Details

analyze242.0ms (1.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
25%	71.8%	3.3%	9
34.3%	57.7%	7.9%	10
41.3%	50.3%	8.3%	11
46.8%	42.3%	10.9%	12

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample1.8s (13.6%)

Results

1.6s	8256×	body	256	valid
118.0ms	1028×	body	256	invalid

preprocess247.0ms (1.9%)

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)

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

2.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.1b	(fma.f64 x (fma.f64 y z (neg.f64 z)) x)
▶	2.1b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 y) z)
✓	2.0b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

Compiler

Compiled 31 to 20 computations (35.5% saved)

series9.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

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

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

Outputs

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

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

simplify88.0ms (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
✓	1.9b	(fma.f64 x (fma.f64 y z (neg.f64 z)) x)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series19.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	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	y	@	-inf	(fma.f64 x (fma.f64 y z (neg.f64 z)) x)
1.0ms	x	@	inf	(fma.f64 x (fma.f64 y z (neg.f64 z)) x)

rewrite52.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify74.0ms (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))

eval33.0ms (0.3%)

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

prune29.0ms (0.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	126	10	136
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	128	10	138

Error

0.0b

Counts

138 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.9b	(-.f64 x (*.f64 z x))
	17.9b	(*.f64 (-.f64 1 z) x)
▶	2.1b	(+.f64 x (.f64 (.f64 (-.f64 1 y) (neg.f64 z)) x))
▶	3.6b	(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
	16.9b	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))
	32.3b	x
▶	45.9b	(.f64 y (.f64 z x))
	3.3b	(pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))) 3)
▶	31.3b	(.f64 z (-.f64 (.f64 y x) x))
	31.4b	(.f64 z (.f64 (-.f64 y 1) x))

Compiler

Compiled 194 to 135 computations (30.4% saved)

localize32.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 y) (neg.f64 z))
✓	0.0b	(+.f64 x (.f64 (.f64 (-.f64 1 y) (neg.f64 z)) x))
✓	2.0b	(.f64 (.f64 (-.f64 1 y) (neg.f64 z)) x)

Compiler

Compiled 36 to 19 computations (47.2% saved)

series11.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite297.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`log-prod_binary64`
416×	`fma-def_binary64`
360×	`pow-prod-down_binary64`
262×	`pow2_binary64`
210×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	219	28
2	3182	28

Stop Event

1×	node limit

Counts

3 → 247

Calls

Call 1

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

Outputs

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

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

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

simplify139.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

919×	`fma-def_binary64`
480×	`fma-neg_binary64`
135×	`distribute-rgt-in_binary64`
124×	`unsub-neg_binary64`
113×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	1001
1	77	940
2	199	940
3	561	880
4	1173	880
5	2104	880
6	2840	880
7	2926	880
8	2926	880

Stop Event

1×

saturated

Counts

343 → 270

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

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

localize46.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.2b	(.f64 y (.f64 z x))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series15.0ms (0.1%)

Counts

1 → 0

Calls

9 calls:

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

rewrite167.0ms (1.3%)

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 y (.f64 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 y) (*.f64 z x)))))) (#(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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize30.0ms (0.2%)

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)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite121.0ms (0.9%)

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)))))))

simplify301.0ms (2.3%)

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)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series11.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite198.0ms (1.5%)

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))))))

simplify70.0ms (0.5%)

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)

localize25.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 18 computations (41.9% saved)

series20.0ms (0.2%)

Counts

3 → 51

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(.f64 z (.f64 (-.f64 y 1) x))
1.0ms	z	@	0	(.f64 z (.f64 (-.f64 y 1) x))
1.0ms	x	@	inf	(.f64 z (.f64 (-.f64 y 1) x))
1.0ms	x	@	0	(.f64 z (.f64 (-.f64 y 1) x))
1.0ms	z	@	inf	(.f64 z (.f64 (-.f64 y 1) x))

rewrite202.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

489×	`log-prod_binary64`
379×	`pow-prod-down_binary64`
367×	`fma-def_binary64`
358×	`exp-prod_binary64`
253×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	196	28
2	2714	28

Stop Event

1×	node limit

Counts

3 → 132

Calls

Call 1

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

Outputs

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

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

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

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

486×	`fma-neg_binary64`
472×	`fma-def_binary64`
186×	`distribute-rgt-in_binary64`
175×	`distribute-lft-in_binary64`
124×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	500
1	66	457
2	164	457
3	391	457
4	1076	457
5	2209	457
6	2541	457
7	2630	457
8	2640	457
9	2640	457

Stop Event

1×

saturated

Counts

183 → 151

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

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

eval327.0ms (2.5%)

Compiler: Compiled 8713 to 4775 computations (45.2% saved)

prune92.0ms (0.7%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	544	8	552
Fresh	4	1	5
Picked	1	0	1
Done	1	3	4
Total	550	12	562

Error

Counts

562 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.9b	(pow.f64 (cbrt.f64 (.f64 z (.f64 x (-.f64 y 1)))) 3)
▶	16.9b	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))
✓	45.9b	(.f64 y (.f64 z x))
	31.4b	(.f64 z (.f64 (-.f64 y 1) x))
✓	17.9b	(-.f64 x (*.f64 z x))
	45.6b	(.f64 (.f64 y x) z)
▶	47.7b	(*.f64 z (neg.f64 x))
	32.3b	x
▶	16.9b	(+.f64 x (.f64 (.f64 z y) x))
▶	17.9b	(*.f64 (-.f64 1 z) x)
✓	31.3b	(.f64 z (-.f64 (.f64 y x) x))
	31.9b	(.f64 z (pow.f64 (cbrt.f64 (.f64 x (-.f64 y 1))) 3))

Compiler

Compiled 190 to 133 computations (30% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 (.f64 z y) x))
✓	5.3b	(.f64 (.f64 z y) x)

Compiler

Compiled 21 to 6 computations (71.4% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite92.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify438.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

124 → 59

Calls

Call 1

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

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

localize5.0ms (0%)

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

localize6.0ms (0%)

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)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`pow1_binary64`
572×	`add-log-exp_binary64`
572×	`log1p-expm1-u_binary64`
572×	`expm1-log1p-u_binary64`
561×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	122	7
2	1510	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

140×	`fma-def_binary64`
84×	`fma-neg_binary64`
22×	`cancel-sign-sub-inv_binary64`
21×	`associate-r_binary64`
19×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	85
1	14	76
2	33	76
3	51	76
4	72	76
5	146	76
6	283	76
7	392	76
8	475	76
9	539	76

Stop Event

1×

saturated

Counts

29 → 22

Calls

Call 1

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.0b	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series11.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	y	@	0	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))
1.0ms	x	@	0	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))
1.0ms	y	@	inf	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))
0.0ms	x	@	inf	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))
0.0ms	z	@	0	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))

rewrite61.0ms (0.5%)

