Details

analyze555.0ms (15.3%)

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
53.2%	32.7%	14.1%	13
58%	27.7%	14.2%	14

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample963.0ms (26.6%)

Results

875.0ms	8256×	body	128	valid
71.0ms	669×	body	128	invalid

preprocess109.0ms (3%)

Algorithm

2×	egg-herbie

Rules

2243×	`fma-neg_binary64`
413×	`unsub-neg_binary64`
262×	`associate--r+_binary64`
234×	`distribute-rgt-in_binary64`
215×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	55	52
2	144	44
3	494	44
4	1584	44
5	2961	44
6	3611	44
7	3718	44
8	3756	44
9	3772	44
10	3960	44
11	4041	44
12	4087	44
13	4154	44
14	4204	44
15	4204	44
0	3	3

Stop Event

1×	saturated
1×	node limit

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

Compiler

Compiled 12 to 9 computations (25% saved)

simplify30.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

710×	`fma-def_binary64`
419×	`fma-neg_binary64`
208×	`distribute-rgt-in_binary64`
163×	`distribute-lft-in_binary64`
138×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	20	13
2	49	11
3	153	11
4	470	11
5	1119	11
6	1863	11
7	2564	11
8	2672	11
9	2672	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 z (fma.f64 x y (neg.f64 x)) x)
(fma.f64 z (-.f64 (*.f64 x y) x) x)

prune4.0ms (0.1%)

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

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	3.6b	(fma.f64 z (-.f64 (*.f64 x y) x) x)
▶	2.6b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

Compiler

Compiled 66 to 42 computations (36.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 y) z)
✓	2.5b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

series9.0ms (0.2%)

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)))

rewrite48.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`prod-diff_binary64`
479×	`log-prod_binary64`
199×	`fma-def_binary64`
175×	`expm1-udef_binary64`
173×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	193	20
2	2558	20

Stop Event

1×	node limit

Counts

2 → 69

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

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

simplify55.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

788×	`fma-def_binary64`
408×	`fma-neg_binary64`
141×	`distribute-rgt-in_binary64`
124×	`unsub-neg_binary64`
105×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	613
1	68	592
2	170	532
3	408	532
4	901	532
5	1554	532
6	2389	532
7	2552	532
8	2554	532
9	2554	532

Stop Event

1×

saturated

Counts

129 → 88

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

prune82.0ms (2.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	83	5	88
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	84	6	90

Error

0.0b

Counts

90 → 6

Alt Table

Status	Error	Program
	3.8b	(pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))) 3)
	19.1b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 (-.f64 1 y) z) 2)) x) (fma.f64 (-.f64 1 y) z 1))
✓	2.6b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
	3.6b	(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
▶	3.0b	(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
	15.6b	(.f64 x (-.f64 1 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))))

Compiler

Compiled 1302 to 840 computations (35.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 z) x)
✓	0.0b	(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
✓	4.2b	(.f64 y (.f64 z x))

series12.0ms (0.3%)

Counts

3 → 39

Calls

24 calls:

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

rewrite60.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

569×	`log-prod_binary64`
473×	`fma-def_binary64`
204×	`fma-neg_binary64`
194×	`expm1-udef_binary64`
193×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	214	27
2	2953	25

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

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

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

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

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

simplify47.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

670×	`fma-def_binary64`
492×	`fma-neg_binary64`
146×	`distribute-rgt-in_binary64`
127×	`unsub-neg_binary64`
123×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	349
1	94	349
2	243	349
3	639	349
4	1570	349
5	2303	349
6	2673	349
7	2687	349
8	2687	349

Stop Event

1×

saturated

Counts

161 → 138

Calls

Call 1

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

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

prune128.0ms (3.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	133	5	138
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	135	9	144

Error

0.0b

Counts

144 → 9

Alt Table

Status	Error	Program
	3.8b	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y z (-.f64 1 z)))) 3)
	18.7b	(+.f64 (cbrt.f64 (pow.f64 (.f64 z (.f64 x y)) 3)) (*.f64 (-.f64 1 z) x))
✓	2.6b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
	3.6b	(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
✓	3.0b	(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
	36.0b	(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (.f64 z x)) (*.f64 x (-.f64 1 z)))
	28.7b	(fma.f64 (sqrt.f64 (.f64 z x)) (.f64 (sqrt.f64 (.f64 z x)) y) (.f64 x (-.f64 1 z)))
▶	3.3b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 z x)) 2) (.f64 (cbrt.f64 (.f64 z x)) y) (.f64 x (-.f64 1 z)))
	15.6b	(.f64 x (-.f64 1 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))))

