Details

analyze265.0ms (14.3%)

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%	46.8%	43.2%	0.1%	9.8%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample924.0ms (50%)

Results

815.0ms	8256×	body	256	valid
98.0ms	1113×	body	256	infinite

Bogosity

preprocess16.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

328×	`fma-def`
58×	`*-commutative`
58×	`+-commutative`
34×	`associate-r`
34×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	42	60
2	104	60
3	151	60
4	171	60
5	197	60
6	227	60
7	306	60
8	374	60
9	385	60
10	389	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)))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(+.f64 y (*.f64 x (+.f64 z y)))
(+.f64 y (*.f64 x (+.f64 y z)))
(fma.f64 x (+.f64 y z) y)
(+.f64 z (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) z)
(+.f64 x (*.f64 z (+.f64 y x)))
(+.f64 x (*.f64 z (+.f64 x y)))
(fma.f64 z (+.f64 x y) x)

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify17.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

96×	`fma-def`
34×	`*-commutative`
32×	`associate-r`
32×	`associate-l`
18×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	17	15
2	28	15
3	41	15
4	51	15
5	58	15
6	66	15
7	85	15
8	113	15
9	127	15
10	153	15
11	158	15
12	159	15

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 23 to 10 computations (56.5% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	2	4

Error

0.0b

Counts

4 → 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 (0.3%)

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	y	@	0	(*.f64 y (+.f64 z x))
0.0ms	z	@	-inf	(*.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))

rewrite64.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1770×	`add-sqr-sqrt`
1754×	`*-un-lft-identity`
1640×	`add-cube-cbrt`
1612×	`add-cbrt-cube`
166×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	154	13
2	2152	13

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y z) (.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y x) (.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y z) 1) (.f64 (.f64 y 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 (.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 x z))))))) (#(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 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 (.f64 y x) (.f64 y x))) (-.f64 (.f64 y z) (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 y x) 3)) (+.f64 (.f64 (.f64 y z) (.f64 y z)) (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 y z) (.f64 y 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))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (.f64 y x))))))

Outputs

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

simplify51.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1538×	`associate-/r*`
804×	`associate-*r/`
714×	`associate-+r+`
610×	`associate-+l+`
582×	`associate-*l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	738
1	227	732
2	922	730
3	3692	720

Stop Event

1×	node limit

Counts

48 → 34

Calls

Call 1

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

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

eval6.0ms (0.3%)

Compiler: Compiled 505 to 187 computations (63% saved)

prune9.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	4	35

Error

Counts

35 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 y x)))
✓	0.0b	(+.f64 x (*.f64 y (+.f64 z x)))
▶	12.5b	(+.f64 x (*.f64 y z))
▶	24.1b	(+.f64 x (*.f64 y x))

Compiler

Compiled 38 to 23 computations (39.5% saved)

localize5.0ms (0.3%)

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)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1488×	`add-sqr-sqrt`
1472×	`*-un-lft-identity`
1376×	`add-cube-cbrt`
1362×	`add-cbrt-cube`
1352×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	131	9
2	1820	9

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

simplify57.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1070×	`associate-+r+`
886×	`associate-+l+`
712×	`*-commutative`
590×	`distribute-lft-neg-in`
586×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	106	1077
1	258	1037
2	1023	1037
3	3862	1037

Stop Event

1×	node limit

Counts

65 → 51

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

localize6.0ms (0.3%)

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

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 28 to 7 computations (75% saved)

series3.0ms (0.2%)

Counts

1 → 18

Calls

9 calls:

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

rewrite58.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1902×	`add-sqr-sqrt`
1886×	`*-un-lft-identity`
1756×	`add-cube-cbrt`
1738×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	172	13
2	2330	13

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

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

simplify60.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1140×	`associate-+r+`
1104×	`times-frac`
978×	`associate-+l+`
542×	`associate-/l*`
522×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	113	1333
1	316	1283
2	1284	1283
3	5701	1283

Stop Event

1×	node limit

Counts

61 → 50

Calls

Call 1

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

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

eval20.0ms (1.1%)

Compiler: Compiled 1337 to 496 computations (62.9% saved)

prune15.0ms (0.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	99	6	105

Error

Counts

105 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 y x)))
✓	0.0b	(+.f64 x (*.f64 y (+.f64 z x)))
✓	12.5b	(+.f64 x (*.f64 y z))
✓	24.1b	(+.f64 x (*.f64 y x))
▶	50.9b	(*.f64 y x)
	35.7b	x

Compiler

Compiled 48 to 30 computations (37.5% saved)

localize3.0ms (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

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	4	4
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 y x)))
✓	0.0b	(+.f64 x (*.f64 y (+.f64 z x)))
✓	12.5b	(+.f64 x (*.f64 y z))
✓	24.1b	(+.f64 x (*.f64 y x))
✓	50.9b	(*.f64 y x)
	35.7b	x

Compiler

Compiled 48 to 30 computations (37.5% saved)

eval0.0ms (0%)

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

prune3.0ms (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
✓	0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 y x)))
✓	0.0b	(+.f64 x (*.f64 y (+.f64 z x)))
✓	12.5b	(+.f64 x (*.f64 y z))
✓	24.1b	(+.f64 x (*.f64 y x))
✓	50.9b	(*.f64 y x)
	35.7b	x

Compiler

Compiled 48 to 30 computations (37.5% saved)

regimes19.0ms (1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	z
5.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
4.0ms	x
4.0ms	y

