Details

Time bar (total: 2.5s)

analyze4.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
62.5%25%12.5%4
68.7%12.5%18.8%5
71.8%6.2%21.9%6
73.4%3.1%23.5%7
74.2%1.6%24.3%8
74.6%0.8%24.6%9
75%0.4%24.6%10
75.1%0.2%24.7%11
75.1%0.1%24.8%12
75.1%0%24.8%13
75.2%0%24.8%14
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample27.0ms (1.1%)

Algorithm
intervals
Results
11.0ms80×body1024valid
3.0ms34×body512valid
2.0ms105×body128valid
2.0ms13×body2048valid
1.0ms24×body256valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify108.0ms (4.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (10.0ms)

IterNodesCost
01689
11689

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
38.8b
Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 (exp.f64 x) 1) x)
5.5b
(-.f64 (exp.f64 x) 1)

rewrite71.0ms (2.8%)

Algorithm
rewrite-expression-head
Error
38.3b
Rules
35×add-sqr-sqrt_binary64_2828
30×*-un-lft-identity_binary64_2806
21×times-frac_binary64_2812
15×add-cube-cbrt_binary64_2841
10×difference-of-squares_binary64_2775
associate-/l*_binary64_2751
difference-of-sqr-1_binary64_2776 distribute-lft-out--_binary64_2758
add-log-exp_binary64_2845 add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842
cancel-sign-sub-inv_binary64_2772 associate-/r*_binary64_2750
pow1_binary64_2867 flip3--_binary64_2810 flip--_binary64_2781 associate-/l/_binary64_2753
diff-log_binary64_2898 sub-neg_binary64_2799 div-exp_binary64_2857 cbrt-undiv_binary64_2840 frac-2neg_binary64_2817 div-sub_binary64_2811 clear-num_binary64_2805 div-inv_binary64_2803
Counts
2 → 64
Calls

2 calls:

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

Compiled 893 to 496 computations (44.5% saved)

series66.0ms (2.6%)

Error
0.0b
Counts
2 → 12
Calls

2 calls:

36.0ms
(/.f64 (-.f64 (exp.f64 x) 1) x)
17.0ms
(-.f64 (exp.f64 x) 1)
Compiler

Compiled 242 to 192 computations (20.7% saved)

simplify67.0ms (2.6%)

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049611076
149611076

prune57.0ms (2.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New74276
Fresh000
Picked101
Done000
Total75277
Error
0.0b
Counts
77 → 2
Compiler

Compiled 916 to 503 computations (45.1% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 1/6 (*.f64 x 1/24))
0.0b
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
0.3b
(*.f64 x (+.f64 1/6 (*.f64 x 1/24)))
0.3b
(*.f64 x 1/24)

rewrite99.0ms (3.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
16×add-sqr-sqrt_binary64_2828
10×pow1_binary64_2867 add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842 add-cube-cbrt_binary64_2841 *-un-lft-identity_binary64_2806
associate-*l*_binary64_2747 associate-*r*_binary64_2746
add-log-exp_binary64_2845
associate-*r/_binary64_2748
pow-prod-down_binary64_2877 prod-exp_binary64_2855 cbrt-unprod_binary64_2839 unswap-sqr_binary64_2774 *-commutative_binary64_2737 flip3-+_binary64_2809 flip-+_binary64_2780
distribute-rgt-in_binary64_2756 distribute-lft-in_binary64_2755
sum-log_binary64_2897 +-commutative_binary64_2736
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 x (+.f64 1/6 (*.f64 x 1/24)))
6.0ms
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
4.0ms
(*.f64 x 1/24)
3.0ms
(+.f64 1/6 (*.f64 x 1/24))
Compiler

Compiled 1504 to 1164 computations (22.6% saved)

series145.0ms (5.7%)

Error
0.0b
Counts
4 → 20
Calls

4 calls:

45.0ms
(*.f64 x (+.f64 1/6 (*.f64 x 1/24)))
37.0ms
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
31.0ms
(+.f64 1/6 (*.f64 x 1/24))
18.0ms
(*.f64 x 1/24)
Compiler

Compiled 630 to 531 computations (15.7% saved)

simplify84.0ms (3.3%)

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
048841083
148841083

prune86.0ms (3.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New93093
Fresh011
Picked011
Done000
Total93295
Error
0.0b
Counts
95 → 2
Compiler

Compiled 1604 to 1243 computations (22.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (exp.f64 x) x)
4.6b
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))

rewrite74.0ms (2.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
36×add-sqr-sqrt_binary64_2828
33×*-un-lft-identity_binary64_2806
32×times-frac_binary64_2812
19×add-cube-cbrt_binary64_2841
13×cancel-sign-sub-inv_binary64_2772
div-inv_binary64_2803
difference-of-squares_binary64_2775
distribute-lft-out--_binary64_2758
add-log-exp_binary64_2845 add-cbrt-cube_binary64_2842
add-exp-log_binary64_2844 distribute-rgt-out--_binary64_2760 associate-/l*_binary64_2751 associate-/r*_binary64_2750
pow1_binary64_2867
diff-log_binary64_2898 frac-sub_binary64_2815 sub-div_binary64_2813 flip3--_binary64_2810 sub-neg_binary64_2799 flip--_binary64_2781 div-exp_binary64_2857 cbrt-undiv_binary64_2840 frac-2neg_binary64_2817 clear-num_binary64_2805
Counts
2 → 67
Calls

2 calls:

16.0ms
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
4.0ms
(/.f64 (exp.f64 x) x)
Compiler

Compiled 1050 to 484 computations (53.9% saved)

series64.0ms (2.5%)

Error
0.0b
Counts
2 → 12
Calls

2 calls:

31.0ms
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
24.0ms
(/.f64 (exp.f64 x) x)
Compiler

Compiled 254 to 203 computations (20.1% saved)

simplify72.0ms (2.8%)

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05008961

prune45.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New79079
Fresh000
Picked011
Done011
Total79281
Error
0.0b
Counts
81 → 2
Compiler

Compiled 948 to 443 computations (53.3% saved)

regimes120.0ms (4.7%)

Accuracy

Total 0.7b remaining (97.4%)

Threshold costs 0.7b (97.4%)

Compiler

Compiled 769 to 573 computations (25.5% saved)

bsearch2.0ms (0.1%)

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05388
15388

end0.0ms (0%)

sample1.3s (52.4%)

Algorithm
intervals
Results
388.0ms2561×body1024valid
119.0ms1314×body512valid
73.0ms3166×body128valid
52.0ms292×body2048valid
38.0ms667×body256valid
Compiler

Compiled 455 to 337 computations (25.9% saved)

Profiling

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