Details

analyze731.0ms (12%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
25.8%	25%	71.8%	0.1%	3.1%	0%	0%	9
36.4%	34.3%	60.1%	0.1%	5.5%	0%	0%	10
44.5%	41.3%	51.5%	0.1%	7%	0%	0%	11
51.5%	46.8%	44.1%	0.1%	9%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.5s (24.3%)

Results

1.3s	8256×	body	256	valid
136.0ms	1201×	body	256	infinite

Bogosity

preprocess101.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

768×	`fma-neg_binary64`
441×	`fma-def_binary64`
175×	`cancel-sign-sub-inv_binary64`
127×	`distribute-rgt-in_binary64`
113×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	44
1	43	44
2	87	44
3	151	44
4	337	36
5	680	32
6	1140	32
7	1863	32
8	2484	32
9	2782	32
10	2857	32
11	2858	32
12	2858	32
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify32.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

346×	`fma-def_binary64`
246×	`fma-neg_binary64`
54×	`cancel-sign-sub-inv_binary64`
45×	`distribute-rgt-in_binary64`
41×	`associate--r+_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	57	11
4	126	9
5	218	8
6	346	8
7	557	8
8	960	8
9	1145	8
10	1205	8
11	1215	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 18 to 10 computations (44.4% 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

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 x (-.f64 y z) z)
▶	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

series8.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite72.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`log-prod_binary64`
409×	`prod-exp_binary64`
382×	`fma-def_binary64`
353×	`exp-prod_binary64`
342×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	192	18
2	2623	18

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

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

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

simplify49.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

345×	`fma-def_binary64`
247×	`fma-neg_binary64`
51×	`cancel-sign-sub-inv_binary64`
47×	`unsub-neg_binary64`
38×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	477
1	58	424
2	125	424
3	251	424
4	523	424
5	883	424
6	1150	424
7	1219	424
8	1221	424

Stop Event

1×

saturated

Counts

182 → 138

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 5 computations (66.7% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite50.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`pow1_binary64`
686×	`add-log-exp_binary64`
686×	`log1p-expm1-u_binary64`
686×	`expm1-log1p-u_binary64`
670×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	130	8
2	1797	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify44.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

400×	`fma-def_binary64`
300×	`fma-neg_binary64`
64×	`cancel-sign-sub-inv_binary64`
59×	`distribute-rgt-in_binary64`
43×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	267
1	56	264
2	109	264
3	188	264
4	348	264
5	648	264
6	1031	264
7	1270	264
8	1389	264
9	1391	264

Stop Event

1×

saturated

Counts

57 → 33

Calls

Call 1

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

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

eval44.0ms (0.7%)

Compiler: Compiled 2312 to 1176 computations (49.1% saved)

prune28.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	165	6	171
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	166	7	173

Error

Counts

173 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.4b	(*.f64 (-.f64 y z) x)
▶	40.5b	(*.f64 y x)
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
	34.8b	z
▶	0.0b	(+.f64 (*.f64 (-.f64 y z) x) z)
▶	28.4b	(+.f64 (.f64 x y) (.f64 x (neg.f64 z)))
▶	12.7b	(+.f64 (*.f64 x y) z)

Compiler

Compiled 102 to 65 computations (36.3% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite52.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`pow1_binary64`
672×	`add-log-exp_binary64`
672×	`log1p-expm1-u_binary64`
672×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1784	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify28.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

217×	`fma-def_binary64`
132×	`fma-neg_binary64`
41×	`cancel-sign-sub-inv_binary64`
25×	`distribute-rgt-in_binary64`
25×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	210
1	17	192
2	39	156
3	57	156
4	81	156
5	133	156
6	249	156
7	404	156
8	570	156
9	724	156
10	738	156

Stop Event

1×

saturated

Counts

43 → 25

Calls

Call 1

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

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

localize3.0ms (0.1%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize5.0ms (0.1%)

