Details

analyze189.0ms (2.5%)

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)

sample954.0ms (12.7%)

Results

834.0ms	8256×	body	256	valid
106.0ms	1030×	body	256	invalid

preprocess253.0ms (3.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 12 computations (20% saved)

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

3.6b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 20 computations (35.5% saved)

series8.0ms (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	y	@	inf	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
1.0ms	z	@	-inf	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite70.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

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

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

Outputs

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

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

simplify84.0ms (1.1%)

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series7.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite50.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify68.0ms (0.9%)

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))

eval32.0ms (0.4%)

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

prune27.0ms (0.4%)

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
	4.8b	(pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))) 3)
	17.4b	(.f64 x (-.f64 1 (.f64 y (neg.f64 z))))
▶	3.6b	(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
	19.8b	(*.f64 (-.f64 1 z) x)
	32.9b	x
▶	44.3b	(.f64 y (.f64 z x))
▶	19.8b	(-.f64 x (*.f64 z x))
▶	33.3b	(.f64 z (-.f64 (.f64 y x) x))
	33.3b	(.f64 z (.f64 (-.f64 y 1) x))
▶	3.8b	(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)

Compiler

Compiled 192 to 133 computations (30.7% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 14 computations (54.8% saved)

series7.0ms (0.1%)

Counts

2 → 39

Calls

15 calls:

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

rewrite74.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

797×	`prod-diff_binary64`
472×	`log-prod_binary64`
423×	`fma-def_binary64`
368×	`pow-prod-down_binary64`
258×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	195	19
2	2694	19

Stop Event

1×	node limit

Counts

2 → 171

Calls

Call 1

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

Outputs

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

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

simplify77.0ms (1%)

Algorithm

1×	egg-herbie

Rules

987×	`fma-def_binary64`
588×	`fma-neg_binary64`
151×	`cancel-sign-sub-inv_binary64`
128×	`distribute-rgt-in_binary64`
109×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	411
1	63	375
2	166	339
3	440	339
4	945	339
5	1730	339
6	2788	339
7	3077	339
8	3093	339
9	3093	339

Stop Event

1×

saturated

Counts

210 → 192

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series5.0ms (0.1%)

Counts

1 → 0

Calls

9 calls:

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

rewrite47.0ms (0.6%)

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))))))))

simplify8.0ms (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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite55.0ms (0.7%)

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)))))))

simplify24.0ms (0.3%)

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)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 y x) x)
✓	3.7b	(.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
5.0ms	x	@	0	(.f64 z (-.f64 (.f64 y x) x))
1.0ms	x	@	-inf	(.f64 z (-.f64 (.f64 y x) x))
1.0ms	z	@	0	(.f64 z (-.f64 (.f64 y x) x))
1.0ms	x	@	inf	(.f64 z (-.f64 (.f64 y x) x))
1.0ms	y	@	inf	(.f64 z (-.f64 (.f64 y x) x))

rewrite63.0ms (0.8%)

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))))))

simplify118.0ms (1.6%)

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)

localize13.0ms (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)
✓	3.7b	(.f64 z (.f64 (-.f64 y 1) x))

Compiler

Compiled 31 to 18 computations (41.9% saved)

series10.0ms (0.1%)

Counts

3 → 51

Calls

24 calls:

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

rewrite94.0ms (1.2%)

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 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simplify208.0ms (2.8%)

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)

eval131.0ms (1.7%)

Compiler: Compiled 6539 to 3519 computations (46.2% saved)

prune126.0ms (1.7%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	464	10	474
Fresh	5	0	5
Picked	1	0	1
Done	1	3	4
Total	471	13	484

