Details

Time bar (total: 2.1s)

sample18.0ms

Algorithm
intervals
Results
7.0ms313×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: 10.3b

localize5.0ms

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 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:
5.0ms
(/ (* a1 a2) (* b1 b2))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(/ (* a1 a2) (* b1 b2))

simplify37.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0162132
193897
2500197

prune58.0ms

Filtered
26 candidates to 15 candidates (57.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (/ (* b1 b2) (* a1 a2)))
9.9b
(/ (* b1 b2) (* a1 a2))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
32×add-cbrt-cube
26×div-exp
20×times-frac
16×prod-exp
13×cbrt-undiv
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×cbrt-unprod
6×associate-/r* div-inv
5×rec-exp 1-exp
4×associate-/l*
3×pow1
2×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 81
Calls
2 calls:
7.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
5.0ms
(/ (* b1 b2) (* a1 a2))

series59.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
26.0ms
(/ (* b1 b2) (* a1 a2))

simplify46.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0326524
11820428
25001403

prune116.0ms

Filtered
87 candidates to 39 candidates (44.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.5b
(/ 1 (/ b1 (/ (* a1 a2) b2)))
4.4b
(/ (* a1 a2) b2)
5.9b
(/ b1 (/ (* a1 a2) b2))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
104×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
51×add-exp-log
36×associate-/r*
31×add-cbrt-cube
30×div-exp
23×div-inv
16×cbrt-undiv
7×associate-/l*
6×associate-/r/
5×prod-exp
4×pow1 rec-exp 1-exp
3×expm1-log1p-u frac-2neg clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
3 → 211
Calls
3 calls:
10.0ms
(/ 1 (/ b1 (/ (* a1 a2) b2)))
4.0ms
(/ (* a1 a2) b2)
6.0ms
(/ b1 (/ (* a1 a2) b2))

series79.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ 1 (/ b1 (/ (* a1 a2) b2)))
18.0ms
(/ (* a1 a2) b2)
34.0ms
(/ b1 (/ (* a1 a2) b2))

simplify89.0ms

Algorithm
egg-herbie
Counts
220 → 220
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07281627
139611423
250031290

prune334.0ms

Filtered
220 candidates to 124 candidates (56.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

4.4b
(/ (* a1 a2) b2)
6.1b
(* (/ 1 b1) (/ (* a1 a2) b2))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
20×add-sqr-sqrt
17×times-frac prod-exp
16×div-exp
14×*-un-lft-identity
13×add-cube-cbrt associate-*l*
9×cbrt-undiv cbrt-unprod
7×associate-*r*
4×pow1
3×rec-exp 1-exp associate-/r* div-inv unswap-sqr
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
2 → 78
Calls
2 calls:
4.0ms
(/ (* a1 a2) b2)
10.0ms
(* (/ 1 b1) (/ (* a1 a2) b2))

series44.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (* a1 a2) b2)
26.0ms
(* (/ 1 b1) (/ (* a1 a2) b2))

simplify47.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0372432
12005344
25001325

prune134.0ms

Filtered
84 candidates to 50 candidates (59.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes360.0ms

Accuracy

78.3% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 11.5b

bsearch1.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
03533
14433
25020
35320
45920
57020
67720
77820
87820

end0.0ms

sample507.0ms

Algorithm
intervals
Results
244.0ms10031×body80valid