Details

analyze283.0ms (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)

sample1.1s (40.9%)

Results

958.0ms	8256×	body	256	valid
99.0ms	1071×	body	256	infinite

Bogosity

preprocess112.0ms (4.3%)

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)

simplify43.0ms (1.6%)

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

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

localize6.0ms (0.2%)

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	z	@	inf	(*.f64 y (-.f64 z x))
0.0ms	y	@	inf	(*.f64 y (-.f64 z x))

rewrite60.0ms (2.3%)

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))))))))

simplify66.0ms (2.5%)

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

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Error

Counts

29 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.1b	(+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) 2))
✓	0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
▶	23.6b	(+.f64 x (*.f64 y (neg.f64 x)))
▶	12.3b	(+.f64 x (*.f64 y z))

Compiler

Compiled 40 to 26 computations (35% saved)

localize5.0ms (0.2%)

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

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 6 computations (64.7% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite55.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1602×	`add-sqr-sqrt`
1586×	`*-un-lft-identity`
1480×	`add-cube-cbrt`
1464×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	172	9
2	2422	9

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

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

Outputs

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

simplify58.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1692×	`associate-/l*`
1416×	`associate-/r*`
1012×	`associate-+r+`
804×	`associate-+l+`
796×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	1209
1	258	1083
2	1142	1079
3	6256	1079

Stop Event

1×	node limit

Counts

65 → 64

Calls

Call 1

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

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

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 y (-.f64 z x))
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) 2)
✓	3.9b	(sqrt.f64 (*.f64 y (-.f64 z x)))

Compiler

Compiled 39 to 12 computations (69.2% saved)

series17.0ms (0.7%)

Counts

2 → 16

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) 2)
1.0ms	z	@	-inf	(pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) 2)
1.0ms	z	@	inf	(pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) 2)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) 2)
1.0ms	x	@	0	(sqrt.f64 (*.f64 y (-.f64 z x)))

rewrite70.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`*-commutative`
754×	`unswap-sqr`
576×	`associate-*r/`
548×	`swap-sqr`
478×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	232	30
2	2648	30

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 y (-.f64 z x)))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) 2)

Outputs

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

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

simplify88.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1870×	`distribute-lft-in`
1216×	`associate-/r/`
672×	`associate-l`
594×	`associate-+r+`
588×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	404	6228
1	1095	5174
2	4573	5168

