Details

Time bar (total: 1.0m)

sample420.0ms

Algorithm
halfpoints

simplify10.9s

Counts
1 → 1
Iterations
IterNodes
92619
81786
71075
6423
5176
4112
378
246
130
016

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.6b

localize113.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.1b
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
58.4b
(- (exp x) (exp (- x)))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×*-un-lft-identity
35×associate-*l*
29×times-frac
23×add-cube-cbrt
14×add-cbrt-cube add-exp-log
8×pow1 add-log-exp
6×associate-*r*
4×prod-exp cbrt-unprod insert-posit16 distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative sum-log sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
4 → 103
Calls
4 calls:
11.0ms
(+ (exp x) (exp (- x)))
44.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
66.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
12.0ms
(- (exp x) (exp (- x)))

series298.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ (exp x) (exp (- x)))
86.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
121.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
47.0ms
(- (exp x) (exp (- x)))

simplify1.8s

Counts
115 → 115
Iterations
IterNodes
34948
21643
1513
0200

prune1.6s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize149.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 1/60 (pow x 5))
0.1b
(* x (* 1/3 x))
0.1b
(* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))
0.3b
(* 1/3 x)

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
22×associate-*l*
21×add-exp-log
18×*-un-lft-identity add-cbrt-cube add-cube-cbrt
14×associate-*r*
13×pow1
10×times-frac
9×prod-exp
7×cbrt-unprod
6×unswap-sqr
5×pow-prod-down
4×unpow-prod-down *-commutative insert-posit16 add-log-exp
2×sqr-pow
1×pow-to-exp cbrt-undiv div-exp associate-*l/ pow-exp div-inv
Counts
4 → 97
Calls
4 calls:
11.0ms
(* 1/60 (pow x 5))
15.0ms
(* x (* 1/3 x))
37.0ms
(* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))
6.0ms
(* 1/3 x)

series284.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* 1/60 (pow x 5))
47.0ms
(* x (* 1/3 x))
133.0ms
(* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))
21.0ms
(* 1/3 x)

simplify2.0s

Counts
109 → 109
Iterations
IterNodes
34805
21245
1398
0172

prune2.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize135.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 1/3 x)
0.4b
(* (/ 1 (sqrt 2)) (* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2)) (sin y)))
0.4b
(/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2))
1.0b
(/ 1 (sqrt 2))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac
51×add-sqr-sqrt add-exp-log
49×*-un-lft-identity add-cube-cbrt
33×sqrt-prod
31×add-cbrt-cube
25×associate-*l*
21×prod-exp
13×pow1 div-exp
12×associate-/r*
11×cbrt-unprod
7×cbrt-undiv
6×associate-/l*
4×rec-exp 1-exp associate-*r* pow-prod-down insert-posit16 add-log-exp
3×associate-*l/ div-inv pow-flip
2×clear-num frac-2neg *-commutative associate-/l/
1×frac-times sqrt-pow1 flip3-+ pow1/2 associate-*r/ flip-+ inv-pow unswap-sqr
Counts
4 → 162
Calls
4 calls:
5.0ms
(* 1/3 x)
54.0ms
(* (/ 1 (sqrt 2)) (* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2)) (sin y)))
57.0ms
(/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2))
10.0ms
(/ 1 (sqrt 2))

series492.0ms

Counts
4 → 10
Calls
4 calls:
18.0ms
(* 1/3 x)
280.0ms
(* (/ 1 (sqrt 2)) (* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2)) (sin y)))
194.0ms
(/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2))
0.0ms
(/ 1 (sqrt 2))

simplify880.0ms

Counts
172 → 172
Iterations
IterNodes
22097
1617
0245

prune3.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize184.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2)) (sin y)))
0.4b
(/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2))
1.0b
(/ 1 (sqrt (sqrt 2)))
1.0b
(/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
1128×sqrt-prod
1116×times-frac
592×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
283×associate-*l*
79×add-exp-log
49×add-cbrt-cube
37×associate-/l*
32×div-exp
25×prod-exp
24×associate-/r*
23×pow1 div-inv
20×sqrt-pow1
17×cbrt-undiv
15×cbrt-unprod
14×pow-flip
10×pow1/2 pow-div
5×rec-exp 1-exp
4×insert-posit16 add-log-exp
3×clear-num frac-2neg pow-prod-down associate-*l/ associate-/l/
2×inv-pow
1×frac-times flip3-+ associate-*r* associate-*r/ *-commutative flip-+
Counts
4 → 771
Calls
4 calls:
76.0ms
(* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2)) (sin y)))
44.0ms
(/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2))
6.0ms
(/ 1 (sqrt (sqrt 2)))
12.0ms
(/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))

series456.0ms

Counts
4 → 8
Calls
4 calls:
274.0ms
(* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2)) (sin y)))
182.0ms
(/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) (sqrt 2))
0.0ms
(/ 1 (sqrt (sqrt 2)))
0.0ms
(/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))

simplify4.7s

Counts
779 → 779
Iterations
IterNodes
25241
11751
0618

prune19.4s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes320.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
234
134
025

end0.0ms

sample10.6s

Algorithm
halfpoints