Details

Time bar (total: 11.3s)

sample46.0ms

Algorithm
intervals
Results
22.0ms321×body80valid

simplify61.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07124
116124
235124
358124
471124
578124
679124
done79124

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.5b

localize17.0ms

Local error

Found 1 expressions with local error:

10.2b
(/ (* a1 a2) (* b1 b2))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×add-sqr-sqrt expm1-log1p-u pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
27.0ms
(/ (* a1 a2) (* b1 b2))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/ (* a1 a2) (* b1 b2))

simplify2.5s

Counts
26 → 26
Iterations

Useful iterations: 2 (211.0ms)

IterNodesCost
0575561
11655001
28804361
done50004361

prune154.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

5.1b
(/ a1 (/ (* b1 b2) a2))
5.5b
(/ (* b1 b2) a2)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 73
Calls
2 calls:
11.0ms
(/ a1 (/ (* b1 b2) a2))
13.0ms
(/ (* b1 b2) a2)

series65.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ a1 (/ (* b1 b2) a2))
21.0ms
(/ (* b1 b2) a2)

simplify1.7s

Counts
79 → 79
Iterations

Useful iterations: done (1.7s)

IterNodesCost
012917756
133516678
2126616235
done500115832

prune498.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

5.1b
(/ a1 (/ (* b2 b1) a2))
5.5b
(/ (* b2 b1) a2)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 73
Calls
2 calls:
8.0ms
(/ a1 (/ (* b2 b1) a2))
8.0ms
(/ (* b2 b1) a2)

series69.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ a1 (/ (* b2 b1) a2))
26.0ms
(/ (* b2 b1) a2)

simplify1.5s

Counts
79 → 79
Iterations

Useful iterations: done (1.5s)

IterNodesCost
012717756
133016678
2124216235
done500315832

prune514.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

4.3b
(/ a1 (* b1 b2))
6.0b
(* (/ a1 (* b1 b2)) a2)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
9×add-sqr-sqrt
7×*-un-lft-identity associate-*l* add-cube-cbrt
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*r* associate-/l*
2×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
1×clear-num associate-/r* frac-2neg pow-prod-down associate-*l/ *-commutative unswap-sqr
Counts
2 → 52
Calls
2 calls:
6.0ms
(/ a1 (* b1 b2))
30.0ms
(* (/ a1 (* b1 b2)) a2)

series75.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ a1 (* b1 b2))
35.0ms
(* (/ a1 (* b1 b2)) a2)

simplify1.8s

Counts
58 → 58
Iterations

Useful iterations: done (1.8s)

IterNodesCost
08610303
12099632
28769111
done50028871

prune322.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes914.0ms

Accuracy

72.9% (3.0b remaining)

Error of 3.1b against oracle of 0.1b and baseline of 11.2b

bsearch2.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
027929
133929
done33929

end0.0ms

sample870.0ms

Algorithm
intervals
Results
367.0ms10020×body80valid