Details

Time bar (total: 1.8s)

sample18.0ms

Algorithm
intervals
Results
7.0ms323×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: 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 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:
28.0ms
(/ (* a1 a2) (* b1 b2))

simplify28.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0162132
193897
2500197

prune48.0ms

Filtered
26 candidates to 15 candidates (57.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New20626
Fresh000
Picked101
Done000
Total21627

Merged error: 0.1b

Counts
27 → 6

localize5.0ms

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 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:
19.0ms
(/ (* a1 a2) b1)
31.0ms
(/ (/ (* a1 a2) b1) b2)

simplify40.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0305406
11333361
25002361

prune146.0ms

Filtered
79 candidates to 59 candidates (74.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New74579
Fresh235
Picked101
Done000
Total77885

Merged error: 0.0b

Counts
85 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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×expm1-log1p-u associate-*r/ un-div-inv log1p-expm1-u div-inv associate-/l/ add-log-exp
1×frac-2neg associate-*l* clear-num *-commutative associate-/l*
Counts
2 → 75
Calls
2 calls:
8.0ms
(* (* 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))
28.0ms
(/ (* (* a1 a2) (/ 1 b1)) b2)

simplify54.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0392412
12241302
25001289

prune97.0ms

Filtered
81 candidates to 41 candidates (50.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New79281
Fresh077
Picked101
Done000
Total80989

Merged error: 0b

Counts
89 → 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))

rewrite24.0ms

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×expm1-log1p-u associate-*r* log1p-expm1-u 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 → 91
Calls
3 calls:
9.0ms
(/ 1 (* (/ b2 (* a1 a2)) b1))
6.0ms
(* (/ b2 (* a1 a2)) b1)
5.0ms
(/ b2 (* a1 a2))

series75.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ 1 (* (/ b2 (* a1 a2)) b1))
28.0ms
(* (/ b2 (* a1 a2)) b1)
21.0ms
(/ b2 (* a1 a2))

simplify48.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0334469
11638384
25002378

prune115.0ms

Filtered
100 candidates to 56 candidates (56.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1000100
Fresh088
Picked011
Done000
Total1009109

Merged error: 0b

Counts
109 → 9

regimes456.0ms

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

sample476.0ms

Algorithm
intervals
Results
238.0ms9986×body80valid