Details

Time bar (total: 20.5s)

sample181.0ms

Algorithm
halfpoints
Results

simplify169.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
168.0ms
(re (complex (* (/ (+ (exp x) (exp (- x))) 2) (cos y)) (* (/ (- (exp x) (exp (- x))) 2) (sin y))))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

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
19.0ms
(/ (cos y) (exp x))
19.0ms
(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
11.0ms
(* (cos y) (exp x))

series195.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
92.0ms
(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
53.0ms
(/ (cos y) (exp x))
49.0ms
(* (cos y) (exp x))

simplify1.5s

Counts
47 → 69
Calls
47 calls:
Slowest
437.0ms
(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
277.0ms
(* (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
157.0ms
(* (exp (/ (cos y) (exp x))) (exp (* (cos y) (exp x))))
92.0ms
(- (+ x 1) (* 1/2 (pow y 2)))
76.0ms
(- 1 (+ (* 1/2 (pow y 2)) x))

prune669.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

18.7b
(- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x))))
0.4b
(pow (* (cos y) (exp x)) 3)
0.4b
(pow (/ (cos y) (exp x)) 3)
0.3b
(* (* (cos y) (exp x)) (* (cos y) (exp x)))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1
22×add-cbrt-cube
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac pow-prod-down
16×add-exp-log
14×unpow-prod-down cube-prod
9×prod-exp cbrt-unprod
6×pow-unpow add-log-exp
4×pow-exp pow-sqr pow-prod-up insert-posit16 rem-cube-cbrt
3×pow-pow
2×cube-mult pow-to-exp pow-plus unpow3 div-inv sqr-pow
1×cube-div pow2 cbrt-undiv sub-neg flip3-- distribute-rgt-out-- diff-log swap-sqr div-exp associate-*r* associate-*l* *-commutative flip--
Counts
4 → 119
Calls
4 calls:
Slowest
83.0ms
(* (* (cos y) (exp x)) (* (cos y) (exp x)))
52.0ms
(- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x))))
11.0ms
(pow (/ (cos y) (exp x)) 3)
9.0ms
(pow (* (cos y) (exp x)) 3)

series306.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
130.0ms
(- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x))))
66.0ms
(pow (* (cos y) (exp x)) 3)
59.0ms
(pow (/ (cos y) (exp x)) 3)
52.0ms
(* (* (cos y) (exp x)) (* (cos y) (exp x)))

simplify9.5s

Counts
93 → 131
Calls
93 calls:
Slowest
706.0ms
(* (* (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (cos y) (exp x))) (* (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (cos y) (exp x))))
687.0ms
(/ (exp (* (* (cos y) (exp x)) (* (cos y) (exp x)))) (exp (* (/ (cos y) (exp x)) (* (cos y) (exp x)))))
420.0ms
(pow (/ 1 (* (cbrt (exp x)) (cbrt (exp x)))) 3)
405.0ms
(pow (/ 1 (* (cbrt (exp x)) (cbrt (exp x)))) 3)
376.0ms
(pow (/ (* (cbrt (cos y)) (cbrt (cos y))) 1) 3)

prune2.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample5.6s

Algorithm
halfpoints
Results