Compiler: Compiled 14 to 5 computations (64.3% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+.f64 (.f64 x y) (.f64 x (neg.f64 z)))
1.0ms	x	@	inf	(+.f64 (.f64 x y) (.f64 x (neg.f64 z)))
0.0ms	y	@	0	(+.f64 (.f64 x y) (.f64 x (neg.f64 z)))
0.0ms	z	@	0	(+.f64 (.f64 x y) (.f64 x (neg.f64 z)))
0.0ms	x	@	-inf	(+.f64 (.f64 x y) (.f64 x (neg.f64 z)))

rewrite57.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`pow1_binary64`
772×	`add-log-exp_binary64`
771×	`log1p-expm1-u_binary64`
771×	`expm1-log1p-u_binary64`
755×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	176	7
2	2564	7

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify28.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

160×	`fma-def_binary64`
110×	`fma-neg_binary64`
31×	`unsub-neg_binary64`
30×	`cancel-sign-sub-inv_binary64`
27×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	270
1	41	240
2	96	240
3	186	240
4	324	240
5	505	240
6	619	240
7	660	240

Stop Event

1×

saturated

Counts

80 → 51

Calls

Call 1

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

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

eval19.0ms (0.3%)

Compiler: Compiled 1081 to 353 computations (67.3% saved)

prune17.0ms (0.3%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	0	1	1
Picked	1	0	1
Done	0	5	5
Total	99	9	108

Error

Counts

108 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.4b	(*.f64 (-.f64 y z) x)
▶	22.4b	(+.f64 (*.f64 z (neg.f64 x)) z)
✓	40.5b	(*.f64 y x)
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
	34.8b	z
✓	0.0b	(+.f64 (*.f64 (-.f64 y z) x) z)
▶	28.4b	(-.f64 (.f64 x y) (.f64 x z))
▶	50.2b	(*.f64 z (neg.f64 x))
✓	12.7b	(+.f64 (*.f64 x y) z)

Compiler

Compiled 74 to 48 computations (35.1% saved)

localize5.0ms (0.1%)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 6 computations (64.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite146.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

643×	`pow1_binary64`
598×	`add-log-exp_binary64`
597×	`log1p-expm1-u_binary64`
597×	`expm1-log1p-u_binary64`
585×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	135	5
2	1973	5

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify22.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

160×	`fma-def_binary64`
69×	`fma-neg_binary64`
23×	`associate-l_binary64`
23×	`distribute-rgt-in_binary64`
22×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	202
1	34	160
2	66	160
3	107	160
4	187	160
5	322	160
6	520	160
7	537	160

Stop Event

1×

saturated

Counts

63 → 47

Calls

Call 1

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

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

localize57.0ms (0.9%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite62.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`pow1_binary64`
836×	`add-log-exp_binary64`
836×	`log1p-expm1-u_binary64`
836×	`expm1-log1p-u_binary64`
819×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	162	7
2	2300	7

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

Outputs

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

simplify29.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

129×	`fma-def_binary64`
70×	`fma-neg_binary64`
37×	`unsub-neg_binary64`
29×	`distribute-rgt-in_binary64`
28×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	240
1	43	240
2	99	240
3	263	240
4	441	240
5	559	240
6	628	240
7	633	240

Stop Event

1×

saturated

Counts

89 → 58

Calls

Call 1

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

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

eval73.0ms (1.2%)

Compiler: Compiled 1315 to 407 computations (69% saved)

prune19.0ms (0.3%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	1	0	1
Picked	0	1	1
Done	1	6	7
Total	105	9	114

Error

Counts

114 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.4b	(*.f64 (-.f64 y z) x)
✓	40.5b	(*.f64 y x)
	34.8b	z
▶	22.4b	(-.f64 z (*.f64 z x))
✓	50.2b	(*.f64 z (neg.f64 x))
✓	0.0b	(+.f64 (*.f64 (-.f64 y z) x) z)
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
✓	28.4b	(-.f64 (.f64 x y) (.f64 x z))
✓	12.7b	(+.f64 (*.f64 x y) z)

Compiler

Compiled 73 to 47 computations (35.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite97.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`pow1_binary64`
604×	`add-log-exp_binary64`
604×	`log1p-expm1-u_binary64`
604×	`expm1-log1p-u_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1650	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify24.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

