Details

analyze264.0ms (2.3%)

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 (17.3%)

Results

1.7s	8256×	body	256	valid
274.0ms	1046×	body	256	infinite

Bogosity

preprocess273.0ms (2.4%)

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)

simplify72.0ms (0.6%)

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)

prune3.0ms (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

3.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.0b	(fma.f64 x (fma.f64 y z (neg.f64 z)) x)
▶	3.0b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 y) z)
✓	2.8b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

Compiler

Compiled 31 to 20 computations (35.5% saved)

series20.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
2.0ms	z	@	inf	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
2.0ms	y	@	0	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
1.0ms	y	@	inf	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
1.0ms	z	@	-inf	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite104.0ms (0.9%)

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)))))

simplify82.0ms (0.7%)

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)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.8b	(fma.f64 x (fma.f64 y z (neg.f64 z)) x)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series7.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite79.0ms (0.7%)

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)))))))

simplify69.0ms (0.6%)

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))

eval108.0ms (0.9%)

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

prune27.0ms (0.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	127	9	136
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	128	10	138

Error

0.0b

Counts

138 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.4b	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))
✓	3.0b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
	2.1b	(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
	33.9b	x
▶	46.2b	(.f64 y (.f64 z x))
▶	1.7b	(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
▶	18.2b	(-.f64 x (*.f64 z x))
	18.2b	(*.f64 (-.f64 1 z) x)
▶	20.8b	(*.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)))
	29.9b	(.f64 z (-.f64 (.f64 y x) x))

Compiler

Compiled 202 to 124 computations (38.6% saved)

localize142.0ms (1.2%)

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))
✓	2.8b	(.f64 y (.f64 z x))

Compiler

Compiled 34 to 15 computations (55.9% saved)

series12.0ms (0.1%)

Counts

3 → 39

Calls

24 calls:

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

rewrite110.0ms (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)))))))

simplify77.0ms (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)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	2.8b	(.f64 y (.f64 z x))

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize41.0ms (0.4%)

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)

series2.0ms (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	@	0	(-.f64 x (*.f64 z x))
0.0ms	z	@	-inf	(-.f64 x (*.f64 z x))
0.0ms	x	@	0	(-.f64 x (*.f64 z x))

rewrite53.0ms (0.5%)

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)))))))

simplify26.0ms (0.2%)

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)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.9b	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series7.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	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	x	@	-inf	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))

rewrite97.0ms (0.8%)

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)))))))

simplify37.0ms (0.3%)

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)

localize82.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.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)))
✓	0.4b	(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 y z z) x)) 2)
✓	0.5b	(cbrt.f64 (fma.f64 x (fma.f64 y z z) x))
✓	2.8b	(fma.f64 x (fma.f64 y z z) x)

Compiler

Compiled 55 to 12 computations (78.2% saved)

series27.0ms (0.2%)

Counts

4 → 88

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(cbrt.f64 (fma.f64 x (fma.f64 y z z) x))
2.0ms	y	@	0	(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 y z z) x)) 2)
1.0ms	z	@	0	(cbrt.f64 (fma.f64 x (fma.f64 y z z) x))
1.0ms	z	@	0	(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 y z z) x)) 2)
1.0ms	y	@	inf	(cbrt.f64 (fma.f64 x (fma.f64 y z z) x))

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

805×	`pow1_binary64`
746×	`add-log-exp_binary64`
745×	`log1p-expm1-u_binary64`
745×	`expm1-log1p-u_binary64`
726×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	205	43
2	2091	43

Stop Event

1×	node limit

Counts

4 → 81

Calls

Call 1

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

simplify88.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

610×	`times-frac_binary64`
464×	`distribute-rgt-in_binary64`
461×	`distribute-lft-in_binary64`
298×	`associate-r_binary64`
270×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	1870
1	604	1696
2	2405	1639
3	7198	1639

