Details

Time bar (total: 11.2s)

sample36.0ms

Algorithm
intervals
Results
22.0ms321×body80valid

simplify89.0ms

Counts
1 → 1
Iterations
IterNodes
done79
679
578
471
358
235
116
07

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.0b

localize19.0ms

Local error

Found 1 expressions with local error:

10.0b
(/ (* a1 a2) (* b1 b2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
cbrt-undiv div-exp prod-exp cbrt-unprod
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:
12.0ms
(/ (* a1 a2) (* b1 b2))

series40.0ms

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

simplify858.0ms

Counts
25 → 25
Iterations
IterNodes
done2037
32037
2812
1160
056

prune92.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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
cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
pow1
div-inv
frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative insert-posit16 add-log-exp
Counts
1 → 51
Calls
1 calls:
13.0ms
(* (/ a1 b1) (/ a2 b2))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* (/ a1 b1) (/ a2 b2))

simplify994.0ms

Counts
54 → 54
Iterations
IterNodes
done2008
32008
21117
1330
0112

prune179.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.6b
(cbrt b2)
2.5b
(/ (/ a1 (* (cbrt b2) (cbrt b2))) b1)
5.8b
(* (/ (/ a1 (* (cbrt b2) (cbrt b2))) b1) (/ a2 (cbrt b2)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
96×times-frac
79×add-sqr-sqrt
49×*-un-lft-identity add-cube-cbrt
45×add-exp-log
35×add-cbrt-cube
25×associate-*l*
22×associate-*r*
19×cbrt-undiv div-exp
18×cbrt-prod
11×prod-exp cbrt-unprod
10×div-inv
unswap-sqr
associate-/l*
pow1
insert-posit16 add-log-exp
associate-/r*
pow1/3
frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 158
Calls
4 calls:
1.0ms
(cbrt b2)
1.0ms
(cbrt b2)
14.0ms
(/ (/ a1 (* (cbrt b2) (cbrt b2))) b1)
33.0ms
(* (/ (/ a1 (* (cbrt b2) (cbrt b2))) b1) (/ a2 (cbrt b2)))

series629.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(cbrt b2)
199.0ms
(cbrt b2)
134.0ms
(/ (/ a1 (* (cbrt b2) (cbrt b2))) b1)
80.0ms
(* (/ (/ a1 (* (cbrt b2) (cbrt b2))) b1) (/ a2 (cbrt b2)))

simplify1.3s

Counts
170 → 170
Iterations
IterNodes
done2002
22002
1814
0256

prune882.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

5.8b
(* (* (* (cbrt (/ (/ a1 (* (cbrt b2) (cbrt b2))) b1)) (cbrt (/ (/ a1 (* (cbrt b2) (cbrt b2))) b1))) (cbrt (/ (/ a1 (* (cbrt b2) (cbrt b2))) b1))) (/ a2 (cbrt b2)))
13.5b
(cbrt (/ (/ a1 (* (cbrt b2) (cbrt b2))) b1))
13.5b
(cbrt (/ (/ a1 (* (cbrt b2) (cbrt b2))) b1))
13.5b
(cbrt (/ (/ a1 (* (cbrt b2) (cbrt b2))) b1))

rewrite262.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
84×cbrt-prod
59×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×cbrt-div
25×add-exp-log
22×associate-*r*
17×frac-times associate-*l/
14×add-cbrt-cube
13×pow1 div-inv
12×prod-exp cbrt-unprod
associate-*r/
pow-prod-down
insert-posit16 add-log-exp
cbrt-undiv pow1/3 div-exp
associate-*l* *-commutative
Counts
4 → 167
Calls
4 calls:
236.0ms
(* (* (* (cbrt (/ (/ a1 (* (cbrt b2) (cbrt b2))) b1)) (cbrt (/ (/ a1 (* (cbrt b2) (cbrt b2))) b1))) (cbrt (/ (/ a1 (* (cbrt b2) (cbrt b2))) b1))) (/ a2 (cbrt b2)))
6.0ms
(cbrt (/ (/ a1 (* (cbrt b2) (cbrt b2))) b1))
7.0ms
(cbrt (/ (/ a1 (* (cbrt b2) (cbrt b2))) b1))
11.0ms
(cbrt (/ (/ a1 (* (cbrt b2) (cbrt b2))) b1))

series882.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* (* (* (cbrt (/ (/ a1 (* (cbrt b2) (cbrt b2))) b1)) (cbrt (/ (/ a1 (* (cbrt b2) (cbrt b2))) b1))) (cbrt (/ (/ a1 (* (cbrt b2) (cbrt b2))) b1))) (/ a2 (cbrt b2)))
292.0ms
(cbrt (/ (/ a1 (* (cbrt b2) (cbrt b2))) b1))
254.0ms
(cbrt (/ (/ a1 (* (cbrt b2) (cbrt b2))) b1))
250.0ms
(cbrt (/ (/ a1 (* (cbrt b2) (cbrt b2))) b1))

simplify1.4s

Counts
179 → 179
Iterations
IterNodes
done2009
32009
21887
1647
0275

prune1.3s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes779.0ms

Accuracy

47.8% (5.1b remaining)

Error of 5.2b against oracle of 0.0b and baseline of 9.9b

bsearch1.0ms

simplify4.0ms

Iterations
IterNodes
done29
129
025

end0.0ms

sample1.1s

Algorithm
intervals
Results
816.0ms10111×body80valid