Stop Event

1×	node limit

Counts

142 → 230

Calls

Call 1

Inputs
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y x)))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y x))) (.f64 1/2 (.f64 (/.f64 z (sqrt.f64 -1)) (sqrt.f64 (/.f64 y x)))))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y x))) (+.f64 (.f64 1/2 (.f64 (/.f64 z (sqrt.f64 -1)) (sqrt.f64 (/.f64 y x)))) (.f64 -1/8 (.f64 (/.f64 (pow.f64 z 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 y (pow.f64 x 3)))))))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y x))) (+.f64 (.f64 1/2 (.f64 (/.f64 z (sqrt.f64 -1)) (sqrt.f64 (/.f64 y x)))) (+.f64 (.f64 1/16 (.f64 (/.f64 (pow.f64 z 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 y (pow.f64 x 5))))) (.f64 -1/8 (.f64 (/.f64 (pow.f64 z 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 y (pow.f64 x 3))))))))
(sqrt.f64 (*.f64 y z))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 y z)) x)) (sqrt.f64 (*.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 y z)) x)) (+.f64 (sqrt.f64 (.f64 y z)) (.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 y (pow.f64 z 3))) (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 y z)) x)) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 y (pow.f64 z 5))) (pow.f64 x 3))) (+.f64 (sqrt.f64 (.f64 y z)) (.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 y (pow.f64 z 3))) (pow.f64 x 2))))))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y x))
(+.f64 (.f64 y z) (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x)))
(+.f64 (.f64 y z) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y x)) (.f64 (pow.f64 z 2) (+.f64 (.f64 1/4 (/.f64 y (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (.f64 -1/4 (/.f64 y (.f64 (pow.f64 (sqrt.f64 -1) 2) x)))))))
(+.f64 (.f64 y z) (+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 y (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))) (.f64 -1/8 (/.f64 y (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2))))) (pow.f64 z 3)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y x)) (.f64 (pow.f64 z 2) (+.f64 (.f64 1/4 (/.f64 y (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (.f64 -1/4 (/.f64 y (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))))))))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 y z) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 y z)) (.f64 1/4 (/.f64 y z))) (pow.f64 x 2)) (.f64 -1 (.f64 y x))))
(+.f64 (.f64 y z) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 y z)) (.f64 1/4 (/.f64 y z))) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 y x)) (.f64 (+.f64 (.f64 -1/8 (/.f64 y (pow.f64 z 2))) (*.f64 1/8 (/.f64 y (pow.f64 z 2)))) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y (-.f64 z x))))) 1)
(.f64 (sqrt.f64 (.f64 y (-.f64 z x))) 1)
(.f64 (sqrt.f64 (.f64 y (-.f64 z x))) (pow.f64 1 1/2))
(.f64 1 (sqrt.f64 (.f64 y (-.f64 z x))))
(.f64 (pow.f64 (.f64 y (-.f64 z x)) 1/4) (pow.f64 (*.f64 y (-.f64 z x)) 1/4))
(*.f64 (sqrt.f64 (-.f64 z x)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 z x)))
(.f64 (cbrt.f64 (.f64 y (-.f64 z x))) (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 z x)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 z x)))) (cbrt.f64 (*.f64 y (-.f64 z x))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 z x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 2)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 z x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 y (-.f64 z x)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 y (-.f64 z x))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 z x))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 1/2))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 z x))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 2) 1/2))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 z x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 z x)))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 z x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 z x)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 z x)))) (cbrt.f64 (pow.f64 (.f64 y (-.f64 z x)) 1/4))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 z x)))) (cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 1/4))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 z x))))) (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 z x))))) (.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 z x))))) (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 z x))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 z x)) 1/4)) (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 z x))))) (.f64 (cbrt.f64 (pow.f64 (.f64 y (-.f64 z x)) 1/4)) (sqrt.f64 (cbrt.f64 (*.f64 y (-.f64 z x))))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 z x)))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 z x)))) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 y (-.f64 z x)) 3/2) 1/6) (pow.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3/2) 1/6))
