Details

Time bar (total: 26.7s)

sample470.0ms

Algorithm
halfpoints

simplify1.0s

Counts
1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.0b

localize74.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
57.7b
(- (exp x) (exp (- x)))

rewrite132.0ms

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-exp-log add-cbrt-cube
4×pow1 distribute-lft-out-- add-log-exp difference-of-squares
3×associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv
Counts
2 → 52
Calls
2 calls:
100.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
31.0ms
(- (exp x) (exp (- x)))

series193.0ms

Counts
2 → 6
Calls
2 calls:
136.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
57.0ms
(- (exp x) (exp (- x)))

simplify1.6s

Counts
58 → 58

prune216.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.0b
(* 1/60 (pow x 5))
0.1b
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))
0.1b
(* 1/3 (pow x 3))

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
22×associate-*r*
19×add-exp-log add-cube-cbrt *-un-lft-identity associate-*l*
13×add-cbrt-cube
10×times-frac
9×add-log-exp unswap-sqr
8×unpow-prod-down prod-exp
6×pow1
4×cube-prod cbrt-unprod sqr-pow
3×sum-log *-commutative
2×pow-to-exp pow-exp
1×cbrt-undiv +-commutative cube-mult associate-+r+ flip3-+ unpow3 div-exp pow-prod-down associate-*l/ flip-+ div-inv
Counts
4 → 101
Calls
4 calls:
36.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
26.0ms
(* 1/60 (pow x 5))
143.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))
14.0ms
(* 1/3 (pow x 3))

series332.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
61.0ms
(* 1/60 (pow x 5))
141.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))
56.0ms
(* 1/3 (pow x 3))

simplify926.0ms

Counts
113 → 113

prune478.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
0.4b
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
0.4b
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
1.0b
(/ 1 (sqrt 2.0))

rewrite372.0ms

Algorithm
rewrite-expression-head
Rules
74×times-frac
69×add-sqr-sqrt
61×add-cube-cbrt *-un-lft-identity
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/ div-inv add-log-exp
3×pow-flip unswap-sqr
2×frac-2neg clear-num *-commutative associate-/l/
1×frac-times sqrt-pow1 flip3-+ pow1/2 associate-*r/ flip-+ inv-pow
Counts
4 → 182
Calls
4 calls:
116.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
108.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
125.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
13.0ms
(/ 1 (sqrt 2.0))

series727.0ms

Counts
4 → 10
Calls
4 calls:
244.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
314.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
169.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify1.7s

Counts
192 → 192

prune911.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 1/3 (pow x 3))
0.2b
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
0.4b
(* (pow 2.0 (- (/ 1 2))) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
0.4b
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))

rewrite426.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×add-exp-log
39×add-cube-cbrt *-un-lft-identity
38×times-frac
32×associate-*l*
22×sqrt-prod add-cbrt-cube
20×prod-exp
16×associate-*r*
8×cbrt-unprod
7×unpow-prod-down unswap-sqr
6×pow1 associate-*l/ associate-/r*
5×div-exp
4×pow-to-exp cube-prod pow-exp add-log-exp
3×cbrt-undiv *-commutative associate-/l* sqr-pow
2×neg-sub0 frac-times pow-neg div-inv associate-/l/ pow-sub
1×cube-mult frac-2neg flip3-+ unpow3 associate-*r/ pow-prod-down clear-num flip-+
Counts
4 → 147
Calls
4 calls:
14.0ms
(* 1/3 (pow x 3))
151.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
132.0ms
(* (pow 2.0 (- (/ 1 2))) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
124.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))

series791.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* 1/3 (pow x 3))
209.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
320.0ms
(* (pow 2.0 (- (/ 1 2))) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
201.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))

simplify1.6s

Counts
159 → 159

prune842.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify1.0s

end0.0ms

sample12.3s

Algorithm
halfpoints