Details

Time bar (total: 33.5s)

sample33.0ms

Algorithm
intervals
Results
21.0ms317×body80valid

simplify38.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
38.0ms
(/ (* a1 a2) (* b1 b2))

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize10.0ms

Local error

Found 1 expressions with local error:

14.5b
(/ (* a1 a2) (* b1 b2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×add-sqr-sqrt pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt insert-posit16 div-inv associate-/l* add-log-exp
Counts
1 → 22
Calls
1 calls:
Slowest
12.0ms
(/ (* a1 a2) (* b1 b2))

series43.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
43.0ms
(/ (* a1 a2) (* b1 b2))

simplify4.2s

Counts
27 → 25
Calls
27 calls:
Slowest
803.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
682.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
539.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
424.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
233.0ms
(* (* (/ (* a1 a2) (* b1 b2)) (/ (* a1 a2) (* b1 b2))) (/ (* a1 a2) (* b1 b2)))

prune253.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

12.4b
(* (/ a1 b1) (/ a2 b2))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×times-frac
15×*-un-lft-identity add-cube-cbrt
13×add-cbrt-cube associate-*r* associate-*l* add-exp-log
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative insert-posit16 add-log-exp
Counts
1 → 51
Calls
1 calls:
Slowest
22.0ms
(* (/ a1 b1) (/ a2 b2))

series33.0ms

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

simplify5.4s

Counts
58 → 54
Calls
58 calls:
Slowest
609.0ms
(* (* (* (/ a1 b1) (/ a1 b1)) (/ a1 b1)) (* (* (/ a2 b2) (/ a2 b2)) (/ a2 b2)))
415.0ms
(* (/ a1 b1) (* (cbrt (/ a2 b2)) (cbrt (/ a2 b2))))
402.0ms
(* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2))))
276.0ms
(* (/ (* (* a1 a1) a1) (* (* b1 b1) b1)) (/ (* (* a2 a2) a2) (* (* b2 b2) b2)))
242.0ms
(* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) (sqrt b2)))

prune511.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

7.4b
(/ (* a1 (/ a2 b2)) b1)
5.5b
(* a1 (/ a2 b2))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-cbrt-cube add-exp-log
13×times-frac associate-*r*
12×*-un-lft-identity add-cube-cbrt
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-/r* associate-*l*
2×associate-*r/ insert-posit16 div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l* associate-/l/
Counts
2 → 58
Calls
2 calls:
Slowest
17.0ms
(/ (* a1 (/ a2 b2)) b1)
17.0ms
(* a1 (/ a2 b2))

series91.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
50.0ms
(/ (* a1 (/ a2 b2)) b1)
41.0ms
(* a1 (/ a2 b2))

simplify5.6s

Counts
69 → 64
Calls
69 calls:
Slowest
998.0ms
(* (* (/ (* a1 (/ a2 b2)) b1) (/ (* a1 (/ a2 b2)) b1)) (/ (* a1 (/ a2 b2)) b1))
287.0ms
(* (* (* a1 (/ a2 b2)) (* a1 (/ a2 b2))) (* a1 (/ a2 b2)))
261.0ms
(log (/ (* a1 (/ a2 b2)) b1))
256.0ms
(/ (* (* (* a1 a1) a1) (/ (* (* a2 a2) a2) (* (* b2 b2) b2))) (* (* b1 b1) b1))
236.0ms
(/ (* a1 (/ a2 b2)) (* (cbrt b1) (cbrt b1)))

prune624.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

7.8b
(* a1 (/ (/ a2 b2) b1))
5.7b
(/ (/ a2 b2) b1)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
89×add-sqr-sqrt
80×*-un-lft-identity add-cube-cbrt
43×associate-*r*
16×add-cbrt-cube add-exp-log
13×associate-/l*
9×div-inv
6×cbrt-undiv div-exp
4×pow1
3×associate-/r* associate-*l* prod-exp cbrt-unprod unswap-sqr
2×insert-posit16 add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
2 → 137
Calls
2 calls:
Slowest
20.0ms
(* a1 (/ (/ a2 b2) b1))
7.0ms
(/ (/ a2 b2) b1)

series90.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
46.0ms
(/ (/ a2 b2) b1)
44.0ms
(* a1 (/ (/ a2 b2) b1))

simplify13.3s

Counts
185 → 143
Calls
185 calls:
Slowest
633.0ms
(/ (/ (* (* a2 a2) a2) (* (* b2 b2) b2)) (* (* b1 b1) b1))
429.0ms
(/ (* (* (/ a2 b2) (/ a2 b2)) (/ a2 b2)) (* (* b1 b1) b1))
428.0ms
(* a1 (/ (/ (* (cbrt a2) (cbrt a2)) 1) (* (cbrt b1) (cbrt b1))))
393.0ms
(* a1 (/ (/ (* (cbrt a2) (cbrt a2)) (* (cbrt b2) (cbrt b2))) 1))
363.0ms
(* a1 (/ (/ 1 (* (cbrt b2) (cbrt b2))) (* (cbrt b1) (cbrt b1))))

prune1.4s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes577.0ms

Accuracy

-1.7% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.4b

bsearch6.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
865.0ms9916×body80valid