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)))))))

simplify142.0ms (1.1%)

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)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 y 1))
✓	0.7b	(pow.f64 (cbrt.f64 (.f64 z (.f64 x (-.f64 y 1)))) 3)
✓	3.4b	(.f64 z (.f64 x (-.f64 y 1)))
✓	5.7b	(cbrt.f64 (.f64 z (.f64 x (-.f64 y 1))))

Compiler

Compiled 41 to 26 computations (36.6% saved)

series73.0ms (0.6%)

Counts

4 → 68

Calls

33 calls:

Time	Variable		Point	Expression
30.0ms	z	@	0	(pow.f64 (cbrt.f64 (.f64 z (.f64 x (-.f64 y 1)))) 3)
15.0ms	y	@	0	(pow.f64 (cbrt.f64 (.f64 z (.f64 x (-.f64 y 1)))) 3)
4.0ms	y	@	0	(cbrt.f64 (.f64 z (.f64 x (-.f64 y 1))))
2.0ms	z	@	inf	(cbrt.f64 (.f64 z (.f64 x (-.f64 y 1))))
1.0ms	z	@	0	(cbrt.f64 (.f64 z (.f64 x (-.f64 y 1))))

rewrite146.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

477×	`log-prod_binary64`
415×	`prod-exp_binary64`
357×	`pow-prod-down_binary64`
348×	`exp-prod_binary64`
247×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	233	39
2	2586	39

Stop Event

1×	node limit

Counts

4 → 198

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 z) (cbrt.f64 (.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 2) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (+.f64 y -1))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (.f64 (+.f64 y -1) z)) 1/6) (pow.f64 (.f64 x (.f64 (+.f64 y -1) z)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 z x)) (cbrt.f64 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 (+.f64 y -1) z)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 (+.f64 y -1) z)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 (+.f64 y -1) z)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (.f64 (+.f64 y -1) z))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 (+.f64 y -1) z)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 (.f64 x (.f64 (+.f64 y -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))))) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (.f64 (+.f64 y -1) z))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/6 (log.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 (+.f64 y -1) z))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 (+.f64 y -1) z))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 (+.f64 y -1) z)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 (+.f64 y -1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (.f64 z x)) (.f64 -1 (.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 z x) y) (.f64 (.f64 z x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (.f64 x (+.f64 y -1)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (.f64 x (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (.f64 x (+.f64 y -1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (.f64 x (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 z x) (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 z x) (fma.f64 y y -1)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 (+.f64 y -1) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (.f64 x (.f64 (+.f64 y -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 (+.f64 y -1) z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 (+.f64 y -1) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (.f64 (+.f64 y -1) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 (+.f64 y -1) z)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 2)) (cbrt.f64 (log.f64 (.f64 x (.f64 (+.f64 y -1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 (+.f64 y -1) z))))) (sqrt.f64 (log.f64 (.f64 x (.f64 (+.f64 y -1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (.f64 (+.f64 y -1) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 (+.f64 y -1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (.f64 (+.f64 y -1) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 (+.f64 y -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 (+.f64 y -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (.f64 (+.f64 y -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (.f64 (+.f64 y -1) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 (+.f64 y -1) z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 (+.f64 y -1) z))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 z) 1) (log.f64 (.f64 x (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 z) (.f64 (log.f64 (.f64 x (+.f64 y -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 z) 1) (.f64 (log.f64 (.f64 x (+.f64 y -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (+.f64 y -1)) 1) (log.f64 (.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 y -1))) 1) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (.f64 x (+.f64 y -1))) (.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 y -1))) 1) (.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (.f64 (+.f64 y -1) z))) 1/3) (.f64 2/3 (log.f64 (.f64 x (.f64 (+.f64 y -1) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 1) (.f64 2/3 (log.f64 (.f64 x (.f64 (+.f64 y -1) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 2/3 (log.f64 (.f64 x (.f64 (+.f64 y -1) z)))) (.f64 (log.f64 (.f64 x (.f64 (+.f64 y -1) z))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 2/3 (log.f64 (.f64 x (.f64 (+.f64 y -1) z)))) (.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 3/2) (log.f64 (sqrt.f64 (.f64 x (.f64 (+.f64 y -1) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) (.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 3/2) (.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (.f64 z x)) (.f64 (log.f64 (+.f64 y -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (.f64 z x) (.f64 -1 (.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 z x) y (.f64 (*.f64 z x) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 (+.f64 y -1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (.f64 z x)) (.f64 -1 (.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 z x) y) (.f64 (.f64 z x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (.f64 x (+.f64 y -1)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (.f64 x (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (.f64 x (+.f64 y -1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (.f64 x (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 z (.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (+.f64 y -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (.f64 (+.f64 y -1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y -1) (.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (+.f64 y -1)) z)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (.f64 (+.f64 y -1) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))) (pow.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))) 2) (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 z) (.f64 (cbrt.f64 (.f64 x (+.f64 y -1))) (pow.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) (pow.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y -1))) 2) (.f64 (cbrt.f64 (.f64 x (+.f64 y -1))) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (.f64 (+.f64 y -1) z))) (sqrt.f64 (.f64 x (.f64 (+.f64 y -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (.f64 (+.f64 y -1) z)) 1/6) (pow.f64 (.f64 x (.f64 (+.f64 y -1) z)) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (+.f64 y -1))) (.f64 (sqrt.f64 (.f64 x (+.f64 y -1))) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z x) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (.f64 (+.f64 y -1) z)) 5/6) (pow.f64 (.f64 x (.f64 (+.f64 y -1) z)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z (+.f64 y -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z (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 (.f64 z (sqrt.f64 (.f64 x (+.f64 y -1)))) (sqrt.f64 (.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (+.f64 y -1)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (+.f64 y -1)) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))) 2) 1) (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))) 2) (cbrt.f64 z)) (cbrt.f64 (.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z))))) 2) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 z x) 1) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 z x) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 z x) (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 z x) (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 z x) (fma.f64 y y -1)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (.f64 (+.f64 y -1) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 (+.f64 y -1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (.f64 (+.f64 y -1) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 (+.f64 y -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 (+.f64 y -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (.f64 (+.f64 y -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (.f64 (+.f64 y -1) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 (+.f64 y -1) z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 (+.f64 y -1) z))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 z) 1) (log.f64 (.f64 x (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 z) (.f64 (log.f64 (.f64 x (+.f64 y -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 z) 1) (.f64 (log.f64 (.f64 x (+.f64 y -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (+.f64 y -1)) 1) (log.f64 (.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 y -1))) 1) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (.f64 x (+.f64 y -1))) (.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 y -1))) 1) (.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (.f64 (+.f64 y -1) z))) 1/3) (.f64 2/3 (log.f64 (.f64 x (.f64 (+.f64 y -1) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 1) (.f64 2/3 (log.f64 (.f64 x (.f64 (+.f64 y -1) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 2/3 (log.f64 (.f64 x (.f64 (+.f64 y -1) z)))) (.f64 (log.f64 (.f64 x (.f64 (+.f64 y -1) z))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 2/3 (log.f64 (.f64 x (.f64 (+.f64 y -1) z)))) (.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 3/2) (log.f64 (sqrt.f64 (.f64 x (.f64 (+.f64 y -1) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) (.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 3/2) (.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y -1) z)))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (.f64 z x)) (.f64 (log.f64 (+.f64 y -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (.f64 z x) (.f64 -1 (.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 z x) y (.f64 (*.f64 z x) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y x) (.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x y) (.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 y 3) -1) x) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 y y -1) x) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (fma.f64 y y -1)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (+.f64 y -1)) 2) 1/2)))) (#(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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 y -1)))) 2)) (cbrt.f64 (log.f64 (.f64 x (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 y -1))))) (sqrt.f64 (log.f64 (.f64 x (+.f64 y -1)))))))) (#(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 (pow.f64 (exp.f64 x) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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 exp.f64 (.f64 (log.f64 (.f64 x (+.f64 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (+.f64 y -1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 y -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 y -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (+.f64 y -1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 (+.f64 y -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (+.f64 y -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (+.f64 y -1)) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (+.f64 y -1)) (.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (+.f64 y -1)) 1) (.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (.f64 -1 x))))))

