Details

Time bar (total: 3.2s)

sample20.0ms

Algorithm
intervals
Results
7.0ms292×body80valid

simplify33.0ms

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

localize6.0ms

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)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
pow1 add-exp-log add-cbrt-cube
*-un-lft-identity associate-*l*
associate-*r* associate-*l/
add-cube-cbrt
pow-prod-down prod-exp cbrt-unprod
flip3-- *-commutative flip-- add-log-exp difference-of-squares
times-frac distribute-lft-out-- unswap-sqr
Counts
2 → 43
Calls
2 calls:
8.0ms
(* (- x (/ 16.0 116.0)) 3.0)
10.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series81.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* (- x (/ 16.0 116.0)) 3.0)
41.0ms
(* (* (- 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

prune128.0ms

Filtered
49 candidates to 32 candidates (65.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New45449
Fresh000
Picked011
Done000
Total45550

Merged error: 0b

Counts
50 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log associate-*l* add-cbrt-cube
*-un-lft-identity
pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt associate-*l/ difference-of-squares
flip3-- times-frac associate-*r* *-commutative flip-- distribute-lft-out-- add-log-exp
Counts
1 → 23
Calls
1 calls:
9.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify70.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0161155
1566125
22546125
35002125

prune57.0ms

Filtered
26 candidates to 15 candidates (57.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New26026
Fresh033
Picked011
Done011
Total26531

Merged error: 0b

Counts
31 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)) (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)))
0.6b
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
0.6b
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
0.6b
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
38×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
flip3-- pow1/3 flip--
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
associate-*r/ pow-prod-down pow-sqr pow-prod-up
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) y)) (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)))
8.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
8.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
8.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))

series578.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(* (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)) (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)))
133.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
131.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
127.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))

simplify66.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04821219
116261140
250011029

prune352.0ms

Filtered
84 candidates to 67 candidates (79.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh022
Picked011
Done022
Total84589

Merged error: 0b

Counts
89 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ 16.0 116.0))
0.1b
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0)
2.3b
(* (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) y)
16.7b
(/ (* (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) y) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
37×associate-*l*
27×*-un-lft-identity
25×add-exp-log add-cbrt-cube
24×difference-of-squares
21×times-frac
19×associate-*r*
18×unpow-prod-down cube-prod
17×add-cube-cbrt
13×pow1
10×associate-*l/ sqr-pow
prod-exp cbrt-unprod
pow-prod-down distribute-lft-out--
cbrt-undiv div-exp add-log-exp
flip3-- associate-/r* *-commutative flip-- unswap-sqr
associate-/r/ div-inv associate-/l/
difference-cubes frac-2neg flip3-+ associate-*r/ clear-num flip-+ associate-/l*
Counts
4 → 129
Calls
4 calls:
7.0ms
(* x (/ 16.0 116.0))
30.0ms
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0)
26.0ms
(* (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) y)
39.0ms
(/ (* (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) y) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))))

series249.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* x (/ 16.0 116.0))
93.0ms
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0)
51.0ms
(* (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) y)
90.0ms
(/ (* (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) y) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))))

simplify99.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
06231262
132641054
250011040

prune443.0ms

Filtered
141 candidates to 91 candidates (64.5%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1410141
Fresh011
Picked011
Done033
Total1415146

Merged error: 0b

Counts
146 → 5

regimes225.0ms

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

sample464.0ms

Algorithm
intervals
Results
241.0ms9103×body80valid

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