Details

Time bar (total: 4.0s)

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14

sample17.0ms

Algorithm
intervals
Results
11.0ms256×body128valid

simplify122.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (115.0ms)

IterNodesCost
0458328
1458328

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
0.0b
(*.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x))
0.0b
(*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))
19.5b
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt_binary64
18×*-un-lft-identity_binary64
16×add-cube-cbrt_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64 times-frac_binary64
9×associate-*r*_binary64
8×pow1_binary64
6×add-log-exp_binary64 associate-*l*_binary64
4×flip3-+_binary64 associate-*r/_binary64 flip-+_binary64
3×associate-/r*_binary64 associate-/l*_binary64
2×pow-prod-down_binary64 associate-/l/_binary64 sub-neg_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 associate-/r/_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 difference-of-squares_binary64 *-commutative_binary64
1×flip3--_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 distribute-lft-out--_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 flip--_binary64 sum-log_binary64
Counts
4 → 89
Calls
4 calls:
3.0ms
(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
15.0ms
(*.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x))
6.0ms
(*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))
7.0ms
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

series225.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
59.0ms
(*.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x))
80.0ms
(*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))
44.0ms
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

simplify102.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
050672369

prune135.0ms

Filtered
74 candidates to 101 candidates (-36.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New983101
Fresh000
Picked101
Done000
Total993102

Merged error: 0b

Counts
102 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))))
0.1b
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))) (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))))
19.4b
(sqrt.f64 (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
19.4b
(sqrt.f64 (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt_binary64
76×times-frac_binary64
53×*-un-lft-identity_binary64
47×add-cube-cbrt_binary64 sqrt-prod_binary64
24×associate-*r*_binary64 add-exp-log_binary64 associate-*l*_binary64
18×add-cbrt-cube_binary64
15×unswap-sqr_binary64
10×pow1_binary64 sqrt-div_binary64
6×associate-/r*_binary64 associate-/r/_binary64 prod-exp_binary64 div-exp_binary64
5×flip3-+_binary64 cbrt-undiv_binary64 flip-+_binary64
4×add-log-exp_binary64 cbrt-unprod_binary64
3×pow1/2_binary64 sqrt-pow1_binary64 rec-exp_binary64 associate-/l*_binary64 div-inv_binary64 pow-flip_binary64
2×rem-sqrt-square_binary64
1×pow-prod-down_binary64 associate-*r/_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 161
Calls
4 calls:
6.0ms
(/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))))
29.0ms
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))) (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))))
3.0ms
(sqrt.f64 (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
3.0ms
(sqrt.f64 (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

series175.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))))
52.0ms
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))) (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))))
37.0ms
(sqrt.f64 (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
40.0ms
(sqrt.f64 (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

simplify124.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049426074
149426074

prune307.0ms

Filtered
109 candidates to 173 candidates (-58.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1730173
Fresh022
Picked011
Done000
Total1733176

Merged error: 0b

Counts
176 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

19.5b
(/.f64 (*.f64 6369080665019903/9007199254740992 (-.f64 (*.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))) (*.f64 x x))) (+.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x))
19.5b
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
19.5b
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
19.5b
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity_binary64
31×times-frac_binary64
30×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
15×add-exp-log_binary64 add-cbrt-cube_binary64
13×associate-/r*_binary64
10×associate-/l*_binary64
8×associate-/l/_binary64 associate-/r/_binary64
7×flip3-+_binary64 flip-+_binary64
5×cbrt-undiv_binary64 div-exp_binary64
4×add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
2×distribute-lft-out_binary64 associate-*r/_binary64
1×flip3--_binary64 cbrt-unprod_binary64 prod-exp_binary64 flip--_binary64
Counts
4 → 120
Calls
4 calls:
30.0ms
(/.f64 (*.f64 6369080665019903/9007199254740992 (-.f64 (*.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))) (*.f64 x x))) (+.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x))
7.0ms
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
8.0ms
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
7.0ms
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

series239.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(/.f64 (*.f64 6369080665019903/9007199254740992 (-.f64 (*.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))) (*.f64 x x))) (+.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x))
35.0ms
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
34.0ms
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
40.0ms
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

simplify114.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049074494
149074494

prune418.0ms

Filtered
107 candidates to 132 candidates (-23.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1320132
Fresh011
Picked011
Done011
Total1323135

Merged error: 0b

Counts
135 → 3

localize29.0ms

Local error

Found 4 expressions with local error:

19.5b
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
19.5b
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
19.5b
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
24.5b
(/.f64 (*.f64 6369080665019903/9007199254740992 (-.f64 (pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3) (pow.f64 x 3))) (+.f64 (*.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x))))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64
15×add-exp-log_binary64 add-cbrt-cube_binary64
14×associate-/r/_binary64
12×associate-/r*_binary64
10×flip3-+_binary64 associate-/l*_binary64 flip-+_binary64
8×associate-/l/_binary64
6×frac-add_binary64
5×cbrt-undiv_binary64 div-exp_binary64
4×add-log-exp_binary64 pow1_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
2×frac-times_binary64 associate-*l/_binary64
1×flip3--_binary64 cbrt-unprod_binary64 prod-exp_binary64 flip--_binary64
Counts
4 → 124
Calls
4 calls:
7.0ms
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
7.0ms
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
7.0ms
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
62.0ms
(/.f64 (*.f64 6369080665019903/9007199254740992 (-.f64 (pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3) (pow.f64 x 3))) (+.f64 (*.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x))))

series324.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
38.0ms
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
36.0ms
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
213.0ms
(/.f64 (*.f64 6369080665019903/9007199254740992 (-.f64 (pow.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) 3) (pow.f64 x 3))) (+.f64 (*.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x))))

simplify102.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051746842

prune729.0ms

Filtered
110 candidates to 136 candidates (-23.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1360136
Fresh000
Picked011
Done022
Total1363139

Merged error: 0b

Counts
139 → 3

regimes17.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03850
13850

end0.0ms

sample444.0ms

Algorithm
intervals
Results
352.0ms8000×body128valid

Profiling

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