Details

Time bar (total: 2.5min)

analyze3.2s (2.1%)

Algorithm
search
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)

sample12.4s (8.2%)

Algorithm
intervals
Results
10.9s474×body8192exit
528.0ms357×body1024overflowed
379.0ms2161×body128overflowed
175.0ms227×body512overflowed
93.0ms3577×pre128true
41.0ms101×body256overflowed
29.0ms247×body128valid
25.0msbody4096valid
4.0msbody1024valid
4.0msbody2048overflowed
2.0msbody512valid
0.0msbody256valid
Compiler

Compiled 93 to 79 computations (15.1% saved)

simplify148.0ms (0.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
0503668

prune5.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
9.3b
Counts
2 → 1
Compiler

Compiled 86 to 70 computations (18.6% saved)

localize23.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
0.7b
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
1.5b
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
6.1b
(/.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)))

rewrite177.0ms (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:

49.0ms
(/.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)))
16.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
8.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
8.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)

series959.0ms (0.6%)

Counts
4 → 12
Calls

4 calls:

817.0ms
(/.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)))
58.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
56.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
28.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify241.0ms (0.2%)

Algorithm
egg-herbie
Counts
501 → 501
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
0503827612

prune1.5s (1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New4983501
Fresh000
Picked101
Done000
Total4993502
Error
0.3b
Counts
502 → 3
Compiler

Compiled 21730 to 13822 computations (36.4% saved)

localize25.0ms (0%)

Local error

Found 4 expressions with local error:

0.7b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
1.6b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
6.9b
(-.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)))))))
6.9b
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

rewrite63.0ms (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:

26.0ms
(-.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))))

series269.0ms (0.2%)

Counts
4 → 12
Calls

4 calls:

119.0ms
(-.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)))))))
63.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
45.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
43.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

simplify79.0ms (0.1%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
052283205

prune308.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1182120
Fresh202
Picked101
Done000
Total1212123
Error
0.1b
Counts
123 → 2
Compiler

Compiled 5947 to 3917 computations (34.1% saved)

localize26.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))
0.0b
(*.f64 c_n (-.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))))))))
0.1b
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
6.9b
(-.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)))))))

rewrite93.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
88×add-sqr-sqrt_binary64_3510
79×*-un-lft-identity_binary64_3488
44×log-prod_binary64_3574
33×associate--l+_binary64_3425
32×difference-of-squares_binary64_3457 times-frac_binary64_3494
30×cancel-sign-sub-inv_binary64_3454
25×add-cube-cbrt_binary64_3523
19×distribute-lft-in_binary64_3437 distribute-rgt-in_binary64_3438 pow1_binary64_3549
18×distribute-lft-out--_binary64_3440
13×associate-*l*_binary64_3429
11×log-pow_binary64_3577 associate--r+_binary64_3424 associate-*r*_binary64_3428
add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526 log-div_binary64_3575
flip3--_binary64_3492 flip--_binary64_3463
associate--r-_binary64_3427 add-log-exp_binary64_3527 div-inv_binary64_3485
associate-*r/_binary64_3430 sub-neg_binary64_3481
distribute-lft-neg-in_binary64_3445 distribute-lft-out_binary64_3439 distribute-rgt-neg-in_binary64_3446
unswap-sqr_binary64_3456 flip-+_binary64_3462 diff-log_binary64_3580 flip3-+_binary64_3491 associate-/r/_binary64_3434 cbrt-unprod_binary64_3521 pow-prod-down_binary64_3559 associate--l-_binary64_3426 *-commutative_binary64_3419 prod-exp_binary64_3537
neg-mul-1_binary64_3484 distribute-lft-neg-out_binary64_3447
Counts
4 → 174
Calls

4 calls:

29.0ms
(-.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)))))))
20.0ms
(*.f64 c_n (-.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))))))))
12.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
8.0ms
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))

series406.0ms (0.3%)

Counts
4 → 12
Calls

4 calls:

195.0ms
(*.f64 c_n (-.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))))))))
122.0ms
(-.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)))))))
62.0ms
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))
27.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify94.0ms (0.1%)

Algorithm
egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
056586198

prune478.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1860186
Fresh011
Picked011
Done000
Total1862188
Error
0.1b
Counts
188 → 2
Compiler

Compiled 8954 to 6308 computations (29.6% saved)

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

0.7b
(*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) 1/2))))
0.7b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
1.6b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
6.9b
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

rewrite35.0ms (0%)

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity_binary64_3488
16×log-prod_binary64_3574
15×add-sqr-sqrt_binary64_3510
13×pow1_binary64_3549
11×add-cube-cbrt_binary64_3523
add-exp-log_binary64_3526 log-div_binary64_3575
log-pow_binary64_3577
add-cbrt-cube_binary64_3524 cancel-sign-sub-inv_binary64_3454
distribute-lft-out_binary64_3439 distribute-lft-out--_binary64_3440 flip-+_binary64_3462 associate--r+_binary64_3424 flip3-+_binary64_3491 add-log-exp_binary64_3527 associate--l+_binary64_3425
associate-*l*_binary64_3429 associate-*r*_binary64_3428 sub-neg_binary64_3481
distribute-lft-in_binary64_3437 rem-log-exp_binary64_3529 distribute-rgt-in_binary64_3438 flip3--_binary64_3492 associate-*r/_binary64_3430 associate--r-_binary64_3427 associate--l-_binary64_3426 flip--_binary64_3463
difference-of-squares_binary64_3457 unswap-sqr_binary64_3456 diff-log_binary64_3580 cbrt-unprod_binary64_3521 pow-prod-down_binary64_3559 *-commutative_binary64_3419 prod-exp_binary64_3537
Counts
4 → 86
Calls

4 calls:

11.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
6.0ms
(*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) 1/2))))
4.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
4.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

series222.0ms (0.1%)

Counts
4 → 12
Calls

4 calls:

69.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
62.0ms
(*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) 1/2))))
46.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
45.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

simplify69.0ms (0%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049322002
149322002

prune162.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New98098
Fresh000
Picked011
Done011
Total982100
Error
0.1b
Counts
100 → 2
Compiler

Compiled 3671 to 2337 computations (36.3% saved)

regimes544.0ms (0.4%)

Compiler

Compiled 8672 to 7434 computations (14.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
015142
115142

end0.0ms (0%)

sample2.1min (85.7%)

Algorithm
intervals
Results
1.9min5148×body8192exit
5.5s3898×body1024overflowed
4.0s23515×body128overflowed
1.6s2140×body512overflowed
921.0ms38619×pre128true
420.0ms1077×body256overflowed
312.0ms2759×body128valid
100.0msbody8192valid
65.0ms11×body4096valid
44.0ms27×body1024valid
17.0msbody2048valid
13.0ms19×body512valid
4.0msbody2048overflowed
3.0msbody256valid
1.0msbody128invalid
1.0msbody512invalid
Compiler

Compiled 50 to 44 computations (12% saved)

Profiling

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