Details

Time bar (total: 2.4s)

sample27.0ms

Algorithm
intervals
Results
9.0ms315×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1373
2673
3793
4793

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: 11.7b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

11.2b
(/ (* a1 a2) (* b1 b2))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
5.0ms
(/ (* a1 a2) (* b1 b2))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (* a1 a2) (* b1 b2))

simplify33.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0160124
193689
2500189

prune41.0ms

Filtered
24 candidates to 13 candidates (45.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New18624
Fresh000
Picked011
Done000
Total18725

Merged error: 0.1b

Counts
25 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (/ (* b1 b2) (* a1 a2)))
11.3b
(/ (* b1 b2) (* a1 a2))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
32×add-cbrt-cube
26×div-exp
20×times-frac
16×prod-exp
13×cbrt-undiv
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×cbrt-unprod
6×associate-/r* div-inv
5×rec-exp 1-exp
4×associate-/l*
3×pow1
2×frac-2neg clear-num add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 77
Calls
2 calls:
7.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
5.0ms
(/ (* b1 b2) (* a1 a2))

series19.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
10.0ms
(/ (* b1 b2) (* a1 a2))

simplify47.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0322504
11816408
25003383

prune72.0ms

Filtered
83 candidates to 33 candidates (60.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New79483
Fresh055
Picked011
Done101
Total801090

Merged error: 0.0b

Counts
90 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

0.6b
(/ 1 (/ (/ (* b1 b2) a1) a2))
5.6b
(/ (* b1 b2) a1)
6.1b
(/ (/ (* b1 b2) a1) a2)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
103×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
51×add-exp-log
31×associate-/r* add-cbrt-cube
30×div-exp
23×div-inv
16×cbrt-undiv
11×associate-/l*
5×prod-exp
4×pow1 rec-exp 1-exp
3×frac-2neg clear-num cbrt-unprod add-log-exp
1×pow-flip associate-/r/ associate-/l/ inv-pow
Counts
3 → 201
Calls
3 calls:
10.0ms
(/ 1 (/ (/ (* b1 b2) a1) a2))
4.0ms
(/ (* b1 b2) a1)
6.0ms
(/ (/ (* b1 b2) a1) a2)

series24.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ 1 (/ (/ (* b1 b2) a1) a2))
7.0ms
(/ (* b1 b2) a1)
7.0ms
(/ (/ (* b1 b2) a1) a2)

simplify85.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
07521587
137861365
250011229

prune158.0ms

Filtered
210 candidates to 114 candidates (45.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2064210
Fresh358
Picked101
Done101
Total2119220

Merged error: 0b

Counts
220 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a2)
0.5b
(cbrt a2)
3.0b
(/ (* 1 (cbrt a2)) (/ b2 a1))
8.3b
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ (* 1 (cbrt a2)) (/ b2 a1)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
117×add-exp-log
67×add-cbrt-cube
57×times-frac
50×div-exp
44×prod-exp
34×cbrt-undiv add-sqr-sqrt
30×add-cube-cbrt *-un-lft-identity
28×cbrt-unprod
18×associate-*r*
13×associate-/r*
8×1-exp
7×associate-*l*
6×pow1 cbrt-prod div-inv
4×add-log-exp
2×pow1/3 associate-/r/ unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 145
Calls
4 calls:
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)
6.0ms
(/ (* 1 (cbrt a2)) (/ b2 a1))
15.0ms
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ (* 1 (cbrt a2)) (/ b2 a1)))

series87.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt a2)
21.0ms
(cbrt a2)
31.0ms
(/ (* 1 (cbrt a2)) (/ b2 a1))
14.0ms
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ (* 1 (cbrt a2)) (/ b2 a1)))

simplify87.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
07611308
139901030
25001896

prune109.0ms

Filtered
157 candidates to 96 candidates (38.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1570157
Fresh088
Picked011
Done000
Total1579166

Merged error: 0b

Counts
166 → 9

regimes793.0ms

Accuracy

57.3% (4.6b remaining)

Error of 4.6b against oracle of 0.0b and baseline of 10.8b

bsearch2.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03836
14236
24236

end0.0ms

sample736.0ms

Algorithm
intervals
Results
285.0ms9965×body80valid

Profiling

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