Details

Time bar (total: 1.9s)

analyze95.0ms (5%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0467
1467
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%50%0%3
87.5%12.5%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample11.0ms (0.6%)

Algorithm
1×intervals
Results
4.0ms256×body128valid
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify9.0ms (0.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0467
1467

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 x (-.f64 1 x))

rewrite42.0ms (2.2%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
24×add-sqr-sqrt_binary64_3851 *-un-lft-identity_binary64_3829
18×times-frac_binary64_3835
12×add-cube-cbrt_binary64_3864
8×difference-of-squares_binary64_3798
6×associate-/r*_binary64_3773
4×distribute-lft-out--_binary64_3781
3×add-exp-log_binary64_3867 add-cbrt-cube_binary64_3865 associate-/l*_binary64_3774
2×associate-/r/_binary64_3775
1×pow1_binary64_3890 div-exp_binary64_3880 add-log-exp_binary64_3868 cbrt-undiv_binary64_3863 frac-2neg_binary64_3840 clear-num_binary64_3828 div-inv_binary64_3826 flip3--_binary64_3833 flip--_binary64_3804
Counts
1 → 41
Calls

1 calls:

6.0ms
(/.f64 x (-.f64 1 x))
Compiler

Compiled 526 to 328 computations (37.6% saved)

series36.0ms (1.9%)

Error
0.0b
Counts
1 → 12
Calls

1 calls:

27.0ms
(/.f64 x (-.f64 1 x))
Compiler

Compiled 204 to 173 computations (15.2% saved)

simplify92.0ms (4.8%)

Algorithm
1×egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
04849704
14849704

prune35.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New50353
Fresh000
Picked011
Done000
Total50454
Error
0b
Counts
54 → 4
Compiler

Compiled 588 to 364 computations (38.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (-.f64 1 x))
0.1b
(*.f64 x (/.f64 1 (-.f64 1 x)))

rewrite102.0ms (5.4%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
52×add-sqr-sqrt_binary64_3851
46×*-un-lft-identity_binary64_3829
38×times-frac_binary64_3835
24×add-cube-cbrt_binary64_3864 associate-*r*_binary64_3769
15×add-exp-log_binary64_3867
14×difference-of-squares_binary64_3798
9×add-cbrt-cube_binary64_3865
7×distribute-lft-out--_binary64_3781
6×associate-/r*_binary64_3773
5×pow1_binary64_3890
4×div-exp_binary64_3880 prod-exp_binary64_3878 associate-/r/_binary64_3775
3×unswap-sqr_binary64_3797 associate-*l*_binary64_3770 associate-/l*_binary64_3774
2×1-exp_binary64_3873 rec-exp_binary64_3879 add-log-exp_binary64_3868 cbrt-unprod_binary64_3862 cbrt-undiv_binary64_3863 div-inv_binary64_3826 flip3--_binary64_3833 flip--_binary64_3804
1×pow-prod-down_binary64_3900 un-div-inv_binary64_3827 associate-*r/_binary64_3771 *-commutative_binary64_3760 inv-pow_binary64_3914 pow-flip_binary64_3903 frac-2neg_binary64_3840 clear-num_binary64_3828
Counts
2 → 92
Calls

2 calls:

12.0ms
(*.f64 x (/.f64 1 (-.f64 1 x)))
6.0ms
(/.f64 1 (-.f64 1 x))
Compiler

Compiled 1354 to 1043 computations (23% saved)

series71.0ms (3.8%)

Error
0b
Counts
2 → 24
Calls

2 calls:

28.0ms
(*.f64 x (/.f64 1 (-.f64 1 x)))
28.0ms
(/.f64 1 (-.f64 1 x))
Compiler

Compiled 500 to 405 computations (19% saved)

simplify63.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
056951341

prune82.0ms (4.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh022
Picked011
Done011
Total1164120
Error
0b
Counts
120 → 4
Compiler

Compiled 1374 to 996 computations (27.5% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 x (*.f64 x x))

rewrite10.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
3×add-log-exp_binary64_3868
2×*-un-lft-identity_binary64_3829
1×sum-log_binary64_3920 pow1_binary64_3890 add-exp-log_binary64_3867 add-cbrt-cube_binary64_3865 add-cube-cbrt_binary64_3864 add-sqr-sqrt_binary64_3851 flip3-+_binary64_3832 flip-+_binary64_3803 distribute-rgt1-in_binary64_3785 distribute-rgt-out_binary64_3782 +-commutative_binary64_3759
Counts
1 → 13
Calls

1 calls:

3.0ms
(+.f64 x (*.f64 x x))
Compiler

Compiled 146 to 43 computations (70.5% saved)

series36.0ms (1.9%)

Error
0b
Counts
1 → 6
Calls

1 calls:

33.0ms
(+.f64 x (*.f64 x x))
Compiler

Compiled 59 to 45 computations (23.7% saved)

simplify74.0ms (3.9%)

Algorithm
1×egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
05054165

prune10.0ms (0.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New19019
Fresh011
Picked011
Done022
Total19423
Error
0b
Counts
23 → 4
Compiler

Compiled 152 to 49 computations (67.8% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(log.f64 (/.f64 x (-.f64 1 x)))
0.0b
(/.f64 x (-.f64 1 x))
1.7b
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))

rewrite314.0ms (16.5%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
65×add-sqr-sqrt_binary64_3851 *-un-lft-identity_binary64_3829
54×times-frac_binary64_3835
48×log-prod_binary64_3915
35×add-cube-cbrt_binary64_3864
24×exp-sum_binary64_3875
20×difference-of-squares_binary64_3798
10×distribute-lft-out--_binary64_3781
8×add-exp-log_binary64_3867
6×associate-/r/_binary64_3775 associate-/r*_binary64_3773
5×pow1_binary64_3890 add-cbrt-cube_binary64_3865
4×exp-prod_binary64_3881
3×div-inv_binary64_3826 flip3--_binary64_3833 flip--_binary64_3804 add-log-exp_binary64_3868 associate-/l*_binary64_3774
2×log-pow_binary64_3918 log-div_binary64_3916 div-exp_binary64_3880 rem-log-exp_binary64_3870
1×exp-diff_binary64_3877 rem-exp-log_binary64_3869 cbrt-undiv_binary64_3863 frac-2neg_binary64_3840 clear-num_binary64_3828
Counts
3 → 113
Calls

3 calls:

192.0ms
(log.f64 (/.f64 x (-.f64 1 x)))
7.0ms
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
5.0ms
(/.f64 x (-.f64 1 x))
Compiler

Compiled 1789 to 1227 computations (31.4% saved)

series83.0ms (4.4%)

Error
0b
Counts
3 → 20
Calls

3 calls:

28.0ms
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
24.0ms
(/.f64 x (-.f64 1 x))
20.0ms
(log.f64 (/.f64 x (-.f64 1 x)))
Compiler

Compiled 380 to 283 computations (25.5% saved)

simplify95.0ms (5%)

Algorithm
1×egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
051251847

prune90.0ms (4.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1330133
Fresh000
Picked011
Done033
Total1334137
Error
0b
Counts
137 → 4
Compiler

Compiled 1590 to 1025 computations (35.5% saved)

regimes39.0ms (2.1%)

Accuracy

Total 0.0b remaining (96.1%)

Threshold costs 0.0b (96.1%)

Compiler

Compiled 260 to 204 computations (21.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0157
1157

end0.0ms (0%)

sample489.0ms (25.8%)

Algorithm
1×intervals
Results
138.0ms8000×body128valid
Compiler

Compiled 135 to 107 computations (20.7% saved)

Profiling

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