Stop Event

1×	node limit

Counts

169 → 110

Calls

Call 1

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

Outputs
(.f64 (+.f64 (.f64 y z) (+.f64 1 z)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 (+.f64 (.f64 y z) (+.f64 1 z)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 (+.f64 (.f64 y z) (+.f64 1 z)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 (+.f64 (.f64 y z) (+.f64 1 z)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 (+.f64 (.f64 y z) (+.f64 1 z)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 (+.f64 (.f64 y z) (+.f64 1 z)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 (+.f64 (.f64 y z) (+.f64 1 z)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 (+.f64 (.f64 y z) (+.f64 1 z)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 (.f64 y z) z)) 1) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 (.f64 y z) z)) 1) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 (.f64 y z) z)) 1) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 (.f64 y z) z)) 1) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (.f64 z x) (+.f64 (.f64 y (*.f64 z x)) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (.f64 z x) (+.f64 (.f64 y (*.f64 z x)) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (.f64 z x) (+.f64 (.f64 y (*.f64 z x)) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(+.f64 (.f64 z x) (+.f64 (.f64 y (*.f64 z x)) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (.f64 z x) (+.f64 (.f64 y (*.f64 z x)) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (.f64 z x) (+.f64 (.f64 y (*.f64 z x)) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(+.f64 (.f64 z x) (+.f64 (.f64 y (*.f64 z x)) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (.f64 z x) (+.f64 (.f64 y (*.f64 z x)) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (.f64 z x) (+.f64 (.f64 y (*.f64 z x)) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
x
(+.f64 (.f64 (+.f64 1 y) (.f64 z x)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (.f64 (+.f64 1 y) (.f64 z x)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (.f64 (+.f64 1 y) (.f64 z x)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 (+.f64 1 y) (.f64 z x))
(*.f64 (fma.f64 y z z) x)
(*.f64 x (fma.f64 y z z))
(+.f64 (.f64 (+.f64 1 y) (.f64 z x)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (.f64 (+.f64 1 y) (.f64 z x)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (.f64 (+.f64 1 y) (.f64 z x)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1 y) 1) (.f64 z x)))
(*.f64 (fma.f64 y z z) x)
(*.f64 x (fma.f64 y z z))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 y) 1) (.f64 z x))) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 y) 1) (.f64 z x))) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 y) 1) (.f64 z x))) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(pow.f64 (+.f64 (*.f64 z x) x) 1/3)
(cbrt.f64 (fma.f64 z x x))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 z x) x) 2)) 1/9) (.f64 y (.f64 z x)))) (pow.f64 (+.f64 (.f64 z x) x) 1/3))
(fma.f64 1/3 (.f64 (.f64 (.f64 y z) x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2)) 1/18))) (cbrt.f64 (fma.f64 z x x)))
(fma.f64 1/3 (.f64 (.f64 y (.f64 z x)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2)) 1/18))) (cbrt.f64 (fma.f64 z x x)))
(fma.f64 1/3 (.f64 y (.f64 (.f64 z x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2)) 1/18)))) (cbrt.f64 (fma.f64 z x x)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 z x) x) 2)) 1/9) (.f64 y (.f64 z x)))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 z x) x) 7)) 1/9) (.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) (pow.f64 x 2))))) (pow.f64 (+.f64 (*.f64 z x) x) 1/3)))
(fma.f64 1/3 (.f64 (.f64 (.f64 y z) x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2)) 1/18))) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 7)) 1/18)) (.f64 (.f64 y y) (.f64 (.f64 z z) (*.f64 x x)))) (cbrt.f64 (fma.f64 z x x))))
(fma.f64 1/3 (.f64 (.f64 y (.f64 z x)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2)) 1/18))) (fma.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 7)) 1/18))) (.f64 (.f64 y y) (.f64 (.f64 z x) (*.f64 z x))) (cbrt.f64 (fma.f64 z x x))))
(fma.f64 1/3 (.f64 y (.f64 (.f64 z x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2)) 1/18)))) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 7)) 1/18)) (.f64 y (.f64 y (.f64 z (.f64 z (*.f64 x x)))))) (cbrt.f64 (fma.f64 z x x))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 z x) x) 2)) 1/9) (.f64 y (.f64 z x)))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 z x) x) 7)) 1/9) (.f64 (pow.f64 y 2) (.f64 (pow.f64 z 2) (pow.f64 x 2))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 z x) x) 2)) 1/3) (.f64 (pow.f64 y 3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 z x) x) 2)) 1/3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 z 3) (pow.f64 x 3))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 z x) x) 2)) 1/3) (.f64 (pow.f64 z 3) (pow.f64 x 3)))))))) (pow.f64 (+.f64 (.f64 z x) x) 1/3))))
(fma.f64 1/3 (.f64 (.f64 (.f64 y z) x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2)) 1/18))) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 7)) 1/18)) (.f64 (.f64 y y) (.f64 (.f64 z z) (.f64 x x)))) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2))) (.f64 (pow.f64 y 3) (fma.f64 -2/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2))) (.f64 1 (.f64 (pow.f64 z 3) (pow.f64 x 3)))) (.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2))) (*.f64 (pow.f64 z 3) (pow.f64 x 3))))))) (cbrt.f64 (fma.f64 z x x)))))
(fma.f64 1/3 (.f64 (.f64 y (.f64 z x)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2)) 1/18))) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 7)) 1/18)) (.f64 (.f64 y y) (.f64 (.f64 z x) (.f64 z x)))) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2))) (.f64 (pow.f64 y 3) (fma.f64 -2/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2))) (.f64 (pow.f64 z 3) (pow.f64 x 3))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2))) (.f64 (.f64 (pow.f64 z 3) (pow.f64 x 3)) 1/27))))) (cbrt.f64 (fma.f64 z x x)))))
(fma.f64 1/3 (.f64 y (.f64 (.f64 z x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2)) 1/18)))) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 7)) 1/18)) (.f64 y (.f64 y (.f64 z (.f64 z (.f64 x x)))))) (fma.f64 -1/3 (.f64 (pow.f64 y 3) (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2))) (.f64 (pow.f64 z 3) (pow.f64 x 3))) -5/27) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2))))) (cbrt.f64 (fma.f64 z x x)))))
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(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/9) (.f64 (+.f64 1 y) z))))
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(fma.f64 1/3 (.f64 (.f64 (fma.f64 y z z) (pow.f64 (pow.f64 x 7) 1/18)) (pow.f64 (pow.f64 x 7) 1/18)) (cbrt.f64 x))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 x 11)) 1/9) (.f64 (pow.f64 (+.f64 1 y) 2) (pow.f64 z 2)))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/9) (.f64 (+.f64 1 y) z)))))
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(+.f64 (fma.f64 1/3 (.f64 (.f64 (fma.f64 y z z) (pow.f64 (pow.f64 x 7) 1/18)) (pow.f64 (pow.f64 x 7) 1/18)) (cbrt.f64 x)) (.f64 -1/9 (.f64 (.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)) (.f64 (fma.f64 y z z) (fma.f64 y z z)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 x 11)) 1/9) (.f64 (pow.f64 (+.f64 1 y) 2) (pow.f64 z 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/9) (.f64 (+.f64 1 y) z))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 z 3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (+.f64 1 y) 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 1 y) 3))))))))))
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(pow.f64 (pow.f64 (+.f64 (*.f64 z x) x) 2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 z x x) 2))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (+.f64 (.f64 z x) x) 1) 1/9) (.f64 y (.f64 z x)))) (pow.f64 (pow.f64 (+.f64 (*.f64 z x) x) 2) 1/3))
(fma.f64 2/3 (.f64 (.f64 (.f64 y z) x) (.f64 (pow.f64 (fma.f64 z x x) 1/18) (pow.f64 (fma.f64 z x x) 1/18))) (cbrt.f64 (pow.f64 (fma.f64 z x x) 2)))
(fma.f64 2/3 (.f64 (.f64 z x) (.f64 y (.f64 (pow.f64 (fma.f64 z x x) 1/18) (pow.f64 (fma.f64 z x x) 1/18)))) (cbrt.f64 (pow.f64 (fma.f64 z x x) 2)))
(fma.f64 2/3 (.f64 (.f64 (.f64 y (.f64 z x)) (pow.f64 (fma.f64 z x x) 1/18)) (pow.f64 (fma.f64 z x x) 1/18)) (cbrt.f64 (pow.f64 (fma.f64 z x x) 2)))
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(fma.f64 2/3 (.f64 (.f64 (.f64 y z) x) (.f64 (pow.f64 (fma.f64 z x x) 1/18) (pow.f64 (fma.f64 z x x) 1/18))) (fma.f64 (.f64 y y) (.f64 (.f64 (.f64 (.f64 z z) (.f64 x x)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 4)) 1/18))) -1/9) (cbrt.f64 (pow.f64 (fma.f64 z x x) 2))))
(fma.f64 2/3 (.f64 (.f64 z x) (.f64 y (.f64 (pow.f64 (fma.f64 z x x) 1/18) (pow.f64 (fma.f64 z x x) 1/18)))) (fma.f64 (.f64 y y) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 4)) 1/18)) (.f64 (.f64 (.f64 z x) (*.f64 z x)) -1/9)) (cbrt.f64 (pow.f64 (fma.f64 z x x) 2))))
