Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
50%	50%	0%	4
75%	25%	0%	5
87.5%	12.5%	0%	6
93.7%	6.2%	0%	7
96.8%	3.1%	0%	8
98.4%	1.6%	0%	9
99.2%	0.8%	0%	10
99.6%	0.4%	0%	11
99.8%	0.2%	0%	12

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample809.0ms (16.5%)

Results

794.0ms

8256×

body

256

valid

preprocess90.0ms (1.8%)

Algorithm

2×	egg-herbie

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify33.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 23 to 17 computations (26.1% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Compiler

Compiled 12 to 9 computations (25% saved)

localize12.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 30 to 21 computations (30% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 1 (-.f64 x 1))
1.0ms	x	@	inf	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
1.0ms	x	@	0	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
1.0ms	x	@	-inf	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
0.0ms	x	@	inf	(/.f64 1 (-.f64 x 1))

rewrite63.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

78×	`egg-rr`
46×	`egg-rr`
38×	`egg-rr`

Counts

3 → 162

Calls

Call 1

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

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

Outputs

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

simplify202.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

198 → 202

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))

Outputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) -1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 4))) 1)
(fma.f64 -2 (fma.f64 x x (pow.f64 x 4)) -1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
(+.f64 (*.f64 -2 (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 6))) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(fma.f64 2 (pow.f64 x -2) 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 2 (+.f64 (pow.f64 x -4) (pow.f64 x -2)) 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (*.f64 2 (+.f64 (pow.f64 x -4) (+.f64 (pow.f64 x -6) (pow.f64 x -2)))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(fma.f64 2 (pow.f64 x -2) 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 2 (+.f64 (pow.f64 x -4) (pow.f64 x -2)) 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (*.f64 2 (+.f64 (pow.f64 x -4) (+.f64 (pow.f64 x -6) (pow.f64 x -2)))))
-1
(-.f64 (*.f64 -1 x) 1)
(neg.f64 (+.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) 1)
(neg.f64 (+.f64 1 (fma.f64 x x x)))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(-.f64 (neg.f64 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x)))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (pow.f64 x -2) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -3) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (pow.f64 x -4) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -3) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (pow.f64 x -2) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -3) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (pow.f64 x -4) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -3) (/.f64 1 x))))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(-.f64 x (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(+.f64 (.f64 (.f64 x x) (+.f64 -1 x)) x)
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
(-.f64 (-.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)) (*.f64 x x))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (+.f64 1 (pow.f64 x -2)) (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (pow.f64 x -2)) (+.f64 (pow.f64 x -3) (/.f64 1 x)))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (+.f64 1 (pow.f64 x -2)) (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (pow.f64 x -2)) (+.f64 (pow.f64 x -3) (/.f64 1 x)))

eval83.0ms (1.7%)

Compiler: Compiled 3544 to 2697 computations (23.9% saved)

prune33.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	195	7	202
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	195	8	203

Error

Counts

203 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 x 1)))
▶	26.3b	(+.f64 (/.f64 1 (-.f64 x 1)) x)
	26.7b	-1
▶	26.2b	(+.f64 (neg.f64 (+.f64 1 x)) (/.f64 x (+.f64 x 1)))
▶	14.0b	(/.f64 (fma.f64 x (-.f64 1 x) (-.f64 -1 x)) (*.f64 (-.f64 1 x) (+.f64 1 x)))
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
	37.2b	1
▶	36.5b	(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))

Compiler

Compiled 134 to 99 computations (26.1% saved)

localize20.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	16.7b	(cbrt.f64 (pow.f64 (+.f64 x -1) -3))
	0.0b	(pow.f64 (+.f64 x -1) -3)
	0.0b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 x 1)))
	0.0b	(/.f64 x (+.f64 x 1))
	0.0b	(/.f64 x (+.f64 x 1))
✓	0.0b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 x 1)))
✓	0.0b	(pow.f64 (+.f64 x -1) -3)
✓	16.7b	(cbrt.f64 (pow.f64 (+.f64 x -1) -3))

Compiler

Compiled 39 to 29 computations (25.6% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (+.f64 x -1) -3))
1.0ms	x	@	inf	(pow.f64 (+.f64 x -1) -3)
0.0ms	x	@	-inf	(+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 x 1)))
0.0ms	x	@	-inf	(pow.f64 (+.f64 x -1) -3)
0.0ms	x	@	0	(cbrt.f64 (pow.f64 (+.f64 x -1) -3))

