Details

analyze10.0ms (0.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
75%	75%	25%	0%	0%	0%	0%	5
87.5%	87.5%	12.5%	0%	0%	0%	0%	6
93.8%	93.7%	6.2%	0%	0%	0%	0%	7
96.9%	96.8%	3.1%	0%	0%	0%	0%	8
98.4%	98.4%	1.6%	0%	0%	0%	0%	9
99.2%	99.2%	0.8%	0%	0%	0%	0%	10
99.6%	99.6%	0.4%	0%	0%	0%	0%	11
99.8%	99.8%	0.2%	0%	0%	0%	0%	12

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample1.2s (36.5%)

Results

1.1s

8256×

body

256

valid

Bogosity

preprocess18.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	15	16
2	16	16
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	15	16
2	16	16

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 9 computations (25% saved)

localize12.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 30 to 21 computations (30% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite89.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

489×	`fma-def_binary64`
464×	`log-prod_binary64`
365×	`pow-prod-down_binary64`
250×	`pow2_binary64`
249×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	193	30
2	3157	30

Stop Event

1×	node limit

Counts

3 → 164

Calls

Call 1

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

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

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

simplify61.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

467×	`unswap-sqr_binary64`
465×	`fma-neg_binary64`
402×	`associate-l_binary64`
388×	`sub-neg_binary64`
336×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	485
1	180	466
2	500	456
3	1518	450
4	5523	450

Stop Event

1×	node limit

Counts

200 → 204

Calls

Call 1

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

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

eval107.0ms (3.4%)

Compiler: Compiled 3450 to 2590 computations (24.9% saved)

prune52.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	200	4	204
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	200	5	205

Error

Counts

205 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
▶	31.7b	(+.f64 1 (/.f64 2 (*.f64 x x)))
▶	31.7b	(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
▶	31.7b	(+.f64 (/.f64 1 (-.f64 x 1)) x)
▶	0.0b	(/.f64 (+.f64 (/.f64 (+.f64 1 x) x) (+.f64 x -1)) (*.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) x)))

Compiler

Compiled 58 to 42 computations (27.6% saved)

localize14.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 2 (*.f64 x x))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series4.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/.f64 2 (*.f64 x x))
1.0ms	x	@	inf	(/.f64 2 (*.f64 x x))
0.0ms	x	@	-inf	(/.f64 2 (*.f64 x x))

rewrite60.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

491×	`pow1_binary64`
479×	`add-sqr-sqrt_binary64`
458×	`add-log-exp_binary64`
458×	`log1p-expm1-u_binary64`
458×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	108	7
2	1297	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(/.f64 2 (*.f64 x x))

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

Outputs

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

simplify177.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

1146×	`associate-/r*_binary64`
1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
553×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	84
1	10	84
2	19	84
3	34	84
4	74	84
5	222	84
6	831	84
7	2040	84
8	2206	84
9	2390	84
10	2598	84
11	2897	84
12	3290	84
13	3773	84
14	4339	84
15	5025	84
16	5864	84
17	6256	84
18	6542	84
19	6816	84
20	6888	84
21	6922	84

Stop Event

1×	node limit

Counts

33 → 23

Calls

Call 1

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

Outputs
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))

localize20.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite116.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

470×	`fma-def_binary64`
413×	`log-prod_binary64`
319×	`exp-prod_binary64`
314×	`pow-prod-down_binary64`
239×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	185	13
2	2927	13

Stop Event

1×	node limit

Counts

1 → 92

Calls

Call 1

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

Outputs

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

simplify77.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

446×	`sub-neg_binary64`
345×	`fma-def_binary64`
317×	`fma-neg_binary64`
276×	`distribute-neg-frac_binary64`
230×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	158
1	77	145
2	195	138
3	611	138
4	2727	136
5	6663	136

Stop Event

1×	node limit

Counts

104 → 107

Calls

Call 1

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

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

localize17.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite78.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`pow1_binary64`
710×	`add-log-exp_binary64`
709×	`log1p-expm1-u_binary64`
709×	`expm1-log1p-u_binary64`
696×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	138	10
2	1979	10

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify67.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

631×	`associate-/l/_binary64`
549×	`distribute-rgt-neg-in_binary64`
488×	`distribute-lft-neg-in_binary64`
478×	`fma-neg_binary64`
401×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	146
1	77	140
2	219	133
3	741	132
4	3062	132
5	5786	132

