Details

Time bar (total: 17.4s)

analyze2.6s (15.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
0.8%98.9%0.3%13
1.2%98.5%0.3%14
Compiler

Compiled 38 to 31 computations (18.4% saved)

sample43.0ms (0.2%)

Algorithm
intervals
Results
26.0ms256×body128valid
3.0ms31×body128invalid
Compiler

Compiled 75 to 67 computations (10.7% saved)

simplify338.0ms (1.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (142.0ms)

IterNodesCost
0497155
1497155

prune12.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 27.0b

Counts
2 → 1
Compiler

Compiled 74 to 60 computations (18.9% saved)

localize53.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)
0.1b
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)
2.7b
(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
25.3b
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 4288183283079449/281474976710656) z) 4428869650076171/140737488355328) z) 3360836715704971/281474976710656) z) 2737158995491925/4503599627370496))

rewrite120.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt_binary64_12376
15×add-cbrt-cube_binary64_12390 add-exp-log_binary64_12392
12×*-un-lft-identity_binary64_12354 add-cube-cbrt_binary64_12389
10×pow1_binary64_12415
associate-*l*_binary64_12295 associate-*r*_binary64_12294
flip-+_binary64_12328 flip3-+_binary64_12357
cbrt-unprod_binary64_12387 add-log-exp_binary64_12393 associate-*l/_binary64_12297 prod-exp_binary64_12403 associate-*r/_binary64_12296
pow-prod-down_binary64_12425 associate-/r*_binary64_12298 times-frac_binary64_12360 unswap-sqr_binary64_12322 *-commutative_binary64_12285
associate-/l/_binary64_12301 cbrt-undiv_binary64_12388 associate-/r/_binary64_12300 div-exp_binary64_12405
clear-num_binary64_12353 associate-/l*_binary64_12299 div-inv_binary64_12351 frac-2neg_binary64_12365 distribute-lft-in_binary64_12303 distribute-rgt-in_binary64_12304
Counts
4 → 87
Calls

4 calls:

59.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 4288183283079449/281474976710656) z) 4428869650076171/140737488355328) z) 3360836715704971/281474976710656) z) 2737158995491925/4503599627370496))
21.0ms
(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
16.0ms
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)
9.0ms
(*.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)

series1.7s (9.9%)

Counts
4 → 12
Calls

4 calls:

1.2s
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 4288183283079449/281474976710656) z) 4428869650076171/140737488355328) z) 3360836715704971/281474976710656) z) 2737158995491925/4503599627370496))
400.0ms
(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
111.0ms
(*.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)
44.0ms
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)

simplify90.0ms (0.5%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
051363033

prune305.0ms (1.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New91899
Fresh000
Picked101
Done000
Total928100

Merged error: 0.5b

Counts
100 → 8
Compiler

Compiled 4861 to 3274 computations (32.6% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))
0.1b
(*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))
0.1b
(/.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496) (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b)))
24.4b
(/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496) (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b))

rewrite132.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
90×times-frac_binary64_12360
64×add-sqr-sqrt_binary64_12376
60×*-un-lft-identity_binary64_12354 add-cube-cbrt_binary64_12389
18×associate-/r*_binary64_12298
15×add-cbrt-cube_binary64_12390 add-exp-log_binary64_12392
11×associate-/r/_binary64_12300
pow1_binary64_12415 flip-+_binary64_12328 flip3-+_binary64_12357
associate-/l*_binary64_12299 div-inv_binary64_12351 associate-*l*_binary64_12295 associate-*r*_binary64_12294
cbrt-undiv_binary64_12388 add-log-exp_binary64_12393 associate-*r/_binary64_12296 div-exp_binary64_12405
pow-prod-down_binary64_12425 clear-num_binary64_12353 cbrt-unprod_binary64_12387 frac-2neg_binary64_12365 associate-/l/_binary64_12301 prod-exp_binary64_12403 distribute-lft-in_binary64_12303 distribute-rgt-in_binary64_12304 unswap-sqr_binary64_12322 *-commutative_binary64_12285
Counts
4 → 153
Calls

4 calls:

38.0ms
(/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496) (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b))
31.0ms
(/.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496) (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b)))
12.0ms
(*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))
8.0ms
(*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))

series1.7s (9.7%)

Counts
4 → 12
Calls

4 calls:

1.2s
(/.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496) (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b)))
320.0ms
(/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496) (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b))
106.0ms
(*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))
68.0ms
(*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))

simplify235.0ms (1.3%)

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
049559759
149559759

prune691.0ms (4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1614165
Fresh257
Picked101
Done000
Total1649173