Error

Counts

484 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	49.6b	(*.f64 z (neg.f64 x))
▶	44.7b	(pow.f64 (cbrt.f64 (.f64 y (.f64 z x))) 3)
✓	19.8b	(-.f64 x (*.f64 z x))
	46.1b	(.f64 (.f64 y x) z)
	32.9b	x
▶	17.7b	(+.f64 (.f64 z (.f64 y x)) x)
	43.0b	(.f64 z (/.f64 1 (/.f64 (fma.f64 y x x) (-.f64 (pow.f64 (.f64 y x) 2) (*.f64 x x)))))
✓	3.6b	(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
	34.0b	(.f64 (-.f64 (.f64 z y) z) x)
	19.8b	(*.f64 (-.f64 1 z) x)
▶	46.8b	(.f64 (.f64 z y) x)
✓	44.3b	(.f64 y (.f64 z x))
▶	33.3b	(.f64 z (.f64 (-.f64 y 1) x))

Compiler

Compiled 218 to 143 computations (34.4% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.9b	(.f64 z (.f64 y x))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite87.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

47 → 12

Calls

Call 1

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

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

localize5.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite50.0ms (0.7%)

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

47 → 12

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 y 1) x)
	3.7b	(.f64 z (.f64 (-.f64 y 1) x))

Compiler

Compiled 22 to 13 computations (40.9% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.6b	(pow.f64 (cbrt.f64 (.f64 y (.f64 z x))) 3)
	2.8b	(.f64 y (.f64 z x))
✓	12.6b	(cbrt.f64 (.f64 y (.f64 z x)))

Compiler

Compiled 29 to 9 computations (69% saved)

series14.0ms (0.2%)

Counts

2 → 0

Calls

18 calls:

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

rewrite70.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

759×	`pow1_binary64`
707×	`add-log-exp_binary64`
707×	`log1p-expm1-u_binary64`
707×	`expm1-log1p-u_binary64`
689×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	188	16
2	1979	16

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

Inputs
(cbrt.f64 (.f64 y (.f64 z x)))
(pow.f64 (cbrt.f64 (.f64 y (.f64 z x))) 3)

Outputs

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

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

63 → 63

Calls

Call 1

Inputs

Outputs

eval36.0ms (0.5%)

Compiler: Compiled 1821 to 877 computations (51.8% saved)

prune32.0ms (0.4%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	165	1	166
Fresh	1	4	5
Picked	0	1	1
Done	0	7	7
Total	166	13	179

Error

Counts

179 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	49.6b	(*.f64 z (neg.f64 x))
✓	44.7b	(pow.f64 (cbrt.f64 (.f64 y (.f64 z x))) 3)
✓	19.8b	(-.f64 x (*.f64 z x))
▶	46.1b	(.f64 (.f64 y x) z)
	32.9b	x
✓	17.7b	(+.f64 (.f64 z (.f64 y x)) x)
✓	3.6b	(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
▶	34.0b	(.f64 (-.f64 (.f64 z y) z) x)
▶	53.4b	(.f64 (.f64 y (sqrt.f64 (.f64 z x))) (sqrt.f64 (.f64 z x)))
▶	19.8b	(*.f64 (-.f64 1 z) x)
✓	46.8b	(.f64 (.f64 z y) x)
✓	44.3b	(.f64 y (.f64 z x))
✓	33.3b	(.f64 z (.f64 (-.f64 y 1) x))

Compiler

Compiled 118 to 76 computations (35.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.9b	(.f64 (.f64 y x) z)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite49.0ms (0.6%)

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))))))))

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

47 → 12

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 y (sqrt.f64 (.f64 z x)))
✓	0.1b	(.f64 (.f64 y (sqrt.f64 (.f64 z x))) (sqrt.f64 (.f64 z x)))
✓	8.3b	(sqrt.f64 (*.f64 z x))

Compiler

Compiled 30 to 7 computations (76.7% saved)

series15.0ms (0.2%)

Counts

3 → 36

Calls

24 calls:

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

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`pow1_binary64`
685×	`add-log-exp_binary64`
685×	`log1p-expm1-u_binary64`
685×	`expm1-log1p-u_binary64`
668×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	159	22
2	1915	22

