Details

analyze0.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.5s (40%)

Results

677.0ms	2113×	body	1024	valid
504.0ms	4920×	body	256	valid
211.0ms	1021×	body	512	valid
78.0ms	202×	body	2048	valid

preprocess96.0ms (2.6%)

Algorithm

2×	egg-herbie

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 y)))) 1)

Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 y)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 y)))) -1)

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify33.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 2

Calls

Call 1

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

Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)

eval1.0ms (0%)

Compiler: Compiled 22 to 20 computations (9.1% 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

28.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.5b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Compiler

Compiled 12 to 11 computations (8.3% saved)

localize15.0ms (0.4%)

Local error

Found 6 expressions with local error:

New	Error	Program
	3.5b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
	0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
	0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
✓	0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
✓	0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
✓	3.5b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Compiler

Compiled 37 to 31 computations (16.2% saved)

series5.0ms (0.1%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
1.0ms	x	@	-inf	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
1.0ms	x	@	0	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
1.0ms	x	@	inf	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
1.0ms	x	@	-inf	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

rewrite65.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

82×	`egg-rr`
80×	`egg-rr`
53×	`egg-rr`

Counts

3 → 215

Calls

Call 1

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

Outputs
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Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (exp.f64 (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 0) (+.f64 1 (exp.f64 (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) (*.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (+.f64 1 (exp.f64 (*.f64 -2 x)))) (+.f64 1 (exp.f64 (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) (*.f64 0 (+.f64 1 (exp.f64 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (exp.f64 (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 -2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 (*.f64 -2 x)) 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 0 (exp.f64 (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (*.f64 -2 x)) 0) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 -1 (exp.f64 (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (neg.f64 (exp.f64 (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (*.f64 -2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 (*.f64 (*.f64 -2 x) 3))) (/.f64 1 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 -1 (exp.f64 (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (exp.f64 (*.f64 -2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))) (+.f64 1 (exp.f64 (*.f64 (*.f64 -2 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 -1 (exp.f64 (*.f64 -2 x)))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 -1 (exp.f64 (*.f64 -2 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 (*.f64 -2 x) 3)))) (/.f64 1 (neg.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 (cbrt.f64 (exp.f64 (*.f64 x -4))) (cbrt.f64 (exp.f64 (*.f64 -2 x))))) (+.f64 1 (cbrt.f64 (exp.f64 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (exp.f64 (*.f64 x -4))) (-.f64 1 (cbrt.f64 (exp.f64 (*.f64 -2 x))))) (+.f64 (cbrt.f64 (exp.f64 (*.f64 -2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))) (cbrt.f64 (pow.f64 (-.f64 -1 (exp.f64 (*.f64 -2 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 -1 (exp.f64 (*.f64 -2 x))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 (*.f64 (*.f64 -2 x) 3))) (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 (*.f64 -2 x) 3)))) (neg.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 (+.f64 1 (exp.f64 (*.f64 (*.f64 -2 x) 3))))) (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 -1 (exp.f64 (*.f64 -2 x))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 (*.f64 (*.f64 -2 x) 3))))) (cbrt.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 (*.f64 -2 x) 3)))) 1) (neg.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (exp.f64 (*.f64 (*.f64 (*.f64 -2 x) 3) 3))) (/.f64 1 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x))))) (-.f64 (+.f64 1 (exp.f64 (*.f64 (*.f64 x -4) 3))) (exp.f64 (*.f64 (*.f64 -2 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 (*.f64 (*.f64 -2 x) 3)))) (cbrt.f64 (pow.f64 (-.f64 -1 (exp.f64 (*.f64 -2 x))) 2))) (cbrt.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (exp.f64 (*.f64 -2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (exp.f64 (*.f64 (*.f64 -2 x) 3))) (cbrt.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x))))) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (exp.f64 (*.f64 (*.f64 (*.f64 -2 x) 3) 3))) 1) (*.f64 (-.f64 (+.f64 1 (exp.f64 (*.f64 (*.f64 x -4) 3))) (exp.f64 (*.f64 (*.f64 -2 x) 3))) (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 (*.f64 -2 x) 3)))) 1) (*.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x -4)) (expm1.f64 (*.f64 -2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 -1 (exp.f64 (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 -1 (exp.f64 (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (*.f64 -2 x))) (cbrt.f64 (exp.f64 (*.f64 x -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (*.f64 -2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 1 (exp.f64 (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (*.f64 x -4))) (cbrt.f64 (exp.f64 (*.f64 -2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 (*.f64 -2 x)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (neg.f64 (exp.f64 (*.f64 -2 x))) 1)))))

simplify99.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

235 → 236

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5)))))
2
(+.f64 2 (*.f64 -2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 2 (.f64 -2 x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x)))
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1)
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(+.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5)))))
(+.f64 1 (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x)))
2
(+.f64 2 (*.f64 -2 x))
(fma.f64 -2 x 2)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 2 (.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
(+.f64 (fma.f64 (.f64 x x) 2 2) (fma.f64 (pow.f64 x 3) -4/3 (.f64 -2 x)))

eval97.0ms (2.6%)

