Details

Time bar (total: 19.4s)

sample189.0ms

Algorithm
halfpoints
Results

simplify209.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
209.0ms
(re (complex (* (/ (+ (exp x) (exp (- x))) 2) (cos y)) (* (/ (- (exp x) (exp (- x))) 2) (sin y))))

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (cos y) (exp x))
0.0b
(* (cos y) (exp x))
0.0b
(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
9×times-frac
7×add-cbrt-cube
5×pow1 add-exp-log add-log-exp
3×associate-/r* associate-*r* associate-*l* insert-posit16 associate-/l*
2×div-inv
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-+ div-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
3 → 60
Calls
3 calls:
Slowest
18.0ms
(/ (cos y) (exp x))
18.0ms
(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
10.0ms
(* (cos y) (exp x))

series167.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
84.0ms
(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
52.0ms
(/ (cos y) (exp x))
31.0ms
(* (cos y) (exp x))

simplify1.6s

Counts
47 → 69
Calls
47 calls:
Slowest
442.0ms
(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
323.0ms
(* (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
193.0ms
(* (exp (/ (cos y) (exp x))) (exp (* (cos y) (exp x))))
131.0ms
(- 1 (+ (* 1/2 (pow y 2)) x))
79.0ms
(- (+ x 1) (* 1/2 (pow y 2)))

prune704.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (exp x))
0.0b
(* (cos y) (+ (/ 1 (exp x)) (exp x)))
0.0b
(+ (/ 1 (exp x)) (exp x))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-sqr-sqrt
14×add-cube-cbrt
9×times-frac
7×add-cbrt-cube
6×pow1 add-exp-log
5×associate-*r* add-log-exp
4×pow-flip distribute-lft-out
3×exp-prod associate-/r* associate-*l* insert-posit16 div-inv associate-/l*
2×flip3-+ div-exp associate-*r/ flip-+
1×distribute-rgt-in cbrt-undiv +-commutative rec-exp clear-num sum-log frac-2neg distribute-lft-in 1-exp pow-prod-down prod-exp *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
3 → 74
Calls
3 calls:
Slowest
44.0ms
(* (cos y) (+ (/ 1 (exp x)) (exp x)))
17.0ms
(+ (/ 1 (exp x)) (exp x))
6.0ms
(/ 1 (exp x))

series100.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
54.0ms
(* (cos y) (+ (/ 1 (exp x)) (exp x)))
30.0ms
(+ (/ 1 (exp x)) (exp x))
16.0ms
(/ 1 (exp x))

simplify1.5s

Counts
58 → 83
Calls
58 calls:
Slowest
259.0ms
(* (* (* (cos y) (cos y)) (cos y)) (* (* (+ (/ 1 (exp x)) (exp x)) (+ (/ 1 (exp x)) (exp x))) (+ (/ 1 (exp x)) (exp x))))
180.0ms
(+ (* (/ 1 (exp x)) (/ 1 (exp x))) (- (* (exp x) (exp x)) (* (/ 1 (exp x)) (exp x))))
143.0ms
(/ (* (* 1 1) 1) (* (* (exp x) (exp x)) (exp x)))
78.0ms
(* (cos y) (+ (/ 1 (exp x)) (exp x)))
70.0ms
(- (+ (* 1/2 (pow x 2)) 1) x)

prune869.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (exp x) (cos y)))
0.1b
(/ (exp x) (cos y))
0.0b
(* (cos y) (exp x))
0.0b
(+ (/ 1 (/ (exp x) (cos y))) (* (cos y) (exp x)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
58×add-sqr-sqrt
56×*-un-lft-identity add-cube-cbrt
16×associate-/r*
14×add-exp-log
13×add-cbrt-cube
8×div-exp
7×pow1
6×div-inv associate-/l* add-log-exp
4×cbrt-undiv insert-posit16
3×associate-*r* associate-*l*
2×rec-exp clear-num frac-2neg 1-exp
1×+-commutative sum-log flip3-+ pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-+ pow-flip inv-pow unswap-sqr
Counts
4 → 136
Calls
4 calls:
Slowest
22.0ms
(+ (/ 1 (/ (exp x) (cos y))) (* (cos y) (exp x)))
22.0ms
(* (cos y) (exp x))
17.0ms
(/ 1 (/ (exp x) (cos y)))
12.0ms
(/ (exp x) (cos y))

series251.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
110.0ms
(+ (/ 1 (/ (exp x) (cos y))) (* (cos y) (exp x)))
55.0ms
(/ (exp x) (cos y))
45.0ms
(/ 1 (/ (exp x) (cos y)))
41.0ms
(* (cos y) (exp x))

simplify6.8s

Counts
149 → 148
Calls
149 calls:
Slowest
606.0ms
(* (exp (/ 1 (/ (exp x) (cos y)))) (exp (* (cos y) (exp x))))
481.0ms
(/ (* (* 1 1) 1) (* (* (/ (exp x) (cos y)) (/ (exp x) (cos y))) (/ (exp x) (cos y))))
401.0ms
(/ (* (* (exp x) (exp x)) (exp x)) (* (* (cos y) (cos y)) (cos y)))
349.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (cos y)) (cbrt (cos y)))))
280.0ms
(/ (* (* 1 1) 1) (/ (* (* (exp x) (exp x)) (exp x)) (* (* (cos y) (cos y)) (cos y))))

prune1.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample5.0s

Algorithm
halfpoints
Results