Details

Time bar (total: 2.1s)

analyze3.0ms (0.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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)

sample921.0ms (43.5%)

Results
911.0ms8256×body256valid
1.0ms10×body256infinite
Bogosity

preprocess4.0ms (0.2%)

Algorithm
egg-herbie
Rules
1-exp
associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
11113
011
Stop Event
saturated
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)

simplify13.0ms (0.6%)

Algorithm
egg-herbie
Rules
1-exp
associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
11113
Stop Event
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%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.6b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.6b
(/.f64 1 (*.f64 x x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.6b
(/.f64 1 (*.f64 x x))
Compiler

Compiled 11 to 5 computations (54.5% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 1 (*.f64 x x))
1.0ms
x
@0
(/.f64 1 (*.f64 x x))
0.0ms
x
@inf
(/.f64 1 (*.f64 x x))

rewrite53.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
1024×add-sqr-sqrt
1006×*-un-lft-identity
950×pow1
938×add-cube-cbrt
930×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0613
11207
214227
Stop Event
node limit
Counts
1 → 20
Calls
Call 1
Inputs
(/.f64 1 (*.f64 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 (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 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1))))) (#(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 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(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 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (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 exp.f64 (log.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))))

simplify42.0ms (2%)

Algorithm
egg-herbie
Rules
1720×associate-/l*
892×associate-*r*
778×associate-+r+
700×distribute-rgt-in
696×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053446
1123266
2466254
32690254
Stop Event
node limit
Counts
32 → 26
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(-.f64 (+.f64 1 (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 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1))
(pow.f64 x -2)
(pow.f64 (*.f64 x x) -1)
(pow.f64 (pow.f64 x -2) 1)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(pow.f64 (/.f64 1 x) 2)
(sqrt.f64 (/.f64 1 (pow.f64 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)))
(exp.f64 (log.f64 (pow.f64 x -2)))
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
Outputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(-.f64 (+.f64 1 (pow.f64 x -2)) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 1 (pow.f64 x -2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (/.f64 1 x) (/.f64 1 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 x))))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 1 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 x -2)
(/.f64 1 (*.f64 x x))
(pow.f64 (*.f64 x x) -1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (/.f64 1 x) 2)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(sqrt.f64 (/.f64 1 (pow.f64 x 4)))
(sqrt.f64 (pow.f64 x -4))
(log.f64 (exp.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(exp.f64 (log.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)

eval5.0ms (0.2%)

Compiler

Compiled 180 to 140 computations (22.2% saved)

prune4.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New23326
Fresh000
Picked011
Done000
Total23427
Error
0b
Counts
27 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(pow.f64 x -2)
18.8b
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
0.6b
(/.f64 1 (*.f64 x x))
0.3b
(*.f64 (/.f64 1 x) (/.f64 1 x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (/.f64 1 x) (/.f64 1 x))
Compiler

Compiled 13 to 9 computations (30.8% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 (/.f64 1 x) (/.f64 1 x))
0.0ms
x
@inf
(*.f64 (/.f64 1 x) (/.f64 1 x))
0.0ms
x
@-inf
(*.f64 (/.f64 1 x) (/.f64 1 x))

rewrite75.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
1046×add-sqr-sqrt
1028×*-un-lft-identity
972×pow1
960×add-cube-cbrt
950×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0613
11227
214487
Stop Event
node limit
Counts
1 → 29
Calls
Call 1
Inputs
(*.f64 (/.f64 1 x) (/.f64 1 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 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) 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 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (/.f64 1 (cbrt.f64 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 -1 (neg.f64 (*.f64 x 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 -1 (/.f64 1 x)) (neg.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) (sqrt.f64 x)) (sqrt.f64 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 (neg.f64 (/.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 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(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 (*.f64 x 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 exp.f64 (log.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))))

simplify52.0ms (2.5%)

Algorithm
egg-herbie
Rules
1290×distribute-rgt-in
1246×distribute-lft-in
956×associate-*r*
854×associate-*l*
694×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073553
1163307
2632307
34218307
Stop Event
node limit
Counts
41 → 32
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(-.f64 (+.f64 1 (pow.f64 x -2)) 1)
(/.f64 1 (*.f64 x x))
(/.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 1 (/.f64 x (/.f64 1 x)))
(/.f64 1 (/.f64 (*.f64 x x) 1))
(/.f64 (/.f64 1 x) x)
(/.f64 (pow.f64 x -1/2) (/.f64 x (pow.f64 x -1/2)))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (/.f64 1 (cbrt.f64 x))))
(/.f64 -1 (*.f64 x (neg.f64 x)))
(/.f64 -1 (*.f64 (neg.f64 x) x))
(/.f64 -1 (neg.f64 (*.f64 x x)))
(/.f64 (*.f64 (/.f64 1 x) -1) (neg.f64 x))
(/.f64 (*.f64 -1 (/.f64 1 x)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 1 x) 1) x)
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (neg.f64 (/.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 (cbrt.f64 (pow.f64 x -2)) 3)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(pow.f64 (*.f64 x 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)))
(exp.f64 (log.f64 (pow.f64 x -2)))
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
Outputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(-.f64 (+.f64 1 (pow.f64 x -2)) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (/.f64 x (/.f64 1 x)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (/.f64 (*.f64 x x) 1))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 (pow.f64 x -1/2) (/.f64 x (pow.f64 x -1/2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 x 1) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x)))
(/.f64 -1 (*.f64 x (neg.f64 x)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 -1 (*.f64 (neg.f64 x) x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 -1 (neg.f64 (*.f64 x x)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 (*.f64 (/.f64 1 x) -1) (neg.f64 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 (*.f64 -1 (/.f64 1 x)) (neg.f64 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 (/.f64 (/.f64 1 x) 1) x)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 (neg.f64 (/.f64 1 x)) (neg.f64 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 x -2)
(/.f64 1 (*.f64 x x))
(pow.f64 (/.f64 1 x) 2)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (*.f64 x x) -1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(sqrt.f64 (pow.f64 (/.f64 1 x) 4))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log.f64 (exp.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(exp.f64 (log.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)

