Details

analyze427.0ms (3.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
3.1%	96.6%	0.2%	11
4.7%	95.1%	0.2%	12

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample2.3s (19.9%)

Results

1.6s	8256×	body	256	valid
682.0ms	3319×	body	256	invalid

preprocess88.0ms (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)

simplify65.0ms (0.6%)

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

8.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.5b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(-.f64 (.f64 x y) (.f64 z t))
✓	8.0b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

Compiler

Compiled 32 to 9 computations (71.9% saved)

series16.0ms (0.1%)

Counts

2 → 108

Calls

27 calls:

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

rewrite95.0ms (0.8%)

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 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(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))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x y) (.f64 z (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x y) (.f64 (.f64 z (neg.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x y) (fma.f64 z (neg.f64 t) (fma.f64 z (neg.f64 t) (.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x y) (.f64 z t)) (fma.f64 z (neg.f64 t) (.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x y) (.f64 z t)) (fma.f64 (.f64 z (neg.f64 t)) 1 (.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x y) (.f64 z t)) (.f64 (fma.f64 z (neg.f64 t) (.f64 z t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.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))))))) (#(struct:change 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Outputs

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(*.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)))))))))

simplify131.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1011×	`fma-def_binary64`
397×	`fma-neg_binary64`
148×	`cancel-sign-sub-inv_binary64`
92×	`associate-/l*_binary64`
79×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	1332
1	40	1140
2	75	1140
3	133	1140
4	230	1140
5	375	1140
6	612	1140
7	883	1140
8	1369	1140
9	2193	1140
10	2826	1140
11	2869	1140
12	2899	1140
13	2904	1140
14	2904	1140

Stop Event

1×

saturated

Counts

342 → 246

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))

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

eval49.0ms (0.4%)

Compiler: Compiled 4690 to 1122 computations (76.1% saved)

prune54.0ms (0.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	234	12	246
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	234	13	247

Error

0.0b

Counts

247 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	35.5b	(/.f64 (*.f64 t (neg.f64 z)) a)
	8.5b	(pow.f64 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))) -1)
✓	8.5b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
	37.7b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) 2)
	10.1b	(fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
▶	8.5b	(/.f64 (fma.f64 y x (*.f64 z (neg.f64 t))) a)
▶	8.5b	(.f64 (/.f64 1 a) (-.f64 (.f64 x y) (*.f64 z t)))
▶	33.8b	(*.f64 y (/.f64 x a))
	33.2b	(/.f64 (*.f64 y x) a)
	9.4b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) 3) a)
▶	8.5b	(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
▶	35.6b	(*.f64 t (/.f64 (neg.f64 z) a))
	8.9b	(-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t)))

Compiler

Compiled 360 to 245 computations (31.9% saved)

localize58.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
✓	5.6b	(/.f64 (*.f64 y x) a)
✓	5.9b	(/.f64 (*.f64 t z) a)

Compiler

Compiled 47 to 15 computations (68.1% saved)

series19.0ms (0.2%)

Counts

3 → 24

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
2.0ms	t	@	inf	(/.f64 (*.f64 t z) a)
1.0ms	t	@	0	(/.f64 (*.f64 t z) a)
1.0ms	y	@	0	(/.f64 (*.f64 y x) a)
1.0ms	z	@	0	(/.f64 (*.f64 t z) a)

rewrite90.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`log-prod_binary64`
408×	`fma-def_binary64`
249×	`pow1/3_binary64`
239×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	279	30
2	4202	28

Stop Event

1×	node limit

Counts

3 → 230

Calls

Call 1

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

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

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

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1175×	`fma-def_binary64`
293×	`fma-neg_binary64`
121×	`cancel-sign-sub-inv_binary64`
109×	`associate-/l*_binary64`
103×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	264
1	44	252
2	106	252
3	214	252
4	402	252
5	890	252
6	1791	252
7	2815	252
8	3063	252
9	3101	252
10	3106	252

Stop Event

1×

saturated

Counts

254 → 237

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.7b	(*.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	@	0	(*.f64 y (/.f64 x a))
0.0ms	y	@	-inf	(*.f64 y (/.f64 x a))
0.0ms	a	@	inf	(*.f64 y (/.f64 x a))
0.0ms	a	@	-inf	(*.f64 y (/.f64 x a))
0.0ms	y	@	inf	(*.f64 y (/.f64 x a))

rewrite50.0ms (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))))))))

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

58 → 23

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)

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.8b	(*.f64 t (/.f64 (neg.f64 z) a))

Compiler

Compiled 20 to 8 computations (60% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite52.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

simplify37.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

57 → 23

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))

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.5b	(-.f64 (.f64 x y) (.f64 z t))
✓	8.0b	(.f64 (/.f64 1 a) (-.f64 (.f64 x y) (*.f64 z t)))

Compiler

Compiled 38 to 14 computations (63.2% saved)

series4.0ms (0%)

Counts

1 → 60

Calls

15 calls:

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

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`log-prod_binary64`
450×	`pow-prod-down_binary64`
443×	`fma-def_binary64`
332×	`pow2_binary64`
231×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	258	13
2	3420	13

Stop Event

1×	node limit

Counts

1 → 93

Calls

Call 1

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

Outputs

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

simplify108.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1008×	`fma-def_binary64`
397×	`fma-neg_binary64`
148×	`cancel-sign-sub-inv_binary64`
91×	`associate-/l*_binary64`
79×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	720
1	34	720
2	67	720
3	128	720
4	226	720
5	373	720
6	610	720
7	881	720
8	1367	720
9	2189	720
10	2821	720
11	2864	720
12	2894	720
13	2899	720
14	2899	720

Stop Event

1×

saturated

Counts

153 → 99

Calls

Call 1

Inputs
(/.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 (.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))

