Details

analyze513.0ms (2.8%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample2.8s (15.2%)

Results

2.0s	8256×	body	256	valid
695.0ms	3234×	body	256	infinite

Bogosity

preprocess129.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
0
2
3
2
4

Call 2

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

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

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify77.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

6.2b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.2b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 9 computations (71.9% saved)

series61.0ms (0.3%)

Counts

2 → 108

Calls

27 calls:

Time	Variable		Point	Expression
38.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
2.0ms	z	@	inf	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
2.0ms	y	@	0	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
1.0ms	x	@	0	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
1.0ms	a	@	0	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

rewrite219.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 234

Calls

Call 1

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

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

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

simplify146.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

342 → 246

Calls

Call 1

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

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

eval60.0ms (0.3%)

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

prune66.0ms (0.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	232	14	246
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	232	15	247

Error

Counts

247 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	8.7b	(-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t)))
▶	10.8b	(fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
	31.7b	(/.f64 (*.f64 y x) a)
	39.2b	(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 z t))) 1) (/.f64 (sqrt.f64 (-.f64 (.f64 x y) (*.f64 z t))) a))
▶	32.4b	(/.f64 (*.f64 t (neg.f64 z)) a)
	21.2b	(/.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x y) (.f64 z t)) 2)) (cbrt.f64 (-.f64 (.f64 x y) (*.f64 z t)))) a)
▶	7.2b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) 3)
▶	33.7b	(*.f64 y (/.f64 x a))
	30.5b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x y) (.f64 z t)) 3)) a)
✓	6.2b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
	32.6b	(*.f64 t (/.f64 (neg.f64 z) a))
	6.6b	(pow.f64 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))) -1)
	32.8b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) 2)
	10.3b	(fma.f64 (/.f64 y 1) (/.f64 x a) (neg.f64 (/.f64 z (/.f64 a t))))
▶	6.3b	(.f64 (/.f64 1 a) (-.f64 (.f64 x y) (*.f64 z t)))

Compiler

Compiled 470 to 305 computations (35.1% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 38 to 14 computations (63.2% saved)

series5.0ms (0%)

Counts

1 → 60

Calls

15 calls:

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

rewrite88.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 93

Calls

Call 1

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

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

simplify108.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

153 → 99

Calls

Call 1

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

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

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.0b	(*.f64 y (/.f64 x a))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series7.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

58 → 23

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.6b	(/.f64 (*.f64 t (neg.f64 z)) a)

Compiler

Compiled 20 to 8 computations (60% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite107.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

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

simplify48.0ms (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

77 → 43

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
✓	7.2b	(/.f64 y (/.f64 a x))
✓	7.5b	(/.f64 t (/.f64 a z))

Compiler

Compiled 39 to 12 computations (69.2% saved)

series11.0ms (0.1%)

Counts

3 → 132

Calls

33 calls:

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

rewrite107.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`log-prod_binary64`
359×	`prod-diff_binary64`
354×	`pow2_binary64`
250×	`pow1/3_binary64`
240×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	258	31
2	3710	30

Stop Event

1×	node limit

Counts

3 → 125

Calls

Call 1

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

Outputs

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simplify137.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	1416
1	47	1368
2	111	1224
3	222	1224
4	419	1224
5	898	1224
6	1788	1224
7	2809	1224
8	3057	1224
9	3095	1224
10	3100	1224

Stop Event

1×

saturated

Counts

257 → 133

Calls

Call 1

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (.f64 x y) (.f64 z t))
✓	0.7b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) 3)
✓	5.0b	(cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a))
	5.9b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

Compiler

Compiled 55 to 13 computations (76.4% saved)

series127.0ms (0.7%)

Counts

2 → 32

Calls

30 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) 3)
19.0ms	x	@	0	(cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a))
10.0ms	t	@	0	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) 3)
8.0ms	x	@	0	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) 3)
7.0ms	z	@	0	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) 3)

rewrite126.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

719×	`log-prod_binary64`
430×	`fma-def_binary64`
356×	`pow2_binary64`
244×	`pow1/3_binary64`
243×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	295	28
2	3811	28

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

Outputs

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simplify290.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

725×	`associate-r_binary64`
592×	`associate-l_binary64`
554×	`unswap-sqr_binary64`
431×	`fma-def_binary64`
429×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	411	7610
1	1465	6981
2	6423	6338

