Details

Time bar (total: 2.9s)

analyze1.0ms (0%)

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

Compiled 107 to 71 computations (33.6% saved)

sample2.5s (85.7%)

Infinites
99.3% of outputs are infinite.
Results
2.4s8256×body128valid
Compiler

Compiled 318 to 211 computations (33.6% saved)

simplify71.0ms (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

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0b
Counts
3 → 1
Alt Table
StatusErrorProgram
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)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 15/8 (pow.f64 x 6))
0.6b
(/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))
0.6b
(/.f64 3/4 (*.f64 x x))
1.0b
(sqrt.f64 (PI.f64))

series9.0ms (0.3%)

Counts
4 → 24
Calls

4 calls:

3.0ms
(/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))
3.0ms
(/.f64 15/8 (pow.f64 x 6))
2.0ms
(/.f64 3/4 (*.f64 x x))
0.0ms
(sqrt.f64 (PI.f64))

rewrite21.0ms (0.7%)

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:

7.0ms
(/.f64 3/4 (*.f64 x x))
6.0ms
(/.f64 (+.f64 1/2 (/.f64 3/4 (*.f64 x x))) (*.f64 x x))
3.0ms
(/.f64 15/8 (pow.f64 x 6))
1.0ms
(sqrt.f64 (PI.f64))

simplify87.0ms (3%)

Algorithm
egg-herbie
Rules
814×times-frac_binary64
618×fma-def_binary64
421×associate-*l*_binary64
421×associate-/l*_binary64
374×associate-*r*_binary64
Counts
136 → 151
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01961938
13641691
210211639
347751639
452671639

prune122.0ms (4.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1510151
Fresh000
Picked011
Done000
Total1511152
Error
0b
Counts
152 → 1
Alt Table
StatusErrorProgram
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 5559 to 2805 computations (49.5% saved)

regimes27.0ms (0.9%)

Accuracy

Total 0.3b remaining (94.9%)

Threshold costs 0.3b (94.9%)

Counts
5 → 1
Compiler

Compiled 848 to 588 computations (30.7% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02138
12638
22538

end56.0ms (1.9%)

Compiler

Compiled 81 to 61 computations (24.7% saved)

Profiling

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