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 (31.9%)

Results

1.0s

8256×

body

256

valid

Bogosity

preprocess4.0ms (0.1%)

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)

simplify40.0ms (1.2%)

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

15.8b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.8b	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x x) 1)
✓	15.8b	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 18 to 8 computations (55.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 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))
0.0ms	x	@	inf	(+.f64 (*.f64 x x) 1)
0.0ms	x	@	0	(+.f64 (*.f64 x x) 1)

rewrite62.0ms (1.9%)

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	24
1	151	24
2	2029	24

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

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

simplify61.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1452×	`associate-/r*`
1132×	`associate-/l*`
986×	`associate-*r/`
814×	`unswap-sqr`
742×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	2094
1	425	1876
2	1665	1584

Stop Event

1×	node limit

Counts

88 → 103

Calls

Call 1

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

eval26.0ms (0.8%)

Compiler: Compiled 1194 to 801 computations (32.9% saved)

prune15.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	97	6	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	97	7	104

Error

Counts

104 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.6b	(/.f64 x (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (*.f64 x x))))
✓	15.8b	(/.f64 x (+.f64 (*.f64 x x) 1))
▶	45.5b	(/.f64 x (*.f64 x x))
▶	29.4b	(/.f64 1 x)
▶	33.8b	(-.f64 x (pow.f64 x 3))
▶	15.9b	(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
	32.9b	x

Compiler

Compiled 88 to 58 computations (34.1% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (fma.f64 x x 1))
✓	15.6b	(*.f64 (/.f64 1 (fma.f64 x x 1)) x)

Compiler

Compiled 21 to 13 computations (38.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite74.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

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

Outputs

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

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

simplify99.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

68 → 101

Calls

Call 1

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

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

localize2.0ms (0.1%)

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	28.0b	(/.f64 x (*.f64 x x))

Compiler

Compiled 10 to 3 computations (70% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite79.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1038×	`add-sqr-sqrt`
1022×	`*-un-lft-identity`
956×	`pow1`
956×	`add-cube-cbrt`
942×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	107	7
2	1548	7

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

Outputs

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

simplify49.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1382×	`distribute-lft-neg-in`
1310×	`associate-r`
1208×	`times-frac`
1054×	`associate-l`
670×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	443
1	190	413
2	586	377
3	5733	377

Stop Event

1×	node limit

Counts

41 → 34

Calls

Call 1

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

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

localize5.0ms (0.1%)

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%)

Counts

1 → 12

Calls

3 calls:

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

rewrite216.0ms (6.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify60.0ms (1.9%)

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))

localize15.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (pow.f64 x 4))
✓	15.8b	(/.f64 x (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (*.f64 x x))))
✓	19.0b	(/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (*.f64 x x)))

Compiler

Compiled 44 to 27 computations (38.6% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 x (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (*.f64 x x))))
0.0ms	x	@	inf	(/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (*.f64 x x)))
0.0ms	x	@	0	(/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (*.f64 x x)))
0.0ms	x	@	-inf	(/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (*.f64 x x)))
0.0ms	x	@	inf	(/.f64 x (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (*.f64 x x))))

rewrite97.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1296×	`associate-/l/`
840×	`distribute-rgt-in`
798×	`distribute-lft-in`
558×	`distribute-lft-neg-in`
494×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	81
1	257	45
2	3653	45

Stop Event

1×	node limit

Counts

3 → 180

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))) (/.f64 1 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 1) (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (neg.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 1) (*.f64 (neg.f64 (/.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (neg.f64 (pow.f64 x 4))) (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4))) 1) (*.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4))) (*.f64 x x)) (*.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4))) (/.f64 1 (-.f64 1 (*.f64 x x)))) (*.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4))) (neg.f64 (/.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6))) 1) (*.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6))) (*.f64 x (+.f64 x (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6))) (*.f64 x (+.f64 x (pow.f64 x 3)))) (*.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6))) (+.f64 1 (pow.f64 x 4))) (*.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4)))) (*.f64 (*.f64 x x) (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4)))) (*.f64 1 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4)))) (*.f64 (neg.f64 (/.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))) (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6)))) (*.f64 (*.f64 x (+.f64 x (pow.f64 x 3))) (/.f64 (-.f64 1 (pow.f64 x 4)) 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simplify157.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

718×	`times-frac`
698×	`associate-r`
686×	`associate-/r*`
672×	`associate-l`
648×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	443	5772
1	1232	5118
2	6274	5118