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(fma.f64 y x (*.f64 z (neg.f64 t)))
✓	8.0b	(/.f64 (fma.f64 y x (*.f64 z (neg.f64 t))) a)

Compiler

Compiled 32 to 9 computations (71.9% saved)

series73.0ms (0.6%)

Counts

2 → 108

Calls

27 calls:

Time	Variable		Point	Expression
60.0ms	x	@	0	(/.f64 (fma.f64 y x (*.f64 z (neg.f64 t))) a)
3.0ms	a	@	inf	(/.f64 (fma.f64 y x (*.f64 z (neg.f64 t))) a)
1.0ms	x	@	inf	(/.f64 (fma.f64 y x (*.f64 z (neg.f64 t))) a)
1.0ms	a	@	0	(/.f64 (fma.f64 y x (*.f64 z (neg.f64 t))) a)
1.0ms	y	@	0	(/.f64 (fma.f64 y x (*.f64 z (neg.f64 t))) a)

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

977×	`pow1_binary64`
895×	`add-log-exp_binary64`
894×	`log1p-expm1-u_binary64`
894×	`expm1-log1p-u_binary64`
108×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	207	19
2	2706	19

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify190.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

979×	`fma-def_binary64`
391×	`fma-neg_binary64`
146×	`cancel-sign-sub-inv_binary64`
92×	`associate-/l*_binary64`
79×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	1368
1	33	1284
2	68	1140
3	124	1140
4	218	1140
5	361	1140
6	573	1140
7	838	1140
8	1273	1140
9	2150	1140
10	2779	1140
11	2822	1140
12	2852	1140
13	2857	1140
14	2857	1140

Stop Event

1×

saturated

Counts

163 → 67

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

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

eval301.0ms (2.6%)

Compiler: Compiled 11656 to 3393 computations (70.9% saved)

prune248.0ms (2.1%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	615	14	629
Fresh	5	2	7
Picked	1	0	1
Done	2	3	5
Total	623	19	642

Error

Counts

642 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	37.7b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) 2)
	36.3b	(/.f64 (+.f64 a (.f64 (/.f64 a (.f64 y x)) (neg.f64 (.f64 t z)))) (.f64 (/.f64 a (*.f64 y x)) a))
▶	32.1b	(*.f64 x (/.f64 y a))
	35.5b	(.f64 (/.f64 1 a) (.f64 t (neg.f64 z)))
✓	33.8b	(*.f64 y (/.f64 x a))
	8.5b	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
	32.0b	(/.f64 x (/.f64 a y))
▶	8.5b	(-.f64 (/.f64 (.f64 x y) a) (/.f64 (.f64 z t) a))
	33.6b	(/.f64 y (/.f64 a x))
	33.2b	(.f64 (/.f64 1 a) (.f64 y x))
	8.9b	(-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t)))
	34.9b	(/.f64 (fma.f64 (neg.f64 (.f64 t z)) (/.f64 a x) (.f64 a y)) (*.f64 a (/.f64 a x)))
▶	10.2b	(+.f64 (.f64 -1 (.f64 t (.f64 z (pow.f64 a -1)))) (/.f64 (.f64 y x) a))
	60.3b	(/.f64 t (/.f64 a z))
▶	9.3b	(-.f64 (.f64 (/.f64 y a) x) (.f64 (/.f64 t a) z))
	35.5b	(/.f64 (*.f64 t (neg.f64 z)) a)
✓	8.5b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
▶	33.2b	(/.f64 (*.f64 y x) a)
✓	35.6b	(*.f64 t (/.f64 (neg.f64 z) a))

Compiler

Compiled 503 to 332 computations (34% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (.f64 x y) a) (/.f64 (.f64 z t) a))
✓	5.6b	(/.f64 (*.f64 x y) a)
✓	5.9b	(/.f64 (*.f64 z t) a)

Compiler

Compiled 37 to 10 computations (73% saved)

series11.0ms (0.1%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(/.f64 (*.f64 x y) a)
0.0ms	z	@	0	(/.f64 (*.f64 z t) a)
0.0ms	a	@	-inf	(-.f64 (/.f64 (.f64 x y) a) (/.f64 (.f64 z t) a))
0.0ms	z	@	-inf	(-.f64 (/.f64 (.f64 x y) a) (/.f64 (.f64 z t) a))
0.0ms	t	@	-inf	(-.f64 (/.f64 (.f64 x y) a) (/.f64 (.f64 z t) a))

rewrite102.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`log-prod_binary64`
458×	`fma-def_binary64`
300×	`fma-neg_binary64`
277×	`log-div_binary64`
238×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	247	27
2	4039	27

Stop Event

1×	node limit

Counts

3 → 281

Calls

Call 1

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

Outputs

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simplify174.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

547×	`fma-def_binary64`
320×	`fma-neg_binary64`
152×	`cancel-sign-sub-inv_binary64`
99×	`associate-r_binary64`
92×	`associate-/r/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	1416
1	62	1224
2	160	1224
3	406	1224
4	883	1224
5	1730	1224
6	2321	1224
7	2449	1224
8	2479	1224
9	2484	1224
10	2484	1224

Stop Event

1×

saturated

Counts

413 → 291

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 7 computations (56.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite66.0ms (0.6%)

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))))))))

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

58 → 24

Calls

Call 1

Inputs
(/.f64 (*.f64 y 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)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	5.6b	(/.f64 (*.f64 y x) a)

Compiler

Compiled 16 to 7 computations (56.3% saved)

localize37.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (/.f64 y a) x) (.f64 (/.f64 t a) z))
✓	5.9b	(*.f64 (/.f64 y a) x)
✓	8.3b	(*.f64 (/.f64 t a) z)

Compiler

Compiled 37 to 10 computations (73% saved)

series9.0ms (0.1%)

Counts

3 → 132

Calls

33 calls:

