Details

Time bar (total: 51.9s)

sample403.0ms

Algorithm
halfpoints

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
151589
141589
131571
121492
111352
101253
91073
8818
7544
6376
5263
4194
3132
288
158
016

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 46.8b

localize146.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.1b
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
57.5b
(- (exp x) (exp (- x)))

rewrite170.0ms

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:
73.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
74.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
20.0ms
(- (exp x) (exp (- x)))

series230.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
108.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
53.0ms
(- (exp x) (exp (- x)))

simplify2.3s

Counts
99 → 99
Iterations
IterNodes
35270
21917
1824
0187

prune1.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize114.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.1b
(* (pow x 5) 1/60)
0.1b
(* (/ (+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2))) 2) (sin y))
0.2b
(* 1/3 (* x x))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×associate-*l*
31×*-un-lft-identity
25×add-cube-cbrt
24×add-exp-log
23×times-frac
21×add-cbrt-cube
13×pow1
10×associate-*r* prod-exp
8×cbrt-unprod unswap-sqr
5×pow-prod-down
4×unpow-prod-down *-commutative insert-posit16 add-log-exp
3×distribute-lft-out
2×cbrt-undiv div-exp associate-*l/ div-inv sqr-pow
1×pow-to-exp pow-exp
Counts
4 → 115
Calls
4 calls:
65.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
8.0ms
(* (pow x 5) 1/60)
24.0ms
(* (/ (+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2))) 2) (sin y))
14.0ms
(* 1/3 (* x x))

series341.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
94.0ms
(* (pow x 5) 1/60)
117.0ms
(* (/ (+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2))) 2) (sin y))
46.0ms
(* 1/3 (* x x))

simplify871.0ms

Counts
127 → 127
Iterations
IterNodes
22421
11009
0234

prune2.3s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize153.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2))) (sqrt 2)) (sin y))
0.3b
(* (/ 1 (sqrt 2)) (* (/ (+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2))) (sqrt 2)) (sin y)))
0.5b
(/ (+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2))) (sqrt 2))
1.0b
(/ 1 (sqrt 2))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
74×times-frac
69×add-sqr-sqrt
61×*-un-lft-identity add-cube-cbrt
54×add-exp-log
44×associate-*l*
43×sqrt-prod
34×add-cbrt-cube
22×prod-exp
14×div-exp
13×pow1
12×associate-/r* cbrt-unprod
8×cbrt-undiv
6×associate-/l*
4×rec-exp 1-exp associate-*r* pow-prod-down associate-*l/ insert-posit16 div-inv add-log-exp
3×pow-flip unswap-sqr
2×clear-num frac-2neg *-commutative associate-/l/
1×frac-times sqrt-pow1 flip3-+ pow1/2 associate-*r/ flip-+ inv-pow
Counts
4 → 186
Calls
4 calls:
22.0ms
(* (/ (+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2))) (sqrt 2)) (sin y))
64.0ms
(* (/ 1 (sqrt 2)) (* (/ (+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2))) (sqrt 2)) (sin y)))
37.0ms
(/ (+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2))) (sqrt 2))
5.0ms
(/ 1 (sqrt 2))

series602.0ms

Counts
4 → 10
Calls
4 calls:
202.0ms
(* (/ (+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2))) (sqrt 2)) (sin y))
256.0ms
(* (/ 1 (sqrt 2)) (* (/ (+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2))) (sqrt 2)) (sin y)))
143.0ms
(/ (+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2))) (sqrt 2))
0.0ms
(/ 1 (sqrt 2))

simplify1.1s

Counts
196 → 196
Iterations
IterNodes
22909
11130
0258

prune4.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize136.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (/ (+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2))) (sqrt 2)) (sin y)))
0.5b
(/ (+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2))) (sqrt 2))
1.0b
(/ 1 (sqrt (sqrt 2)))
1.0b
(/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))

rewrite144.0ms

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:
55.0ms
(* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (/ (+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2))) (sqrt 2)) (sin y)))
44.0ms
(/ (+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2))) (sqrt 2))
6.0ms
(/ 1 (sqrt (sqrt 2)))
11.0ms
(/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))

series374.0ms

Counts
4 → 8
Calls
4 calls:
239.0ms
(* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (/ (+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2))) (sqrt 2)) (sin y)))
135.0ms
(/ (+ (* (pow x 5) 1/60) (* x (+ (* 1/3 (* x x)) 2))) (sqrt 2))
0.0ms
(/ 1 (sqrt (sqrt 2)))
0.0ms
(/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))

simplify1.8s

Counts
779 → 779
Iterations
IterNodes
12799
0618

prune19.9s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes233.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
233
133
025

end0.0ms

sample11.5s

Algorithm
halfpoints