Stop Event

1×	node limit

Counts

216 → 254

Calls

Call 1

Inputs
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (.f64 -1 (pow.f64 x 7)) x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(*.f64 -1 (pow.f64 x 4))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(*.f64 -1 (pow.f64 x 4))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(+.f64 1 (*.f64 x x))
(+.f64 (*.f64 x x) 1)
(+.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (neg.f64 (/.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x)))))
(+.f64 (neg.f64 (/.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x)))) (/.f64 1 (-.f64 1 (.f64 x x))))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 1) (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (neg.f64 (pow.f64 x 4))))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 1) (.f64 (neg.f64 (/.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x)))) 1))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (neg.f64 (pow.f64 x 4))) (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 1))
(+.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4))) 1) (.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4))) (*.f64 x x)))
(+.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4))) (.f64 x x)) (*.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4))) 1))
(+.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4))) (/.f64 1 (-.f64 1 (.f64 x x)))) (.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4))) (neg.f64 (/.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x))))))
(+.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6))) 1) (.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6))) (*.f64 x (+.f64 x (pow.f64 x 3)))))
(+.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6))) (.f64 x (+.f64 x (pow.f64 x 3)))) (*.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6))) 1))
(+.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6))) (+.f64 1 (pow.f64 x 4))) (.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6))) (*.f64 x x)))
(+.f64 (.f64 1 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4)))) (.f64 (*.f64 x x) (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 (.f64 x x) (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4)))) (*.f64 1 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4)))) (.f64 (neg.f64 (/.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x)))) (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 1 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6)))) (.f64 (*.f64 x (+.f64 x (pow.f64 x 3))) (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 (.f64 x (+.f64 x (pow.f64 x 3))) (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6)))) (*.f64 1 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 (+.f64 1 (pow.f64 x 4)) (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6)))) (.f64 (*.f64 x x) (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6)))))
(-.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 x x)) 0)
(-.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x))))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (*.f64 x x)))) 1)
(-.f64 (+.f64 2 (*.f64 x x)) 1)
(.f64 1 (+.f64 1 (.f64 x x)))
(.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (-.f64 1 (.f64 x x))))
(.f64 (-.f64 1 (pow.f64 x 4)) (neg.f64 (neg.f64 (/.f64 1 (-.f64 1 (.f64 x x))))))
(.f64 (+.f64 1 (.f64 x x)) 1)
(.f64 (+.f64 1 (.f64 x x)) (-.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (/.f64 (pow.f64 x 4) (-.f64 1 (pow.f64 x 4)))))
(.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))))))
(.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (/.f64 1 (-.f64 1 (*.f64 x x)))))
(.f64 (cbrt.f64 (+.f64 1 (.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 x x))) 2) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 x x))) 2) (neg.f64 (neg.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 2)) (.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (/.f64 1 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 1 (pow.f64 x 4)))
(.f64 (+.f64 1 (.f64 x (+.f64 x (pow.f64 x 3)))) (-.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (/.f64 (pow.f64 x 4) (-.f64 1 (pow.f64 x 6)))))
(.f64 (+.f64 (pow.f64 x 4) -1) (neg.f64 (/.f64 1 (-.f64 1 (.f64 x x)))))
(.f64 (+.f64 (pow.f64 x 4) -1) (/.f64 1 (+.f64 (.f64 x x) -1)))
(.f64 (sqrt.f64 (-.f64 -1 (.f64 x x))) (neg.f64 (sqrt.f64 (-.f64 -1 (*.f64 x x)))))
(.f64 (.f64 (cbrt.f64 (-.f64 -1 (.f64 x x))) (cbrt.f64 (-.f64 -1 (.f64 x x)))) (neg.f64 (cbrt.f64 (-.f64 -1 (*.f64 x x)))))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (-.f64 1 (pow.f64 x 4)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (/.f64 (-.f64 1 (pow.f64 x 4)) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 x x)))
(.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6))) (+.f64 1 (.f64 x (+.f64 x (pow.f64 x 3)))))
(.f64 -1 (-.f64 -1 (.f64 x x)))
(.f64 (neg.f64 (sqrt.f64 (+.f64 1 (.f64 x x)))) (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 x x))) 2)) (neg.f64 (cbrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (-.f64 1 (.f64 x x))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (-.f64 1 (.f64 x x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 2)) (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 2)) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (neg.f64 (sqrt.f64 (-.f64 -1 (.f64 x x)))) (sqrt.f64 (-.f64 -1 (*.f64 x x))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (-.f64 -1 (.f64 x x))) (cbrt.f64 (-.f64 -1 (.f64 x x))))) (cbrt.f64 (-.f64 -1 (*.f64 x x))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 (.f64 x x))))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 x x))) 2))) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(pow.f64 (+.f64 1 (*.f64 x x)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (*.f64 x x)) 3) 1/3)
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (*.f64 x x)))) -1)
(neg.f64 (-.f64 -1 (*.f64 x x)))
(sqrt.f64 (pow.f64 (+.f64 1 (*.f64 x x)) 2))
(log.f64 (exp.f64 (+.f64 1 (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (*.f64 x x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)))
(expm1.f64 (log.f64 (+.f64 2 (*.f64 x x))))
(exp.f64 (log1p.f64 (*.f64 x x)))
(exp.f64 (.f64 (log1p.f64 (.f64 x x)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (*.f64 x x))))
(+.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (.f64 (neg.f64 (.f64 x x)) (/.f64 x (-.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (.f64 1 (.f64 (neg.f64 (*.f64 x x)) (/.f64 x (-.f64 1 (pow.f64 x 4))))))
(+.f64 (.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) 1) (.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (neg.f64 (*.f64 x x))))
(+.f64 (.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) 1) (.f64 (.f64 (neg.f64 (.f64 x x)) (/.f64 x (-.f64 1 (pow.f64 x 4)))) 1))
(+.f64 (.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (neg.f64 (.f64 x x))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) 1))
(+.f64 (.f64 (neg.f64 (.f64 x x)) (/.f64 x (-.f64 1 (pow.f64 x 4)))) (/.f64 x (-.f64 1 (pow.f64 x 4))))
(+.f64 (.f64 1 (.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) 1)) (.f64 1 (.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (neg.f64 (*.f64 x x)))))
