Details

analyze3.0ms (0.1%)

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)

sample1.0s (57.4%)

Results

1.0s

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)

simplify27.0ms (1.5%)

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))

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

12.6b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.6b	(/.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
✓	12.6b	(/.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	@	0	(/.f64 x (+.f64 (*.f64 x x) 1))
0.0ms	x	@	-inf	(/.f64 x (+.f64 (*.f64 x x) 1))

rewrite55.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

Outputs

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

simplify56.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

45 → 67

Calls

Call 1

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

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

eval17.0ms (0.9%)

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

prune10.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	4	68

Error

Counts

68 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.4b	(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
✓	12.6b	(/.f64 x (+.f64 (*.f64 x x) 1))
▶	32.4b	(/.f64 1 x)
	29.6b	x

Compiler

Compiled 26 to 18 computations (30.8% saved)

localize3.0ms (0.1%)

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

localize13.0ms (0.7%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	21.1b	(/.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

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
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 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))

rewrite106.0ms (5.8%)

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	31
1	260	31
2	3487	31

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

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

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

Outputs

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

simplify115.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

1392×	`associate-+l+`
700×	`associate-*r/`
680×	`associate-+l-`
654×	`associate-+r-`
602×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	136	2368
1	370	2284
2	1320	2284
3	6166	2284

Stop Event

1×	node limit

Counts

60 → 81

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 (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)))))

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

eval30.0ms (1.6%)

Compiler: Compiled 1398 to 1087 computations (22.2% saved)

prune10.0ms (0.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	81	4	85

Error

Counts

85 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.4b	(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
✓	12.6b	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	32.4b	(/.f64 1 x)
	29.6b	x

Compiler

Compiled 26 to 18 computations (30.8% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.4b	(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
✓	12.6b	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	32.4b	(/.f64 1 x)
	29.6b	x

Compiler

Compiled 26 to 18 computations (30.8% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.4b	(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
✓	12.6b	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	32.4b	(/.f64 1 x)
	29.6b	x

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes22.0ms (1.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))
10.0ms	x

Results

Error	Segments	Branch
0b	3	`x`
0.1b	3	`(/.f64 x (+.f64 (*.f64 x x) 1))`

Compiler

Compiled 33 to 21 computations (36.4% saved)

bsearch41.0ms (2.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
7.0ms	0.00481162823606828	1332470342916181.5
33.0ms	-1113046333.4123042	-0.07140674116777827

Results

39.0ms

144×

body

256

valid

Compiler

Compiled 174 to 134 computations (23% saved)

regimes21.0ms (1.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	x
8.0ms	(/.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 22 to 13 computations (40.9% saved)

bsearch10.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
3.0ms	0.00481162823606828	1332470342916181.5
7.0ms	-1113046333.4123042	-0.07140674116777827

Results

8.0ms

96×

body

256

valid

Compiler

Compiled 96 to 68 computations (29.2% saved)

regimes9.0ms (0.5%)

Accuracy

Total -60.9b remaining (-11418.5%)

Threshold costs -60.9b (-11418.5%)

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
0.5b	3	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

bsearch72.0ms (4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.00481162823606828	1332470342916181.5
56.0ms	-1113046333.4123042	-0.07140674116777827

Results

26.0ms

320×

body

256

valid

Compiler

Compiled 172 to 128 computations (25.6% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
6×	`if-if-or-not`
4×	`sub-neg`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	148
1	51	148
2	54	148
3	56	148
4	57	148

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -1000000000) (/.f64 1 x) (if (<=.f64 x 50000000) (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) (/.f64 1 x)))
(if (<=.f64 x -1000000000) (/.f64 1 x) (if (<=.f64 x 5000000) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x)))
(if (<=.f64 x -1) (/.f64 1 x) (if (<=.f64 x 1) x (/.f64 1 x)))
x

Outputs
(if (<=.f64 x -1000000000) (/.f64 1 x) (if (<=.f64 x 50000000) (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4))) (/.f64 1 x)))
(if (<=.f64 x -1000000000) (/.f64 1 x) (if (<=.f64 x 5000000) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x)))
(if (<=.f64 x -1000000000) (/.f64 1 x) (if (<=.f64 x 5000000) (/.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 66 to 46 computations (30.3% saved)

soundness85.0ms (4.7%)

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)

end47.0ms (2.6%)

Compiler: Compiled 63 to 43 computations (31.7% saved)

Details

analyze3.0ms (0.1%)

sample1.0s (57.4%)

preprocess4.0ms (0.2%)

simplify27.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.3%)

series1.0ms (0%)

rewrite55.0ms (3%)

simplify56.0ms (3.1%)

eval17.0ms (0.9%)

prune10.0ms (0.5%)

localize3.0ms (0.1%)

localize13.0ms (0.7%)

series1.0ms (0%)

rewrite106.0ms (5.8%)

simplify115.0ms (6.3%)

eval30.0ms (1.6%)

prune10.0ms (0.6%)

eval0.0ms (0%)

prune3.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes22.0ms (1.2%)

bsearch41.0ms (2.2%)

regimes21.0ms (1.2%)

bsearch10.0ms (0.6%)

regimes9.0ms (0.5%)

bsearch72.0ms (4%)

simplify7.0ms (0.4%)

soundness85.0ms (4.7%)

end47.0ms (2.6%)

Profiling