Details

Time bar (total: 5.3s)

analyze45.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%14%86%0
0%14%86%1
0%14%86%2
0%14%86%3
0%14%86%4
0%14%86%5
0%14%86%6
8.1%5.9%86%7
10.3%3.7%86%8
12.6%1.5%86%9
13.9%0.1%86%10
14%0%86%11
14%0%86%12
14%0%86%13
14%0%86%14

sample33.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
5.0ms256×pre80true

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
0497953
1497953

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 52.7b

Counts
2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 i (+.f64 (+.f64 alpha beta) i))
0.1b
(*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))))
33.8b
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
45.4b
(/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
86×times-frac_binary64
66×associate-/r/_binary64
61×flip3-+_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip-+_binary64
47×*-un-lft-identity_binary64
44×add-sqr-sqrt_binary64
40×frac-times_binary64
34×associate-*r/_binary64
28×add-cube-cbrt_binary64 difference-of-squares_binary64
22×cbrt-unprod_binary64 prod-exp_binary64
20×associate-*l/_binary64
19×cbrt-undiv_binary64 div-exp_binary64
14×difference-of-sqr-1_binary64 associate-/l*_binary64
11×pow1_binary64
associate-/l/_binary64 div-inv_binary64
associate-*r*_binary64
associate-/r*_binary64
pow-prod-down_binary64 add-log-exp_binary64 associate-*l*_binary64
distribute-lft-out_binary64
distribute-lft-in_binary64 distribute-rgt-in_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
flip3--_binary64 unswap-sqr_binary64 flip--_binary64
Counts
4 → 217
Calls
4 calls:
9.0ms
(*.f64 i (+.f64 (+.f64 alpha beta) i))
16.0ms
(*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))))
40.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
26.0ms
(/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))

series495.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(*.f64 i (+.f64 (+.f64 alpha beta) i))
29.0ms
(*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))))
392.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
67.0ms
(/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))

simplify80.0ms

Algorithm
egg-herbie
Counts
229 → 229
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
0501511731

prune269.0ms

Filtered
146 candidates to 229 candidates (-56.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2227229
Fresh000
Picked101
Done000
Total2237230

Merged error: 30.1b

Counts
230 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1))
0.1b
(*.f64 (/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)) (/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)))
31.5b
(/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))
31.7b
(/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac_binary64
200×*-un-lft-identity_binary64
198×add-sqr-sqrt_binary64
117×add-cube-cbrt_binary64
111×associate-*r*_binary64
74×add-exp-log_binary64 add-cbrt-cube_binary64
42×associate-/r/_binary64 associate-*l*_binary64
35×cbrt-undiv_binary64 div-exp_binary64
30×difference-of-squares_binary64
22×flip3-+_binary64 flip-+_binary64
21×div-inv_binary64
19×distribute-lft-out_binary64
17×cbrt-unprod_binary64 prod-exp_binary64
15×difference-of-sqr-1_binary64 distribute-lft-out--_binary64
13×associate-/l*_binary64
10×associate-/r*_binary64
pow1_binary64 unswap-sqr_binary64
associate-/l/_binary64
add-log-exp_binary64
associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64
pow-prod-down_binary64 flip3--_binary64 flip--_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 319
Calls
4 calls:
23.0ms
(/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1))
103.0ms
(*.f64 (/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)) (/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)))
13.0ms
(/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))
11.0ms
(/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))

series437.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1))
360.0ms
(*.f64 (/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)) (/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)))
17.0ms
(/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))
30.0ms
(/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))

simplify107.0ms

Algorithm
egg-herbie
Counts
331 → 331
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
0497814981
1497814981

prune593.0ms

Filtered
224 candidates to 331 candidates (-47.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3265331
Fresh336
Picked101
Done000
Total3308338

