Details

Time bar (total: 7.2s)

sample82.0ms

Algorithm
intervals
Results
26.0ms35×body1280valid
18.0ms180×body80valid
13.0ms25×body640valid
2.0ms7×body320valid
2.0ms9×body160valid

simplify13.0ms

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

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt *-un-lft-identity
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*r* associate-*l*
2×diff-log sum-log
1×+-commutative sub-neg flip3-- flip3-+ pow-prod-down prod-exp associate--l+ *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
3 → 44
Calls
3 calls:
57.0ms
(- (+ x (cos y)) (* z (sin y)))
7.0ms
(+ x (cos y))
32.0ms
(* z (sin y))

series192.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(- (+ x (cos y)) (* z (sin y)))
41.0ms
(+ x (cos y))
71.0ms
(* z (sin y))

simplify57.0ms

Counts
53 → 53

prune198.0ms

Pruning

6 alts after pruning (5 fresh and 1 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))))
6.7b
(cbrt (* z (sin y)))
6.7b
(cbrt (* z (sin y)))
6.7b
(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:
33.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.0ms
(cbrt (* z (sin y)))
7.0ms
(cbrt (* z (sin y)))
7.0ms
(cbrt (* z (sin y)))

series728.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
185.0ms
(cbrt (* z (sin y)))
154.0ms
(cbrt (* z (sin y)))
182.0ms
(cbrt (* z (sin y)))

simplify52.0ms

Counts
70 → 70

prune658.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (sin y))
0.6b
(cbrt z)
6.7b
(cbrt (* z (sin y)))
6.7b
(cbrt (* z (sin y)))

rewrite21.0ms

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))
1.0ms
(cbrt z)
9.0ms
(cbrt (* z (sin y)))
7.0ms
(cbrt (* z (sin y)))

series721.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(cbrt (sin y))
263.0ms
(cbrt z)
183.0ms
(cbrt (* z (sin y)))
158.0ms
(cbrt (* z (sin y)))

simplify82.0ms

Counts
52 → 52

prune301.0ms

Pruning

7 alts after pruning (5 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)))
0.5b
(cbrt (sin y))
0.5b
(cbrt (sin y))
0.5b
(cbrt (sin y))

rewrite33.0ms

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:
23.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series578.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
116.0ms
(cbrt (sin y))
140.0ms
(cbrt (sin y))
153.0ms
(cbrt (sin y))

simplify69.0ms

Counts
85 → 85

prune322.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes173.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify13.0ms

end0.0ms

sample2.6s

Algorithm
intervals
Results
793.0ms919×body1280valid
561.0ms5648×body80valid
402.0ms834×body640valid
369.0ms189×body160valid
110.0ms410×body320valid