Compiler: Compiled 4434 to 4004 computations (9.7% saved)

prune36.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	231	5	236
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	231	6	237

Error

Counts

237 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	43.4b	(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
	31.7b	x
▶	60.2b	(-.f64 (+.f64 1 x) 1)
✓	28.5b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶	33.0b	(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
▶	33.2b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)

Compiler

Compiled 57 to 48 computations (15.8% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 -1/3 (pow.f64 x 3))
✓	0.1b	(*.f64 -1/3 (pow.f64 x 3))

Compiler

Compiled 20 to 15 computations (25% saved)

series2.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

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

rewrite51.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

29× egg-rr

Counts

1 → 29

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1/3 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 -1/3) (.f64 (cbrt.f64 1/9) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1/3 (.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 -1/3 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 1/9) (pow.f64 x 3)) (cbrt.f64 -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 -1/3) x) (.f64 (cbrt.f64 1/9) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 1/9) (.f64 x x)) (.f64 (cbrt.f64 -1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) (.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1/3 x) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 3) (cbrt.f64 -1/3)) (cbrt.f64 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 1/9) (.f64 (pow.f64 x 3) (cbrt.f64 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/3 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/3 (pow.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 -1/3 (pow.f64 x 3)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 (cbrt.f64 -1/3) x)) (neg.f64 (.f64 (cbrt.f64 1/9) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 (pow.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 3) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 -1/3) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/27 (pow.f64 (pow.f64 x 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 -1/27 (pow.f64 (pow.f64 x 3) 3)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -1/3) (*.f64 (cbrt.f64 1/9) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/3 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 -1/3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 1/9) (pow.f64 x 3)) (cbrt.f64 -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 -1/3) x) (*.f64 (cbrt.f64 1/9) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 1/9) (*.f64 x x)) (*.f64 (cbrt.f64 -1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/3 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 -1/3)) (cbrt.f64 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/9) (*.f64 (pow.f64 x 3) (cbrt.f64 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (pow.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -1/3 (pow.f64 x 3)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 -1/3) x)) (neg.f64 (*.f64 (cbrt.f64 1/9) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (pow.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 3) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 -1/3) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/27 (pow.f64 (pow.f64 x 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/27 (pow.f64 (pow.f64 x 3) 3)))))))

simplify43.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

29 → 29

Calls

Call 1

Inputs

Outputs

localize17.0ms (0.5%)

Local error

Found 6 expressions with local error:

New	Error	Program
	21.3b	(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
	0.1b	(*.f64 -1/3 (pow.f64 x 3))
	0.1b	(*.f64 2/15 (pow.f64 x 5))
✓	0.1b	(*.f64 2/15 (pow.f64 x 5))
	0.1b	(*.f64 -1/3 (pow.f64 x 3))
✓	21.3b	(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))

Compiler

Compiled 43 to 33 computations (23.3% saved)

series3.0ms (0.1%)

Counts

2 → 10

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
0.0ms	x	@	0	(*.f64 2/15 (pow.f64 x 5))
0.0ms	x	@	-inf	(*.f64 2/15 (pow.f64 x 5))
0.0ms	x	@	inf	(*.f64 2/15 (pow.f64 x 5))
0.0ms	x	@	0	(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))

