Details

analyze214.0ms (1.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
25.8%	25%	71.8%	0.1%	3.1%	0%	0%	9
37.3%	34.3%	57.7%	0.1%	7.8%	0%	0%	10
45.1%	41.3%	50.3%	0.1%	8.2%	0%	0%	11
52.5%	46.8%	42.3%	0.1%	10.7%	0%	0%	12

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample2.0s (11.9%)

Results

1.8s	8256×	body	256	valid
190.0ms	1152×	body	256	infinite

Bogosity

preprocess251.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

2243×	`fma-neg_binary64`
416×	`unsub-neg_binary64`
263×	`associate--r+_binary64`
226×	`distribute-rgt-in_binary64`
214×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	55	52
2	144	44
3	521	44
4	1653	44
5	3028	44
6	3697	44
7	3803	44
8	3841	44
9	3857	44
10	4045	44
11	4126	44
12	4172	44
13	4239	44
14	4289	44
15	4289	44
16	6343	44
17	6343	44
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
(.f64 y (-.f64 1 (.f64 (-.f64 1 x) z)))
(.f64 z (-.f64 1 (.f64 (-.f64 1 y) x)))
(.f64 x (-.f64 1 (.f64 (-.f64 1 z) y)))

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

Compiler

Compiled 15 to 12 computations (20% saved)

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

710×	`fma-def_binary64`
419×	`fma-neg_binary64`
203×	`distribute-rgt-in_binary64`
160×	`distribute-lft-in_binary64`
141×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	20	13
2	49	11
3	161	11
4	493	11
5	1149	11
6	1895	11
7	2598	11
8	2708	11
9	2708	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

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

eval1.0ms (0%)

Compiler: Compiled 20 to 12 computations (40% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

3.6b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.6b	(fma.f64 x (fma.f64 y z (neg.f64 z)) x)
▶	3.6b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 y) z)
✓	3.4b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

Compiler

Compiled 31 to 20 computations (35.5% saved)

series9.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite99.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`prod-diff_binary64`
479×	`log-prod_binary64`
360×	`exp-prod_binary64`
300×	`pow-prod-down_binary64`
259×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	193	20
2	2559	20

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

Inputs
(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
(*.f64 (-.f64 1 y) z)

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

Outputs

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

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

simplify132.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

788×	`fma-def_binary64`
408×	`fma-neg_binary64`
140×	`distribute-rgt-in_binary64`
125×	`unsub-neg_binary64`
104×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	613
1	68	592
2	169	532
3	419	532
4	929	532
5	1582	532
6	2419	532
7	2582	532
8	2584	532
9	2584	532

Stop Event

1×

saturated

Counts

144 → 102

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.4b	(fma.f64 x (fma.f64 y z (neg.f64 z)) x)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series14.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(fma.f64 x (fma.f64 y z (neg.f64 z)) x)
3.0ms	z	@	-inf	(fma.f64 x (fma.f64 y z (neg.f64 z)) x)
1.0ms	x	@	-inf	(fma.f64 x (fma.f64 y z (neg.f64 z)) x)
1.0ms	y	@	-inf	(fma.f64 x (fma.f64 y z (neg.f64 z)) x)
1.0ms	x	@	inf	(fma.f64 x (fma.f64 y z (neg.f64 z)) x)

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`pow1_binary64`
574×	`add-log-exp_binary64`
573×	`log1p-expm1-u_binary64`
573×	`expm1-log1p-u_binary64`
560×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	142	9
2	1773	9

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 x (fma.f64 y z (neg.f64 z)) x)

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

Outputs

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

simplify85.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

749×	`fma-def_binary64`
578×	`fma-neg_binary64`
205×	`distribute-rgt-in_binary64`
164×	`distribute-lft-in_binary64`
154×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	373
1	83	372
2	233	372
3	653	372
4	1599	372
5	2812	372
6	3164	372
7	3219	372
8	3219	372

Stop Event

1×

saturated

Counts

57 → 34

Calls

Call 1

Inputs
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (-.f64 (.f64 y z) z)) 1) x))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (-.f64 (.f64 y z) z)) 1) x))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (-.f64 (.f64 y z) z)) 1) x))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (-.f64 (.f64 y z) z)) 1) x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 y (.f64 z x)) (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 (.f64 y (.f64 z x)) (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 (.f64 y (.f64 z x)) (+.f64 (.f64 -1 (.f64 z x)) x))
(.f64 y (.f64 z x))
(+.f64 (.f64 y (.f64 z x)) (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 (.f64 y (.f64 z x)) (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 (.f64 y (.f64 z x)) (+.f64 (.f64 -1 (.f64 z x)) x))
(.f64 y (.f64 z x))
(+.f64 (.f64 y (.f64 z x)) (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 (.f64 y (.f64 z x)) (+.f64 (.f64 -1 (.f64 z x)) x))
(+.f64 (.f64 y (.f64 z x)) (+.f64 (.f64 -1 (.f64 z x)) x))
x
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(.f64 z (.f64 (-.f64 y 1) x))
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) (.f64 z x)))
(+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) (.f64 z x))) x)
(+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) (.f64 z x))) x)
(+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) (.f64 z x))) x)

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

eval38.0ms (0.2%)

Compiler: Compiled 1727 to 997 computations (42.3% saved)

prune42.0ms (0.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	123	13	136
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	124	14	138

Error

0.0b

Counts

138 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	3.9b	(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
	36.1b	x
▶	45.8b	(.f64 y (.f64 z x))
✓	3.6b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
▶	20.9b	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))
	22.3b	(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 y z z) x)) 2) (cbrt.f64 (fma.f64 x (fma.f64 y z z) x)))
▶	2.1b	(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
▶	4.1b	(.f64 x (-.f64 1 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 y) z)) 3)))
	19.3b	(*.f64 (-.f64 1 z) x)
	37.5b	(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))) 2)
	4.8b	(pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))) 3)
	28.4b	(.f64 z (-.f64 (.f64 y x) x))
	49.4b	(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 y z z)) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 x (fma.f64 y z z)) (.f64 x (fma.f64 y z z))) (-.f64 (.f64 x x) (.f64 (*.f64 x (fma.f64 y z z)) x))))
▶	19.3b	(-.f64 x (*.f64 z x))

Compiler

Compiled 376 to 228 computations (39.4% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 z) x)
✓	0.0b	(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
✓	2.9b	(.f64 y (.f64 z x))

Compiler

Compiled 34 to 15 computations (55.9% saved)

series29.0ms (0.2%)

Counts

3 → 39

Calls

24 calls:

Time	Variable		Point	Expression
18.0ms	x	@	0	(*.f64 (-.f64 1 z) x)
1.0ms	y	@	0	(.f64 y (.f64 z x))
1.0ms	x	@	-inf	(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
1.0ms	z	@	inf	(.f64 y (.f64 z x))
1.0ms	z	@	0	(.f64 y (.f64 z x))

rewrite170.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

569×	`log-prod_binary64`
473×	`fma-def_binary64`
433×	`pow-prod-down_binary64`
288×	`pow2_binary64`
204×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	214	27
2	2958	25

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

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

Outputs

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

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

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

simplify117.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

670×	`fma-def_binary64`
492×	`fma-neg_binary64`
158×	`distribute-rgt-in_binary64`
155×	`cancel-sign-sub-inv_binary64`
128×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	349
1	94	349
2	243	349
3	641	349
4	1602	349
5	2473	349
6	2843	349
7	2857	349
8	2857	349

Stop Event

1×

saturated

Counts

175 → 151

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	2.9b	(.f64 y (.f64 z x))

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 z x))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

651×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
593×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1654	7

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

Inputs
(-.f64 x (*.f64 z x))

Outputs

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

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
71×	`fma-neg_binary64`
21×	`cancel-sign-sub-inv_binary64`
19×	`associate-r_binary64`
18×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	160
1	28	160
2	49	160
3	88	160
4	136	160
5	223	160
6	371	160
7	450	160
8	518	160
9	524	160

Stop Event

1×

saturated

Counts

64 → 47

Calls

Call 1

Inputs
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
x
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)

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

localize21.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.4b	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series14.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	z	@	inf	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))
1.0ms	x	@	0	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))
1.0ms	x	@	inf	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))
1.0ms	y	@	inf	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))
1.0ms	z	@	0	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

812×	`pow1_binary64`
748×	`add-log-exp_binary64`
748×	`log1p-expm1-u_binary64`
748×	`expm1-log1p-u_binary64`
733×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	188	10
2	2495	10

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))

Outputs

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

simplify82.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

290×	`fma-def_binary64`
61×	`associate-l_binary64`
60×	`fma-neg_binary64`
53×	`associate-r_binary64`
49×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	390
1	31	270
2	72	270
3	159	270
4	333	270
5	514	270
6	697	270
7	800	270
8	932	270

Stop Event

1×

saturated

Counts

55 → 24

Calls

Call 1

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

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

localize51.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 1 y) z)
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z)) 3)
✓	3.4b	(.f64 x (-.f64 1 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 y) z)) 3)))
✓	3.9b	(cbrt.f64 (*.f64 (-.f64 1 y) z))

Compiler

Compiled 52 to 37 computations (28.8% saved)

series80.0ms (0.5%)

Counts

3 → 29

Calls

21 calls:

Time	Variable		Point	Expression
40.0ms	z	@	-inf	(.f64 x (-.f64 1 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 y) z)) 3)))
6.0ms	x	@	0	(.f64 x (-.f64 1 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 y) z)) 3)))
6.0ms	y	@	0	(.f64 x (-.f64 1 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 y) z)) 3)))
3.0ms	y	@	0	(cbrt.f64 (*.f64 (-.f64 1 y) z))
2.0ms	y	@	inf	(.f64 x (-.f64 1 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 y) z)) 3)))

rewrite108.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

791×	`prod-diff_binary64`
546×	`log-prod_binary64`
297×	`pow2_binary64`
229×	`fma-def_binary64`
203×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	259	29
2	2996	29

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 (-.f64 1 y) z))
(.f64 x (-.f64 1 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 y) z)) 3)))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z)) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 1 y) z) 1/6) (pow.f64 (*.f64 (-.f64 1 y) z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 y) z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 y) z) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 y) z)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 y) z) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 y) z)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z))) 1))))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (-.f64 1 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (-.f64 1 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (-.f64 1 y) z 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z)) 2) (cbrt.f64 (*.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 y)) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (*.f64 (cbrt.f64 (-.f64 1 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 y) z)) (sqrt.f64 (*.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 1 y) z) 1/6) (*.f64 (pow.f64 (*.f64 (-.f64 1 y) z) 1/6) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 y)) (*.f64 (sqrt.f64 (-.f64 1 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z)) 2) 1) (cbrt.f64 (*.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z)) 2) (cbrt.f64 (-.f64 1 y))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) z)) 2) (pow.f64 (*.f64 (-.f64 1 y) z) 1/6)) (pow.f64 (*.f64 (-.f64 1 y) z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) z) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (*.f64 y y))) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (-.f64 1 y) z 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 z z)) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 z z)) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 y) z 1)) 2) (cbrt.f64 (fma.f64 (-.f64 1 y) z 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (-.f64 1 y) z 1)) (sqrt.f64 (fma.f64 (-.f64 1 y) z 1)) -1)))))

simplify139.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

779×	`fma-neg_binary64`
490×	`distribute-lft-in_binary64`
490×	`distribute-rgt-in_binary64`
427×	`distribute-neg-in_binary64`
385×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	1054
1	475	975
2	1703	890
3	5860	882

Stop Event

1×	node limit

Counts

147 → 145

Calls

Call 1

Inputs
(pow.f64 z 1/3)
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 z 7)) 1/9) y)) (pow.f64 z 1/3))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 z 7)) 1/9) y)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 z 11)) 1/9) (pow.f64 y 2))) (pow.f64 z 1/3)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 z 7)) 1/9) y)) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 z 7) 1/3))) (.f64 -1/27 (pow.f64 (.f64 1 (pow.f64 z 7)) 1/3))) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (*.f64 1 (pow.f64 z 11)) 1/9) (pow.f64 y 2))) (pow.f64 z 1/3))))
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) (*.f64 z (-.f64 1 y)))) x)
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) (*.f64 z (-.f64 1 y)))) x)
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) (*.f64 z (-.f64 1 y)))) x)
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) (*.f64 z (-.f64 1 y)))) x)
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) (*.f64 z (-.f64 1 y)))) x)
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) (*.f64 z (-.f64 1 y)))) x)
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) (*.f64 z (-.f64 1 y)))) x)
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) (*.f64 z (-.f64 1 y)))) x)
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) (*.f64 z (-.f64 1 y)))) x)
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) (*.f64 z (-.f64 1 y)))) x)
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) (*.f64 z (-.f64 1 y)))) x)
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) (*.f64 z (-.f64 1 y)))) x)
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) z)) x)
(+.f64 (.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) z)) x) (.f64 -1 (.f64 y (.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 z 13)) 1/9)) (.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 z 13)) 1/9))) x))))
(+.f64 (.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) z)) x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (.f64 x (+.f64 (.f64 2/9 (pow.f64 (.f64 1 (pow.f64 z 17)) 1/9)) (+.f64 (.f64 (+.f64 (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 z 14)) 1/9)) (.f64 -2/9 (pow.f64 (.f64 1 (pow.f64 z 14)) 1/9))) (pow.f64 (.f64 1 z) 1/3)) (.f64 -1/9 (pow.f64 (.f64 1 (pow.f64 z 17)) 1/9))))))) (.f64 -1 (.f64 y (.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 z 13)) 1/9)) (.f64 -1/3 (pow.f64 (.f64 1 (pow.f64 z 13)) 1/9))) x)))))
(+.f64 (.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) z)) x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (.f64 x (+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 z 7) 1/3))) (.f64 -1/27 (pow.f64 (.f64 1 (pow.f64 z 7)) 1/3))) (pow.f64 1 1/3))) (+.f64 (.f64 2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 z 7) 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/27 (.f64 (pow.f64 1 1/9) (pow.f64 z 2))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 z 7) 1/3))) (.f64 -1/27 (pow.f64 (.f64 1 (pow.f64 z 7)) 1/3))))))) (.f64 -1/3 (.f64 (+.f64 (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 z 14)) 1/9)) (.f64 -2/9 (pow.f64 (.f64 1 (pow.f64 z 14)) 1/9))) (pow.f64 (.f64 1 (pow.f64 z 7)) 1/9))))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (.f64 x (+.f64 (.f64 2/9 (pow.f64 (.f64 1 (pow.f64 z 17)) 1/9)) (+.f64 (.f64 (+.f64 (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 z 14)) 1/9)) (.f64 -2/9 (pow.f64 (.f64 1 (pow.f64 z 14)) 1/9))) (pow.f64 (.f64 1 z) 1/3)) (.f64 -1/9 (pow.f64 (.f64 1 (pow.f64 z 17)) 1/9))))))) (.f64 -1 (.f64 y (.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 z 13)) 1/9)) (.f64 -1/3 (pow.f64 (.f64 1 (pow.f64 z 13)) 1/9))) x))))))
x
x
x
x
x
(*.f64 (pow.f64 1 1/3) z)
(+.f64 (.f64 y (+.f64 (.f64 -1/3 (pow.f64 (.f64 1 (pow.f64 z 13)) 1/9)) (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 z 13)) 1/9)))) (.f64 (pow.f64 1 1/3) z))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 2/9 (pow.f64 (.f64 1 (pow.f64 z 17)) 1/9)) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 z 14)) 1/9)) (.f64 -2/9 (pow.f64 (.f64 1 (pow.f64 z 14)) 1/9)))) (.f64 -1/9 (pow.f64 (.f64 1 (pow.f64 z 17)) 1/9))))) (+.f64 (.f64 y (+.f64 (.f64 -1/3 (pow.f64 (.f64 1 (pow.f64 z 13)) 1/9)) (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 z 13)) 1/9)))) (*.f64 (pow.f64 1 1/3) z)))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 2/9 (pow.f64 (.f64 1 (pow.f64 z 17)) 1/9)) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 z 14)) 1/9)) (.f64 -2/9 (pow.f64 (.f64 1 (pow.f64 z 14)) 1/9)))) (.f64 -1/9 (pow.f64 (.f64 1 (pow.f64 z 17)) 1/9))))) (+.f64 (.f64 y (+.f64 (.f64 -1/3 (pow.f64 (.f64 1 (pow.f64 z 13)) 1/9)) (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 z 13)) 1/9)))) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 z 7) 1/3))) (.f64 -1/27 (pow.f64 (.f64 1 (pow.f64 z 7)) 1/3))) (pow.f64 1 1/3))) (+.f64 (.f64 2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 z 7) 1/3))) (+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 z 14)) 1/9)) (.f64 -2/9 (pow.f64 (.f64 1 (pow.f64 z 14)) 1/9))) (pow.f64 (.f64 1 (pow.f64 z 7)) 1/9))) (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/27 (.f64 (pow.f64 1 1/9) (pow.f64 z 2))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 z 7) 1/3))) (.f64 -1/27 (pow.f64 (.f64 1 (pow.f64 z 7)) 1/3))))))))))) (*.f64 (pow.f64 1 1/3) z))))