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

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

Outputs

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

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

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

simplify85.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

786×	`fma-def_binary64`
450×	`distribute-rgt-neg-in_binary64`
423×	`cube-prod_binary64`
417×	`fma-neg_binary64`
335×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	252
1	28	252
2	93	252
3	298	252
4	1124	252
5	2462	252
6	3921	252
7	4833	252
8	5510	252
9	6913	252

Stop Event

1×

unsound

Counts

85 → 52

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 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (.f64 z x))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (.f64 z x))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (.f64 z x))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (.f64 z x))))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 y (.f64 z x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (.f64 z x))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (.f64 z x))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (.f64 z x))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (.f64 z x))))

Outputs
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (.f64 z x))))
(.f64 (.f64 y z) x)
(.f64 y (.f64 z x))
(.f64 z (.f64 y x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (.f64 z x))))
(.f64 (.f64 y z) x)
(.f64 y (.f64 z x))
(.f64 z (.f64 y x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (.f64 z x))))
(.f64 (.f64 y z) x)
(.f64 y (.f64 z x))
(.f64 z (.f64 y x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (.f64 z x))))
(.f64 (.f64 y z) x)
(.f64 y (.f64 z x))
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 y (.f64 z x))
(.f64 (.f64 y z) x)
(.f64 z (.f64 y x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (.f64 z x))))
(.f64 (.f64 y z) x)
(.f64 y (.f64 z x))
(.f64 z (.f64 y x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (.f64 z x))))
(.f64 (.f64 y z) x)
(.f64 y (.f64 z x))
(.f64 z (.f64 y x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (.f64 z x))))
(.f64 (.f64 y z) x)
(.f64 y (.f64 z x))
(.f64 z (.f64 y x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (.f64 z x))))
(.f64 (.f64 y z) x)
(.f64 y (.f64 z x))
(.f64 z (.f64 y x))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite173.0ms (2.3%)

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)))))))

simplify40.0ms (0.5%)

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))

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series10.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite104.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	150	17
2	2060	17

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

423×	`fma-def_binary64`
226×	`fma-neg_binary64`
82×	`associate-l_binary64`
78×	`distribute-rgt-in_binary64`
75×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	508
1	66	508
2	151	508
3	365	508
4	749	508
5	1158	508
6	1537	508
7	1605	508

Stop Event

1×

saturated

Counts

117 → 74

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

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

eval34.0ms (0.4%)

Compiler: Compiled 2105 to 746 computations (64.6% saved)

prune49.0ms (0.7%)

Pruning

13 alts after pruning (1 fresh and 12 done)

	Pruned	Kept	Total
New	181	1	182
Fresh	1	0	1
Picked	0	1	1
Done	0	11	11
Total	182	13	195

Error

Counts

195 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.0b	(.f64 (-.f64 (.f64 z y) z) x)
	32.9b	x
✓	49.6b	(*.f64 z (neg.f64 x))
✓	44.7b	(pow.f64 (cbrt.f64 (.f64 y (.f64 z x))) 3)
✓	19.8b	(-.f64 x (*.f64 z x))
✓	46.1b	(.f64 (.f64 y x) z)
✓	3.6b	(.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x)
✓	53.4b	(.f64 (.f64 y (sqrt.f64 (.f64 z x))) (sqrt.f64 (.f64 z x)))
✓	19.8b	(*.f64 (-.f64 1 z) x)
✓	46.8b	(.f64 (.f64 z y) x)
✓	44.3b	(.f64 y (.f64 z x))
✓	33.3b	(.f64 z (.f64 (-.f64 y 1) x))
✓	17.7b	(+.f64 (.f64 z (.f64 y x)) x)

Compiler

Compiled 118 to 76 computations (35.6% saved)

regimes477.0ms (6.3%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

11 calls:

73.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))
71.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
63.0ms	(*.f64 (-.f64 1 y) z)
62.0ms	x
44.0ms	y

Results

Error	Segments	Branch
0.1b	3	`x`
2.3b	3	`y`
0.1b	3	`z`
0.1b	3	`(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))`
0.1b	3	`(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))`
0.1b	3	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
0.1b	3	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
0.1b	3	`(*.f64 (-.f64 1 y) z)`
0.1b	3	`(*.f64 (-.f64 1 y) z)`
3.6b	1	`(-.f64 1 y)`
3.6b	1	`(-.f64 1 y)`

