Details

analyze427.0ms (2.8%)

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)

sample1.9s (12.6%)

Results

1.3s	8256×	body	256	valid
558.0ms	3241×	body	256	invalid

preprocess94.0ms (0.6%)

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)

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

6.9b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.9b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x y) (.f64 z t))
✓	6.6b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

Compiler

Compiled 32 to 9 computations (71.9% saved)

series24.0ms (0.2%)

Counts

2 → 108

Calls

27 calls:

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

rewrite183.0ms (1.2%)

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)))))))))

simplify148.0ms (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))

eval110.0ms (0.7%)

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

prune289.0ms (1.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	237	9	246
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	237	10	247

Error

Counts

247 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	30.7b	(/.f64 (*.f64 y x) a)
	7.7b	(fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
▶	7.0b	(pow.f64 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))) -1)
	9.2b	(-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t)))
▶	31.6b	(*.f64 y (/.f64 x a))
▶	34.2b	(*.f64 t (/.f64 (neg.f64 z) a))
▶	7.1b	(.f64 (/.f64 1 a) (-.f64 (.f64 x y) (*.f64 z t)))
▶	7.0b	(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
✓	6.9b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
	34.9b	(/.f64 (*.f64 t (neg.f64 z)) a)

Compiler

Compiled 264 to 179 computations (32.2% saved)

localize15.0ms (0.1%)

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))
✓	4.5b	(/.f64 (*.f64 y x) a)
✓	4.5b	(/.f64 (*.f64 t z) a)

Compiler

Compiled 47 to 15 computations (68.1% saved)

series20.0ms (0.1%)

Counts

3 → 24

Calls

33 calls:

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

rewrite101.0ms (0.7%)

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))))))

simplify74.0ms (0.5%)

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))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 7 computations (56.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite58.0ms (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))))))))

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

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

Compiler

Compiled 20 to 8 computations (60% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	t	@	-inf	(*.f64 t (/.f64 (neg.f64 z) a))
0.0ms	t	@	0	(*.f64 t (/.f64 (neg.f64 z) a))
0.0ms	z	@	0	(*.f64 t (/.f64 (neg.f64 z) a))
0.0ms	z	@	inf	(*.f64 t (/.f64 (neg.f64 z) a))
0.0ms	z	@	-inf	(*.f64 t (/.f64 (neg.f64 z) a))

rewrite52.0ms (0.3%)

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))))))))

simplify29.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

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

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (.f64 x y) (.f64 z t))
✓	6.7b	(.f64 (/.f64 1 a) (-.f64 (.f64 x y) (*.f64 z t)))

Compiler

Compiled 38 to 14 computations (63.2% saved)

series5.0ms (0%)

Counts

1 → 60

Calls

15 calls:

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

rewrite72.0ms (0.5%)

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

simplify115.0ms (0.8%)

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)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (.f64 x y) (.f64 z t))
✓	0.2b	(pow.f64 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))) -1)
✓	6.5b	(/.f64 a (-.f64 (.f64 x y) (.f64 z t)))

Compiler

Compiled 44 to 12 computations (72.7% saved)

series91.0ms (0.6%)

Counts

2 → 120

Calls

30 calls:

Time	Variable		Point	Expression
62.0ms	z	@	-inf	(/.f64 a (-.f64 (.f64 x y) (.f64 z t)))
4.0ms	x	@	-inf	(/.f64 a (-.f64 (.f64 x y) (.f64 z t)))
2.0ms	z	@	inf	(pow.f64 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))) -1)
1.0ms	x	@	inf	(pow.f64 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))) -1)
1.0ms	x	@	0	(/.f64 a (-.f64 (.f64 x y) (.f64 z t)))

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`log-prod_binary64`
405×	`fma-def_binary64`
349×	`pow2_binary64`
240×	`pow1/3_binary64`
237×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	266	26
2	3593	26

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

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

Outputs

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

simplify153.0ms (1%)

Algorithm

1×	egg-herbie

Rules

485×	`distribute-neg-frac_binary64`
421×	`times-frac_binary64`
373×	`unsub-neg_binary64`
329×	`fma-def_binary64`
317×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	293	3757
1	1212	3395
2	5951	3300