Outputs
(pow.f64 z 1/3)
(cbrt.f64 z)
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 z 7)) 1/9) y)) (pow.f64 z 1/3))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (pow.f64 z 7) 1/18) (pow.f64 (pow.f64 z 7) 1/18)) y) (cbrt.f64 z))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 z 7)) 1/9) y)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 z 11)) 1/9) (pow.f64 y 2))) (pow.f64 z 1/3)))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (pow.f64 z 7) 1/18) (pow.f64 (pow.f64 z 7) 1/18)) y) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (pow.f64 z 11) 1/18) (pow.f64 (pow.f64 z 11) 1/18)) (*.f64 y y)) (cbrt.f64 z)))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (pow.f64 z 7) 1/18) (pow.f64 (pow.f64 z 7) 1/18)) y) (fma.f64 -1/9 (.f64 (pow.f64 (pow.f64 z 11) 1/18) (.f64 (pow.f64 (pow.f64 z 11) 1/18) (*.f64 y y))) (cbrt.f64 z)))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (pow.f64 z 7) 1/18) (pow.f64 (pow.f64 z 7) 1/18)) y) (fma.f64 -1/9 (.f64 (pow.f64 (pow.f64 z 11) 1/18) (.f64 (*.f64 y y) (pow.f64 (pow.f64 z 11) 1/18))) (cbrt.f64 z)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 z 7)) 1/9) y)) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 z 7) 1/3))) (.f64 -1/27 (pow.f64 (.f64 1 (pow.f64 z 7)) 1/3))) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (*.f64 1 (pow.f64 z 11)) 1/9) (pow.f64 y 2))) (pow.f64 z 1/3))))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (pow.f64 z 7) 1/18) (pow.f64 (pow.f64 z 7) 1/18)) y) (fma.f64 -1/3 (.f64 (+.f64 (.f64 2/9 (cbrt.f64 (pow.f64 z 7))) (.f64 (cbrt.f64 (pow.f64 z 7)) -1/27)) (.f64 (pow.f64 y 3) (cbrt.f64 (/.f64 1 (.f64 z z))))) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (pow.f64 z 11) 1/18) (pow.f64 (pow.f64 z 11) 1/18)) (.f64 y y)) (cbrt.f64 z))))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (pow.f64 z 7) 1/18) (pow.f64 (pow.f64 z 7) 1/18)) y) (fma.f64 -1/3 (.f64 (pow.f64 y 3) (.f64 (.f64 (cbrt.f64 (pow.f64 z 7)) 5/27) (cbrt.f64 (/.f64 1 (.f64 z z))))) (fma.f64 -1/9 (.f64 (pow.f64 (pow.f64 z 11) 1/18) (.f64 (pow.f64 (pow.f64 z 11) 1/18) (*.f64 y y))) (cbrt.f64 z))))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (pow.f64 z 7) 1/18) (pow.f64 (pow.f64 z 7) 1/18)) y) (fma.f64 -1/3 (.f64 (pow.f64 y 3) (.f64 (.f64 (cbrt.f64 (pow.f64 z 7)) 5/27) (cbrt.f64 (/.f64 (/.f64 1 z) z)))) (fma.f64 -1/9 (.f64 (pow.f64 (pow.f64 z 11) 1/18) (.f64 (.f64 y y) (pow.f64 (pow.f64 z 11) 1/18))) (cbrt.f64 z))))
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) (*.f64 z (-.f64 1 y)))) x)
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(+.f64 x (.f64 x (.f64 z (+.f64 y -1))))
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) (*.f64 z (-.f64 1 y)))) x)
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(+.f64 x (.f64 x (.f64 z (+.f64 y -1))))
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) (*.f64 z (-.f64 1 y)))) x)
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(+.f64 x (.f64 x (.f64 z (+.f64 y -1))))
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) (*.f64 z (-.f64 1 y)))) x)
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(+.f64 x (.f64 x (.f64 z (+.f64 y -1))))
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) (*.f64 z (-.f64 1 y)))) x)
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(+.f64 x (.f64 x (.f64 z (+.f64 y -1))))
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) (*.f64 z (-.f64 1 y)))) x)
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(+.f64 x (.f64 x (.f64 z (+.f64 y -1))))
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) (*.f64 z (-.f64 1 y)))) x)
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(+.f64 x (.f64 x (.f64 z (+.f64 y -1))))
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) (*.f64 z (-.f64 1 y)))) x)
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(+.f64 x (.f64 x (.f64 z (+.f64 y -1))))
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) (*.f64 z (-.f64 1 y)))) x)
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(+.f64 x (.f64 x (.f64 z (+.f64 y -1))))
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) (*.f64 z (-.f64 1 y)))) x)
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(+.f64 x (.f64 x (.f64 z (+.f64 y -1))))
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) (*.f64 z (-.f64 1 y)))) x)
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(+.f64 x (.f64 x (.f64 z (+.f64 y -1))))
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) (*.f64 z (-.f64 1 y)))) x)
(.f64 (-.f64 1 (.f64 z (-.f64 1 y))) x)
(+.f64 x (.f64 x (.f64 z (+.f64 y -1))))
(.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) z)) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 x z))
(+.f64 (.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) z)) x) (.f64 -1 (.f64 y (.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 z 13)) 1/9)) (.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 z 13)) 1/9))) x))))
(fma.f64 (-.f64 1 z) x (neg.f64 (.f64 y (.f64 x (.f64 (.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18)) -1)))))
(-.f64 (.f64 x (-.f64 1 z)) (.f64 x (.f64 (.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18)) (neg.f64 y))))
(.f64 x (-.f64 (-.f64 1 z) (.f64 (*.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18)) (neg.f64 y))))
(.f64 x (+.f64 (-.f64 1 z) (.f64 y (*.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18)))))
(+.f64 (.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) z)) x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (.f64 x (+.f64 (.f64 2/9 (pow.f64 (.f64 1 (pow.f64 z 17)) 1/9)) (+.f64 (.f64 (+.f64 (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 z 14)) 1/9)) (.f64 -2/9 (pow.f64 (.f64 1 (pow.f64 z 14)) 1/9))) (pow.f64 (.f64 1 z) 1/3)) (.f64 -1/9 (pow.f64 (.f64 1 (pow.f64 z 17)) 1/9))))))) (.f64 -1 (.f64 y (.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 z 13)) 1/9)) (.f64 -1/3 (pow.f64 (.f64 1 (pow.f64 z 13)) 1/9))) x)))))
(fma.f64 (-.f64 1 z) x (.f64 -1 (+.f64 (.f64 (.f64 y y) (.f64 x (fma.f64 2/9 (.f64 (pow.f64 (pow.f64 z 17) 1/18) (pow.f64 (pow.f64 z 17) 1/18)) (fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 z 14) 1/18) (pow.f64 (pow.f64 z 14) 1/18)) -1/9) (cbrt.f64 z) (.f64 -1/9 (.f64 (pow.f64 (pow.f64 z 17) 1/18) (pow.f64 (pow.f64 z 17) 1/18))))))) (.f64 y (.f64 x (.f64 (*.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18)) -1))))))
(fma.f64 x (-.f64 1 z) (neg.f64 (fma.f64 (.f64 y y) (.f64 x (fma.f64 2/9 (.f64 (pow.f64 (pow.f64 z 17) 1/18) (pow.f64 (pow.f64 z 17) 1/18)) (fma.f64 -1/9 (.f64 (pow.f64 (pow.f64 z 17) 1/18) (pow.f64 (pow.f64 z 17) 1/18)) (.f64 (.f64 (pow.f64 (pow.f64 z 14) 1/18) (pow.f64 (pow.f64 z 14) 1/18)) (.f64 -1/9 (cbrt.f64 z)))))) (.f64 x (.f64 (.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18)) (neg.f64 y))))))
(-.f64 (.f64 x (-.f64 1 z)) (.f64 x (.f64 y (+.f64 (neg.f64 (.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18))) (.f64 y (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 z 14) 1/18) (pow.f64 (pow.f64 z 14) 1/18)) (.f64 -1/9 (cbrt.f64 z))) (.f64 (.f64 (pow.f64 (pow.f64 z 17) 1/18) (pow.f64 (pow.f64 z 17) 1/18)) 1/9)))))))
(-.f64 (-.f64 x (.f64 x z)) (.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 z 14) 1/18) (pow.f64 (pow.f64 z 14) 1/18)) (.f64 -1/9 (cbrt.f64 z))) (.f64 (.f64 (pow.f64 (pow.f64 z 17) 1/18) (pow.f64 (pow.f64 z 17) 1/18)) 1/9))) (.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18))))))
(+.f64 (.f64 (-.f64 1 (.f64 (pow.f64 1 1/3) z)) x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (.f64 x (+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 z 7) 1/3))) (.f64 -1/27 (pow.f64 (.f64 1 (pow.f64 z 7)) 1/3))) (pow.f64 1 1/3))) (+.f64 (.f64 2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 z 7) 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/27 (.f64 (pow.f64 1 1/9) (pow.f64 z 2))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 z 7) 1/3))) (.f64 -1/27 (pow.f64 (.f64 1 (pow.f64 z 7)) 1/3))))))) (.f64 -1/3 (.f64 (+.f64 (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 z 14)) 1/9)) (.f64 -2/9 (pow.f64 (.f64 1 (pow.f64 z 14)) 1/9))) (pow.f64 (.f64 1 (pow.f64 z 7)) 1/9))))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (.f64 x (+.f64 (.f64 2/9 (pow.f64 (.f64 1 (pow.f64 z 17)) 1/9)) (+.f64 (.f64 (+.f64 (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 z 14)) 1/9)) (.f64 -2/9 (pow.f64 (.f64 1 (pow.f64 z 14)) 1/9))) (pow.f64 (.f64 1 z) 1/3)) (.f64 -1/9 (pow.f64 (.f64 1 (pow.f64 z 17)) 1/9))))))) (.f64 -1 (.f64 y (.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 z 13)) 1/9)) (.f64 -1/3 (pow.f64 (.f64 1 (pow.f64 z 13)) 1/9))) x))))))
(fma.f64 (-.f64 1 z) x (fma.f64 -1 (.f64 (pow.f64 y 3) (.f64 x (fma.f64 -1/3 (.f64 1 (+.f64 (.f64 2/9 (cbrt.f64 (pow.f64 z 7))) (.f64 (cbrt.f64 (pow.f64 z 7)) -1/27))) (+.f64 (.f64 2/27 (cbrt.f64 (pow.f64 z 7))) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (pow.f64 z 7) 1/18) (pow.f64 (pow.f64 z 7) 1/18)) (.f64 (.f64 (pow.f64 (pow.f64 z 14) 1/18) (pow.f64 (pow.f64 z 14) 1/18)) -1/9)) (.f64 (cbrt.f64 z) (+.f64 (.f64 2/27 (.f64 z z)) (.f64 -2/3 (.f64 (+.f64 (.f64 2/9 (cbrt.f64 (pow.f64 z 7))) (.f64 (cbrt.f64 (pow.f64 z 7)) -1/27)) (cbrt.f64 (/.f64 1 z))))))))))) (.f64 -1 (+.f64 (.f64 (.f64 y y) (.f64 x (fma.f64 2/9 (.f64 (pow.f64 (pow.f64 z 17) 1/18) (pow.f64 (pow.f64 z 17) 1/18)) (fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 z 14) 1/18) (pow.f64 (pow.f64 z 14) 1/18)) -1/9) (cbrt.f64 z) (.f64 -1/9 (.f64 (pow.f64 (pow.f64 z 17) 1/18) (pow.f64 (pow.f64 z 17) 1/18))))))) (.f64 y (.f64 x (.f64 (.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18)) -1)))))))
(fma.f64 x (-.f64 1 z) (-.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 x (fma.f64 2/9 (.f64 (pow.f64 (pow.f64 z 17) 1/18) (pow.f64 (pow.f64 z 17) 1/18)) (fma.f64 -1/9 (.f64 (pow.f64 (pow.f64 z 17) 1/18) (pow.f64 (pow.f64 z 17) 1/18)) (.f64 (.f64 (pow.f64 (pow.f64 z 14) 1/18) (pow.f64 (pow.f64 z 14) 1/18)) (.f64 -1/9 (cbrt.f64 z)))))) (.f64 x (.f64 (.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18)) (neg.f64 y))))) (.f64 (pow.f64 y 3) (.f64 x (fma.f64 -1/3 (.f64 (cbrt.f64 (pow.f64 z 7)) 5/27) (fma.f64 (cbrt.f64 (pow.f64 z 7)) 2/27 (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (pow.f64 z 7) 1/18) (pow.f64 (pow.f64 z 7) 1/18)) (.f64 (pow.f64 (pow.f64 z 14) 1/18) (.f64 (pow.f64 (pow.f64 z 14) 1/18) -1/9))) (.f64 (cbrt.f64 z) (fma.f64 -2/3 (.f64 (.f64 (cbrt.f64 (pow.f64 z 7)) 5/27) (cbrt.f64 (/.f64 1 z))) (.f64 (.f64 z z) 2/27))))))))))
(-.f64 (.f64 x (-.f64 (-.f64 1 z) (.f64 (pow.f64 y 3) (fma.f64 -1/3 (.f64 (cbrt.f64 (pow.f64 z 7)) 5/27) (fma.f64 (cbrt.f64 (pow.f64 z 7)) 2/27 (fma.f64 (cbrt.f64 z) (fma.f64 -2/3 (.f64 (.f64 (cbrt.f64 (pow.f64 z 7)) 5/27) (cbrt.f64 (/.f64 1 z))) (.f64 z (.f64 z 2/27))) (.f64 (.f64 (pow.f64 (pow.f64 z 7) 1/18) (pow.f64 (pow.f64 z 7) 1/18)) (.f64 -1/3 (.f64 -1/9 (.f64 (pow.f64 (pow.f64 z 14) 1/18) (pow.f64 (pow.f64 z 14) 1/18))))))))))) (.f64 x (.f64 y (+.f64 (neg.f64 (.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18))) (.f64 y (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 z 14) 1/18) (pow.f64 (pow.f64 z 14) 1/18)) (.f64 -1/9 (cbrt.f64 z))) (.f64 (*.f64 (pow.f64 (pow.f64 z 17) 1/18) (pow.f64 (pow.f64 z 17) 1/18)) 1/9)))))))
(-.f64 (.f64 x (-.f64 (-.f64 1 z) (.f64 (pow.f64 y 3) (fma.f64 -1/3 (.f64 (cbrt.f64 (pow.f64 z 7)) 5/27) (fma.f64 (cbrt.f64 (pow.f64 z 7)) 2/27 (fma.f64 (cbrt.f64 z) (fma.f64 -2/3 (.f64 (.f64 (cbrt.f64 (pow.f64 z 7)) 5/27) (cbrt.f64 (/.f64 1 z))) (.f64 z (.f64 z 2/27))) (.f64 (.f64 (pow.f64 (pow.f64 z 7) 1/18) (pow.f64 (pow.f64 z 7) 1/18)) (.f64 -1/3 (.f64 -1/9 (.f64 (pow.f64 (pow.f64 z 14) 1/18) (pow.f64 (pow.f64 z 14) 1/18))))))))))) (.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 z 14) 1/18) (pow.f64 (pow.f64 z 14) 1/18)) (.f64 -1/9 (cbrt.f64 z))) (.f64 (.f64 (pow.f64 (pow.f64 z 17) 1/18) (pow.f64 (pow.f64 z 17) 1/18)) 1/9))) (*.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18))))))
x
x
x
x
x
(*.f64 (pow.f64 1 1/3) z)
z
(+.f64 (.f64 y (+.f64 (.f64 -1/3 (pow.f64 (.f64 1 (pow.f64 z 13)) 1/9)) (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 z 13)) 1/9)))) (.f64 (pow.f64 1 1/3) z))
(fma.f64 y (.f64 (.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18)) -1) z)
(fma.f64 y (.f64 -1 (.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18))) z)
(fma.f64 y (neg.f64 (*.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18))) z)
(fma.f64 y (*.f64 (pow.f64 (pow.f64 z 13) 1/18) (neg.f64 (pow.f64 (pow.f64 z 13) 1/18))) z)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 2/9 (pow.f64 (.f64 1 (pow.f64 z 17)) 1/9)) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 z 14)) 1/9)) (.f64 -2/9 (pow.f64 (.f64 1 (pow.f64 z 14)) 1/9)))) (.f64 -1/9 (pow.f64 (.f64 1 (pow.f64 z 17)) 1/9))))) (+.f64 (.f64 y (+.f64 (.f64 -1/3 (pow.f64 (.f64 1 (pow.f64 z 13)) 1/9)) (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 z 13)) 1/9)))) (*.f64 (pow.f64 1 1/3) z)))
(fma.f64 (.f64 y y) (fma.f64 2/9 (.f64 (pow.f64 (pow.f64 z 17) 1/18) (pow.f64 (pow.f64 z 17) 1/18)) (fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 z 14) 1/18) (pow.f64 (pow.f64 z 14) 1/18)) -1/9) (cbrt.f64 z) (.f64 -1/9 (.f64 (pow.f64 (pow.f64 z 17) 1/18) (pow.f64 (pow.f64 z 17) 1/18))))) (fma.f64 y (.f64 (.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18)) -1) z))
(fma.f64 (.f64 y y) (fma.f64 2/9 (.f64 (pow.f64 (pow.f64 z 17) 1/18) (pow.f64 (pow.f64 z 17) 1/18)) (fma.f64 -1/9 (.f64 (pow.f64 (pow.f64 z 17) 1/18) (pow.f64 (pow.f64 z 17) 1/18)) (.f64 (.f64 (pow.f64 (pow.f64 z 14) 1/18) (pow.f64 (pow.f64 z 14) 1/18)) (.f64 -1/9 (cbrt.f64 z))))) (fma.f64 y (.f64 -1 (.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18))) z))
(fma.f64 (.f64 y y) (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 z 14) 1/18) (pow.f64 (pow.f64 z 14) 1/18)) (.f64 -1/9 (cbrt.f64 z))) (.f64 (.f64 (pow.f64 (pow.f64 z 17) 1/18) (pow.f64 (pow.f64 z 17) 1/18)) 1/9)) (fma.f64 y (neg.f64 (*.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18))) z))
(+.f64 z (.f64 y (-.f64 (.f64 y (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 z 14) 1/18) (pow.f64 (pow.f64 z 14) 1/18)) (.f64 -1/9 (cbrt.f64 z))) (.f64 (.f64 (pow.f64 (pow.f64 z 17) 1/18) (pow.f64 (pow.f64 z 17) 1/18)) 1/9))) (.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18)))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 2/9 (pow.f64 (.f64 1 (pow.f64 z 17)) 1/9)) (+.f64 (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 z 14)) 1/9)) (.f64 -2/9 (pow.f64 (.f64 1 (pow.f64 z 14)) 1/9)))) (.f64 -1/9 (pow.f64 (.f64 1 (pow.f64 z 17)) 1/9))))) (+.f64 (.f64 y (+.f64 (.f64 -1/3 (pow.f64 (.f64 1 (pow.f64 z 13)) 1/9)) (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 z 13)) 1/9)))) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 z 7) 1/3))) (.f64 -1/27 (pow.f64 (.f64 1 (pow.f64 z 7)) 1/3))) (pow.f64 1 1/3))) (+.f64 (.f64 2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 z 7) 1/3))) (+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 z 14)) 1/9)) (.f64 -2/9 (pow.f64 (.f64 1 (pow.f64 z 14)) 1/9))) (pow.f64 (.f64 1 (pow.f64 z 7)) 1/9))) (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/27 (.f64 (pow.f64 1 1/9) (pow.f64 z 2))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 z 7) 1/3))) (.f64 -1/27 (pow.f64 (.f64 1 (pow.f64 z 7)) 1/3))))))))))) (*.f64 (pow.f64 1 1/3) z))))
(fma.f64 (.f64 y y) (fma.f64 2/9 (.f64 (pow.f64 (pow.f64 z 17) 1/18) (pow.f64 (pow.f64 z 17) 1/18)) (fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 z 14) 1/18) (pow.f64 (pow.f64 z 14) 1/18)) -1/9) (cbrt.f64 z) (.f64 -1/9 (.f64 (pow.f64 (pow.f64 z 17) 1/18) (pow.f64 (pow.f64 z 17) 1/18))))) (fma.f64 y (.f64 (.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18)) -1) (fma.f64 (pow.f64 y 3) (fma.f64 -1/3 (.f64 1 (+.f64 (.f64 2/9 (cbrt.f64 (pow.f64 z 7))) (.f64 (cbrt.f64 (pow.f64 z 7)) -1/27))) (+.f64 (.f64 2/27 (cbrt.f64 (pow.f64 z 7))) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (pow.f64 z 7) 1/18) (pow.f64 (pow.f64 z 7) 1/18)) (.f64 (.f64 (pow.f64 (pow.f64 z 14) 1/18) (pow.f64 (pow.f64 z 14) 1/18)) -1/9)) (.f64 (cbrt.f64 z) (+.f64 (.f64 2/27 (.f64 z z)) (.f64 -2/3 (.f64 (+.f64 (.f64 2/9 (cbrt.f64 (pow.f64 z 7))) (*.f64 (cbrt.f64 (pow.f64 z 7)) -1/27)) (cbrt.f64 (/.f64 1 z))))))))) z)))
(fma.f64 (.f64 y y) (fma.f64 2/9 (.f64 (pow.f64 (pow.f64 z 17) 1/18) (pow.f64 (pow.f64 z 17) 1/18)) (fma.f64 -1/9 (.f64 (pow.f64 (pow.f64 z 17) 1/18) (pow.f64 (pow.f64 z 17) 1/18)) (.f64 (.f64 (pow.f64 (pow.f64 z 14) 1/18) (pow.f64 (pow.f64 z 14) 1/18)) (.f64 -1/9 (cbrt.f64 z))))) (fma.f64 y (.f64 -1 (.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18))) (fma.f64 (pow.f64 y 3) (fma.f64 -1/3 (.f64 (cbrt.f64 (pow.f64 z 7)) 5/27) (fma.f64 (cbrt.f64 (pow.f64 z 7)) 2/27 (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (pow.f64 z 7) 1/18) (pow.f64 (pow.f64 z 7) 1/18)) (.f64 (pow.f64 (pow.f64 z 14) 1/18) (.f64 (pow.f64 (pow.f64 z 14) 1/18) -1/9))) (.f64 (cbrt.f64 z) (fma.f64 -2/3 (.f64 (.f64 (cbrt.f64 (pow.f64 z 7)) 5/27) (cbrt.f64 (/.f64 1 z))) (.f64 (.f64 z z) 2/27)))))) z)))
(fma.f64 (.f64 y y) (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 z 14) 1/18) (pow.f64 (pow.f64 z 14) 1/18)) (.f64 -1/9 (cbrt.f64 z))) (.f64 (.f64 (pow.f64 (pow.f64 z 17) 1/18) (pow.f64 (pow.f64 z 17) 1/18)) 1/9)) (fma.f64 y (neg.f64 (.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18))) (fma.f64 (pow.f64 y 3) (fma.f64 -1/3 (.f64 (cbrt.f64 (pow.f64 z 7)) 5/27) (fma.f64 (cbrt.f64 (pow.f64 z 7)) 2/27 (fma.f64 (cbrt.f64 z) (fma.f64 -2/3 (.f64 (.f64 (cbrt.f64 (pow.f64 z 7)) 5/27) (cbrt.f64 (/.f64 1 z))) (.f64 z (.f64 z 2/27))) (.f64 (.f64 (pow.f64 (pow.f64 z 7) 1/18) (pow.f64 (pow.f64 z 7) 1/18)) (.f64 -1/3 (.f64 -1/9 (*.f64 (pow.f64 (pow.f64 z 14) 1/18) (pow.f64 (pow.f64 z 14) 1/18)))))))) z)))
(+.f64 (fma.f64 (pow.f64 y 3) (fma.f64 -1/3 (.f64 (cbrt.f64 (pow.f64 z 7)) 5/27) (fma.f64 (cbrt.f64 (pow.f64 z 7)) 2/27 (fma.f64 (cbrt.f64 z) (fma.f64 -2/3 (.f64 (.f64 (cbrt.f64 (pow.f64 z 7)) 5/27) (cbrt.f64 (/.f64 1 z))) (.f64 z (.f64 z 2/27))) (.f64 (.f64 (pow.f64 (pow.f64 z 7) 1/18) (pow.f64 (pow.f64 z 7) 1/18)) (.f64 -1/3 (.f64 -1/9 (.f64 (pow.f64 (pow.f64 z 14) 1/18) (pow.f64 (pow.f64 z 14) 1/18)))))))) z) (.f64 y (-.f64 (.f64 y (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 z 14) 1/18) (pow.f64 (pow.f64 z 14) 1/18)) (.f64 -1/9 (cbrt.f64 z))) (.f64 (.f64 (pow.f64 (pow.f64 z 17) 1/18) (pow.f64 (pow.f64 z 17) 1/18)) 1/9))) (.f64 (pow.f64 (pow.f64 z 13) 1/18) (pow.f64 (pow.f64 z 13) 1/18)))))

