Details

Time bar (total: 2.3s)

sample16.0ms

Algorithm
intervals
Results
8.0ms296×body80valid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1314
2714
31364
42114
52854
63504
73964
84084
94084

prune2.0ms

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: 0.5b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.0b
(* (- x (/ 16.0 116.0)) 3.0)
0.4b
(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite28.0ms

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:
9.0ms
(- x (/ 16.0 116.0))
9.0ms
(* (- x (/ 16.0 116.0)) 3.0)
9.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series102.0ms

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)

simplify111.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0223336
1883287
24460287
35001287

prune117.0ms

Filtered
67 candidates to 45 candidates (67.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New62567
Fresh000
Picked011
Done000
Total62668

Merged error: 0.0b

Counts
68 → 6

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))

rewrite16.0ms

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))
9.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series62.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(- x (/ 16.0 116.0))
36.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify63.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 1 (6.0ms)

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
Fresh134
Picked011
Done011
Total44650

Merged error: 0.0b

Counts
50 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
0.6b
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
3.9b
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
9.2b
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
13×*-un-lft-identity
11×pow1 add-sqr-sqrt
10×associate-*l/
9×add-cube-cbrt
7×prod-exp cbrt-unprod
6×associate-*r* add-log-exp
5×associate-*l*
4×flip3-- times-frac pow-prod-down associate-/r* flip--
3×cbrt-undiv div-exp
2×associate-/r/ *-commutative associate-/l/ distribute-lft-out difference-of-squares
1×sub-neg frac-2neg flip3-+ diff-log clear-num flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 83
Calls
4 calls:
3.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
6.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
7.0ms
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
12.0ms
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

series231.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
66.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
53.0ms
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
65.0ms
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

simplify63.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0389941
12188763
25001763

prune170.0ms

Filtered
95 candidates to 64 candidates (67.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New93295
Fresh123
Picked011
Done022
Total947101

Merged error: 0.0b

Counts
101 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- x (/ 16.0 116.0)) 3.0)
0.1b
(* (+ x (/ 16.0 116.0)) (* (- x (/ 16.0 116.0)) 3.0))
3.9b
(* (* (+ x (/ 16.0 116.0)) (* (- x (/ 16.0 116.0)) 3.0)) y)
9.2b
(/ (* (* (+ x (/ 16.0 116.0)) (* (- x (/ 16.0 116.0)) 3.0)) y) (+ x (/ 16.0 116.0)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
42×associate-*l/
34×add-exp-log add-cbrt-cube
20×pow1
18×*-un-lft-identity
17×add-sqr-sqrt
16×prod-exp cbrt-unprod
12×frac-times
11×associate-*l*
10×add-cube-cbrt flip3-- flip3-+ pow-prod-down flip-- flip-+
8×associate-/l/
7×associate-*r*
6×associate-*r/
5×times-frac
4×cbrt-undiv div-exp associate-/r* add-log-exp
3×*-commutative distribute-lft-out
2×associate-/r/ difference-of-squares
1×frac-2neg clear-num div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
4 → 116
Calls
4 calls:
9.0ms
(* (- x (/ 16.0 116.0)) 3.0)
15.0ms
(* (+ x (/ 16.0 116.0)) (* (- x (/ 16.0 116.0)) 3.0))
17.0ms
(* (* (+ x (/ 16.0 116.0)) (* (- x (/ 16.0 116.0)) 3.0)) y)
23.0ms
(/ (* (* (+ x (/ 16.0 116.0)) (* (- x (/ 16.0 116.0)) 3.0)) y) (+ x (/ 16.0 116.0)))

series250.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (- x (/ 16.0 116.0)) 3.0)
96.0ms
(* (+ x (/ 16.0 116.0)) (* (- x (/ 16.0 116.0)) 3.0))
69.0ms
(* (* (+ x (/ 16.0 116.0)) (* (- x (/ 16.0 116.0)) 3.0)) y)
39.0ms
(/ (* (* (+ x (/ 16.0 116.0)) (* (- x (/ 16.0 116.0)) 3.0)) y) (+ x (/ 16.0 116.0)))

simplify92.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05281253
131491023
250011023

prune215.0ms

Filtered
128 candidates to 85 candidates (66.4%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1280128
Fresh033
Picked011
Done033
Total1287135

Merged error: 0.0b

Counts
135 → 7

regimes141.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample394.0ms

Algorithm
intervals
Results
253.0ms9181×body80valid