(fma.f64 2/3 (.f64 (.f64 (.f64 y (.f64 z x)) (pow.f64 (fma.f64 z x x) 1/18)) (pow.f64 (fma.f64 z x x) 1/18)) (fma.f64 (.f64 y y) (.f64 (.f64 z (.f64 z (.f64 x x))) (.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 4)) 1/18)) -1/9)) (cbrt.f64 (pow.f64 (fma.f64 z x x) 2))))
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(fma.f64 2/3 (.f64 (.f64 (.f64 y z) x) (.f64 (pow.f64 (fma.f64 z x x) 1/18) (pow.f64 (fma.f64 z x x) 1/18))) (fma.f64 (.f64 y y) (.f64 (.f64 (.f64 (.f64 z z) (.f64 x x)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 4)) 1/18))) -1/9) (fma.f64 (pow.f64 y 3) (fma.f64 -2/3 (.f64 (fma.f64 -2/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2))) (.f64 1 (.f64 (pow.f64 z 3) (pow.f64 x 3)))) (.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2))) (.f64 (pow.f64 z 3) (pow.f64 x 3))))) (cbrt.f64 (/.f64 1 (fma.f64 z x x)))) (*.f64 -2/27 (/.f64 (pow.f64 z 3) (/.f64 (fma.f64 z x x) (pow.f64 x 3))))) (cbrt.f64 (pow.f64 (fma.f64 z x x) 2)))))
(fma.f64 2/3 (.f64 (.f64 z x) (.f64 y (.f64 (pow.f64 (fma.f64 z x x) 1/18) (pow.f64 (fma.f64 z x x) 1/18)))) (fma.f64 (.f64 y y) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 4)) 1/18)) (.f64 (.f64 (.f64 z x) (.f64 z x)) -1/9)) (fma.f64 (pow.f64 y 3) (fma.f64 -2/3 (.f64 (fma.f64 -2/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2))) (.f64 (pow.f64 z 3) (pow.f64 x 3))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2))) (.f64 (.f64 (pow.f64 z 3) (pow.f64 x 3)) 1/27))) (cbrt.f64 (/.f64 1 (fma.f64 z x x)))) (.f64 -2/27 (*.f64 (/.f64 (pow.f64 z 3) (fma.f64 z x x)) (pow.f64 x 3)))) (cbrt.f64 (pow.f64 (fma.f64 z x x) 2)))))
(fma.f64 2/3 (.f64 (.f64 (.f64 y (.f64 z x)) (pow.f64 (fma.f64 z x x) 1/18)) (pow.f64 (fma.f64 z x x) 1/18)) (fma.f64 (.f64 y y) (.f64 (.f64 z (.f64 z (.f64 x x))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 4)) 1/18)) -1/9)) (fma.f64 (pow.f64 y 3) (fma.f64 (.f64 -2/3 (cbrt.f64 (/.f64 1 (fma.f64 z x x)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2))) (.f64 (pow.f64 z 3) (pow.f64 x 3))) -5/27) (.f64 -2/27 (.f64 (/.f64 (pow.f64 z 3) (+.f64 z 1)) (.f64 x x)))) (cbrt.f64 (pow.f64 (fma.f64 z x x) 2)))))
(fma.f64 2/3 (.f64 (.f64 (.f64 y (.f64 z x)) (pow.f64 (fma.f64 z x x) 1/18)) (pow.f64 (fma.f64 z x x) 1/18)) (fma.f64 (.f64 y y) (.f64 (.f64 z (.f64 z (.f64 x x))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 4)) 1/18)) -1/9)) (fma.f64 (pow.f64 y 3) (fma.f64 (.f64 -2/3 (cbrt.f64 (/.f64 1 (fma.f64 z x x)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 z x x) 2))) (.f64 (.f64 (pow.f64 z 3) (pow.f64 x 3)) -5/27)) (.f64 (.f64 -2/27 (pow.f64 z 3)) (/.f64 (.f64 x x) (+.f64 z 1)))) (cbrt.f64 (pow.f64 (fma.f64 z x x) 2)))))
(pow.f64 (pow.f64 x 2) 1/3)
(cbrt.f64 (*.f64 x x))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 10)) 1/9) (.f64 (+.f64 1 y) z))) (pow.f64 (pow.f64 x 2) 1/3))
(fma.f64 2/3 (.f64 (fma.f64 y z z) (.f64 (pow.f64 (pow.f64 x 10) 1/18) (pow.f64 (pow.f64 x 10) 1/18))) (cbrt.f64 (*.f64 x x)))
(fma.f64 2/3 (.f64 (.f64 (fma.f64 y z z) (pow.f64 (pow.f64 x 10) 1/18)) (pow.f64 (pow.f64 x 10) 1/18)) (cbrt.f64 (*.f64 x x)))
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(fma.f64 2/3 (.f64 (fma.f64 y z z) (.f64 (pow.f64 (pow.f64 x 10) 1/18) (pow.f64 (pow.f64 x 10) 1/18))) (fma.f64 (.f64 (.f64 (pow.f64 (+.f64 y 1) 2) (.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18))) -1/9) (.f64 z z) (cbrt.f64 (*.f64 x x))))
(fma.f64 2/3 (.f64 (.f64 (fma.f64 y z z) (pow.f64 (pow.f64 x 10) 1/18)) (pow.f64 (pow.f64 x 10) 1/18)) (fma.f64 (.f64 z z) (.f64 -1/9 (.f64 (pow.f64 (+.f64 y 1) 2) (.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)))) (cbrt.f64 (*.f64 x x))))
(fma.f64 2/3 (.f64 (.f64 (fma.f64 y z z) (pow.f64 (pow.f64 x 10) 1/18)) (pow.f64 (pow.f64 x 10) 1/18)) (fma.f64 (.f64 z z) (.f64 (pow.f64 (+.f64 y 1) 2) (.f64 (.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) -1/9)) (cbrt.f64 (*.f64 x x))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 x 10)) 1/9) (.f64 (+.f64 1 y) z))) (+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 1 (pow.f64 x 14)) 1/9) (pow.f64 (+.f64 1 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 x 14)) 1/9) (pow.f64 (+.f64 1 y) 2)))) (pow.f64 z 2)) (+.f64 (pow.f64 (pow.f64 x 2) 1/3) (.f64 (+.f64 (.f64 -2/27 (.f64 (pow.f64 1 1/9) (.f64 (pow.f64 (+.f64 1 y) 3) (pow.f64 x 2)))) (.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 1 y) 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 1 y) 3))))))) (pow.f64 z 3)))))
(fma.f64 2/3 (.f64 (fma.f64 y z z) (.f64 (pow.f64 (pow.f64 x 10) 1/18) (pow.f64 (pow.f64 x 10) 1/18))) (+.f64 (fma.f64 (.f64 (.f64 (pow.f64 (+.f64 y 1) 2) (.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18))) -1/9) (.f64 z z) (cbrt.f64 (.f64 x x))) (.f64 (pow.f64 z 3) (+.f64 (.f64 -2/27 (.f64 (.f64 x x) (pow.f64 (+.f64 y 1) 3))) (.f64 -2/3 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (+.f64 y 1) 3) (cbrt.f64 (pow.f64 x 7)))) (.f64 1/27 (*.f64 (pow.f64 (+.f64 y 1) 3) (cbrt.f64 (pow.f64 x 7))))) (cbrt.f64 (/.f64 1 x))))))))
(fma.f64 2/3 (.f64 (.f64 (fma.f64 y z z) (pow.f64 (pow.f64 x 10) 1/18)) (pow.f64 (pow.f64 x 10) 1/18)) (fma.f64 (.f64 z z) (.f64 -1/9 (.f64 (pow.f64 (+.f64 y 1) 2) (.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)))) (fma.f64 (pow.f64 z 3) (fma.f64 (.f64 -2/3 (cbrt.f64 (/.f64 1 x))) (.f64 (.f64 (pow.f64 (+.f64 y 1) 3) (cbrt.f64 (pow.f64 x 7))) -5/27) (.f64 (pow.f64 (+.f64 y 1) 3) (.f64 (.f64 x x) -2/27))) (cbrt.f64 (*.f64 x x)))))
(fma.f64 2/3 (.f64 (.f64 (fma.f64 y z z) (pow.f64 (pow.f64 x 10) 1/18)) (pow.f64 (pow.f64 x 10) 1/18)) (fma.f64 (.f64 z z) (.f64 (pow.f64 (+.f64 y 1) 2) (.f64 (.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) -1/9)) (fma.f64 (pow.f64 z 3) (fma.f64 -2/3 (.f64 (.f64 (.f64 (pow.f64 (+.f64 y 1) 3) (cbrt.f64 (pow.f64 x 7))) (cbrt.f64 (/.f64 1 x))) -5/27) (.f64 (pow.f64 (+.f64 y 1) 3) (.f64 (.f64 x x) -2/27))) (cbrt.f64 (*.f64 x x)))))
(fma.f64 2/3 (.f64 (.f64 (fma.f64 y z z) (pow.f64 (pow.f64 x 10) 1/18)) (pow.f64 (pow.f64 x 10) 1/18)) (fma.f64 (.f64 z z) (.f64 (pow.f64 (+.f64 y 1) 2) (.f64 (.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) -1/9)) (fma.f64 (pow.f64 z 3) (fma.f64 -2/3 (.f64 (.f64 (pow.f64 (+.f64 y 1) 3) (cbrt.f64 (pow.f64 x 7))) (.f64 (cbrt.f64 (/.f64 1 x)) -5/27)) (.f64 (pow.f64 (+.f64 y 1) 3) (.f64 (.f64 x x) -2/27))) (cbrt.f64 (*.f64 x x)))))
(.f64 (+.f64 (.f64 y z) (+.f64 1 z)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 (+.f64 (.f64 y z) (+.f64 1 z)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 (+.f64 (.f64 y z) (+.f64 1 z)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 (+.f64 (.f64 y z) (+.f64 1 z)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 (+.f64 (.f64 y z) (+.f64 1 z)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 (+.f64 (.f64 y z) (+.f64 1 z)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 (+.f64 (.f64 y z) (+.f64 1 z)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 (+.f64 (.f64 y z) (+.f64 1 z)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 (.f64 y z) z)) 1) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 (.f64 y z) z)) 1) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 (.f64 y z) z)) 1) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 (.f64 y z) z)) 1) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (.f64 z x) (+.f64 (.f64 y (*.f64 z x)) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (.f64 z x) (+.f64 (.f64 y (*.f64 z x)) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (.f64 z x) (+.f64 (.f64 y (*.f64 z x)) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(+.f64 (.f64 z x) (+.f64 (.f64 y (*.f64 z x)) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (.f64 z x) (+.f64 (.f64 y (*.f64 z x)) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (.f64 z x) (+.f64 (.f64 y (*.f64 z x)) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(+.f64 (.f64 z x) (+.f64 (.f64 y (*.f64 z x)) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (.f64 z x) (+.f64 (.f64 y (*.f64 z x)) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (.f64 z x) (+.f64 (.f64 y (*.f64 z x)) x))
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
x
(+.f64 (.f64 (+.f64 1 y) (.f64 z x)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (.f64 (+.f64 1 y) (.f64 z x)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (.f64 (+.f64 1 y) (.f64 z x)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 (+.f64 1 y) (.f64 z x))
(*.f64 (fma.f64 y z z) x)
(*.f64 x (fma.f64 y z z))
(+.f64 (.f64 (+.f64 1 y) (.f64 z x)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (.f64 (+.f64 1 y) (.f64 z x)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (.f64 (+.f64 1 y) (.f64 z x)) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1 y) 1) (.f64 z x)))
(*.f64 (fma.f64 y z z) x)
(*.f64 x (fma.f64 y z z))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 y) 1) (.f64 z x))) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 y) 1) (.f64 z x))) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 y) 1) (.f64 z x))) x)
(*.f64 (fma.f64 y z (+.f64 z 1)) x)
(fma.f64 (fma.f64 y z z) x x)
(fma.f64 x (fma.f64 y z z) x)

