Details

Time bar (total: 4.2s)

analyze462.0ms (11.1%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077940
177940
033
133
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
6.2%93.6%0.1%6
15.6%84.3%0.1%7
29.6%70.2%0.1%8
33.5%63.2%3.3%9
43.3%49.5%7.2%10
52.1%39.2%8.7%11
54.5%34.2%11.3%12
60.6%25.6%13.8%13
65.2%20.4%14.4%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample19.0ms (0.5%)

Algorithm
intervals
Results
7.0ms256×body128valid
1.0ms25×body128invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify20.0ms (0.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
030110
130110

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 23 to 20 computations (13% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite54.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
12×add-sqr-sqrt_binary64_2487 cancel-sign-sub-inv_binary64_2431
10×*-un-lft-identity_binary64_2465
add-cube-cbrt_binary64_2500 distribute-rgt-in_binary64_2415 associate-+r+_binary64_2397 distribute-lft-in_binary64_2414
associate-*r*_binary64_2405
add-log-exp_binary64_2504 pow1_binary64_2526 add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501 sub-neg_binary64_2458
associate-*l*_binary64_2406
associate-*r/_binary64_2407
sum-log_binary64_2556 flip3-+_binary64_2468 flip-+_binary64_2439 +-commutative_binary64_2395 pow-prod-down_binary64_2536 prod-exp_binary64_2514 cbrt-unprod_binary64_2498 unswap-sqr_binary64_2433 flip3--_binary64_2469 flip--_binary64_2440 difference-of-squares_binary64_2434 distribute-lft-out--_binary64_2417 *-commutative_binary64_2396
Counts
2 → 49
Calls

2 calls:

8.0ms
(*.f64 x (-.f64 y z))
5.0ms
(+.f64 z (*.f64 x (-.f64 y z)))
Compiler

Compiled 682 to 192 computations (71.8% saved)

series237.0ms (5.7%)

Error
0.0b
Counts
2 → 33
Calls

2 calls:

125.0ms
(+.f64 z (*.f64 x (-.f64 y z)))
92.0ms
(*.f64 x (-.f64 y z))
Compiler

Compiled 618 to 364 computations (41.1% saved)

simplify67.0ms (1.6%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05339764

prune48.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New80282
Fresh011
Picked011
Done000
Total80484
Error
0.0b
Counts
84 → 4
Compiler

Compiled 834 to 183 computations (78.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
0.0b
(*.f64 (-.f64 1 x) z)

rewrite41.0ms (1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-sqr-sqrt_binary64_2487
*-un-lft-identity_binary64_2465
associate-*l*_binary64_2406
pow1_binary64_2526 add-exp-log_binary64_2503 add-log-exp_binary64_2504 add-cbrt-cube_binary64_2501 add-cube-cbrt_binary64_2500
associate-*r*_binary64_2405
associate-*l/_binary64_2408 difference-of-squares_binary64_2434
pow-prod-down_binary64_2536 prod-exp_binary64_2514 cbrt-unprod_binary64_2498 unswap-sqr_binary64_2433 flip3--_binary64_2469 flip--_binary64_2440 distribute-lft-out--_binary64_2417 *-commutative_binary64_2396 sum-log_binary64_2556 flip3-+_binary64_2468 flip-+_binary64_2439 +-commutative_binary64_2395
Counts
2 → 34
Calls

2 calls:

7.0ms
(*.f64 (-.f64 1 x) z)
4.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
Compiler

Compiled 571 to 316 computations (44.7% saved)

series203.0ms (4.9%)

Error
0.0b
Counts
2 → 27
Calls

2 calls:

130.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
61.0ms
(*.f64 (-.f64 1 x) z)
Compiler

Compiled 529 to 326 computations (38.4% saved)

simplify71.0ms (1.7%)

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
05458610

prune38.0ms (0.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New61061
Fresh022
Picked011
Done011
Total61465
Error
0.0b
Counts
65 → 4
Compiler

Compiled 688 to 212 computations (69.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 z (*.f64 (sqrt.f64 x) (*.f64 (-.f64 y z) (sqrt.f64 x))))
0.1b
(*.f64 (-.f64 y z) (sqrt.f64 x))
0.2b
(*.f64 (sqrt.f64 x) (*.f64 (-.f64 y z) (sqrt.f64 x)))

rewrite71.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
14×add-sqr-sqrt_binary64_2487
11×associate-*l*_binary64_2406
10×pow1_binary64_2526 add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501 *-un-lft-identity_binary64_2465
add-cube-cbrt_binary64_2500
sqrt-prod_binary64_2481 associate-*r*_binary64_2405
add-log-exp_binary64_2504
pow-prod-down_binary64_2536 prod-exp_binary64_2514 cbrt-unprod_binary64_2498 associate-*l/_binary64_2408
flip3--_binary64_2469 associate-*r/_binary64_2407 flip--_binary64_2440 *-commutative_binary64_2396 unswap-sqr_binary64_2433
difference-of-squares_binary64_2434 distribute-lft-out--_binary64_2417 sum-log_binary64_2556 flip3-+_binary64_2468 flip-+_binary64_2439 +-commutative_binary64_2395
Counts
3 → 60
Calls