Stop Event

1×	node limit

Counts

211 → 145

Calls

Call 1

Inputs
(/.f64 a (-.f64 (.f64 y x) (.f64 t z)))
(/.f64 a (-.f64 (.f64 y x) (.f64 t z)))
(/.f64 a (-.f64 (.f64 y x) (.f64 t z)))
(/.f64 a (-.f64 (.f64 y x) (.f64 t z)))
(/.f64 a (-.f64 (.f64 y x) (.f64 t z)))
(/.f64 a (-.f64 (.f64 y x) (.f64 t z)))
(/.f64 a (-.f64 (.f64 y x) (.f64 t z)))
(/.f64 a (-.f64 (.f64 y x) (.f64 t z)))
(/.f64 a (-.f64 (.f64 y x) (.f64 t z)))
(/.f64 a (-.f64 (.f64 y x) (.f64 t z)))
(/.f64 a (-.f64 (.f64 y x) (.f64 t z)))
(/.f64 a (-.f64 (.f64 y x) (.f64 t z)))
(.f64 -1 (/.f64 a (.f64 t z)))
(+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 a x)) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (.f64 -1 (/.f64 a (.f64 t z))))
(+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 a x)) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (.f64 a (pow.f64 x 2))) (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (.f64 -1 (/.f64 a (.f64 t z)))))
(+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 a x)) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (.f64 a (pow.f64 x 2))) (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 3) (.f64 a (pow.f64 x 3))) (.f64 (pow.f64 t 4) (pow.f64 z 4)))) (.f64 -1 (/.f64 a (.f64 t z))))))
(/.f64 a (*.f64 y x))
(+.f64 (/.f64 a (.f64 y x)) (/.f64 (.f64 a (.f64 t z)) (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 (.f64 a (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (/.f64 a (.f64 y x)) (/.f64 (.f64 a (.f64 t z)) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (.f64 a (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (/.f64 a (.f64 y x)) (+.f64 (/.f64 (.f64 a (.f64 t z)) (.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (.f64 a (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(/.f64 a (*.f64 y x))
(+.f64 (/.f64 a (.f64 y x)) (/.f64 (.f64 a (.f64 t z)) (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 (.f64 a (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (/.f64 a (.f64 y x)) (/.f64 (.f64 a (.f64 t z)) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (.f64 a (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (/.f64 a (.f64 y x)) (+.f64 (/.f64 (.f64 a (.f64 t z)) (.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (.f64 a (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(.f64 -1 (/.f64 a (.f64 t z)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (.f64 y x)) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (.f64 -1 (/.f64 a (.f64 t z))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 a (.f64 y x)) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (.f64 -1 (/.f64 a (.f64 t z)))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 a (.f64 y x)) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 a (.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 (pow.f64 t 4) (pow.f64 z 4)))) (.f64 -1 (/.f64 a (.f64 t z))))))
(/.f64 a (*.f64 y x))
(+.f64 (/.f64 a (.f64 y x)) (/.f64 (.f64 a (.f64 t z)) (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 (.f64 a (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (/.f64 a (.f64 y x)) (/.f64 (.f64 a (.f64 t z)) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (.f64 a (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (/.f64 a (.f64 y x)) (+.f64 (/.f64 (.f64 a (.f64 t z)) (.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (.f64 a (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(/.f64 a (*.f64 y x))
(+.f64 (/.f64 a (.f64 y x)) (/.f64 (.f64 a (.f64 t z)) (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 (.f64 a (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (/.f64 a (.f64 y x)) (/.f64 (.f64 a (.f64 t z)) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (.f64 a (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (/.f64 a (.f64 y x)) (+.f64 (/.f64 (.f64 a (.f64 t z)) (.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (.f64 a (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(/.f64 a (*.f64 y x))
(+.f64 (/.f64 a (.f64 y x)) (/.f64 (.f64 a (.f64 t z)) (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 (.f64 a (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (/.f64 a (.f64 y x)) (/.f64 (.f64 a (.f64 t z)) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (.f64 a (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (/.f64 a (.f64 y x)) (+.f64 (/.f64 (.f64 a (.f64 t z)) (.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (.f64 a (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(.f64 -1 (/.f64 a (.f64 t z)))
(+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 a x)) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (.f64 -1 (/.f64 a (.f64 t z))))
(+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 a x)) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (.f64 a (pow.f64 x 2))) (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (.f64 -1 (/.f64 a (.f64 t z)))))
(+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 a x)) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (.f64 a (pow.f64 x 2))) (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 3) (.f64 a (pow.f64 x 3))) (.f64 (pow.f64 t 4) (pow.f64 z 4)))) (.f64 -1 (/.f64 a (.f64 t z))))))
(.f64 -1 (/.f64 a (.f64 t z)))
(+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 a x)) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (.f64 -1 (/.f64 a (.f64 t z))))
(+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 a x)) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (.f64 a (pow.f64 x 2))) (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (.f64 -1 (/.f64 a (.f64 t z)))))
(+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 a x)) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (.f64 a (pow.f64 x 2))) (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 3) (.f64 a (pow.f64 x 3))) (.f64 (pow.f64 t 4) (pow.f64 z 4)))) (.f64 -1 (/.f64 a (.f64 t z))))))
(/.f64 a (*.f64 y x))
(+.f64 (/.f64 a (.f64 y x)) (/.f64 (.f64 a (.f64 t z)) (.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (/.f64 (.f64 a (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (/.f64 a (.f64 y x)) (/.f64 (.f64 a (.f64 t z)) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (.f64 a (.f64 (pow.f64 t 2) (pow.f64 z 2))) (.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (/.f64 a (.f64 y x)) (+.f64 (/.f64 (.f64 a (.f64 t z)) (.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 (.f64 a (.f64 (pow.f64 t 3) (pow.f64 z 3))) (.f64 (pow.f64 y 4) (pow.f64 x 4))))))
(.f64 -1 (/.f64 a (.f64 t z)))
(+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 a x)) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (.f64 -1 (/.f64 a (.f64 t z))))
(+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 a x)) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (.f64 a (pow.f64 x 2))) (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (.f64 -1 (/.f64 a (.f64 t z)))))
(+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 a x)) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (.f64 a (pow.f64 x 2))) (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 3) (.f64 a (pow.f64 x 3))) (.f64 (pow.f64 t 4) (pow.f64 z 4)))) (.f64 -1 (/.f64 a (.f64 t z))))))
(.f64 -1 (/.f64 a (.f64 t z)))
(+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 a x)) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (.f64 -1 (/.f64 a (.f64 t z))))
(+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 a x)) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (.f64 a (pow.f64 x 2))) (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (.f64 -1 (/.f64 a (.f64 t z)))))
(+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 a x)) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (.f64 a (pow.f64 x 2))) (.f64 (pow.f64 t 3) (pow.f64 z 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 3) (.f64 a (pow.f64 x 3))) (.f64 (pow.f64 t 4) (pow.f64 z 4)))) (.f64 -1 (/.f64 a (.f64 t z))))))
(/.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 (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 a (.f64 t z)))) (/.f64 (pow.f64 y 2) (.f64 a (.f64 t z)))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 a (.f64 t z)))) (/.f64 (pow.f64 y 2) (.f64 a (.f64 t z)))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (pow.f64 y 3) (.f64 a (.f64 (pow.f64 t 2) (pow.f64 z 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (.f64 a (.f64 t z)))) (/.f64 (pow.f64 y 2) (.f64 a (.f64 t z)))) y) (.f64 t z))) (.f64 -1 (/.f64 (pow.f64 y 3) (.f64 a (.f64 (pow.f64 t 2) (pow.f64 z 2))))))) (pow.f64 x 3))) (/.f64 (*.f64 y x) a))))