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

rewrite122.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

723×	`log-prod_binary64`
425×	`fma-def_binary64`
348×	`pow2_binary64`
246×	`pow-unpow_binary64`
242×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	252	27
2	3681	27

Stop Event

1×	node limit

Counts

3 → 255

Calls

Call 1

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

Outputs

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

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

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

simplify198.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

547×	`fma-def_binary64`
320×	`fma-neg_binary64`
152×	`cancel-sign-sub-inv_binary64`
99×	`associate-r_binary64`
92×	`associate-/r/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	1416
1	62	1224
2	160	1224
3	406	1224
4	883	1224
5	1730	1224
6	2321	1224
7	2449	1224
8	2479	1224
9	2484	1224
10	2484	1224

Stop Event

1×

saturated

Counts

387 → 262

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 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 -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 (.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 -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))

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1 (.f64 t (.f64 z (pow.f64 a -1)))) (/.f64 (.f64 y x) a))
✓	0.2b	(*.f64 z (pow.f64 a -1))
	5.6b	(/.f64 (*.f64 y x) a)
✓	6.8b	(.f64 t (.f64 z (pow.f64 a -1)))

Compiler

Compiled 58 to 30 computations (48.3% saved)

series13.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	(.f64 t (.f64 z (pow.f64 a -1)))
1.0ms	z	@	-inf	(*.f64 z (pow.f64 a -1))
0.0ms	z	@	0	(*.f64 z (pow.f64 a -1))
0.0ms	t	@	0	(.f64 t (.f64 z (pow.f64 a -1)))
0.0ms	z	@	inf	(*.f64 z (pow.f64 a -1))

rewrite140.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

807×	`log-prod_binary64`
465×	`fma-def_binary64`
265×	`pow1/3_binary64`
255×	`expm1-udef_binary64`
255×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	301	27
2	4232	25

Stop Event

1×	node limit

Counts

3 → 163

Calls

Call 1

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

Outputs

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

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

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

simplify106.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1178×	`fma-def_binary64`
293×	`fma-neg_binary64`
122×	`cancel-sign-sub-inv_binary64`
109×	`associate-/l*_binary64`
104×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	1260
1	48	1212
2	112	1068
3	222	1068
4	415	1068
5	894	1068
6	1791	1068
7	2814	1068
8	3062	1068
9	3100	1068
10	3105	1068

Stop Event

1×

saturated

Counts

283 → 172

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

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

eval272.0ms (2.3%)

Compiler: Compiled 16242 to 3801 computations (76.6% saved)

prune166.0ms (1.4%)

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	837	4	841
Fresh	4	7	11
Picked	1	0	1
Done	0	7	7
Total	842	18	860

Error

Counts

860 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.1b	(*.f64 x (/.f64 y a))
	35.5b	(.f64 (/.f64 1 a) (.f64 t (neg.f64 z)))
✓	33.8b	(*.f64 y (/.f64 x a))
	32.0b	(/.f64 x (/.f64 a y))
✓	8.5b	(-.f64 (/.f64 (.f64 x y) a) (/.f64 (.f64 z t) a))
▶	33.6b	(/.f64 y (/.f64 a x))
✓	35.6b	(*.f64 t (/.f64 (neg.f64 z) a))
	10.2b	(-.f64 (/.f64 (.f64 x y) a) (.f64 t (*.f64 z (/.f64 1 a))))
▶	33.2b	(.f64 (/.f64 1 a) (.f64 y x))
▶	9.2b	(-.f64 (*.f64 (/.f64 y a) x) (/.f64 z (/.f64 a t)))
	47.8b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 y a) x)) 2)
▶	8.3b	(-.f64 (*.f64 (/.f64 y a) x) (/.f64 t (/.f64 a z)))
▶	60.3b	(/.f64 t (/.f64 a z))
✓	9.3b	(-.f64 (.f64 (/.f64 y a) x) (.f64 (/.f64 t a) z))
	35.5b	(/.f64 (*.f64 t (neg.f64 z)) a)
✓	8.5b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
✓	33.2b	(/.f64 (*.f64 y x) a)
	34.9b	(/.f64 (fma.f64 (neg.f64 (.f64 t z)) (/.f64 a x) (.f64 a y)) (*.f64 a (/.f64 a x)))

Compiler

Compiled 389 to 262 computations (32.6% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 (/.f64 y a) x) (/.f64 t (/.f64 a z)))
	5.9b	(*.f64 (/.f64 y a) x)
✓	7.3b	(/.f64 t (/.f64 a z))

Compiler

Compiled 37 to 10 computations (73% saved)

series6.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite88.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`log-prod_binary64`
352×	`pow2_binary64`
322×	`fma-def_binary64`
245×	`pow1/3_binary64`
238×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	249	23
2	3834	23

Stop Event

1×	node limit

Counts

2 → 194

Calls

Call 1

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

Outputs

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

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

simplify104.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

547×	`fma-def_binary64`
320×	`fma-neg_binary64`
152×	`cancel-sign-sub-inv_binary64`
92×	`associate-/r/_binary64`
91×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	1164
1	62	972
2	160	972
3	406	972
4	889	972
5	1728	972
6	2321	972
7	2449	972
8	2479	972
9	2484	972
10	2484	972

Stop Event

1×

saturated

Counts

290 → 203

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 (-.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 -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))

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	7.3b	(/.f64 t (/.f64 a z))

Compiler

Compiled 16 to 7 computations (56.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.7b	(/.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	x	@	0	(/.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))

rewrite57.0ms (0.5%)

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))))))))

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

77 → 42

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)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.7b	(.f64 (/.f64 1 a) (.f64 y x))

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	@	0	(.f64 (/.f64 1 a) (.f64 y x))
0.0ms	a	@	inf	(.f64 (/.f64 1 a) (.f64 y x))
0.0ms	y	@	inf	(.f64 (/.f64 1 a) (.f64 y x))
0.0ms	y	@	-inf	(.f64 (/.f64 1 a) (.f64 y x))
0.0ms	a	@	-inf	(.f64 (/.f64 1 a) (.f64 y x))

rewrite57.0ms (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 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))))))))

