Details

Time bar (total: 2.4s)

analyze5.0ms (0.2%)

Algorithm
1×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
1×intervals
Results
14.0ms256×body128valid
Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify386.0ms (15.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (288.0ms)

IterNodesCost
0754420

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 26 to 20 computations (23.1% saved)

localize13.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite30.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
23×*-un-lft-identity_binary64_760
13×times-frac_binary64_766
12×add-sqr-sqrt_binary64_782
8×distribute-lft-out_binary64_711 sqrt-prod_binary64_776
7×add-cube-cbrt_binary64_795
6×div-inv_binary64_757
4×add-log-exp_binary64_799
3×distribute-rgt-out_binary64_713 pow1_binary64_821
2×add-exp-log_binary64_798 difference-of-squares_binary64_729 sqrt-div_binary64_777 add-cbrt-cube_binary64_796
1×rem-sqrt-square_binary64_773 flip3-+_binary64_763 distribute-rgt1-in_binary64_716 sqrt-pow1_binary64_778 frac-add_binary64_768 flip-+_binary64_734 +-commutative_binary64_690 sum-log_binary64_851 pow1/2_binary64_840 flip--_binary64_735 flip3--_binary64_764
Counts
2 → 41
Calls

2 calls:

23.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))

series52.0ms (2.1%)

Counts
2 → 6
Calls

2 calls:

30.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
22.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))

simplify59.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05012855

prune49.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New46147
Fresh000
Picked011
Done000
Total46248

Merged error: 0b

Counts
48 → 2
Compiler

Compiled 924 to 616 computations (33.3% saved)

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
0.5b
(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.5b
(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.5b
(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

rewrite173.0ms (7.1%)

Algorithm
1×rewrite-expression-head
Rules
166×*-un-lft-identity_binary64_760
125×cbrt-prod_binary64_791
91×times-frac_binary64_766
72×add-sqr-sqrt_binary64_782
64×distribute-lft-out_binary64_711
52×div-inv_binary64_757
43×add-cube-cbrt_binary64_795
33×cbrt-div_binary64_792
26×swap-sqr_binary64_727
25×distribute-rgt-out_binary64_713
21×sqrt-prod_binary64_776
18×associate-*r*_binary64_700 associate-*l*_binary64_701
11×flip3-+_binary64_763 frac-add_binary64_768 flip-+_binary64_734 pow1_binary64_821
9×pow1/3_binary64_842 frac-times_binary64_770
7×distribute-rgt1-in_binary64_716
6×add-exp-log_binary64_798
4×unswap-sqr_binary64_728 add-log-exp_binary64_799 add-cbrt-cube_binary64_796
3×associate-*l/_binary64_703 associate-*r/_binary64_702
2×pow-sqr_binary64_733 pow-prod-up_binary64_830 pow-prod-down_binary64_831
1×pow2_binary64_841 prod-exp_binary64_809 pow-plus_binary64_823 cbrt-unprod_binary64_793 *-commutative_binary64_691
Counts
4 → 177
Calls

4 calls:

61.0ms
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
28.0ms
(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
26.0ms
(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
24.0ms
(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

series297.0ms (12.1%)

Counts
4 → 12
Calls

4 calls:

84.0ms
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
74.0ms
(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
72.0ms
(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
66.0ms
(cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

simplify134.0ms (5.5%)

Algorithm
1×egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
048636248
148636248

prune500.0ms (20.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1890189
Fresh000
Picked011
Done011
Total1892191

Merged error: 0b

Counts
191 → 2
Compiler

Compiled 9030 to 5888 computations (34.8% saved)

regimes41.0ms (1.7%)

Compiler

Compiled 262 to 184 computations (29.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02920
12920

end0.0ms (0%)

sample668.0ms (27.3%)

Algorithm
1×intervals
Results
443.0ms8000×body128valid
0.0ms7×body128nan
Compiler

Compiled 97 to 70 computations (27.8% saved)

Profiling

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