Details

Time bar (total: 2.7s)

sample17.0ms

Algorithm
intervals
Results
7.0ms313×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: 13.0b

localize6.0ms

Local error

Found 1 expressions with local error:

12.7b
(/ (* 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 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))

series28.0ms

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

simplify28.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0160124
193689
2500189

prune45.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

10.1b
(* (/ a1 b1) (/ a2 b2))

rewrite15.0ms

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×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative add-log-exp
Counts
1 → 50
Calls
1 calls:
13.0ms
(* (/ a1 b1) (/ a2 b2))

series32.0ms

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

simplify39.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0319278
11415243
25001242

prune115.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

4.5b
(/ (/ a2 b2) b1)
6.3b
(* a1 (/ (/ a2 b2) b1))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
89×add-sqr-sqrt
80×add-cube-cbrt *-un-lft-identity
43×associate-*r*
16×add-exp-log add-cbrt-cube
13×associate-/l*
9×div-inv
6×cbrt-undiv div-exp
4×pow1
3×associate-*l* prod-exp associate-/r* cbrt-unprod unswap-sqr
2×add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 135
Calls
2 calls:
6.0ms
(/ (/ a2 b2) b1)
20.0ms
(* a1 (/ (/ a2 b2) b1))

series51.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (/ a2 b2) b1)
32.0ms
(* a1 (/ (/ a2 b2) b1))

simplify58.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0547833
12544781
25002781

prune323.0ms

Pruning

8 alts after pruning (6 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)
5.0b
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
6.0b
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

rewrite52.0ms

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×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 → 148
Calls
4 calls:
0.0ms
(cbrt b2)
1.0ms
(cbrt b2)
8.0ms
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
37.0ms
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

series558.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt b2)
182.0ms
(cbrt b2)
111.0ms
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
75.0ms
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

simplify86.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07371371
138061113
250011049

prune380.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes371.0ms

Accuracy

71.3% (3.2b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 11.0b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03532
13532

end0.0ms

sample465.0ms

Algorithm
intervals
Results
227.0ms9948×body80valid