Details

Time bar (total: 3.3s)

analyze7.0ms (0.2%)

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)

sample41.0ms (1.2%)

Algorithm
intervals
Results
18.0ms76×body1024valid
7.0ms48×body512valid
4.0ms105×body128valid
3.0ms11×body2048valid
1.0ms16×body256valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify170.0ms (5.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
01689
11689

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
38.1b
Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite25.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt_binary64_1805
30×*-un-lft-identity_binary64_1783
21×times-frac_binary64_1789
15×add-cube-cbrt_binary64_1818
10×difference-of-squares_binary64_1752
associate-/l*_binary64_1728
difference-of-sqr-1_binary64_1753 distribute-lft-out--_binary64_1735
add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821 add-log-exp_binary64_1822
cancel-sign-sub-inv_binary64_1749 associate-/r*_binary64_1727
flip3--_binary64_1787 associate-/l/_binary64_1730 flip--_binary64_1758 pow1_binary64_1844
div-sub_binary64_1788 div-inv_binary64_1780 diff-log_binary64_1875 cbrt-undiv_binary64_1817 frac-2neg_binary64_1794 div-exp_binary64_1834 clear-num_binary64_1782 sub-neg_binary64_1776
Counts
2 → 64
Calls

2 calls:

9.0ms
(-.f64 (exp.f64 x) 1)
8.0ms
(/.f64 (-.f64 (exp.f64 x) 1) x)

series47.0ms (1.4%)

Counts
2 → 6
Calls

2 calls:

29.0ms
(/.f64 (-.f64 (exp.f64 x) 1) x)
17.0ms
(-.f64 (exp.f64 x) 1)

simplify104.0ms (3.2%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
049591016
149591016

prune84.0ms (2.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New65570
Fresh000
Picked101
Done000
Total66571
Error
0.1b
Counts
71 → 5
Compiler

Compiled 907 to 500 computations (44.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x (+.f64 1/2 (*.f64 x 1/6)))
0.3b
(*.f64 x 1/6)

rewrite22.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64_1805
add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821 add-cube-cbrt_binary64_1818 associate-*l*_binary64_1724 *-un-lft-identity_binary64_1783 associate-*r*_binary64_1723 pow1_binary64_1844
associate-*r/_binary64_1725 cbrt-unprod_binary64_1816 prod-exp_binary64_1832 *-commutative_binary64_1714 pow-prod-down_binary64_1854 unswap-sqr_binary64_1751 add-log-exp_binary64_1822
distribute-lft-in_binary64_1732 flip-+_binary64_1757 distribute-rgt-in_binary64_1733 flip3-+_binary64_1786
Counts
2 → 40
Calls

2 calls:

12.0ms
(*.f64 x (+.f64 1/2 (*.f64 x 1/6)))
6.0ms
(*.f64 x 1/6)

series62.0ms (1.9%)

Counts
2 → 6
Calls

2 calls:

50.0ms
(*.f64 x (+.f64 1/2 (*.f64 x 1/6)))
12.0ms
(*.f64 x 1/6)

simplify128.0ms (3.9%)

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (114.0ms)

IterNodesCost
04923440
14923440

prune39.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New46046
Fresh044
Picked011
Done000
Total46551
Error
0.1b
Counts
51 → 5
Compiler

Compiled 659 to 513 computations (22.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (exp.f64 x) x)
3.8b
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))

rewrite28.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt_binary64_1805
33×*-un-lft-identity_binary64_1783
32×times-frac_binary64_1789
19×add-cube-cbrt_binary64_1818
13×cancel-sign-sub-inv_binary64_1749
div-inv_binary64_1780
difference-of-squares_binary64_1752
distribute-lft-out--_binary64_1735
add-cbrt-cube_binary64_1819 add-log-exp_binary64_1822
associate-/l*_binary64_1728 add-exp-log_binary64_1821 associate-/r*_binary64_1727 distribute-rgt-out--_binary64_1737
pow1_binary64_1844
flip3--_binary64_1787 sub-div_binary64_1790 diff-log_binary64_1875 frac-sub_binary64_1792 cbrt-undiv_binary64_1817 frac-2neg_binary64_1794 div-exp_binary64_1834 clear-num_binary64_1782 flip--_binary64_1758 sub-neg_binary64_1776
Counts
2 → 67
Calls

2 calls:

19.0ms
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
4.0ms
(/.f64 (exp.f64 x) x)

series37.0ms (1.1%)

Counts
2 → 6
Calls

2 calls:

20.0ms
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
16.0ms
(/.f64 (exp.f64 x) x)

simplify72.0ms (2.2%)

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05086901

prune50.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New71273
Fresh213
Picked101
Done011
Total74478
Error
0.1b
Counts
78 → 4
Compiler

Compiled 940 to 435 computations (53.7% saved)

localize13.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) x)
3.8b
(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
3.9b
(-.f64 (exp.f64 x) 1)

rewrite53.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt_binary64_1805
45×*-un-lft-identity_binary64_1783
40×log-pow_binary64_1872
35×exp-prod_binary64_1835
33×times-frac_binary64_1789
27×add-cube-cbrt_binary64_1818
12×difference-of-squares_binary64_1752
11×associate-/l*_binary64_1728
pow1_binary64_1844
log-prod_binary64_1869
difference-of-sqr-1_binary64_1753 cancel-sign-sub-inv_binary64_1749 distribute-lft-out--_binary64_1735
add-cbrt-cube_binary64_1819 add-exp-log_binary64_1821 add-log-exp_binary64_1822
exp-sum_binary64_1829
associate-/r*_binary64_1727
exp-diff_binary64_1831 sub-neg_binary64_1776 log-div_binary64_1870
flip3--_binary64_1787 div-sub_binary64_1788 div-inv_binary64_1780 diff-log_binary64_1875 cbrt-undiv_binary64_1817 frac-2neg_binary64_1794 div-exp_binary64_1834 clear-num_binary64_1782 flip--_binary64_1758 rem-log-exp_binary64_1824
Counts
3 → 102
Calls

3 calls:

18.0ms
(/.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) x)
11.0ms
(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
9.0ms
(-.f64 (exp.f64 x) 1)

series269.0ms (8.2%)

Counts
3 → 9
Calls

3 calls:

142.0ms
(/.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) x)
112.0ms
(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
14.0ms
(-.f64 (exp.f64 x) 1)

simplify74.0ms (2.2%)

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
057921537

prune122.0ms (3.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1101111
Fresh022
Picked011
Done011
Total1105115
Error
0.1b
Counts
115 → 5
Compiler

Compiled 1376 to 779 computations (43.4% saved)

regimes86.0ms (2.6%)

Accuracy

Total 0.5b remaining (91.8%)

Threshold costs 0.5b (91.8%)

Compiler

Compiled 430 to 320 computations (25.6% saved)

bsearch1.0ms (0%)

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04539
14539

end0.0ms (0%)

sample1.7s (52.4%)

Algorithm
intervals
Results
661.0ms2619×body1024valid
206.0ms1389×body512valid
116.0ms3004×body128valid
86.0ms277×body2048valid
63.0ms711×body256valid
Compiler

Compiled 263 to 195 computations (25.9% saved)

Profiling

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