Details

analyze256.0ms (10.8%)

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
25.6%	25%	72.5%	0.1%	2.3%	0%	0%	9
36.7%	34.3%	59.3%	0.1%	6.2%	0%	0%	10
44.2%	40.6%	51.3%	0.1%	8%	0%	0%	11
52.1%	46.8%	43%	0.1%	10%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.3s (55.6%)

Results

1.1s	8256×	body	256	valid
179.0ms	1116×	body	256	infinite

Bogosity

preprocess111.0ms (4.7%)

Algorithm

2×	egg-herbie

Rules

1690×	`fma-def`
550×	`associate-+r+`
544×	`associate-+l+`
472×	`associate-+l-`
364×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	33	60
2	76	60
3	154	60
4	287	60
5	729	60
6	1827	60
7	2557	60
8	3232	60
9	3638	60
10	3666	60
11	3666	60
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify45.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

614×	`fma-def`
222×	`associate--r+`
214×	`associate-+r+`
198×	`associate-+l+`
160×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	13	15
2	27	15
3	53	15
4	92	15
5	175	15
6	305	15
7	527	15
8	1094	15
9	1448	15
10	1601	15
11	1608	15

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 16 to 7 computations (56.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(+.f64 x (*.f64 y (-.f64 z x)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite57.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1662×	`add-sqr-sqrt`
1646×	`*-un-lft-identity`
1534×	`add-cube-cbrt`
1514×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	13
2	2001	13

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

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

Outputs

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

simplify63.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1232×	`fma-def`
1218×	`associate-*r/`
832×	`associate-r`
756×	`associate-l`
566×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	611
1	160	611
2	457	611
3	2973	611
4	6641	611

Stop Event

1×	node limit

Counts

43 → 28

Calls

Call 1

Inputs
(.f64 -1 (.f64 y x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (.f64 y (neg.f64 x)))
(+.f64 (.f64 z y) (.f64 (neg.f64 x) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 z x)))) 1)
(/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x))
(/.f64 (.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 z z (.f64 x (+.f64 z x))))
(/.f64 (.f64 (-.f64 (.f64 z z) (*.f64 x x)) y) (+.f64 z x))
(/.f64 (.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) y) (fma.f64 z z (.f64 x (+.f64 z x))))
(pow.f64 (*.f64 y (-.f64 z x)) 1)
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 3)
(pow.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 z x)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 z x)))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 z x))))
(exp.f64 (log.f64 (*.f64 y (-.f64 z x))))
(exp.f64 (.f64 (log.f64 (.f64 y (-.f64 z x))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 z x))))

Outputs
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (.f64 y (neg.f64 x)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 z y) (.f64 (neg.f64 x) y))
(*.f64 y (-.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 z x)))) 1)
(*.f64 y (-.f64 z x))
(/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x))
(*.f64 y (-.f64 z x))
(/.f64 (.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 z z (.f64 x (+.f64 z x))))
(/.f64 (.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 z z (.f64 x (+.f64 x z))))
(.f64 (/.f64 y (fma.f64 z z (.f64 x (+.f64 x z)))) (-.f64 (pow.f64 z 3) (pow.f64 x 3)))
(.f64 y (/.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x z) (.f64 z z))))
(.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) (/.f64 y (fma.f64 x x (.f64 z (+.f64 x z)))))
(/.f64 (.f64 (-.f64 (.f64 z z) (*.f64 x x)) y) (+.f64 z x))
(*.f64 y (-.f64 z x))
(/.f64 (.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) y) (fma.f64 z z (.f64 x (+.f64 z x))))
(/.f64 (.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 z z (.f64 x (+.f64 x z))))
(.f64 (/.f64 y (fma.f64 z z (.f64 x (+.f64 x z)))) (-.f64 (pow.f64 z 3) (pow.f64 x 3)))
(.f64 y (/.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x z) (.f64 z z))))
(.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) (/.f64 y (fma.f64 x x (.f64 z (+.f64 x z)))))
(pow.f64 (*.f64 y (-.f64 z x)) 1)
(*.f64 y (-.f64 z x))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) 2)
(*.f64 y (-.f64 z x))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 3)
(*.f64 y (-.f64 z x))
(pow.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3) 1/3)
(*.f64 y (-.f64 z x))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 2))
(*.f64 y (-.f64 z x))
(log.f64 (pow.f64 (exp.f64 (-.f64 z x)) y))
(*.f64 y (-.f64 z x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 z x)))))
(*.f64 y (-.f64 z x))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3))
(*.f64 y (-.f64 z x))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 z x))))
(*.f64 y (-.f64 z x))
(exp.f64 (log.f64 (*.f64 y (-.f64 z x))))
(*.f64 y (-.f64 z x))
(exp.f64 (.f64 (log.f64 (.f64 y (-.f64 z x))) 1))
(*.f64 y (-.f64 z x))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 z x))))
(*.f64 y (-.f64 z x))

eval5.0ms (0.2%)