rewrite51.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

38×	`egg-rr`
23×	`egg-rr`
19×	`egg-rr`

Counts

3 → 80

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) 0) (cbrt.f64 (pow.f64 (+.f64 x -1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (cbrt.f64 (pow.f64 (+.f64 x -1) -3))) (cbrt.f64 (pow.f64 (+.f64 x -1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (.f64 0 (cbrt.f64 (pow.f64 (+.f64 x -1) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3))) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) 2/3) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 x -1) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 x -1) -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3))) 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 x -1) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -1) -3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (+.f64 x -1) -3) 0) (pow.f64 (+.f64 x -1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x -1) -3) (.f64 (pow.f64 (+.f64 x -1) -3) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (pow.f64 (+.f64 x -1) -3)) (pow.f64 (+.f64 x -1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x -1) -3) (.f64 0 (pow.f64 (+.f64 x -1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (pow.f64 (pow.f64 (+.f64 x -1) -3) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (+.f64 x -1) -3) 2/3) (cbrt.f64 (pow.f64 (+.f64 x -1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3))) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (+.f64 x -1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 x -1) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (pow.f64 (+.f64 x -1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3))) 4) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (+.f64 x -1) -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x -1) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (+.f64 x -1) -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -3) (+.f64 1/3 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -3) (+.f64 2/3 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (+.f64 x -1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 x -1) -3) 3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 1 x)) (cbrt.f64 (pow.f64 (+.f64 x -1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 1 x))) 0) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 1 x))) (.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 1 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 1 x)))) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 1 x))) (.f64 0 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 x -1) -3))) (/.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 x -1) -3))) (/.f64 x (-.f64 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 1 x)))) (pow.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 1 x))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2/3) (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) 2/3) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 1 x)))))) (+.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) 2/3) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2/3) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 1 x)))))) (+.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3))) (cbrt.f64 (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 1 x))) 2/3) (cbrt.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 1 x)))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 1 x)))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 x -1) -3))) (/.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3))) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) 2/3) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (+.f64 1 x)) (cbrt.f64 (pow.f64 (+.f64 x -1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) -1/3) (/.f64 x (pow.f64 (+.f64 1 x) 2/3)) (cbrt.f64 (pow.f64 (+.f64 x -1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (/.f64 (pow.f64 x 2/3) (+.f64 1 x)) (cbrt.f64 (pow.f64 (+.f64 x -1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 x)) x (cbrt.f64 (pow.f64 (+.f64 x -1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 x (-.f64 -1 x)) (cbrt.f64 (pow.f64 (+.f64 x -1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 x)) (cbrt.f64 (pow.f64 (+.f64 x -1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 x -1) -3))) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) 2/3) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3))) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (pow.f64 (/.f64 x (+.f64 1 x)) 2/3) (cbrt.f64 (pow.f64 (+.f64 x -1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (+.f64 1 x)) (cbrt.f64 (pow.f64 (+.f64 x -1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 1 x)) 1 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2/3) (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 x -1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) 1 (/.f64 x (+.f64 1 x)))))))

Outputs

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

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

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

simplify217.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

116 → 128

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(*.f64 -1 (/.f64 (cbrt.f64 -1) x))
(+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) x)) (.f64 -1 (/.f64 (cbrt.f64 -1) (pow.f64 x 2))))
(+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) x)) (*.f64 -1 (/.f64 (cbrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) x)) (.f64 -1 (/.f64 (cbrt.f64 -1) (pow.f64 x 2))))))
-1
(-.f64 (*.f64 -3 x) 1)
(-.f64 (+.f64 (.f64 -3 x) (.f64 -6 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (.f64 -3 x) (+.f64 (.f64 -10 (pow.f64 x 3)) (*.f64 -6 (pow.f64 x 2)))) 1)
(/.f64 1 (pow.f64 x 3))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (.f64 6 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 6 (/.f64 1 (pow.f64 x 5))))))
(/.f64 1 (pow.f64 x 3))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (.f64 6 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 6 (/.f64 1 (pow.f64 x 5))))))
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (cbrt.f64 -1)) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (cbrt.f64 -1)) x)) (/.f64 1 (pow.f64 x 2)))) (/.f64 (cbrt.f64 -1) (pow.f64 x 2)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 1 (cbrt.f64 -1)) x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 -1 (/.f64 (-.f64 1 (*.f64 -1 (cbrt.f64 -1))) (pow.f64 x 3)))))) (/.f64 (cbrt.f64 -1) (pow.f64 x 2)))

Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(neg.f64 (+.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) 1)
(neg.f64 (+.f64 1 (fma.f64 x x x)))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(-.f64 (neg.f64 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x)))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (pow.f64 x -2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(/.f64 (+.f64 (fma.f64 x x x) 1) (pow.f64 x 3))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (pow.f64 x -4) (/.f64 (+.f64 (fma.f64 x x x) 1) (pow.f64 x 3)))
(*.f64 -1 (/.f64 (cbrt.f64 -1) x))
(/.f64 1 x)
(+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) x)) (.f64 -1 (/.f64 (cbrt.f64 -1) (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (pow.f64 x -2))
(+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) x)) (*.f64 -1 (/.f64 (cbrt.f64 -1) (pow.f64 x 2)))))
(/.f64 (+.f64 (fma.f64 x x x) 1) (pow.f64 x 3))
(+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) x)) (.f64 -1 (/.f64 (cbrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (pow.f64 x -4) (/.f64 (+.f64 (fma.f64 x x x) 1) (pow.f64 x 3)))
-1
(-.f64 (*.f64 -3 x) 1)
(fma.f64 -3 x -1)
(-.f64 (+.f64 (.f64 -3 x) (.f64 -6 (pow.f64 x 2))) 1)
(fma.f64 x -3 (fma.f64 -6 (*.f64 x x) -1))
(-.f64 (+.f64 (.f64 -3 x) (+.f64 (.f64 -10 (pow.f64 x 3)) (*.f64 -6 (pow.f64 x 2)))) 1)
(+.f64 (fma.f64 -10 (pow.f64 x 3) (.f64 -6 (.f64 x x))) (fma.f64 -3 x -1))
(/.f64 1 (pow.f64 x 3))
(pow.f64 x -3)
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 3)))
(fma.f64 3 (pow.f64 x -4) (pow.f64 x -3))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (.f64 6 (/.f64 1 (pow.f64 x 5)))))
(fma.f64 3 (pow.f64 x -4) (fma.f64 (pow.f64 x -5) 6 (pow.f64 x -3)))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 6 (/.f64 1 (pow.f64 x 5))))))
(fma.f64 10 (pow.f64 x -6) (fma.f64 3 (pow.f64 x -4) (fma.f64 (pow.f64 x -5) 6 (pow.f64 x -3))))
(/.f64 1 (pow.f64 x 3))
(pow.f64 x -3)
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 3)))
(fma.f64 3 (pow.f64 x -4) (pow.f64 x -3))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (.f64 6 (/.f64 1 (pow.f64 x 5)))))
(fma.f64 3 (pow.f64 x -4) (fma.f64 (pow.f64 x -5) 6 (pow.f64 x -3)))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 6 (/.f64 1 (pow.f64 x 5))))))
(fma.f64 10 (pow.f64 x -6) (fma.f64 3 (pow.f64 x -4) (fma.f64 (pow.f64 x -5) 6 (pow.f64 x -3))))
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) -1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 4))) 1)
(fma.f64 -2 (fma.f64 x x (pow.f64 x 4)) -1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
(+.f64 (*.f64 -2 (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 6))) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(fma.f64 (pow.f64 x -2) 2 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 2 (+.f64 (pow.f64 x -4) (pow.f64 x -2)) 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (*.f64 2 (+.f64 (pow.f64 x -4) (+.f64 (pow.f64 x -6) (pow.f64 x -2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (cbrt.f64 -1)) x)))
1
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (cbrt.f64 -1)) x)) (/.f64 1 (pow.f64 x 2)))) (/.f64 (cbrt.f64 -1) (pow.f64 x 2)))
(fma.f64 (pow.f64 x -2) 2 1)
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 1 (cbrt.f64 -1)) x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 -1 (/.f64 (-.f64 1 (*.f64 -1 (cbrt.f64 -1))) (pow.f64 x 3)))))) (/.f64 (cbrt.f64 -1) (pow.f64 x 2)))
(fma.f64 (pow.f64 x -2) 2 1)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify42.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite39.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

78× egg-rr

Counts

1 → 78

Calls

Call 1

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

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

Outputs

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

simplify99.0ms (2%)

Algorithm

1×	egg-herbie

Counts

90 → 91

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (+.f64 (pow.f64 x 3) x)))
1
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 (pow.f64 x 3)))
1
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 (pow.f64 x 3)))

Outputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x))
(-.f64 (+.f64 (/.f64 1 x) x) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (+.f64 (pow.f64 x 3) x)))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (pow.f64 x 3)) x) (*.f64 x x))
1
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (pow.f64 x -2))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 1 (pow.f64 x -2)) (pow.f64 x -3))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (pow.f64 x -4) (-.f64 (+.f64 (pow.f64 x -3) -1) (pow.f64 x -2)))
1
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (pow.f64 x -2))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 1 (pow.f64 x -2)) (pow.f64 x -3))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (pow.f64 x -4) (-.f64 (+.f64 (pow.f64 x -3) -1) (pow.f64 x -2)))

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 19 computations (32.1% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify42.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize17.0ms (0.4%)

Local error

Found 6 expressions with local error:

New	Error	Program
	13.6b	(/.f64 (fma.f64 x (-.f64 1 x) (-.f64 -1 x)) (*.f64 (-.f64 1 x) (+.f64 1 x)))
	0.0b	(*.f64 (-.f64 1 x) (+.f64 1 x))
	0.0b	(fma.f64 x (-.f64 1 x) (-.f64 -1 x))
✓	0.0b	(fma.f64 x (-.f64 1 x) (-.f64 -1 x))
✓	0.0b	(*.f64 (-.f64 1 x) (+.f64 1 x))
✓	13.6b	(/.f64 (fma.f64 x (-.f64 1 x) (-.f64 -1 x)) (*.f64 (-.f64 1 x) (+.f64 1 x)))

