Details

Time bar (total: 33.0s)

analyze976.0ms (3%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112470
1112470
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
9.4%90.4%0.2%10
23.4%74.9%1.8%11
27.3%69.4%3.3%12
36.6%56.5%6.8%13
40.5%52%7.4%14
Symmetry

(sort y t)

Compiler

Compiled 10 to 9 computations (10% saved)

sample897.0ms (2.7%)

Algorithm
intervals
Results
8.0ms256×body128valid
4.0ms90×body128invalid
Compiler

Compiled 3479 to 4519 computations (-29.9% saved)

simplify28.0ms (0.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
043810
143810

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 23 to 22 computations (4.3% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 t (-.f64 x z))
5.8b
(*.f64 y (*.f64 t (-.f64 x z)))

rewrite76.0ms (0.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
20×distribute-rgt-in_binary64_17419 distribute-lft-in_binary64_17418
18×cancel-sign-sub-inv_binary64_17435
15×add-sqr-sqrt_binary64_17491
13×*-un-lft-identity_binary64_17469
11×add-cube-cbrt_binary64_17504
pow1_binary64_17530 add-exp-log_binary64_17507 add-cbrt-cube_binary64_17505
sub-neg_binary64_17462 associate-*r/_binary64_17411 associate-*l*_binary64_17410 associate-*r*_binary64_17409
pow-prod-down_binary64_17540 prod-exp_binary64_17518 cbrt-unprod_binary64_17502
add-log-exp_binary64_17508 flip3--_binary64_17473 flip--_binary64_17444 *-commutative_binary64_17400
unswap-sqr_binary64_17437 difference-of-squares_binary64_17438 distribute-lft-out--_binary64_17421
Counts
2 → 66
Calls

2 calls:

8.0ms
(*.f64 y (*.f64 t (-.f64 x z)))
7.0ms
(*.f64 t (-.f64 x z))
Compiler

Compiled 918 to 248 computations (73% saved)

series438.0ms (1.3%)

Error
0.1b
Counts
2 → 33
Calls

2 calls:

278.0ms
(*.f64 y (*.f64 t (-.f64 x z)))
141.0ms
(*.f64 t (-.f64 x z))
Compiler

Compiled 705 to 455 computations (35.5% saved)

simplify60.0ms (0.2%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049321049
149321049

prune66.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New93699
Fresh101
Picked011
Done000
Total947101
Error
0.0b
Counts
101 → 7
Compiler

Compiled 1042 to 206 computations (80.2% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

6.1b
(*.f64 (*.f64 t y) (-.f64 x z))

rewrite28.0ms (0.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64_17530 add-exp-log_binary64_17507 add-cbrt-cube_binary64_17505 add-sqr-sqrt_binary64_17491 *-un-lft-identity_binary64_17469 cancel-sign-sub-inv_binary64_17435
associate-*r*_binary64_17409
add-cube-cbrt_binary64_17504 distribute-rgt-in_binary64_17419 distribute-lft-in_binary64_17418
pow-prod-down_binary64_17540 prod-exp_binary64_17518 cbrt-unprod_binary64_17502
sub-neg_binary64_17462 associate-*r/_binary64_17411
add-log-exp_binary64_17508 flip3--_binary64_17473 flip--_binary64_17444 associate-*l*_binary64_17410 difference-of-squares_binary64_17438 distribute-lft-out--_binary64_17421 *-commutative_binary64_17400
Counts
1 → 30
Calls

1 calls:

8.0ms
(*.f64 (*.f64 t y) (-.f64 x z))
Compiler

Compiled 428 to 118 computations (72.4% saved)

series298.0ms (0.9%)

Error
0.0b
Counts
1 → 18
Calls

1 calls:

290.0ms
(*.f64 (*.f64 t y) (-.f64 x z))
Compiler

Compiled 408 to 262 computations (35.8% saved)

simplify52.0ms (0.2%)

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04974558
14974558

prune31.0ms (0.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New48048
Fresh055
Picked011
Done011
Total48755
Error
0.0b
Counts
55 → 7
Compiler

