Details

Time bar (total: 15.9s)

sample95.0ms

Algorithm
intervals
Results
35.0ms49×body1280valid
19.0ms40×body640valid
14.0ms145×body80valid
6.0ms17×body320valid
1.0ms5×body160valid

simplify15.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

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))

rewrite38.0ms

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:
14.0ms
(+ (* x (cos y)) (* z (sin y)))
9.0ms
(* x (cos y))
12.0ms
(* z (sin y))

series236.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(+ (* x (cos y)) (* z (sin y)))
48.0ms
(* x (cos y))
80.0ms
(* z (sin y))

simplify1.3s

Counts
56 → 56

prune186.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite26.0ms

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:
12.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
9.0ms
(cbrt z)
2.0ms
(cbrt z)

series1.2s

Counts
4 → 12
Calls
4 calls:
345.0ms
(* (cbrt z) (cbrt z))
312.0ms
(cbrt z)
241.0ms
(cbrt z)
297.0ms
(cbrt z)

simplify1.0s

Counts
85 → 85

prune361.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
9.0b
(cbrt (* z (sin y)))
9.0b
(cbrt (* z (sin y)))
9.0b
(cbrt (* z (sin y)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
21.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
5.0ms
(cbrt (* z (sin y)))
5.0ms
(cbrt (* z (sin y)))
9.0ms
(cbrt (* z (sin y)))

series769.0ms

Counts
4 → 12
Calls
4 calls:
239.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
169.0ms
(cbrt (* z (sin y)))
192.0ms
(cbrt (* z (sin y)))
169.0ms
(cbrt (* z (sin y)))

simplify1.4s

Counts
70 → 70

prune387.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite52.0ms

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:
39.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
3.0ms
(cbrt (sin y))
3.0ms
(cbrt (sin y))
3.0ms
(cbrt (sin y))

series588.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
150.0ms
(cbrt (sin y))
149.0ms
(cbrt (sin y))
147.0ms
(cbrt (sin y))

simplify1.0s

Counts
85 → 85

prune379.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes185.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.3s

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.4s1554×body1280valid
749.0ms607×body320valid
727.0ms1242×body640valid
499.0ms4296×body80valid
127.0ms301×body160valid