localize16.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(pow.f64 (cbrt.f64 x) 2)
0.6b
(cbrt.f64 x)
1.1b
(/.f64 1 (cbrt.f64 (pow.f64 x 4)))
28.2b
(cbrt.f64 (pow.f64 x 4))
Compiler

Compiled 35 to 25 computations (28.6% saved)

series5.0ms (0.2%)

Counts
4 → 0
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(pow.f64 (cbrt.f64 x) 2)
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 x) 2)
1.0ms
x
@-inf
(cbrt.f64 x)
0.0ms
x
@0
(cbrt.f64 (pow.f64 x 4))
0.0ms
x
@0
(pow.f64 (cbrt.f64 x) 2)

rewrite70.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
1748×add-sqr-sqrt
1716×*-un-lft-identity
1608×add-cube-cbrt
1590×add-cbrt-cube
204×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01244
123644
2253544
Stop Event
node limit
Counts
4 → 98
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 x 4))
(/.f64 1 (cbrt.f64 (pow.f64 x 4)))
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (cbrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x 8)) 1/3) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8))) (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (cbrt.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 4) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (cbrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 1 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8)))) (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (*.f64 x (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) -1) (pow.f64 (cbrt.f64 (*.f64 x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8))) -1) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 4) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 x (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 x (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (cbrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x (cbrt.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8)))) (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x x))))))))

simplify71.0ms (3.4%)

