Details

analyze4.0ms (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)

sample780.0ms (34.6%)

Results

746.0ms

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)

simplify11.0ms (0.5%)

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))

eval3.0ms (0.1%)

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

17.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.1b	(/.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
✓	17.1b	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 18 to 8 computations (55.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (2.5%)

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))))))))

simplify56.0ms (2.5%)

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))

eval56.0ms (2.5%)

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

prune10.0ms (0.4%)

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
▶	27.2b	(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
✓	17.1b	(/.f64 x (+.f64 (*.f64 x x) 1))
▶	27.9b	(/.f64 1 x)
▶	35.4b	(-.f64 x (pow.f64 x 3))
	34.5b	x

Compiler

Compiled 32 to 22 computations (31.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.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
1.0ms	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))

rewrite73.0ms (3.2%)

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)))))))

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)))))))

simplify86.0ms (3.8%)

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)

localize13.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (pow.f64 x 3) x)
✓	26.8b	(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))

Compiler

Compiled 32 to 23 computations (28.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
0.0ms	x	@	inf	(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
0.0ms	x	@	-inf	(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
0.0ms	x	@	0	(-.f64 (pow.f64 x 3) x)
0.0ms	x	@	inf	(-.f64 (pow.f64 x 3) x)

rewrite83.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1522×	`associate-/l*`
1502×	`associate-/r*`
1490×	`associate-*l/`
1090×	`*-commutative`
252×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	260	44
2	3487	44

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

Inputs
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(-.f64 (pow.f64 x 3) x)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x 3) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x 3) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x 3) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x 3) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (/.f64 1 (sqrt.f64 (-.f64 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) (+.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) (/.f64 1 (/.f64 1 (+.f64 x (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (pow.f64 x 3)) (/.f64 (+.f64 x (pow.f64 x 3)) (-.f64 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) 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3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3))) 1) (neg.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 6) (*.f64 (neg.f64 x) (neg.f64 x))) 1) (-.f64 (pow.f64 x 3) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 9) (pow.f64 (neg.f64 x) 3)) 1) (-.f64 (+.f64 (pow.f64 x 6) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (pow.f64 x 3) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3))) (sqrt.f64 (-.f64 (pow.f64 x 3) x))) (sqrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (*.f64 x x))) (sqrt.f64 (-.f64 (pow.f64 x 3) x))) (sqrt.f64 (+.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2)) (cbrt.f64 (+.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 12) (pow.f64 x 4)) (/.f64 1 (+.f64 x (pow.f64 x 3)))) (+.f64 (pow.f64 x 6) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 x 6)) (/.f64 1 (+.f64 x (pow.f64 x 3)))) (+.f64 (+.f64 (pow.f64 x 12) (pow.f64 x 4)) (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 9) (pow.f64 x 9)) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))) (+.f64 (pow.f64 x 3) (pow.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 9) 3) (pow.f64 x 9)) (/.f64 1 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))) (+.f64 (+.f64 (*.f64 (pow.f64 x 9) (pow.f64 x 9)) (pow.f64 x 6)) (*.f64 (pow.f64 x 3) (pow.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) x) (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) 1) (+.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) (sqrt.f64 (+.f64 x (pow.f64 x 3)))) (sqrt.f64 (+.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) (*.f64 (cbrt.f64 (+.f64 x (pow.f64 x 3))) (cbrt.f64 (+.f64 x (pow.f64 x 3))))) (cbrt.f64 (+.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) (+.f64 1 (*.f64 x x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) 1) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))) (sqrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))) (cbrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))))) (cbrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (pow.f64 x 3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (pow.f64 x 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x 3) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) x (neg.f64 x))))))

simplify139.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

1844×	`distribute-lft-in`
868×	`associate-+l+`
814×	`associate-+r+`
800×	`associate-+l-`
756×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	356	5801
1	918	5605
2	4502	5605

