Details

Time bar (total: 2.2s)

analyze68.0ms (3.2%)

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
25%50%25.1%6
25%31.2%43.8%7
31.2%25%43.8%8
39%17.2%43.8%9
42.9%13.3%43.8%10
47.2%9%43.8%11
49.4%6.8%43.8%12
51.6%4.6%43.8%13
52.7%3.5%43.8%14
Compiler

Compiled 16 to 8 computations (50% saved)

sample14.0ms (0.7%)

Algorithm
intervals
Results
8.0ms256×body128valid
Compiler

Compiled 31 to 17 computations (45.2% saved)

simplify168.0ms (7.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03913
13913

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))
0.2b
(*.f64 y (*.f64 y 3))

rewrite12.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64_6515 pow1_binary64_6538 add-cbrt-cube_binary64_6513
add-log-exp_binary64_6516
*-un-lft-identity_binary64_6480 prod-exp_binary64_6526 pow-prod-down_binary64_6548 cbrt-unprod_binary64_6510 associate-*l*_binary64_6423 add-sqr-sqrt_binary64_6501 add-cube-cbrt_binary64_6512
flip3-+_binary64_6483 associate-*r*_binary64_6422 +-commutative_binary64_6412 flip-+_binary64_6454 sum-log_binary64_6568 *-commutative_binary64_6413
Counts
2 → 29
Calls

2 calls:

5.0ms
(*.f64 y (*.f64 y 3))
5.0ms
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))

series90.0ms (4.2%)

Counts
2 → 6
Calls

2 calls:

53.0ms
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))
37.0ms
(*.f64 y (*.f64 y 3))

simplify77.0ms (3.6%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04832410
14832410

prune31.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New31435
Fresh011
Picked011
Done000
Total31637

Merged error: 0.0b

Counts
37 → 6
Compiler

Compiled 525 to 302 computations (42.5% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite18.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
13×add-log-exp_binary64_6516
sum-log_binary64_6568
flip3-+_binary64_6483 add-exp-log_binary64_6515 *-un-lft-identity_binary64_6480 pow1_binary64_6538 +-commutative_binary64_6412 add-sqr-sqrt_binary64_6501 flip-+_binary64_6454 add-cube-cbrt_binary64_6512 add-cbrt-cube_binary64_6513
associate-+l+_binary64_6415
Counts
2 → 25
Calls

2 calls:

11.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
4.0ms
(+.f64 (*.f64 x x) (*.f64 y y))

series93.0ms (4.3%)

Counts
2 → 6
Calls

2 calls:

54.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
38.0ms
(+.f64 (*.f64 x x) (*.f64 y y))

simplify75.0ms (3.5%)

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04861495
14861495

prune31.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New30131
Fresh044
Picked011
Done011
Total30737

Merged error: 0.0b

Counts
37 → 7
Compiler

Compiled 644 to 208 computations (67.7% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 y (*.f64 y 3))
0.4b
(*.f64 (sqrt.f64 (*.f64 y (*.f64 y 3))) (sqrt.f64 (*.f64 y (*.f64 y 3))))
17.5b
(sqrt.f64 (*.f64 y (*.f64 y 3)))
17.5b
(sqrt.f64 (*.f64 y (*.f64 y 3)))

rewrite38.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
148×pow1_binary64_6538
80×pow-prod-down_binary64_6548
66×sqrt-pow1_binary64_6497
17×pow-prod-up_binary64_6547
14×pow1/2_binary64_6557
11×add-exp-log_binary64_6515 add-sqr-sqrt_binary64_6501 pow-sqr_binary64_6453 add-cbrt-cube_binary64_6513
*-un-lft-identity_binary64_6480 add-cube-cbrt_binary64_6512
associate-*l*_binary64_6423
sqrt-prod_binary64_6495
associate-*r*_binary64_6422
prod-exp_binary64_6526 swap-sqr_binary64_6447 cbrt-unprod_binary64_6510 add-log-exp_binary64_6516
*-commutative_binary64_6413
unswap-sqr_binary64_6448 pow-plus_binary64_6540 pow2_binary64_6558 sqrt-unprod_binary64_6499 rem-square-sqrt_binary64_6492
Counts
4 → 108
Calls