Algorithm
egg-herbie
Rules
1270×associate-+r+
1032×associate-/r*
956×unswap-sqr
802×associate-*r/
592×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01791668
13601640
214631632
378161632
Stop Event
node limit
Counts
98 → 115
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cbrt.f64 x)))) 1)
(*.f64 x (cbrt.f64 x))
(*.f64 (*.f64 x (cbrt.f64 x)) 1)
(*.f64 1 (*.f64 x (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) x)
(*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x x)))
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 x 8))))
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 x x))))
(*.f64 (pow.f64 1 1/3) (*.f64 x (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 8)) 1/3) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(/.f64 (*.f64 x (cbrt.f64 x)) 1)
(/.f64 1 (/.f64 1 (*.f64 x (cbrt.f64 x))))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 (cbrt.f64 (*.f64 x x))))
(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8))) (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))))
(/.f64 (neg.f64 (*.f64 x (cbrt.f64 x))) -1)
(pow.f64 x 4/3)
(pow.f64 (pow.f64 x 4) 1/3)
(pow.f64 (*.f64 x (cbrt.f64 x)) 1)
(pow.f64 (cbrt.f64 x) 4)
(pow.f64 (cbrt.f64 (*.f64 x x)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 x 8)))
(log.f64 (exp.f64 (*.f64 x (cbrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cbrt.f64 x)))))
(expm1.f64 (log1p.f64 (*.f64 x (cbrt.f64 x))))
(exp.f64 (log.f64 (*.f64 x (cbrt.f64 x))))
(exp.f64 (*.f64 (*.f64 4 (log.f64 x)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (cbrt.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))))) 1)
(*.f64 1 (/.f64 1 (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 1 (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8)))))
(*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8)))) (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))))
(*.f64 -1 (/.f64 1 (neg.f64 (*.f64 x (cbrt.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) -1) (pow.f64 (cbrt.f64 (*.f64 x x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8))) -1) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) -1))
(pow.f64 (pow.f64 x 4) -1/3)
(pow.f64 (*.f64 x (cbrt.f64 x)) -1)
(pow.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 3) 1/3)
(sqrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8))))
(log.f64 (exp.f64 (/.f64 1 (*.f64 x (cbrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x (cbrt.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x (cbrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (cbrt.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x (cbrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(*.f64 1 (cbrt.f64 x))
(*.f64 (cbrt.f64 x) 1)
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(pow.f64 x 1/3)
(pow.f64 (cbrt.f64 x) 1)
(pow.f64 (cbrt.f64 (*.f64 x x)) 1/2)
(pow.f64 (pow.f64 x 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(sqrt.f64 (cbrt.f64 (*.f64 x x)))
(fabs.f64 (cbrt.f64 x))
(log.f64 (exp.f64 (cbrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x x)))) 1)
(*.f64 1 (cbrt.f64 (*.f64 x x)))
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(*.f64 (cbrt.f64 (*.f64 x x)) 1)
(*.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 x x))))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8)))) (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 x)))
(sqrt.f64 (*.f64 x (cbrt.f64 x)))
(fabs.f64 (cbrt.f64 (*.f64 x x)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x x)))))
(cbrt.f64 (*.f64 x x))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x x))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x x))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cbrt.f64 x)))) 1)
(*.f64 x (cbrt.f64 x))
(*.f64 x (cbrt.f64 x))
(*.f64 (*.f64 x (cbrt.f64 x)) 1)
(*.f64 x (cbrt.f64 x))
(*.f64 1 (*.f64 x (cbrt.f64 x)))
(*.f64 x (cbrt.f64 x))
(*.f64 (cbrt.f64 x) x)
(*.f64 x (cbrt.f64 x))
(*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x x)))
(pow.f64 (cbrt.f64 (*.f64 x x)) 2)
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 x 8))))
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (cbrt.f64 (*.f64 x x)))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 x x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 x 8))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (cbrt.f64 (*.f64 x x)))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 x x)))))
(*.f64 (pow.f64 1 1/3) (*.f64 x (cbrt.f64 x)))
(*.f64 x (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 8)) 1/3) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 x 8))))
(/.f64 (*.f64 x (cbrt.f64 x)) 1)
(*.f64 x (cbrt.f64 x))
(/.f64 1 (/.f64 1 (*.f64 x (cbrt.f64 x))))
(*.f64 x (cbrt.f64 x))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 (cbrt.f64 (*.f64 x x))))
(pow.f64 (cbrt.f64 (*.f64 x x)) 2)
(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8))) (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 x 8))))
(/.f64 (neg.f64 (*.f64 x (cbrt.f64 x))) -1)
(*.f64 x (cbrt.f64 x))
(pow.f64 x 4/3)
(*.f64 x (cbrt.f64 x))
(pow.f64 (pow.f64 x 4) 1/3)
(*.f64 x (cbrt.f64 x))
(pow.f64 (*.f64 x (cbrt.f64 x)) 1)
(*.f64 x (cbrt.f64 x))
(pow.f64 (cbrt.f64 x) 4)
(*.f64 x (cbrt.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x x)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 3)
(*.f64 x (cbrt.f64 x))
(sqrt.f64 (cbrt.f64 (pow.f64 x 8)))
(log.f64 (exp.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 x (cbrt.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cbrt.f64 x)))))
(*.f64 x (cbrt.f64 x))
(expm1.f64 (log1p.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 x (cbrt.f64 x))
(exp.f64 (log.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 x (cbrt.f64 x))
(exp.f64 (*.f64 (*.f64 4 (log.f64 x)) 1/3))
(*.f64 x (cbrt.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 x))) 1))
(*.f64 x (cbrt.f64 x))
(log1p.f64 (expm1.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 x (cbrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))))) 1)
(/.f64 (/.f64 1 x) (cbrt.f64 x))
(/.f64 1 (*.f64 x (cbrt.f64 x)))
(*.f64 1 (/.f64 1 (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 1 x) (cbrt.f64 x))
(/.f64 1 (*.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 1)
(/.f64 (/.f64 1 x) (cbrt.f64 x))
(/.f64 1 (*.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 1 (cbrt.f64 (*.f64 x x))))
(pow.f64 (cbrt.f64 (*.f64 x x)) -2)
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8)))))
(/.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8)))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8)))) (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8)))))
(/.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8)))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 -1 (/.f64 1 (neg.f64 (*.f64 x (cbrt.f64 x)))))
(/.f64 (/.f64 1 x) (cbrt.f64 x))
(/.f64 1 (*.f64 x (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) -1) (pow.f64 (cbrt.f64 (*.f64 x x)) -1))
(pow.f64 (cbrt.f64 (*.f64 x x)) -2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8))) -1) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 x 8)))))
(/.f64 1 (*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 x 8)))))
(pow.f64 (pow.f64 x 4) -1/3)
(*.f64 (pow.f64 (pow.f64 x 4) -1/6) (pow.f64 (pow.f64 x 4) -1/6))
(pow.f64 (*.f64 x (cbrt.f64 x)) -1)
(/.f64 (/.f64 1 x) (cbrt.f64 x))
(/.f64 1 (*.f64 x (cbrt.f64 x)))
(pow.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 1)
(/.f64 (/.f64 1 x) (cbrt.f64 x))
(/.f64 1 (*.f64 x (cbrt.f64 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) 2)
(pow.f64 (cbrt.f64 (*.f64 x x)) -2)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) 3)
(/.f64 (/.f64 1 x) (cbrt.f64 x))
(/.f64 1 (*.f64 x (cbrt.f64 x)))
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 3) 1/3)
(/.f64 (/.f64 1 x) (cbrt.f64 x))
(/.f64 1 (*.f64 x (cbrt.f64 x)))
(sqrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 8))))
(log.f64 (exp.f64 (/.f64 1 (*.f64 x (cbrt.f64 x)))))
(/.f64 (/.f64 1 x) (cbrt.f64 x))
(/.f64 1 (*.f64 x (cbrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))))))
(/.f64 (/.f64 1 x) (cbrt.f64 x))
(/.f64 1 (*.f64 x (cbrt.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 3))
(/.f64 (/.f64 1 x) (cbrt.f64 x))
(/.f64 1 (*.f64 x (cbrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x (cbrt.f64 x)))))
(/.f64 (/.f64 1 x) (cbrt.f64 x))
(/.f64 1 (*.f64 x (cbrt.f64 x)))
(exp.f64 (neg.f64 (log.f64 (*.f64 x (cbrt.f64 x)))))
(/.f64 (/.f64 1 x) (cbrt.f64 x))
(/.f64 1 (*.f64 x (cbrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 x))) -1))
(/.f64 (/.f64 1 x) (cbrt.f64 x))
(/.f64 1 (*.f64 x (cbrt.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (cbrt.f64 x)))) 1))
(/.f64 (/.f64 1 x) (cbrt.f64 x))
(/.f64 1 (*.f64 x (cbrt.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x (cbrt.f64 x)))))
(/.f64 (/.f64 1 x) (cbrt.f64 x))
(/.f64 1 (*.f64 x (cbrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(cbrt.f64 x)
(*.f64 1 (cbrt.f64 x))
(cbrt.f64 x)
(*.f64 (cbrt.f64 x) 1)
(cbrt.f64 x)
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(cbrt.f64 x)
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(cbrt.f64 x)
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 x 1/3)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 1)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 (*.f64 x x)) 1/2)
(sqrt.f64 (cbrt.f64 (*.f64 x x)))
(pow.f64 (pow.f64 x 1/6) 2)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(cbrt.f64 x)
(sqrt.f64 (cbrt.f64 (*.f64 x x)))
(fabs.f64 (cbrt.f64 x))
(cbrt.f64 x)
(log.f64 (exp.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(cbrt.f64 x)
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (log.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) 1/3))
(cbrt.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))
(cbrt.f64 x)
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(cbrt.f64 x)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x x)))) 1)
(cbrt.f64 (*.f64 x x))
(*.f64 1 (cbrt.f64 (*.f64 x x)))
(cbrt.f64 (*.f64 x x))
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (cbrt.f64 (*.f64 x x)) 1)
(cbrt.f64 (*.f64 x x))
(*.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6))
(*.f64 (pow.f64 x 1/6) (sqrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4))
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 x x))))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8)))) (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8)))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (pow.f64 x 8)) 1/6))
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4))
(sqrt.f64 (*.f64 x (cbrt.f64 x)))
(fabs.f64 (cbrt.f64 (*.f64 x x)))
(cbrt.f64 (*.f64 x x))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x x))))
(cbrt.f64 (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x x)))))
(cbrt.f64 (*.f64 x x))
(cbrt.f64 (*.f64 x x))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x x))))
(cbrt.f64 (*.f64 x x))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x x))))
(cbrt.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x x))) 1))
(cbrt.f64 (*.f64 x x))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x x))))
(cbrt.f64 (*.f64 x x))