Compiler

Compiled 44 to 30 computations (31.8% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite80.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

122×	`egg-rr`
104×	`egg-rr`
66×	`egg-rr`

Counts

3 → 292

Calls

Call 1

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

Outputs

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simplify282.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

328 → 312

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
-1
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(*.f64 -1 (pow.f64 x 2))
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(*.f64 -1 (pow.f64 x 2))
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)

Outputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) -1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 4))) 1)
(fma.f64 -2 (fma.f64 x x (pow.f64 x 4)) -1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
(+.f64 (*.f64 -2 (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 6))) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(fma.f64 2 (pow.f64 x -2) 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 2 (+.f64 (pow.f64 x -4) (pow.f64 x -2)) 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (*.f64 2 (+.f64 (+.f64 (pow.f64 x -6) (pow.f64 x -2)) (pow.f64 x -4))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(fma.f64 2 (pow.f64 x -2) 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 2 (+.f64 (pow.f64 x -4) (pow.f64 x -2)) 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (*.f64 2 (+.f64 (+.f64 (pow.f64 x -6) (pow.f64 x -2)) (pow.f64 x -4))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
-1
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 -1 (*.f64 x x))
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 -1 (*.f64 x x))
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 -1 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 -1 (*.f64 x x))
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 -1 (*.f64 x x))
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 -1 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 -1 (*.f64 x x))
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 -1 (*.f64 x x))
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 -1 (*.f64 x x))

eval374.0ms (7.6%)

Compiler: Compiled 14591 to 10629 computations (27.2% saved)

prune120.0ms (2.4%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	754	5	759
Fresh	1	1	2
Picked	1	0	1
Done	1	4	5
Total	757	10	767

Error

Counts

767 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
▶	14.0b	(/.f64 (-.f64 -1 (.f64 x x)) (.f64 (-.f64 1 x) (+.f64 1 x)))
▶	61.7b	(/.f64 1 x)
✓	36.5b	(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
	26.7b	-1
✓	26.2b	(+.f64 (neg.f64 (+.f64 1 x)) (/.f64 x (+.f64 x 1)))
	37.2b	1
▶	61.9b	(+.f64 (/.f64 1 x) x)
✓	26.3b	(+.f64 (/.f64 1 (-.f64 x 1)) x)
▶	14.0b	(/.f64 (fma.f64 x (-.f64 1 x) (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))

Compiler

Compiled 84 to 61 computations (27.4% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	13.6b	(/.f64 (fma.f64 x (-.f64 1 x) (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))
	0.0b	(fma.f64 x (-.f64 1 x) (-.f64 -1 x))
	0.0b	(fma.f64 x (-.f64 1 x) (-.f64 -1 x))
✓	13.6b	(/.f64 (fma.f64 x (-.f64 1 x) (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))

Compiler

Compiled 40 to 23 computations (42.5% saved)

series6.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite46.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

96× egg-rr

Counts

1 → 96

Calls

Call 1

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

Outputs

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

simplify131.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

108 → 110

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))

Outputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) -1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 4))) 1)
(fma.f64 -2 (fma.f64 x x (pow.f64 x 4)) -1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
(+.f64 (*.f64 -2 (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 6))) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(fma.f64 (pow.f64 x -2) 2 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 2 (+.f64 (pow.f64 x -4) (pow.f64 x -2)) 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (*.f64 2 (+.f64 (+.f64 (pow.f64 x -4) (pow.f64 x -2)) (pow.f64 x -6))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(fma.f64 (pow.f64 x -2) 2 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 2 (+.f64 (pow.f64 x -4) (pow.f64 x -2)) 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (*.f64 2 (+.f64 (+.f64 (pow.f64 x -4) (pow.f64 x -2)) (pow.f64 x -6))))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite74.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

51× egg-rr

Counts

1 → 51

Calls

Call 1

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

Outputs

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

simplify74.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

54 → 53

Calls

Call 1

Inputs
(/.f64 1 x)
x
x

Outputs
(/.f64 1 x)
x
x

localize3.0ms (0.1%)

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

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	13.6b	(/.f64 (-.f64 -1 (.f64 x x)) (.f64 (-.f64 1 x) (+.f64 1 x)))
	0.0b	(*.f64 (-.f64 1 x) (+.f64 1 x))
	0.0b	(*.f64 (-.f64 1 x) (+.f64 1 x))
✓	13.6b	(/.f64 (-.f64 -1 (.f64 x x)) (.f64 (-.f64 1 x) (+.f64 1 x)))