4 calls:

14.0ms
(*.f64 (sqrt.f64 (*.f64 y (*.f64 y 3))) (sqrt.f64 (*.f64 y (*.f64 y 3))))
5.0ms
(*.f64 y (*.f64 y 3))
4.0ms
(sqrt.f64 (*.f64 y (*.f64 y 3)))
4.0ms
(sqrt.f64 (*.f64 y (*.f64 y 3)))

series219.0ms (10.2%)

Counts
4 → 12
Calls

4 calls:

93.0ms
(*.f64 (sqrt.f64 (*.f64 y (*.f64 y 3))) (sqrt.f64 (*.f64 y (*.f64 y 3))))
47.0ms
(sqrt.f64 (*.f64 y (*.f64 y 3)))
45.0ms
(sqrt.f64 (*.f64 y (*.f64 y 3)))
33.0ms
(*.f64 y (*.f64 y 3))

simplify67.0ms (3.1%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05095737

prune112.0ms (5.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1182120
Fresh224
Picked101
Done022
Total1216127

Merged error: 0.0b

Counts
127 → 6
Compiler

Compiled 1913 to 1195 computations (37.5% saved)

localize14.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 y (*.f64 y 3))
0.4b
(*.f64 (fabs.f64 (*.f64 y (sqrt.f64 3))) (sqrt.f64 (*.f64 y (*.f64 y 3))))
0.4b
(*.f64 y (sqrt.f64 3))
17.5b
(sqrt.f64 (*.f64 y (*.f64 y 3)))

rewrite28.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
19×pow1_binary64_6538
16×add-sqr-sqrt_binary64_6501
13×add-exp-log_binary64_6515 add-cbrt-cube_binary64_6513
11×associate-*r*_binary64_6422
10×*-un-lft-identity_binary64_6480 add-cube-cbrt_binary64_6512
associate-*l*_binary64_6423
pow-prod-down_binary64_6548
sqrt-prod_binary64_6495
prod-exp_binary64_6526 cbrt-unprod_binary64_6510
add-log-exp_binary64_6516
unswap-sqr_binary64_6448 sqrt-pow1_binary64_6497 *-commutative_binary64_6413
pow1/2_binary64_6557
Counts
4 → 71
Calls

4 calls:

7.0ms
(*.f64 (fabs.f64 (*.f64 y (sqrt.f64 3))) (sqrt.f64 (*.f64 y (*.f64 y 3))))
5.0ms
(*.f64 y (*.f64 y 3))
5.0ms
(*.f64 y (sqrt.f64 3))
4.0ms
(sqrt.f64 (*.f64 y (*.f64 y 3)))

series234.0ms (10.8%)

Counts
4 → 12
Calls

4 calls:

98.0ms
(*.f64 (fabs.f64 (*.f64 y (sqrt.f64 3))) (sqrt.f64 (*.f64 y (*.f64 y 3))))
53.0ms
(sqrt.f64 (*.f64 y (*.f64 y 3)))
47.0ms
(*.f64 y (sqrt.f64 3))
35.0ms
(*.f64 y (*.f64 y 3))

simplify76.0ms (3.5%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04997755
14997755

prune80.0ms (3.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New83083
Fresh033
Picked011
Done022
Total83689

Merged error: 0.0b

Counts
89 → 6
Compiler

Compiled 1507 to 1001 computations (33.6% saved)

regimes70.0ms (3.3%)

Compiler

Compiled 546 to 389 computations (28.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01113
11113

end0.0ms (0%)

sample514.0ms (23.8%)

Algorithm
intervals
Results
232.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 136 to 95 computations (30.1% saved)

Profiling

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