Compiler

Compiled 251 to 144 computations (42.6% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.8489980278017026e+264	9.555018629310291e+264
0.0ms	-inf	-1.946237291657571e+290

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes475.0ms (6.3%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

10 calls:

124.0ms	(*.f64 (-.f64 1 y) z)
113.0ms	x
69.0ms	y
39.0ms	(*.f64 (-.f64 1 y) z)
37.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

Results

Error	Segments	Branch
0.1b	3	`x`
2.3b	3	`y`
0.1b	3	`z`
0.1b	3	`(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))`
0.1b	3	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
0.1b	3	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
0.1b	3	`(*.f64 (-.f64 1 y) z)`
0.1b	3	`(*.f64 (-.f64 1 y) z)`
3.6b	1	`(-.f64 1 y)`
3.6b	1	`(-.f64 1 y)`

Compiler

Compiled 190 to 112 computations (41.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.8489980278017026e+264	9.555018629310291e+264
0.0ms	-inf	-1.946237291657571e+290

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes101.0ms (1.3%)

Counts

16 → 3

Calls

Call 1

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

Calls

3 calls:

39.0ms	x
32.0ms	y
26.0ms	z

Results

Error	Segments	Branch
11.3b	5	`x`
4.5b	3	`y`
1.3b	3	`z`

Compiler

Compiled 95 to 46 computations (51.6% saved)

bsearch39.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	8.719874522640064e-7	117.11384621714323
20.0ms	-1.0015198227675867e-6	-9.496323487618887e-13

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes191.0ms (2.5%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

100.0ms	x
63.0ms	y
24.0ms	z

Results

Error	Segments	Branch
11.3b	5	`x`
4.8b	3	`y`
5.1b	3	`z`

Compiler

Compiled 87 to 41 computations (52.9% saved)

bsearch70.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	1.523319980130822e-5	5.461995343755676e-5
49.0ms	-489035.029403948	-4.461634258529846

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes167.0ms (2.2%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

89.0ms	z
51.0ms	x
24.0ms	y

Results

Error	Segments	Branch
16.9b	5	`x`
8.7b	3	`y`
15.8b	7	`z`

Compiler

Compiled 52 to 27 computations (48.1% saved)

bsearch107.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	1.9304882876218297e+76	1.2380878259396048e+77
73.0ms	-1.6455777946518423e+46	-3.739855263392124e+44

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes265.0ms (3.5%)

Counts

8 → 6

Calls

Call 1

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

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

Calls

3 calls:

104.0ms	y
98.0ms	z
59.0ms	x

Results

Error	Segments	Branch
16.9b	5	`x`
9.4b	6	`y`
15.8b	7	`z`

Compiler

Compiled 42 to 24 computations (42.9% saved)

bsearch102.0ms (1.4%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
19.0ms	1.9304882876218297e+76	1.2380878259396048e+77
20.0ms	-1.6455777946518423e+46	-3.739855263392124e+44
45.0ms	-2.2759977197894507e+67	-6.3458025353101385e+65
12.0ms	-7.007876760526057e+115	-3.0171633816667504e+115
6.0ms	-7.776447363062379e+238	-6.659528435272359e+229

Compiler

Compiled 54 to 38 computations (29.6% saved)

regimes106.0ms (1.4%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	x
38.0ms	z
20.0ms	y

Results

Error	Segments	Branch
16.9b	5	`x`
10.4b	3	`y`
15.8b	7	`z`

Compiler

Compiled 32 to 19 computations (40.6% saved)

bsearch302.0ms (4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
281.0ms	1.9304882876218297e+76	1.2380878259396048e+77
21.0ms	-1.6455777946518423e+46	-3.739855263392124e+44

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes83.0ms (1.1%)