Stop Event

1×	node limit

Counts

165 → 231

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 -1 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (/.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 x 4))) (neg.f64 (/.f64 x (+.f64 -1 (pow.f64 x 4)))))
(+.f64 (neg.f64 (/.f64 x (+.f64 -1 (pow.f64 x 4)))) (/.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 x 4))))
(-.f64 (/.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 x 4))) (/.f64 x (+.f64 -1 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))))) 1)
(*.f64 (-.f64 (pow.f64 x 3) x) (/.f64 -1 (-.f64 1 (pow.f64 x 4))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) 1)
(*.f64 1 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (/.f64 -1 (-.f64 1 (pow.f64 x 4)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) 2) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (/.f64 -1 (-.f64 1 (pow.f64 x 4)))))
(*.f64 (-.f64 -1 (pow.f64 x 4)) (/.f64 (-.f64 (pow.f64 x 3) x) (-.f64 1 (pow.f64 x 8))))
(*.f64 (/.f64 -1 (-.f64 1 (pow.f64 x 4))) (-.f64 (pow.f64 x 3) x))
(*.f64 (+.f64 1 (+.f64 (pow.f64 x 4) (pow.f64 x 8))) (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 12))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x 3) x)) (/.f64 -1 (+.f64 -1 (pow.f64 x 4))))
(.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (/.f64 -1 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (-.f64 (pow.f64 x 3) x)))
(.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (/.f64 -1 (-.f64 1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 (-.f64 (pow.f64 x 3) x) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (/.f64 (-.f64 (pow.f64 x 3) x) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (-.f64 1 (pow.f64 x 8))) (-.f64 -1 (pow.f64 x 4)))
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 12))) (+.f64 1 (+.f64 (pow.f64 x 4) (pow.f64 x 8))))
(*.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 4))) (neg.f64 (-.f64 (pow.f64 x 3) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (+.f64 -1 (pow.f64 x 4))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (+.f64 -1 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) 1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (+.f64 -1 (pow.f64 x 4))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (+.f64 -1 (pow.f64 x 4))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))))
(pow.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 -1 (pow.f64 x 4)) (-.f64 (pow.f64 x 3) x)) -1)
(neg.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (-.f64 1 (pow.f64 x 4))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))))
(+.f64 (pow.f64 x 3) (neg.f64 x))
(+.f64 (pow.f64 x 3) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (pow.f64 x 3) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (pow.f64 x 3) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (pow.f64 x 3) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (pow.f64 x 3) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (pow.f64 x 3) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (pow.f64 x 3) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (pow.f64 x 3) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (pow.f64 x 3) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (pow.f64 x 3) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (pow.f64 x 3) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (pow.f64 x 3) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (pow.f64 x 3) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (pow.f64 x 3) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (pow.f64 x 3) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (neg.f64 x) (pow.f64 x 3))
(+.f64 (neg.f64 x) (+.f64 (pow.f64 x 3) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (neg.f64 x) (+.f64 (pow.f64 x 3) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (neg.f64 x) (+.f64 (pow.f64 x 3) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (pow.f64 x 3) x))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (pow.f64 x 3) x))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (pow.f64 x 3) x))
(+.f64 (-.f64 (pow.f64 x 3) (exp.f64 (log1p.f64 x))) 1)
(.f64 x (-.f64 (.f64 x x) 1))
(*.f64 (-.f64 (pow.f64 x 3) x) 1)
(*.f64 1 (-.f64 (pow.f64 x 3) x))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (sqrt.f64 (-.f64 (pow.f64 x 3) x)))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (cbrt.f64 (-.f64 (pow.f64 x 3) x)))
(.f64 (-.f64 (pow.f64 x 6) (.f64 x x)) (/.f64 1 (+.f64 x (pow.f64 x 3))))
(*.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))))
(.f64 (-.f64 (.f64 x x) 1) x)
(*.f64 (+.f64 (pow.f64 x 3/2) (sqrt.f64 x)) (-.f64 (pow.f64 x 3/2) (sqrt.f64 x)))
(*.f64 (-.f64 (pow.f64 x 3/2) (sqrt.f64 x)) (+.f64 (pow.f64 x 3/2) (sqrt.f64 x)))
(.f64 (/.f64 1 (+.f64 x (pow.f64 x 3))) (-.f64 (pow.f64 x 6) (.f64 x x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))) (-.f64 (pow.f64 x 9) (pow.f64 x 3)))
(/.f64 x (/.f64 1 (-.f64 (*.f64 x x) 1)))
(/.f64 (-.f64 (pow.f64 x 3) x) 1)
(/.f64 1 (/.f64 1 (-.f64 (pow.f64 x 3) x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) (/.f64 1 (sqrt.f64 (-.f64 (pow.f64 x 3) x))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (pow.f64 x 3) x))))
(/.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) (+.f64 x (pow.f64 x 3)))
(/.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) (/.f64 1 (/.f64 1 (+.f64 x (pow.f64 x 3)))))
(/.f64 (+.f64 x (pow.f64 x 3)) (/.f64 (+.f64 x (pow.f64 x 3)) (-.f64 (pow.f64 x 3) x)))
(/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))))
(/.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))) (/.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))) (-.f64 (pow.f64 x 3) x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3))) (/.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))) (sqrt.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (.f64 x x))) (/.f64 (+.f64 x (pow.f64 x 3)) (sqrt.f64 (-.f64 (pow.f64 x 6) (.f64 x x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3))) (cbrt.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)))) (/.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))) (cbrt.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (.f64 x x))) (cbrt.f64 (-.f64 (pow.f64 x 6) (.f64 x x)))) (/.f64 (+.f64 x (pow.f64 x 3)) (cbrt.f64 (-.f64 (pow.f64 x 6) (.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (*.f64 x x))) (neg.f64 (+.f64 x (pow.f64 x 3))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 x 3/2) (sqrt.f64 x)) (/.f64 1 (-.f64 (pow.f64 x 3/2) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 x 6) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 x 9) (pow.f64 (neg.f64 x) 3)) (-.f64 (+.f64 (pow.f64 x 6) (.f64 (neg.f64 x) (neg.f64 x))) (.f64 (pow.f64 x 3) (neg.f64 x))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x 6) (.f64 x x))) 1) (neg.f64 (+.f64 x (pow.f64 x 3))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3))) 1) (neg.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (.f64 (neg.f64 x) (neg.f64 x))) 1) (-.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (.f64 (+.f64 (pow.f64 x 9) (pow.f64 (neg.f64 x) 3)) 1) (-.f64 (+.f64 (pow.f64 x 6) (.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (pow.f64 x 3) (neg.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3))) (sqrt.f64 (-.f64 (pow.f64 x 3) x))) (sqrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (.f64 x x))) (sqrt.f64 (-.f64 (pow.f64 x 3) x))) (sqrt.f64 (+.f64 x (pow.f64 x 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 2)) (cbrt.f64 (+.f64 x (pow.f64 x 3))))