136×	`fma-def_binary64`
71×	`fma-neg_binary64`
22×	`cancel-sign-sub-inv_binary64`
18×	`sub-neg_binary64`
17×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	160
1	28	160
2	47	160
3	76	160
4	124	160
5	211	160
6	360	160
7	439	160
8	509	160
9	515	160

Stop Event

1×

saturated

Counts

62 → 45

Calls

Call 1

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

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

eval11.0ms (0.2%)

Compiler: Compiled 531 to 163 computations (69.3% saved)

prune32.0ms (0.5%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	1	0	1
Picked	0	1	1
Done	0	7	7
Total	45	9	54

Error

Counts

54 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.4b	(*.f64 (-.f64 y z) x)
✓	40.5b	(*.f64 y x)
✓	22.4b	(-.f64 z (*.f64 z x))
✓	50.2b	(*.f64 z (neg.f64 x))
✓	0.0b	(+.f64 (*.f64 (-.f64 y z) x) z)
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
✓	28.4b	(-.f64 (.f64 x y) (.f64 x z))
✓	12.7b	(+.f64 (*.f64 x y) z)
	34.8b	z

Compiler

Compiled 73 to 47 computations (35.6% saved)

regimes227.0ms (3.7%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

165.0ms	z
21.0ms	x
19.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
17.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))`

Compiler

Compiled 95 to 41 computations (56.8% saved)

regimes72.0ms (1.2%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	x
17.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
17.0ms	y
16.0ms	z

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))`

Compiler

Compiled 89 to 40 computations (55.1% saved)

regimes175.0ms (2.9%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

71.0ms	z
59.0ms	y
41.0ms	x

Results

Error	Segments	Branch
0.7b	3	`x`
5.7b	3	`y`
7.6b	6	`z`

Compiler

Compiled 53 to 24 computations (54.7% saved)

bsearch105.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.00698274610935229	1.2818642597279686
87.0ms	-8.968172239417945e+27	-5.931383506665957e+27

Compiler

Compiled 90 to 61 computations (32.2% saved)

regimes238.0ms (3.9%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

105.0ms	y
90.0ms	z
37.0ms	x

Results

Error	Segments	Branch
0.7b	3	`x`
5.7b	3	`y`
7.6b	6	`z`

Compiler

Compiled 46 to 22 computations (52.2% saved)

bsearch235.0ms (3.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	0.00698274610935229	1.2818642597279686
196.0ms	-8.968172239417945e+27	-5.931383506665957e+27

Compiler

Compiled 90 to 61 computations (32.2% saved)

regimes211.0ms (3.5%)

Counts

7 → 5

Calls

Call 1

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

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

Calls

3 calls:

99.0ms	y
63.0ms	x
47.0ms	z

Results

Error	Segments	Branch
7.7b	5	`x`
13.9b	5	`y`
11.6b	3	`z`

Compiler

Compiled 35 to 19 computations (45.7% saved)

bsearch109.0ms (1.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
47.0ms	1.2818642597279686	1.7564306089211447e+23
18.0ms	9.825580374290593e-31	4.5333973589737574e-26
23.0ms	5.769163768694703e-68	1.695241557299729e-57
21.0ms	-1.5294736021662938e-74	-1.6377594936647355e-75

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes249.0ms (4.1%)

Counts

6 → 5

Calls

Call 1

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

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

Calls

3 calls:

128.0ms	x
60.0ms	z
58.0ms	y

Results

Error	Segments	Branch
16.8b	6	`x`
14.4b	5	`y`
13.3b	5	`z`

Compiler

Compiled 30 to 17 computations (43.3% saved)

bsearch163.0ms (2.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
43.0ms	1.6057449457691527e-129	2.0455216389460027e-124
30.0ms	2.203176075128337e-157	2.4416060230321257e-157
56.0ms	7.17613018288946e-196	9.032163562497002e-180
34.0ms	-1.2619149508878352e-98	-2.14612790080881e-100

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes90.0ms (1.5%)

Counts

5 → 7

Calls

Call 1

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

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

Calls

3 calls:

48.0ms	x
21.0ms	z
19.0ms	y

Results

Error	Segments	Branch
17.4b	7	`x`
26.3b	5	`y`
22.8b	4	`z`

Compiler

Compiled 25 to 15 computations (40% saved)

bsearch321.0ms (5.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
19.0ms	0.00698274610935229	1.2818642597279686
20.0ms	9.825580374290593e-31	4.5333973589737574e-26
21.0ms	5.769163768694703e-68	1.695241557299729e-57
32.0ms	-1.5294736021662938e-74	-1.6377594936647355e-75
109.0ms	-1.2280061097967684e+49	-1.0845517968561211e+45
119.0ms	-3.04331323010427e+150	-2.2828468534593596e+146

Compiler

Compiled 258 to 189 computations (26.7% saved)

regimes53.0ms (0.9%)

Counts

4 → 3

Calls

Call 1

Inputs
z
z
z
(*.f64 y x)

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

Calls

3 calls:

21.0ms	y
16.0ms	z
15.0ms	x

Results

Error	Segments	Branch
21.3b	3	`x`
26.3b	5	`y`
24.0b	3	`z`

Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch41.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	5.769163768694703e-68	1.695241557299729e-57
20.0ms	-1.5294736021662938e-74	-1.6377594936647355e-75

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes12.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
z
z
z

Outputs
z

Calls

3 calls:

4.0ms	y
4.0ms	x
4.0ms	z

Results

Error	Segments	Branch
34.8b	1	`x`
34.8b	1	`y`
34.8b	1	`z`

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
7×	`*-commutative_binary64`
6×	`sub-neg_binary64`
3×	`cancel-sign-sub-inv_binary64`
3×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	280
1	84	280
2	95	280
3	100	280
4	102	280

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 (-.f64 y z) x) z)
(if (<=.f64 x -8799999999999999457223507968) (.f64 (-.f64 y z) x) (if (<=.f64 x 8050558150682049/1152921504606846976) (+.f64 (.f64 x y) z) (-.f64 (.f64 x y) (.f64 x z))))
(if (<=.f64 x -8799999999999999457223507968) (.f64 (-.f64 y z) x) (if (<=.f64 x 8050558150682049/1152921504606846976) (+.f64 (.f64 x y) z) (*.f64 (-.f64 y z) x)))
(if (<=.f64 x -7788981881166599/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (.f64 (-.f64 y z) x) (if (<=.f64 x 109448974488271/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) (-.f64 z (.f64 z x)) (if (<=.f64 x 1402353691870321/1427247692705959881058285969449495136382746624) (.f64 y x) (if (<=.f64 x 1443250850612609/1125899906842624) (-.f64 z (.f64 z x)) (*.f64 (-.f64 y z) x)))))
(if (<=.f64 z -7769059486594581/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) (-.f64 z (.f64 z x)) (if (<=.f64 z 7549484001840349/10520271803096747014481979765760257331100679605646347718996561806137464308594161644227333072555176902453965937712356435426038864500367607726255629541303761699910447342256889196383327515768645434542586503471562752) (.f64 y x) (if (<=.f64 z 6811405289717879/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (-.f64 z (.f64 z x)) (if (<=.f64 z 1253182989158021/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (.f64 y x) (-.f64 z (*.f64 z x))))))
(if (<=.f64 x -230000000000000000262693766013226370494464728132314959175577431064498530350015518038265902354151114449797561455521517764823964476443021582564065280) (.f64 y x) (if (<=.f64 x -11999999999999999877113009224060914689296530669568) (.f64 z (neg.f64 x)) (if (<=.f64 x -7788981881166599/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (.f64 y x) (if (<=.f64 x 109448974488271/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) z (if (<=.f64 x 1402353691870321/1427247692705959881058285969449495136382746624) (.f64 y x) (if (<=.f64 x 8050558150682049/1152921504606846976) z (*.f64 z (neg.f64 x))))))))
(if (<=.f64 x -7788981881166599/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (.f64 y x) (if (<=.f64 x 109448974488271/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) z (.f64 y x)))
z