eval376.0ms (2.2%)

Compiler: Compiled 7334 to 4384 computations (40.2% saved)

prune190.0ms (1.1%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	426	11	437
Fresh	7	1	8
Picked	1	0	1
Done	2	3	5
Total	436	15	451

Error

Counts

451 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	19.4b	(+.f64 (.f64 y (.f64 z x)) x)
	36.1b	x
	47.5b	(.f64 x (.f64 z y))
	28.4b	(.f64 z (-.f64 (.f64 y x) x))
▶	19.3b	(*.f64 (-.f64 1 z) x)
	21.1b	(.f64 x (-.f64 1 (pow.f64 (cbrt.f64 (.f64 y (neg.f64 z))) 3)))
	21.7b	(pow.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 y z) x))) 3)
	28.8b	(fma.f64 (.f64 y (sqrt.f64 (.f64 z x))) (sqrt.f64 (.f64 z x)) (.f64 x (-.f64 1 z)))
✓	45.8b	(.f64 y (.f64 z x))
✓	3.6b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
▶	4.9b	(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 y z (-.f64 1 z)))) 2) (cbrt.f64 (*.f64 x (fma.f64 y z (-.f64 1 z)))))
✓	19.3b	(-.f64 x (*.f64 z x))
▶	45.4b	(*.f64 z (neg.f64 x))
▶	20.9b	(+.f64 x (.f64 (.f64 y z) x))
▶	55.1b	(pow.f64 (sqrt.f64 (.f64 (.f64 y x) z)) 2)

Compiler

Compiled 300 to 198 computations (34% saved)

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 y z (-.f64 1 z)))) 2) (cbrt.f64 (*.f64 x (fma.f64 y z (-.f64 1 z)))))
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y z (-.f64 1 z)))) 2)
✓	0.6b	(cbrt.f64 (*.f64 x (fma.f64 y z (-.f64 1 z))))
✓	3.4b	(*.f64 x (fma.f64 y z (-.f64 1 z)))