Compiled 522 to 116 computations (77.8% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 y (-.f64 x z))
8.9b
(*.f64 t (*.f64 y (-.f64 x z)))

rewrite62.0ms (0.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
20×distribute-rgt-in_binary64_17419 distribute-lft-in_binary64_17418
18×cancel-sign-sub-inv_binary64_17435
15×add-sqr-sqrt_binary64_17491
13×*-un-lft-identity_binary64_17469
11×add-cube-cbrt_binary64_17504
pow1_binary64_17530 add-exp-log_binary64_17507 add-cbrt-cube_binary64_17505
sub-neg_binary64_17462 associate-*r/_binary64_17411 associate-*l*_binary64_17410 associate-*r*_binary64_17409
pow-prod-down_binary64_17540 prod-exp_binary64_17518 cbrt-unprod_binary64_17502
add-log-exp_binary64_17508 flip3--_binary64_17473 flip--_binary64_17444 *-commutative_binary64_17400
unswap-sqr_binary64_17437 difference-of-squares_binary64_17438 distribute-lft-out--_binary64_17421
Counts
2 → 66
Calls

2 calls:

8.0ms
(*.f64 t (*.f64 y (-.f64 x z)))
7.0ms
(*.f64 y (-.f64 x z))
Compiler

Compiled 918 to 248 computations (73% saved)

series425.0ms (1.3%)

Error
0.0b
Counts
2 → 33
Calls

2 calls:

278.0ms
(*.f64 t (*.f64 y (-.f64 x z)))
132.0ms
(*.f64 y (-.f64 x z))
Compiler

Compiled 705 to 451 computations (36% saved)

simplify75.0ms (0.2%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049351049
149351049

prune59.0ms (0.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New97299
Fresh134
Picked011
Done022
Total988106
Error
0.0b
Counts
106 → 8
Compiler

Compiled 1039 to 196 computations (81.1% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

0.2b
(*.f64 (-.f64 x z) (sqrt.f64 t))
1.6b
(*.f64 y (*.f64 (-.f64 x z) (sqrt.f64 t)))
1.8b
(*.f64 (sqrt.f64 t) (*.f64 y (*.f64 (-.f64 x z) (sqrt.f64 t))))

rewrite96.0ms (0.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
19×pow1_binary64_17530 add-exp-log_binary64_17507 add-cbrt-cube_binary64_17505
15×add-sqr-sqrt_binary64_17491
14×associate-*l*_binary64_17410
11×*-un-lft-identity_binary64_17469
10×pow-prod-down_binary64_17540 prod-exp_binary64_17518 cbrt-unprod_binary64_17502
add-cube-cbrt_binary64_17504
associate-*r*_binary64_17409
sqrt-prod_binary64_17485
associate-*l/_binary64_17412 associate-*r/_binary64_17411
add-log-exp_binary64_17508 flip3--_binary64_17473 flip--_binary64_17444 *-commutative_binary64_17400
unswap-sqr_binary64_17437
difference-of-squares_binary64_17438 distribute-lft-out--_binary64_17421
Counts
3 → 72
Calls

3 calls:

12.0ms
(*.f64 (sqrt.f64 t) (*.f64 y (*.f64 (-.f64 x z) (sqrt.f64 t))))
8.0ms
(*.f64 y (*.f64 (-.f64 x z) (sqrt.f64 t)))
8.0ms
(*.f64 (-.f64 x z) (sqrt.f64 t))
Compiler

Compiled 1336 to 273 computations (79.6% saved)

series804.0ms (2.4%)

Error
0.0b
Counts
3 → 51
Calls

3 calls:

303.0ms
(*.f64 y (*.f64 (-.f64 x z) (sqrt.f64 t)))
287.0ms
(*.f64 (sqrt.f64 t) (*.f64 y (*.f64 (-.f64 x z) (sqrt.f64 t))))
187.0ms
(*.f64 (-.f64 x z) (sqrt.f64 t))
Compiler

Compiled 1698 to 975 computations (42.6% saved)

simplify54.0ms (0.2%)

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
051181434

prune78.0ms (0.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1221123
Fresh134
Picked011
Done033
Total1238131
Error
0.0b
Counts
131 → 8
Compiler

Compiled 1536 to 278 computations (81.9% saved)

regimes644.0ms (2%)

Accuracy

Total 0.5b remaining (97.9%)

Threshold costs 0.5b (97.9%)

Compiler

Compiled 2662 to 2126 computations (20.1% saved)

bsearch2.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

simplify13.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
07984
17984
Compiler

Compiled 112 to 52 computations (53.6% saved)

end0.0ms (0%)

sample27.7s (83.9%)

Algorithm
intervals
Results
244.0ms8000×body128valid
127.0ms2727×body128invalid
Compiler

Compiled 107802 to 139851 computations (-29.7% saved)

Profiling

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