Stop Event

1×	node limit

Counts

141 → 159

Calls

Call 1

Inputs
(.f64 (pow.f64 (/.f64 (.f64 1 (*.f64 t z)) a) 1/3) (cbrt.f64 -1))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 a 7) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) 1/9) (.f64 (.f64 y x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (.f64 (pow.f64 (/.f64 (.f64 1 (*.f64 t z)) a) 1/3) (cbrt.f64 -1)))
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(.f64 (pow.f64 (/.f64 (.f64 1 (*.f64 t z)) a) 1/3) (cbrt.f64 -1))
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(pow.f64 (/.f64 (*.f64 y x) a) 1/3)
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(pow.f64 (/.f64 (*.f64 y x) a) 1/3)
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(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (*.f64 t z) a)))
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Outputs
(.f64 (pow.f64 (/.f64 (.f64 1 (*.f64 t z)) a) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 t (/.f64 a z))) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 (/.f64 t a) z)) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 t (/.f64 z a))) (cbrt.f64 -1))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 a 7) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) 1/9) (.f64 (.f64 y x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (.f64 (pow.f64 (/.f64 (.f64 1 (*.f64 t z)) a) 1/3) (cbrt.f64 -1)))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 7)) (.f64 (.f64 t t) (.f64 z z))) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 7)) (.f64 (.f64 t t) (.f64 z z))) 1/18)) (.f64 y (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (*.f64 (cbrt.f64 (/.f64 t (/.f64 a z))) (cbrt.f64 -1)))
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(.f64 (pow.f64 (/.f64 (.f64 1 (*.f64 t z)) a) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 t (/.f64 a z))) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 (/.f64 t a) z)) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 t (/.f64 z a))) (cbrt.f64 -1))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 a 7) (.f64 (pow.f64 t 2) (pow.f64 z 2)))) 1/9) (.f64 (.f64 y x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (.f64 (pow.f64 (/.f64 (.f64 1 (*.f64 t z)) a) 1/3) (cbrt.f64 -1)))
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(.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18))) 1/3))) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18)) (.f64 z (.f64 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18))) 1/3)))))))))))))))
(fma.f64 (.f64 t t) (fma.f64 2/9 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 z z))) (fma.f64 (cbrt.f64 (/.f64 (.f64 y x) a)) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 z z))) (.f64 1/3 (cbrt.f64 (/.f64 a (.f64 y x))))) (fma.f64 1/9 (.f64 z (.f64 z (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 4)) (.f64 (pow.f64 a 14) (pow.f64 x 4))) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 4)) (.f64 (pow.f64 a 14) (pow.f64 x 4))) 1/18)))) (.f64 (cbrt.f64 (/.f64 a (.f64 y x))) (.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 z z)))) 1/3)))) (.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 z z)))) 1/3))) (fma.f64 t (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 a 13) (pow.f64 x 4))) 1/18) (pow.f64 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 a 13) (pow.f64 x 4))) 1/18)) (.f64 z -1)) (fma.f64 (pow.f64 t 3) (fma.f64 (cbrt.f64 (/.f64 (.f64 y x) a)) (fma.f64 -2/3 (.f64 (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 z z))) (.f64 1/3 (.f64 (.f64 z (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18)) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18)))) (fma.f64 2/9 (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 z z))) (.f64 1/3 z)) (+.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18)) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18)))) (.f64 (.f64 -1/27 (pow.f64 z 3)) (cbrt.f64 (/.f64 (/.f64 (/.f64 1 (.f64 y y)) (pow.f64 a 7)) (.f64 x x)))))) (cbrt.f64 (/.f64 a (.f64 y x)))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 z z))) (.f64 1/3 (.f64 z (.f64 (pow.f64 (/.f64 1 (.f64 a (.f64 (pow.f64 y 8) (pow.f64 x 8)))) 1/18) (pow.f64 (/.f64 1 (.f64 a (.f64 (pow.f64 y 8) (pow.f64 x 8)))) 1/18))))) 2/9)) (fma.f64 -1/3 (.f64 (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 z z))) (.f64 1/3 (cbrt.f64 (/.f64 a (.f64 y x))))) (fma.f64 1/9 (.f64 z (.f64 z (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 4)) (.f64 (pow.f64 a 14) (pow.f64 x 4))) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 4)) (.f64 (pow.f64 a 14) (pow.f64 x 4))) 1/18)))) (.f64 (cbrt.f64 (/.f64 a (.f64 y x))) (.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 z z)))) 1/3)))) (.f64 (.f64 z (pow.f64 (/.f64 (/.f64 (/.f64 1 (.f64 y y)) (pow.f64 a 7)) (.f64 x x)) 1/18)) (pow.f64 (/.f64 (/.f64 (/.f64 1 (.f64 y y)) (pow.f64 a 7)) (.f64 x x)) 1/18))) (fma.f64 -1/3 (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 z z))) (.f64 1/3 (.f64 (.f64 z (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18)) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18)))) (fma.f64 2/9 (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 z z))) (.f64 1/3 z)) (+.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18)) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18)))) (.f64 (.f64 -1/27 (pow.f64 z 3)) (cbrt.f64 (/.f64 (/.f64 (/.f64 1 (.f64 y y)) (pow.f64 a 7)) (.f64 x x)))))) (.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 z z))) (.f64 1/3 (.f64 (.f64 z (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18)) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18)))))))) (/.f64 (.f64 y x) a))))
(fma.f64 (.f64 t t) (fma.f64 2/9 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 z z))) (fma.f64 (cbrt.f64 (/.f64 (.f64 y x) a)) (+.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 4)) (.f64 (pow.f64 a 14) (pow.f64 x 4))) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 4)) (.f64 (pow.f64 a 14) (pow.f64 x 4))) 1/18)) (.f64 (.f64 z z) 1/9)) (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 z z))) (.f64 1/3 (cbrt.f64 (/.f64 a (.f64 y x))))) -2/3)) (.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 z z)))) 1/3))) (fma.f64 t (neg.f64 (.f64 z (.f64 (pow.f64 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 a 13) (pow.f64 x 4))) 1/18) (pow.f64 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 a 13) (pow.f64 x 4))) 1/18)))) (fma.f64 (pow.f64 t 3) (fma.f64 (cbrt.f64 (/.f64 (.f64 y x) a)) (fma.f64 1/9 (.f64 (.f64 z (.f64 (pow.f64 (/.f64 1 (.f64 a (.f64 (pow.f64 y 8) (pow.f64 x 8)))) 1/18) (pow.f64 (/.f64 1 (.f64 a (.f64 (pow.f64 y 8) (pow.f64 x 8)))) 1/18))) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 z z))) 2/3)) (.f64 (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 z z))) (.f64 1/3 (.f64 (.f64 z (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18)) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18)))) (fma.f64 -1/27 (.f64 (pow.f64 z 3) (cbrt.f64 (/.f64 (/.f64 (/.f64 1 (.f64 y y)) (pow.f64 a 7)) (.f64 x x)))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 z z))) (.f64 1/3 (.f64 (.f64 z (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18)) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18)))) 4/9))) (.f64 -2/3 (cbrt.f64 (/.f64 a (.f64 y x)))))) (fma.f64 -1/3 (.f64 (+.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 4)) (.f64 (pow.f64 a 14) (pow.f64 x 4))) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 4)) (.f64 (pow.f64 a 14) (pow.f64 x 4))) 1/18)) (.f64 (.f64 z z) 1/9)) (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 z z))) (.f64 1/3 (cbrt.f64 (/.f64 a (.f64 y x))))) -2/3)) (.f64 (.f64 z (pow.f64 (/.f64 (/.f64 (/.f64 1 (.f64 y y)) (pow.f64 a 7)) (.f64 x x)) 1/18)) (pow.f64 (/.f64 (/.f64 (/.f64 1 (.f64 y y)) (pow.f64 a 7)) (.f64 x x)) 1/18))) (fma.f64 -1/3 (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 z z))) (.f64 1/3 (.f64 (.f64 z (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18)) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18)))) (fma.f64 -1/27 (.f64 (pow.f64 z 3) (cbrt.f64 (/.f64 (/.f64 (/.f64 1 (.f64 y y)) (pow.f64 a 7)) (.f64 x x)))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 z z))) (.f64 1/3 (.f64 (.f64 z (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18)) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18)))) 4/9))) (.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (.f64 y x)) 1/18) (.f64 z z))) (.f64 1/3 (.f64 (.f64 z (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18)) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 5)) (.f64 (pow.f64 a 4) (pow.f64 x 5))) 1/18)))))))) (/.f64 (*.f64 y x) a))))

eval1.1s (5.8%)

