Details

Time bar (total: 2.4m)

sample223.0ms

Algorithm
halfpoints
Results

simplify272.0ms

Calls
1 calls:
Slowest
271.0ms
(re (complex (* (/ (+ (exp x) (exp (- x))) 2) (cos y)) (* (/ (- (exp x) (exp (- x))) 2) (sin y))))

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (cos y) (exp x))
0.0b
(fma (cos y) (exp x) (/ (cos y) (exp x)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube
3×associate-/r* add-exp-log associate-/l*
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp fma-udef div-inv
Calls
2 calls:
Slowest
10.0ms
(/ (cos y) (exp x))
0.0ms
(fma (cos y) (exp x) (/ (cos y) (exp x)))

series177.0ms

Calls
2 calls:
Slowest
118.0ms
(fma (cos y) (exp x) (/ (cos y) (exp x)))
59.0ms
(/ (cos y) (exp x))

simplify944.0ms

Calls
31 calls:
Slowest
443.0ms
(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
155.0ms
(- 1 (+ (* 1/2 (pow y 2)) x))
59.0ms
(- (+ (pow x 2) 2) (pow y 2))
45.0ms
(/ (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (exp x)) (cbrt (exp x))))
33.0ms
(/ (* (cbrt (cos y)) (cbrt (cos y))) (sqrt (exp x)))

prune478.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x)))
0.0b
(/ (cos y) (sqrt (exp x)))
0.0b
(fma (cos y) (exp x) (/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x))))
0.0b
(sqrt (exp x))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
159×add-sqr-sqrt
158×*-un-lft-identity add-cube-cbrt
147×sqrt-prod
25×associate-/l*
12×associate-/r*
11×add-cbrt-cube add-exp-log
9×div-inv
5×pow1
4×expm1-log1p-u cbrt-undiv sqrt-pow1 div-exp insert-posit16 log1p-expm1-u add-log-exp
3×exp-prod
2×clear-num frac-2neg
1×rem-sqrt-square pow1/2 fma-udef associate-/l/
Calls
4 calls:
Slowest
24.0ms
(/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x)))
14.0ms
(/ (cos y) (sqrt (exp x)))
2.0ms
(sqrt (exp x))
0.0ms
(fma (cos y) (exp x) (/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x))))

series262.0ms

Calls
4 calls:
Slowest
111.0ms
(fma (cos y) (exp x) (/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x))))
81.0ms
(/ (cos y) (sqrt (exp x)))
56.0ms
(/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x)))
14.0ms
(sqrt (exp x))

simplify11.6s

Calls
362 calls:
Slowest
526.0ms
(/ (* (* (cos y) (cos y)) (cos y)) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))
370.0ms
(/ (/ (* (* (cos y) (cos y)) (cos y)) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x)))) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))
229.0ms
(/ (* (* (/ (cos y) (sqrt (exp x))) (/ (cos y) (sqrt (exp x)))) (/ (cos y) (sqrt (exp x)))) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))
218.0ms
(- 1 (+ (* 1/2 (pow y 2)) (* 1/2 x)))
171.0ms
(/ (/ (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x))))) (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))))

prune3.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow E (/ x 2))
0.0b
(/ (/ (cos y) (sqrt (exp x))) (pow E (/ x 2)))
0.0b
(/ (cos y) (sqrt (exp x)))
0.0b
(fma (cos y) (exp x) (/ (/ (cos y) (sqrt (exp x))) (pow E (/ x 2))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
325×times-frac
177×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
84×sqrt-prod
72×unpow-prod-down
25×associate-/l*
24×sqr-pow
23×add-exp-log
13×pow-unpow associate-/r* div-exp
11×add-cbrt-cube div-inv
6×pow-exp
5×pow1
4×expm1-log1p-u cbrt-undiv insert-posit16 log1p-expm1-u add-log-exp
3×pow-to-exp e-exp-1
2×clear-num frac-2neg
1×pow-pow fma-udef associate-/l/
Calls
4 calls:
Slowest
21.0ms
(/ (/ (cos y) (sqrt (exp x))) (pow E (/ x 2)))
10.0ms
(/ (cos y) (sqrt (exp x)))
3.0ms
(pow E (/ x 2))
0.0ms
(fma (cos y) (exp x) (/ (/ (cos y) (sqrt (exp x))) (pow E (/ x 2))))

series393.0ms

Calls
4 calls:
Slowest
196.0ms
(fma (cos y) (exp x) (/ (/ (cos y) (sqrt (exp x))) (pow E (/ x 2))))
118.0ms
(/ (/ (cos y) (sqrt (exp x))) (pow E (/ x 2)))
57.0ms
(/ (cos y) (sqrt (exp x)))
21.0ms
(pow E (/ x 2))

