Details

Time bar (total: 2.0s)

sample13.0ms

Algorithm
intervals
Results
7.0ms257×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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.1b
(* (/ 841.0 108.0) x)

rewrite18.0ms

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:
11.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
6.0ms
(* (/ 841.0 108.0) x)

series6.0ms

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

simplify73.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0241217
1828198
23241196
35001196

prune84.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New46450
Fresh000
Picked011
Done000
Total46551

Merged error: 0.0b

Counts
51 → 5

localize7.0ms

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))

rewrite34.0ms

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))
9.0ms
(* (sqrt (/ 841.0 108.0)) x)
11.0ms
(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

series19.0ms

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)
7.0ms
(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

simplify119.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0322573
11080507
24743505
35002505

prune173.0ms

Filtered
67 candidates to 91 candidates (-35.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New90191
Fresh123
Picked011
Done011
Total91596

Merged error: 0.0b

Counts
96 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* (sqrt (/ 841.0 108.0)) (* (sqrt 841.0) x)) (sqrt 108.0)) (/ 4.0 29.0))
0.3b
(* (sqrt (/ 841.0 108.0)) (* (sqrt 841.0) x))
0.5b
(/ (* (sqrt (/ 841.0 108.0)) (* (sqrt 841.0) x)) (sqrt 108.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
19×sqrt-prod
17×add-exp-log *-un-lft-identity add-cbrt-cube
16×associate-*l*
15×add-sqr-sqrt add-cube-cbrt times-frac
8×pow1
6×prod-exp associate-/r* cbrt-unprod
5×add-log-exp
3×cbrt-undiv div-exp pow-prod-down
2×sqrt-div associate-*l/ div-inv
1×+-commutative frac-2neg flip3-+ associate-*r* frac-add clear-num sum-log *-commutative flip-+ associate-/l/ distribute-lft-out associate-/l*
Counts
3 → 75
Calls
3 calls:
16.0ms
(+ (/ (* (sqrt (/ 841.0 108.0)) (* (sqrt 841.0) x)) (sqrt 108.0)) (/ 4.0 29.0))
8.0ms
(* (sqrt (/ 841.0 108.0)) (* (sqrt 841.0) x))
10.0ms
(/ (* (sqrt (/ 841.0 108.0)) (* (sqrt 841.0) x)) (sqrt 108.0))

series34.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+ (/ (* (sqrt (/ 841.0 108.0)) (* (sqrt 841.0) x)) (sqrt 108.0)) (/ 4.0 29.0))
7.0ms
(* (sqrt (/ 841.0 108.0)) (* (sqrt 841.0) x))
14.0ms
(/ (* (sqrt (/ 841.0 108.0)) (* (sqrt 841.0) x)) (sqrt 108.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0366698
11443650
25001636

prune158.0ms

Filtered
56 candidates to 84 candidates (-50.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh022
Picked011
Done022
Total84589

Merged error: 0.0b

Counts
89 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 841.0 108.0) x)
0.2b
(pow (* (/ 841.0 108.0) x) 3)
0.2b
(* (* (/ 841.0 108.0) x) (- (* (/ 841.0 108.0) x) (/ 4.0 29.0)))
19.1b
(/ (+ (pow (* (/ 841.0 108.0) x) 3) (pow (/ 4.0 29.0) 3)) (+ (* (* (/ 841.0 108.0) x) (- (* (/ 841.0 108.0) x) (/ 4.0 29.0))) (* (/ 4.0 29.0) (/ 4.0 29.0))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
38×associate-*l/
32×*-un-lft-identity
29×add-sqr-sqrt
26×add-exp-log add-cbrt-cube
25×times-frac
24×add-cube-cbrt
23×associate-/r/
22×frac-add
19×frac-times associate-*r/
14×pow1 associate-*l*
9×prod-exp cbrt-unprod
8×flip3-- frac-sub flip--
6×associate-*r*
5×pow-prod-down associate-/l*
4×cbrt-undiv div-exp sum-cubes distribute-lft-out add-log-exp
3×cube-div pow-unpow pow-exp associate-/r* associate-/l/ rem-cube-cbrt
2×distribute-rgt-in sub-neg pow-pow distribute-lft-in flip3-+ *-commutative flip-+ div-inv unswap-sqr
1×cube-mult pow-to-exp unpow-prod-down frac-2neg unpow3 cube-prod clear-num sqr-pow
Counts
4 → 149
Calls
4 calls:
6.0ms
(* (/ 841.0 108.0) x)
5.0ms
(pow (* (/ 841.0 108.0) x) 3)
12.0ms
(* (* (/ 841.0 108.0) x) (- (* (/ 841.0 108.0) x) (/ 4.0 29.0)))
33.0ms
(/ (+ (pow (* (/ 841.0 108.0) x) 3) (pow (/ 4.0 29.0) 3)) (+ (* (* (/ 841.0 108.0) x) (- (* (/ 841.0 108.0) x) (/ 4.0 29.0))) (* (/ 4.0 29.0) (/ 4.0 29.0))))

series24.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* (/ 841.0 108.0) x)
4.0ms
(pow (* (/ 841.0 108.0) x) 3)
7.0ms
(* (* (/ 841.0 108.0) x) (- (* (/ 841.0 108.0) x) (/ 4.0 29.0)))
12.0ms
(/ (+ (pow (* (/ 841.0 108.0) x) 3) (pow (/ 4.0 29.0) 3)) (+ (* (* (/ 841.0 108.0) x) (- (* (/ 841.0 108.0) x) (/ 4.0 29.0))) (* (/ 4.0 29.0) (/ 4.0 29.0))))

simplify121.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
08132233
137982100
250022095

prune522.0ms

Filtered
110 candidates to 161 candidates (-46.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1601161
Fresh011
Picked101
Done033
Total1615166

Merged error: 0b

Counts
166 → 5

regimes115.0ms

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

sample337.0ms

Algorithm
intervals
Results
214.0ms8008×body80valid
0.0ms1×body1280valid

Profiling

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