rewrite40.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

67×	`egg-rr`
30×	`egg-rr`

Counts

2 → 97

Calls

Call 1

Inputs
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(*.f64 2/15 (pow.f64 x 5))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2/15 (pow.f64 x 5) x) (.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (.f64 2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2/15 (pow.f64 x 5)) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x)) (.f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x)) 0) (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x)) (.f64 0 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x))) (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x 3) -1/3 (.f64 2/15 (pow.f64 x 5))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1) (.f64 2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (fma.f64 (pow.f64 x 3) -1/3 (.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2/15 (pow.f64 x 5)) (.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (-.f64 (.f64 (.f64 x x) (cbrt.f64 1/9)) (.f64 x (cbrt.f64 (.f64 -1/3 (fma.f64 2/15 (pow.f64 x 5) x)))))) (+.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (.f64 (cbrt.f64 -1/3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (.f64 x x) (cbrt.f64 1/9)) (-.f64 (cbrt.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (.f64 x (cbrt.f64 (.f64 -1/3 (fma.f64 2/15 (pow.f64 x 5) x)))))) (+.f64 (.f64 (cbrt.f64 -1/3) x) (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x)) 2)) (cbrt.f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (cbrt.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 -1/3) x) (.f64 (.f64 x x) (cbrt.f64 1/9)) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -1/3) (.f64 (cbrt.f64 1/9) (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/3 x) (.f64 x x) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 -1/3 (.f64 x x)) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/3 (.f64 x x)) x (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x x) (cbrt.f64 1/9)) (.f64 (cbrt.f64 -1/3) x) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) (.f64 -1/3 x) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (.f64 1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 x 3) (cbrt.f64 -1/3)) (cbrt.f64 1/9) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/3 (.f64 2/15 (pow.f64 x 5)))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/3 (.f64 2/15 (pow.f64 x 5))) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) (fma.f64 (pow.f64 x 3) -1/3 (.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (fma.f64 (pow.f64 x 3) -1/3 (.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (neg.f64 x) (fma.f64 (pow.f64 x 3) -1/3 (.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 x 5) (sqrt.f64 2/15)) (sqrt.f64 2/15) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 4/225 (pow.f64 x (.f64 2 5)))) (cbrt.f64 (.f64 2/15 (pow.f64 x 5))) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 2/15 (pow.f64 x 5))) (cbrt.f64 (.f64 4/225 (pow.f64 x (.f64 2 5)))) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 5)) (.f64 (cbrt.f64 (pow.f64 x (.f64 2 5))) 2/15) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2/15) (.f64 (cbrt.f64 4/225) (pow.f64 x 5)) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 x 5) (cbrt.f64 2/15)) (cbrt.f64 4/225) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (.f64 -2/15 (pow.f64 x 5)) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2/15 (cbrt.f64 (pow.f64 x 5))) (cbrt.f64 (pow.f64 x (.f64 2 5))) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2/15) (.f64 (pow.f64 x 5) (sqrt.f64 2/15)) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 2/15 (pow.f64 x 5) x) (.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 3) -1/3 (.f64 2/15 (pow.f64 x 5))) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) 1 (.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/3 (pow.f64 x 3)) 1 (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (pow.f64 x 3) -1/3 (.f64 2/15 (pow.f64 x 5))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (fma.f64 (pow.f64 x 3) -1/3 (.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 (pow.f64 x 3) -1/3 (.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 2/15 (pow.f64 x 5)) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2/15 (pow.f64 x 5)) 1 (fma.f64 -1/3 (pow.f64 x 3) x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2/15 (pow.f64 x 5)) (.f64 (.f64 2/15 (pow.f64 x 5)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 2/15 (pow.f64 x 5)) 0) (.f64 2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2/15 (pow.f64 x 5)) (.f64 0 (.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (.f64 2/15 (pow.f64 x 5))) (.f64 2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 5) (cbrt.f64 2/15)) (cbrt.f64 4/225))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x 5)) (.f64 (cbrt.f64 (pow.f64 x (.f64 2 5))) 2/15))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 2/15) (.f64 (cbrt.f64 4/225) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 -2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 x (.f64 2 5))) 2/15) (cbrt.f64 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 4/225) (pow.f64 x 5)) (cbrt.f64 2/15))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 4/225) (.f64 (pow.f64 x 5) (cbrt.f64 2/15)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2/15 (pow.f64 x 5)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 2/15 (pow.f64 x 5))) (cbrt.f64 (.f64 4/225 (pow.f64 x (.f64 2 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2/15 (pow.f64 x 5))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 5) 2/15)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 4/225 (pow.f64 x (.f64 2 5)))) (cbrt.f64 (.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2/15 (cbrt.f64 (pow.f64 x 5))) (cbrt.f64 (pow.f64 x (.f64 2 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 5) (sqrt.f64 2/15)) (sqrt.f64 2/15))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 2/15) (.f64 (pow.f64 x 5) (sqrt.f64 2/15)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2/15 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x (.f64 2 5))) (.f64 2/15 (cbrt.