(/.f64 (*.f64 y x) a)
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(/.f64 (*.f64 y x) a)
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(.f64 -1 (/.f64 (.f64 t z) a))
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(/.f64 (*.f64 y x) a)
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(/.f64 (*.f64 y x) a)
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(/.f64 (*.f64 y x) a)
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(/.f64 (*.f64 y x) a)
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Outputs
(/.f64 a (-.f64 (.f64 y x) (.f64 t z)))
(/.f64 a (-.f64 (.f64 y x) (.f64 t z)))
(/.f64 a (-.f64 (.f64 y x) (.f64 t z)))
(/.f64 a (-.f64 (.f64 y x) (.f64 t z)))
(/.f64 a (-.f64 (.f64 y x) (.f64 t z)))
(/.f64 a (-.f64 (.f64 y x) (.f64 t z)))
(/.f64 a (-.f64 (.f64 y x) (.f64 t z)))
(/.f64 a (-.f64 (.f64 y x) (.f64 t z)))
(/.f64 a (-.f64 (.f64 y x) (.f64 t z)))
(/.f64 a (-.f64 (.f64 y x) (.f64 t z)))
(/.f64 a (-.f64 (.f64 y x) (.f64 t z)))
(/.f64 a (-.f64 (.f64 y x) (.f64 t z)))
(.f64 -1 (/.f64 a (.f64 t z)))
(neg.f64 (/.f64 (/.f64 a t) z))
(/.f64 (neg.f64 a) (*.f64 t z))
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(.f64 -1 (+.f64 (.f64 (/.f64 y (.f64 t t)) (/.f64 (.f64 a x) (*.f64 z z))) (/.f64 (/.f64 a t) z)))
(neg.f64 (fma.f64 (/.f64 a (.f64 t t)) (.f64 (/.f64 x z) (/.f64 y z)) (/.f64 (/.f64 a t) z)))
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(/.f64 a (*.f64 y x))
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(/.f64 a (*.f64 y x))
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(.f64 -1 (/.f64 a (.f64 t z)))
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(.f64 -1 (+.f64 (.f64 (/.f64 y (.f64 t t)) (/.f64 (.f64 a x) (*.f64 z z))) (/.f64 (/.f64 a t) z)))
(neg.f64 (fma.f64 (/.f64 a (.f64 t t)) (.f64 (/.f64 x z) (/.f64 y z)) (/.f64 (/.f64 a t) z)))
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(fma.f64 -1 (/.f64 t (/.f64 a z)) (fma.f64 -1 (.f64 (.f64 z z) (.f64 0 (/.f64 (/.f64 (.f64 t t) a) (.f64 y x)))) (fma.f64 -1 (.f64 (pow.f64 z 3) (+.f64 (/.f64 (pow.f64 t 3) (.f64 a (.f64 (.f64 y y) (.f64 x x)))) (fma.f64 -1 (.f64 (/.f64 t y) (/.f64 (.f64 0 (/.f64 (/.f64 (.f64 t t) a) (.f64 y x))) x)) (neg.f64 (/.f64 (pow.f64 t 3) (.f64 a (.f64 (.f64 y y) (.f64 x x)))))))) (/.f64 y (/.f64 a x)))))
(+.f64 (-.f64 (.f64 z (.f64 z 0)) (.f64 (pow.f64 z 3) (-.f64 (fma.f64 (/.f64 t y) (/.f64 0 x) (/.f64 (pow.f64 t 3) (.f64 a (.f64 (.f64 y y) (.f64 x x))))) (/.f64 (pow.f64 t 3) (.f64 a (.f64 (.f64 y y) (.f64 x x))))))) (/.f64 (-.f64 (.f64 y x) (*.f64 t z)) a))
(-.f64 (/.f64 (-.f64 (.f64 y x) (.f64 t z)) a) (.f64 (pow.f64 z 3) (-.f64 (/.f64 (pow.f64 t 3) (.f64 a (.f64 (.f64 y y) (.f64 x x)))) (/.f64 (pow.f64 t 3) (.f64 a (.f64 (.f64 y y) (*.f64 x x)))))))
(.f64 -1 (/.f64 (.f64 t z) a))
(neg.f64 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 t (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 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 a t))) (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 a t))) z)) (/.f64 (*.f64 y x) a)))
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 a (pow.f64 t 2)))) (+.f64 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 a (pow.f64 t 2))) (.f64 -1 (/.f64 (.f64 y (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 a t))) (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 a t))) x)) t)))) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 a t))) (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 a t))) z)) (/.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 t (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 (pow.f64 y 2) (pow.f64 x 2)) (.f64 a (.f64 t z)))) (+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (+.f64 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 a (.f64 t z))) (/.f64 (.f64 y x) a))))
(fma.f64 -1 (.f64 (/.f64 (.f64 y y) a) (/.f64 (.f64 x x) (.f64 t z))) (fma.f64 -1 (/.f64 t (/.f64 a z)) (+.f64 (/.f64 y (/.f64 a x)) (.f64 (/.f64 (.f64 y y) a) (/.f64 (.f64 x x) (.f64 t z))))))
(-.f64 (+.f64 (/.f64 (-.f64 (.f64 y x) (.f64 t z)) a) (/.f64 (.f64 y y) (/.f64 (.f64 a t) (/.f64 (.f64 x x) z)))) (/.f64 (.f64 y y) (/.f64 (.f64 a t) (/.f64 (.f64 x x) z))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 a (pow.f64 t 2)))) (+.f64 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 a (pow.f64 t 2))) (/.f64 (.f64 y (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 a t))) (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 a t))) x)) t))) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 a (.f64 t z)))) (+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (+.f64 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 a (.f64 t z))) (/.f64 (*.f64 y x) a)))))
(fma.f64 -1 (.f64 (/.f64 (.f64 y y) a) (/.f64 (.f64 x x) (.f64 t z))) (fma.f64 -1 (/.f64 t (/.f64 a z)) (+.f64 (/.f64 y (/.f64 a x)) (.f64 (/.f64 (.f64 y y) a) (/.f64 (.f64 x x) (.f64 t z))))))
(-.f64 (+.f64 (/.f64 (-.f64 (.f64 y x) (.f64 t z)) a) (/.f64 (.f64 y y) (/.f64 (.f64 a t) (/.f64 (.f64 x x) z)))) (/.f64 (.f64 y y) (/.f64 (.f64 a t) (/.f64 (.f64 x x) z))))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(*.f64 (/.f64 y a) x)
(+.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 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (.f64 a (.f64 y x)))) (/.f64 (pow.f64 z 2) (.f64 y (.f64 a x)))) (pow.f64 t 2))) (/.f64 (.f64 y x) a)))
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (.f64 a (.f64 y x)))) (/.f64 (pow.f64 z 2) (.f64 y (.f64 a x)))) (pow.f64 t 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 t 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 z 2) (.f64 y (.f64 a x)))) (/.f64 (pow.f64 z 2) (.f64 y (.f64 a x)))) z) (.f64 y x))) (+.f64 (.f64 -1 (/.f64 (pow.f64 z 3) (.f64 a (.f64 (pow.f64 y 2) (pow.f64 x 2))))) (/.f64 (pow.f64 z 3) (.f64 (pow.f64 y 2) (.f64 a (pow.f64 x 2)))))))) (/.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 t (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 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 a z))) (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 a z))) t)) (/.f64 (*.f64 y x) a)))
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 a z))) (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 a z))) x)) z)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 a (pow.f64 z 2)))) (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 a (pow.f64 z 2))))) (pow.f64 t 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 a z))) (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 a z))) t)) (/.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 t (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 (pow.f64 y 2) (pow.f64 x 2)) (.f64 a (.f64 t z)))) (+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (+.f64 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 a (.f64 t z))) (/.f64 (.f64 y x) a))))
(fma.f64 -1 (.f64 (/.f64 (.f64 y y) a) (/.f64 (.f64 x x) (.f64 t z))) (fma.f64 -1 (/.f64 t (/.f64 a z)) (+.f64 (/.f64 y (/.f64 a x)) (.f64 (/.f64 (.f64 y y) a) (/.f64 (.f64 x x) (.f64 t z))))))
(-.f64 (+.f64 (/.f64 (-.f64 (.f64 y x) (.f64 t z)) a) (/.f64 (.f64 y y) (/.f64 (.f64 a t) (/.f64 (.f64 x x) z)))) (/.f64 (.f64 y y) (/.f64 (.f64 a t) (/.f64 (.f64 x x) z))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (.f64 y (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 a z))) (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 a z))) x)) z) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 a (pow.f64 z 2)))) (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 a (pow.f64 z 2))))) (pow.f64 t 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 a (.f64 t z)))) (+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (+.f64 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 a (.f64 t z))) (/.f64 (*.f64 y x) a)))))
(fma.f64 -1 (.f64 (/.f64 (.f64 y y) a) (/.f64 (.f64 x x) (.f64 t z))) (fma.f64 -1 (/.f64 t (/.f64 a z)) (+.f64 (/.f64 y (/.f64 a x)) (.f64 (/.f64 (.f64 y y) a) (/.f64 (.f64 x x) (.f64 t z))))))
(-.f64 (+.f64 (/.f64 (-.f64 (.f64 y x) (.f64 t z)) a) (/.f64 (.f64 y y) (/.f64 (.f64 a t) (/.f64 (.f64 x x) z)))) (/.f64 (.f64 y y) (/.f64 (.f64 a t) (/.f64 (.f64 x x) z))))