(+.f64 (.f64 1 (.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) 1)) (.f64 (neg.f64 (.f64 x x)) (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) 1)))
(+.f64 (.f64 (.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) 1) 1) (.f64 (.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) 1) (neg.f64 (*.f64 x x))))
(+.f64 (.f64 (.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) 1) 1) (.f64 (.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (neg.f64 (*.f64 x x))) 1))
(+.f64 (.f64 (.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) 1) (neg.f64 (.f64 x x))) (.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) 1) 1))
(+.f64 (.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) -1) (.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (*.f64 x x)))
(+.f64 (.f64 (neg.f64 (.f64 x x)) (.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) 1)) (.f64 1 (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) 1)))
(+.f64 (.f64 -1 (/.f64 x (+.f64 (pow.f64 x 4) -1))) (.f64 (*.f64 x x) (/.f64 x (+.f64 (pow.f64 x 4) -1))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (*.f64 x x))))) 1)
(.f64 1 (/.f64 x (+.f64 1 (.f64 x x))))
(.f64 x (exp.f64 (neg.f64 (log1p.f64 (.f64 x x)))))
(.f64 (-.f64 1 (.f64 x x)) (/.f64 x (-.f64 1 (pow.f64 x 4))))
(.f64 (/.f64 x (+.f64 1 (.f64 x x))) 1)
(.f64 (sqrt.f64 (/.f64 x (+.f64 1 (.f64 x x)))) (sqrt.f64 (/.f64 x (+.f64 1 (*.f64 x x)))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (exp.f64 (neg.f64 (log1p.f64 (*.f64 x x))))))
(.f64 (cbrt.f64 (/.f64 x (+.f64 1 (.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (*.f64 x x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (.f64 x x)))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (*.f64 x x)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (exp.f64 (neg.f64 (log1p.f64 (*.f64 x x))))))
(.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (-.f64 1 (.f64 x x)))
(.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (.f64 x x))))
(.f64 (exp.f64 (neg.f64 (log1p.f64 (.f64 x x)))) x)
(.f64 (.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) 1) (-.f64 1 (*.f64 x x)))
(.f64 (.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 (-.f64 1 (.f64 x x))))
(.f64 (.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (cbrt.f64 (-.f64 1 (.f64 x x))))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (/.f64 x (/.f64 1 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 x x)))) (/.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 x x))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (/.f64 x 1) (exp.f64 (neg.f64 (log1p.f64 (.f64 x x)))))
(.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (+.f64 (.f64 x x) -1))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (.f64 x x))))
(.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (pow.f64 x 4))) (/.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (.f64 x x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (.f64 x x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (pow.f64 x 4))) (/.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 (.f64 x x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (.f64 x x))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (*.f64 x x)))))
(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)
(pow.f64 (/.f64 (+.f64 1 (*.f64 x x)) x) -1)
(neg.f64 (/.f64 x (-.f64 -1 (*.f64 x x))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (*.f64 x x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (*.f64 x x)))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (*.f64 x x))))
(exp.f64 (.f64 (-.f64 (log.f64 x) (log1p.f64 (.f64 x x))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (*.f64 x x)))))
(+.f64 1 (neg.f64 (pow.f64 x 4)))
(+.f64 (neg.f64 (pow.f64 x 4)) 1)
(+.f64 (-.f64 1 (+.f64 1 (pow.f64 x 4))) 1)
(*.f64 1 (-.f64 1 (pow.f64 x 4)))
(*.f64 (-.f64 1 (pow.f64 x 4)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (-.f64 1 (pow.f64 x 4))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 2)) (neg.f64 (neg.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))))))
(*.f64 (-.f64 1 (pow.f64 x 8)) (/.f64 1 (+.f64 1 (pow.f64 x 4))))
(*.f64 (-.f64 1 (pow.f64 x 12)) (/.f64 1 (+.f64 (pow.f64 x 8) (+.f64 1 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))))
(.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (neg.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1))))
(*.f64 -1 (+.f64 (pow.f64 x 4) -1))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4)))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 2))) (neg.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4)))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (+.f64 (pow.f64 x 4) -1)))
(.f64 (neg.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1)))) (cbrt.f64 (+.f64 (pow.f64 x 4) -1)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))))) (sqrt.f64 (-.f64 1 (pow.f64 x 4))))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 x 4))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 8))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 8) (+.f64 1 (pow.f64 x 4))) (-.f64 1 (pow.f64 x 12))))
(/.f64 1 (*.f64 1 (/.f64 (+.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 8)))))
(/.f64 1 (*.f64 1 (/.f64 (+.f64 (pow.f64 x 8) (+.f64 1 (pow.f64 x 4))) (-.f64 1 (pow.f64 x 12)))))
(/.f64 (-.f64 1 (pow.f64 x 4)) 1)
(/.f64 (-.f64 1 (pow.f64 x 8)) (+.f64 1 (pow.f64 x 4)))
(/.f64 (-.f64 1 (pow.f64 x 12)) (+.f64 (pow.f64 x 8) (+.f64 1 (pow.f64 x 4))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 8))) (neg.f64 (+.f64 1 (pow.f64 x 4))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 12))) (neg.f64 (+.f64 (pow.f64 x 8) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 x 4)))) (+.f64 1 (pow.f64 x 4)))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 12) (pow.f64 x 12))) (.f64 (+.f64 (pow.f64 x 8) (+.f64 1 (pow.f64 x 4))) (+.f64 1 (pow.f64 x 12))))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 8) (pow.f64 x 8))) (.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 8))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x 4)) 3)) (+.f64 1 (*.f64 (neg.f64 (pow.f64 x 4)) (-.f64 (neg.f64 (pow.f64 x 4)) 1))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x 4)) 3)) (.f64 1 (+.f64 1 (.f64 (neg.f64 (pow.f64 x 4)) (-.f64 (neg.f64 (pow.f64 x 4)) 1)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x 12) 3)) (.f64 (+.f64 (pow.f64 x 8) (+.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 (pow.f64 x 12) (+.f64 1 (pow.f64 x 12))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x 8) 3)) (.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (.f64 (pow.f64 x 8) (+.f64 1 (pow.f64 x 8))))))
(pow.f64 (-.f64 1 (pow.f64 x 4)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 3) 1/3)
(neg.f64 (+.f64 (pow.f64 x 4) -1))
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 2))
(log.f64 (exp.f64 (-.f64 1 (pow.f64 x 4))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 x 4)))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 3))
(expm1.f64 (log.f64 (-.f64 2 (pow.f64 x 4))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x 4))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 x 4))))