(/.f64 (.f64 (-.f64 (pow.f64 x 12) (pow.f64 x 4)) (/.f64 1 (+.f64 x (pow.f64 x 3)))) (+.f64 (pow.f64 x 6) (.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 x 6)) (/.f64 1 (+.f64 x (pow.f64 x 3)))) (+.f64 (+.f64 (pow.f64 x 12) (pow.f64 x 4)) (pow.f64 x 8)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 9) (pow.f64 x 9)) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))) (+.f64 (pow.f64 x 3) (pow.f64 x 9)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 x 9) 3) (pow.f64 x 9)) (/.f64 1 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))) (+.f64 (+.f64 (.f64 (pow.f64 x 9) (pow.f64 x 9)) (pow.f64 x 6)) (*.f64 (pow.f64 x 3) (pow.f64 x 9))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (.f64 x x)) x) (+.f64 1 (.f64 x x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) 1) (+.f64 x (pow.f64 x 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) (sqrt.f64 (+.f64 x (pow.f64 x 3)))) (sqrt.f64 (+.f64 x (pow.f64 x 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (.f64 x x)) (.f64 (cbrt.f64 (+.f64 x (pow.f64 x 3))) (cbrt.f64 (+.f64 x (pow.f64 x 3))))) (cbrt.f64 (+.f64 x (pow.f64 x 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (.f64 x x)) (+.f64 1 (.f64 x x))) x)
(/.f64 (/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) 1) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))) (sqrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))) (cbrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))))) (cbrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))))
(pow.f64 (-.f64 (pow.f64 x 3) x) 1)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) 2)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x 3) x) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x 3) x))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (-.f64 (pow.f64 x 3) x)))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x 3) x)))
(fma.f64 x (*.f64 x x) (neg.f64 x))
(fma.f64 1 (pow.f64 x 3) (neg.f64 x))
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (neg.f64 x))
(fma.f64 (*.f64 x x) x (neg.f64 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)) (+.f64 (pow.f64 x 5) x))
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))
(+.f64 (pow.f64 x 5) (-.f64 x (pow.f64 x 3)))
(+.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 (pow.f64 x 5) (pow.f64 x 7)) (-.f64 x (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 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 1 x) (/.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 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 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 1 x) (/.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 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(pow.f64 x 3)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(pow.f64 x 3)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
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(/.f64 (-.f64 (pow.f64 x 12) (pow.f64 x 4)) (*.f64 (fma.f64 x x (pow.f64 x 6)) (+.f64 x (pow.f64 x 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 x 6)) (/.f64 1 (+.f64 x (pow.f64 x 3)))) (+.f64 (+.f64 (pow.f64 x 12) (pow.f64 x 4)) (pow.f64 x 8)))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 x 6)) (/.f64 (+.f64 (pow.f64 x 8) (+.f64 (pow.f64 x 4) (pow.f64 x 12))) (/.f64 1 (+.f64 x (pow.f64 x 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 x 6)) (*.f64 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 12) (pow.f64 x 8))) (+.f64 x (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 x 6)) (*.f64 (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 8) (pow.f64 x 12))) (+.f64 x (pow.f64 x 3))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 9) (pow.f64 x 9)) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))) (+.f64 (pow.f64 x 3) (pow.f64 x 9)))
(/.f64 (-.f64 (pow.f64 x 18) (pow.f64 x 6)) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 9)) (/.f64 1 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))))
(/.f64 (-.f64 (pow.f64 x 18) (pow.f64 x 6)) (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 18) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6)))) (+.f64 (pow.f64 x 3) (pow.f64 x 9)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 x 9) 3) (pow.f64 x 9)) (/.f64 1 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))) (+.f64 (+.f64 (.f64 (pow.f64 x 9) (pow.f64 x 9)) (pow.f64 x 6)) (*.f64 (pow.f64 x 3) (pow.f64 x 9))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 9) 3) (pow.f64 x 9)) (/.f64 (+.f64 (pow.f64 x 18) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) (pow.f64 x 9)))) (/.f64 1 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 x 9) 3) (pow.f64 x 9)) (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6)))) (fma.f64 (pow.f64 x 3) (pow.f64 x 9) (+.f64 (pow.f64 x 6) (pow.f64 x 18))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 9) 3) (pow.f64 x 9)) (*.f64 (fma.f64 (pow.f64 x 3) (pow.f64 x 9) (+.f64 (pow.f64 x 6) (pow.f64 x 18))) (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (.f64 x x)) x) (+.f64 1 (.f64 x x)))
(-.f64 (pow.f64 x 3) x)
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) 1) (+.f64 x (pow.f64 x 3)))
(-.f64 (pow.f64 x 3) x)
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (*.f64 x x)) (sqrt.f64 (+.f64 x (pow.f64 x 3)))) (sqrt.f64 (+.f64 x (pow.f64 x 3))))
(-.f64 (pow.f64 x 3) x)
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (.f64 x x)) (.f64 (cbrt.f64 (+.f64 x (pow.f64 x 3))) (cbrt.f64 (+.f64 x (pow.f64 x 3))))) (cbrt.f64 (+.f64 x (pow.f64 x 3))))
(-.f64 (pow.f64 x 3) x)
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (.f64 x x)) (+.f64 1 (.f64 x x))) x)
(-.f64 (pow.f64 x 3) x)
(/.f64 (/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) 1) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))) (sqrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))) (cbrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))))) (cbrt.f64 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 9) (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))))
(pow.f64 (-.f64 (pow.f64 x 3) x) 1)
(-.f64 (pow.f64 x 3) x)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) x)) 2)
(-.f64 (pow.f64 x 3) x)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) 3)
(-.f64 (pow.f64 x 3) x)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x 3) x) 3) 1/3)
(-.f64 (pow.f64 x 3) x)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x 3) x) 2))
(fabs.f64 (-.f64 (pow.f64 x 3) x))
(log.f64 (exp.f64 (-.f64 (pow.f64 x 3) x)))
(-.f64 (pow.f64 x 3) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x 3) x))))
(-.f64 (pow.f64 x 3) x)
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 3) x) 3))
(-.f64 (pow.f64 x 3) x)
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x 3) x)))
(-.f64 (pow.f64 x 3) x)
(exp.f64 (log.f64 (-.f64 (pow.f64 x 3) x)))
(-.f64 (pow.f64 x 3) x)
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x 3) x)))
(-.f64 (pow.f64 x 3) x)
(fma.f64 x (*.f64 x x) (neg.f64 x))
(-.f64 (pow.f64 x 3) x)
(fma.f64 1 (pow.f64 x 3) (neg.f64 x))
(-.f64 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (neg.f64 x))
(-.f64 (pow.f64 x 3) x)
(fma.f64 (*.f64 x x) x (neg.f64 x))
(-.f64 (pow.f64 x 3) x)