Compiler

Compiled 38 to 23 computations (39.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite62.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

138× egg-rr

Counts

1 → 138

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 x x -1)) (/.f64 (*.f64 x x) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x x) (fma.f64 x x -1)) (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 x x 1) (fma.f64 x x -1)) 0) (/.f64 (fma.f64 x x 1) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 x x 1) (fma.f64 x x -1)) (*.f64 (/.f64 (fma.f64 x x 1) (fma.f64 x x -1)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 x x -1)) (*.f64 (/.f64 -1 (fma.f64 x x -1)) (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (fma.f64 x x -1)) (neg.f64 (*.f64 x x))) (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 x x -1)) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 (fma.f64 x x 1) (fma.f64 x x 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(#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (fma.f64 x x -1)) (/.f64 -1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) (fma.f64 x x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x 1) (fma.f64 x x -1)) 2)) (cbrt.f64 (/.f64 (fma.f64 x x 1) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x -1)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x -1)) (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x x 1) (fma.f64 x x -1))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify128.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

150 → 152

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))

Outputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) -1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 4))) 1)
(fma.f64 -2 (fma.f64 x x (pow.f64 x 4)) -1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
(+.f64 (*.f64 -2 (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 6))) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(fma.f64 (pow.f64 x -2) 2 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 2 (+.f64 (pow.f64 x -4) (pow.f64 x -2)) 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (*.f64 2 (+.f64 (+.f64 (pow.f64 x -4) (pow.f64 x -2)) (pow.f64 x -6))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(fma.f64 (pow.f64 x -2) 2 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 2 (+.f64 (pow.f64 x -4) (pow.f64 x -2)) 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (*.f64 2 (+.f64 (+.f64 (pow.f64 x -4) (pow.f64 x -2)) (pow.f64 x -6))))

eval220.0ms (4.5%)

Compiler: Compiled 10065 to 6602 computations (34.4% saved)

prune68.0ms (1.4%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	505	4	509
Fresh	1	1	2
Picked	1	0	1
Done	2	5	7
Total	509	10	519

Error

Counts

519 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.2b	(+.f64 (neg.f64 (+.f64 1 x)) (/.f64 x (+.f64 x 1)))
	37.2b	1
✓	61.7b	(/.f64 1 x)
✓	36.5b	(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
▶	62.2b	(/.f64 (-.f64 -1 (*.f64 x x)) (neg.f64 x))
	26.7b	-1
✓	61.9b	(+.f64 (/.f64 1 x) x)
▶	14.0b	(/.f64 (-.f64 -1 (.f64 x x)) (-.f64 1 (.f64 x x)))
✓	26.3b	(+.f64 (/.f64 1 (-.f64 x 1)) x)
▶	51.6b	(/.f64 (-.f64 -1 (.f64 x x)) (neg.f64 (.f64 x x)))

Compiler

Compiled 75 to 51 computations (32% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	13.6b	(/.f64 (-.f64 -1 (.f64 x x)) (neg.f64 (.f64 x x)))
✓	13.6b	(/.f64 (-.f64 -1 (.f64 x x)) (neg.f64 (.f64 x x)))

Compiler

Compiled 25 to 9 computations (64% saved)

series4.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/.f64 (-.f64 -1 (.f64 x x)) (neg.f64 (.f64 x x)))
1.0ms	x	@	inf	(/.f64 (-.f64 -1 (.f64 x x)) (neg.f64 (.f64 x x)))
0.0ms	x	@	-inf	(/.f64 (-.f64 -1 (.f64 x x)) (neg.f64 (.f64 x x)))

