Details

Time bar (total: 5.4s)

analyze486.0ms (9%)

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
0%99.9%0.1%5
21.8%78%0.1%6
26.5%73.3%0.1%7
32%67.9%0.1%8
46.4%52.7%0.9%9
50.9%47.2%1.9%10
54.3%43.3%2.4%11
62.1%32.5%5.4%12
64.3%28.1%7.6%13
66.3%24.6%9.2%14
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample22.0ms (0.4%)

Algorithm
intervals
Results
9.0ms256×body128valid
1.0ms26×body128invalid
Compiler

Compiled 25 to 24 computations (4% saved)

simplify146.0ms (2.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
073815
173815

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 2
Compiler

Compiled 32 to 28 computations (12.5% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (+.f64 x 4) y)
0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
3.2b
(*.f64 (/.f64 x y) z)

rewrite109.0ms (2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
28×*-un-lft-identity_binary64_419
25×add-sqr-sqrt_binary64_441
22×times-frac_binary64_425
20×add-cube-cbrt_binary64_454
13×associate-*l*_binary64_360
10×add-exp-log_binary64_457 add-cbrt-cube_binary64_455
pow1_binary64_480 add-log-exp_binary64_458
distribute-lft-out_binary64_370 associate-/l*_binary64_364
associate-*l/_binary64_362 associate-*r*_binary64_359 associate-/r*_binary64_363
div-exp_binary64_470 prod-exp_binary64_468 cbrt-unprod_binary64_452 cbrt-undiv_binary64_453 unswap-sqr_binary64_387 div-inv_binary64_416 associate-/l/_binary64_366
pow-prod-down_binary64_490 *-commutative_binary64_350 diff-log_binary64_511 frac-sub_binary64_428 sub-div_binary64_426 flip3--_binary64_423 sub-neg_binary64_412 flip--_binary64_394 cancel-sign-sub-inv_binary64_385 frac-2neg_binary64_430 clear-num_binary64_418 flip3-+_binary64_422 flip-+_binary64_393
Counts
3 → 79
Calls

3 calls:

10.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
7.0ms
(*.f64 (/.f64 x y) z)
6.0ms
(/.f64 (+.f64 x 4) y)
Compiler

Compiled 1545 to 746 computations (51.7% saved)

series420.0ms (7.8%)

Error
0.0b
Counts
3 → 33
Calls

3 calls:

235.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
100.0ms
(*.f64 (/.f64 x y) z)
61.0ms
(/.f64 (+.f64 x 4) y)
Compiler

Compiled 1124 to 782 computations (30.4% saved)

simplify70.0ms (1.3%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
051711334

prune101.0ms (1.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1057112
Fresh011
Picked101
Done000
Total1068114
Error
0b
Counts
114 → 8
Compiler

Compiled 1897 to 924 computations (51.3% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 y)
0.5b
(cbrt.f64 y)
0.5b
(cbrt.f64 y)
1.0b
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 z (/.f64 (cbrt.f64 x) (cbrt.f64 y))))

rewrite122.0ms (2.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
73×add-exp-log_binary64_457
39×add-cbrt-cube_binary64_455
37×prod-exp_binary64_468 cbrt-unprod_binary64_452
17×div-exp_binary64_470 cbrt-undiv_binary64_453
pow1_binary64_480 cbrt-prod_binary64_450
add-cube-cbrt_binary64_454 add-sqr-sqrt_binary64_441 *-un-lft-identity_binary64_419
associate-*l*_binary64_360
add-log-exp_binary64_458
pow-prod-down_binary64_490 associate-*r/_binary64_361 pow1/3_binary64_501
frac-times_binary64_429 associate-*l/_binary64_362 times-frac_binary64_425 div-inv_binary64_416 associate-*r*_binary64_359 *-commutative_binary64_350
Counts
4 → 82
Calls

4 calls:

18.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 z (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
Compiler

Compiled 2894 to 705 computations (75.6% saved)

series406.0ms (7.5%)

Error
0b
Counts
4 → 18
Calls

4 calls:

149.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 z (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
85.0ms
(cbrt.f64 y)
81.0ms
(cbrt.f64 y)
75.0ms
(cbrt.f64 y)
Compiler

Compiled 1140 to 741 computations (35% saved)

simplify71.0ms (1.3%)