Compiler: Compiled 25496 to 11320 computations (55.6% saved)

prune425.0ms (2.3%)

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	871	12	883
Fresh	7	2	9
Picked	1	0	1
Done	1	4	5
Total	880	18	898

Error

Counts

898 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	7.8b	(fma.f64 -1 (/.f64 t (/.f64 a z)) (*.f64 (/.f64 1 a) (/.f64 y (/.f64 1 x))))
▶	6.6b	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
▶	33.3b	(neg.f64 (*.f64 (/.f64 t a) z))
✓	6.2b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
▶	32.5b	(*.f64 x (/.f64 y a))
	33.9b	(/.f64 y (/.f64 a x))
	32.8b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)) 2)
✓	32.4b	(/.f64 (*.f64 t (neg.f64 z)) a)
	8.7b	(-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t)))
	32.6b	(*.f64 t (/.f64 (neg.f64 z) a))
	31.7b	(/.f64 (*.f64 y x) a)
▶	32.4b	(.f64 (/.f64 1 a) (.f64 t (neg.f64 z)))
✓	33.7b	(*.f64 y (/.f64 x a))
	31.8b	(.f64 (/.f64 1 a) (.f64 y x))
	32.1b	(pow.f64 (cbrt.f64 (/.f64 (*.f64 y x) a)) 3)
	31.5b	(/.f64 (-.f64 (.f64 (.f64 x y) a) (.f64 a (.f64 z t))) (*.f64 a a))
▶	10.3b	(fma.f64 (/.f64 y 1) (/.f64 x a) (neg.f64 (/.f64 z (/.f64 a t))))
✓	6.3b	(.f64 (/.f64 1 a) (-.f64 (.f64 x y) (*.f64 z t)))

Compiler

Compiled 447 to 311 computations (30.4% saved)

localize24.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (.f64 x y) (.f64 z t))
✓	0.6b	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
✓	5.8b	(/.f64 a (-.f64 (.f64 x y) (.f64 z t)))

Compiler

Compiled 44 to 12 computations (72.7% saved)

series25.0ms (0.1%)

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

rewrite114.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	265	26
2	3625	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

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

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

962×	`associate-/r*_binary64`
745×	`associate-r_binary64`
545×	`associate-l_binary64`
452×	`fma-def_binary64`
379×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	83	3024
1	325	2892
2	1674	2856

Stop Event

1×	node limit

Counts

257 → 163

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.8b	(*.f64 x (/.f64 y a))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite57.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

58 → 24

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 8 computations (63.6% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite63.0ms (0.3%)

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.6b	(.f64 (/.f64 1 a) (.f64 t (neg.f64 z)))

Compiler

Compiled 26 to 13 computations (50% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify28.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

62 → 28

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.8b	(fma.f64 (/.f64 y 1) (/.f64 x a) (neg.f64 (/.f64 z (/.f64 a t))))
✓	6.6b	(/.f64 z (/.f64 a t))

Compiler

Compiled 44 to 15 computations (65.9% saved)

series22.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	(fma.f64 (/.f64 y 1) (/.f64 x a) (neg.f64 (/.f64 z (/.f64 a t))))
3.0ms	z	@	-inf	(fma.f64 (/.f64 y 1) (/.f64 x a) (neg.f64 (/.f64 z (/.f64 a t))))
1.0ms	a	@	-inf	(fma.f64 (/.f64 y 1) (/.f64 x a) (neg.f64 (/.f64 z (/.f64 a t))))
1.0ms	x	@	-inf	(fma.f64 (/.f64 y 1) (/.f64 x a) (neg.f64 (/.f64 z (/.f64 a t))))
1.0ms	a	@	0	(fma.f64 (/.f64 y 1) (/.f64 x a) (neg.f64 (/.f64 z (/.f64 a t))))

rewrite166.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 432

Calls

Call 1

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

Outputs

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

simplify143.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

528 → 440

Calls

Call 1

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

eval420.0ms (2.3%)

Compiler: Compiled 24959 to 7234 computations (71% saved)

prune258.0ms (1.4%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	853	6	859
Fresh	5	4	9
Picked	1	0	1
Done	1	7	8
Total	860	17	877

Error

Counts

877 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.1b	(neg.f64 (/.f64 z (/.f64 a t)))
✓	33.7b	(*.f64 y (/.f64 x a))
✓	33.3b	(neg.f64 (*.f64 (/.f64 t a) z))
✓	6.2b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
✓	32.5b	(*.f64 x (/.f64 y a))
	33.9b	(/.f64 y (/.f64 a x))
✓	32.4b	(/.f64 (*.f64 t (neg.f64 z)) a)
▶	32.1b	(/.f64 x (/.f64 a y))
▶	32.2b	(/.f64 1 (/.f64 (/.f64 a y) x))
	50.1b	(neg.f64 (/.f64 (/.f64 (*.f64 t z) (sqrt.f64 a)) (sqrt.f64 a)))
	32.6b	(*.f64 t (/.f64 (neg.f64 z) a))
▶	31.7b	(/.f64 (*.f64 y x) a)
✓	32.4b	(.f64 (/.f64 1 a) (.f64 t (neg.f64 z)))
	32.8b	(neg.f64 (/.f64 t (/.f64 a z)))
	32.1b	(pow.f64 (cbrt.f64 (/.f64 (*.f64 y x) a)) 3)
▶	31.5b	(/.f64 (-.f64 (.f64 (.f64 x y) a) (.f64 a (.f64 z t))) (*.f64 a a))
✓	6.3b	(.f64 (/.f64 1 a) (-.f64 (.f64 x y) (*.f64 z t)))

