Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample837.0ms (48.8%)

Results

826.0ms

8256×

body

256

valid

Bogosity

preprocess4.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

2×	`1-exp`
2×	`fma-def`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	13	15
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))

Outputs
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 x (fma.f64 x x 1))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify24.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`fma-def`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	13	15

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))

Outputs
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 x (fma.f64 x x 1))

eval0.0ms (0%)

Compiler: Compiled 14 to 8 computations (42.9% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

23.31%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.31%	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	23.31%	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 18 to 8 computations (55.6% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 x (+.f64 (*.f64 x x) 1))
0.0ms	x	@	0	(/.f64 x (+.f64 (*.f64 x x) 1))
0.0ms	x	@	-inf	(/.f64 x (+.f64 (*.f64 x x) 1))

rewrite57.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1572×	`add-sqr-sqrt`
1552×	`*-un-lft-identity`
1454×	`add-cube-cbrt`
1440×	`add-cbrt-cube`
1432×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	151	15
2	2029	15

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))

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

Outputs

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

simplify57.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1542×	`associate-+r+`
1334×	`associate-+l+`
1180×	`distribute-lft-in`
626×	`associate-+l-`
540×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	1335
1	307	1171
2	1038	1019
3	4111	1019

Stop Event

1×	node limit

Counts

45 → 67

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (.f64 -1 (pow.f64 x 7)) x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x x 1))) 1)
(*.f64 x (/.f64 1 (fma.f64 x x 1)))
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) (/.f64 (sqrt.f64 x) (hypot.f64 1 x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x x 1))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))
(.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1)
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x x 1))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x x 1))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))

Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))
(+.f64 (-.f64 x (pow.f64 x 3)) (pow.f64 x 5))
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (.f64 -1 (pow.f64 x 7)) x)))
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) x)))
(-.f64 (+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 7))) (pow.f64 x 3))
(+.f64 (-.f64 x (pow.f64 x 7)) (-.f64 (pow.f64 x 5) (pow.f64 x 3)))
(+.f64 x (-.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (pow.f64 x 3)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7))) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 5)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7))) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x x 1))) 1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 x (/.f64 1 (fma.f64 x x 1)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) (/.f64 (sqrt.f64 x) (hypot.f64 1 x)))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 x 4))) (fma.f64 x x -1))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x))))
(/.f64 (+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3))) (+.f64 1 (pow.f64 x 6)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1)))) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)))
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x x 1))) 1))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))

eval17.0ms (1%)

Compiler: Compiled 800 to 549 computations (31.4% saved)

prune10.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	63	4	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	5	68

Error

Counts

68 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.31%	(/.f64 x (+.f64 (*.f64 x x) 1))
▶	47.29%	(/.f64 1 x)
▶	51.19%	(-.f64 x (pow.f64 x 3))
▶	23.38%	(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
	49.71%	x

Compiler

Compiled 29 to 19 computations (34.5% saved)

localize9.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.68%	(/.f64 1 (fma.f64 x x 1))
✓	22.59%	(*.f64 (/.f64 1 (fma.f64 x x 1)) x)

Compiler

Compiled 21 to 13 computations (38.1% saved)

series1.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
0.0ms	x	@	inf	(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
0.0ms	x	@	inf	(/.f64 1 (fma.f64 x x 1))
0.0ms	x	@	0	(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
0.0ms	x	@	0	(/.f64 1 (fma.f64 x x 1))

rewrite80.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1476×	`add-sqr-sqrt`
1460×	`*-un-lft-identity`
1354×	`add-cube-cbrt`
1334×	`add-cbrt-cube`
1318×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	158	30
2	1866	30

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
(/.f64 1 (fma.f64 x x 1))

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

Outputs

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

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

simplify69.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1496×	`associate-/r/`
1110×	`associate-r`
966×	`associate-l`
662×	`unswap-sqr`
638×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1982
1	352	1700
2	1120	1404
3	5742	1404