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

62 → 27

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)

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 (/.f64 y a) x) (/.f64 z (/.f64 a t)))
	5.9b	(*.f64 (/.f64 y a) x)
✓	8.3b	(/.f64 z (/.f64 a t))

Compiler

Compiled 37 to 10 computations (73% saved)

series6.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

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

rewrite92.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`log-prod_binary64`
352×	`pow2_binary64`
322×	`fma-def_binary64`
245×	`pow1/3_binary64`
238×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	249	23
2	3834	23

Stop Event

1×	node limit

Counts

2 → 194

Calls

Call 1

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

simplify99.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

547×	`fma-def_binary64`
320×	`fma-neg_binary64`
152×	`cancel-sign-sub-inv_binary64`
92×	`associate-/r/_binary64`
91×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	1164
1	62	972
2	160	972
3	406	972
4	889	972
5	1728	972
6	2321	972
7	2449	972
8	2479	972
9	2484	972
10	2484	972

Stop Event

1×

saturated

Counts

290 → 203

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 (-.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 -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))

Outputs
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(*.f64 (/.f64 t a) z)
(*.f64 z (/.f64 t a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(*.f64 (/.f64 t a) z)
(*.f64 z (/.f64 t a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(*.f64 (/.f64 t a) z)
(*.f64 z (/.f64 t a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(*.f64 (/.f64 t a) z)
(*.f64 z (/.f64 t a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(*.f64 (/.f64 t a) z)
(*.f64 z (/.f64 t a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(*.f64 (/.f64 t a) z)
(*.f64 z (/.f64 t a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(*.f64 (/.f64 t a) z)
(*.f64 z (/.f64 t a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(*.f64 (/.f64 t a) z)
(*.f64 z (/.f64 t a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(*.f64 (/.f64 t a) z)
(*.f64 z (/.f64 t a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(*.f64 (/.f64 t a) z)
(*.f64 z (/.f64 t a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(*.f64 (/.f64 t a) z)
(*.f64 z (/.f64 t a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(*.f64 (/.f64 t a) z)
(*.f64 z (/.f64 t a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(*.f64 (/.f64 t a) z)
(*.f64 z (/.f64 t a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(*.f64 (/.f64 t a) z)
(*.f64 z (/.f64 t a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(*.f64 (/.f64 t a) z)
(*.f64 z (/.f64 t a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(*.f64 (/.f64 t a) z)
(*.f64 z (/.f64 t a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(*.f64 (/.f64 t a) z)
(*.f64 z (/.f64 t a))
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eval114.0ms (1%)

Compiler: Compiled 10766 to 2189 computations (79.7% saved)

prune110.0ms (0.9%)

Pruning

17 alts after pruning (6 fresh and 11 done)

	Pruned	Kept	Total
New	578	3	581
Fresh	3	3	6
Picked	0	1	1
Done	1	10	11
Total	582	17	599

Error

Counts

599 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.1b	(*.f64 x (/.f64 y a))
	35.5b	(.f64 (/.f64 1 a) (.f64 t (neg.f64 z)))
✓	8.5b	(-.f64 (/.f64 (.f64 x y) a) (/.f64 (.f64 z t) a))
✓	33.6b	(/.f64 y (/.f64 a x))
✓	35.6b	(*.f64 t (/.f64 (neg.f64 z) a))
	10.2b	(-.f64 (/.f64 (.f64 x y) a) (.f64 t (*.f64 z (/.f64 1 a))))
✓	33.2b	(.f64 (/.f64 1 a) (.f64 y x))
✓	9.2b	(-.f64 (*.f64 (/.f64 y a) x) (/.f64 z (/.f64 a t)))
	32.0b	(/.f64 x (/.f64 a y))
✓	8.3b	(-.f64 (*.f64 (/.f64 y a) x) (/.f64 t (/.f64 a z)))
✓	60.3b	(/.f64 t (/.f64 a z))
	36.4b	(*.f64 (neg.f64 z) (/.f64 t a))
	35.5b	(/.f64 (*.f64 t (neg.f64 z)) a)
✓	8.5b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
✓	33.8b	(*.f64 y (/.f64 x a))
✓	33.2b	(/.f64 (*.f64 y x) a)
	33.3b	(*.f64 (/.f64 1 a) (/.f64 y (/.f64 1 x)))

Compiler

Compiled 212 to 147 computations (30.7% saved)

regimes721.0ms (6.2%)

Counts

34 → 3

Calls

Call 1

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

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

Calls

13 calls:

80.0ms	x
78.0ms	t
70.0ms	(*.f64 x y)
67.0ms	a
65.0ms	(*.f64 x y)

Results

Error	Segments	Branch
3.0b	5	`x`
4.4b	4	`y`
5.7b	2	`z`
4.3b	4	`t`
2.4b	3	`a`
0.3b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
0.3b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
0.3b	3	`(-.f64 (.f64 x y) (.f64 z t))`
0.3b	3	`(-.f64 (.f64 x y) (.f64 z t))`
1.8b	5	`(*.f64 x y)`
1.8b	5	`(*.f64 x y)`
3.8b	3	`(*.f64 z t)`
3.8b	3	`(*.f64 z t)`

Compiler

Compiled 441 to 187 computations (57.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.1265944910007578e+184	2.190432381156404e+186
0.0ms	-inf	-1.106547853822235e+306

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes588.0ms (5%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

12 calls:

135.0ms	y
67.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
66.0ms	x
50.0ms	t
45.0ms	(*.f64 x y)