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 x -2)
Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(pow.f64 x -2)
0.0ms
x
@inf
(pow.f64 x -2)
0.0ms
x
@0
(pow.f64 x -2)

rewrite47.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
928×add-sqr-sqrt
904×*-un-lft-identity
860×pow1
850×add-cube-cbrt
842×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11067
211927
Stop Event
node limit
Counts
1 → 15
Calls
Call 1
Inputs
(pow.f64 x -2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x -2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.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 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (cbrt.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 sqrt.f64 (pow.f64 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 exp.f64 (*.f64 -2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))))

simplify52.0ms (2.5%)

Algorithm
egg-herbie
Rules
1030×associate-*r*
828×associate-*l*
654×distribute-lft-out
380×distribute-rgt-out
368×unswap-sqr
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
044419
185281
2186281
3648281
44253249
Stop Event
node limit
Counts
27 → 19
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(-.f64 (+.f64 (pow.f64 x -2) 1) 1)
(*.f64 (pow.f64 x -2) 1)
(*.f64 1 (pow.f64 x -2))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)))
(*.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2))
(*.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))
(sqrt.f64 (pow.f64 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)))
(exp.f64 (*.f64 -2 (log.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
Outputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(-.f64 (+.f64 (pow.f64 x -2) 1) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 1 (pow.f64 x -2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (/.f64 1 x) (/.f64 1 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)))
(*.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)))
(*.f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -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 (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)
(sqrt.f64 (pow.f64 x -4))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log.f64 (exp.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(exp.f64 (*.f64 -2 (log.f64 x)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)

eval43.0ms (2%)

Compiler

Compiled 2050 to 1223 computations (40.3% saved)

prune20.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1642166
Fresh000
Picked011
Done213
Total1664170
Error
0b
Counts
170 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(pow.f64 x -2)
34.9b
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 x))
0.2b
(/.f64 (/.f64 1 x) x)
0.6b
(/.f64 1 (*.f64 x x))
Compiler

Compiled 26 to 17 computations (34.6% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (/.f64 1 x) x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (/.f64 1 x) x)
0.0ms
x
@-inf
(/.f64 (/.f64 1 x) x)
0.0ms
x
@inf
(/.f64 (/.f64 1 x) x)

rewrite51.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
1096×add-sqr-sqrt
1080×*-un-lft-identity
1018×pow1
1008×add-cube-cbrt
998×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0613
11237
215057
Stop Event
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 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 1 x)))))) (#(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 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))))) (#(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 (cbrt.f64 x)) (/.f64 1 x)))))) (#(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 (/.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 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 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 (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)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) 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 (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 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 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(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 (*.f64 x x) -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 (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 exp.f64 (log.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))))

simplify51.0ms (2.4%)

