Details

Time bar (total: 6.3s)

analyze1.5s

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
1.2%98.5%0.3%13
1.8%97.9%0.3%14

sample43.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
6.0ms117×body80invalid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
098217
198217

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16.0))
0.0b
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16.0)) (/.f64 (*.f64 a b) 4.0)) c)
0.0b
(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16.0)) (/.f64 (*.f64 a b) 4.0))
0.2b
(/.f64 (*.f64 z t) 16.0)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp_binary64
13×*-un-lft-identity_binary64
9×add-exp-log_binary64 add-cbrt-cube_binary64
8×add-sqr-sqrt_binary64
6×add-cube-cbrt_binary64 sum-log_binary64
4×pow1_binary64 diff-log_binary64
3×flip3-+_binary64 associate-/r*_binary64 times-frac_binary64 flip-+_binary64
2×sub-neg_binary64 distribute-lft-out_binary64 cbrt-undiv_binary64 associate-+l+_binary64 distribute-lft-out--_binary64 div-exp_binary64 +-commutative_binary64 frac-sub_binary64 associate--l+_binary64
1×flip3--_binary64 cbrt-unprod_binary64 associate-+l-_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 difference-of-squares_binary64 associate-/l*_binary64 div-inv_binary64 flip--_binary64
Counts
4 → 67
Calls
4 calls:
6.0ms
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16.0))
13.0ms
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16.0)) (/.f64 (*.f64 a b) 4.0)) c)
10.0ms
(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16.0)) (/.f64 (*.f64 a b) 4.0))
5.0ms
(/.f64 (*.f64 z t) 16.0)

series106.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16.0))
57.0ms
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16.0)) (/.f64 (*.f64 a b) 4.0)) c)
31.0ms
(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16.0)) (/.f64 (*.f64 a b) 4.0))
4.0ms
(/.f64 (*.f64 z t) 16.0)

simplify41.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
049951191
149951191

prune110.0ms

Filtered
61 candidates to 79 candidates (-29.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New75479
Fresh000
Picked101
Done000
Total76480

Merged error: 0.0b

Counts
80 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0)))
0.0b
(+.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0))) (/.f64 (*.f64 a b) 4.0)) c)
0.0b
(-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0))) (/.f64 (*.f64 a b) 4.0))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp_binary64
10×*-un-lft-identity_binary64
6×sum-log_binary64
5×add-sqr-sqrt_binary64
4×diff-log_binary64
3×flip3-+_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip-+_binary64
2×sub-neg_binary64 distribute-lft-out_binary64 associate-+l+_binary64 distribute-lft-out--_binary64 +-commutative_binary64 frac-sub_binary64 associate--l+_binary64
1×flip3--_binary64 associate-+l-_binary64 difference-of-squares_binary64 flip--_binary64
Counts
3 → 46
Calls
3 calls:
4.0ms
(+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0)))
11.0ms
(+.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0))) (/.f64 (*.f64 a b) 4.0)) c)
11.0ms
(-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0))) (/.f64 (*.f64 a b) 4.0))

series95.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0)))
53.0ms
(+.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0))) (/.f64 (*.f64 a b) 4.0)) c)
29.0ms
(-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16.0))) (/.f64 (*.f64 a b) 4.0))

simplify37.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
051301042

prune73.0ms

Filtered
43 candidates to 55 candidates (-27.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New55055
Fresh033
Picked011
Done000
Total55459

Merged error: 0.0b

Counts
59 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0))) (cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0))))
0.6b
(cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0)))
0.6b
(cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0)))
0.6b
(cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-div_binary64
43×cbrt-prod_binary64
37×add-sqr-sqrt_binary64
35×*-un-lft-identity_binary64
26×frac-sub_binary64
16×frac-times_binary64
15×add-cube-cbrt_binary64
13×flip3-+_binary64 flip3--_binary64 flip--_binary64 flip-+_binary64
11×pow1_binary64
10×swap-sqr_binary64
9×pow1/3_binary64 distribute-lft-out--_binary64
8×associate-*r*_binary64 associate-*l*_binary64
7×difference-of-squares_binary64
6×add-exp-log_binary64
4×add-log-exp_binary64 associate-*r/_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64 associate-*l/_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
1×cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 123
Calls
4 calls:
26.0ms
(*.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0))) (cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0))))
10.0ms
(cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0)))
10.0ms
(cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0)))
12.0ms
(cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0)))

series361.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(*.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0))) (cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0))))
74.0ms
(cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0)))
74.0ms
(cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0)))
76.0ms
(cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0)))

simplify61.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
049575002
149575002

prune265.0ms

Filtered
101 candidates to 135 candidates (-33.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1350135
Fresh022
Picked011
Done011
Total1354139

Merged error: 0.0b

Counts
139 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (+.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0)) c))
0.2b
(/.f64 (*.f64 z t) 16.0)
0.2b
(/.f64 (*.f64 z t) 16.0)
0.3b
(*.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0)) c)) (sqrt.f64 (+.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0)) c)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity_binary64
43×sqrt-prod_binary64
30×add-sqr-sqrt_binary64
20×pow1_binary64
18×distribute-lft-out_binary64
17×add-cube-cbrt_binary64
16×swap-sqr_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
14×sqrt-div_binary64
9×pow1/2_binary64 sqrt-pow1_binary64 distribute-lft-out--_binary64
8×associate-*r*_binary64 associate-*l*_binary64
7×flip3-+_binary64 flip-+_binary64
6×associate-/r*_binary64 times-frac_binary64
5×pow-prod-up_binary64
4×add-log-exp_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 div-exp_binary64 frac-times_binary64
3×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64 pow-sqr_binary64
2×associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 associate-*l/_binary64
1×rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 rem-sqrt-square_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 128
Calls
4 calls:
13.0ms
(sqrt.f64 (+.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0)) c))
5.0ms
(/.f64 (*.f64 z t) 16.0)
5.0ms
(/.f64 (*.f64 z t) 16.0)
33.0ms
(*.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0)) c)) (sqrt.f64 (+.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0)) c)))

series690.0ms

Counts
4 → 12
Calls
4 calls:
625.0ms
(sqrt.f64 (+.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0)) c))
4.0ms
(/.f64 (*.f64 z t) 16.0)
4.0ms
(/.f64 (*.f64 z t) 16.0)
56.0ms
(*.f64 (sqrt.f64 (+.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0)) c)) (sqrt.f64 (+.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16.0) (*.f64 x y)) (/.f64 (*.f64 a b) 4.0)) c)))

simplify35.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
052672582

prune120.0ms

Filtered
77 candidates to 140 candidates (-81.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1400140
Fresh011
Picked011
Done022
Total1404144

Merged error: 0.0b

Counts
144 → 4

regimes1.2s

Accuracy

0% (0.0b 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
05517
15517

end0.0ms

sample1.2s

Algorithm
intervals
Results
484.0ms8000×body80valid
246.0ms3909×body80invalid

Profiling

Loading profile data...