.f64 (/.f64 (exp.f64 (.f64 y (/.f64 x a))) (+.f64 1 (expm1.f64 (.f64 z (/.f64 t a))))))
(log.f64 (.f64 (pow.f64 (exp.f64 z) (/.f64 t a)) (exp.f64 (.f64 y (/.f64 x a)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (/.f64 t a)))) (exp.f64 (*.f64 y (/.f64 x a)))))
(log.f64 (.f64 (exp.f64 (.f64 y (/.f64 x a))) (+.f64 1 (expm1.f64 (*.f64 z (/.f64 t a))))))
(cbrt.f64 (pow.f64 (fma.f64 y (/.f64 x a) (*.f64 z (/.f64 t a))) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 x a) (*.f64 z (/.f64 t a)))))
(log1p.f64 (expm1.f64 (fma.f64 y (/.f64 x a) (*.f64 z (/.f64 t a)))))
(exp.f64 (log.f64 (fma.f64 y (/.f64 x a) (*.f64 z (/.f64 t a)))))
(exp.f64 (.f64 (log.f64 (fma.f64 y (/.f64 x a) (.f64 z (/.f64 t a)))) 1))

Outputs
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(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 x a) (*.f64 z (/.f64 t a)))) 2)
(fma.f64 z (/.f64 t a) (*.f64 y (/.f64 x a)))
(fma.f64 t (/.f64 z a) (*.f64 y (/.f64 x a)))
(sqrt.f64 (pow.f64 (fma.f64 y (/.f64 x a) (*.f64 z (/.f64 t a))) 2))
(sqrt.f64 (pow.f64 (fma.f64 z (/.f64 t a) (*.f64 y (/.f64 x a))) 2))
(fabs.f64 (fma.f64 t (/.f64 z a) (*.f64 y (/.f64 x a))))
(log.f64 (exp.f64 (fma.f64 y (/.f64 x a) (*.f64 z (/.f64 t a)))))
(fma.f64 z (/.f64 t a) (*.f64 y (/.f64 x a)))
(fma.f64 t (/.f64 z a) (*.f64 y (/.f64 x a)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (/.f64 x a) (*.f64 z (/.f64 t a))))))
(fma.f64 z (/.f64 t a) (*.f64 y (/.f64 x a)))
(fma.f64 t (/.f64 z a) (*.f64 y (/.f64 x a)))
(log.f64 (/.f64 (exp.f64 (*.f64 y (/.f64 x a))) (pow.f64 (exp.f64 z) (/.f64 t a))))
(/.f64 (fma.f64 y x (*.f64 (neg.f64 t) z)) a)
(/.f64 (fma.f64 y x (*.f64 t (neg.f64 z))) a)
(log.f64 (/.f64 (exp.f64 (.f64 y (/.f64 x a))) (+.f64 1 (expm1.f64 (.f64 z (/.f64 t a))))))
(/.f64 (fma.f64 y x (*.f64 (neg.f64 t) z)) a)
(/.f64 (fma.f64 y x (*.f64 t (neg.f64 z))) a)
(log.f64 (.f64 (pow.f64 (exp.f64 z) (/.f64 t a)) (exp.f64 (.f64 y (/.f64 x a)))))
(fma.f64 z (/.f64 t a) (*.f64 y (/.f64 x a)))
(fma.f64 t (/.f64 z a) (*.f64 y (/.f64 x a)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (/.f64 t a)))) (exp.f64 (*.f64 y (/.f64 x a)))))
(fma.f64 z (/.f64 t a) (*.f64 y (/.f64 x a)))
(fma.f64 t (/.f64 z a) (*.f64 y (/.f64 x a)))
(log.f64 (.f64 (exp.f64 (.f64 y (/.f64 x a))) (+.f64 1 (expm1.f64 (*.f64 z (/.f64 t a))))))
(fma.f64 z (/.f64 t a) (*.f64 y (/.f64 x a)))
(fma.f64 t (/.f64 z a) (*.f64 y (/.f64 x a)))
(cbrt.f64 (pow.f64 (fma.f64 y (/.f64 x a) (*.f64 z (/.f64 t a))) 3))
(fma.f64 z (/.f64 t a) (*.f64 y (/.f64 x a)))
(fma.f64 t (/.f64 z a) (*.f64 y (/.f64 x a)))
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 x a) (*.f64 z (/.f64 t a)))))
(fma.f64 z (/.f64 t a) (*.f64 y (/.f64 x a)))
(fma.f64 t (/.f64 z a) (*.f64 y (/.f64 x a)))
(log1p.f64 (expm1.f64 (fma.f64 y (/.f64 x a) (*.f64 z (/.f64 t a)))))
(fma.f64 z (/.f64 t a) (*.f64 y (/.f64 x a)))
(fma.f64 t (/.f64 z a) (*.f64 y (/.f64 x a)))
(exp.f64 (log.f64 (fma.f64 y (/.f64 x a) (*.f64 z (/.f64 t a)))))
(fma.f64 z (/.f64 t a) (*.f64 y (/.f64 x a)))
(fma.f64 t (/.f64 z a) (*.f64 y (/.f64 x a)))
(exp.f64 (.f64 (log.f64 (fma.f64 y (/.f64 x a) (.f64 z (/.f64 t a)))) 1))
(fma.f64 z (/.f64 t a) (*.f64 y (/.f64 x a)))
(fma.f64 t (/.f64 z a) (*.f64 y (/.f64 x a)))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.4b	(*.f64 x (/.f64 y a))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite39.0ms (0.4%)

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 x (/.f64 y a))

Outputs

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

simplify43.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

754×	`log-prod_binary64`
453×	`associate-l_binary64`
406×	`associate-r_binary64`
312×	`log-div_binary64`
301×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	406
1	154	406
2	574	406
3	4143	406

Stop Event

1×	node limit

Counts

58 → 25

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.6b	(/.f64 (*.f64 y x) a)

Compiler

Compiled 16 to 7 computations (56.3% saved)

series5.0ms (0.1%)

Counts

1 → 0

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	a	@	inf	(/.f64 (*.f64 y x) a)
1.0ms	y	@	inf	(/.f64 (*.f64 y x) a)
0.0ms	y	@	-inf	(/.f64 (*.f64 y x) a)
0.0ms	a	@	-inf	(/.f64 (*.f64 y x) a)
0.0ms	y	@	0	(/.f64 (*.f64 y x) a)

rewrite46.0ms (0.5%)

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 x) a)

Outputs

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

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

664×	`log-div_binary64`
566×	`log-prod_binary64`
508×	`associate-/l*_binary64`
356×	`associate-*l/_binary64`
337×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	568
1	282	472
2	979	376
3	5012	356

Stop Event

1×	node limit

Counts

41 → 48

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (*.f64 (/.f64 y a) x)) 1)
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(*.f64 y (/.f64 1 (/.f64 a x)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(.f64 y (.f64 x (/.f64 1 a)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(.f64 x (.f64 y (/.f64 1 a)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(.f64 (.f64 y x) (/.f64 1 a))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(.f64 (.f64 (/.f64 y a) x) 1)
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(.f64 1 (.f64 (/.f64 y a) x))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(.f64 (cbrt.f64 (.f64 (/.f64 y a) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) x)) 2))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 y a) x)) 2) (cbrt.f64 (*.f64 (/.f64 y a) x)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (.f64 (cbrt.f64 (.f64 y x)) (/.f64 1 a)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(.f64 (sqrt.f64 (.f64 (/.f64 y a) x)) (sqrt.f64 (*.f64 (/.f64 y a) x)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(.f64 (sqrt.f64 (.f64 y x)) (.f64 (sqrt.f64 (.f64 y x)) (/.f64 1 a)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(.f64 (.f64 x (neg.f64 y)) (/.f64 1 (neg.f64 a)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(.f64 (/.f64 1 a) (.f64 y x))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(*.f64 (/.f64 y 1) (/.f64 x a))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(*.f64 (/.f64 x 1) (/.f64 y a))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(*.f64 (/.f64 y a) x)
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) a))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(.f64 (/.f64 (sqrt.f64 (.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) a))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 a) 2)) (/.f64 x (cbrt.f64 a)))
(/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 a) 3))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 a) 2)) (/.f64 y (cbrt.f64 a)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 a) 2)) (/.f64 x (cbrt.f64 a)))
(/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 a) 3))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (.f64 y x) (cbrt.f64 a)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 a) 2)) (/.f64 x (cbrt.f64 a)))
(/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 a) 3))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (*.f64 (/.f64 y a) x)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (*.f64 y (/.f64 x a)))) (pow.f64 (cbrt.f64 a) 2))
(.f64 (cbrt.f64 (.f64 y (/.f64 x a))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 a) 2)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (.f64 y (/.f64 x a)))))
(.f64 (/.f64 (sqrt.f64 (.f64 y x)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 a)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 a) 2)) (/.f64 x (cbrt.f64 a)))
(/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 a) 3))
(*.f64 (/.f64 y (sqrt.f64 a)) (/.f64 x (sqrt.f64 a)))
(*.f64 (/.f64 x (sqrt.f64 a)) (/.f64 y (sqrt.f64 a)))
(*.f64 (/.f64 y (sqrt.f64 a)) (/.f64 x (sqrt.f64 a)))
(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (.f64 y x) (sqrt.f64 a)))
(*.f64 (/.f64 y (sqrt.f64 a)) (/.f64 x (sqrt.f64 a)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 a)))
(*.f64 (/.f64 y (sqrt.f64 a)) (/.f64 x (sqrt.f64 a)))
(pow.f64 (*.f64 (/.f64 y a) x) 1)
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(pow.f64 (pow.f64 (*.f64 (/.f64 y a) x) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) x)) 3)
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y a) x)) 2)
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(pow.f64 (/.f64 a (*.f64 y x)) -1)
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 a)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y a) x) 2))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(log.f64 (exp.f64 (*.f64 (/.f64 y a) x)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y a) x) 3))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 a 3)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y a) x)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y a) x)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))
(exp.f64 (log.f64 (*.f64 (/.f64 y a) x)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x a)) 1))
(+.f64 (*.f64 y (/.f64 x a)) 0)
(*.f64 y (/.f64 x a))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.6b	(/.f64 (*.f64 z (neg.f64 t)) a)