eval223.0ms (1.9%)

Compiler: Compiled 9645 to 3864 computations (59.9% saved)

prune111.0ms (1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	423	7	430
Fresh	2	2	4
Picked	1	0	1
Done	2	3	5
Total	428	12	440

Error

Counts

440 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	10.4b	(fma.f64 (.f64 (.f64 z x) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) (.f64 x (-.f64 1 z)))
✓	18.2b	(-.f64 x (*.f64 z x))
▶	18.2b	(*.f64 (-.f64 1 z) x)
✓	3.0b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
	30.6b	(+.f64 (.f64 y (.f64 z x)) (*.f64 z (neg.f64 x)))
	29.9b	(.f64 z (-.f64 (.f64 y x) x))
▶	46.7b	(*.f64 z (neg.f64 x))
▶	19.4b	(+.f64 x (.f64 (.f64 y z) x))
	33.9b	x
✓	46.2b	(.f64 y (.f64 z x))
	47.7b	(.f64 x (.f64 z y))
▶	28.0b	(fma.f64 (.f64 y (sqrt.f64 (.f64 z x))) (sqrt.f64 (.f64 z x)) (.f64 x (-.f64 1 z)))

Compiler

Compiled 220 to 138 computations (37.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (.f64 (.f64 z x) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) (.f64 x (-.f64 1 z)))
✓	0.6b	(cbrt.f64 y)
✓	2.7b	(.f64 (.f64 z x) (cbrt.f64 (*.f64 y y)))
✓	26.1b	(cbrt.f64 (*.f64 y y))

Compiler

Compiled 51 to 18 computations (64.7% saved)

series21.0ms (0.2%)

Counts

4 → 51

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(.f64 (.f64 z x) (cbrt.f64 (*.f64 y y)))
2.0ms	x	@	0	(.f64 (.f64 z x) (cbrt.f64 (*.f64 y y)))
2.0ms	x	@	0	(fma.f64 (.f64 (.f64 z x) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) (.f64 x (-.f64 1 z)))
1.0ms	y	@	-inf	(cbrt.f64 y)
1.0ms	z	@	0	(fma.f64 (.f64 (.f64 z x) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) (.f64 x (-.f64 1 z)))

rewrite95.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`log-prod_binary64`
480×	`pow-prod-down_binary64`
353×	`prod-diff_binary64`
322×	`pow2_binary64`
251×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	260	37
2	3146	35

Stop Event

1×	node limit

Counts

4 → 110

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 y) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 y) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y 1/6) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 3) 2/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 4) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 6) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (cbrt.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 y)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 y) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 y (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2/3 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 y)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) z) (pow.f64 (cbrt.f64 y) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) z) (pow.f64 (cbrt.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) z) (pow.f64 (cbrt.f64 y) 2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) z) (pow.f64 (cbrt.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cbrt.f64 y) (sqrt.f64 (.f64 z x))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 y y) (pow.f64 (.f64 z x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 y) (sqrt.f64 (.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (cbrt.f64 y) (sqrt.f64 (.f64 z x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) z) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 y y) (pow.f64 (.f64 z x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (.f64 z x)) (.f64 2/3 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (+.f64 (log.f64 (.f64 z x)) (*.f64 2/3 (log.f64 y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y 1/6) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y y) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 6) 1/18)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 y) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 y)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (-.f64 1 z)) (.f64 (.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 z x) y) (.f64 x (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 z x) y) 1) (.f64 x (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y))) 2) (cbrt.f64 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y))) (sqrt.f64 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (.f64 z x) y) 3) (pow.f64 (.f64 x (-.f64 1 z)) 3)) (+.f64 (pow.f64 (.f64 (.f64 z x) y) 2) (-.f64 (pow.f64 (.f64 x (-.f64 1 z)) 2) (.f64 (.f64 (.f64 z x) y) (.f64 x (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (.f64 z x) y) 2) (pow.f64 (.f64 x (-.f64 1 z)) 2)) (-.f64 (.f64 (.f64 z x) y) (.f64 x (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 (-.f64 1 z)) x) (exp.f64 (.f64 (.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (-.f64 1 z)))) (exp.f64 (.f64 (.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (.f64 z x) y)) (+.f64 1 (expm1.f64 (.f64 x (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (-.f64 1 z) (.f64 (.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x (-.f64 1 z) (.f64 (*.f64 z x) y))) 1))))))

simplify92.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

778×	`fma-neg_binary64`
701×	`unsub-neg_binary64`
593×	`fma-def_binary64`
340×	`distribute-rgt-neg-out_binary64`
326×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	653
1	116	561
2	340	561
3	877	561
4	2312	561
5	4408	561
6	6969	561