rewrite47.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

123× egg-rr

Counts

1 → 123

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.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 (*.f64 (+.f64 (pow.f64 x -2) 1) 0) (+.f64 (pow.f64 x -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 x -2) 1) (*.f64 (+.f64 (pow.f64 x -2) 1) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (neg.f64 (pow.f64 x -2)) (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (neg.f64 (*.f64 x x))) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (+.f64 (pow.f64 x -2) 1)) (+.f64 (pow.f64 x -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 x -2) 1) (*.f64 0 (+.f64 (pow.f64 x -2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 -1 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (pow.f64 x 4)) (/.f64 (neg.f64 (pow.f64 x 4)) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 -1 (-.f64 (pow.f64 x 4) (fma.f64 x x -1))) (neg.f64 (*.f64 x x))) (/.f64 (/.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (fma.f64 x x -1))) (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) 1)) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) 1) 2)) (cbrt.f64 (+.f64 (pow.f64 x -2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x -1)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x -1)) x) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (neg.f64 x)))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x (pow.f64 x 4)) (/.f64 1 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (pow.f64 x 6)) (/.f64 1 (*.f64 (-.f64 (pow.f64 x 4) (fma.f64 x x -1)) (neg.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x x 1) (cbrt.f64 (*.f64 x x))) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (neg.f64 x) x -1) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -2)) (fma.f64 (neg.f64 x) x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x 1) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 x -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 -1 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (fma.f64 x x 1))))) 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x) (*.f64 (*.f64 x x) (/.f64 (*.f64 x x) x))) (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cbrt.f64 (neg.f64 (pow.f64 x -2)))))) (*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 1 x) x) (*.f64 x (neg.f64 (/.f64 (*.f64 x x) x)))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 1 x) (neg.f64 (*.f64 x x))) (pow.f64 x 3)) (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 1 x) (*.f64 x x)) (neg.f64 (pow.f64 x 3))) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 1 x) (neg.f64 x)) (*.f64 x (/.f64 (*.f64 x x) x))) (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x 4))) (*.f64 x (*.f64 (*.f64 x x) (cbrt.f64 (neg.f64 (pow.f64 x -2)))))) (*.f64 x (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) x) (*.f64 (cbrt.f64 (pow.f64 x 4)) (neg.f64 (/.f64 (*.f64 x x) x)))) (*.f64 (cbrt.f64 (pow.f64 x 4)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (neg.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 x x))) (*.f64 (cbrt.f64 (pow.f64 x 4)) (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (neg.f64 (*.f64 x x)))) (*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (neg.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 x x) x))) (*.f64 (cbrt.f64 (pow.f64 x 4)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x 4))) (*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (*.f64 x x) (cbrt.f64 (neg.f64 (pow.f64 x -2)))))) (cbrt.f64 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 x) (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (/.f64 (*.f64 x x) x)))) (*.f64 (neg.f64 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (*.f64 (neg.f64 (*.f64 x x)) (/.f64 (*.f64 x x) x))) (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cbrt.f64 (neg.f64 (pow.f64 x 4))) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 x x) (cbrt.f64 (neg.f64 (pow.f64 x -2)))))) (*.f64 (neg.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 -1 (pow.f64 x 6)) (neg.f64 (pow.f64 x -2)))) (neg.f64 (-.f64 (pow.f64 x 4) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 6)) (neg.f64 (*.f64 (-.f64 (pow.f64 x 4) (fma.f64 x x -1)) (neg.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (fma.f64 x x 1) (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (neg.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (pow.f64 x 6)) (neg.f64 (pow.f64 x -2))) (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) 1) 2)) (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (pow.f64 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 x) x -1) 2) (pow.f64 x 4)))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) 1) 2))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 -1 (pow.f64 x 6)) (neg.f64 (pow.f64 x -2))) 1) (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x -1)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (pow.f64 x -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 6)) (pow.f64 x -2)) (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (*.f64 x x)) (pow.f64 x 4)) (neg.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x (pow.f64 x 4))) (neg.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 x -2) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) 1)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) 1)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 x -2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 -1 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (-.f64 -1 (pow.f64 x -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (neg.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 x) (/.f64 -1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (/.f64 -1 (cbrt.f64 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))) 1)))))

simplify85.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

135 → 127

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 x 2))
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
1
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
1
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (/.f64 1 (pow.f64 x 2)))

Outputs
(/.f64 1 (pow.f64 x 2))
(pow.f64 x -2)
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (pow.f64 x -2))
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (pow.f64 x -2))
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (pow.f64 x -2))
1
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (pow.f64 x -2))
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (pow.f64 x -2))
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (pow.f64 x -2))
1
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (pow.f64 x -2))
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (pow.f64 x -2))
(+.f64 1 (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (pow.f64 x -2))

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	13.6b	(/.f64 (-.f64 -1 (.f64 x x)) (-.f64 1 (.f64 x x)))
✓	13.6b	(/.f64 (-.f64 -1 (.f64 x x)) (-.f64 1 (.f64 x x)))

Compiler

Compiled 28 to 13 computations (53.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

107× egg-rr

Counts

1 → 107

Calls

Call 1

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

Outputs

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

simplify125.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

119 → 121

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))

Outputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) -1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 4))) 1)
(fma.f64 -2 (fma.f64 x x (pow.f64 x 4)) -1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
(+.f64 (*.f64 -2 (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 6))) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(fma.f64 (pow.f64 x -2) 2 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 2 (+.f64 (pow.f64 x -4) (pow.f64 x -2)) 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (*.f64 2 (+.f64 (+.f64 (pow.f64 x -4) (pow.f64 x -2)) (pow.f64 x -6))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(fma.f64 (pow.f64 x -2) 2 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 2 (+.f64 (pow.f64 x -4) (pow.f64 x -2)) 1)
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (*.f64 2 (+.f64 (+.f64 (pow.f64 x -4) (pow.f64 x -2)) (pow.f64 x -6))))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	13.0b	(/.f64 (-.f64 -1 (*.f64 x x)) (neg.f64 x))
✓	13.0b	(/.f64 (-.f64 -1 (*.f64 x x)) (neg.f64 x))