(/.f64 (.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 x x)))) (sqrt.f64 (+.f64 z x)))
(/.f64 (.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)))) (sqrt.f64 (fma.f64 z z (.f64 x (+.f64 z x)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 z z) (*.f64 x x))) (sqrt.f64 y)) (sqrt.f64 (+.f64 z x)))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (sqrt.f64 y)) (sqrt.f64 (fma.f64 z z (.f64 x (+.f64 z x)))))
(pow.f64 (*.f64 y (-.f64 z x)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) 1)
(pow.f64 (pow.f64 (*.f64 y (-.f64 z x)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 z x)))) 3)
(pow.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 y (-.f64 z x))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y (-.f64 z x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 y (-.f64 z x))))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y (-.f64 z x)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y (-.f64 z x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y (-.f64 z x)))))
(+.f64 (.f64 y (-.f64 z x)) (.f64 y (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (.f64 y (-.f64 z x)) (.f64 y (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (.f64 y (-.f64 z x)) (.f64 y (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (.f64 y (-.f64 z x)) (.f64 (fma.f64 (neg.f64 x) 1 x) y))
(+.f64 (.f64 y (-.f64 z x)) (.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) y))
(+.f64 (.f64 y (-.f64 z x)) (.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) y))
(+.f64 (.f64 y z) (.f64 y (neg.f64 x)))
(+.f64 (.f64 y (neg.f64 x)) (.f64 y z))
(+.f64 (.f64 1 (.f64 y z)) (.f64 1 (.f64 y (neg.f64 x))))
(+.f64 (.f64 (.f64 y z) 1) (.f64 (.f64 y (neg.f64 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 z x)))) 1)
(*.f64 y (-.f64 z x))
(*.f64 (-.f64 z x) y)
(.f64 (.f64 y (-.f64 z x)) 1)
(.f64 (sqrt.f64 (.f64 y (-.f64 z x))) (sqrt.f64 (*.f64 y (-.f64 z x))))
(.f64 1 (.f64 y (-.f64 z x)))
(.f64 (pow.f64 (.f64 y (-.f64 z x)) 1/4) (.f64 (sqrt.f64 (.f64 y (-.f64 z x))) (pow.f64 (*.f64 y (-.f64 z x)) 1/4)))
(.f64 (sqrt.f64 (-.f64 z x)) (.f64 y (sqrt.f64 (-.f64 z x))))
(.f64 (sqrt.f64 (-.f64 z x)) (.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 (-.f64 z x) (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (sqrt.f64 (-.f64 z x))))
(.f64 (cbrt.f64 (.f64 y (-.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 2))
(.f64 (cbrt.f64 (.f64 y (-.f64 z x))) (.f64 (sqrt.f64 (.f64 y (-.f64 z x))) (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 z x))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 z x))) 2) (cbrt.f64 (*.f64 y (-.f64 z x))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 z x)))) (.f64 (sqrt.f64 (.f64 y (-.f64 z x))) (cbrt.f64 (*.f64 y (-.f64 z x)))))
(.f64 (cbrt.f64 (-.f64 z x)) (.f64 y (cbrt.f64 (pow.f64 (-.f64 z x) 2))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)) (.f64 y (cbrt.f64 (-.f64 z x))))
(.f64 (cbrt.f64 y) (.f64 (-.f64 z x) (cbrt.f64 (*.f64 y y))))
(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (-.f64 z x) (cbrt.f64 y)))
(.f64 (.f64 (sqrt.f64 (.f64 y (-.f64 z x))) (pow.f64 (.f64 y (-.f64 z x)) 1/4)) (pow.f64 (*.f64 y (-.f64 z x)) 1/4))
(.f64 (.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)))
(.f64 (.f64 y (cbrt.f64 (pow.f64 (-.f64 z x) 2))) (cbrt.f64 (-.f64 z x)))
(.f64 (.f64 (-.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 (-.f64 z x) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(.f64 (.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (sqrt.f64 y)) (sqrt.f64 (-.f64 z x)))
(.f64 (.f64 (sqrt.f64 (.f64 y (-.f64 z x))) (cbrt.f64 (.f64 y (-.f64 z x)))) (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 z x)))))
(.f64 (.f64 (-.f64 z x) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(.f64 (.f64 y (cbrt.f64 (-.f64 z x))) (cbrt.f64 (pow.f64 (-.f64 z x) 2)))
(.f64 (.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (sqrt.f64 (-.f64 z x))) (sqrt.f64 y))
(.f64 (.f64 (sqrt.f64 (.f64 y (-.f64 z x))) (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 z x))))) (cbrt.f64 (*.f64 y (-.f64 z x))))
(.f64 (/.f64 (.f64 y (-.f64 (.f64 z z) (.f64 x x))) (-.f64 (.f64 z z) (.f64 x x))) (-.f64 z x))
(.f64 (/.f64 (.f64 y (-.f64 (.f64 z z) (.f64 x x))) (+.f64 (pow.f64 z 3) (pow.f64 x 3))) (+.f64 (.f64 z z) (.f64 x (-.f64 x z))))
(.f64 (/.f64 (.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (-.f64 (pow.f64 z 4) (pow.f64 (.f64 x (+.f64 z x)) 2))) (-.f64 (.f64 z z) (*.f64 x (+.f64 z x))))
(.f64 (/.f64 (.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (+.f64 (pow.f64 (.f64 z z) 3) (pow.f64 (.f64 x (+.f64 z x)) 3))) (+.f64 (pow.f64 z 4) (.f64 (.f64 x (+.f64 z x)) (-.f64 (.f64 x (+.f64 z x)) (.f64 z z)))))
