Details

Time bar (total: 2.9s)

analyze3.0ms (0.1%)

Algorithm
1×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
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample1.1s (39.4%)

Results
1.1s8256×body256valid
Bogosity

preprocess19.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
1×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1104
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(+.f64 x (/.f64 1 3))
Outputs
(+.f64 x (/.f64 1 3))
(+.f64 x 1/3)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify8.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1104
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 x (/.f64 1 3))
Outputs
(+.f64 x (/.f64 1 3))
(+.f64 x 1/3)

eval1.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(+.f64 x 1/3)
Compiler

Compiled 4 to 3 computations (25% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x 1/3)
Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+.f64 x 1/3)
0.0ms
x
@0
(+.f64 x 1/3)
0.0ms
x
@-inf
(+.f64 x 1/3)

rewrite46.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
473×pow1_binary64
468×add-sqr-sqrt_binary64
456×*-un-lft-identity_binary64
446×add-log-exp_binary64
446×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1914
211504
Stop Event
1×node limit
Counts
1 → 30
Calls
Call 1
Inputs
(+.f64 x 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)))))

simplify8.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0439
1539
Stop Event
1×saturated
Counts
42 → 33
Calls
Call 1
Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)

eval11.0ms (0.4%)

Compiler

Compiled 265 to 196 computations (26% saved)

prune7.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New28533
Fresh000
Picked011
Done000
Total28634
Error
0b
Counts
34 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶16.0b
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
▶0.5b
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
30.4b
x
32.6b
1/3
▶21.3b
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
✓0.0b
(+.f64 x 1/3)
Compiler

Compiled 42 to 32 computations (23.8% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (+.f64 x 1/3))
0.0b
(+.f64 x 1/3)
✓0.5b
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
Compiler

Compiled 19 to 15 computations (21.1% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
0.0ms
x
@inf
(+.f64 1 (+.f64 x 1/3))
0.0ms
x
@inf
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
0.0ms
x
@-inf
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
0.0ms
x
@0
(+.f64 1 (+.f64 x 1/3))

rewrite83.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
877×pow1_binary64
831×add-log-exp_binary64
830×log1p-expm1-u_binary64
830×expm1-log1p-u_binary64
820×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0717
11688
224198
Stop Event
1×node limit
Counts
2 → 89
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(+.f64 1 (+.f64 x 1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 x -2/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 4/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 1 (+.f64 x 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (/.f64 1 (+.f64 1 (+.f64 x 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 1 (+.f64 x 4/3))) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 x 4/3)) (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 1 (+.f64 x 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 1 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (-.f64 (+.f64 x 4/3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 1 (+.f64 x 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)) (neg.f64 (+.f64 1 (+.f64 x 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3)) (+.f64 x -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3))) (-.f64 1 (+.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 4/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x 4/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 2/3 x)) (/.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 4/3)) (*.f64 (sqrt.f64 (+.f64 x 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (/.f64 1 (-.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 2/3 x) (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (-.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))) (neg.f64 (-.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) 1/27) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1/9 (*.f64 (+.f64 1 x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1/3) 2) 1) (+.f64 x -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1/9) (-.f64 (+.f64 1 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) 1) (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) 1) (-.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)) 1)))))

simplify11.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0678
1878
Stop Event
1×saturated
Counts
113 → 94
Calls
Call 1
Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
4/3
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
x
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
x
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
4/3
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
x
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
x
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)

localize21.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 x x) (*.f64 x 1/3))
✓0.0b
(+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3)))
✓0.3b
(*.f64 x 1/3)
✓20.6b
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
Compiler

Compiled 51 to 32 computations (37.3% saved)

series7.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (*.f64 x x) (*.f64 x 1/3))
1.0ms
x
@-inf
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
1.0ms
x
@0
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
1.0ms
x
@inf
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
0.0ms
x
@inf
(*.f64 x 1/3)

rewrite121.0ms (4.2%)