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05108806

prune93.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1000100
Fresh077
Picked011
Done000
Total1008108
Error
0b
Counts
108 → 8
Compiler

Compiled 2274 to 848 computations (62.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
1.2b
(*.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
2.3b
(*.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))

rewrite113.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
34×add-exp-log_binary64_457
21×add-cbrt-cube_binary64_455
18×pow1_binary64_480 add-sqr-sqrt_binary64_441
17×prod-exp_binary64_468 cbrt-unprod_binary64_452
15×add-cube-cbrt_binary64_454 *-un-lft-identity_binary64_419
14×associate-*l*_binary64_360
10×times-frac_binary64_425
pow-prod-down_binary64_490 cbrt-prod_binary64_450
associate-*r*_binary64_359
div-exp_binary64_470 add-log-exp_binary64_458 cbrt-undiv_binary64_453
associate-*l/_binary64_362
unswap-sqr_binary64_387 *-commutative_binary64_350 pow1/3_binary64_501
div-inv_binary64_416
Counts
4 → 86
Calls

4 calls:

13.0ms
(*.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
10.0ms
(*.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
Compiler

Compiled 2191 to 731 computations (66.6% saved)

series634.0ms (11.8%)

Error
0b
Counts
4 → 24
Calls

4 calls:

356.0ms
(*.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
117.0ms
(*.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
71.0ms
(cbrt.f64 z)
70.0ms
(cbrt.f64 z)
Compiler

Compiled 1263 to 924 computations (26.8% saved)

simplify54.0ms (1%)

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050031058

prune100.0ms (1.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1100110
Fresh066
Picked011
Done011
Total1108118
Error
0b
Counts
118 → 8
Compiler

Compiled 2237 to 1048 computations (53.2% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (+.f64 x 4) y)
0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
6.8b
(*.f64 x (/.f64 z y))

rewrite100.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
28×*-un-lft-identity_binary64_419
25×add-sqr-sqrt_binary64_441
22×times-frac_binary64_425
20×add-cube-cbrt_binary64_454
13×associate-*r*_binary64_359
10×add-exp-log_binary64_457 add-cbrt-cube_binary64_455
pow1_binary64_480 add-log-exp_binary64_458
distribute-lft-out_binary64_370 associate-/l*_binary64_364
associate-*r/_binary64_361 associate-*l*_binary64_360 associate-/r*_binary64_363
div-exp_binary64_470 prod-exp_binary64_468 cbrt-unprod_binary64_452 cbrt-undiv_binary64_453 unswap-sqr_binary64_387 div-inv_binary64_416 associate-/l/_binary64_366
pow-prod-down_binary64_490 *-commutative_binary64_350 diff-log_binary64_511 frac-sub_binary64_428 sub-div_binary64_426 flip3--_binary64_423 sub-neg_binary64_412 flip--_binary64_394 cancel-sign-sub-inv_binary64_385 frac-2neg_binary64_430 clear-num_binary64_418 flip3-+_binary64_422 flip-+_binary64_393
Counts
3 → 79
Calls

3 calls:

9.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
7.0ms
(*.f64 x (/.f64 z y))
6.0ms
(/.f64 (+.f64 x 4) y)
Compiler

Compiled 1545 to 746 computations (51.7% saved)

series392.0ms (7.3%)

Error
0b
Counts
3 → 33
Calls

3 calls:

220.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
91.0ms
(*.f64 x (/.f64 z y))
60.0ms
(/.f64 (+.f64 x 4) y)
Compiler

Compiled 1124 to 790 computations (29.7% saved)

simplify69.0ms (1.3%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
055471346

prune87.0ms (1.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1111112
Fresh145
Picked011
Done022
Total1128120
Error
0b
Counts
120 → 8
Compiler

Compiled 1759 to 818 computations (53.5% saved)

regimes361.0ms (6.7%)

Accuracy

Total 0.7b remaining (99.4%)

Threshold costs 0.7b (99.4%)

Compiler

Compiled 3797 to 2766 computations (27.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07842
17842

end0.0ms (0%)

sample1.4s (25.5%)

Algorithm
intervals
Results
313.0ms8000×body128valid
42.0ms1169×body128invalid
Compiler

Compiled 788 to 572 computations (27.4% saved)

Profiling

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