Outputs
1
(+.f64 1 (pow.f64 x 2))
(fma.f64 x x 1)
(+.f64 1 (pow.f64 x 2))
(fma.f64 x x 1)
(+.f64 1 (pow.f64 x 2))
(fma.f64 x x 1)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 1 (pow.f64 x 2))
(fma.f64 x x 1)
(+.f64 1 (pow.f64 x 2))
(fma.f64 x x 1)
(+.f64 1 (pow.f64 x 2))
(fma.f64 x x 1)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 1 (pow.f64 x 2))
(fma.f64 x x 1)
(+.f64 1 (pow.f64 x 2))
(fma.f64 x x 1)
(+.f64 1 (pow.f64 x 2))
(fma.f64 x x 1)
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 (.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 (pow.f64 x 5) (-.f64 (-.f64 x (pow.f64 x 3)) (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 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (/.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 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 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (/.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 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(-.f64 1 (pow.f64 x 4))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(-.f64 1 (pow.f64 x 4))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(-.f64 1 (pow.f64 x 4))
(*.f64 -1 (pow.f64 x 4))
(neg.f64 (pow.f64 x 4))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(-.f64 1 (pow.f64 x 4))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(-.f64 1 (pow.f64 x 4))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(-.f64 1 (pow.f64 x 4))
(*.f64 -1 (pow.f64 x 4))
(neg.f64 (pow.f64 x 4))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(-.f64 1 (pow.f64 x 4))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(-.f64 1 (pow.f64 x 4))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(-.f64 1 (pow.f64 x 4))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(+.f64 (*.f64 x x) 1)
(fma.f64 x x 1)
(+.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (neg.f64 (/.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x)))))
(-.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x (neg.f64 x) 1))
(+.f64 (neg.f64 (/.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x)))) (/.f64 1 (-.f64 1 (.f64 x x))))
(-.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x (neg.f64 x) 1))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 1) (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (neg.f64 (pow.f64 x 4))))
(-.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x (neg.f64 x) 1))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 1) (.f64 (neg.f64 (/.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x)))) 1))
(-.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x (neg.f64 x) 1))
(+.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (neg.f64 (pow.f64 x 4))) (.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 1))
(-.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x (neg.f64 x) 1))
(+.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4))) 1) (.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4))) (*.f64 x x)))
(fma.f64 x x 1)
(+.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4))) (.f64 x x)) (*.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4))) 1))
(fma.f64 x x 1)
(+.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4))) (/.f64 1 (-.f64 1 (.f64 x x)))) (.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4))) (neg.f64 (/.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x))))))
(-.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x (neg.f64 x) 1))
(+.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6))) 1) (.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6))) (*.f64 x (+.f64 x (pow.f64 x 3)))))
(.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6))) (+.f64 1 (.f64 x (+.f64 x (pow.f64 x 3)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(+.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6))) (.f64 x (+.f64 x (pow.f64 x 3)))) (*.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 6))) 1))
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(/.f64 x (fma.f64 x x 1))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (exp.f64 (neg.f64 (log1p.f64 (*.f64 x x))))))
(.f64 x (exp.f64 (neg.f64 (log1p.f64 (.f64 x x)))))
(/.f64 x (exp.f64 (log1p.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (/.f64 x (+.f64 1 (.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (*.f64 x x)))) 2))
(/.f64 x (fma.f64 x x 1))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (.f64 x x)))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (*.f64 x x)))))
(/.f64 x (fma.f64 x x 1))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (exp.f64 (neg.f64 (log1p.f64 (*.f64 x x))))))
(.f64 x (exp.f64 (neg.f64 (log1p.f64 (.f64 x x)))))
(/.f64 x (exp.f64 (log1p.f64 (*.f64 x x))))
(.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (-.f64 1 (.f64 x x)))
(.f64 (-.f64 1 (.f64 x x)) (/.f64 x (-.f64 1 (pow.f64 x 4))))
(/.f64 (-.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4)))
(.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (.f64 x x))))
(/.f64 (.f64 (neg.f64 x) 1) (-.f64 -1 (.f64 x x)))
(/.f64 (neg.f64 x) (-.f64 -1 (*.f64 x x)))
(.f64 (exp.f64 (neg.f64 (log1p.f64 (.f64 x x)))) x)
(.f64 x (exp.f64 (neg.f64 (log1p.f64 (.f64 x x)))))
(/.f64 x (exp.f64 (log1p.f64 (*.f64 x x))))
(.f64 (.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) 1) (-.f64 1 (*.f64 x x)))
(.f64 (-.f64 1 (.f64 x x)) (/.f64 x (-.f64 1 (pow.f64 x 4))))
(/.f64 (-.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4)))
(.f64 (.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 (-.f64 1 (.f64 x x))))
(.f64 (-.f64 1 (.f64 x x)) (/.f64 x (-.f64 1 (pow.f64 x 4))))
(/.f64 (-.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4)))
(.f64 (.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (cbrt.f64 (-.f64 1 (.f64 x x))))