Outputs
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 (-.f64 y z) x) z)
(+.f64 z (*.f64 x (-.f64 y z)))
(if (<=.f64 x -8799999999999999457223507968) (.f64 (-.f64 y z) x) (if (<=.f64 x 8050558150682049/1152921504606846976) (+.f64 (.f64 x y) z) (-.f64 (.f64 x y) (.f64 x z))))
(if (<=.f64 x -8799999999999999457223507968) (.f64 x (-.f64 y z)) (if (<=.f64 x 8050558150682049/1152921504606846976) (+.f64 z (.f64 x y)) (-.f64 (.f64 x y) (.f64 x z))))
(if (<=.f64 x -8799999999999999457223507968) (.f64 (-.f64 y z) x) (if (<=.f64 x 8050558150682049/1152921504606846976) (+.f64 (.f64 x y) z) (*.f64 (-.f64 y z) x)))
(if (<=.f64 x -8799999999999999457223507968) (.f64 x (-.f64 y z)) (if (<=.f64 x 8050558150682049/1152921504606846976) (+.f64 z (.f64 x y)) (*.f64 x (-.f64 y z))))
(if (<=.f64 x -7788981881166599/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (.f64 (-.f64 y z) x) (if (<=.f64 x 109448974488271/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) (-.f64 z (.f64 z x)) (if (<=.f64 x 1402353691870321/1427247692705959881058285969449495136382746624) (.f64 y x) (if (<=.f64 x 1443250850612609/1125899906842624) (-.f64 z (.f64 z x)) (*.f64 (-.f64 y z) x)))))
(if (<=.f64 x -7788981881166599/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (.f64 x (-.f64 y z)) (if (<=.f64 x 109448974488271/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) (-.f64 z (.f64 x z)) (if (<=.f64 x 1402353691870321/1427247692705959881058285969449495136382746624) (.f64 x y) (if (<=.f64 x 1443250850612609/1125899906842624) (-.f64 z (.f64 x z)) (*.f64 x (-.f64 y z))))))
(if (<=.f64 z -7769059486594581/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) (-.f64 z (.f64 z x)) (if (<=.f64 z 7549484001840349/10520271803096747014481979765760257331100679605646347718996561806137464308594161644227333072555176902453965937712356435426038864500367607726255629541303761699910447342256889196383327515768645434542586503471562752) (.f64 y x) (if (<=.f64 z 6811405289717879/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (-.f64 z (.f64 z x)) (if (<=.f64 z 1253182989158021/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (.f64 y x) (-.f64 z (*.f64 z x))))))
(if (<=.f64 z -7769059486594581/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) (-.f64 z (.f64 x z)) (if (<=.f64 z 7549484001840349/10520271803096747014481979765760257331100679605646347718996561806137464308594161644227333072555176902453965937712356435426038864500367607726255629541303761699910447342256889196383327515768645434542586503471562752) (.f64 x y) (if (<=.f64 z 6811405289717879/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (-.f64 z (.f64 x z)) (if (<=.f64 z 1253182989158021/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (.f64 x y) (-.f64 z (*.f64 x z))))))
(if (<=.f64 x -230000000000000000262693766013226370494464728132314959175577431064498530350015518038265902354151114449797561455521517764823964476443021582564065280) (.f64 y x) (if (<=.f64 x -11999999999999999877113009224060914689296530669568) (.f64 z (neg.f64 x)) (if (<=.f64 x -7788981881166599/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (.f64 y x) (if (<=.f64 x 109448974488271/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) z (if (<=.f64 x 1402353691870321/1427247692705959881058285969449495136382746624) (.f64 y x) (if (<=.f64 x 8050558150682049/1152921504606846976) z (*.f64 z (neg.f64 x))))))))
(if (<=.f64 x -230000000000000000262693766013226370494464728132314959175577431064498530350015518038265902354151114449797561455521517764823964476443021582564065280) (.f64 x y) (if (<=.f64 x -11999999999999999877113009224060914689296530669568) (.f64 z (neg.f64 x)) (if (<=.f64 x -7788981881166599/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (.f64 x y) (if (<=.f64 x 109448974488271/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) z (if (<=.f64 x 1402353691870321/1427247692705959881058285969449495136382746624) (.f64 x y) (if (<=.f64 x 8050558150682049/1152921504606846976) z (*.f64 z (neg.f64 x))))))))
(if (<=.f64 x -7788981881166599/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (.f64 y x) (if (<=.f64 x 109448974488271/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) z (.f64 y x)))
(if (<=.f64 x -7788981881166599/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344) (.f64 x y) (if (<=.f64 x 109448974488271/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) z (.f64 x y)))
z