Compiler

Compiled 20 to 8 computations (60% saved)

series16.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	t	@	inf	(/.f64 (*.f64 z (neg.f64 t)) a)
0.0ms	z	@	0	(/.f64 (*.f64 z (neg.f64 t)) a)
0.0ms	a	@	0	(/.f64 (*.f64 z (neg.f64 t)) a)
0.0ms	a	@	inf	(/.f64 (*.f64 z (neg.f64 t)) a)
0.0ms	t	@	0	(/.f64 (*.f64 z (neg.f64 t)) a)

rewrite42.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`pow1_binary64`
672×	`add-log-exp_binary64`
671×	`log1p-expm1-u_binary64`
671×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2171	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

658×	`log-div_binary64`
544×	`log-prod_binary64`
495×	`associate-/l*_binary64`
380×	`associate-*l/_binary64`
359×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	868
1	282	766
2	1031	664
3	5180	664

Stop Event

1×	node limit

Counts

77 → 52

Calls

Call 1

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

Outputs
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(-.f64 (+.f64 1 (*.f64 (/.f64 z a) t)) 1)
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(*.f64 z (/.f64 1 (/.f64 a t)))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(.f64 z (.f64 t (/.f64 1 a)))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(.f64 t (.f64 z (/.f64 1 a)))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(.f64 (.f64 z t) (/.f64 1 a))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(.f64 (.f64 z t) (/.f64 1 (neg.f64 a)))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(.f64 (.f64 (/.f64 z a) t) 1)
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(.f64 1 (.f64 (/.f64 z a) t))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) (/.f64 1 a)))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(.f64 (cbrt.f64 (.f64 (/.f64 z a) t)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z a) t)) 2))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 z a) t)) 2) (cbrt.f64 (*.f64 (/.f64 z a) t)))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(.f64 (sqrt.f64 (.f64 z t)) (.f64 (sqrt.f64 (.f64 z t)) (/.f64 1 a)))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(.f64 (sqrt.f64 (.f64 (/.f64 z a) t)) (sqrt.f64 (*.f64 (/.f64 z a) t)))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(.f64 (/.f64 1 a) (.f64 z t))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(*.f64 (/.f64 z 1) (/.f64 t a))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(*.f64 (/.f64 t 1) (/.f64 z a))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(*.f64 (/.f64 z a) t)
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) 1) (/.f64 (cbrt.f64 (*.f64 z t)) a))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(.f64 (/.f64 (sqrt.f64 (.f64 z t)) 1) (/.f64 (sqrt.f64 (*.f64 z t)) a))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 a) 2)) (/.f64 t (cbrt.f64 a)))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(*.f64 (/.f64 t (pow.f64 (cbrt.f64 a) 2)) (/.f64 z (cbrt.f64 a)))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (.f64 z t) (cbrt.f64 a)))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (*.f64 (/.f64 z a) t)))
(.f64 (cbrt.f64 (.f64 t (/.f64 z a))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) 2) (pow.f64 (cbrt.f64 a) 2)))
(.f64 (cbrt.f64 (.f64 z (/.f64 t a))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 t z)) 2) (pow.f64 (cbrt.f64 a) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 z t)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (*.f64 z t)) (cbrt.f64 a)))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(*.f64 (/.f64 z (sqrt.f64 a)) (/.f64 t (sqrt.f64 a)))
(/.f64 (*.f64 (/.f64 t (sqrt.f64 a)) z) (sqrt.f64 a))
(/.f64 (/.f64 t (sqrt.f64 a)) (/.f64 (sqrt.f64 a) z))
(*.f64 (/.f64 t (sqrt.f64 a)) (/.f64 z (sqrt.f64 a)))
(/.f64 (*.f64 (/.f64 t (sqrt.f64 a)) z) (sqrt.f64 a))
(*.f64 (/.f64 z (sqrt.f64 a)) (/.f64 t (sqrt.f64 a)))
(/.f64 (/.f64 t (sqrt.f64 a)) (/.f64 (sqrt.f64 a) z))
(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (.f64 z t) (sqrt.f64 a)))
(/.f64 (*.f64 (/.f64 t (sqrt.f64 a)) z) (sqrt.f64 a))
(*.f64 (/.f64 z (sqrt.f64 a)) (/.f64 t (sqrt.f64 a)))
(/.f64 (/.f64 t (sqrt.f64 a)) (/.f64 (sqrt.f64 a) z))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (*.f64 z t)) (sqrt.f64 a)))
(/.f64 (*.f64 (/.f64 t (sqrt.f64 a)) z) (sqrt.f64 a))
(*.f64 (/.f64 z (sqrt.f64 a)) (/.f64 t (sqrt.f64 a)))
(/.f64 (/.f64 t (sqrt.f64 a)) (/.f64 (sqrt.f64 a) z))
(pow.f64 (*.f64 (/.f64 z a) t) 1)
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(pow.f64 (pow.f64 (*.f64 (/.f64 z a) t) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 z a) t)) 3)
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 z a) t)) 2)
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(pow.f64 (/.f64 (/.f64 a z) t) -1)
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(neg.f64 (*.f64 (/.f64 z a) t))
(*.f64 (/.f64 z a) (neg.f64 t))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 z (/.f64 (neg.f64 t) a))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 z a) t) 2))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(log.f64 (exp.f64 (*.f64 (/.f64 z a) t)))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 z a) t) 3))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 z t) 3) (pow.f64 a 3)))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 z a) t)))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 z a) t)))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(exp.f64 (log.f64 (*.f64 (/.f64 z a) t)))
(+.f64 1 (-.f64 (*.f64 t (/.f64 z a)) 1))
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	5.8b	(/.f64 z (/.f64 a t))
✓	7.7b	(/.f64 x (/.f64 a y))

Compiler

Compiled 37 to 10 computations (73% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite56.0ms (0.6%)

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 x (/.f64 a y))

Outputs

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

simplify43.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

668×	`log-div_binary64`
583×	`log-prod_binary64`
488×	`associate-*l/_binary64`
439×	`fma-def_binary64`
429×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	113	618
1	295	606
2	1013	606
3	5692	606

Stop Event

1×	node limit

Counts

77 → 48

Calls

Call 1

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

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

eval218.0ms (2.4%)

Compiler: Compiled 23027 to 6413 computations (72.2% saved)

prune198.0ms (2.1%)

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	766	11	777
Fresh	5	2	7
Picked	1	0	1
Done	1	4	5
Total	773	17	790

Error

Counts

790 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	6.8b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
✓	33.0b	(/.f64 (*.f64 z (neg.f64 t)) a)
✓	31.4b	(/.f64 (*.f64 y x) a)
▶	30.3b	(/.f64 y (/.f64 a x))
	32.3b	(/.f64 x (/.f64 a y))
	31.4b	(/.f64 1 (/.f64 a (*.f64 x y)))
▶	8.8b	(-.f64 (/.f64 x (/.f64 a y)) (*.f64 (/.f64 1 a) (/.f64 z (/.f64 1 t))))
	9.8b	(-.f64 (*.f64 (/.f64 y a) x) (/.f64 z (/.f64 a t)))
	33.1b	(*.f64 (/.f64 z a) (neg.f64 t))
	48.1b	(*.f64 (/.f64 y (sqrt.f64 a)) (/.f64 x (sqrt.f64 a)))
	57.0b	(.f64 (/.f64 1 a) (.f64 z t))
▶	31.4b	(.f64 (/.f64 1 a) (.f64 y x))
▶	33.0b	(.f64 (.f64 z t) (/.f64 1 (neg.f64 a)))
	34.3b	(*.f64 z (/.f64 (neg.f64 t) a))
	57.0b	(*.f64 z (/.f64 t a))
▶	30.2b	(*.f64 y (/.f64 x a))
✓	32.2b	(*.f64 x (/.f64 y a))

Compiler

Compiled 367 to 259 computations (29.4% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 z (/.f64 1 t))
✓	4.7b	(*.f64 (/.f64 1 a) (/.f64 z (/.f64 1 t)))
	7.7b	(/.f64 x (/.f64 a y))

Compiler

Compiled 54 to 28 computations (48.1% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite56.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

493×	`log-prod_binary64`
444×	`prod-exp_binary64`
381×	`exp-prod_binary64`
333×	`pow-prod-down_binary64`
241×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	193	11
2	2646	11

Stop Event

1×	node limit

Counts

2 → 148

Calls

Call 1

Inputs
(*.f64 (/.f64 1 a) (/.f64 z (/.f64 1 t)))
(/.f64 z (/.f64 1 t))

Outputs

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

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

784×	`fma-def_binary64`
351×	`distribute-rgt-in_binary64`
315×	`log-prod_binary64`
207×	`div-sub_binary64`
206×	`cube-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	358	1416
1	916	1364
2	2918	1364