(.f64 (.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (*.f64 y (-.f64 z x)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 z x)))) (cbrt.f64 (.f64 y (-.f64 z x)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 z x)))) (cbrt.f64 (*.f64 y (-.f64 z x)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 z x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 z x))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 z x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 2))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 z x))) 2)) (cbrt.f64 (sqrt.f64 (.f64 y (-.f64 z x))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 z x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 y (-.f64 z x))))))
(.f64 (.f64 (cbrt.f64 (.f64 y (-.f64 z x))) (sqrt.f64 (cbrt.f64 (.f64 y (-.f64 z x))))) (.f64 (cbrt.f64 (.f64 y (-.f64 z x))) (sqrt.f64 (cbrt.f64 (*.f64 y (-.f64 z x))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 z x))) 3/2) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 y (-.f64 z x)) 2) 1/4) (pow.f64 (pow.f64 (*.f64 y (-.f64 z x)) 2) 1/4))
(.f64 (pow.f64 (pow.f64 (.f64 y (-.f64 z x)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3) 1/6))
(/.f64 y (/.f64 1 (-.f64 z x)))
(/.f64 (-.f64 (.f64 z z) (.f64 x x)) (/.f64 (+.f64 z x) y))
(/.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) (/.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) y))
(/.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 y (+.f64 (pow.f64 z 3) (pow.f64 (neg.f64 x) 3))) (+.f64 (.f64 z z) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) z))))
(/.f64 (.f64 y (.f64 (neg.f64 (+.f64 z x)) (-.f64 z x))) (neg.f64 (+.f64 z x)))
(/.f64 (.f64 y (neg.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)))) (neg.f64 (fma.f64 z z (.f64 x (+.f64 z x)))))
(/.f64 (.f64 1 (.f64 y (-.f64 (.f64 z z) (.f64 x x)))) (+.f64 z x))
(/.f64 (.f64 1 (.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3)))) (fma.f64 z z (*.f64 x (+.f64 z x))))
(/.f64 (.f64 (.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 (.f64 z z) (.f64 x x)))) (sqrt.f64 (+.f64 z x)))
(/.f64 (.f64 (.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)))) (sqrt.f64 (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.f64 (.f64 (.f64 y (cbrt.f64 (pow.f64 (-.f64 z x) 2))) (cbrt.f64 (-.f64 (.f64 z z) (.f64 x x)))) (cbrt.f64 (+.f64 z x)))
(/.f64 (.f64 (.f64 y (cbrt.f64 (pow.f64 (-.f64 z x) 2))) (cbrt.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)))) (cbrt.f64 (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 y (-.f64 z x))) (sqrt.f64 y)) (sqrt.f64 (-.f64 (.f64 z z) (*.f64 x x)))) (sqrt.f64 (+.f64 z x)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 y (-.f64 z x))) (sqrt.f64 y)) (sqrt.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)))) (sqrt.f64 (fma.f64 z z (.f64 x (+.f64 z x)))))
(/.f64 (.f64 (+.f64 (pow.f64 z 3) (pow.f64 (neg.f64 x) 3)) y) (+.f64 (.f64 z z) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) z))))
(/.f64 (.f64 (.f64 (neg.f64 (+.f64 z x)) (-.f64 z x)) y) (neg.f64 (+.f64 z x)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3))) y) (neg.f64 (fma.f64 z z (.f64 x (+.f64 z x)))))
(/.f64 (.f64 (.f64 y (-.f64 (.f64 z z) (.f64 x x))) 1) (+.f64 z x))
(/.f64 (.f64 (.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) 1) (fma.f64 z z (*.f64 x (+.f64 z x))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 z z) (.f64 x x))) (.f64 y (sqrt.f64 (-.f64 z x)))) (sqrt.f64 (+.f64 z x)))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (.f64 y (sqrt.f64 (-.f64 z x)))) (sqrt.f64 (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.f64 (/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) 1) (+.f64 z x))
(/.f64 (/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x)))
(/.f64 (/.f64 (.f64 y (-.f64 (.f64 z z) (.f64 x x))) (.f64 (cbrt.f64 (+.f64 z x)) (cbrt.f64 (+.f64 z x)))) (cbrt.f64 (+.f64 z x)))
(/.f64 (/.f64 (.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) 1) (fma.f64 z z (.f64 x (+.f64 z x))))
(/.f64 (/.f64 (.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 z z (.f64 x (+.f64 z x))))) (sqrt.f64 (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.f64 (/.f64 (.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (.f64 (cbrt.f64 (fma.f64 z z (.f64 x (+.f64 z x)))) (cbrt.f64 (fma.f64 z z (.f64 x (+.f64 z x)))))) (cbrt.f64 (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.f64 (-.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 (.f64 y (neg.f64 x)) (.f64 y (neg.f64 x)))) (-.f64 (.f64 y z) (.f64 y (neg.f64 x))))
(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))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 z x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 z x))))
(exp.f64 (log.f64 (*.f64 y (-.f64 z x))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 z x))))