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 55 to 27 computations (50.9% saved)

regimes52.0ms (2.8%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	y
15.0ms	z
14.0ms	x

Results

Error	Segments	Branch
8.3b	3	`x`
8.1b	6	`y`
5.2b	3	`z`

Compiler

Compiled 29 to 16 computations (44.8% saved)

bsearch25.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	2.8822408271322433e-97	1.568096895106796e-92
13.0ms	-5.6938268006234755e-77	-3.7187482996639604e-81

Results

22.0ms

256×

body

256

valid

Compiler

Compiled 304 to 203 computations (33.2% saved)

regimes12.0ms (0.6%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	z
3.0ms	x
3.0ms	y

Results

Error	Segments	Branch
24.1b	1	`x`
24.1b	1	`y`
24.1b	1	`z`

Compiler

Compiled 24 to 14 computations (41.7% saved)

regimes19.0ms (1%)

Accuracy

Total -37.2b remaining (-150.1%)

Threshold costs -37.2b (-150.1%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 y x)

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

Calls

3 calls:

8.0ms	z
8.0ms	y
3.0ms	x

Results

Error	Segments	Branch
35.7b	1	`x`
24.8b	3	`y`
33.5b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch26.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	2.3736689357177262e-5	0.0001994258268993244
17.0ms	-4.7352109019295957e+33	-192366812514714800.0

Results

22.0ms	256×	body	256	valid
1.0ms	7×	body	256	infinite

Compiler

Compiled 208 to 155 computations (25.5% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
6×	`*-commutative`
4×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	117
1	42	117

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (*.f64 y (+.f64 z x)))
(if (<=.f64 z -3203980553881365/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536) (+.f64 x (.f64 y z)) (if (<=.f64 z 8266869891363893/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (+.f64 x (.f64 y x)) (+.f64 x (*.f64 y z))))
(+.f64 x (*.f64 y x))
(if (<=.f64 y -200000000000000000) (.f64 y x) (if (<=.f64 y 7194230188746725/36893488147419103232) x (.f64 y x)))
x

Outputs
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 x z)))
(if (<=.f64 z -3203980553881365/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536) (+.f64 x (.f64 y z)) (if (<=.f64 z 8266869891363893/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (+.f64 x (.f64 y x)) (+.f64 x (*.f64 y z))))
(if (or (<=.f64 z -3203980553881365/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536) (not (<=.f64 z 8266869891363893/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232))) (+.f64 x (.f64 y z)) (+.f64 x (.f64 x y)))
(+.f64 x (*.f64 y x))
(+.f64 x (*.f64 x y))
(if (<=.f64 y -200000000000000000) (.f64 y x) (if (<=.f64 y 7194230188746725/36893488147419103232) x (.f64 y x)))
(if (<=.f64 y -200000000000000000) (.f64 x y) (if (<=.f64 y 7194230188746725/36893488147419103232) x (.f64 x y)))
x

Compiler

Compiled 62 to 38 computations (38.7% saved)

soundness0.0ms (0%)

end29.0ms (1.6%)

Compiler: Compiled 50 to 23 computations (54% saved)

Iter	Nodes	Cost
0	17	76
1	42	60
2	104	60
3	151	60
4	171	60
5	197	60
6	227	60
7	306	60
8	374	60
9	385	60
10	389	60
0	3	3

Iter	Nodes	Cost
0	8	19
1	17	15
2	28	15
3	41	15
4	51	15
5	58	15
6	66	15
7	85	15
8	113	15
9	127	15
10	153	15
11	158	15
12	159	15

Iter	Nodes	Cost
0	17	76
1	42	60
2	104	60
3	151	60
4	171	60
5	197	60
6	227	60
7	306	60
8	374	60
9	385	60
10	389	60
0	3	3

Iter	Nodes	Cost
0	8	19
1	17	15
2	28	15
3	41	15
4	51	15
5	58	15
6	66	15
7	85	15
8	113	15
9	127	15
10	153	15
11	158	15
12	159	15

Details

analyze265.0ms (14.3%)

sample924.0ms (50%)

preprocess16.0ms (0.9%)

simplify17.0ms (0.9%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize6.0ms (0.3%)

series3.0ms (0.1%)

rewrite64.0ms (3.4%)

simplify51.0ms (2.8%)

eval6.0ms (0.3%)

prune9.0ms (0.5%)

localize5.0ms (0.3%)

series2.0ms (0.1%)

rewrite57.0ms (3.1%)

simplify57.0ms (3.1%)

localize6.0ms (0.3%)

localize8.0ms (0.4%)

series3.0ms (0.2%)

rewrite58.0ms (3.1%)

simplify60.0ms (3.3%)

eval20.0ms (1.1%)

prune15.0ms (0.8%)

localize3.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes19.0ms (1%)

regimes52.0ms (2.8%)

bsearch25.0ms (1.4%)

regimes12.0ms (0.6%)

regimes19.0ms (1%)

bsearch26.0ms (1.4%)

simplify6.0ms (0.3%)

soundness0.0ms (0%)

end29.0ms (1.6%)

Profiling

Iter	Nodes	Cost
0	17	76
1	42	60
2	104	60
3	151	60
4	171	60
5	197	60
6	227	60
7	306	60
8	374	60
9	385	60
10	389	60
0	3	3

Iter	Nodes	Cost
0	8	19
1	17	15
2	28	15
3	41	15
4	51	15
5	58	15
6	66	15
7	85	15
8	113	15
9	127	15
10	153	15
11	158	15
12	159	15