Details

Time bar (total: 13.4s)

sample76.0ms

Algorithm
intervals
Results
29.0ms45×body1280valid
14.0ms45×body640valid
10.0ms123×body80valid
7.0ms30×body320valid
2.0ms13×body160valid

simplify17.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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))

rewrite83.0ms

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×sub-neg flip3-- diff-log flip--
Counts
3 → 48
Calls
3 calls:
44.0ms
(- (* x (cos y)) (* z (sin y)))
18.0ms
(* x (cos y))
19.0ms
(* z (sin y))

series211.0ms

Counts
3 → 9
Calls
3 calls:
113.0ms
(- (* x (cos y)) (* z (sin y)))
51.0ms
(* x (cos y))
47.0ms
(* z (sin y))

simplify1.0s

Counts
57 → 57

prune245.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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))

rewrite22.0ms

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:
15.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series612.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
131.0ms
(cbrt (sin y))
170.0ms
(cbrt (sin y))
148.0ms
(cbrt (sin y))

simplify1.3s

Counts
85 → 85

prune436.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.4b
(cbrt (* z (sin y)))
6.4b
(cbrt (* z (sin y)))
6.4b
(cbrt (* z (sin y)))

rewrite47.0ms

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:
31.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
4.0ms
(cbrt (* z (sin y)))
4.0ms
(cbrt (* z (sin y)))
4.0ms
(cbrt (* z (sin y)))

series722.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
162.0ms
(cbrt (* z (sin y)))
162.0ms
(cbrt (* z (sin y)))
170.0ms
(cbrt (* z (sin y)))

simplify1.9s

Counts
70 → 70

prune460.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin y))
0.6b
(cbrt z)
6.4b
(cbrt (* z (sin y)))
6.4b
(cbrt (* z (sin y)))

rewrite36.0ms

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:
3.0ms
(cbrt (sin y))
2.0ms
(cbrt z)
10.0ms
(cbrt (* z (sin y)))
21.0ms
(cbrt (* z (sin y)))

series834.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(cbrt (sin y))
339.0ms
(cbrt z)
180.0ms
(cbrt (* z (sin y)))
188.0ms
(cbrt (* z (sin y)))

simplify652.0ms

Counts
52 → 52

prune327.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes254.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify136.0ms

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.4s1519×body1280valid
912.0ms4369×body80valid
885.0ms1197×body640valid
262.0ms600×body320valid
76.0ms315×body160valid