Details

Time bar (total: 2.2s)

sample30.0ms

Algorithm
intervals
Results
13.0ms313×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:
6.0ms
(/ (* a1 a2) (* b1 b2))

series29.0ms

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

simplify29.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0160124
193689
2500189

prune54.0ms

Filtered
24 candidates to 13 candidates (54.2%)
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))

rewrite16.0ms

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×frac-2neg clear-num add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 77
Calls
2 calls:
8.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
6.0ms
(/ (* b1 b2) (* a1 a2))

series66.0ms

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

simplify49.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0322506
11816410
25003385

prune123.0ms

Filtered
83 candidates to 35 candidates (42.2%)
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))

rewrite37.0ms

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×frac-2neg clear-num cbrt-unprod add-log-exp
1×pow-flip inv-pow
Counts
3 → 205
Calls
3 calls:
16.0ms
(/ 1 (/ b1 (/ (* a1 a2) b2)))
5.0ms
(/ (* a1 a2) b2)
6.0ms
(/ b1 (/ (* a1 a2) b2))

series87.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 1 (/ b1 (/ (* a1 a2) b2)))
19.0ms
(/ (* a1 a2) b2)
33.0ms
(/ b1 (/ (* a1 a2) b2))

simplify88.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07221603
139551399
250011266

prune378.0ms

Filtered
214 candidates to 118 candidates (55.1%)
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))

rewrite18.0ms

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×add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
2 → 74
Calls
2 calls:
4.0ms
(/ (* a1 a2) b2)
10.0ms
(* (/ 1 b1) (/ (* a1 a2) b2))

series52.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (* a1 a2) b2)
32.0ms
(* (/ 1 b1) (/ (* a1 a2) b2))

simplify46.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0368416
12001328
25001309

prune142.0ms

Filtered
80 candidates to 46 candidates (57.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes372.0ms

Accuracy

75.6% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 11.5b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03932
14832
25132
35132

end0.0ms

sample511.0ms

Algorithm
intervals
Results
247.0ms10031×body80valid