Compiler

Compiled 331 to 232 computations (29.9% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(-.f64 (.f64 (.f64 x y) a) (.f64 a (.f64 z t)))
✓	3.1b	(.f64 (.f64 x y) a)
✓	3.2b	(.f64 a (.f64 z t))
✓	30.3b	(/.f64 (-.f64 (.f64 (.f64 x y) a) (.f64 a (.f64 z t))) (*.f64 a a))

Compiler

Compiled 55 to 12 computations (78.2% saved)

series39.0ms (0.2%)

Counts

4 → 192

Calls

48 calls:

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

rewrite176.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

893×	`log-prod_binary64`
550×	`fma-def_binary64`
292×	`fma-neg_binary64`
269×	`expm1-udef_binary64`
269×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	293	46
2	4335	46

Stop Event

1×	node limit

Counts

4 → 310

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (.f64 y a)) (pow.f64 a -2)) (neg.f64 (/.f64 (.f64 z t) (/.f64 (.f64 a a) a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) (pow.f64 a -2)))) (cbrt.f64 (exp.f64 (.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) (pow.f64 a -2)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) (pow.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) (pow.f64 a -2))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) (pow.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 x (.f64 y a)) (pow.f64 a -2)) (/.f64 (.f64 z t) (/.f64 (.f64 a a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) (pow.f64 a -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) (pow.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) (pow.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t)))) 2) (.f64 (cbrt.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t)))) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) (pow.f64 a -2))) (cbrt.f64 (/.f64 (pow.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) 2) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) 2) (pow.f64 a 4))) (cbrt.f64 (.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t)))) (.f64 (sqrt.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t)))) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t)))) a) (/.f64 (sqrt.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t)))) (/.f64 1 (.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 a -2) (.f64 a (-.f64 (.f64 x y) (.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) a) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (/.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 a 4))) (/.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t)))) 2) 1) (/.f64 (cbrt.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t)))) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t)))) 1) (/.f64 (sqrt.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t)))) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t)))) 2) a) (/.f64 (cbrt.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t)))) 2) (cbrt.f64 (pow.f64 a 4))) (cbrt.f64 (.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (pow.f64 a 4))) (/.f64 (sqrt.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t)))) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) (pow.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) (pow.f64 a -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) (pow.f64 a -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t)))) a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 a a) (.f64 a (-.f64 (.f64 x y) (.f64 z t)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) (.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) 2) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) (pow.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) (pow.f64 a -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) 3) (pow.f64 (.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 a (-.f64 (.f64 x y) (.f64 z t))) (pow.f64 a -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (.f64 y a)) (pow.f64 a -2) (neg.f64 (/.f64 (.f64 z t) (/.f64 (.f64 a a) a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (.f64 x (.f64 y a)) (pow.f64 a -2)) (neg.f64 (/.f64 (.f64 z t) (/.f64 (.f64 a a) a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 (.f64 x (.f64 y a)) (pow.f64 a -2))) (cbrt.f64 (.f64 (.f64 x (.f64 y a)) (pow.f64 a -2)))) (cbrt.f64 (.f64 (.f64 x (.f64 y a)) (pow.f64 a -2))) (neg.f64 (/.f64 (.f64 z t) (/.f64 (.f64 a a) a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (.f64 x (.f64 y a)) (pow.f64 a -2))) (sqrt.f64 (.f64 (.f64 x (.f64 y a)) (pow.f64 a -2))) (neg.f64 (/.f64 (.f64 z t) (/.f64 (.f64 a a) a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 a a) (/.f64 (.f64 x y) a) (neg.f64 (/.f64 (.f64 z t) (/.f64 (.f64 a a) a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 a) (/.f64 (.f64 x (.f64 y a)) a) (neg.f64 (/.f64 (.f64 z t) (/.f64 (.f64 a a) a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 a 1) (/.f64 (.f64 x y) (.f64 a a)) (neg.f64 (/.f64 (.f64 z t) (/.f64 (.f64 a a) a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 a (cbrt.f64 (pow.f64 a 4))) (/.f64 (.f64 x y) (pow.f64 (cbrt.f64 a) 2)) (neg.f64 (/.f64 (.f64 z t) (/.f64 (.f64 a a) a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 a 4))) (/.f64 (.f64 x (.f64 y a)) (pow.f64 (cbrt.f64 a) 2)) (neg.f64 (/.f64 (.f64 z t) (/.f64 (.f64 a a) a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x a) (/.f64 (.f64 y a) a) (neg.f64 (/.f64 (.f64 z t) (/.f64 (.f64 a a) a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (.f64 x y) a) (/.f64 a a) (neg.f64 (/.f64 (.f64 z t) (/.f64 (.f64 a a) a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 y a))) 2) a) (/.f64 (cbrt.f64 (.f64 x (.f64 y a))) a) (neg.f64 (/.f64 (.f64 z t) (/.f64 (.f64 a a) a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (.f64 x (.f64 y a))) a) (/.f64 (sqrt.f64 (.f64 x (.f64 y a))) a) (neg.f64 (/.f64 (.f64 z t) (/.f64 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x (.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 a) (pow.f64 (cbrt.f64 (.f64 z t)) 2)) (cbrt.f64 (.f64 z t)) (.f64 x (.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 a) (sqrt.f64 (.f64 z t))) (sqrt.f64 (.f64 z t)) (.f64 x (.f64 y a)))))))

simplify275.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1140×	`fma-def_binary64`
699×	`fma-neg_binary64`
608×	`div-sub_binary64`
472×	`unsub-neg_binary64`
447×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	2328
1	95	1944
2	250	1944
3	670	1944
4	1446	1944
5	3379	1944
6	5044	1944
7	6532	1944
8	7133	1944
9	7273	1944
10	7351	1944

Stop Event

1×	node limit

Counts

502 → 330

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 7 computations (56.3% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite88.0ms (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 x (/.f64 a y))

Outputs

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

simplify132.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

77 → 42

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.0b	(/.f64 (*.f64 y x) a)

Compiler

Compiled 16 to 7 computations (56.3% saved)

series4.0ms (0%)

