Details

Time bar (total: 30.7s)

sample411.0ms

Algorithm
halfpoints

simplify1.1s

Counts
1 → 1
Iterations
IterNodes
done2000
82000
71201
6423
5176
4113
380
248
130
016

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 44.4b

localize104.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
59.4b
(- (exp x) (exp (- x)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×*-un-lft-identity
19×associate-*l*
16×times-frac
12×add-cube-cbrt
7×add-cbrt-cube add-exp-log
4×pow1 distribute-lft-out-- add-log-exp difference-of-squares
3×associate-*r*
2×prod-exp cbrt-unprod insert-posit16 unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative div-inv flip--
Counts
2 → 54
Calls
2 calls:
41.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
17.0ms
(- (exp x) (exp (- x)))

series136.0ms

Counts
2 → 6
Calls
2 calls:
95.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
40.0ms
(- (exp x) (exp (- x)))

simplify997.0ms

Counts
60 → 60
Iterations
IterNodes
done2012
32012
2991
1302
0119

prune424.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize88.0ms

Local error

Found 4 expressions with local error:

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

rewrite354.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1
28×add-sqr-sqrt add-exp-log
25×add-cbrt-cube
24×associate-*l*
17×*-un-lft-identity add-cube-cbrt
14×prod-exp
12×cbrt-unprod
10×times-frac associate-*r* pow-prod-down
6×unswap-sqr
5×pow-prod-up
4×unpow-prod-down *-commutative insert-posit16 add-log-exp
2×sqr-pow
1×pow2 pow-to-exp cbrt-undiv pow-plus cube-unmult div-exp associate-*l/ pow-exp pow-sqr div-inv
Counts
4 → 106
Calls
4 calls:
11.0ms
(* (pow x 5) 1/60)
19.0ms
(* x (* x x))
56.0ms
(* (* x (* x x)) 1/3)
266.0ms
(* (/ (+ (+ (+ x x) (* (pow x 5) 1/60)) (* (* x (* x x)) 1/3)) 2) (sin y))

series306.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (pow x 5) 1/60)
54.0ms
(* x (* x x))
59.0ms
(* (* x (* x x)) 1/3)
125.0ms
(* (/ (+ (+ (+ x x) (* (pow x 5) 1/60)) (* (* x (* x x)) 1/3)) 2) (sin y))

simplify896.0ms

Counts
118 → 118
Iterations
IterNodes
done2000
32000
21419
1430
0182

prune747.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize143.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (+ (+ (+ x x) (* (pow x 5) 1/60)) (* (* x (* x x)) 1/3)) (sqrt 2)) (sin y))
0.3b
(* (/ 1 (sqrt 2)) (* (/ (+ (+ (+ x x) (* (pow x 5) 1/60)) (* (* x (* x x)) 1/3)) (sqrt 2)) (sin y)))
0.4b
(/ (+ (+ (+ x x) (* (pow x 5) 1/60)) (* (* x (* x x)) 1/3)) (sqrt 2))
1.0b
(/ 1 (sqrt 2))

rewrite689.0ms

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:
295.0ms
(* (/ (+ (+ (+ x x) (* (pow x 5) 1/60)) (* (* x (* x x)) 1/3)) (sqrt 2)) (sin y))
178.0ms
(* (/ 1 (sqrt 2)) (* (/ (+ (+ (+ x x) (* (pow x 5) 1/60)) (* (* x (* x x)) 1/3)) (sqrt 2)) (sin y)))
205.0ms
(/ (+ (+ (+ x x) (* (pow x 5) 1/60)) (* (* x (* x x)) 1/3)) (sqrt 2))
8.0ms
(/ 1 (sqrt 2))

series668.0ms

Counts
4 → 10
Calls
4 calls:
201.0ms
(* (/ (+ (+ (+ x x) (* (pow x 5) 1/60)) (* (* x (* x x)) 1/3)) (sqrt 2)) (sin y))
283.0ms
(* (/ 1 (sqrt 2)) (* (/ (+ (+ (+ x x) (* (pow x 5) 1/60)) (* (* x (* x x)) 1/3)) (sqrt 2)) (sin y)))
183.0ms
(/ (+ (+ (+ x x) (* (pow x 5) 1/60)) (* (* x (* x x)) 1/3)) (sqrt 2))
0.0ms
(/ 1 (sqrt 2))

simplify1.2s

Counts
196 → 196
Iterations
IterNodes
done2005
22005
1696
0259

prune1.4s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize164.0ms

Local error

Found 4 expressions with local error:

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

rewrite564.0ms

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:
248.0ms
(* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (/ (+ (+ (+ x x) (* (pow x 5) 1/60)) (* (* x (* x x)) 1/3)) (sqrt 2)) (sin y)))
259.0ms
(/ (+ (+ (+ x x) (* (pow x 5) 1/60)) (* (* x (* x x)) 1/3)) (sqrt 2))
7.0ms
(/ 1 (sqrt (sqrt 2)))
13.0ms
(/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))

series444.0ms

Counts
4 → 8
Calls
4 calls:
275.0ms
(* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* (/ (+ (+ (+ x x) (* (pow x 5) 1/60)) (* (* x (* x x)) 1/3)) (sqrt 2)) (sin y)))
168.0ms
(/ (+ (+ (+ x x) (* (pow x 5) 1/60)) (* (* x (* x x)) 1/3)) (sqrt 2))
0.0ms
(/ 1 (sqrt (sqrt 2)))
0.0ms
(/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))

simplify1.7s

Counts
779 → 779
Iterations
IterNodes
done2000
22000
11745
0619

prune5.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes617.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify13.0ms

Iterations
IterNodes
done34
134
026

end0.0ms

sample12.4s

Algorithm
halfpoints