Stop Event

1×	node limit

Counts

68 → 101

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (.f64 -1 (pow.f64 x 7)) x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)))
(+.f64 (.f64 -1 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x x 1))) 1)
(/.f64 1 (/.f64 (fma.f64 x x 1) x))
(/.f64 x (fma.f64 x x 1))
(/.f64 (sqrt.f64 x) (/.f64 (fma.f64 x x 1) (sqrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (fma.f64 x x 1) (cbrt.f64 x)))
(/.f64 (*.f64 x -1) (neg.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 -1 x) (neg.f64 (fma.f64 x x 1)))
(/.f64 (/.f64 x 1) (fma.f64 x x 1))
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 x x 1)))
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x x 1))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x x 1)))
(*.f64 (/.f64 1 (fma.f64 x x 1)) 1)
(*.f64 (pow.f64 (fma.f64 x x 1) -1/2) (pow.f64 (fma.f64 x x 1) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x x 1))))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x x 1))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -1))
(pow.f64 (fma.f64 x x 1) -1)
(pow.f64 (/.f64 1 (fma.f64 x x 1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x 1) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x 1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x x 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x x 1) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x x 1))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x 1))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x x 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x 1)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x 1))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x 1))))

Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))
(+.f64 (-.f64 x (pow.f64 x 3)) (pow.f64 x 5))
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (.f64 -1 (pow.f64 x 7)) x)))
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) x)))
(-.f64 (+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 7))) (pow.f64 x 3))
(+.f64 x (-.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 3)) (pow.f64 x 7)))
(+.f64 x (-.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 7) (pow.f64 x 3))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7))) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7))) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7)))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)))
(+.f64 1 (fma.f64 -1 (*.f64 x x) (pow.f64 x 4)))
(+.f64 1 (-.f64 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 (*.f64 x x) (fma.f64 x x -1) 1)
(+.f64 (.f64 -1 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))))
(fma.f64 -1 (pow.f64 x 6) (+.f64 1 (fma.f64 -1 (*.f64 x x) (pow.f64 x 4))))
(-.f64 (+.f64 1 (-.f64 (pow.f64 x 4) (*.f64 x x))) (pow.f64 x 6))
(fma.f64 (*.f64 x x) (fma.f64 x x -1) (-.f64 1 (pow.f64 x 6)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 6))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 8)))))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 6)))) (/.f64 -1 (pow.f64 x 8)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 6))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 8)))))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 6)))) (/.f64 -1 (pow.f64 x 8)))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x x 1))) 1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(/.f64 1 (/.f64 (fma.f64 x x 1) x))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(/.f64 x (fma.f64 x x 1))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 (sqrt.f64 x) (/.f64 (fma.f64 x x 1) (sqrt.f64 x)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (fma.f64 x x 1) (cbrt.f64 x)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(/.f64 (*.f64 x -1) (neg.f64 (fma.f64 x x 1)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(/.f64 (*.f64 -1 x) (neg.f64 (fma.f64 x x 1)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(/.f64 (/.f64 x 1) (fma.f64 x x 1))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 x x 1))) (sqrt.f64 (fma.f64 x x 1)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (fma.f64 x x 1)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 x x 1)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) 2)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x x 1))) 1))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 x x 1))) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x x 1)) 0)
(pow.f64 (hypot.f64 1 x) -2)
(*.f64 1 (/.f64 1 (fma.f64 x x 1)))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x x 1)) 0)
(pow.f64 (hypot.f64 1 x) -2)
(*.f64 (/.f64 1 (fma.f64 x x 1)) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x x 1)) 0)
(pow.f64 (hypot.f64 1 x) -2)
(*.f64 (pow.f64 (fma.f64 x x 1) -1/2) (pow.f64 (fma.f64 x x 1) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x x 1)) 0)
(pow.f64 (hypot.f64 1 x) -2)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (fma.f64 x x 1)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) -2)) (cbrt.f64 (fma.f64 x x 1)))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x x 1)) 0)
(pow.f64 (hypot.f64 1 x) -2)
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 x x 1)) -1))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x x 1)) 0)
(pow.f64 (hypot.f64 1 x) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) -1))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x x 1)) 0)
(pow.f64 (hypot.f64 1 x) -2)
(pow.f64 (fma.f64 x x 1) -1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x x 1)) 0)
(pow.f64 (hypot.f64 1 x) -2)
(pow.f64 (/.f64 1 (fma.f64 x x 1)) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x x 1)) 0)
(pow.f64 (hypot.f64 1 x) -2)
(pow.f64 (pow.f64 (fma.f64 x x 1) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x x 1)) 0)
(pow.f64 (hypot.f64 1 x) -2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x 1))) 3)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x x 1)) 0)
(pow.f64 (hypot.f64 1 x) -2)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x x 1)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x x 1)) 0)
(pow.f64 (hypot.f64 1 x) -2)
(sqrt.f64 (pow.f64 (fma.f64 x x 1) -2))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x x 1)) 0)
(pow.f64 (hypot.f64 1 x) -2)
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x x 1)) 0)
(pow.f64 (hypot.f64 1 x) -2)
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x 1)) 3))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x x 1)) 0)
(pow.f64 (hypot.f64 1 x) -2)
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x x 1)) 0)
(pow.f64 (hypot.f64 1 x) -2)
(exp.f64 (neg.f64 (log.f64 (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x x 1)) 0)
(pow.f64 (hypot.f64 1 x) -2)
(exp.f64 (*.f64 (log.f64 (fma.f64 x x 1)) -1))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x x 1)) 0)
(pow.f64 (hypot.f64 1 x) -2)
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x 1))) 1))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x x 1)) 0)
(pow.f64 (hypot.f64 1 x) -2)
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x x 1)) 0)
(pow.f64 (hypot.f64 1 x) -2)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 x (pow.f64 x 3))