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2/15 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (pow.f64 x 5) 3) 8/3375) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 2/15 (pow.f64 x 5))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 2/15 (pow.f64 x 5))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 2/15 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2/15 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 -2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 x 5) 3) 8/3375))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (*.f64 2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/15 (pow.f64 x 5)) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x)) (*.f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x)) 0) (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x)) (*.f64 0 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x))))))) (#(struct:change #<rule 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(pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 (*.f64 x x) (cbrt.f64 1/9)) (*.f64 x (cbrt.f64 (*.f64 -1/3 (fma.f64 2/15 (pow.f64 x 5) x)))))) (+.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (*.f64 (cbrt.f64 -1/3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 x x) (cbrt.f64 1/9)) (-.f64 (cbrt.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (*.f64 x (cbrt.f64 (*.f64 -1/3 (fma.f64 2/15 (pow.f64 x 5) x)))))) (+.f64 (*.f64 (cbrt.f64 -1/3) x) (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x)) 2)) (cbrt.f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> 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(pow.f64 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (cbrt.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 -1/3) x) (*.f64 (*.f64 x x) (cbrt.f64 1/9)) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -1/3) (*.f64 (cbrt.f64 1/9) (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/3 x) (*.f64 x x) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 -1/3 (*.f64 x x)) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/3 (*.f64 x x)) x (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 1/9)) (*.f64 (cbrt.f64 -1/3) x) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 -1/3 x) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 -1/3)) (cbrt.f64 1/9) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/3 (*.f64 2/15 (pow.f64 x 5)))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/3 (*.f64 2/15 (pow.f64 x 5))) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (fma.f64 (pow.f64 x 3) -1/3 (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (fma.f64 (pow.f64 x 3) -1/3 (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (neg.f64 x) (fma.f64 (pow.f64 x 3) -1/3 (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 5) (sqrt.f64 2/15)) (sqrt.f64 2/15) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4/225 (pow.f64 x (*.f64 2 5)))) (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) (cbrt.f64 (*.f64 4/225 (pow.f64 x (*.f64 2 5)))) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 5)) (*.f64 (cbrt.f64 (pow.f64 x (*.f64 2 5))) 2/15) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2/15) (*.f64 (cbrt.f64 4/225) (pow.f64 x 5)) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 5) (cbrt.f64 2/15)) (cbrt.f64 4/225) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 -2/15 (pow.f64 x 5)) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/15 (cbrt.f64 (pow.f64 x 5))) (cbrt.f64 (pow.f64 x (*.f64 2 5))) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2/15) (*.f64 (pow.f64 x 5) (sqrt.f64 2/15)) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 3) -1/3 (*.f64 2/15 (pow.f64 x 5))) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) 1 (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/3 (pow.f64 x 3)) 1 (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (pow.f64 x 3) -1/3 (*.f64 2/15 (pow.f64 x 5))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (fma.f64 (pow.f64 x 3) -1/3 (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 (pow.f64 x 3) -1/3 (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2/15 (pow.f64 x 5)) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/15 (pow.f64 x 5)) 1 (fma.f64 -1/3 (pow.f64 x 3) x))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/15 (pow.f64 x 5)) (*.f64 (*.f64 2/15 (pow.f64 x 5)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2/15 (pow.f64 x 5)) 0) (*.f64 2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/15 (pow.f64 x 5)) (*.f64 0 (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 2/15 (pow.f64 x 5))) (*.f64 2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 5) (cbrt.f64 2/15)) (cbrt.f64 4/225))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 5)) (*.f64 (cbrt.f64 (pow.f64 x (*.f64 2 5))) 2/15))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2/15) (*.f64 (cbrt.f64 4/225) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 -2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 x (*.f64 2 5))) 2/15) (cbrt.f64 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 4/225) (pow.f64 x 5)) (cbrt.f64 2/15))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 4/225) (*.f64 (pow.f64 x 5) (cbrt.f64 2/15)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2/15 (pow.f64 x 5)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) (cbrt.f64 (*.f64 4/225 (pow.f64 x (*.f64 2 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/15 (pow.f64 x 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 5) 2/15)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4/225 (pow.f64 x (*.f64 2 5)))) (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/15 (cbrt.f64 (pow.f64 x 5))) (cbrt.f64 (pow.f64 x (*.f64 2 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 5) (sqrt.f64 2/15)) (sqrt.f64 2/15))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2/15) (*.f64 (pow.f64 x 5) (sqrt.f64 2/15)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/15 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x (*.f64 2 5))) (*.f64 2/15 (cbrt.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2/15 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/3375) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/15 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/3375))))))