Stop Event

1×	node limit

Counts

45 → 47

Calls

Call 1

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

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

localize35.0ms (1.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 52 to 35 computations (32.7% saved)

series5.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

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

rewrite87.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`log-prod_binary64`
526×	`fma-def_binary64`
311×	`pow2_binary64`
304×	`log-div_binary64`
298×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	234	48
2	3848	38

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

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

Outputs

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

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

simplify61.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

706×	`times-frac_binary64`
645×	`fma-neg_binary64`
422×	`cancel-sign-sub-inv_binary64`
413×	`associate-/l/_binary64`
368×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	302
1	99	295
2	239	293
3	601	293
4	1943	293
5	6783	293

Stop Event

1×	node limit

Counts

175 → 159

Calls

Call 1

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

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

eval273.0ms (8.6%)

Compiler: Compiled 8568 to 6072 computations (29.1% saved)

prune118.0ms (3.7%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	478	4	482
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	478	9	487

Error

Counts

487 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.1b	(+.f64 -1 x)
	32.2b	-1
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓	31.7b	(+.f64 1 (/.f64 2 (*.f64 x x)))
✓	31.7b	(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
	61.7b	x
✓	31.7b	(+.f64 (/.f64 1 (-.f64 x 1)) x)
▶	61.8b	(neg.f64 x)
✓	0.0b	(/.f64 (+.f64 (/.f64 (+.f64 1 x) x) (+.f64 x -1)) (*.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) x)))

Compiler

Compiled 69 to 50 computations (27.5% saved)

localize4.0ms (0.1%)

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

localize6.0ms (0.2%)

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

eval0.0ms (0%)

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

prune7.0ms (0.2%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	6	6
Total	9	9

Error

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.1b	(+.f64 -1 x)
	32.2b	-1
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓	31.7b	(+.f64 1 (/.f64 2 (*.f64 x x)))
✓	31.7b	(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
	61.7b	x
✓	31.7b	(+.f64 (/.f64 1 (-.f64 x 1)) x)
✓	61.8b	(neg.f64 x)
✓	0.0b	(/.f64 (+.f64 (/.f64 (+.f64 1 x) x) (+.f64 x -1)) (*.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) x)))

Compiler

Compiled 69 to 50 computations (27.5% saved)

eval0.0ms (0%)

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

prune9.0ms (0.3%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	7	7
Total	9	9

Error

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.1b	(+.f64 -1 x)
	32.2b	-1
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓	31.7b	(+.f64 1 (/.f64 2 (*.f64 x x)))
✓	31.7b	(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
	61.7b	x
✓	31.7b	(+.f64 (/.f64 1 (-.f64 x 1)) x)
✓	61.8b	(neg.f64 x)
✓	0.0b	(/.f64 (+.f64 (/.f64 (+.f64 1 x) x) (+.f64 x -1)) (*.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) x)))

Compiler

Compiled 69 to 50 computations (27.5% saved)

regimes28.0ms (0.9%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	x
5.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
5.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Results

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

Compiler

Compiled 87 to 61 computations (29.9% saved)

regimes21.0ms (0.7%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	x
5.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Results

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

Compiler

Compiled 56 to 39 computations (30.4% saved)

regimes35.0ms (1.1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

31.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 33 to 22 computations (33.3% saved)

bsearch66.0ms (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	0.00037218625360065295	5105253695.514941
33.0ms	-112.44324702630625	-0.0035762531704590975

Compiler

Compiled 16 to 12 computations (25% saved)

regimes33.0ms (1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

30.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch63.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	0.00037218625360065295	5105253695.514941
32.0ms	-112.44324702630625	-0.0035762531704590975

Compiler

Compiled 16 to 12 computations (25% saved)

regimes28.0ms (0.9%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

25.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch38.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.00037218625360065295	5105253695.514941
19.0ms	-112.44324702630625	-0.0035762531704590975

Compiler

Compiled 16 to 12 computations (25% saved)

regimes7.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(+.f64 -1 x)

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
32.1b	1	`x`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes5.0ms (0.2%)

Accuracy

Total -30.7b remaining (-95.3%)

Threshold costs -30.7b (-95.3%)

Counts

3 → 1

Calls

Call 1

Inputs
-1
x
(neg.f64 x)

Outputs
-1

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
32.2b	1	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	169
1	47	169
2	50	169
3	52	169
4	53	169