Algorithm
egg-herbie
Rules
1116×associate-*r*
910×associate-*l*
872×distribute-rgt-in
856×associate-+r+
840×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078757
1207469
2724469
34724469
Stop Event
node limit
Counts
43 → 41
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(-.f64 (+.f64 1 (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 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 1 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))
(*.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 (cbrt.f64 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 x) (cbrt.f64 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 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) x))
(*.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)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) x))
(*.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)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x -2)))
(pow.f64 x -2)
(pow.f64 (/.f64 1 x) 2)
(pow.f64 (pow.f64 x -2) 1)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(pow.f64 (*.f64 x x) -1)
(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)))
(exp.f64 (log.f64 (pow.f64 x -2)))
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
Outputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(-.f64 (+.f64 1 (pow.f64 x -2)) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 1 (pow.f64 x -2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (/.f64 1 x) (/.f64 1 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 1 x)))
(/.f64 1 (*.f64 x x))
(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 (/.f64 (pow.f64 x -1/2) x) (sqrt.f64 x))
(/.f64 (pow.f64 x -1/2) (*.f64 x (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.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 (/.f64 1 x)) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (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 (*.f64 1 (/.f64 1 x)) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 -1 x) (/.f64 -1 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (*.f64 (/.f64 1 x) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.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 (/.f64 1 x)) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) x))
(/.f64 1 (*.f64 x x))
(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 1 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(*.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 (/.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)) (sqrt.f64 x)) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (*.f64 1 (/.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)) (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))
(pow.f64 x -2)
(/.f64 1 (*.f64 x x))
(pow.f64 (/.f64 1 x) 2)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (*.f64 x x) -1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(neg.f64 (/.f64 (/.f64 1 x) (neg.f64 x)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(sqrt.f64 (pow.f64 (pow.f64 x -2) 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log.f64 (exp.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(exp.f64 (log.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 x))
0.1b
(/.f64 (/.f64 1 x) (sqrt.f64 x))
Compiler

Compiled 23 to 12 computations (47.8% saved)

series7.0ms (0.3%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 x))
1.0ms
x
@0
(/.f64 (/.f64 1 x) (sqrt.f64 x))
1.0ms
x
@-inf
(/.f64 (/.f64 1 x) (sqrt.f64 x))
0.0ms
x
@inf
(/.f64 (/.f64 1 x) (sqrt.f64 x))
0.0ms
x
@0
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 x))

rewrite59.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
1698×add-sqr-sqrt
1676×*-un-lft-identity
1568×add-cube-cbrt
1546×add-cbrt-cube
180×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0930
118814
2260714
Stop Event
node limit
Counts
2 → 69
Calls
Call 1
Inputs
(/.f64 (/.f64 1 x) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x -3/2)) (sqrt.f64 (pow.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (/.f64 1 x) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 x -3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -3/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x -3/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -3/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x -3/2)) (*.f64 (sqrt.f64 (pow.f64 x -3/2)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 x -3/2) (cbrt.f64 (sqrt.f64 x))))))) (#(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 (cbrt.f64 (/.f64 1 x)) (/.f64 1 x)))))) (#(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 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -3/2)) (/.f64 1 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (pow.f64 x 1/4)) (sqrt.f64 (pow.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (pow.f64 x -3/2) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) 1) (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 x -3/2)) 1) (/.f64 (sqrt.f64 (pow.f64 x -3/2)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 x -3/2)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (pow.f64 x -3/2)) (cbrt.f64 (sqrt.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 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(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 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 x -3/2) (neg.f64 (sqrt.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 log.f64 (+.f64 1 (expm1.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 exp.f64 (log.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))))

simplify63.0ms (3%)

