Details

Time bar (total: 38.4s)

sample132.0ms

Algorithm
intervals
Results
43.0ms47×body1280valid
21.0ms34×body640valid
19.0ms147×body80valid
7.0ms17×body320valid
3.0ms11×body160valid

simplify42.0ms

Counts
1 → 1
Iterations
IterNodes
done19
219
112
08

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize55.0ms

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))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
6×associate-*r* associate-*l*
5×add-log-exp
3×insert-posit16
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sub-neg flip3-- diff-log flip--
Counts
3 → 51
Calls
3 calls:
12.0ms
(- (* x (cos y)) (* z (sin y)))
13.0ms
(* z (sin y))
13.0ms
(* x (cos y))

series294.0ms

Counts
3 → 9
Calls
3 calls:
140.0ms
(- (* x (cos y)) (* z (sin y)))
81.0ms
(* z (sin y))
73.0ms
(* x (cos y))

simplify4.0s

Counts
60 → 60
Iterations
IterNodes
done5000
31398
2419
1183
083

prune785.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 77
Calls
4 calls:
16.0ms
(* (cbrt z) (cbrt z))
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)

series1.4s

Counts
4 → 12
Calls
4 calls:
346.0ms
(* (cbrt z) (cbrt z))
324.0ms
(cbrt z)
344.0ms
(cbrt z)
345.0ms
(cbrt z)

simplify8.0s

Counts
89 → 89
Iterations
IterNodes
done5015
43770
31044
2353
1137
063

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
9.8b
(cbrt (* z (sin y)))
9.8b
(cbrt (* z (sin y)))
9.8b
(cbrt (* z (sin y)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 62
Calls
4 calls:
41.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
13.0ms
(cbrt (* z (sin y)))
6.0ms
(cbrt (* z (sin y)))
7.0ms
(cbrt (* z (sin y)))

series1.3s

Counts
4 → 12
Calls
4 calls:
400.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
331.0ms
(cbrt (* z (sin y)))
274.0ms
(cbrt (* z (sin y)))
290.0ms
(cbrt (* z (sin y)))

simplify7.8s

Counts
74 → 74
Iterations
IterNodes
done5000
44679
31437
2584
1213
089

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize118.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin y))
0.6b
(cbrt z)
9.8b
(cbrt (* z (sin y)))
9.8b
(cbrt (* z (sin y)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Counts
4 → 44
Calls
4 calls:
3.0ms
(cbrt (sin y))
2.0ms
(cbrt z)
6.0ms
(cbrt (* z (sin y)))
7.0ms
(cbrt (* z (sin y)))

series1.6s

Counts
4 → 12
Calls
4 calls:
197.0ms
(cbrt (sin y))
731.0ms
(cbrt z)
315.0ms
(cbrt (* z (sin y)))
314.0ms
(cbrt (* z (sin y)))

simplify4.5s

Counts
56 → 56
Iterations
IterNodes
done5000
42587
3919
2375
1169
084

prune858.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes902.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done14
114
011

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.7s1523×body1280valid
724.0ms1261×body640valid
547.0ms4237×body80valid
348.0ms645×body320valid
125.0ms334×body160valid