Details

Time bar (total: 16.8s)

sample48.0ms

Algorithm
intervals
Results
30.0ms317×body80valid

simplify150.0ms

Counts
1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize19.0ms

Local error

Found 1 expressions with local error:

15.0b
(/ (* a1 a2) (* b1 b2))

rewrite14.0ms

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

series39.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
39.0ms
(/ (* a1 a2) (* b1 b2))

simplify2.9s

Counts
25 → 25

prune258.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

9.7b
(* (/ a1 b1) (/ a2 b2))

rewrite27.0ms

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
25.0ms
(* (/ a1 b1) (/ a2 b2))

series32.0ms

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

simplify1.3s

Counts
54 → 54

prune433.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

6.9b
(* a1 (/ (/ a2 b2) b1))
3.8b
(/ (/ a2 b2) b1)

rewrite23.0ms

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
13.0ms
(* a1 (/ (/ a2 b2) b1))
8.0ms
(/ (/ a2 b2) b1)

series57.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
35.0ms
(* a1 (/ (/ a2 b2) b1))
22.0ms
(/ (/ a2 b2) b1)

simplify463.0ms

Counts
143 → 143

prune1.4s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

3.3b
(* (* a1 (* (/ (cbrt a2) (cbrt b1)) (/ (cbrt a2) (cbrt b1)))) (/ (/ (cbrt a2) b2) (cbrt b1)))
2.1b
(/ (/ (cbrt a2) b2) (cbrt b1))
1.4b
(* a1 (* (/ (cbrt a2) (cbrt b1)) (/ (cbrt a2) (cbrt b1))))
0.6b
(cbrt b1)

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
498×times-frac
267×add-sqr-sqrt
266×*-un-lft-identity add-cube-cbrt
255×cbrt-prod
137×associate-*r*
120×add-exp-log
67×add-cbrt-cube
54×prod-exp cbrt-unprod
37×cbrt-undiv div-exp
22×associate-/l*
18×pow1
15×div-inv
13×associate-*r/
9×pow-prod-down
6×frac-times associate-/r* associate-*l/
4×associate-*l* insert-posit16 add-log-exp
2×*-commutative
1×clear-num frac-2neg pow1/3 unswap-sqr associate-/l/
Counts
4 → 409
Calls
4 calls:
Slowest
135.0ms
(* (* a1 (* (/ (cbrt a2) (cbrt b1)) (/ (cbrt a2) (cbrt b1)))) (/ (/ (cbrt a2) b2) (cbrt b1)))
50.0ms
(* a1 (* (/ (cbrt a2) (cbrt b1)) (/ (cbrt a2) (cbrt b1))))
16.0ms
(/ (/ (cbrt a2) b2) (cbrt b1))
1.0ms
(cbrt b1)

series605.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
339.0ms
(cbrt b1)
125.0ms
(/ (/ (cbrt a2) b2) (cbrt b1))
99.0ms
(* a1 (* (/ (cbrt a2) (cbrt b1)) (/ (cbrt a2) (cbrt b1))))
42.0ms
(* (* a1 (* (/ (cbrt a2) (cbrt b1)) (/ (cbrt a2) (cbrt b1)))) (/ (/ (cbrt a2) b2) (cbrt b1)))

simplify1.0s

Counts
421 → 421

prune5.8s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes613.0ms

Accuracy

28.9% (5.1b remaining)

Error of 5.1b against oracle of 0.0b and baseline of 7.2b

bsearch17.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
935.0ms9980×body80valid