Stop Event

1×	node limit

Counts

208 → 170

Calls

Call 1

Inputs
(/.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 (*.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 (*.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 (*.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 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(+.f64 0 (*.f64 z (/.f64 t a)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 t a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 t a)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 t a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 t a)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 t a)))) 1)
(/.f64 1 (*.f64 a (/.f64 (/.f64 1 t) z)))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 t) z) a))
(/.f64 1 (/.f64 (/.f64 a t) z))
(/.f64 1 (/.f64 a (*.f64 z t)))
(/.f64 1 (/.f64 (/.f64 1 t) (/.f64 z a)))
(/.f64 (/.f64 1 a) (/.f64 (/.f64 1 t) z))
(/.f64 z (/.f64 a t))
(/.f64 (*.f64 z t) a)
(/.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (/.f64 a (cbrt.f64 (.f64 z t))))
(/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (/.f64 a t) (cbrt.f64 z)))
(/.f64 (sqrt.f64 (.f64 z t)) (/.f64 a (sqrt.f64 (.f64 z t))))
(/.f64 (sqrt.f64 z) (/.f64 (/.f64 a t) (sqrt.f64 z)))
(/.f64 -1 (*.f64 (neg.f64 a) (/.f64 (/.f64 1 t) z)))
(/.f64 -1 (*.f64 (/.f64 (/.f64 1 t) z) (neg.f64 a)))
(/.f64 (neg.f64 z) (neg.f64 (/.f64 a t)))
(/.f64 (neg.f64 z) (*.f64 (neg.f64 a) (/.f64 1 t)))
(/.f64 (neg.f64 z) (*.f64 a (/.f64 -1 t)))
(/.f64 (/.f64 z a) (/.f64 1 t))
(/.f64 (neg.f64 (*.f64 z t)) (neg.f64 a))
(/.f64 (neg.f64 (/.f64 z a)) (/.f64 -1 t))
(/.f64 (.f64 -1 (neg.f64 z)) (.f64 (neg.f64 a) (/.f64 -1 t)))
(/.f64 (.f64 (neg.f64 z) 1) (.f64 (/.f64 -1 t) a))
(/.f64 (.f64 z -1) (.f64 (/.f64 1 t) (neg.f64 a)))
(/.f64 (.f64 (neg.f64 z) -1) (.f64 (/.f64 -1 t) (neg.f64 a)))
(/.f64 (/.f64 (*.f64 z t) (sqrt.f64 a)) (sqrt.f64 a))
(/.f64 (/.f64 (/.f64 z a) 1) (/.f64 1 t))
(/.f64 (/.f64 (*.f64 z t) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(/.f64 (/.f64 (/.f64 z a) (cbrt.f64 (pow.f64 t -2))) (/.f64 1 (cbrt.f64 t)))
(/.f64 (/.f64 (/.f64 z a) (pow.f64 t -1/2)) (pow.f64 t -1/2))
(/.f64 (.f64 -1 (.f64 z t)) (neg.f64 a))
(/.f64 (*.f64 (neg.f64 z) (/.f64 1 a)) (/.f64 -1 t))
(/.f64 (*.f64 (/.f64 1 a) (neg.f64 z)) (/.f64 -1 t))
(/.f64 (.f64 (.f64 z t) -1) (neg.f64 a))
(pow.f64 (*.f64 z (/.f64 t a)) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 z (/.f64 t a))))
(pow.f64 (pow.f64 (*.f64 z (/.f64 t a)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 z (/.f64 t a)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 t a))) 3)
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 t a))) 2)
(pow.f64 (/.f64 (pow.f64 (*.f64 z t) 3) (pow.f64 a 3)) 1/3)
(pow.f64 (*.f64 a (/.f64 (/.f64 1 t) z)) -1)
(pow.f64 (*.f64 (/.f64 (/.f64 1 t) z) a) -1)
(pow.f64 (/.f64 (/.f64 a t) z) -1)
(pow.f64 (/.f64 a (*.f64 z t)) -1)
(pow.f64 (/.f64 (/.f64 1 t) (/.f64 z a)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z (/.f64 t a)))) 2)) (cbrt.f64 (log.f64 (.f64 z (/.f64 t a)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z (/.f64 t a))))) (sqrt.f64 (log.f64 (.f64 z (/.f64 t a)))))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 t a)) 2))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 t a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 t a)))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 t a)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 z t) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 t a))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 t a))))
(exp.f64 (log.f64 (*.f64 z (/.f64 t a))))
(exp.f64 (.f64 (log.f64 (.f64 z (/.f64 t a))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 z (/.f64 t a)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z (/.f64 t a)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (/.f64 t a)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 z (/.f64 t a))) 1) 1))
(exp.f64 (-.f64 (.f64 (log.f64 a) -1) (neg.f64 (log.f64 (.f64 z t)))))
(exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 a)) 1) (neg.f64 (log.f64 (.f64 z t)))))
(exp.f64 (-.f64 (*.f64 (log.f64 z) 1) (log.f64 (/.f64 a t))))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 z t)) 1) (log.f64 a)))
(exp.f64 (-.f64 (log.f64 (.f64 z t)) (.f64 (log.f64 a) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 z t)) 1) (*.f64 (log.f64 a) 1)))
(exp.f64 (-.f64 (log.f64 (/.f64 z a)) (*.f64 (log.f64 t) -1)))
(exp.f64 (-.f64 (log.f64 (/.f64 z a)) (*.f64 (neg.f64 (log.f64 t)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 a) -1) (log.f64 (.f64 z t))))
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 a)) 1) (log.f64 (.f64 z t))))
(exp.f64 (+.f64 (neg.f64 (log.f64 a)) (.f64 (log.f64 (.f64 z t)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 a) -1) (.f64 (log.f64 (*.f64 z t)) 1)))
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 a)) 1) (.f64 (log.f64 (*.f64 z t)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 z t)) 1) (neg.f64 (log.f64 a))))
(exp.f64 (+.f64 (log.f64 (.f64 z t)) (.f64 (log.f64 a) -1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 z t)) 1) (*.f64 (log.f64 a) -1)))
(exp.f64 (+.f64 (log.f64 (.f64 z t)) (.f64 (neg.f64 (log.f64 a)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 z t)) 1) (*.f64 (neg.f64 (log.f64 a)) 1)))
(exp.f64 (+.f64 (log.f64 (/.f64 z a)) (*.f64 (log.f64 t) 1)))
(+.f64 0 (*.f64 z t))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 t) z)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z t))) 1)
(.f64 1 (.f64 z t))
(*.f64 z t)
(*.f64 t z)
(.f64 (.f64 z t) 1)
(.f64 (cbrt.f64 (.f64 z t)) (pow.f64 (cbrt.f64 (*.f64 z t)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (cbrt.f64 (*.f64 z t)))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) t))
(.f64 (sqrt.f64 (.f64 z t)) (sqrt.f64 (*.f64 z t)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) t))
(*.f64 (sqrt.f64 t) (/.f64 z (pow.f64 t -1/2)))
(*.f64 (neg.f64 z) (/.f64 1 (/.f64 -1 t)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 1 t)))
(*.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (/.f64 1 t)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 t -2))) (/.f64 z (/.f64 1 (cbrt.f64 t))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (pow.f64 t -2))) (cbrt.f64 (.f64 z t)))
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 t -2))) (/.f64 (sqrt.f64 z) (/.f64 1 (cbrt.f64 t))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 t -1/2)) (/.f64 (cbrt.f64 z) (pow.f64 t -1/2)))
(*.f64 (/.f64 z -1) (neg.f64 t))
(.f64 (.f64 z (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(.f64 (.f64 z (sqrt.f64 t)) (sqrt.f64 t))
(pow.f64 (*.f64 z t) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 z t)))
(pow.f64 (pow.f64 (*.f64 z t) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 z t) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 z t)) 3)
(pow.f64 (sqrt.f64 (*.f64 z t)) 2)
(pow.f64 (/.f64 (/.f64 1 t) z) -1)
(pow.f64 (/.f64 (pow.f64 z 3) (pow.f64 t -3)) 1/3)
(pow.f64 (/.f64 (/.f64 (/.f64 1 t) z) 1) -1)
(pow.f64 (*.f64 (pow.f64 z 3) (pow.f64 t 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 t 3) (pow.f64 z 3)) 1/3)
(pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 z)) 3)
(pow.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 z)) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z t))) 2)) (cbrt.f64 (log.f64 (.f64 z t))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z t)))) (sqrt.f64 (log.f64 (.f64 z t))))
(neg.f64 (/.f64 z (/.f64 -1 t)))
(sqrt.f64 (pow.f64 (*.f64 z t) 2))
(log.f64 (pow.f64 (exp.f64 t) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z t))))
(cbrt.f64 (pow.f64 (*.f64 z t) 3))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 t -3)))
(expm1.f64 (log1p.f64 (*.f64 z t)))
(log1p.f64 (expm1.f64 (*.f64 z t)))
(exp.f64 (log.f64 (*.f64 z t)))
(exp.f64 (.f64 (log.f64 (.f64 z t)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 z t))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z t))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z t))) 2))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 z t))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 z t)) 1) 1))
(exp.f64 (-.f64 (*.f64 (log.f64 z) 1) (neg.f64 (log.f64 t))))
(exp.f64 (-.f64 (log.f64 z) (*.f64 (log.f64 t) -1)))
(exp.f64 (-.f64 (.f64 (log.f64 z) 1) (.f64 (log.f64 t) -1)))
(exp.f64 (-.f64 (log.f64 z) (*.f64 (neg.f64 (log.f64 t)) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 z) 1) (.f64 (neg.f64 (log.f64 t)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (log.f64 t)))
(exp.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 t) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 z) 1) (.f64 (log.f64 t) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 t) 1) (log.f64 z)))
(exp.f64 (+.f64 (log.f64 t) (*.f64 (log.f64 z) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 t) 1) (.f64 (log.f64 z) 1)))