Stop Event

1×	node limit

Counts

161 → 123

Calls

Call 1

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

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

localize5.0ms (0%)

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

localize6.0ms (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)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.6b	(.f64 (.f64 y z) x)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite49.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`pow1_binary64`
531×	`add-log-exp_binary64`
531×	`log1p-expm1-u_binary64`
531×	`expm1-log1p-u_binary64`
518×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	119	7
2	1452	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

simplify13.0ms (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

47 → 12

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))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 1 z))
✓	0.1b	(fma.f64 (.f64 y (sqrt.f64 (.f64 z x))) (sqrt.f64 (.f64 z x)) (.f64 x (-.f64 1 z)))
✓	0.1b	(.f64 y (sqrt.f64 (.f64 z x)))
✓	9.4b	(sqrt.f64 (*.f64 z x))

Compiler

Compiled 44 to 16 computations (63.6% saved)

series31.0ms (0.3%)

Counts

4 → 43

Calls

30 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	(sqrt.f64 (*.f64 z x))
4.0ms	x	@	0	(sqrt.f64 (*.f64 z x))
3.0ms	y	@	inf	(fma.f64 (.f64 y (sqrt.f64 (.f64 z x))) (sqrt.f64 (.f64 z x)) (.f64 x (-.f64 1 z)))
1.0ms	z	@	-inf	(fma.f64 (.f64 y (sqrt.f64 (.f64 z x))) (sqrt.f64 (.f64 z x)) (.f64 x (-.f64 1 z)))
1.0ms	x	@	-inf	(fma.f64 (.f64 y (sqrt.f64 (.f64 z x))) (sqrt.f64 (.f64 z x)) (.f64 x (-.f64 1 z)))

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`log-prod_binary64`
403×	`pow-prod-down_binary64`
338×	`prod-diff_binary64`
286×	`pow2_binary64`
203×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	223	38
2	2757	36

Stop Event

1×	node limit

Counts

4 → 126

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 z x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 z x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 z x) 1/6) (cbrt.f64 (.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 z x)) (pow.f64 (.f64 z x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 z x) 1/4) (pow.f64 (.f64 z x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 z) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z x) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z x) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z x) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z x)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 z x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 z x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3/2 (log.f64 (.f64 z x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 z x) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/4 (log.f64 (.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 z x)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 z x)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 z x))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 (.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (.f64 z x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (.f64 z x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 z x)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (.f64 z x)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 z x) (.f64 y y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 z x)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 z x)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 z x)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 z x) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 z x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 z x)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 z x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 z x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 z x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 z x)) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 z x)) y) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 z x)) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 z x)) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 z x)) y)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (-.f64 1 z)) (.f64 y (.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (.f64 z x)) (.f64 x (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y (.f64 z x)) 1) (.f64 x (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x)))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x)))) 2) (cbrt.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x)))) (sqrt.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 y (.f64 z x)) 3) (pow.f64 (.f64 x (-.f64 1 z)) 3)) (+.f64 (pow.f64 (.f64 y (.f64 z x)) 2) (-.f64 (pow.f64 (.f64 x (-.f64 1 z)) 2) (.f64 (.f64 y (.f64 z x)) (.f64 x (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 y (.f64 z x)) 2) (pow.f64 (.f64 x (-.f64 1 z)) 2)) (-.f64 (.f64 y (.f64 z x)) (.f64 x (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 x) (-.f64 1 z)) (pow.f64 (exp.f64 y) (.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (-.f64 1 z)))) (pow.f64 (exp.f64 y) (.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 y) (.f64 z x)) (+.f64 1 (expm1.f64 (.f64 x (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (-.f64 1 z) (.f64 y (.f64 z x)))) 1) 1))))))
((#(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 (pow.f64 (.f64 x (-.f64 1 z)) 3) 1/3)))) (#(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 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 (.f64 3 (log.f64 (.f64 x (-.f64 1 z)))) 1/3))))) (#(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 (log.f64 (.f64 x (-.f64 1 z))) 1) 1))))) (#(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)))))))

simplify78.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

877×	`fma-def_binary64`
545×	`fma-neg_binary64`
122×	`cancel-sign-sub-inv_binary64`
81×	`distribute-rgt-in_binary64`
69×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	348
1	30	339
2	67	321
3	121	321
4	316	321
5	762	321
6	1611	321
7	2356	321
8	2686	321
9	2724	321
10	2724	321

Stop Event

1×

saturated

Counts

169 → 136

Calls

Call 1

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

eval318.0ms (2.8%)

Compiler: Compiled 5827 to 2429 computations (58.3% saved)

prune417.0ms (3.6%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	343	1	344
Fresh	1	3	4
Picked	0	1	1
Done	0	7	7
Total	344	12	356

Error

Counts

356 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	10.4b	(fma.f64 (.f64 (.f64 z x) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) (.f64 x (-.f64 1 z)))
✓	18.2b	(-.f64 x (*.f64 z x))
✓	18.2b	(*.f64 (-.f64 1 z) x)
✓	3.0b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
▶	30.6b	(+.f64 (.f64 y (.f64 z x)) (*.f64 z (neg.f64 x)))
▶	29.9b	(.f64 z (-.f64 (.f64 y x) x))
	33.9b	x
✓	46.7b	(*.f64 z (neg.f64 x))
✓	19.4b	(+.f64 x (.f64 (.f64 y z) x))
✓	46.2b	(.f64 y (.f64 z x))
▶	47.7b	(.f64 x (.f64 z y))
✓	28.0b	(fma.f64 (.f64 y (sqrt.f64 (.f64 z x))) (sqrt.f64 (.f64 z x)) (.f64 x (-.f64 1 z)))

Compiler

Compiled 126 to 80 computations (36.5% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.6b	(.f64 x (.f64 z y))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite140.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`pow1_binary64`
532×	`add-log-exp_binary64`
532×	`log1p-expm1-u_binary64`
532×	`expm1-log1p-u_binary64`
519×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	119	7
2	1454	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify25.0ms (0.2%)

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

47 → 12

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))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 y x) x)
✓	2.0b	(.f64 z (-.f64 (.f64 y x) x))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series12.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite77.0ms (0.7%)

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))))))

simplify121.0ms (1.1%)

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)

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y (.f64 z x)) (*.f64 z (neg.f64 x)))
	2.8b	(.f64 y (.f64 z x))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

843×	`pow1_binary64`
780×	`add-log-exp_binary64`
779×	`log1p-expm1-u_binary64`
779×	`expm1-log1p-u_binary64`
762×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	195	11
2	2862	11

