Details

Time bar (total: 2.5min)

analyze3.6s (2.4%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05111476
044
144
Search
TrueOtherFalseIter
0%25%75%0
0%25%75%1
0%25%75%2
0%25%75%3
0%25%75%4
0%25%75%5
0%25%75%6
0%25%75%7
3.1%21.8%75%8
3.1%21.8%75%9
3.1%21.8%75%10
3.1%21.8%75%11
3.1%21.8%75%12
3.1%21.8%75%13
3.1%21.8%75%14
Compiler

Compiled 50 to 40 computations (20% saved)

sample12.0s (8%)

Algorithm
intervals
Results
10.6s461×body8192exit
513.0ms342×body1024overflowed
393.0ms2114×body128overflowed
160.0ms196×body512overflowed
93.0ms3461×pre128true
38.0ms92×body256overflowed
30.0ms250×body128valid
17.0msbody4096valid
2.0msbody512valid
1.0msbody1024valid
Compiler

Compiled 93 to 79 computations (15.1% saved)

simplify67.0ms (0%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
0503668

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
4.2b
Counts
2 → 1
Compiler

Compiled 86 to 70 computations (18.6% saved)

localize20.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
0.2b
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
0.7b
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
2.4b
(/.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))

rewrite170.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
1192×add-exp-log_binary64_3526
692×pow-exp_binary64_3556
684×prod-exp_binary64_3537
593×div-exp_binary64_3539
344×pow-to-exp_binary64_3557
116×1-exp_binary64_3532 rec-exp_binary64_3538
56×*-un-lft-identity_binary64_3488
41×add-sqr-sqrt_binary64_3510 times-frac_binary64_3494
36×unpow-prod-down_binary64_3567
30×add-cube-cbrt_binary64_3523
18×cancel-sign-sub-inv_binary64_3454
16×add-cbrt-cube_binary64_3524
distribute-lft-out_binary64_3439
pow1_binary64_3549
difference-of-squares_binary64_3457 associate-/r/_binary64_3434 pow-unpow_binary64_3565 add-log-exp_binary64_3527 pow-pow_binary64_3560
div-inv_binary64_3485
cbrt-unprod_binary64_3521 cbrt-undiv_binary64_3522
flip-+_binary64_3462 flip3-+_binary64_3491
distribute-lft-out--_binary64_3440 pow-flip_binary64_3562 inv-pow_binary64_3573 sqr-pow_binary64_3460
clear-num_binary64_3487 associate-/r*_binary64_3432 flip3--_binary64_3492 diff-log_binary64_3580 associate-/l*_binary64_3433 frac-2neg_binary64_3499 flip--_binary64_3463 sub-neg_binary64_3481
Counts
4 → 489
Calls

4 calls:

50.0ms
(/.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))
12.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
7.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
7.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)

series918.0ms (0.6%)

Counts
4 → 12
Calls

4 calls:

784.0ms
(/.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))
53.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
53.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
27.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify252.0ms (0.2%)

Algorithm
egg-herbie
Counts
501 → 501
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
0503827612

prune1.5s (1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New4974501
Fresh000
Picked101
Done000
Total4984502
Error
0.0b
Counts
502 → 4
Compiler

Compiled 21775 to 13860 computations (36.3% saved)

localize29.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
0.8b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
8.0b
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
8.1b
(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))

rewrite58.0ms (0%)

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity_binary64_3488
38×add-sqr-sqrt_binary64_3510 log-prod_binary64_3574
16×pow1_binary64_3549
15×associate--r+_binary64_3424 associate--l+_binary64_3425
14×difference-of-squares_binary64_3457
12×log-pow_binary64_3577 distribute-lft-out--_binary64_3440 add-cube-cbrt_binary64_3523 log-div_binary64_3575
cancel-sign-sub-inv_binary64_3454 times-frac_binary64_3494
add-exp-log_binary64_3526
distribute-lft-out_binary64_3439 flip3--_binary64_3492 add-cbrt-cube_binary64_3524 flip-+_binary64_3462 flip3-+_binary64_3491 associate--r-_binary64_3427 associate--l-_binary64_3426 add-log-exp_binary64_3527 flip--_binary64_3463
rem-log-exp_binary64_3529 diff-log_binary64_3580 div-inv_binary64_3485 sub-neg_binary64_3481
Counts
4 → 108
Calls

4 calls:

25.0ms
(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))
11.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
4.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
4.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

series258.0ms (0.2%)

Counts
4 → 12
Calls

4 calls:

110.0ms
(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))
61.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
46.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
42.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

simplify77.0ms (0.1%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
052283205

prune273.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1182120
Fresh213
Picked101
Done000
Total1213124
Error
0.0b
Counts
124 → 3
Compiler

Compiled 5956 to 3927 computations (34.1% saved)

localize25.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (neg.f64 c_p) (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))))
0.4b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
0.8b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
8.0b
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

rewrite48.0ms (0%)