Compiler: Compiled 338 to 140 computations (58.6% saved)

prune5.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Error

Counts

29 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(+.f64 x (*.f64 y (-.f64 z x)))
▶	24.0b	(+.f64 x (*.f64 y (neg.f64 x)))
▶	12.8b	(+.f64 x (*.f64 y z))

Compiler

Compiled 27 to 17 computations (37% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite84.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1638×	`add-sqr-sqrt`
1622×	`*-un-lft-identity`
1512×	`add-cube-cbrt`
1496×	`add-cbrt-cube`
158×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	148	9
2	1990	9

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

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

Outputs

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

simplify59.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1394×	`associate-r`
1210×	`associate-l`
838×	`distribute-lft-neg-in`
740×	`associate-+r+`
536×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	93	1139
1	222	1109
2	834	1109
3	4920	1109

Stop Event

1×	node limit

Counts

73 → 44

Calls

Call 1

Inputs
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y z x))) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y z))) (/.f64 (pow.f64 (.f64 y z) 2) (-.f64 x (.f64 y z))))
(*.f64 (fma.f64 y z x) 1)
(*.f64 1 (fma.f64 y z x))
(*.f64 (sqrt.f64 (fma.f64 y z x)) (sqrt.f64 (fma.f64 y z x)))
(*.f64 (cbrt.f64 (fma.f64 y z x)) (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (cbrt.f64 (fma.f64 y z x)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (/.f64 1 (-.f64 x (.f64 y z))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y z) (-.f64 (*.f64 y z) x)))))
(/.f64 1 (/.f64 (-.f64 x (.f64 y z)) (-.f64 (.f64 x x) (pow.f64 (*.f64 y z) 2))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y z) (-.f64 (.f64 y z) x))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (-.f64 x (*.f64 y z)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x x (.f64 (.f64 y z) (-.f64 (.f64 y z) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (+.f64 (pow.f64 (.f64 y z) 2) (-.f64 (.f64 x x) (.f64 (*.f64 x z) y))))
(/.f64 (-.f64 (pow.f64 (.f64 y z) 2) (.f64 x x)) (-.f64 (*.f64 y z) x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2))) (neg.f64 (-.f64 x (*.f64 y z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 y z) (-.f64 (.f64 y z) x)))))
(pow.f64 (fma.f64 y z x) 1)
(pow.f64 (sqrt.f64 (fma.f64 y z x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 y z x)) 3)
(pow.f64 (pow.f64 (fma.f64 y z x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 y z x) 2))
(log.f64 (exp.f64 (fma.f64 y z x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y z x))))
(cbrt.f64 (pow.f64 (fma.f64 y z x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y z x)))
(exp.f64 (log.f64 (fma.f64 y z x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y z x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 y z x)))
(fma.f64 y z x)
(fma.f64 z y x)
(fma.f64 1 x (*.f64 y z))
(fma.f64 1 (*.f64 y z) x)
(fma.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 y z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) (cbrt.f64 (.f64 y z)) x)
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 y z))