Compiler

Compiled 2406 to 1150 computations (52.2% saved)

localize42.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 z x)) 2) (.f64 (cbrt.f64 (.f64 z x)) y) (.f64 x (-.f64 1 z)))
✓	0.3b	(.f64 (cbrt.f64 (.f64 z x)) y)
✓	0.4b	(pow.f64 (cbrt.f64 (*.f64 z x)) 2)
✓	10.5b	(cbrt.f64 (*.f64 z x))

series29.0ms (0.8%)

Counts

4 → 33

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(fma.f64 (pow.f64 (cbrt.f64 (.f64 z x)) 2) (.f64 (cbrt.f64 (.f64 z x)) y) (.f64 x (-.f64 1 z)))
3.0ms	y	@	0	(fma.f64 (pow.f64 (cbrt.f64 (.f64 z x)) 2) (.f64 (cbrt.f64 (.f64 z x)) y) (.f64 x (-.f64 1 z)))
2.0ms	y	@	0	(.f64 (cbrt.f64 (.f64 z x)) y)
1.0ms	z	@	-inf	(cbrt.f64 (*.f64 z x))
1.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (*.f64 z x)) 2)

rewrite56.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

338×	`prod-diff_binary64`
218×	`expm1-udef_binary64`
217×	`log1p-udef_binary64`
184×	`log-pow_binary64`
162×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	265	40
2	3117	38

Stop Event

1×	node limit

Counts

4 → 87

Calls

Call 1

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

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

simplify46.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

986×	`fma-def_binary64`
818×	`unswap-sqr_binary64`
514×	`fma-neg_binary64`
139×	`*-commutative_binary64`
124×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	317
1	40	301
2	86	283
3	159	283
4	416	283
5	1073	283
6	2003	283
7	3150	283
8	4802	283

Stop Event

1×	node limit

Counts

120 → 99

Calls

Call 1

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

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

prune171.0ms (4.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	123	10	133

Error

Counts

133 → 10

Alt Table

Status	Error	Program
✓	2.6b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
	9.5b	(fma.f64 (pow.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 z x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z x))) 2))) 2) (.f64 (cbrt.f64 (.f64 z x)) y) (.f64 x (-.f64 1 z)))
	3.8b	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y z (-.f64 1 z)))) 3)
	18.7b	(+.f64 (cbrt.f64 (pow.f64 (.f64 z (.f64 x y)) 3)) (*.f64 (-.f64 1 z) x))
▶	3.6b	(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
✓	3.0b	(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
	36.0b	(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (.f64 z x)) (*.f64 x (-.f64 1 z)))
	28.7b	(fma.f64 (sqrt.f64 (.f64 z x)) (.f64 (sqrt.f64 (.f64 z x)) y) (.f64 x (-.f64 1 z)))
✓	3.3b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 z x)) 2) (.f64 (cbrt.f64 (.f64 z x)) y) (.f64 x (-.f64 1 z)))
	15.6b	(.f64 x (-.f64 1 (/.f64 (.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))))

Compiler

Compiled 2705 to 1194 computations (55.9% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series18.0ms (0.5%)

Counts

3 → 51

Calls

24 calls:

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

rewrite68.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

489×	`log-prod_binary64`
367×	`fma-def_binary64`
215×	`fma-neg_binary64`
172×	`expm1-udef_binary64`
172×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	196	28
2	2708	28

Stop Event

1×	node limit

Counts

3 → 107

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 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 (+.f64 y -1) x))) (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 (+.f64 y -1) x))))) (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 (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 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 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 expm1.f64 (log1p.f64 (*.f64 z (*.f64 (+.f64 y -1) x))))))))

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

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

simplify58.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

486×	`fma-neg_binary64`
472×	`fma-def_binary64`
172×	`distribute-rgt-in_binary64`
161×	`distribute-lft-in_binary64`
119×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	500
1	66	457
2	164	457
3	391	457
4	1024	457
5	2104	457
6	2438	457
7	2527	457
8	2535	457
9	2535	457

