Details

Time bar (total: 15.7s)

sample96.0ms

Algorithm
intervals
Results
38.0ms51×body1280valid
16.0ms149×body80valid
16.0ms35×body640valid
6.0ms18×body320valid
0.0ms3×body160valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done11
111
08

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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))

rewrite62.0ms

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:
15.0ms
(+ (* x (cos y)) (* z (sin y)))
16.0ms
(* x (cos y))
29.0ms
(* z (sin y))

series219.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(+ (* x (cos y)) (* z (sin y)))
62.0ms
(* x (cos y))
75.0ms
(* z (sin y))

simplify1.7s

Counts
56 → 56
Iterations
IterNodes
done5001
33228
2684
1192
080

prune275.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (cos y)) (* (cbrt (cos y)) x))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt pow1 *-un-lft-identity add-exp-log add-cube-cbrt
6×add-cbrt-cube associate-*l*
4×add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 54
Calls
4 calls:
24.0ms
(* (cbrt (cos y)) (* (cbrt (cos y)) x))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))

series633.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(* (cbrt (cos y)) (* (cbrt (cos y)) x))
163.0ms
(cbrt (cos y))
142.0ms
(cbrt (cos y))
149.0ms
(cbrt (cos y))

simplify2.7s

Counts
66 → 66
Iterations
IterNodes
done5001
33762
2583
1140
058

prune473.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (sin y))
0.2b
(pow (cos y) 2)
0.3b
(cbrt (pow (cos y) 2))
0.3b
(cbrt (cos y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×cbrt-prod *-un-lft-identity add-cube-cbrt
7×pow1 add-exp-log
6×unpow-prod-down add-cbrt-cube
4×add-log-exp
3×pow-unpow associate-*r* associate-*l*
2×pow1/3 unpow2 sqr-pow
1×pow-to-exp pow-pow pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 63
Calls
4 calls:
7.0ms
(* z (sin y))
4.0ms
(pow (cos y) 2)
4.0ms
(cbrt (pow (cos y) 2))
2.0ms
(cbrt (cos y))

series752.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* z (sin y))
19.0ms
(pow (cos y) 2)
555.0ms
(cbrt (pow (cos y) 2))
135.0ms
(cbrt (cos y))

simplify2.1s

Counts
75 → 75
Iterations
IterNodes
done5001
33457
2827
1239
0104

prune500.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.1b
(* z (sin y))
0.2b
(pow (cos y) 2)
0.3b
(cbrt (cos y))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
13×add-sqr-sqrt
12×prod-exp
11×*-un-lft-identity add-cube-cbrt
10×add-cbrt-cube
9×pow1 associate-*r*
6×cbrt-prod cbrt-unprod
5×pow-exp
4×associate-*l* add-log-exp
3×pow-to-exp pow-unpow unpow-prod-down
2×pow-prod-down *-commutative
1×pow-pow unpow1/3 pow1/3 unpow2 unswap-sqr sqr-pow
Counts
4 → 72
Calls
4 calls:
35.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
14.0ms
(* z (sin y))
5.0ms
(pow (cos y) 2)
2.0ms
(cbrt (cos y))

series315.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
48.0ms
(* z (sin y))
34.0ms
(pow (cos y) 2)
178.0ms
(cbrt (cos y))

simplify920.0ms

Counts
84 → 84
Iterations
IterNodes
done5001
21554
1334
0125

prune434.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes298.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done18
118
014

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.3s1510×body1280valid
848.0ms1206×body640valid
812.0ms4340×body80valid
667.0ms643×body320valid
83.0ms301×body160valid