Algorithm
egg-herbie
Rules
1376×associate-/l*
1116×associate-+r+
938×unswap-sqr
922×associate-+l+
670×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01521527
13761175
215331129
366631129
Stop Event
node limit
Counts
81 → 103
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))
(/.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))
(/.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))
(/.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -3/2))) 1)
(*.f64 1 (pow.f64 x -3/2))
(*.f64 (/.f64 1 x) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -3/2) 1)
(*.f64 (sqrt.f64 (pow.f64 x -3/2)) (sqrt.f64 (pow.f64 x -3/2)))
(*.f64 (pow.f64 x -1/2) (/.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 x -1/2)))
(*.f64 (/.f64 -1 x) (/.f64 1 (neg.f64 (sqrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (/.f64 1 x) (pow.f64 x 1/4)))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 1 x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 x 1/4)))
(pow.f64 x -3/2)
(pow.f64 (pow.f64 x -3/2) 1)
(pow.f64 (sqrt.f64 (pow.f64 x -3/2)) 2)
(pow.f64 (pow.f64 x -1/2) 3)
(pow.f64 (pow.f64 (pow.f64 x -3/2) 3) 1/3)
(pow.f64 (pow.f64 x 3/2) -1)
(neg.f64 (/.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 x))))
(sqrt.f64 (/.f64 1 (pow.f64 x 3)))
(log.f64 (exp.f64 (pow.f64 x -3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -3/2))))
(cbrt.f64 (pow.f64 (pow.f64 x -3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 x -3/2)))
(exp.f64 (log.f64 (pow.f64 x -3/2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x -3/2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x -3/2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)
(*.f64 1 (pow.f64 x -2))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(*.f64 (pow.f64 x -3/2) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -2) 1)
(*.f64 (sqrt.f64 (pow.f64 x -3/2)) (*.f64 (sqrt.f64 (pow.f64 x -3/2)) (pow.f64 x -1/2)))
(*.f64 (pow.f64 x -1/2) (pow.f64 x -3/2))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 x -3/2) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (neg.f64 (pow.f64 x -3/2)) (/.f64 1 (neg.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 x 1/4)) (sqrt.f64 (pow.f64 x -3/2)))
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (pow.f64 x -3/2) (pow.f64 x 1/4)))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (pow.f64 x -3/2))
(*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 x)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x -3/2)) 1) (/.f64 (sqrt.f64 (pow.f64 x -3/2)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x -3/2)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (pow.f64 x -3/2)) (cbrt.f64 (sqrt.f64 x))))
(pow.f64 x -2)
(pow.f64 (/.f64 1 x) 2)
(pow.f64 (pow.f64 x -2) 1)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(pow.f64 (*.f64 x x) -1)
(neg.f64 (/.f64 (pow.f64 x -3/2) (neg.f64 (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (pow.f64 x -2) 2))
(log.f64 (exp.f64 (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(exp.f64 (log.f64 (pow.f64 x -2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x -2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
Outputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -3/2))) 1)
(pow.f64 x -3/2)
(*.f64 1 (pow.f64 x -3/2))
(pow.f64 x -3/2)
(*.f64 (/.f64 1 x) (pow.f64 x -1/2))
(/.f64 (pow.f64 x -1/2) x)
(pow.f64 (pow.f64 x -1/4) 6)
(*.f64 (pow.f64 x -3/2) 1)
(pow.f64 x -3/2)
(*.f64 (sqrt.f64 (pow.f64 x -3/2)) (sqrt.f64 (pow.f64 x -3/2)))
(pow.f64 x -3/2)
(*.f64 (pow.f64 x -1/2) (/.f64 1 x))
(*.f64 (/.f64 1 x) (pow.f64 x -1/2))
(/.f64 (pow.f64 x -1/2) x)
(pow.f64 (pow.f64 x -1/4) 6)
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 x (cbrt.f64 (sqrt.f64 x))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 x -1/2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (pow.f64 x -1/2) (cbrt.f64 (/.f64 1 x))))
(*.f64 (/.f64 -1 x) (/.f64 1 (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 -1 x) 1) (neg.f64 (sqrt.f64 x)))
(/.f64 -1 (*.f64 x (neg.f64 (sqrt.f64 x))))
(/.f64 (/.f64 1 x) (sqrt.f64 x))
(*.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (/.f64 1 x) (pow.f64 x 1/4)))
(/.f64 (*.f64 (/.f64 -1 x) 1) (neg.f64 (sqrt.f64 x)))
(/.f64 -1 (*.f64 x (neg.f64 (sqrt.f64 x))))
(/.f64 (/.f64 1 x) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 1 x))
(*.f64 (/.f64 1 x) (pow.f64 x -1/2))
(/.f64 (pow.f64 x -1/2) x)
(pow.f64 (pow.f64 x -1/4) 6)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 x)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (cbrt.f64 (/.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)))
(/.f64 (pow.f64 x -1/2) (/.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 x 1/4)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (cbrt.f64 (/.f64 1 x)) (sqrt.f64 x)))
(pow.f64 x -3/2)
(pow.f64 (pow.f64 x -3/2) 1)
(pow.f64 x -3/2)
(pow.f64 (sqrt.f64 (pow.f64 x -3/2)) 2)
(pow.f64 x -3/2)
(pow.f64 (pow.f64 x -1/2) 3)
(*.f64 (/.f64 1 x) (pow.f64 x -1/2))
(/.f64 (pow.f64 x -1/2) x)
(pow.f64 (pow.f64 x -1/4) 6)
(pow.f64 (pow.f64 (pow.f64 x -3/2) 3) 1/3)
(pow.f64 x -3/2)
(pow.f64 (pow.f64 x 3/2) -1)
(/.f64 1 (pow.f64 x 3/2))
(neg.f64 (/.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 -1 x) 1) (neg.f64 (sqrt.f64 x)))
(/.f64 -1 (*.f64 x (neg.f64 (sqrt.f64 x))))
(/.f64 (/.f64 1 x) (sqrt.f64 x))
(sqrt.f64 (/.f64 1 (pow.f64 x 3)))
(log.f64 (exp.f64 (pow.f64 x -3/2)))
(pow.f64 x -3/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -3/2))))
(pow.f64 x -3/2)
(cbrt.f64 (pow.f64 (pow.f64 x -3/2) 3))
(pow.f64 x -3/2)
(expm1.f64 (log1p.f64 (pow.f64 x -3/2)))
(pow.f64 x -3/2)
(exp.f64 (log.f64 (pow.f64 x -3/2)))
(pow.f64 x -3/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 x -3/2)) 1))
(pow.f64 x -3/2)
(log1p.f64 (expm1.f64 (pow.f64 x -3/2)))
(pow.f64 x -3/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 1 (pow.f64 x -2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (/.f64 1 x) (/.f64 1 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 x -3/2) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (sqrt.f64 (pow.f64 x -3/2)) (*.f64 (sqrt.f64 (pow.f64 x -3/2)) (pow.f64 x -1/2)))
(*.f64 (pow.f64 x -3/2) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) (pow.f64 x -3/2))
(*.f64 (pow.f64 x -3/2) (pow.f64 x -1/2))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 x -3/2) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 x -3/2)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 x -3/2)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (sqrt.f64 x))) (pow.f64 x -3/2))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (cbrt.f64 (/.f64 1 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 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (neg.f64 (pow.f64 x -3/2)) (/.f64 1 (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 (neg.f64 (pow.f64 x -3/2)) 1) (neg.f64 (sqrt.f64 x)))
(*.f64 1 (/.f64 (pow.f64 x -3/2) (sqrt.f64 x)))
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x))
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (cbrt.f64 (/.f64 1 x)) x))
(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 1 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 x 1/4)) (sqrt.f64 (pow.f64 x -3/2)))
(*.f64 (sqrt.f64 (pow.f64 x -3/2)) (/.f64 (/.f64 1 x) (pow.f64 x 1/4)))
(*.f64 (sqrt.f64 (pow.f64 x -3/2)) (/.f64 1 (pow.f64 x 5/4)))
(/.f64 (pow.f64 x -3/4) (pow.f64 x 5/4))
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x)) (cbrt.f64 (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 1 (pow.f64 x 1/4)) (/.f64 (pow.f64 x -3/2) (pow.f64 x 1/4)))
(/.f64 (*.f64 (neg.f64 (pow.f64 x -3/2)) 1) (neg.f64 (sqrt.f64 x)))
(*.f64 1 (/.f64 (pow.f64 x -3/2) (sqrt.f64 x)))
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (pow.f64 x -3/2))
(*.f64 (pow.f64 x -3/2) (pow.f64 x -1/2))
(*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 x)) x))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (cbrt.f64 (/.f64 1 x)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 1 x)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (cbrt.f64 (/.f64 1 x)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2)))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (*.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x -3/2)) 1) (/.f64 (sqrt.f64 (pow.f64 x -3/2)) (sqrt.f64 x)))
(/.f64 (*.f64 (neg.f64 (pow.f64 x -3/2)) 1) (neg.f64 (sqrt.f64 x)))
(*.f64 1 (/.f64 (pow.f64 x -3/2) (sqrt.f64 x)))
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x -3/2)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (pow.f64 x -3/2)) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (/.f64 (pow.f64 x -3/2) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x))
(/.f64 (/.f64 (pow.f64 x -3/2) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 x -2)
(/.f64 1 (*.f64 x x))
(pow.f64 (/.f64 1 x) 2)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (*.f64 x x) -1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(neg.f64 (/.f64 (pow.f64 x -3/2) (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 (neg.f64 (pow.f64 x -3/2)) 1) (neg.f64 (sqrt.f64 x)))
(*.f64 1 (/.f64 (pow.f64 x -3/2) (sqrt.f64 x)))
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (pow.f64 x -2) 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log.f64 (exp.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(exp.f64 (log.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(exp.f64 (*.f64 (log.f64 (pow.f64 x -2)) 1))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)