Merged error: 30.1b

Counts
338 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1))
0.1b
(*.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)))
31.5b
(/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))
31.7b
(/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log_binary64 add-cbrt-cube_binary64
80×times-frac_binary64
65×*-un-lft-identity_binary64
61×add-sqr-sqrt_binary64
42×associate-*r*_binary64
41×add-cube-cbrt_binary64
40×cbrt-undiv_binary64 div-exp_binary64
21×cbrt-unprod_binary64 prod-exp_binary64
18×associate-/r/_binary64
15×associate-*l*_binary64
13×associate-/r*_binary64
10×flip3-+_binary64 flip-+_binary64
distribute-lft-out_binary64 div-inv_binary64
associate-/l/_binary64
pow1_binary64
associate-/l*_binary64
add-log-exp_binary64 associate-*r/_binary64 unswap-sqr_binary64 difference-of-squares_binary64
clear-num_binary64 frac-2neg_binary64
difference-of-sqr-1_binary64 distribute-lft-out--_binary64 frac-times_binary64 associate-*l/_binary64
pow-prod-down_binary64 flip3--_binary64 flip--_binary64 *-commutative_binary64
Counts
4 → 193
Calls
4 calls:
41.0ms
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1))
43.0ms
(*.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)))
15.0ms
(/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))
11.0ms
(/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))

series319.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1))
154.0ms
(*.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)))
17.0ms
(/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))
30.0ms
(/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))

simplify76.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
050028019

prune220.0ms

Filtered
137 candidates to 205 candidates (-49.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2041205
Fresh257
Picked011
Done000
Total2067213

Merged error: 30.1b

Counts
213 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))
0.0b
(/.f64 (*.f64 (*.f64 i (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))) (/.f64 (/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1))
27.5b
(*.f64 (*.f64 i (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))) (/.f64 (/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)))
31.7b
(/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
210×*-un-lft-identity_binary64
175×times-frac_binary64
91×add-exp-log_binary64 add-cbrt-cube_binary64
90×associate-*r*_binary64 add-sqr-sqrt_binary64
82×add-cube-cbrt_binary64
69×distribute-lft-out_binary64
36×cbrt-undiv_binary64 div-exp_binary64
30×cbrt-unprod_binary64 prod-exp_binary64
16×associate-/r/_binary64
13×associate-/r*_binary64
flip3-+_binary64 pow1_binary64 associate-/l*_binary64 flip-+_binary64
div-inv_binary64
associate-/l/_binary64
associate-*r/_binary64
add-log-exp_binary64 difference-of-squares_binary64
pow-prod-down_binary64 clear-num_binary64 frac-2neg_binary64
difference-of-sqr-1_binary64 distribute-lft-out--_binary64 frac-times_binary64 associate-*l/_binary64
flip3--_binary64 associate-*l*_binary64 flip--_binary64 *-commutative_binary64
Counts
4 → 242
Calls
4 calls:
13.0ms
(/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))
50.0ms
(/.f64 (*.f64 (*.f64 i (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))) (/.f64 (/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1))
43.0ms
(*.f64 (*.f64 i (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))) (/.f64 (/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)))
13.0ms
(/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))

series525.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))
362.0ms
(/.f64 (*.f64 (*.f64 i (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))) (/.f64 (/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1))
118.0ms
(*.f64 (*.f64 i (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))) (/.f64 (/.f64 (+.f64 i (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)))
30.0ms
(/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))

simplify108.0ms

Algorithm
egg-herbie
Counts
254 → 254
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049769674
149769674

prune228.0ms

Filtered
141 candidates to 254 candidates (-80.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2531254
Fresh055
Picked011
Done011
Total2538261

Merged error: 29.1b

Counts
261 → 8

regimes157.0ms

Accuracy

41.1% (3.4b remaining)

Error of 35.5b against oracle of 32.0b and baseline of 37.9b

bsearch24.0ms

Steps
ItersRangePoint
9
5.251291589477456e+155
4.240492208288835e+162
7.795987046005015e+157

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04796
14796

end0.0ms

sample1.0s

Algorithm
intervals
Results
648.0ms8000×body80valid
174.0ms8000×pre80true

Profiling

Loading profile data...