simplify112.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

867×	`fma-def_binary64`
813×	`times-frac_binary64`
390×	`unswap-sqr_binary64`
293×	`distribute-lft-out_binary64`
249×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	154	1606
1	530	1422
2	1872	1407
3	5466	1404

Stop Event

1×	node limit

Counts

266 → 185

Calls

Call 1

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

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

eval228.0ms (1.8%)

Compiler: Compiled 5172 to 3568 computations (31% saved)

prune54.0ms (0.4%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	286	4	290
Fresh	2	2	4
Picked	1	0	1
Done	1	6	7
Total	290	12	302

Error

Counts

302 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	47.7b	(*.f64 z (neg.f64 x))
▶	16.9b	(.f64 (+.f64 (.f64 y z) 1) x)
	32.3b	x
✓	16.9b	(+.f64 x (.f64 (.f64 z y) x))
✓	17.9b	(-.f64 x (*.f64 z x))
▶	45.6b	(.f64 (.f64 y x) z)
▶	24.7b	(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 y z) 2)) x) (+.f64 1 (*.f64 y z)))
✓	45.9b	(.f64 y (.f64 z x))
▶	31.4b	(.f64 (.f64 x (+.f64 y -1)) z)
✓	17.9b	(*.f64 (-.f64 1 z) x)
✓	31.3b	(.f64 z (-.f64 (.f64 y x) x))
▶	31.9b	(.f64 z (pow.f64 (cbrt.f64 (.f64 x (-.f64 y 1))) 3))

Compiler

Compiled 173 to 118 computations (31.8% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.0b	(.f64 (+.f64 (.f64 y z) 1) x)

Compiler

Compiled 22 to 10 computations (54.5% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(.f64 (+.f64 (.f64 y z) 1) x)
1.0ms	x	@	inf	(.f64 (+.f64 (.f64 y z) 1) x)
0.0ms	x	@	0	(.f64 (+.f64 (.f64 y z) 1) x)
0.0ms	x	@	-inf	(.f64 (+.f64 (.f64 y z) 1) x)
0.0ms	y	@	-inf	(.f64 (+.f64 (.f64 y z) 1) x)

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	162	8
2	2002	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`fma-def_binary64`
11×	`associate-r_binary64`
11×	`associate-l_binary64`
6×	`*-commutative_binary64`
5×	`*-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	174
1	13	174
2	25	174
3	37	174
4	43	174
5	57	174
6	82	174
7	86	174
8	88	174

Stop Event

1×

saturated

Counts

45 → 26

Calls

Call 1

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite56.0ms (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 x) z)

Outputs

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

simplify12.0ms (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))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

919×	`pow1_binary64`
850×	`add-log-exp_binary64`
850×	`log1p-expm1-u_binary64`
850×	`expm1-log1p-u_binary64`
832×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	171	17
2	2292	17

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

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

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

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

720×	`fma-def_binary64`
244×	`fma-neg_binary64`
83×	`cancel-sign-sub-inv_binary64`
65×	`distribute-rgt-in_binary64`
58×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	508
1	40	508
2	79	508
3	101	508
4	156	508
5	272	508
6	557	508
7	1095	508
8	1595	508
9	1741	508
10	1743	508

Stop Event

1×

saturated

Counts

99 → 52

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (*.f64 y z) 2)
✓	3.1b	(.f64 (+.f64 1 (pow.f64 (.f64 y z) 2)) x)
✓	8.2b	(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 y z) 2)) x) (+.f64 1 (*.f64 y z)))

Compiler

Compiled 52 to 27 computations (48.1% saved)

series18.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(.f64 (+.f64 1 (pow.f64 (.f64 y z) 2)) x)
2.0ms	y	@	0	(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 y z) 2)) x) (+.f64 1 (*.f64 y z)))
1.0ms	x	@	0	(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 y z) 2)) x) (+.f64 1 (*.f64 y z)))
1.0ms	y	@	inf	(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 y z) 2)) x) (+.f64 1 (*.f64 y z)))
1.0ms	z	@	-inf	(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 y z) 2)) x) (+.f64 1 (*.f64 y z)))

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

837×	`prod-diff_binary64`
628×	`log-prod_binary64`
448×	`fma-def_binary64`
218×	`expm1-udef_binary64`
218×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	262	40
2	3603	36

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

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

Outputs

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

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

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

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

515×	`fma-def_binary64`
434×	`distribute-rgt-neg-in_binary64`
431×	`distribute-rgt-out_binary64`
349×	`distribute-lft-neg-in_binary64`
304×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	1658
1	268	1546
2	915	1398
3	4129	1366

Stop Event

1×	node limit

Counts

217 → 151

Calls

Call 1

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

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

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 40 to 27 computations (32.5% saved)

series27.0ms (0.2%)

Counts

3 → 44

Calls

21 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(.f64 z (pow.f64 (cbrt.f64 (.f64 x (-.f64 y 1))) 3))
3.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 x (-.f64 y 1))) 3)
3.0ms	y	@	0	(cbrt.f64 (*.f64 x (-.f64 y 1)))
2.0ms	y	@	-inf	(.f64 z (pow.f64 (cbrt.f64 (.f64 x (-.f64 y 1))) 3))
1.0ms	x	@	inf	(.f64 z (pow.f64 (cbrt.f64 (.f64 x (-.f64 y 1))) 3))