Algorithm
1×batch-egg-rewrite
Rules
987×prod-diff_binary64
639×fma-def_binary64
275×fma-neg_binary64
251×expm1-udef_binary64
251×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01340
131636
2421236
Stop Event
1×node limit
Counts
4 → 342
Calls
Call 1
Inputs
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
(*.f64 x 1/3)
(+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3)))
(-.f64 (*.f64 x x) (*.f64 x 1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) 2) (*.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))) 2) (cbrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (*.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))) (sqrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/27 (neg.f64 (pow.f64 x 3))) (/.f64 1 (neg.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)) (+.f64 1/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) 1) (/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)) (/.f64 (+.f64 1/27 (pow.f64 x 3)) (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) 2) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)) (cbrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2)) (/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (/.f64 (+.f64 1/27 (pow.f64 x 3)) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) 2) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (/.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x -1/3)) 3))) (fma.f64 (*.f64 x (+.f64 x -1/3)) (fma.f64 x (+.f64 x -1/3) -1/9) 1/81))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x -1/3)) 2))) (-.f64 1/9 (*.f64 x (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (+.f64 x -1/3) 1/9) (+.f64 1/27 (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (neg.f64 (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1/27 (pow.f64 x 3)) 3) (pow.f64 (fma.f64 x (+.f64 x -1/3) 1/9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))) 1))))))
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#<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/3)) (neg.f64 (sqrt.f64 (*.f64 x 1/3))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 6) (*.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 (*.f64 x 1/3) (*.f64 x (+.f64 x 1/3)) (pow.f64 x 4))) (fma.f64 x -1/3 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 6) (*.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 (*.f64 x 1/3) (*.f64 x (+.f64 x 1/3)) (pow.f64 x 4))) (fma.f64 (*.f64 x -1/3) 1 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 6) (*.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 (*.f64 x 1/3) (*.f64 x (+.f64 x 1/3)) (pow.f64 x 4))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 1/3))) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 6) (*.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 (*.f64 x 1/3) (*.f64 x (+.f64 x 1/3)) (pow.f64 x 4))) (*.f64 (fma.f64 x -1/3 (*.f64 x 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 6) (*.f64 -1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 (*.f64 x 1/3) (*.f64 x (+.f64 x 1/3)) (pow.f64 x 4))) (+.f64 (fma.f64 x -1/3 (*.f64 x 1/3)) (fma.f64 x -1/3 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (/.f64 1 (*.f64 x (+.f64 x 1/3))) (fma.f64 x -1/3 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (/.f64 1 (*.f64 x (+.f64 x 1/3))) (fma.f64 (*.f64 x -1/3) 1 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (/.f64 1 (*.f64 x (+.f64 x 1/3))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 1/3))) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (/.f64 1 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(*.f64 x -1/3) 1 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1/3) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 1/3))) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1/3) x (*.f64 (fma.f64 x -1/3 (*.f64 x 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1/3) x (+.f64 (fma.f64 x -1/3 (*.f64 x 1/3)) (fma.f64 x -1/3 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x -1/3)) (cbrt.f64 (*.f64 x -1/3))) (cbrt.f64 (*.f64 x -1/3)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 x -1/3 (*.f64 x 1/3))) (cbrt.f64 (fma.f64 x -1/3 (*.f64 x 1/3)))) (cbrt.f64 (fma.f64 x -1/3 (*.f64 x 1/3))) (*.f64 x (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/3)) (sqrt.f64 (*.f64 x -1/3)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x -1/3 (*.f64 x 1/3))) (sqrt.f64 (fma.f64 x -1/3 (*.f64 x 1/3))) (*.f64 x (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 x 1/3))) (sqrt.f64 (*.f64 x 1/3)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x 1/3) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (sqrt.f64 (*.f64 x 1/3))) (-.f64 x (sqrt.f64 (*.f64 x 1/3))) (fma.f64 x -1/3 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (sqrt.f64 (*.f64 x 1/3))) (-.f64 x (sqrt.f64 (*.f64 x 1/3))) (fma.f64 (*.f64 x -1/3) 1 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (sqrt.f64 (*.f64 x 1/3))) (-.f64 x (sqrt.f64 (*.f64 x 1/3))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x 1/3))) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (sqrt.f64 (*.f64 x 1/3))) (-.f64 x (sqrt.f64 (*.f64 x 1/3))) (*.f64 (fma.f64 x -1/3 (*.f64 x 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (sqrt.f64 (*.f64 x 1/3))) (-.f64 x (sqrt.f64 (*.f64 x 1/3))) (+.f64 (fma.f64 x -1/3 (*.f64 x 1/3)) (fma.f64 x -1/3 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) (cbrt.f64 (*.f64 x 1/3)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 x -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x -1/3 (fma.f64 x -1/3 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 x 1/3) (fma.f64 x -1/3 (*.f64 x 1/3)))))))))

simplify209.0ms (7.2%)