Outputs
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y x)))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y x))) (.f64 1/2 (.f64 (/.f64 z (sqrt.f64 -1)) (sqrt.f64 (/.f64 y x)))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y x)) (.f64 (*.f64 1/2 (/.f64 z (sqrt.f64 -1))) (sqrt.f64 (/.f64 y x))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y x)) (.f64 (sqrt.f64 (/.f64 y x)) (/.f64 (*.f64 1/2 z) (sqrt.f64 -1))))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y x))) (+.f64 (.f64 1/2 (.f64 (/.f64 z (sqrt.f64 -1)) (sqrt.f64 (/.f64 y x)))) (.f64 -1/8 (.f64 (/.f64 (pow.f64 z 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 y (pow.f64 x 3)))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y x)) (fma.f64 1/2 (.f64 (/.f64 z (sqrt.f64 -1)) (sqrt.f64 (/.f64 y x))) (.f64 -1/8 (.f64 (/.f64 (*.f64 z z) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 y (pow.f64 x 3)))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y x)) (fma.f64 1/2 (.f64 (/.f64 z (sqrt.f64 -1)) (sqrt.f64 (/.f64 y x))) (.f64 -1/8 (.f64 (*.f64 (/.f64 z (sqrt.f64 -1)) (/.f64 z -1)) (sqrt.f64 (/.f64 y (pow.f64 x 3)))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y x)) (fma.f64 1/2 (.f64 (/.f64 z (sqrt.f64 -1)) (sqrt.f64 (/.f64 y x))) (.f64 (sqrt.f64 (/.f64 y (pow.f64 x 3))) (.f64 -1/8 (*.f64 (/.f64 z (sqrt.f64 -1)) (/.f64 z -1))))))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y x))) (+.f64 (.f64 1/2 (.f64 (/.f64 z (sqrt.f64 -1)) (sqrt.f64 (/.f64 y x)))) (+.f64 (.f64 1/16 (.f64 (/.f64 (pow.f64 z 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 y (pow.f64 x 5))))) (.f64 -1/8 (.f64 (/.f64 (pow.f64 z 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 y (pow.f64 x 3))))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y x)) (fma.f64 1/2 (.f64 (/.f64 z (sqrt.f64 -1)) (sqrt.f64 (/.f64 y x))) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 z 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 y (pow.f64 x 5)))) (.f64 -1/8 (.f64 (/.f64 (.f64 z z) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 y (pow.f64 x 3))))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y x)) (fma.f64 1/2 (.f64 (/.f64 z (sqrt.f64 -1)) (sqrt.f64 (/.f64 y x))) (fma.f64 -1/8 (.f64 (.f64 (/.f64 z (sqrt.f64 -1)) (/.f64 z -1)) (sqrt.f64 (/.f64 y (pow.f64 x 3)))) (.f64 1/16 (.f64 (/.f64 (pow.f64 z 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 y (pow.f64 x 5))))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 y x)) (fma.f64 1/2 (.f64 (/.f64 z (sqrt.f64 -1)) (sqrt.f64 (/.f64 y x))) (fma.f64 -1/8 (.f64 (.f64 (/.f64 z (sqrt.f64 -1)) (/.f64 z -1)) (sqrt.f64 (/.f64 y (pow.f64 x 3)))) (.f64 (/.f64 (pow.f64 z 3) (pow.f64 (sqrt.f64 -1) 5)) (.f64 (sqrt.f64 (/.f64 y (pow.f64 x 5))) 1/16)))))
(sqrt.f64 (*.f64 y z))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 y z)) x)) (sqrt.f64 (*.f64 y z)))
(fma.f64 -1/2 (.f64 x (sqrt.f64 (/.f64 y z))) (sqrt.f64 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 y z)) x)) (+.f64 (sqrt.f64 (.f64 y z)) (.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 y (pow.f64 z 3))) (pow.f64 x 2)))))
(+.f64 (fma.f64 -1/2 (.f64 x (sqrt.f64 (/.f64 y z))) (sqrt.f64 (.f64 y z))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 y (pow.f64 z 3))) (*.f64 x x))))
(fma.f64 -1/2 (.f64 x (sqrt.f64 (/.f64 y z))) (fma.f64 -1/8 (.f64 x (.f64 x (sqrt.f64 (/.f64 y (pow.f64 z 3))))) (sqrt.f64 (.f64 y z))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 y z)) x)) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 y (pow.f64 z 5))) (pow.f64 x 3))) (+.f64 (sqrt.f64 (.f64 y z)) (.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 y (pow.f64 z 3))) (pow.f64 x 2))))))
(fma.f64 -1/2 (.f64 x (sqrt.f64 (/.f64 y z))) (fma.f64 -1/16 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 y (pow.f64 z 5)))) (+.f64 (sqrt.f64 (.f64 y z)) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 y (pow.f64 z 3))) (.f64 x x))))))
