Details

Time bar (total: 2.5min)

analyze3.6s (2.4%)

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)

sample12.5s (8.4%)

Algorithm
intervals
Results
11.1s478×body8192exit
514.0ms351×body1024overflowed
401.0ms2151×body128overflowed
137.0ms171×body512overflowed
93.0ms3495×pre128true
56.0msbody8192valid
37.0ms88×body256overflowed
29.0ms249×body128valid
5.0msbody4096valid
1.0msbody1024valid
1.0msbody256valid
Compiler

Compiled 93 to 79 computations (15.1% saved)

simplify155.0ms (0.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
0503668

prune5.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
7.3b
Counts
2 → 1
Compiler

Compiled 86 to 70 computations (18.6% saved)

localize23.0ms (0%)

Local error

Found 4 expressions with local error:

0.3b
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
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)
4.2b
(/.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)))

rewrite173.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
1192×add-exp-log_binary64_2503
692×pow-exp_binary64_2533
684×prod-exp_binary64_2514
593×div-exp_binary64_2516
344×pow-to-exp_binary64_2534
116×rec-exp_binary64_2515 1-exp_binary64_2509
56×*-un-lft-identity_binary64_2465
41×times-frac_binary64_2471 add-sqr-sqrt_binary64_2487
36×unpow-prod-down_binary64_2544
30×add-cube-cbrt_binary64_2500
18×cancel-sign-sub-inv_binary64_2431
16×add-cbrt-cube_binary64_2501
distribute-lft-out_binary64_2416
pow1_binary64_2526
difference-of-squares_binary64_2434 add-log-exp_binary64_2504 pow-pow_binary64_2537 associate-/r/_binary64_2411 pow-unpow_binary64_2542
div-inv_binary64_2462
cbrt-undiv_binary64_2499 cbrt-unprod_binary64_2498
flip3-+_binary64_2468 flip-+_binary64_2439
inv-pow_binary64_2550 pow-flip_binary64_2539 distribute-lft-out--_binary64_2417 sqr-pow_binary64_2437
associate-/r*_binary64_2409 flip--_binary64_2440 clear-num_binary64_2464 sub-neg_binary64_2458 diff-log_binary64_2557 frac-2neg_binary64_2476 flip3--_binary64_2469 associate-/l*_binary64_2410
Counts
4 → 489
Calls

4 calls:

47.0ms
(/.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
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
11.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
8.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)

series960.0ms (0.6%)

Counts
4 → 12
Calls

4 calls:

816.0ms
(/.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 t)))) c_p)
57.0ms
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
28.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))

simplify259.0ms (0.2%)

Algorithm
egg-herbie
Counts
501 → 501
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
0503827612

prune1.7s (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New4983501
Fresh000
Picked101
Done000
Total4993502
Error
0.5b
Counts
502 → 3
Compiler

Compiled 21730 to 13822 computations (36.4% saved)

localize27.0ms (0%)

Local error

Found 4 expressions with local error:

0.8b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
1.2b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
8.8b
(-.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)))))))
8.8b
(-.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_2465
38×log-prod_binary64_2551 add-sqr-sqrt_binary64_2487
16×pow1_binary64_2526
15×associate--r+_binary64_2401 associate--l+_binary64_2402
14×difference-of-squares_binary64_2434
12×log-div_binary64_2552 log-pow_binary64_2554 add-cube-cbrt_binary64_2500 distribute-lft-out--_binary64_2417
times-frac_binary64_2471 cancel-sign-sub-inv_binary64_2431
add-exp-log_binary64_2503
flip3-+_binary64_2468 associate--r-_binary64_2404 add-log-exp_binary64_2504 flip--_binary64_2440 associate--l-_binary64_2403 flip-+_binary64_2439 add-cbrt-cube_binary64_2501 distribute-lft-out_binary64_2416 flip3--_binary64_2469
sub-neg_binary64_2458 div-inv_binary64_2462 diff-log_binary64_2557 rem-log-exp_binary64_2506
Counts
4 → 108
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)))))))
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 s))))
4.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

series280.0ms (0.2%)

Counts
4 → 12
Calls

4 calls:

126.0ms
(-.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)))))))
66.0ms
(-.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 s))))
43.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

simplify87.0ms (0.1%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
052283205

prune315.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1182120
Fresh112
Picked101
Done000
Total1203123
Error
0.1b
Counts
123 → 3
Compiler

Compiled 5956 to 3927 computations (34.1% saved)

localize28.0ms (0%)

Local error

Found 4 expressions with local error:

