Details

Time bar (total: 2.3s)

sample9.0ms

Algorithm
intervals
Results
4.0ms255×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
082
192
292

prune1.0ms

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: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x 116.0) 16.0)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
3.0ms
(- (* x 116.0) 16.0)

series40.0ms

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

simplify115.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
06859
118054
245153
3105753
4374653
5500153

prune17.0ms

Filtered
15 candidates to 11 candidates (73.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New14115
Fresh000
Picked011
Done000
Total14216

Merged error: 0.0b

Counts
16 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (* x 116.0) (* x 116.0)) (* 16.0 16.0))
0.2b
(* (* x 116.0) (* x 116.0))
13.8b
(/ (- (* (* x 116.0) (* x 116.0)) (* 16.0 16.0)) (+ (* x 116.0) 16.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
42×pow1
17×add-exp-log pow-prod-down add-cbrt-cube
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
8×prod-exp cbrt-unprod
5×add-log-exp difference-of-squares
4×pow-sqr pow-prod-up associate-/l*
3×associate-/r*
2×flip3-- pow-plus associate-/r/ flip-- associate-/l/
1×cbrt-undiv pow2 sub-neg frac-2neg flip3-+ diff-log div-sub swap-sqr div-exp associate-*r* associate-*l* clear-num *-commutative flip-+ div-inv
Counts
3 → 83
Calls
3 calls:
6.0ms
(- (* (* x 116.0) (* x 116.0)) (* 16.0 16.0))
6.0ms
(* (* x 116.0) (* x 116.0))
11.0ms
(/ (- (* (* x 116.0) (* x 116.0)) (* 16.0 16.0)) (+ (* x 116.0) 16.0))

series202.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(- (* (* x 116.0) (* x 116.0)) (* 16.0 16.0))
24.0ms
(* (* x 116.0) (* x 116.0))
117.0ms
(/ (- (* (* x 116.0) (* x 116.0)) (* 16.0 16.0)) (+ (* x 116.0) 16.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0330674
11608597
25003587

prune124.0ms

Filtered
92 candidates to 56 candidates (60.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New90292
Fresh000
Picked101
Done011
Total91394

Merged error: 0b

Counts
94 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* (* x 116.0) (* x 116.0)) (+ (* x 116.0) 16.0)) (/ (* 16.0 16.0) (+ (* x 116.0) 16.0)))
0.1b
(/ (* 16.0 16.0) (+ (* x 116.0) 16.0))
0.2b
(* (* x 116.0) (* x 116.0))
13.8b
(/ (* (* x 116.0) (* x 116.0)) (+ (* x 116.0) 16.0))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
39×add-exp-log add-cbrt-cube
17×pow-prod-down prod-exp cbrt-unprod
16×add-sqr-sqrt
10×*-un-lft-identity times-frac
8×add-cube-cbrt associate-/r/
7×cbrt-undiv div-exp
6×associate-/r* add-log-exp
4×flip3-+ pow-sqr pow-prod-up flip-+ div-inv difference-of-squares
3×distribute-rgt-out--
2×frac-2neg pow-plus clear-num associate-/l*
1×pow2 sub-neg flip3-- diff-log swap-sqr associate-*r* associate-*l* *-commutative frac-sub flip-- distribute-lft-out-- sub-div
Counts
4 → 108
Calls
4 calls:
16.0ms
(- (/ (* (* x 116.0) (* x 116.0)) (+ (* x 116.0) 16.0)) (/ (* 16.0 16.0) (+ (* x 116.0) 16.0)))
7.0ms
(/ (* 16.0 16.0) (+ (* x 116.0) 16.0))
6.0ms
(* (* x 116.0) (* x 116.0))
11.0ms
(/ (* (* x 116.0) (* x 116.0)) (+ (* x 116.0) 16.0))

series470.0ms

Counts
4 → 12
Calls
4 calls:
361.0ms
(- (/ (* (* x 116.0) (* x 116.0)) (+ (* x 116.0) 16.0)) (/ (* 16.0 16.0) (+ (* x 116.0) 16.0)))
38.0ms
(/ (* 16.0 16.0) (+ (* x 116.0) 16.0))
24.0ms
(* (* x 116.0) (* x 116.0))
47.0ms
(/ (* (* x 116.0) (* x 116.0)) (+ (* x 116.0) 16.0))

simplify63.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0503922
12628812
25002812

prune138.0ms

Filtered
120 candidates to 73 candidates (60.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh011
Picked011
Done011
Total1203123

Merged error: 0b

Counts
123 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (* x 116.0) 16.0))
0.1b
(/ (+ (* x 116.0) 16.0) (sqrt (+ (* x 116.0) 16.0)))
0.1b
(/ (- (* x 116.0) 16.0) (sqrt (+ (* x 116.0) 16.0)))
0.1b
(* (/ (+ (* x 116.0) 16.0) (sqrt (+ (* x 116.0) 16.0))) (/ (- (* x 116.0) 16.0) (sqrt (+ (* x 116.0) 16.0))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
84×times-frac
61×add-cube-cbrt *-un-lft-identity
51×sqrt-prod
24×associate-*r* associate-*l*
20×add-exp-log add-cbrt-cube
12×associate-/r*
10×pow1 sqrt-div
9×unswap-sqr
8×associate-/r/
6×cbrt-undiv flip3-+ div-exp flip-+ associate-/l*
4×prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp
2×frac-2neg sqrt-pow1 pow1/2 clear-num pow-div
1×frac-times rem-sqrt-square flip3-- div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip--
Counts
4 → 181
Calls
4 calls:
7.0ms
(sqrt (+ (* x 116.0) 16.0))
9.0ms
(/ (+ (* x 116.0) 16.0) (sqrt (+ (* x 116.0) 16.0)))
9.0ms
(/ (- (* x 116.0) 16.0) (sqrt (+ (* x 116.0) 16.0)))
26.0ms
(* (/ (+ (* x 116.0) 16.0) (sqrt (+ (* x 116.0) 16.0))) (/ (- (* x 116.0) 16.0) (sqrt (+ (* x 116.0) 16.0))))

series248.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(sqrt (+ (* x 116.0) 16.0))
36.0ms
(/ (+ (* x 116.0) 16.0) (sqrt (+ (* x 116.0) 16.0)))
130.0ms
(/ (- (* x 116.0) 16.0) (sqrt (+ (* x 116.0) 16.0)))
41.0ms
(* (/ (+ (* x 116.0) 16.0) (sqrt (+ (* x 116.0) 16.0))) (/ (- (* x 116.0) 16.0) (sqrt (+ (* x 116.0) 16.0))))

simplify92.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06862486
133781913
250011880

prune302.0ms

Filtered
193 candidates to 131 candidates (67.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1930193
Fresh000
Picked011
Done022
Total1933196

Merged error: 0b

Counts
196 → 3

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062
162

end0.0ms

sample212.0ms

Algorithm
intervals
Results
116.0ms7986×body80valid
6.0ms27×body1280valid
1.0ms24×body640valid
0.0ms4×body320valid
0.0ms4×body160valid

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