eval103.0ms (4.5%)

Compiler: Compiled 5617 to 3896 computations (30.6% saved)

prune35.0ms (1.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	278	2	280
Fresh	0	1	1
Picked	1	0	1
Done	1	2	3
Total	280	5	285

Error

Counts

285 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.2b	(/.f64 (.f64 (-.f64 (.f64 x x) 1) x) (+.f64 -1 (pow.f64 x 4)))
✓	17.1b	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	27.9b	(/.f64 1 x)
▶	35.4b	(.f64 x (-.f64 1 (.f64 x x)))
	34.5b	x

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (-.f64 1 (.f64 x x)))

Compiler

Compiled 18 to 8 computations (55.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (2.3%)

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	1869	19

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

simplify55.0ms (2.4%)

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))

localize14.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (-.f64 (.f64 x x) 1) x)
✓	26.8b	(/.f64 (.f64 (-.f64 (.f64 x x) 1) x) (+.f64 -1 (pow.f64 x 4)))

Compiler

Compiled 41 to 24 computations (41.5% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(.f64 (-.f64 (.f64 x x) 1) x)
0.0ms	x	@	0	(/.f64 (.f64 (-.f64 (.f64 x x) 1) x) (+.f64 -1 (pow.f64 x 4)))
0.0ms	x	@	inf	(.f64 (-.f64 (.f64 x x) 1) x)
0.0ms	x	@	inf	(/.f64 (.f64 (-.f64 (.f64 x x) 1) x) (+.f64 -1 (pow.f64 x 4)))
0.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 (.f64 x x) 1) x) (+.f64 -1 (pow.f64 x 4)))

rewrite74.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1854×	`associate-/r*`
1806×	`associate-/l*`
800×	`associate-/r/`
710×	`associate-/l/`
260×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	272	30
2	3572	30

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 (.f64 x x) 1) x) (+.f64 -1 (pow.f64 x 4)))
(.f64 (-.f64 (.f64 x x) 1) x)

Outputs

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

simplify82.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1630×	`associate-/r/`
1030×	`unswap-sqr`
474×	`associate-/l*`
416×	`+-commutative`
378×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	362	5208
1	948	4668
2	4043	4650