Outputs
(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
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(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
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(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
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(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
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(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
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(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
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(/.f64 (*.f64 t z) a)
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(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
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(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
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(/.f64 (*.f64 t z) a)
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(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
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(/.f64 (*.f64 t z) a)
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(/.f64 (*.f64 t z) a)
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(/.f64 (*.f64 t z) a)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(*.f64 t z)
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(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
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(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
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(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(+.f64 0 (*.f64 z (/.f64 t a)))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 t a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 t a)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 t a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 t a)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 t a)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 t a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 t a)))))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 t a)))) 1)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 1 (*.f64 a (/.f64 (/.f64 1 t) z)))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 t) z) a))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 1 (/.f64 (/.f64 a t) z))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 1 (/.f64 a (*.f64 z t)))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 1 (/.f64 (/.f64 1 t) (/.f64 z a)))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (/.f64 1 a) (/.f64 (/.f64 1 t) z))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 z (/.f64 a t))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 z t) a)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (/.f64 a (cbrt.f64 (.f64 z t))))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (/.f64 a t) (cbrt.f64 z)))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (sqrt.f64 (.f64 z t)) (/.f64 a (sqrt.f64 (.f64 z t))))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (sqrt.f64 z) (/.f64 (/.f64 a t) (sqrt.f64 z)))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 -1 (*.f64 (neg.f64 a) (/.f64 (/.f64 1 t) z)))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 -1 (*.f64 (/.f64 (/.f64 1 t) z) (neg.f64 a)))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (neg.f64 z) (neg.f64 (/.f64 a t)))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (neg.f64 z) (*.f64 (neg.f64 a) (/.f64 1 t)))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (neg.f64 z) (*.f64 a (/.f64 -1 t)))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (/.f64 z a) (/.f64 1 t))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (neg.f64 (*.f64 z t)) (neg.f64 a))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (neg.f64 (/.f64 z a)) (/.f64 -1 t))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (.f64 -1 (neg.f64 z)) (.f64 (neg.f64 a) (/.f64 -1 t)))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (.f64 (neg.f64 z) 1) (.f64 (/.f64 -1 t) a))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (.f64 z -1) (.f64 (/.f64 1 t) (neg.f64 a)))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (.f64 (neg.f64 z) -1) (.f64 (/.f64 -1 t) (neg.f64 a)))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (/.f64 (*.f64 z t) (sqrt.f64 a)) (sqrt.f64 a))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (/.f64 (/.f64 z a) 1) (/.f64 1 t))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (/.f64 (*.f64 z t) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (/.f64 (/.f64 z a) (cbrt.f64 (pow.f64 t -2))) (/.f64 1 (cbrt.f64 t)))
(/.f64 (/.f64 z a) (*.f64 (/.f64 1 (cbrt.f64 t)) (cbrt.f64 (pow.f64 t -2))))
(.f64 (/.f64 z (.f64 a (cbrt.f64 (pow.f64 t -2)))) (cbrt.f64 t))
(/.f64 (/.f64 z a) (/.f64 (cbrt.f64 (pow.f64 t -2)) (cbrt.f64 t)))
(/.f64 (/.f64 (/.f64 z a) (pow.f64 t -1/2)) (pow.f64 t -1/2))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (.f64 -1 (.f64 z t)) (neg.f64 a))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 (neg.f64 z) (/.f64 1 a)) (/.f64 -1 t))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 (/.f64 1 a) (neg.f64 z)) (/.f64 -1 t))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(/.f64 (.f64 (.f64 z t) -1) (neg.f64 a))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(pow.f64 (*.f64 z (/.f64 t a)) 1)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(pow.f64 (E.f64) (log.f64 (*.f64 z (/.f64 t a))))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(pow.f64 (pow.f64 (*.f64 z (/.f64 t a)) 2) 1/2)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(pow.f64 (pow.f64 (*.f64 z (/.f64 t a)) 3) 1/3)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 t a))) 3)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 t a))) 2)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(pow.f64 (/.f64 (pow.f64 (*.f64 z t) 3) (pow.f64 a 3)) 1/3)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(pow.f64 (*.f64 a (/.f64 (/.f64 1 t) z)) -1)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(pow.f64 (*.f64 (/.f64 (/.f64 1 t) z) a) -1)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(pow.f64 (/.f64 (/.f64 a t) z) -1)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(pow.f64 (/.f64 a (*.f64 z t)) -1)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(pow.f64 (/.f64 (/.f64 1 t) (/.f64 z a)) -1)
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z (/.f64 t a)))) 2)) (cbrt.f64 (log.f64 (.f64 z (/.f64 t a)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 z a) t))) 2)) (cbrt.f64 (log.f64 (.f64 (/.f64 z a) t))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 t (/.f64 z a)))) 2)) (cbrt.f64 (log.f64 (.f64 t (/.f64 z a)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z (/.f64 t a))))) (sqrt.f64 (log.f64 (.f64 z (/.f64 t a)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 z a) t)))) (sqrt.f64 (log.f64 (.f64 (/.f64 z a) t))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 t (/.f64 z a))))) (sqrt.f64 (log.f64 (.f64 t (/.f64 z a)))))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 t a)) 2))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 t a)))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 t a)))))
(*.f64 (/.f64 z a) t)
(*.f64 t (/.f64 z a))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 t a)) 3))
(*.f64 (/.f64 z a) t)
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(*.f64 (/.f64 z a) t)
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(expm1.f64 (log1p.f64 (*.f64 z (/.f64 t a))))
(*.f64 (/.f64 z a) t)
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(log1p.f64 (expm1.f64 (*.f64 z (/.f64 t a))))
(*.f64 (/.f64 z a) t)
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(exp.f64 (log.f64 (*.f64 z (/.f64 t a))))
(*.f64 (/.f64 z a) t)
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(exp.f64 (.f64 (log.f64 (.f64 z (/.f64 t a))) 1))
(*.f64 (/.f64 z a) t)
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(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 z (/.f64 t a)))) 1/3))
(*.f64 (/.f64 z a) t)
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(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z (/.f64 t a)))) 3))
(*.f64 (/.f64 z a) t)
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(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (/.f64 t a)))) 2))
(*.f64 (/.f64 z a) t)
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(exp.f64 (.f64 (.f64 (log.f64 (*.f64 z (/.f64 t a))) 1) 1))
(*.f64 (/.f64 z a) t)
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(exp.f64 (-.f64 (.f64 (log.f64 a) -1) (neg.f64 (log.f64 (.f64 z t)))))
(*.f64 (/.f64 z a) t)
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(*.f64 (/.f64 z a) t)
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(*.f64 (/.f64 z a) t)
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(*.f64 (/.f64 z a) t)
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(exp.f64 (+.f64 (.f64 (log.f64 (.f64 z t)) 1) (*.f64 (neg.f64 (log.f64 a)) 1)))
(*.f64 (/.f64 z a) t)
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(*.f64 (/.f64 z a) t)
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(*.f64 t z)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 t) z)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) z))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) z))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) z))))
(*.f64 t z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z t))) 1)
(*.f64 t z)
(.f64 1 (.f64 z t))
(*.f64 t z)
(*.f64 z t)
(*.f64 t z)
(*.f64 t z)
(.f64 (.f64 z t) 1)
(*.f64 t z)
(.f64 (cbrt.f64 (.f64 z t)) (pow.f64 (cbrt.f64 (*.f64 z t)) 2))
(*.f64 t z)
(.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (cbrt.f64 (*.f64 z t)))
(*.f64 t z)
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) t))
(*.f64 t z)
(.f64 (sqrt.f64 (.f64 z t)) (sqrt.f64 (*.f64 z t)))
(*.f64 t z)
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) t))
(*.f64 t z)
(*.f64 (sqrt.f64 t) (/.f64 z (pow.f64 t -1/2)))
(/.f64 (*.f64 z (sqrt.f64 t)) (pow.f64 t -1/2))
(*.f64 (neg.f64 z) (/.f64 1 (/.f64 -1 t)))
(*.f64 t z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 1 t)))
(*.f64 t z)
(*.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (/.f64 1 t)))
(*.f64 t z)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 t -2))) (/.f64 z (/.f64 1 (cbrt.f64 t))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 t -2))) (.f64 (/.f64 z 1) (cbrt.f64 t)))
(/.f64 (*.f64 z (cbrt.f64 t)) (cbrt.f64 (pow.f64 t -2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (pow.f64 t -2))) (cbrt.f64 (.f64 z t)))
(.f64 (cbrt.f64 (.f64 t z)) (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (pow.f64 t -2))))
(/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (cbrt.f64 (pow.f64 t -2)) (cbrt.f64 (*.f64 t z))))
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 t -2))) (/.f64 (sqrt.f64 z) (/.f64 1 (cbrt.f64 t))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 t -2))) (.f64 (/.f64 z 1) (cbrt.f64 t)))
(/.f64 (*.f64 z (cbrt.f64 t)) (cbrt.f64 (pow.f64 t -2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 t -1/2)) (/.f64 (cbrt.f64 z) (pow.f64 t -1/2)))
(/.f64 (/.f64 z (pow.f64 t -1/2)) (pow.f64 t -1/2))
(*.f64 (/.f64 z -1) (neg.f64 t))
(*.f64 t z)
(.f64 (.f64 z (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))
(*.f64 t z)
(.f64 (.f64 z (sqrt.f64 t)) (sqrt.f64 t))
(*.f64 t z)
(pow.f64 (*.f64 z t) 1)
(*.f64 t z)
(pow.f64 (E.f64) (log.f64 (*.f64 z t)))
(*.f64 t z)
(pow.f64 (pow.f64 (*.f64 z t) 2) 1/2)
(*.f64 t z)
(pow.f64 (pow.f64 (*.f64 z t) 3) 1/3)
(*.f64 t z)
(pow.f64 (cbrt.f64 (*.f64 z t)) 3)
(*.f64 t z)
(pow.f64 (sqrt.f64 (*.f64 z t)) 2)
(*.f64 t z)
(pow.f64 (/.f64 (/.f64 1 t) z) -1)
(*.f64 t z)
(pow.f64 (/.f64 (pow.f64 z 3) (pow.f64 t -3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 t -3)))
(pow.f64 (/.f64 (/.f64 (/.f64 1 t) z) 1) -1)
(*.f64 t z)
(pow.f64 (*.f64 (pow.f64 z 3) (pow.f64 t 3)) 1/3)
(*.f64 t z)
(pow.f64 (*.f64 (pow.f64 t 3) (pow.f64 z 3)) 1/3)
(*.f64 t z)
(pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 z)) 3)
(*.f64 t z)
(pow.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 z)) 2)
(*.f64 t z)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z t))) 2)) (cbrt.f64 (log.f64 (.f64 z t))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 t z))) 2)) (cbrt.f64 (log.f64 (.f64 t z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z t)))) (sqrt.f64 (log.f64 (.f64 z t))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 t z)))) (sqrt.f64 (log.f64 (.f64 t z))))
(neg.f64 (/.f64 z (/.f64 -1 t)))
(*.f64 t z)
(sqrt.f64 (pow.f64 (*.f64 z t) 2))
(*.f64 t z)
(log.f64 (pow.f64 (exp.f64 t) z))
(*.f64 t z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z t))))
(*.f64 t z)
(cbrt.f64 (pow.f64 (*.f64 z t) 3))
(*.f64 t z)
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 t -3)))
(expm1.f64 (log1p.f64 (*.f64 z t)))
(*.f64 t z)
(log1p.f64 (expm1.f64 (*.f64 z t)))
(*.f64 t z)
(exp.f64 (log.f64 (*.f64 z t)))
(*.f64 t z)
(exp.f64 (.f64 (log.f64 (.f64 z t)) 1))
(*.f64 t z)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 z t))) 1/3))
(*.f64 t z)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z t))) 3))
(*.f64 t z)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z t))) 2))
(*.f64 t z)
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 z t))) -1))
(*.f64 t z)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 z t)) 1) 1))
(*.f64 t z)
(exp.f64 (-.f64 (*.f64 (log.f64 z) 1) (neg.f64 (log.f64 t))))
(*.f64 t z)
(exp.f64 (-.f64 (log.f64 z) (*.f64 (log.f64 t) -1)))
(*.f64 t z)
(exp.f64 (-.f64 (.f64 (log.f64 z) 1) (.f64 (log.f64 t) -1)))
(*.f64 t z)
(exp.f64 (-.f64 (log.f64 z) (*.f64 (neg.f64 (log.f64 t)) 1)))
(*.f64 t z)
(exp.f64 (-.f64 (.f64 (log.f64 z) 1) (.f64 (neg.f64 (log.f64 t)) 1)))
(*.f64 t z)
(exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (log.f64 t)))
(*.f64 t z)
(exp.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 t) 1)))
(*.f64 t z)
(exp.f64 (+.f64 (.f64 (log.f64 z) 1) (.f64 (log.f64 t) 1)))
(*.f64 t z)
(exp.f64 (+.f64 (*.f64 (log.f64 t) 1) (log.f64 z)))
(*.f64 t z)
(exp.f64 (+.f64 (log.f64 t) (*.f64 (log.f64 z) 1)))
(*.f64 t z)
(exp.f64 (+.f64 (.f64 (log.f64 t) 1) (.f64 (log.f64 z) 1)))
(*.f64 t z)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.8b	(*.f64 y (/.f64 x a))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite40.0ms (0.4%)

