Details

Time bar (total: 3.7s)

sample26.0ms

Algorithm
intervals
Results
14.0ms327×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0163
1373
2673
3793
4793

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize5.0ms

Local error

Found 1 expressions with local error:

13.1b
(/ (* a1 a2) (* b1 b2))

rewrite5.0ms

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 expm1-log1p-u add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
4.0ms
(/ (* a1 a2) (* b1 b2))

series32.0ms

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

simplify29.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0162132
193897
2500197

prune48.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

10.0b
(* (/ a1 b1) (/ a2 b2))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×times-frac
15×add-cube-cbrt *-un-lft-identity
13×add-exp-log associate-*r* associate-*l* add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1
2×div-inv
1×expm1-log1p-u frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative log1p-expm1-u add-log-exp
Counts
1 → 52
Calls
1 calls:
12.0ms
(* (/ a1 b1) (/ a2 b2))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(* (/ a1 b1) (/ a2 b2))

simplify37.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0321286
11417251
25001250

prune124.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.6b
(cbrt b2)
2.9b
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
5.8b
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
86×times-frac
68×add-sqr-sqrt
57×add-exp-log
41×add-cube-cbrt *-un-lft-identity
40×add-cbrt-cube
23×cbrt-undiv div-exp
22×associate-*r*
18×cbrt-prod
17×associate-*l*
16×prod-exp cbrt-unprod
13×associate-/l*
9×unswap-sqr
6×pow1 div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative associate-/l/
Counts
4 → 156
Calls
4 calls:
0.0ms
(cbrt b2)
0.0ms
(cbrt b2)
7.0ms
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
31.0ms
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

series575.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(cbrt b2)
182.0ms
(cbrt b2)
109.0ms
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
71.0ms
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

simplify87.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
07431409
138131151
250011087

prune565.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.6b
(cbrt b2)
3.9b
(/ (* (/ a1 b1) (/ a2 (cbrt b2))) (* (cbrt b2) (cbrt b2)))
5.4b
(* (/ a1 b1) (/ a2 (cbrt b2)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
45×add-sqr-sqrt
41×add-cbrt-cube
35×times-frac
26×add-cube-cbrt *-un-lft-identity
22×cbrt-undiv div-exp associate-*r*
17×cbrt-prod prod-exp cbrt-unprod
13×associate-*l*
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×div-inv associate-/l/
2×frac-times pow1/3 associate-*r/ associate-*l/
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative associate-/l*
Counts
4 → 127
Calls
4 calls:
0.0ms
(cbrt b2)
0.0ms
(cbrt b2)
10.0ms
(/ (* (/ a1 b1) (/ a2 (cbrt b2))) (* (cbrt b2) (cbrt b2)))
16.0ms
(* (/ a1 b1) (/ a2 (cbrt b2)))

series530.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt b2)
171.0ms
(cbrt b2)
61.0ms
(/ (* (/ a1 b1) (/ a2 (cbrt b2))) (* (cbrt b2) (cbrt b2)))
113.0ms
(* (/ a1 b1) (/ a2 (cbrt b2)))

simplify71.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0629973
13178799
25001745

prune305.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes390.0ms

Accuracy

49.8% (5.1b remaining)

Error of 5.2b against oracle of 0.0b and baseline of 10.3b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03029
13029

end0.0ms

sample683.0ms

Algorithm
intervals
Results
440.0ms9964×body80valid