Details

Time bar (total: 3.9s)

sample24.0ms

Algorithm
intervals
Results
9.0ms325×body80valid

simplify4.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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 add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
14.0ms
(/ (* a1 a2) (* b1 b2))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ (* a1 a2) (* b1 b2))

simplify23.0ms

Counts
24 → 24

prune43.0ms

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 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/l/
Counts
2 → 69
Calls
2 calls:
11.0ms
(/ (* a1 a2) b1)
14.0ms
(/ (/ (* a1 a2) b1) b2)

series64.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (* a1 a2) b1)
31.0ms
(/ (/ (* a1 a2) b1) b2)

simplify36.0ms

Counts
75 → 75

prune155.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize12.0ms

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))

rewrite103.0ms

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×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 → 243
Calls
4 calls:
1.0ms
(cbrt b1)
1.0ms
(cbrt b1)
15.0ms
(/ (/ a2 (cbrt b1)) b2)
72.0ms
(* (/ a1 (* (cbrt b1) (cbrt b1))) (/ (/ a2 (cbrt b1)) b2))

series549.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(cbrt b1)
191.0ms
(cbrt b1)
94.0ms
(/ (/ a2 (cbrt b1)) b2)
66.0ms
(* (/ a1 (* (cbrt b1) (cbrt b1))) (/ (/ a2 (cbrt b1)) b2))

simplify41.0ms

Counts
255 → 255

prune831.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.5b
(/ 1 (/ b1 (* a1 a2)))
3.4b
(/ b1 (* a1 a2))
6.8b
(/ (/ 1 (/ b1 (* a1 a2))) b2)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
104×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
61×add-exp-log
36×div-exp
32×associate-/l*
31×add-cbrt-cube
23×div-inv
16×cbrt-undiv
11×associate-/r*
7×prod-exp
6×rec-exp 1-exp
5×associate-/r/
4×pow1
3×frac-2neg clear-num cbrt-unprod add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 209
Calls
3 calls:
16.0ms
(/ 1 (/ b1 (* a1 a2)))
15.0ms
(/ b1 (* a1 a2))
28.0ms
(/ (/ 1 (/ b1 (* a1 a2))) b2)

series85.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ 1 (/ b1 (* a1 a2)))
29.0ms
(/ b1 (* a1 a2))
32.0ms
(/ (/ 1 (/ b1 (* a1 a2))) b2)

simplify70.0ms

Counts
218 → 218

prune296.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes318.0ms

Accuracy

54.7% (4.9b remaining)

Error of 5.0b against oracle of 0.0b and baseline of 10.9b

bsearch1.0ms

simplify1.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
622.0ms10020×body80valid