Details

analyze464.0ms (5.4%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample2.0s (23.2%)

Results

1.4s	8256×	body	256	valid
605.0ms	3168×	body	256	invalid

preprocess65.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

726×	`times-frac_binary64`
600×	`associate-/l*_binary64`
527×	`fma-neg_binary64`
388×	`sub-neg_binary64`
372×	`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	2123	143
6	3016	143
7	6616	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 z (neg.f64 x))) 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 x z (*.f64 t (neg.f64 y))) 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 (-.f64 (.f64 x y) (.f64 z a)) t)
(/.f64 (fma.f64 z (neg.f64 a) (*.f64 x y)) t)

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify33.0ms (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`
103×	`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	1758	13
10	2658	13
11	2745	13
12	2775	13
13	2780	13

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

5.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	5.7b	(/.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 4 expressions with local error:

New	Error	Program
	5.4b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
	0.0b	(-.f64 (.f64 x y) (.f64 z t))
✓	0.0b	(-.f64 (.f64 x y) (.f64 z t))
✓	5.4b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

Compiler

Compiled 32 to 9 computations (71.9% saved)

series14.0ms (0.2%)

Counts

2 → 108

Calls

27 calls:

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

rewrite99.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

650×	`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	3308	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 fma.f64 (.f64 x y) (/.f64 1 a) (neg.f64 (/.f64 z (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (/.f64 a y)) (neg.f64 (/.f64 z (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 a y))) 2) (cbrt.f64 (/.f64 x (/.f64 a y))) (neg.f64 (/.f64 z (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (/.f64 a y))) (sqrt.f64 (/.f64 x (/.f64 a y))) (neg.f64 (/.f64 z (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x 1) (/.f64 y a) (neg.f64 (/.f64 z (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y 1) (/.f64 x a) (neg.f64 (/.f64 z (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (.f64 x y)) a) (neg.f64 (/.f64 z (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (.f64 x y)) 1) (/.f64 (sqrt.f64 (.f64 x y)) a) (neg.f64 (/.f64 z (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (pow.f64 (cbrt.f64 a) 2)) (/.f64 y (cbrt.f64 a)) (neg.f64 (/.f64 z (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (pow.f64 (cbrt.f64 a) 2)) (/.f64 x (cbrt.f64 a)) (neg.f64 (/.f64 z (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) -2) (/.f64 (.f64 x y) (cbrt.f64 a)) (neg.f64 (/.f64 z (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 a)) (neg.f64 (/.f64 z (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (.f64 x y)) (cbrt.f64 a)) (neg.f64 (/.f64 z (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sqrt.f64 a)) (/.f64 y (sqrt.f64 a)) (neg.f64 (/.f64 z (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (sqrt.f64 a)) (/.f64 x (sqrt.f64 a)) (neg.f64 (/.f64 z (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a -1/2) (/.f64 (.f64 x y) (sqrt.f64 a)) (neg.f64 (/.f64 z (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (.f64 x y)) (sqrt.f64 a)) (neg.f64 (/.f64 z (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 a)) (/.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 a)) (neg.f64 (/.f64 z (/.f64 a t))))))) (#(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 expm1.f64 (log1p.f64 (/.f64 (-.f64 (.f64 x y) (*.f64 z t)) a)))))))
((#(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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(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)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 x y) (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 x y) (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x y) (*.f64 z t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 x y) (*.f64 z t))))))))

simplify106.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1011×	`fma-def_binary64`
397×	`fma-neg_binary64`
148×	`cancel-sign-sub-inv_binary64`
89×	`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	882	1140
8	1356	1140
9	2181	1140
10	2811	1140
11	2854	1140
12	2884	1140
13	2889	1140
14	2889	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 z (/.f64 a (neg.f64 t)))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(/.f64 (*.f64 y x) a)
(/.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 z (/.f64 a (neg.f64 t)))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(/.f64 (*.f64 y x) a)
(/.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 z (/.f64 a (neg.f64 t)))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (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 z (/.f64 a (neg.f64 t)))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(/.f64 (*.f64 y x) a)
(/.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 z (/.f64 a (neg.f64 t)))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(.f64 -1 (/.f64 (.f64 t z) a))
(/.f64 (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 z (/.f64 a (neg.f64 t)))
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
(/.f64 (-.f64 (.f64 y x) (.f64 t z)) a)
(/.f64 (-.f64 (.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 z (neg.f64 t))
(+.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 z (neg.f64 t))
(+.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 z (neg.f64 t))
(+.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 z (neg.f64 t))
(+.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 z (neg.f64 t))
(+.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 z (neg.f64 t))
(+.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))

eval80.0ms (0.9%)

Compiler: Compiled 4690 to 1121 computations (76.1% saved)

prune105.0ms (1.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

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

Error

0.0b

Counts

247 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	5.8b	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))
▶	5.7b	(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
	5.9b	(pow.f64 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))) -1)
	32.2b	(/.f64 (*.f64 z (neg.f64 t)) a)
	32.5b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) 2)
▶	5.7b	(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
▶	34.2b	(/.f64 z (/.f64 a (neg.f64 t)))
▶	8.1b	(-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t)))
✓	5.7b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
	31.7b	(/.f64 (*.f64 y x) a)
	5.7b	(/.f64 (+.f64 (.f64 x y) (fma.f64 z (neg.f64 t) (fma.f64 z (neg.f64 t) (.f64 z t)))) a)
	9.0b	(fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
▶	31.6b	(*.f64 y (/.f64 x a))