Compiler

Compiled 66 to 39 computations (40.9% saved)

series62.0ms (0.4%)

Counts

4 → 88

Calls

36 calls:

Time	Variable		Point	Expression
11.0ms	y	@	inf	(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 y z (-.f64 1 z)))) 2) (cbrt.f64 (*.f64 x (fma.f64 y z (-.f64 1 z)))))
5.0ms	x	@	-inf	(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 y z (-.f64 1 z)))) 2) (cbrt.f64 (*.f64 x (fma.f64 y z (-.f64 1 z)))))
4.0ms	z	@	0	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y z (-.f64 1 z)))) 2)
4.0ms	z	@	0	(*.f64 x (fma.f64 y z (-.f64 1 z)))
3.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y z (-.f64 1 z)))) 2)

rewrite143.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

471×	`log-prod_binary64`
416×	`prod-exp_binary64`
359×	`exp-prod_binary64`
323×	`pow-prod-down_binary64`
265×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	248	51
2	2639	51

Stop Event

1×	node limit

Counts

4 → 183

Calls

Call 1

Inputs
(*.f64 x (fma.f64 y z (-.f64 1 z)))
(cbrt.f64 (*.f64 x (fma.f64 y z (-.f64 1 z))))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y z (-.f64 1 z)))) 2)
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 y z (-.f64 1 z)))) 2) (cbrt.f64 (*.f64 x (fma.f64 y z (-.f64 1 z)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (-.f64 (fma.f64 y z 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y z) x) (.f64 (-.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 y z)) (.f64 x (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 y z 1) z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 y z 1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 y z 1) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 y z 1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (-.f64 (fma.f64 y z 1) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2/3 (log.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (-.f64 (fma.f64 y z 1) z))) 1/3) (log.f64 (cbrt.f64 (.f64 x (-.f64 (fma.f64 y z 1) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)))) 1) (log.f64 (cbrt.f64 (.f64 x (-.f64 (fma.f64 y z 1) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (cbrt.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)))) (.f64 (log.f64 (.f64 x (-.f64 (fma.f64 y z 1) z))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (-.f64 (fma.f64 y z 1) z))) 1/3) (.f64 (log.f64 (.f64 x (-.f64 (fma.f64 y z 1) z))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (-.f64 (fma.f64 y z 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y z) x) (.f64 (-.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 y z)) (.f64 x (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 y z 1) z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 y z 1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 y z 1) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 y z 1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (-.f64 (fma.f64 y z 1) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 (fma.f64 y z 1) z))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (.f64 x (-.f64 (fma.f64 y z 1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)))) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (-.f64 (fma.f64 y z 1) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)))) 2)) (cbrt.f64 (log.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 (fma.f64 y z 1) z))))) (sqrt.f64 (log.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 y z 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (-.f64 (fma.f64 y z 1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (-.f64 (fma.f64 y z 1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (-.f64 (fma.f64 y z 1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (-.f64 (fma.f64 y z 1) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (-.f64 (fma.f64 y z 1) z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)))) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (-.f64 (fma.f64 y z 1) z))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (-.f64 (fma.f64 y z 1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 2/3 (log.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)))) (.f64 (log.f64 (cbrt.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (.f64 2/3 (log.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)))) 1) (.f64 (log.f64 (cbrt.f64 (.f64 x (-.f64 (fma.f64 y z 1) z)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 y z) (.f64 x (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y z) x (*.f64 (-.f64 1 z) x))))))

simplify135.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

936×	`fma-def_binary64`
702×	`unswap-sqr_binary64`
374×	`distribute-rgt-in_binary64`
366×	`distribute-lft-in_binary64`
248×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	1928
1	561	1832
2	2055	1826
3	6401	1826

Stop Event

1×	node limit

Counts

271 → 176

Calls

Call 1

Inputs
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(*.f64 (-.f64 1 z) x)
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(.f64 y (.f64 z x))
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(.f64 y (.f64 z x))
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
x
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(.f64 z (.f64 (-.f64 y 1) x))
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) (.f64 z x)))
(+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) (.f64 z x))) x)
(+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) (.f64 z x))) x)
(+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) (.f64 z x))) x)
(pow.f64 (*.f64 (-.f64 1 z) x) 1/3)
(+.f64 (pow.f64 (.f64 (-.f64 1 z) x) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 x 7)) (pow.f64 (-.f64 1 z) 2)) 1/9) (*.f64 y z))))
(+.f64 (pow.f64 (.f64 (-.f64 1 z) x) 1/3) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 x 11)) (pow.f64 (-.f64 1 z) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 z 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 x 7)) (pow.f64 (-.f64 1 z) 2)) 1/9) (*.f64 y z)))))
(+.f64 (pow.f64 (.f64 (-.f64 1 z) x) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 x 2))) 1/3) (.f64 (pow.f64 y 3) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 x 7)) (pow.f64 (-.f64 1 z) 2)) 1/3) (pow.f64 z 3))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/3) (pow.f64 z 3)))))))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 x 11)) (pow.f64 (-.f64 1 z) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 z 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 x 7)) (pow.f64 (-.f64 1 z) 2)) 1/9) (*.f64 y z))))))
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/9) (.f64 z (-.f64 y 1)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 x 11)) 1/9) (.f64 (pow.f64 z 2) (pow.f64 (-.f64 y 1) 2)))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/9) (.f64 z (-.f64 y 1))))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 x 11)) 1/9) (.f64 (pow.f64 z 2) (pow.f64 (-.f64 y 1) 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (-.f64 y 1) 3) (pow.f64 (pow.f64 x 7) 1/3)))) (.f64 1/27 (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/3) (pow.f64 (-.f64 y 1) 3)))) (pow.f64 z 3)))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/9) (*.f64 z (-.f64 y 1)))))))
(pow.f64 (*.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 x 2)) 1/3)
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (.f64 (-.f64 1 z) (pow.f64 x 10))) 1/9) (.f64 y z))) (pow.f64 (.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 x 2)) 1/3))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (.f64 (-.f64 1 z) (pow.f64 x 10))) 1/9) (.f64 y z))) (+.f64 (pow.f64 (.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 x 2)) 1/3) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 x 14)) (pow.f64 (-.f64 1 z) 4)) 1/9) (pow.f64 z 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 x 14)) (pow.f64 (-.f64 1 z) 4)) 1/9) (pow.f64 z 2)))) (pow.f64 y 2))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (.f64 (-.f64 1 z) (pow.f64 x 10))) 1/9) (.f64 y z))) (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (-.f64 1 z) x)) 1/3) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 x 7)) (pow.f64 (-.f64 1 z) 2)) 1/3) (pow.f64 z 3))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/3) (pow.f64 z 3))))))) (.f64 -2/27 (.f64 (pow.f64 1 1/9) (/.f64 (.f64 (pow.f64 z 3) (pow.f64 x 2)) (-.f64 1 z))))) (pow.f64 y 3)) (+.f64 (pow.f64 (.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 x 2)) 1/3) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 x 14)) (pow.f64 (-.f64 1 z) 4)) 1/9) (pow.f64 z 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 x 14)) (pow.f64 (-.f64 1 z) 4)) 1/9) (pow.f64 z 2)))) (pow.f64 y 2)))))
(pow.f64 (pow.f64 x 2) 1/3)
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 10)) 1/9) (.f64 z (-.f64 y 1)))) (pow.f64 (pow.f64 x 2) 1/3))
(+.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 x 14)) 1/9) (pow.f64 (-.f64 y 1) 2))) (.f64 1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 x 14)) 1/9) (pow.f64 (-.f64 y 1) 2)))) (pow.f64 z 2)) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 10)) 1/9) (*.f64 z (-.f64 y 1)))) (pow.f64 (pow.f64 x 2) 1/3)))
(+.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 x 14)) 1/9) (pow.f64 (-.f64 y 1) 2))) (.f64 1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 x 14)) 1/9) (pow.f64 (-.f64 y 1) 2)))) (pow.f64 z 2)) (+.f64 (.f64 (pow.f64 z 3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (-.f64 y 1) 3) (pow.f64 (pow.f64 x 7) 1/3)))) (.f64 1/27 (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/3) (pow.f64 (-.f64 y 1) 3)))))) (.f64 -2/27 (.f64 (pow.f64 1 1/9) (.f64 (pow.f64 (-.f64 y 1) 3) (pow.f64 x 2)))))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 10)) 1/9) (*.f64 z (-.f64 y 1)))) (pow.f64 (pow.f64 x 2) 1/3))))
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(*.f64 (-.f64 1 z) x)
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(.f64 y (.f64 z x))
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(.f64 y (.f64 z x))
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
x
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(.f64 z (.f64 (-.f64 y 1) x))
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) (.f64 z x)))
(+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) (.f64 z x))) x)
(+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) (.f64 z x))) x)
(+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) (.f64 z x))) x)

Outputs
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(*.f64 (-.f64 1 z) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(.f64 y (.f64 z x))
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(.f64 y (.f64 z x))
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
x
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(.f64 z (.f64 (-.f64 y 1) x))
(.f64 z (.f64 x (+.f64 y -1)))
(.f64 (.f64 z x) (+.f64 y -1))
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) (.f64 z x)))
(.f64 z (.f64 x (+.f64 y -1)))
(.f64 (.f64 z x) (+.f64 y -1))
(+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) (.f64 z x))) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) (.f64 z x))) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) (.f64 z x))) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(pow.f64 (*.f64 (-.f64 1 z) x) 1/3)
(cbrt.f64 (*.f64 x (-.f64 1 z)))
(cbrt.f64 (-.f64 x (*.f64 z x)))
(+.f64 (pow.f64 (.f64 (-.f64 1 z) x) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 x 7)) (pow.f64 (-.f64 1 z) 2)) 1/9) (*.f64 y z))))
(+.f64 (cbrt.f64 (.f64 x (-.f64 1 z))) (.f64 1/3 (.f64 (.f64 y z) (*.f64 (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/18)))))
(fma.f64 1/3 (.f64 (.f64 (.f64 y z) (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/18)) (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/18)) (cbrt.f64 (.f64 x (-.f64 1 z))))
(fma.f64 (.f64 y z) (.f64 (.f64 1/3 (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/18)) (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/18)) (cbrt.f64 (.f64 x (-.f64 1 z))))
(fma.f64 (.f64 y z) (.f64 (.f64 1/3 (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/18)) (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/18)) (cbrt.f64 (-.f64 x (.f64 z x))))
(+.f64 (pow.f64 (.f64 (-.f64 1 z) x) 1/3) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 x 11)) (pow.f64 (-.f64 1 z) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 z 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 x 7)) (pow.f64 (-.f64 1 z) 2)) 1/9) (*.f64 y z)))))
(+.f64 (cbrt.f64 (.f64 x (-.f64 1 z))) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 x 11) (pow.f64 (-.f64 1 z) 7)) 1/18) (pow.f64 (/.f64 (pow.f64 x 11) (pow.f64 (-.f64 1 z) 7)) 1/18)) (.f64 (.f64 y y) (.f64 z z))) (.f64 1/3 (.f64 (.f64 y z) (.f64 (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/18))))))
(+.f64 (cbrt.f64 (.f64 x (-.f64 1 z))) (fma.f64 -1/9 (.f64 (.f64 (.f64 y (.f64 y (.f64 z z))) (pow.f64 (/.f64 (pow.f64 x 11) (pow.f64 (-.f64 1 z) 7)) 1/18)) (pow.f64 (/.f64 (pow.f64 x 11) (pow.f64 (-.f64 1 z) 7)) 1/18)) (.f64 (.f64 y z) (.f64 (.f64 1/3 (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/18)) (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/18)))))
(fma.f64 (.f64 y z) (.f64 (.f64 1/3 (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/18)) (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/18)) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 x 11) (pow.f64 (-.f64 1 z) 7)) 1/18) (.f64 y z)) (.f64 (pow.f64 (/.f64 (pow.f64 x 11) (pow.f64 (-.f64 1 z) 7)) 1/18) (.f64 y z))) (cbrt.f64 (*.f64 x (-.f64 1 z)))))
(fma.f64 (.f64 y z) (.f64 (.f64 1/3 (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/18)) (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/18)) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 x 11) (pow.f64 (-.f64 1 z) 7)) 1/18) (.f64 y z)) (.f64 (pow.f64 (/.f64 (pow.f64 x 11) (pow.f64 (-.f64 1 z) 7)) 1/18) (.f64 y z))) (cbrt.f64 (-.f64 x (*.f64 z x)))))
(+.f64 (pow.f64 (.f64 (-.f64 1 z) x) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 x 2))) 1/3) (.f64 (pow.f64 y 3) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 x 7)) (pow.f64 (-.f64 1 z) 2)) 1/3) (pow.f64 z 3))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/3) (pow.f64 z 3)))))))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 x 11)) (pow.f64 (-.f64 1 z) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 z 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 x 7)) (pow.f64 (-.f64 1 z) 2)) 1/9) (*.f64 y z))))))
(+.f64 (cbrt.f64 (.f64 x (-.f64 1 z))) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 z) 2) (.f64 x x)))) (.f64 (pow.f64 y 3) (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2))) (pow.f64 z 3)) (.f64 -2/9 (.f64 (cbrt.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2))) (pow.f64 z 3)))))) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 x 11) (pow.f64 (-.f64 1 z) 7)) 1/18) (pow.f64 (/.f64 (pow.f64 x 11) (pow.f64 (-.f64 1 z) 7)) 1/18)) (.f64 (.f64 y y) (.f64 z z))) (.f64 1/3 (.f64 (.f64 y z) (*.f64 (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/18)))))))
(+.f64 (cbrt.f64 (.f64 x (-.f64 1 z))) (fma.f64 -1/3 (.f64 (pow.f64 y 3) (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2))) (pow.f64 z 3)) -5/27) (cbrt.f64 (/.f64 (/.f64 1 (.f64 x x)) (pow.f64 (-.f64 1 z) 2))))) (fma.f64 -1/9 (.f64 (.f64 (.f64 y (.f64 y (.f64 z z))) (pow.f64 (/.f64 (pow.f64 x 11) (pow.f64 (-.f64 1 z) 7)) 1/18)) (pow.f64 (/.f64 (pow.f64 x 11) (pow.f64 (-.f64 1 z) 7)) 1/18)) (.f64 (.f64 y z) (.f64 (*.f64 1/3 (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/18)) (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/18))))))
(fma.f64 (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2))) (pow.f64 z 3)) (pow.f64 y 3)) -5/27) (.f64 -1/3 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 z) 2) (.f64 x x))))) (fma.f64 (.f64 y z) (.f64 (.f64 1/3 (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/18)) (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/18)) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 x 11) (pow.f64 (-.f64 1 z) 7)) 1/18) (.f64 y z)) (.f64 (pow.f64 (/.f64 (pow.f64 x 11) (pow.f64 (-.f64 1 z) 7)) 1/18) (.f64 y z))) (cbrt.f64 (*.f64 x (-.f64 1 z))))))
(fma.f64 (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2))) (pow.f64 z 3)) (pow.f64 y 3)) -5/27) (.f64 -1/3 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 1 z) 2) (.f64 x x))))) (fma.f64 (.f64 y z) (.f64 (.f64 1/3 (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/18)) (pow.f64 (/.f64 (pow.f64 x 7) (pow.f64 (-.f64 1 z) 2)) 1/18)) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 x 11) (pow.f64 (-.f64 1 z) 7)) 1/18) (.f64 y z)) (.f64 (pow.f64 (/.f64 (pow.f64 x 11) (pow.f64 (-.f64 1 z) 7)) 1/18) (.f64 y z))) (cbrt.f64 (-.f64 x (*.f64 z x))))))
(pow.f64 x 1/3)
(cbrt.f64 x)
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(*.f64 (-.f64 1 z) x)
(*.f64 x (-.f64 1 z))
(-.f64 x (*.f64 z x))
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(.f64 y (.f64 z x))
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(.f64 y (.f64 z x))
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
x
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(.f64 z (.f64 (-.f64 y 1) x))
(.f64 z (.f64 x (+.f64 y -1)))
(.f64 (.f64 z x) (+.f64 y -1))
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) (.f64 z x)))
(.f64 z (.f64 x (+.f64 y -1)))
(.f64 (.f64 z x) (+.f64 y -1))
(+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) (.f64 z x))) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) (.f64 z x))) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)
(+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) (.f64 z x))) x)
(*.f64 (-.f64 (fma.f64 y z 1) z) x)
(*.f64 (fma.f64 y z (-.f64 1 z)) x)

localize9.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 1 z) x)