Counts

1 → 0

Calls

9 calls:

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

rewrite224.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

41 → 41

Calls

Call 1

Inputs

Outputs

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	6.6b	(/.f64 z (/.f64 a t))

Compiler

Compiled 22 to 8 computations (63.6% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1 (/.f64 (/.f64 a y) x))
✓	6.5b	(/.f64 (/.f64 a y) x)

Compiler

Compiled 24 to 10 computations (58.3% saved)

series8.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 (/.f64 a y) x)
1.0ms	a	@	0	(/.f64 (/.f64 a y) x)
1.0ms	a	@	-inf	(/.f64 (/.f64 a y) x)
1.0ms	a	@	inf	(/.f64 (/.f64 a y) x)
0.0ms	x	@	-inf	(/.f64 (/.f64 a y) x)

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

946×	`pow1_binary64`
878×	`add-log-exp_binary64`
878×	`log1p-expm1-u_binary64`
878×	`expm1-log1p-u_binary64`
87×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	172	14
2	2425	14

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

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

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	504
1	12	504
2	16	504
3	19	504
4	20	504

Stop Event

1×

saturated

Counts

155 → 86

Calls

Call 1

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

eval122.0ms (0.7%)

Compiler: Compiled 11015 to 2515 computations (77.2% saved)

prune107.0ms (0.6%)

Pruning

18 alts after pruning (7 fresh and 11 done)

	Pruned	Kept	Total
New	564	2	566
Fresh	0	5	5
Picked	0	1	1
Done	1	10	11
Total	565	18	583

Error

Counts

583 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.1b	(neg.f64 (/.f64 z (/.f64 a t)))
✓	33.7b	(*.f64 y (/.f64 x a))
✓	33.3b	(neg.f64 (*.f64 (/.f64 t a) z))
✓	6.2b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
✓	32.5b	(*.f64 x (/.f64 y a))
	33.9b	(/.f64 y (/.f64 a x))
	34.0b	(*.f64 y (/.f64 1 (/.f64 a x)))
✓	32.4b	(/.f64 (*.f64 t (neg.f64 z)) a)
✓	32.1b	(/.f64 x (/.f64 a y))
✓	32.2b	(/.f64 1 (/.f64 (/.f64 a y) x))
	50.1b	(neg.f64 (/.f64 (/.f64 (*.f64 t z) (sqrt.f64 a)) (sqrt.f64 a)))
	32.6b	(*.f64 t (/.f64 (neg.f64 z) a))
✓	31.7b	(/.f64 (*.f64 y x) a)
✓	32.4b	(.f64 (/.f64 1 a) (.f64 t (neg.f64 z)))
	32.8b	(neg.f64 (/.f64 t (/.f64 a z)))
	45.8b	(/.f64 (.f64 t (.f64 z (neg.f64 a))) (*.f64 a a))
	32.1b	(pow.f64 (cbrt.f64 (/.f64 (*.f64 y x) a)) 3)
✓	6.3b	(.f64 (/.f64 1 a) (-.f64 (.f64 x y) (*.f64 z t)))

Compiler

Compiled 215 to 153 computations (28.8% saved)

regimes616.0ms (3.3%)

Counts

35 → 3

Calls

Call 1

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

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

Calls

13 calls:

62.0ms	t
52.0ms	a
50.0ms	z
48.0ms	y
47.0ms	x

Results

Error	Segments	Branch
5.2b	2	`x`
4.6b	3	`y`
4.7b	2	`z`
3.5b	4	`t`
5.0b	2	`a`
0.5b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) 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))`
3.2b	3	`(*.f64 x y)`
3.2b	3	`(*.f64 x y)`
2.7b	3	`(*.f64 z t)`
2.7b	3	`(*.f64 z t)`

Compiler

Compiled 445 to 188 computations (57.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.790036605016849e+225	1.211563547294757e+231
0.0ms	-7.080026451140109e+258	-1.6537118533089325e+258

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes428.0ms (2.3%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

12 calls:

54.0ms	y
47.0ms	t
36.0ms	a
36.0ms	z
35.0ms	(*.f64 x y)

Results

Error	Segments	Branch
5.2b	2	`x`
4.0b	5	`y`
4.9b	2	`z`
3.5b	4	`t`
5.0b	2	`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))`
3.2b	3	`(*.f64 x y)`
3.2b	3	`(*.f64 x y)`
2.7b	3	`(*.f64 z t)`
2.7b	3	`(*.f64 z t)`

Compiler

Compiled 294 to 137 computations (53.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.472189441278353e+256	9.64702758072514e+260
0.0ms	-5.165059386495103e+237	-1.0360793622963238e+233

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes270.0ms (1.5%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

12 calls:

29.0ms	(-.f64 (.f64 x y) (.f64 z t))
29.0ms	z
26.0ms	(*.f64 x y)
26.0ms	(-.f64 (.f64 x y) (.f64 z t))
26.0ms	(*.f64 x y)

Results

Error	Segments	Branch
6.2b	1	`x`
6.2b	1	`y`
5.2b	3	`z`
5.0b	2	`t`
6.2b	1	`a`
3.2b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)`
3.2b	3	`(-.f64 (.f64 x y) (.f64 z t))`
3.2b	3	`(-.f64 (.f64 x y) (.f64 z t))`
3.5b	3	`(*.f64 x y)`
3.5b	3	`(*.f64 x y)`
3.2b	3	`(*.f64 z t)`
3.2b	3	`(*.f64 z t)`

Compiler

Compiled 235 to 127 computations (46% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
1.0ms	4.699183438719192e+307	+inf
0.0ms	-inf	-1.3723521260707128e+305

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes587.0ms (3.2%)

Counts

17 → 9

Calls

Call 1

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

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

Calls

5 calls:

272.0ms	y
99.0ms	x
89.0ms	a
79.0ms	t
43.0ms	z

Results

Error	Segments	Branch
17.9b	7	`x`
17.1b	9	`y`
19.7b	3	`z`
18.4b	6	`t`
21.8b	11	`a`

