Details

Time bar (total: 2.2s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1174
2194
3214
4224
5224

prune2.0ms

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

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)

rewrite14.0ms

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:
7.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
6.0ms
(* (/ 841.0 108.0) x)

series53.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
15.0ms
(* (/ 841.0 108.0) x)

simplify72.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0241217
1828198
23241196
35001196

prune78.0ms

Filtered
50 candidates to 38 candidates (76.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New47350
Fresh000
Picked011
Done000
Total47451

Merged error: 0b

Counts
51 → 4

localize5.0ms

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))

rewrite17.0ms

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:
7.0ms
(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
6.0ms
(* 841.0 (/ x 108.0))

series48.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
14.0ms
(* 841.0 (/ x 108.0))

simplify100.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0254222
11015203
24300202
35002202

prune74.0ms

Filtered
50 candidates to 37 candidates (74.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New50050
Fresh022
Picked011
Done011
Total50454

Merged error: 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))

rewrite37.0ms

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:
13.0ms
(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
7.0ms
(* (sqrt (/ 841.0 108.0)) x)
14.0ms
(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

series198.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
41.0ms
(* (sqrt (/ 841.0 108.0)) x)
74.0ms
(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

simplify122.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0322573
11080507
24743505
35002505

prune157.0ms

Filtered
91 candidates to 68 candidates (74.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New90191
Fresh101
Picked011
Done022
Total91495

Merged error: 0b

Counts
95 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-sqr-sqrt add-cbrt-cube
23×associate-*l*
20×pow1
18×add-cube-cbrt *-un-lft-identity sqrt-prod
13×times-frac
11×prod-exp cbrt-unprod
10×pow-prod-down
7×associate-*r*
4×associate-*l/ add-log-exp
3×sqrt-div *-commutative associate-/l* unswap-sqr
2×cbrt-undiv associate-*r/ div-exp div-inv associate-/l/
1×frac-2neg flip3-+ clear-num associate-/r* flip-+
Counts
4 → 101
Calls
4 calls:
7.0ms
(* (sqrt (/ 841.0 108.0)) x)
8.0ms
(* (sqrt 841.0) (* (sqrt (/ 841.0 108.0)) x))
10.0ms
(* (* (sqrt 841.0) (* (sqrt (/ 841.0 108.0)) x)) 29.0)
15.0ms
(/ (+ (* (* (sqrt 841.0) (* (sqrt (/ 841.0 108.0)) x)) 29.0) (* (sqrt 108.0) 4.0)) (* (sqrt 108.0) 29.0))

series566.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (sqrt (/ 841.0 108.0)) x)
94.0ms
(* (sqrt 841.0) (* (sqrt (/ 841.0 108.0)) x))
119.0ms
(* (* (sqrt 841.0) (* (sqrt (/ 841.0 108.0)) x)) 29.0)
311.0ms
(/ (+ (* (* (sqrt 841.0) (* (sqrt (/ 841.0 108.0)) x)) 29.0) (* (sqrt 108.0) 4.0)) (* (sqrt 108.0) 29.0))

simplify67.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0424939
11768818
25001816

prune225.0ms

Filtered
113 candidates to 74 candidates (65.5%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1130113
Fresh000
Picked011
Done033
Total1134117

Merged error: 0b

Counts
117 → 4

regimes46.0ms

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

sample247.0ms

Algorithm
intervals
Results
161.0ms8009×body80valid
0.0ms3×body1280valid
0.0ms2×body640valid