Stop Event

1×	node limit

Counts

150 → 214

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 -1 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1)))) 1)
(-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 -1 (pow.f64 x 4))) x) (/.f64 x (+.f64 -1 (pow.f64 x 4))))
(*.f64 x (/.f64 1 (fma.f64 x x 1)))
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(.f64 (fma.f64 x x -1) (.f64 x (/.f64 1 (+.f64 -1 (pow.f64 x 4)))))
(*.f64 (fma.f64 x x -1) (/.f64 x (+.f64 -1 (pow.f64 x 4))))
(.f64 (.f64 x (fma.f64 x x -1)) (/.f64 1 (+.f64 -1 (pow.f64 x 4))))
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) (sqrt.f64 (/.f64 x (fma.f64 x x 1))))
(.f64 (sqrt.f64 (.f64 x (fma.f64 x x -1))) (.f64 (sqrt.f64 (.f64 x (fma.f64 x x -1))) (/.f64 1 (+.f64 -1 (pow.f64 x 4)))))
(*.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 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x x -1)) 2)) (.f64 (cbrt.f64 (.f64 x (fma.f64 x x -1))) (/.f64 1 (+.f64 -1 (pow.f64 x 4)))))
(.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 4))) (.f64 x (fma.f64 x x -1)))
(.f64 (.f64 (fma.f64 x x -1) (neg.f64 x)) (/.f64 1 (-.f64 1 (pow.f64 x 4))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 (.f64 x (fma.f64 x x -1)) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (/.f64 x (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) (fma.f64 x x -1))))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 x 4))) (fma.f64 x x -1))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 (fma.f64 x x -1) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 x 8))) (.f64 (*.f64 x (fma.f64 x x -1)) (-.f64 -1 (pow.f64 x 4))))
(.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 12))) (.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 (+.f64 1 (pow.f64 x 8)) (pow.f64 x 4))))
(.f64 (/.f64 (.f64 x (fma.f64 x x -1)) (-.f64 1 (pow.f64 x 8))) (-.f64 -1 (pow.f64 x 4)))
(*.f64 (/.f64 (fma.f64 x x -1) (/.f64 (+.f64 -1 (pow.f64 x 12)) x)) (+.f64 (+.f64 1 (pow.f64 x 8)) (pow.f64 x 4)))
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
(.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (.f64 (fma.f64 x x -1) (neg.f64 x)))
(*.f64 (/.f64 x 1) (/.f64 1 (fma.f64 x x 1)))
(*.f64 (/.f64 (fma.f64 x x -1) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 x (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (/.f64 (fma.f64 x x -1) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(*.f64 (/.f64 (fma.f64 x x -1) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (/.f64 x (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(.f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 x x -1))) 1) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 x x -1))) (+.f64 -1 (pow.f64 x 4))))
(.f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 x x -1))) (+.f64 -1 (pow.f64 x 4))) (sqrt.f64 (*.f64 x (fma.f64 x x -1))))
(.f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 x x -1))) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x x -1)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 x x -1))) (+.f64 -1 (pow.f64 x 4))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x x -1)) 2)) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 x x -1))) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x x -1)) 2)) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(.f64 (/.f64 (fma.f64 x x -1) (-.f64 1 (pow.f64 x 8))) (.f64 x (-.f64 -1 (pow.f64 x 4))))
(.f64 (/.f64 (fma.f64 x x -1) (+.f64 -1 (pow.f64 x 12))) (.f64 x (+.f64 (+.f64 1 (pow.f64 x 8)) (pow.f64 x 4))))
(*.f64 (/.f64 (fma.f64 x x -1) (/.f64 (+.f64 -1 (pow.f64 x 4)) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1)) (/.f64 (+.f64 -1 (pow.f64 x 4)) x)) (sqrt.f64 (fma.f64 x x -1)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x x -1)) 2)) (+.f64 -1 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (fma.f64 x x -1))))
(.f64 (/.f64 (.f64 x (fma.f64 x x -1)) (neg.f64 (-.f64 1 (pow.f64 x 8)))) (neg.f64 (-.f64 -1 (pow.f64 x 4))))
(.f64 (/.f64 (.f64 x (fma.f64 x x -1)) (neg.f64 (+.f64 -1 (pow.f64 x 12)))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 x 8)) (pow.f64 x 4))))
(.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 (pow.f64 x 4) (.f64 x x))))
(.f64 (/.f64 1 (/.f64 (+.f64 -1 (pow.f64 x 4)) (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x x -1)) 2)))) (cbrt.f64 (*.f64 x (fma.f64 x x -1))))
(*.f64 (/.f64 (fma.f64 x x -1) (-.f64 1 (pow.f64 x 4))) (neg.f64 x))
(.f64 (/.f64 (fma.f64 x x -1) (/.f64 (+.f64 -1 (pow.f64 x 4)) (cbrt.f64 (.f64 x x)))) (cbrt.f64 x))
(.f64 (/.f64 (.f64 x (fma.f64 x x -1)) (-.f64 (pow.f64 x 8) 1)) (+.f64 1 (pow.f64 x 4)))
(.f64 (/.f64 (.f64 x (fma.f64 x x -1)) (-.f64 (pow.f64 x 12) 1)) (+.f64 (+.f64 1 (pow.f64 x 8)) (pow.f64 x 4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (/.f64 (+.f64 -1 (pow.f64 x 4)) x)) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (/.f64 (+.f64 x 1) (/.f64 (+.f64 -1 (pow.f64 x 4)) x)) (+.f64 x -1))
(.f64 (/.f64 (.f64 (fma.f64 x x -1) (neg.f64 x)) (neg.f64 (-.f64 1 (pow.f64 x 8)))) (-.f64 -1 (pow.f64 x 4)))
(.f64 (/.f64 (.f64 (fma.f64 x x -1) (neg.f64 x)) (neg.f64 (+.f64 -1 (pow.f64 x 12)))) (+.f64 (+.f64 1 (pow.f64 x 8)) (pow.f64 x 4)))
(.f64 (/.f64 (/.f64 (.f64 x (fma.f64 x x -1)) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 -1 (pow.f64 x 12)))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 x 8)) (pow.f64 x 4))))
(.f64 (/.f64 (/.f64 (.f64 x (fma.f64 x x -1)) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (sqrt.f64 (-.f64 1 (pow.f64 x 8)))) (sqrt.f64 (-.f64 -1 (pow.f64 x 4))))
(*.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2) (fma.f64 x x -1))) (cbrt.f64 (+.f64 -1 (pow.f64 x 12)))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 x 8)) (pow.f64 x 4))))
(*.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2) (fma.f64 x x -1))) (cbrt.f64 (-.f64 1 (pow.f64 x 8)))) (cbrt.f64 (-.f64 -1 (pow.f64 x 4))))
(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)
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
(neg.f64 (/.f64 (fma.f64 x x -1) (/.f64 (-.f64 1 (pow.f64 x 4)) x)))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x x 1)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (fma.f64 x x -1)) 3) (pow.f64 (+.f64 -1 (pow.f64 x 4)) 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 (pow.f64 x 3) (*.f64 x -1))
(+.f64 (pow.f64 x 3) (*.f64 -1 x))
(+.f64 (*.f64 x -1) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x x -1)))) 1)
(/.f64 x (/.f64 1 (fma.f64 x x -1)))
(/.f64 1 (/.f64 1 (*.f64 x (fma.f64 x x -1))))
(/.f64 (fma.f64 x x -1) (/.f64 1 x))
(/.f64 (*.f64 x (fma.f64 x x -1)) 1)
(/.f64 (+.f64 -1 (pow.f64 x 4)) (/.f64 (fma.f64 x x 1) x))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (/.f64 1 (*.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(/.f64 (sqrt.f64 x) (/.f64 1 (*.f64 (sqrt.f64 x) (fma.f64 x x -1))))
(/.f64 (sqrt.f64 (.f64 x (fma.f64 x x -1))) (/.f64 1 (sqrt.f64 (.f64 x (fma.f64 x x -1)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 x x -1)) x)))
(/.f64 (cbrt.f64 (.f64 x x)) (/.f64 1 (.f64 (cbrt.f64 x) (fma.f64 x x -1))))
(/.f64 (cbrt.f64 (.f64 x (fma.f64 x x -1))) (/.f64 1 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x x -1)) 2))))
(/.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x x -1)) 2)) (/.f64 1 (cbrt.f64 (.f64 x (fma.f64 x x -1)))))
(/.f64 (+.f64 x 1) (/.f64 1 (*.f64 (+.f64 x -1) x)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) x))
(/.f64 (*.f64 x (sqrt.f64 (fma.f64 x x -1))) (/.f64 1 (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 x x -1))))
(/.f64 (*.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
(/.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(/.f64 (.f64 (fma.f64 x x -1) (cbrt.f64 (.f64 x x))) (/.f64 1 (cbrt.f64 x)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 x 4))) (fma.f64 x x 1))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 4)) x) (fma.f64 x x 1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 6)) x) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (/.f64 (*.f64 x (+.f64 -1 (pow.f64 x 4))) 1) (fma.f64 x x 1))
