Details

Time bar (total: 8.7s)

analyze1.2s (13.4%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04937112
14937112
044
144
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
15.6%84.2%0.2%8
15.6%84.2%0.2%9
20.3%79.5%0.2%10
25.3%74.5%0.2%11
34.2%65.6%0.2%12
37.4%62%0.6%13
41.7%57.7%0.6%14
Compiler

Compiled 16 to 14 computations (12.5% saved)

sample46.0ms (0.5%)

Algorithm
intervals
Results
21.0ms256×body128valid
6.0ms92×body128invalid
Compiler

Compiled 31 to 31 computations (0% saved)

simplify452.0ms (5.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (446.0ms)

IterNodesCost
0480016
1480016

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 37 to 33 computations (10.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 y (/.f64 t y))
0.4b
(/.f64 -1/3 z)
4.1b
(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))

rewrite174.0ms (2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
55×add-sqr-sqrt_binary64_18514
48×times-frac_binary64_18498
44×*-un-lft-identity_binary64_18492
40×add-cube-cbrt_binary64_18527
39×cancel-sign-sub-inv_binary64_18458
14×distribute-rgt-in_binary64_18442 distribute-lft-in_binary64_18441
13×associate-*l*_binary64_18433
10×add-exp-log_binary64_18530 add-cbrt-cube_binary64_18528
associate-*r*_binary64_18432
pow1_binary64_18553 add-log-exp_binary64_18531 div-inv_binary64_18489
difference-of-squares_binary64_18461
flip3--_binary64_18496 flip--_binary64_18467 sub-neg_binary64_18485 associate-/l*_binary64_18437 associate-/r*_binary64_18436
div-exp_binary64_18543 prod-exp_binary64_18541 cbrt-unprod_binary64_18525 cbrt-undiv_binary64_18526 frac-times_binary64_18502 unswap-sqr_binary64_18460 associate-*r/_binary64_18434 distribute-lft-out--_binary64_18444
pow-prod-down_binary64_18563 associate-*l/_binary64_18435 *-commutative_binary64_18423 frac-2neg_binary64_18503 clear-num_binary64_18491 diff-log_binary64_18584
Counts
3 → 121
Calls

3 calls:

23.0ms
(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))
8.0ms
(-.f64 y (/.f64 t y))
3.0ms
(/.f64 -1/3 z)
Compiler

Compiled 2404 to 1044 computations (56.6% saved)

series361.0ms (4.1%)

Error
0.0b
Counts
3 → 30
Calls

3 calls:

244.0ms
(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))
80.0ms
(-.f64 y (/.f64 t y))
17.0ms
(/.f64 -1/3 z)
Compiler

Compiled 888 to 665 computations (25.1% saved)

simplify86.0ms (1%)

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
052672023

prune190.0ms (2.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1465151
Fresh011
Picked101
Done000
Total1476153
Error
0.0b
Counts
153 → 6
Compiler

Compiled 2432 to 1044 computations (57.1% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 y (/.f64 t y))
0.4b
(*.f64 -1/3 (/.f64 1 z))
4.1b
(*.f64 (*.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)))

rewrite184.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
50×add-sqr-sqrt_binary64_18514
40×times-frac_binary64_18498
39×cancel-sign-sub-inv_binary64_18458
38×*-un-lft-identity_binary64_18492
33×add-cube-cbrt_binary64_18527
27×add-exp-log_binary64_18530
19×associate-*r*_binary64_18432
17×add-cbrt-cube_binary64_18528
14×distribute-rgt-in_binary64_18442 distribute-lft-in_binary64_18441
13×prod-exp_binary64_18541
10×pow1_binary64_18553
cbrt-unprod_binary64_18525
associate-*r/_binary64_18434
add-log-exp_binary64_18531
pow-prod-down_binary64_18563 div-exp_binary64_18543 flip3--_binary64_18496 un-div-inv_binary64_18490 frac-times_binary64_18502 flip--_binary64_18467 div-inv_binary64_18489 associate-*l*_binary64_18433 difference-of-squares_binary64_18461
sub-neg_binary64_18485 unswap-sqr_binary64_18460
1-exp_binary64_18536 rec-exp_binary64_18542 cbrt-undiv_binary64_18526 associate-*l/_binary64_18435 distribute-lft-out--_binary64_18444 *-commutative_binary64_18423
diff-log_binary64_18584
Counts
3 → 124
Calls

3 calls:

15.0ms
(*.f64 (*.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)))
10.0ms
(*.f64 -1/3 (/.f64 1 z))
7.0ms
(-.f64 y (/.f64 t y))
Compiler

Compiled 2767 to 1380 computations (50.1% saved)

series382.0ms (4.4%)

Error
0.0b
Counts
3 → 30
Calls

3 calls:

254.0ms
(*.f64 (*.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)))
76.0ms
(-.f64 y (/.f64 t y))
15.0ms
(*.f64 -1/3 (/.f64 1 z))
Compiler

Compiled 948 to 725 computations (23.5% saved)

simplify79.0ms (0.9%)