(.f64 (-.f64 1 (.f64 x x)) (/.f64 x (-.f64 1 (pow.f64 x 4))))
(/.f64 (-.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4)))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (/.f64 x (/.f64 1 (-.f64 1 (.f64 x x)))))
(.f64 (-.f64 1 (.f64 x x)) (/.f64 x (-.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 (.f64 x x)))) (/.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(/.f64 x (fma.f64 x x 1))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 x x))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (*.f64 x x)))))
(/.f64 x (fma.f64 x x 1))
(.f64 (/.f64 x 1) (exp.f64 (neg.f64 (log1p.f64 (.f64 x x)))))
(.f64 x (exp.f64 (neg.f64 (log1p.f64 (.f64 x x)))))
(/.f64 x (exp.f64 (log1p.f64 (*.f64 x x))))
(.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (+.f64 (.f64 x x) -1))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 -1 (pow.f64 x 4)))
(*.f64 (fma.f64 x x -1) (/.f64 x (+.f64 -1 (pow.f64 x 4))))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (.f64 x x))))
(/.f64 x (fma.f64 x x 1))
(.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (pow.f64 x 4))) (/.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 (.f64 x x)))))
(.f64 (-.f64 1 (.f64 x x)) (/.f64 x (-.f64 1 (pow.f64 x 4))))
(/.f64 (-.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4)))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (.f64 x x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (*.f64 x x)))))
(/.f64 x (fma.f64 x x 1))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (.f64 x x))))
(/.f64 x (fma.f64 x x 1))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (pow.f64 x 4))) (/.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 (.f64 x x)))))
(.f64 (-.f64 1 (.f64 x x)) (/.f64 x (-.f64 1 (pow.f64 x 4))))
(/.f64 (-.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 (.f64 x x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(/.f64 x (fma.f64 x x 1))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (.f64 x x))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (*.f64 x x)))))
(*.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)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1)))))
(pow.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 1)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (*.f64 x x)))) 2)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (*.f64 x x)))) 3)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 3) 1/3)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (/.f64 (+.f64 1 (*.f64 x x)) x) -1)
(/.f64 x (fma.f64 x x 1))
(neg.f64 (/.f64 x (-.f64 -1 (*.f64 x x))))
(/.f64 (.f64 (neg.f64 x) 1) (-.f64 -1 (.f64 x x)))
(/.f64 (neg.f64 x) (-.f64 -1 (*.f64 x x)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 2))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2))
(fabs.f64 (/.f64 x (fma.f64 x x 1)))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (*.f64 x x)))))
(/.f64 x (fma.f64 x x 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (*.f64 x x))))))
(/.f64 x (fma.f64 x x 1))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (*.f64 x x))) 3))
(/.f64 x (fma.f64 x x 1))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (*.f64 x x)) 3)))
(/.f64 x (fma.f64 x x 1))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (*.f64 x x)))))
(/.f64 x (fma.f64 x x 1))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (*.f64 x x))))
(.f64 x (exp.f64 (neg.f64 (log1p.f64 (.f64 x x)))))
(/.f64 x (exp.f64 (log1p.f64 (*.f64 x x))))
(exp.f64 (.f64 (-.f64 (log.f64 x) (log1p.f64 (.f64 x x))) 1))
(.f64 x (exp.f64 (neg.f64 (log1p.f64 (.f64 x x)))))
(/.f64 x (exp.f64 (log1p.f64 (*.f64 x x))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (*.f64 x x)))))
(/.f64 x (fma.f64 x x 1))
(+.f64 1 (neg.f64 (pow.f64 x 4)))
(-.f64 1 (pow.f64 x 4))
(+.f64 (neg.f64 (pow.f64 x 4)) 1)
(-.f64 1 (pow.f64 x 4))
(+.f64 (-.f64 1 (+.f64 1 (pow.f64 x 4))) 1)
(-.f64 1 (pow.f64 x 4))
(*.f64 1 (-.f64 1 (pow.f64 x 4)))
(-.f64 1 (pow.f64 x 4))
(*.f64 (-.f64 1 (pow.f64 x 4)) 1)
(-.f64 1 (pow.f64 x 4))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (-.f64 1 (pow.f64 x 4))))
(-.f64 1 (pow.f64 x 4))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))))))
(-.f64 1 (pow.f64 x 4))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 2)) (neg.f64 (neg.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 4))))
(*.f64 (-.f64 1 (pow.f64 x 8)) (/.f64 1 (+.f64 1 (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 8)) (+.f64 1 (pow.f64 x 4)))
(*.f64 (-.f64 1 (pow.f64 x 12)) (/.f64 1 (+.f64 (pow.f64 x 8) (+.f64 1 (pow.f64 x 4)))))
(*.f64 (-.f64 1 (pow.f64 x 12)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 x 4)) (pow.f64 x 8))))
(/.f64 (-.f64 1 (pow.f64 x 12)) (+.f64 1 (+.f64 (pow.f64 x 4) (pow.f64 x 8))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))))
(-.f64 1 (pow.f64 x 4))
(.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (neg.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1))))
(-.f64 1 (pow.f64 x 4))
(*.f64 -1 (+.f64 (pow.f64 x 4) -1))
(-.f64 1 (pow.f64 x 4))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4)))))
(-.f64 1 (pow.f64 x 4))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 2))) (neg.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 4))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (+.f64 (pow.f64 x 4) -1)))
(-.f64 1 (pow.f64 x 4))
(.f64 (neg.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1)))) (cbrt.f64 (+.f64 (pow.f64 x 4) -1)))
(-.f64 1 (pow.f64 x 4))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))))) (sqrt.f64 (-.f64 1 (pow.f64 x 4))))
(-.f64 1 (pow.f64 x 4))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 4))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 8))))
