Details

Time bar (total: 7.8s)

sample30.0ms

Algorithm
intervals
Results
11.0ms308×body80valid

simplify69.0ms

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: 9.4b

localize6.0ms

Local error

Found 1 expressions with local error:

9.1b
(/ (* a1 a2) (* b1 b2))

rewrite16.0ms

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

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ (* a1 a2) (* b1 b2))

simplify1.3s

Counts
26 → 26
Iterations

Useful iterations: 2 (125.0ms)

IterNodesCost
055285
1159277
2920207
done5000207

prune89.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (/ (* b1 b2) (* a1 a2)))
9.0b
(/ (* b1 b2) (* a1 a2))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
32×add-cbrt-cube
26×div-exp
20×times-frac
16×prod-exp
13×cbrt-undiv
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×cbrt-unprod
6×associate-/r* div-inv
5×rec-exp 1-exp
4×associate-/l*
3×pow1
2×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 81
Calls
2 calls:
32.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
20.0ms
(/ (* b1 b2) (* a1 a2))

series74.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
33.0ms
(/ (* b1 b2) (* a1 a2))

simplify1.4s

Counts
87 → 87
Iterations

Useful iterations: 2 (245.0ms)

IterNodesCost
01241135
13451000
21682842
done5000842

prune178.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

9.1b
(/ (* a1 a2) (* b1 b2))

rewrite27.0ms

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

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ (* a1 a2) (* b1 b2))

simplify1.4s

Counts
26 → 26
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
055285
1159277
2920207
done5000207

prune68.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

5.4b
(/ (* b1 b2) a2)
6.4b
(/ a1 (/ (* b1 b2) a2))

rewrite40.0ms

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:
21.0ms
(/ (* b1 b2) a2)
15.0ms
(/ a1 (/ (* b1 b2) a2))

series59.0ms

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

simplify846.0ms

Counts
79 → 79
Iterations

Useful iterations: done (843.0ms)

IterNodesCost
0127852
1330823
21658741
done5000731

prune293.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes545.0ms

Accuracy

48.4% (6.0b remaining)

Error of 6.1b against oracle of 0.0b and baseline of 11.7b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02871
13563
23763
done3763

end0.0ms

sample1.1s

Algorithm
intervals
Results
491.0ms9982×body80valid