Details

Time bar (total: 15.8s)

sample90.0ms

Algorithm
intervals
Results
29.0ms45×body1280valid
20.0ms45×body640valid
11.0ms123×body80valid
10.0ms30×body320valid
2.0ms13×body160valid

simplify23.0ms

Counts
1 → 1

prune34.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (cos y)) (* z (sin y)))
0.1b
(* x (cos y))
0.2b
(* z (sin y))

rewrite46.0ms

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:
13.0ms
(+ (* x (cos y)) (* z (sin y)))
18.0ms
(* x (cos y))
14.0ms
(* z (sin y))

series558.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(+ (* x (cos y)) (* z (sin y)))
43.0ms
(* x (cos y))
422.0ms
(* z (sin y))

simplify1.2s

Counts
56 → 56

prune196.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite30.0ms

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:
21.0ms
(* (cbrt z) (cbrt z))
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)

series1.2s

Counts
4 → 12
Calls
4 calls:
333.0ms
(* (cbrt z) (cbrt z))
288.0ms
(cbrt z)
332.0ms
(cbrt z)
269.0ms
(cbrt z)

simplify982.0ms

Counts
85 → 85

prune394.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt (* (cbrt z) (cbrt z)))
0.7b
(cbrt (cbrt z))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
6.0ms
(cbrt (* (cbrt z) (cbrt z)))
2.0ms
(cbrt (cbrt z))

series1.5s

Counts
4 → 12
Calls
4 calls:
264.0ms
(cbrt z)
352.0ms
(cbrt z)
525.0ms
(cbrt (* (cbrt z) (cbrt z)))
406.0ms
(cbrt (cbrt z))

simplify1.2s

Counts
57 → 57

prune445.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

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))

rewrite49.0ms

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))

series644.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
140.0ms
(cbrt (sin y))
171.0ms
(cbrt (sin y))
138.0ms
(cbrt (sin y))

simplify1.3s

Counts
85 → 85

prune329.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes230.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.2s

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.3s1519×body1280valid
1.2s1197×body640valid
553.0ms4369×body80valid
294.0ms600×body320valid
125.0ms315×body160valid