eval396.0ms (2.6%)

Compiler: Compiled 19076 to 6063 computations (68.2% saved)

prune187.0ms (1.2%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	878	9	887
Fresh	1	3	4
Picked	1	0	1
Done	2	3	5
Total	882	15	897

Error

Counts

897 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	7.7b	(fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
▶	7.0b	(-.f64 (/.f64 (.f64 x y) a) (/.f64 (.f64 z t) a))
	9.2b	(-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t)))
✓	31.6b	(*.f64 y (/.f64 x a))
✓	34.2b	(*.f64 t (/.f64 (neg.f64 z) a))
▶	30.7b	(.f64 (/.f64 1 a) (.f64 y x))
	7.0b	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
▶	30.7b	(/.f64 (*.f64 y x) a)
	31.3b	(/.f64 y (/.f64 a x))
	7.4b	(+.f64 (.f64 -1 (.f64 t (/.f64 1 (/.f64 a z)))) (/.f64 (*.f64 y x) a))
▶	35.0b	(.f64 (/.f64 1 a) (.f64 t (neg.f64 z)))
▶	31.0b	(*.f64 (/.f64 y a) x)
✓	6.9b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
	34.9b	(/.f64 (*.f64 t (neg.f64 z)) a)
	30.7b	(/.f64 1 (/.f64 a (*.f64 y x)))

Compiler

Compiled 361 to 250 computations (30.7% saved)

localize16.0ms (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))
✓	4.5b	(/.f64 (*.f64 x y) a)
✓	4.5b	(/.f64 (*.f64 z t) a)

Compiler

Compiled 37 to 10 computations (73% saved)

series9.0ms (0.1%)

Counts

3 → 132

Calls

33 calls:

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

rewrite105.0ms (0.7%)

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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simplify116.0ms (0.8%)

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%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.9b	(*.f64 (/.f64 y 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	a	@	inf	(*.f64 (/.f64 y a) x)
0.0ms	y	@	inf	(*.f64 (/.f64 y a) x)
0.0ms	a	@	-inf	(*.f64 (/.f64 y a) x)
0.0ms	y	@	-inf	(*.f64 (/.f64 y a) x)
0.0ms	y	@	0	(*.f64 (/.f64 y a) x)

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`pow1_binary64`
629×	`add-log-exp_binary64`
629×	`log1p-expm1-u_binary64`
629×	`expm1-log1p-u_binary64`
614×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1675	7

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

59 → 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))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	4.5b	(/.f64 (*.f64 y x) a)

Compiler

Compiled 16 to 7 computations (56.3% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.5b	(.f64 (/.f64 1 a) (.f64 y x))

Compiler

Compiled 22 to 12 computations (45.5% saved)

series80.0ms (0.5%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
78.0ms	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	x	@	-inf	(.f64 (/.f64 1 a) (.f64 y x))
0.0ms	a	@	-inf	(.f64 (/.f64 1 a) (.f64 y x))

rewrite53.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify12.0ms (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))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.6b	(.f64 (/.f64 1 a) (.f64 t (neg.f64 z)))

