Details

Time bar (total: 17.4s)

sample41.0ms

Algorithm
intervals
Results
20.0ms232×body80valid
3.0msbody1280valid
3.0msbody640valid
1.0msbody2560valid
1.0msbody320valid
0.0msbody160valid

simplify73.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
add-sqr-sqrt pow1 sub-neg *-un-lft-identity flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt insert-posit16 flip--
Counts
1 → 13
Calls
1 calls:
4.0ms
(- x (* (/ 3.0 8.0) y))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(- x (* (/ 3.0 8.0) y))

simplify2.3s

Counts
16 → 16
Iterations
IterNodes
done5001
42676
3884
2250
182
033

prune61.0ms

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)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
flip3-- pow1/3 flip--
swap-sqr associate-*r* associate-*l* add-exp-log
frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 91
Calls
4 calls:
30.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms
(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)))

series1.3s

Counts
4 → 12
Calls
4 calls:
297.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
318.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
337.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
367.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify1.5s

Counts
103 → 103
Iterations
IterNodes
done5000
31735
2677
1260
0121

prune436.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
62×cbrt-div
19×flip3-- flip--
12×frac-times
cbrt-prod associate-*l/ associate-*r/
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Counts
4 → 68
Calls
4 calls:
5.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
16.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
16.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
17.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
395.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
313.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
297.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
329.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify2.8s

Counts
80 → 80
Iterations
IterNodes
done5005
44701
31284
2497
1218
0117

prune658.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize74.0ms

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
44×cbrt-div
14×flip3-- flip--
cbrt-prod frac-times
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
pow1 add-cbrt-cube pow1/3 associate-*l/ associate-*r/ add-exp-log insert-posit16 add-log-exp
Counts
4 → 64
Calls
4 calls:
4.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
24.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
17.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.5s

Counts
4 → 12
Calls
4 calls:
369.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
403.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
353.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
361.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify2.8s

Counts
76 → 76
Iterations
IterNodes
done5005
44701
31284
2497
1218
0117

prune598.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes340.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample1.3s

Algorithm
intervals
Results
507.0ms7339×body80valid
436.0ms123×body2560valid
127.0ms237×body1280valid
65.0ms164×body640valid
17.0ms96×body320valid
8.0ms41×body160valid