Stop Event

1×

saturated

Counts

158 → 126

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

prune195.0ms (5.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	3	3	6
Picked	0	1	1
Done	0	3	3
Total	128	8	136

Error

Counts

136 → 8

Alt Table

Status	Error	Program
	3.8b	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y z (-.f64 1 z)))) 3)
	18.7b	(+.f64 (cbrt.f64 (pow.f64 (.f64 z (.f64 x y)) 3)) (*.f64 (-.f64 1 z) x))
✓	2.6b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
✓	3.6b	(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
	16.8b	(+.f64 (.f64 z (/.f64 (.f64 (fma.f64 y y -1) x) (+.f64 y 1))) x)
✓	3.0b	(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
	28.7b	(fma.f64 (sqrt.f64 (.f64 z x)) (.f64 (sqrt.f64 (.f64 z x)) y) (.f64 x (-.f64 1 z)))
✓	3.3b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 z x)) 2) (.f64 (cbrt.f64 (.f64 z x)) y) (.f64 x (-.f64 1 z)))

Compiler

Compiled 1853 to 1123 computations (39.4% saved)

regimes612.0ms (16.9%)

Accuracy

Total -40.0b remaining (-7097.2%)

Threshold costs -40.0b (-7097.2%)

Counts

46 → 3

Compiler

Compiled 548 to 301 computations (45.1% saved)

bsearch94.0ms (2.6%)

Algorithm

2×	binary-search

Calls

2 calls:

75.0ms	z
19.0ms	z

Steps

Iters	Point		Range
3.4472072448506344e-29	∈ [	3.4472072448506344e-29	,	1.3328407321126063e-20	]
-1e+136	∈ [	-3.041789142404564e+138	,	-5.638007346648906e+134	]

Compiler

Compiled 42 to 31 computations (26.2% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	45
1	29	45
2	32	45
3	34	45
4	35	45

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 z -10000000000000000586640612700740119755462042863897304388093713545509821352053815609504775357961393589804030375857007499376802103616864256) (fma.f64 (+.f64 y -1) (*.f64 x z) x) (if (<=.f64 z 6150023233115421/178405961588244985132285746181186892047843328) (*.f64 x (fma.f64 z (+.f64 y -1) 1)) (fma.f64 z (-.f64 (*.f64 x y) x) x)))

Outputs

(if (<=.f64 z -10000000000000000586640612700740119755462042863897304388093713545509821352053815609504775357961393589804030375857007499376802103616864256) (fma.f64 (+.f64 y -1) (*.f64 x z) x) (if (<=.f64 z 6150023233115421/178405961588244985132285746181186892047843328) (*.f64 x (fma.f64 z (+.f64 y -1) 1)) (fma.f64 z (-.f64 (*.f64 x y) x) x)))

(if (<=.f64 z -10000000000000000586640612700740119755462042863897304388093713545509821352053815609504775357961393589804030375857007499376802103616864256) (fma.f64 (+.f64 y -1) (*.f64 z x) x) (if (<=.f64 z 6150023233115421/178405961588244985132285746181186892047843328) (*.f64 x (fma.f64 z (+.f64 y -1) 1)) (fma.f64 z (-.f64 (*.f64 y x) x) x)))

end111.0ms (3.1%)

Stop Event

1×

fuel

Compiler

Compiled 172 to 96 computations (44.2% saved)

Details

analyze555.0ms (15.3%)

sample963.0ms (26.6%)

preprocess109.0ms (3%)

simplify30.0ms (0.8%)

prune4.0ms (0.1%)

localize5.0ms (0.1%)

series9.0ms (0.2%)

rewrite48.0ms (1.3%)

simplify55.0ms (1.5%)

prune82.0ms (2.3%)

localize7.0ms (0.2%)

series12.0ms (0.3%)

rewrite60.0ms (1.7%)

simplify47.0ms (1.3%)

prune128.0ms (3.5%)

localize42.0ms (1.2%)

series29.0ms (0.8%)

rewrite56.0ms (1.5%)

simplify46.0ms (1.3%)

prune171.0ms (4.7%)

localize6.0ms (0.2%)

series18.0ms (0.5%)

rewrite68.0ms (1.9%)

simplify58.0ms (1.6%)

prune195.0ms (5.4%)

regimes612.0ms (16.9%)

bsearch94.0ms (2.6%)

simplify3.0ms (0.1%)

end111.0ms (3.1%)

Profiling