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
053381943

prune152.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1540154
Fresh055
Picked011
Done000
Total1546160
Error
0.0b
Counts
160 → 6
Compiler

Compiled 2507 to 1117 computations (55.4% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 y (/.f64 t y))
0.4b
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
3.9b
(/.f64 (-.f64 y (/.f64 t y)) z)

rewrite156.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
77×add-sqr-sqrt_binary64_18514
54×times-frac_binary64_18498
48×*-un-lft-identity_binary64_18492
32×add-cube-cbrt_binary64_18527
22×associate-*r*_binary64_18432
16×difference-of-squares_binary64_18461
13×cancel-sign-sub-inv_binary64_18458
10×add-exp-log_binary64_18530 add-cbrt-cube_binary64_18528
distribute-lft-out--_binary64_18444
associate-/l*_binary64_18437
pow1_binary64_18553 add-log-exp_binary64_18531
div-inv_binary64_18489 associate-/r*_binary64_18436 associate-*l*_binary64_18433
div-exp_binary64_18543 cbrt-undiv_binary64_18526 flip3--_binary64_18496 associate-/l/_binary64_18439 flip--_binary64_18467 prod-exp_binary64_18541 cbrt-unprod_binary64_18525 unswap-sqr_binary64_18460
frac-2neg_binary64_18503 div-sub_binary64_18497 clear-num_binary64_18491 pow-prod-down_binary64_18563 associate-*r/_binary64_18434 *-commutative_binary64_18423 diff-log_binary64_18584 sub-neg_binary64_18485
Counts
3 → 110
Calls

3 calls:

16.0ms
(-.f64 y (/.f64 t y))
15.0ms
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
10.0ms
(/.f64 (-.f64 y (/.f64 t y)) z)
Compiler

Compiled 2247 to 723 computations (67.8% saved)

series567.0ms (6.5%)

Error
0.0b
Counts
3 → 42
Calls

3 calls:

263.0ms
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
188.0ms
(/.f64 (-.f64 y (/.f64 t y)) z)
85.0ms
(-.f64 y (/.f64 t y))
Compiler

Compiled 1236 to 893 computations (27.8% saved)

simplify80.0ms (0.9%)

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
051852109

prune137.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1511152
Fresh044
Picked011
Done011
Total1517158
Error
0.0b
Counts
158 → 7
Compiler

Compiled 2502 to 773 computations (69.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
0.2b
(*.f64 (*.f64 z 3) y)
0.2b
(/.f64 y (*.f64 z 3))
8.7b
(/.f64 t (*.f64 (*.f64 z 3) y))

rewrite135.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
23×add-exp-log_binary64_18530 add-cbrt-cube_binary64_18528
16×*-un-lft-identity_binary64_18492
11×add-cube-cbrt_binary64_18527 add-sqr-sqrt_binary64_18514
pow1_binary64_18553 add-log-exp_binary64_18531 times-frac_binary64_18498
associate-+l+_binary64_18425
prod-exp_binary64_18541 cbrt-unprod_binary64_18525 cancel-sign-sub-inv_binary64_18458
associate-/l*_binary64_18437
div-exp_binary64_18543 cbrt-undiv_binary64_18526
div-inv_binary64_18489 pow-prod-down_binary64_18563 associate-*r*_binary64_18432
frac-2neg_binary64_18503 clear-num_binary64_18491 associate-/r*_binary64_18436 sum-log_binary64_18583 frac-add_binary64_18500 distribute-lft-out_binary64_18443
associate-*l*_binary64_18433 *-commutative_binary64_18423 diff-log_binary64_18584 flip3--_binary64_18496 flip--_binary64_18467 flip3-+_binary64_18495 flip-+_binary64_18466 distribute-lft-out--_binary64_18444 associate-+l-_binary64_18427 sub-neg_binary64_18485 +-commutative_binary64_18422
Counts
4 → 87
Calls

4 calls:

12.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
6.0ms
(/.f64 t (*.f64 (*.f64 z 3) y))
5.0ms
(*.f64 (*.f64 z 3) y)
4.0ms
(/.f64 y (*.f64 z 3))
Compiler

Compiled 1982 to 1218 computations (38.5% saved)

series818.0ms (9.4%)

Error
0.0b
Counts
4 → 48
Calls

4 calls:

465.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
151.0ms
(/.f64 t (*.f64 (*.f64 z 3) y))
78.0ms
(/.f64 y (*.f64 z 3))
68.0ms
(*.f64 (*.f64 z 3) y)
Compiler

Compiled 1663 to 1240 computations (25.4% saved)

simplify89.0ms (1%)

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049691888
149691888

prune156.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1305135
Fresh314
Picked101
Done112
Total1357142
Error
0b
Counts
142 → 7
Compiler

Compiled 2270 to 1205 computations (46.9% saved)

regimes796.0ms (9.1%)

Accuracy

Total 1.7b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 7148 to 5806 computations (18.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03534
13534

end0.0ms (0%)

sample2.5s (28.3%)

Algorithm
intervals
Results
451.0ms8000×body128valid
179.0ms3140×body128invalid
Compiler

Compiled 1237 to 1003 computations (18.9% saved)

Profiling

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