Details

Time bar (total: 1.8s)

sample22.0ms

Algorithm
intervals
Results
7.0ms314×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1373
2673
3793
4793

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize8.0ms

Local error

Found 1 expressions with local error:

13.5b
(/ (* a1 a2) (* b1 b2))

rewrite13.0ms

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:
12.0ms
(/ (* a1 a2) (* b1 b2))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(/ (* a1 a2) (* b1 b2))

simplify29.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0162132
193897
2500197

prune46.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

9.9b
(* (/ a1 b1) (/ a2 b2))

rewrite24.0ms

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:
22.0ms
(* (/ 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

prune113.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

3.8b
(* (/ a1 b1) a2)
7.7b
(/ (* (/ a1 b1) a2) b2)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*l*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*r* associate-/r*
2×expm1-log1p-u associate-*l/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
2 → 60
Calls
2 calls:
16.0ms
(* (/ a1 b1) a2)
13.0ms
(/ (* (/ a1 b1) a2) b2)

series42.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(* (/ a1 b1) a2)
24.0ms
(/ (* (/ a1 b1) a2) b2)

simplify35.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0256272
11257228
25002228

prune116.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

4.9b
(* a1 (/ a2 b2))
6.9b
(/ (* a1 (/ a2 b2)) b1)

rewrite27.0ms

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×expm1-log1p-u associate-*r/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
2 → 60
Calls
2 calls:
13.0ms
(* a1 (/ a2 b2))
12.0ms
(/ (* a1 (/ a2 b2)) b1)

series43.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(* a1 (/ a2 b2))
23.0ms
(/ (* a1 (/ a2 b2)) b1)

simplify34.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0274278
11346235
25002235

prune104.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0b

regimes463.0ms

Accuracy

78.8% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 11.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03227
13527
23827
33827

end0.0ms

sample549.0ms

Algorithm
intervals
Results
218.0ms10005×body80valid