Compiler

Compiled 26 to 13 computations (50% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite65.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

784×	`pow1_binary64`
722×	`add-log-exp_binary64`
722×	`log1p-expm1-u_binary64`
722×	`expm1-log1p-u_binary64`
706×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	182	7
2	2324	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify40.0ms (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

62 → 28

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))
(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))
(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)))

eval95.0ms (0.6%)

Compiler: Compiled 6949 to 1760 computations (74.7% saved)

prune89.0ms (0.6%)

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	413	3	416
Fresh	1	6	7
Picked	0	1	1
Done	0	7	7
Total	414	17	431

Error

Counts

431 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	7.7b	(fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
✓	7.0b	(-.f64 (/.f64 (.f64 x y) a) (/.f64 (.f64 z t) a))
	31.3b	(/.f64 y (/.f64 a x))
	9.2b	(-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t)))
✓	31.6b	(*.f64 y (/.f64 x a))
✓	34.2b	(*.f64 t (/.f64 (neg.f64 z) a))
✓	30.7b	(.f64 (/.f64 1 a) (.f64 y x))
▶	7.0b	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
▶	31.0b	(/.f64 x (/.f64 a y))
✓	30.7b	(/.f64 (*.f64 y x) a)
▶	35.3b	(neg.f64 (*.f64 z (/.f64 t a)))
✓	6.9b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
▶	7.4b	(+.f64 (.f64 -1 (.f64 t (/.f64 1 (/.f64 a z)))) (/.f64 (*.f64 y x) a))
✓	35.0b	(.f64 (/.f64 1 a) (.f64 t (neg.f64 z)))
✓	31.0b	(*.f64 (/.f64 y a) x)
	34.9b	(/.f64 (*.f64 t (neg.f64 z)) a)
▶	30.7b	(/.f64 1 (/.f64 a (*.f64 y x)))

Compiler

Compiled 342 to 237 computations (30.7% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (.f64 x y) (.f64 z t))
✓	0.2b	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
	6.5b	(/.f64 a (-.f64 (.f64 x y) (.f64 z t)))

Compiler

Compiled 44 to 12 computations (72.7% saved)

series4.0ms (0%)

Counts

1 → 60

Calls

15 calls:

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

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

691×	`log-prod_binary64`
452×	`fma-def_binary64`
345×	`pow2_binary64`
238×	`pow1/3_binary64`
236×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	265	13
2	3625	13

Stop Event

1×	node limit

Counts

1 → 96

Calls

Call 1

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

Outputs

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

simplify112.0ms (0.7%)

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

156 → 102

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)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.2b	(/.f64 x (/.f64 a y))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

77 → 42

Calls

Call 1

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

localize18.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.5b	(*.f64 z (/.f64 t a))

Compiler

Compiled 22 to 8 computations (63.6% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite72.0ms (0.5%)

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 z (/.f64 t a))

Outputs

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

simplify27.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

58 → 24

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)

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

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1 (/.f64 a (*.f64 y x)))
✓	4.4b	(/.f64 a (*.f64 y x))

Compiler

Compiled 24 to 10 computations (58.3% saved)

series13.0ms (0.1%)

Counts

2 → 36

Calls

18 calls:

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

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

871×	`pow1_binary64`
806×	`add-log-exp_binary64`
806×	`log1p-expm1-u_binary64`
806×	`expm1-log1p-u_binary64`
787×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	166	14
2	2220	14

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

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

simplify17.0ms (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

119 → 85

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))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1 (.f64 t (/.f64 1 (/.f64 a z)))) (/.f64 (*.f64 y x) a))
✓	1.3b	(/.f64 1 (/.f64 a z))
	4.5b	(/.f64 (*.f64 y x) a)
✓	4.6b	(*.f64 t (/.f64 1 (/.f64 a z)))

Compiler

Compiled 59 to 26 computations (55.9% saved)

series9.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite113.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`log-prod_binary64`
476×	`fma-def_binary64`
264×	`expm1-udef_binary64`
264×	`log1p-udef_binary64`
251×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	320	27
2	4556	25

Stop Event

1×	node limit

Counts

3 → 195

Calls

Call 1

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

simplify106.0ms (0.7%)

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

315 → 206

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

eval183.0ms (1.2%)

Compiler: Compiled 13650 to 4376 computations (67.9% saved)

prune322.0ms (2.1%)

Pruning

16 alts after pruning (6 fresh and 10 done)

	Pruned	Kept	Total
New	745	4	749
Fresh	2	2	4
Picked	1	0	1
Done	2	10	12
Total	750	16	766

Error

Counts

766 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	31.3b	(/.f64 y (/.f64 a x))
✓	31.6b	(*.f64 y (/.f64 x a))
✓	34.2b	(*.f64 t (/.f64 (neg.f64 z) a))
✓	30.7b	(.f64 (/.f64 1 a) (.f64 y x))
	7.3b	(+.f64 (.f64 -1 (/.f64 t (/.f64 a z))) (/.f64 (.f64 y x) a))
✓	31.0b	(/.f64 x (/.f64 a y))
✓	30.7b	(/.f64 (*.f64 y x) a)
✓	35.3b	(neg.f64 (*.f64 z (/.f64 t a)))
✓	6.9b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
	31.1b	(*.f64 (/.f64 1 (/.f64 a y)) x)
	34.9b	(/.f64 (*.f64 t (neg.f64 z)) a)
✓	30.7b	(/.f64 1 (/.f64 a (*.f64 y x)))
	35.3b	(neg.f64 (/.f64 z (/.f64 a t)))
✓	7.0b	(-.f64 (/.f64 (.f64 x y) a) (/.f64 (.f64 z t) a))
	35.0b	(/.f64 1 (/.f64 (neg.f64 a) (*.f64 t z)))
✓	31.0b	(*.f64 (/.f64 y a) x)

