Details

Time bar (total: 5.7s)

sample18.0ms

Algorithm
intervals
Results
7.0ms313×body80valid

simplify24.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1167
2377
3647
4757
done757

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.0b

localize8.0ms

Local error

Found 1 expressions with local error:

12.7b
(/ (* a1 a2) (* b1 b2))

rewrite5.0ms

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:
4.0ms
(/ (* a1 a2) (* b1 b2))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(/ (* a1 a2) (* b1 b2))

simplify310.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
053269
1160261
2868191
done5000191

prune44.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

3.9b
(* b2 (/ b1 a2))
6.4b
(/ a1 (* b2 (/ b1 a2)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*l* associate-/l*
2×associate-*r/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num associate-/r* associate-/r/ *-commutative
Counts
2 → 56
Calls
2 calls:
7.0ms
(* b2 (/ b1 a2))
4.0ms
(/ a1 (* b2 (/ b1 a2)))

series49.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(* b2 (/ b1 a2))
28.0ms
(/ a1 (* b2 (/ b1 a2)))

simplify481.0ms

Counts
62 → 62
Iterations

Useful iterations: done (479.0ms)

IterNodesCost
0107561
1265538
21256452
done5000450

prune123.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a1)
0.6b
(cbrt a1)
1.6b
(/ (cbrt a1) (/ b1 a2))
8.1b
(* (/ (* (cbrt a1) (cbrt a1)) b2) (/ (cbrt a1) (/ b1 a2)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
293×times-frac
186×add-sqr-sqrt
154×add-cube-cbrt *-un-lft-identity
91×cbrt-prod
83×associate-*r*
45×add-exp-log
31×add-cbrt-cube
18×cbrt-undiv div-exp
16×div-inv
13×associate-/r*
12×prod-exp cbrt-unprod
10×unswap-sqr
7×associate-*l*
6×pow1 associate-/l*
4×add-log-exp
2×pow1/3 associate-/r/
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 264
Calls
4 calls:
0.0ms
(cbrt a1)
3.0ms
(cbrt a1)
6.0ms
(/ (cbrt a1) (/ b1 a2))
43.0ms
(* (/ (* (cbrt a1) (cbrt a1)) b2) (/ (cbrt a1) (/ b1 a2)))

series528.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt a1)
176.0ms
(cbrt a1)
117.0ms
(/ (cbrt a1) (/ b1 a2))
60.0ms
(* (/ (* (cbrt a1) (cbrt a1)) b2) (/ (cbrt a1) (/ b1 a2)))

simplify402.0ms

Counts
276 → 276
Iterations

Useful iterations: done (390.0ms)

IterNodesCost
03744428
111414138
done50014090

prune727.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a1)
0.6b
(cbrt a1)
1.3b
(/ (* (cbrt (cbrt a1)) (cbrt (cbrt a1))) (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2))))
5.0b
(* (/ (* (cbrt a1) (cbrt a1)) b2) (/ (* (cbrt (cbrt a1)) (cbrt (cbrt a1))) (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2)))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
237×add-exp-log
111×add-cbrt-cube
96×prod-exp cbrt-unprod
94×cbrt-undiv div-exp
25×times-frac
22×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
10×associate-*r*
7×associate-*l*
6×pow1 cbrt-prod div-inv unswap-sqr
5×associate-/r*
4×add-log-exp
2×pow1/3 associate-/r/
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 165
Calls
4 calls:
0.0ms
(cbrt a1)
0.0ms
(cbrt a1)
15.0ms
(/ (* (cbrt (cbrt a1)) (cbrt (cbrt a1))) (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2))))
43.0ms
(* (/ (* (cbrt a1) (cbrt a1)) b2) (/ (* (cbrt (cbrt a1)) (cbrt (cbrt a1))) (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2)))))

series829.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt a1)
174.0ms
(cbrt a1)
199.0ms
(/ (* (cbrt (cbrt a1)) (cbrt (cbrt a1))) (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2))))
273.0ms
(* (/ (* (cbrt a1) (cbrt a1)) b2) (/ (* (cbrt (cbrt a1)) (cbrt (cbrt a1))) (/ (* (cbrt b1) (cbrt b1)) (* (cbrt a2) (cbrt a2)))))

simplify573.0ms

Counts
177 → 177
Iterations

Useful iterations: done (567.0ms)

IterNodesCost
02845509
19735233
done50005137

prune500.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes339.0ms

Accuracy

15.7% (4.9b remaining)

Error of 4.9b against oracle of 0.0b and baseline of 5.8b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
039123
145123
done45123

end0.0ms

sample477.0ms

Algorithm
intervals
Results
232.0ms9948×body80valid