Details

analyze171.0ms (9.8%)

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample890.0ms (50.7%)

Results

778.0ms	8256×	body	256	valid
97.0ms	1112×	body	256	infinite

Bogosity

preprocess22.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

188×	`fma-def_binary64`
24×	`+-commutative_binary64`
22×	`distribute-rgt-in_binary64`
18×	`*-commutative_binary64`
16×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	42	32
2	130	32
3	181	32
4	200	32
5	226	32
6	250	32
7	322	32
8	395	32
9	414	32
10	418	32
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 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)

simplify9.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

66×	`fma-def_binary64`
8×	`+-commutative_binary64`
8×	`associate-r_binary64`
8×	`associate-l_binary64`
6×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	16	8
2	35	8
3	50	8
4	59	8
5	66	8
6	72	8
7	91	8
8	107	8
9	121	8
10	139	8
11	146	8
12	147	8

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

Counts

4 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

localize6.0ms (0.4%)

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)

series5.0ms (0.3%)

Counts

1 → 24

Calls

9 calls:

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

rewrite42.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`pow1_binary64`
725×	`add-log-exp_binary64`
725×	`log1p-expm1-u_binary64`
725×	`expm1-log1p-u_binary64`
706×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	134	7
2	1983	7

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

simplify40.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

535×	`associate-/r*_binary64`
310×	`fma-def_binary64`
256×	`fma-neg_binary64`
238×	`div-sub_binary64`
215×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	393
1	234	390
2	951	389
3	3959	384

Stop Event

1×	node limit

Counts

48 → 35

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

eval8.0ms (0.4%)

Compiler: Compiled 527 to 205 computations (61.1% saved)

prune6.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	3	36

Error

Counts

36 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(+.f64 x (*.f64 y (+.f64 z x)))
▶	13.5b	(+.f64 x (*.f64 y z))
▶	21.6b	(+.f64 x (*.f64 y x))

Compiler

Compiled 26 to 16 computations (38.5% 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)

series4.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite41.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`pow1_binary64`
595×	`add-log-exp_binary64`
594×	`log1p-expm1-u_binary64`
594×	`expm1-log1p-u_binary64`
582×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	111	5
2	1616	5

Stop Event

1×	node limit

Counts

1 → 40

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 (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 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (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 (fma.f64 x x (.f64 (.f64 x y) (-.f64 (.f64 x y) 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 y 1) 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) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 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 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 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 (+.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 (.f64 x x) (pow.f64 (.f64 x y) 2)) (-.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 /.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 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x x)) (-.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 (pow.f64 (fma.f64 x y x) 3) 1/3)))) (#(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 (sqrt.f64 (fma.f64 x y x)) 2)))) (#(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 log1p.f64 (expm1.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 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 (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)))) (#(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)))))

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 (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 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (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 (fma.f64 x x (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) 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 y 1) 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) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 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 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 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 (+.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 (*.f64 x x) (pow.f64 (*.f64 x y) 2)) (-.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 /.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 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (-.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 (pow.f64 (fma.f64 x y x) 3) 1/3)))) (#(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 (sqrt.f64 (fma.f64 x y x)) 2)))) (#(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 log1p.f64 (expm1.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 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 (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)))) (#(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)))))

simplify42.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

553×	`fma-neg_binary64`
474×	`div-sub_binary64`
434×	`cancel-sign-sub-inv_binary64`
281×	`distribute-rgt-neg-in_binary64`
253×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	101	464
1	251	444
2	845	444
3	3825	444

Stop Event

1×	node limit

Counts

64 → 49

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

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

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

rewrite42.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
661×	`add-log-exp_binary64`
661×	`log1p-expm1-u_binary64`
661×	`expm1-log1p-u_binary64`
646×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	5
2	1779	5

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify43.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

700×	`fma-neg_binary64`
479×	`associate-l_binary64`
439×	`associate-r_binary64`
431×	`div-sub_binary64`
238×	`log-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	85	484
1	218	469
2	732	469
3	4816	469

Stop Event

1×	node limit

Counts

71 → 41

Calls

Call 1

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

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

eval16.0ms (0.9%)

Compiler: Compiled 1035 to 380 computations (63.3% saved)

prune15.0ms (0.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	87	3	90
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	87	6	93

Error

Counts

93 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(+.f64 x (*.f64 y (+.f64 z x)))
✓	13.5b	(+.f64 x (*.f64 y z))
✓	21.6b	(+.f64 x (*.f64 y x))
▶	40.9b	(*.f64 y z)
▶	49.6b	(*.f64 y x)
	34.8b	x

