Details

Time bar (total: 3.4s)

analyze5.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 20 to 17 computations (15% saved)

sample20.0ms (0.6%)

Algorithm
intervals
Results
12.0ms256×body128valid
Compiler

Compiled 39 to 34 computations (12.8% saved)

simplify200.0ms (6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (100.0ms)

IterNodesCost
0460028
1460028

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 38 to 32 computations (15.8% saved)

localize12.0ms (0.4%)

Local error

Found 8 expressions with local error:

0.0b
(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.0b
(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
0.0b
(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
0.0b
(*.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x))
0.0b
(*.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x))
0.0b
(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.1b
(*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))
14.3b
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite40.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt_binary64_3510
20×*-un-lft-identity_binary64_3488
18×add-cube-cbrt_binary64_3523
10×add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526 times-frac_binary64_3494
associate-*r*_binary64_3428
pow1_binary64_3549
cancel-sign-sub-inv_binary64_3454 associate-*l*_binary64_3429 add-log-exp_binary64_3527
distribute-lft-in_binary64_3437 distribute-rgt-in_binary64_3438
flip-+_binary64_3462 flip3-+_binary64_3491 associate-*r/_binary64_3430
associate-/r*_binary64_3432 associate-/l*_binary64_3433
difference-of-squares_binary64_3457 unswap-sqr_binary64_3456 associate-/l/_binary64_3435 associate-/r/_binary64_3434 cbrt-unprod_binary64_3521 pow-prod-down_binary64_3559 *-commutative_binary64_3419 prod-exp_binary64_3537 sub-neg_binary64_3481
clear-num_binary64_3487 distribute-lft-out--_binary64_3440 flip3--_binary64_3492 +-commutative_binary64_3418 frac-2neg_binary64_3499 flip--_binary64_3463 div-exp_binary64_3539 sum-log_binary64_3579 cbrt-undiv_binary64_3522 div-inv_binary64_3485
Counts
4 → 95
Calls

8 calls:

16.0ms
(*.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x))
7.0ms
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
6.0ms
(*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))
3.0ms
(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.0ms
(*.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x))

series183.0ms (5.4%)

Counts
4 → 34
Calls

4 calls:

56.0ms
(*.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x))
48.0ms
(*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))
48.0ms
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
30.0ms
(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
Compiler

Compiled 694 to 604 computations (13% saved)

simplify87.0ms (2.6%)

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
051372766

prune187.0ms (5.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1272129
Fresh000
Picked101
Done000
Total1282130
Error
0b
Counts
130 → 2
Compiler

Compiled 3223 to 2562 computations (20.5% saved)

localize19.0ms (0.6%)

Local error

Found 8 expressions with local error:

0.0b
(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.0b
(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
0.0b
(-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3)) x)
0.0b
(*.f64 6369080665019903/9007199254740992 (-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3)) x))
0.1b
(*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))
0.1b
(pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3)
14.3b
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
19.6b
(cbrt.f64 (pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3))

rewrite49.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt_binary64_3510
45×times-frac_binary64_3494
44×add-cube-cbrt_binary64_3523 *-un-lft-identity_binary64_3488
36×cbrt-prod_binary64_3519
30×unpow-prod-down_binary64_3567 cube-prod_binary64_3516
11×add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526
10×associate-/r/_binary64_3434
flip-+_binary64_3462 flip3-+_binary64_3491 pow1_binary64_3549
div-inv_binary64_3485
add-log-exp_binary64_3527
associate-/r*_binary64_3432 associate-/l*_binary64_3433 associate-*l*_binary64_3429 associate-*r*_binary64_3428 pow-unpow_binary64_3565
pow-exp_binary64_3556 unpow3_binary64_3554 associate-/l/_binary64_3435 rem-cube-cbrt_binary64_3511 associate-*r/_binary64_3430 cube-div_binary64_3517 sqr-pow_binary64_3460 cube-mult_binary64_3518 div-exp_binary64_3539 cbrt-undiv_binary64_3522
distribute-lft-in_binary64_3437 clear-num_binary64_3487 distribute-rgt-in_binary64_3438 unswap-sqr_binary64_3456 cbrt-unprod_binary64_3521 pow-to-exp_binary64_3557 rem-cbrt-cube_binary64_3512 pow-prod-down_binary64_3559 frac-2neg_binary64_3499 *-commutative_binary64_3419 cbrt-div_binary64_3520 pow1/3_binary64_3570 pow-pow_binary64_3560 prod-exp_binary64_3537
Counts
4 → 149
Calls

8 calls:

9.0ms
(cbrt.f64 (pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3))
8.0ms
(pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3)
7.0ms
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
6.0ms
(*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))
0.0ms
(*.f64 6369080665019903/9007199254740992 (-.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3)) x))

series198.0ms (5.9%)

Counts
4 → 39
Calls

4 calls:

51.0ms
(pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3)
50.0ms
(cbrt.f64 (pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3))
50.0ms
(*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))
46.0ms
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
Compiler

Compiled 908 to 806 computations (11.2% saved)

simplify102.0ms (3%)

