Details

Time bar (total: 2.4s)

analyze293.0ms (12%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01118
11118
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%3
25%74.9%0.1%4
25%74.9%0.1%4
25%74.9%0.1%5
25%74.9%0.1%5
43.7%50%6.3%6
43.7%50%6.3%6
43.7%43.7%12.6%7
43.7%43.7%12.6%7
59.3%26.5%14.1%8
59.3%26.5%14.1%8
59.3%22.6%18%9
59.3%22.6%18%9
67.1%13.7%19.2%10
67.1%13.7%19.2%10
67.1%11.5%21.4%11
67.1%11.5%21.4%11
71%6.9%22%12
71%6.9%22%12
71%5.8%23.2%13
71%5.8%23.2%13
73%3.5%23.5%14
73%3.5%23.5%14
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample203.0ms (8.3%)

Algorithm
intervals
Results
15.0ms512×body128valid
4.0ms174×body128nan
Compiler

Compiled 2421 to 2765 computations (-14.2% saved)

simplify7.0ms (0.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
079
179

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
22.8b
Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x x) y)
21.3b
(sqrt.f64 (+.f64 (*.f64 x x) y))

rewrite29.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
22.8b
Rules
add-log-exp_binary64_11711 add-sqr-sqrt_binary64_11694
pow1_binary64_11733 add-cube-cbrt_binary64_11707 sqrt-prod_binary64_11688 *-un-lft-identity_binary64_11672
add-exp-log_binary64_11710 add-cbrt-cube_binary64_11708 flip3-+_binary64_11675 sqrt-div_binary64_11689 flip-+_binary64_11646
pow1/2_binary64_11752 sqrt-pow1_binary64_11690 rem-sqrt-square_binary64_11685 sum-log_binary64_11763 +-commutative_binary64_11602
Counts
2 → 26
Calls

2 calls:

4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
4.0ms
(+.f64 (*.f64 x x) y)
Compiler

Compiled 355 to 89 computations (74.9% saved)

series193.0ms (7.9%)

Error
0.0b
Counts
2 → 23
Calls

2 calls:

93.0ms
(+.f64 (*.f64 x x) y)
83.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
Compiler

Compiled 439 to 376 computations (14.4% saved)

simplify71.0ms (2.9%)

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
05049545

prune37.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New47249
Fresh000
Picked011
Done000
Total47350
Error
0b
Counts
50 → 3
Compiler

Compiled 476 to 172 computations (63.9% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (/.f64 y x) (+.f64 (*.f64 (/.f64 y x) (/.f64 1/8 x)) -1/2))
0.2b
(*.f64 (/.f64 y x) (/.f64 1/8 x))

rewrite144.0ms (5.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
41×add-sqr-sqrt_binary64_11694
32×times-frac_binary64_11678
26×associate-*l*_binary64_11613
24×add-cube-cbrt_binary64_11707 *-un-lft-identity_binary64_11672
19×add-exp-log_binary64_11710 add-cbrt-cube_binary64_11708
16×associate-*r*_binary64_11612
pow1_binary64_11733 prod-exp_binary64_11721 cbrt-unprod_binary64_11705 unswap-sqr_binary64_11640
div-exp_binary64_11723 cbrt-undiv_binary64_11706
frac-times_binary64_11682 associate-*r/_binary64_11614 div-inv_binary64_11669
pow-prod-down_binary64_11743 add-log-exp_binary64_11711 associate-*l/_binary64_11615 *-commutative_binary64_11603 flip3-+_binary64_11675 flip-+_binary64_11646
distribute-rgt-in_binary64_11622 distribute-lft-in_binary64_11621
Counts
2 → 88
Calls

2 calls:

13.0ms
(*.f64 (/.f64 y x) (+.f64 (*.f64 (/.f64 y x) (/.f64 1/8 x)) -1/2))
11.0ms
(*.f64 (/.f64 y x) (/.f64 1/8 x))
Compiler

Compiled 2155 to 1063 computations (50.7% saved)

series452.0ms (18.4%)

Error
0b
Counts
2 → 18
Calls

2 calls:

315.0ms
(*.f64 (/.f64 y x) (+.f64 (*.f64 (/.f64 y x) (/.f64 1/8 x)) -1/2))
122.0ms
(*.f64 (/.f64 y x) (/.f64 1/8 x))
Compiler

Compiled 684 to 516 computations (24.6% saved)

simplify45.0ms (1.8%)

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
050831804

prune113.0ms (4.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh011
Picked011
Done011
Total1063109
Error
0b
Counts
109 → 3
Compiler

Compiled 2175 to 1013 computations (53.4% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.3%)

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune0.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Error
0b
Counts
3 → 3
Compiler

Compiled 0 to 0 computations (0% saved)

regimes125.0ms (5.1%)

Accuracy

Total 0.4b remaining (97.5%)

Threshold costs 0.4b (97.5%)

Compiler

Compiled 191 to 181 computations (5.2% saved)

bsearch23.0ms (0.9%)

Steps
ItersRangePoint
2
6.948726225239438e+75
7.939924295226576e+75
7.46012026194659e+75
10
-8.697540404916367e+158
-3.4625865862344625e+147
-1.354971559255833e+154
Compiler

Compiled 1 to 2 computations (-100% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02225
12225

end0.0ms (0%)

sample688.0ms (28.1%)

Algorithm
intervals
Results
210.0ms8000×body128valid
77.0ms2660×body128nan
Compiler

Compiled 82 to 66 computations (19.5% saved)

Profiling

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