Details

Time bar (total: 2.2s)

sample26.0ms

Algorithm
intervals
Results
12.0ms297×body80valid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1314
2714
31364
42114
52854
63504
73964
84084
94084

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.0b
(* (- x (/ 16.0 116.0)) 3.0)
0.1b
(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
7×associate-*l*
6×add-cube-cbrt associate-*r* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod difference-of-squares
3×flip3-- flip--
2×times-frac *-commutative distribute-lft-out--
1×sub-neg diff-log unswap-sqr
Counts
3 → 58
Calls
3 calls:
6.0ms
(- x (/ 16.0 116.0))
12.0ms
(* (- x (/ 16.0 116.0)) 3.0)
10.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series103.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(- x (/ 16.0 116.0))
43.0ms
(* (- x (/ 16.0 116.0)) 3.0)
37.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify99.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0223336
1883287
24460287
35001287

prune108.0ms

Filtered
67 candidates to 45 candidates (67.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New63467
Fresh000
Picked011
Done000
Total63568

Merged error: 0.0b

Counts
68 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.3b
(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
7×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
6×associate-*l*
4×add-log-exp difference-of-squares
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×flip3-- times-frac associate-*l/ flip-- distribute-lft-out--
1×sub-neg diff-log associate-*r* *-commutative
Counts
2 → 38
Calls
2 calls:
6.0ms
(- x (/ 16.0 116.0))
10.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series62.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(- x (/ 16.0 116.0))
37.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify69.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0187232
1601197
22588197
35002197

prune65.0ms

Filtered
44 candidates to 28 candidates (63.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New43144
Fresh033
Picked011
Done011
Total43649

Merged error: 0b

Counts
49 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.0b
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
0.1b
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
0.8b
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log
20×add-cbrt-cube
19×add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
12×*-un-lft-identity associate-*l/
10×associate-*r*
8×add-cube-cbrt associate-*l*
6×add-log-exp
4×flip3-- flip-- difference-of-squares
3×cbrt-prod *-commutative
2×times-frac distribute-lft-out--
1×sub-neg diff-log unswap-sqr
Counts
4 → 91
Calls
4 calls:
6.0ms
(- x (/ 16.0 116.0))
13.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
17.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
15.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series357.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- x (/ 16.0 116.0))
119.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
95.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
121.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0358854
11703656
25002612

prune170.0ms

Filtered
103 candidates to 65 candidates (63.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1030103
Fresh033
Picked011
Done022
Total1036109

Merged error: 0b

Counts
109 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
0.3b
(* (/ (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) (+ x (/ 16.0 116.0))) (* 3.0 y))
8.9b
(/ (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) (+ x (/ 16.0 116.0)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
32×times-frac
22×add-sqr-sqrt add-cube-cbrt associate-*l*
17×add-exp-log add-cbrt-cube
10×difference-of-squares
9×distribute-lft-out
8×pow1
6×prod-exp cbrt-unprod
5×add-log-exp
4×associate-/r* associate-/r/ associate-/l*
3×cbrt-undiv div-exp pow-prod-down
2×flip3-- flip3-+ flip-- flip-+ div-inv associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*r* associate-*l/ clear-num *-commutative
Counts
3 → 96
Calls
3 calls:
4.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
14.0ms
(* (/ (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) (+ x (/ 16.0 116.0))) (* 3.0 y))
11.0ms
(/ (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) (+ x (/ 16.0 116.0)))

series189.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
64.0ms
(* (/ (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) (+ x (/ 16.0 116.0))) (* 3.0 y))
85.0ms
(/ (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) (+ x (/ 16.0 116.0)))

simplify65.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04631181
121171019
250011008

prune166.0ms

Filtered
105 candidates to 73 candidates (69.5%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1050105
Fresh022
Picked011
Done033
Total1056111

Merged error: 0b

Counts
111 → 6

regimes107.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample356.0ms

Algorithm
intervals
Results
208.0ms9199×body80valid