3 calls:

11.0ms
(*.f64 (sqrt.f64 x) (*.f64 (-.f64 y z) (sqrt.f64 x)))
8.0ms
(*.f64 (-.f64 y z) (sqrt.f64 x))
4.0ms
(+.f64 z (*.f64 (sqrt.f64 x) (*.f64 (-.f64 y z) (sqrt.f64 x))))
Compiler

Compiled 1150 to 245 computations (78.7% saved)

series369.0ms (8.8%)

Error
0.0b
Counts
3 → 47
Calls

3 calls:

136.0ms
(+.f64 z (*.f64 (sqrt.f64 x) (*.f64 (-.f64 y z) (sqrt.f64 x))))
118.0ms
(*.f64 (-.f64 y z) (sqrt.f64 x))
90.0ms
(*.f64 (sqrt.f64 x) (*.f64 (-.f64 y z) (sqrt.f64 x)))
Compiler

Compiled 1206 to 694 computations (42.5% saved)

simplify69.0ms (1.7%)

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
052931096

prune58.0ms (1.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh011
Picked011
Done022
Total1074111
Error
0.0b
Counts
111 → 4
Compiler

Compiled 1253 to 256 computations (79.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 x (-.f64 y z))
0.0b
(+.f64 z (*.f64 x (-.f64 y z)))
0.2b
(pow.f64 (+.f64 z (*.f64 x (-.f64 y z))) 3)
39.8b
(cbrt.f64 (pow.f64 (+.f64 z (*.f64 x (-.f64 y z))) 3))

rewrite105.0ms (2.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
20×add-sqr-sqrt_binary64_2487
18×*-un-lft-identity_binary64_2465
16×add-cube-cbrt_binary64_2500
12×cbrt-prod_binary64_2496 cancel-sign-sub-inv_binary64_2431
distribute-rgt-in_binary64_2415 associate-+r+_binary64_2397 distribute-lft-in_binary64_2414
pow1_binary64_2526 add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
add-log-exp_binary64_2504 unpow-prod-down_binary64_2544 cube-prod_binary64_2493
associate-*r*_binary64_2405
cube-div_binary64_2494 sub-neg_binary64_2458
flip3-+_binary64_2468 flip-+_binary64_2439 pow-unpow_binary64_2542 associate-*l*_binary64_2406
cbrt-div_binary64_2497 unpow3_binary64_2531 cube-mult_binary64_2495 sqr-pow_binary64_2437 associate-*r/_binary64_2407
pow1/3_binary64_2547 rem-cbrt-cube_binary64_2489 pow-pow_binary64_2537 pow-to-exp_binary64_2534 pow-exp_binary64_2533 rem-cube-cbrt_binary64_2488 sum-log_binary64_2556 +-commutative_binary64_2395 pow-prod-down_binary64_2536 prod-exp_binary64_2514 cbrt-unprod_binary64_2498 unswap-sqr_binary64_2433 flip3--_binary64_2469 flip--_binary64_2440 difference-of-squares_binary64_2434 distribute-lft-out--_binary64_2417 *-commutative_binary64_2396
Counts
4 → 97
Calls

4 calls:

7.0ms
(*.f64 x (-.f64 y z))
4.0ms
(+.f64 z (*.f64 x (-.f64 y z)))
4.0ms
(cbrt.f64 (pow.f64 (+.f64 z (*.f64 x (-.f64 y z))) 3))
4.0ms
(pow.f64 (+.f64 z (*.f64 x (-.f64 y z))) 3)
Compiler

Compiled 1852 to 655 computations (64.6% saved)

series851.0ms (20.4%)

Error
0.0b
Counts
4 → 87
Calls

4 calls:

360.0ms
(pow.f64 (+.f64 z (*.f64 x (-.f64 y z))) 3)
132.0ms
(+.f64 z (*.f64 x (-.f64 y z)))
126.0ms
(cbrt.f64 (pow.f64 (+.f64 z (*.f64 x (-.f64 y z))) 3))
103.0ms
(*.f64 x (-.f64 y z))
Compiler

Compiled 5399 to 4056 computations (24.9% saved)

simplify95.0ms (2.3%)

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049594359
149594359

prune172.0ms (4.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1831184
Fresh000
Picked011
Done033
Total1835188
Error
0b
Counts
188 → 5
Compiler

Compiled 3689 to 1524 computations (58.7% saved)

regimes167.0ms (4%)

Accuracy

Total 0.0b remaining (80.4%)

Threshold costs 0.0b (80.4%)

Compiler

Compiled 1120 to 842 computations (24.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02213
12213

end0.0ms (0%)

sample923.0ms (22.1%)

Algorithm
intervals
Results
254.0ms8000×body128valid
21.0ms724×body128invalid
Compiler

Compiled 293 to 222 computations (24.2% saved)

Profiling

Loading profile data...