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (/.f64 (+.f64 1 x) x) (+.f64 x -1)) (*.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) x)))
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(if (<=.f64 x -7912490084500023/70368744177664) (+.f64 1 (/.f64 2 (.f64 x x))) (if (<=.f64 x 6865624567924005/18446744073709551616) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) (+.f64 1 (/.f64 2 (.f64 x x)))))
(if (<=.f64 x -7912490084500023/70368744177664) (+.f64 1 (/.f64 2 (.f64 x x))) (if (<=.f64 x 6865624567924005/18446744073709551616) (+.f64 (/.f64 1 (-.f64 x 1)) x) (+.f64 1 (/.f64 2 (.f64 x x)))))
(if (<=.f64 x -7912490084500023/70368744177664) (+.f64 1 (/.f64 2 (.f64 x x))) (if (<=.f64 x 6865624567924005/18446744073709551616) -1 (+.f64 1 (/.f64 2 (.f64 x x)))))
(+.f64 -1 x)
-1

Outputs
(/.f64 (+.f64 (/.f64 (+.f64 1 x) x) (+.f64 x -1)) (*.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) x)))
(/.f64 (+.f64 (/.f64 (+.f64 1 x) x) (+.f64 x -1)) (*.f64 (/.f64 (+.f64 1 x) x) (+.f64 x -1)))
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
(if (<=.f64 x -7912490084500023/70368744177664) (+.f64 1 (/.f64 2 (.f64 x x))) (if (<=.f64 x 6865624567924005/18446744073709551616) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) (+.f64 1 (/.f64 2 (.f64 x x)))))
(if (<=.f64 x -7912490084500023/70368744177664) (+.f64 1 (/.f64 2 (.f64 x x))) (if (<=.f64 x 6865624567924005/18446744073709551616) (+.f64 (/.f64 x (+.f64 1 x)) (-.f64 -1 x)) (+.f64 1 (/.f64 2 (.f64 x x)))))
(if (<=.f64 x -7912490084500023/70368744177664) (+.f64 1 (/.f64 2 (.f64 x x))) (if (<=.f64 x 6865624567924005/18446744073709551616) (+.f64 (/.f64 1 (-.f64 x 1)) x) (+.f64 1 (/.f64 2 (.f64 x x)))))
(if (<=.f64 x -7912490084500023/70368744177664) (+.f64 1 (/.f64 2 (.f64 x x))) (if (<=.f64 x 6865624567924005/18446744073709551616) (+.f64 x (/.f64 1 (+.f64 x -1))) (+.f64 1 (/.f64 2 (.f64 x x)))))
(if (<=.f64 x -7912490084500023/70368744177664) (+.f64 1 (/.f64 2 (.f64 x x))) (if (<=.f64 x 6865624567924005/18446744073709551616) -1 (+.f64 1 (/.f64 2 (.f64 x x)))))
(+.f64 -1 x)
(+.f64 x -1)
-1

Compiler

Compiled 124 to 88 computations (29% saved)

soundness0.0ms (0%)

end71.0ms (2.2%)

Compiler: Compiled 118 to 80 computations (32.2% saved)

Details

analyze10.0ms (0.3%)

sample1.2s (36.5%)

preprocess18.0ms (0.6%)

simplify8.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.4%)

series5.0ms (0.1%)

rewrite89.0ms (2.8%)

simplify61.0ms (1.9%)

eval107.0ms (3.4%)

prune52.0ms (1.6%)

localize14.0ms (0.4%)

series4.0ms (0.1%)

rewrite60.0ms (1.9%)

simplify177.0ms (5.6%)

localize20.0ms (0.6%)

series2.0ms (0.1%)

rewrite116.0ms (3.7%)

simplify77.0ms (2.4%)

localize17.0ms (0.5%)

series2.0ms (0.1%)

rewrite78.0ms (2.5%)

simplify67.0ms (2.1%)

localize35.0ms (1.1%)

series5.0ms (0.2%)

rewrite87.0ms (2.8%)

simplify61.0ms (1.9%)

eval273.0ms (8.6%)

prune118.0ms (3.7%)

localize4.0ms (0.1%)

localize6.0ms (0.2%)

eval0.0ms (0%)

prune7.0ms (0.2%)

eval0.0ms (0%)

prune9.0ms (0.3%)

regimes28.0ms (0.9%)

regimes21.0ms (0.7%)

regimes35.0ms (1.1%)

bsearch66.0ms (2.1%)

regimes33.0ms (1%)

bsearch63.0ms (2%)

regimes28.0ms (0.9%)

bsearch38.0ms (1.2%)

regimes7.0ms (0.2%)

regimes5.0ms (0.2%)

simplify12.0ms (0.4%)

soundness0.0ms (0%)

end71.0ms (2.2%)

Profiling