Details

Time bar (total: 2.8s)

analyze78.0ms (2.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
37.5%62.4%0.1%6
43.7%43.7%12.6%7
53.1%34.3%12.6%8
57.8%23.4%18.8%9
63.2%18%18.8%10
66%12.1%22%11
68.9%9.2%22%12
70.3%6.1%23.5%13
71.9%4.6%23.5%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.5%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify101.0ms (3.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
03210
13210

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
5.1b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

4.8b
(*.f64 x (+.f64 1 (*.f64 y y)))

rewrite29.0ms (1%)

Algorithm
rewrite-expression-head
Error
5.0b
Rules
add-sqr-sqrt_binary64_14763
pow1_binary64_14802 add-exp-log_binary64_14779 add-cbrt-cube_binary64_14777 add-cube-cbrt_binary64_14776 *-un-lft-identity_binary64_14741 associate-*l*_binary64_14682 associate-*r*_binary64_14681
associate-*r/_binary64_14683
pow-prod-down_binary64_14812 prod-exp_binary64_14790 add-log-exp_binary64_14780 cbrt-unprod_binary64_14774 unswap-sqr_binary64_14709 distribute-rgt-in_binary64_14691 distribute-lft-in_binary64_14690 flip3-+_binary64_14744 flip-+_binary64_14715 *-commutative_binary64_14672
Counts
1 → 22
Calls

1 calls:

5.0ms
(*.f64 x (+.f64 1 (*.f64 y y)))
Compiler

Compiled 318 to 166 computations (47.8% saved)

series88.0ms (3.1%)

Error
4.9b
Counts
1 → 9
Calls

1 calls:

83.0ms
(*.f64 x (+.f64 1 (*.f64 y y)))
Compiler

Compiled 148 to 125 computations (15.5% saved)

simplify75.0ms (2.6%)

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04921343
14921343

prune31.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New27431
Fresh000
Picked101
Done000
Total28432
Error
4.9b
Counts
32 → 4
Compiler

Compiled 362 to 190 computations (47.5% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 x (sqrt.f64 (+.f64 1 (*.f64 y y))))
0.1b
(*.f64 (*.f64 x (sqrt.f64 (+.f64 1 (*.f64 y y)))) (sqrt.f64 (+.f64 1 (*.f64 y y))))
4.7b
(sqrt.f64 (+.f64 1 (*.f64 y y)))
4.7b
(sqrt.f64 (+.f64 1 (*.f64 y y)))

rewrite127.0ms (4.5%)

Algorithm
rewrite-expression-head
Error
4.9b
Rules
18×sqrt-div_binary64_14758
17×add-sqr-sqrt_binary64_14763
13×pow1_binary64_14802 sqrt-prod_binary64_14757
12×associate-*r*_binary64_14681
11×add-exp-log_binary64_14779 add-cbrt-cube_binary64_14777 add-cube-cbrt_binary64_14776 *-un-lft-identity_binary64_14741
10×associate-*r/_binary64_14683
flip3-+_binary64_14744 flip-+_binary64_14715
add-log-exp_binary64_14780 pow-prod-down_binary64_14812 prod-exp_binary64_14790 cbrt-unprod_binary64_14774 frac-times_binary64_14751 associate-*l*_binary64_14682
pow1/2_binary64_14821 sqrt-pow1_binary64_14759 rem-sqrt-square_binary64_14754 associate-*l/_binary64_14684 *-commutative_binary64_14672 unswap-sqr_binary64_14709
Counts
4 → 83
Calls

4 calls:

10.0ms
(*.f64 (*.f64 x (sqrt.f64 (+.f64 1 (*.f64 y y)))) (sqrt.f64 (+.f64 1 (*.f64 y y))))
7.0ms
(*.f64 x (sqrt.f64 (+.f64 1 (*.f64 y y))))
3.0ms
(sqrt.f64 (+.f64 1 (*.f64 y y)))
3.0ms
(sqrt.f64 (+.f64 1 (*.f64 y y)))
Compiler

Compiled 2138 to 1212 computations (43.3% saved)

series300.0ms (10.6%)

Error
4.9b
Counts
4 → 42
Calls

4 calls:

101.0ms
(*.f64 x (sqrt.f64 (+.f64 1 (*.f64 y y))))
72.0ms
(*.f64 (*.f64 x (sqrt.f64 (+.f64 1 (*.f64 y y)))) (sqrt.f64 (+.f64 1 (*.f64 y y))))
46.0ms
(sqrt.f64 (+.f64 1 (*.f64 y y)))
46.0ms
(sqrt.f64 (+.f64 1 (*.f64 y y)))
Compiler

Compiled 1565 to 1184 computations (24.3% saved)

simplify98.0ms (3.5%)

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
052081736

prune119.0ms (4.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1241125
Fresh033
Picked011
Done000
Total1245129
Error
4.9b
Counts
129 → 5
Compiler

Compiled 2286 to 1345 computations (41.2% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 x (*.f64 y y)))
9.1b
(*.f64 x (*.f64 y y))

rewrite29.0ms (1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64_14802 add-exp-log_binary64_14779 add-cbrt-cube_binary64_14777
add-log-exp_binary64_14780 add-sqr-sqrt_binary64_14763
pow-prod-down_binary64_14812 prod-exp_binary64_14790 add-cube-cbrt_binary64_14776 cbrt-unprod_binary64_14774 *-un-lft-identity_binary64_14741 associate-*l*_binary64_14682
unswap-sqr_binary64_14709 associate-*r*_binary64_14681 *-commutative_binary64_14672 sum-log_binary64_14832 flip3-+_binary64_14744 flip-+_binary64_14715 +-commutative_binary64_14671
Counts
2 → 30
Calls

2 calls:

5.0ms
(*.f64 x (*.f64 y y))
4.0ms
(+.f64 x (*.f64 x (*.f64 y y)))
Compiler

Compiled 409 to 108 computations (73.6% saved)

series140.0ms (4.9%)

Error
4.9b
Counts
2 → 15
Calls

2 calls:

74.0ms
(+.f64 x (*.f64 x (*.f64 y y)))
58.0ms
(*.f64 x (*.f64 y y))
Compiler

Compiled 274 to 221 computations (19.3% saved)

simplify98.0ms (3.5%)

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
04910451
14910451

prune27.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New43245
Fresh123
Picked011
Done101
Total45550
Error
0.0b
Counts
50 → 5
Compiler

Compiled 493 to 147 computations (70.2% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (*.f64 x y) y))
0.2b
(*.f64 (*.f64 x y) y)

rewrite31.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64_14802 add-exp-log_binary64_14779 add-cbrt-cube_binary64_14777
add-log-exp_binary64_14780
pow-prod-down_binary64_14812 prod-exp_binary64_14790 add-cube-cbrt_binary64_14776 cbrt-unprod_binary64_14774 add-sqr-sqrt_binary64_14763 *-un-lft-identity_binary64_14741 associate-*r*_binary64_14681
associate-*l*_binary64_14682 *-commutative_binary64_14672 sum-log_binary64_14832 flip3-+_binary64_14744 flip-+_binary64_14715 +-commutative_binary64_14671
Counts
2 → 29
Calls

2 calls:

5.0ms
(*.f64 (*.f64 x y) y)
3.0ms
(+.f64 x (*.f64 (*.f64 x y) y))
Compiler

Compiled 398 to 106 computations (73.4% saved)

series137.0ms (4.8%)

Error
0.0b
Counts
2 → 15
Calls

2 calls:

79.0ms
(+.f64 x (*.f64 (*.f64 x y) y))
50.0ms
(*.f64 (*.f64 x y) y)
Compiler

Compiled 274 to 221 computations (19.3% saved)

simplify68.0ms (2.4%)

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05023439

prune22.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New42244
Fresh213
Picked011
Done011
Total44549
Error
0.0b
Counts
49 → 5
Compiler

Compiled 424 to 104 computations (75.5% saved)

regimes305.0ms (10.8%)

Accuracy

Total 0.1b remaining (87.8%)

Threshold costs 0.1b (87.8%)

Compiler

Compiled 3155 to 2221 computations (29.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0910
1910

end0.0ms (0%)

sample886.0ms (31.4%)

Algorithm
intervals
Results
182.0ms8000×body128valid
4.0ms193×body128invalid
Compiler

Compiled 514 to 362 computations (29.6% saved)

Profiling

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