Details

analyze4.0ms (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
62.5%	62.5%	37.5%	0%	0%	0%	0%	4
81.3%	81.2%	18.7%	0%	0%	0%	0%	5
90.6%	90.6%	9.4%	0%	0%	0%	0%	6
95.3%	95.3%	4.7%	0%	0%	0%	0%	7
97.7%	97.6%	2.3%	0%	0%	0%	0%	8
98.8%	98.8%	1.2%	0%	0%	0%	0%	9
99.4%	99.4%	0.6%	0%	0%	0%	0%	10
99.7%	99.7%	0.3%	0%	0%	0%	0%	11
99.9%	99.8%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.5s (48.1%)

Results

701.0ms	2092×	body	512	valid
665.0ms	5708×	body	256	valid
107.0ms	456×	body	1024	valid

Bogosity

preprocess20.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

80×	`fma-def`
44×	`associate--r+`
38×	`associate-+l-`
30×	`+-commutative`
24×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	14	25
2	20	25
3	29	25
4	39	25
5	57	25
6	108	25
7	144	25
8	190	25
9	229	25
10	253	25
11	255	25
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify40.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

80×	`fma-def`
44×	`associate--r+`
38×	`associate-+l-`
30×	`+-commutative`
24×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	14	25
2	20	25
3	29	25
4	39	25
5	57	25
6	108	25
7	144	25
8	190	25
9	229	25
10	253	25
11	255	25

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 28 to 22 computations (21.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	2	4

Error

14.0b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.0b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

Compiler

Compiled 10 to 8 computations (20% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 x 1))
✓	2.3b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

Compiler

Compiled 23 to 17 computations (26.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite82.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

894×	`associate-/r*`
850×	`*-commutative`
794×	`unswap-sqr`
522×	`distribute-lft-in`
490×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	38
1	188	38
2	2704	38

Stop Event

1×	node limit

Counts

2 → 179

Calls

Call 1

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

Outputs
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Outputs

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

simplify133.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1276×	`associate-+r+`
1248×	`associate-+l+`
1050×	`+-commutative`
630×	`fma-def`
488×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	507	9657
1	1468	8803
2	5748	8743

Stop Event

1×	node limit

Counts

203 → 339

Calls

Call 1

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

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

eval143.0ms (4.6%)

Compiler: Compiled 7478 to 5442 computations (27.2% saved)

prune49.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	333	6	339
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	333	7	340

Error

0.2b

Counts

340 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	13.1b	(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 1 x)) x)
▶	13.1b	(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 1 x))
▶	33.6b	(/.f64 -1 (*.f64 x x))
▶	29.1b	(/.f64 -1 x)
✓	14.0b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
▶	29.7b	(-.f64 (-.f64 1 x) (/.f64 1 x))
▶	29.7b	(-.f64 1 (/.f64 1 x))

Compiler

Compiled 106 to 76 computations (28.3% saved)

localize13.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 1 x))
✓	1.5b	(+.f64 x (-.f64 -1 x))

Compiler

Compiled 33 to 21 computations (36.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite94.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1482×	`associate-/r/`
1270×	`associate-/l/`
1056×	`distribute-rgt-in`
1038×	`distribute-lft-in`
240×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	233	44
2	3503	44