Compiler

Compiled 370 to 245 computations (33.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	5.4b	(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)
	0.0b	(fma.f64 (neg.f64 t) z (*.f64 x y))
✓	0.0b	(fma.f64 (neg.f64 t) z (*.f64 x y))
✓	5.4b	(/.f64 (fma.f64 (neg.f64 t) z (*.f64 x y)) a)

Compiler

Compiled 31 to 9 computations (71% saved)

series12.0ms (0.1%)

Counts

2 → 108

Calls

27 calls:

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

rewrite55.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

975×	`pow1_binary64`
893×	`add-log-exp_binary64`
892×	`log1p-expm1-u_binary64`
892×	`expm1-log1p-u_binary64`
107×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	205	19
2	2638	19

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

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

Outputs

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

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

simplify157.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	1368
1	33	1284
2	68	1140
3	124	1140
4	218	1140
5	361	1140
6	573	1140
7	838	1140
8	1261	1140
9	2136	1140
10	2768	1140
11	2811	1140
12	2841	1140
13	2846	1140
14	2846	1140

Stop Event

1×

saturated

Counts

162 → 66

Calls

Call 1

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	6.0b	(*.f64 y (/.f64 x a))
✓	6.0b	(*.f64 y (/.f64 x a))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite43.0ms (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 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 log1p.f64 (expm1.f64 (*.f64 y (/.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 x a))))))))

simplify13.0ms (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 → 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 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(/.f64 x (/.f64 a y))
(*.f64 y (/.f64 x a))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	5.7b	(/.f64 z (/.f64 a (neg.f64 t)))
✓	5.7b	(/.f64 z (/.f64 a (neg.f64 t)))

Compiler

Compiled 20 to 8 computations (60% saved)

series6.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite48.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`pow1_binary64`
723×	`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	7	9
1	154	7
2	2335	7

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

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

simplify27.0ms (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

78 → 44

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

localize18.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	7.2b	(/.f64 x (/.f64 a y))
	5.7b	(/.f64 z (/.f64 a t))
	0.0b	(-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t)))
✓	0.0b	(-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t)))
✓	5.7b	(/.f64 z (/.f64 a t))
✓	7.2b	(/.f64 x (/.f64 a y))

Compiler

Compiled 37 to 10 computations (73% saved)

series13.0ms (0.2%)

Counts

3 → 132

Calls

33 calls:

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

rewrite101.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

827×	`log-prod_binary64`
415×	`fma-def_binary64`
328×	`log-div_binary64`
257×	`fma-neg_binary64`
252×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	259	30
2	4354	30

Stop Event

1×	node limit

Counts

3 → 263

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 y a)) (*.f64 z (neg.f64 (/.f64 t a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 y a)) (*.f64 (*.f64 z (neg.f64 (/.f64 t a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 y a) (*.f64 z (neg.f64 (/.f64 t a)))) (fma.f64 (neg.f64 (/.f64 t a)) z (*.f64 z (/.f64 t a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 y a) (*.f64 z (neg.f64 (/.f64 t a)))) (fma.f64 (*.f64 z (neg.f64 (/.f64 t a))) 1 (*.f64 z (/.f64 t a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 y a) (*.f64 z (neg.f64 (/.f64 t a)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 t a)))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 t a))) 2) (*.f64 z (/.f64 t a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 y a) (*.f64 z (neg.f64 (/.f64 t a)))) (+.f64 (*.f64 z (neg.f64 (/.f64 t a))) (*.f64 z (/.f64 t a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 y a) (*.f64 z (neg.f64 (/.f64 t a)))) (fma.f64 (neg.f64 t) (/.f64 z a) (*.f64 z (/.f64 t a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 (/.f64 t a))) (*.f64 x (/.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (/.f64 y a) (*.f64 z (neg.f64 (/.f64 t a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (/.f64 y a) (*.f64 z (neg.f64 (/.f64 t a)))))) (cbrt.f64 (exp.f64 (fma.f64 x (/.f64 y a) (*.f64 z (neg.f64 (/.f64 t a)))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (/.f64 y a) (*.f64 z (neg.f64 (/.f64 t a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (/.f64 y a) (*.f64 z (neg.f64 (/.f64 t a))))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (/.f64 y a) (*.f64 z (neg.f64 (/.f64 t a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (/.f64 y a) (*.f64 z (neg.f64 (/.f64 t a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (/.f64 y a) (*.f64 z (neg.f64 (/.f64 t a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (/.f64 y a) (*.f64 z (neg.f64 (/.f64 t a))))) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y a) (*.f64 z (neg.f64 (/.f64 t a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y a) (*.f64 z (neg.f64 (/.f64 t a))))) 2) (cbrt.f64 (fma.f64 x (/.f64 y a) (*.f64 z (neg.f64 (/.f64 t a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (/.f64 y a) (*.f64 z (neg.f64 (/.f64 t a))))) (sqrt.f64 (fma.f64 x (/.f64 y a) (*.f64 z (neg.f64 (/.f64 t a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 x (/.f64 t a)) (*.f64 (/.f64 a y) z)) (/.f64 1 (*.f64 (/.f64 a y) (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 y a)) 3) (pow.f64 (*.f64 z (/.f64 t a)) 3)) (/.f64 1 (fma.f64 (*.f64 z (/.f64 t a)) (fma.f64 x (/.f64 y a) (*.f64 z (/.f64 t 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simplify95.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	1416
1	62	1224
2	159	1224
3	404	1224
4	874	1224
5	1706	1224
6	2299	1224
7	2427	1224
8	2457	1224
9	2462	1224
10	2462	1224