Results

Error	Segments	Branch
4.0b	3	`x`
4.7b	4	`y`
5.8b	2	`z`
4.6b	4	`t`
2.4b	3	`a`
0.3b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
0.3b	3	`(-.f64 (.f64 x y) (.f64 z t))`
0.3b	3	`(-.f64 (.f64 x y) (.f64 z t))`
1.8b	5	`(*.f64 x y)`
1.8b	5	`(*.f64 x y)`
3.8b	3	`(*.f64 z t)`
3.8b	3	`(*.f64 z t)`

Compiler

Compiled 262 to 130 computations (50.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.1265944910007578e+184	2.190432381156404e+186
0.0ms	-inf	-1.106547853822235e+306

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes448.0ms (3.8%)

Counts

18 → 3

Calls

Call 1

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

Calls

12 calls:

73.0ms	(*.f64 x y)
63.0ms	(*.f64 z t)
45.0ms	t
40.0ms	y
37.0ms	a

Results

Error	Segments	Branch
4.0b	3	`x`
4.7b	4	`y`
5.9b	2	`z`
4.6b	4	`t`
2.4b	3	`a`
0.3b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
0.3b	3	`(-.f64 (.f64 x y) (.f64 z t))`
0.3b	3	`(-.f64 (.f64 x y) (.f64 z t))`
2.8b	3	`(*.f64 x y)`
2.8b	3	`(*.f64 x y)`
3.8b	3	`(*.f64 z t)`
3.8b	3	`(*.f64 z t)`

Compiler

Compiled 229 to 122 computations (46.7% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.1265944910007578e+184	2.190432381156404e+186
0.0ms	-inf	-1.106547853822235e+306

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes297.0ms (2.5%)

Counts

16 → 3

Calls

Call 1

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

Calls

11 calls:

34.0ms	a
34.0ms	t
34.0ms	y
28.0ms	(-.f64 (.f64 x y) (.f64 z t))
25.0ms	(*.f64 z t)

Results

Error	Segments	Branch
4.0b	3	`x`
4.7b	4	`y`
5.9b	2	`z`
5.7b	4	`t`
2.6b	3	`a`
0.3b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
0.3b	3	`(-.f64 (.f64 x y) (.f64 z t))`
2.8b	3	`(*.f64 x y)`
2.8b	3	`(*.f64 x y)`
3.8b	3	`(*.f64 z t)`
3.8b	3	`(*.f64 z t)`

Compiler

Compiled 195 to 110 computations (43.6% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.1265944910007578e+184	2.190432381156404e+186
0.0ms	-inf	-1.106547853822235e+306

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes217.0ms (1.9%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

11 calls:

27.0ms	x
21.0ms	(*.f64 x y)
21.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
20.0ms	(*.f64 x y)
20.0ms	(-.f64 (.f64 x y) (.f64 z t))

Results

Error	Segments	Branch
5.9b	3	`x`
6.5b	2	`y`
8.5b	1	`z`
7.5b	2	`t`
8.5b	1	`a`
3.7b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
3.7b	3	`(-.f64 (.f64 x y) (.f64 z t))`
3.8b	3	`(*.f64 x y)`
3.8b	3	`(*.f64 x y)`
5.0b	3	`(*.f64 z t)`
5.0b	3	`(*.f64 z t)`

Compiler

Compiled 184 to 106 computations (42.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2057872876342367e+305	+inf
0.0ms	-inf	-1.106547853822235e+306

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes367.0ms (3.1%)

Counts

14 → 5

Calls

Call 1

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

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

Calls

5 calls:

124.0ms	a
84.0ms	x
66.0ms	y
48.0ms	z
41.0ms	t

Results

Error	Segments	Branch
20.4b	5	`x`
19.4b	6	`y`
22.2b	5	`z`
19.3b	5	`t`
22.1b	11	`a`

Compiler

Compiled 117 to 61 computations (47.9% saved)

bsearch216.0ms (1.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
21.0ms	5.359833255049322e+292	2.814869430126409e+294
35.0ms	3.608924746693242e+261	2.6873192573713895e+263
139.0ms	5.286355181936165e+67	7.913525486852836e+69
19.0ms	-7.798837149938507e-100	-2.0266407379055405e-101

Compiler

Compiled 505 to 373 computations (26.1% saved)

regimes183.0ms (1.6%)

Counts

10 → 6

Calls

Call 1

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

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

Calls

5 calls:

62.0ms	a
37.0ms	z
33.0ms	y
32.0ms	t
17.0ms	x

Results

Error	Segments	Branch
21.6b	3	`x`
19.4b	6	`y`
22.5b	5	`z`
19.8b	5	`t`
22.3b	11	`a`

Compiler

Compiled 87 to 47 computations (46% saved)

bsearch453.0ms (3.9%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
7.0ms	3.350312738892485e+220	2.6847786133725055e+229
260.0ms	1.3356466038399884e+95	1.1001822718316238e+98
149.0ms	1.486386320118002e+79	9.234215324701709e+83
18.0ms	3.5551207798200666e+58	3.7122189989299666e+58
19.0ms	-3.9400926017181465e-219	-1.216897450470885e-220

Compiler

Compiled 435 to 321 computations (26.2% saved)

regimes197.0ms (1.7%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

5 calls:

53.0ms	a
47.0ms	x
37.0ms	z
36.0ms	y
22.0ms	t

Results

Error	Segments	Branch
22.5b	3	`x`
22.7b	3	`y`
23.0b	5	`z`
21.2b	3	`t`
24.6b	9	`a`

Compiler

Compiled 81 to 45 computations (44.4% saved)

bsearch291.0ms (2.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
252.0ms	5.286355181936165e+67	7.913525486852836e+69
39.0ms	-7.798837149938507e-100	-2.0266407379055405e-101

Compiler

Compiled 183 to 135 computations (26.2% saved)

regimes221.0ms (1.9%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

5 calls:

