Details

Time bar (total: 3.2s)

sample18.0ms

Algorithm
intervals
Results
7.0ms308×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0163
1373
2673
3793
4793

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: 12.4b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

12.0b
(/ (* 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))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(/ (* a1 a2) (* b1 b2))

simplify30.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0160124
193689
2500189

prune45.0ms

Filtered
24 candidates to 13 candidates (54.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New19524
Fresh000
Picked101
Done000
Total20525

Merged error: 0.1b

Counts
25 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

5.3b
(/ (* b1 b2) a2)
6.3b
(/ a1 (/ (* b1 b2) a2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/r/
Counts
2 → 69
Calls
2 calls:
4.0ms
(/ (* b1 b2) a2)
6.0ms
(/ a1 (/ (* b1 b2) a2))

series52.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (* b1 b2) a2)
33.0ms
(/ a1 (/ (* b1 b2) a2))

simplify38.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0292397
11409353
25002350

prune155.0ms

Filtered
75 candidates to 57 candidates (76.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New69675
Fresh224
Picked011
Done000
Total71980

Merged error: 0.0b

Counts
80 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a1)
0.6b
(cbrt a1)
4.6b
(/ (* (cbrt a1) (cbrt a1)) (* b1 b2))
6.5b
(* (/ (* (cbrt a1) (cbrt a1)) (* b1 b2)) (* a2 (cbrt a1)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
40×add-cbrt-cube
27×prod-exp cbrt-unprod
12×cbrt-undiv div-exp
9×pow1
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod
5×associate-*l*
4×add-log-exp
3×pow-prod-down
2×times-frac pow1/3 div-inv
1×frac-2neg associate-*r* associate-*l/ clear-num associate-/r* *-commutative associate-/l*
Counts
4 → 80
Calls
4 calls:
1.0ms
(cbrt a1)
1.0ms
(cbrt a1)
7.0ms
(/ (* (cbrt a1) (cbrt a1)) (* b1 b2))
11.0ms
(* (/ (* (cbrt a1) (cbrt a1)) (* b1 b2)) (* a2 (cbrt a1)))

series689.0ms

Counts
4 → 12
Calls
4 calls:
354.0ms
(cbrt a1)
176.0ms
(cbrt a1)
92.0ms
(/ (* (cbrt a1) (cbrt a1)) (* b1 b2))
68.0ms
(* (/ (* (cbrt a1) (cbrt a1)) (* b1 b2)) (* a2 (cbrt a1)))

simplify59.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0365687
11986500
25001449

prune182.0ms

Filtered
92 candidates to 55 candidates (59.8%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New91192
Fresh077
Picked011
Done011
Total9110101

Merged error: 0.0b

Counts
101 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a1)
0.6b
(cbrt a1)
2.8b
(* (/ (cbrt a1) b1) (/ (cbrt a1) b2))
6.5b
(* (* (/ (cbrt a1) b1) (/ (cbrt a1) b2)) (* a2 (cbrt a1)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
57×add-exp-log
48×times-frac
40×add-cbrt-cube
32×add-cube-cbrt *-un-lft-identity
30×cbrt-prod
27×prod-exp cbrt-unprod
23×associate-*r* associate-*l*
18×pow1
12×cbrt-undiv div-exp
9×pow-prod-down unswap-sqr
5×associate-*l/
4×add-log-exp
2×frac-times pow1/3 associate-*r/ *-commutative div-inv
Counts
4 → 132
Calls
4 calls:
1.0ms
(cbrt a1)
1.0ms
(cbrt a1)
16.0ms
(* (/ (cbrt a1) b1) (/ (cbrt a1) b2))
12.0ms
(* (* (/ (cbrt a1) b1) (/ (cbrt a1) b2)) (* a2 (cbrt a1)))

series524.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt a1)
176.0ms
(cbrt a1)
95.0ms
(* (/ (cbrt a1) b1) (/ (cbrt a1) b2))
70.0ms
(* (* (/ (cbrt a1) b1) (/ (cbrt a1) b2)) (* a2 (cbrt a1)))

simplify84.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
06211115
13068930
25002860

prune322.0ms

Filtered
144 candidates to 102 candidates (70.8%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1431144
Fresh077
Picked011
Done022
Total14311154

Merged error: 0b

Counts
154 → 11

regimes367.0ms

Accuracy

38.5% (5.6b remaining)

Error of 5.6b against oracle of 0.0b and baseline of 9.1b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04325
14325

end0.0ms

sample479.0ms

Algorithm
intervals
Results
238.0ms10040×body80valid