Details

Time bar (total: 5.7s)

sample115.0ms

Algorithm
halfpoints

simplify58.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0307
1477
2847
31317
42237
54667
611237
722447
850027
done50027

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
17×add-sqr-sqrt
16×associate-*l*
13×times-frac
12×add-cube-cbrt
7×add-exp-log add-cbrt-cube
4×pow1 distribute-lft-out add-log-exp
3×fma-def associate-*r*
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv
Counts
2 → 54
Calls
2 calls:
12.0ms
(+ (exp x) (exp (- x)))
54.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series94.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ (exp x) (exp (- x)))
69.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify163.0ms

Counts
60 → 60
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0286487
11053428
24913426
35001426
done5001426

prune164.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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)))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
48×sqrt-prod
38×times-frac
36×add-sqr-sqrt
30×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×expm1-log1p-u rem-sqrt-square log1p-expm1-u
3×fma-def 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 → 116
Calls
4 calls:
12.0ms
(+ (exp x) (exp (- x)))
20.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
20.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
104.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

series366.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (exp x) (exp (- x)))
105.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
105.0ms
(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
132.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

simplify42.0ms

Counts
128 → 128
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
04021396
113881234
250011214
done50011214

prune415.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))) (cbrt (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))))
0.3b
(cbrt (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
0.3b
(cbrt (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
0.3b
(cbrt (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))

rewrite269.0ms

Algorithm
rewrite-expression-head
Rules
44×sqrt-div
36×associate-*l/
33×cbrt-div
20×frac-times
14×associate-*r/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 90
Calls
4 calls:
68.0ms
(* (cbrt (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))) (cbrt (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))))
65.0ms
(cbrt (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
65.0ms
(cbrt (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
67.0ms
(cbrt (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))

series1.2s

Counts
4 → 12
Calls
4 calls:
335.0ms
(* (cbrt (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))) (cbrt (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))))
278.0ms
(cbrt (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
280.0ms
(cbrt (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
276.0ms
(cbrt (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))

simplify151.0ms

Counts
102 → 102
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
02752461
19992182
246911995
350011995
done50011995

prune358.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127
1127
done127

end0.0ms

sample2.0s

Algorithm
halfpoints