Details

Time bar (total: 24.8s)

sample302.0ms

Algorithm
halfpoints

simplify644.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.2b

localize51.0ms

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))
59.1b
(- (exp x) (exp (- x)))

rewrite120.0ms

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:
50.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
54.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
12.0ms
(- (exp x) (exp (- x)))

series174.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
78.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
38.0ms
(- (exp x) (exp (- x)))

simplify490.0ms

Counts
96 → 96

prune307.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize63.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity
89×times-frac
75×add-sqr-sqrt
65×add-cube-cbrt
38×associate-*l*
24×add-exp-log unpow-prod-down
21×distribute-lft-out
19×associate-/l*
18×add-cbrt-cube
12×cube-prod
8×pow1 div-exp sqr-pow
6×associate-*r* associate-/r*
4×cbrt-undiv cube-mult unpow3 prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
2×pow-to-exp frac-2neg pow-prod-down associate-*l/ pow-exp clear-num *-commutative
Counts
4 → 186
Calls
4 calls:
49.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
8.0ms
(/ (pow x 5) 60)
1.1s
(* (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) 2.0) (sin y))
9.0ms
(/ (pow x 3) 3)

series231.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
49.0ms
(/ (pow x 5) 60)
88.0ms
(* (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) 2.0) (sin y))
36.0ms
(/ (pow x 3) 3)

simplify929.0ms

Counts
198 → 198

prune732.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.4s

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:
1.1s
(* (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0)) (sin y))
859.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0)) (sin y)))
1.4s
(/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0))
6.0ms
(/ 1 (sqrt 2.0))

series472.0ms

Counts
4 → 10
Calls
4 calls:
147.0ms
(* (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0)) (sin y))
206.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0)) (sin y)))
120.0ms
(/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify1.1s

Counts
233 → 233

prune760.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.4s

Algorithm
rewrite-expression-head
Rules
189×*-un-lft-identity
110×times-frac
80×add-sqr-sqrt
78×distribute-lft-out
72×add-cube-cbrt
47×associate-*l*
40×add-exp-log sqrt-prod
22×add-cbrt-cube
18×associate-/l*
17×prod-exp
15×unpow-prod-down
12×cube-prod
9×associate-/r*
8×div-exp
7×cbrt-unprod
6×pow1 associate-*l/
5×sqr-pow
4×cbrt-undiv cube-mult pow-to-exp unpow3 associate-*r* pow-exp associate-/l/ add-log-exp
3×div-inv unswap-sqr
2×neg-sub0 frac-times pow-neg frac-2neg flip3-+ frac-add clear-num *-commutative flip-+ pow-sub
1×associate-*r/ pow-prod-down
Counts
4 → 222
Calls
4 calls:
9.0ms
(/ (pow x 3) 3)
1.1s
(* (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0)) (sin y))
844.0ms
(* (pow 2.0 (- (/ 1 2))) (* (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0)) (sin y)))
1.4s
(/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0))

series516.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ (pow x 3) 3)
149.0ms
(* (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0)) (sin y))
215.0ms
(* (pow 2.0 (- (/ 1 2))) (* (/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0)) (sin y)))
117.0ms
(/ (+ (/ (pow x 5) 60) (+ (+ (/ (pow x 3) 3) x) x)) (sqrt 2.0))

simplify1.2s

Counts
234 → 234

prune820.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify488.0ms

end0.0ms

sample7.2s

Algorithm
halfpoints