eval67.0ms (3.1%)

Compiler

Compiled 1385 to 903 computations (34.8% saved)

prune18.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1431144
Fresh000
Picked101
Done033
Total1444148
Error
0b
Counts
148 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(pow.f64 x -2)
34.9b
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x))
0.2b
(/.f64 (/.f64 1 x) x)
0.6b
(/.f64 1 (*.f64 x x))
Compiler

Compiled 23 to 16 computations (30.4% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x))
Compiler

Compiled 14 to 8 computations (42.9% saved)

series3.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x))
1.0ms
x
@-inf
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x))
0.0ms
x
@inf
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x))

rewrite63.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
1624×add-sqr-sqrt
1588×*-un-lft-identity
1500×add-cube-cbrt
1486×add-cbrt-cube
160×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
11697
221397
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3/4) (*.f64 (pow.f64 x -3/4) (pow.f64 x -1/2)))))) (#(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 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -3)) (*.f64 (cbrt.f64 (pow.f64 x -3/2)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -3/2)) (/.f64 1 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (pow.f64 x -3/2) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (pow.f64 x -3/2) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -3/4) 1) (/.f64 (pow.f64 x -3/4) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -3/4) (cbrt.f64 x)) (/.f64 (pow.f64 x -3/4) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -3)) 1) (/.f64 (cbrt.f64 (pow.f64 x -3/2)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -3)) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 (pow.f64 x -3/2)) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -3)) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 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 1 x) 2)))) (#(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 (pow.f64 x -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 x -3/2) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x -3) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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 exp.f64 (log.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))))

simplify52.0ms (2.5%)

