Details

Time bar (total: 16.5s)

sample41.0ms

Algorithm
intervals
Results
24.0ms309×body80valid

simplify90.0ms

Counts
1 → 1
Iterations
IterNodes
779
679
578
471
358
235
116
07

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.5b

localize20.0ms

Local error

Found 1 expressions with local error:

11.5b
(/ (* a1 a2) (* b1 b2))

rewrite24.0ms

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:
23.0ms
(/ (* a1 a2) (* b1 b2))

series33.0ms

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

simplify2.7s

Counts
25 → 25
Iterations
IterNodes
36636
2808
1158
056

prune250.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

6.0b
(/ (* a1 a2) b1)
6.2b
(/ (/ (* a1 a2) b1) b2)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
2×pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 add-log-exp
1×associate-/l/
Counts
2 → 71
Calls
2 calls:
18.0ms
(/ (* a1 a2) b1)
21.0ms
(/ (/ (* a1 a2) b1) b2)

series89.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ (* a1 a2) b1)
50.0ms
(/ (/ (* a1 a2) b1) b2)

simplify1.6s

Counts
77 → 77
Iterations
IterNodes
34450
2892
1301
0124

prune836.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b1)
0.6b
(cbrt b1)
2.4b
(/ a1 (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2))))
5.1b
(* (/ a1 (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2)))) (/ a2 (* (cbrt b1) (cbrt b2))))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
115×add-exp-log
71×add-cbrt-cube
56×prod-exp cbrt-unprod
32×cbrt-undiv div-exp
16×add-sqr-sqrt
12×*-un-lft-identity add-cube-cbrt
10×times-frac
7×associate-*r* associate-*l*
6×cbrt-prod pow1
4×insert-posit16 add-log-exp
3×div-inv associate-/l*
2×pow1/3 unswap-sqr
1×frac-times clear-num associate-/r* frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 117
Calls
4 calls:
1.0ms
(cbrt b1)
1.0ms
(cbrt b1)
40.0ms
(/ a1 (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2))))
161.0ms
(* (/ a1 (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2)))) (/ a2 (* (cbrt b1) (cbrt b2))))

series841.0ms

Counts
4 → 12
Calls
4 calls:
298.0ms
(cbrt b1)
261.0ms
(cbrt b1)
192.0ms
(/ a1 (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2))))
90.0ms
(* (/ a1 (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2)))) (/ a2 (* (cbrt b1) (cbrt b2))))

simplify899.0ms

Counts
129 → 129
Iterations
IterNodes
22490
1584
0198

prune1.6s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b1)
0.6b
(cbrt b1)
2.1b
(/ (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2))) (cbrt a1))
5.1b
(* (/ (* (cbrt a1) (cbrt a1)) (/ (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2))) (cbrt a1))) (/ a2 (* (cbrt b1) (cbrt b2))))

rewrite219.0ms

Algorithm
rewrite-expression-head
Rules
271×add-exp-log
126×prod-exp cbrt-unprod
118×add-cbrt-cube
97×cbrt-undiv div-exp
30×times-frac
24×add-sqr-sqrt
16×cbrt-prod *-un-lft-identity add-cube-cbrt
15×associate-*l*
7×associate-*r*
6×pow1 associate-/r*
4×insert-posit16 div-inv add-log-exp unswap-sqr
2×pow1/3
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ associate-/r/ *-commutative associate-/l*
Counts
4 → 175
Calls
4 calls:
1.0ms
(cbrt b1)
1.0ms
(cbrt b1)
51.0ms
(/ (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2))) (cbrt a1))
158.0ms
(* (/ (* (cbrt a1) (cbrt a1)) (/ (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2))) (cbrt a1))) (/ a2 (* (cbrt b1) (cbrt b2))))

series765.0ms

Counts
4 → 12
Calls
4 calls:
264.0ms
(cbrt b1)
275.0ms
(cbrt b1)
139.0ms
(/ (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2))) (cbrt a1))
87.0ms
(* (/ (* (cbrt a1) (cbrt a1)) (/ (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2))) (cbrt a1))) (/ a2 (* (cbrt b1) (cbrt b2))))

simplify1.6s

Counts
187 → 187
Iterations
IterNodes
24378
1951
0308

prune2.5s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0b

regimes558.0ms

Accuracy

6.2% (5.3b remaining)

Error of 5.3b against oracle of 0.0b and baseline of 5.7b

bsearch1.0ms

simplify8.0ms

Iterations
IterNodes
246
146
040

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s10039×body80valid