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(-.f64 x (pow.f64 x 3))
0.0ms	x	@	inf	(-.f64 x (pow.f64 x 3))
0.0ms	x	@	0	(-.f64 x (pow.f64 x 3))

rewrite76.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1386×	`add-sqr-sqrt`
1360×	`*-un-lft-identity`
1288×	`add-cube-cbrt`
1278×	`add-cbrt-cube`
1264×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	138	13
2	1740	13

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(-.f64 x (pow.f64 x 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (*.f64 x x)) x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (pow.f64 x 3)) 1 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (pow.f64 x 3/2)) (pow.f64 x 3/2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 x) (*.f64 x x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (pow.f64 x 3))) (sqrt.f64 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 2) (cbrt.f64 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (/.f64 1 (+.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (pow.f64 x 3/2)) (-.f64 (sqrt.f64 x) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (pow.f64 x 3)) (-.f64 (*.f64 x x) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4))) (-.f64 (pow.f64 x 3) (pow.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (+.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3)))) (-.f64 x (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3))) (*.f64 x (neg.f64 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 6))) (neg.f64 (+.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (pow.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (pow.f64 x 3)))))))

simplify60.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1650×	`associate-*r/`
978×	`associate-*l/`
944×	`associate-+l+`
898×	`*-commutative`
696×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	107	868
1	278	830
2	1158	830
3	4663	830

