Details

Time bar (total: 1.8s)

sample18.0ms

Algorithm
intervals
Results
7.0ms323×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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.5b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

12.1b
(/ (* 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 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:
5.0ms
(/ (* a1 a2) (* b1 b2))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(/ (* a1 a2) (* b1 b2))

simplify29.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0160124
193689
2500189

prune43.0ms

Filtered
24 candidates to 13 candidates (54.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New18624
Fresh000
Picked101
Done000
Total19625

Merged error: 0.1b

Counts
25 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

3.6b
(/ (* a1 a2) b1)
8.7b
(/ (/ (* 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 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/l/
Counts
2 → 69
Calls
2 calls:
4.0ms
(/ (* a1 a2) b1)
6.0ms
(/ (/ (* a1 a2) b1) b2)

series46.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (* a1 a2) b1)
27.0ms
(/ (/ (* a1 a2) b1) b2)

simplify37.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0301392
11329347
25001347

prune134.0ms

Filtered
75 candidates to 55 candidates (73.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New70575
Fresh235
Picked101
Done000
Total73881

Merged error: 0.0b

Counts
81 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

3.6b
(* (* a1 a2) (/ 1 b1))
8.7b
(/ (* (* a1 a2) (/ 1 b1)) b2)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
56×add-exp-log
32×add-cbrt-cube
24×prod-exp
17×div-exp
13×associate-*r*
12×times-frac cbrt-unprod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-undiv
7×pow1
4×rec-exp 1-exp
3×pow-prod-down associate-/r*
2×associate-*r/ un-div-inv div-inv associate-/l/ add-log-exp
1×frac-2neg associate-*l* clear-num *-commutative associate-/l*
Counts
2 → 71
Calls
2 calls:
7.0ms
(* (* a1 a2) (/ 1 b1))
9.0ms
(/ (* (* a1 a2) (/ 1 b1)) b2)

series49.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(* (* a1 a2) (/ 1 b1))
27.0ms
(/ (* (* a1 a2) (/ 1 b1)) b2)

simplify51.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0388394
12237284
25002271

prune85.0ms

Filtered
77 candidates to 37 candidates (48.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New75277
Fresh077
Picked101
Done000
Total76985

Merged error: 0b

Counts
85 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.9b
(/ 1 (* (/ b2 (* a1 a2)) b1))
4.7b
(* (/ b2 (* a1 a2)) b1)
6.4b
(/ b2 (* a1 a2))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
31×add-cbrt-cube
18×div-exp
17×prod-exp
12×add-sqr-sqrt
10×cbrt-undiv add-cube-cbrt *-un-lft-identity
9×times-frac cbrt-unprod
8×pow1
7×associate-*l*
6×associate-/l*
4×rec-exp 1-exp
3×associate-*r* div-inv add-log-exp
2×pow-flip frac-2neg pow-prod-down associate-*l/ clear-num associate-/r*
1×associate-/r/ *-commutative inv-pow unswap-sqr
Counts
3 → 85
Calls
3 calls:
10.0ms
(/ 1 (* (/ b2 (* a1 a2)) b1))
7.0ms
(* (/ b2 (* a1 a2)) b1)
4.0ms
(/ b2 (* a1 a2))

series74.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ 1 (* (/ b2 (* a1 a2)) b1))
29.0ms
(* (/ b2 (* a1 a2)) b1)
20.0ms
(/ b2 (* a1 a2))

simplify46.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0328445
11632360
25001354

prune96.0ms

Filtered
94 candidates to 50 candidates (53.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New94094
Fresh088
Picked011
Done000
Total949103

Merged error: 0b

Counts
103 → 9

regimes437.0ms

Accuracy

42.9% (6.6b remaining)

Error of 6.6b against oracle of 0.0b and baseline of 11.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03529
13529

end0.0ms

sample479.0ms

Algorithm
intervals
Results
239.0ms9986×body80valid