(*.f64 (-.f64 1 (pow.f64 x 8)) (/.f64 1 (+.f64 1 (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 8)) (+.f64 1 (pow.f64 x 4)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 8) (+.f64 1 (pow.f64 x 4))) (-.f64 1 (pow.f64 x 12))))
(*.f64 (-.f64 1 (pow.f64 x 12)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 x 4)) (pow.f64 x 8))))
(/.f64 (-.f64 1 (pow.f64 x 12)) (+.f64 1 (+.f64 (pow.f64 x 4) (pow.f64 x 8))))
(/.f64 1 (*.f64 1 (/.f64 (+.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 8)))))
(*.f64 (-.f64 1 (pow.f64 x 8)) (/.f64 1 (+.f64 1 (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 8)) (+.f64 1 (pow.f64 x 4)))
(/.f64 1 (*.f64 1 (/.f64 (+.f64 (pow.f64 x 8) (+.f64 1 (pow.f64 x 4))) (-.f64 1 (pow.f64 x 12)))))
(*.f64 (-.f64 1 (pow.f64 x 12)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 x 4)) (pow.f64 x 8))))
(/.f64 (-.f64 1 (pow.f64 x 12)) (+.f64 1 (+.f64 (pow.f64 x 4) (pow.f64 x 8))))
(/.f64 (-.f64 1 (pow.f64 x 4)) 1)
(-.f64 1 (pow.f64 x 4))
(/.f64 (-.f64 1 (pow.f64 x 8)) (+.f64 1 (pow.f64 x 4)))
(*.f64 (-.f64 1 (pow.f64 x 8)) (/.f64 1 (+.f64 1 (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 12)) (+.f64 (pow.f64 x 8) (+.f64 1 (pow.f64 x 4))))
(*.f64 (-.f64 1 (pow.f64 x 12)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 x 4)) (pow.f64 x 8))))
(/.f64 (-.f64 1 (pow.f64 x 12)) (+.f64 1 (+.f64 (pow.f64 x 4) (pow.f64 x 8))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 8))) (neg.f64 (+.f64 1 (pow.f64 x 4))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 8))) (+.f64 -1 (neg.f64 (pow.f64 x 4))))
(/.f64 (+.f64 -1 (pow.f64 x 8)) (-.f64 -1 (pow.f64 x 4)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 12))) (neg.f64 (+.f64 (pow.f64 x 8) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 12))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 x 4)) (pow.f64 x 8))))
(/.f64 (+.f64 -1 (pow.f64 x 12)) (-.f64 (-.f64 -1 (pow.f64 x 4)) (pow.f64 x 8)))
(/.f64 (+.f64 -1 (pow.f64 x 12)) (-.f64 -1 (+.f64 (pow.f64 x 4) (pow.f64 x 8))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 x 4)))) (+.f64 1 (pow.f64 x 4)))
(*.f64 (-.f64 1 (pow.f64 x 8)) (/.f64 1 (+.f64 1 (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 8)) (+.f64 1 (pow.f64 x 4)))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 12) (pow.f64 x 12))) (.f64 (+.f64 (pow.f64 x 8) (+.f64 1 (pow.f64 x 4))) (+.f64 1 (pow.f64 x 12))))
(/.f64 (-.f64 1 (pow.f64 x 24)) (*.f64 (+.f64 (+.f64 1 (pow.f64 x 4)) (pow.f64 x 8)) (+.f64 1 (pow.f64 x 12))))
(/.f64 (-.f64 1 (pow.f64 x 24)) (*.f64 (+.f64 1 (+.f64 (pow.f64 x 4) (pow.f64 x 8))) (+.f64 1 (pow.f64 x 12))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 24)) (+.f64 1 (pow.f64 x 12))) (+.f64 1 (+.f64 (pow.f64 x 4) (pow.f64 x 8))))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 8) (pow.f64 x 8))) (.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 8))))
(/.f64 (-.f64 1 (pow.f64 x 16)) (*.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 8))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x 4)) 3)) (+.f64 1 (*.f64 (neg.f64 (pow.f64 x 4)) (-.f64 (neg.f64 (pow.f64 x 4)) 1))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x 4)) 3)) (+.f64 1 (*.f64 (neg.f64 (pow.f64 x 4)) (+.f64 (neg.f64 (pow.f64 x 4)) -1))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x 4) 3)) (+.f64 1 (+.f64 (pow.f64 x 4) (pow.f64 x 8))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x 4)) 3)) (.f64 1 (+.f64 1 (.f64 (neg.f64 (pow.f64 x 4)) (-.f64 (neg.f64 (pow.f64 x 4)) 1)))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x 4)) 3)) (+.f64 1 (*.f64 (neg.f64 (pow.f64 x 4)) (+.f64 (neg.f64 (pow.f64 x 4)) -1))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x 4) 3)) (+.f64 1 (+.f64 (pow.f64 x 4) (pow.f64 x 8))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x 12) 3)) (.f64 (+.f64 (pow.f64 x 8) (+.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 (pow.f64 x 12) (+.f64 1 (pow.f64 x 12))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 x 12) 3)) (+.f64 (+.f64 1 (pow.f64 x 4)) (pow.f64 x 8))) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 12) 1) (pow.f64 x 24))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x 12) 3)) (*.f64 (+.f64 1 (+.f64 (pow.f64 x 4) (pow.f64 x 8))) (+.f64 1 (+.f64 (pow.f64 x 12) (pow.f64 x 24)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x 8) 3)) (.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (.f64 (pow.f64 x 8) (+.f64 1 (pow.f64 x 8))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x 8) 3)) (.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 (pow.f64 x 8) 1) (pow.f64 x 16)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x 8) 3)) (*.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 (pow.f64 x 8) (+.f64 (pow.f64 x 16) 1))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x 8) 3)) (*.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 (pow.f64 x 8) (+.f64 1 (pow.f64 x 16)))))
(pow.f64 (-.f64 1 (pow.f64 x 4)) 1)
(-.f64 1 (pow.f64 x 4))
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) 2)
(-.f64 1 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) 3)
(-.f64 1 (pow.f64 x 4))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 3) 1/3)
(-.f64 1 (pow.f64 x 4))
(neg.f64 (+.f64 (pow.f64 x 4) -1))
(-.f64 1 (pow.f64 x 4))
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 2))
(fabs.f64 (-.f64 1 (pow.f64 x 4)))
(log.f64 (exp.f64 (-.f64 1 (pow.f64 x 4))))
(-.f64 1 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 x 4)))))
(-.f64 1 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 4)) 3))
(-.f64 1 (pow.f64 x 4))
(expm1.f64 (log.f64 (-.f64 2 (pow.f64 x 4))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x 4))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x 4))) 1))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x 4))))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 x 4))))
(-.f64 1 (pow.f64 x 4))

