Details

Time bar (total: 11.5s)

sample51.0ms

Algorithm
intervals
Results
32.0ms321×body80valid

simplify95.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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 expm1-log1p-u pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 24
Calls
1 calls:
15.0ms
(/ (* a1 a2) (* b1 b2))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(/ (* a1 a2) (* b1 b2))

simplify963.0ms

Counts
27 → 27
Iterations
IterNodes
done2006
32006
2915
1166
058

prune79.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

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
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1
2×div-inv
1×expm1-log1p-u frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 53
Calls
1 calls:
13.0ms
(* (/ a1 b1) (/ a2 b2))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(* (/ a1 b1) (/ a2 b2))

simplify1.3s

Counts
56 → 56
Iterations
IterNodes
done2000
32000
21089
1328
0114

prune259.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.6b
(cbrt b2)
3.1b
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
5.8b
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
86×times-frac
68×add-sqr-sqrt
57×add-exp-log
41×*-un-lft-identity add-cube-cbrt
40×add-cbrt-cube
23×cbrt-undiv div-exp
22×associate-*r*
18×cbrt-prod
17×associate-*l*
16×prod-exp cbrt-unprod
13×associate-/l*
9×unswap-sqr
6×pow1 div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×pow1/3
1×frac-times clear-num associate-/r* frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 160
Calls
4 calls:
1.0ms
(cbrt b2)
1.0ms
(cbrt b2)
12.0ms
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
51.0ms
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

series783.0ms

Counts
4 → 12
Calls
4 calls:
289.0ms
(cbrt b2)
250.0ms
(cbrt b2)
159.0ms
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
84.0ms
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

simplify885.0ms

Counts
172 → 172
Iterations
IterNodes
done2000
22000
1792
0254

prune841.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

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

rewrite232.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
60×cbrt-prod
41×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
12×prod-exp cbrt-unprod
7×associate-*r/ div-inv
6×pow-prod-down
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*l* *-commutative
Counts
4 → 151
Calls
4 calls:
211.0ms
(* (* (* (cbrt (/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))) (cbrt (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))))) (cbrt (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))))) (/ a2 (cbrt b2)))
5.0ms
(cbrt (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))))
5.0ms
(cbrt (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))))
5.0ms
(cbrt (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))))

series1.0s

Counts
4 → 12
Calls
4 calls:
120.0ms
(* (* (* (cbrt (/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))) (cbrt (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))))) (cbrt (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))))) (/ a2 (cbrt b2)))
274.0ms
(cbrt (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))))
333.0ms
(cbrt (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))))
294.0ms
(cbrt (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))))

simplify1.6s

Counts
163 → 163
Iterations
IterNodes
done2001
32001
21890
1608
0259

prune1.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes739.0ms

Accuracy

50.9% (4.9b remaining)

Error of 5.0b against oracle of 0.0b and baseline of 10.1b

bsearch2.0ms

simplify9.0ms

Iterations
IterNodes
done32
132
028

end0.0ms

sample1.1s

Algorithm
intervals
Results
747.0ms10111×body80valid