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 x a))

Outputs

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

simplify36.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

740×	`log-prod_binary64`
419×	`associate-l_binary64`
397×	`associate-r_binary64`
293×	`fma-def_binary64`
292×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	406
1	152	406
2	563	406
3	3967	406

Stop Event

1×	node limit

Counts

58 → 24

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.0b	(/.f64 y (/.f64 a x))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite236.0ms (2.5%)

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 x))

Outputs

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

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

839×	`log-div_binary64`
661×	`log-prod_binary64`
492×	`associate-*l/_binary64`
436×	`fma-def_binary64`
434×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	112	618
1	295	606
2	1006	606
3	5764	606

Stop Event

1×	node limit

Counts

77 → 50

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.6b	(.f64 (/.f64 1 a) (.f64 y x))

Compiler

Compiled 22 to 12 computations (45.5% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(.f64 (/.f64 1 a) (.f64 y x))
0.0ms	x	@	0	(.f64 (/.f64 1 a) (.f64 y x))
0.0ms	a	@	0	(.f64 (/.f64 1 a) (.f64 y x))
0.0ms	x	@	-inf	(.f64 (/.f64 1 a) (.f64 y x))
0.0ms	y	@	-inf	(.f64 (/.f64 1 a) (.f64 y x))

rewrite41.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`pow1_binary64`
700×	`add-log-exp_binary64`
700×	`log1p-expm1-u_binary64`
700×	`expm1-log1p-u_binary64`
684×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	159	7
2	1940	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(.f64 (/.f64 1 a) (.f64 y x))

Outputs

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

simplify39.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

547×	`log-div_binary64`
505×	`times-frac_binary64`
498×	`associate-l_binary64`
462×	`associate-r_binary64`
280×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	434
1	179	434
2	696	434
3	5474	434

Stop Event

1×	node limit

Counts

62 → 28

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.7b	(.f64 (.f64 z t) (/.f64 1 (neg.f64 a)))

Compiler

Compiled 26 to 13 computations (50% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(.f64 (.f64 z t) (/.f64 1 (neg.f64 a)))
0.0ms	t	@	0	(.f64 (.f64 z t) (/.f64 1 (neg.f64 a)))
0.0ms	a	@	-inf	(.f64 (.f64 z t) (/.f64 1 (neg.f64 a)))
0.0ms	a	@	inf	(.f64 (.f64 z t) (/.f64 1 (neg.f64 a)))
0.0ms	z	@	inf	(.f64 (.f64 z t) (/.f64 1 (neg.f64 a)))

rewrite43.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

771×	`pow1_binary64`
710×	`add-log-exp_binary64`
710×	`log1p-expm1-u_binary64`
710×	`expm1-log1p-u_binary64`
694×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	182	7
2	2345	7

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

Inputs
(.f64 (.f64 z t) (/.f64 1 (neg.f64 a)))

Outputs

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

simplify43.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

552×	`associate-l_binary64`
526×	`log-div_binary64`
513×	`times-frac_binary64`
435×	`associate-r_binary64`
274×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	659
1	191	590
2	737	521
3	5616	521

Stop Event

1×	node limit

Counts

63 → 34

Calls

Call 1

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

Outputs
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(-.f64 (+.f64 1 (/.f64 z (/.f64 a t))) 1)
(+.f64 1 (-.f64 (*.f64 (/.f64 t a) z) 1))
(+.f64 (/.f64 z (/.f64 a t)) 0)
(*.f64 t (/.f64 z a))
(/.f64 z (/.f64 a t))
(+.f64 1 (-.f64 (*.f64 (/.f64 t a) z) 1))
(+.f64 (/.f64 z (/.f64 a t)) 0)
(*.f64 t (/.f64 z a))
(/.f64 t (/.f64 a z))
(+.f64 1 (-.f64 (*.f64 (/.f64 t a) z) 1))
(+.f64 (/.f64 z (/.f64 a t)) 0)
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 z t) a)
(+.f64 1 (-.f64 (*.f64 (/.f64 t a) z) 1))
(+.f64 (/.f64 z (/.f64 a t)) 0)
(*.f64 t (/.f64 z a))
(/.f64 1 (/.f64 a (*.f64 z t)))
(+.f64 1 (-.f64 (*.f64 (/.f64 t a) z) 1))
(+.f64 (/.f64 z (/.f64 a t)) 0)
(*.f64 t (/.f64 z a))
(/.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (/.f64 a (cbrt.f64 (.f64 z t))))
(+.f64 1 (-.f64 (*.f64 (/.f64 t a) z) 1))
(+.f64 (/.f64 z (/.f64 a t)) 0)
(*.f64 t (/.f64 z a))
(/.f64 (sqrt.f64 (.f64 z t)) (/.f64 a (sqrt.f64 (.f64 z t))))
(+.f64 1 (-.f64 (*.f64 (/.f64 t a) z) 1))
(+.f64 (/.f64 z (/.f64 a t)) 0)
(*.f64 t (/.f64 z a))
(/.f64 (neg.f64 (*.f64 z t)) a)
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(/.f64 (/.f64 (*.f64 z t) (sqrt.f64 a)) (sqrt.f64 a))
(+.f64 1 (-.f64 (*.f64 (/.f64 t a) z) 1))
(+.f64 (/.f64 z (/.f64 a t)) 0)
(*.f64 t (/.f64 z a))
(/.f64 (/.f64 (*.f64 z t) 1) a)
(+.f64 1 (-.f64 (*.f64 (/.f64 t a) z) 1))
(+.f64 (/.f64 z (/.f64 a t)) 0)
(*.f64 t (/.f64 z a))
(/.f64 (/.f64 (*.f64 z t) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(+.f64 1 (-.f64 (*.f64 (/.f64 t a) z) 1))
(+.f64 (/.f64 z (/.f64 a t)) 0)
(*.f64 t (/.f64 z a))
(/.f64 (/.f64 (*.f64 z t) -1) a)
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(/.f64 (.f64 -1 (.f64 z t)) a)
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(/.f64 (.f64 (.f64 z t) -1) a)
(/.f64 (*.f64 z (neg.f64 t)) a)
(/.f64 (neg.f64 z) (/.f64 a t))
(*.f64 t (/.f64 (neg.f64 z) a))
(pow.f64 (/.f64 z (/.f64 a t)) 1)
(+.f64 1 (-.f64 (*.f64 (/.f64 t a) z) 1))
(+.f64 (/.f64 z (/.f64 a t)) 0)
(*.f64 t (/.f64 z a))
(pow.f64 (pow.f64 (/.f64 z (/.f64 a t)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 (/.f64 t a) z) 1))
(+.f64 (/.f64 z (/.f64 a t)) 0)
(*.f64 t (/.f64 z a))
(pow.f64 (cbrt.f64 (/.f64 z (/.f64 a t))) 3)
(+.f64 1 (-.f64 (*.f64 (/.f64 t a) z) 1))
(+.f64 (/.f64 z (/.f64 a t)) 0)
(*.f64 t (/.f64 z a))
(pow.f64 (sqrt.f64 (/.f64 z (/.f64 a t))) 2)
(+.f64 1 (-.f64 (*.f64 (/.f64 t a) z) 1))
(+.f64 (/.f64 z (/.f64 a t)) 0)
(*.f64 t (/.f64 z a))
(sqrt.f64 (pow.f64 (/.f64 z (/.f64 a t)) 2))
(+.f64 1 (-.f64 (*.f64 (/.f64 t a) z) 1))
(+.f64 (/.f64 z (/.f64 a t)) 0)
(*.f64 t (/.f64 z a))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 t a)))
(+.f64 1 (-.f64 (*.f64 (/.f64 t a) z) 1))
(+.f64 (/.f64 z (/.f64 a t)) 0)
(*.f64 t (/.f64 z a))
(cbrt.f64 (pow.f64 (/.f64 z (/.f64 a t)) 3))
(+.f64 1 (-.f64 (*.f64 (/.f64 t a) z) 1))
(+.f64 (/.f64 z (/.f64 a t)) 0)
(*.f64 t (/.f64 z a))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 z t) 3) (pow.f64 a 3)))
(+.f64 1 (-.f64 (*.f64 (/.f64 t a) z) 1))
(+.f64 (/.f64 z (/.f64 a t)) 0)
(*.f64 t (/.f64 z a))
(cbrt.f64 (.f64 (pow.f64 (.f64 z t) 3) (/.f64 (pow.f64 a -2) a)))
(+.f64 1 (-.f64 (*.f64 (/.f64 t a) z) 1))
(+.f64 (/.f64 z (/.f64 a t)) 0)
(*.f64 t (/.f64 z a))
(cbrt.f64 (.f64 (/.f64 (pow.f64 a -2) a) (pow.f64 (.f64 z t) 3)))
(+.f64 1 (-.f64 (*.f64 (/.f64 t a) z) 1))
(+.f64 (/.f64 z (/.f64 a t)) 0)
(*.f64 t (/.f64 z a))
(expm1.f64 (log1p.f64 (/.f64 z (/.f64 a t))))
(+.f64 1 (-.f64 (*.f64 (/.f64 t a) z) 1))
(+.f64 (/.f64 z (/.f64 a t)) 0)
(*.f64 t (/.f64 z a))
(log1p.f64 (expm1.f64 (/.f64 z (/.f64 a t))))
(+.f64 1 (-.f64 (*.f64 (/.f64 t a) z) 1))
(+.f64 (/.f64 z (/.f64 a t)) 0)
(*.f64 t (/.f64 z a))
(exp.f64 (log.f64 (/.f64 z (/.f64 a t))))
(+.f64 1 (-.f64 (*.f64 (/.f64 t a) z) 1))
(+.f64 (/.f64 z (/.f64 a t)) 0)
(*.f64 t (/.f64 z a))

eval67.0ms (0.7%)