eval216.0ms (6.6%)

Compiler: Compiled 6701 to 4524 computations (32.5% saved)

prune61.0ms (1.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	436	2	438
Fresh	0	1	1
Picked	0	1	1
Done	2	3	5
Total	438	7	445

Error

Counts

445 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.6b	(/.f64 x (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (*.f64 x x))))
✓	15.8b	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	45.5b	(/.f64 x (*.f64 x x))
✓	29.4b	(/.f64 1 x)
▶	33.8b	(.f64 (-.f64 1 (.f64 x x)) x)
▶	15.9b	(.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (.f64 x x))))
	32.9b	x

Compiler

Compiled 53 to 35 computations (34% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -1 (*.f64 x x))
✓	0.2b	(/.f64 1 (-.f64 -1 (*.f64 x x)))
✓	15.6b	(.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (.f64 x x))))

Compiler

Compiled 31 to 16 computations (48.4% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite69.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1928×	`add-sqr-sqrt`
1904×	`*-un-lft-identity`
1776×	`add-cube-cbrt`
1756×	`add-cbrt-cube`
220×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	233	51
2	3028	51

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (+.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 -1 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 -1 (*.f64 x x))) (/.f64 x (+.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (+.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -1 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (+.f64 -1 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (+.f64 -1 (*.f64 x x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 -1 (*.f64 x x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (+.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))) (sqrt.f64 (+.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) 2)) (cbrt.f64 (+.f64 -1 (*.f64 x x))))))) (#(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 neg.f64 (/.f64 x (+.f64 -1 (*.f64 x x))))))) (#(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 (exp.f64 (/.f64 x (+.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.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)))))))))

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

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

simplify92.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1394×	`associate-/l*`
1238×	`associate-*r/`
880×	`unswap-sqr`
858×	`associate-*l/`
806×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	2519
1	513	2385
2	2198	2367

Stop Event

1×	node limit

Counts

119 → 172

Calls

Call 1

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 1 (.f64 x 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	@	inf	(.f64 (-.f64 1 (.f64 x x)) x)
0.0ms	x	@	0	(.f64 (-.f64 1 (.f64 x x)) x)
0.0ms	x	@	-inf	(.f64 (-.f64 1 (.f64 x x)) x)

rewrite51.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify54.0ms (1.7%)

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))

eval76.0ms (2.3%)

Compiler: Compiled 2649 to 1663 computations (37.2% saved)

prune39.0ms (1.2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	203	0	203
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	203	7	210

Error

Counts

210 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.6b	(/.f64 x (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (*.f64 x x))))
✓	15.8b	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	45.5b	(/.f64 x (*.f64 x x))
✓	29.4b	(/.f64 1 x)
✓	33.8b	(.f64 (-.f64 1 (.f64 x x)) x)
✓	15.9b	(.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (.f64 x x))))
	32.9b	x

Compiler

Compiled 53 to 35 computations (34% saved)

eval0.0ms (0%)

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

prune44.0ms (1.4%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	6	6
Total	7	7

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.6b	(/.f64 x (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (*.f64 x x))))
✓	15.8b	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	45.5b	(/.f64 x (*.f64 x x))
✓	29.4b	(/.f64 1 x)
✓	33.8b	(.f64 (-.f64 1 (.f64 x x)) x)
✓	15.9b	(.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (.f64 x x))))
	32.9b	x

Compiler

Compiled 53 to 35 computations (34% saved)

regimes34.0ms (1%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	x
13.0ms	(/.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 70 to 39 computations (44.3% saved)

bsearch15.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	0.6045590042734178	262262746.77758074
6.0ms	-73459661768.89626	-5049369330.958311

Results

13.0ms

128×

body

256

valid

Compiler

Compiled 172 to 128 computations (25.6% saved)

regimes29.0ms (0.9%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	x
13.0ms	(/.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 57 to 31 computations (45.6% saved)

bsearch41.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.6045590042734178	262262746.77758074
2.0ms	-73459661768.89626	-5049369330.958311

Results

13.0ms

160×

body

256

valid

Compiler

Compiled 182 to 138 computations (24.2% saved)

regimes46.0ms (1.4%)

