Details

analyze3.0ms (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
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
80%	75%	18.7%	0%	6.2%	0%	0%	5
88.9%	75%	9.4%	0%	15.6%	0%	0%	6
94.1%	75%	4.7%	0%	20.3%	0%	0%	7
97%	75%	2.3%	0%	22.6%	0%	0%	8
98.5%	75%	1.2%	0%	23.8%	0%	0%	9
99.2%	75%	0.6%	0%	24.4%	0%	0%	10
99.6%	75%	0.3%	0%	24.7%	0%	0%	11
99.8%	75%	0.1%	0%	24.8%	0%	0%	12

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample760.0ms (65.2%)

Results

749.0ms	8256×	body	256	valid
1.0ms	9×	body	256	infinite

Bogosity

preprocess15.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

1×	`associate-/r*_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify6.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1×	`associate-/r*_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f64 1 (*.f64 x x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 1 (*.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series3.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 76 to 64 computations (15.8% saved)

rewrite51.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

405×	`pow1_binary64`
391×	`add-sqr-sqrt_binary64`
382×	`*-un-lft-identity_binary64`
377×	`add-log-exp_binary64`
376×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	100	4
2	1163	4

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (.f64 (cbrt.f64 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (neg.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (.f64 (sqrt.f64 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) -2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) -2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (sqrt.f64 x)) -1) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (cbrt.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 x -2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 x -2) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (pow.f64 (.f64 x x) -2) (/.f64 1 x)) 1/3) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (pow.f64 (.f64 x x) -2) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) 2) 3) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 -2 (log.f64 x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (*.f64 (cbrt.f64 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (*.f64 (sqrt.f64 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) -2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (sqrt.f64 x)) -1) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (cbrt.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 x -2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 x -2) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x x) -2) (/.f64 1 x)) 1/3) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x x) -2) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) 2) 3) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 x)))))))

simplify41.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

602×	`unswap-sqr_binary64`
458×	`associate-/l/_binary64`
260×	`times-frac_binary64`
259×	`associate-+l+_binary64`
258×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	341
1	262	317
2	789	306
3	4098	282

Stop Event

1×	node limit

Counts

50 → 57

Calls

Call 1

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

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

eval16.0ms (1.4%)

Compiler: Compiled 560 to 410 computations (26.8% saved)

prune7.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Error

Counts

58 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(pow.f64 x -2)
✓	0.5b	(/.f64 1 (*.f64 x x))
▶	0.3b	(*.f64 (/.f64 1 x) (/.f64 1 x))

Compiler

Compiled 18 to 13 computations (27.8% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

series5.0ms (0.5%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(*.f64 (/.f64 1 x) (/.f64 1 x))
1.0ms	x	@	-inf	(*.f64 (/.f64 1 x) (/.f64 1 x))
1.0ms	x	@	0	(*.f64 (/.f64 1 x) (/.f64 1 x))

Compiler

Compiled 76 to 64 computations (15.8% saved)

rewrite39.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

416×	`pow1_binary64`
402×	`add-sqr-sqrt_binary64`
393×	`*-un-lft-identity_binary64`
388×	`add-log-exp_binary64`
387×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	4
2	1211	4

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (neg.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (/.f64 x (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 x) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (/.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 -2 (log.f64 x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (neg.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (/.f64 x (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 x)))))))

simplify48.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

563×	`unswap-sqr_binary64`
539×	`associate-l_binary64`
482×	`associate-r_binary64`
301×	`fma-neg_binary64`
298×	`fabs-mul_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	85	231
1	187	216
2	546	216
3	5460	216

Stop Event

1×	node limit

Counts

47 → 41

Calls

Call 1

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

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

localize3.0ms (0.2%)

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

eval7.0ms (0.6%)

Compiler: Compiled 291 to 207 computations (28.9% saved)

prune7.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	41	3	44

Error

Counts

44 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(pow.f64 x -2)
▶	0.2b	(/.f64 (/.f64 1 x) x)
✓	0.5b	(/.f64 1 (*.f64 x x))

Compiler

Compiled 16 to 11 computations (31.3% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 76 to 64 computations (15.8% saved)

rewrite37.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

442×	`pow1_binary64`
424×	`add-sqr-sqrt_binary64`
416×	`*-un-lft-identity_binary64`
411×	`add-log-exp_binary64`
411×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	103	4
2	1247	4

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify39.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

920×	`log-prod_binary64`
489×	`unswap-sqr_binary64`
488×	`associate-l_binary64`
431×	`associate-r_binary64`
384×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	75	268
1	198	250
2	637	250
3	4697	250

Stop Event

1×	node limit

Counts

43 → 41

Calls

Call 1

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

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

eval8.0ms (0.7%)

Compiler: Compiled 362 to 246 computations (32% saved)

prune7.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	41	3	44

Error

Counts

44 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(pow.f64 x -2)
✓	0.2b	(/.f64 (/.f64 1 x) x)
✓	0.5b	(/.f64 1 (*.f64 x x))

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes12.0ms (1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(pow.f64 x -2)

Calls

3 calls:

5.0ms	x
3.0ms	(*.f64 x x)
3.0ms	(/.f64 1 (*.f64 x x))

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`(/.f64 1 (*.f64 x x))`
0b	1	`(*.f64 x x)`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes10.0ms (0.9%)

Accuracy

Total -0.5b remaining (-336.2%)

Threshold costs -0.5b (-336.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
3.0ms	(*.f64 x x)
3.0ms	(/.f64 1 (*.f64 x x))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(/.f64 1 (*.f64 x x))`
0.2b	1	`(*.f64 x x)`

Compiler

Compiled 30 to 19 computations (36.7% saved)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	11	18

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

soundness0.0ms (0%)

end21.0ms (1.8%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

Details

analyze3.0ms (0.3%)

sample760.0ms (65.2%)

preprocess15.0ms (1.3%)

simplify6.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize4.0ms (0.3%)

series3.0ms (0.2%)

rewrite51.0ms (4.4%)

simplify41.0ms (3.5%)

eval16.0ms (1.4%)

prune7.0ms (0.6%)

localize5.0ms (0.4%)

series5.0ms (0.5%)

rewrite39.0ms (3.3%)

simplify48.0ms (4.1%)

localize3.0ms (0.2%)

eval7.0ms (0.6%)

prune7.0ms (0.6%)

localize5.0ms (0.4%)

series2.0ms (0.2%)

rewrite37.0ms (3.1%)

simplify39.0ms (3.3%)

eval8.0ms (0.7%)

prune7.0ms (0.6%)

regimes12.0ms (1%)

regimes10.0ms (0.9%)

simplify4.0ms (0.3%)

soundness0.0ms (0%)

end21.0ms (1.8%)

Profiling