Details

Time bar (total: 3.6s)

sample17.0ms

Algorithm
intervals
Results
7.0ms309×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1373
2673
3793
4793

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize6.0ms

Local error

Found 1 expressions with local error:

10.1b
(/ (* 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))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(/ (* a1 a2) (* b1 b2))

simplify28.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0160124
193689
2500189

prune42.0ms

Filtered
24 candidates to 13 candidates (54.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

4.6b
(/ (/ (* a1 a2) b1) b2)
4.9b
(/ (* a1 a2) b1)

rewrite13.0ms

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
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/l/
Counts
2 → 69
Calls
2 calls:
6.0ms
(/ (/ (* a1 a2) b1) b2)
5.0ms
(/ (* a1 a2) b1)

series47.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (/ (* a1 a2) b1) b2)
19.0ms
(/ (* a1 a2) b1)

simplify40.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0301392
11329347
25001347

prune147.0ms

Filtered
75 candidates to 55 candidates (73.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b1)
1.5b
(/ (/ a2 (cbrt b1)) (cbrt b2))
4.1b
(/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2)))
4.5b
(* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (/ (/ a2 (cbrt b1)) (cbrt b2)))

rewrite107.0ms

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
136×associate-*r*
74×add-cbrt-cube
64×cbrt-undiv div-exp
41×prod-exp cbrt-unprod
29×associate-/l*
21×unswap-sqr
20×div-inv
11×associate-*l*
7×associate-/r*
6×pow1
4×add-log-exp
2×frac-2neg clear-num associate-/l/
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 446
Calls
4 calls:
1.0ms
(cbrt b1)
9.0ms
(/ (/ a2 (cbrt b1)) (cbrt b2))
13.0ms
(/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2)))
52.0ms
(* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (/ (/ a2 (cbrt b1)) (cbrt b2)))

series484.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(cbrt b1)
102.0ms
(/ (/ a2 (cbrt b1)) (cbrt b2))
139.0ms
(/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2)))
77.0ms
(* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (/ (/ a2 (cbrt b1)) (cbrt b2)))

simplify87.0ms

Algorithm
egg-herbie
Counts
458 → 458
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
020956504
150016075

prune1.5s

Filtered
458 candidates to 386 candidates (84.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*l* associate-/r*
2×associate-*r/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
2 → 56
Calls
2 calls:
6.0ms
(/ (* a1 (/ a2 b1)) b2)
6.0ms
(* a1 (/ a2 b1))

series47.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (* a1 (/ a2 b1)) b2)
19.0ms
(* a1 (/ a2 b1))

simplify40.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0270264
11389221
25001221

prune98.0ms

Filtered
62 candidates to 40 candidates (64.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes335.0ms

Accuracy

45.1% (4.8b remaining)

Error of 4.8b against oracle of 0.0b and baseline of 8.8b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04540
14540

end0.0ms

sample465.0ms

Algorithm
intervals
Results
229.0ms10034×body80valid