Details

Time bar (total: 41.1s)

sample475.0ms

Algorithm
halfpoints

simplify1.0s

Counts
1 → 1

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.8b

localize88.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.1b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
57.9b
(- (exp x) (exp (- x)))

rewrite237.0ms

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-exp-log add-cbrt-cube
7×pow1
6×associate-*r*
5×add-log-exp
4×prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
3×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 → 87
Calls
3 calls:
102.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
104.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
25.0ms
(- (exp x) (exp (- x)))

series288.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
131.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
59.0ms
(- (exp x) (exp (- x)))

simplify681.0ms

Counts
96 → 96

prune561.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize106.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.2s

Algorithm
rewrite-expression-head
Rules
88×*-un-lft-identity
76×times-frac
61×add-sqr-sqrt
56×add-cube-cbrt
24×unpow-prod-down
22×associate-*l*
21×distribute-lft-out
19×add-exp-log associate-/l*
13×add-cbrt-cube
12×cube-prod
9×add-log-exp
8×sqr-pow
7×div-exp
6×pow1 associate-/r*
4×cube-mult unpow3
3×cbrt-undiv associate-*r* sum-log div-inv
2×pow-to-exp frac-2neg pow-exp prod-exp clear-num cbrt-unprod unswap-sqr
1×+-commutative associate-+l+ flip3-+ pow-prod-down associate-*l/ *-commutative flip-+
Counts
4 → 166
Calls
4 calls:
309.0ms
(+ (+ (/ (pow x 3) 3) x) x)
9.0ms
(/ (pow x 5) 60)
19.0ms
(/ (pow x 3) 3)
1.8s
(* (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) 2.0) (sin y))

series413.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(+ (+ (/ (pow x 3) 3) x) x)
81.0ms
(/ (pow x 5) 60)
67.0ms
(/ (pow x 3) 3)
154.0ms
(* (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) 2.0) (sin y))

simplify1.3s

Counts
178 → 178

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.1s

Algorithm
rewrite-expression-head
Rules
190×*-un-lft-identity
110×times-frac
81×add-sqr-sqrt
78×distribute-lft-out
73×add-cube-cbrt
62×associate-*l*
61×sqrt-prod
54×add-exp-log
34×add-cbrt-cube
22×prod-exp
14×div-exp
13×pow1
12×associate-/r* cbrt-unprod
9×associate-/l*
8×cbrt-undiv
4×rec-exp 1-exp associate-*r* pow-prod-down associate-*l/ div-inv associate-/l/ add-log-exp
3×pow-flip unswap-sqr
2×frac-2neg flip3-+ frac-add clear-num *-commutative flip-+
1×frac-times sqrt-pow1 pow1/2 associate-*r/ inv-pow
Counts
4 → 223
Calls
4 calls:
1.9s
(* (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0)) (sin y))
1.5s
(* (/ 1 (sqrt 2.0)) (* (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0)) (sin y)))
2.6s
(/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0))
16.0ms
(/ 1 (sqrt 2.0))

series710.0ms

Counts
4 → 10
Calls
4 calls:
244.0ms
(* (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0)) (sin y))
313.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0)) (sin y)))
153.0ms
(/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify1.7s

Counts
233 → 233

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1 (sqrt (sqrt 2.0))) (/ (* (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0)) (sin y)) (sqrt (sqrt 2.0))))
0.3b
(* (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0)) (sin y))
0.5b
(/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0))
1.0b
(/ 1 (sqrt (sqrt 2.0)))

rewrite6.1s

Algorithm
rewrite-expression-head
Rules
210×*-un-lft-identity
143×times-frac
118×sqrt-prod
115×add-sqr-sqrt
90×add-cube-cbrt
78×distribute-lft-out
75×add-exp-log
71×associate-*l*
45×add-cbrt-cube
28×div-exp
26×prod-exp
16×associate-*r*
15×cbrt-undiv associate-/r*
14×cbrt-unprod
11×pow1
10×unswap-sqr
9×associate-/l*
5×rec-exp pow-flip 1-exp div-inv
4×sqrt-pow1 associate-/l/ add-log-exp
2×frac-2neg flip3-+ pow1/2 pow-prod-down associate-*l/ frac-add clear-num *-commutative flip-+
1×frac-times associate-*r/ inv-pow
Counts
4 → 270
Calls
4 calls:
1.7s
(* (/ 1 (sqrt (sqrt 2.0))) (/ (* (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0)) (sin y)) (sqrt (sqrt 2.0))))
2.1s
(* (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0)) (sin y))
2.3s
(/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0))
11.0ms
(/ 1 (sqrt (sqrt 2.0)))

series742.0ms

Counts
4 → 10
Calls
4 calls:
332.0ms
(* (/ 1 (sqrt (sqrt 2.0))) (/ (* (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0)) (sin y)) (sqrt (sqrt 2.0))))
221.0ms
(* (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0)) (sin y))
188.0ms
(/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0))
0.0ms
(/ 1 (sqrt (sqrt 2.0)))

simplify714.0ms

Counts
280 → 280

prune2.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes189.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify816.0ms

end0.0ms

sample12.0s

Algorithm
halfpoints