(fma.f64 -1/2 (.f64 x (sqrt.f64 (/.f64 y z))) (fma.f64 -1/16 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 y (pow.f64 z 5)))) (fma.f64 -1/8 (.f64 x (.f64 x (sqrt.f64 (/.f64 y (pow.f64 z 3))))) (sqrt.f64 (*.f64 y z)))))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y x))
(.f64 (.f64 y x) (pow.f64 (sqrt.f64 -1) 2))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 y z) (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x)))
(fma.f64 y z (.f64 (.f64 y x) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 z x))
(+.f64 (.f64 y z) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y x)) (.f64 (pow.f64 z 2) (+.f64 (.f64 1/4 (/.f64 y (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (.f64 -1/4 (/.f64 y (.f64 (pow.f64 (sqrt.f64 -1) 2) x)))))))
(fma.f64 y z (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y x) (.f64 (.f64 (/.f64 y (.f64 x (pow.f64 (sqrt.f64 -1) 2))) 0) (*.f64 z z))))
(+.f64 (.f64 (.f64 0 z) z) (*.f64 y (-.f64 z x)))
(+.f64 (.f64 y z) (+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 y (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))) (.f64 -1/8 (/.f64 y (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2))))) (pow.f64 z 3)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y x)) (.f64 (pow.f64 z 2) (+.f64 (.f64 1/4 (/.f64 y (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (.f64 -1/4 (/.f64 y (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))))))))
(fma.f64 y z (fma.f64 (.f64 (/.f64 y (.f64 (.f64 x x) (pow.f64 (sqrt.f64 -1) 4))) 0) (pow.f64 z 3) (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y x) (.f64 (.f64 (/.f64 y (.f64 x (pow.f64 (sqrt.f64 -1) 2))) 0) (.f64 z z)))))
(fma.f64 y z (fma.f64 (pow.f64 z 3) 0 (fma.f64 (.f64 z z) 0 (.f64 y (neg.f64 x)))))
(fma.f64 y z (fma.f64 (pow.f64 z 3) 0 (fma.f64 (neg.f64 y) x (.f64 (.f64 0 z) z))))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y x)))
(fma.f64 y z (.f64 (.f64 y x) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 z x))
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(.f64 (/.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) (fma.f64 z z (.f64 x (+.f64 x z)))) y)
(.f64 (/.f64 y (fma.f64 z z (.f64 x (+.f64 x z)))) (-.f64 (pow.f64 z 3) (pow.f64 x 3)))
(/.f64 y (/.f64 (fma.f64 z z (*.f64 x (+.f64 x z))) (-.f64 (pow.f64 z 3) (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 (.f64 y (neg.f64 x)) (.f64 y (neg.f64 x)))) (-.f64 (.f64 y z) (.f64 y (neg.f64 x))))
(/.f64 (.f64 (.f64 y (-.f64 z x)) (.f64 y (-.f64 z (neg.f64 x)))) (.f64 y (-.f64 z (neg.f64 x))))
(/.f64 (.f64 (.f64 y y) (-.f64 (.f64 z z) (.f64 x x))) (fma.f64 y z (*.f64 y x)))
(.f64 (/.f64 (.f64 y (-.f64 z x)) y) (/.f64 (*.f64 y (+.f64 x z)) (+.f64 x z)))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 2))
(pow.f64 (pow.f64 (*.f64 y (-.f64 z x)) 2) 1/2)
(fabs.f64 (*.f64 y (-.f64 z x)))
(log.f64 (pow.f64 (exp.f64 (-.f64 z x)) y))
(fma.f64 y z (.f64 (.f64 y x) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 z x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 z x)))))
(fma.f64 y z (.f64 (.f64 y x) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 z x))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3))
(fma.f64 y z (.f64 (.f64 y x) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 z x))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 z x) 3) (pow.f64 y 3)))
(fma.f64 y z (.f64 (.f64 y x) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 z x))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 z x))))
(fma.f64 y z (.f64 (.f64 y x) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 z x))
(exp.f64 (log.f64 (*.f64 y (-.f64 z x))))
(fma.f64 y z (.f64 (.f64 y x) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 z x))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 z x))))
(fma.f64 y z (.f64 (.f64 y x) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 y (-.f64 z x))