Stop Event

1×	node limit

Counts

50 → 49

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(+.f64 x (*.f64 (neg.f64 (pow.f64 x 3)) 1))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (*.f64 x x)) x (pow.f64 x 3)))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (pow.f64 x 3)) 1 (pow.f64 x 3)))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (pow.f64 x 3/2)) (pow.f64 x 3/2) (pow.f64 x 3)))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 x) (*.f64 x x) (pow.f64 x 3)))
(+.f64 (neg.f64 (pow.f64 x 3)) x)
(.f64 x (-.f64 1 (.f64 x x)))
(*.f64 (-.f64 x (pow.f64 x 3)) 1)
(*.f64 1 (-.f64 x (pow.f64 x 3)))
(*.f64 (sqrt.f64 (-.f64 x (pow.f64 x 3))) (sqrt.f64 (-.f64 x (pow.f64 x 3))))
(*.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 2) (cbrt.f64 (-.f64 x (pow.f64 x 3))))
(.f64 (-.f64 (.f64 x x) (pow.f64 x 6)) (/.f64 1 (+.f64 x (pow.f64 x 3))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4)))))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 x 3/2)) (-.f64 (sqrt.f64 x) (pow.f64 x 3/2)))
(/.f64 1 (/.f64 (+.f64 x (pow.f64 x 3)) (-.f64 (*.f64 x x) (pow.f64 x 6))))
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4))) (-.f64 (pow.f64 x 3) (pow.f64 x 9))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (+.f64 x (pow.f64 x 3)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4))))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3)))) (-.f64 x (neg.f64 (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (pow.f64 x 3)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3))) (*.f64 x (neg.f64 (pow.f64 x 3))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 6))) (neg.f64 (+.f64 x (pow.f64 x 3))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4)))))
(pow.f64 (-.f64 x (pow.f64 x 3)) 1)
(pow.f64 (sqrt.f64 (-.f64 x (pow.f64 x 3))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 3)
(pow.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 2))
(log.f64 (exp.f64 (-.f64 x (pow.f64 x 3))))
(cbrt.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (pow.f64 x 3))))
(exp.f64 (log.f64 (-.f64 x (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (pow.f64 x 3))))
(fma.f64 1 x (neg.f64 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (pow.f64 x 3)))

Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 x (neg.f64 (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(+.f64 x (*.f64 (neg.f64 (pow.f64 x 3)) 1))
(-.f64 x (pow.f64 x 3))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (*.f64 x x)) x (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (pow.f64 x 3)) 1 (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (pow.f64 x 3/2)) (pow.f64 x 3/2) (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 x) (*.f64 x x) (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(+.f64 (neg.f64 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(.f64 x (-.f64 1 (.f64 x x)))
(-.f64 x (pow.f64 x 3))
(*.f64 (-.f64 x (pow.f64 x 3)) 1)
(-.f64 x (pow.f64 x 3))
(*.f64 1 (-.f64 x (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(*.f64 (sqrt.f64 (-.f64 x (pow.f64 x 3))) (sqrt.f64 (-.f64 x (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(*.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 2))
(-.f64 x (pow.f64 x 3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 2) (cbrt.f64 (-.f64 x (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(.f64 (-.f64 (.f64 x x) (pow.f64 x 6)) (/.f64 1 (+.f64 x (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 6)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (fma.f64 x x (pow.f64 x 6)) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 x 3/2)) (-.f64 (sqrt.f64 x) (pow.f64 x 3/2)))
(-.f64 x (pow.f64 x 3))
(/.f64 1 (/.f64 (+.f64 x (pow.f64 x 3)) (-.f64 (*.f64 x x) (pow.f64 x 6))))
(-.f64 x (pow.f64 x 3))
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4))) (-.f64 (pow.f64 x 3) (pow.f64 x 9))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 6)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (fma.f64 x x (pow.f64 x 6)) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (+.f64 x (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 6)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (fma.f64 x x (pow.f64 x 6)) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3)))) (-.f64 x (neg.f64 (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (pow.f64 x 3)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3))) (*.f64 x (neg.f64 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (pow.f64 x 3)) 3)) (fma.f64 x x (-.f64 (pow.f64 x 6) (*.f64 x (neg.f64 (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (pow.f64 x 3) 3)) (+.f64 (fma.f64 x x (pow.f64 x 6)) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (pow.f64 x 3) 3)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 6))) (neg.f64 (+.f64 x (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 6)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (fma.f64 x x (pow.f64 x 6)) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(pow.f64 (-.f64 x (pow.f64 x 3)) 1)
(-.f64 x (pow.f64 x 3))
(pow.f64 (sqrt.f64 (-.f64 x (pow.f64 x 3))) 2)
(-.f64 x (pow.f64 x 3))
(pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 3)
(-.f64 x (pow.f64 x 3))
(pow.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 3) 1/3)
(-.f64 x (pow.f64 x 3))
(sqrt.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 2))
(-.f64 x (pow.f64 x 3))
(log.f64 (exp.f64 (-.f64 x (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(cbrt.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 3))
(-.f64 x (pow.f64 x 3))
(expm1.f64 (log1p.f64 (-.f64 x (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(exp.f64 (log.f64 (-.f64 x (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (-.f64 x (pow.f64 x 3))) 1))
(-.f64 x (pow.f64 x 3))
(log1p.f64 (expm1.f64 (-.f64 x (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(fma.f64 1 x (neg.f64 (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))

