Details

Time bar (total: 33.1s)

analyze961.0ms (2.9%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02370
12370
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
0%99.8%0.2%8
6.2%93.6%0.2%9
12.5%87.3%0.2%10
15.6%80.3%4.1%11
31.2%63.9%4.9%12
39%50.9%10.1%13
44.8%44.4%10.7%14
Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 8 to 8 computations (0% saved)

sample812.0ms (2.5%)

Algorithm
intervals
Results
7.0ms256×body128valid
3.0ms78×body128invalid
Compiler

Compiled 2687 to 4027 computations (-49.9% saved)

simplify7.0ms (0%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01110
11110

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (*.f64 z t))

rewrite14.0ms (0%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-log-exp_binary64_1481
sum-log_binary64_1533 pow1_binary64_1503 add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478 add-cube-cbrt_binary64_1477 add-sqr-sqrt_binary64_1464 flip3-+_binary64_1445 *-un-lft-identity_binary64_1442 flip-+_binary64_1416 +-commutative_binary64_1372
Counts
1 → 11
Calls

1 calls:

4.0ms
(+.f64 (*.f64 x y) (*.f64 z t))
Compiler

Compiled 178 to 42 computations (76.4% saved)

series203.0ms (0.6%)

Error
0.0b
Counts
1 → 24
Calls

1 calls:

192.0ms
(+.f64 (*.f64 x y) (*.f64 z t))
Compiler

Compiled 324 to 235 computations (27.5% saved)

simplify88.0ms (0.3%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
04831355
14831355

prune22.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New33235
Fresh000
Picked011
Done000
Total33336
Error
0b
Counts
36 → 3
Compiler

Compiled 327 to 67 computations (79.5% saved)

localize8.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 t z) (*.f64 x y))
0.2b
(*.f64 (sqrt.f64 (+.f64 (*.f64 t z) (*.f64 x y))) (sqrt.f64 (+.f64 (*.f64 t z) (*.f64 x y))))
1.1b
(sqrt.f64 (+.f64 (*.f64 t z) (*.f64 x y)))
1.1b
(sqrt.f64 (+.f64 (*.f64 t z) (*.f64 x y)))

rewrite132.0ms (0.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
30×add-sqr-sqrt_binary64_1464
24×sqrt-prod_binary64_1458
21×pow1_binary64_1503
16×sqrt-div_binary64_1459
14×add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
10×pow1/2_binary64_1522 sqrt-pow1_binary64_1460
flip3-+_binary64_1445 flip-+_binary64_1416
swap-sqr_binary64_1409
add-log-exp_binary64_1481 add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478 associate-*l*_binary64_1383 associate-*r*_binary64_1382
pow-prod-up_binary64_1512
rem-sqrt-square_binary64_1455 frac-times_binary64_1452 unswap-sqr_binary64_1410
pow-prod-down_binary64_1513 pow-sqr_binary64_1415
associate-*l/_binary64_1385 associate-*r/_binary64_1384
pow2_binary64_1523 pow-plus_binary64_1505 prod-exp_binary64_1491 cbrt-unprod_binary64_1475 sqrt-unprod_binary64_1462 sqr-abs_binary64_1457 rem-square-sqrt_binary64_1454 *-commutative_binary64_1373 sum-log_binary64_1533 +-commutative_binary64_1372
Counts
4 → 99
Calls

4 calls:

12.0ms
(*.f64 (sqrt.f64 (+.f64 (*.f64 t z) (*.f64 x y))) (sqrt.f64 (+.f64 (*.f64 t z) (*.f64 x y))))
4.0ms
(+.f64 (*.f64 t z) (*.f64 x y))
4.0ms
(sqrt.f64 (+.f64 (*.f64 t z) (*.f64 x y)))
4.0ms
(sqrt.f64 (+.f64 (*.f64 t z) (*.f64 x y)))
Compiler

Compiled 2841 to 323 computations (88.6% saved)

series774.0ms (2.3%)

Error
0b
Counts
4 → 80
Calls

4 calls:

218.0ms
(+.f64 (*.f64 t z) (*.f64 x y))
203.0ms
(*.f64 (sqrt.f64 (+.f64 (*.f64 t z) (*.f64 x y))) (sqrt.f64 (+.f64 (*.f64 t z) (*.f64 x y))))
158.0ms
(sqrt.f64 (+.f64 (*.f64 t z) (*.f64 x y)))
154.0ms
(sqrt.f64 (+.f64 (*.f64 t z) (*.f64 x y)))
Compiler

Compiled 3112 to 1722 computations (44.7% saved)

simplify102.0ms (0.3%)

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
049232397
149232397

prune133.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1790179
Fresh011
Picked011
Done011
Total1793182
Error
0b
Counts
182 → 3
Compiler

Compiled 3073 to 383 computations (87.5% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

0.6b
(+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 t (*.f64 z (-.f64 (*.f64 t z) (*.f64 x y)))))
1.7b
(+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 t z) 3))
4.7b
(*.f64 t (*.f64 z (-.f64 (*.f64 t z) (*.f64 x y))))
37.8b
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 t z) 3)) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 t (*.f64 z (-.f64 (*.f64 t z) (*.f64 x y))))))

rewrite219.0ms (0.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
25×*-un-lft-identity_binary64_1442
16×distribute-rgt-in_binary64_1392 distribute-lft-in_binary64_1391
15×add-cube-cbrt_binary64_1477 add-sqr-sqrt_binary64_1464 times-frac_binary64_1448
11×add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478
pow1_binary64_1503
add-log-exp_binary64_1481 sub-neg_binary64_1435 cancel-sign-sub-inv_binary64_1408 associate-+r+_binary64_1374
sum-cubes_binary64_1443 distribute-lft-out_binary64_1393 associate-/l*_binary64_1387
flip3-+_binary64_1445 flip-+_binary64_1416 associate-*r/_binary64_1384
associate-/r*_binary64_1386 pow-prod-down_binary64_1513 prod-exp_binary64_1491 cbrt-unprod_binary64_1475 associate-*l*_binary64_1383
associate-/l/_binary64_1389 associate-/r/_binary64_1388 sum-log_binary64_1533 +-commutative_binary64_1372
div-exp_binary64_1493 cbrt-undiv_binary64_1476 frac-2neg_binary64_1453 clear-num_binary64_1441 div-inv_binary64_1439 flip3--_binary64_1446 flip--_binary64_1417 associate-*r*_binary64_1382 *-commutative_binary64_1373
Counts
4 → 99
Calls

4 calls:

17.0ms
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 t z) 3)) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 t (*.f64 z (-.f64 (*.f64 t z) (*.f64 x y))))))
9.0ms
(+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 t (*.f64 z (-.f64 (*.f64 t z) (*.f64 x y)))))
8.0ms
(*.f64 t (*.f64 z (-.f64 (*.f64 t z) (*.f64 x y))))
8.0ms
(+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 t z) 3))
Compiler

Compiled 4803 to 1087 computations (77.4% saved)

series3.5s (10.6%)

Error
0b
Counts
4 → 108
Calls

4 calls:

1.3s
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 t z) 3)) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 t (*.f64 z (-.f64 (*.f64 t z) (*.f64 x y))))))
868.0ms
(+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 t z) 3))
841.0ms
(+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 t (*.f64 z (-.f64 (*.f64 t z) (*.f64 x y)))))
432.0ms
(*.f64 t (*.f64 z (-.f64 (*.f64 t z) (*.f64 x y))))
Compiler

Compiled 6528 to 3873 computations (40.7% saved)

simplify98.0ms (0.3%)

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
050665233

prune276.0ms (0.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2070207
Fresh000
Picked011
Done022
Total2073210
Error
0b
Counts
210 → 3
Compiler

Compiled 6624 to 1805 computations (72.8% saved)

regimes165.0ms (0.5%)

Accuracy

Total 0.0b remaining (28.2%)

Threshold costs 0.0b (28.2%)

Compiler

Compiled 1469 to 969 computations (34% saved)

bsearch0.0ms (0%)

simplify21.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01110
11110
Remove

(sort z t)

(sort x y)

Compiler

Compiled 28 to 28 computations (0% saved)

end0.0ms (0%)

sample25.5s (77.1%)

Algorithm
intervals
Results
195.0ms8000×body128valid
108.0ms2490×body128invalid
Compiler

Compiled 84140 to 126028 computations (-49.8% saved)

Profiling

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