Merged error: 0.5b

Counts
173 → 9
Compiler

Compiled 9803 to 6508 computations (33.6% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))
0.1b
(*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))
0.2b
(*.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))
24.4b
(/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))

rewrite140.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt_binary64_12376
24×*-un-lft-identity_binary64_12354 add-cube-cbrt_binary64_12389
21×associate-*r*_binary64_12294
19×times-frac_binary64_12360
15×add-cbrt-cube_binary64_12390 add-exp-log_binary64_12392
10×pow1_binary64_12415
associate-*l*_binary64_12295
associate-*r/_binary64_12296 flip-+_binary64_12328 flip3-+_binary64_12357
cbrt-unprod_binary64_12387 add-log-exp_binary64_12393 associate-/r/_binary64_12300 prod-exp_binary64_12403 unswap-sqr_binary64_12322
pow-prod-down_binary64_12425 associate-/r*_binary64_12298 associate-/l*_binary64_12299 *-commutative_binary64_12285
div-inv_binary64_12351 associate-/l/_binary64_12301 cbrt-undiv_binary64_12388 distribute-lft-in_binary64_12303 distribute-rgt-in_binary64_12304 div-exp_binary64_12405
clear-num_binary64_12353 frac-2neg_binary64_12365
Counts
4 → 109
Calls

4 calls:

55.0ms
(*.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))
39.0ms
(/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))
21.0ms
(*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))
8.0ms
(*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))

series1.6s (9%)

Counts
4 → 12
Calls

4 calls:

1.1s
(*.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))
376.0ms
(/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))
96.0ms
(*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))
47.0ms
(*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))

simplify148.0ms (0.8%)

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
050594972

prune421.0ms (2.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1201121
Fresh178
Picked011
Done000
Total1219130

Merged error: 0.5b

Counts
130 → 9
Compiler

Compiled 6457 to 4354 computations (32.6% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))
0.1b
(*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))
0.2b
(*.f64 y (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (/.f64 1 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))))
24.5b
(*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (/.f64 1 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))

rewrite143.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
32×add-exp-log_binary64_12392
28×add-sqr-sqrt_binary64_12376
22×associate-*r*_binary64_12294 add-cbrt-cube_binary64_12390
18×*-un-lft-identity_binary64_12354
17×add-cube-cbrt_binary64_12389
15×pow1_binary64_12415 prod-exp_binary64_12403
12×associate-*l*_binary64_12295 associate-*r/_binary64_12296
11×times-frac_binary64_12360
cbrt-unprod_binary64_12387
flip-+_binary64_12328 flip3-+_binary64_12357
pow-prod-down_binary64_12425
unswap-sqr_binary64_12322
frac-times_binary64_12364 add-log-exp_binary64_12393 associate-*l/_binary64_12297 div-exp_binary64_12405 *-commutative_binary64_12285
un-div-inv_binary64_12352 rec-exp_binary64_12404 cbrt-undiv_binary64_12388 1-exp_binary64_12398 associate-/r/_binary64_12300 distribute-lft-in_binary64_12303 distribute-rgt-in_binary64_12304
div-inv_binary64_12351
Counts
4 → 114
Calls

4 calls:

52.0ms
(*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (/.f64 1 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))
47.0ms
(*.f64 y (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (/.f64 1 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))))
12.0ms
(*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))
8.0ms
(*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))

series1.5s (8.8%)

Counts
4 → 12
Calls

4 calls:

1.0s
(*.f64 y (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (/.f64 1 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496))))
310.0ms
(*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t)) a)) b) (/.f64 1 (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 z 4288183283079449/281474976710656)) 4428869650076171/140737488355328)) 3360836715704971/281474976710656)) 2737158995491925/4503599627370496)))
115.0ms
(*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656))
65.0ms
(*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656)) t))

simplify119.0ms (0.7%)

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
051314739

prune363.0ms (2.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1260126
Fresh077
Picked011
Done011
Total1269135

Merged error: 0.5b

Counts
135 → 9
Compiler

Compiled 6127 to 4118 computations (32.8% saved)

regimes1.7s (9.9%)

Compiler

Compiled 13244 to 10430 computations (21.2% saved)

bsearch97.0ms (0.6%)

Steps
ItersRangePoint
7
4.578926744661191e+21
1.9748997937096555e+23
1.9432149096306076e+23
11
-1.3852481861292971e+26
-0.011849629405171723
-1.2619159406214884e+26
Compiler

Compiled 1 to 6 computations (-500% saved)

simplify5.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
095111
195111

end0.0ms (0%)

sample3.0s (17.1%)

Algorithm
intervals
Results
897.0ms8000×body128valid
106.0ms869×body128invalid
Compiler

Compiled 1828 to 1427 computations (21.9% saved)

Profiling

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