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize32.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 (.f64 y z) x))
✓	6.4b	(.f64 (.f64 y z) x)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series9.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite86.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

857×	`pow1_binary64`
795×	`add-log-exp_binary64`
794×	`log1p-expm1-u_binary64`
794×	`expm1-log1p-u_binary64`
777×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	152	15
2	2167	15

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(.f64 (.f64 y z) x)
(+.f64 x (.f64 (.f64 y z) x))

Outputs

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

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

simplify120.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

175×	`fma-def_binary64`
124×	`fma-neg_binary64`
60×	`associate-l_binary64`
53×	`associate-r_binary64`
43×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	522
1	39	522
2	93	522
3	222	522
4	443	522
5	671	522
6	807	522
7	853	522

Stop Event

1×

saturated

Counts

124 → 58

Calls

Call 1

Inputs
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 (+.f64 (.f64 y z) 1) x)
(.f64 (+.f64 (.f64 y z) 1) x)
(.f64 (+.f64 (.f64 y z) 1) x)
(.f64 (+.f64 (.f64 y z) 1) x)
(.f64 (+.f64 (.f64 y z) 1) x)
(.f64 (+.f64 (.f64 y z) 1) x)
(.f64 (+.f64 (.f64 y z) 1) x)
(.f64 (+.f64 (.f64 y z) 1) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 y z)) 1) x))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 y z)) 1) x))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 y z)) 1) x))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 y z)) 1) x))
x
(+.f64 (.f64 y (.f64 z x)) x)
(+.f64 (.f64 y (.f64 z x)) x)
(+.f64 (.f64 y (.f64 z x)) x)
(.f64 y (.f64 z x))
(+.f64 (.f64 y (.f64 z x)) x)
(+.f64 (.f64 y (.f64 z x)) x)
(+.f64 (.f64 y (.f64 z x)) x)
(.f64 y (.f64 z x))
(+.f64 (.f64 y (.f64 z x)) x)
(+.f64 (.f64 y (.f64 z x)) x)
(+.f64 (.f64 y (.f64 z x)) x)
x
(+.f64 (.f64 y (.f64 z x)) x)
(+.f64 (.f64 y (.f64 z x)) x)
(+.f64 (.f64 y (.f64 z x)) x)
(.f64 y (.f64 z x))
(+.f64 (.f64 y (.f64 z x)) x)
(+.f64 (.f64 y (.f64 z x)) x)
(+.f64 (.f64 y (.f64 z x)) x)
(.f64 y (.f64 z x))
(+.f64 (.f64 y (.f64 z x)) x)
(+.f64 (.f64 y (.f64 z x)) x)
(+.f64 (.f64 y (.f64 z x)) x)

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

localize29.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (sqrt.f64 (.f64 (.f64 y x) z)) 2)
✓	6.9b	(.f64 (.f64 y x) z)
✓	12.1b	(sqrt.f64 (.f64 (.f64 y x) z))

Compiler

Compiled 29 to 9 computations (69% saved)

series42.0ms (0.2%)

Counts

3 → 36

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (.f64 (.f64 y x) z)) 2)
4.0ms	z	@	inf	(pow.f64 (sqrt.f64 (.f64 (.f64 y x) z)) 2)
3.0ms	y	@	0	(pow.f64 (sqrt.f64 (.f64 (.f64 y x) z)) 2)
3.0ms	z	@	-inf	(pow.f64 (sqrt.f64 (.f64 (.f64 y x) z)) 2)
2.0ms	y	@	0	(sqrt.f64 (.f64 (.f64 y x) z))

rewrite85.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

734×	`pow1_binary64`
676×	`add-log-exp_binary64`
676×	`log1p-expm1-u_binary64`
676×	`expm1-log1p-u_binary64`
659×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	185	23
2	1901	23

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (.f64 y x) z))
(.f64 (.f64 y x) z)
(pow.f64 (sqrt.f64 (.f64 (.f64 y x) z)) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 y (*.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 y (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (*.f64 x z))) (cbrt.f64 (sqrt.f64 (*.f64 y (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (*.f64 x z)))) (cbrt.f64 (*.f64 y (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (pow.f64 (*.f64 x z) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (*.f64 x z)) 1/4) (pow.f64 (*.f64 y (*.f64 x z)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x z))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 y (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 y (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x z))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x z))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 x z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 x z)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (*.f64 x z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 x z)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 y (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 y (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 x z)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 y (*.f64 x z)))))))))

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

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	10	252
2	17	252
3	19	252

Stop Event

1×

saturated

Counts

110 → 66

Calls

Call 1

Inputs
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))

Outputs
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))

eval452.0ms (2.6%)

Compiler: Compiled 11359 to 7262 computations (36.1% saved)

prune77.0ms (0.4%)

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	455	5	460
Fresh	3	4	7
Picked	0	1	1
Done	1	6	7
Total	459	16	475

Error

Counts

475 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.3b	(*.f64 (-.f64 1 z) x)
▶	21.1b	(.f64 x (-.f64 1 (pow.f64 (cbrt.f64 (.f64 y (neg.f64 z))) 3)))
	47.5b	(.f64 (.f64 z y) x)
	36.1b	x
	45.4b	(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (*.f64 y x)))
✓	45.8b	(.f64 y (.f64 z x))
✓	3.6b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
▶	45.2b	(.f64 (.f64 y x) z)
✓	19.3b	(-.f64 x (*.f64 z x))
✓	45.4b	(*.f64 z (neg.f64 x))
✓	20.9b	(+.f64 x (.f64 (.f64 y z) x))
▶	46.1b	(.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 2) (cbrt.f64 (.f64 y (*.f64 x z))))
▶	19.4b	(+.f64 (.f64 y (.f64 z x)) x)
▶	28.4b	(.f64 z (-.f64 (.f64 y x) x))
	21.7b	(pow.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 y z) x))) 3)
✓	55.1b	(pow.f64 (sqrt.f64 (.f64 (.f64 y x) z)) 2)

Compiler

Compiled 258 to 167 computations (35.3% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y (.f64 z x)) x)
	2.9b	(.f64 y (.f64 z x))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series2.0ms (0%)

Counts

1 → 18

Calls

9 calls:

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

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`pow1_binary64`
774×	`add-log-exp_binary64`
774×	`log1p-expm1-u_binary64`
774×	`expm1-log1p-u_binary64`
756×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	151	8
2	2109	8

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(+.f64 (.f64 y (.f64 z x)) x)

Outputs

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

simplify29.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

168×	`fma-def_binary64`
128×	`fma-neg_binary64`
60×	`associate-l_binary64`
49×	`associate-r_binary64`
44×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	126
1	36	126
2	88	126
3	221	126
4	438	126
5	668	126
6	809	126
7	855	126

Stop Event

1×

saturated

Counts

57 → 44

Calls

Call 1

Inputs
x
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
x
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 (+.f64 (.f64 y z) 1) x)
(.f64 (+.f64 (.f64 y z) 1) x)
(.f64 (+.f64 (.f64 y z) 1) x)
(.f64 (+.f64 (.f64 y z) 1) x)
(.f64 (+.f64 (.f64 y z) 1) x)
(.f64 (+.f64 (.f64 y z) 1) x)
(.f64 (+.f64 (.f64 y z) 1) x)
(.f64 (+.f64 (.f64 y z) 1) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 y z)) 1) x))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 y z)) 1) x))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 y z)) 1) x))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (.f64 y z)) 1) x))

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	6.9b	(.f64 (.f64 y x) z)

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 y x) x)
✓	3.6b	(.f64 z (-.f64 (.f64 y x) x))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series8.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

826×	`pow1_binary64`
764×	`add-log-exp_binary64`
764×	`log1p-expm1-u_binary64`
764×	`expm1-log1p-u_binary64`
747×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	150	17
2	2061	17

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(.f64 z (-.f64 (.f64 y x) x))
(-.f64 (*.f64 y x) x)

Outputs

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

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

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

427×	`fma-def_binary64`
226×	`fma-neg_binary64`
80×	`cancel-sign-sub-inv_binary64`
75×	`associate-l_binary64`
75×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	508
1	65	508
2	156	508
3	335	508
4	739	508
5	1153	508
6	1541	508
7	1612	508

Stop Event

1×

saturated

Counts

117 → 73

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.6b	(pow.f64 (cbrt.f64 (*.f64 y (neg.f64 z))) 3)
✓	3.4b	(.f64 x (-.f64 1 (pow.f64 (cbrt.f64 (.f64 y (neg.f64 z))) 3)))
✓	12.7b	(cbrt.f64 (*.f64 y (neg.f64 z)))

Compiler

Compiled 46 to 19 computations (58.7% saved)

series16.0ms (0.1%)

Counts

3 → 18

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(.f64 x (-.f64 1 (pow.f64 (cbrt.f64 (.f64 y (neg.f64 z))) 3)))
1.0ms	y	@	inf	(pow.f64 (cbrt.f64 (*.f64 y (neg.f64 z))) 3)
1.0ms	y	@	0	(.f64 x (-.f64 1 (pow.f64 (cbrt.f64 (.f64 y (neg.f64 z))) 3)))
1.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 y (neg.f64 z))) 3)
1.0ms	z	@	inf	(pow.f64 (cbrt.f64 (*.f64 y (neg.f64 z))) 3)

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`pow1_binary64`
894×	`add-log-exp_binary64`
893×	`log1p-expm1-u_binary64`
893×	`expm1-log1p-u_binary64`
114×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	254	20
2	2912	20

Stop Event

1×	node limit

Counts

3 → 86

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 y (neg.f64 z)))
(.f64 x (-.f64 1 (pow.f64 (cbrt.f64 (.f64 y (neg.f64 z))) 3)))
(pow.f64 (cbrt.f64 (*.f64 y (neg.f64 z))) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) 2) (cbrt.f64 (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y z) 1/6) (pow.f64 (*.f64 y z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 y z)) 1/3) (pow.f64 (sqrt.f64 (*.f64 y z)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y z) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 y z))))))))

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y z) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y z)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (neg.f64 (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y z)) (neg.f64 (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y z) 1/6) (*.f64 (pow.f64 (*.f64 y z) 1/6) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) 2) 3) (cbrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 y z) 1/6) 3) (pow.f64 (pow.f64 (*.f64 y z) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (cbrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -1) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) 1) (cbrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 y)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (pow.f64 (*.f64 y z) 1/6)) (pow.f64 (*.f64 y z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y z)))))))

simplify7.0s (40.4%)

