Details

Time bar (total: 8.9s)

sample29.0ms

Algorithm
intervals
Results
15.0ms303×body80valid

simplify36.0ms

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: 9.8b

localize8.0ms

Local error

Found 1 expressions with local error:

9.5b
(/ (* a1 a2) (* b1 b2))

rewrite14.0ms

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:
13.0ms
(/ (* a1 a2) (* b1 b2))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ (* a1 a2) (* b1 b2))

simplify1.0s

Counts
26 → 26
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
055285
1159277
2920207
done5000207

prune48.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

3.3b
(/ (* a1 a2) b1)
7.3b
(/ (/ (* a1 a2) b1) b2)

rewrite26.0ms

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:
10.0ms
(/ (* a1 a2) b1)
14.0ms
(/ (/ (* a1 a2) b1) b2)

series60.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* a1 a2) b1)
37.0ms
(/ (/ (* a1 a2) b1) b2)

simplify791.0ms

Counts
79 → 79
Iterations

Useful iterations: done (788.0ms)

IterNodesCost
0127843
1319808
21762734
done5000726

prune206.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

4.3b
(/ (* b1 b2) a2)
7.4b
(/ a1 (/ (* b1 b2) a2))

rewrite42.0ms

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:
25.0ms
(/ (* b1 b2) a2)
13.0ms
(/ a1 (/ (* b1 b2) a2))

series78.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (* b1 b2) a2)
45.0ms
(/ a1 (/ (* b1 b2) a2))

simplify685.0ms

Counts
79 → 79
Iterations

Useful iterations: done (679.0ms)

IterNodesCost
0127852
1330823
21658741
done5000731

prune156.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

11.2b
(* (/ a1 b1) (/ a2 b2))

rewrite26.0ms

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:
24.0ms
(* (/ a1 b1) (/ a2 b2))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(* (/ a1 b1) (/ a2 b2))

simplify991.0ms

Counts
55 → 55
Iterations

Useful iterations: 2 (172.0ms)

IterNodesCost
0112581
1330563
21774487
done5000487

prune113.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes580.0ms

Accuracy

79.7% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 11.1b

bsearch1.0ms

simplify2.9s

Iterations

Useful iterations: 4 (7.0ms)

IterNodesCost
02275
12869
23163
33757
44056
54656
65956
77456
89856
915156
1020456
1139256
1258056
13130856
14203656
15492456
done500156

end0.0ms

sample1.0s

Algorithm
intervals
Results
417.0ms9940×body80valid