Details

Time bar (total: 3.8s)

analyze893.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
4.7%95.1%0.2%10
12.7%87.1%0.2%11
15.9%83.9%0.2%12
24.9%74.9%0.2%13
26.2%73.6%0.2%14

sample25.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms21×body80invalid

simplify338.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (329.0ms)

IterNodesCost
0560216

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.2b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
0.0b
(*.f64 y (-.f64 z t))
8.8b
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64
associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 associate-*r*_binary64 times-frac_binary64
associate-*r/_binary64
flip3--_binary64 associate-*l*_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip--_binary64
associate-/l/_binary64 sub-neg_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-/r/_binary64 prod-exp_binary64 div-exp_binary64
pow-prod-down_binary64 flip3-+_binary64 distribute-lft-out_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
3 → 65
Calls
3 calls:
8.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
7.0ms
(*.f64 y (-.f64 z t))
10.0ms
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

series213.0ms

Counts
3 → 9
Calls
3 calls:
106.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
28.0ms
(*.f64 y (-.f64 z t))
79.0ms
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

simplify69.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
059791037

prune55.0ms

Filtered
53 candidates to 74 candidates (-39.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New68674
Fresh000
Picked011
Done000
Total68775

Merged error: 0b

Counts
75 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
0.0b
(/.f64 (-.f64 z t) (-.f64 a t))
2.0b
(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt_binary64
71×*-un-lft-identity_binary64
51×times-frac_binary64
31×associate-*r*_binary64
27×add-cube-cbrt_binary64
22×difference-of-squares_binary64 distribute-lft-out--_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 associate-/l*_binary64
associate-/r/_binary64
flip3--_binary64 associate-*l*_binary64 flip--_binary64
associate-/l/_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64
pow-prod-down_binary64 flip3-+_binary64 associate-*r/_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
3 → 113
Calls
3 calls:
4.0ms
(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
9.0ms
(/.f64 (-.f64 z t) (-.f64 a t))
15.0ms
(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

series239.0ms

Counts
3 → 9
Calls
3 calls:
110.0ms
(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
46.0ms
(/.f64 (-.f64 z t) (-.f64 a t))
84.0ms
(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

simplify72.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050502068

prune66.0ms

Filtered
81 candidates to 122 candidates (-50.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1211122
Fresh145
Picked101
Done011
Total1236129

Merged error: 0b

Counts
129 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
0.0b
(/.f64 (-.f64 a t) (-.f64 z t))
2.0b
(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac_binary64
197×*-un-lft-identity_binary64
195×add-sqr-sqrt_binary64
91×add-cube-cbrt_binary64
52×difference-of-squares_binary64 distribute-lft-out--_binary64
36×associate-/r*_binary64
11×associate-/r/_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l*_binary64
flip3--_binary64 div-inv_binary64 flip--_binary64
add-log-exp_binary64
cbrt-undiv_binary64 div-exp_binary64
pow1_binary64
associate-/l/_binary64 clear-num_binary64 frac-2neg_binary64
flip3-+_binary64 distribute-lft-out_binary64 div-sub_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
3 → 206
Calls
3 calls:
34.0ms
(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
9.0ms
(/.f64 (-.f64 a t) (-.f64 z t))
14.0ms
(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

series329.0ms

Counts
3 → 9
Calls
3 calls:
153.0ms
(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
39.0ms
(/.f64 (-.f64 a t) (-.f64 z t))
137.0ms
(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

simplify109.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049845201
149845201

prune117.0ms

Filtered
145 candidates to 215 candidates (-48.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2141215
Fresh134
Picked011
Done011
Total2156221

Merged error: 0b

Counts
221 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (*.f64 y (*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))))
0.0b
(/.f64 1 (-.f64 a t))
0.3b
(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))
2.0b
(*.f64 y (*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt_binary64
42×*-un-lft-identity_binary64
32×add-exp-log_binary64 times-frac_binary64
25×add-cube-cbrt_binary64
22×associate-*r*_binary64
20×add-cbrt-cube_binary64
13×prod-exp_binary64
12×pow1_binary64
associate-*r/_binary64 associate-*l*_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
cbrt-unprod_binary64
add-log-exp_binary64 flip3--_binary64 div-exp_binary64 flip--_binary64
associate-/r*_binary64
pow-prod-down_binary64 associate-/r/_binary64 frac-times_binary64 associate-*l/_binary64
1-exp_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 rec-exp_binary64 associate-/l*_binary64
un-div-inv_binary64 div-inv_binary64 *-commutative_binary64
flip3-+_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 +-commutative_binary64 pow-flip_binary64 flip-+_binary64 sum-log_binary64
Counts
4 → 130
Calls
4 calls:
4.0ms
(+.f64 x (*.f64 y (*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))))
6.0ms
(/.f64 1 (-.f64 a t))
15.0ms
(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))
16.0ms
(*.f64 y (*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))))

series243.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(+.f64 x (*.f64 y (*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))))
22.0ms
(/.f64 1 (-.f64 a t))
41.0ms
(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))
75.0ms
(*.f64 y (*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))))

simplify75.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
051361917

prune70.0ms

Filtered
89 candidates to 142 candidates (-59.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1420142
Fresh033
Picked011
Done022
Total1426148

Merged error: 0b

Counts
148 → 6

regimes90.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02416
12416

end0.0ms

sample597.0ms

Algorithm
intervals
Results
292.0ms7998×body80valid
30.0ms762×body80invalid
0.0msbody640valid
0.0msbody160valid

Profiling

Loading profile data...