Details

Time bar (total: 1.1m)

sample120.0ms

Algorithm
intervals
Results
36.0ms41×body1280valid
32.0ms57×body640valid
17.0ms131×body80valid
7.0ms18×body320valid
2.0ms9×body160valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done11
111
08

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 47
Calls
3 calls:
24.0ms
(+ (* x (sin y)) (* z (cos y)))
78.0ms
(* z (cos y))
34.0ms
(* x (sin y))

series406.0ms

Counts
3 → 9
Calls
3 calls:
156.0ms
(+ (* x (sin y)) (* z (cos y)))
165.0ms
(* z (cos y))
86.0ms
(* x (sin y))

simplify5.5s

Counts
56 → 56
Iterations
IterNodes
done5001
31573
2512
1193
082

prune674.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos y)) (cbrt (cos y)))
0.4b
(cbrt (cos y))
0.4b
(cbrt (cos y))
0.4b
(cbrt (cos y))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
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:
31.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
3.0ms
(cbrt (cos y))
3.0ms
(cbrt (cos y))
3.0ms
(cbrt (cos y))

series1.7s

Counts
4 → 12
Calls
4 calls:
808.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
382.0ms
(cbrt (cos y))
222.0ms
(cbrt (cos y))
263.0ms
(cbrt (cos y))

simplify18.7s

Counts
85 → 85
Iterations
IterNodes
done5028
44896
31141
2366
1144
064

prune771.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (sin y))
0.2b
(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
0.3b
(* (cos y) (cos y))
0.4b
(cbrt (cos y))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
17×add-sqr-sqrt
15×pow1
13×add-cube-cbrt *-un-lft-identity
12×associate-*r* prod-exp add-cbrt-cube
7×associate-*l* cbrt-unprod
6×cbrt-prod
4×add-log-exp
3×swap-sqr pow-prod-down *-commutative
2×pow-exp unswap-sqr
1×pow2 pow-to-exp sqr-cos pow-plus unpow1/3 pow1/3 pow-sqr cos-mult pow-prod-up
Counts
4 → 80
Calls
4 calls:
18.0ms
(* x (sin y))
84.0ms
(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
31.0ms
(* (cos y) (cos y))
3.0ms
(cbrt (cos y))

series792.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(* x (sin y))
198.0ms
(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
53.0ms
(* (cos y) (cos y))
375.0ms
(cbrt (cos y))

simplify8.6s

Counts
92 → 92
Iterations
IterNodes
done5001
33415
21049
1346
0134

prune1.6s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize105.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cbrt (cos y)))
0.4b
(cbrt (cos y))
0.4b
(cbrt (cos y))
0.4b
(cbrt (cos y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 47
Calls
4 calls:
3.0ms
(cbrt (cbrt (cos y)))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))

series1.0s

Counts
4 → 12
Calls
4 calls:
255.0ms
(cbrt (cbrt (cos y)))
337.0ms
(cbrt (cos y))
205.0ms
(cbrt (cos y))
231.0ms
(cbrt (cos y))

simplify8.8s

Counts
59 → 59
Iterations
IterNodes
done5001
54163
41222
3413
2158
180
046

prune1.5s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes1.0s

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done17
117
013

end0.0ms

sample12.6s

Algorithm
intervals
Results
4.1s1496×body1280valid
4.0s1263×body640valid
3.4s4329×body80valid
381.0ms604×body320valid
114.0ms308×body160valid