Counts

5 → 3

Calls

Call 1

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

33.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))
12.0ms	x

Results

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

Compiler

Compiled 34 to 17 computations (50% saved)

bsearch9.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
6.0ms	0.6045590042734178	262262746.77758074
3.0ms	-73459661768.89626	-5049369330.958311

Results

8.0ms

96×

body

256

valid

Compiler

Compiled 96 to 68 computations (29.2% saved)

regimes12.0ms (0.4%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 19 to 9 computations (52.6% saved)

bsearch61.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	0.6045590042734178	262262746.77758074
47.0ms	-15.458872368798984	-2.158282695176084e-13

Results

57.0ms

304×

body

256

valid

Compiler

Compiled 278 to 198 computations (28.8% saved)

regimes11.0ms (0.3%)

Accuracy

Total -60.8b remaining (-6658.1%)

Threshold costs -60.8b (-6658.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 12 to 6 computations (50% saved)

bsearch72.0ms (2.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.6045590042734178	262262746.77758074
58.0ms	-15.458872368798984	-2.158282695176084e-13

Results

68.0ms

304×

body

256

valid

Compiler

Compiled 164 to 122 computations (25.6% saved)

simplify18.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative`
20×	`*-commutative`
12×	`sub-neg`
10×	`neg-mul-1`
10×	`if-if-or-not`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	266
1	84	266
2	101	262
3	113	262
4	118	262
5	119	262

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -10000000000) (/.f64 1 x) (if (<=.f64 x 100000000) (/.f64 x (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (*.f64 x x)))) (/.f64 1 x)))
(if (<=.f64 x -50000000000) (/.f64 1 x) (if (<=.f64 x 75000000) (.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (.f64 x x)))) (/.f64 1 x)))
(if (<=.f64 x -10000000000) (/.f64 1 x) (if (<=.f64 x 40000000) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x)))
(if (<=.f64 x -7746191359077253/9007199254740992) (/.f64 1 x) (if (<=.f64 x 7746191359077253/9007199254740992) (.f64 (-.f64 1 (.f64 x x)) x) (/.f64 1 x)))
(if (<=.f64 x -1) (/.f64 1 x) (if (<=.f64 x 1) x (/.f64 1 x)))
x

Outputs
(if (<=.f64 x -10000000000) (/.f64 1 x) (if (<=.f64 x 100000000) (/.f64 x (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (*.f64 x x)))) (/.f64 1 x)))
(if (<=.f64 x -50000000000) (/.f64 1 x) (if (<=.f64 x 75000000) (.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (.f64 x x)))) (/.f64 1 x)))
(if (<=.f64 x -50000000000) (/.f64 1 x) (if (<=.f64 x 75000000) (.f64 x (/.f64 -1 (-.f64 -1 (.f64 x x)))) (/.f64 1 x)))
(if (<=.f64 x -10000000000) (/.f64 1 x) (if (<=.f64 x 40000000) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x)))
(if (<=.f64 x -10000000000) (/.f64 1 x) (if (<=.f64 x 40000000) (/.f64 x (+.f64 1 (*.f64 x x))) (/.f64 1 x)))
(if (<=.f64 x -7746191359077253/9007199254740992) (/.f64 1 x) (if (<=.f64 x 7746191359077253/9007199254740992) (.f64 (-.f64 1 (.f64 x x)) x) (/.f64 1 x)))
(if (<=.f64 x -7746191359077253/9007199254740992) (/.f64 1 x) (if (<=.f64 x 7746191359077253/9007199254740992) (.f64 x (-.f64 1 (.f64 x x))) (/.f64 1 x)))
(if (<=.f64 x -1) (/.f64 1 x) (if (<=.f64 x 1) x (/.f64 1 x)))
x

Compiler

Compiled 114 to 79 computations (30.7% saved)

soundness0.0ms (0%)

end58.0ms (1.8%)

Compiler: Compiled 109 to 71 computations (34.9% saved)

Details

analyze3.0ms (0.1%)

sample1.0s (31.9%)

preprocess4.0ms (0.1%)

simplify40.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite62.0ms (1.9%)

simplify61.0ms (1.9%)

eval26.0ms (0.8%)

prune15.0ms (0.5%)

localize9.0ms (0.3%)

series1.0ms (0%)

rewrite74.0ms (2.3%)

simplify99.0ms (3.1%)

localize2.0ms (0.1%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite79.0ms (2.4%)

simplify49.0ms (1.5%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite216.0ms (6.6%)

simplify60.0ms (1.9%)

localize15.0ms (0.5%)

series2.0ms (0.1%)

rewrite97.0ms (3%)

simplify157.0ms (4.8%)

eval216.0ms (6.6%)

prune61.0ms (1.9%)

localize11.0ms (0.3%)

series1.0ms (0%)

rewrite69.0ms (2.1%)

simplify92.0ms (2.8%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite51.0ms (1.6%)

simplify54.0ms (1.7%)

eval76.0ms (2.3%)

prune39.0ms (1.2%)

eval0.0ms (0%)

prune44.0ms (1.4%)

regimes34.0ms (1%)

bsearch15.0ms (0.5%)

regimes29.0ms (0.9%)

bsearch41.0ms (1.3%)

regimes46.0ms (1.4%)

bsearch9.0ms (0.3%)

regimes12.0ms (0.4%)

bsearch61.0ms (1.9%)

regimes11.0ms (0.3%)

bsearch72.0ms (2.2%)

simplify18.0ms (0.6%)

soundness0.0ms (0%)

end58.0ms (1.8%)

Profiling