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity_binary64_3488
24×log-prod_binary64_3574
23×add-sqr-sqrt_binary64_3510
19×pow1_binary64_3549
17×add-cube-cbrt_binary64_3523
13×log-pow_binary64_3577
12×cancel-sign-sub-inv_binary64_3454 log-div_binary64_3575 associate--l+_binary64_3425
11×distribute-lft-in_binary64_3437 distribute-rgt-in_binary64_3438
10×associate-*l*_binary64_3429
distribute-lft-out--_binary64_3440 add-exp-log_binary64_3526 associate-*r*_binary64_3428
distribute-lft-out_binary64_3439 add-cbrt-cube_binary64_3524 flip-+_binary64_3462 flip3-+_binary64_3491 associate--r-_binary64_3427
associate--r+_binary64_3424 add-log-exp_binary64_3527
distribute-lft-neg-in_binary64_3445 distribute-rgt-neg-in_binary64_3446 sub-neg_binary64_3481
difference-of-squares_binary64_3457 rem-log-exp_binary64_3529 flip3--_binary64_3492 associate-*r/_binary64_3430 associate--l-_binary64_3426 flip--_binary64_3463
unswap-sqr_binary64_3456 diff-log_binary64_3580 cbrt-unprod_binary64_3521 pow-prod-down_binary64_3559 neg-mul-1_binary64_3484 distribute-lft-neg-out_binary64_3447 *-commutative_binary64_3419 prod-exp_binary64_3537
Counts
4 → 117
Calls

4 calls:

15.0ms
(*.f64 (neg.f64 c_p) (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))))
12.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
4.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
4.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

series256.0ms (0.2%)

Counts
4 → 12
Calls

4 calls:

107.0ms
(*.f64 (neg.f64 c_p) (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))))
68.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
40.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
40.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

simplify98.0ms (0.1%)

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
048453090
148453090

prune226.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1281129
Fresh112
Picked011
Done000
Total1293132
Error
0.0b
Counts
132 → 3
Compiler

Compiled 4846 to 3063 computations (36.8% saved)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 s (+.f64 1/2 (*.f64 s 1/8)))
0.0b
(+.f64 (*.f64 c_p (+.f64 (*.f64 s (-.f64 1/2 (*.f64 s 1/8))) (*.f64 t -1/2))) (*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 1/2 (*.f64 s 1/8))))))
0.0b
(*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 1/2 (*.f64 s 1/8)))))
0.3b
(*.f64 c_p (+.f64 (*.f64 s (-.f64 1/2 (*.f64 s 1/8))) (*.f64 t -1/2)))

rewrite40.0ms (0%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64_3510
14×associate-*r/_binary64_3430
10×add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526 add-cube-cbrt_binary64_3523 *-un-lft-identity_binary64_3488 pow1_binary64_3549
associate-*l*_binary64_3429 associate-*r*_binary64_3428
distribute-lft-in_binary64_3437 distribute-rgt-in_binary64_3438
add-log-exp_binary64_3527
flip-+_binary64_3462 flip3-+_binary64_3491
frac-add_binary64_3496 cancel-sign-sub-inv_binary64_3454 associate-+r+_binary64_3420 sub-neg_binary64_3481
unswap-sqr_binary64_3456 flip3--_binary64_3492 cbrt-unprod_binary64_3521 pow-prod-down_binary64_3559 flip--_binary64_3463 *-commutative_binary64_3419 prod-exp_binary64_3537
associate-+l+_binary64_3421
+-commutative_binary64_3418 sum-log_binary64_3579
Counts
4 → 89
Calls

4 calls:

10.0ms
(+.f64 (*.f64 c_p (+.f64 (*.f64 s (-.f64 1/2 (*.f64 s 1/8))) (*.f64 t -1/2))) (*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 1/2 (*.f64 s 1/8))))))
9.0ms
(*.f64 c_p (+.f64 (*.f64 s (-.f64 1/2 (*.f64 s 1/8))) (*.f64 t -1/2)))
6.0ms
(*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 1/2 (*.f64 s 1/8)))))
5.0ms
(*.f64 s (+.f64 1/2 (*.f64 s 1/8)))

series268.0ms (0.2%)

Counts
4 → 12
Calls

4 calls:

116.0ms
(+.f64 (*.f64 c_p (+.f64 (*.f64 s (-.f64 1/2 (*.f64 s 1/8))) (*.f64 t -1/2))) (*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 1/2 (*.f64 s 1/8))))))
64.0ms
(*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 1/2 (*.f64 s 1/8)))))
54.0ms
(*.f64 c_p (+.f64 (*.f64 s (-.f64 1/2 (*.f64 s 1/8))) (*.f64 t -1/2)))
34.0ms
(*.f64 s (+.f64 1/2 (*.f64 s 1/8)))

simplify71.0ms (0%)

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049573016
149573016

prune176.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1010101
Fresh011
Picked011
Done011
Total1013104
Error
0.0b
Counts
104 → 3
Compiler

Compiled 3917 to 2838 computations (27.5% saved)

regimes543.0ms (0.4%)

Compiler

Compiled 7423 to 6666 computations (10.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05533
15533

end0.0ms (0%)

sample2.1min (86%)

Algorithm
intervals
Results
1.9min5115×body8192exit
5.5s3719×body1024overflowed
4.2s23207×body128overflowed
1.6s2008×body512overflowed
933.0ms37676×pre128true
389.0ms940×body256overflowed
311.0ms2634×body128valid
81.0msbody8192valid
47.0msbody4096valid
30.0ms19×body1024valid
7.0ms10×body512valid
5.0msbody2048valid
2.0msbody256valid
0.0msbody128invalid
Compiler

Compiled 50 to 44 computations (12% saved)

Profiling

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