Details

Time bar (total: 2.6s)

sample16.0ms

Algorithm
intervals
Results
7.0ms287×body80valid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 0.2b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x (/ 16.0 116.0)) 3.0)
0.2b
(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite21.0ms

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×flip3-- *-commutative flip-- add-log-exp difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
2 → 43
Calls
2 calls:
9.0ms
(* (- x (/ 16.0 116.0)) 3.0)
11.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series80.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* (- x (/ 16.0 116.0)) 3.0)
40.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify99.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0197259
1849215
24422215
35001215

prune84.0ms

Filtered
49 candidates to 32 candidates (65.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New41849
Fresh000
Picked011
Done000
Total41950

Merged error: 0.0b

Counts
50 → 9

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×flip3-- times-frac associate-*r* *-commutative flip-- distribute-lft-out-- add-log-exp
Counts
1 → 23
Calls
1 calls:
10.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify72.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0161155
1566125
22546125
35002125

prune44.0ms

Filtered
26 candidates to 15 candidates (57.7%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New25126
Fresh077
Picked011
Done011
Total251035

Merged error: 0.0b

Counts
35 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.2b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.2b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.2b
(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
8.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
8.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
10.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
8.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))

series583.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
140.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
135.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
170.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0414896
11522818
25002764

prune244.0ms

Filtered
84 candidates to 67 candidates (79.8%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh077
Picked011
Done022
Total841094

Merged error: 0.0b

Counts
94 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
0.2b
(* (* (* (- 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))

rewrite53.0ms

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 flip3-- *-commutative flip-- add-log-exp
2×difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
3 → 76
Calls
3 calls:
13.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
18.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
20.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series341.0ms

Counts
3 → 9
Calls
3 calls:
117.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
96.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
128.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0333777
11671584
25002540

prune132.0ms

Filtered
85 candidates to 52 candidates (61.2%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New83285
Fresh156
Picked011
Done123
Total851095

Merged error: 0.0b

Counts
95 → 10

regimes160.0ms

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

sample387.0ms

Algorithm
intervals
Results
243.0ms9122×body80valid