eval71.0ms (2.7%)

Compiler: Compiled 6206 to 2416 computations (61.1% saved)

prune53.0ms (2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	319	3	322
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	320	6	326

Error

Counts

326 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.6b	(-.f64 x (*.f64 y x))
✓	29.1b	(+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) 2))
✓	0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
✓	12.3b	(+.f64 x (*.f64 y z))
▶	50.4b	(*.f64 (neg.f64 y) x)
	35.7b	x

Compiler

Compiled 50 to 33 computations (34% saved)

localize4.0ms (0.2%)

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

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite62.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1514×	`add-sqr-sqrt`
1498×	`*-un-lft-identity`
1400×	`add-cube-cbrt`
1386×	`add-cbrt-cube`
1374×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	133	13
2	1861	13

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify65.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1156×	`associate-+l+`
1064×	`associate-*r/`
882×	`fma-def`
684×	`times-frac`
538×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1289
1	311	1179
2	1304	1079
3	5707	1079

Stop Event

1×	node limit

Counts

65 → 54

Calls

Call 1

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

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

eval8.0ms (0.3%)

Compiler: Compiled 639 to 213 computations (66.7% saved)

prune9.0ms (0.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	54	6	60

Error

Counts

60 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.6b	(-.f64 x (*.f64 y x))
✓	29.1b	(+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) 2))
✓	0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
✓	12.3b	(+.f64 x (*.f64 y z))
✓	50.4b	(*.f64 (neg.f64 y) x)
	35.7b	x

Compiler

Compiled 50 to 33 computations (34% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.6b	(-.f64 x (*.f64 y x))
✓	29.1b	(+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) 2))
✓	0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
✓	12.3b	(+.f64 x (*.f64 y z))
✓	50.4b	(*.f64 (neg.f64 y) x)
	35.7b	x

Compiler

Compiled 50 to 33 computations (34% saved)

regimes20.0ms (0.8%)

Counts

7 → 1

Calls

Call 1

Inputs
x
(*.f64 (neg.f64 y) x)
(+.f64 x (*.f64 y z))
(-.f64 x (*.f64 y x))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 x (*.f64 y (-.f64 z x)))
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) 2))

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

Calls

4 calls:

5.0ms	y
5.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
5.0ms	z
5.0ms	x

Results

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

Compiler

Compiled 63 to 34 computations (46% saved)

regimes39.0ms (1.5%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	x
12.0ms	z
7.0ms	y

Results

Error	Segments	Branch
7.4b	5	`x`
11.0b	2	`y`
4.7b	3	`z`

Compiler

Compiled 36 to 21 computations (41.7% saved)

bsearch20.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
8.0ms	3.0448365552720666e-121	6.369933950539921e-121
12.0ms	-4.5325231018852133e-100	-4.6008047292790255e-102

Results

17.0ms

192×

body

256

valid

Compiler

Compiled 232 to 155 computations (33.2% saved)

regimes20.0ms (0.8%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	z
6.0ms	y
3.0ms	x

Results

Error	Segments	Branch
12.3b	1	`x`
11.0b	2	`y`
11.1b	3	`z`

Compiler

Compiled 25 to 16 computations (36% saved)

bsearch55.0ms (2.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
55.0ms	3.5318871862872565e+148	6.483068809299182e+168