(/.f64 (/.f64 (*.f64 x (+.f64 -1 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x x 1))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (/.f64 (.f64 x (+.f64 -1 (pow.f64 x 4))) (.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (fma.f64 x x 1)))) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 (/.f64 (*.f64 x (+.f64 -1 (pow.f64 x 6))) 1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (/.f64 (*.f64 x (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (/.f64 (.f64 x (+.f64 -1 (pow.f64 x 6))) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 x 4)) x) 1) (fma.f64 x x 1))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 x 4)) x) (sqrt.f64 (fma.f64 x x 1))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (/.f64 (.f64 (+.f64 -1 (pow.f64 x 4)) x) (.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (fma.f64 x x 1)))) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 x 6)) x) 1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 x 6)) x) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (/.f64 (.f64 (+.f64 -1 (pow.f64 x 6)) x) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (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 (pow.f64 (exp.f64 x) (fma.f64 x x -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x x -1)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 3) (pow.f64 x 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 5)) (pow.f64 x 3))
(+.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 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 (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 (/.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 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7))) (/.f64 -1 (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 (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 (/.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 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7))) (/.f64 -1 (pow.f64 x 3))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 x -1 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 x -1 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 x -1 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(pow.f64 x 3)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 x -1 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 x -1 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 x -1 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(pow.f64 x 3)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 x -1 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 x -1 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 x -1 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1)))) 1)
(/.f64 x (fma.f64 x x 1))
(-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 -1 (pow.f64 x 4))) x) (/.f64 x (+.f64 -1 (pow.f64 x 4))))
(-.f64 (/.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 x 4))) (/.f64 x (+.f64 -1 (pow.f64 x 4))))
(*.f64 x (/.f64 1 (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(.f64 (fma.f64 x x -1) (.f64 x (/.f64 1 (+.f64 -1 (pow.f64 x 4)))))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 -1 (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(*.f64 (fma.f64 x x -1) (/.f64 x (+.f64 -1 (pow.f64 x 4))))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 -1 (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(.f64 (.f64 x (fma.f64 x x -1)) (/.f64 1 (+.f64 -1 (pow.f64 x 4))))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 -1 (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(/.f64 x (fma.f64 x x 1))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x x 1))) (sqrt.f64 (/.f64 x (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(.f64 (sqrt.f64 (.f64 x (fma.f64 x x -1))) (.f64 (sqrt.f64 (.f64 x (fma.f64 x x -1))) (/.f64 1 (+.f64 -1 (pow.f64 x 4)))))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 -1 (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))
(/.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 x (fma.f64 x x 1))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x x -1)) 2)) (.f64 (cbrt.f64 (.f64 x (fma.f64 x x -1))) (/.f64 1 (+.f64 -1 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x x -1)) 2)) (.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 4))) (cbrt.f64 (.f64 x (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 3) x) 2)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (+.f64 -1 (pow.f64 x 4))))
(.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 4))) (.f64 x (fma.f64 x x -1)))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 -1 (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(.f64 (.f64 (fma.f64 x x -1) (neg.f64 x)) (/.f64 1 (-.f64 1 (pow.f64 x 4))))
(/.f64 (.f64 (.f64 (fma.f64 x x -1) (neg.f64 x)) 1) (-.f64 1 (pow.f64 x 4)))
(/.f64 (-.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4)))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 (.f64 x (fma.f64 x x -1)) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 x (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (fma.f64 x x -1))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 -1 (pow.f64 x 4))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (/.f64 x (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) (fma.f64 x x -1))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (.f64 (/.f64 x (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))) (fma.f64 x x -1)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 x 4))) (fma.f64 x x -1))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 -1 (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 (fma.f64 x x -1) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 x (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (fma.f64 x x -1))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 -1 (pow.f64 x 4))))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 x 8))) (.f64 (*.f64 x (fma.f64 x x -1)) (-.f64 -1 (pow.f64 x 4))))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 x 8))) (.f64 x (*.f64 (fma.f64 x x -1) (-.f64 -1 (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 x 3) x) (/.f64 (-.f64 1 (pow.f64 x 8)) (-.f64 -1 (pow.f64 x 4))))
(*.f64 (-.f64 -1 (pow.f64 x 4)) (/.f64 (-.f64 (pow.f64 x 3) x) (-.f64 1 (pow.f64 x 8))))
(.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 12))) (.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 (+.f64 1 (pow.f64 x 8)) (pow.f64 x 4))))
(.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 12))) (.f64 x (*.f64 (fma.f64 x x -1) (+.f64 1 (+.f64 (pow.f64 x 8) (pow.f64 x 4))))))
(/.f64 (fma.f64 x x -1) (/.f64 (+.f64 -1 (pow.f64 x 12)) (fma.f64 x (+.f64 1 (pow.f64 x 8)) (pow.f64 x 5))))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 -1 (pow.f64 x 12))) (fma.f64 x (+.f64 1 (pow.f64 x 8)) (pow.f64 x 5)))
(.f64 (/.f64 (.f64 x (fma.f64 x x -1)) (-.f64 1 (pow.f64 x 8))) (-.f64 -1 (pow.f64 x 4)))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 x 8))) (.f64 x (*.f64 (fma.f64 x x -1) (-.f64 -1 (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 x 3) x) (/.f64 (-.f64 1 (pow.f64 x 8)) (-.f64 -1 (pow.f64 x 4))))
(*.f64 (-.f64 -1 (pow.f64 x 4)) (/.f64 (-.f64 (pow.f64 x 3) x) (-.f64 1 (pow.f64 x 8))))
(*.f64 (/.f64 (fma.f64 x x -1) (/.f64 (+.f64 -1 (pow.f64 x 12)) x)) (+.f64 (+.f64 1 (pow.f64 x 8)) (pow.f64 x 4)))
(.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 12))) (.f64 x (*.f64 (fma.f64 x x -1) (+.f64 1 (+.f64 (pow.f64 x 8) (pow.f64 x 4))))))
(/.f64 (fma.f64 x x -1) (/.f64 (+.f64 -1 (pow.f64 x 12)) (fma.f64 x (+.f64 1 (pow.f64 x 8)) (pow.f64 x 5))))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 -1 (pow.f64 x 12))) (fma.f64 x (+.f64 1 (pow.f64 x 8)) (pow.f64 x 5)))
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
