Details

Time bar (total: 14.9s)

sample360.0ms

Algorithm
halfpoints

simplify49.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.0b

localize39.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
58.4b
(- (exp x) (exp (- x)))

rewrite76.0ms

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:
61.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
13.0ms
(- (exp x) (exp (- x)))

series133.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
42.0ms
(- (exp x) (exp (- x)))

simplify96.0ms

Counts
58 → 58

prune171.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize32.0ms

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))

rewrite135.0ms

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:
23.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
14.0ms
(* 1/60 (pow x 5))
81.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))
13.0ms
(* 1/3 (pow x 3))

series261.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
59.0ms
(* 1/60 (pow x 5))
96.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))
40.0ms
(* 1/3 (pow x 3))

simplify56.0ms

Counts
113 → 113

prune359.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

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))
0.3b
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
0.5b
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
1.0b
(/ 1 (sqrt 2.0))

rewrite271.0ms

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:
80.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
96.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
80.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
7.0ms
(/ 1 (sqrt 2.0))

series535.0ms

Counts
4 → 10
Calls
4 calls:
171.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
231.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
133.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify91.0ms

Counts
192 → 192

prune576.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

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))
0.3b
(* (cbrt (/ (/ 1 2.0) (sqrt 2.0))) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
0.5b
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
1.0b
(/ (/ 1 2.0) (sqrt 2.0))

rewrite332.0ms

Algorithm
rewrite-expression-head
Rules
311×times-frac
188×add-sqr-sqrt
180×add-cube-cbrt *-un-lft-identity
107×associate-*l*
103×sqrt-prod
82×cbrt-prod
29×add-exp-log
22×add-cbrt-cube
17×div-inv
16×associate-/l*
15×pow1
12×associate-/r*
9×div-exp
7×prod-exp cbrt-unprod
6×cbrt-undiv
4×associate-*r* pow-prod-down associate-*l/ add-log-exp pow-div
3×associate-/l/ unswap-sqr
2×cbrt-div pow-flip frac-2neg sqrt-pow1 pow1/2 clear-num *-commutative inv-pow
1×frac-times rec-exp flip3-+ 1-exp associate-*r/ flip-+
Counts
4 → 306
Calls
4 calls:
104.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
120.0ms
(* (cbrt (/ (/ 1 2.0) (sqrt 2.0))) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
75.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
13.0ms
(/ (/ 1 2.0) (sqrt 2.0))

series1.2s

Counts
4 → 10
Calls
4 calls:
463.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
592.0ms
(* (cbrt (/ (/ 1 2.0) (sqrt 2.0))) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
135.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
0.0ms
(/ (/ 1 2.0) (sqrt 2.0))

simplify121.0ms

Counts
316 → 316

prune1.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes86.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample8.5s

Algorithm
halfpoints