Details

Time bar (total: 1.3s)

analyze2.0ms (0.2%)

Algorithm
search
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)

sample9.0ms (0.7%)

Algorithm
intervals
Results
5.0ms256×body128valid
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify162.0ms (12.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0347
1347

prune2.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged 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))

rewrite10.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64_2794 *-un-lft-identity_binary64_2773
18×times-frac_binary64_2779
12×add-cube-cbrt_binary64_2805
difference-of-squares_binary64_2742
associate-/r*_binary64_2719
distribute-lft-out--_binary64_2727
add-exp-log_binary64_2808 add-cbrt-cube_binary64_2806 associate-/l*_binary64_2720
associate-/r/_binary64_2721
cbrt-undiv_binary64_2804 frac-2neg_binary64_2784 pow1_binary64_2831 div-inv_binary64_2770 flip3--_binary64_2777 div-exp_binary64_2821 flip--_binary64_2748 add-log-exp_binary64_2809 clear-num_binary64_2772
Counts
1 → 41
Calls

1 calls:

7.0ms
(/.f64 x (-.f64 1 x))

series28.0ms (2.2%)

Counts
1 → 3
Calls

1 calls:

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

simplify84.0ms (6.6%)

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
04842617
14842617

prune34.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New42244
Fresh000
Picked011
Done000
Total42345

Merged error: 0b

Counts
45 → 3
Compiler

Compiled 528 to 320 computations (39.4% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 1 x))
15.8b
(/.f64 x (-.f64 1 (*.f64 x x)))

rewrite27.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt_binary64_2794
31×times-frac_binary64_2779 *-un-lft-identity_binary64_2773
22×add-cube-cbrt_binary64_2805
21×associate-*l*_binary64_2716
14×difference-of-squares_binary64_2742
add-exp-log_binary64_2808 add-cbrt-cube_binary64_2806
associate-/r*_binary64_2719
associate-/r/_binary64_2721 pow1_binary64_2831 associate-*r*_binary64_2715
associate-/l*_binary64_2720
cbrt-unprod_binary64_2803 cbrt-undiv_binary64_2804 unswap-sqr_binary64_2741 div-inv_binary64_2770 flip3-+_binary64_2776 flip3--_binary64_2777 div-exp_binary64_2821 flip--_binary64_2748 add-log-exp_binary64_2809 associate-*r/_binary64_2717 prod-exp_binary64_2819 frac-times_binary64_2783 flip-+_binary64_2747
frac-2neg_binary64_2784 distribute-rgt-in_binary64_2725 pow-prod-down_binary64_2841 distribute-lft-out_binary64_2726 *-commutative_binary64_2706 distribute-lft-in_binary64_2724 clear-num_binary64_2772 associate-*l/_binary64_2718
Counts
2 → 84
Calls

2 calls:

14.0ms
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 1 x))
6.0ms
(/.f64 x (-.f64 1 (*.f64 x x)))

series95.0ms (7.4%)

Counts
2 → 6
Calls

2 calls:

52.0ms
(/.f64 x (-.f64 1 (*.f64 x x)))
43.0ms
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 1 x))

simplify71.0ms (5.5%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049941506
149941506

prune77.0ms (6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New90090
Fresh011
Picked011
Done011
Total90393

Merged error: 0b

Counts
93 → 3
Compiler

Compiled 1589 to 955 computations (39.9% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 (sqrt.f64 x) (-.f64 1 x))
0.2b
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 1 x)))

rewrite47.0ms (3.7%)

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt_binary64_2794
83×*-un-lft-identity_binary64_2773
76×times-frac_binary64_2779
47×sqrt-prod_binary64_2788
44×add-cube-cbrt_binary64_2805
42×associate-*r*_binary64_2715
26×difference-of-squares_binary64_2742
13×distribute-lft-out--_binary64_2727
add-exp-log_binary64_2808 add-cbrt-cube_binary64_2806
unswap-sqr_binary64_2741 associate-*l*_binary64_2716 associate-/r*_binary64_2719 associate-/l*_binary64_2720
associate-/r/_binary64_2721 pow1_binary64_2831
cbrt-unprod_binary64_2803 cbrt-undiv_binary64_2804 div-inv_binary64_2770 flip3--_binary64_2777 div-exp_binary64_2821 flip--_binary64_2748 add-log-exp_binary64_2809 prod-exp_binary64_2819
frac-2neg_binary64_2784 pow-prod-down_binary64_2841 *-commutative_binary64_2706 clear-num_binary64_2772 associate-*r/_binary64_2717
Counts
2 → 130
Calls

2 calls:

22.0ms
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 1 x)))
8.0ms
(/.f64 (sqrt.f64 x) (-.f64 1 x))

series89.0ms (7%)

Counts
2 → 6
Calls

2 calls:

48.0ms
(/.f64 (sqrt.f64 x) (-.f64 1 x))
41.0ms
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 1 x)))

simplify87.0ms (6.8%)

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
051262349

prune103.0ms (8.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1360136
Fresh000
Picked011
Done022
Total1363139

Merged error: 0b

Counts
139 → 3
Compiler

Compiled 2243 to 1137 computations (49.3% saved)

regimes15.0ms (1.2%)

Compiler

Compiled 62 to 46 computations (25.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0157
1157

end0.0ms (0%)

sample313.0ms (24.5%)

Algorithm
intervals
Results
149.0ms8000×body128valid
Compiler

Compiled 36 to 28 computations (22.2% saved)

Profiling

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