simplify1.3m

Calls
423 calls:
Slowest
884.0ms
(/ (/ (* (cbrt (cos y)) (cbrt (cos y))) (sqrt (* (cbrt (exp x)) (cbrt (exp x))))) (pow (sqrt E) (/ x 2)))
873.0ms
(/ (/ (cos y) (sqrt (exp x))) (pow (cbrt E) (/ x 2)))
690.0ms
(/ (/ 1 (sqrt (sqrt (exp x)))) (pow (* (cbrt E) (cbrt E)) (/ x 2)))
679.0ms
(/ (/ (sqrt (cos y)) (sqrt 1)) (sqrt (pow E (/ x 2))))
656.0ms
(/ (/ 1 (sqrt (exp x))) (pow (sqrt E) (/ x 2)))

prune4.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ 1 (sqrt (sqrt (exp x)))) (/ (cos y) (sqrt (sqrt (exp x)))))
0.0b
(/ (cos y) (sqrt (sqrt (exp x))))
0.0b
(pow E (/ x 2))
0.0b
(/ (* (/ 1 (sqrt (sqrt (exp x)))) (/ (cos y) (sqrt (sqrt (exp x))))) (pow E (/ x 2)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
165×add-sqr-sqrt
142×times-frac
139×add-exp-log
135×sqrt-prod
88×*-un-lft-identity
77×div-exp
76×add-cube-cbrt
40×prod-exp
36×add-cbrt-cube
31×associate-*r* associate-*l*
28×unswap-sqr
20×pow-exp
16×associate-/r*
14×cbrt-undiv
13×pow-unpow
10×pow-to-exp e-exp-1 rec-exp 1-exp
9×unpow-prod-down
8×cbrt-unprod
7×pow1
5×div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u associate-/l* add-log-exp
3×sqr-pow associate-/l/
2×frac-times clear-num frac-2neg associate-*l/ associate-*r/
1×pow-pow pow-prod-down *-commutative
Calls
4 calls:
Slowest
67.0ms
(* (/ 1 (sqrt (sqrt (exp x)))) (/ (cos y) (sqrt (sqrt (exp x)))))
29.0ms
(/ (* (/ 1 (sqrt (sqrt (exp x)))) (/ (cos y) (sqrt (sqrt (exp x))))) (pow E (/ x 2)))
20.0ms
(/ (cos y) (sqrt (sqrt (exp x))))
3.0ms
(pow E (/ x 2))

series348.0ms

Calls
4 calls:
Slowest
135.0ms
(/ (* (/ 1 (sqrt (sqrt (exp x)))) (/ (cos y) (sqrt (sqrt (exp x))))) (pow E (/ x 2)))
104.0ms
(/ (cos y) (sqrt (sqrt (exp x))))
84.0ms
(* (/ 1 (sqrt (sqrt (exp x)))) (/ (cos y) (sqrt (sqrt (exp x)))))
25.0ms
(pow E (/ x 2))

simplify30.3s

Calls
296 calls:
Slowest
886.0ms
(/ (* (/ (* (* 1 1) 1) (* (* (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x)))) (sqrt (sqrt (exp x))))) (/ (* (* (cos y) (cos y)) (cos y)) (* (* (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x)))) (sqrt (sqrt (exp x)))))) (* (* (pow E (/ x 2)) (pow E (/ x 2))) (pow E (/ x 2))))
819.0ms
(/ (* (* (* (/ 1 (sqrt (sqrt (exp x)))) (/ 1 (sqrt (sqrt (exp x))))) (/ 1 (sqrt (sqrt (exp x))))) (/ (* (* (cos y) (cos y)) (cos y)) (* (* (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x)))) (sqrt (sqrt (exp x)))))) (* (* (pow E (/ x 2)) (pow E (/ x 2))) (pow E (/ x 2))))
748.0ms
(/ (* (/ (* (* 1 1) 1) (* (* (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x)))) (sqrt (sqrt (exp x))))) (* (* (/ (cos y) (sqrt (sqrt (exp x)))) (/ (cos y) (sqrt (sqrt (exp x))))) (/ (cos y) (sqrt (sqrt (exp x)))))) (* (* (pow E (/ x 2)) (pow E (/ x 2))) (pow E (/ x 2))))
696.0ms
(/ (* (* (* (/ 1 (sqrt (sqrt (exp x)))) (/ (cos y) (sqrt (sqrt (exp x))))) (* (/ 1 (sqrt (sqrt (exp x)))) (/ (cos y) (sqrt (sqrt (exp x)))))) (* (/ 1 (sqrt (sqrt (exp x)))) (/ (cos y) (sqrt (sqrt (exp x)))))) (* (* (pow E (/ x 2)) (pow E (/ x 2))) (pow E (/ x 2))))
624.0ms
(/ (/ 1 (sqrt (sqrt (exp x)))) (pow (* (cbrt E) (cbrt E)) (/ x 2)))

prune4.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample5.1s

Algorithm
halfpoints
Results