Algorithm
1×egg-herbie
Rules
1082×sqr-pow_binary64
652×fma-def_binary64
560×cube-prod_binary64
556×fabs-mul_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
013269
126250
248238
384238
4169238
5425238
61318238
72553238
82947238
93139238
103349238
113663238
124069238
134554238
145126238
155822238
166668238
177060238
187346238
197628238
207702238
217738238
Stop Event
1×node limit
Counts
390 → 355
Calls
Call 1
Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
1/9
(+.f64 1/9 (*.f64 -1/3 x))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(*.f64 -1/3 x)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
1/9
(+.f64 1/9 (*.f64 -1/3 x))
(+.f64 1/9 (*.f64 x -1/3))
(fma.f64 x -1/3 1/9)
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (fma.f64 -1/3 x (*.f64 x x)))
(+.f64 1/9 (*.f64 x (+.f64 -1/3 x)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (fma.f64 -1/3 x (*.f64 x x)))
(+.f64 1/9 (*.f64 x (+.f64 -1/3 x)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(fma.f64 -1/3 x (*.f64 x x))
(*.f64 x (+.f64 -1/3 x))
(*.f64 x (+.f64 x -1/3))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (fma.f64 -1/3 x (*.f64 x x)))
(+.f64 1/9 (*.f64 x (+.f64 -1/3 x)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (fma.f64 -1/3 x (*.f64 x x)))
(+.f64 1/9 (*.f64 x (+.f64 -1/3 x)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(fma.f64 -1/3 x (*.f64 x x))
(*.f64 x (+.f64 -1/3 x))
(*.f64 x (+.f64 x -1/3))
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (fma.f64 -1/3 x (*.f64 x x)))
(+.f64 1/9 (*.f64 x (+.f64 -1/3 x)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 -1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (fma.f64 -1/3 x (*.f64 x x)))
(+.f64 1/9 (*.f64 x (+.f64 -1/3 x)))
(fma.f64 x (+.f64 x -1/3) 1/9)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(fma.f64 -1/3 x (*.f64 x x))
(*.f64 x (+.f64 -1/3 x))
(*.f64 x (+.f64 x -1/3))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(fma.f64 -1/3 x (*.f64 x x))
(*.f64 x (+.f64 -1/3 x))
(*.f64 x (+.f64 x -1/3))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(fma.f64 -1/3 x (*.f64 x x))
(*.f64 x (+.f64 -1/3 x))
(*.f64 x (+.f64 x -1/3))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(fma.f64 -1/3 x (*.f64 x x))
(*.f64 x (+.f64 -1/3 x))
(*.f64 x (+.f64 x -1/3))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(fma.f64 -1/3 x (*.f64 x x))
(*.f64 x (+.f64 -1/3 x))
(*.f64 x (+.f64 x -1/3))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(fma.f64 -1/3 x (*.f64 x x))
(*.f64 x (+.f64 -1/3 x))
(*.f64 x (+.f64 x -1/3))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(fma.f64 -1/3 x (*.f64 x x))
(*.f64 x (+.f64 -1/3 x))
(*.f64 x (+.f64 x -1/3))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(fma.f64 -1/3 x (*.f64 x x))
(*.f64 x (+.f64 -1/3 x))
(*.f64 x (+.f64 x -1/3))
(+.f64 (*.f64 -1/3 x) (pow.f64 x 2))
(fma.f64 -1/3 x (*.f64 x x))
(*.f64 x (+.f64 -1/3 x))
(*.f64 x (+.f64 x -1/3))

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 1/3 x)
✓0.0b
(-.f64 1/9 (*.f64 x x))
✓15.0b
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
Compiler