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

518×	`fma-def_binary64`
196×	`fma-neg_binary64`
112×	`distribute-rgt-in_binary64`
106×	`distribute-lft-in_binary64`
103×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	350
1	81	350
2	180	350
3	353	350
4	831	350
5	1503	350
6	1874	350
7	1904	350

Stop Event

1×

saturated

Counts

77 → 52

Calls

Call 1

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

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

eval108.0ms (0.9%)

Compiler: Compiled 2030 to 771 computations (62% saved)

prune118.0ms (1%)

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	153	4	157
Fresh	0	1	1
Picked	1	0	1
Done	1	9	10
Total	155	14	169

Error

Counts

169 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	10.4b	(fma.f64 (.f64 (.f64 z x) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) (.f64 x (-.f64 1 z)))
✓	18.2b	(-.f64 x (*.f64 z x))
✓	18.2b	(*.f64 (-.f64 1 z) x)
	32.1b	(-.f64 (.f64 x (.f64 y z)) (*.f64 z x))
	45.5b	(.f64 (.f64 y x) z)
	41.2b	(.f64 z (/.f64 1 (/.f64 (fma.f64 y x x) (-.f64 (pow.f64 (.f64 y x) 2) (*.f64 x x)))))
✓	3.0b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
	32.1b	(.f64 x (-.f64 (.f64 z y) z))
✓	29.9b	(.f64 z (-.f64 (.f64 y x) x))
	33.9b	x
✓	46.7b	(*.f64 z (neg.f64 x))
✓	19.4b	(+.f64 x (.f64 (.f64 y z) x))
✓	46.2b	(.f64 y (.f64 z x))
✓	47.7b	(.f64 x (.f64 z y))

Compiler

Compiled 145 to 93 computations (35.9% saved)

regimes496.0ms (4.3%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

10 calls:

76.0ms	z
72.0ms	(*.f64 (-.f64 1 y) z)
70.0ms	(*.f64 (-.f64 1 y) z)
70.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
49.0ms	x

Results

Error	Segments	Branch
0.3b	2	`x`
1.7b	1	`y`
0.0b	3	`z`
0.0b	3	`(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))`
0.0b	3	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
0.0b	3	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
0.0b	3	`(*.f64 (-.f64 1 y) z)`
0.0b	3	`(*.f64 (-.f64 1 y) z)`
1.7b	1	`(-.f64 1 y)`
1.7b	1	`(-.f64 1 y)`

Compiler

Compiled 265 to 135 computations (49.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.9713215497007685e+183	6.709164675676339e+187
0.0ms	-1.2946963489754737e+158	-1.8757994343667034e+154

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes564.0ms (4.9%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

10 calls:

97.0ms	(*.f64 (-.f64 1 y) z)
97.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))
87.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
58.0ms	z
56.0ms	y

Results

Error	Segments	Branch
0.3b	2	`x`
1.7b	1	`y`
0.1b	3	`z`
0.0b	3	`(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))`
0.0b	3	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
0.0b	3	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
0.0b	3	`(*.f64 (-.f64 1 y) z)`
0.0b	3	`(*.f64 (-.f64 1 y) z)`
1.7b	1	`(-.f64 1 y)`
1.7b	1	`(-.f64 1 y)`

Compiler

Compiled 188 to 104 computations (44.7% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.9713215497007685e+183	6.709164675676339e+187
0.0ms	-1.2946963489754737e+158	-1.8757994343667034e+154

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes381.0ms (3.3%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

10 calls:

91.0ms	(*.f64 (-.f64 1 y) z)
55.0ms	(*.f64 (-.f64 1 y) z)
40.0ms	x
38.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
36.0ms	z

Results

Error	Segments	Branch
0.3b	2	`x`
2.1b	1	`y`
0.1b	3	`z`
0.1b	3	`(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))`
0.0b	3	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
0.0b	3	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
0.0b	3	`(*.f64 (-.f64 1 y) z)`
0.0b	3	`(*.f64 (-.f64 1 y) z)`
2.1b	1	`(-.f64 1 y)`
2.1b	1	`(-.f64 1 y)`

Compiler

Compiled 167 to 99 computations (40.7% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.5460739672998925e+290	+inf
0.0ms	-1.7860958724921087e+145	-1.2528560265058913e+139

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes121.0ms (1.1%)

Counts

15 → 3

Calls

Call 1

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

59.0ms	z
36.0ms	x
20.0ms	y

Results

Error	Segments	Branch
0.6b	2	`x`
2.1b	1	`y`
0.1b	3	`z`

Compiler

Compiled 98 to 46 computations (53.1% saved)

bsearch66.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	8.875311750055391e-33	2.674699311404034e-32
32.0ms	-4.412671324419056e-26	-6.28224079115724e-29

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes226.0ms (2%)

Counts

14 → 3

Calls

Call 1

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

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:

114.0ms	x
53.0ms	y
52.0ms	z

Results

Error	Segments	Branch
11.9b	6	`x`
3.9b	3	`y`
1.1b	3	`z`

Compiler

Compiled 89 to 41 computations (53.9% saved)

bsearch63.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	0.7608788926045175	3.8247602429696372
31.0ms	-99563742479724.02	-529609708.73840004

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes378.0ms (3.3%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

291.0ms	x
42.0ms	z
40.0ms	y

Results

Error	Segments	Branch
12.4b	8	`x`
3.9b	3	`y`
4.0b	3	`z`

Compiler

Compiled 65 to 32 computations (50.8% saved)

bsearch109.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	0.058255073897163265	359.34698576813145
78.0ms	-3713458448054941.0	-52111.7950715465

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes263.0ms (2.3%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

91.0ms	x
90.0ms	y
76.0ms	z

Results

Error	Segments	Branch
15.6b	5	`x`
7.9b	3	`y`
9.5b	3	`z`

Compiler

Compiled 58 to 29 computations (50% saved)

bsearch113.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	3.3663064631543684e+31	6.754361463814751e+32
79.0ms	-5.800919398199785e+36	-1.1079975905066742e+36

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes155.0ms (1.4%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

67.0ms	x
53.0ms	z
32.0ms	y

Results

Error	Segments	Branch
17.0b	3	`x`
7.9b	3	`y`
15.2b	5	`z`

Compiler

Compiled 41 to 23 computations (43.9% saved)

bsearch117.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	3.3663064631543684e+31	6.754361463814751e+32
84.0ms	-5.800919398199785e+36	-1.1079975905066742e+36

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes149.0ms (1.3%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

63.0ms	z
59.0ms	x
24.0ms	y

Results

Error	Segments	Branch
17.0b	3	`x`
8.0b	3	`y`
15.2b	5	`z`

Compiler

Compiled 36 to 21 computations (41.7% saved)

bsearch94.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	3.3663064631543684e+31	6.754361463814751e+32
64.0ms	-5.800919398199785e+36	-1.1079975905066742e+36

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes174.0ms (1.5%)

Counts

4 → 8

Calls

Call 1

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

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

Calls

3 calls:

68.0ms	z
68.0ms	x
35.0ms	y

Results

Error	Segments	Branch
29.9b	5	`x`
20.7b	5	`y`
15.1b	8	`z`

Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch711.0ms (6.2%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
104.0ms	1.1297880781774641e+118	3.1128345527995548e+119
182.0ms	2.6558356178737384e+69	1.459140410146367e+70
30.0ms	3.4880833490030865e+25	4.1281161425676926e+27
56.0ms	1.3666199441385415e-12	2.333807363459641e-8
30.0ms	-529609708.73840004	-0.7718415286321174
231.0ms	-1.1208704831166251e+50	-1.9522197832671996e+47
78.0ms	-8.503207691534403e+203	-9.585833552279057e+188

Compiler

Compiled 545 to 386 computations (29.2% saved)

regimes68.0ms (0.6%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	x
20.0ms	z
19.0ms	y

Results

Error	Segments	Branch
31.3b	5	`x`
31.0b	3	`y`
19.2b	3	`z`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch59.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	0.0070897175698634	0.7608788926045175
31.0ms	-529609708.73840004	-0.7718415286321174

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes18.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
x

Outputs
x

Calls

3 calls:

6.0ms	y
5.0ms	x
5.0ms	z

Results

Error	Segments	Branch
33.9b	1	`x`
33.9b	1	`y`
33.9b	1	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify91.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

107×	`distribute-rgt-neg-in_binary64`
85×	`cancel-sign-sub-inv_binary64`
75×	`distribute-lft-neg-out_binary64`
69×	`neg-sub0_binary64`
69×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	99	528
1	138	520
2	164	520
3	181	520
4	212	520
5	286	520
6	366	520
7	451	520
8	562	520
9	685	520
10	780	520
11	843	520
12	881	520
13	889	520

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (-.f64 1 y) z) -99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776) (+.f64 (.f64 y (.f64 z x)) (.f64 z (neg.f64 x))) (if (<=.f64 (.f64 (-.f64 1 y) z) 5000000000000000086783342084845643467613376308747652806184221615609263692738120562462065350159422529699348815841086237667836300331874146296123705395840026921093256846344688312059428864) (fma.f64 x (fma.f64 y z (neg.f64 z)) x) (+.f64 (.f64 y (.f64 z x)) (.f64 z (neg.f64 x)))))
(if (<=.f64 (.f64 (-.f64 1 y) z) -99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776) (+.f64 (.f64 y (.f64 z x)) (.f64 z (neg.f64 x))) (if (<=.f64 (.f64 (-.f64 1 y) z) 5000000000000000086783342084845643467613376308747652806184221615609263692738120562462065350159422529699348815841086237667836300331874146296123705395840026921093256846344688312059428864) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (+.f64 (.f64 y (.f64 z x)) (.f64 z (neg.f64 x)))))
(if (<=.f64 (.f64 (-.f64 1 y) z) -9999999999999999890870611821409196126784806260401358945180015464725302399110258148854112806457630061296658928320953898584032761523454337112604672) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 499999999999999978930451175173142066076775939048257141926258886614516577002786239313118268535951812574041306445493431857101228510021003209840763187482937088894311771724997242528629131330872974013383816137806524948480039480659075272709232330533995834790894142764502740352844098034426819117056) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (.f64 y (.f64 z x))))
(if (<=.f64 z -240248678834795/5444517870735015415413993718908291383296) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x) (if (<=.f64 z 3242820663632039/365375409332725729550921208179070754913983135744) (+.f64 x (.f64 (.f64 y z) x)) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)))
(if (<=.f64 z -6372079518702337/64) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 z 6853387794415561/9007199254740992) (+.f64 x (.f64 (.f64 y z) x)) (.f64 z (-.f64 (.f64 y x) x))))
(if (<=.f64 y -3713458448054941) (+.f64 x (.f64 (.f64 y z) x)) (if (<=.f64 y 4197720465531283/72057594037927936) (-.f64 x (.f64 z x)) (+.f64 x (.f64 (*.f64 y z) x))))
(if (<=.f64 y -5800919398199784819149172259101343744) (.f64 (.f64 y x) z) (if (<=.f64 y 33663064631543684302918073188352) (-.f64 x (.f64 z x)) (.f64 y (*.f64 z x))))
(if (<=.f64 y -5800919398199784819149172259101343744) (.f64 (.f64 y x) z) (if (<=.f64 y 33663064631543684302918073188352) (.f64 (-.f64 1 z) x) (.f64 y (*.f64 z x))))
(if (<=.f64 y -5800919398199784819149172259101343744) (.f64 (.f64 y x) z) (if (<=.f64 y 33663064631543684302918073188352) (.f64 (-.f64 1 z) x) (.f64 (*.f64 y x) z)))
(if (<=.f64 z -959999999999999972703287355969049874872140491928193297387072174786280519279668162731686303686859296603070877772119233309200937305382570696327981666637300584774319153810136639487253573271552) (.f64 z (neg.f64 x)) (if (<=.f64 z -200000000000000008769168609015239470926809530368) (.f64 (.f64 y x) z) (if (<=.f64 z -8885376479201225/16777216) (.f64 z (neg.f64 x)) (if (<=.f64 z 6767174189340201/4951760157141521099596496896) x (if (<=.f64 z 34880833490030864837378048) (.f64 (.f64 y x) z) (if (<=.f64 z 14499999999999999136086401449812836381362645001988088831590144524943360) (.f64 z (neg.f64 x)) (if (<=.f64 z 11500000000000000791363488428112033603384939657526188782639802325054070682610460382334171759848304150860061796435230720) (.f64 (.f64 y x) z) (.f64 z (neg.f64 x)))))))))
(if (<=.f64 z -8885376479201225/16777216) (.f64 z (neg.f64 x)) (if (<=.f64 z 4086943923942255/576460752303423488) x (.f64 z (neg.f64 x))))
x