Counts

5 → 6

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	x
26.0ms	y
25.0ms	z

Results

Error	Segments	Branch
26.4b	7	`x`
22.1b	5	`y`
17.3b	6	`z`

Compiler

Compiled 27 to 16 computations (40.7% saved)

bsearch250.0ms (3.3%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
33.0ms	7.279237392142543e+251	1.2151061411514124e+256
75.0ms	1.5974470247214644e+149	2.5616515757259252e+154
99.0ms	1.047868359905201e+96	1.370541947820116e+101
19.0ms	4.682236597379262e-45	1.2312759409307142e-41
23.0ms	-9.496323487618887e-13	-3.0988904555575194e-20

Compiler

Compiled 460 to 326 computations (29.1% saved)

regimes139.0ms (1.9%)

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:

115.0ms	y
12.0ms	x
11.0ms	z

Results

Error	Segments	Branch
31.8b	3	`x`
31.6b	3	`y`
20.9b	3	`z`

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch37.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	8.719874522640064e-7	117.11384621714323
18.0ms	-9.496323487618887e-13	-3.0988904555575194e-20

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes13.0ms (0.2%)

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:

5.0ms	z
4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
32.9b	1	`x`
32.9b	1	`y`
32.9b	1	`z`

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

111×	`distribute-rgt-neg-in_binary64`
82×	`cancel-sign-sub-inv_binary64`
70×	`distribute-lft-neg-in_binary64`
69×	`distribute-lft-neg-out_binary64`
61×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	89	416
1	126	414
2	155	414
3	190	414
4	241	414
5	325	414
6	439	414
7	543	414
8	631	414
9	700	414
10	755	414
11	800	414
12	813	414

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (-.f64 1 y) z) -inf.0) (.f64 y (.f64 z x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 2000000000000000088281037805790575558572782794765162549126012346566888792166047218548967335383701664797639397755095222062794225936857411749371199466668068384943561307143740090430395479270498413381628926367543716105666065019831099205147950020333146087680957122347008) (fma.f64 x (fma.f64 y z (neg.f64 z)) x) (.f64 z (.f64 (-.f64 y 1) x))))
(if (<=.f64 (.f64 (-.f64 1 y) z) -inf.0) (.f64 y (.f64 z x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 2000000000000000088281037805790575558572782794765162549126012346566888792166047218548967335383701664797639397755095222062794225936857411749371199466668068384943561307143740090430395479270498413381628926367543716105666065019831099205147950020333146087680957122347008) (.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x) (.f64 z (.f64 (-.f64 y 1) x))))
(if (<=.f64 z -4729543642967199/4722366482869645213696) (.f64 z (.f64 (-.f64 y 1) x)) (if (<=.f64 z 8235688636108877/9444732965739290427392) (.f64 x (-.f64 1 (.f64 y (neg.f64 z)))) (.f64 z (-.f64 (.f64 y x) x))))
(if (<=.f64 y -2100389457888355/4294967296) (+.f64 (.f64 z (.f64 y x)) x) (if (<=.f64 y 4496047010534655/295147905179352825856) (.f64 (-.f64 1 z) x) (+.f64 (.f64 z (*.f64 y x)) x)))
(if (<=.f64 y -16455777946518423050240341180782221729502068736) (.f64 y (.f64 z x)) (if (<=.f64 y 19304882876218296676335986216575230512404056433943543596526093569721253232640) (.f64 (-.f64 1 z) x) (.f64 y (*.f64 z x))))
(if (<=.f64 y -10000000000000000531660196626596490356033894575245100973356972987043891522292165594595004291349304909025721681812512093962950445138053653873169216309020403876699170397334223513449750683762833231235463783529148067211236930570359138156544) (.f64 (.f64 z y) x) (if (<=.f64 y -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392000) (.f64 (.f64 y x) z) (if (<=.f64 y -22759977197894507218368742708859865449527442382148130764794233880576) (.f64 (.f64 z y) x) (if (<=.f64 y -16455777946518423050240341180782221729502068736) (.f64 (.f64 y x) z) (if (<=.f64 y 19304882876218296676335986216575230512404056433943543596526093569721253232640) (.f64 (-.f64 1 z) x) (.f64 (*.f64 y x) z))))))
(if (<=.f64 y -16455777946518423050240341180782221729502068736) (.f64 (.f64 y x) z) (if (<=.f64 y 19304882876218296676335986216575230512404056433943543596526093569721253232640) (.f64 (-.f64 1 z) x) (.f64 (*.f64 y x) z)))
(if (<=.f64 z -75237626056509472/79228162514264337593543950336) (.f64 z (neg.f64 x)) (if (<=.f64 z 7524064120550501/1606938044258990275541962092341162602522202993782792835301376) x (if (<=.f64 z 135000000000000003118224745930453471782601869025020752083251341555665584050206349190433987411671252992) (.f64 (.f64 y x) z) (if (<=.f64 z 25499999999999999528024993055952010542249007939197233513958453954737868247668078447050309476321791611551296703204050146631997321389936393151246862110425088) (.f64 z (neg.f64 x)) (if (<=.f64 z 749999999999999972618195342729545985016632000743469009626014457803827542375735938982059071644900192864667118894540542726769083605834977908715053634928195608552191149123862320390296944505783752754974549874536872321994879903915477929790320009391510650880) (.f64 (.f64 y x) z) (*.f64 z (neg.f64 x)))))))
(if (<=.f64 z -75237626056509472/79228162514264337593543950336) (.f64 z (neg.f64 x)) (if (<=.f64 z 8235688636108877/9444732965739290427392) x (.f64 z (neg.f64 x))))
x