Algorithm

1×	egg-herbie

Rules

1766×	`sqr-pow_binary64`
1765×	`pow-base-1_binary64`
277×	`fma-def_binary64`
69×	`associate-l_binary64`
66×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	162
1	37	126
2	77	102
3	173	102
4	337	102
5	550	102
6	722	102
7	833	102
8	969	102
9	973	102
10	977	102
11	981	102
12	985	102
13	989	102
14	993	102
15	997	102
16	1001	102
17	1005	102
18	1009	102
19	1013	102
20	1017	102
21	1021	102
22	1025	102
23	1029	102
24	1033	102
25	1037	102
26	1041	102
27	1045	102
28	1049	102
29	1053	102
30	1057	102
31	1061	102
32	1065	102
33	1069	102
34	1073	102
35	1077	102
36	1081	102
37	1085	102
38	1089	102
39	1093	102
40	1097	102
41	1101	102
42	1105	102
43	1109	102
44	1113	102
45	1117	102
46	1121	102
47	1125	102
48	1129	102
49	1133	102
50	1137	102
51	1141	102
52	1145	102
53	1149	102
54	1153	102
55	1157	102
56	1161	102
57	1165	102
58	1169	102
59	1173	102
60	1177	102
61	1181	102
62	1185	102
63	1189	102
64	1193	102
65	1197	102
66	1201	102
67	1205	102
68	1209	102
69	1213	102
70	1217	102
71	1221	102
72	1225	102
73	1229	102
74	1233	102
75	1237	102
76	1241	102
77	1245	102
78	1249	102
79	1253	102
80	1257	102
81	1261	102
82	1265	102
83	1269	102
84	1273	102
85	1277	102
86	1281	102
87	1285	102
88	1289	102
89	1293	102
90	1297	102
91	1301	102
92	1305	102
93	1309	102
94	1313	102
95	1317	102
96	1321	102
97	1325	102
98	1329	102
99	1333	102
100	1337	102
101	1341	102
102	1345	102
103	1349	102
104	1353	102
105	1357	102
106	1361	102
107	1365	102
108	1369	102
109	1373	102
110	1377	102
111	1381	102
112	1385	102
113	1389	102
114	1393	102
115	1397	102
116	1401	102
117	1405	102
118	1409	102
119	1413	102
120	1417	102
121	1421	102
122	1425	102
123	1429	102
124	1433	102
125	1437	102
126	1441	102
127	1445	102
128	1449	102
129	1453	102
130	1457	102
131	1461	102
132	1465	102
133	1469	102
134	1473	102
135	1477	102
136	1481	102
137	1485	102
138	1489	102
139	1493	102
140	1497	102
141	1501	102
142	1505	102
143	1509	102
144	1513	102
145	1517	102
146	1521	102
147	1525	102
148	1529	102
149	1533	102
150	1537	102
151	1541	102
152	1545	102
153	1549	102
154	1553	102
155	1557	102
156	1561	102
157	1565	102
158	1569	102
159	1573	102
160	1577	102
161	1581	102
162	1585	102
163	1589	102
164	1593	102
165	1597	102
166	1601	102
167	1605	102
168	1609	102
169	1613	102
170	1617	102
171	1621	102
172	1625	102
173	1629	102
174	1633	102
175	1637	102
176	1641	102
177	1645	102
178	1649	102
179	1653	102
180	1657	102
181	1661	102
182	1665	102
183	1669	102
184	1673	102
185	1677	102
186	1681	102
187	1685	102
188	1689	102
189	1693	102
190	1697	102
191	1701	102
192	1705	102
193	1709	102
194	1713	102
195	1717	102
196	1721	102
197	1725	102
198	1729	102
199	1733	102
200	1737	102
201	1741	102
202	1745	102
203	1749	102
204	1753	102
205	1757	102
206	1761	102
207	1765	102
208	1769	102
209	1773	102
210	1777	102
211	1781	102
212	1785	102
213	1789	102
214	1793	102
215	1797	102
216	1801	102
217	1805	102
218	1809	102
219	1813	102
220	1817	102
221	1821	102
222	1825	102
223	1829	102
224	1833	102
225	1837	102
226	1841	102
227	1845	102
228	1849	102
229	1853	102
230	1857	102
231	1861	102
232	1865	102
233	1869	102
234	1873	102
235	1877	102
236	1881	102
237	1885	102
238	1889	102
239	1893	102
240	1897	102
241	1901	102
242	1905	102
243	1909	102
244	1913	102
245	1917	102
246	1921	102
247	1925	102
248	1929	102
249	1933	102
250	1937	102
251	1941	102
252	1945	102
253	1949	102
254	1953	102
255	1957	102
256	1961	102
257	1965	102
258	1969	102
259	1973	102
260	1977	102
261	1981	102
262	1985	102
263	1989	102
264	1993	102
265	1997	102
266	2001	102
267	2005	102
268	2009	102
269	2013	102
270	2017	102
271	2021	102
272	2025	102
273	2029	102
274	2033	102
275	2037	102
276	2041	102
277	2045	102
278	2049	102
279	2053	102
280	2057	102
281	2061	102
282	2065	102
283	2069	102
284	2073	102
285	2077	102
286	2081	102
287	2085	102
288	2089	102
289	2093	102
290	2097	102
291	2101	102
292	2105	102
293	2109	102
294	2113	102
295	2117	102
296	2121	102
297	2125	102
298	2129	102
299	2133	102
300	2137	102
301	2141	102
302	2145	102
303	2149	102
304	2153	102
305	2157	102
306	2161	102
307	2165	102
308	2169	102
309	2173	102
310	2177	102
311	2181	102
312	2185	102
313	2189	102
314	2193	102
315	2197	102
316	2201	102
317	2205	102
318	2209	102
319	2213	102
320	2217	102
321	2221	102
322	2225	102
323	2229	102
324	2233	102
325	2237	102
326	2241	102
327	2245	102
328	2249	102
329	2253	102
330	2257	102
331	2261	102
332	2265	102
333	2269	102
334	2273	102
335	2277	102
336	2281	102
337	2285	102
338	2289	102
339	2293	102
340	2297	102
341	2301	102
342	2305	102
343	2309	102
344	2313	102
345	2317	102
346	2321	102
347	2325	102
348	2329	102
349	2333	102
350	2337	102
351	2341	102
352	2345	102
353	2349	102
354	2353	102
355	2357	102
356	2361	102
357	2365	102
358	2369	102
359	2373	102
360	2377	102
361	2381	102
362	2385	102
363	2389	102
364	2393	102
365	2397	102
366	2401	102
367	2405	102
368	2409	102
369	2413	102
370	2417	102
371	2421	102
372	2425	102
373	2429	102
374	2433	102
375	2437	102
376	2441	102
377	2445	102
378	2449	102
379	2453	102
380	2457	102
381	2461	102
382	2465	102
383	2469	102
384	2473	102
385	2477	102
386	2481	102
387	2485	102
388	2489	102
389	2493	102
390	2497	102
391	2501	102
392	2505	102
393	2509	102
394	2513	102
395	2517	102
396	2521	102
397	2525	102
398	2529	102
399	2533	102
400	2537	102
401	2541	102
402	2545	102
403	2549	102
404	2553	102
405	2557	102
406	2561	102
407	2565	102
408	2569	102
409	2573	102
410	2577	102
411	2581	102
412	2585	102
413	2589	102
414	2593	102
415	2597	102
416	2601	102
417	2605	102
418	2609	102
419	2613	102
420	2617	102
421	2621	102
422	2625	102
423	2629	102
424	2633	102
425	2637	102
426	2641	102
427	2645	102
428	2649	102
429	2653	102
430	2657	102
431	2661	102
432	2665	102
433	2669	102
434	2673	102
435	2677	102
436	2681	102
437	2685	102
438	2689	102
439	2693	102
440	2697	102
441	2701	102
442	2705	102
443	2709	102
444	2713	102
445	2717	102
446	2721	102
447	2725	102
448	2729	102
449	2733	102
450	2737	102
451	2741	102
452	2745	102
453	2749	102
454	2753	102
455	2757	102
456	2761	102
457	2765	102
458	2769	102
459	2773	102
460	2777	102
461	2781	102
462	2785	102
463	2789	102
464	2793	102
465	2797	102
466	2801	102
467	2805	102
468	2809	102
469	2813	102
470	2817	102
471	2821	102
472	2825	102
473	2829	102
474	2833	102
475	2837	102
476	2841	102
477	2845	102
478	2849	102
479	2853	102
480	2857	102
481	2861	102
482	2865	102
483	2869	102
484	2873	102
485	2877	102
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1440	6697	102
1441	6701	102
1442	6705	102
1443	6709	102
1444	6713	102
1445	6717	102
1446	6721	102
1447	6725	102
1448	6729	102
1449	6733	102
1450	6737	102
1451	6741	102
1452	6745	102
1453	6749	102
1454	6753	102
1455	6757	102
1456	6761	102
1457	6765	102
1458	6769	102
1459	6773	102
1460	6777	102
1461	6781	102
1462	6785	102
1463	6789	102
1464	6793	102
1465	6797	102
1466	6801	102
1467	6805	102
1468	6809	102
1469	6813	102
1470	6817	102
1471	6821	102
1472	6825	102
1473	6829	102
1474	6833	102
1475	6837	102
1476	6841	102
1477	6845	102
1478	6849	102
1479	6853	102
1480	6857	102
1481	6861	102
1482	6865	102
1483	6869	102
1484	6873	102
1485	6877	102
1486	6881	102
1487	6885	102
1488	6889	102
1489	6893	102
1490	6897	102
1491	6901	102
1492	6905	102
1493	6909	102
1494	6913	102
1495	6917	102
1496	6921	102
1497	6925	102
1498	6929	102
1499	6933	102
1500	6937	102
1501	6941	102
1502	6945	102
1503	6949	102
1504	6953	102
1505	6957	102
1506	6961	102
1507	6965	102
1508	6969	102
1509	6973	102
1510	6977	102
1511	6981	102
1512	6985	102
1513	6989	102
1514	6993	102
1515	6997	102
1516	7001	102
1517	7005	102
1518	7009	102
1519	7013	102
1520	7017	102
1521	7021	102
1522	7025	102
1523	7029	102
1524	7033	102
1525	7037	102
1526	7041	102
1527	7045	102
1528	7049	102
1529	7053	102
1530	7057	102
1531	7061	102
1532	7065	102
1533	7069	102
1534	7073	102
1535	7077	102
1536	7081	102
1537	7085	102
1538	7089	102
1539	7093	102
1540	7097	102
1541	7101	102
1542	7105	102
1543	7109	102
1544	7113	102
1545	7117	102
1546	7121	102
1547	7125	102
1548	7129	102
1549	7133	102
1550	7137	102
1551	7141	102
1552	7145	102
1553	7149	102
1554	7153	102
1555	7157	102
1556	7161	102
1557	7165	102
1558	7169	102
1559	7173	102
1560	7177	102
1561	7181	102
1562	7185	102
1563	7189	102
1564	7193	102
1565	7197	102
1566	7201	102
1567	7205	102
1568	7209	102
1569	7213	102
1570	7217	102
1571	7221	102
1572	7225	102
1573	7229	102
1574	7233	102
1575	7237	102
1576	7241	102
1577	7245	102
1578	7249	102
1579	7253	102
1580	7257	102
1581	7261	102
1582	7265	102
1583	7269	102
1584	7273	102
1585	7277	102
1586	7281	102
1587	7285	102
1588	7289	102
1589	7293	102
1590	7297	102
1591	7301	102
1592	7305	102
1593	7309	102
1594	7313	102
1595	7317	102
1596	7321	102
1597	7325	102
1598	7329	102
1599	7333	102
1600	7337	102
1601	7341	102
1602	7345	102
1603	7349	102
1604	7353	102
1605	7357	102
1606	7361	102
1607	7365	102
1608	7369	102
1609	7373	102
1610	7377	102
1611	7381	102
1612	7385	102
1613	7389	102
1614	7393	102
1615	7397	102
1616	7401	102
1617	7405	102
1618	7409	102
1619	7413	102
1620	7417	102
1621	7421	102
1622	7425	102
1623	7429	102
1624	7433	102
1625	7437	102
1626	7441	102
1627	7445	102
1628	7449	102
1629	7453	102
1630	7457	102
1631	7461	102
1632	7465	102
1633	7469	102
1634	7473	102
1635	7477	102
1636	7481	102
1637	7485	102
1638	7489	102
1639	7493	102
1640	7497	102
1641	7501	102
1642	7505	102
1643	7509	102
1644	7513	102
1645	7517	102
1646	7521	102
1647	7525	102
1648	7529	102
1649	7533	102
1650	7537	102
1651	7541	102
1652	7545	102
1653	7549	102
1654	7553	102
1655	7557	102
1656	7561	102
1657	7565	102
1658	7569	102
1659	7573	102
1660	7577	102
1661	7581	102
1662	7585	102
1663	7589	102
1664	7593	102
1665	7597	102
1666	7601	102
1667	7605	102
1668	7609	102
1669	7613	102
1670	7617	102
1671	7621	102
1672	7625	102
1673	7629	102
1674	7633	102
1675	7637	102
1676	7641	102
1677	7645	102
1678	7649	102
1679	7653	102
1680	7657	102
1681	7661	102
1682	7665	102
1683	7669	102
1684	7673	102
1685	7677	102
1686	7681	102
1687	7685	102
1688	7689	102
1689	7693	102
1690	7697	102
1691	7701	102
1692	7705	102
1693	7709	102
1694	7713	102
1695	7717	102
1696	7721	102
1697	7725	102
1698	7729	102
1699	7733	102
1700	7737	102
1701	7741	102
1702	7745	102
1703	7749	102
1704	7753	102
1705	7757	102
1706	7761	102
1707	7765	102
1708	7769	102
1709	7773	102
1710	7777	102
1711	7781	102
1712	7785	102
1713	7789	102
1714	7793	102
1715	7797	102
1716	7801	102
1717	7805	102
1718	7809	102
1719	7813	102
1720	7817	102
1721	7821	102
1722	7825	102
1723	7829	102
1724	7833	102
1725	7837	102
1726	7841	102
1727	7845	102
1728	7849	102
1729	7853	102
1730	7857	102
1731	7861	102
1732	7865	102
1733	7869	102
1734	7873	102
1735	7877	102
1736	7881	102
1737	7885	102
1738	7889	102
1739	7893	102
1740	7897	102
1741	7901	102
1742	7905	102
1743	7909	102
1744	7913	102
1745	7917	102
1746	7921	102
1747	7925	102
1748	7929	102
1749	7933	102
1750	7937	102
1751	7941	102
1752	7945	102
1753	7949	102
1754	7953	102
1755	7957	102
1756	7961	102
1757	7965	102
1758	7969	102
1759	7973	102
1760	7977	102
1761	7981	102
1762	7985	102
1763	7989	102
1764	7993	102
1765	7997	102

Stop Event

1×	node limit

Counts

104 → 89

Calls

Call 1

Inputs
(.f64 (-.f64 1 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z)))) x)
(.f64 (-.f64 1 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z)))) x)
(.f64 (-.f64 1 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z)))) x)
(.f64 (-.f64 1 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z)))) x)
(.f64 (-.f64 1 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z)))) x)
(.f64 (-.f64 1 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z)))) x)
(.f64 (-.f64 1 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z)))) x)
(.f64 (-.f64 1 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z)))) x)
(.f64 (-.f64 1 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z)))) x)
(.f64 (-.f64 1 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z)))) x)
(.f64 (-.f64 1 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z)))) x)
(.f64 (-.f64 1 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z)))) x)
x
x
x
x
x
x

