Details

Time bar (total: 1.6s)

sample22.0ms

Algorithm
intervals
Results
11.0ms316×body80valid

simplify9.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

7.8b
(/ (* 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))

series28.0ms

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

simplify28.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0162132
193897
2500197

prune45.0ms

Filtered
26 candidates to 15 candidates (57.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New20626
Fresh000
Picked011
Done000
Total20727

Merged error: 0.0b

Counts
27 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (* b1 b2))
7.6b
(* (* a1 a2) (/ 1 (* b1 b2)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
30×prod-exp
28×add-cbrt-cube
12×div-exp cbrt-unprod
10×pow1
7×associate-*r*
6×cbrt-undiv add-sqr-sqrt add-cube-cbrt rec-exp *-un-lft-identity times-frac 1-exp
4×pow-prod-down
3×associate-/l*
2×expm1-log1p-u pow-flip log1p-expm1-u div-inv add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num associate-/r* un-div-inv *-commutative inv-pow
Counts
2 → 72
Calls
2 calls:
4.0ms
(/ 1 (* b1 b2))
8.0ms
(* (* a1 a2) (/ 1 (* b1 b2)))

series44.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ 1 (* b1 b2))
32.0ms
(* (* a1 a2) (/ 1 (* b1 b2)))

simplify43.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0299353
11500272
25001247

prune86.0ms

Filtered
78 candidates to 33 candidates (42.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New74478
Fresh055
Picked011
Done101
Total751085

Merged error: 0.0b

Counts
85 → 10

localize6.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (/ (* b1 b2) (* a1 a2)))
7.8b
(/ (* b1 b2) (* a1 a2))

rewrite20.0ms

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:
11.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
5.0ms
(/ (* b1 b2) (* a1 a2))

series59.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
28.0ms
(/ (* b1 b2) (* a1 a2))

simplify48.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0326524
11820428
25001403

prune93.0ms

Filtered
87 candidates to 39 candidates (44.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New85287
Fresh358
Picked011
Done011
Total88997

Merged error: 0.0b

Counts
97 → 9

localize5.0ms

Local error

Found 2 expressions with local error:

2.6b
(/ (* a1 a2) b1)
7.3b
(/ (/ (* a1 a2) b1) b2)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 73
Calls
2 calls:
4.0ms
(/ (* a1 a2) b1)
6.0ms
(/ (/ (* a1 a2) b1) b2)

series50.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (* a1 a2) b1)
27.0ms
(/ (/ (* a1 a2) b1) b2)

simplify37.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0305406
11333361
25002361

prune120.0ms

Filtered
79 candidates to 59 candidates (74.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New77279
Fresh336
Picked011
Done022
Total80888

Merged error: 0b

Counts
88 → 8

regimes289.0ms

Accuracy

47.7% (6.0b remaining)

Error of 6.0b against oracle of 0.0b and baseline of 11.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04022
14022

end0.0ms

sample510.0ms

Algorithm
intervals
Results
276.0ms9902×body80valid