Details

Time bar (total: 18.1s)

sample117.0ms

Algorithm
intervals
Results
45.0ms50×body1280valid
22.0ms38×body640valid
17.0ms138×body80valid
7.0ms18×body320valid
3.0ms12×body160valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done11
111
08

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

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
+-commutative sum-log flip3-+ flip-+
Counts
3 → 47
Calls
3 calls:
9.0ms
(+ (* x (cos y)) (* z (sin y)))
13.0ms
(* x (cos y))
14.0ms
(* z (sin y))

series200.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(+ (* x (cos y)) (* z (sin y)))
59.0ms
(* x (cos y))
48.0ms
(* z (sin y))

simplify2.0s

Counts
56 → 56
Iterations
IterNodes
done5000
31569
2498
1190
080

prune323.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite35.0ms

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:
28.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))

series679.0ms

Counts
4 → 12
Calls
4 calls:
260.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
142.0ms
(cbrt (cos y))
145.0ms
(cbrt (cos y))
131.0ms
(cbrt (cos y))

simplify1.9s

Counts
85 → 85
Iterations
IterNodes
done5000
31140
2366
1144
064

prune596.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
9.0b
(cbrt (* z (sin y)))
9.0b
(cbrt (* z (sin y)))
9.0b
(cbrt (* z (sin y)))

rewrite47.0ms

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:
25.0ms
(* (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)))

series758.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
190.0ms
(cbrt (* z (sin y)))
184.0ms
(cbrt (* z (sin y)))
170.0ms
(cbrt (* z (sin y)))

simplify2.9s

Counts
70 → 70
Iterations
IterNodes
done5008
44555
31427
2584
1211
087

prune595.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
9.0b
(cbrt (* z (sin y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×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 → 42
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
9.0ms
(cbrt (* z (sin y)))

series766.0ms

Counts
4 → 12
Calls
4 calls:
286.0ms
(cbrt z)
148.0ms
(cbrt (sin y))
121.0ms
(cbrt (sin y))
210.0ms
(cbrt (* z (sin y)))

simplify1.9s

Counts
54 → 54
Iterations
IterNodes
done5000
42677
3944
2372
1166
081

prune464.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes340.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.3s1545×body1280valid
727.0ms1234×body640valid
551.0ms4243×body80valid
214.0ms659×body320valid
127.0ms319×body160valid