Details

Time bar (total: 18.6s)

sample169.0ms

Algorithm
halfpoints

simplify3.3s

Counts
1 → 1
Iterations
IterNodes
151608
141608
131589
121509
111367
101264
91078
8824
7545
6376
5263
4194
3132
288
158
016

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.0b
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
18.0b
(- (exp x) (exp (- x)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
36×*-un-lft-identity
35×associate-*l*
29×times-frac
22×add-cube-cbrt
13×add-cbrt-cube add-exp-log
7×pow1
6×associate-*r*
5×add-log-exp
4×prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
3×insert-posit16 distribute-lft-out
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
1×sub-neg flip3-- diff-log flip--
Counts
3 → 90
Calls
3 calls:
46.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
61.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
18.0ms
(- (exp x) (exp (- x)))

series313.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
138.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
74.0ms
(- (exp x) (exp (- x)))

simplify1.7s

Counts
99 → 99
Iterations
IterNodes
35270
21917
1824
0187

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

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*
2×div-inv
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-+ div-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
3 → 60
Calls
3 calls:
11.0ms
(* (cos y) (exp x))
9.0ms
(/ (cos y) (exp x))
31.0ms
(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))

series167.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(* (cos y) (exp x))
32.0ms
(/ (cos y) (exp x))
104.0ms
(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))

simplify755.0ms

Counts
69 → 69
Iterations
IterNodes
32235
2943
1415
0101

prune798.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ 1 (sqrt (exp x))) (/ (cos y) (sqrt (exp x)))) (* (cos y) (exp x)))
0.0b
(/ 1 (sqrt (exp x)))
0.0b
(/ (cos y) (sqrt (exp x)))
0.0b
(* (/ 1 (sqrt (exp x))) (/ (cos y) (sqrt (exp x))))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
107×add-sqr-sqrt
94×times-frac
67×*-un-lft-identity
61×add-cube-cbrt
53×sqrt-prod
32×add-exp-log
22×associate-*r* associate-*l*
20×add-cbrt-cube
15×unswap-sqr
12×associate-/r*
11×div-exp
8×pow1 prod-exp
6×cbrt-undiv pow-flip associate-/l* add-log-exp
4×sqrt-pow1 cbrt-unprod insert-posit16 div-inv
3×rec-exp exp-prod 1-exp
2×clear-num frac-2neg
1×frac-times +-commutative sum-log flip3-+ pow1/2 pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+ inv-pow
Counts
4 → 185
Calls
4 calls:
43.0ms
(+ (* (/ 1 (sqrt (exp x))) (/ (cos y) (sqrt (exp x)))) (* (cos y) (exp x)))
7.0ms
(/ 1 (sqrt (exp x)))
14.0ms
(/ (cos y) (sqrt (exp x)))
54.0ms
(* (/ 1 (sqrt (exp x))) (/ (cos y) (sqrt (exp x))))

series275.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(+ (* (/ 1 (sqrt (exp x))) (/ (cos y) (sqrt (exp x)))) (* (cos y) (exp x)))
32.0ms
(/ 1 (sqrt (exp x)))
76.0ms
(/ (cos y) (sqrt (exp x)))
47.0ms
(* (/ 1 (sqrt (exp x))) (/ (cos y) (sqrt (exp x))))

simplify764.0ms

Counts
197 → 197
Iterations
IterNodes
22150
11004
0227

prune2.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
212
112
09

end0.0ms

sample6.2s

Algorithm
halfpoints