Compiler: Compiled 5080 to 1994 computations (60.7% saved)

prune110.0ms (1.2%)

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	349	5	354
Fresh	4	4	8
Picked	0	1	1
Done	1	7	8
Total	354	17	371

Error

Counts

371 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	6.8b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
✓	33.0b	(/.f64 (*.f64 z (neg.f64 t)) a)
✓	31.4b	(/.f64 (*.f64 y x) a)
	34.1b	(/.f64 (neg.f64 z) (/.f64 a t))
	57.0b	(/.f64 z (/.f64 a t))
✓	30.3b	(/.f64 y (/.f64 a x))
▶	32.3b	(/.f64 x (/.f64 a y))
	31.4b	(/.f64 1 (/.f64 a (*.f64 y x)))
▶	8.7b	(-.f64 (/.f64 x (/.f64 a y)) (/.f64 (/.f64 z a) (/.f64 1 t)))
	9.8b	(-.f64 (*.f64 (/.f64 y a) x) (/.f64 z (/.f64 a t)))
▶	31.4b	(*.f64 (/.f64 1 a) (/.f64 y (/.f64 1 x)))
▶	57.0b	(.f64 (/.f64 1 a) (.f64 z t))
✓	31.4b	(.f64 (/.f64 1 a) (.f64 y x))
✓	33.0b	(.f64 (.f64 z t) (/.f64 1 (neg.f64 a)))
▶	34.3b	(*.f64 z (/.f64 (neg.f64 t) a))
✓	30.2b	(*.f64 y (/.f64 x a))
✓	32.2b	(*.f64 x (/.f64 y a))

Compiler

Compiled 318 to 226 computations (28.9% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.2b	(/.f64 (/.f64 z a) (/.f64 1 t))
	7.7b	(/.f64 x (/.f64 a y))

Compiler

Compiled 45 to 18 computations (60% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite69.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

939×	`pow1_binary64`
871×	`add-log-exp_binary64`
871×	`log1p-expm1-u_binary64`
871×	`expm1-log1p-u_binary64`
851×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	172	7
2	2388	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(/.f64 (/.f64 z a) (/.f64 1 t))

Outputs

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

simplify45.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

630×	`log-div_binary64`
569×	`log-prod_binary64`
424×	`fma-def_binary64`
415×	`associate-/l*_binary64`
385×	`associate-*l/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	122	608
1	332	590
2	1105	590
3	5366	590

Stop Event

1×	node limit

Counts

77 → 48

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	7.7b	(/.f64 x (/.f64 a y))

Compiler

Compiled 16 to 7 computations (56.3% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 8 computations (60% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite60.0ms (0.6%)

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 t) a))

Outputs

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

simplify44.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

637×	`log-prod_binary64`
565×	`distribute-rgt-in_binary64`
552×	`distribute-lft-in_binary64`
456×	`associate-l_binary64`
383×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	593
1	149	539
2	599	485
3	3716	485

Stop Event

1×	node limit

Counts

57 → 30

Calls

Call 1

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

Outputs
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(.f64 -1 (/.f64 (.f64 t z) a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(-.f64 (+.f64 1 (*.f64 z (/.f64 t a))) 1)
(+.f64 (+.f64 1 (*.f64 z (/.f64 t a))) -1)
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(/.f64 z (/.f64 a t))
(+.f64 (+.f64 1 (*.f64 z (/.f64 t a))) -1)
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(/.f64 1 (/.f64 a (*.f64 z t)))
(+.f64 (+.f64 1 (*.f64 z (/.f64 t a))) -1)
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(/.f64 (*.f64 z t) a)
(+.f64 (+.f64 1 (*.f64 z (/.f64 t a))) -1)
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(/.f64 (*.f64 z t) (neg.f64 a))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(/.f64 (/.f64 (*.f64 z t) 1) a)
(+.f64 (+.f64 1 (*.f64 z (/.f64 t a))) -1)
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(/.f64 (/.f64 (.f64 z t) (cbrt.f64 (.f64 a a))) (cbrt.f64 a))
(/.f64 (/.f64 (.f64 t z) (cbrt.f64 (.f64 a a))) (cbrt.f64 a))
(.f64 (/.f64 t (cbrt.f64 a)) (/.f64 z (cbrt.f64 (.f64 a a))))
(/.f64 (/.f64 (*.f64 z t) (sqrt.f64 a)) (sqrt.f64 a))
(+.f64 (+.f64 1 (*.f64 z (/.f64 t a))) -1)
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(pow.f64 (*.f64 z (/.f64 t a)) 1)
(+.f64 (+.f64 1 (*.f64 z (/.f64 t a))) -1)
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(pow.f64 (pow.f64 (*.f64 z (/.f64 t a)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 z (/.f64 t a))) -1)
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 t a))) 3)
(+.f64 (+.f64 1 (*.f64 z (/.f64 t a))) -1)
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 t a))) 2)
(+.f64 (+.f64 1 (*.f64 z (/.f64 t a))) -1)
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(neg.f64 (*.f64 z (/.f64 t a)))
(*.f64 (neg.f64 z) (/.f64 t a))
(*.f64 z (neg.f64 (/.f64 t a)))
(*.f64 (/.f64 t a) (neg.f64 z))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 t a)) 2))
(+.f64 (+.f64 1 (*.f64 z (/.f64 t a))) -1)
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(log.f64 (pow.f64 (exp.f64 (/.f64 t a)) z))
(+.f64 (+.f64 1 (*.f64 z (/.f64 t a))) -1)
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 t a)) 3))
(+.f64 (+.f64 1 (*.f64 z (/.f64 t a))) -1)
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 t a) 3)))
(+.f64 (+.f64 1 (*.f64 z (/.f64 t a))) -1)
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 t a) 3) (pow.f64 z 3)))
(+.f64 (+.f64 1 (*.f64 z (/.f64 t a))) -1)
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 t a))))
(+.f64 (+.f64 1 (*.f64 z (/.f64 t a))) -1)
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 t a))))
(+.f64 (+.f64 1 (*.f64 z (/.f64 t a))) -1)
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))
(exp.f64 (log.f64 (*.f64 z (/.f64 t a))))
(+.f64 (+.f64 1 (*.f64 z (/.f64 t a))) -1)
(+.f64 (*.f64 z (/.f64 t a)) 0)
(*.f64 z (/.f64 t a))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.7b	(.f64 (/.f64 1 a) (.f64 z t))

Compiler

Compiled 22 to 12 computations (45.5% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite44.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`pow1_binary64`
700×	`add-log-exp_binary64`
700×	`log1p-expm1-u_binary64`
700×	`expm1-log1p-u_binary64`
684×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	159	7
2	1940	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(.f64 (/.f64 1 a) (.f64 z t))

Outputs

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

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

571×	`log-div_binary64`
564×	`associate-l_binary64`
505×	`times-frac_binary64`
483×	`associate-r_binary64`
291×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	434
1	179	434
2	719	434
3	5722	434

Stop Event

1×	node limit

Counts

62 → 29

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 y (/.f64 1 x))
✓	6.6b	(*.f64 (/.f64 1 a) (/.f64 y (/.f64 1 x)))

Compiler

Compiled 29 to 19 computations (34.5% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

493×	`log-prod_binary64`
444×	`prod-exp_binary64`
381×	`exp-prod_binary64`
333×	`pow-prod-down_binary64`
241×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	193	11
2	2646	11

Stop Event

1×	node limit

Counts

2 → 148

Calls

Call 1

Inputs
(*.f64 (/.f64 1 a) (/.f64 y (/.f64 1 x)))
(/.f64 y (/.f64 1 x))

Outputs

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

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

786×	`fma-def_binary64`
351×	`distribute-rgt-in_binary64`
315×	`log-prod_binary64`
206×	`cube-prod_binary64`
203×	`div-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	357	1416
1	914	1364
2	2904	1364

Stop Event

1×	node limit

Counts

208 → 169

Calls

Call 1

Inputs
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(/.f64 (*.f64 y x) a)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(+.f64 0 (*.f64 y (/.f64 x a)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x a)))))
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(/.f64 (neg.f64 y) (*.f64 (neg.f64 a) (/.f64 1 x)))
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(/.f64 (.f64 (neg.f64 y) 1) (.f64 (/.f64 -1 x) a))
(/.f64 (.f64 y -1) (.f64 (/.f64 1 x) (neg.f64 a)))
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(/.f64 (/.f64 (/.f64 y a) (pow.f64 x -1/2)) (pow.f64 x -1/2))
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(/.f64 (*.f64 (/.f64 1 a) (neg.f64 y)) (/.f64 -1 x))
(/.f64 (.f64 (.f64 y x) -1) (neg.f64 a))
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(pow.f64 (sqrt.f64 (*.f64 y (/.f64 x a))) 2)
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(pow.f64 (*.f64 a (/.f64 (/.f64 1 x) y)) -1)
(pow.f64 (*.f64 (/.f64 (/.f64 1 x) y) a) -1)
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(pow.f64 (/.f64 a (*.f64 y x)) -1)
(pow.f64 (/.f64 (/.f64 1 x) (/.f64 y a)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (/.f64 x a)))) 2)) (cbrt.f64 (log.f64 (.f64 y (/.f64 x a)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (/.f64 x a))))) (sqrt.f64 (log.f64 (.f64 y (/.f64 x a)))))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 x a)) 2))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 x a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 x a)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 x a)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 x a))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 x a))))
(exp.f64 (log.f64 (*.f64 y (/.f64 x a))))
(exp.f64 (.f64 (log.f64 (.f64 y (/.f64 x a))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 y (/.f64 x a)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (/.f64 x a)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (/.f64 x a)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (/.f64 x a))) 1) 1))
(exp.f64 (-.f64 (.f64 (log.f64 a) -1) (neg.f64 (log.f64 (.f64 y x)))))
(exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 a)) 1) (neg.f64 (log.f64 (.f64 y x)))))
(exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (log.f64 (/.f64 a x))))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 y x)) 1) (log.f64 a)))
(exp.f64 (-.f64 (log.f64 (.f64 y x)) (.f64 (log.f64 a) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 y x)) 1) (*.f64 (log.f64 a) 1)))
(exp.f64 (-.f64 (log.f64 (/.f64 y a)) (*.f64 (log.f64 x) -1)))
(exp.f64 (-.f64 (log.f64 (/.f64 y a)) (*.f64 (neg.f64 (log.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 a) -1) (log.f64 (.f64 y x))))
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 a)) 1) (log.f64 (.f64 y x))))
(exp.f64 (+.f64 (neg.f64 (log.f64 a)) (.f64 (log.f64 (.f64 y x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 a) -1) (.f64 (log.f64 (*.f64 y x)) 1)))
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 a)) 1) (.f64 (log.f64 (*.f64 y x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 y x)) 1) (neg.f64 (log.f64 a))))
(exp.f64 (+.f64 (log.f64 (.f64 y x)) (.f64 (log.f64 a) -1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 y x)) 1) (*.f64 (log.f64 a) -1)))
(exp.f64 (+.f64 (log.f64 (.f64 y x)) (.f64 (neg.f64 (log.f64 a)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 y x)) 1) (*.f64 (neg.f64 (log.f64 a)) 1)))
(exp.f64 (+.f64 (log.f64 (/.f64 y a)) (*.f64 (log.f64 x) 1)))
(+.f64 0 (*.f64 y x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) 1)
(.f64 1 (.f64 y x))
(*.f64 y x)
(*.f64 x y)
(.f64 (.f64 y x) 1)
(.f64 (cbrt.f64 (.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (*.f64 y x)))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) x))
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(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 x -2))) (/.f64 (sqrt.f64 y) (/.f64 1 (cbrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 y) (pow.f64 x -1/2)))
(*.f64 (/.f64 y -1) (neg.f64 x))
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(pow.f64 (/.f64 (/.f64 1 x) y) -1)
(pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 x -3)) 1/3)
(pow.f64 (/.f64 (/.f64 (/.f64 1 x) y) 1) -1)
(pow.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) 1/3)
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 y)) 3)
(pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y x))) 2)) (cbrt.f64 (log.f64 (.f64 y x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y x)))) (sqrt.f64 (log.f64 (.f64 y x))))
(neg.f64 (/.f64 y (/.f64 -1 x)))
(sqrt.f64 (pow.f64 (*.f64 y x) 2))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 x -3)))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (.f64 (log.f64 (.f64 y x)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 y x))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y x))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y x))) 2))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 y x))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y x)) 1) 1))
(exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (neg.f64 (log.f64 x))))
(exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 x) -1)))
(exp.f64 (-.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 x) -1)))
(exp.f64 (-.f64 (log.f64 y) (*.f64 (neg.f64 (log.f64 x)) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 y) 1) (.f64 (neg.f64 (log.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 y)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 y) 1)))