Outputs
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y z x))) 1)
(fma.f64 y z x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y z))) (/.f64 (pow.f64 (.f64 y z) 2) (-.f64 x (.f64 y z))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (-.f64 x (*.f64 y z)))
(*.f64 (fma.f64 y z x) 1)
(fma.f64 y z x)
(*.f64 1 (fma.f64 y z x))
(fma.f64 y z x)
(*.f64 (sqrt.f64 (fma.f64 y z x)) (sqrt.f64 (fma.f64 y z x)))
(fma.f64 y z x)
(*.f64 (cbrt.f64 (fma.f64 y z x)) (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2))
(fma.f64 y z x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (cbrt.f64 (fma.f64 y z x)))
(fma.f64 y z x)
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (/.f64 1 (-.f64 x (.f64 y z))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (-.f64 x (*.f64 y z)))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y z) (-.f64 (*.f64 y z) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) 1) (fma.f64 x x (.f64 y (.f64 z (-.f64 (*.f64 y z) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x x (.f64 z (.f64 y (-.f64 (.f64 y z) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 y z) (-.f64 (.f64 y z) x) (.f64 x x)))
(/.f64 1 (/.f64 (-.f64 x (.f64 y z)) (-.f64 (.f64 x x) (pow.f64 (*.f64 y z) 2))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (-.f64 x (*.f64 y z)))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y z) (-.f64 (.f64 y z) x))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) 1) (fma.f64 x x (.f64 y (.f64 z (-.f64 (*.f64 y z) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x x (.f64 z (.f64 y (-.f64 (.f64 y z) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 y z) (-.f64 (.f64 y z) x) (.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (-.f64 x (*.f64 y z)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x x (.f64 (.f64 y z) (-.f64 (.f64 y z) x))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) 1) (fma.f64 x x (.f64 y (.f64 z (-.f64 (*.f64 y z) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x x (.f64 z (.f64 y (-.f64 (.f64 y z) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 y z) (-.f64 (.f64 y z) x) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (+.f64 (pow.f64 (.f64 y z) 2) (-.f64 (.f64 x x) (.f64 (*.f64 x z) y))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) 1) (fma.f64 x x (.f64 y (.f64 z (-.f64 (*.f64 y z) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x x (.f64 z (.f64 y (-.f64 (.f64 y z) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 y z) (-.f64 (.f64 y z) x) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 (.f64 y z) 2) (.f64 x x)) (-.f64 (*.f64 y z) x))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (-.f64 x (*.f64 y z)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2))) (neg.f64 (-.f64 x (*.f64 y z))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (-.f64 x (*.f64 y z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 y z) (-.f64 (.f64 y z) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) 1) (fma.f64 x x (.f64 y (.f64 z (-.f64 (*.f64 y z) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 x x (.f64 z (.f64 y (-.f64 (.f64 y z) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y z) 3)) (fma.f64 (.f64 y z) (-.f64 (.f64 y z) x) (.f64 x x)))
(pow.f64 (fma.f64 y z x) 1)
(fma.f64 y z x)
(pow.f64 (sqrt.f64 (fma.f64 y z x)) 2)
(fma.f64 y z x)
(pow.f64 (cbrt.f64 (fma.f64 y z x)) 3)
(fma.f64 y z x)
(pow.f64 (pow.f64 (fma.f64 y z x) 3) 1/3)
(fma.f64 y z x)
(sqrt.f64 (pow.f64 (fma.f64 y z x) 2))
(fma.f64 y z x)
(log.f64 (exp.f64 (fma.f64 y z x)))
(fma.f64 y z x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y z x))))
(fma.f64 y z x)
(cbrt.f64 (pow.f64 (fma.f64 y z x) 3))
(fma.f64 y z x)
(expm1.f64 (log1p.f64 (fma.f64 y z x)))
(fma.f64 y z x)
(exp.f64 (log.f64 (fma.f64 y z x)))
(fma.f64 y z x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y z x)) 1))
(fma.f64 y z x)
(log1p.f64 (expm1.f64 (fma.f64 y z x)))
(fma.f64 y z x)
(fma.f64 y z x)
(fma.f64 z y x)
(fma.f64 y z x)
(fma.f64 1 x (*.f64 y z))
(fma.f64 y z x)
(fma.f64 1 (*.f64 y z) x)
(fma.f64 y z x)
(fma.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 y z)) x)
(fma.f64 y z x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y z))
(fma.f64 y z x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) (cbrt.f64 (.f64 y z)) x)
(fma.f64 y z x)
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 y z))
(fma.f64 y z (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)))

localize6.0ms (0.2%)

Compiler: Compiled 17 to 6 computations (64.7% saved)

eval33.0ms (1.4%)

Compiler: Compiled 510 to 175 computations (65.7% saved)

prune7.0ms (0.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	42	5	47

Error

Counts

47 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(+.f64 x (*.f64 y (-.f64 z x)))
✓	24.0b	(+.f64 x (*.f64 y (neg.f64 x)))
✓	12.8b	(+.f64 x (*.f64 y z))
▶	38.7b	(*.f64 y z)
	36.5b	x

Compiler

Compiled 37 to 24 computations (35.1% saved)

localize4.0ms (0.2%)

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

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	3	3
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(+.f64 x (*.f64 y (-.f64 z x)))
✓	24.0b	(+.f64 x (*.f64 y (neg.f64 x)))
✓	12.8b	(+.f64 x (*.f64 y z))
✓	38.7b	(*.f64 y z)
	36.5b	x

Compiler

Compiled 37 to 24 computations (35.1% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(+.f64 x (*.f64 y (-.f64 z x)))
✓	24.0b	(+.f64 x (*.f64 y (neg.f64 x)))
✓	12.8b	(+.f64 x (*.f64 y z))
✓	38.7b	(*.f64 y z)
	36.5b	x