Outputs
(if (<=.f64 (.f64 (-.f64 1 y) z) -inf.0) (.f64 y (.f64 z x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 2000000000000000088281037805790575558572782794765162549126012346566888792166047218548967335383701664797639397755095222062794225936857411749371199466668068384943561307143740090430395479270498413381628926367543716105666065019831099205147950020333146087680957122347008) (fma.f64 x (fma.f64 y z (neg.f64 z)) x) (.f64 z (.f64 (-.f64 y 1) x))))
(if (<=.f64 (.f64 (-.f64 1 y) z) -inf.0) (.f64 y (.f64 z x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 2000000000000000088281037805790575558572782794765162549126012346566888792166047218548967335383701664797639397755095222062794225936857411749371199466668068384943561307143740090430395479270498413381628926367543716105666065019831099205147950020333146087680957122347008) (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) -inf.0) (.f64 y (.f64 z x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 2000000000000000088281037805790575558572782794765162549126012346566888792166047218548967335383701664797639397755095222062794225936857411749371199466668068384943561307143740090430395479270498413381628926367543716105666065019831099205147950020333146087680957122347008) (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) -inf.0) (.f64 y (.f64 z x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 2000000000000000088281037805790575558572782794765162549126012346566888792166047218548967335383701664797639397755095222062794225936857411749371199466668068384943561307143740090430395479270498413381628926367543716105666065019831099205147950020333146087680957122347008) (.f64 (-.f64 (+.f64 (.f64 y z) 1) z) x) (.f64 z (.f64 (-.f64 y 1) x))))
(if (<=.f64 (.f64 (-.f64 1 y) z) -inf.0) (.f64 y (.f64 z x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 2000000000000000088281037805790575558572782794765162549126012346566888792166047218548967335383701664797639397755095222062794225936857411749371199466668068384943561307143740090430395479270498413381628926367543716105666065019831099205147950020333146087680957122347008) (.f64 x (-.f64 (+.f64 1 (.f64 y z)) z)) (.f64 z (.f64 x (-.f64 y 1)))))
(if (<=.f64 (.f64 (-.f64 1 y) z) -inf.0) (.f64 y (.f64 z x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 2000000000000000088281037805790575558572782794765162549126012346566888792166047218548967335383701664797639397755095222062794225936857411749371199466668068384943561307143740090430395479270498413381628926367543716105666065019831099205147950020333146087680957122347008) (.f64 x (-.f64 (+.f64 1 (.f64 y z)) z)) (.f64 z (.f64 x (+.f64 y -1)))))
(if (<=.f64 z -4729543642967199/4722366482869645213696) (.f64 z (.f64 (-.f64 y 1) x)) (if (<=.f64 z 8235688636108877/9444732965739290427392) (.f64 x (-.f64 1 (.f64 y (neg.f64 z)))) (.f64 z (-.f64 (.f64 y x) x))))
(if (<=.f64 z -4729543642967199/4722366482869645213696) (.f64 z (.f64 x (-.f64 y 1))) (if (<=.f64 z 8235688636108877/9444732965739290427392) (.f64 x (-.f64 1 (.f64 y (neg.f64 z)))) (.f64 z (-.f64 (.f64 y x) x))))