63.0ms	a
53.0ms	y
53.0ms	x
33.0ms	z
13.0ms	t

Results

Error	Segments	Branch
29.2b	3	`x`
29.4b	5	`y`
30.8b	3	`z`
32.0b	1	`t`
29.2b	3	`a`

Compiler

Compiled 75 to 42 computations (44% saved)

bsearch107.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
73.0ms	1.5515254200919712e-82	1.772058217613404e-67
34.0ms	-2.403447983811911e+179	-8.472749449157537e+176

Compiler

Compiled 242 to 176 computations (27.3% saved)

regimes54.0ms (0.5%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

5 calls:

23.0ms	a
13.0ms	y
8.0ms	z
5.0ms	x
4.0ms	t

Results

Error	Segments	Branch
32.0b	1	`x`
30.6b	3	`y`
32.0b	1	`z`
32.0b	1	`t`
30.7b	3	`a`

Compiler

Compiled 60 to 38 computations (36.7% saved)

bsearch13.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
6.0ms	2.4041597204625082e+288	1.1025256212069894e+290
7.0ms	8.559079918640975e+196	8.085581792593585e+215

Compiler

Compiled 66 to 48 computations (27.3% saved)

regimes21.0ms (0.2%)

Accuracy

Total -0.2b remaining (-0.5%)

Threshold costs -0.2b (-0.5%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	z
4.0ms	t
4.0ms	y
4.0ms	a
4.0ms	x

Results

Error	Segments	Branch
32.0b	1	`x`
32.0b	1	`y`
32.0b	1	`z`
32.0b	1	`t`
32.0b	1	`a`

Compiler

Compiled 50 to 34 computations (32% saved)

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative_binary64`
15×	`+-commutative_binary64`
15×	`sub-neg_binary64`
11×	`neg-sub0_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	616
1	124	616
2	158	616
3	184	616
4	196	616
5	199	616

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -inf.0) (-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152) (-.f64 (/.f64 (.f64 x y) a) (/.f64 (.f64 z t) a)) (-.f64 (*.f64 (/.f64 y a) x) (/.f64 t (/.f64 a z)))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -inf.0) (-.f64 (.f64 (/.f64 y a) x) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152) (-.f64 (/.f64 (.f64 x y) a) (/.f64 (.f64 z t) a)) (-.f64 (.f64 (/.f64 y a) x) (/.f64 t (/.f64 a z)))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -inf.0) (-.f64 (.f64 (/.f64 y a) x) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (-.f64 (.f64 (/.f64 y a) x) (/.f64 t (/.f64 a z)))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -inf.0) (-.f64 (.f64 (/.f64 y a) x) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152) (/.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)) -inf.0) (.f64 t (/.f64 (neg.f64 z) a)) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (.f64 y (/.f64 x a))))
(if (<=.f64 t -30728982970654852/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (.f64 (neg.f64 z) (/.f64 t a)) (if (<=.f64 t 7600000000000000551238916499622186958803645513313566861938397181640704) (/.f64 x (/.f64 a y)) (if (<=.f64 t 3699999999999999954960706861964067739492518965357008962097032184243117952676327703712633672140379342451445600306416984108426794856674576429445495731893879228634412627536116264150808204575099641037586367277620051528345441647525332654833644676097767591874844950528) (/.f64 (.f64 t (neg.f64 z)) a) (if (<=.f64 t 2799999999999999788945756245910893581692570150821858705673098335771729751825050164190055143851515340709211166472551278153622347708587008428368546124985665393260591061693089152383859241214841791406563630686859188304010629370334366059760651314146427561641581623861816563564866572417134937403031552) (/.f64 y (/.f64 a x)) (*.f64 t (/.f64 (neg.f64 z) a))))))
(if (<=.f64 y -195746081584243/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392) (.f64 x (/.f64 y a)) (if (<=.f64 y 37000000000000001963052180139005878421798408303014351732736) (/.f64 (.f64 t (neg.f64 z)) a) (if (<=.f64 y 14999999999999998687587833849290257756635014131299717378531104111159573158559744) (/.f64 y (/.f64 a x)) (if (<=.f64 y 110000000000000004299070943119860390733762646909266660255753579391159348136877979451260044176261120) (.f64 (neg.f64 z) (/.f64 t a)) (if (<=.f64 y 999999999999999928454223448636526995609414612446486912536395043045051171498417578302416590307106934377352009423588636134254484622941461177838218040629861358615028052178586193608330530158506646130887048916655460323666687950848) (/.f64 x (/.f64 a y)) (/.f64 (.f64 y x) a))))))
(if (<=.f64 t -30728982970654852/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (.f64 (neg.f64 z) (/.f64 t a)) (if (<=.f64 t 7600000000000000551238916499622186958803645513313566861938397181640704) (/.f64 x (/.f64 a y)) (.f64 (neg.f64 z) (/.f64 t a))))
(if (<=.f64 a -240344798381191094365907491074040810581641763027455409965818374187755288909619439092995011543408088154899999559685535145078340085523875560005741111084515499883297377447332517249024) (/.f64 x (/.f64 a y)) (if (<=.f64 a 2734063405978765/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (/.f64 (*.f64 y x) a) (/.f64 x (/.f64 a y))))
(if (<=.f64 y 99999999999999996973312221251036165947450327545502362648241750950346848435554075534196338404706251868027512415973882408182135734368278484639385041047239877871023591066789981811181813306167128854888448) (*.f64 x (/.f64 y a)) (if (<=.f64 y 100000000000000006172783352786715688699437231096301125831005285053881337653967155894253917094446479669431045845149126131034590785433956171738211535366987228554259102109161882186134743033813753627273385960246277244994846257890348030815401124236704201912132575831851305036088950921132601507840) (/.f64 y (/.f64 a x)) (/.f64 x (/.f64 a y))))
(/.f64 x (/.f64 a y))