Stop Event

1×

saturated

Counts

395 → 271

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

localize16.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	5.8b	(/.f64 (*.f64 y x) a)
	3.7b	(/.f64 (*.f64 t z) a)
	0.0b	(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
✓	0.0b	(+.f64 (.f64 -1 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
✓	3.7b	(/.f64 (*.f64 t z) a)
✓	5.8b	(/.f64 (*.f64 y x) a)

Compiler

Compiled 47 to 15 computations (68.1% saved)

series9.0ms (0.1%)

Counts

3 → 24

Calls

33 calls:

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

rewrite81.0ms (0.9%)

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	4192	28

Stop Event

1×	node limit

Counts

3 → 230

Calls

Call 1

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

Outputs

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

simplify78.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1175×	`fma-def_binary64`
293×	`fma-neg_binary64`
115×	`cancel-sign-sub-inv_binary64`
106×	`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	215	252
4	399	252
5	821	252
6	1734	252
7	2753	252
8	3001	252
9	3039	252
10	3044	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 y (/.f64 a x))
(.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 (/.f64 z a) (neg.f64 t))
(*.f64 z (/.f64 (neg.f64 t) 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 (/.f64 z a) (neg.f64 t))
(*.f64 z (/.f64 (neg.f64 t) a))
(/.f64 (*.f64 y x) a)
(*.f64 (/.f64 y a) x)
(/.f64 y (/.f64 a x))
(.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 (/.f64 z a) (neg.f64 t))
(*.f64 z (/.f64 (neg.f64 t) 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 (/.f64 z a) (neg.f64 t))
(*.f64 z (/.f64 (neg.f64 t) 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 (fma.f64 z (neg.f64 t) (*.f64 y x)) 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 (fma.f64 z (neg.f64 t) (*.f64 y x)) 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 (fma.f64 z (neg.f64 t) (*.f64 y x)) 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 (fma.f64 z (neg.f64 t) (*.f64 y x)) 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 (fma.f64 z (neg.f64 t) (*.f64 y x)) 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 (fma.f64 z (neg.f64 t) (*.f64 y x)) 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 (fma.f64 z (neg.f64 t) (*.f64 y x)) 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 (fma.f64 z (neg.f64 t) (*.f64 y x)) 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 (fma.f64 z (neg.f64 t) (*.f64 y x)) 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 (fma.f64 z (neg.f64 t) (*.f64 y x)) 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 (fma.f64 z (neg.f64 t) (*.f64 y x)) 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 (fma.f64 z (neg.f64 t) (*.f64 y 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 (/.f64 z a) (neg.f64 t))
(*.f64 z (/.f64 (neg.f64 t) a))
(/.f64 (*.f64 y x) a)
(*.f64 (/.f64 y a) x)
(/.f64 y (/.f64 a x))
(/.f64 (*.f64 y x) a)
(*.f64 (/.f64 y a) x)
(/.f64 y (/.f64 a x))
(.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 (/.f64 z a) (neg.f64 t))
(*.f64 z (/.f64 (neg.f64 t) a))
(/.f64 (*.f64 y x) a)
(*.f64 (/.f64 y a) x)
(/.f64 y (/.f64 a x))
(/.f64 (*.f64 y x) a)
(*.f64 (/.f64 y a) x)
(/.f64 y (/.f64 a x))

eval195.0ms (2.3%)

Compiler: Compiled 11405 to 2749 computations (75.9% saved)

prune151.0ms (1.8%)

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	631	10	641
Fresh	4	3	7
Picked	1	0	1
Done	1	4	5
Total	637	17	654

Error

Counts

654 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	8.1b	(-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t)))
	34.4b	(/.f64 (neg.f64 t) (/.f64 a z))
	8.9b	(+.f64 (.f64 -1 (.f64 t (/.f64 1 (/.f64 a z)))) (/.f64 (*.f64 y x) a))
▶	34.3b	(*.f64 (neg.f64 t) (/.f64 z a))
▶	8.7b	(-.f64 (*.f64 y (/.f64 x a)) (/.f64 z (/.f64 a t)))
▶	57.4b	(*.f64 (/.f64 t a) z)
	31.7b	(/.f64 (*.f64 y x) a)
	34.5b	(*.f64 (neg.f64 z) (/.f64 t a))
	31.7b	(/.f64 1 (/.f64 a (*.f64 y x)))
	34.6b	(/.f64 (-.f64 (/.f64 x (/.f64 t a)) (.f64 (/.f64 a y) z)) (.f64 (/.f64 a y) (/.f64 a t)))
	32.2b	(/.f64 (*.f64 z (neg.f64 t)) a)
✓	31.6b	(*.f64 y (/.f64 x a))
	31.5b	(/.f64 y (/.f64 a x))
▶	5.8b	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))
✓	34.2b	(/.f64 z (/.f64 a (neg.f64 t)))
✓	5.7b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
▶	57.4b	(*.f64 (/.f64 z a) t)

Compiler

Compiled 395 to 268 computations (32.2% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	5.5b	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))
	0.0b	(-.f64 (.f64 x y) (.f64 z t))
	0.0b	(-.f64 (.f64 x y) (.f64 z t))
✓	5.5b	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))

Compiler

Compiled 38 to 14 computations (63.2% saved)

series4.0ms (0%)

