Details

Time bar (total: 49.9s)

sample308.0ms

Algorithm
halfpoints

simplify10.4s

Counts
1 → 1
Iterations
IterNodes
done5024
94960
82689
71236
6450
5182
4112
379
248
130
016

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize114.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (exp x) (cos y))
0.0b
(/ (cos y) (exp x))
0.0b
(+ (/ (cos y) (exp x)) (* (exp x) (cos y)))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
9×times-frac
7×add-cbrt-cube
5×pow1 add-exp-log add-log-exp
3×associate-/r* associate-*r* associate-*l* insert-posit16 associate-/l*
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-+ div-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ div-inv unswap-sqr
Counts
3 → 59
Calls
3 calls:
65.0ms
(* (exp x) (cos y))
32.0ms
(/ (cos y) (exp x))
67.0ms
(+ (/ (cos y) (exp x)) (* (exp x) (cos y)))

series429.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(* (exp x) (cos y))
78.0ms
(/ (cos y) (exp x))
243.0ms
(+ (/ (cos y) (exp x)) (* (exp x) (cos y)))

simplify5.6s

Counts
68 → 68
Iterations
IterNodes
done5130
32961
2838
1238
099

prune839.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize163.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (exp x) (cos y))
0.0b
(/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x)))
0.0b
(+ (/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x))) (* (exp x) (cos y)))
0.0b
(/ (cos y) (sqrt (exp x)))

rewrite414.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
160×add-sqr-sqrt
158×*-un-lft-identity add-cube-cbrt
144×sqrt-prod
25×associate-/l*
13×add-cbrt-cube
12×associate-/r* add-exp-log
9×div-inv
6×pow1 add-log-exp
4×cbrt-undiv div-exp insert-posit16
3×associate-*r* associate-*l*
2×clear-num frac-2neg
1×+-commutative sum-log flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr associate-/l/
Counts
4 → 247
Calls
4 calls:
41.0ms
(* (exp x) (cos y))
64.0ms
(/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x)))
214.0ms
(+ (/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x))) (* (exp x) (cos y)))
48.0ms
(/ (cos y) (sqrt (exp x)))

series410.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (exp x) (cos y))
82.0ms
(/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x)))
148.0ms
(+ (/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x))) (* (exp x) (cos y)))
113.0ms
(/ (cos y) (sqrt (exp x)))

simplify4.3s

Counts
259 → 259
Iterations
IterNodes
done5000
21708
1710
0302

prune2.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize290.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (cos y) (exp x)) (* (cos y) (exp x)))
0.3b
(* (* (cos y) (exp x)) (* (cos y) (exp x)))
0.3b
(* (/ (cos y) (exp x)) (/ (cos y) (exp x)))
16.9b
(- (/ (cos y) (exp x)) (* (cos y) (exp x)))

rewrite568.0ms

Algorithm
rewrite-expression-head
Rules
89×pow1
44×add-sqr-sqrt
40×times-frac add-cbrt-cube
35×pow-prod-down
32×*-un-lft-identity add-cube-cbrt
28×add-exp-log
20×prod-exp cbrt-unprod
15×swap-sqr associate-*r* associate-*l*
9×pow-sqr pow-prod-up
6×add-log-exp
5×pow-plus div-inv
4×cbrt-undiv div-exp insert-posit16 unswap-sqr
3×pow2 *-commutative
1×frac-times sub-neg flip3-- diff-log associate-*l/ associate-*r/ flip-- distribute-lft-out--
Counts
4 → 152
Calls
4 calls:
193.0ms
(* (* (cos y) (exp x)) (* (cos y) (exp x)))
188.0ms
(* (* (cos y) (exp x)) (* (cos y) (exp x)))
83.0ms
(* (/ (cos y) (exp x)) (/ (cos y) (exp x)))
80.0ms
(- (/ (cos y) (exp x)) (* (cos y) (exp x)))

series537.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* (* (cos y) (exp x)) (* (cos y) (exp x)))
116.0ms
(* (* (cos y) (exp x)) (* (cos y) (exp x)))
134.0ms
(* (/ (cos y) (exp x)) (/ (cos y) (exp x)))
175.0ms
(- (/ (cos y) (exp x)) (* (cos y) (exp x)))

simplify5.1s

Counts
164 → 164
Iterations
IterNodes
done5000
21953
1571
0173

prune2.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize148.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (cos y) (exp x)) (cbrt (* (* (* (exp x) (cos y)) (* (exp x) (cos y))) (* (exp x) (cos y)))))
0.2b
(* (* (* (exp x) (cos y)) (* (exp x) (cos y))) (* (exp x) (cos y)))
0.3b
(* (* (exp x) (cos y)) (* (exp x) (cos y)))
0.4b
(cbrt (* (* (* (exp x) (cos y)) (* (exp x) (cos y))) (* (exp x) (cos y))))

rewrite1.8s

Algorithm
rewrite-expression-head
Rules
198×pow1
86×pow-prod-down
57×add-cbrt-cube
40×add-exp-log
39×prod-exp cbrt-unprod
38×pow-prod-up
19×pow-plus
16×pow-sqr
6×*-un-lft-identity add-log-exp
4×pow2 add-sqr-sqrt add-cube-cbrt insert-posit16
2×associate-*r* associate-*l* pow3 *-commutative
1×cbrt-prod +-commutative sum-log flip3-+ pow1/3 swap-sqr rem-cbrt-cube flip-+ distribute-lft-out
Counts
4 → 134
Calls
4 calls:
177.0ms
(+ (/ (cos y) (exp x)) (cbrt (* (* (* (exp x) (cos y)) (* (exp x) (cos y))) (* (exp x) (cos y)))))
754.0ms
(* (* (* (exp x) (cos y)) (* (exp x) (cos y))) (* (exp x) (cos y)))
230.0ms
(* (* (exp x) (cos y)) (* (exp x) (cos y)))
650.0ms
(cbrt (* (* (* (exp x) (cos y)) (* (exp x) (cos y))) (* (exp x) (cos y))))

series557.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(+ (/ (cos y) (exp x)) (cbrt (* (* (* (exp x) (cos y)) (* (exp x) (cos y))) (* (exp x) (cos y)))))
181.0ms
(* (* (* (exp x) (cos y)) (* (exp x) (cos y))) (* (exp x) (cos y)))
107.0ms
(* (* (exp x) (cos y)) (* (exp x) (cos y)))
76.0ms
(cbrt (* (* (* (exp x) (cos y)) (* (exp x) (cos y))) (* (exp x) (cos y))))

simplify4.3s

Counts
146 → 146
Iterations
IterNodes
done5000
21338
1338
0121

prune898.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes251.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done13
113
011

end0.0ms

sample8.1s

Algorithm
halfpoints