Stop Event

1×	node limit

Counts

2 → 153

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 1) (-.f64 1 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 x 1)) (-.f64 (/.f64 (.f64 x x) (-.f64 x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (+.f64 1 (-.f64 (.f64 x x) x))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (-.f64 (.f64 x x) x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 x x) (-.f64 x (-.f64 -1 x))) (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (/.f64 1 (-.f64 x 1))) (/.f64 (.f64 x x) (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (/.f64 -1 (+.f64 1 (-.f64 (.f64 x x) x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (-.f64 (.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 -1 x) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 x 1) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x (-.f64 -1 x))) (sqrt.f64 (+.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) 2) (cbrt.f64 (+.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (/.f64 1 (-.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 x (-.f64 -1 x))) (-.f64 (.f64 x x) (pow.f64 (-.f64 -1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x x (.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x))))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (.f64 x x) (pow.f64 (-.f64 -1 x) 2))) (+.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3))) (+.f64 (.f64 x x) (.f64 (-.f64 -1 x) (+.f64 x (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x))) (.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))))) (-.f64 (.f64 x x) (.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3)) (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x))) 3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x))) (.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))) (.f64 (.f64 x x) (.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (-.f64 -1 x)) (-.f64 (.f64 x x) (pow.f64 (-.f64 -1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 -1 x) 2)) (-.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 x x (.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 -1 x) 2))) (neg.f64 (-.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 -1 x) 2))) (.f64 1 (neg.f64 (-.f64 x (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3))) (neg.f64 (fma.f64 x x (.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3))) (.f64 1 (neg.f64 (fma.f64 x x (.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (-.f64 -1 x) 3))) (.f64 (fma.f64 x x (.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 x x)) (-.f64 -1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 x x)) (.f64 1 (-.f64 -1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (-.f64 -1 x) 2))) (.f64 (-.f64 x (-.f64 -1 x)) (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (-.f64 x 1) (-.f64 x 1)) (.f64 x x)) (+.f64 x (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (-.f64 x 1) (-.f64 x 1)) (.f64 x x)) (.f64 1 (+.f64 x (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (-.f64 -1 x) 3) 3)) (.f64 (fma.f64 x x (.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x x)))) (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 (.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (-.f64 -1 x) 3)) (.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1 x) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (pow.f64 (-.f64 -1 x) 2) 3)) (.f64 (-.f64 x (-.f64 -1 x)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (-.f64 -1 x) 2)) (.f64 (.f64 x x) (pow.f64 (-.f64 -1 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 x 1) 3) (pow.f64 x 3)) (+.f64 (.f64 (-.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 x x) (.f64 (-.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 x 1) 3) (pow.f64 x 3)) (.f64 1 (+.f64 (.f64 (-.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 x x) (.f64 (-.f64 x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (-.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (-.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (-.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (-.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 -1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 -1 x))))))
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Outputs

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

simplify93.0ms (3%)

Algorithm

1×	egg-herbie

Rules

894×	`associate-+l+`
720×	`+-commutative`
700×	`associate-+r+`
522×	`*-commutative`
522×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	449	4937
1	1541	4285
2	5620	4177

Stop Event

1×	node limit

Counts

177 → 242

Calls

Call 1

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

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

localize2.0ms (0.1%)

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

localize4.0ms (0.1%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 -1 (*.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1124×	`add-sqr-sqrt`
1110×	`*-un-lft-identity`
1052×	`pow1`
1030×	`add-cube-cbrt`
1020×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	125	11
2	1484	11

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify47.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1496×	`associate-/l*`
1236×	`distribute-rgt-in`
1228×	`distribute-lft-in`
1058×	`associate-+r+`
926×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	494
1	125	432
2	468	414
3	2696	414

Stop Event

1×	node limit

Counts

34 → 26

Calls

Call 1

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

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite59.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1894×	`add-sqr-sqrt`
1872×	`*-un-lft-identity`
1762×	`add-cube-cbrt`
1748×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	161	19
2	2274	19

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify51.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1116×	`times-frac`
1044×	`fma-def`
946×	`distribute-lft-in`
840×	`distribute-rgt-in`
738×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	1798
1	451	1736
2	1866	1646

Stop Event

1×	node limit

Counts

58 → 76

Calls

Call 1

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

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

eval119.0ms (3.8%)

Compiler: Compiled 6565 to 4374 computations (33.4% saved)

prune49.0ms (1.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	340	4	344
Fresh	1	0	1
Picked	1	0	1
Done	2	3	5
Total	344	7	351

Error

Counts

351 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.f64 (/.f64 -1 x) (+.f64 1 x))
▶	0.2b	(/.f64 -1 (+.f64 x (*.f64 x x)))
✓	33.6b	(/.f64 -1 (*.f64 x x))
✓	29.1b	(/.f64 -1 x)
✓	29.7b	(-.f64 1 (/.f64 1 x))
▶	33.4b	(neg.f64 (pow.f64 x -2))
▶	62.1b	(neg.f64 x)

Compiler

Compiled 40 to 29 computations (27.5% saved)

localize3.0ms (0.1%)

