Details

Time bar (total: 17.8s)

sample184.0ms

Algorithm
halfpoints

simplify80.0ms

Counts
1 → 1

prune40.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
16×add-sqr-sqrt associate-*l*
13×times-frac
11×add-cube-cbrt
7×add-exp-log add-cbrt-cube
4×pow1 distribute-lft-out add-log-exp
3×associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv
Counts
2 → 47
Calls
2 calls:
21.0ms
(+ (exp x) (exp (- x)))
85.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series123.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ (exp x) (exp (- x)))
98.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify64.0ms

Counts
53 → 53

prune201.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

rewrite251.0ms

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity
48×sqrt-prod
38×times-frac
35×add-sqr-sqrt
29×add-cube-cbrt
19×associate-*l*
11×pow1
10×distribute-lft-out
9×add-exp-log add-cbrt-cube
6×sqrt-div add-log-exp
4×rem-sqrt-square
3×pow-prod-down associate-*l/ prod-exp cbrt-unprod div-inv
2×sqrt-pow1 pow1/2
1×+-commutative frac-times flip3-+ associate-*r/ associate-*r* sum-log *-commutative flip-+
Counts
4 → 105
Calls
4 calls:
12.0ms
(+ (exp x) (exp (- x)))
22.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
27.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
186.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

series461.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (exp x) (exp (- x)))
141.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
152.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
143.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

simplify96.0ms

Counts
117 → 117

prune673.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
0.0b
(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
0.0b
(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))) (* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
0.0b
(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

rewrite780.0ms

Algorithm
rewrite-expression-head
Rules
286×sqrt-prod
172×*-un-lft-identity
168×times-frac
120×add-sqr-sqrt add-cube-cbrt
98×associate-*l*
26×distribute-lft-out
22×add-exp-log add-cbrt-cube
20×sqrt-div
18×pow1
14×associate-/l*
12×associate-/r*
10×associate-*l/
9×pow-prod-down prod-exp cbrt-unprod
6×frac-times associate-*r/
4×div-inv associate-/l/ add-log-exp
2×cbrt-undiv sqrt-undiv frac-2neg flip3-+ div-exp associate-*r* clear-num *-commutative flip-+
Counts
4 → 281
Calls
4 calls:
62.0ms
(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
48.0ms
(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
452.0ms
(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))) (* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
185.0ms
(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

series1.0s

Counts
4 → 12
Calls
4 calls:
182.0ms
(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
192.0ms
(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
202.0ms
(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))) (* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
444.0ms
(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

simplify104.0ms

Counts
293 → 293

prune1.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize98.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))) (* (sqrt (* (/ (fabs (cbrt (+ (exp x) (exp (- x))))) (* (sqrt (sqrt 2.0)) 1)) (/ (sqrt (cbrt (+ (exp x) (exp (- x))))) (sqrt (sqrt 2.0))))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
0.0b
(/ (sqrt (cbrt (+ (exp x) (exp (- x))))) (sqrt (sqrt 2.0)))
1.0b
(cbrt (+ (exp x) (exp (- x))))
1.0b
(cbrt (+ (exp x) (exp (- x))))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
260×sqrt-prod
133×*-un-lft-identity
132×times-frac
97×add-sqr-sqrt add-cube-cbrt
49×associate-*l*
48×cbrt-prod
30×sqrt-div
19×associate-*l/
18×distribute-lft-out
17×frac-times
15×add-exp-log add-cbrt-cube
13×pow1 associate-*r/
10×associate-/l*
9×associate-/r*
6×cbrt-div pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×flip3-+ flip-+
2×pow1/3 div-inv associate-/l/
1×cbrt-undiv sqrt-undiv frac-2neg div-exp associate-*r* clear-num *-commutative
Counts
4 → 234
Calls
4 calls:
1.3s
(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))) (* (sqrt (* (/ (fabs (cbrt (+ (exp x) (exp (- x))))) (* (sqrt (sqrt 2.0)) 1)) (/ (sqrt (cbrt (+ (exp x) (exp (- x))))) (sqrt (sqrt 2.0))))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
75.0ms
(/ (sqrt (cbrt (+ (exp x) (exp (- x))))) (sqrt (sqrt 2.0)))
19.0ms
(cbrt (+ (exp x) (exp (- x))))
19.0ms
(cbrt (+ (exp x) (exp (- x))))

series1.3s

Counts
4 → 12
Calls
4 calls:
467.0ms
(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))) (* (sqrt (* (/ (fabs (cbrt (+ (exp x) (exp (- x))))) (* (sqrt (sqrt 2.0)) 1)) (/ (sqrt (cbrt (+ (exp x) (exp (- x))))) (sqrt (sqrt 2.0))))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
378.0ms
(/ (sqrt (cbrt (+ (exp x) (exp (- x))))) (sqrt (sqrt 2.0)))
237.0ms
(cbrt (+ (exp x) (exp (- x))))
180.0ms
(cbrt (+ (exp x) (exp (- x))))

simplify116.0ms

Counts
246 → 246

prune2.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes92.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify166.0ms

end0.0ms

sample6.2s

Algorithm
halfpoints