0.3b
(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))
0.3b
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
0.5b
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))
8.8b
(-.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)))))))

rewrite76.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt_binary64_2487
62×*-un-lft-identity_binary64_2465
33×log-prod_binary64_2551
28×times-frac_binary64_2471
25×difference-of-squares_binary64_2434
22×cancel-sign-sub-inv_binary64_2431
20×add-cube-cbrt_binary64_2500
12×distribute-lft-out--_binary64_2417 pow1_binary64_2526
11×associate--r+_binary64_2401 associate--l+_binary64_2402
10×associate-*l*_binary64_2406
add-exp-log_binary64_2503
log-div_binary64_2552 add-log-exp_binary64_2504 log-pow_binary64_2554 add-cbrt-cube_binary64_2501
flip--_binary64_2440 div-inv_binary64_2462 flip3--_binary64_2469
distribute-lft-neg-in_binary64_2422 distribute-rgt-neg-in_binary64_2423 associate-*r*_binary64_2405 distribute-lft-out_binary64_2416
flip3-+_binary64_2468 associate--r-_binary64_2404 associate--l-_binary64_2403 flip-+_binary64_2439 associate-*r/_binary64_2407 sub-neg_binary64_2458 diff-log_binary64_2557 associate-/r/_binary64_2411
distribute-lft-in_binary64_2414 *-commutative_binary64_2396 distribute-lft-neg-out_binary64_2424 unswap-sqr_binary64_2433 distribute-rgt-in_binary64_2415 prod-exp_binary64_2514 neg-mul-1_binary64_2461 pow-prod-down_binary64_2536 rem-log-exp_binary64_2506 cbrt-unprod_binary64_2498
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)))))))
12.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
11.0ms
(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))
7.0ms
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))

series300.0ms (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)))))))
90.0ms
(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))))
61.0ms
(*.f64 (neg.f64 c_p) (+.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) -1/2))))
29.0ms
(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))

simplify67.0ms (0%)

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
049684018
149684018

prune400.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1470147
Fresh022
Picked011
Done000
Total1473150
Error
0.1b
Counts
150 → 3
Compiler

Compiled 6961 to 4930 computations (29.2% saved)

localize23.0ms (0%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) 1/2))))
0.8b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
1.2b
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
8.8b
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

rewrite34.0ms (0%)

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity_binary64_2465
16×log-prod_binary64_2551
15×add-sqr-sqrt_binary64_2487
13×pow1_binary64_2526
11×add-cube-cbrt_binary64_2500
log-div_binary64_2552 add-exp-log_binary64_2503
log-pow_binary64_2554
add-cbrt-cube_binary64_2501 cancel-sign-sub-inv_binary64_2431
flip3-+_binary64_2468 associate--r+_binary64_2401 add-log-exp_binary64_2504 flip-+_binary64_2439 distribute-lft-out--_binary64_2417 associate--l+_binary64_2402 distribute-lft-out_binary64_2416
sub-neg_binary64_2458 associate-*r*_binary64_2405 associate-*l*_binary64_2406
associate--r-_binary64_2404 distribute-lft-in_binary64_2414 flip--_binary64_2440 associate--l-_binary64_2403 associate-*r/_binary64_2407 distribute-rgt-in_binary64_2415 flip3--_binary64_2469 rem-log-exp_binary64_2506
difference-of-squares_binary64_2434 *-commutative_binary64_2396 unswap-sqr_binary64_2433 diff-log_binary64_2557 prod-exp_binary64_2514 pow-prod-down_binary64_2536 cbrt-unprod_binary64_2498
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 s))))
4.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

series230.0ms (0.2%)

Counts
4 → 12
Calls

4 calls:

73.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
59.0ms
(*.f64 c_n (-.f64 (*.f64 t 1/2) (*.f64 s (+.f64 (*.f64 s 1/8) 1/2))))
56.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
42.0ms
(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

simplify78.0ms (0.1%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049322002
149322002

prune169.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New97198
Fresh101
Picked101
Done011
Total992101
Error
0.1b
Counts
101 → 2
Compiler

Compiled 3671 to 2337 computations (36.3% saved)

regimes452.0ms (0.3%)

Compiler

Compiled 6069 to 5458 computations (10.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
015142
115142

end0.0ms (0%)

sample2.1min (85.4%)

Algorithm
intervals
Results
1.9min5041×body8192exit
5.6s3858×body1024overflowed
4.1s23199×body128overflowed
1.5s1985×body512overflowed
906.0ms37778×pre128true
402.0ms994×body256overflowed
306.0ms2628×body128valid
248.0ms11×body8192valid
45.0ms30×body1024valid
25.0msbody4096valid
10.0ms16×body512valid
3.0msbody2048valid
3.0msbody256valid
0.0msbody128invalid
Compiler

Compiled 50 to 44 computations (12% saved)

Profiling

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