Details

Time bar (total: 4.4s)

sample49.0ms

Algorithm
intervals
Results
20.0ms322×body80valid

simplify5.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize14.0ms

Local error

Found 1 expressions with local error:

9.6b
(/ (* a1 a2) (* b1 b2))

rewrite22.0ms

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

series40.0ms

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

simplify40.0ms

Counts
24 → 24

prune90.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

9.4b
(* (/ a1 b1) (/ a2 b2))

rewrite55.0ms

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×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative add-log-exp
Counts
1 → 50
Calls
1 calls:
53.0ms
(* (/ a1 b1) (/ a2 b2))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(* (/ a1 b1) (/ a2 b2))

simplify49.0ms

Counts
53 → 53

prune171.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

3.4b
(* (/ 1 b1) (/ a2 b2))
7.0b
(* a1 (* (/ 1 b1) (/ a2 b2)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
56×add-exp-log
34×add-sqr-sqrt
32×add-cbrt-cube
25×times-frac prod-exp
19×*-un-lft-identity
17×add-cube-cbrt
16×div-exp associate-*l*
14×associate-*r*
13×cbrt-unprod
9×pow1
8×cbrt-undiv
6×unswap-sqr
5×associate-*r/
4×rec-exp 1-exp pow-prod-down
2×frac-times associate-*l/ *-commutative div-inv add-log-exp
Counts
2 → 87
Calls
2 calls:
35.0ms
(* (/ 1 b1) (/ a2 b2))
73.0ms
(* a1 (* (/ 1 b1) (/ a2 b2)))

series71.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(* (/ 1 b1) (/ a2 b2))
49.0ms
(* a1 (* (/ 1 b1) (/ a2 b2)))

simplify63.0ms

Counts
93 → 93

prune217.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a2)
0.6b
(cbrt a2)
3.7b
(/ (* a1 (* (cbrt a2) (cbrt a2))) b1)
6.0b
(* (/ (* a1 (* (cbrt a2) (cbrt a2))) b1) (/ (cbrt a2) b2))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
35×add-cbrt-cube
31×add-sqr-sqrt
26×times-frac
23×add-cube-cbrt *-un-lft-identity
22×associate-*r*
17×prod-exp cbrt-unprod
16×cbrt-prod
13×cbrt-undiv div-exp
7×associate-*l*
6×pow1
4×add-log-exp
3×associate-/r* div-inv unswap-sqr
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 105
Calls
4 calls:
2.0ms
(cbrt a2)
2.0ms
(cbrt a2)
57.0ms
(/ (* a1 (* (cbrt a2) (cbrt a2))) b1)
129.0ms
(* (/ (* a1 (* (cbrt a2) (cbrt a2))) b1) (/ (cbrt a2) b2))

series800.0ms

Counts
4 → 12
Calls
4 calls:
245.0ms
(cbrt a2)
319.0ms
(cbrt a2)
161.0ms
(/ (* a1 (* (cbrt a2) (cbrt a2))) b1)
76.0ms
(* (/ (* a1 (* (cbrt a2) (cbrt a2))) b1) (/ (cbrt a2) b2))

simplify104.0ms

Counts
117 → 117

prune414.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes530.0ms

Accuracy

-1.2% (11.1b remaining)

Error of 11.1b against oracle of 0.0b and baseline of 11.0b

bsearch3.0ms

simplify160.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
526.0ms10013×body80valid