Outputs
(.f64 (-.f64 1 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z)))) x)
(.f64 (-.f64 1 (.f64 -1 (*.f64 y z))) x)
(.f64 (+.f64 1 (.f64 y z)) x)
(*.f64 (fma.f64 y z 1) x)
(fma.f64 z (*.f64 y x) x)
(fma.f64 y (*.f64 z x) x)
(.f64 (-.f64 1 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z)))) x)
(.f64 (-.f64 1 (.f64 -1 (*.f64 y z))) x)
(.f64 (+.f64 1 (.f64 y z)) x)
(*.f64 (fma.f64 y z 1) x)
(fma.f64 z (*.f64 y x) x)
(fma.f64 y (*.f64 z x) x)
(.f64 (-.f64 1 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z)))) x)
(.f64 (-.f64 1 (.f64 -1 (*.f64 y z))) x)
(.f64 (+.f64 1 (.f64 y z)) x)
(*.f64 (fma.f64 y z 1) x)
(fma.f64 z (*.f64 y x) x)
(fma.f64 y (*.f64 z x) x)
(.f64 (-.f64 1 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z)))) x)
(.f64 (-.f64 1 (.f64 -1 (*.f64 y z))) x)
(.f64 (+.f64 1 (.f64 y z)) x)
(*.f64 (fma.f64 y z 1) x)
(fma.f64 z (*.f64 y x) x)
(fma.f64 y (*.f64 z x) x)
(.f64 (-.f64 1 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z)))) x)
(.f64 (-.f64 1 (.f64 -1 (*.f64 y z))) x)
(.f64 (+.f64 1 (.f64 y z)) x)
(*.f64 (fma.f64 y z 1) x)
(fma.f64 z (*.f64 y x) x)
(fma.f64 y (*.f64 z x) x)
(.f64 (-.f64 1 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z)))) x)
(.f64 (-.f64 1 (.f64 -1 (*.f64 y z))) x)
(.f64 (+.f64 1 (.f64 y z)) x)
(*.f64 (fma.f64 y z 1) x)
(fma.f64 z (*.f64 y x) x)
(fma.f64 y (*.f64 z x) x)
(.f64 (-.f64 1 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z)))) x)
(.f64 (-.f64 1 (.f64 -1 (*.f64 y z))) x)
(.f64 (+.f64 1 (.f64 y z)) x)
(*.f64 (fma.f64 y z 1) x)
(fma.f64 z (*.f64 y x) x)
(fma.f64 y (*.f64 z x) x)
(.f64 (-.f64 1 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z)))) x)
(.f64 (-.f64 1 (.f64 -1 (*.f64 y z))) x)
(.f64 (+.f64 1 (.f64 y z)) x)
(*.f64 (fma.f64 y z 1) x)
(fma.f64 z (*.f64 y x) x)
(fma.f64 y (*.f64 z x) x)
(.f64 (-.f64 1 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z)))) x)
(.f64 (-.f64 1 (.f64 -1 (*.f64 y z))) x)
(.f64 (+.f64 1 (.f64 y z)) x)
(*.f64 (fma.f64 y z 1) x)
(fma.f64 z (*.f64 y x) x)
(fma.f64 y (*.f64 z x) x)
(.f64 (-.f64 1 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z)))) x)
(.f64 (-.f64 1 (.f64 -1 (*.f64 y z))) x)
(.f64 (+.f64 1 (.f64 y z)) x)
(*.f64 (fma.f64 y z 1) x)
(fma.f64 z (*.f64 y x) x)
(fma.f64 y (*.f64 z x) x)
(.f64 (-.f64 1 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z)))) x)
(.f64 (-.f64 1 (.f64 -1 (*.f64 y z))) x)
(.f64 (+.f64 1 (.f64 y z)) x)
(*.f64 (fma.f64 y z 1) x)
(fma.f64 z (*.f64 y x) x)
(fma.f64 y (*.f64 z x) x)
(.f64 (-.f64 1 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z)))) x)
(.f64 (-.f64 1 (.f64 -1 (*.f64 y z))) x)
(.f64 (+.f64 1 (.f64 y z)) x)
(*.f64 (fma.f64 y z 1) x)
(fma.f64 z (*.f64 y x) x)
(fma.f64 y (*.f64 z x) x)
x
x
x
x
x
x

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 2) (cbrt.f64 (.f64 y (*.f64 x z))))
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 2)
✓	2.9b	(.f64 y (.f64 x z))
✓	13.0b	(cbrt.f64 (.f64 y (.f64 x z)))

Compiler

Compiled 44 to 12 computations (72.7% saved)

series25.0ms (0.1%)

Counts

4 → 72

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 2)
3.0ms	z	@	-inf	(.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 2) (cbrt.f64 (.f64 y (*.f64 x z))))
3.0ms	y	@	-inf	(.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 2) (cbrt.f64 (.f64 y (*.f64 x z))))
1.0ms	x	@	-inf	(.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 2) (cbrt.f64 (.f64 y (*.f64 x z))))
1.0ms	x	@	inf	(.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 2) (cbrt.f64 (.f64 y (*.f64 x z))))

rewrite88.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

796×	`pow1_binary64`
738×	`add-log-exp_binary64`
737×	`log1p-expm1-u_binary64`
737×	`expm1-log1p-u_binary64`
719×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	206	35
2	2122	35

Stop Event

1×	node limit

Counts

4 → 69

Calls

Call 1

Inputs
(cbrt.f64 (.f64 y (.f64 x z)))
(.f64 y (.f64 x z))
(pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 2)
(.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 2) (cbrt.f64 (.f64 y (*.f64 x z))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (.f64 y (.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 y (.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 y (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x z)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 y) (cbrt.f64 (.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 x z)))) 2) (cbrt.f64 (cbrt.f64 (.f64 y (.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 x z)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 x z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 y (.f64 x z)) 1/6) (pow.f64 (.f64 y (.f64 x z)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 y x)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 x z)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 y (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 y (.f64 x z))) 1/3) (pow.f64 (sqrt.f64 (.f64 y (.f64 x z))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 y x) 1/3) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (.f64 x z)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 x z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (.f64 x z)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (.f64 y (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 y (.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 y (.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 y (.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 y (.f64 x z)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 y (.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y (.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 y (.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y (.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 x z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 x z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y (*.f64 x z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 y (.f64 x z))) (cbrt.f64 (.f64 y (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 y) (.f64 (cbrt.f64 (.f64 x z)) (cbrt.f64 (.f64 y (.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 (pow.f64 (.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 x z)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 x z)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 x z)))) (cbrt.f64 (.f64 y (.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 x z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 y (.f64 x z))) (pow.f64 (.f64 y (.f64 x z)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 y (.f64 x z)) 1/6) (sqrt.f64 (.f64 y (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 y (.f64 x z))) (cbrt.f64 y)) (cbrt.f64 (.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 y (.f64 x z))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y (.f64 x z)))) 2)) (cbrt.f64 (cbrt.f64 (.f64 y (.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y (.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (cbrt.f64 (.f64 y (*.f64 x z))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 y (.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y (.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 y (.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y (.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 x z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 x z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y (*.f64 x z))))))))

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	504
1	10	504
2	17	504
3	19	504

Stop Event

1×

saturated

Counts

141 → 57

Calls

Call 1

Inputs
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))

Outputs
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))

eval79.0ms (0.5%)

Compiler: Compiled 4733 to 1828 computations (61.4% saved)

prune69.0ms (0.4%)

Pruning

16 alts after pruning (5 fresh and 11 done)

	Pruned	Kept	Total
New	333	3	336
Fresh	2	2	4
Picked	0	1	1
Done	1	10	11
Total	336	16	352

Error

Counts

352 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.3b	(*.f64 (-.f64 1 z) x)
✓	21.1b	(.f64 x (-.f64 1 (pow.f64 (cbrt.f64 (.f64 y (neg.f64 z))) 3)))
	46.1b	(pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 3)
	47.5b	(.f64 (.f64 z y) x)
✓	45.8b	(.f64 y (.f64 z x))
✓	3.6b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
✓	45.2b	(.f64 (.f64 y x) z)
✓	19.3b	(-.f64 x (*.f64 z x))
	30.7b	(.f64 x (-.f64 (.f64 y z) z))
✓	55.1b	(pow.f64 (sqrt.f64 (.f64 (.f64 y x) z)) 2)
✓	45.4b	(*.f64 z (neg.f64 x))
✓	20.9b	(+.f64 x (.f64 (.f64 y z) x))
✓	46.1b	(.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 x z))) 2) (cbrt.f64 (.f64 y (*.f64 x z))))
✓	19.4b	(+.f64 (.f64 y (.f64 z x)) x)
	36.1b	x
	45.8b	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) 2) (*.f64 x x)) z) (fma.f64 y x x))

Compiler

Compiled 166 to 108 computations (34.9% saved)

regimes433.0ms (2.5%)

Counts

34 → 3

Calls

Call 1

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

Outputs
(.f64 z (-.f64 (.f64 y x) x))
(fma.f64 x (fma.f64 y z (neg.f64 z)) x)
(.f64 z (-.f64 (.f64 y x) x))

Calls

11 calls:

78.0ms	(*.f64 (-.f64 1 y) z)
56.0ms	(*.f64 (-.f64 1 y) z)
47.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
46.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
45.0ms	x

Results

Error	Segments	Branch
0.1b	3	`x`
2.1b	1	`y`
0.1b	3	`z`
0.1b	3	`(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))`
0.1b	3	`(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))`
0.1b	3	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
0.1b	3	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
0.1b	3	`(*.f64 (-.f64 1 y) z)`
0.1b	3	`(*.f64 (-.f64 1 y) z)`
2.1b	1	`(-.f64 1 y)`
2.1b	1	`(-.f64 1 y)`

Compiler

Compiled 412 to 209 computations (49.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.752947274607499e+233	1.3640472659718485e+239
0.0ms	-3.565723313963432e+246	-1.3893613165427457e+246

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes310.0ms (1.8%)

Counts

21 → 3

Calls

Call 1

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

Outputs
(.f64 z (-.f64 (.f64 y x) x))
(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
(.f64 z (-.f64 (.f64 y x) x))

Calls

10 calls:

53.0ms	(*.f64 (-.f64 1 y) z)
51.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
48.0ms	(*.f64 (-.f64 1 y) z)
36.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))
36.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))

Results

Error	Segments	Branch
0.1b	3	`x`
2.1b	1	`y`
0.1b	3	`z`
0.1b	3	`(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))`
0.1b	3	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
0.1b	3	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
0.1b	3	`(*.f64 (-.f64 1 y) z)`
0.1b	3	`(*.f64 (-.f64 1 y) z)`
2.1b	1	`(-.f64 1 y)`
2.1b	1	`(-.f64 1 y)`

Compiler

Compiled 198 to 111 computations (43.9% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.752947274607499e+233	1.3640472659718485e+239
0.0ms	-3.565723313963432e+246	-1.3893613165427457e+246

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes53.0ms (0.3%)

Counts

17 → 3

Calls

Call 1

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

Outputs
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
(+.f64 x (.f64 (.f64 y z) x))
(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)

Calls

3 calls:

25.0ms	z
15.0ms	y
9.0ms	x

Results

Error	Segments	Branch
3.9b	1	`x`
2.2b	2	`y`
0.1b	3	`z`

Compiler

Compiled 102 to 46 computations (54.9% saved)

bsearch36.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	4.986159065514463e-87	8.480991975161941e-87
18.0ms	-2.6376144672932906e-30	-1.0558917861643877e-38

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes87.0ms (0.5%)

Counts

16 → 3

Calls

Call 1

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

Outputs
(.f64 z (-.f64 (.f64 y x) x))
(+.f64 x (.f64 (.f64 y z) x))
(.f64 z (-.f64 (.f64 y x) x))

Calls

3 calls:

36.0ms	x
24.0ms	y
23.0ms	z

Results

Error	Segments	Branch
13.1b	5	`x`
2.8b	3	`y`
0.8b	3	`z`

Compiler

Compiled 93 to 41 computations (55.9% saved)

bsearch36.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	1.583013194625646e-6	6.8685049500192225e-6
18.0ms	-1.841073836502696e-13	-6.337637843331155e-18

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes95.0ms (0.6%)

Counts

14 → 3

Calls

Call 1

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

Outputs
(+.f64 (.f64 y (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(+.f64 (.f64 y (.f64 z x)) x)

Calls

3 calls:

48.0ms	x
22.0ms	y
22.0ms	z

Results

Error	Segments	Branch
13.1b	6	`x`
2.8b	3	`y`
4.3b	3	`z`

Compiler

Compiled 78 to 34 computations (56.4% saved)

bsearch36.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.0003412031599407887	0.0006936896789536232
17.0ms	-25952.18790902413	-5.202389657302897

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes98.0ms (0.6%)

Counts

12 → 5

Calls

Call 1

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

Outputs
(.f64 (.f64 y x) z)
(*.f64 (-.f64 1 z) x)
(.f64 x (-.f64 (.f64 y z) z))
x
(.f64 (.f64 y x) z)

Calls

3 calls:

38.0ms	y
37.0ms	x
20.0ms	z

Results

Error	Segments	Branch
16.4b	5	`x`
7.2b	5	`y`
13.0b	3	`z`

Compiler

Compiled 64 to 31 computations (51.6% saved)

bsearch206.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
64.0ms	1.0996843743118655e+126	4.082017537094393e+127
106.0ms	6.472302082844747e+73	1.1426495531610745e+75
18.0ms	228737.93265213745	721268249.2889566
17.0ms	-1.4775314561492657e+33	-2.351556968548285e+26

Compiler

Compiled 228 to 161 computations (29.4% saved)

regimes54.0ms (0.3%)

Counts

11 → 5

Calls

Call 1

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

Outputs
(.f64 (.f64 y x) z)
(*.f64 (-.f64 1 z) x)
(.f64 (.f64 y x) z)
x
(.f64 (.f64 y x) z)

Calls

3 calls:

38.0ms	y
7.0ms	x
7.0ms	z

Results

Error	Segments	Branch
19.3b	1	`x`
7.3b	5	`y`
19.3b	1	`z`

Compiler

Compiled 57 to 28 computations (50.9% saved)

bsearch410.0ms (2.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
261.0ms	1.0996843743118655e+126	4.082017537094393e+127
113.0ms	6.472302082844747e+73	1.1426495531610745e+75
18.0ms	228737.93265213745	721268249.2889566
17.0ms	-1.4775314561492657e+33	-2.351556968548285e+26

Compiler

Compiled 214 to 154 computations (28% saved)

regimes170.0ms (1%)

Counts

7 → 5

Calls

Call 1

Inputs
x
x
x
(*.f64 z (neg.f64 x))
(.f64 (.f64 z y) x)
(.f64 (.f64 y x) z)
(.f64 x (.f64 z y))

Outputs
(*.f64 z (neg.f64 x))
(.f64 (.f64 y x) z)
x
(.f64 (.f64 y x) z)
(*.f64 z (neg.f64 x))

Calls

3 calls:

75.0ms	x
69.0ms	y
23.0ms	z

Results

Error	Segments	Branch
30.3b	7	`x`
19.3b	9	`y`
17.5b	5	`z`

Compiler

Compiled 37 to 19 computations (48.6% saved)

bsearch272.0ms (1.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
61.0ms	6.8685049500192225e-6	1446590271800995300.0
18.0ms	8.36629881051669e-41	5.535080333208874e-36
19.0ms	-6.337637843331155e-18	-3.9322444364212413e-19
174.0ms	-8.043186569540581e+30	-1.2657544430530563e+23

Compiler

Compiled 205 to 146 computations (28.8% saved)

regimes165.0ms (1%)

Counts

5 → 5

Calls

Call 1

Inputs
x
x
x
(*.f64 z (neg.f64 x))
(.f64 (.f64 z y) x)

Outputs
(*.f64 z (neg.f64 x))
(.f64 (.f64 z y) x)
x
(.f64 (.f64 z y) x)
(*.f64 z (neg.f64 x))

Calls

3 calls:

71.0ms	y
67.0ms	x
25.0ms	z

Results

Error	Segments	Branch
32.6b	5	`x`
21.6b	9	`y`
17.5b	5	`z`

Compiler

Compiled 27 to 16 computations (40.7% saved)

bsearch347.0ms (2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
86.0ms	6.8685049500192225e-6	1446590271800995300.0
22.0ms	8.36629881051669e-41	5.535080333208874e-36
31.0ms	-6.337637843331155e-18	-3.9322444364212413e-19
207.0ms	-8.043186569540581e+30	-1.2657544430530563e+23

