Details

Time bar (total: 16.1s)

sample78.0ms

Algorithm
intervals
Results
32.0ms48×body1280valid
14.0ms46×body640valid
9.0ms128×body80valid
6.0ms26×body320valid
1.0ms8×body160valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done11
111
08

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (cos y)) (* z (sin y)))
0.1b
(* x (cos y))
0.2b
(* z (sin y))

rewrite24.0ms

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
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative sum-log flip3-+ flip-+
Counts
3 → 47
Calls
3 calls:
8.0ms
(+ (* x (cos y)) (* z (sin y)))
7.0ms
(* x (cos y))
8.0ms
(* z (sin y))

series164.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(+ (* x (cos y)) (* z (sin y)))
38.0ms
(* x (cos y))
53.0ms
(* z (sin y))

simplify1.5s

Counts
56 → 56
Iterations
IterNodes
done5001
33228
2684
1192
080

prune363.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log
12×cbrt-prod
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×add-cbrt-cube
6×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3
1×associate-*l* *-commutative
Counts
4 → 57
Calls
4 calls:
98.0ms
(* (* (cbrt (cos y)) (* (cbrt (cos y)) x)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series489.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (* (cbrt (cos y)) (* (cbrt (cos y)) x)) (cbrt (cos y)))
151.0ms
(cbrt (cos y))
156.0ms
(cbrt (cos y))
139.0ms
(cbrt (cos y))

simplify953.0ms

Counts
69 → 69
Iterations
IterNodes
done5001
21057
1189
071

prune507.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize90.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 44
Calls
4 calls:
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))

series616.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(cbrt (cos y))
168.0ms
(cbrt (cos y))
142.0ms
(cbrt (cos y))
173.0ms
(cbrt (cos y))

simplify3.4s

Counts
56 → 56
Iterations
IterNodes
done5000
44047
3650
2165
150
027

prune441.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize64.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite36.0ms

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 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 → 73
Calls
4 calls:
25.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
3.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series590.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
144.0ms
(cbrt (sin y))
111.0ms
(cbrt (sin y))
155.0ms
(cbrt (sin y))

simplify1.1s

Counts
85 → 85
Iterations
IterNodes
done5001
2753
1177
075

prune509.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes475.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done20
120
014

end0.0ms

sample4.5s

Algorithm
intervals
Results
1.8s1515×body1280valid
1.1s4303×body80valid
846.0ms1236×body640valid
224.0ms624×body320valid
77.0ms322×body160valid