Details

Time bar (total: 14.3s)

sample95.0ms

Algorithm
intervals
Results
29.0ms40×body1280valid
19.0ms40×body640valid
15.0ms147×body80valid
9.0ms22×body320valid
2.0ms7×body160valid

simplify23.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

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:
11.0ms
(+ (* x (sin y)) (* z (cos y)))
9.0ms
(* z (cos y))
10.0ms
(* x (sin y))

series212.0ms

Counts
3 → 9
Calls
3 calls:
107.0ms
(+ (* x (sin y)) (* z (cos y)))
49.0ms
(* z (cos y))
56.0ms
(* x (sin y))

simplify1.2s

Counts
56 → 56

prune250.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

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:
14.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
336.0ms
(* (cbrt x) (cbrt x))
304.0ms
(cbrt x)
276.0ms
(cbrt x)
305.0ms
(cbrt x)

simplify942.0ms

Counts
85 → 85

prune385.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
9.3b
(cbrt (* x (sin y)))
9.3b
(cbrt (* x (sin y)))
9.3b
(cbrt (* x (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:
20.0ms
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
5.0ms
(cbrt (* x (sin y)))
5.0ms
(cbrt (* x (sin y)))
9.0ms
(cbrt (* x (sin y)))

series707.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
164.0ms
(cbrt (* x (sin y)))
178.0ms
(cbrt (* x (sin y)))
169.0ms
(cbrt (* x (sin y)))

simplify1.5s

Counts
70 → 70

prune361.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.7b
(cbrt (sin y))
9.3b
(cbrt (* x (sin y)))
9.3b
(cbrt (* x (sin y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 40
Calls
4 calls:
2.0ms
(cbrt x)
3.0ms
(cbrt (sin y))
9.0ms
(cbrt (* x (sin y)))
9.0ms
(cbrt (* x (sin y)))

series791.0ms

Counts
4 → 12
Calls
4 calls:
280.0ms
(cbrt x)
129.0ms
(cbrt (sin y))
201.0ms
(cbrt (* x (sin y)))
181.0ms
(cbrt (* x (sin y)))

simplify1.8s

Counts
52 → 52

prune304.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes215.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify56.0ms

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.8s1489×body1280valid
795.0ms1244×body640valid
599.0ms4290×body80valid
213.0ms641×body320valid
132.0ms336×body160valid