Results

15.0ms	176×	body	256	valid
8.0ms	97×	body	256	infinite

Compiler

Compiled 203 to 143 computations (29.6% saved)

regimes64.0ms (2.4%)

Accuracy

Total -37.6b remaining (-154.6%)

Threshold costs -37.6b (-154.6%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

51.0ms	z
8.0ms	y
4.0ms	x

Results

Error	Segments	Branch
35.7b	1	`x`
24.3b	3	`y`
34.2b	3	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch18.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	70270821.21271725	527773384041.2486
6.0ms	-2.4059489731018404	-1.6665613236371173

Results

16.0ms	192×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 172 to 131 computations (23.8% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	141
1	55	141
2	65	141
3	70	141
4	72	141

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (*.f64 y (-.f64 z x)))
(if (<=.f64 z -492525077454931/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352) (+.f64 x (.f64 y z)) (if (<=.f64 z 2442178113633239/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (-.f64 x (.f64 y x)) (+.f64 x (*.f64 y z))))
(if (<=.f64 y 28000000000000001456468825390835173995370267772493400677084806934765662528482946726180614466433200709370648966428816431751888226949824026340090813370847592875819008) (+.f64 x (.f64 y z)) (.f64 (neg.f64 y) x))
(if (<=.f64 y -7656119366529843/4503599627370496) (.f64 (neg.f64 y) x) (if (<=.f64 y 72000000) x (.f64 (neg.f64 y) x)))
x

Outputs
(+.f64 x (*.f64 y (-.f64 z x)))
(if (<=.f64 z -492525077454931/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352) (+.f64 x (.f64 y z)) (if (<=.f64 z 2442178113633239/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (-.f64 x (.f64 y x)) (+.f64 x (*.f64 y z))))
(if (or (<=.f64 z -492525077454931/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352) (not (<=.f64 z 2442178113633239/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248))) (+.f64 x (.f64 y z)) (-.f64 x (.f64 x y)))
(if (<=.f64 y 28000000000000001456468825390835173995370267772493400677084806934765662528482946726180614466433200709370648966428816431751888226949824026340090813370847592875819008) (+.f64 x (.f64 y z)) (.f64 (neg.f64 y) x))
(if (<=.f64 y 28000000000000001456468825390835173995370267772493400677084806934765662528482946726180614466433200709370648966428816431751888226949824026340090813370847592875819008) (+.f64 x (.f64 y z)) (.f64 x (neg.f64 y)))
(if (<=.f64 y -7656119366529843/4503599627370496) (.f64 (neg.f64 y) x) (if (<=.f64 y 72000000) x (.f64 (neg.f64 y) x)))
(if (or (<=.f64 y -7656119366529843/4503599627370496) (not (<=.f64 y 72000000))) (*.f64 x (neg.f64 y)) x)
x

Compiler

Compiled 69 to 45 computations (34.8% saved)

soundness0.0ms (0%)

end126.0ms (4.8%)

Compiler: Compiled 57 to 29 computations (49.1% saved)

Details

analyze283.0ms (10.8%)

sample1.1s (40.9%)

preprocess112.0ms (4.3%)

simplify43.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite60.0ms (2.3%)

simplify66.0ms (2.5%)

eval5.0ms (0.2%)

prune5.0ms (0.2%)

localize5.0ms (0.2%)

localize8.0ms (0.3%)

series2.0ms (0.1%)

rewrite55.0ms (2.1%)

simplify58.0ms (2.2%)

localize11.0ms (0.4%)

series17.0ms (0.7%)

rewrite70.0ms (2.7%)

simplify88.0ms (3.4%)

eval71.0ms (2.7%)

prune53.0ms (2%)

localize4.0ms (0.2%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite62.0ms (2.4%)

simplify65.0ms (2.5%)

eval8.0ms (0.3%)

prune9.0ms (0.4%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes20.0ms (0.8%)

regimes39.0ms (1.5%)

bsearch20.0ms (0.7%)

regimes20.0ms (0.8%)

bsearch55.0ms (2.1%)

regimes64.0ms (2.4%)

bsearch18.0ms (0.7%)

simplify7.0ms (0.3%)

soundness0.0ms (0%)

end126.0ms (4.8%)

Profiling