Compiler: Compiled 4 to 2 computations (50% saved)

localize4.0ms (0.1%)

Compiler: Compiled 10 to 7 computations (30% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite58.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1608×	`add-sqr-sqrt`
1590×	`*-un-lft-identity`
1488×	`add-cube-cbrt`
1474×	`add-cbrt-cube`
154×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	156	24
2	2110	24

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

Outputs

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

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

simplify71.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1192×	`associate-+r-`
886×	`times-frac`
860×	`associate-/r*`
720×	`unswap-sqr`
658×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	1729
1	369	1691
2	1424	1685
3	7458	1685

Stop Event

1×	node limit

Counts

89 → 105

Calls

Call 1

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

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 -1 x) (+.f64 1 x))

Compiler

Compiled 17 to 12 computations (29.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite57.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1848×	`add-sqr-sqrt`
1834×	`*-un-lft-identity`
1714×	`add-cube-cbrt`
1694×	`add-cbrt-cube`
166×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	174	19
2	2297	19

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify60.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1630×	`distribute-lft-in`
1572×	`distribute-rgt-in`
924×	`associate-*r/`
608×	`associate-/l*`
582×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	135	1497
1	383	1291
2	1331	1273
3	5253	1273

Stop Event

1×	node limit

Counts

51 → 86

Calls

Call 1

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

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

eval42.0ms (1.4%)

Compiler: Compiled 2342 to 1519 computations (35.1% saved)

prune46.0ms (1.5%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	191	7	198

Error

Counts

198 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 (/.f64 -1 x) (+.f64 1 x))
✓	0.2b	(/.f64 -1 (+.f64 x (*.f64 x x)))
✓	33.6b	(/.f64 -1 (*.f64 x x))
✓	29.1b	(/.f64 -1 x)
✓	29.7b	(-.f64 1 (/.f64 1 x))
✓	33.4b	(neg.f64 (pow.f64 x -2))
✓	62.1b	(neg.f64 x)

Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes13.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(/.f64 -1 x)
(-.f64 1 (/.f64 1 x))
(/.f64 -1 (*.f64 x x))
(-.f64 (-.f64 1 x) (/.f64 1 x))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 (/.f64 -1 x) (+.f64 1 x))
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) x) (+.f64 1 x))
(/.f64 (/.f64 (+.f64 x (-.f64 -1 x)) (+.f64 1 x)) x)
(neg.f64 (pow.f64 x -2))

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

Calls

2 calls:

6.0ms	x
5.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))`

Compiler

Compiled 84 to 57 computations (32.1% saved)

regimes7.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.2b	1	`x`

Compiler

Compiled 32 to 20 computations (37.5% saved)

regimes13.0ms (0.4%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 25 to 17 computations (32% saved)

bsearch34.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	8.895087233706302e-7	921425666772186.9
16.0ms	-3114658.8850348545	-0.00672014706226785

Results

30.0ms

320×

body

256

valid

Compiler

Compiled 334 to 251 computations (24.9% saved)

regimes20.0ms (0.6%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch33.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	8.895087233706302e-7	921425666772186.9
14.0ms	-3114658.8850348545	-0.00672014706226785

Results

29.0ms

320×

body

256

valid

Compiler

Compiled 294 to 231 computations (21.4% saved)

regimes4.0ms (0.1%)

Accuracy

Total -33.1b remaining (-114%)

Threshold costs -33.1b (-114%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 -1 x)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
29.1b	1	`x`

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative`
12×	`sub-neg`
6×	`neg-mul-1`
6×	`*-commutative`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	158
1	47	158
2	56	158
3	61	158
4	64	158
5	66	158
6	67	158

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 -1 x) (+.f64 1 x))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(if (<=.f64 x -1) (/.f64 -1 (.f64 x x)) (if (<=.f64 x 1) (-.f64 (-.f64 1 x) (/.f64 1 x)) (/.f64 -1 (.f64 x x))))
(if (<=.f64 x -1) (/.f64 -1 (.f64 x x)) (if (<=.f64 x 3/4) (-.f64 1 (/.f64 1 x)) (/.f64 -1 (.f64 x x))))
(/.f64 -1 x)
(neg.f64 x)