localize3.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

eval75.0ms (4.4%)

Compiler: Compiled 1829 to 1260 computations (31.1% saved)

prune19.0ms (1.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	0	1	1
Picked	0	1	1
Done	1	2	3
Total	150	5	155

Error

Counts

155 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.31%	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	47.29%	(/.f64 1 x)
✓	23.38%	(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
▶	51.19%	(.f64 (-.f64 1 (.f64 x x)) x)
	49.71%	x

Compiler

Compiled 31 to 20 computations (35.5% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.08%	(.f64 (-.f64 1 (.f64 x x)) x)

Compiler

Compiled 18 to 8 computations (55.6% saved)

series4.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(.f64 (-.f64 1 (.f64 x x)) x)
0.0ms	x	@	inf	(.f64 (-.f64 1 (.f64 x x)) x)
0.0ms	x	@	-inf	(.f64 (-.f64 1 (.f64 x x)) x)

rewrite53.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1446×	`add-sqr-sqrt`
1426×	`*-un-lft-identity`
1332×	`add-cube-cbrt`
1318×	`add-cbrt-cube`
1312×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	146	19
2	1873	19

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify57.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

956×	`fma-def`
920×	`*-commutative`
684×	`associate-/l*`
648×	`associate-r`
578×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	532
1	147	478
2	447	478
3	2326	454
4	5071	454

Stop Event

1×	node limit

Counts

30 → 31

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 x (.f64 x (.f64 x (neg.f64 x))))
(+.f64 x (.f64 (.f64 x (neg.f64 x)) x))
(-.f64 (+.f64 1 (.f64 x (-.f64 1 (.f64 x x)))) 1)
(/.f64 (.f64 x (-.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 x x)))
(/.f64 (.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4))))
(/.f64 (.f64 (-.f64 1 (pow.f64 x 4)) x) (+.f64 1 (.f64 x x)))
(/.f64 (.f64 (-.f64 1 (pow.f64 x 6)) x) (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4))))
(pow.f64 (.f64 x (-.f64 1 (.f64 x x))) 1)
(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 x x)))) 2)
(pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 x x)))) 3)
(pow.f64 (pow.f64 (.f64 x (-.f64 1 (.f64 x x))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (-.f64 1 (.f64 x x))) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 x x))))
(cbrt.f64 (pow.f64 (.f64 x (-.f64 1 (.f64 x x))) 3))
(expm1.f64 (log1p.f64 (.f64 x (-.f64 1 (.f64 x x)))))
(exp.f64 (log.f64 (.f64 x (-.f64 1 (.f64 x x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 1 (*.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (.f64 x (-.f64 1 (.f64 x x)))))

Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 x (.f64 x (.f64 x (neg.f64 x))))
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 x (.f64 (.f64 x (neg.f64 x)) x))
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(-.f64 (+.f64 1 (.f64 x (-.f64 1 (.f64 x x)))) 1)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(/.f64 (.f64 x (-.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 x x)))
(*.f64 (/.f64 x (fma.f64 x x 1)) (-.f64 1 (pow.f64 x 4)))
(*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 x (fma.f64 x x 1)))
(/.f64 (-.f64 x (pow.f64 x 5)) (fma.f64 x x 1))
(/.f64 (.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4))))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))))
(*.f64 (/.f64 x (+.f64 1 (fma.f64 x x (pow.f64 x 4)))) (-.f64 1 (pow.f64 x 6)))
(/.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) x))
(/.f64 (-.f64 x (pow.f64 x 7)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (.f64 (-.f64 1 (pow.f64 x 4)) x) (+.f64 1 (.f64 x x)))
(/.f64 (.f64 x (-.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 x x)))
(*.f64 (/.f64 x (fma.f64 x x 1)) (-.f64 1 (pow.f64 x 4)))
(*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 x (fma.f64 x x 1)))
(/.f64 (-.f64 x (pow.f64 x 5)) (fma.f64 x x 1))
(/.f64 (.f64 (-.f64 1 (pow.f64 x 6)) x) (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4))))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))))
(*.f64 (/.f64 x (+.f64 1 (fma.f64 x x (pow.f64 x 4)))) (-.f64 1 (pow.f64 x 6)))
(/.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) x))
(/.f64 (-.f64 x (pow.f64 x 7)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(pow.f64 (.f64 x (-.f64 1 (.f64 x x))) 1)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 x x)))) 2)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 x x)))) 3)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(pow.f64 (pow.f64 (.f64 x (-.f64 1 (.f64 x x))) 3) 1/3)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(sqrt.f64 (pow.f64 (.f64 x (-.f64 1 (.f64 x x))) 2))
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 x x))))
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(cbrt.f64 (pow.f64 (.f64 x (-.f64 1 (.f64 x x))) 3))
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(expm1.f64 (log1p.f64 (.f64 x (-.f64 1 (.f64 x x)))))
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(exp.f64 (log.f64 (.f64 x (-.f64 1 (.f64 x x)))))
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 1 (*.f64 x x)))) 1))
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(log1p.f64 (expm1.f64 (.f64 x (-.f64 1 (.f64 x x)))))
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))

eval6.0ms (0.3%)

Compiler: Compiled 319 to 199 computations (37.6% saved)

prune6.0ms (0.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	31	5	36

Error

Counts

36 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.31%	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	47.29%	(/.f64 1 x)
✓	23.38%	(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
✓	51.19%	(.f64 (-.f64 1 (.f64 x x)) x)
	49.71%	x

Compiler

Compiled 31 to 20 computations (35.5% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

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

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.31%	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	47.29%	(/.f64 1 x)
✓	23.38%	(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
✓	51.19%	(.f64 (-.f64 1 (.f64 x x)) x)
	49.71%	x

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes26.0ms (1.5%)

Counts

6 → 3

Calls

Call 1

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

Outputs
(/.f64 1 x)
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 1 x)

Calls

2 calls:

13.0ms	x
11.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))

Results

Error	Segments	Branch
0.01%	3	`x`
0.1%	3	`(/.f64 x (+.f64 (*.f64 x x) 1))`

Compiler

Compiled 42 to 24 computations (42.9% saved)

bsearch5.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
3.0ms	199.7112698857468	51424473223.03536
2.0ms	-566823566852695.4	-2010047028.5620441

Results

4.0ms

48×

body

256

valid

Compiler

Compiled 54 to 38 computations (29.6% saved)

regimes11.0ms (0.7%)

Counts

3 → 3

Calls

Call 1

Inputs
x
(/.f64 1 x)
(.f64 (-.f64 1 (.f64 x x)) x)

Outputs
(/.f64 1 x)
(.f64 (-.f64 1 (.f64 x x)) x)
(/.f64 1 x)