Compiler

Compiled 135 to 66 computations (51.1% saved)

bsearch758.0ms (4.1%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
72.0ms	3.0096072439253325e+193	1.8812882882098876e+195
63.0ms	4.323597309275441e+178	6.911618757921676e+180
243.0ms	4.876949395196161e+26	2.3941451783800908e+29
181.0ms	1014.2850932573191	10196.680041329233
30.0ms	1.4966695555810058e-43	1.5882623043967852e-40
48.0ms	4.654860014590911e-111	8.513697427155745e-110
87.0ms	1.3869408782080185e-167	2.29792086313592e-162
32.0ms	-2.776284482269552e-94	-4.475301177669938e-95

Compiler

Compiled 544 to 406 computations (25.4% saved)

regimes469.0ms (2.5%)

Counts

16 → 9

Calls

Call 1

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

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

Calls

5 calls:

160.0ms	a
89.0ms	y
83.0ms	z
76.0ms	t
56.0ms	x

Results

Error	Segments	Branch
17.9b	7	`x`
17.1b	9	`y`
19.7b	3	`z`
18.4b	6	`t`
21.8b	11	`a`

Compiler

Compiled 127 to 63 computations (50.4% saved)

bsearch480.0ms (2.6%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
67.0ms	3.0096072439253325e+193	1.8812882882098876e+195
89.0ms	4.323597309275441e+178	6.911618757921676e+180
212.0ms	4.876949395196161e+26	2.3941451783800908e+29
22.0ms	1014.2850932573191	10196.680041329233
23.0ms	1.4966695555810058e-43	1.5882623043967852e-40
22.0ms	4.654860014590911e-111	8.513697427155745e-110
25.0ms	1.3869408782080185e-167	2.29792086313592e-162
21.0ms	-2.776284482269552e-94	-4.475301177669938e-95

Compiler

Compiled 528 to 390 computations (26.1% saved)

regimes384.0ms (2.1%)

Counts

15 → 9

Calls

Call 1

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

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

Calls

5 calls:

170.0ms	a
71.0ms	y
64.0ms	x
50.0ms	t
25.0ms	z

Results

Error	Segments	Branch
17.9b	7	`x`
17.1b	9	`y`
19.7b	3	`z`
18.4b	6	`t`
21.8b	11	`a`

Compiler

Compiled 120 to 60 computations (50% saved)

bsearch831.0ms (4.5%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
124.0ms	3.0096072439253325e+193	1.8812882882098876e+195
85.0ms	4.323597309275441e+178	6.911618757921676e+180
348.0ms	4.876949395196161e+26	2.3941451783800908e+29
61.0ms	1014.2850932573191	10196.680041329233
74.0ms	1.4966695555810058e-43	1.5882623043967852e-40
35.0ms	4.654860014590911e-111	8.513697427155745e-110
82.0ms	1.3869408782080185e-167	2.29792086313592e-162
21.0ms	-2.776284482269552e-94	-4.475301177669938e-95

Compiler

Compiled 528 to 390 computations (26.1% saved)

regimes928.0ms (5%)

Counts

11 → 9

Calls

Call 1

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

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

Calls

5 calls:

458.0ms	y
266.0ms	a
78.0ms	t
76.0ms	x
44.0ms	z

Results

Error	Segments	Branch
18.4b	6	`x`
17.1b	9	`y`
19.7b	3	`z`
18.4b	6	`t`
23.4b	9	`a`

Compiler

Compiled 94 to 52 computations (44.7% saved)

bsearch577.0ms (3.1%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
54.0ms	3.0096072439253325e+193	1.8812882882098876e+195
53.0ms	4.323597309275441e+178	6.911618757921676e+180
245.0ms	4.876949395196161e+26	2.3941451783800908e+29
40.0ms	1014.2850932573191	10196.680041329233
71.0ms	1.4966695555810058e-43	1.5882623043967852e-40
35.0ms	4.654860014590911e-111	8.513697427155745e-110
42.0ms	1.3869408782080185e-167	2.29792086313592e-162
36.0ms	-2.776284482269552e-94	-4.475301177669938e-95

Compiler

Compiled 528 to 390 computations (26.1% saved)

regimes199.0ms (1.1%)

Counts

10 → 9

Calls

Call 1

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

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

Calls

5 calls:

58.0ms	a
50.0ms	y
41.0ms	t
30.0ms	x
18.0ms	z

Results

Error	Segments	Branch
19.6b	5	`x`
17.1b	9	`y`
19.7b	3	`z`
18.4b	6	`t`
23.4b	9	`a`

Compiler

Compiled 88 to 49 computations (44.3% saved)

bsearch416.0ms (2.3%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
44.0ms	3.0096072439253325e+193	1.8812882882098876e+195
88.0ms	4.323597309275441e+178	6.911618757921676e+180
180.0ms	4.876949395196161e+26	2.3941451783800908e+29
21.0ms	1014.2850932573191	10196.680041329233
20.0ms	1.4966695555810058e-43	1.5882623043967852e-40
20.0ms	4.654860014590911e-111	8.513697427155745e-110
21.0ms	1.3869408782080185e-167	2.29792086313592e-162
21.0ms	-2.776284482269552e-94	-4.475301177669938e-95

Compiler

Compiled 528 to 390 computations (26.1% saved)

regimes206.0ms (1.1%)

Counts

9 → 9

Calls

Call 1

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

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

Calls

5 calls:

78.0ms	a
51.0ms	y
32.0ms	t
26.0ms	x
16.0ms	z

Results

Error	Segments	Branch
19.6b	5	`x`
17.2b	9	`y`
19.7b	3	`z`
18.4b	6	`t`
23.4b	9	`a`

Compiler

Compiled 82 to 46 computations (43.9% saved)

bsearch476.0ms (2.6%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
64.0ms	3.0096072439253325e+193	1.8812882882098876e+195
49.0ms	4.323597309275441e+178	6.911618757921676e+180
150.0ms	4.876949395196161e+26	2.3941451783800908e+29
20.0ms	1014.2850932573191	10196.680041329233
85.0ms	1.4966695555810058e-43	1.5882623043967852e-40
20.0ms	4.654860014590911e-111	8.513697427155745e-110
21.0ms	1.3869408782080185e-167	2.29792086313592e-162
66.0ms	-2.776284482269552e-94	-4.475301177669938e-95