Counts

1 → 60

Calls

15 calls:

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

rewrite83.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

658×	`log-prod_binary64`
459×	`fma-def_binary64`
332×	`pow2_binary64`
231×	`pow1/3_binary64`
228×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	260	13
2	3458	13

Stop Event

1×	node limit

Counts

1 → 103

Calls

Call 1

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

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

simplify95.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	912
1	34	720
2	67	720
3	128	720
4	226	720
5	373	720
6	610	720
7	881	720
8	1354	720
9	2180	720
10	2810	720
11	2853	720
12	2883	720
13	2888	720
14	2888	720

Stop Event

1×

saturated

Counts

163 → 110

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)

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

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	5.8b	(*.f64 (/.f64 z a) t)
✓	5.8b	(*.f64 (/.f64 z a) t)

Compiler

Compiled 16 to 7 computations (56.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite41.0ms (0.5%)

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 z a) t)

Outputs

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

simplify15.0ms (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

59 → 25

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	6.0b	(*.f64 (/.f64 t a) z)
✓	6.0b	(*.f64 (/.f64 t a) z)

Compiler

Compiled 16 to 7 computations (56.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite47.0ms (0.6%)

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 t a) z)

Outputs

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

simplify14.0ms (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

59 → 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 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))
(/.f64 (*.f64 t z) a)
(/.f64 t (/.f64 a z))
(/.f64 z (/.f64 a t))
(*.f64 t (/.f64 z a))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	5.8b	(*.f64 (neg.f64 t) (/.f64 z a))
✓	5.8b	(*.f64 (neg.f64 t) (/.f64 z a))

Compiler

Compiled 19 to 8 computations (57.9% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite44.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
658×	`add-log-exp_binary64`
657×	`log1p-expm1-u_binary64`
657×	`expm1-log1p-u_binary64`
643×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2082	7

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify27.0ms (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

60 → 26

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

localize14.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	6.0b	(*.f64 y (/.f64 x a))
	5.7b	(/.f64 z (/.f64 a t))
	0.0b	(-.f64 (*.f64 y (/.f64 x a)) (/.f64 z (/.f64 a t)))
✓	0.0b	(-.f64 (*.f64 y (/.f64 x a)) (/.f64 z (/.f64 a t)))
	5.7b	(/.f64 z (/.f64 a t))
	6.0b	(*.f64 y (/.f64 x a))

Compiler

Compiled 37 to 10 computations (73% saved)

series4.0ms (0%)

Counts

1 → 60

Calls

15 calls:

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

rewrite78.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	249	16
2	3829	16

Stop Event

1×	node limit

Counts

1 → 147

Calls

Call 1

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

Outputs

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

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	912
1	62	720
2	159	720
3	404	720
4	874	720
5	1706	720
6	2300	720
7	2428	720
8	2458	720
9	2463	720
10	2463	720

Stop Event

1×

saturated

Counts

207 → 155

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

eval155.0ms (1.8%)

Compiler: Compiled 11728 to 3010 computations (74.3% saved)

prune126.0ms (1.5%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	583	6	589
Fresh	4	4	8
Picked	0	1	1
Done	2	6	8
Total	589	17	606

Error

Counts

606 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	57.4b	(*.f64 (/.f64 z a) t)
▶	31.9b	(/.f64 x (/.f64 a y))
	31.7b	(/.f64 (*.f64 y x) a)
✓	57.4b	(*.f64 (/.f64 t a) z)
	32.3b	(.f64 (.f64 z (neg.f64 t)) (/.f64 1 a))
✓	8.7b	(-.f64 (*.f64 y (/.f64 x a)) (/.f64 z (/.f64 a t)))
✓	31.6b	(*.f64 y (/.f64 x a))
▶	31.5b	(/.f64 y (/.f64 a x))
	9.0b	(-.f64 (.f64 y (/.f64 x a)) (.f64 t (/.f64 z a)))
✓	34.2b	(/.f64 z (/.f64 a (neg.f64 t)))
	34.4b	(/.f64 (neg.f64 t) (/.f64 a z))
✓	34.3b	(*.f64 (neg.f64 t) (/.f64 z a))
✓	5.7b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
▶	34.5b	(*.f64 (neg.f64 z) (/.f64 t a))
▶	31.7b	(.f64 (.f64 y x) (/.f64 1 a))
	32.2b	(/.f64 (*.f64 z (neg.f64 t)) a)
▶	5.9b	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))

Compiler

Compiled 322 to 226 computations (29.8% saved)

localize13.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	5.4b	(/.f64 a (-.f64 (.f64 x y) (.f64 z t)))
	0.3b	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
	0.0b	(-.f64 (.f64 x y) (.f64 z t))
	0.0b	(-.f64 (.f64 x y) (.f64 z t))
✓	0.3b	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
✓	5.4b	(/.f64 a (-.f64 (.f64 x y) (.f64 z t)))

Compiler

Compiled 44 to 12 computations (72.7% saved)

series16.0ms (0.2%)

Counts

2 → 120

Calls

30 calls:

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

rewrite86.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

692×	`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	29
1	265	26
2	3627	26

Stop Event

1×	node limit

Counts

2 → 137

Calls

Call 1

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

Outputs

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

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

963×	`associate-/r*_binary64`
742×	`associate-r_binary64`
547×	`associate-l_binary64`
452×	`fma-def_binary64`
379×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	83	3024
1	324	2892
2	1673	2856

