Details

Time bar (total: 3.9s)

analyze872.0ms (22.6%)

Algorithm
1×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
49.1%50.7%0.2%9
49.5%50.3%0.2%10
49.7%50.1%0.2%11
50.2%49.6%0.2%12
60.5%39.3%0.2%13
60.6%37.9%1.4%14
Compiler

Compiled 10 to 10 computations (0% saved)

sample41.0ms (1.1%)

Algorithm
1×intervals
Results
15.0ms256×body128valid
4.0ms69×body128invalid
Compiler

Compiled 19 to 23 computations (-21.1% saved)

simplify432.0ms (11.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (272.0ms)

IterNodesCost
0174413
1174413

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 18 to 18 computations (0% saved)

localize13.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

rewrite24.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
13×*-un-lft-identity_binary64_1442
7×add-sqr-sqrt_binary64_1464
6×add-cbrt-cube_binary64_1478 times-frac_binary64_1448 associate-/l*_binary64_1387 add-exp-log_binary64_1480
4×distribute-lft-out--_binary64_1394
3×add-cube-cbrt_binary64_1477
2×cbrt-undiv_binary64_1476 associate-/l/_binary64_1389 distribute-lft-out_binary64_1393 difference-of-squares_binary64_1411 div-exp_binary64_1493
1×associate-/r*_binary64_1386 cbrt-unprod_binary64_1475 div-inv_binary64_1439 clear-num_binary64_1441 flip3--_binary64_1446 add-log-exp_binary64_1481 flip--_binary64_1417 frac-2neg_binary64_1453 prod-exp_binary64_1491 pow1_binary64_1503 div-sub_binary64_1447
Counts
1 → 30
Calls

1 calls:

20.0ms
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

series76.0ms (2%)

Counts
1 → 3
Calls

1 calls:

76.0ms
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

simplify89.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
05087513

prune44.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New31233
Fresh000
Picked011
Done000
Total31334

Merged error: 0b

Counts
34 → 3
Compiler

Compiled 494 to 216 computations (56.3% saved)

localize15.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (+.f64 x y) (*.f64 t 2))
0.0b
(-.f64 (/.f64 (+.f64 x y) (*.f64 t 2)) (/.f64 z (*.f64 t 2)))

rewrite39.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
17×*-un-lft-identity_binary64_1442
11×times-frac_binary64_1448
8×add-sqr-sqrt_binary64_1464
7×add-cbrt-cube_binary64_1478 cancel-sign-sub-inv_binary64_1408 add-exp-log_binary64_1480
6×add-cube-cbrt_binary64_1477
4×div-inv_binary64_1439 associate-/l*_binary64_1387 add-log-exp_binary64_1481
3×distribute-lft-out_binary64_1393 distribute-lft-out--_binary64_1394
2×cbrt-undiv_binary64_1476 associate-/l/_binary64_1389 pow1_binary64_1503 div-exp_binary64_1493
1×associate-/r*_binary64_1386 sub-div_binary64_1449 cbrt-unprod_binary64_1475 sub-neg_binary64_1435 clear-num_binary64_1441 flip3--_binary64_1446 frac-sub_binary64_1451 flip--_binary64_1417 frac-2neg_binary64_1453 diff-log_binary64_1534 distribute-rgt-out--_binary64_1396 flip3-+_binary64_1445 flip-+_binary64_1416 prod-exp_binary64_1491 difference-of-squares_binary64_1411
Counts
2 → 50
Calls

2 calls:

21.0ms
(-.f64 (/.f64 (+.f64 x y) (*.f64 t 2)) (/.f64 z (*.f64 t 2)))
11.0ms
(/.f64 (+.f64 x y) (*.f64 t 2))

series122.0ms (3.2%)

Counts
2 → 6
Calls

2 calls:

67.0ms
(-.f64 (/.f64 (+.f64 x y) (*.f64 t 2)) (/.f64 z (*.f64 t 2)))
55.0ms
(/.f64 (+.f64 x y) (*.f64 t 2))

simplify110.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
04937903
14937903

prune83.0ms (2.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New55156
Fresh101
Picked101
Done011
Total57259

Merged error: 0b

Counts
59 → 2
Compiler

Compiled 991 to 532 computations (46.3% saved)

localize16.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 (/.f64 y t) (-.f64 (/.f64 x t) (/.f64 z t)))

rewrite58.0ms (1.5%)

Algorithm
1×rewrite-expression-head
Rules
25×*-un-lft-identity_binary64_1442
18×times-frac_binary64_1448
14×associate-+r+_binary64_1374
13×cancel-sign-sub-inv_binary64_1408
11×add-sqr-sqrt_binary64_1464 add-cube-cbrt_binary64_1477
6×add-log-exp_binary64_1481
5×distribute-lft-out_binary64_1393
4×frac-add_binary64_1450 distribute-lft-out--_binary64_1394
2×sum-log_binary64_1533
1×associate-+r-_binary64_1376 add-cbrt-cube_binary64_1478 sub-div_binary64_1449 div-inv_binary64_1439 sub-neg_binary64_1435 flip3--_binary64_1446 +-commutative_binary64_1372 frac-sub_binary64_1451 add-exp-log_binary64_1480 flip--_binary64_1417 diff-log_binary64_1534 flip3-+_binary64_1445 flip-+_binary64_1416 pow1_binary64_1503
Counts
1 → 36
Calls

1 calls:

51.0ms
(+.f64 (/.f64 y t) (-.f64 (/.f64 x t) (/.f64 z t)))

series55.0ms (1.4%)

Counts
1 → 3
Calls

1 calls:

55.0ms
(+.f64 (/.f64 y t) (-.f64 (/.f64 x t) (/.f64 z t)))

simplify97.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
05285722

prune53.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New39039
Fresh000
Picked011
Done011
Total39241

Merged error: 0b

Counts
41 → 2
Compiler

Compiled 813 to 252 computations (69% saved)

regimes233.0ms (6%)

Compiler

Compiled 698 to 622 computations (10.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03019
13019

end0.0ms (0%)

sample1.4s (35.6%)

Algorithm
1×intervals
Results
486.0ms8000×body128valid
157.0ms2715×body128invalid
Compiler

Compiled 100 to 89 computations (11% saved)

Profiling

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