Outputs
(/.f64 (/.f64 -1 x) (+.f64 1 x))
(/.f64 (/.f64 -1 x) (+.f64 x 1))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(if (<=.f64 x -1) (/.f64 -1 (.f64 x x)) (if (<=.f64 x 1) (-.f64 (-.f64 1 x) (/.f64 1 x)) (/.f64 -1 (.f64 x x))))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (/.f64 -1 (*.f64 x x)) (-.f64 (-.f64 1 x) (/.f64 1 x)))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (/.f64 -1 (*.f64 x x)) (+.f64 (-.f64 1 x) (/.f64 -1 x)))
(if (<=.f64 x -1) (/.f64 -1 (.f64 x x)) (if (<=.f64 x 3/4) (-.f64 1 (/.f64 1 x)) (/.f64 -1 (.f64 x x))))
(if (or (<=.f64 x -1) (not (<=.f64 x 3/4))) (/.f64 -1 (*.f64 x x)) (-.f64 1 (/.f64 1 x)))
(if (or (<=.f64 x -1) (not (<=.f64 x 3/4))) (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x)))
(/.f64 -1 x)
(neg.f64 x)

Compiler

Compiled 65 to 47 computations (27.7% saved)

soundness0.0ms (0%)

end39.0ms (1.3%)

Compiler: Compiled 60 to 40 computations (33.3% saved)

Iter	Nodes	Cost
0	8	25
1	14	25
2	20	25
3	29	25
4	39	25
5	57	25
6	108	25
7	144	25
8	190	25
9	229	25
10	253	25
11	255	25
0	1	1

Iter	Nodes	Cost
0	8	25
1	14	25
2	20	25
3	29	25
4	39	25
5	57	25
6	108	25
7	144	25
8	190	25
9	229	25
10	253	25
11	255	25

Iter	Nodes	Cost
0	8	25
1	14	25
2	20	25
3	29	25
4	39	25
5	57	25
6	108	25
7	144	25
8	190	25
9	229	25
10	253	25
11	255	25
0	1	1

Iter	Nodes	Cost
0	8	25
1	14	25
2	20	25
3	29	25
4	39	25
5	57	25
6	108	25
7	144	25
8	190	25
9	229	25
10	253	25
11	255	25

Details

analyze4.0ms (0.1%)

sample1.5s (48.1%)

preprocess20.0ms (0.7%)

simplify40.0ms (1.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.3%)

series1.0ms (0%)

rewrite82.0ms (2.6%)

simplify133.0ms (4.3%)

eval143.0ms (4.6%)

prune49.0ms (1.6%)

localize13.0ms (0.4%)

series1.0ms (0%)

rewrite94.0ms (3.1%)

simplify93.0ms (3%)

localize2.0ms (0.1%)

localize4.0ms (0.1%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite51.0ms (1.6%)

simplify47.0ms (1.5%)

localize6.0ms (0.2%)

series0.0ms (0%)

rewrite59.0ms (1.9%)

simplify51.0ms (1.7%)

eval119.0ms (3.8%)

prune49.0ms (1.6%)

localize3.0ms (0.1%)

localize4.0ms (0.1%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite58.0ms (1.9%)

simplify71.0ms (2.3%)

localize6.0ms (0.2%)

series0.0ms (0%)

rewrite57.0ms (1.8%)

simplify60.0ms (2%)

eval42.0ms (1.4%)

prune46.0ms (1.5%)

regimes13.0ms (0.4%)

regimes7.0ms (0.2%)

regimes13.0ms (0.4%)

bsearch34.0ms (1.1%)

regimes20.0ms (0.6%)

bsearch33.0ms (1.1%)

regimes4.0ms (0.1%)

simplify8.0ms (0.3%)

soundness0.0ms (0%)

end39.0ms (1.3%)

Profiling

Iter	Nodes	Cost
0	8	25
1	14	25
2	20	25
3	29	25
4	39	25
5	57	25
6	108	25
7	144	25
8	190	25
9	229	25
10	253	25
11	255	25
0	1	1

Iter	Nodes	Cost
0	8	25
1	14	25
2	20	25
3	29	25
4	39	25
5	57	25
6	108	25
7	144	25
8	190	25
9	229	25
10	253	25
11	255	25