Details

Time bar (total: 11.4s)

sample40.0ms

Algorithm
intervals
Results
15.0ms315×body80valid

simplify40.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.4b

localize7.0ms

Local error

Found 1 expressions with local error:

11.1b
(/ (* a1 a2) (* b1 b2))

rewrite14.0ms

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

series40.0ms

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

simplify399.0ms

Counts
24 → 24

prune78.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

3.3b
(/ (* a1 a2) b1)
7.0b
(/ (/ (* a1 a2) b1) b2)

rewrite42.0ms

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:
18.0ms
(/ (* a1 a2) b1)
22.0ms
(/ (/ (* a1 a2) b1) b2)

series63.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (* a1 a2) b1)
40.0ms
(/ (/ (* a1 a2) b1) b2)

simplify557.0ms

Counts
75 → 75

prune245.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
1.1b
(/ (/ a2 (cbrt b1)) (cbrt b2))
4.0b
(/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2)))
5.4b
(* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (/ (/ a2 (cbrt b1)) (cbrt b2)))

rewrite313.0ms

Algorithm
rewrite-expression-head
Rules
572×times-frac
344×add-sqr-sqrt
272×add-cube-cbrt *-un-lft-identity
270×cbrt-prod
138×add-exp-log
136×associate-*r*
74×add-cbrt-cube
64×cbrt-undiv div-exp
41×prod-exp cbrt-unprod
29×associate-/l*
21×unswap-sqr
20×div-inv
11×associate-*l*
7×associate-/r*
6×pow1
4×add-log-exp
2×frac-2neg clear-num associate-/l/
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 446
Calls
4 calls:
1.0ms
(cbrt b2)
19.0ms
(/ (/ a2 (cbrt b1)) (cbrt b2))
36.0ms
(/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2)))
222.0ms
(* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (/ (/ a2 (cbrt b1)) (cbrt b2)))

series692.0ms

Counts
4 → 12
Calls
4 calls:
263.0ms
(cbrt b2)
149.0ms
(/ (/ a2 (cbrt b1)) (cbrt b2))
173.0ms
(/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2)))
106.0ms
(* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (/ (/ a2 (cbrt b1)) (cbrt b2)))

simplify1.1s

Counts
458 → 458

prune2.5s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.6b
(cbrt b2)
3.9b
(/ (* (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt a2) (cbrt a2))) (* (cbrt b2) (cbrt b2)))
4.2b
(* (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt a2) (cbrt a2)))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
90×add-exp-log
46×add-cbrt-cube
40×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
10×add-sqr-sqrt
9×pow1
8×add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×cbrt-prod
5×times-frac
4×add-log-exp
3×pow-prod-down
2×pow1/3 associate-*l/ div-inv unswap-sqr
1×frac-2neg associate-*r* clear-num associate-/r* *-commutative associate-/l/ associate-/l*
Counts
4 → 97
Calls
4 calls:
2.0ms
(cbrt b2)
2.0ms
(cbrt b2)
99.0ms
(/ (* (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt a2) (cbrt a2))) (* (cbrt b2) (cbrt b2)))
91.0ms
(* (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt a2) (cbrt a2)))

series885.0ms

Counts
4 → 12
Calls
4 calls:
266.0ms
(cbrt b2)
257.0ms
(cbrt b2)
235.0ms
(/ (* (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt a2) (cbrt a2))) (* (cbrt b2) (cbrt b2)))
126.0ms
(* (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt a2) (cbrt a2)))

simplify1.2s

Counts
109 → 109

prune421.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

regimes526.0ms

Accuracy

27.2% (5.0b remaining)

Error of 5.1b against oracle of 0.0b and baseline of 6.9b

bsearch2.0ms

simplify386.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
797.0ms10067×body80valid