Details

Time bar (total: 2.4s)

analyze106.0ms (4.4%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01689
11689
011
111
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)

sample26.0ms (1.1%)

Algorithm
intervals
Results
11.0ms72×body1024valid
4.0ms43×body512valid
3.0ms111×body128valid
1.0ms24×body256valid
1.0msbody2048valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify15.0ms (0.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (10.0ms)

IterNodesCost
01689
11689

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
38.0b
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)
5.6b
(-.f64 (exp.f64 x) 1)

rewrite17.0ms (0.7%)

Algorithm
rewrite-expression-head
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
distribute-lft-out--_binary64_2758 difference-of-sqr-1_binary64_2776
add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842 add-log-exp_binary64_2845
cancel-sign-sub-inv_binary64_2772 associate-/r*_binary64_2750
associate-/l/_binary64_2753 flip3--_binary64_2810 flip--_binary64_2781 pow1_binary64_2867
div-inv_binary64_2803 div-exp_binary64_2857 cbrt-undiv_binary64_2840 div-sub_binary64_2811 diff-log_binary64_2898 sub-neg_binary64_2799 clear-num_binary64_2805 frac-2neg_binary64_2817
Counts
2 → 64
Calls

2 calls:

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

series41.0ms (1.7%)

Counts
2 → 6
Calls

2 calls:

32.0ms
(/.f64 (-.f64 (exp.f64 x) 1) x)
9.0ms
(-.f64 (exp.f64 x) 1)

simplify85.0ms (3.5%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
049591016
149591016

prune69.0ms (2.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New66470
Fresh000
Picked101
Done000
Total67471
Error
0.1b
Counts
71 → 4
Compiler

Compiled 890 to 489 computations (45.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x (+.f64 1/2 (*.f64 x 1/6)))
0.4b
(*.f64 x 1/6)

rewrite12.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64_2828
associate-*l*_binary64_2747 add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842 *-un-lft-identity_binary64_2806 add-cube-cbrt_binary64_2841 associate-*r*_binary64_2746 pow1_binary64_2867
*-commutative_binary64_2737 prod-exp_binary64_2855 cbrt-unprod_binary64_2839 add-log-exp_binary64_2845 associate-*r/_binary64_2748 pow-prod-down_binary64_2877 unswap-sqr_binary64_2774
distribute-lft-in_binary64_2755 distribute-rgt-in_binary64_2756 flip-+_binary64_2780 flip3-+_binary64_2809
Counts
2 → 40
Calls

2 calls:

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

series56.0ms (2.3%)

Counts
2 → 6
Calls

2 calls:

42.0ms
(*.f64 x (+.f64 1/2 (*.f64 x 1/6)))
13.0ms
(*.f64 x 1/6)

simplify91.0ms (3.8%)

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
04923440
14923440

prune37.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New46046
Fresh033
Picked011
Done000
Total46450
Error
0.1b
Counts
50 → 4
Compiler

Compiled 642 to 502 computations (21.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (exp.f64 x) x)
4.9b
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))

rewrite27.0ms (1.1%)

Algorithm
rewrite-expression-head
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-cbrt-cube_binary64_2842 add-log-exp_binary64_2845
distribute-rgt-out--_binary64_2760 add-exp-log_binary64_2844 associate-/r*_binary64_2750 associate-/l*_binary64_2751
pow1_binary64_2867
div-exp_binary64_2857 flip3--_binary64_2810 cbrt-undiv_binary64_2840 diff-log_binary64_2898 sub-neg_binary64_2799 frac-sub_binary64_2815 flip--_binary64_2781 clear-num_binary64_2805 sub-div_binary64_2813 frac-2neg_binary64_2817
Counts
2 → 67
Calls

2 calls:

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

series39.0ms (1.6%)

Counts
2 → 6
Calls

2 calls:

21.0ms
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
18.0ms
(/.f64 (exp.f64 x) x)

simplify81.0ms (3.3%)

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
05086901

prune49.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New72173
Fresh022
Picked011
Done011
Total72577
Error
0.0b
Counts
77 → 5
Compiler

Compiled 938 to 433 computations (53.8% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 x (-.f64 (exp.f64 x) 1))
0.0b
(/.f64 1 (/.f64 x (-.f64 (exp.f64 x) 1)))
5.6b
(-.f64 (exp.f64 x) 1)

rewrite41.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
186×times-frac_binary64_2812
156×add-sqr-sqrt_binary64_2828
139×*-un-lft-identity_binary64_2806
88×add-cube-cbrt_binary64_2841
34×associate-/r*_binary64_2750 difference-of-squares_binary64_2775
17×distribute-lft-out--_binary64_2758 difference-of-sqr-1_binary64_2776
16×add-exp-log_binary64_2844
11×associate-/r/_binary64_2752
10×add-cbrt-cube_binary64_2842
div-exp_binary64_2857
div-inv_binary64_2803 flip3--_binary64_2810 flip--_binary64_2781 associate-/l*_binary64_2751
add-log-exp_binary64_2845
cbrt-undiv_binary64_2840 pow1_binary64_2867
cancel-sign-sub-inv_binary64_2772
1-exp_binary64_2850 rec-exp_binary64_2856 clear-num_binary64_2805 frac-2neg_binary64_2817
pow-flip_binary64_2880 diff-log_binary64_2898 sub-neg_binary64_2799 inv-pow_binary64_2891
Counts
3 → 195
Calls

3 calls:

11.0ms
(/.f64 1 (/.f64 x (-.f64 (exp.f64 x) 1)))
7.0ms
(/.f64 x (-.f64 (exp.f64 x) 1))
5.0ms
(-.f64 (exp.f64 x) 1)

series80.0ms (3.3%)

Counts
3 → 9
Calls

3 calls:

42.0ms
(/.f64 x (-.f64 (exp.f64 x) 1))
29.0ms
(/.f64 1 (/.f64 x (-.f64 (exp.f64 x) 1)))
9.0ms
(-.f64 (exp.f64 x) 1)

simplify106.0ms (4.3%)

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049553916
149553916

prune162.0ms (6.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2031204
Fresh112
Picked011
Done022
Total2045209
Error
0.0b
Counts
209 → 5
Compiler

Compiled 3184 to 1853 computations (41.8% saved)

regimes85.0ms (3.5%)

Accuracy

Total 0.2b remaining (94.3%)

Threshold costs 0.2b (94.3%)

Compiler

Compiled 516 to 384 computations (25.6% saved)

bsearch12.0ms (0.5%)

Steps
ItersRangePoint
6
-0.00209038265610982
-0.00014111394937434097
-0.002030655629030755
Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02943
12943

end0.0ms (0%)

sample1.2s (48%)

Algorithm
intervals
Results
424.0ms2678×body1024valid
118.0ms1306×body512valid
83.0ms3053×body128valid
46.0ms266×body2048valid
39.0ms697×body256valid
Compiler

Compiled 287 to 212 computations (26.1% saved)

Profiling

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