simplify68.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

107 → 103

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	3.5b	(-.f64 (+.f64 1 x) 1)
✓	3.5b	(-.f64 (+.f64 1 x) 1)

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite32.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

92× egg-rr

Counts

1 → 91

Calls

Call 1

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

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

Outputs

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

simplify86.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

103 → 92

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x

Outputs
x
x
x
x
x
x
x
x
x
x
x
x

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.7b	(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
	0.0b	(/.f64 2 (+.f64 2 (*.f64 -2 x)))
✓	0.0b	(/.f64 2 (+.f64 2 (*.f64 -2 x)))
✓	3.7b	(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)

Compiler

Compiled 30 to 25 computations (16.7% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
0.0ms	x	@	0	(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
0.0ms	x	@	-inf	(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
0.0ms	x	@	inf	(/.f64 2 (+.f64 2 (*.f64 -2 x)))
0.0ms	x	@	-inf	(/.f64 2 (+.f64 2 (*.f64 -2 x)))

rewrite52.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

82×	`egg-rr`
80×	`egg-rr`

Counts

2 → 162

Calls

Call 1

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

Outputs

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

simplify163.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

186 → 189

Calls

Call 1

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

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

eval151.0ms (4.1%)

Compiler: Compiled 6474 to 5276 computations (18.5% saved)

prune58.0ms (1.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	438	4	442
Fresh	1	0	1
Picked	1	0	1
Done	2	2	4
Total	442	6	448

Error

Counts

448 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	60.2b	(-.f64 (+.f64 1 x) 1)
✓	28.5b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶	33.0b	(+.f64 (.f64 (.f64 x x) (.f64 -1/3 x)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
▶	33.2b	(+.f64 (.f64 x (.f64 -1/3 (*.f64 x x))) x)
	44.0b	-1
	31.7b	x

Compiler

Compiled 53 to 41 computations (22.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 -1/3 (.f64 x x))
	0.1b	(.f64 x (.f64 -1/3 (*.f64 x x)))
✓	0.1b	(.f64 x (.f64 -1/3 (*.f64 x x)))
✓	0.2b	(.f64 -1/3 (.f64 x x))

Compiler

Compiled 28 to 13 computations (53.6% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 -1/3 (.f64 x x))
0.0ms	x	@	inf	(.f64 -1/3 (.f64 x x))
0.0ms	x	@	-inf	(.f64 -1/3 (.f64 x x))
0.0ms	x	@	inf	(.f64 x (.f64 -1/3 (*.f64 x x)))
0.0ms	x	@	0	(.f64 x (.f64 -1/3 (*.f64 x x)))

rewrite56.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

35×	`egg-rr`
33×	`egg-rr`

Counts

2 → 68

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 1/3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2/3) (*.f64 (pow.f64 x 4/3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x -1/3) (cbrt.f64 x)) (pow.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 4/3) -1/3) (pow.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2/3) (*.f64 (*.f64 x -1/3) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/3 (*.f64 x x))) (*.f64 (pow.f64 x 4/3) (cbrt.f64 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 4/3) (cbrt.f64 1/9)) (cbrt.f64 (*.f64 -1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/3 (pow.f64 x 2/3)) (pow.f64 x 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -1/3) (*.f64 (cbrt.f64 1/9) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 4/3) (*.f64 -1/3 (pow.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 1/9) (*.f64 x x)) (cbrt.f64 -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 (*.f64 x x))) (neg.f64 (*.f64 (pow.f64 x 4/3) (cbrt.f64 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (cbrt.f64 -1/3)) (cbrt.f64 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/9) (*.f64 (*.f64 x x) (cbrt.f64 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 1/3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -1/3 (*.f64 x x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/27 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1/3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/27 (pow.f64 x 6)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/3 (*.f64 x x))) (*.f64 (*.f64 (pow.f64 x 4/3) (cbrt.f64 1/9)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1/3) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/3 (*.f64 x x)) (cbrt.f64 x)) (pow.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (pow.f64 x 2/3) (*.f64 -1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2/3) (*.f64 -1/3 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2/3) (*.f64 (*.f64 -1/3 (*.f64 x x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 x 4/3) (cbrt.f64 1/9)) x) (cbrt.f64 (*.f64 -1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 -1/3)) (*.f64 (cbrt.f64 1/9) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 1/9) (*.f64 x x)) (*.f64 x (cbrt.f64 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x -1/3) (pow.f64 x 2/3)) (pow.f64 x 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (*.f64 -1/3 (*.f64 x x)))) (*.f64 (pow.f64 x 4/3) (cbrt.f64 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 4/3) (*.f64 (*.f64 x -1/3) (pow.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 4/3) (cbrt.f64 1/9)) (*.f64 x (cbrt.f64 (*.f64 -1/3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 x (cbrt.f64 -1/3))) (neg.f64 (*.f64 (cbrt.f64 1/9) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 -1/3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/3 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (pow.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 x 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3) -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x 3) -1/3) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (pow.f64 x 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 3) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/27 (pow.f64 (pow.f64 x 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/27 (pow.f64 (pow.f64 x 3) 3)))))))

simplify147.0ms (4%)