Compiler

Compiled 37 to 24 computations (35.1% saved)

regimes48.0ms (2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

35.0ms	y
4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
4.0ms	x
4.0ms	z

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`z`
0b	1	`(+.f64 x (*.f64 y (-.f64 z x)))`

Compiler

Compiled 47 to 26 computations (44.7% saved)

regimes43.0ms (1.8%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	y
12.0ms	x
11.0ms	z

Results

Error	Segments	Branch
7.9b	3	`x`
8.5b	4	`y`
5.0b	3	`z`

Compiler

Compiled 30 to 17 computations (43.3% saved)

bsearch38.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	1.6858846726678308e-133	8.828702398773402e-129
12.0ms	-1.9817518771224962e-94	-7.0687301537583565e-99

Results

35.0ms

256×

body

256

valid

Compiler

Compiled 320 to 219 computations (31.6% saved)

regimes37.0ms (1.5%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	x
3.0ms	z
3.0ms	y

Results

Error	Segments	Branch
12.8b	1	`x`
12.8b	1	`y`
12.8b	1	`z`

Compiler

Compiled 24 to 14 computations (41.7% saved)

regimes37.0ms (1.6%)

Accuracy

Total -38.9b remaining (-169.3%)

Threshold costs -38.9b (-169.3%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 y z)

Outputs
x
(*.f64 y z)
x

Calls

3 calls:

17.0ms	z
11.0ms	x
8.0ms	y

Results

Error	Segments	Branch
23.0b	3	`x`
25.0b	3	`y`
25.6b	5	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch33.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	1.7229764367516262e-44	7.039731419889874e-38
8.0ms	-1.7962309759356462e-91	-5.147033274508977e-92

Results

30.0ms

224×

body

256

valid

Compiler

Compiled 184 to 137 computations (25.5% saved)

simplify28.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
14×	`+-commutative`
6×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	115
1	50	111
2	59	111
3	65	111
4	68	111
5	69	111

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (*.f64 y (-.f64 z x)))
(if (<=.f64 z -8657667377137459/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (+.f64 x (.f64 y z)) (if (<=.f64 z 7804371375789981/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352) (+.f64 x (.f64 y (neg.f64 x))) (+.f64 x (*.f64 y z))))
(+.f64 x (*.f64 y z))
(if (<=.f64 x -6972235792609817/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) x (if (<=.f64 x 1632046451200537/3138550867693340381917894711603833208051177722232017256448) (*.f64 y z) x))
x

Outputs
(+.f64 x (*.f64 y (-.f64 z x)))
(if (<=.f64 z -8657667377137459/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (+.f64 x (.f64 y z)) (if (<=.f64 z 7804371375789981/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352) (+.f64 x (.f64 y (neg.f64 x))) (+.f64 x (*.f64 y z))))
(if (or (<=.f64 z -8657667377137459/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (not (<=.f64 z 7804371375789981/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352))) (+.f64 x (.f64 y z)) (+.f64 x (.f64 y (neg.f64 x))))
(if (or (<=.f64 z -8657667377137459/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (not (<=.f64 z 7804371375789981/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352))) (+.f64 x (.f64 y z)) (-.f64 x (.f64 x y)))
(+.f64 x (*.f64 y z))
(if (<=.f64 x -6972235792609817/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) x (if (<=.f64 x 1632046451200537/3138550867693340381917894711603833208051177722232017256448) (*.f64 y z) x))
x

Compiler

Compiled 60 to 38 computations (36.7% saved)

soundness0.0ms (0%)

end31.0ms (1.3%)

Compiler: Compiled 48 to 23 computations (52.1% saved)

Details

analyze256.0ms (10.8%)

sample1.3s (55.6%)

preprocess111.0ms (4.7%)

simplify45.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.3%)

series3.0ms (0.1%)

rewrite57.0ms (2.4%)

simplify63.0ms (2.6%)

eval5.0ms (0.2%)

prune5.0ms (0.2%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite84.0ms (3.6%)

simplify59.0ms (2.5%)

localize6.0ms (0.2%)

eval33.0ms (1.4%)

prune7.0ms (0.3%)

localize4.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes48.0ms (2%)

regimes43.0ms (1.8%)

bsearch38.0ms (1.6%)

regimes37.0ms (1.5%)

regimes37.0ms (1.6%)

bsearch33.0ms (1.4%)

simplify28.0ms (1.2%)

soundness0.0ms (0%)

end31.0ms (1.3%)

Profiling