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

962×	`pow1_binary64`
898×	`add-log-exp_binary64`
896×	`log1p-expm1-u_binary64`
896×	`expm1-log1p-u_binary64`
103×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	232	26
2	2528	26

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

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

Outputs

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

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

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

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

848×	`times-frac_binary64`
698×	`fma-def_binary64`
448×	`*-commutative_binary64`
415×	`associate-/r/_binary64`
307×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	1112
1	460	1020
2	1630	1009
3	5285	987

Stop Event

1×	node limit

Counts

120 → 99

Calls

Call 1

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

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

eval233.0ms (1.8%)

Compiler: Compiled 6813 to 4362 computations (36% saved)

prune235.0ms (1.8%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	381	3	384
Fresh	0	1	1
Picked	1	0	1
Done	1	9	10
Total	383	13	396

Error

Counts

396 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	47.7b	(*.f64 z (neg.f64 x))
✓	16.9b	(.f64 (+.f64 (.f64 y z) 1) x)
	32.3b	x
✓	16.9b	(+.f64 x (.f64 (.f64 z y) x))
✓	17.9b	(-.f64 x (*.f64 z x))
✓	45.6b	(.f64 (.f64 y x) z)
✓	31.4b	(.f64 (.f64 x (+.f64 y -1)) z)
	45.9b	(.f64 z (pow.f64 (cbrt.f64 (.f64 y x)) 3))
	46.7b	(.f64 x (.f64 y z))
	24.7b	(/.f64 (.f64 (+.f64 1 (.f64 (.f64 (.f64 y z) z) y)) x) (+.f64 1 (*.f64 y z)))
✓	17.9b	(*.f64 (-.f64 1 z) x)
✓	45.9b	(.f64 y (.f64 z x))
✓	31.3b	(.f64 z (-.f64 (.f64 y x) x))

Compiler

Compiled 122 to 80 computations (34.4% saved)

regimes457.0ms (3.5%)

Counts

27 → 3

Calls

Call 1

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

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

Calls

11 calls:

88.0ms	(*.f64 (-.f64 1 y) z)
71.0ms	x
67.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
57.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))
46.0ms	(*.f64 (-.f64 1 y) z)

Results

Error	Segments	Branch
0.1b	3	`x`
2.1b	1	`y`
2.1b	1	`z`
2.1b	1	`(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))`
2.1b	1	`(.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 282 to 169 computations (40.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0816551255440614e+261	1.268536500491189e+272
0.0ms	-2.5998432566081103e+286	-4.1990994980851357e+276

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes281.0ms (2.2%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

9 calls:

81.0ms	(*.f64 (-.f64 1 y) z)
61.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))
33.0ms	x
32.0ms	(*.f64 (-.f64 1 y) z)
20.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))

Results

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

Compiler

Compiled 224 to 130 computations (42% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0816551255440614e+261	1.268536500491189e+272
0.0ms	-2.5998432566081103e+286	-4.1990994980851357e+276

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes364.0ms (2.8%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

9 calls:

171.0ms	z
72.0ms	x
26.0ms	(*.f64 (-.f64 1 y) z)
25.0ms	(*.f64 (-.f64 1 y) z)
19.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))

Results

Error	Segments	Branch
0.1b	3	`x`
2.1b	1	`y`
1.1b	2	`z`
2.1b	1	`(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))`
0.1b	3	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
0.1b	3	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
0.1b	3	`(*.f64 (-.f64 1 y) z)`
0.1b	3	`(*.f64 (-.f64 1 y) z)`
2.1b	1	`(-.f64 1 y)`

Compiler

Compiled 174 to 105 computations (39.7% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0816551255440614e+261	1.268536500491189e+272
0.0ms	-2.5998432566081103e+286	-4.1990994980851357e+276

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes149.0ms (1.2%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

3 calls:

64.0ms	z
63.0ms	x
18.0ms	y

Results

Error	Segments	Branch
1.7b	2	`x`
2.6b	2	`y`
0.1b	3	`z`

Compiler

Compiled 111 to 57 computations (48.6% saved)

bsearch36.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	6.334099320555244e-12	1.9805902550439096e-11
18.0ms	-103.83935436632085	-2.522133415164985e-10

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes240.0ms (1.9%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

90.0ms	y
85.0ms	x
62.0ms	z

Results

Error	Segments	Branch
13.6b	4	`x`
2.6b	3	`y`
0.7b	3	`z`

Compiler

Compiled 102 to 52 computations (49% saved)

bsearch41.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	2.7017812144064274e-8	7522.256464459951
18.0ms	-103.83935436632085	-2.522133415164985e-10

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes173.0ms (1.3%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

3 calls:

81.0ms	x
66.0ms	z
23.0ms	y

Results

Error	Segments	Branch
13.6b	4	`x`
2.6b	3	`y`
0.7b	3	`z`

Compiler

Compiled 80 to 41 computations (48.8% saved)

bsearch74.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
55.0ms	2.7017812144064274e-8	7522.256464459951
18.0ms	-103.83935436632085	-2.522133415164985e-10

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes111.0ms (0.9%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

47.0ms	y
38.0ms	x
22.0ms	z

Results

Error	Segments	Branch
13.6b	4	`x`
2.6b	3	`y`
0.7b	3	`z`

Compiler

Compiled 73 to 38 computations (47.9% saved)

bsearch90.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	2.7017812144064274e-8	7522.256464459951
68.0ms	-103.83935436632085	-2.522133415164985e-10

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes183.0ms (1.4%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

76.0ms	z
55.0ms	y
49.0ms	x

Results

Error	Segments	Branch
14.4b	4	`x`
2.6b	3	`y`
8.3b	3	`z`

Compiler

Compiled 59 to 30 computations (49.2% saved)

bsearch118.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	9.032701963062359e-18	8.251536096667123e-16
60.0ms	-594893.0191040874	-52.92692311225631

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes293.0ms (2.3%)

Counts

10 → 7

Calls

Call 1

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

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

Calls

3 calls:

109.0ms	z
100.0ms	x
80.0ms	y

Results

Error	Segments	Branch
16.8b	3	`x`
7.0b	7	`y`
13.9b	5	`z`

Compiler

Compiled 52 to 27 computations (48.1% saved)

bsearch473.0ms (3.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
96.0ms	3.0591243752692875e+175	5.12161740545908e+181
83.0ms	1.5283487227012904e+127	2.2079484072718798e+128
18.0ms	21732.906619762645	63026126783.283066
20.0ms	-347810104224818.25	-35794096302086.34
41.0ms	-3.1183467535508773e+52	-1.9529138191448257e+45
215.0ms	-8.653539159273347e+151	-1.079673940937765e+148