Stop Event

1×	node limit

Counts

257 → 162

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	6.0b	(/.f64 y (/.f64 a x))
✓	6.0b	(/.f64 y (/.f64 a x))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite47.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	7.2b	(/.f64 x (/.f64 a y))
	7.2b	(/.f64 x (/.f64 a y))

Compiler

Compiled 16 to 7 computations (56.3% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	6.0b	(*.f64 (neg.f64 z) (/.f64 t a))
✓	6.0b	(*.f64 (neg.f64 z) (/.f64 t a))

Compiler

Compiled 19 to 8 computations (57.9% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite41.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
658×	`add-log-exp_binary64`
657×	`log1p-expm1-u_binary64`
657×	`expm1-log1p-u_binary64`
643×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2082	7

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.6%)

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

60 → 26

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	5.9b	(.f64 (.f64 y x) (/.f64 1 a))
✓	5.9b	(.f64 (.f64 y x) (/.f64 1 a))

Compiler

Compiled 22 to 12 computations (45.5% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite42.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

763×	`pow1_binary64`
702×	`add-log-exp_binary64`
702×	`log1p-expm1-u_binary64`
702×	`expm1-log1p-u_binary64`
686×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	161	7
2	1981	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

eval132.0ms (1.5%)

Compiler: Compiled 8874 to 2765 computations (68.8% saved)

prune90.0ms (1%)

Pruning

18 alts after pruning (7 fresh and 11 done)

	Pruned	Kept	Total
New	479	4	483
Fresh	2	3	5
Picked	1	0	1
Done	0	11	11
Total	482	18	500

Error

Counts

500 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	31.7b	(/.f64 (*.f64 y x) a)
	34.4b	(/.f64 (neg.f64 t) (/.f64 a z))
	32.2b	(/.f64 (*.f64 z t) (neg.f64 a))
✓	34.3b	(*.f64 (neg.f64 t) (/.f64 z a))
✓	57.4b	(*.f64 (/.f64 z a) t)
✓	31.9b	(/.f64 x (/.f64 a y))
	32.3b	(.f64 (.f64 z (neg.f64 t)) (/.f64 1 a))
	32.3b	(/.f64 1 (/.f64 a (*.f64 z (neg.f64 t))))
✓	8.7b	(-.f64 (*.f64 y (/.f64 x a)) (/.f64 z (/.f64 a t)))
✓	57.4b	(*.f64 (/.f64 t a) z)
✓	31.6b	(*.f64 y (/.f64 x a))
✓	31.5b	(/.f64 y (/.f64 a x))
	9.0b	(-.f64 (.f64 y (/.f64 x a)) (.f64 t (/.f64 z a)))
✓	34.2b	(/.f64 z (/.f64 a (neg.f64 t)))
✓	5.7b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
✓	34.5b	(*.f64 (neg.f64 z) (/.f64 t a))
✓	5.9b	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
	32.1b	(*.f64 (/.f64 y a) x)

Compiler

Compiled 213 to 149 computations (30% saved)

regimes281.0ms (3.3%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

12 calls:

31.0ms	x
30.0ms	y
27.0ms	a
26.0ms	(-.f64 (.f64 x y) (.f64 z t))
25.0ms	(-.f64 (.f64 x y) (.f64 z t))

Results

Error	Segments	Branch
3.2b	3	`x`
4.1b	2	`y`
5.7b	1	`z`
5.7b	1	`t`
3.1b	3	`a`
0.5b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
0.5b	3	`(-.f64 (.f64 x y) (.f64 z t))`
0.5b	3	`(-.f64 (.f64 x y) (.f64 z t))`
1.7b	3	`(*.f64 x y)`
1.7b	3	`(*.f64 x y)`
4.2b	2	`(*.f64 z t)`
4.2b	2	`(*.f64 z t)`

Compiler

Compiled 228 to 122 computations (46.5% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.897492992692015e+284	2.2462609005145484e+288
0.0ms	-5.666179520664551e+134	-7.197097379573535e+132

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes297.0ms (3.5%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

12 calls:

39.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
32.0ms	z
28.0ms	a
27.0ms	x
26.0ms	(-.f64 (.f64 x y) (.f64 z t))

Results

Error	Segments	Branch
3.3b	3	`x`
4.7b	2	`y`
5.7b	1	`z`
5.7b	1	`t`
3.2b	3	`a`
0.5b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
0.5b	3	`(-.f64 (.f64 x y) (.f64 z t))`
0.5b	3	`(-.f64 (.f64 x y) (.f64 z t))`
1.7b	3	`(*.f64 x y)`
1.7b	3	`(*.f64 x y)`
4.2b	2	`(*.f64 z t)`
4.2b	2	`(*.f64 z t)`

Compiler

Compiled 217 to 119 computations (45.2% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.897492992692015e+284	2.2462609005145484e+288
0.0ms	-inf	-1.0177208598965963e+303

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes258.0ms (3%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

12 calls:

39.0ms	(-.f64 (.f64 x y) (.f64 z t))
30.0ms	x
26.0ms	(-.f64 (.f64 x y) (.f64 z t))
24.0ms	(*.f64 x y)
24.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

Results

Error	Segments	Branch
4.7b	2	`x`
5.7b	1	`y`
5.7b	1	`z`
5.7b	1	`t`
5.7b	1	`a`
2.2b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
2.2b	3	`(-.f64 (.f64 x y) (.f64 z t))`
2.2b	3	`(-.f64 (.f64 x y) (.f64 z t))`
2.2b	3	`(*.f64 x y)`
2.2b	3	`(*.f64 x y)`
4.5b	2	`(*.f64 z t)`
4.5b	2	`(*.f64 z t)`