Outputs
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -inf.0) (-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152) (-.f64 (/.f64 (.f64 x y) a) (/.f64 (.f64 z t) a)) (-.f64 (*.f64 (/.f64 y a) x) (/.f64 t (/.f64 a z)))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -inf.0) (-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152) (-.f64 (/.f64 (.f64 x y) a) (/.f64 (.f64 z t) a)) (-.f64 (*.f64 x (/.f64 y a)) (/.f64 t (/.f64 a z)))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -inf.0) (-.f64 (.f64 (/.f64 y a) x) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152) (-.f64 (/.f64 (.f64 x y) a) (/.f64 (.f64 z t) a)) (-.f64 (.f64 (/.f64 y a) x) (/.f64 t (/.f64 a z)))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -inf.0) (-.f64 (.f64 x (/.f64 y a)) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152) (-.f64 (/.f64 (.f64 x y) a) (/.f64 (.f64 z t) a)) (-.f64 (.f64 x (/.f64 y a)) (/.f64 t (/.f64 a z)))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -inf.0) (-.f64 (.f64 (/.f64 y a) x) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (-.f64 (.f64 (/.f64 y a) x) (/.f64 t (/.f64 a z)))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -inf.0) (-.f64 (.f64 x (/.f64 y a)) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (-.f64 (.f64 x (/.f64 y a)) (/.f64 t (/.f64 a z)))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -inf.0) (-.f64 (.f64 (/.f64 y a) x) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152) (/.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)) -inf.0) (-.f64 (.f64 x (/.f64 y a)) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (-.f64 (.f64 x (/.f64 y a)) (/.f64 z (/.f64 a t)))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -inf.0) (.f64 t (/.f64 (neg.f64 z) a)) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (.f64 y (/.f64 x a))))
(if (<=.f64 t -30728982970654852/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (.f64 (neg.f64 z) (/.f64 t a)) (if (<=.f64 t 7600000000000000551238916499622186958803645513313566861938397181640704) (/.f64 x (/.f64 a y)) (if (<=.f64 t 3699999999999999954960706861964067739492518965357008962097032184243117952676327703712633672140379342451445600306416984108426794856674576429445495731893879228634412627536116264150808204575099641037586367277620051528345441647525332654833644676097767591874844950528) (/.f64 (.f64 t (neg.f64 z)) a) (if (<=.f64 t 2799999999999999788945756245910893581692570150821858705673098335771729751825050164190055143851515340709211166472551278153622347708587008428368546124985665393260591061693089152383859241214841791406563630686859188304010629370334366059760651314146427561641581623861816563564866572417134937403031552) (/.f64 y (/.f64 a x)) (*.f64 t (/.f64 (neg.f64 z) a))))))
(if (<=.f64 t -7682245742663713/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704) (.f64 (neg.f64 z) (/.f64 t a)) (if (<=.f64 t 7600000000000000551238916499622186958803645513313566861938397181640704) (/.f64 x (/.f64 a y)) (if (<=.f64 t 3699999999999999954960706861964067739492518965357008962097032184243117952676327703712633672140379342451445600306416984108426794856674576429445495731893879228634412627536116264150808204575099641037586367277620051528345441647525332654833644676097767591874844950528) (/.f64 (.f64 t (neg.f64 z)) a) (if (<=.f64 t 2799999999999999788945756245910893581692570150821858705673098335771729751825050164190055143851515340709211166472551278153622347708587008428368546124985665393260591061693089152383859241214841791406563630686859188304010629370334366059760651314146427561641581623861816563564866572417134937403031552) (/.f64 y (/.f64 a x)) (*.f64 t (/.f64 (neg.f64 z) a))))))
(if (<=.f64 t -7682245742663713/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704) (.f64 z (neg.f64 (/.f64 t a))) (if (<=.f64 t 7600000000000000551238916499622186958803645513313566861938397181640704) (/.f64 x (/.f64 a y)) (if (<=.f64 t 3699999999999999954960706861964067739492518965357008962097032184243117952676327703712633672140379342451445600306416984108426794856674576429445495731893879228634412627536116264150808204575099641037586367277620051528345441647525332654833644676097767591874844950528) (/.f64 (.f64 z (neg.f64 t)) a) (if (<=.f64 t 2799999999999999788945756245910893581692570150821858705673098335771729751825050164190055143851515340709211166472551278153622347708587008428368546124985665393260591061693089152383859241214841791406563630686859188304010629370334366059760651314146427561641581623861816563564866572417134937403031552) (/.f64 y (/.f64 a x)) (*.f64 t (/.f64 (neg.f64 z) a))))))
(if (<=.f64 t -7682245742663713/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704) (.f64 z (/.f64 (neg.f64 t) a)) (if (<=.f64 t 7600000000000000551238916499622186958803645513313566861938397181640704) (/.f64 x (/.f64 a y)) (if (<=.f64 t 3699999999999999954960706861964067739492518965357008962097032184243117952676327703712633672140379342451445600306416984108426794856674576429445495731893879228634412627536116264150808204575099641037586367277620051528345441647525332654833644676097767591874844950528) (/.f64 (.f64 z (neg.f64 t)) a) (if (<=.f64 t 2799999999999999788945756245910893581692570150821858705673098335771729751825050164190055143851515340709211166472551278153622347708587008428368546124985665393260591061693089152383859241214841791406563630686859188304010629370334366059760651314146427561641581623861816563564866572417134937403031552) (/.f64 y (/.f64 a x)) (*.f64 t (/.f64 (neg.f64 z) a))))))