Compiler

Compiled 372 to 268 computations (28% saved)

regimes116.0ms (0.9%)

Counts

9 → 7

Calls

Call 1

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

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

Calls

3 calls:

47.0ms	y
38.0ms	x
28.0ms	z

Results

Error	Segments	Branch
16.8b	3	`x`
7.4b	7	`y`
13.9b	5	`z`

Compiler

Compiled 47 to 26 computations (44.7% saved)

bsearch271.0ms (2.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
101.0ms	3.0591243752692875e+175	5.12161740545908e+181
18.0ms	4.707145359702245e+81	1.7735830986776157e+92
19.0ms	21732.906619762645	63026126783.283066
19.0ms	-347810104224818.25	-35794096302086.34
19.0ms	-3.1183467535508773e+52	-1.9529138191448257e+45
94.0ms	-8.653539159273347e+151	-1.079673940937765e+148

Compiler

Compiled 288 to 208 computations (27.8% saved)

regimes196.0ms (1.5%)

Counts

6 → 6

Calls

Call 1

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

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

Calls

3 calls:

92.0ms	y
53.0ms	x
28.0ms	z

Results

Error	Segments	Branch
27.8b	8	`x`
18.2b	13	`y`
14.3b	6	`z`

Compiler

Compiled 32 to 18 computations (43.8% saved)

bsearch323.0ms (2.5%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
35.0ms	2.7017812144064274e-8	7522.256464459951
17.0ms	-1.1174388227479588e-113	-6.813877046644007e-119
55.0ms	-1.4255418012026063e-97	-4.8841656666078635e-98
35.0ms	-2.136451011578111e-13	-9.17794530840893e-19
180.0ms	-2.933884775136544e+104	-8.0104046949203275e+93

Compiler

Compiled 188 to 134 computations (28.7% saved)

regimes150.0ms (1.2%)

Counts

5 → 6

Calls

Call 1

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

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

Calls

3 calls:

76.0ms	y
46.0ms	x
27.0ms	z

Results

Error	Segments	Branch
31.0b	3	`x`
19.0b	13	`y`
14.5b	6	`z`

Compiler

Compiled 27 to 16 computations (40.7% saved)

bsearch296.0ms (2.3%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
33.0ms	2.7017812144064274e-8	7522.256464459951
37.0ms	-1.1174388227479588e-113	-6.813877046644007e-119
67.0ms	-1.4255418012026063e-97	-4.8841656666078635e-98
26.0ms	-2.136451011578111e-13	-9.17794530840893e-19
133.0ms	-2.933884775136544e+104	-8.0104046949203275e+93

Compiler

Compiled 188 to 134 computations (28.7% saved)

regimes108.0ms (0.8%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

56.0ms	y
25.0ms	z
25.0ms	x

Results

Error	Segments	Branch
31.2b	3	`x`
28.7b	7	`y`
18.5b	3	`z`

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch64.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	2.7017812144064274e-8	7522.256464459951
33.0ms	-1.424565975801495e-12	-2.136451011578111e-13

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes16.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

3 → 1

Calls

Call 1

Inputs
x
x
x

Outputs
x

Calls

3 calls:

6.0ms	y
4.0ms	x
4.0ms	z

Results

Error	Segments	Branch
32.3b	1	`x`
32.3b	1	`y`
32.3b	1	`z`

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

117×	`distribute-rgt-neg-in_binary64`
86×	`cancel-sign-sub-inv_binary64`
82×	`distribute-lft-neg-out_binary64`
76×	`neg-sub0_binary64`
76×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	675
1	158	675
2	183	673
3	208	673
4	241	673
5	306	673
6	381	673
7	463	673
8	576	673
9	713	673
10	826	673
11	904	673
12	955	673
13	967	673

