Details

Time bar (total: 4.1s)

analyze3.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%25%75%0
25%0%75%1
Compiler

Compiled 107 to 71 computations (33.6% saved)

sample3.6s (86.4%)

Results
3.4s8256×body128valid
Compiler

Compiled 318 to 211 computations (33.6% saved)

simplify97.0ms (2.4%)

Algorithm
egg-herbie
Rules
847×unswap-sqr_binary64
640×associate-*l/_binary64
462×associate-*r/_binary64
372×associate-/l*_binary64
366×distribute-rgt-out_binary64
Counts
1 → 2
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
035152
19182
227858
3116752
4337649
5396747
6472647
7567347

prune8.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.0b
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x)))))
Compiler

Compiled 196 to 128 computations (34.7% saved)

localize29.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 15/8 (pow.f64 x 6))
0.9b
(/.f64 3/4 (*.f64 x x))
1.0b
(/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))
1.0b
(sqrt.f64 (PI.f64))

series18.0ms (0.4%)

Counts
4 → 24
Calls

4 calls:

7.0ms
(/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))
6.0ms
(/.f64 15/8 (pow.f64 x 6))
5.0ms
(/.f64 3/4 (*.f64 x x))
0.0ms
(sqrt.f64 (PI.f64))

rewrite34.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity_binary64
28×times-frac_binary64
26×add-sqr-sqrt_binary64
25×add-cube-cbrt_binary64
19×add-exp-log_binary64
Counts
4 → 112
Calls

4 calls:

12.0ms
(/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))
7.0ms
(/.f64 3/4 (*.f64 x x))
6.0ms
(/.f64 15/8 (pow.f64 x 6))
2.0ms
(sqrt.f64 (PI.f64))

simplify117.0ms (2.8%)

Algorithm
egg-herbie
Rules
814×times-frac_binary64
618×fma-def_binary64
422×associate-*l*_binary64
421×associate-/l*_binary64
374×associate-*r*_binary64
Counts
136 → 141
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01961938
13641691
210211639
347751639
452671639

prune126.0ms (3.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1410141
Fresh000
Picked011
Done000
Total1411142
Error
0.0b
Counts
142 → 1
Alt Table
StatusErrorProgram
0.0b
(*.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x)))))
Compiler

Compiled 5179 to 2618 computations (49.4% saved)

regimes42.0ms (1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
5 → 1
Compiler

Compiled 848 to 588 computations (30.7% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02247
12847
22747

end85.0ms (2.1%)

Compiler

Compiled 93 to 63 computations (32.3% saved)

Profiling

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