Details

Time bar (total: 2.5min)

analyze6.3s (4.2%)

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)

sample19.7s (13.1%)

Algorithm
intervals
Results
17.5s485×body8192exit
870.0ms369×body1024overflowed
614.0ms2107×body128overflowed
233.0ms189×body512overflowed
141.0ms3497×pre128true
58.0ms91×body256overflowed
51.0ms251×body128valid
13.0msbody4096valid
3.0msbody1024valid
2.0msbody512valid
1.0msbody256valid
Compiler

Compiled 93 to 79 computations (15.1% saved)

simplify201.0ms (0.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
0503668

prune9.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.8b

Counts
2 → 1
Compiler

Compiled 86 to 70 computations (18.6% saved)

localize36.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
0.5b
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
1.2b
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
5.7b
(/.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)))

rewrite211.0ms (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:

57.0ms
(/.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)))
19.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
13.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
9.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)

series1.2s (0.8%)

Counts
4 → 12
Calls

4 calls:

1.0s
(/.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)))
82.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
74.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
31.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify341.0ms (0.2%)

Algorithm
egg-herbie
Counts
501 → 501
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
0503827612

prune1.9s (1.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4965501
Fresh000
Picked101
Done000
Total4975502

Merged error: 0.0b

Counts
502 → 5
Compiler

Compiled 21830 to 13903 computations (36.3% saved)

localize61.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
1.3b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
10.4b
(-.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)))))))
10.5b
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

rewrite81.0ms (0.1%)

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:

35.0ms
(-.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)))))))
19.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
6.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
4.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

series368.0ms (0.2%)

Counts
4 → 12
Calls

4 calls:

184.0ms
(-.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)))))))
82.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
53.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
49.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

simplify106.0ms (0.1%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
052283205

prune376.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1173120
Fresh404
Picked101
Done000
Total1223125

Merged error: 0.0b

Counts
125 → 3
Compiler

Compiled 5997 to 3958 computations (34% saved)

localize34.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b
(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
0.0b
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
0.2b
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))
10.4b
(-.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)))))))

rewrite86.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt_binary64_3510
62×*-un-lft-identity_binary64_3488
33×log-prod_binary64_3574
28×times-frac_binary64_3494
25×difference-of-squares_binary64_3457
22×cancel-sign-sub-inv_binary64_3454
20×add-cube-cbrt_binary64_3523
12×distribute-lft-out--_binary64_3440 pow1_binary64_3549
11×associate--r+_binary64_3424 associate--l+_binary64_3425
10×associate-*l*_binary64_3429
add-exp-log_binary64_3526
log-pow_binary64_3577 add-cbrt-cube_binary64_3524 log-div_binary64_3575 add-log-exp_binary64_3527
flip3--_binary64_3492 flip--_binary64_3463 div-inv_binary64_3485
distribute-lft-neg-in_binary64_3445 distribute-lft-out_binary64_3439 distribute-rgt-neg-in_binary64_3446 associate-*r*_binary64_3428
flip-+_binary64_3462 diff-log_binary64_3580 flip3-+_binary64_3491 associate-/r/_binary64_3434 associate-*r/_binary64_3430 associate--r-_binary64_3427 associate--l-_binary64_3426 sub-neg_binary64_3481
distribute-lft-in_binary64_3437 rem-log-exp_binary64_3529 distribute-rgt-in_binary64_3438 unswap-sqr_binary64_3456 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 → 135
Calls

4 calls:

28.0ms
(-.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)))))))
15.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
12.0ms
(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
8.0ms
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))

series363.0ms (0.2%)

Counts
4 → 12
Calls

4 calls:

142.0ms
(-.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)))))))
101.0ms
(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
87.0ms
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))
32.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify110.0ms (0.1%)

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
050924018

prune486.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1461147
Fresh112
Picked101
Done000
Total1482150

Merged error: 0.0b

Counts
150 → 2
Compiler

Compiled 7000 to 4957 computations (29.2% saved)

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2)))) (*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 1/2 (*.f64 s 1/8))))))
0.0b
(*.f64 s (+.f64 1/2 (*.f64 s 1/8)))
0.2b
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))
0.9b
(*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 1/2 (*.f64 s 1/8)))))

rewrite54.0ms (0%)

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt_binary64_3510
16×associate-*l*_binary64_3429
14×associate-*r/_binary64_3430
12×add-cube-cbrt_binary64_3523 *-un-lft-identity_binary64_3488
10×add-cbrt-cube_binary64_3524 add-exp-log_binary64_3526 pow1_binary64_3549
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
distribute-lft-neg-in_binary64_3445 unswap-sqr_binary64_3456 flip3--_binary64_3492 distribute-rgt-neg-in_binary64_3446 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 neg-mul-1_binary64_3484 distribute-lft-neg-out_binary64_3447 sum-log_binary64_3579
Counts
4 → 97
Calls

4 calls:

12.0ms
(*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 1/2 (*.f64 s 1/8)))))
10.0ms
(+.f64 (*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2)))) (*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 1/2 (*.f64 s 1/8))))))
9.0ms
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))
6.0ms
(*.f64 s (+.f64 1/2 (*.f64 s 1/8)))

series415.0ms (0.3%)

Counts
4 → 12
Calls

4 calls:

184.0ms
(+.f64 (*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2)))) (*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 1/2 (*.f64 s 1/8))))))
106.0ms
(*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 1/2 (*.f64 s 1/8)))))
90.0ms
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))
34.0ms
(*.f64 s (+.f64 1/2 (*.f64 s 1/8)))

simplify96.0ms (0.1%)

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
051423203

prune242.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1090109
Fresh011
Picked011
Done000
Total1092111

Merged error: 0.0b

Counts
111 → 2
Compiler

Compiled 4243 to 3004 computations (29.2% saved)

regimes891.0ms (0.6%)

Compiler

Compiled 10399 to 9035 computations (13.1% saved)

bsearch0.0ms (0%)

simplify7.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
015142
115142

end0.0ms (0%)

sample1.9min (77.5%)

Algorithm
intervals
Results
1.7min3538×body8192exit
5.1s2686×body1024overflowed
3.9s16598×body128overflowed
1.5s1481×body512overflowed
888.0ms27019×pre128true
372.0ms703×body256overflowed
301.0ms1968×body128valid
194.0msbody8192valid
35.0msbody4096valid
34.0ms16×body1024valid
8.0msbody512valid
4.0msbody2048valid
3.0msbody256valid
1.0msbody128invalid
Compiler

Compiled 50 to 44 computations (12% saved)

Profiling

Loading profile data...