Details

Time bar (total: 3.8s)

sample17.0ms

Algorithm
intervals
Results
7.0ms312×body80valid

simplify23.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1167
2377
3647
4757
done757

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.5b

localize8.0ms

Local error

Found 1 expressions with local error:

9.3b
(/ (* a1 a2) (* b1 b2))

rewrite5.0ms

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:
4.0ms
(/ (* a1 a2) (* b1 b2))

series27.0ms

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

simplify305.0ms

Counts
26 → 26
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
055285
1162277
2870207
done5000207

prune51.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.7b

localize5.0ms

Local error

Found 1 expressions with local error:

9.0b
(* (/ a1 b1) (/ a2 b2))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×times-frac
15×add-cube-cbrt *-un-lft-identity
13×add-exp-log associate-*r* associate-*l* add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1
2×div-inv
1×expm1-log1p-u frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative log1p-expm1-u add-log-exp
Counts
1 → 52
Calls
1 calls:
12.0ms
(* (/ a1 b1) (/ a2 b2))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* (/ a1 b1) (/ a2 b2))

simplify513.0ms

Counts
55 → 55
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
0112581
1325559
21341487
done5000487

prune126.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

4.9b
(* a1 (/ a2 b2))
5.3b
(/ (* a1 (/ a2 b2)) b1)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*l* associate-/r*
2×expm1-log1p-u associate-*r/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
2 → 60
Calls
2 calls:
7.0ms
(* a1 (/ a2 b2))
5.0ms
(/ (* a1 (/ a2 b2)) b1)

series46.0ms

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

simplify468.0ms

Counts
66 → 66
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
0110588
1277561
21244475
done5000475

prune129.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

4.3b
(* (* a1 a2) (/ 1 b2))
5.3b
(/ (* (* a1 a2) (/ 1 b2)) b1)

rewrite23.0ms

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:
10.0ms
(* (* a1 a2) (/ 1 b2))
10.0ms
(/ (* (* a1 a2) (/ 1 b2)) b1)

series45.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(* (* a1 a2) (/ 1 b2))
26.0ms
(/ (* (* a1 a2) (/ 1 b2)) b1)

simplify1.0s

Counts
81 → 81
Iterations

Useful iterations: 2 (157.0ms)

IterNodesCost
0132926
1401744
21974556
done5000556

prune107.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes319.0ms

Accuracy

53.3% (5.3b remaining)

Error of 5.4b against oracle of 0.0b and baseline of 11.5b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02661
13455
done3455

end0.0ms

sample474.0ms

Algorithm
intervals
Results
231.0ms9910×body80valid