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (-.f64 1 y) z) -20000000000000000659772220681739349708541760230090157273695166283476051455572179757829577437172648825720234763258804796801176404423035231723648162334475581182265411854154116760902236415845219149874785960097287583308603847444296622450025442333641668526250689307834574586599814167487578112) (.f64 y (.f64 z x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 1999999999999999857547681040733515073753478641623153224463562961402940190709054988015492682882276552884948779539095127050864586233002245134357428718762445554209708921491609358759288994086416534767263294334755723897091779949617923739887142153550856217846978969600) (fma.f64 x (fma.f64 y z (neg.f64 z)) x) (.f64 (.f64 x (+.f64 y -1)) z)))
(if (<=.f64 (.f64 (-.f64 1 y) z) -20000000000000000659772220681739349708541760230090157273695166283476051455572179757829577437172648825720234763258804796801176404423035231723648162334475581182265411854154116760902236415845219149874785960097287583308603847444296622450025442333641668526250689307834574586599814167487578112) (.f64 y (.f64 z x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 1999999999999999857547681040733515073753478641623153224463562961402940190709054988015492682882276552884948779539095127050864586233002245134357428718762445554209708921491609358759288994086416534767263294334755723897091779949617923739887142153550856217846978969600) (+.f64 x (.f64 (.f64 (-.f64 1 y) (neg.f64 z)) x)) (.f64 (.f64 x (+.f64 y -1)) z)))
(if (<=.f64 (.f64 (-.f64 1 y) z) -20000000000000000659772220681739349708541760230090157273695166283476051455572179757829577437172648825720234763258804796801176404423035231723648162334475581182265411854154116760902236415845219149874785960097287583308603847444296622450025442333641668526250689307834574586599814167487578112) (.f64 y (.f64 z x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 1999999999999999857547681040733515073753478641623153224463562961402940190709054988015492682882276552884948779539095127050864586233002245134357428718762445554209708921491609358759288994086416534767263294334755723897091779949617923739887142153550856217846978969600) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (.f64 (.f64 x (+.f64 y -1)) z)))
(if (<=.f64 z -7307044962977429/70368744177664) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x) (if (<=.f64 z 7841235161725659/1237940039285380274899124224) (+.f64 x (.f64 (.f64 z y) x)) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)))
(if (<=.f64 z -7307044962977429/70368744177664) (.f64 (.f64 x (+.f64 y -1)) z) (if (<=.f64 z 4082816336307123/151115727451828646838272) (+.f64 x (.f64 (.f64 z y) x)) (.f64 z (-.f64 (.f64 y x) x))))
(if (<=.f64 z -7307044962977429/70368744177664) (.f64 (.f64 x (+.f64 y -1)) z) (if (<=.f64 z 4082816336307123/151115727451828646838272) (+.f64 x (.f64 (.f64 z y) x)) (.f64 (.f64 x (+.f64 y -1)) z)))
(if (<=.f64 z -7307044962977429/70368744177664) (.f64 (.f64 x (+.f64 y -1)) z) (if (<=.f64 z 4082816336307123/151115727451828646838272) (.f64 (+.f64 (.f64 y z) 1) x) (.f64 (.f64 x (+.f64 y -1)) z)))
(if (<=.f64 y -5110092123341517/8589934592) (.f64 (+.f64 (.f64 y z) 1) x) (if (<=.f64 y 5862558753361257/649037107316853453566312041152512) (.f64 (-.f64 1 z) x) (.f64 (+.f64 (*.f64 y z) 1) x)))
(if (<=.f64 y -85000000000000005094283874391540577779960424156619040183931595220790567141097021973898767881309588684096894224937941899501522606114860220794901813526528) (.f64 y (.f64 z x)) (if (<=.f64 y -31183467535508772705204829743908501765913448638578688) (.f64 (-.f64 1 z) x) (if (<=.f64 y -1391240416899273/4) (.f64 x (.f64 y z)) (if (<=.f64 y 2986947941724879/137438953472) (.f64 (-.f64 1 z) x) (if (<=.f64 y 15500000000000001165204547206032233725807150497462327308985091086545371841257435672300387067015249549138122303102214158063501312) (.f64 y (.f64 z x)) (if (<=.f64 y 50000000000000003226559936361919779827105376205144584884917978916367904662510143278135754996687257850822691394447592090096097397546144525317852447661395664561828975608881910401466368) x (.f64 (.f64 y x) z)))))))
(if (<=.f64 y -85000000000000005094283874391540577779960424156619040183931595220790567141097021973898767881309588684096894224937941899501522606114860220794901813526528) (.f64 (.f64 y x) z) (if (<=.f64 y -31183467535508772705204829743908501765913448638578688) (.f64 (-.f64 1 z) x) (if (<=.f64 y -1391240416899273/4) (.f64 x (.f64 y z)) (if (<=.f64 y 2986947941724879/137438953472) (.f64 (-.f64 1 z) x) (if (<=.f64 y 4707145359702245044803663792794907996202766341542658078380252402990063207353155584) (.f64 (.f64 y x) z) (if (<=.f64 y 50000000000000003226559936361919779827105376205144584884917978916367904662510143278135754996687257850822691394447592090096097397546144525317852447661395664561828975608881910401466368) x (.f64 (.f64 y x) z)))))))
(if (<=.f64 z -4599999999999999770096951917681887952009914474945880003083943784430240519915639368705127701481609232384) (.f64 z (neg.f64 x)) (if (<=.f64 z -8463354397453751/39614081257132168796771975168) (.f64 (.f64 y x) z) (if (<=.f64 z -2742637054892795/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) x (if (<=.f64 z -3872860948584133/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (.f64 x (.f64 y z)) (if (<=.f64 z 4082816336307123/151115727451828646838272) x (.f64 z (neg.f64 x)))))))
(if (<=.f64 z -4599999999999999770096951917681887952009914474945880003083943784430240519915639368705127701481609232384) (.f64 z (neg.f64 x)) (if (<=.f64 z -8463354397453751/39614081257132168796771975168) (.f64 x (.f64 y z)) (if (<=.f64 z -2742637054892795/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) x (if (<=.f64 z -3872860948584133/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (.f64 x (.f64 y z)) (if (<=.f64 z 4082816336307123/151115727451828646838272) x (.f64 z (neg.f64 x)))))))
(if (<=.f64 z -7054109040193275/4951760157141521099596496896) (.f64 z (neg.f64 x)) (if (<=.f64 z 4082816336307123/151115727451828646838272) x (.f64 z (neg.f64 x))))
x