(/.f64 x (fma.f64 x x 1))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (.f64 (fma.f64 x x -1) (neg.f64 x)))
(/.f64 (.f64 (.f64 (fma.f64 x x -1) (neg.f64 x)) 1) (-.f64 1 (pow.f64 x 4)))
(/.f64 (-.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4)))
(*.f64 (/.f64 x 1) (/.f64 1 (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (fma.f64 x x -1) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 x (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 x (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (fma.f64 x x -1))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 -1 (pow.f64 x 4))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (/.f64 (fma.f64 x x -1) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (.f64 (/.f64 x (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))) (fma.f64 x x -1)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2))
(*.f64 (/.f64 (fma.f64 x x -1) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (/.f64 x (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (.f64 (/.f64 x (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))) (fma.f64 x x -1)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2))
(.f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 x x -1))) 1) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 x x -1))) (+.f64 -1 (pow.f64 x 4))))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 -1 (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(.f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 x x -1))) (+.f64 -1 (pow.f64 x 4))) (sqrt.f64 (*.f64 x (fma.f64 x x -1))))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 -1 (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(.f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 x x -1))) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (.f64 (/.f64 x (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))) (fma.f64 x x -1)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (cbrt.f64 (+.f64 -1 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x x -1)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 x x -1))) (+.f64 -1 (pow.f64 x 4))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x x -1)) 2)) (.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 4))) (cbrt.f64 (.f64 x (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 3) x) 2)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (+.f64 -1 (pow.f64 x 4))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x x -1)) 2)) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 x x -1))) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 3) x) 2)) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) x)) (sqrt.f64 (+.f64 -1 (pow.f64 x 4)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x x -1)) 2)) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (/.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x x -1)) 2)) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 3) x) 2)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 4))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1)))))
(.f64 (/.f64 (fma.f64 x x -1) (-.f64 1 (pow.f64 x 8))) (.f64 x (-.f64 -1 (pow.f64 x 4))))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 x 8))) (.f64 x (*.f64 (fma.f64 x x -1) (-.f64 -1 (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 x 3) x) (/.f64 (-.f64 1 (pow.f64 x 8)) (-.f64 -1 (pow.f64 x 4))))
(*.f64 (-.f64 -1 (pow.f64 x 4)) (/.f64 (-.f64 (pow.f64 x 3) x) (-.f64 1 (pow.f64 x 8))))
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(/.f64 (fma.f64 x -1 (pow.f64 x 7)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 4)) x) (fma.f64 x x 1))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1)) x)
(/.f64 (fma.f64 x -1 (pow.f64 x 5)) (fma.f64 x x 1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 6)) x) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 x 6))) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (fma.f64 x -1 (pow.f64 x 7)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (/.f64 (*.f64 x (+.f64 -1 (pow.f64 x 4))) 1) (fma.f64 x x 1))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1)) x)
(/.f64 (fma.f64 x -1 (pow.f64 x 5)) (fma.f64 x x 1))
(/.f64 (/.f64 (*.f64 x (+.f64 -1 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x x 1))) (sqrt.f64 (fma.f64 x x 1)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1)) x)
(/.f64 (fma.f64 x -1 (pow.f64 x 5)) (fma.f64 x x 1))
(/.f64 (/.f64 (.f64 x (+.f64 -1 (pow.f64 x 4))) (.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (fma.f64 x x 1)))) (cbrt.f64 (fma.f64 x x 1)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1)) x)
(/.f64 (fma.f64 x -1 (pow.f64 x 5)) (fma.f64 x x 1))
(/.f64 (/.f64 (*.f64 x (+.f64 -1 (pow.f64 x 6))) 1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 x 6))) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (fma.f64 x -1 (pow.f64 x 7)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (/.f64 (*.f64 x (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 x 6))) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (fma.f64 x -1 (pow.f64 x 7)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (/.f64 (.f64 x (+.f64 -1 (pow.f64 x 6))) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 x 6))) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (fma.f64 x -1 (pow.f64 x 7)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 x 4)) x) 1) (fma.f64 x x 1))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1)) x)
(/.f64 (fma.f64 x -1 (pow.f64 x 5)) (fma.f64 x x 1))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 x 4)) x) (sqrt.f64 (fma.f64 x x 1))) (sqrt.f64 (fma.f64 x x 1)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1)) x)
(/.f64 (fma.f64 x -1 (pow.f64 x 5)) (fma.f64 x x 1))
(/.f64 (/.f64 (.f64 (+.f64 -1 (pow.f64 x 4)) x) (.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (fma.f64 x x 1)))) (cbrt.f64 (fma.f64 x x 1)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1)) x)
(/.f64 (fma.f64 x -1 (pow.f64 x 5)) (fma.f64 x x 1))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 x 6)) x) 1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 x 6))) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (fma.f64 x -1 (pow.f64 x 7)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 x 6)) x) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 x 6))) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (fma.f64 x -1 (pow.f64 x 7)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (/.f64 (.f64 (+.f64 -1 (pow.f64 x 6)) x) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 x 6))) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (fma.f64 x -1 (pow.f64 x 7)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(pow.f64 (*.f64 x (fma.f64 x x -1)) 1)
(fma.f64 x -1 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x x -1))) 2)
(fma.f64 x -1 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x -1))) 3)
(fma.f64 x -1 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x x -1)) 3) 1/3)
(fma.f64 x -1 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x x -1)) 2))
(fabs.f64 (-.f64 (pow.f64 x 3) x))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x -1)))
(fma.f64 x -1 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x x -1)))))
(fma.f64 x -1 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x x -1)) 3))
(fma.f64 x -1 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3)))
(fma.f64 x -1 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 3) (pow.f64 x 3)))
(fma.f64 x -1 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x -1))))
(fma.f64 x -1 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(exp.f64 (log.f64 (*.f64 x (fma.f64 x x -1))))
(fma.f64 x -1 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x x -1))) 1))
(fma.f64 x -1 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x -1))))
(fma.f64 x -1 (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)

