Details

Time bar (total: 2.2s)

analyze314.0ms (14.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
25%62.5%12.5%4
25%56.2%18.8%5
28.1%50%21.9%6
29.7%46.9%23.5%7
30.5%45.3%24.3%8
30.8%44.9%24.3%9
31.2%44.5%24.3%10
31.3%44.4%24.3%11
31.4%44.3%24.3%12
31.4%44.2%24.3%13
31.5%44.2%24.3%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample26.0ms (1.2%)

Algorithm
intervals
Results
12.0ms84×body1024valid
4.0ms52×body512valid
2.0ms92×body128valid
1.0ms23×body256valid
1.0msbody2048valid
Compiler

Compiled 15 to 12 computations (20% saved)

simplify94.0ms (4.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01011
11011

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
41.9b
Counts
2 → 1
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
3.9b
(-.f64 (exp.f64 x) 1)

rewrite17.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt_binary64_782
30×*-un-lft-identity_binary64_760
21×times-frac_binary64_766
15×add-cube-cbrt_binary64_795
10×difference-of-squares_binary64_729
associate-/r*_binary64_704
difference-of-sqr-1_binary64_730 distribute-lft-out--_binary64_712
add-log-exp_binary64_799 add-cbrt-cube_binary64_796
add-exp-log_binary64_798 cancel-sign-sub-inv_binary64_726 associate-/l*_binary64_705
associate-/r/_binary64_706 pow1_binary64_821 flip--_binary64_735 flip3--_binary64_764
diff-log_binary64_852 frac-2neg_binary64_771 cbrt-undiv_binary64_794 div-inv_binary64_757 div-exp_binary64_811 clear-num_binary64_759 sub-neg_binary64_753
Counts
2 → 63
Calls

2 calls:

8.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
5.0ms
(-.f64 (exp.f64 x) 1)

series48.0ms (2.2%)

Counts
2 → 6
Calls

2 calls:

38.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
9.0ms
(-.f64 (exp.f64 x) 1)

simplify74.0ms (3.4%)

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049151129
149151129

prune62.0ms (2.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New67269
Fresh000
Picked101
Done000
Total68270
Error
0.0b
Counts
70 → 2
Compiler

Compiled 945 to 464 computations (50.9% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.3b
(*.f64 x 1/12)

rewrite5.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_782
*-un-lft-identity_binary64_760 add-exp-log_binary64_798 add-cube-cbrt_binary64_795 add-cbrt-cube_binary64_796 associate-*r*_binary64_700 associate-*l*_binary64_701 pow1_binary64_821
unswap-sqr_binary64_728 prod-exp_binary64_809 add-log-exp_binary64_799 cbrt-unprod_binary64_793 pow-prod-down_binary64_831 *-commutative_binary64_691
Counts
1 → 18
Calls

1 calls:

4.0ms
(*.f64 x 1/12)

series13.0ms (0.6%)

Counts
1 → 3
Calls

1 calls:

13.0ms
(*.f64 x 1/12)

simplify60.0ms (2.8%)

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04772130
14772130

prune17.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New21021
Fresh011
Picked011
Done000
Total21223
Error
0.0b
Counts
23 → 2
Compiler

Compiled 265 to 210 computations (20.8% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (exp.f64 x) (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))))
3.9b
(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
3.9b
(-.f64 (exp.f64 x) 1)

rewrite28.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt_binary64_782
45×*-un-lft-identity_binary64_760
40×log-pow_binary64_849
35×exp-prod_binary64_812
33×times-frac_binary64_766
27×add-cube-cbrt_binary64_795
12×difference-of-squares_binary64_729
11×associate-/r*_binary64_704
pow1_binary64_821
log-prod_binary64_846
cancel-sign-sub-inv_binary64_726 difference-of-sqr-1_binary64_730 distribute-lft-out--_binary64_712
add-log-exp_binary64_799 add-cbrt-cube_binary64_796
add-exp-log_binary64_798 exp-sum_binary64_806
associate-/l*_binary64_705
sub-neg_binary64_753
diff-log_binary64_852 log-div_binary64_847 frac-2neg_binary64_771 cbrt-undiv_binary64_794 exp-diff_binary64_808 div-inv_binary64_757 rem-log-exp_binary64_801 div-exp_binary64_811 clear-num_binary64_759 flip--_binary64_735 flip3--_binary64_764
Counts
3 → 101
Calls

3 calls:

9.0ms
(/.f64 (exp.f64 x) (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))))
6.0ms
(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
5.0ms
(-.f64 (exp.f64 x) 1)

series194.0ms (9%)

Counts
3 → 9
Calls

3 calls:

110.0ms
(/.f64 (exp.f64 x) (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))))
75.0ms
(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
8.0ms
(-.f64 (exp.f64 x) 1)

simplify81.0ms (3.8%)

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049361705
149361705

prune78.0ms (3.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1100110
Fresh000
Picked011
Done011
Total1102112
Error
0.0b
Counts
112 → 2
Compiler

Compiled 1524 to 792 computations (48% saved)

regimes67.0ms (3.1%)

Accuracy

Total 1.0b remaining (98.7%)

Threshold costs 1.0b (98.7%)

Compiler

Compiled 577 to 405 computations (29.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01621
11621

end0.0ms (0%)

sample961.0ms (44.5%)

Algorithm
intervals
Results
368.0ms2633×body1024valid
104.0ms1355×body512valid
71.0ms3068×body128valid
45.0ms286×body2048valid
32.0ms658×body256valid
0.0msbody2048invalid
Compiler

Compiled 178 to 129 computations (27.5% saved)

Profiling

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