Compiler

Compiled 191 to 135 computations (29.3% saved)

regimes1.1s (7.2%)

Counts

26 → 3

Calls

Call 1

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

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

Calls

12 calls:

161.0ms	z
148.0ms	(*.f64 x y)
125.0ms	t
103.0ms	(*.f64 x y)
102.0ms	y

Results

Error	Segments	Branch
3.5b	4	`x`
5.2b	2	`y`
2.8b	5	`z`
3.4b	3	`t`
2.9b	3	`a`
0.7b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
0.7b	3	`(-.f64 (.f64 x y) (.f64 z t))`
0.7b	3	`(-.f64 (.f64 x y) (.f64 z t))`
2.4b	5	`(*.f64 x y)`
2.4b	5	`(*.f64 x y)`
2.6b	3	`(*.f64 z t)`
2.6b	3	`(*.f64 z t)`

Compiler

Compiled 318 to 150 computations (52.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.9548937107485495e+194	5.700913693606533e+195
0.0ms	-1.5055488973256973e+249	-1.4334331995302692e+242

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes720.0ms (4.8%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

12 calls:

91.0ms	t
83.0ms	x
72.0ms	(*.f64 z t)
72.0ms	z
69.0ms	(*.f64 z t)

Results

Error	Segments	Branch
3.5b	4	`x`
5.3b	3	`y`
3.4b	5	`z`
3.7b	3	`t`
2.3b	5	`a`
0.7b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
0.7b	3	`(-.f64 (.f64 x y) (.f64 z t))`
0.7b	3	`(-.f64 (.f64 x y) (.f64 z t))`
2.5b	5	`(*.f64 x y)`
2.5b	5	`(*.f64 x y)`
3.0b	3	`(*.f64 z t)`
3.0b	3	`(*.f64 z t)`

Compiler

Compiled 306 to 148 computations (51.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.690342338524878e+218	5.7330417549471233e+222
0.0ms	-1.5055488973256973e+249	-1.4334331995302692e+242

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes371.0ms (2.5%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

12 calls:

65.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
61.0ms	(*.f64 z t)
51.0ms	x
29.0ms	t
27.0ms	(-.f64 (.f64 x y) (.f64 z t))

Results

Error	Segments	Branch
5.9b	2	`x`
6.9b	1	`y`
6.9b	1	`z`
5.7b	3	`t`
6.9b	1	`a`
3.6b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
3.6b	3	`(-.f64 (.f64 x y) (.f64 z t))`
3.6b	3	`(-.f64 (.f64 x y) (.f64 z t))`
3.9b	3	`(*.f64 x y)`
3.9b	3	`(*.f64 x y)`
3.7b	3	`(*.f64 z t)`
3.7b	3	`(*.f64 z t)`

Compiler

Compiled 232 to 127 computations (45.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0208487074671649e+304	+inf
0.0ms	-inf	-2.815672107052238e+298

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes856.0ms (5.7%)

Counts

16 → 9

Calls

Call 1

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

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

Calls

5 calls:

346.0ms	t
205.0ms	z
115.0ms	x
101.0ms	a
83.0ms	y

Results

Error	Segments	Branch
18.7b	7	`x`
19.0b	5	`y`
19.1b	3	`z`
16.8b	9	`t`
22.0b	10	`a`

Compiler

Compiled 131 to 68 computations (48.1% saved)

bsearch723.0ms (4.8%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
148.0ms	4.886518959375409e+148	3.0183026434269298e+153
149.0ms	2.920147594694843e+99	3.1846736117344787e+102
197.0ms	5.217926908610615e+68	2.2024442738340935e+71
30.0ms	1.1952633833528638e+35	7.882143136904675e+37
52.0ms	68711.01731258573	16712066.925313698
37.0ms	2.0454223489668182e-47	9.643470782147303e-45
71.0ms	4.0885942739481147e-85	8.242317955895719e-83
39.0ms	-2.318350207130133e-78	-1.0804133376019718e-91

Compiler

Compiled 574 to 424 computations (26.1% saved)

regimes737.0ms (4.9%)

Counts

13 → 9

Calls

Call 1

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

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

Calls

5 calls:

272.0ms	t
204.0ms	a
103.0ms	y
91.0ms	z
61.0ms	x

Results

Error	Segments	Branch
18.7b	7	`x`
19.0b	5	`y`
19.1b	3	`z`
16.8b	9	`t`
22.0b	10	`a`

Compiler

Compiled 108 to 57 computations (47.2% saved)

bsearch545.0ms (3.6%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
105.0ms	4.886518959375409e+148	3.0183026434269298e+153
161.0ms	2.920147594694843e+99	3.1846736117344787e+102
160.0ms	5.217926908610615e+68	2.2024442738340935e+71
24.0ms	1.1952633833528638e+35	7.882143136904675e+37
26.0ms	68711.01731258573	16712066.925313698
22.0ms	2.0454223489668182e-47	9.643470782147303e-45
22.0ms	4.0885942739481147e-85	8.242317955895719e-83
24.0ms	-2.318350207130133e-78	-1.0804133376019718e-91

Compiler

Compiled 574 to 424 computations (26.1% saved)

regimes313.0ms (2.1%)

Counts

10 → 9

Calls

Call 1

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

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

Calls

5 calls:

166.0ms	t
63.0ms	a
34.0ms	x
29.0ms	y
17.0ms	z

Results

Error	Segments	Branch
19.9b	5	`x`
19.0b	5	`y`
19.1b	3	`z`
16.8b	9	`t`
22.6b	11	`a`

Compiler

Compiled 88 to 49 computations (44.3% saved)

bsearch492.0ms (3.3%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
77.0ms	4.886518959375409e+148	3.0183026434269298e+153
125.0ms	2.920147594694843e+99	3.1846736117344787e+102
150.0ms	5.217926908610615e+68	2.2024442738340935e+71
40.0ms	1.1952633833528638e+35	7.882143136904675e+37
23.0ms	68711.01731258573	16712066.925313698
34.0ms	2.0454223489668182e-47	9.643470782147303e-45
21.0ms	4.0885942739481147e-85	8.242317955895719e-83
22.0ms	-2.318350207130133e-78	-1.0804133376019718e-91