eval79.0ms (3.5%)

Compiler: Compiled 4202 to 3000 computations (28.6% saved)

prune29.0ms (1.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	245	0	245
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	245	5	250

Error

Counts

250 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.2b	(/.f64 (.f64 (-.f64 (.f64 x x) 1) x) (+.f64 -1 (pow.f64 x 4)))
✓	17.1b	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	27.9b	(/.f64 1 x)
✓	35.4b	(.f64 x (-.f64 1 (.f64 x x)))
	34.5b	x

Compiler

Compiled 36 to 24 computations (33.3% saved)

eval0.0ms (0%)

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

prune3.0ms (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
✓	27.2b	(/.f64 (.f64 (-.f64 (.f64 x x) 1) x) (+.f64 -1 (pow.f64 x 4)))
✓	17.1b	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	27.9b	(/.f64 1 x)
✓	35.4b	(.f64 x (-.f64 1 (.f64 x x)))
	34.5b	x

Compiler

Compiled 36 to 24 computations (33.3% saved)

regimes26.0ms (1.2%)

Counts

7 → 3

Calls

Call 1

Inputs
x
(/.f64 1 x)
(.f64 x (-.f64 1 (.f64 x x)))
(/.f64 x (+.f64 (*.f64 x x) 1))
(-.f64 x (pow.f64 x 3))
(/.f64 (.f64 (-.f64 (.f64 x x) 1) x) (+.f64 -1 (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))

Outputs
(/.f64 1 x)
(/.f64 (.f64 (-.f64 (.f64 x x) 1) x) (+.f64 -1 (pow.f64 x 4)))
(/.f64 1 x)

Calls

2 calls:

14.0ms	x
11.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))

Results

Error	Segments	Branch
0.0b	3	`x`
0.1b	3	`(/.f64 x (+.f64 (*.f64 x x) 1))`

Compiler

Compiled 58 to 35 computations (39.7% saved)

bsearch3.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
2.0ms	243684.2421080027	2.9056686299986946e+21
2.0ms	-1974925765959.9084	-214536979898.24564

Results

3.0ms

32×

body

256

valid

Compiler

Compiled 52 to 38 computations (26.9% saved)

regimes49.0ms (2.2%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

36.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))
11.0ms	x

Results

Error	Segments	Branch
0.0b	3	`x`
0.1b	3	`(/.f64 x (+.f64 (*.f64 x x) 1))`

Compiler

Compiled 34 to 19 computations (44.1% saved)

bsearch5.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
1.0ms	243684.2421080027	2.9056686299986946e+21
3.0ms	-1974925765959.9084	-214536979898.24564

Results

4.0ms

48×

body

256

valid

Compiler

Compiled 54 to 38 computations (29.6% saved)

regimes11.0ms (0.5%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch43.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	0.002794964319444112	78.32360067424479
13.0ms	-6.066776177232891	-2.810519999662077e-5

Results

40.0ms

272×

body

256

valid

Compiler

Compiled 250 to 178 computations (28.8% saved)

regimes9.0ms (0.4%)

Accuracy

Total -60.7b remaining (-7372.3%)

Threshold costs -60.7b (-7372.3%)

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
0.8b	3	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

bsearch25.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	0.002794964319444112	78.32360067424479
14.0ms	-6.066776177232891	-2.810519999662077e-5

Results

22.0ms

272×

body

256

valid

Compiler

Compiled 148 to 110 computations (25.7% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	205
1	67	205
2	75	205
3	79	205
4	81	205

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -1000000000000) (/.f64 1 x) (if (<=.f64 x 400000) (/.f64 (.f64 (-.f64 (.f64 x x) 1) x) (+.f64 -1 (pow.f64 x 4))) (/.f64 1 x)))
(if (<=.f64 x -500000000000) (/.f64 1 x) (if (<=.f64 x 400000) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x)))
(if (<=.f64 x -7656119366529843/9007199254740992) (/.f64 1 x) (if (<=.f64 x 7656119366529843/9007199254740992) (.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

Outputs
(if (<=.f64 x -1000000000000) (/.f64 1 x) (if (<=.f64 x 400000) (/.f64 (.f64 (-.f64 (.f64 x x) 1) x) (+.f64 -1 (pow.f64 x 4))) (/.f64 1 x)))
(if (<=.f64 x -1000000000000) (/.f64 1 x) (if (<=.f64 x 400000) (/.f64 (.f64 x (+.f64 (.f64 x x) -1)) (+.f64 -1 (pow.f64 x 4))) (/.f64 1 x)))
(if (<=.f64 x -500000000000) (/.f64 1 x) (if (<=.f64 x 400000) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x)))
(if (<=.f64 x -500000000000) (/.f64 1 x) (if (<=.f64 x 400000) (/.f64 x (+.f64 1 (*.f64 x x))) (/.f64 1 x)))
(if (<=.f64 x -7656119366529843/9007199254740992) (/.f64 1 x) (if (<=.f64 x 7656119366529843/9007199254740992) (.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 90 to 62 computations (31.1% saved)

soundness81.0ms (3.6%)

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

Compiler

Compiled 101 to 66 computations (34.7% saved)

end70.0ms (3.1%)

Compiler: Compiled 86 to 56 computations (34.9% saved)

Details

analyze4.0ms (0.2%)

sample780.0ms (34.6%)

preprocess4.0ms (0.2%)

simplify11.0ms (0.5%)

eval3.0ms (0.1%)

prune1.0ms (0%)

localize6.0ms (0.3%)

series1.0ms (0%)

rewrite56.0ms (2.5%)

simplify56.0ms (2.5%)

eval56.0ms (2.5%)

prune10.0ms (0.4%)

localize5.0ms (0.2%)

series1.0ms (0.1%)

rewrite73.0ms (3.2%)

simplify86.0ms (3.8%)

localize3.0ms (0.1%)

localize13.0ms (0.6%)

series1.0ms (0%)

rewrite83.0ms (3.7%)

simplify139.0ms (6.2%)

eval103.0ms (4.5%)

prune35.0ms (1.6%)

localize6.0ms (0.3%)

series1.0ms (0%)

rewrite53.0ms (2.3%)

simplify55.0ms (2.4%)

localize14.0ms (0.6%)

series2.0ms (0.1%)

rewrite74.0ms (3.3%)

simplify82.0ms (3.6%)

eval79.0ms (3.5%)

prune29.0ms (1.3%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes26.0ms (1.2%)

bsearch3.0ms (0.1%)

regimes49.0ms (2.2%)

bsearch5.0ms (0.2%)

regimes11.0ms (0.5%)

bsearch43.0ms (1.9%)

regimes9.0ms (0.4%)

bsearch25.0ms (1.1%)

simplify8.0ms (0.3%)

soundness81.0ms (3.6%)

end70.0ms (3.1%)

Profiling