Details

Time bar (total: 21.7s)

sample184.0ms

Algorithm
halfpoints
Results

simplify225.0ms

Calls
1 calls:
Slowest
225.0ms
(re (complex (* (/ (+ (exp x) (exp (- x))) 2) (cos y)) (* (/ (- (exp x) (exp (- x))) 2) (sin y))))

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

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))

rewrite42.0ms

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
Calls
3 calls:
Slowest
19.0ms
(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
12.0ms
(* (cos y) (exp x))
11.0ms
(/ (cos y) (exp x))

series145.0ms

Calls
3 calls:
Slowest
78.0ms
(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
35.0ms
(* (cos y) (exp x))
32.0ms
(/ (cos y) (exp x))

simplify1.6s

Calls
47 calls:
Slowest
449.0ms
(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
358.0ms
(* (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
161.0ms
(* (exp (/ (cos y) (exp x))) (exp (* (cos y) (exp x))))
101.0ms
(- 1 (+ (* 1/2 (pow y 2)) x))
70.0ms
(- (+ x 1) (* 1/2 (pow y 2)))

prune641.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (exp x))
0.0b
(+ (/ 1 (exp x)) (exp x))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
9×times-frac
4×add-cbrt-cube pow-flip add-log-exp
3×pow1 exp-prod associate-/r* add-exp-log associate-/l*
2×div-exp insert-posit16 div-inv distribute-lft-out
1×cbrt-undiv +-commutative rec-exp clear-num sum-log frac-2neg flip3-+ 1-exp flip-+ inv-pow
Calls
2 calls:
Slowest
23.0ms
(+ (/ 1 (exp x)) (exp x))
6.0ms
(/ 1 (exp x))

series42.0ms

Calls
2 calls:
Slowest
27.0ms
(+ (/ 1 (exp x)) (exp x))
15.0ms
(/ 1 (exp x))

simplify685.0ms

Calls
39 calls:
Slowest
138.0ms
(/ (* (* 1 1) 1) (* (* (exp x) (exp x)) (exp x)))
78.0ms
(- (+ (* 1/2 (pow x 2)) 1) x)
49.0ms
(/ (* (cbrt 1) (cbrt 1)) (* (cbrt (exp x)) (cbrt (exp x))))
32.0ms
(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
24.0ms
(/ (* (cbrt 1) (cbrt 1)) (sqrt (exp x)))

prune571.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

15.3b
(- (* (* (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)))

rewrite549.0ms

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--
Calls
4 calls:
Slowest
473.0ms
(- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x))))
56.0ms
(* (* (cos y) (exp x)) (* (cos y) (exp x)))
12.0ms
(pow (* (cos y) (exp x)) 3)
6.0ms
(pow (/ (cos y) (exp x)) 3)

series287.0ms

Calls
4 calls:
Slowest
121.0ms
(- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x))))
70.0ms
(pow (/ (cos y) (exp x)) 3)
51.0ms
(* (* (cos y) (exp x)) (* (cos y) (exp x)))
46.0ms
(pow (* (cos y) (exp x)) 3)

simplify9.4s

Calls
93 calls:
Slowest
668.0ms
(/ (exp (* (* (cos y) (exp x)) (* (cos y) (exp x)))) (exp (* (/ (cos y) (exp x)) (* (cos y) (exp x)))))
624.0ms
(* (* (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (cos y) (exp x))) (* (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (cos y) (exp x))))
387.0ms
(pow (/ (* (cbrt (cos y)) (cbrt (cos y))) 1) 3)
367.0ms
(pow (/ 1 (* (cbrt (exp x)) (cbrt (exp x)))) 3)
363.0ms
(pow (/ 1 (* (cbrt (exp x)) (cbrt (exp x)))) 3)

prune1.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample5.2s

Algorithm
halfpoints
Results