Details

Time bar (total: 12.4s)

sample24.0ms

Algorithm
intervals
Results
9.0ms316×body80valid

simplify44.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2377
3677
4797
done797

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.5b

localize7.0ms

Local error

Found 1 expressions with local error:

11.1b
(/ (* a1 a2) (* b1 b2))

rewrite20.0ms

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

series32.0ms

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

simplify965.0ms

Counts
26 → 26
Iterations

Useful iterations: 2 (132.0ms)

IterNodesCost
055285
1154277
2836207
done5000207

prune70.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

5.5b
(/ (* b1 b2) a2)
6.4b
(/ a1 (/ (* b1 b2) a2))

rewrite35.0ms

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:
11.0ms
(/ (* b1 b2) a2)
22.0ms
(/ a1 (/ (* b1 b2) a2))

series87.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (* b1 b2) a2)
53.0ms
(/ a1 (/ (* b1 b2) a2))

simplify1.5s

Counts
79 → 79
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0127852
1284819
21045731
done5000725

prune249.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

4.9b
(* (/ 1 b1) (* (/ a1 b2) a2))
4.9b
(* (/ a1 b2) a2)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
26×associate-*l*
22×add-sqr-sqrt prod-exp
19×times-frac
17×add-cube-cbrt *-un-lft-identity
12×cbrt-unprod
11×div-exp
9×pow1
6×cbrt-undiv
4×associate-*r* pow-prod-down associate-*l/
3×rec-exp 1-exp
2×expm1-log1p-u *-commutative log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-times associate-*r/
Counts
2 → 81
Calls
2 calls:
51.0ms
(* (/ 1 b1) (* (/ a1 b2) a2))
23.0ms
(* (/ a1 b2) a2)

series95.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* (/ 1 b1) (* (/ a1 b2) a2))
40.0ms
(* (/ a1 b2) a2)

simplify5.2s

Counts
87 → 87
Iterations

Useful iterations: 2 (317.0ms)

IterNodesCost
0143910
1350781
21139627
34844627
done5000627

prune329.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

4.8b
(/ (/ (* a1 a2) b2) b1)
6.4b
(/ (* a1 a2) b2)

rewrite27.0ms

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:
15.0ms
(/ (/ (* a1 a2) b2) b1)
10.0ms
(/ (* a1 a2) b2)

series70.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (/ (* a1 a2) b2) b1)
36.0ms
(/ (* a1 a2) b2)

simplify1.5s

Counts
79 → 79
Iterations

Useful iterations: 2 (207.0ms)

IterNodesCost
0126843
1299808
2964720
done5000720

prune255.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes570.0ms

Accuracy

75.9% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 11.3b

bsearch3.0ms

simplify9.0ms

Iterations

Useful iterations: done (9.0ms)

IterNodesCost
03091
13779
done3775

end0.0ms

sample1.2s

Algorithm
intervals
Results
478.0ms10017×body80valid