Algorithm
egg-herbie
Rules
1678×distribute-lft-in
1606×associate-/r/
1216×associate-*r*
986×associate-*l*
876×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
092825
1210595
2681571
34249571
Stop Event
node limit
Counts
45 → 43
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)
(*.f64 (pow.f64 x -3/2) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -2) 1)
(*.f64 1 (pow.f64 x -2))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(*.f64 (pow.f64 x -3/4) (*.f64 (pow.f64 x -3/4) (pow.f64 x -1/2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -3)) (*.f64 (cbrt.f64 (pow.f64 x -3/2)) (pow.f64 x -1/2)))
(*.f64 (pow.f64 x -1/2) (pow.f64 x -3/2))
(*.f64 (neg.f64 (pow.f64 x -3/2)) (/.f64 1 (neg.f64 (sqrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (pow.f64 x -3/2) (pow.f64 x 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (pow.f64 x -3/2) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 x -3/4) 1) (/.f64 (pow.f64 x -3/4) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x -3/4) (cbrt.f64 x)) (/.f64 (pow.f64 x -3/4) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -3)) 1) (/.f64 (cbrt.f64 (pow.f64 x -3/2)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -3)) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 (pow.f64 x -3/2)) (pow.f64 x 1/4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -3)) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))
(pow.f64 x -2)
(pow.f64 (pow.f64 x -2) 1)
(pow.f64 (/.f64 1 x) 2)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(pow.f64 (*.f64 x x) -1)
(neg.f64 (/.f64 (pow.f64 x -3/2) (neg.f64 (sqrt.f64 x))))
(sqrt.f64 (/.f64 (pow.f64 x -3) x))
(log.f64 (exp.f64 (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(exp.f64 (log.f64 (pow.f64 x -2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x -2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
Outputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 x -3/2) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 1 (pow.f64 x -2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (/.f64 1 x) (/.f64 1 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 x -3/4) (*.f64 (pow.f64 x -3/4) (pow.f64 x -1/2)))
(*.f64 (pow.f64 x -3/2) (pow.f64 x -1/2))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (cbrt.f64 (pow.f64 x -3)) (*.f64 (cbrt.f64 (pow.f64 x -3/2)) (pow.f64 x -1/2)))
(*.f64 (cbrt.f64 (pow.f64 x -3)) (*.f64 (pow.f64 x -1/2) (cbrt.f64 (pow.f64 x -3/2))))
(*.f64 (pow.f64 x -1/2) (*.f64 (cbrt.f64 (pow.f64 x -3)) (cbrt.f64 (pow.f64 x -3/2))))
(*.f64 (pow.f64 x -1/2) (pow.f64 x -3/2))
(*.f64 (pow.f64 x -3/2) (pow.f64 x -1/2))
(*.f64 (neg.f64 (pow.f64 x -3/2)) (/.f64 1 (neg.f64 (sqrt.f64 x))))
(*.f64 1 (/.f64 (pow.f64 x -3/2) (sqrt.f64 x)))
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x))
(*.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (pow.f64 x -3/2) (pow.f64 x 1/4)))
(*.f64 (neg.f64 (pow.f64 x -3/2)) (/.f64 1 (neg.f64 (sqrt.f64 x))))
(*.f64 1 (/.f64 (pow.f64 x -3/2) (sqrt.f64 x)))
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (pow.f64 x -3/2) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (/.f64 (pow.f64 x -3/2) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x))
(/.f64 (pow.f64 x -3/2) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x -3/4) 1) (/.f64 (pow.f64 x -3/4) (sqrt.f64 x)))
(*.f64 (neg.f64 (pow.f64 x -3/2)) (/.f64 1 (neg.f64 (sqrt.f64 x))))
(*.f64 1 (/.f64 (pow.f64 x -3/2) (sqrt.f64 x)))
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 x -3/4) (cbrt.f64 x)) (/.f64 (pow.f64 x -3/4) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (pow.f64 x -3/2) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (/.f64 (pow.f64 x -3/2) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x))
(/.f64 (pow.f64 x -3/2) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -3)) 1) (/.f64 (cbrt.f64 (pow.f64 x -3/2)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x -3)) (/.f64 (cbrt.f64 (pow.f64 x -3/2)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -3)) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 (pow.f64 x -3/2)) (pow.f64 x 1/4)))
(*.f64 (cbrt.f64 (pow.f64 x -3)) (/.f64 (cbrt.f64 (pow.f64 x -3/2)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -3)) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (cbrt.f64 (pow.f64 x -3)) (cbrt.f64 x)))
(pow.f64 x -2)
(/.f64 1 (*.f64 x x))
(pow.f64 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (/.f64 1 x) 2)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (*.f64 x x) -1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(neg.f64 (/.f64 (pow.f64 x -3/2) (neg.f64 (sqrt.f64 x))))
(*.f64 (neg.f64 (pow.f64 x -3/2)) (/.f64 1 (neg.f64 (sqrt.f64 x))))
(*.f64 1 (/.f64 (pow.f64 x -3/2) (sqrt.f64 x)))
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x))
(sqrt.f64 (/.f64 (pow.f64 x -3) x))
(log.f64 (exp.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(exp.f64 (log.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(exp.f64 (*.f64 (log.f64 (pow.f64 x -2)) 1))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)

eval9.0ms (0.4%)

Compiler

Compiled 368 to 261 computations (29.1% saved)

prune5.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New43043
Fresh000
Picked011
Done033
Total43447
Error
0b
Counts
47 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(pow.f64 x -2)
34.9b
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x))
0.2b
(/.f64 (/.f64 1 x) x)
0.6b
(/.f64 1 (*.f64 x x))
Compiler

Compiled 23 to 16 computations (30.4% saved)

regimes14.0ms (0.7%)

Counts
7 → 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)
(/.f64 (pow.f64 x -3/2) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
Outputs
(pow.f64 x -2)
Calls

3 calls:

5.0ms
(*.f64 x x)
5.0ms
x
3.0ms
(/.f64 1 (*.f64 x x))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(/.f64 1 (*.f64 x x))
0.0b1(*.f64 x x)
Compiler

Compiled 59 to 38 computations (35.6% saved)

regimes10.0ms (0.5%)

Accuracy

Total -0.7b remaining (-435.8%)

Threshold costs -0.7b (-435.8%)

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:

4.0ms
(*.f64 x x)
3.0ms
x
2.0ms
(/.f64 1 (*.f64 x x))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1(/.f64 1 (*.f64 x x))
0.2b1(*.f64 x x)
Compiler

Compiled 30 to 19 computations (36.7% saved)

simplify5.0ms (0.2%)

Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01033
11333
Stop Event
done
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)

soundness82.0ms (3.9%)

Algorithm
egg-herbie
Rules
1720×associate-/l*
892×associate-*r*
778×associate-+r+
700×distribute-rgt-in
696×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053446
1123266
2466254
32690254
Stop Event
node limit
Compiler

Compiled 59 to 42 computations (28.8% saved)

end18.0ms (0.9%)

Compiler

Compiled 14 to 9 computations (35.7% saved)

Profiling

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