Compiled 24 to 13 computations (45.8% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
1.0ms
x
@0
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
0.0ms
x
@-inf
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
0.0ms
x
@inf
(-.f64 1/9 (*.f64 x x))
0.0ms
x
@0
(-.f64 1/9 (*.f64 x x))

rewrite113.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
614×unpow-prod-down_binary64
430×log-prod_binary64
251×prod-diff_binary64
244×pow2_binary64
241×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0824
119215
2273415
Stop Event
1×node limit
Counts
3 → 278
Calls
Call 1
Inputs
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(-.f64 1/9 (*.f64 x x))
(-.f64 1/3 x)
Outputs
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simplify98.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
668×distribute-lft-neg-in_binary64
648×distribute-rgt-neg-in_binary64
469×associate-*l*_binary64
434×unswap-sqr_binary64
365×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012194
124158
241158
376158
4182158
5523158
61722158
73554158
84889158
96209158
107056158
Stop Event
1×node limit
Counts
314 → 289
Calls
Call 1
Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
1/9
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
1/3
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (*.f64 -1 x))
Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
1/9
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (neg.f64 (*.f64 x x)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (neg.f64 (*.f64 x x)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (neg.f64 (*.f64 x x)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (neg.f64 (*.f64 x x)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (neg.f64 (*.f64 x x)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (neg.f64 (*.f64 x x)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (neg.f64 (*.f64 x x)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (neg.f64 (*.f64 x x)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (neg.f64 (*.f64 x x)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
1/3
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (neg.f64 x))
(-.f64 1/3 x)
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (neg.f64 x))
(-.f64 1/3 x)
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (neg.f64 x))
(-.f64 1/3 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (neg.f64 x))
(-.f64 1/3 x)
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (neg.f64 x))
(-.f64 1/3 x)
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (neg.f64 x))
(-.f64 1/3 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (neg.f64 x))
(-.f64 1/3 x)
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (neg.f64 x))
(-.f64 1/3 x)
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (neg.f64 x))
(-.f64 1/3 x)

eval447.0ms (15.3%)

Compiler

Compiled 17322 to 12301 computations (29% saved)

prune163.0ms (5.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New7674771
Fresh202
Picked101
Done213
Total7725777
Error
0b
Counts
777 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
32.6b
1/3
30.4b
x
▶0.5b
(+.f64 (+.f64 x -2/3) 1)
▶33.0b
(/.f64 1/9 (-.f64 1/3 x))
✓0.0b
(+.f64 x 1/3)
Compiler

Compiled 20 to 16 computations (20% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x -2/3)
✓0.5b
(+.f64 (+.f64 x -2/3) 1)
Compiler

Compiled 12 to 9 computations (25% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(+.f64 (+.f64 x -2/3) 1)
0.0ms
x
@0
(+.f64 (+.f64 x -2/3) 1)
0.0ms
x
@inf
(+.f64 x -2/3)
0.0ms
x
@0
(+.f64 x -2/3)
0.0ms
x
@inf
(+.f64 (+.f64 x -2/3) 1)

rewrite61.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
715×pow1_binary64
676×add-log-exp_binary64
676×log1p-expm1-u_binary64
676×expm1-log1p-u_binary64
666×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11378
217818
Stop Event
1×node limit
Counts
2 → 69
Calls
Call 1
Inputs
(+.f64 (+.f64 x -2/3) 1)
(+.f64 x -2/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 1 (+.f64 x -5/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1) (/.f64 1 (+.f64 x -5/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x -5/3) (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1) (+.f64 x -5/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1)) (neg.f64 (+.f64 x -5/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 (*.f64 x x) (-.f64 1/9 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x -2/3) 2)) (-.f64 1 (+.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x -2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -2/3)) (sqrt.f64 (+.f64 x -2/3)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x 2/3)) (/.f64 4/9 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x -2/3)) (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (*.f64 (cbrt.f64 (+.f64 x -2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -2/3)) (sqrt.f64 (+.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -2/3)) (*.f64 (sqrt.f64 (+.f64 x -2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -8/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))) (+.f64 -8/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2/3) (fma.f64 x x -4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8/27 (pow.f64 x 3)) (+.f64 4/9 (-.f64 (*.f64 x x) (*.f64 x -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -4/9) (+.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -8/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -4/9)) (neg.f64 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 -2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 4/9 (*.f64 x -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -4/9) 1) (+.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x -2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -2/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -2/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -2/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) -2/3)))))

