Details

Time bar (total: 5.5s)

sample20.0ms

Algorithm
intervals
Results
9.0ms323×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: 11.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

10.6b
(/ (* 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))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(/ (* a1 a2) (* b1 b2))

simplify29.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0160124
193689
2500189

prune41.0ms

Filtered
24 candidates to 13 candidates (54.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New18624
Fresh000
Picked011
Done000
Total18725

Merged error: 0.0b

Counts
25 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

3.8b
(/ (* b1 b2) a2)
7.3b
(/ 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))

series49.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (* b1 b2) a2)
31.0ms
(/ a1 (/ (* b1 b2) a2))

simplify37.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0292397
11409353
25002350

prune129.0ms

Filtered
75 candidates to 55 candidates (73.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New69675
Fresh415
Picked011
Done011
Total73982

Merged error: 0.0b

Counts
82 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
1.8b
(/ (cbrt a1) (/ b2 (cbrt a2)))
3.1b
(/ (* (cbrt a1) (cbrt a1)) (/ b1 (* (cbrt a2) (cbrt a2))))
4.7b
(* (/ (* (cbrt a1) (cbrt a1)) (/ b1 (* (cbrt a2) (cbrt a2)))) (/ (cbrt a1) (/ b2 (cbrt a2))))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
572×times-frac
344×add-sqr-sqrt
272×add-cube-cbrt *-un-lft-identity
270×cbrt-prod
138×add-exp-log
137×associate-*r*
74×add-cbrt-cube
64×cbrt-undiv div-exp
41×prod-exp cbrt-unprod
29×associate-/r*
21×unswap-sqr
20×div-inv
12×associate-*l*
7×associate-/l*
6×pow1
4×associate-/r/ add-log-exp
2×frac-2neg clear-num
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 448
Calls
4 calls:
1.0ms
(cbrt a2)
9.0ms
(/ (cbrt a1) (/ b2 (cbrt a2)))
10.0ms
(/ (* (cbrt a1) (cbrt a1)) (/ b1 (* (cbrt a2) (cbrt a2))))
59.0ms
(* (/ (* (cbrt a1) (cbrt a1)) (/ b1 (* (cbrt a2) (cbrt a2)))) (/ (cbrt a1) (/ b2 (cbrt a2))))

series461.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt a2)
98.0ms
(/ (cbrt a1) (/ b2 (cbrt a2)))
133.0ms
(/ (* (cbrt a1) (cbrt a1)) (/ b1 (* (cbrt a2) (cbrt a2))))
59.0ms
(* (/ (* (cbrt a1) (cbrt a1)) (/ b1 (* (cbrt a2) (cbrt a2)))) (/ (cbrt a1) (/ b2 (cbrt a2))))

simplify96.0ms

Algorithm
egg-herbie
Counts
460 → 460
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
020446460
150025810

prune1.4s

Filtered
460 candidates to 395 candidates (85.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New4591460
Fresh066
Picked101
Done022
Total4609469

Merged error: 0.0b

Counts
469 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
1.4b
(* (/ (cbrt a1) b1) (* (cbrt a1) (* (cbrt a2) (cbrt a2))))
1.8b
(/ (cbrt a1) (/ b2 (cbrt a2)))
4.7b
(* (* (/ (cbrt a1) b1) (* (cbrt a1) (* (cbrt a2) (cbrt a2)))) (/ (cbrt a1) (/ b2 (cbrt a2))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
516×times-frac
278×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
264×cbrt-prod
138×add-exp-log associate-*r*
70×add-cbrt-cube
69×prod-exp cbrt-unprod
36×cbrt-undiv div-exp
27×pow1
23×associate-*l*
22×associate-/r*
16×pow-prod-down div-inv
6×associate-/l*
4×associate-*l/ add-log-exp
2×associate-/r/ *-commutative
1×frac-times frac-2neg pow1/3 associate-*r/ clear-num
Counts
4 → 428
Calls
4 calls:
1.0ms
(cbrt a2)
17.0ms
(* (/ (cbrt a1) b1) (* (cbrt a1) (* (cbrt a2) (cbrt a2))))
9.0ms
(/ (cbrt a1) (/ b2 (cbrt a2)))
37.0ms
(* (* (/ (cbrt a1) b1) (* (cbrt a1) (* (cbrt a2) (cbrt a2)))) (/ (cbrt a1) (/ b2 (cbrt a2))))

series476.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt a2)
130.0ms
(* (/ (cbrt a1) b1) (* (cbrt a1) (* (cbrt a2) (cbrt a2))))
99.0ms
(/ (cbrt a1) (/ b2 (cbrt a2)))
68.0ms
(* (* (/ (cbrt a1) b1) (* (cbrt a1) (* (cbrt a2) (cbrt a2)))) (/ (cbrt a1) (/ b2 (cbrt a2))))

simplify85.0ms

Algorithm
egg-herbie
Counts
440 → 440
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
019175829
150015142

prune1.4s

Filtered
440 candidates to 383 candidates (87.0%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New4400440
Fresh066
Picked011
Done022
Total4409449

Merged error: 0.0b

Counts
449 → 9

regimes356.0ms

Accuracy

64.5% (2.5b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 7.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03937
14237
24537
34537

end0.0ms

sample570.0ms

Algorithm
intervals
Results
293.0ms10086×body80valid