(if (<=.f64 z -4729543642967199/4722366482869645213696) (.f64 z (.f64 x (-.f64 y 1))) (if (<=.f64 z 8235688636108877/9444732965739290427392) (.f64 x (+.f64 1 (.f64 y z))) (.f64 z (-.f64 (.f64 y x) x))))
(if (<=.f64 z -4729543642967199/4722366482869645213696) (.f64 z (.f64 x (+.f64 y -1))) (if (<=.f64 z 8235688636108877/9444732965739290427392) (.f64 x (+.f64 1 (.f64 y z))) (.f64 z (-.f64 (.f64 y x) x))))
(if (<=.f64 y -2100389457888355/4294967296) (+.f64 (.f64 z (.f64 y x)) x) (if (<=.f64 y 4496047010534655/295147905179352825856) (.f64 (-.f64 1 z) x) (+.f64 (.f64 z (*.f64 y x)) x)))
(if (<=.f64 y -2100389457888355/4294967296) (+.f64 x (.f64 z (.f64 y x))) (if (<=.f64 y 4496047010534655/295147905179352825856) (.f64 x (-.f64 1 z)) (+.f64 x (.f64 z (*.f64 y x)))))
(if (<=.f64 y -16455777946518423050240341180782221729502068736) (.f64 y (.f64 z x)) (if (<=.f64 y 19304882876218296676335986216575230512404056433943543596526093569721253232640) (.f64 (-.f64 1 z) x) (.f64 y (*.f64 z x))))
(if (<=.f64 y -16455777946518423050240341180782221729502068736) (.f64 y (.f64 z x)) (if (<=.f64 y 19304882876218296676335986216575230512404056433943543596526093569721253232640) (.f64 x (-.f64 1 z)) (.f64 y (*.f64 z x))))
(if (<=.f64 y -10000000000000000531660196626596490356033894575245100973356972987043891522292165594595004291349304909025721681812512093962950445138053653873169216309020403876699170397334223513449750683762833231235463783529148067211236930570359138156544) (.f64 (.f64 z y) x) (if (<=.f64 y -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392000) (.f64 (.f64 y x) z) (if (<=.f64 y -22759977197894507218368742708859865449527442382148130764794233880576) (.f64 (.f64 z y) x) (if (<=.f64 y -16455777946518423050240341180782221729502068736) (.f64 (.f64 y x) z) (if (<=.f64 y 19304882876218296676335986216575230512404056433943543596526093569721253232640) (.f64 (-.f64 1 z) x) (.f64 (*.f64 y x) z))))))
(if (<=.f64 y -10000000000000000531660196626596490356033894575245100973356972987043891522292165594595004291349304909025721681812512093962950445138053653873169216309020403876699170397334223513449750683762833231235463783529148067211236930570359138156544) (.f64 x (.f64 y z)) (if (<=.f64 y -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392000) (.f64 z (.f64 y x)) (if (<=.f64 y -22759977197894507218368742708859865449527442382148130764794233880576) (.f64 x (.f64 y z)) (if (<=.f64 y -16455777946518423050240341180782221729502068736) (.f64 z (.f64 y x)) (if (<=.f64 y 19304882876218296676335986216575230512404056433943543596526093569721253232640) (.f64 x (-.f64 1 z)) (.f64 z (*.f64 y x)))))))
(if (<=.f64 y -16455777946518423050240341180782221729502068736) (.f64 (.f64 y x) z) (if (<=.f64 y 19304882876218296676335986216575230512404056433943543596526093569721253232640) (.f64 (-.f64 1 z) x) (.f64 (*.f64 y x) z)))
(if (<=.f64 y -16455777946518423050240341180782221729502068736) (.f64 z (.f64 y x)) (if (<=.f64 y 19304882876218296676335986216575230512404056433943543596526093569721253232640) (.f64 x (-.f64 1 z)) (.f64 z (*.f64 y x))))