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049665386
149665386

prune355.0ms (10.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1880188
Fresh011
Picked011
Done000
Total1882190
Error
0b
Counts
190 → 2
Compiler

Compiled 5501 to 4506 computations (18.1% saved)

localize17.0ms (0.5%)

Local error

Found 8 expressions with local error:

0.1b
(*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))
0.0b
(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.0b
(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
0.0b
(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
0.1b
(*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))
0.1b
(*.f64 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x) (sqrt.f64 6369080665019903/9007199254740992))
0.1b
(*.f64 (sqrt.f64 6369080665019903/9007199254740992) (*.f64 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x) (sqrt.f64 6369080665019903/9007199254740992)))
14.3b
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite58.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt_binary64_3510
21×*-un-lft-identity_binary64_3488
19×add-cube-cbrt_binary64_3523
15×add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526 associate-*l*_binary64_3429
13×pow1_binary64_3549
10×times-frac_binary64_3494 associate-*r*_binary64_3428
sqrt-prod_binary64_3504
cbrt-unprod_binary64_3521 pow-prod-down_binary64_3559 prod-exp_binary64_3537
associate-*l/_binary64_3431 associate-*r/_binary64_3430 add-log-exp_binary64_3527
associate-/r*_binary64_3432 unswap-sqr_binary64_3456 flip-+_binary64_3462 flip3-+_binary64_3491 associate-/l*_binary64_3433 *-commutative_binary64_3419
difference-of-squares_binary64_3457 flip3--_binary64_3492 associate-/l/_binary64_3435 associate-/r/_binary64_3434 flip--_binary64_3463
distribute-lft-in_binary64_3437 clear-num_binary64_3487 distribute-rgt-in_binary64_3438 distribute-lft-out--_binary64_3440 frac-2neg_binary64_3499 div-exp_binary64_3539 cbrt-undiv_binary64_3522 div-inv_binary64_3485
Counts
4 → 103
Calls

8 calls:

17.0ms
(*.f64 (sqrt.f64 6369080665019903/9007199254740992) (*.f64 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x) (sqrt.f64 6369080665019903/9007199254740992)))
15.0ms
(*.f64 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x) (sqrt.f64 6369080665019903/9007199254740992))
7.0ms
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
6.0ms
(*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))
0.0ms
(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)

series278.0ms (8.3%)

Counts
4 → 39
Calls

4 calls:

98.0ms
(*.f64 (sqrt.f64 6369080665019903/9007199254740992) (*.f64 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x) (sqrt.f64 6369080665019903/9007199254740992)))
73.0ms
(*.f64 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x) (sqrt.f64 6369080665019903/9007199254740992))
53.0ms
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
53.0ms
(*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))
Compiler

Compiled 961 to 883 computations (8.1% saved)

simplify98.0ms (2.9%)

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
048913562
148913562

prune238.0ms (7.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1420142
Fresh000
Picked011
Done011
Total1422144
Error
0b
Counts
144 → 2
Compiler

Compiled 4000 to 3280 computations (18% saved)

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0126190
1126190

regimes100.0ms (3%)

Compiler

Compiled 611 to 553 computations (9.5% saved)

bsearch0.0ms (0%)

regimes63.0ms (1.9%)

Compiler

Compiled 335 to 308 computations (8.1% saved)

bsearch0.0ms (0%)

regimes18.0ms (0.5%)

Compiler

Compiled 59 to 58 computations (1.7% saved)

bsearch0.0ms (0%)

regimes15.0ms (0.4%)

Compiler

Compiled 44 to 45 computations (-2.3% saved)

bsearch0.0ms (0%)

regimes26.0ms (0.8%)

Compiler

Compiled 14 to 18 computations (-28.6% saved)

bsearch43.0ms (1.3%)

Steps
ItersRangePoint
11
2.039054178612998e-24
302.52702270046814
1.1363965878489581
10
-97387827.55605116
-5.458083995085865e-08
-1.0784931178144082
Compiler

Compiled 1 to 1 computations (0% saved)

regimes25.0ms (0.7%)

Compiler

Compiled 9 to 13 computations (-44.4% saved)

bsearch39.0ms (1.2%)

Steps
ItersRangePoint
11
2.039054178612998e-24
302.52702270046814
1.17885225853273
10
-97387827.55605116
-5.458083995085865e-08
-1.0784931178144082
Compiler

Compiled 1 to 1 computations (0% saved)

regimes12.0ms (0.4%)

Compiler

Compiled 6 to 10 computations (-66.7% saved)

bsearch0.0ms (0%)

regimes9.0ms (0.3%)

Accuracy

Total 0.0b remaining (68.7%)

Threshold costs 0.0b (68.7%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch7.0ms (0.2%)

Compiler

Compiled 97 to 84 computations (13.4% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
095136
195136

end0.0ms (0%)

sample846.0ms (25.2%)

Algorithm
intervals
Results
381.0ms8000×body128valid
Compiler

Compiled 245 to 221 computations (9.8% saved)

Pareto

0.979326269779042

Profiling

Loading profile data...