Details

Time bar (total: 23.3s)

sample115.0ms

Algorithm
intervals
Results
35.0ms40×body1280valid
26.0ms43×body640valid
19.0ms139×body80valid
9.0ms22×body320valid
4.0ms12×body160valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
done119

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite97.0ms

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:
22.0ms
(+ (* x (sin y)) (* z (cos y)))
57.0ms
(* x (sin y))
16.0ms
(* z (cos y))

series287.0ms

Counts
3 → 9
Calls
3 calls:
144.0ms
(+ (* x (sin y)) (* z (cos y)))
77.0ms
(* x (sin y))
66.0ms
(* z (cos y))

simplify3.5s

Counts
56 → 56
Iterations

Useful iterations: 2 (162.0ms)

IterNodesCost
082458
1196430
2634396
33406396
done5001396

prune453.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

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))

rewrite43.0ms

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:
30.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
3.0ms
(cbrt (cos y))
3.0ms
(cbrt (cos y))
3.0ms
(cbrt (cos y))

series946.0ms

Counts
4 → 12
Calls
4 calls:
330.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
202.0ms
(cbrt (cos y))
212.0ms
(cbrt (cos y))
203.0ms
(cbrt (cos y))

simplify2.0s

Counts
85 → 85
Iterations

Useful iterations: done (2.0s)

IterNodesCost
064686
1146615
2687521
done5001507

prune706.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

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

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
13×add-sqr-sqrt
12×prod-exp
11×add-cube-cbrt *-un-lft-identity
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 unpow-prod-down pow-unpow
2×pow-prod-down *-commutative
1×pow-pow unpow1/3 pow1/3 unpow2 unswap-sqr sqr-pow
Counts
4 → 72
Calls
4 calls:
27.0ms
(* x (sin y))
80.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
7.0ms
(pow (cos y) 2)
3.0ms
(cbrt (cos y))

series394.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* x (sin y))
70.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
32.0ms
(pow (cos y) 2)
211.0ms
(cbrt (cos y))

simplify1.6s

Counts
84 → 84
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0125759
1334667
21528584
done5000566

prune664.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×cbrt-prod add-cube-cbrt *-un-lft-identity
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:
18.0ms
(* x (sin y))
6.0ms
(pow (cos y) 2)
4.0ms
(cbrt (pow (cos y) 2))
2.0ms
(cbrt (cos y))

series542.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* x (sin y))
27.0ms
(pow (cos y) 2)
282.0ms
(cbrt (pow (cos y) 2))
174.0ms
(cbrt (cos y))

simplify5.3s

Counts
75 → 75
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
0104535
1239488
2825420
34117409
done5000409

prune626.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes484.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
11817
done1817

end0.0ms

sample5.2s

Algorithm
intervals
Results
1.8s1547×body1280valid
1.4s4293×body80valid
893.0ms1231×body640valid
320.0ms595×body320valid
223.0ms334×body160valid