Compiler

Compiled 21 to 9 computations (57.1% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite43.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

117× egg-rr

Counts

1 → 117

Calls

Call 1

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

Outputs

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

simplify135.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

129 → 119

Calls

Call 1

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

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

eval131.0ms (2.7%)

Compiler: Compiled 6004 to 3739 computations (37.7% saved)

prune50.0ms (1%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	366	1	367
Fresh	1	1	2
Picked	0	1	1
Done	0	7	7
Total	367	10	377

Error

Counts

377 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	26.7b	-1
	37.2b	1
✓	61.7b	(/.f64 1 x)
✓	36.5b	(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
✓	62.2b	(/.f64 (-.f64 -1 (*.f64 x x)) (neg.f64 x))
✓	26.2b	(+.f64 (neg.f64 (+.f64 1 x)) (/.f64 x (+.f64 x 1)))
✓	61.9b	(+.f64 (/.f64 1 x) x)
✓	14.0b	(/.f64 (-.f64 -1 (.f64 x x)) (-.f64 1 (.f64 x x)))
✓	26.3b	(+.f64 (/.f64 1 (-.f64 x 1)) x)
✓	51.6b	(/.f64 (-.f64 -1 (.f64 x x)) (neg.f64 (.f64 x x)))

Compiler

Compiled 75 to 51 computations (32% saved)

regimes22.0ms (0.4%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	x
4.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
3.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))`
0.0b	1	`(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))`

Compiler

Compiled 161 to 106 computations (34.2% saved)

regimes17.0ms (0.3%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	x
3.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))`

Compiler

Compiled 137 to 88 computations (35.8% saved)

regimes24.0ms (0.5%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

1 calls:

21.0ms

Results

Error	Segments	Branch
0b	3	`x`

Compiler

Compiled 71 to 44 computations (38% saved)

bsearch42.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	217.42425346235066	793813915869.1803
18.0ms	-3.1491243737238447e+164	-2.0767409771830413e+150

Compiler

Compiled 16 to 12 computations (25% saved)

regimes25.0ms (0.5%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

21.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 60 to 39 computations (35% saved)

bsearch35.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.0014330358898819087	217.42425346235066
18.0ms	-24.77383574916951	-0.6424099020955067

Compiler

Compiled 16 to 12 computations (25% saved)

regimes30.0ms (0.6%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

27.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 50 to 32 computations (36% saved)

bsearch64.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	0.0014330358898819087	217.42425346235066
33.0ms	-0.6424099020955067	-0.005019985370187243

Compiler

Compiled 16 to 12 computations (25% saved)

regimes38.0ms (0.8%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

34.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 31 to 22 computations (29% saved)

bsearch53.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	0.0014330358898819087	217.42425346235066
31.0ms	-24.77383574916951	-0.6424099020955067

Compiler

Compiled 16 to 12 computations (25% saved)

regimes16.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

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

Outputs
1
-1
1

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch36.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.0014330358898819087	217.42425346235066
18.0ms	-24.77383574916951	-0.6424099020955067

Compiler

Compiled 16 to 12 computations (25% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

3 → 1

Calls

Call 1

Inputs
1
1
1

Outputs
1

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
37.2b	1	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify97.0ms (2%)

Algorithm

1×	egg-herbie

Stop Event

1×

fuel

Calls

Call 1

Inputs
(+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(if (<=.f64 x -314912437372384470387200659236915917234061866271249899462746789643797213038707704331657659865169748981254385273585837552015632133516586849517998285019805548936167424) 1 (if (<=.f64 x 7649935834955865/35184372088832) (/.f64 (-.f64 -1 (.f64 x x)) (-.f64 1 (.f64 x x))) 1))
(if (<=.f64 x -6973214840531105/281474976710656) 1 (if (<=.f64 x 826088947159131/576460752303423488) (+.f64 (neg.f64 (+.f64 1 x)) (/.f64 x (+.f64 x 1))) (+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))))
(if (<=.f64 x -2893156995696441/4503599627370496) (+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1))) (if (<=.f64 x 826088947159131/576460752303423488) (+.f64 (/.f64 1 (-.f64 x 1)) x) (+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))))
(if (<=.f64 x -6973214840531105/281474976710656) 1 (if (<=.f64 x 826088947159131/576460752303423488) (+.f64 (/.f64 1 (-.f64 x 1)) x) 1))
(if (<=.f64 x -6973214840531105/281474976710656) 1 (if (<=.f64 x 826088947159131/576460752303423488) -1 1))
1

