Details

Time bar (total: 15.3s)

sample96.0ms

Algorithm
intervals
Results
37.0ms49×body1280valid
19.0ms40×body640valid
15.0ms145×body80valid
6.0ms17×body320valid
1.0ms5×body160valid

simplify14.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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))

rewrite55.0ms

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:
12.0ms
(+ (* x (sin y)) (* z (cos y)))
32.0ms
(* x (sin y))
9.0ms
(* z (cos y))

series247.0ms

Counts
3 → 9
Calls
3 calls:
127.0ms
(+ (* x (sin y)) (* z (cos y)))
75.0ms
(* x (sin y))
46.0ms
(* z (cos y))

simplify1.2s

Counts
56 → 56

prune199.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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:
25.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))

series632.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
135.0ms
(cbrt (cos y))
140.0ms
(cbrt (cos y))
129.0ms
(cbrt (cos y))

simplify884.0ms

Counts
85 → 85

prune461.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
6×unpow-prod-down associate-*r* add-cbrt-cube
4×add-log-exp
3×pow-unpow pow-prod-down prod-exp cbrt-unprod
2×pow1/3 unpow2 sqr-pow
1×pow-to-exp pow-pow associate-*l* pow-exp *-commutative
Counts
4 → 66
Calls
4 calls:
59.0ms
(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
2.0ms
(cbrt (pow (cos y) 2))
3.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series449.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
236.0ms
(cbrt (pow (cos y) 2))
22.0ms
(pow (cos y) 2)
137.0ms
(cbrt (cos y))

simplify2.8s

Counts
78 → 78

prune397.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (cbrt (cos y)) 2)
0.3b
(cbrt (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp unpow2 sqr-pow
Counts
4 → 58
Calls
4 calls:
4.0ms
(pow (cbrt (cos y)) 2)
2.0ms
(cbrt (cbrt (cos y)))
9.0ms
(cbrt (cos y))
3.0ms
(cbrt (cos y))

series724.0ms

Counts
4 → 12
Calls
4 calls:
259.0ms
(pow (cbrt (cos y)) 2)
172.0ms
(cbrt (cbrt (cos y)))
159.0ms
(cbrt (cos y))
135.0ms
(cbrt (cos y))

simplify857.0ms

Counts
70 → 70

prune430.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes194.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.4s

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.3s1553×body1280valid
979.0ms4294×body80valid
746.0ms1242×body640valid
250.0ms611×body320valid
243.0ms300×body160valid