Outputs
(if (<=.f64 (.f64 (-.f64 1 y) z) -99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776) (+.f64 (.f64 y (.f64 z x)) (.f64 z (neg.f64 x))) (if (<=.f64 (.f64 (-.f64 1 y) z) 5000000000000000086783342084845643467613376308747652806184221615609263692738120562462065350159422529699348815841086237667836300331874146296123705395840026921093256846344688312059428864) (fma.f64 x (fma.f64 y z (neg.f64 z)) x) (+.f64 (.f64 y (.f64 z x)) (.f64 z (neg.f64 x)))))
(if (<=.f64 (.f64 (-.f64 1 y) z) -99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776) (-.f64 (.f64 y (.f64 z x)) (.f64 z x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 5000000000000000086783342084845643467613376308747652806184221615609263692738120562462065350159422529699348815841086237667836300331874146296123705395840026921093256846344688312059428864) (fma.f64 x (fma.f64 y z (neg.f64 z)) x) (-.f64 (.f64 y (.f64 z x)) (.f64 z x))))
(if (<=.f64 (.f64 (-.f64 1 y) z) -99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776) (+.f64 (.f64 y (.f64 z x)) (.f64 z (neg.f64 x))) (if (<=.f64 (.f64 (-.f64 1 y) z) 5000000000000000086783342084845643467613376308747652806184221615609263692738120562462065350159422529699348815841086237667836300331874146296123705395840026921093256846344688312059428864) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (+.f64 (.f64 y (.f64 z x)) (.f64 z (neg.f64 x)))))
(if (<=.f64 (.f64 (-.f64 1 y) z) -99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776) (-.f64 (.f64 y (.f64 z x)) (.f64 z x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 5000000000000000086783342084845643467613376308747652806184221615609263692738120562462065350159422529699348815841086237667836300331874146296123705395840026921093256846344688312059428864) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (-.f64 (.f64 y (.f64 z x)) (.f64 z x))))
(if (<=.f64 (.f64 (-.f64 1 y) z) -9999999999999999890870611821409196126784806260401358945180015464725302399110258148854112806457630061296658928320953898584032761523454337112604672) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 499999999999999978930451175173142066076775939048257141926258886614516577002786239313118268535951812574041306445493431857101228510021003209840763187482937088894311771724997242528629131330872974013383816137806524948480039480659075272709232330533995834790894142764502740352844098034426819117056) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (.f64 y (.f64 z x))))
(if (<=.f64 z -240248678834795/5444517870735015415413993718908291383296) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x) (if (<=.f64 z 3242820663632039/365375409332725729550921208179070754913983135744) (+.f64 x (.f64 (.f64 y z) x)) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)))
(if (<=.f64 z -240248678834795/5444517870735015415413993718908291383296) (+.f64 x (.f64 z (.f64 x (+.f64 y -1)))) (if (<=.f64 z 3242820663632039/365375409332725729550921208179070754913983135744) (+.f64 x (.f64 x (.f64 y z))) (+.f64 x (.f64 z (.f64 x (+.f64 y -1))))))
(if (<=.f64 z -240248678834795/5444517870735015415413993718908291383296) (-.f64 x (.f64 z (.f64 (-.f64 1 y) x))) (if (<=.f64 z 3242820663632039/365375409332725729550921208179070754913983135744) (+.f64 x (.f64 x (.f64 y z))) (-.f64 x (.f64 z (.f64 (-.f64 1 y) x)))))
(if (<=.f64 z -6372079518702337/64) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 z 6853387794415561/9007199254740992) (+.f64 x (.f64 (.f64 y z) x)) (.f64 z (-.f64 (.f64 y x) x))))
(if (<=.f64 z -6372079518702337/64) (.f64 z (-.f64 (.f64 y x) x)) (if (<=.f64 z 6853387794415561/9007199254740992) (+.f64 x (.f64 x (.f64 y z))) (.f64 z (-.f64 (.f64 y x) x))))
(if (<=.f64 y -3713458448054941) (+.f64 x (.f64 (.f64 y z) x)) (if (<=.f64 y 4197720465531283/72057594037927936) (-.f64 x (.f64 z x)) (+.f64 x (.f64 (*.f64 y z) x))))
(if (<=.f64 y -3713458448054941) (+.f64 x (.f64 x (.f64 y z))) (if (<=.f64 y 4197720465531283/72057594037927936) (-.f64 x (.f64 z x)) (+.f64 x (.f64 x (*.f64 y z)))))
(if (<=.f64 y -5800919398199784819149172259101343744) (.f64 (.f64 y x) z) (if (<=.f64 y 33663064631543684302918073188352) (-.f64 x (.f64 z x)) (.f64 y (*.f64 z x))))
(if (<=.f64 y -5800919398199784819149172259101343744) (.f64 z (.f64 y x)) (if (<=.f64 y 33663064631543684302918073188352) (-.f64 x (.f64 z x)) (.f64 y (*.f64 z x))))
(if (<=.f64 y -5800919398199784819149172259101343744) (.f64 (.f64 y x) z) (if (<=.f64 y 33663064631543684302918073188352) (.f64 (-.f64 1 z) x) (.f64 y (*.f64 z x))))
(if (<=.f64 y -5800919398199784819149172259101343744) (.f64 z (.f64 y x)) (if (<=.f64 y 33663064631543684302918073188352) (.f64 x (-.f64 1 z)) (.f64 y (*.f64 z x))))
(if (<=.f64 y -5800919398199784819149172259101343744) (.f64 (.f64 y x) z) (if (<=.f64 y 33663064631543684302918073188352) (.f64 (-.f64 1 z) x) (.f64 (*.f64 y x) z)))
(if (<=.f64 y -5800919398199784819149172259101343744) (.f64 z (.f64 y x)) (if (<=.f64 y 33663064631543684302918073188352) (.f64 x (-.f64 1 z)) (.f64 z (*.f64 y x))))
(if (<=.f64 z -959999999999999972703287355969049874872140491928193297387072174786280519279668162731686303686859296603070877772119233309200937305382570696327981666637300584774319153810136639487253573271552) (.f64 z (neg.f64 x)) (if (<=.f64 z -200000000000000008769168609015239470926809530368) (.f64 (.f64 y x) z) (if (<=.f64 z -8885376479201225/16777216) (.f64 z (neg.f64 x)) (if (<=.f64 z 6767174189340201/4951760157141521099596496896) x (if (<=.f64 z 34880833490030864837378048) (.f64 (.f64 y x) z) (if (<=.f64 z 14499999999999999136086401449812836381362645001988088831590144524943360) (.f64 z (neg.f64 x)) (if (<=.f64 z 11500000000000000791363488428112033603384939657526188782639802325054070682610460382334171759848304150860061796435230720) (.f64 (.f64 y x) z) (.f64 z (neg.f64 x)))))))))
(if (<=.f64 z -959999999999999972703287355969049874872140491928193297387072174786280519279668162731686303686859296603070877772119233309200937305382570696327981666637300584774319153810136639487253573271552) (.f64 z (neg.f64 x)) (if (<=.f64 z -200000000000000008769168609015239470926809530368) (.f64 z (.f64 y x)) (if (<=.f64 z -8885376479201225/16777216) (.f64 z (neg.f64 x)) (if (<=.f64 z 6767174189340201/4951760157141521099596496896) x (if (<=.f64 z 34880833490030864837378048) (.f64 z (.f64 y x)) (if (<=.f64 z 14499999999999999136086401449812836381362645001988088831590144524943360) (.f64 z (neg.f64 x)) (if (<=.f64 z 11500000000000000791363488428112033603384939657526188782639802325054070682610460382334171759848304150860061796435230720) (.f64 z (.f64 y x)) (.f64 z (neg.f64 x)))))))))
(if (<=.f64 z -8885376479201225/16777216) (.f64 z (neg.f64 x)) (if (<=.f64 z 4086943923942255/576460752303423488) x (.f64 z (neg.f64 x))))
x

Compiler

Compiled 394 to 208 computations (47.2% saved)

soundness411.0ms (3.6%)

Algorithm

2×	egg-herbie

Rules

710×	`fma-def_binary64`
670×	`fma-def_binary64`
492×	`fma-neg_binary64`
419×	`fma-neg_binary64`
203×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (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
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 215 to 146 computations (32.1% saved)

end213.0ms (1.9%)

Compiler: Compiled 361 to 146 computations (59.6% 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	99	528
1	138	520
2	164	520
3	181	520
4	212	520
5	286	520
6	366	520
7	451	520
8	562	520
9	685	520
10	780	520
11	843	520
12	881	520
13	889	520

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	99	528
1	138	520
2	164	520
3	181	520
4	212	520
5	286	520
6	366	520
7	451	520
8	562	520
9	685	520
10	780	520
11	843	520
12	881	520
13	889	520

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	99	528
1	138	520
2	164	520
3	181	520
4	212	520
5	286	520
6	366	520
7	451	520
8	562	520
9	685	520
10	780	520
11	843	520
12	881	520
13	889	520