Details

Time bar (total: 11.0s)

sample52.0ms

Algorithm
intervals
Results
24.0ms325×body80valid

simplify77.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2377
3677
4797
done797

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize13.0ms

Local error

Found 1 expressions with local error:

11.3b
(/ (* a1 a2) (* b1 b2))

rewrite36.0ms

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:
34.0ms
(/ (* a1 a2) (* b1 b2))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ (* a1 a2) (* b1 b2))

simplify805.0ms

Counts
26 → 26
Iterations

Useful iterations: 2 (135.0ms)

IterNodesCost
055285
1154277
2836207
done5000207

prune51.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

3.6b
(/ (* a1 a2) b1)
6.8b
(/ (/ (* a1 a2) b1) b2)

rewrite28.0ms

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:
11.0ms
(/ (* a1 a2) b1)
14.0ms
(/ (/ (* a1 a2) b1) b2)

series85.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (* a1 a2) b1)
61.0ms
(/ (/ (* a1 a2) b1) b2)

simplify1.4s

Counts
79 → 79
Iterations

Useful iterations: 2 (195.0ms)

IterNodesCost
0127843
1299808
2945720
done5000720

prune260.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b1)
0.6b
(cbrt b1)
1.8b
(/ (/ a2 (cbrt b1)) b2)
8.3b
(* (/ a1 (* (cbrt b1) (cbrt b1))) (/ (/ a2 (cbrt b1)) b2))

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
275×times-frac
171×add-sqr-sqrt
145×add-cube-cbrt *-un-lft-identity
71×cbrt-prod
70×associate-*r*
45×add-exp-log
35×add-cbrt-cube
22×associate-/l*
18×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
10×div-inv
8×unswap-sqr
7×associate-*l*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r*
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 251
Calls
4 calls:
2.0ms
(cbrt b1)
2.0ms
(cbrt b1)
30.0ms
(/ (/ a2 (cbrt b1)) b2)
143.0ms
(* (/ a1 (* (cbrt b1) (cbrt b1))) (/ (/ a2 (cbrt b1)) b2))

series784.0ms

Counts
4 → 12
Calls
4 calls:
285.0ms
(cbrt b1)
272.0ms
(cbrt b1)
116.0ms
(/ (/ a2 (cbrt b1)) b2)
110.0ms
(* (/ a1 (* (cbrt b1) (cbrt b1))) (/ (/ a2 (cbrt b1)) b2))

simplify2.5s

Counts
263 → 263
Iterations

Useful iterations: done (2.5s)

IterNodesCost
03694084
110653843
242353253
done50013124

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.5b
(/ 1 (/ b2 (/ (* a1 a2) b1)))
3.6b
(/ (* a1 a2) b1)
6.7b
(/ b2 (/ (* a1 a2) b1))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
104×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
51×add-exp-log
36×associate-/r*
31×add-cbrt-cube
30×div-exp
23×div-inv
16×cbrt-undiv
7×associate-/l*
6×associate-/r/
5×prod-exp
4×pow1 rec-exp 1-exp
3×expm1-log1p-u frac-2neg clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
3 → 211
Calls
3 calls:
42.0ms
(/ 1 (/ b2 (/ (* a1 a2) b1)))
19.0ms
(/ (* a1 a2) b1)
21.0ms
(/ b2 (/ (* a1 a2) b1))

series157.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ 1 (/ b2 (/ (* a1 a2) b1)))
46.0ms
(/ (* a1 a2) b1)
58.0ms
(/ b2 (/ (* a1 a2) b1))

simplify1.1s

Counts
220 → 220
Iterations

Useful iterations: 2 (452.0ms)

IterNodesCost
03123275
16962817
218662462
done50002462

prune467.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes575.0ms

Accuracy

82% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 10.4b

bsearch2.0ms

simplify9.0ms

Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
03086
13782
done3782

end0.0ms

sample989.0ms

Algorithm
intervals
Results
394.0ms10020×body80valid