Outputs
(+.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -3)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
(if (<=.f64 x -314912437372384470387200659236915917234061866271249899462746789643797213038707704331657659865169748981254385273585837552015632133516586849517998285019805548936167424) 1 (if (<=.f64 x 7649935834955865/35184372088832) (/.f64 (-.f64 -1 (.f64 x x)) (-.f64 1 (.f64 x x))) 1))
(if (<=.f64 x -314912437372384470387200659236915917234061866271249899462746789643797213038707704331657659865169748981254385273585837552015632133516586849517998285019805548936167424) 1 (if (<=.f64 x 7649935834955865/35184372088832) (/.f64 (fma.f64 x x 1) (fma.f64 x x -1)) 1))
(if (<=.f64 x -6973214840531105/281474976710656) 1 (if (<=.f64 x 826088947159131/576460752303423488) (+.f64 (neg.f64 (+.f64 1 x)) (/.f64 x (+.f64 x 1))) (+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))))
(if (<=.f64 x -6973214840531105/281474976710656) 1 (if (<=.f64 x 826088947159131/576460752303423488) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 1 x))) (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(if (<=.f64 x -2893156995696441/4503599627370496) (+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1))) (if (<=.f64 x 826088947159131/576460752303423488) (+.f64 (/.f64 1 (-.f64 x 1)) x) (+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))))
(if (<=.f64 x -2893156995696441/4503599627370496) (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x))) (if (<=.f64 x 826088947159131/576460752303423488) (+.f64 (/.f64 1 (+.f64 x -1)) x) (+.f64 (/.f64 1 x) (/.f64 x (+.f64 1 x)))))
(if (<=.f64 x -6973214840531105/281474976710656) 1 (if (<=.f64 x 826088947159131/576460752303423488) (+.f64 (/.f64 1 (-.f64 x 1)) x) 1))
(if (<=.f64 x -6973214840531105/281474976710656) 1 (if (<=.f64 x 826088947159131/576460752303423488) (+.f64 (/.f64 1 (+.f64 x -1)) x) 1))
(if (<=.f64 x -6973214840531105/281474976710656) 1 (if (<=.f64 x 826088947159131/576460752303423488) -1 1))
1

Compiler

Compiled 142 to 105 computations (26.1% saved)

soundness0.0ms (0%)

end86.0ms (1.8%)

Compiler: Compiled 135 to 98 computations (27.4% saved)

Details

analyze5.0ms (0.1%)

sample809.0ms (16.5%)

preprocess90.0ms (1.8%)

simplify33.0ms (0.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.2%)

series5.0ms (0.1%)

rewrite63.0ms (1.3%)

simplify202.0ms (4.1%)

eval83.0ms (1.7%)

prune33.0ms (0.7%)

localize20.0ms (0.4%)

series4.0ms (0.1%)

rewrite51.0ms (1%)

simplify217.0ms (4.4%)

localize7.0ms (0.1%)

rewrite0.0ms (0%)

simplify42.0ms (0.9%)

localize10.0ms (0.2%)

series1.0ms (0%)

rewrite39.0ms (0.8%)

simplify99.0ms (2%)

localize11.0ms (0.2%)

rewrite0.0ms (0%)

simplify42.0ms (0.9%)

localize17.0ms (0.4%)

series4.0ms (0.1%)

rewrite80.0ms (1.6%)

simplify282.0ms (5.8%)

eval374.0ms (7.6%)

prune120.0ms (2.4%)

localize16.0ms (0.3%)

series6.0ms (0.1%)

rewrite46.0ms (0.9%)

simplify131.0ms (2.7%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite74.0ms (1.5%)

simplify74.0ms (1.5%)

localize3.0ms (0.1%)

localize16.0ms (0.3%)

series1.0ms (0%)

rewrite62.0ms (1.3%)

simplify128.0ms (2.6%)

eval220.0ms (4.5%)

prune68.0ms (1.4%)

localize8.0ms (0.2%)

series4.0ms (0.1%)

rewrite47.0ms (0.9%)

simplify85.0ms (1.7%)

localize9.0ms (0.2%)

series1.0ms (0%)

rewrite51.0ms (1%)

simplify125.0ms (2.6%)

localize8.0ms (0.2%)

series2.0ms (0%)

rewrite43.0ms (0.9%)

simplify135.0ms (2.7%)

eval131.0ms (2.7%)

prune50.0ms (1%)

regimes22.0ms (0.4%)

regimes17.0ms (0.3%)

regimes24.0ms (0.5%)

bsearch42.0ms (0.9%)

regimes25.0ms (0.5%)

bsearch35.0ms (0.7%)

regimes30.0ms (0.6%)

bsearch64.0ms (1.3%)

regimes38.0ms (0.8%)

bsearch53.0ms (1.1%)

regimes16.0ms (0.3%)

bsearch36.0ms (0.7%)

regimes5.0ms (0.1%)

simplify97.0ms (2%)

soundness0.0ms (0%)

end86.0ms (1.8%)

Profiling