Compiler

Compiled 42 to 27 computations (35.7% saved)

localize3.0ms (0.2%)

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

localize3.0ms (0.2%)

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

eval0.0ms (0%)

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

prune3.0ms (0.2%)

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
✓	0b	(+.f64 x (*.f64 y (+.f64 z x)))
✓	13.5b	(+.f64 x (*.f64 y z))
✓	21.6b	(+.f64 x (*.f64 y x))
✓	40.9b	(*.f64 y z)
✓	49.6b	(*.f64 y x)
	34.8b	x

Compiler

Compiled 42 to 27 computations (35.7% 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
✓	0b	(+.f64 x (*.f64 y (+.f64 z x)))
✓	13.5b	(+.f64 x (*.f64 y z))
✓	21.6b	(+.f64 x (*.f64 y x))
✓	40.9b	(*.f64 y z)
✓	49.6b	(*.f64 y x)
	34.8b	x

Compiler

Compiled 42 to 27 computations (35.7% saved)

regimes20.0ms (1.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 49 to 25 computations (49% saved)

regimes37.0ms (2.1%)

Counts

5 → 3

Calls

Call 1

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

16.0ms	x
12.0ms	z
8.0ms	y

Results

Error	Segments	Branch
7.0b	3	`x`
11.3b	2	`y`
6.0b	3	`z`

Compiler

Compiled 32 to 16 computations (50% saved)

bsearch20.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	5.130853233736154e-118	9.269982169091774e-117
9.0ms	-9.986229607661028e-16	-2.6033201767196745e-16

Results

18.0ms

192×

body

256

valid

Compiler

Compiled 232 to 155 computations (33.2% saved)

regimes38.0ms (2.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	z
11.0ms	x
10.0ms	y

Results

Error	Segments	Branch
13.7b	3	`x`
20.2b	3	`y`
15.3b	5	`z`

Compiler

Compiled 27 to 15 computations (44.4% saved)

bsearch24.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	1.1171823247552601e-154	9.078583545934061e-153
13.0ms	-3.1302042476379074e-224	-9.557545204209149e-228

Results

22.0ms

240×

body

256

valid

Compiler

Compiled 256 to 176 computations (31.3% saved)

regimes55.0ms (3.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	x
21.0ms	z
9.0ms	y

Results

Error	Segments	Branch
23.0b	7	`x`
21.4b	3	`y`
26.7b	7	`z`

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch26.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	2.527510759088237e-60	6.471565948210911e-59
15.0ms	-28.18592980586157	-6.223524740116583e-5

Results

23.0ms

256×

body

256

valid

Compiler

Compiled 208 to 155 computations (25.5% saved)

regimes31.0ms (1.8%)

Accuracy

Total -39.5b remaining (-175.9%)

Threshold costs -39.5b (-175.9%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 y x)

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

Calls

3 calls:

13.0ms	z
9.0ms	x
8.0ms	y

Results

Error	Segments	Branch
33.6b	3	`x`
22.5b	3	`y`
32.4b	5	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch29.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	6.9946455214741625e-6	88.12643519102926
14.0ms	-28.18592980586157	-6.223524740116583e-5

Results

25.0ms

288×

body

256

valid

Compiler

Compiled 232 to 173 computations (25.4% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
3×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	116
1	43	116

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (*.f64 y (+.f64 z x)))
(if (<=.f64 z -5476250592985951/20282409603651670423947251286016) (+.f64 x (.f64 y z)) (if (<=.f64 z 3747762172149223/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (+.f64 x (.f64 y x)) (+.f64 x (*.f64 y z))))
(if (<=.f64 x -6459638981852359/208375451027495446064995368460039306160773697572372130012383056617626163681801002235044756277236071585716559706044788763934025051691230158761354876635338438940473674359812954951971196434744188272780156754246456311927835876171139415348871168) (+.f64 x (.f64 y x)) (if (<=.f64 x 6604434243437697/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744) (.f64 y z) (+.f64 x (*.f64 y x))))
(if (<=.f64 y -1) (.f64 y x) (if (<=.f64 y 1724442735223703/28269553036454149273332760011886696253239742350009903329945699220681916416) x (.f64 y z)))
(if (<=.f64 y -1) (.f64 y x) (if (<=.f64 y 1) x (.f64 y x)))
x

