Details

Time bar (total: 7.4s)

analyze1.3s (17%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
3.1%71.7%25.1%9
4.7%69.8%25.5%10
7%66.9%26.1%11
10.9%61.5%27.6%12
11.1%47%41.9%13
12.8%44.4%42.8%14
Compiler

Compiled 20 to 20 computations (0% saved)

sample90.0ms (1.2%)

Algorithm
intervals
Results
35.0ms354×body128nan
27.0ms256×body128valid
Compiler

Compiled 39 to 43 computations (-10.3% saved)

simplify299.0ms (4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (151.0ms)

IterNodesCost
0539820

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
1.0b
Counts
2 → 1
Compiler

Compiled 32 to 32 computations (0% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b
(/.f64 x (*.f64 y 27))
1.0b
(*.f64 (/.f64 1 3) (acos.f64 (*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))))
4.4b
(*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))
5.8b
(/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2))

rewrite72.0ms (1%)

Algorithm
rewrite-expression-head
Rules
92×add-exp-log_binary64_12392
88×add-cbrt-cube_binary64_12390
38×prod-exp_binary64_12403
36×cbrt-unprod_binary64_12387
28×div-exp_binary64_12405 add-sqr-sqrt_binary64_12376
27×cbrt-undiv_binary64_12388
18×associate-*l*_binary64_12295 *-un-lft-identity_binary64_12354
17×add-cube-cbrt_binary64_12389
16×times-frac_binary64_12360
associate-*r*_binary64_12294
pow1_binary64_12415
unswap-sqr_binary64_12322
associate-/l*_binary64_12299 div-inv_binary64_12351 add-log-exp_binary64_12393 sqrt-prod_binary64_12370
pow-prod-down_binary64_12425 clear-num_binary64_12353 associate-/r*_binary64_12298 frac-2neg_binary64_12365 associate-*l/_binary64_12297 *-commutative_binary64_12285
rec-exp_binary64_12404 associate-/l/_binary64_12301 1-exp_binary64_12398 associate-*r/_binary64_12296
Counts
4 → 127
Calls

4 calls:

22.0ms
(*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))
10.0ms
(/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2))
7.0ms
(*.f64 (/.f64 1 3) (acos.f64 (*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))))
5.0ms
(/.f64 x (*.f64 y 27))

series195.0ms (2.6%)

Counts
4 → 12
Calls

4 calls:

101.0ms
(*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))
45.0ms
(*.f64 (/.f64 1 3) (acos.f64 (*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))))
36.0ms
(/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2))
12.0ms
(/.f64 x (*.f64 y 27))

simplify96.0ms (1.3%)

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049192639
149192639

prune511.0ms (6.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1372139
Fresh000
Picked101
Done000
Total1382140
Error
0b
Counts
140 → 2
Compiler

Compiled 3065 to 2217 computations (27.7% saved)

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z))
0.4b
(/.f64 x (*.f64 y 27))
4.4b
(*.f64 (*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))
5.8b
(/.f64 (/.f64 x (*.f64 y 27)) z)

rewrite68.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
67×times-frac_binary64_12360
52×add-cbrt-cube_binary64_12390 add-exp-log_binary64_12392
44×add-sqr-sqrt_binary64_12376
39×*-un-lft-identity_binary64_12354 add-cube-cbrt_binary64_12389
31×associate-*r*_binary64_12294
17×cbrt-unprod_binary64_12387 cbrt-undiv_binary64_12388 prod-exp_binary64_12403 div-exp_binary64_12405
11×pow1_binary64_12415
10×associate-/l*_binary64_12299 div-inv_binary64_12351
pow-prod-down_binary64_12425 associate-/r*_binary64_12298 add-log-exp_binary64_12393 associate-*l*_binary64_12295
sqrt-prod_binary64_12370
clear-num_binary64_12353 frac-2neg_binary64_12365 associate-*r/_binary64_12296 unswap-sqr_binary64_12322 *-commutative_binary64_12285
associate-/l/_binary64_12301 associate-*l/_binary64_12297
Counts
4 → 145
Calls

4 calls:

24.0ms
(*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z))
12.0ms
(*.f64 (*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))
7.0ms
(/.f64 (/.f64 x (*.f64 y 27)) z)
4.0ms
(/.f64 x (*.f64 y 27))

series236.0ms (3.2%)

Counts
4 → 12
Calls

4 calls:

147.0ms
(*.f64 (*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))
36.0ms
(*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z))
32.0ms
(/.f64 (/.f64 x (*.f64 y 27)) z)
20.0ms
(/.f64 x (*.f64 y 27))

simplify109.0ms (1.5%)

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
049422305
149422305

prune353.0ms (4.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1570157
Fresh011
Picked011
Done000
Total1572159
Error
0b
Counts
159 → 2
Compiler

Compiled 4663 to 3459 computations (25.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b
(/.f64 x (*.f64 y 27))
1.0b
(/.f64 (acos.f64 (*.f64 (*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))) 3)
4.4b
(*.f64 (*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))
5.8b
(/.f64 (/.f64 x (*.f64 y 27)) z)

rewrite63.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
45×times-frac_binary64_12360
40×add-cbrt-cube_binary64_12390 add-exp-log_binary64_12392
32×*-un-lft-identity_binary64_12354 add-sqr-sqrt_binary64_12376 add-cube-cbrt_binary64_12389
13×associate-/l*_binary64_12299 cbrt-undiv_binary64_12388 div-exp_binary64_12405
12×cbrt-unprod_binary64_12387 prod-exp_binary64_12403
pow1_binary64_12415
associate-/r*_binary64_12298 div-inv_binary64_12351
associate-*r*_binary64_12294
add-log-exp_binary64_12393
pow-prod-down_binary64_12425 clear-num_binary64_12353 frac-2neg_binary64_12365 sqrt-prod_binary64_12370
div-sub_binary64_12359 associate-/l/_binary64_12301 associate-*l*_binary64_12295 associate-*l/_binary64_12297 associate-*r/_binary64_12296 *-commutative_binary64_12285 acos-asin_binary64_12535
Counts
4 → 125
Calls

4 calls:

20.0ms
(*.f64 (*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))
9.0ms
(/.f64 x (*.f64 y 27))
7.0ms
(/.f64 (/.f64 x (*.f64 y 27)) z)
7.0ms
(/.f64 (acos.f64 (*.f64 (*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))) 3)

series234.0ms (3.2%)

Counts
4 → 12
Calls

4 calls:

131.0ms
(*.f64 (*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))
43.0ms
(/.f64 (acos.f64 (*.f64 (*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))) 3)
41.0ms
(/.f64 (/.f64 x (*.f64 y 27)) z)
19.0ms
(/.f64 x (*.f64 y 27))

simplify97.0ms (1.3%)

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049402497
149402497

prune190.0ms (2.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1370137
Fresh000
Picked011
Done011
Total1372139
Error
0b
Counts
139 → 2
Compiler

Compiled 2732 to 1688 computations (38.2% saved)

regimes532.0ms (7.2%)

Accuracy

Total 0.3b remaining (87.1%)

Threshold costs 0.3b (87.1%)

Compiler

Compiled 3598 to 3650 computations (-1.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02638
12638

end0.0ms (0%)

sample2.9s (39.6%)

Algorithm
intervals
Results
954.0ms10359×body128nan
767.0ms8000×body128valid
Compiler

Compiled 325 to 329 computations (-1.2% saved)

Profiling

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