(if (<=.f64 z -75237626056509472/79228162514264337593543950336) (.f64 z (neg.f64 x)) (if (<=.f64 z 7524064120550501/1606938044258990275541962092341162602522202993782792835301376) x (if (<=.f64 z 135000000000000003118224745930453471782601869025020752083251341555665584050206349190433987411671252992) (.f64 (.f64 y x) z) (if (<=.f64 z 25499999999999999528024993055952010542249007939197233513958453954737868247668078447050309476321791611551296703204050146631997321389936393151246862110425088) (.f64 z (neg.f64 x)) (if (<=.f64 z 749999999999999972618195342729545985016632000743469009626014457803827542375735938982059071644900192864667118894540542726769083605834977908715053634928195608552191149123862320390296944505783752754974549874536872321994879903915477929790320009391510650880) (.f64 (.f64 y x) z) (*.f64 z (neg.f64 x)))))))
(if (<=.f64 z -2351175814265921/2475880078570760549798248448) (.f64 z (neg.f64 x)) (if (<=.f64 z 7524064120550501/1606938044258990275541962092341162602522202993782792835301376) x (if (<=.f64 z 135000000000000003118224745930453471782601869025020752083251341555665584050206349190433987411671252992) (.f64 z (.f64 y x)) (if (<=.f64 z 25499999999999999528024993055952010542249007939197233513958453954737868247668078447050309476321791611551296703204050146631997321389936393151246862110425088) (.f64 z (neg.f64 x)) (if (<=.f64 z 749999999999999972618195342729545985016632000743469009626014457803827542375735938982059071644900192864667118894540542726769083605834977908715053634928195608552191149123862320390296944505783752754974549874536872321994879903915477929790320009391510650880) (.f64 z (.f64 y x)) (*.f64 z (neg.f64 x)))))))
(if (<=.f64 z -75237626056509472/79228162514264337593543950336) (.f64 z (neg.f64 x)) (if (<=.f64 z 8235688636108877/9444732965739290427392) x (.f64 z (neg.f64 x))))
(if (<=.f64 z -2351175814265921/2475880078570760549798248448) (.f64 z (neg.f64 x)) (if (<=.f64 z 8235688636108877/9444732965739290427392) x (.f64 z (neg.f64 x))))
x

Compiler

Compiled 316 to 174 computations (44.9% saved)

soundness418.0ms (5.6%)

Algorithm

3×	egg-herbie

Rules

710×	`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	9	13
1	20	13
2	49	11
3	161	11
4	493	11
5	1149	11
6	1895	11
7	2598	11
8	2708	11
9	2708	11

Stop Event

1×	saturated
1×	saturated
1×	saturated

Compiler

Compiled 579 to 390 computations (32.6% saved)

end103.0ms (1.4%)

Compiler: Compiled 289 to 132 computations (54.3% 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	89	416
1	126	414
2	155	414
3	190	414
4	241	414
5	325	414
6	439	414
7	543	414
8	631	414
9	700	414
10	755	414
11	800	414
12	813	414

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	89	416
1	126	414
2	155	414
3	190	414
4	241	414
5	325	414
6	439	414
7	543	414
8	631	414
9	700	414
10	755	414
11	800	414
12	813	414

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	89	416
1	126	414
2	155	414
3	190	414
4	241	414
5	325	414
6	439	414
7	543	414
8	631	414
9	700	414
10	755	414
11	800	414
12	813	414