Compiler

Compiled 223 to 114 computations (48.9% saved)

soundness70.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

346×	`fma-def_binary64`
246×	`fma-neg_binary64`
54×	`cancel-sign-sub-inv_binary64`
45×	`distribute-rgt-in_binary64`
41×	`associate--r+_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	57	11
4	126	9
5	218	8
6	346	8
7	557	8
8	960	8
9	1145	8
10	1205	8
11	1215	8

Stop Event

1×

saturated

Compiler

Compiled 210 to 134 computations (36.2% saved)

end200.0ms (3.3%)

Compiler: Compiled 199 to 74 computations (62.8% saved)

Iter	Nodes	Cost
0	9	210
1	17	192
2	39	156
3	57	156
4	81	156
5	133	156
6	249	156
7	404	156
8	570	156
9	724	156
10	738	156

Iter	Nodes	Cost
0	14	160
1	28	160
2	47	160
3	76	160
4	124	160
5	211	160
6	360	160
7	439	160
8	509	160
9	515	160

Iter	Nodes	Cost
0	9	210
1	17	192
2	39	156
3	57	156
4	81	156
5	133	156
6	249	156
7	404	156
8	570	156
9	724	156
10	738	156

Iter	Nodes	Cost
0	14	160
1	28	160
2	47	160
3	76	160
4	124	160
5	211	160
6	360	160
7	439	160
8	509	160
9	515	160

Details

analyze731.0ms (12%)

sample1.5s (24.3%)

preprocess101.0ms (1.7%)

simplify32.0ms (0.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.2%)

series8.0ms (0.1%)

rewrite72.0ms (1.2%)

simplify49.0ms (0.8%)

localize6.0ms (0.1%)

series4.0ms (0.1%)

rewrite50.0ms (0.8%)

simplify44.0ms (0.7%)

eval44.0ms (0.7%)

prune28.0ms (0.5%)

localize7.0ms (0.1%)

series4.0ms (0.1%)

rewrite52.0ms (0.9%)

simplify28.0ms (0.5%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

localize5.0ms (0.1%)

localize8.0ms (0.1%)

series5.0ms (0.1%)

rewrite57.0ms (0.9%)

simplify28.0ms (0.5%)

eval19.0ms (0.3%)

prune17.0ms (0.3%)

localize5.0ms (0.1%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite146.0ms (2.4%)

simplify22.0ms (0.4%)

localize57.0ms (0.9%)

series3.0ms (0%)

rewrite62.0ms (1%)

simplify29.0ms (0.5%)

eval73.0ms (1.2%)

prune19.0ms (0.3%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite97.0ms (1.6%)

simplify24.0ms (0.4%)

eval11.0ms (0.2%)

prune32.0ms (0.5%)

regimes227.0ms (3.7%)

regimes72.0ms (1.2%)

regimes175.0ms (2.9%)

bsearch105.0ms (1.7%)

regimes238.0ms (3.9%)

bsearch235.0ms (3.9%)

regimes211.0ms (3.5%)

bsearch109.0ms (1.8%)

regimes249.0ms (4.1%)

bsearch163.0ms (2.7%)

regimes90.0ms (1.5%)

bsearch321.0ms (5.3%)

regimes53.0ms (0.9%)

bsearch41.0ms (0.7%)

regimes12.0ms (0.2%)

simplify20.0ms (0.3%)

soundness70.0ms (1.2%)

end200.0ms (3.3%)

Profiling

Iter	Nodes	Cost
0	9	210
1	17	192
2	39	156
3	57	156
4	81	156
5	133	156
6	249	156
7	404	156
8	570	156
9	724	156
10	738	156

Iter	Nodes	Cost
0	14	160
1	28	160
2	47	160
3	76	160
4	124	160
5	211	160
6	360	160
7	439	160
8	509	160
9	515	160