Details

Time bar (total: 8.3s)

sample64.0ms

Algorithm
intervals
Results
23.0ms49×body1280valid
11.0ms35×body640valid
10.0ms144×body80valid
3.0ms15×body320valid
2.0ms13×body160valid

simplify1.0ms

Counts
1 → 1

prune2.0ms

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

rewrite52.0ms

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:
32.0ms
(+ (* x (cos y)) (* z (sin y)))
10.0ms
(* z (sin y))
9.0ms
(* x (cos y))

series190.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(+ (* x (cos y)) (* z (sin y)))
45.0ms
(* z (sin y))
44.0ms
(* x (cos y))

simplify133.0ms

Counts
56 → 56

prune184.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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))

rewrite21.0ms

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:
15.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (cos y))

series556.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
116.0ms
(cbrt (cos y))
105.0ms
(cbrt (cos y))
121.0ms
(cbrt (cos y))

simplify59.0ms

Counts
85 → 85

prune431.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

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:
46.0ms
(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
4.0ms
(pow (cos y) 2)
5.0ms
(cbrt (pow (cos y) 2))
3.0ms
(cbrt (cos y))

series441.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
18.0ms
(pow (cos y) 2)
222.0ms
(cbrt (pow (cos y) 2))
143.0ms
(cbrt (cos y))

simplify193.0ms

Counts
78 → 78

prune330.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (cos y) 2)
0.3b
(cbrt (pow (cos y) 2))
0.3b
(cbrt (pow (cos y) 2))
0.3b
(cbrt (cos y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×add-cbrt-cube add-log-exp
3×pow-unpow pow1/3 unpow2 sqr-pow
1×pow-to-exp pow-pow pow-exp
Counts
4 → 61
Calls
4 calls:
3.0ms
(pow (cos y) 2)
2.0ms
(cbrt (pow (cos y) 2))
2.0ms
(cbrt (pow (cos y) 2))
1.0ms
(cbrt (cos y))

series708.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(pow (cos y) 2)
252.0ms
(cbrt (pow (cos y) 2))
279.0ms
(cbrt (pow (cos y) 2))
146.0ms
(cbrt (cos y))

simplify53.0ms

Counts
73 → 73

prune432.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes244.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify144.0ms

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.2s1438×body1280valid
1.2s1297×body640valid
722.0ms4334×body80valid
253.0ms630×body320valid
69.0ms301×body160valid