Compiler

Compiled 205 to 146 computations (28.8% saved)

regimes84.0ms (0.5%)

Counts

4 → 3

Calls

Call 1

Inputs
x
x
x
(*.f64 z (neg.f64 x))

Outputs
(*.f64 z (neg.f64 x))
x
(*.f64 z (neg.f64 x))

Calls

3 calls:

54.0ms	y
15.0ms	x
13.0ms	z

Results

Error	Segments	Branch
34.0b	3	`x`
31.4b	5	`y`
20.0b	3	`z`

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch187.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
168.0ms	6.8685049500192225e-6	1446590271800995300.0
19.0ms	-31.24259517742624	-9.606829569756566e-9

Compiler

Compiled 161 to 124 computations (23% saved)

regimes13.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
x
x
x

Outputs
x

Calls

3 calls:

4.0ms	z
4.0ms	y
4.0ms	x

Results

Error	Segments	Branch
36.1b	1	`x`
36.1b	1	`y`
36.1b	1	`z`

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

111×	`distribute-rgt-neg-in_binary64`
86×	`cancel-sign-sub-inv_binary64`
78×	`distribute-lft-neg-out_binary64`
74×	`neg-sub0_binary64`
74×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	478
1	136	478
2	162	478
3	179	478
4	210	478
5	284	478
6	372	478
7	464	478
8	581	478
9	716	478
10	818	478
11	881	478
12	919	478
13	927	478

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (-.f64 1 y) z) -2000000000000000137172103703564102993414188346625929973381646791516038639747754425505775838752679231688970493666459275394749789597812172229456459932366192699143082941239010020801269538891555886778514937042106442934926263917068257100320412740354048) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 500000000000000008932922589403465161869764464983330902721886700279835046843346211837913774809974621039574077870438123630035862892627704080387855403711076771169001716823298010480011962421165907982822736097060355087078349785802142121984) (fma.f64 x (fma.f64 y z (neg.f64 z)) x) (.f64 z (-.f64 (.f64 y x) x))))
(if (<=.f64 (.f64 (-.f64 1 y) z) -2000000000000000137172103703564102993414188346625929973381646791516038639747754425505775838752679231688970493666459275394749789597812172229456459932366192699143082941239010020801269538891555886778514937042106442934926263917068257100320412740354048) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 500000000000000008932922589403465161869764464983330902721886700279835046843346211837913774809974621039574077870438123630035862892627704080387855403711076771169001716823298010480011962421165907982822736097060355087078349785802142121984) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (.f64 z (-.f64 (.f64 y x) x))))
(if (<=.f64 z -7529058325384417/2854495385411919762116571938898990272765493248) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x) (if (<=.f64 z 2791930887662053/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944) (+.f64 x (.f64 (.f64 y z) x)) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)))
(if (<=.f64 z -3646622427979893/19807040628566084398385987584) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 z 7475568452240553/4722366482869645213696) (+.f64 x (.f64 (.f64 y z) x)) (.f64 z (-.f64 (.f64 y x) x))))
(if (<=.f64 y -7133683093049937/274877906944) (+.f64 (.f64 y (.f64 z x)) x) (if (<=.f64 y 1573521842142179/4611686018427387904) (.f64 (-.f64 1 z) x) (+.f64 (.f64 y (*.f64 z x)) x)))
(if (<=.f64 y -1477531456149265687095527415480320) (.f64 (.f64 y x) z) (if (<=.f64 y 7859375520764647/34359738368) (.f64 (-.f64 1 z) x) (if (<=.f64 y 65000000000000001251103442442491463310430055267325172130333243971196682240) (.f64 x (-.f64 (.f64 y z) z)) (if (<=.f64 y 39999999999999998197164267139917894381200900349534096473918503930071541801164698488617560609192229203475089509547797243664269312) x (.f64 (*.f64 y x) z)))))
(if (<=.f64 y -1477531456149265687095527415480320) (.f64 (.f64 y x) z) (if (<=.f64 y 7859375520764647/34359738368) (.f64 (-.f64 1 z) x) (if (<=.f64 y 65000000000000001251103442442491463310430055267325172130333243971196682240) (.f64 (.f64 y x) z) (if (<=.f64 y 39999999999999998197164267139917894381200900349534096473918503930071541801164698488617560609192229203475089509547797243664269312) x (.f64 (*.f64 y x) z)))))
(if (<=.f64 z -129999999999999995805696) (.f64 z (neg.f64 x)) (if (<=.f64 z -8226724266114949/1298074214633706907132624082305024) (.f64 (.f64 y x) z) (if (<=.f64 z 8205641997227787/98079714615416886934934209737619787751599303819750539264) x (if (<=.f64 z 2621280270878489/562949953421312) (.f64 (.f64 y x) z) (.f64 z (neg.f64 x))))))
(if (<=.f64 z -129999999999999995805696) (.f64 z (neg.f64 x)) (if (<=.f64 z -8226724266114949/1298074214633706907132624082305024) (.f64 (.f64 z y) x) (if (<=.f64 z 8205641997227787/98079714615416886934934209737619787751599303819750539264) x (if (<=.f64 z 2621280270878489/562949953421312) (.f64 (.f64 z y) x) (.f64 z (neg.f64 x))))))
(if (<=.f64 z -1099251093743313/35184372088832) (.f64 z (neg.f64 x)) (if (<=.f64 z 1420000000000000000) x (.f64 z (neg.f64 x))))
x

Outputs
(if (<=.f64 (.f64 (-.f64 1 y) z) -2000000000000000137172103703564102993414188346625929973381646791516038639747754425505775838752679231688970493666459275394749789597812172229456459932366192699143082941239010020801269538891555886778514937042106442934926263917068257100320412740354048) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 500000000000000008932922589403465161869764464983330902721886700279835046843346211837913774809974621039574077870438123630035862892627704080387855403711076771169001716823298010480011962421165907982822736097060355087078349785802142121984) (fma.f64 x (fma.f64 y z (neg.f64 z)) x) (.f64 z (-.f64 (.f64 y x) x))))
(if (<=.f64 (.f64 (-.f64 1 y) z) -2000000000000000137172103703564102993414188346625929973381646791516038639747754425505775838752679231688970493666459275394749789597812172229456459932366192699143082941239010020801269538891555886778514937042106442934926263917068257100320412740354048) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 500000000000000008932922589403465161869764464983330902721886700279835046843346211837913774809974621039574077870438123630035862892627704080387855403711076771169001716823298010480011962421165907982822736097060355087078349785802142121984) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (.f64 z (-.f64 (.f64 y x) x))))
(if (<=.f64 z -7529058325384417/2854495385411919762116571938898990272765493248) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x) (if (<=.f64 z 2791930887662053/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944) (+.f64 x (.f64 (.f64 y z) x)) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)))
(if (<=.f64 z -7529058325384417/2854495385411919762116571938898990272765493248) (+.f64 x (.f64 z (.f64 x (+.f64 y -1)))) (if (<=.f64 z 2791930887662053/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944) (+.f64 x (.f64 x (.f64 y z))) (+.f64 x (.f64 z (.f64 x (+.f64 y -1))))))
(if (<=.f64 z -3646622427979893/19807040628566084398385987584) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 z 7475568452240553/4722366482869645213696) (+.f64 x (.f64 (.f64 y z) x)) (.f64 z (-.f64 (.f64 y x) x))))
(if (<=.f64 z -3646622427979893/19807040628566084398385987584) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 z 7475568452240553/4722366482869645213696) (+.f64 x (.f64 x (.f64 y z))) (.f64 z (-.f64 (.f64 y x) x))))
(if (<=.f64 y -7133683093049937/274877906944) (+.f64 (.f64 y (.f64 z x)) x) (if (<=.f64 y 1573521842142179/4611686018427387904) (.f64 (-.f64 1 z) x) (+.f64 (.f64 y (*.f64 z x)) x)))
(if (<=.f64 y -7133683093049937/274877906944) (+.f64 x (.f64 y (.f64 z x))) (if (<=.f64 y 1573521842142179/4611686018427387904) (.f64 x (-.f64 1 z)) (+.f64 x (.f64 y (*.f64 z x)))))
(if (<=.f64 y -1477531456149265687095527415480320) (.f64 (.f64 y x) z) (if (<=.f64 y 7859375520764647/34359738368) (.f64 (-.f64 1 z) x) (if (<=.f64 y 65000000000000001251103442442491463310430055267325172130333243971196682240) (.f64 x (-.f64 (.f64 y z) z)) (if (<=.f64 y 39999999999999998197164267139917894381200900349534096473918503930071541801164698488617560609192229203475089509547797243664269312) x (.f64 (*.f64 y x) z)))))
(if (<=.f64 y -1477531456149265687095527415480320) (.f64 z (.f64 y x)) (if (<=.f64 y 7859375520764647/34359738368) (.f64 x (-.f64 1 z)) (if (<=.f64 y 65000000000000001251103442442491463310430055267325172130333243971196682240) (.f64 x (-.f64 (.f64 y z) z)) (if (<=.f64 y 39999999999999998197164267139917894381200900349534096473918503930071541801164698488617560609192229203475089509547797243664269312) x (.f64 z (*.f64 y x))))))
(if (<=.f64 y -1477531456149265687095527415480320) (.f64 (.f64 y x) z) (if (<=.f64 y 7859375520764647/34359738368) (.f64 (-.f64 1 z) x) (if (<=.f64 y 65000000000000001251103442442491463310430055267325172130333243971196682240) (.f64 (.f64 y x) z) (if (<=.f64 y 39999999999999998197164267139917894381200900349534096473918503930071541801164698488617560609192229203475089509547797243664269312) x (.f64 (*.f64 y x) z)))))
(if (<=.f64 y -1477531456149265687095527415480320) (.f64 z (.f64 y x)) (if (<=.f64 y 7859375520764647/34359738368) (.f64 x (-.f64 1 z)) (if (<=.f64 y 65000000000000001251103442442491463310430055267325172130333243971196682240) (.f64 z (.f64 y x)) (if (<=.f64 y 39999999999999998197164267139917894381200900349534096473918503930071541801164698488617560609192229203475089509547797243664269312) x (.f64 z (*.f64 y x))))))
(if (<=.f64 z -129999999999999995805696) (.f64 z (neg.f64 x)) (if (<=.f64 z -8226724266114949/1298074214633706907132624082305024) (.f64 (.f64 y x) z) (if (<=.f64 z 8205641997227787/98079714615416886934934209737619787751599303819750539264) x (if (<=.f64 z 2621280270878489/562949953421312) (.f64 (.f64 y x) z) (.f64 z (neg.f64 x))))))
(if (<=.f64 z -129999999999999995805696) (.f64 z (neg.f64 x)) (if (<=.f64 z -8226724266114949/1298074214633706907132624082305024) (.f64 z (.f64 y x)) (if (<=.f64 z 8205641997227787/98079714615416886934934209737619787751599303819750539264) x (if (<=.f64 z 2621280270878489/562949953421312) (.f64 z (.f64 y x)) (.f64 z (neg.f64 x))))))
(if (<=.f64 z -129999999999999995805696) (.f64 z (neg.f64 x)) (if (<=.f64 z -8226724266114949/1298074214633706907132624082305024) (.f64 (.f64 z y) x) (if (<=.f64 z 8205641997227787/98079714615416886934934209737619787751599303819750539264) x (if (<=.f64 z 2621280270878489/562949953421312) (.f64 (.f64 z y) x) (.f64 z (neg.f64 x))))))
(if (<=.f64 z -129999999999999995805696) (.f64 z (neg.f64 x)) (if (<=.f64 z -8226724266114949/1298074214633706907132624082305024) (.f64 x (.f64 y z)) (if (<=.f64 z 8205641997227787/98079714615416886934934209737619787751599303819750539264) x (if (<=.f64 z 2621280270878489/562949953421312) (.f64 x (.f64 y z)) (.f64 z (neg.f64 x))))))
(if (<=.f64 z -1099251093743313/35184372088832) (.f64 z (neg.f64 x)) (if (<=.f64 z 1420000000000000000) x (.f64 z (neg.f64 x))))
x

Compiler

Compiled 363 to 192 computations (47.1% saved)

soundness281.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

788×	`fma-def_binary64`
710×	`fma-def_binary64`
419×	`fma-neg_binary64`
408×	`fma-neg_binary64`
203×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	613
1	68	592
2	169	532
3	419	532
4	929	532
5	1582	532
6	2419	532
7	2582	532
8	2584	532
9	2584	532
0	9	13
1	20	13
2	49	11
3	161	11
4	493	11
5	1149	11
6	1895	11
7	2598	11
8	2708	11
9	2708	11

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 235 to 158 computations (32.8% saved)

end161.0ms (0.9%)

Compiler: Compiled 333 to 141 computations (57.7% saved)

Iter	Nodes	Cost
0	13	160
1	28	160
2	49	160
3	88	160
4	136	160
5	223	160
6	371	160
7	450	160
8	518	160
9	524	160

Iter	Nodes	Cost
0	13	390
1	31	270
2	72	270
3	159	270
4	333	270
5	514	270
6	697	270
7	800	270
8	932	270

Iter	Nodes	Cost
0	98	478
1	136	478
2	162	478
3	179	478
4	210	478
5	284	478
6	372	478
7	464	478
8	581	478
9	716	478
10	818	478
11	881	478
12	919	478
13	927	478

Iter	Nodes	Cost
0	13	160
1	28	160
2	49	160
3	88	160
4	136	160
5	223	160
6	371	160
7	450	160
8	518	160
9	524	160

Iter	Nodes	Cost
0	13	390
1	31	270
2	72	270
3	159	270
4	333	270
5	514	270
6	697	270
7	800	270
8	932	270

Iter	Nodes	Cost
0	98	478
1	136	478
2	162	478
3	179	478
4	210	478
5	284	478
6	372	478
7	464	478
8	581	478
9	716	478
10	818	478
11	881	478
12	919	478
13	927	478

Iter	Nodes	Cost
0	13	160
1	28	160
2	49	160
3	88	160
4	136	160
5	223	160
6	371	160
7	450	160
8	518	160
9	524	160

Iter	Nodes	Cost
0	13	390
1	31	270
2	72	270
3	159	270
4	333	270
5	514	270
6	697	270
7	800	270
8	932	270

Iter	Nodes	Cost
0	98	478
1	136	478
2	162	478
3	179	478
4	210	478
5	284	478
6	372	478
7	464	478
8	581	478
9	716	478
10	818	478
11	881	478
12	919	478
13	927	478