Details

Time bar (total: 14.5s)

sample90.0ms

Algorithm
intervals
Results
34.0ms49×body1280valid
19.0ms43×body640valid
13.0ms143×body80valid
4.0ms13×body320valid
2.0ms8×body160valid

simplify14.0ms

Counts
1 → 1

prune3.0ms

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

rewrite53.0ms

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)))
9.0ms
(* x (cos y))
29.0ms
(* z (sin y))

series208.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(+ (* x (cos y)) (* z (sin y)))
54.0ms
(* x (cos y))
55.0ms
(* z (sin y))

simplify2.9s

Counts
56 → 56

prune196.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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)

rewrite40.0ms

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:
30.0ms
(* (cbrt z) (cbrt z))
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)

series1.1s

Counts
4 → 12
Calls
4 calls:
280.0ms
(* (cbrt z) (cbrt z))
315.0ms
(cbrt z)
273.0ms
(cbrt z)
274.0ms
(cbrt z)

simplify926.0ms

Counts
85 → 85

prune338.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite27.0ms

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 (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series620.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
133.0ms
(cbrt (sin y))
150.0ms
(cbrt (sin y))
150.0ms
(cbrt (sin y))

simplify1.0s

Counts
85 → 85

prune353.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 42
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
5.0ms
(cbrt (* (cbrt z) (cbrt z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
303.0ms
(cbrt z)
285.0ms
(cbrt z)
248.0ms
(cbrt z)
403.0ms
(cbrt (* (cbrt z) (cbrt z)))

simplify612.0ms

Counts
54 → 54

prune268.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes205.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify187.0ms

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.3s1524×body1280valid
896.0ms4285×body80valid
814.0ms1272×body640valid
402.0ms608×body320valid
67.0ms311×body160valid