Details

Time bar (total: 2.5s)

sample19.0ms

Algorithm
intervals
Results
6.0ms313×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1373
2673
3793
4793
done793

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.5b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:
12.0ms
(/ (* a1 a2) (* b1 b2))

series33.0ms

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

simplify29.0ms

Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0162132
193897
2500197
done500197

prune44.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

5.2b
(/ (/ (* a1 a2) b1) b2)
5.2b
(/ (* a1 a2) b1)

rewrite24.0ms

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:
13.0ms
(/ (/ (* a1 a2) b1) b2)
9.0ms
(/ (* a1 a2) b1)

series52.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (/ (* a1 a2) b1) b2)
20.0ms
(/ (* a1 a2) b1)

simplify38.0ms

Counts
79 → 79
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0305406
11333361
25002361
done5002361

prune145.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

5.2b
(/ (* a1 a2) b1)
5.3b
(* (/ (* a1 a2) b1) (/ 1 b2))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
20×add-sqr-sqrt
17×times-frac prod-exp
16×div-exp
14×*-un-lft-identity
13×add-cube-cbrt associate-*r*
9×cbrt-undiv cbrt-unprod
7×associate-*l*
4×pow1
3×rec-exp 1-exp associate-/r* div-inv unswap-sqr
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num un-div-inv *-commutative associate-/l*
Counts
2 → 79
Calls
2 calls:
9.0ms
(/ (* a1 a2) b1)
28.0ms
(* (/ (* a1 a2) b1) (/ 1 b2))

series49.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (* a1 a2) b1)
29.0ms
(* (/ (* a1 a2) b1) (/ 1 b2))

simplify50.0ms

Counts
85 → 85
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0400443
12163355
25002343
done5002343

prune129.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

5.2b
(/ (/ a1 (/ b1 a2)) b2)
6.2b
(/ a1 (/ b1 a2))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac
229×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
47×associate-/l*
22×div-inv
16×add-exp-log associate-/r* add-cbrt-cube
9×cbrt-undiv div-exp
5×associate-/r/
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 270
Calls
2 calls:
21.0ms
(/ (/ a1 (/ b1 a2)) b2)
8.0ms
(/ a1 (/ b1 a2))

series51.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (/ a1 (/ b1 a2)) b2)
22.0ms
(/ a1 (/ b1 a2))

simplify106.0ms

Counts
276 → 276
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
011172347
148602258
250012258
done50012258

prune643.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes379.0ms

Accuracy

70% (3.4b remaining)

Error of 3.4b against oracle of 0.0b and baseline of 11.3b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
02727
13027
23618
33918
44518
55618
66318
76418
86418
done6418

end0.0ms

sample551.0ms

Algorithm
intervals
Results
211.0ms9969×body80valid