Details

Time bar (total: 1.8s)

sample19.0ms

Algorithm
intervals
Results
9.0ms325×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: 11.8b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

11.4b
(/ (* 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))

series27.0ms

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

simplify30.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0162132
193897
2500197

prune39.0ms

Filtered
26 candidates to 15 candidates (57.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New22426
Fresh000
Picked011
Done000
Total22527

Merged error: 0.1b

Counts
27 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

5.6b
(/ a1 (/ (* b1 b2) a2))
6.6b
(/ (* b1 b2) a2)

rewrite14.0ms

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
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 73
Calls
2 calls:
5.0ms
(/ a1 (/ (* b1 b2) a2))
4.0ms
(/ (* b1 b2) a2)

series48.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ a1 (/ (* b1 b2) a2))
18.0ms
(/ (* b1 b2) a2)

simplify38.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0296411
11413367
25001364

prune158.0ms

Filtered
79 candidates to 60 candidates (75.9%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New73679
Fresh033
Picked011
Done101
Total741084

Merged error: 0.0b

Counts
84 → 10

localize5.0ms

Local error

Found 2 expressions with local error:

5.7b
(* a1 (/ a2 (* b1 b2)))
6.7b
(/ a2 (* b1 b2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*l* associate-/l*
2×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 52
Calls
2 calls:
6.0ms
(* a1 (/ a2 (* b1 b2)))
4.0ms
(/ a2 (* b1 b2))

series48.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* a1 (/ a2 (* b1 b2)))
19.0ms
(/ a2 (* b1 b2))

simplify30.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0197241
1945198
25001198

prune82.0ms

Filtered
58 candidates to 39 candidates (67.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New57158
Fresh178
Picked101
Done011
Total59968

Merged error: 0b

Counts
68 → 9

localize5.0ms

Local error

Found 2 expressions with local error:

5.7b
(* a1 (/ (/ a2 b1) b2))
5.8b
(/ (/ a2 b1) b2)

rewrite28.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 139
Calls
2 calls:
14.0ms
(* a1 (/ (/ a2 b1) b2))
6.0ms
(/ (/ a2 b1) b2)

series45.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* a1 (/ (/ a2 b1) b2))
19.0ms
(/ (/ a2 b1) b2)

simplify59.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0550847
12549795
25002795

prune252.0ms

Filtered
145 candidates to 119 candidates (82.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1432145
Fresh257
Picked011
Done011
Total1459154

Merged error: 0b

Counts
154 → 9

regimes320.0ms

Accuracy

49.8% (5.8b remaining)

Error of 5.8b against oracle of 0.0b and baseline of 11.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03221
13221

end0.0ms

sample523.0ms

Algorithm
intervals
Results
276.0ms9920×body80valid

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