Algorithm

1×	egg-herbie

Counts

92 → 69

Calls

Call 1

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

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

localize18.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	21.3b	(+.f64 (.f64 (.f64 x x) (.f64 -1/3 x)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
	0.4b	(*.f64 -1/3 x)
	0.1b	(.f64 (.f64 x x) (*.f64 -1/3 x))
	0.1b	(*.f64 2/15 (pow.f64 x 5))
	0.1b	(*.f64 2/15 (pow.f64 x 5))
✓	0.1b	(.f64 (.f64 x x) (*.f64 -1/3 x))
✓	0.4b	(*.f64 -1/3 x)
✓	21.3b	(+.f64 (.f64 (.f64 x x) (.f64 -1/3 x)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))

Compiler

Compiled 49 to 31 computations (36.7% saved)

series3.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 -1/3 x)
0.0ms	x	@	-inf	(*.f64 -1/3 x)
0.0ms	x	@	inf	(*.f64 -1/3 x)
0.0ms	x	@	0	(+.f64 (.f64 (.f64 x x) (.f64 -1/3 x)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
0.0ms	x	@	inf	(+.f64 (.f64 (.f64 x x) (.f64 -1/3 x)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))

rewrite47.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

72×	`egg-rr`
29×	`egg-rr`
25×	`egg-rr`

Counts

3 → 126

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 x x) (.f64 -1/3 x)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(*.f64 -1/3 x)
(.f64 (.f64 x x) (*.f64 -1/3 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (*.f64 2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/15 (pow.f64 x 5)) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 0) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) (*.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1) (*.f64 2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) (*.f64 0 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -1/3) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 (pow.f64 x 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/15 (pow.f64 x 5)) (*.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) (cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/3)) 2) (-.f64 (cbrt.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (*.f64 (*.f64 x (cbrt.f64 -1/3)) (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x))))) (+.f64 (*.f64 x (cbrt.f64 -1/3)) (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (-.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/3)) 2) (*.f64 (*.f64 x (cbrt.f64 -1/3)) (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x))))) (+.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (*.f64 x (cbrt.f64 -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 2)) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (neg.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 -1/3 x) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/3 x) (*.f64 x x) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x (*.f64 -1/3 x)) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 -1/3 x)) x (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 -1/3)) (pow.f64 (*.f64 x (cbrt.f64 -1/3)) 2) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (cbrt.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (*.f64 (pow.f64 x 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (pow.f64 x 3) -1/3) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 (pow.f64 x 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) 1 (*.f64 (pow.f64 x 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3) -1/3) 1 (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 (*.f64 -1/3 x))) (cbrt.f64 (*.f64 (*.f64 x x) 1/9)) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/3 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (pow.f64 x 4)) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (*.f64 -1/3 x)) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -1/3 x)) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/9)) (*.f64 x x)) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/3)) 2) (*.f64 x (cbrt.f64 -1/3)) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 -1/3 x)) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x (*.f64 -1/3 x))) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (neg.f64 x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 5)) (*.f64 (cbrt.f64 (pow.f64 x (*.f64 2 5))) 2/15) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 2/15 (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 5) (sqrt.f64 2/15)) (sqrt.f64 2/15) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2/15) (*.f64 (cbrt.f64 4/225) (pow.f64 x 5)) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 -2/15 (pow.f64 x 5)) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 5) (cbrt.f64 2/15)) (cbrt.f64 4/225) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/15 (cbrt.f64 (pow.f64 x 5))) (cbrt.f64 (pow.f64 x (*.f64 2 5))) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) (cbrt.f64 (*.f64 4/225 (pow.f64 x (*.f64 2 5)))) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2/15) (*.f64 (sqrt.f64 2/15) (pow.f64 x 5)) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2/15 (pow.f64 x 5)) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/15 (pow.f64 x 5)) 1 (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4/225 (pow.f64 x (*.f64 2 5)))) (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) (cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) x)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/3 x) 0) (*.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 x) (*.f64 (*.f64 -1/3 x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 -1/3 x)) (*.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 x) (*.f64 0 (*.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -1/3) (*.f64 (cbrt.f64 1/9) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/27 x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (*.f64 x x) -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (*.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/3 x)) (cbrt.f64 (*.f64 (*.f64 x x) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/9)) (cbrt.f64 (*.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 -1/3)) (cbrt.f64 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/3 x)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/3 x)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (neg.f64 (*.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 -1/3 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/3 x) 3))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 3) -1/3) 0) (*.f64 (pow.f64 x 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -1/3) (*.f64 (*.f64 (pow.f64 x 3) -1/3) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (pow.f64 x 3) -1/3)) (*.f64 (pow.f64 x 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -1/3) (*.f64 0 (*.f64 (pow.f64 x 3) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/3 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 -1/3)) (pow.f64 (*.f64 x (cbrt.f64 -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/3)) 2) (*.f64 x (cbrt.f64 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 -1/3 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (*.f64 -1/3 x)) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (cbrt.f64 (*.f64 -1/3 x))) (cbrt.f64 (*.f64 (*.f64 x x) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x (*.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/3 x)) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/9)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 x 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3) -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (*.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/3 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/3)) (+.f64 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/3)) (+.f64 1 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27))))))

