Details

Time bar (total: 2.6s)

analyze9.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
12.5%25%62.5%4
18.7%12.5%68.8%5
21.9%6.2%71.9%6
23.4%3.1%73.5%7
24.2%1.6%74.2%8
24.6%0.8%74.6%9
24.8%0.4%74.8%10
24.9%0.2%74.9%11
24.9%0.1%75%12
25%0%75%13
25%0%75%14
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample20.0ms (0.8%)

Algorithm
intervals
Results
15.0ms256×body128valid
Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify390.0ms (14.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (291.0ms)

IterNodesCost
0754420

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.3b
Counts
2 → 1
Compiler

Compiled 26 to 20 computations (23.1% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
0.0b
(sqrt.f64 (-.f64 1 (*.f64 x x)))
0.0b
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
0.2b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

rewrite73.0ms (2.8%)

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity_binary64_760
50×times-frac_binary64_766
43×add-sqr-sqrt_binary64_782
31×sqrt-prod_binary64_776 add-cube-cbrt_binary64_795
16×distribute-lft-out_binary64_711
15×log-prod_binary64_846
13×div-inv_binary64_757
10×difference-of-squares_binary64_729
associate-/l*_binary64_705
add-exp-log_binary64_798
add-log-exp_binary64_799 add-cbrt-cube_binary64_796 distribute-rgt-out_binary64_713 pow1_binary64_821
sqrt-div_binary64_777
log-div_binary64_847 associate-/r*_binary64_704
flip3-+_binary64_763 associate-/l/_binary64_707 distribute-rgt1-in_binary64_716 frac-add_binary64_768 flip-+_binary64_734 flip--_binary64_735 flip3--_binary64_764
rem-sqrt-square_binary64_773 frac-2neg_binary64_771 cbrt-undiv_binary64_794 sqrt-pow1_binary64_778 log-pow_binary64_849 +-commutative_binary64_690 sum-log_binary64_851 rem-log-exp_binary64_801 pow1/2_binary64_840 div-exp_binary64_811 clear-num_binary64_759
Counts
4 → 117
Calls

4 calls:

29.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
24.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
6.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))

series148.0ms (5.6%)

Counts
4 → 24
Calls

4 calls:

55.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
37.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
31.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
24.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))
Compiler

Compiled 406 to 366 computations (9.9% saved)

simplify86.0ms (3.3%)

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
050692713

prune142.0ms (5.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1401141
Fresh000
Picked011
Done000
Total1402142
Error
0b
Counts
142 → 2
Compiler

Compiled 2620 to 1690 computations (35.5% saved)

localize18.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.2b
(+.f64 (*.f64 -2 (log.f64 (cbrt.f64 x))) (log.f64 (+.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)))))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite81.0ms (3.1%)

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity_binary64_760
34×log-prod_binary64_846
28×cbrt-prod_binary64_791
26×times-frac_binary64_766 add-sqr-sqrt_binary64_782
22×associate-+r+_binary64_692
20×add-cube-cbrt_binary64_795
14×distribute-lft-out_binary64_711
12×associate-+l+_binary64_693
div-inv_binary64_757
sqrt-prod_binary64_776 distribute-lft-in_binary64_709 distribute-rgt-in_binary64_710
add-log-exp_binary64_799
add-exp-log_binary64_798 add-cbrt-cube_binary64_796 distribute-rgt-out_binary64_713 pow1_binary64_821
pow1/3_binary64_842 log-div_binary64_847 associate-+r-_binary64_694
flip3-+_binary64_763 flip-+_binary64_734
distribute-rgt1-in_binary64_716 frac-add_binary64_768 +-commutative_binary64_690 sum-log_binary64_851
Counts
4 → 81
Calls

4 calls:

69.0ms
(+.f64 (*.f64 -2 (log.f64 (cbrt.f64 x))) (log.f64 (+.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)))))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series531.0ms (20.3%)

Counts
4 → 15
Calls

4 calls:

245.0ms
(+.f64 (*.f64 -2 (log.f64 (cbrt.f64 x))) (log.f64 (+.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)))))
99.0ms
(cbrt.f64 x)
94.0ms
(cbrt.f64 x)
92.0ms
(cbrt.f64 x)
Compiler

Compiled 808 to 670 computations (17.1% saved)

simplify94.0ms (3.6%)

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
048901811
148901811

prune114.0ms (4.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh000
Picked011
Done011
Total96298
Error
0b
Counts
98 → 2
Compiler

Compiled 2580 to 1485 computations (42.4% saved)

regimes92.0ms (3.5%)

Accuracy

Total 0.2b remaining (99.9%)

Threshold costs 0.2b (99.9%)

Compiler

Compiled 699 to 538 computations (23% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03719
13719

end0.0ms (0%)

sample804.0ms (30.7%)

Algorithm
intervals
Results
449.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 219 to 171 computations (21.9% saved)

Profiling

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