(if (<=.f64 y -195746081584243/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392) (.f64 x (/.f64 y a)) (if (<=.f64 y 37000000000000001963052180139005878421798408303014351732736) (/.f64 (.f64 t (neg.f64 z)) a) (if (<=.f64 y 14999999999999998687587833849290257756635014131299717378531104111159573158559744) (/.f64 y (/.f64 a x)) (if (<=.f64 y 110000000000000004299070943119860390733762646909266660255753579391159348136877979451260044176261120) (.f64 (neg.f64 z) (/.f64 t a)) (if (<=.f64 y 999999999999999928454223448636526995609414612446486912536395043045051171498417578302416590307106934377352009423588636134254484622941461177838218040629861358615028052178586193608330530158506646130887048916655460323666687950848) (/.f64 x (/.f64 a y)) (/.f64 (.f64 y x) a))))))
(if (<=.f64 y -195746081584243/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392) (.f64 x (/.f64 y a)) (if (<=.f64 y 37000000000000001963052180139005878421798408303014351732736) (/.f64 (.f64 t (neg.f64 z)) a) (if (<=.f64 y 14999999999999998687587833849290257756635014131299717378531104111159573158559744) (/.f64 y (/.f64 a x)) (if (<=.f64 y 110000000000000004299070943119860390733762646909266660255753579391159348136877979451260044176261120) (.f64 (neg.f64 z) (/.f64 t a)) (if (<=.f64 y 999999999999999928454223448636526995609414612446486912536395043045051171498417578302416590307106934377352009423588636134254484622941461177838218040629861358615028052178586193608330530158506646130887048916655460323666687950848) (/.f64 x (/.f64 a y)) (/.f64 (.f64 x y) a))))))
(if (<=.f64 y -195746081584243/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392) (.f64 x (/.f64 y a)) (if (<=.f64 y 37000000000000001963052180139005878421798408303014351732736) (/.f64 (.f64 z (neg.f64 t)) a) (if (<=.f64 y 14999999999999998687587833849290257756635014131299717378531104111159573158559744) (/.f64 y (/.f64 a x)) (if (<=.f64 y 110000000000000004299070943119860390733762646909266660255753579391159348136877979451260044176261120) (.f64 z (neg.f64 (/.f64 t a))) (if (<=.f64 y 999999999999999928454223448636526995609414612446486912536395043045051171498417578302416590307106934377352009423588636134254484622941461177838218040629861358615028052178586193608330530158506646130887048916655460323666687950848) (/.f64 x (/.f64 a y)) (/.f64 (.f64 x y) a))))))
(if (<=.f64 y -195746081584243/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392) (.f64 x (/.f64 y a)) (if (<=.f64 y 37000000000000001963052180139005878421798408303014351732736) (/.f64 (.f64 z (neg.f64 t)) a) (if (<=.f64 y 14999999999999998687587833849290257756635014131299717378531104111159573158559744) (/.f64 y (/.f64 a x)) (if (<=.f64 y 110000000000000004299070943119860390733762646909266660255753579391159348136877979451260044176261120) (.f64 z (/.f64 (neg.f64 t) a)) (if (<=.f64 y 999999999999999928454223448636526995609414612446486912536395043045051171498417578302416590307106934377352009423588636134254484622941461177838218040629861358615028052178586193608330530158506646130887048916655460323666687950848) (/.f64 x (/.f64 a y)) (/.f64 (.f64 x y) a))))))
(if (<=.f64 t -30728982970654852/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (.f64 (neg.f64 z) (/.f64 t a)) (if (<=.f64 t 7600000000000000551238916499622186958803645513313566861938397181640704) (/.f64 x (/.f64 a y)) (.f64 (neg.f64 z) (/.f64 t a))))
(if (<=.f64 t -7682245742663713/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704) (.f64 (neg.f64 z) (/.f64 t a)) (if (<=.f64 t 7600000000000000551238916499622186958803645513313566861938397181640704) (/.f64 x (/.f64 a y)) (.f64 (neg.f64 z) (/.f64 t a))))
(if (<=.f64 t -7682245742663713/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704) (.f64 z (neg.f64 (/.f64 t a))) (if (<=.f64 t 7600000000000000551238916499622186958803645513313566861938397181640704) (/.f64 x (/.f64 a y)) (.f64 z (neg.f64 (/.f64 t a)))))
(if (<=.f64 t -7682245742663713/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704) (.f64 z (/.f64 (neg.f64 t) a)) (if (<=.f64 t 7600000000000000551238916499622186958803645513313566861938397181640704) (/.f64 x (/.f64 a y)) (.f64 z (/.f64 (neg.f64 t) a))))
(if (<=.f64 a -240344798381191094365907491074040810581641763027455409965818374187755288909619439092995011543408088154899999559685535145078340085523875560005741111084515499883297377447332517249024) (/.f64 x (/.f64 a y)) (if (<=.f64 a 2734063405978765/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (/.f64 (*.f64 y x) a) (/.f64 x (/.f64 a y))))
(if (<=.f64 a -240344798381191094365907491074040810581641763027455409965818374187755288909619439092995011543408088154899999559685535145078340085523875560005741111084515499883297377447332517249024) (/.f64 x (/.f64 a y)) (if (<=.f64 a 2734063405978765/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (/.f64 (*.f64 x y) a) (/.f64 x (/.f64 a y))))
(if (<=.f64 y 99999999999999996973312221251036165947450327545502362648241750950346848435554075534196338404706251868027512415973882408182135734368278484639385041047239877871023591066789981811181813306167128854888448) (*.f64 x (/.f64 y a)) (if (<=.f64 y 100000000000000006172783352786715688699437231096301125831005285053881337653967155894253917094446479669431045845149126131034590785433956171738211535366987228554259102109161882186134743033813753627273385960246277244994846257890348030815401124236704201912132575831851305036088950921132601507840) (/.f64 y (/.f64 a x)) (/.f64 x (/.f64 a y))))
(/.f64 x (/.f64 a y))

Compiler

Compiled 475 to 232 computations (51.2% saved)

soundness0.0ms (0%)

end161.0ms (1.4%)

Remove: (sort x y)
Compiler: Compiled 773 to 272 computations (64.8% saved)

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

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

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