Details

Time bar (total: 12.9s)

sample56.0ms

Algorithm
intervals
Results
16.0ms31×body1280valid
12.0ms175×body80valid
9.0ms26×body640valid
3.0ms17×body320valid
1.0ms7×body160valid

simplify206.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
7×add-log-exp
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×diff-log
1×sub-neg flip3-- pow-prod-down prod-exp associate--l+ sum-log *-commutative flip-- cbrt-unprod unswap-sqr
Counts
2 → 32
Calls
2 calls:
81.0ms
(- (+ x (cos y)) (* z (sin y)))
14.0ms
(* z (sin y))

series144.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(- (+ x (cos y)) (* z (sin y)))
67.0ms
(* z (sin y))

simplify1.1s

Counts
38 → 38

prune114.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.5b
(cbrt (sin y))
0.5b
(cbrt (sin y))
0.5b
(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:
18.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
3.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series610.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
142.0ms
(cbrt (sin y))
135.0ms
(cbrt (sin y))
145.0ms
(cbrt (sin y))

simplify946.0ms

Counts
85 → 85

prune336.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.7b
(cbrt (* z (sin y)))
8.7b
(cbrt (* z (sin y)))
8.7b
(cbrt (* z (sin y)))

rewrite55.0ms

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:
23.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.0ms
(cbrt (* z (sin y)))
14.0ms
(cbrt (* z (sin y)))
8.0ms
(cbrt (* z (sin y)))

series813.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
197.0ms
(cbrt (* z (sin y)))
203.0ms
(cbrt (* z (sin y)))
192.0ms
(cbrt (* z (sin y)))

simplify1.3s

Counts
70 → 70

prune352.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (sin y))
0.6b
(cbrt z)
8.7b
(cbrt (* z (sin y)))
8.7b
(cbrt (* z (sin y)))

rewrite13.0ms

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 (sin y))
1.0ms
(cbrt z)
5.0ms
(cbrt (* z (sin y)))
5.0ms
(cbrt (* z (sin y)))

series820.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt (sin y))
283.0ms
(cbrt z)
162.0ms
(cbrt (* z (sin y)))
196.0ms
(cbrt (* z (sin y)))

simplify1.8s

Counts
52 → 52

prune372.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes160.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify204.0ms

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.3s959×body1280valid
723.0ms5638×body80valid
612.0ms834×body640valid
171.0ms372×body320valid
47.0ms196×body160valid
1.0ms1×body2560valid