Details

Time bar (total: 2.4s)

sample15.0ms

Algorithm
intervals
Results
6.0ms289×body80valid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1314
2734
31514
42414
53264
63974
74574
84774
94804
104804

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: 0.1b

Counts
2 → 1

localize43.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
7×*-un-lft-identity associate-*l*
6×associate-*r* associate-*l/
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
2 → 47
Calls
2 calls:
9.0ms
(* (- x (/ 16.0 116.0)) 3.0)
10.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series79.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* (- x (/ 16.0 116.0)) 3.0)
36.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify94.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0204277
1862233
24488233
35001233

prune82.0ms

Filtered
53 candidates to 36 candidates (67.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New48553
Fresh000
Picked011
Done000
Total48654

Merged error: 0.0b

Counts
54 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×pow1 add-exp-log associate-*l* add-cbrt-cube
4×*-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt associate-*l/ difference-of-squares
1×expm1-log1p-u flip3-- times-frac associate-*r* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp
Counts
1 → 25
Calls
1 calls:
10.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify65.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0165165
1575135
22608135
35001135

prune42.0ms

Filtered
28 candidates to 17 candidates (60.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New27128
Fresh134
Picked011
Done011
Total28634

Merged error: 0.0b

Counts
34 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (- 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)
0.7b
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1 add-exp-log
19×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
13×add-sqr-sqrt
12×associate-*l/
10×associate-*r*
9×*-un-lft-identity
8×associate-*l*
7×add-cube-cbrt
3×cbrt-prod expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
2×difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
3 → 82
Calls
3 calls:
12.0ms
(* (- 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))

series319.0ms

Counts
3 → 9
Calls
3 calls:
110.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
90.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
118.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0343829
11690636
25001588

prune142.0ms

Filtered
91 candidates to 58 candidates (63.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New91091
Fresh033
Picked011
Done022
Total91697

Merged error: 0.0b

Counts
97 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))
0.8b
(cbrt (- x (/ 16.0 116.0)))
0.8b
(cbrt (- x (/ 16.0 116.0)))
0.8b
(cbrt (- x (/ 16.0 116.0)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
50×cbrt-prod
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
14×difference-of-squares
11×pow1 swap-sqr
9×flip3-- pow1/3 associate-*r* associate-*l* flip-- distribute-lft-out--
7×times-frac
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 115
Calls
4 calls:
16.0ms
(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))
6.0ms
(cbrt (- x (/ 16.0 116.0)))
6.0ms
(cbrt (- x (/ 16.0 116.0)))
6.0ms
(cbrt (- x (/ 16.0 116.0)))

series418.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))
100.0ms
(cbrt (- x (/ 16.0 116.0)))
95.0ms
(cbrt (- x (/ 16.0 116.0)))
95.0ms
(cbrt (- x (/ 16.0 116.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04171170
113951115
250011036

prune293.0ms

Filtered
127 candidates to 95 candidates (74.8%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1270127
Fresh022
Picked011
Done033
Total1276133

Merged error: 0.0b

Counts
133 → 6

regimes104.0ms

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

sample341.0ms

Algorithm
intervals
Results
202.0ms9136×body80valid