Details

Time bar (total: 7.7s)

sample72.0ms

Algorithm
intervals
Results
26.0ms50×body1280valid
14.0ms43×body640valid
10.0ms128×body80valid
5.0ms23×body320valid
2.0ms12×body160valid

simplify3.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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))

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 (cos y)) (* z (sin y)))
33.0ms
(* z (sin y))
9.0ms
(* x (cos y))

series162.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(+ (* x (cos y)) (* z (sin y)))
47.0ms
(* z (sin y))
41.0ms
(* x (cos y))

simplify67.0ms

Counts
56 → 56

prune151.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

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:
11.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series844.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(* (cbrt z) (cbrt z))
203.0ms
(cbrt z)
200.0ms
(cbrt z)
208.0ms
(cbrt z)

simplify83.0ms

Counts
85 → 85

prune281.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.8b
(cbrt (* z (sin y)))
7.8b
(cbrt (* z (sin y)))
7.8b
(cbrt (* z (sin y)))

rewrite34.0ms

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:
19.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
4.0ms
(cbrt (* z (sin y)))
5.0ms
(cbrt (* z (sin y)))
5.0ms
(cbrt (* z (sin y)))

series573.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
131.0ms
(cbrt (* z (sin y)))
131.0ms
(cbrt (* z (sin y)))
141.0ms
(cbrt (* z (sin y)))

simplify83.0ms

Counts
70 → 70

prune248.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt (cbrt z))
1.0ms
(cbrt (cbrt z))
2.0ms
(cbrt (cbrt z))

series1.1s

Counts
4 → 12
Calls
4 calls:
219.0ms
(cbrt z)
290.0ms
(cbrt (cbrt z))
289.0ms
(cbrt (cbrt z))
280.0ms
(cbrt (cbrt z))

simplify46.0ms

Counts
65 → 65

prune298.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes191.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.3s1528×body1280valid
920.0ms1262×body640valid
471.0ms4226×body80valid
197.0ms648×body320valid
70.0ms336×body160valid