simplify129.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

150 → 134

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))

eval69.0ms (1.9%)

Compiler: Compiled 3612 to 2500 computations (30.8% saved)

prune32.0ms (0.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	231	1	232
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	232	6	238

Error

Counts

238 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	44.0b	-1
	31.7b	x
✓	60.2b	(-.f64 (+.f64 1 x) 1)
✓	28.5b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓	33.0b	(+.f64 (.f64 (.f64 x x) (.f64 -1/3 x)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
✓	33.2b	(+.f64 (.f64 x (.f64 -1/3 (*.f64 x x))) x)

Compiler

Compiled 53 to 41 computations (22.6% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	4	4
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	44.0b	-1
	31.7b	x
✓	60.2b	(-.f64 (+.f64 1 x) 1)
✓	28.5b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓	33.0b	(+.f64 (.f64 (.f64 x x) (.f64 -1/3 x)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
✓	33.2b	(+.f64 (.f64 x (.f64 -1/3 (*.f64 x x))) x)

Compiler

Compiled 53 to 41 computations (22.6% saved)

regimes161.0ms (4.3%)

Counts

11 → 3

Calls

Call 1

Inputs
x
-1
x
x
(-.f64 (+.f64 1 x) 1)
(+.f64 (.f64 x (.f64 -1/3 (*.f64 x x))) x)
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (.f64 (.f64 x x) (.f64 -1/3 x)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))

Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (.f64 (.f64 x x) (.f64 -1/3 x)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
-1

Calls

12 calls:

44.0ms	y
21.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))
20.0ms	(*.f64 -2 x)
20.0ms	(*.f64 -2 x)
19.0ms	x

Results

Error	Segments	Branch
0b	3	`x`
21.6b	7	`y`
0b	3	`(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)`
0b	3	`(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)`
0b	3	`(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))`
0b	3	`(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))`
0b	3	`(+.f64 1 (exp.f64 (*.f64 -2 x)))`
0b	3	`(+.f64 1 (exp.f64 (*.f64 -2 x)))`
0b	3	`(exp.f64 (*.f64 -2 x))`
0b	3	`(exp.f64 (*.f64 -2 x))`
0b	3	`(*.f64 -2 x)`
0b	3	`(*.f64 -2 x)`

Compiler

Compiled 162 to 129 computations (20.4% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5030242603792253e-15	28235529056.829212
0.0ms	-1487212.7889230966	-0.0055096214238479725

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes140.0ms (3.8%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

12 calls:

45.0ms	y
18.0ms	x
18.0ms	(*.f64 -2 x)
16.0ms	(*.f64 -2 x)
8.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

Results

Error	Segments	Branch
0.0b	3	`x`
21.6b	7	`y`
0.0b	3	`(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)`
0.0b	3	`(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)`
0.0b	3	`(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))`
0.0b	3	`(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))`
0.0b	3	`(+.f64 1 (exp.f64 (*.f64 -2 x)))`
0.0b	3	`(+.f64 1 (exp.f64 (*.f64 -2 x)))`
0.0b	3	`(exp.f64 (*.f64 -2 x))`
0.0b	3	`(exp.f64 (*.f64 -2 x))`
0.0b	3	`(*.f64 -2 x)`
0.0b	3	`(*.f64 -2 x)`

Compiler

Compiled 134 to 110 computations (17.9% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5030242603792253e-15	28235529056.829212
0.0ms	-0.0055096214238479725	-4.598381259768757e-7

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes61.0ms (1.7%)

Accuracy

Total -48.7b remaining (-344%)

Threshold costs -48.7b (-344%)