Outputs
(/.f64 (*.f64 y x) a)
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(/.f64 (*.f64 y x) a)
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(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x a)))))
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(exp.f64 (-.f64 (.f64 (log.f64 y) 1) (.f64 (neg.f64 (log.f64 x)) 1)))
(*.f64 y x)
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 x)))
(*.f64 y x)
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 x) 1)))
(*.f64 y x)
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 x) 1)))
(*.f64 y x)
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 y)))
(*.f64 y x)
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 y) 1)))
(*.f64 y x)
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 y) 1)))
(*.f64 y x)

eval81.0ms (0.9%)

Compiler: Compiled 4529 to 1855 computations (59% saved)

prune91.0ms (1%)

Pruning

17 alts after pruning (5 fresh and 12 done)

	Pruned	Kept	Total
New	370	2	372
Fresh	1	3	4
Picked	1	0	1
Done	0	12	12
Total	372	17	389

Error

Counts

389 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	32.2b	(/.f64 (/.f64 y a) (/.f64 1 x))
✓	6.8b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
✓	33.0b	(/.f64 (*.f64 z (neg.f64 t)) a)
✓	31.4b	(/.f64 (*.f64 y x) a)
	34.1b	(/.f64 (neg.f64 z) (/.f64 a t))
	57.0b	(/.f64 z (/.f64 a t))
✓	30.3b	(/.f64 y (/.f64 a x))
✓	32.3b	(/.f64 x (/.f64 a y))
	30.3b	(/.f64 1 (/.f64 (/.f64 a x) y))
✓	8.7b	(-.f64 (/.f64 x (/.f64 a y)) (/.f64 (/.f64 z a) (/.f64 1 t)))
	9.8b	(-.f64 (*.f64 (/.f64 y a) x) (/.f64 z (/.f64 a t)))
✓	57.0b	(.f64 (/.f64 1 a) (.f64 z t))
✓	31.4b	(.f64 (/.f64 1 a) (.f64 y x))
✓	33.0b	(.f64 (.f64 z t) (/.f64 1 (neg.f64 a)))
✓	34.3b	(*.f64 z (/.f64 (neg.f64 t) a))
✓	30.2b	(*.f64 y (/.f64 x a))
✓	32.2b	(*.f64 x (/.f64 y a))

Compiler

Compiled 202 to 143 computations (29.2% saved)

regimes721.0ms (7.8%)

Counts

31 → 5

Calls

Call 1

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

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

Calls

13 calls:

89.0ms	(*.f64 z t)
87.0ms	(*.f64 z t)
66.0ms	t
64.0ms	(-.f64 (.f64 x y) (.f64 z t))
63.0ms	(-.f64 (.f64 x y) (.f64 z t))

Results

Error	Segments	Branch
4.0b	3	`x`
3.9b	3	`y`
5.2b	3	`z`
4.3b	4	`t`
3.6b	3	`a`
1.3b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
1.3b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
0.2b	5	`(-.f64 (.f64 x y) (.f64 z t))`
0.2b	5	`(-.f64 (.f64 x y) (.f64 z t))`
2.6b	3	`(*.f64 x y)`
2.6b	3	`(*.f64 x y)`
2.4b	5	`(*.f64 z t)`
2.4b	5	`(*.f64 z t)`

Compiler

Compiled 379 to 181 computations (52.2% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	9.96372325274918e+251	1.0521432605596896e+255
0.0ms	7e-323	6.538603491970352e-296
0.0ms	-2.461723457613044e-127	-5.408558463818399e-129
0.0ms	-3.328618934749794e+285	-1.2784104363096447e+283

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes486.0ms (5.2%)

Counts

26 → 5

Calls

Call 1

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

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

Calls

12 calls:

67.0ms	a
53.0ms	x
51.0ms	(-.f64 (.f64 x y) (.f64 z t))
50.0ms	(-.f64 (.f64 x y) (.f64 z t))
44.0ms	y

Results

Error	Segments	Branch
4.1b	3	`x`
4.4b	4	`y`
6.8b	1	`z`
4.3b	4	`t`
3.9b	3	`a`
1.3b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
0.2b	5	`(-.f64 (.f64 x y) (.f64 z t))`
0.2b	5	`(-.f64 (.f64 x y) (.f64 z t))`
2.8b	3	`(*.f64 x y)`
2.8b	3	`(*.f64 x y)`
3.5b	3	`(*.f64 z t)`
3.5b	3	`(*.f64 z t)`

Compiler

Compiled 304 to 154 computations (49.3% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	9.96372325274918e+251	1.0521432605596896e+255
0.0ms	7e-323	6.538603491970352e-296
0.0ms	-2.461723457613044e-127	-5.408558463818399e-129
0.0ms	-3.259538620293302e+293	-3.328618934749794e+285

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes491.0ms (5.3%)

Counts

22 → 5

Calls

Call 1

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

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

Calls

12 calls:

68.0ms	t
67.0ms	(-.f64 (.f64 x y) (.f64 z t))
65.0ms	(-.f64 (.f64 x y) (.f64 z t))
52.0ms	a
46.0ms	(*.f64 z t)

Results

Error	Segments	Branch
5.3b	2	`x`
4.6b	4	`y`
6.8b	1	`z`
4.4b	4	`t`
3.9b	3	`a`
1.4b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
0.2b	5	`(-.f64 (.f64 x y) (.f64 z t))`
0.2b	5	`(-.f64 (.f64 x y) (.f64 z t))`
2.8b	3	`(*.f64 x y)`
2.8b	3	`(*.f64 x y)`
3.5b	3	`(*.f64 z t)`
3.5b	3	`(*.f64 z t)`

Compiler

Compiled 254 to 139 computations (45.3% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	9.96372325274918e+251	1.0521432605596896e+255
0.0ms	7e-323	6.538603491970352e-296
0.0ms	-1.7922368420202717e-231	-2.0905492936023758e-232
0.0ms	-3.259538620293302e+293	-3.328618934749794e+285

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes454.0ms (4.9%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

12 calls:

136.0ms	(*.f64 z t)
47.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
44.0ms	(*.f64 x y)
42.0ms	x
40.0ms	(-.f64 (.f64 x y) (.f64 z t))

Results

Error	Segments	Branch
5.3b	2	`x`
6.8b	1	`y`
6.8b	1	`z`
6.8b	1	`t`
6.8b	1	`a`
3.5b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
3.5b	3	`(-.f64 (.f64 x y) (.f64 z t))`
3.5b	3	`(-.f64 (.f64 x y) (.f64 z t))`
3.6b	3	`(*.f64 x y)`
3.6b	3	`(*.f64 x y)`
5.3b	2	`(*.f64 z t)`
5.3b	2	`(*.f64 z t)`

Compiler

Compiled 243 to 137 computations (43.6% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.9343000776949144e+270	+inf
0.0ms	-5.467497801019073e+297	-1.1666509169900005e+294

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes567.0ms (6.1%)

Counts

19 → 6

Calls

Call 1

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

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

Calls

9 calls:

103.0ms	z
93.0ms	y
85.0ms	a
66.0ms	(*.f64 x y)
60.0ms	t

Results

Error	Segments	Branch
20.8b	3	`x`
19.7b	5	`y`
18.7b	7	`z`
18.2b	7	`t`
21.0b	10	`a`
14.1b	6	`(*.f64 x y)`
14.1b	6	`(*.f64 x y)`
15.4b	3	`(*.f64 z t)`
15.4b	3	`(*.f64 z t)`

Compiler

Compiled 185 to 107 computations (42.2% saved)

bsearch1.0ms (0%)

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	3.837320395481443e+53	2.786285793895083e+60
0.0ms	64596032764.371506	4639797892466.83
0.0ms	2.6764665514913676e-25	6.384350319018112e-23
0.0ms	-4.883428112561125e+24	-2.061252753155352e+20
0.0ms	-3.328618934749794e+285	-2.141473772160535e+282

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes272.0ms (2.9%)

Counts

10 → 7

Calls

Call 1

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

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

Calls

5 calls:

96.0ms	a
72.0ms	z
44.0ms	t
36.0ms	y
22.0ms	x

Results

Error	Segments	Branch
21.3b	3	`x`
20.6b	5	`y`
18.9b	7	`z`
18.3b	7	`t`
20.4b	12	`a`

Compiler

Compiled 88 to 51 computations (42% saved)

bsearch81.0ms (0.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
12.0ms	7.75861321007784e+128	6.333043768172021e+129
15.0ms	1.8676276434086113e+114	2.7936851799093614e+115
15.0ms	7.912628372069693e+93	1.3549348281299586e+96
13.0ms	1.664608558281229e+73	4.173637673911124e+75
10.0ms	1.4381216539896302e+53	2.011574963771084e+53
16.0ms	-3.526355401285141e-102	-7.278369270338363e-106

Results

70.0ms	608×	body	256	valid
4.0ms	40×	body	256	infinite

Compiler

Compiled 896 to 662 computations (26.1% saved)

regimes151.0ms (1.6%)

Counts

8 → 7

Calls

Call 1

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

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

Calls

5 calls:

39.0ms	a
33.0ms	z
32.0ms	t
30.0ms	y
14.0ms	x

Results

Error	Segments	Branch
21.8b	3	`x`
21.9b	5	`y`
19.7b	7	`z`
20.2b	5	`t`
23.5b	8	`a`

Compiler

Compiled 76 to 47 computations (38.2% saved)

bsearch78.0ms (0.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
9.0ms	3.6669348863094274e-90	1.0458840675289969e-89
10.0ms	4.528920910479162e-122	1.3526144708103592e-121
15.0ms	1.0020096665802503e-143	9.73904980765967e-140
9.0ms	-2.0413289764474718e+38	-5.839407401012505e+37
16.0ms	-2.873456457551373e+81	-2.4836665820013406e+78
18.0ms	-2.422450742551518e+109	-1.2922254376630286e+100

Results

68.0ms	640×	body	256	valid
3.0ms	31×	body	256	infinite

Compiler

Compiled 942 to 696 computations (26.1% saved)

regimes29.0ms (0.3%)

Accuracy

Total -27.0b remaining (-89.5%)

Threshold costs -27.0b (-89.5%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	y
5.0ms	t
5.0ms	a
5.0ms	x
5.0ms	z

Results

Error	Segments	Branch
30.2b	1	`x`
30.2b	1	`y`
30.2b	1	`z`
30.2b	1	`t`
30.2b	1	`a`

Compiler

Compiled 70 to 44 computations (37.1% saved)

simplify26.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
12×	`+-commutative_binary64`
12×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	750
1	142	750
2	168	750
3	190	750
4	200	750
5	203	750

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -1999999999999999960318315841040885700386219039705694423600051421123300719965076170448177232372292987688572298794442900745238641790877787395895304332910450668118745492827496294412886841783505081241175060724440547726013803102191981415396885683051819084945689177376162160752265237201158144) (fma.f64 (/.f64 y 1) (/.f64 x a) (neg.f64 (/.f64 z (/.f64 a t)))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -2438866054934369/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 5/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 1000000000000000099152028052998409011920202342162715294588395300751542199979533737409779075865727753926819359851621495586577336764022655397834297874715562088326669341630279279057944337344270883862880412035963403187241060084423965317738575228107571068928) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t)))))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968) (-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -2438866054934369/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 5/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 1000000000000000099152028052998409011920202342162715294588395300751542199979533737409779075865727753926819359851621495586577336764022655397834297874715562088326669341630279279057944337344270883862880412035963403187241060084423965317738575228107571068928) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t)))))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968) (-.f64 (.f64 (/.f64 y a) x) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -3495959950985713/3495959950985713037648777335653666807949431051290362857597833215614143555340930683513828645730545455985029236965209926766894148041634933679253543217964426223207137977048243664827490388364133151397099610379851714779776678907072458937421726941708288) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 5/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (-.f64 (.f64 (/.f64 y a) x) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 1000000000000000099152028052998409011920202342162715294588395300751542199979533737409779075865727753926819359851621495586577336764022655397834297874715562088326669341630279279057944337344270883862880412035963403187241060084423965317738575228107571068928) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (-.f64 (*.f64 (/.f64 y a) x) (/.f64 z (/.f64 a t)))))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112) (.f64 y (/.f64 x a)) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 4999999999999999764549292626986875572750671187323497602221849766876111154604067550387368627199534937982247029399513448412004641879220737958453399743194695221845639734329117175452054939260350471574028523397055086927229171436397382528116999841118317789671471470721563099136) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (.f64 y (/.f64 x a))))
(if (<=.f64 (.f64 x y) -1999999999999999960318315841040885700386219039705694423600051421123300719965076170448177232372292987688572298794442900745238641790877787395895304332910450668118745492827496294412886841783505081241175060724440547726013803102191981415396885683051819084945689177376162160752265237201158144) (.f64 y (/.f64 x a)) (if (<=.f64 (.f64 x y) -3999999999999999932891136) (/.f64 (.f64 y x) a) (if (<=.f64 (.f64 x y) 5444517870735015/10889035741470030830827987437816582766592) (/.f64 (.f64 z (neg.f64 t)) a) (if (<=.f64 (.f64 x y) 100000000000) (/.f64 (.f64 y x) a) (if (<=.f64 (.f64 x y) 500000000000000039145770202298121921152680149943058432) (.f64 z (/.f64 (neg.f64 t) a)) (*.f64 y (/.f64 x a)))))))
(if (<=.f64 t -8573876548335439/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224) (.f64 z (/.f64 (neg.f64 t) a)) (if (<=.f64 t 187999999999999998725538350779986059574801187085484032) (/.f64 (.f64 y x) a) (if (<=.f64 t 3599999999999999976583918874180857455926005425892474772475976178628229595136) (.f64 z (/.f64 (neg.f64 t) a)) (if (<=.f64 t 8000000000000000347018375796953488586322346599615514494334190314688934503117448887530590044160) (.f64 y (/.f64 x a)) (if (<=.f64 t 27000000000000000420104235495604761655241437716868658700983805671632512091448403988154605527706281087257569583431680) (.f64 z (/.f64 (neg.f64 t) a)) (if (<=.f64 t 800000000000000060139589533214566901977143251481926570786327281886212740193932163731632880878206428342612764031082021061342003200) (.f64 x (/.f64 y a)) (*.f64 (/.f64 z a) (neg.f64 t))))))))
(if (<=.f64 z -599999999999999937492030790988111045840645313566047673833294806699119762143004211252326069460636125888512) (.f64 z (/.f64 (neg.f64 t) a)) (if (<=.f64 z -189999999999999998734155097088932991697089216198401133300262064654766651262107648) (/.f64 y (/.f64 a x)) (if (<=.f64 z -71999999999999999512511028777059352576) (.f64 z (/.f64 (neg.f64 t) a)) (if (<=.f64 z 5094967013378187/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (/.f64 (.f64 y x) a) (if (<=.f64 z 7442828536787015/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (.f64 z (/.f64 (neg.f64 t) a)) (if (<=.f64 z 2924210735387341/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328) (.f64 y (/.f64 x a)) (.f64 z (/.f64 (neg.f64 t) a))))))))
(*.f64 y (/.f64 x a))
(*.f64 x (/.f64 y a))

Outputs
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -1999999999999999960318315841040885700386219039705694423600051421123300719965076170448177232372292987688572298794442900745238641790877787395895304332910450668118745492827496294412886841783505081241175060724440547726013803102191981415396885683051819084945689177376162160752265237201158144) (fma.f64 (/.f64 y 1) (/.f64 x a) (neg.f64 (/.f64 z (/.f64 a t)))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -2438866054934369/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 5/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 1000000000000000099152028052998409011920202342162715294588395300751542199979533737409779075865727753926819359851621495586577336764022655397834297874715562088326669341630279279057944337344270883862880412035963403187241060084423965317738575228107571068928) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t)))))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -1999999999999999960318315841040885700386219039705694423600051421123300719965076170448177232372292987688572298794442900745238641790877787395895304332910450668118745492827496294412886841783505081241175060724440547726013803102191981415396885683051819084945689177376162160752265237201158144) (fma.f64 y (/.f64 x a) (/.f64 (neg.f64 z) (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -2438866054934369/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 5/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 1000000000000000099152028052998409011920202342162715294588395300751542199979533737409779075865727753926819359851621495586577336764022655397834297874715562088326669341630279279057944337344270883862880412035963403187241060084423965317738575228107571068928) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t)))))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968) (-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -2438866054934369/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 5/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 1000000000000000099152028052998409011920202342162715294588395300751542199979533737409779075865727753926819359851621495586577336764022655397834297874715562088326669341630279279057944337344270883862880412035963403187241060084423965317738575228107571068928) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t)))))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968) (-.f64 (.f64 (/.f64 y a) x) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -3495959950985713/3495959950985713037648777335653666807949431051290362857597833215614143555340930683513828645730545455985029236965209926766894148041634933679253543217964426223207137977048243664827490388364133151397099610379851714779776678907072458937421726941708288) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 5/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (-.f64 (.f64 (/.f64 y a) x) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 1000000000000000099152028052998409011920202342162715294588395300751542199979533737409779075865727753926819359851621495586577336764022655397834297874715562088326669341630279279057944337344270883862880412035963403187241060084423965317738575228107571068928) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (-.f64 (*.f64 (/.f64 y a) x) (/.f64 z (/.f64 a t)))))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968) (-.f64 (.f64 x (/.f64 y a)) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -3495959950985713/3495959950985713037648777335653666807949431051290362857597833215614143555340930683513828645730545455985029236965209926766894148041634933679253543217964426223207137977048243664827490388364133151397099610379851714779776678907072458937421726941708288) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 5/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696) (-.f64 (.f64 x (/.f64 y a)) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 1000000000000000099152028052998409011920202342162715294588395300751542199979533737409779075865727753926819359851621495586577336764022655397834297874715562088326669341630279279057944337344270883862880412035963403187241060084423965317738575228107571068928) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (-.f64 (*.f64 x (/.f64 y a)) (/.f64 z (/.f64 a t)))))))
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(*.f64 y (/.f64 x a))
(*.f64 x (/.f64 y a))

Compiler

Compiled 555 to 208 computations (62.5% saved)

soundness0.0ms (0%)

end142.0ms (1.5%)

Compiler: Compiled 899 to 245 computations (72.7% saved)