Outputs
(if (<=.f64 (.f64 (-.f64 1 y) z) -20000000000000000659772220681739349708541760230090157273695166283476051455572179757829577437172648825720234763258804796801176404423035231723648162334475581182265411854154116760902236415845219149874785960097287583308603847444296622450025442333641668526250689307834574586599814167487578112) (.f64 y (.f64 z x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 1999999999999999857547681040733515073753478641623153224463562961402940190709054988015492682882276552884948779539095127050864586233002245134357428718762445554209708921491609358759288994086416534767263294334755723897091779949617923739887142153550856217846978969600) (fma.f64 x (fma.f64 y z (neg.f64 z)) x) (.f64 (.f64 x (+.f64 y -1)) z)))
(if (<=.f64 (.f64 (-.f64 1 y) z) -20000000000000000659772220681739349708541760230090157273695166283476051455572179757829577437172648825720234763258804796801176404423035231723648162334475581182265411854154116760902236415845219149874785960097287583308603847444296622450025442333641668526250689307834574586599814167487578112) (.f64 y (.f64 z x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 1999999999999999857547681040733515073753478641623153224463562961402940190709054988015492682882276552884948779539095127050864586233002245134357428718762445554209708921491609358759288994086416534767263294334755723897091779949617923739887142153550856217846978969600) (fma.f64 x (fma.f64 y z (neg.f64 z)) x) (.f64 z (.f64 x (-.f64 y 1)))))
(if (<=.f64 (.f64 (-.f64 1 y) z) -20000000000000000659772220681739349708541760230090157273695166283476051455572179757829577437172648825720234763258804796801176404423035231723648162334475581182265411854154116760902236415845219149874785960097287583308603847444296622450025442333641668526250689307834574586599814167487578112) (.f64 y (.f64 z x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 1999999999999999857547681040733515073753478641623153224463562961402940190709054988015492682882276552884948779539095127050864586233002245134357428718762445554209708921491609358759288994086416534767263294334755723897091779949617923739887142153550856217846978969600) (fma.f64 x (fma.f64 y z (neg.f64 z)) x) (.f64 z (.f64 x (+.f64 y -1)))))
(if (<=.f64 (.f64 (-.f64 1 y) z) -20000000000000000659772220681739349708541760230090157273695166283476051455572179757829577437172648825720234763258804796801176404423035231723648162334475581182265411854154116760902236415845219149874785960097287583308603847444296622450025442333641668526250689307834574586599814167487578112) (.f64 y (.f64 z x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 1999999999999999857547681040733515073753478641623153224463562961402940190709054988015492682882276552884948779539095127050864586233002245134357428718762445554209708921491609358759288994086416534767263294334755723897091779949617923739887142153550856217846978969600) (+.f64 x (.f64 (.f64 (-.f64 1 y) (neg.f64 z)) x)) (.f64 (.f64 x (+.f64 y -1)) z)))
(if (<=.f64 (.f64 (-.f64 1 y) z) -20000000000000000659772220681739349708541760230090157273695166283476051455572179757829577437172648825720234763258804796801176404423035231723648162334475581182265411854154116760902236415845219149874785960097287583308603847444296622450025442333641668526250689307834574586599814167487578112) (.f64 y (.f64 z x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 1999999999999999857547681040733515073753478641623153224463562961402940190709054988015492682882276552884948779539095127050864586233002245134357428718762445554209708921491609358759288994086416534767263294334755723897091779949617923739887142153550856217846978969600) (+.f64 x (.f64 x (.f64 (-.f64 1 y) (neg.f64 z)))) (.f64 z (.f64 x (-.f64 y 1)))))
(if (<=.f64 (.f64 (-.f64 1 y) z) -20000000000000000659772220681739349708541760230090157273695166283476051455572179757829577437172648825720234763258804796801176404423035231723648162334475581182265411854154116760902236415845219149874785960097287583308603847444296622450025442333641668526250689307834574586599814167487578112) (.f64 y (.f64 z x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 1999999999999999857547681040733515073753478641623153224463562961402940190709054988015492682882276552884948779539095127050864586233002245134357428718762445554209708921491609358759288994086416534767263294334755723897091779949617923739887142153550856217846978969600) (-.f64 x (.f64 (.f64 (-.f64 1 y) z) x)) (.f64 z (.f64 x (+.f64 y -1)))))
(if (<=.f64 (.f64 (-.f64 1 y) z) -20000000000000000659772220681739349708541760230090157273695166283476051455572179757829577437172648825720234763258804796801176404423035231723648162334475581182265411854154116760902236415845219149874785960097287583308603847444296622450025442333641668526250689307834574586599814167487578112) (.f64 y (.f64 z x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 1999999999999999857547681040733515073753478641623153224463562961402940190709054988015492682882276552884948779539095127050864586233002245134357428718762445554209708921491609358759288994086416534767263294334755723897091779949617923739887142153550856217846978969600) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (.f64 (.f64 x (+.f64 y -1)) z)))
(if (<=.f64 (.f64 (-.f64 1 y) z) -20000000000000000659772220681739349708541760230090157273695166283476051455572179757829577437172648825720234763258804796801176404423035231723648162334475581182265411854154116760902236415845219149874785960097287583308603847444296622450025442333641668526250689307834574586599814167487578112) (.f64 y (.f64 z x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 1999999999999999857547681040733515073753478641623153224463562961402940190709054988015492682882276552884948779539095127050864586233002245134357428718762445554209708921491609358759288994086416534767263294334755723897091779949617923739887142153550856217846978969600) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (.f64 z (.f64 x (-.f64 y 1)))))
(if (<=.f64 (.f64 (-.f64 1 y) z) -20000000000000000659772220681739349708541760230090157273695166283476051455572179757829577437172648825720234763258804796801176404423035231723648162334475581182265411854154116760902236415845219149874785960097287583308603847444296622450025442333641668526250689307834574586599814167487578112) (.f64 y (.f64 z x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 1999999999999999857547681040733515073753478641623153224463562961402940190709054988015492682882276552884948779539095127050864586233002245134357428718762445554209708921491609358759288994086416534767263294334755723897091779949617923739887142153550856217846978969600) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (.f64 z (.f64 x (+.f64 y -1)))))
(if (<=.f64 z -7307044962977429/70368744177664) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x) (if (<=.f64 z 7841235161725659/1237940039285380274899124224) (+.f64 x (.f64 (.f64 z y) x)) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)))
(if (<=.f64 z -7307044962977429/70368744177664) (+.f64 x (.f64 z (.f64 x (-.f64 y 1)))) (if (<=.f64 z 7841235161725659/1237940039285380274899124224) (+.f64 x (.f64 x (.f64 y z))) (+.f64 x (.f64 z (.f64 x (-.f64 y 1))))))
(if (<=.f64 z -7307044962977429/70368744177664) (+.f64 x (.f64 z (.f64 x (+.f64 y -1)))) (if (<=.f64 z 7841235161725659/1237940039285380274899124224) (+.f64 x (.f64 x (.f64 y z))) (+.f64 x (.f64 z (.f64 x (+.f64 y -1))))))
(if (<=.f64 z -7307044962977429/70368744177664) (.f64 (.f64 x (+.f64 y -1)) z) (if (<=.f64 z 4082816336307123/151115727451828646838272) (+.f64 x (.f64 (.f64 z y) x)) (.f64 z (-.f64 (.f64 y x) x))))
(if (<=.f64 z -7307044962977429/70368744177664) (.f64 z (.f64 x (-.f64 y 1))) (if (<=.f64 z 4082816336307123/151115727451828646838272) (+.f64 x (.f64 x (.f64 y z))) (.f64 z (-.f64 (.f64 y x) x))))