Outputs
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 x z)))
(if (<=.f64 z -5476250592985951/20282409603651670423947251286016) (+.f64 x (.f64 y z)) (if (<=.f64 z 3747762172149223/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (+.f64 x (.f64 y x)) (+.f64 x (*.f64 y z))))
(if (<=.f64 z -5476250592985951/20282409603651670423947251286016) (+.f64 x (.f64 y z)) (if (<=.f64 z 3747762172149223/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (+.f64 x (.f64 x y)) (+.f64 x (*.f64 y z))))
(if (<=.f64 x -6459638981852359/208375451027495446064995368460039306160773697572372130012383056617626163681801002235044756277236071585716559706044788763934025051691230158761354876635338438940473674359812954951971196434744188272780156754246456311927835876171139415348871168) (+.f64 x (.f64 y x)) (if (<=.f64 x 6604434243437697/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744) (.f64 y z) (+.f64 x (*.f64 y x))))
(if (<=.f64 x -6459638981852359/208375451027495446064995368460039306160773697572372130012383056617626163681801002235044756277236071585716559706044788763934025051691230158761354876635338438940473674359812954951971196434744188272780156754246456311927835876171139415348871168) (+.f64 x (.f64 x y)) (if (<=.f64 x 6604434243437697/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744) (.f64 y z) (+.f64 x (*.f64 x y))))
(if (<=.f64 y -1) (.f64 y x) (if (<=.f64 y 1724442735223703/28269553036454149273332760011886696253239742350009903329945699220681916416) x (.f64 y z)))
(if (<=.f64 y -1) (.f64 x y) (if (<=.f64 y 1724442735223703/28269553036454149273332760011886696253239742350009903329945699220681916416) x (.f64 y z)))
(if (<=.f64 y -1) (.f64 y x) (if (<=.f64 y 1) x (.f64 y x)))
(if (<=.f64 y -1) (.f64 x y) (if (<=.f64 y 1) x (.f64 x y)))
x

Compiler

Compiled 100 to 55 computations (45% saved)

soundness0.0ms (0%)

end40.0ms (2.3%)

Compiler: Compiled 85 to 34 computations (60% saved)

Iter	Nodes	Cost
0	16	40
1	42	32
2	130	32
3	181	32
4	200	32
5	226	32
6	250	32
7	322	32
8	395	32
9	414	32
10	418	32
0	3	3

Iter	Nodes	Cost
0	7	10
1	16	8
2	35	8
3	50	8
4	59	8
5	66	8
6	72	8
7	91	8
8	107	8
9	121	8
10	139	8
11	146	8
12	147	8

Iter	Nodes	Cost
0	16	40
1	42	32
2	130	32
3	181	32
4	200	32
5	226	32
6	250	32
7	322	32
8	395	32
9	414	32
10	418	32
0	3	3

Iter	Nodes	Cost
0	7	10
1	16	8
2	35	8
3	50	8
4	59	8
5	66	8
6	72	8
7	91	8
8	107	8
9	121	8
10	139	8
11	146	8
12	147	8

Details

analyze171.0ms (9.8%)

sample890.0ms (50.7%)

preprocess22.0ms (1.2%)

simplify9.0ms (0.5%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize6.0ms (0.4%)

series5.0ms (0.3%)

rewrite42.0ms (2.4%)

simplify40.0ms (2.3%)

eval8.0ms (0.4%)

prune6.0ms (0.4%)

localize5.0ms (0.3%)

series4.0ms (0.2%)

rewrite41.0ms (2.3%)

simplify42.0ms (2.4%)

localize7.0ms (0.4%)

series3.0ms (0.2%)

rewrite42.0ms (2.4%)

simplify43.0ms (2.5%)

eval16.0ms (0.9%)

prune15.0ms (0.9%)

localize3.0ms (0.2%)

localize3.0ms (0.2%)

eval0.0ms (0%)

prune3.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes20.0ms (1.1%)

regimes37.0ms (2.1%)

bsearch20.0ms (1.2%)

regimes38.0ms (2.2%)

bsearch24.0ms (1.4%)

regimes55.0ms (3.1%)

bsearch26.0ms (1.5%)

regimes31.0ms (1.8%)

bsearch29.0ms (1.6%)

simplify5.0ms (0.3%)

soundness0.0ms (0%)

end40.0ms (2.3%)

Profiling

Iter	Nodes	Cost
0	16	40
1	42	32
2	130	32
3	181	32
4	200	32
5	226	32
6	250	32
7	322	32
8	395	32
9	414	32
10	418	32
0	3	3

Iter	Nodes	Cost
0	7	10
1	16	8
2	35	8
3	50	8
4	59	8
5	66	8
6	72	8
7	91	8
8	107	8
9	121	8
10	139	8
11	146	8
12	147	8