simplify10.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
1×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0778
11078
21178
Stop Event
1×saturated
Counts
93 → 75
Calls
Call 1
Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
-2/3
(-.f64 x 2/3)
(-.f64 x 2/3)
(-.f64 x 2/3)
x
(-.f64 x 2/3)
(-.f64 x 2/3)
(-.f64 x 2/3)
x
(-.f64 x 2/3)
(-.f64 x 2/3)
(-.f64 x 2/3)
Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
-2/3
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
x
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
x
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1/3 x)
✓0.2b
(/.f64 1/9 (-.f64 1/3 x))
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 1/9 (-.f64 1/3 x))
0.0ms
x
@-inf
(/.f64 1/9 (-.f64 1/3 x))
0.0ms
x
@0
(/.f64 1/9 (-.f64 1/3 x))

rewrite51.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
702×pow1_binary64
662×add-log-exp_binary64
662×log1p-expm1-u_binary64
662×expm1-log1p-u_binary64
652×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11387
217327
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(/.f64 1/9 (-.f64 1/3 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/9 (-.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (/.f64 1 (-.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 (-.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/9 (-.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 (-.f64 1/3 x))) (pow.f64 (cbrt.f64 (/.f64 1/9 (-.f64 1/3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 (-.f64 1/3 x))) 2) (cbrt.f64 (/.f64 1/9 (-.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 (-.f64 1/3 x))) (/.f64 1/3 (sqrt.f64 (-.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/9 (/.f64 1 (neg.f64 (-.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1/3 x)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 (-.f64 1/27 (pow.f64 x 3))) (+.f64 1/9 (*.f64 x (+.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 (-.f64 1/9 (*.f64 x x))) (+.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 (-.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 (-.f64 1/3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/9 (-.f64 1/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 (-.f64 1/3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1/3 x) 9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/81 (pow.f64 (-.f64 1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/9 (-.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/9 (-.f64 1/3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/9 (-.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/9 (-.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/9 (-.f64 1/3 x))))))))

simplify45.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
898×fma-neg_binary64
810×times-frac_binary64
473×associate-*l/_binary64
462×cancel-sign-sub-inv_binary64
410×associate-/l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
039186
1108174
2309174
3972170
42962170
Stop Event
1×node limit
Counts
34 → 35
Calls
Call 1
Inputs
1/3
(+.f64 1/3 x)
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1/3 x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1/3 (+.f64 (*.f64 9 (pow.f64 x 3)) x)))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (*.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (*.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))))
Outputs
1/3
(+.f64 1/3 x)
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1/3 x))
(fma.f64 3 (*.f64 x x) (+.f64 1/3 x))
(+.f64 1/3 (fma.f64 x (*.f64 x 3) x))
(fma.f64 (fma.f64 x 3 1) x 1/3)
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1/3 (+.f64 (*.f64 9 (pow.f64 x 3)) x)))
(fma.f64 3 (*.f64 x x) (+.f64 1/3 (fma.f64 9 (pow.f64 x 3) x)))
(+.f64 (fma.f64 9 (pow.f64 x 3) x) (fma.f64 3 (*.f64 x x) 1/3))
(+.f64 1/3 (fma.f64 x (*.f64 x 3) (fma.f64 9 (pow.f64 x 3) x)))
(fma.f64 9 (pow.f64 x 3) (fma.f64 (fma.f64 x 3 1) x 1/3))
(fma.f64 (fma.f64 x 3 1) x (fma.f64 9 (pow.f64 x 3) 1/3))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (*.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x)))
(+.f64 (/.f64 -1/27 (*.f64 x x)) (/.f64 -1/9 x))
(neg.f64 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x))))
(+.f64 (+.f64 (/.f64 -1/81 (pow.f64 x 3)) (/.f64 -1/27 (*.f64 x x))) (/.f64 -1/9 x))
(+.f64 (/.f64 -1/27 (*.f64 x x)) (+.f64 (/.f64 -1/9 x) (/.f64 -1/81 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x))) (/.f64 1/243 (pow.f64 x 4))))
(+.f64 (+.f64 (+.f64 (/.f64 -1/81 (pow.f64 x 3)) (/.f64 -1/27 (*.f64 x x))) (/.f64 -1/9 x)) (/.f64 -1/243 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 -1/27 (*.f64 x x)) (+.f64 (/.f64 -1/9 x) (/.f64 -1/81 (pow.f64 x 3)))) (/.f64 -1/243 (pow.f64 x 4)))
(+.f64 (/.f64 -1/27 (*.f64 x x)) (+.f64 (/.f64 -1/243 (pow.f64 x 4)) (+.f64 (/.f64 -1/9 x) (/.f64 -1/81 (pow.f64 x 3)))))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (*.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x)))
(+.f64 (/.f64 -1/27 (*.f64 x x)) (/.f64 -1/9 x))
(neg.f64 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x))))
(+.f64 (+.f64 (/.f64 -1/81 (pow.f64 x 3)) (/.f64 -1/27 (*.f64 x x))) (/.f64 -1/9 x))
(+.f64 (/.f64 -1/27 (*.f64 x x)) (+.f64 (/.f64 -1/9 x) (/.f64 -1/81 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x))) (/.f64 1/243 (pow.f64 x 4))))
(+.f64 (+.f64 (+.f64 (/.f64 -1/81 (pow.f64 x 3)) (/.f64 -1/27 (*.f64 x x))) (/.f64 -1/9 x)) (/.f64 -1/243 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 -1/27 (*.f64 x x)) (+.f64 (/.f64 -1/9 x) (/.f64 -1/81 (pow.f64 x 3)))) (/.f64 -1/243 (pow.f64 x 4)))
(+.f64 (/.f64 -1/27 (*.f64 x x)) (+.f64 (/.f64 -1/243 (pow.f64 x 4)) (+.f64 (/.f64 -1/9 x) (/.f64 -1/81 (pow.f64 x 3)))))

