Details

Time bar (total: 1.3s)

analyze4.0ms

Algorithm
search

sample13.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1174
2194
3214
4224
5224

prune2.0ms

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
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.2b
(* (/ 841.0 108.0) x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*r*
2×associate-*l/ prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down frac-add sum-log *-commutative flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
6.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
6.0ms
(* (/ 841.0 108.0) x)

series5.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
2.0ms
(* (/ 841.0 108.0) x)

simplify71.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0241217
1828198
23241196
35001196

prune78.0ms

Filtered
38 candidates to 50 candidates (-31.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New47350
Fresh000
Picked011
Done000
Total47451

Merged error: 0.0b

Counts
51 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
0.3b
(/ (* 841.0 x) 108.0)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt add-log-exp
3×times-frac associate-/r*
2×pow1 cbrt-undiv div-exp
1×+-commutative frac-2neg flip3-+ frac-add prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 34
Calls
2 calls:
9.0ms
(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
4.0ms
(/ (* 841.0 x) 108.0)

series5.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
2.0ms
(/ (* 841.0 x) 108.0)

simplify78.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0201178
1789159
23556158
35002158

prune47.0ms

Filtered
28 candidates to 40 candidates (-42.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New40040
Fresh022
Picked011
Done011
Total40444

Merged error: 0.0b

Counts
44 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
0.3b
(* 841.0 (/ x 108.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*l*
2×associate-*r/ prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down frac-add sum-log *-commutative flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
6.0ms
(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
6.0ms
(* 841.0 (/ x 108.0))

series5.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
2.0ms
(* 841.0 (/ x 108.0))

simplify102.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0254222
11015203
24286202
35001202

prune59.0ms

Filtered
36 candidates to 50 candidates (-38.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New50050
Fresh011
Picked011
Done022
Total50454

Merged error: 0.0b

Counts
54 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.2b
(* (sqrt (/ 841.0 108.0)) x)
0.3b
(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
32×associate-*l*
28×sqrt-prod
27×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×times-frac
10×pow1 add-exp-log add-cbrt-cube
9×sqrt-div
7×associate-*l/
5×add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×frac-add unswap-sqr
2×frac-times associate-*r/ *-commutative div-inv
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 82
Calls
3 calls:
12.0ms
(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
7.0ms
(* (sqrt (/ 841.0 108.0)) x)
11.0ms
(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

series18.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
4.0ms
(* (sqrt (/ 841.0 108.0)) x)
6.0ms
(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

simplify122.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0322573
11080507
24743505
35002505

prune143.0ms

Filtered
68 candidates to 91 candidates (-33.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New90191
Fresh000
Picked101
Done033
Total91495

Merged error: 0b

Counts
95 → 4

regimes95.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

analyze4.0ms

Algorithm
search

sample328.0ms

Algorithm
intervals
Results
237.0ms7994×body80valid
1.0ms5×body1280valid
0.0ms1×body160valid
0.0ms1×body80invalid

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