Compiler

Compiled 206 to 117 computations (43.2% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4286259150092153e+293	2.7246715877438323e+303
0.0ms	-inf	-2.621846869512113e+301

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes379.0ms (4.4%)

Counts

14 → 4

Calls

Call 1

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

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

Calls

7 calls:

137.0ms	a
75.0ms	z
54.0ms	y
30.0ms	(*.f64 z t)
30.0ms	(*.f64 z t)

Results

Error	Segments	Branch
21.8b	3	`x`
16.6b	5	`y`
18.2b	5	`z`
19.6b	3	`t`
19.6b	12	`a`
15.3b	4	`(*.f64 z t)`
15.3b	4	`(*.f64 z t)`

Compiler

Compiled 132 to 74 computations (43.9% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.08485997033692e+116	8.715961692252969e+118
0.0ms	9.471632033402324e-106	2.967576029441731e-103
0.0ms	-634606218914.5679	-27458997754.69783

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes221.0ms (2.6%)

Counts

10 → 5

Calls

Call 1

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

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

Calls

5 calls:

74.0ms	a
46.0ms	x
38.0ms	y
36.0ms	z
22.0ms	t

Results

Error	Segments	Branch
22.1b	3	`x`
18.8b	5	`y`
19.2b	5	`z`
20.3b	3	`t`
20.4b	12	`a`

Compiler

Compiled 88 to 50 computations (43.2% saved)

bsearch122.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
40.0ms	7.969511945945763e-14	3.097037239169778e-11
24.0ms	5.852676500649716e-40	3.474454014030186e-38
34.0ms	1.257638781444251e-62	2.6789590252140026e-62
22.0ms	-1.5238519301656607e-54	-6.569734269984704e-63

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes272.0ms (3.2%)

Counts

9 → 5

Calls

Call 1

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

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

Calls

5 calls:

94.0ms	a
66.0ms	y
48.0ms	t
30.0ms	z
30.0ms	x

Results

Error	Segments	Branch
22.1b	3	`x`
19.3b	5	`y`
20.2b	4	`z`
20.6b	3	`t`
21.0b	12	`a`

Compiler

Compiled 82 to 49 computations (40.2% saved)

bsearch180.0ms (2.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
25.0ms	7.969511945945763e-14	3.097037239169778e-11
24.0ms	5.852676500649716e-40	3.474454014030186e-38
24.0ms	1.257638781444251e-62	2.6789590252140026e-62
108.0ms	-1.5238519301656607e-54	-6.569734269984704e-63

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes274.0ms (3.2%)

Counts

8 → 5

Calls

Call 1

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

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

Calls

5 calls:

122.0ms	a
76.0ms	z
39.0ms	y
17.0ms	x
17.0ms	t

Results

Error	Segments	Branch
22.2b	3	`x`
19.4b	5	`y`
20.2b	4	`z`
20.9b	3	`t`
21.0b	12	`a`

Compiler

Compiled 76 to 46 computations (39.5% saved)

bsearch113.0ms (1.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
22.0ms	7.969511945945763e-14	3.097037239169778e-11
37.0ms	5.852676500649716e-40	3.474454014030186e-38
22.0ms	1.257638781444251e-62	2.6789590252140026e-62
32.0ms	-1.5238519301656607e-54	-6.569734269984704e-63

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes158.0ms (1.8%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

5 calls:

59.0ms	z
38.0ms	a
34.0ms	y
17.0ms	x
6.0ms	t

Results

Error	Segments	Branch
29.3b	3	`x`
30.1b	2	`y`
29.9b	2	`z`
31.5b	1	`t`
29.1b	3	`a`

Compiler

Compiled 70 to 44 computations (37.1% saved)

bsearch109.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	1.5935884510974041e-6	2.9877389035524463e-6
88.0ms	-5.867049561934949e+46	-5.300444262964035e+44

Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes70.0ms (0.8%)

Accuracy

Total -27.5b remaining (-91%)

Threshold costs -27.5b (-91%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

5 calls:

24.0ms	t
16.0ms	a
11.0ms	z
10.0ms	y
7.0ms	x

Results

Error	Segments	Branch
31.5b	1	`x`
30.5b	2	`y`
30.2b	2	`z`
31.5b	1	`t`
30.4b	2	`a`

Compiler

Compiled 65 to 42 computations (35.4% saved)

bsearch28.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	-1.3398701131690427e-89	-3.92472695220709e-92

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64`
12×	`+-commutative_binary64`
12×	`sub-neg_binary64`
9×	`neg-sub0_binary64`
9×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	523
1	110	523
2	140	523
3	159	523
4	167	523
5	169	523