Counts

8 → 2

Calls

Call 1

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

Outputs
x
-1

Calls

4 calls:

25.0ms	(*.f64 -2 x)
15.0ms	y
11.0ms	x
9.0ms	(*.f64 -2 x)

Results

Error	Segments	Branch
14.2b	2	`x`
30.3b	3	`y`
14.2b	2	`(*.f64 -2 x)`
14.2b	2	`(*.f64 -2 x)`

Compiler

Compiled 52 to 37 computations (28.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5030242603792253e-15	28235529056.829212

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify53.0ms (1.4%)

Algorithm

1×	egg-herbie

Stop Event

1×

fuel

Calls

Call 1

Inputs
(if (<=.f64 (.f64 -2 x) -1000000) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x)))) 1) (if (<=.f64 (.f64 -2 x) 2535301200456459/1267650600228229401496703205376) (+.f64 (.f64 (.f64 x x) (.f64 -1/3 x)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) -1))
(if (<=.f64 (.f64 -2 x) -5764607523034235/1152921504606846976) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x)))) 1) (if (<=.f64 (.f64 -2 x) 2535301200456459/1267650600228229401496703205376) (+.f64 (.f64 x (.f64 -1/3 (.f64 x x))) x) -1))
(if (<=.f64 (*.f64 -2 x) 2535301200456459/1267650600228229401496703205376) x -1)
x

Outputs
(if (<=.f64 (.f64 -2 x) -1000000) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x)))) 1) (if (<=.f64 (.f64 -2 x) 2535301200456459/1267650600228229401496703205376) (+.f64 (.f64 (.f64 x x) (.f64 -1/3 x)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) -1))
(if (<=.f64 (.f64 -2 x) -1000000) (+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x))))) (if (<=.f64 (.f64 -2 x) 2535301200456459/1267650600228229401496703205376) (+.f64 (.f64 (pow.f64 x 3) -1/3) (fma.f64 2/15 (pow.f64 x 5) x)) -1))
(if (<=.f64 (.f64 -2 x) -5764607523034235/1152921504606846976) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x)))) 1) (if (<=.f64 (.f64 -2 x) 2535301200456459/1267650600228229401496703205376) (+.f64 (.f64 x (.f64 -1/3 (.f64 x x))) x) -1))
(if (<=.f64 (.f64 -2 x) -5764607523034235/1152921504606846976) (+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (.f64 -2 x))))) (if (<=.f64 (.f64 -2 x) 2535301200456459/1267650600228229401496703205376) (+.f64 (.f64 (pow.f64 x 3) -1/3) x) -1))
(if (<=.f64 (*.f64 -2 x) 2535301200456459/1267650600228229401496703205376) x -1)
x

Compiler

Compiled 87 to 69 computations (20.7% saved)

soundness0.0ms (0%)

end49.0ms (1.3%)

Compiler: Compiled 81 to 62 computations (23.5% saved)

Details

analyze0.0ms (0%)

sample1.5s (40%)

preprocess96.0ms (2.6%)

simplify33.0ms (0.9%)

eval1.0ms (0%)

prune1.0ms (0%)

localize15.0ms (0.4%)

series5.0ms (0.1%)

rewrite65.0ms (1.8%)

simplify99.0ms (2.7%)

eval97.0ms (2.6%)

prune36.0ms (1%)

localize8.0ms (0.2%)

series2.0ms (0.1%)

rewrite51.0ms (1.4%)

simplify43.0ms (1.2%)

localize17.0ms (0.5%)

series3.0ms (0.1%)

rewrite40.0ms (1.1%)

simplify68.0ms (1.8%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite32.0ms (0.9%)

simplify86.0ms (2.3%)

localize11.0ms (0.3%)

series2.0ms (0.1%)

rewrite52.0ms (1.4%)

simplify163.0ms (4.4%)

eval151.0ms (4.1%)

prune58.0ms (1.6%)

localize9.0ms (0.2%)

series4.0ms (0.1%)

rewrite56.0ms (1.5%)

simplify147.0ms (4%)

localize18.0ms (0.5%)

series3.0ms (0.1%)

rewrite47.0ms (1.3%)

simplify129.0ms (3.5%)

eval69.0ms (1.9%)

prune32.0ms (0.9%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes161.0ms (4.3%)

bsearch0.0ms (0%)

regimes140.0ms (3.8%)

bsearch0.0ms (0%)

regimes61.0ms (1.7%)

bsearch0.0ms (0%)

simplify53.0ms (1.4%)

soundness0.0ms (0%)

end49.0ms (1.3%)

Profiling