Compiler

Compiled 574 to 424 computations (26.1% saved)

regimes243.0ms (1.6%)

Counts

9 → 7

Calls

Call 1

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

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

Calls

5 calls:

72.0ms	a
67.0ms	t
46.0ms	y
37.0ms	x
18.0ms	z

Results

Error	Segments	Branch
20.4b	5	`x`
18.8b	7	`y`
19.1b	3	`z`
20.4b	7	`t`
26.7b	5	`a`

Compiler

Compiled 82 to 46 computations (43.9% saved)

bsearch514.0ms (3.4%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
117.0ms	8.882431623270697e+120	5.598856942710599e+121
188.0ms	6.338835826249794e+111	2.485156342510528e+117
163.0ms	9.636185488418021e+57	5.3623697340113544e+66
0.0ms	1.2453132872065935e-159	1.251890696938747e-159
23.0ms	9.838452958616032e-251	5.816470624551312e-248
22.0ms	-3.7621125855454825e-93	-1.7377936401399173e-117

Compiler

Compiled 574 to 424 computations (26.1% saved)

regimes307.0ms (2%)

Counts

8 → 7

Calls

Call 1

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

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

Calls

5 calls:

83.0ms	a
82.0ms	y
68.0ms	t
53.0ms	x
19.0ms	z

Results

Error	Segments	Branch
20.4b	5	`x`
18.8b	7	`y`
19.1b	3	`z`
20.4b	7	`t`
26.7b	5	`a`

Compiler

Compiled 76 to 43 computations (43.4% saved)

bsearch466.0ms (3.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
108.0ms	8.882431623270697e+120	5.598856942710599e+121
116.0ms	6.338835826249794e+111	2.485156342510528e+117
170.0ms	9.636185488418021e+57	5.3623697340113544e+66
0.0ms	1.2453132872065935e-159	1.251890696938747e-159
21.0ms	9.838452958616032e-251	5.816470624551312e-248
50.0ms	-3.7621125855454825e-93	-1.7377936401399173e-117

Compiler

Compiled 574 to 424 computations (26.1% saved)

regimes93.0ms (0.6%)

Counts

7 → 4

Calls

Call 1

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

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

Calls

5 calls:

42.0ms	a
18.0ms	t
14.0ms	y
10.0ms	x
6.0ms	z

Results

Error	Segments	Branch
29.4b	2	`x`
28.9b	2	`y`
30.7b	1	`z`
28.4b	4	`t`
29.3b	2	`a`

Compiler

Compiled 70 to 40 computations (42.9% saved)

bsearch267.0ms (1.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
78.0ms	5.666280221618236e+233	9.363004298166904e+237
143.0ms	1.5066394133136225e+74	8.220636260943447e+74
46.0ms	-2.5521299367014494e-247	-3.017950327027754e-261

Compiler

Compiled 330 to 240 computations (27.3% saved)

regimes43.0ms (0.3%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	y
10.0ms	t
7.0ms	x
7.0ms	a
4.0ms	z

Results

Error	Segments	Branch
29.6b	2	`x`
28.9b	2	`y`
30.7b	1	`z`
29.6b	2	`t`
29.4b	2	`a`

Compiler

Compiled 55 to 36 computations (34.5% saved)

bsearch53.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
53.0ms	1.5050339281237157e+75	1.8296931988971133e+79

Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes41.0ms (0.3%)

Accuracy

Total -5.6b remaining (-18.9%)

Threshold costs -5.6b (-18.9%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	x
9.0ms	a
9.0ms	t
6.0ms	y
5.0ms	z

Results

Error	Segments	Branch
29.6b	2	`x`
29.6b	2	`y`
31.0b	1	`z`
29.6b	2	`t`
29.8b	2	`a`

Compiler

Compiled 45 to 34 computations (24.4% saved)

bsearch25.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	-4.791424674612273e-263	-2.932604326233013e-269

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify41.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64`
11×	`+-commutative_binary64`
11×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	851
1	154	851
2	182	851
3	201	851
4	210	851
5	213	851