(if (<=.f64 z -7307044962977429/70368744177664) (.f64 z (.f64 x (+.f64 y -1))) (if (<=.f64 z 4082816336307123/151115727451828646838272) (+.f64 x (.f64 x (.f64 y z))) (.f64 z (-.f64 (.f64 y x) x))))
(if (<=.f64 z -7307044962977429/70368744177664) (.f64 (.f64 x (+.f64 y -1)) z) (if (<=.f64 z 4082816336307123/151115727451828646838272) (+.f64 x (.f64 (.f64 z y) x)) (.f64 (.f64 x (+.f64 y -1)) z)))
(if (<=.f64 z -7307044962977429/70368744177664) (.f64 z (.f64 x (-.f64 y 1))) (if (<=.f64 z 4082816336307123/151115727451828646838272) (+.f64 x (.f64 x (.f64 y z))) (.f64 z (.f64 x (-.f64 y 1)))))
(if (<=.f64 z -7307044962977429/70368744177664) (.f64 z (.f64 x (+.f64 y -1))) (if (<=.f64 z 4082816336307123/151115727451828646838272) (+.f64 x (.f64 x (.f64 y z))) (.f64 z (.f64 x (+.f64 y -1)))))
(if (<=.f64 z -7307044962977429/70368744177664) (.f64 (.f64 x (+.f64 y -1)) z) (if (<=.f64 z 4082816336307123/151115727451828646838272) (.f64 (+.f64 (.f64 y z) 1) x) (.f64 (.f64 x (+.f64 y -1)) z)))
(if (<=.f64 z -7307044962977429/70368744177664) (.f64 z (.f64 x (-.f64 y 1))) (if (<=.f64 z 4082816336307123/151115727451828646838272) (.f64 x (+.f64 1 (.f64 y z))) (.f64 z (.f64 x (-.f64 y 1)))))
(if (<=.f64 z -7307044962977429/70368744177664) (.f64 z (.f64 x (+.f64 y -1))) (if (<=.f64 z 4082816336307123/151115727451828646838272) (.f64 x (+.f64 1 (.f64 y z))) (.f64 z (.f64 x (+.f64 y -1)))))
(if (<=.f64 y -5110092123341517/8589934592) (.f64 (+.f64 (.f64 y z) 1) x) (if (<=.f64 y 5862558753361257/649037107316853453566312041152512) (.f64 (-.f64 1 z) x) (.f64 (+.f64 (*.f64 y z) 1) x)))
(if (<=.f64 y -5110092123341517/8589934592) (.f64 x (+.f64 1 (.f64 y z))) (if (<=.f64 y 5862558753361257/649037107316853453566312041152512) (.f64 x (-.f64 1 z)) (.f64 x (+.f64 1 (*.f64 y z)))))
(if (<=.f64 y -85000000000000005094283874391540577779960424156619040183931595220790567141097021973898767881309588684096894224937941899501522606114860220794901813526528) (.f64 y (.f64 z x)) (if (<=.f64 y -31183467535508772705204829743908501765913448638578688) (.f64 (-.f64 1 z) x) (if (<=.f64 y -1391240416899273/4) (.f64 x (.f64 y z)) (if (<=.f64 y 2986947941724879/137438953472) (.f64 (-.f64 1 z) x) (if (<=.f64 y 15500000000000001165204547206032233725807150497462327308985091086545371841257435672300387067015249549138122303102214158063501312) (.f64 y (.f64 z x)) (if (<=.f64 y 50000000000000003226559936361919779827105376205144584884917978916367904662510143278135754996687257850822691394447592090096097397546144525317852447661395664561828975608881910401466368) x (.f64 (.f64 y x) z)))))))
(if (<=.f64 y -85000000000000005094283874391540577779960424156619040183931595220790567141097021973898767881309588684096894224937941899501522606114860220794901813526528) (.f64 y (.f64 z x)) (if (<=.f64 y -31183467535508772705204829743908501765913448638578688) (.f64 x (-.f64 1 z)) (if (<=.f64 y -1391240416899273/4) (.f64 x (.f64 y z)) (if (<=.f64 y 2986947941724879/137438953472) (.f64 x (-.f64 1 z)) (if (<=.f64 y 15500000000000001165204547206032233725807150497462327308985091086545371841257435672300387067015249549138122303102214158063501312) (.f64 y (.f64 z x)) (if (<=.f64 y 50000000000000003226559936361919779827105376205144584884917978916367904662510143278135754996687257850822691394447592090096097397546144525317852447661395664561828975608881910401466368) x (.f64 z (.f64 y x))))))))
(if (<=.f64 y -85000000000000005094283874391540577779960424156619040183931595220790567141097021973898767881309588684096894224937941899501522606114860220794901813526528) (.f64 (.f64 y x) z) (if (<=.f64 y -31183467535508772705204829743908501765913448638578688) (.f64 (-.f64 1 z) x) (if (<=.f64 y -1391240416899273/4) (.f64 x (.f64 y z)) (if (<=.f64 y 2986947941724879/137438953472) (.f64 (-.f64 1 z) x) (if (<=.f64 y 4707145359702245044803663792794907996202766341542658078380252402990063207353155584) (.f64 (.f64 y x) z) (if (<=.f64 y 50000000000000003226559936361919779827105376205144584884917978916367904662510143278135754996687257850822691394447592090096097397546144525317852447661395664561828975608881910401466368) x (.f64 (.f64 y x) z)))))))
(if (<=.f64 y -85000000000000005094283874391540577779960424156619040183931595220790567141097021973898767881309588684096894224937941899501522606114860220794901813526528) (.f64 z (.f64 y x)) (if (<=.f64 y -31183467535508772705204829743908501765913448638578688) (.f64 x (-.f64 1 z)) (if (<=.f64 y -1391240416899273/4) (.f64 x (.f64 y z)) (if (<=.f64 y 2986947941724879/137438953472) (.f64 x (-.f64 1 z)) (if (<=.f64 y 4707145359702245044803663792794907996202766341542658078380252402990063207353155584) (.f64 z (.f64 y x)) (if (<=.f64 y 50000000000000003226559936361919779827105376205144584884917978916367904662510143278135754996687257850822691394447592090096097397546144525317852447661395664561828975608881910401466368) x (.f64 z (.f64 y x))))))))
(if (<=.f64 z -4599999999999999770096951917681887952009914474945880003083943784430240519915639368705127701481609232384) (.f64 z (neg.f64 x)) (if (<=.f64 z -8463354397453751/39614081257132168796771975168) (.f64 (.f64 y x) z) (if (<=.f64 z -2742637054892795/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) x (if (<=.f64 z -3872860948584133/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (.f64 x (.f64 y z)) (if (<=.f64 z 4082816336307123/151115727451828646838272) x (.f64 z (neg.f64 x)))))))
(if (<=.f64 z -4599999999999999770096951917681887952009914474945880003083943784430240519915639368705127701481609232384) (.f64 z (neg.f64 x)) (if (<=.f64 z -8463354397453751/39614081257132168796771975168) (.f64 z (.f64 y x)) (if (<=.f64 z -2742637054892795/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) x (if (<=.f64 z -3872860948584133/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (.f64 x (.f64 y z)) (if (<=.f64 z 4082816336307123/151115727451828646838272) x (.f64 z (neg.f64 x)))))))
(if (<=.f64 z -4599999999999999770096951917681887952009914474945880003083943784430240519915639368705127701481609232384) (.f64 z (neg.f64 x)) (if (<=.f64 z -8463354397453751/39614081257132168796771975168) (.f64 x (.f64 y z)) (if (<=.f64 z -2742637054892795/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392) x (if (<=.f64 z -3872860948584133/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (.f64 x (.f64 y z)) (if (<=.f64 z 4082816336307123/151115727451828646838272) x (.f64 z (neg.f64 x)))))))
(if (<=.f64 z -7054109040193275/4951760157141521099596496896) (.f64 z (neg.f64 x)) (if (<=.f64 z 4082816336307123/151115727451828646838272) x (.f64 z (neg.f64 x))))
x

Compiler

Compiled 507 to 302 computations (40.4% saved)

soundness412.0ms (3.2%)

Algorithm

3×	egg-herbie

Rules

788×	`fma-def_binary64`
710×	`fma-def_binary64`
710×	`fma-def_binary64`
419×	`fma-neg_binary64`
419×	`fma-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
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
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
1×	saturated
1×	saturated

Compiler

Compiled 428 to 288 computations (32.7% saved)

end169.0ms (1.3%)

Compiler: Compiled 468 to 232 computations (50.4% 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	114	675
1	158	675
2	183	673
3	208	673
4	241	673
5	306	673
6	381	673
7	463	673
8	576	673
9	713	673
10	826	673
11	904	673
12	955	673
13	967	673

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	114	675
1	158	675
2	183	673
3	208	673
4	241	673
5	306	673
6	381	673
7	463	673
8	576	673
9	713	673
10	826	673
11	904	673
12	955	673
13	967	673

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	114	675
1	158	675
2	183	673
3	208	673
4	241	673
5	306	673
6	381	673
7	463	673
8	576	673
9	713	673
10	826	673
11	904	673
12	955	673
13	967	673