Compiler

Compiled 528 to 390 computations (26.1% saved)

regimes150.0ms (0.8%)

Counts

8 → 9

Calls

Call 1

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

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

Calls

5 calls:

47.0ms	y
40.0ms	a
25.0ms	t
20.0ms	x
16.0ms	z

Results

Error	Segments	Branch
21.0b	3	`x`
18.5b	9	`y`
21.1b	3	`z`
19.5b	5	`t`
25.2b	7	`a`

Compiler

Compiled 76 to 43 computations (43.4% saved)

bsearch355.0ms (1.9%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
44.0ms	3.0096072439253325e+193	1.8812882882098876e+195
51.0ms	4.323597309275441e+178	6.911618757921676e+180
151.0ms	4.876949395196161e+26	2.3941451783800908e+29
23.0ms	1014.2850932573191	10196.680041329233
23.0ms	1.4966695555810058e-43	1.5882623043967852e-40
21.0ms	4.654860014590911e-111	8.513697427155745e-110
20.0ms	1.3869408782080185e-167	2.29792086313592e-162
20.0ms	-2.776284482269552e-94	-4.475301177669938e-95

Compiler

Compiled 528 to 390 computations (26.1% saved)

regimes35.0ms (0.2%)

Accuracy

Total -9.8b remaining (-32.3%)

Threshold costs -9.8b (-32.3%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

5 calls:

10.0ms	t
6.0ms	y
5.0ms	x
5.0ms	z
5.0ms	a

Results

Error	Segments	Branch
31.7b	1	`x`
31.7b	1	`y`
31.7b	1	`z`
30.5b	2	`t`
31.7b	1	`a`

Compiler

Compiled 70 to 40 computations (42.9% saved)

bsearch20.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	8.953073066034683e-202	2.1315794462257448e-201

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
14×	`+-commutative_binary64`
14×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
14×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	1088
1	143	1088
2	178	1088
3	205	1086
4	219	1086
5	224	1086
6	225	1086