eval50.0ms (1.7%)

Compiler

Compiled 1810 to 1438 computations (20.6% saved)

prune22.0ms (0.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1711172
Fresh112
Picked011
Done022
Total1725177
Error
0b
Counts
177 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
30.4b
x
32.6b
1/3
✓0.5b
(+.f64 (+.f64 x -2/3) 1)
✓33.0b
(/.f64 1/9 (-.f64 1/3 x))
✓0.0b
(+.f64 x 1/3)
Compiler

Compiled 20 to 16 computations (20% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done033
Total055
Error
0b
Counts
5 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
30.4b
x
32.6b
1/3
✓0.5b
(+.f64 (+.f64 x -2/3) 1)
✓33.0b
(/.f64 1/9 (-.f64 1/3 x))
✓0.0b
(+.f64 x 1/3)
Compiler

Compiled 20 to 16 computations (20% saved)

regimes19.0ms (0.7%)

Counts
12 → 1
Calls
Call 1
Inputs
1/3
1/3
x
x
1/3
(+.f64 x 1/3)
(+.f64 (+.f64 x -2/3) 1)
(/.f64 1/9 (-.f64 1/3 x))
(+.f64 x (/.f64 1 3))
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
Outputs
(+.f64 x 1/3)
Calls

3 calls:

6.0ms
x
5.0ms
(+.f64 x (/.f64 1 3))
5.0ms
(+.f64 x (/.f64 1 3))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(+.f64 x (/.f64 1 3))
0.0b1(+.f64 x (/.f64 1 3))
Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes14.0ms (0.5%)

Counts
5 → 3
Calls
Call 1
Inputs
1/3
1/3
x
x
1/3
Outputs
x
1/3
x
Calls

1 calls:

13.0ms
x
Results
ErrorSegmentsBranch
1.4b3x
Compiler

Compiled 8 to 5 computations (37.5% saved)

bsearch27.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
14.0ms
2.2078869502073876e-9
2318408269.198578
13.0ms
-2.9621526934651756
-0.0018559628785769838
Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
1/3
1/3
Outputs
1/3
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
32.6b1x
Compiler

Compiled 5 to 4 computations (20% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01120
11220
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 x 1/3)
(if (<=.f64 x -3335087441626069/1125899906842624) x (if (<=.f64 x 1334585770447955/604462909807314587353088) 1/3 x))
1/3
Outputs
(+.f64 x 1/3)
(if (<=.f64 x -3335087441626069/1125899906842624) x (if (<=.f64 x 1334585770447955/604462909807314587353088) 1/3 x))
1/3
Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness7.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1104
Stop Event
1×saturated
Compiler

Compiled 10 to 8 computations (20% saved)

end23.0ms (0.8%)

Compiler

Compiled 16 to 11 computations (31.3% saved)

Profiling

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