Details

Time bar (total: 2.4s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1174
2194
3214
4224
5224

prune3.0ms

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: 0.1b

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)

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)

series63.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
22.0ms
(* (/ 841.0 108.0) x)

simplify72.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0241217
1828198
23241196
35001196

prune139.0ms

Filtered
50 candidates to 38 candidates (24.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New47350
Fresh000
Picked011
Done000
Total47451

Merged error: 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)

series59.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
16.0ms
(/ (* 841.0 x) 108.0)

simplify78.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0201178
1789159
23556158
35002158

prune76.0ms

Filtered
40 candidates to 29 candidates (27.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New40040
Fresh022
Picked011
Done011
Total40444

Merged error: 0b

Counts
44 → 4

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))
0.3b
(* (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)
10.0ms
(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

series237.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
48.0ms
(* (sqrt (/ 841.0 108.0)) x)
87.0ms
(* (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

prune392.0ms

Filtered
91 candidates to 68 candidates (25.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New91091
Fresh011
Picked011
Done022
Total91495

Merged error: 0b

Counts
95 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.0b
(exp (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))
0.1b
(* (/ 841.0 108.0) x)
1.8b
(log (exp (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
13×associate-*l*
10×times-frac
9×add-exp-log add-cbrt-cube add-log-exp
7×pow1
6×exp-prod
4×log-prod log-pow
3×associate-*r*
2×exp-sum associate-*l/ prod-exp sum-log cbrt-unprod rem-exp-log unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp rem-log-exp pow-prod-down frac-add *-commutative flip-+ div-inv
Counts
4 → 73
Calls
4 calls:
7.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
7.0ms
(exp (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))
6.0ms
(* (/ 841.0 108.0) x)
7.0ms
(log (exp (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))))

series132.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
24.0ms
(exp (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))
18.0ms
(* (/ 841.0 108.0) x)
46.0ms
(log (exp (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))))

simplify118.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0302432
11084384
24766382
35002382

prune333.0ms

Filtered
85 candidates to 62 candidates (27.1%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New85085
Fresh000
Picked011
Done033
Total85489

Merged error: 0b

Counts
89 → 4

regimes91.0ms

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

sample319.0ms

Algorithm
intervals
Results
196.0ms8007×body80valid
0.0ms3×body1280valid
0.0ms3×body640valid

Profiling

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