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -4999999999999999643869202601833787684383696604057883061158907403507350476772637470038731707205691382212371948847737817627161465582505612835893571796906113885524272303729023396898222485216041336918158235836889309742729449874044809349717855383877140544617447424) (fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 4999999999999999806650364166569307079328006902236455361130094053449438966813366112409962773319310362938839305792582281514490199870276609421048348021393177515819351843764207529142392373556426924143927678468362216346247556497408) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (fma.f64 -1 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) -5000000000000000243237986643632505202424076549985527579867655198709325563678867350395951502785064455265869472944416071214292298582754854311598233227483074357337160490771542905278506610019687651036675311822945811815559589454503326152392704) (-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z t)) 100000000000000003012765990014054250289048653977469512883210797990327413337764623282111235626914576356824384301717278281796693413668637734468849950199557199862786645617442138002603970565622955602242159302695103782881413524028531199164294124641763973461442560) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) (-.f64 (/.f64 x (/.f64 a y)) (/.f64 z (/.f64 a t)))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) -inf.0) (.f64 t (/.f64 (neg.f64 z) a)) (if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a) 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168) (/.f64 (-.f64 (.f64 x y) (*.f64 z t)) a) (neg.f64 (/.f64 t (/.f64 a z)))))
(if (<=.f64 y -2608088931401699/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (/.f64 y (/.f64 a x)) (if (<=.f64 y 115102655344833/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) (.f64 t (/.f64 (neg.f64 z) a)) (if (<=.f64 y 6301947896890133/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (.f64 (/.f64 1 a) (.f64 y x)) (if (<=.f64 y 7515797651710355/50216813883093446110686315385661331328818843555712276103168) (/.f64 (.f64 t (neg.f64 z)) a) (if (<=.f64 y 8921746031330295/8796093022208) (.f64 x (/.f64 y a)) (if (<=.f64 y 235000000000000008895011487744) (.f64 (/.f64 1 a) (.f64 t (neg.f64 z))) (if (<=.f64 y 44999999999999996961018776685947108006985891471755530103911075632631318535485047752989208933209914889100437539207166220326961547335768450832876074229505980912957864732346873282560) (/.f64 x (/.f64 a y)) (if (<=.f64 y 1850000000000000002979191358080840996406171618370575987181358245210929918796032366946190016287316236191145559331755948975237875605619967826028510343126088416302201577163266584020379336106345234432) (neg.f64 (.f64 (/.f64 t a) z)) (/.f64 x (/.f64 a y))))))))))
(if (<=.f64 y -2608088931401699/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (/.f64 y (/.f64 a x)) (if (<=.f64 y 115102655344833/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) (.f64 t (/.f64 (neg.f64 z) a)) (if (<=.f64 y 6301947896890133/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (.f64 (/.f64 1 a) (.f64 y x)) (if (<=.f64 y 7515797651710355/50216813883093446110686315385661331328818843555712276103168) (/.f64 (.f64 t (neg.f64 z)) a) (if (<=.f64 y 8921746031330295/8796093022208) (.f64 x (/.f64 y a)) (if (<=.f64 y 235000000000000008895011487744) (neg.f64 (/.f64 z (/.f64 a t))) (if (<=.f64 y 44999999999999996961018776685947108006985891471755530103911075632631318535485047752989208933209914889100437539207166220326961547335768450832876074229505980912957864732346873282560) (/.f64 x (/.f64 a y)) (if (<=.f64 y 1850000000000000002979191358080840996406171618370575987181358245210929918796032366946190016287316236191145559331755948975237875605619967826028510343126088416302201577163266584020379336106345234432) (neg.f64 (.f64 (/.f64 t a) z)) (/.f64 x (/.f64 a y))))))))))
(if (<=.f64 y -2608088931401699/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (/.f64 y (/.f64 a x)) (if (<=.f64 y 115102655344833/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) (.f64 t (/.f64 (neg.f64 z) a)) (if (<=.f64 y 6301947896890133/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (/.f64 (.f64 y x) a) (if (<=.f64 y 7515797651710355/50216813883093446110686315385661331328818843555712276103168) (/.f64 (.f64 t (neg.f64 z)) a) (if (<=.f64 y 8921746031330295/8796093022208) (.f64 x (/.f64 y a)) (if (<=.f64 y 235000000000000008895011487744) (neg.f64 (/.f64 z (/.f64 a t))) (if (<=.f64 y 44999999999999996961018776685947108006985891471755530103911075632631318535485047752989208933209914889100437539207166220326961547335768450832876074229505980912957864732346873282560) (/.f64 x (/.f64 a y)) (if (<=.f64 y 1850000000000000002979191358080840996406171618370575987181358245210929918796032366946190016287316236191145559331755948975237875605619967826028510343126088416302201577163266584020379336106345234432) (neg.f64 (*.f64 (/.f64 t a) z)) (/.f64 x (/.f64 a y))))))))))
(if (<=.f64 y -2608088931401699/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (/.f64 y (/.f64 a x)) (if (<=.f64 y 115102655344833/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) (.f64 t (/.f64 (neg.f64 z) a)) (if (<=.f64 y 6301947896890133/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (/.f64 (.f64 y x) a) (if (<=.f64 y 7515797651710355/50216813883093446110686315385661331328818843555712276103168) (neg.f64 (/.f64 z (/.f64 a t))) (if (<=.f64 y 8921746031330295/8796093022208) (.f64 x (/.f64 y a)) (if (<=.f64 y 235000000000000008895011487744) (neg.f64 (/.f64 z (/.f64 a t))) (if (<=.f64 y 44999999999999996961018776685947108006985891471755530103911075632631318535485047752989208933209914889100437539207166220326961547335768450832876074229505980912957864732346873282560) (/.f64 x (/.f64 a y)) (if (<=.f64 y 1850000000000000002979191358080840996406171618370575987181358245210929918796032366946190016287316236191145559331755948975237875605619967826028510343126088416302201577163266584020379336106345234432) (neg.f64 (.f64 (/.f64 t a) z)) (/.f64 x (/.f64 a y))))))))))
(if (<=.f64 y -2608088931401699/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (/.f64 y (/.f64 a x)) (if (<=.f64 y 115102655344833/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) (neg.f64 (/.f64 t (/.f64 a z))) (if (<=.f64 y 6301947896890133/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (/.f64 (.f64 y x) a) (if (<=.f64 y 7515797651710355/50216813883093446110686315385661331328818843555712276103168) (neg.f64 (/.f64 z (/.f64 a t))) (if (<=.f64 y 8921746031330295/8796093022208) (.f64 x (/.f64 y a)) (if (<=.f64 y 235000000000000008895011487744) (neg.f64 (/.f64 z (/.f64 a t))) (if (<=.f64 y 44999999999999996961018776685947108006985891471755530103911075632631318535485047752989208933209914889100437539207166220326961547335768450832876074229505980912957864732346873282560) (/.f64 x (/.f64 a y)) (if (<=.f64 y 1850000000000000002979191358080840996406171618370575987181358245210929918796032366946190016287316236191145559331755948975237875605619967826028510343126088416302201577163266584020379336106345234432) (neg.f64 (*.f64 (/.f64 t a) z)) (/.f64 x (/.f64 a y))))))))))
(if (<=.f64 y -2608088931401699/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (/.f64 y (/.f64 a x)) (if (<=.f64 y 115102655344833/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) (neg.f64 (/.f64 t (/.f64 a z))) (if (<=.f64 y 6301947896890133/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (/.f64 (.f64 y x) a) (if (<=.f64 y 7515797651710355/50216813883093446110686315385661331328818843555712276103168) (neg.f64 (/.f64 z (/.f64 a t))) (if (<=.f64 y 8921746031330295/8796093022208) (.f64 x (/.f64 y a)) (if (<=.f64 y 235000000000000008895011487744) (neg.f64 (/.f64 z (/.f64 a t))) (if (<=.f64 y 44999999999999996961018776685947108006985891471755530103911075632631318535485047752989208933209914889100437539207166220326961547335768450832876074229505980912957864732346873282560) (/.f64 x (/.f64 a y)) (if (<=.f64 y 1850000000000000002979191358080840996406171618370575987181358245210929918796032366946190016287316236191145559331755948975237875605619967826028510343126088416302201577163266584020379336106345234432) (neg.f64 (/.f64 z (/.f64 a t))) (/.f64 x (/.f64 a y))))))))))
(if (<=.f64 y -2608088931401699/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (/.f64 y (/.f64 a x)) (if (<=.f64 y 115102655344833/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) (neg.f64 (/.f64 z (/.f64 a t))) (if (<=.f64 y 6301947896890133/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (/.f64 (.f64 y x) a) (if (<=.f64 y 7515797651710355/50216813883093446110686315385661331328818843555712276103168) (neg.f64 (/.f64 z (/.f64 a t))) (if (<=.f64 y 8921746031330295/8796093022208) (.f64 x (/.f64 y a)) (if (<=.f64 y 235000000000000008895011487744) (neg.f64 (/.f64 z (/.f64 a t))) (if (<=.f64 y 44999999999999996961018776685947108006985891471755530103911075632631318535485047752989208933209914889100437539207166220326961547335768450832876074229505980912957864732346873282560) (/.f64 x (/.f64 a y)) (if (<=.f64 y 1850000000000000002979191358080840996406171618370575987181358245210929918796032366946190016287316236191145559331755948975237875605619967826028510343126088416302201577163266584020379336106345234432) (neg.f64 (/.f64 z (/.f64 a t))) (/.f64 x (/.f64 a y))))))))))
(if (<=.f64 t 4938203771839165/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576) (/.f64 x (/.f64 a y)) (/.f64 (*.f64 y x) a))
(/.f64 x (/.f64 a y))

Outputs
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(if (<=.f64 t 4938203771839165/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576) (/.f64 x (/.f64 a y)) (/.f64 (*.f64 x y) a))
(/.f64 x (/.f64 a y))

Compiler

Compiled 800 to 402 computations (49.8% saved)

soundness173.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 134 to 87 computations (35.1% saved)

end262.0ms (1.4%)

Remove

(sort z t)

(sort x y)

Compiler

Compiled 977 to 325 computations (66.7% saved)

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

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

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

Iter	Nodes	Cost
0	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