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -499999999999999980914845420907469931724617668138392575722702061727550202027827845338095855082297280184351144790266035545655630691827712) (-.f64 (.f64 y (/.f64 x a)) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 499999999999999990079578960260221425096554759926423605900012855280825179991269042612044308093073246922143074698610725186309660447719446848973826083227612667029686373206874073603221710445876270310293765181110136931503450775547995353849221420762954771236422294344040540188066309300289536) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (-.f64 (.f64 y (/.f64 x a)) (*.f64 t (/.f64 z a)))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -inf.0) (-.f64 (.f64 y (/.f64 x a)) (.f64 t (/.f64 z a))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 499999999999999990079578960260221425096554759926423605900012855280825179991269042612044308093073246922143074698610725186309660447719446848973826083227612667029686373206874073603221710445876270310293765181110136931503450775547995353849221420762954771236422294344040540188066309300289536) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (-.f64 (.f64 y (/.f64 x a)) (.f64 t (/.f64 z a)))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) -inf.0) (.f64 (/.f64 y a) x) (if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (.f64 (/.f64 y a) x)))
(if (<=.f64 (.f64 z t) -1048576000000000000/2097152) (/.f64 (.f64 z t) (neg.f64 a)) (if (<=.f64 (.f64 z t) 5164499756173817/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (/.f64 (.f64 y x) a) (if (<=.f64 (.f64 z t) 200000000000000003111883225893368604853640279384212286673954116086166756232951140652997077983009489535241256173568000) (/.f64 (.f64 z t) (neg.f64 a)) (/.f64 z (/.f64 a (neg.f64 t))))))
(if (<=.f64 y -5258619746035299/3450873173395281893717377931138512726225554486085193277581262111899648) (/.f64 y (/.f64 a x)) (if (<=.f64 y 1456246220093023/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 (neg.f64 t) (/.f64 z a)) (if (<=.f64 y 3673784581888517632/6277101735386680763835789423207666416102355444464034512896) (.f64 (/.f64 y a) x) (if (<=.f64 y 6314097876127619/79228162514264337593543950336) (*.f64 (neg.f64 t) (/.f64 z a)) (/.f64 y (/.f64 a x))))))
(if (<=.f64 y -5258619746035299/3450873173395281893717377931138512726225554486085193277581262111899648) (/.f64 y (/.f64 a x)) (if (<=.f64 y 1456246220093023/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 z (/.f64 a (neg.f64 t))) (if (<=.f64 y 3673784581888517632/6277101735386680763835789423207666416102355444464034512896) (.f64 (/.f64 y a) x) (if (<=.f64 y 6314097876127619/79228162514264337593543950336) (.f64 (neg.f64 z) (/.f64 t a)) (/.f64 y (/.f64 a x))))))
(if (<=.f64 y -5258619746035299/3450873173395281893717377931138512726225554486085193277581262111899648) (/.f64 y (/.f64 a x)) (if (<=.f64 y 1456246220093023/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 (neg.f64 z) (/.f64 t a)) (if (<=.f64 y 3673784581888517632/6277101735386680763835789423207666416102355444464034512896) (.f64 (/.f64 y a) x) (if (<=.f64 y 6314097876127619/79228162514264337593543950336) (*.f64 (neg.f64 z) (/.f64 t a)) (/.f64 y (/.f64 a x))))))
(if (<=.f64 a -58670495619349492086652027510871587854061928448) (.f64 (/.f64 y a) x) (if (<=.f64 a 4722366482869645/2361183241434822606848) (/.f64 (.f64 y x) a) (/.f64 y (/.f64 a x))))
(if (<=.f64 z -122919610006386400/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (*.f64 (/.f64 y a) x) (/.f64 y (/.f64 a x)))
(*.f64 (/.f64 y a) x)