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -999999999999999921096833083214702657554042769375222237286651769671841261663933600278047414170535414411036408111814232401040478571454131528428125775275729162364250341707296785977412047465036916114055333519200963067478208555469597215339755257651527680) (-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 199999999999999988931934877509392341532655751820236474297942230235708703226356268137238754216913008812009056179372829419077125498979553242354230007459349296160758945106854847808925417201609998336) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -999999999999999921096833083214702657554042769375222237286651769671841261663933600278047414170535414411036408111814232401040478571454131528428125775275729162364250341707296785977412047465036916114055333519200963067478208555469597215339755257651527680) (-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 499999999999999982542194442741259708796427565313046921085521797595416593199525768658598408353399812648610739008092760363837084319972425144424811177737061172738273196287749844990774174009031639561114205492093752612749312) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t)))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -inf.0) (/.f64 x (/.f64 a y)) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (*.f64 t (/.f64 (neg.f64 z) a))))
(if (<=.f64 t -4951965987154521088/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (neg.f64 (/.f64 z (/.f64 a t))) (if (<=.f64 t 7154224631229349/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (/.f64 1 (/.f64 a (.f64 y x))) (if (<=.f64 t 525898718261179/25711008708143844408671393477458601640355247900524685364822016) (.f64 t (/.f64 (neg.f64 z) a)) (if (<=.f64 t 590223144464891/8589934592) (.f64 y (/.f64 x a)) (if (<=.f64 t 119526338335286375683024807616577536) (neg.f64 (/.f64 z (/.f64 a t))) (if (<=.f64 t 219999999999999994501978431813987710737983990017906259551658523634958336) (.f64 y (/.f64 x a)) (if (<=.f64 t 3000000000000000144842117940566207686481337910359529749054740219931327694241734805189255256017469440) (/.f64 (.f64 t (neg.f64 z)) a) (if (<=.f64 t 3000000000000000185270922432044825215193511876684470853389708900026532470628762275262417035723569846835917119195558913616383313486528641645257064504623104) (/.f64 y (/.f64 a x)) (.f64 t (/.f64 (neg.f64 z) a))))))))))
(if (<=.f64 t -4951965987154521088/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (neg.f64 (/.f64 z (/.f64 a t))) (if (<=.f64 t 7154224631229349/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (/.f64 (.f64 y x) a) (if (<=.f64 t 525898718261179/25711008708143844408671393477458601640355247900524685364822016) (.f64 t (/.f64 (neg.f64 z) a)) (if (<=.f64 t 590223144464891/8589934592) (.f64 y (/.f64 x a)) (if (<=.f64 t 119526338335286375683024807616577536) (neg.f64 (/.f64 z (/.f64 a t))) (if (<=.f64 t 219999999999999994501978431813987710737983990017906259551658523634958336) (.f64 y (/.f64 x a)) (if (<=.f64 t 3000000000000000144842117940566207686481337910359529749054740219931327694241734805189255256017469440) (/.f64 (.f64 t (neg.f64 z)) a) (if (<=.f64 t 3000000000000000185270922432044825215193511876684470853389708900026532470628762275262417035723569846835917119195558913616383313486528641645257064504623104) (/.f64 y (/.f64 a x)) (.f64 t (/.f64 (neg.f64 z) a))))))))))
(if (<=.f64 t -4951965987154521088/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (neg.f64 (/.f64 z (/.f64 a t))) (if (<=.f64 t 7154224631229349/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592) (/.f64 (.f64 y x) a) (if (<=.f64 t 525898718261179/25711008708143844408671393477458601640355247900524685364822016) (.f64 t (/.f64 (neg.f64 z) a)) (if (<=.f64 t 590223144464891/8589934592) (.f64 y (/.f64 x a)) (if (<=.f64 t 119526338335286375683024807616577536) (neg.f64 (/.f64 z (/.f64 a t))) (if (<=.f64 t 219999999999999994501978431813987710737983990017906259551658523634958336) (.f64 y (/.f64 x a)) (if (<=.f64 t 3000000000000000144842117940566207686481337910359529749054740219931327694241734805189255256017469440) (.f64 t (/.f64 (neg.f64 z) a)) (if (<=.f64 t 3000000000000000185270922432044825215193511876684470853389708900026532470628762275262417035723569846835917119195558913616383313486528641645257064504623104) (/.f64 y (/.f64 a x)) (.f64 t (/.f64 (neg.f64 z) a))))))))))
(if (<=.f64 y -8835481608342931/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (/.f64 y (/.f64 a x)) (if (<=.f64 y 3172363826216037/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704) (neg.f64 (/.f64 z (/.f64 a t))) (if (<=.f64 y 4946608029462091/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) (/.f64 (.f64 y x) a) (if (<=.f64 y 5200000000000000239478322934282320537890806209626323452948599799808) (neg.f64 (.f64 z (/.f64 t a))) (if (<=.f64 y 6500000000000000186575686278370882953544177326768983901011689667066530375452576384111194065673430410813824303104) (*.f64 (/.f64 y a) x) (if (<=.f64 y 54999999999999998040128778110404248137726449871052865701663786212587061402912765130467340387967781160255726718662104580096) (neg.f64 (/.f64 z (/.f64 a t))) (/.f64 y (/.f64 a x))))))))
(if (<=.f64 y -8835481608342931/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (/.f64 y (/.f64 a x)) (if (<=.f64 y 3172363826216037/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704) (neg.f64 (/.f64 z (/.f64 a t))) (if (<=.f64 y 4946608029462091/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) (/.f64 (.f64 y x) a) (if (<=.f64 y 5200000000000000239478322934282320537890806209626323452948599799808) (neg.f64 (/.f64 z (/.f64 a t))) (if (<=.f64 y 6500000000000000186575686278370882953544177326768983901011689667066530375452576384111194065673430410813824303104) (.f64 (/.f64 y a) x) (if (<=.f64 y 54999999999999998040128778110404248137726449871052865701663786212587061402912765130467340387967781160255726718662104580096) (neg.f64 (/.f64 z (/.f64 a t))) (/.f64 y (/.f64 a x))))))))
(if (<=.f64 t -8036352922362013/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (.f64 (/.f64 y a) x) (if (<=.f64 t 820000000000000008057487445721669827810607560962974274748997299988592590848) (/.f64 (.f64 y x) a) (if (<=.f64 t 9199999999999999811364030806496571859765060880114805691163476303701774276492328939980884661353720538893922908412311853430426689938850182813724431193484944136190495528680420088982708673209937635304929282597969568132571701204443119327641600) (/.f64 x (/.f64 a y)) (/.f64 y (/.f64 a x)))))
(if (<=.f64 y 1000000000000000008493621433689702976148869924598760615894999102702796905906176) (/.f64 (*.f64 y x) a) (/.f64 y (/.f64 a x)))
(if (<=.f64 t -108717796430146944/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (/.f64 x (/.f64 a y)) (/.f64 y (/.f64 a x)))
(/.f64 y (/.f64 a x))

Outputs
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(if (<=.f64 y 1000000000000000008493621433689702976148869924598760615894999102702796905906176) (/.f64 (*.f64 y x) a) (/.f64 y (/.f64 a x)))
(if (<=.f64 y 1000000000000000008493621433689702976148869924598760615894999102702796905906176) (/.f64 (*.f64 x y) a) (/.f64 y (/.f64 a x)))
(if (<=.f64 t -108717796430146944/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (/.f64 x (/.f64 a y)) (/.f64 y (/.f64 a x)))
(if (<=.f64 t -849357784610523/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152) (/.f64 x (/.f64 a y)) (/.f64 y (/.f64 a x)))
(/.f64 y (/.f64 a x))

Compiler

Compiled 640 to 314 computations (50.9% saved)

soundness152.0ms (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

Compiler

Compiled 134 to 87 computations (35.1% saved)

end168.0ms (1.1%)

Remove: (sort z t)
Compiler: Compiled 927 to 334 computations (64% saved)

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

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

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

Iter	Nodes	Cost
0	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