Details

Time bar (total: 14.4s)

sample74.0ms

Algorithm
intervals
Results
28.0ms57×body1280valid
14.0ms42×body640valid
9.0ms132×body80valid
3.0ms16×body320valid
1.0msbody160valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done19
219
112
08

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (cos y)) (* z (sin y)))
0.1b
(* z (sin y))
0.1b
(* x (cos y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
associate-*r* associate-*l*
add-log-exp
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
sub-neg flip3-- diff-log flip--
Counts
3 → 48
Calls
3 calls:
13.0ms
(- (* x (cos y)) (* z (sin y)))
7.0ms
(* z (sin y))
9.0ms
(* x (cos y))

series265.0ms

Counts
3 → 9
Calls
3 calls:
125.0ms
(- (* x (cos y)) (* z (sin y)))
66.0ms
(* z (sin y))
74.0ms
(* x (cos y))

simplify1.5s

Counts
57 → 57
Iterations
IterNodes
done5002
32605
2566
1180
080

prune296.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.1b
(cbrt (* z (sin y)))
7.1b
(cbrt (* z (sin y)))
7.1b
(cbrt (* z (sin y)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
pow1/3
*-un-lft-identity add-cube-cbrt
cbrt-prod
add-exp-log
add-cbrt-cube swap-sqr associate-*r* associate-*l* add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
28.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.0ms
(cbrt (* z (sin y)))
7.0ms
(cbrt (* z (sin y)))
7.0ms
(cbrt (* z (sin y)))

series921.0ms

Counts
4 → 12
Calls
4 calls:
289.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
208.0ms
(cbrt (* z (sin y)))
205.0ms
(cbrt (* z (sin y)))
217.0ms
(cbrt (* z (sin y)))

simplify855.0ms

Counts
70 → 70
Iterations
IterNodes
done5000
2860
1213
087

prune581.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt (sin y))
7.1b
(cbrt (* z (sin y)))
7.1b
(cbrt (* z (sin y)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 40
Calls
4 calls:
2.0ms
(cbrt z)
2.0ms
(cbrt (sin y))
7.0ms
(cbrt (* z (sin y)))
7.0ms
(cbrt (* z (sin y)))

series899.0ms

Counts
4 → 12
Calls
4 calls:
312.0ms
(cbrt z)
153.0ms
(cbrt (sin y))
201.0ms
(cbrt (* z (sin y)))
233.0ms
(cbrt (* z (sin y)))

simplify852.0ms

Counts
52 → 52
Iterations
IterNodes
done5000
31534
2443
1166
081

prune419.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
pow1/3
swap-sqr associate-*r* associate-*l* add-exp-log
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
17.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
2.0ms
(cbrt z)

series1.3s

Counts
4 → 12
Calls
4 calls:
349.0ms
(* (cbrt z) (cbrt z))
341.0ms
(cbrt z)
311.0ms
(cbrt z)
256.0ms
(cbrt z)

simplify1.3s

Counts
85 → 85
Iterations
IterNodes
done5000
2727
1138
061

prune528.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes372.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done18
118
014

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.7s1505×body1280valid
742.0ms1303×body640valid
693.0ms4260×body80valid
251.0ms624×body320valid
65.0ms308×body160valid