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
0.47%	3	`x`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch30.0ms (1.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.963959234288715e-7	199.7112698857468
16.0ms	-2010047028.5620441	-0.09866850151707433

Results

27.0ms

304×

body

256

valid

Compiler

Compiled 278 to 198 computations (28.8% saved)

regimes9.0ms (0.5%)

Accuracy

Total -61.2b remaining (-13552.4%)

Threshold costs -61.2b (-13552.4%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(/.f64 1 x)

Outputs
(/.f64 1 x)
x
(/.f64 1 x)

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
0.71%	3	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

bsearch46.0ms (2.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	4.963959234288715e-7	199.7112698857468
16.0ms	-2010047028.5620441	-0.09866850151707433

Results

43.0ms

304×

body

256

valid

Compiler

Compiled 164 to 122 computations (25.6% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
8×	`*-commutative`
6×	`if-if-or-not`
4×	`sub-neg`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	136
1	51	136
2	58	136
3	62	136
4	64	136

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -500000000000000) (/.f64 1 x) (if (<=.f64 x 5000000) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x)))
(if (<=.f64 x -7656119366529843/9007199254740992) (/.f64 1 x) (if (<=.f64 x 7746191359077253/9007199254740992) (.f64 (-.f64 1 (.f64 x x)) x) (/.f64 1 x)))
(if (<=.f64 x -1) (/.f64 1 x) (if (<=.f64 x 1) x (/.f64 1 x)))
x

Outputs
(if (<=.f64 x -500000000000000) (/.f64 1 x) (if (<=.f64 x 5000000) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x)))
(if (<=.f64 x -500000000000000) (/.f64 1 x) (if (<=.f64 x 5000000) (/.f64 x (+.f64 1 (*.f64 x x))) (/.f64 1 x)))
(if (<=.f64 x -7656119366529843/9007199254740992) (/.f64 1 x) (if (<=.f64 x 7746191359077253/9007199254740992) (.f64 (-.f64 1 (.f64 x x)) x) (/.f64 1 x)))
(if (<=.f64 x -7656119366529843/9007199254740992) (/.f64 1 x) (if (<=.f64 x 7746191359077253/9007199254740992) (.f64 x (-.f64 1 (.f64 x x))) (/.f64 1 x)))
(if (<=.f64 x -1) (/.f64 1 x) (if (<=.f64 x 1) x (/.f64 1 x)))
x

Compiler

Compiled 62 to 42 computations (32.3% saved)

soundness0.0ms (0%)

end35.0ms (2%)

Compiler: Compiled 59 to 38 computations (35.6% saved)

Details

analyze3.0ms (0.2%)

sample837.0ms (48.8%)

preprocess4.0ms (0.2%)

simplify24.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.3%)

series1.0ms (0.1%)

rewrite57.0ms (3.3%)

simplify57.0ms (3.3%)

eval17.0ms (1%)

prune10.0ms (0.6%)

localize9.0ms (0.5%)

series1.0ms (0.1%)

rewrite80.0ms (4.6%)

simplify69.0ms (4%)

localize5.0ms (0.3%)

series1.0ms (0.1%)

rewrite76.0ms (4.5%)

simplify60.0ms (3.5%)

localize3.0ms (0.1%)

eval75.0ms (4.4%)

prune19.0ms (1.1%)

localize6.0ms (0.3%)

series4.0ms (0.2%)

rewrite53.0ms (3.1%)

simplify57.0ms (3.3%)

eval6.0ms (0.3%)

prune6.0ms (0.3%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes26.0ms (1.5%)

bsearch5.0ms (0.3%)

regimes11.0ms (0.7%)

bsearch30.0ms (1.8%)

regimes9.0ms (0.5%)

bsearch46.0ms (2.7%)

simplify7.0ms (0.4%)

soundness0.0ms (0%)

end35.0ms (2%)

Profiling