Details

Time bar (total: 2.6s)

sample11.0ms

Algorithm
intervals
Results
4.0ms252×body80valid
0.0ms2×body1280valid
0.0ms2×body640valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
082
192
292

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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)

series3.0ms

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

simplify117.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
06859
118054
245153
3105753
4374653
5500153

prune30.0ms

Filtered
15 candidates to 11 candidates (26.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13215
Fresh000
Picked011
Done000
Total13316

Merged error: 0.0b

Counts
16 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x 116.0) 16.0)
0.1b
(* (* x 116.0) (+ (* x 116.0) 16.0))
0.2b
(pow (* x 116.0) 3)
20.4b
(/ (- (pow (* x 116.0) 3) (pow 16.0 3)) (+ (* (* x 116.0) (+ (* x 116.0) 16.0)) (* 16.0 16.0)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
39×times-frac
32×*-un-lft-identity difference-of-squares
25×sqr-pow
24×add-cube-cbrt
14×add-exp-log add-cbrt-cube
13×associate-/l*
12×pow1
9×unpow-prod-down cube-prod
6×add-log-exp
4×difference-cubes pow-prod-down prod-exp cbrt-unprod distribute-lft-out--
3×pow-unpow flip3-+ associate-*r* associate-/r* flip-+
2×pow-pow associate-*r/ pow-exp associate-/r/ associate-/l/ rem-cube-cbrt
1×cbrt-undiv +-commutative distribute-rgt-in cube-mult pow-to-exp flip3-- frac-2neg distribute-lft-in unpow3 div-sub div-exp associate-*l* clear-num sum-log *-commutative flip-- div-inv
Counts
4 → 127
Calls
4 calls:
4.0ms
(+ (* x 116.0) 16.0)
7.0ms
(* (* x 116.0) (+ (* x 116.0) 16.0))
4.0ms
(pow (* x 116.0) 3)
18.0ms
(/ (- (pow (* x 116.0) 3) (pow 16.0 3)) (+ (* (* x 116.0) (+ (* x 116.0) 16.0)) (* 16.0 16.0)))

series29.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ (* x 116.0) 16.0)
6.0ms
(* (* x 116.0) (+ (* x 116.0) 16.0))
4.0ms
(pow (* x 116.0) 3)
16.0ms
(/ (- (pow (* x 116.0) 3) (pow 16.0 3)) (+ (* (* x 116.0) (+ (* x 116.0) 16.0)) (* 16.0 16.0)))

simplify93.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
05451711
126801637
250021634

prune687.0ms

Filtered
139 candidates to 97 candidates (30.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1390139
Fresh011
Picked011
Done011
Total1393142

Merged error: 0.0b

Counts
142 → 3

localize5.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-- flip--
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
3.0ms
(- (* x 116.0) 16.0)
3.0ms
(sqrt (- (* x 116.0) 16.0))
5.0ms
(sqrt (- (* x 116.0) 16.0))
11.0ms
(* (sqrt (- (* x 116.0) 16.0)) (sqrt (- (* x 116.0) 16.0)))

series16.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- (* x 116.0) 16.0)
4.0ms
(sqrt (- (* x 116.0) 16.0))
4.0ms
(sqrt (- (* x 116.0) 16.0))
5.0ms
(* (sqrt (- (* x 116.0) 16.0)) (sqrt (- (* x 116.0) 16.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0301670
11202626
25001608

prune229.0ms

Filtered
111 candidates to 65 candidates (41.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1101111
Fresh000
Picked011
Done022
Total1104114

Merged error: 0b

Counts
114 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (sqrt (- (* x 116.0) 16.0)))
0.1b
(cbrt (sqrt (- (* x 116.0) 16.0)))
0.2b
(* (cbrt (sqrt (- (* x 116.0) 16.0))) (cbrt (sqrt (- (* x 116.0) 16.0))))
0.2b
(pow (cbrt (sqrt (- (* x 116.0) 16.0))) 4)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
58×cbrt-prod
46×add-sqr-sqrt
29×sqrt-prod
24×add-cube-cbrt *-un-lft-identity
16×cbrt-div sqrt-div
12×pow1
11×swap-sqr
9×unpow-prod-down pow1/3 associate-*r* associate-*l* unswap-sqr
8×flip3-- flip--
7×add-exp-log
4×frac-times add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-plus pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 120
Calls
4 calls:
4.0ms
(cbrt (sqrt (- (* x 116.0) 16.0)))
4.0ms
(cbrt (sqrt (- (* x 116.0) 16.0)))
12.0ms
(* (cbrt (sqrt (- (* x 116.0) 16.0))) (cbrt (sqrt (- (* x 116.0) 16.0))))
6.0ms
(pow (cbrt (sqrt (- (* x 116.0) 16.0))) 4)

series46.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(cbrt (sqrt (- (* x 116.0) 16.0)))
8.0ms
(cbrt (sqrt (- (* x 116.0) 16.0)))
10.0ms
(* (cbrt (sqrt (- (* x 116.0) 16.0))) (cbrt (sqrt (- (* x 116.0) 16.0))))
17.0ms
(pow (cbrt (sqrt (- (* x 116.0) 16.0))) 4)

simplify83.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
07601644
129781423
250021388

prune771.0ms

Filtered
132 candidates to 85 candidates (35.6%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1320132
Fresh000
Picked011
Done033
Total1324136

Merged error: 0b

Counts
136 → 4

regimes96.0ms

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

sample232.0ms

Algorithm
intervals
Results
112.0ms7964×body80valid
2.0ms27×body1280valid
2.0ms34×body640valid
0.0ms9×body320valid
0.0ms2×body160valid

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