Outputs
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -499999999999999980914845420907469931724617668138392575722702061727550202027827845338095855082297280184351144790266035545655630691827712) (-.f64 (.f64 y (/.f64 x a)) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 499999999999999990079578960260221425096554759926423605900012855280825179991269042612044308093073246922143074698610725186309660447719446848973826083227612667029686373206874073603221710445876270310293765181110136931503450775547995353849221420762954771236422294344040540188066309300289536) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (-.f64 (.f64 y (/.f64 x a)) (*.f64 t (/.f64 z a)))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -inf.0) (-.f64 (.f64 y (/.f64 x a)) (.f64 t (/.f64 z a))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 499999999999999990079578960260221425096554759926423605900012855280825179991269042612044308093073246922143074698610725186309660447719446848973826083227612667029686373206874073603221710445876270310293765181110136931503450775547995353849221420762954771236422294344040540188066309300289536) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (-.f64 (.f64 y (/.f64 x a)) (.f64 t (/.f64 z a)))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) -inf.0) (.f64 (/.f64 y a) x) (if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (.f64 (/.f64 y a) x)))
(if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) -inf.0) (.f64 x (/.f64 y a)) (if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (.f64 x (/.f64 y a))))
(if (<=.f64 (.f64 z t) -1048576000000000000/2097152) (/.f64 (.f64 z t) (neg.f64 a)) (if (<=.f64 (.f64 z t) 5164499756173817/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (/.f64 (.f64 y x) a) (if (<=.f64 (.f64 z t) 200000000000000003111883225893368604853640279384212286673954116086166756232951140652997077983009489535241256173568000) (/.f64 (.f64 z t) (neg.f64 a)) (/.f64 z (/.f64 a (neg.f64 t))))))
(if (<=.f64 (.f64 z t) -500000000000) (/.f64 (.f64 z t) (neg.f64 a)) (if (<=.f64 (.f64 z t) 5164499756173817/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (/.f64 (.f64 x y) a) (if (<=.f64 (.f64 z t) 200000000000000003111883225893368604853640279384212286673954116086166756232951140652997077983009489535241256173568000) (/.f64 (.f64 z t) (neg.f64 a)) (/.f64 z (/.f64 a (neg.f64 t))))))
(if (<=.f64 y -5258619746035299/3450873173395281893717377931138512726225554486085193277581262111899648) (/.f64 y (/.f64 a x)) (if (<=.f64 y 1456246220093023/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 (neg.f64 t) (/.f64 z a)) (if (<=.f64 y 3673784581888517632/6277101735386680763835789423207666416102355444464034512896) (.f64 (/.f64 y a) x) (if (<=.f64 y 6314097876127619/79228162514264337593543950336) (*.f64 (neg.f64 t) (/.f64 z a)) (/.f64 y (/.f64 a x))))))
(if (<=.f64 y -5258619746035299/3450873173395281893717377931138512726225554486085193277581262111899648) (/.f64 y (/.f64 a x)) (if (<=.f64 y 1456246220093023/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 (/.f64 z a) (neg.f64 t)) (if (<=.f64 y 7175360511501011/12259964326927110866866776217202473468949912977468817408) (.f64 x (/.f64 y a)) (if (<=.f64 y 6314097876127619/79228162514264337593543950336) (*.f64 (/.f64 z a) (neg.f64 t)) (/.f64 y (/.f64 a x))))))
(if (<=.f64 y -5258619746035299/3450873173395281893717377931138512726225554486085193277581262111899648) (/.f64 y (/.f64 a x)) (if (<=.f64 y 1456246220093023/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 t (neg.f64 (/.f64 z a))) (if (<=.f64 y 7175360511501011/12259964326927110866866776217202473468949912977468817408) (.f64 x (/.f64 y a)) (if (<=.f64 y 6314097876127619/79228162514264337593543950336) (*.f64 t (neg.f64 (/.f64 z a))) (/.f64 y (/.f64 a x))))))
(if (<=.f64 y -5258619746035299/3450873173395281893717377931138512726225554486085193277581262111899648) (/.f64 y (/.f64 a x)) (if (<=.f64 y 1456246220093023/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 t (/.f64 (neg.f64 z) a)) (if (<=.f64 y 7175360511501011/12259964326927110866866776217202473468949912977468817408) (.f64 x (/.f64 y a)) (if (<=.f64 y 6314097876127619/79228162514264337593543950336) (*.f64 t (/.f64 (neg.f64 z) a)) (/.f64 y (/.f64 a x))))))
(if (<=.f64 y -5258619746035299/3450873173395281893717377931138512726225554486085193277581262111899648) (/.f64 y (/.f64 a x)) (if (<=.f64 y 1456246220093023/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 z (/.f64 a (neg.f64 t))) (if (<=.f64 y 3673784581888517632/6277101735386680763835789423207666416102355444464034512896) (.f64 (/.f64 y a) x) (if (<=.f64 y 6314097876127619/79228162514264337593543950336) (.f64 (neg.f64 z) (/.f64 t a)) (/.f64 y (/.f64 a x))))))
(if (<=.f64 y -5258619746035299/3450873173395281893717377931138512726225554486085193277581262111899648) (/.f64 y (/.f64 a x)) (if (<=.f64 y 1456246220093023/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 z (/.f64 a (neg.f64 t))) (if (<=.f64 y 7175360511501011/12259964326927110866866776217202473468949912977468817408) (.f64 x (/.f64 y a)) (if (<=.f64 y 6314097876127619/79228162514264337593543950336) (.f64 (neg.f64 z) (/.f64 t a)) (/.f64 y (/.f64 a x))))))
(if (<=.f64 y -5258619746035299/3450873173395281893717377931138512726225554486085193277581262111899648) (/.f64 y (/.f64 a x)) (if (<=.f64 y 1456246220093023/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 (neg.f64 z) (/.f64 t a)) (if (<=.f64 y 3673784581888517632/6277101735386680763835789423207666416102355444464034512896) (.f64 (/.f64 y a) x) (if (<=.f64 y 6314097876127619/79228162514264337593543950336) (*.f64 (neg.f64 z) (/.f64 t a)) (/.f64 y (/.f64 a x))))))
(if (<=.f64 y -5258619746035299/3450873173395281893717377931138512726225554486085193277581262111899648) (/.f64 y (/.f64 a x)) (if (<=.f64 y 1456246220093023/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 (neg.f64 z) (/.f64 t a)) (if (<=.f64 y 7175360511501011/12259964326927110866866776217202473468949912977468817408) (.f64 x (/.f64 y a)) (if (<=.f64 y 6314097876127619/79228162514264337593543950336) (*.f64 (neg.f64 z) (/.f64 t a)) (/.f64 y (/.f64 a x))))))
(if (<=.f64 a -58670495619349492086652027510871587854061928448) (.f64 (/.f64 y a) x) (if (<=.f64 a 4722366482869645/2361183241434822606848) (/.f64 (.f64 y x) a) (/.f64 y (/.f64 a x))))
(if (<=.f64 a -58670495619349492086652027510871587854061928448) (.f64 x (/.f64 y a)) (if (<=.f64 a 4722366482869645/2361183241434822606848) (/.f64 (.f64 x y) a) (/.f64 y (/.f64 a x))))
(if (<=.f64 z -122919610006386400/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (*.f64 (/.f64 y a) x) (/.f64 y (/.f64 a x)))
(if (<=.f64 z -3841237812699575/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328) (*.f64 x (/.f64 y a)) (/.f64 y (/.f64 a x)))
(*.f64 (/.f64 y a) x)
(*.f64 x (/.f64 y a))

end131.0ms (1.5%)

Stop Event

1×

fuel

Compiler

Compiled 993 to 389 computations (60.8% saved)

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

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

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

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