Details

Time bar (total: 18.9s)

sample20.0ms

Algorithm
intervals
Results
5.0ms229×body80valid
1.0ms9×body1280valid
0.0ms6×body640valid
0.0ms3×body2560valid
0.0ms4×body320valid
0.0ms5×body160valid

simplify59.0ms

Counts
1 → 1
Iterations
IterNodes
done50
750
647
544
438
331
225
112
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* (/ 3.0 8.0) y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×add-sqr-sqrt pow1 sub-neg *-un-lft-identity flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt flip--
Counts
1 → 12
Calls
1 calls:
8.0ms
(- x (* (/ 3.0 8.0) y))

series48.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(- x (* (/ 3.0 8.0) y))

simplify2.7s

Counts
15 → 15
Iterations
IterNodes
done5000
42712
3887
2249
181
032

prune79.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-- pow1/3 flip--
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
44.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

series1.4s

Counts
4 → 12
Calls
4 calls:
366.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
312.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
336.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
352.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify1.4s

Counts
99 → 99
Iterations
IterNodes
done5001
31690
2636
1257
0119

prune652.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-div
10×cbrt-prod
9×flip3-- flip--
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×frac-times pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
2×associate-*l/ associate-*r/
Counts
4 → 56
Calls
4 calls:
5.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
19.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.4s

Counts
4 → 12
Calls
4 calls:
387.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
343.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
338.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
352.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify3.1s

Counts
68 → 68
Iterations
IterNodes
done5007
44726
31256
2495
1216
0115

prune607.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize126.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
0.6b
(cbrt (* (* (* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (- x (* (/ 3.0 8.0) y)))))

rewrite268.0ms

Algorithm
rewrite-expression-head
Rules
486×cbrt-div
140×frac-times
116×flip3-- flip--
70×associate-*l/
61×cbrt-prod
36×add-sqr-sqrt
28×associate-*r/
18×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 177
Calls
4 calls:
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
28.0ms
(* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
211.0ms
(cbrt (* (* (* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.5s

Counts
4 → 12
Calls
4 calls:
323.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
406.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
371.0ms
(* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
370.0ms
(cbrt (* (* (* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify3.1s

Counts
189 → 189
Iterations
IterNodes
done5000
21852
1863
0420

prune1.2s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes323.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample710.0ms

Algorithm
intervals
Results
354.0ms7383×body80valid
36.0ms241×body1280valid
17.0ms150×body640valid
15.0ms83×body2560valid
9.0ms97×body320valid
3.0ms46×body160valid