Details

Time bar (total: 6.8s)

sample23.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify2.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(/ 2.0 (+ (exp x) (exp (- x))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
Calls
2 calls:
18.0ms
(+ (exp x) (exp (- x)))
33.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series98.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (exp x) (exp (- x)))
65.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify38.0ms

Counts
51 → 51

prune162.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite253.0ms

Algorithm
rewrite-expression-head
Rules
122×*-un-lft-identity
98×sqrt-prod
90×add-sqr-sqrt times-frac
62×add-cube-cbrt
29×swap-sqr
27×distribute-lft-out
21×associate-*r* associate-*l*
19×pow1
12×associate-/r/
10×add-exp-log add-cbrt-cube
9×unswap-sqr
8×sqrt-pow1 pow1/2 associate-/r*
7×flip3-+ flip-+
6×div-inv associate-/l* add-log-exp
5×pow-prod-up
4×sqrt-div
3×pow-prod-down pow-sqr
2×cbrt-undiv frac-2neg div-exp clear-num
1×+-commutative pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 186
Calls
4 calls:
14.0ms
(+ (exp x) (exp (- x)))
155.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
34.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
39.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series305.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(+ (exp x) (exp (- x)))
143.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
61.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
56.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify124.0ms

Counts
198 → 198

prune531.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.0b
(/ 2.0 (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)))
0.1b
(* 1/12 (pow x 4))
5.8b
(sqrt (/ 2.0 (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))))

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
55×*-un-lft-identity
41×add-sqr-sqrt
37×times-frac
33×add-cube-cbrt
18×sqrt-prod
13×add-exp-log
11×distribute-lft-out
10×add-cbrt-cube
8×associate-/r*
7×associate-*r*
6×associate-/r/ associate-/l*
5×pow1
4×unpow-prod-down add-log-exp
3×flip3-+ associate-*l* prod-exp flip-+ div-inv unswap-sqr
2×cbrt-undiv rem-sqrt-square frac-2neg div-exp clear-num sqr-pow
1×pow-to-exp sqrt-pow1 pow1/2 sqrt-div pow-exp *-commutative cbrt-unprod
Counts
4 → 121
Calls
4 calls:
34.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
55.0ms
(/ 2.0 (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)))
17.0ms
(* 1/12 (pow x 4))
53.0ms
(sqrt (/ 2.0 (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))))

series446.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
100.0ms
(/ 2.0 (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)))
60.0ms
(* 1/12 (pow x 4))
232.0ms
(sqrt (/ 2.0 (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))))

simplify50.0ms

Counts
133 → 133

prune601.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))))
0.0b
(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.5b
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

rewrite603.0ms

Algorithm
rewrite-expression-head
Rules
776×times-frac
681×sqrt-prod
582×*-un-lft-identity
446×add-sqr-sqrt
360×add-cube-cbrt
198×associate-*r*
111×distribute-lft-out
40×sqrt-div associate-/r/
33×associate-/l*
24×unswap-sqr
21×associate-*l*
20×flip3-+ flip-+ div-inv
18×associate-/r*
15×add-exp-log add-cbrt-cube
8×pow1
5×cbrt-undiv div-exp
4×add-log-exp
3×frac-2neg pow-prod-down clear-num
2×sqrt-pow1 pow1/2
1×frac-times sqrt-unprod associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod associate-/l/
Counts
4 → 578
Calls
4 calls:
364.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))))
84.0ms
(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
38.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
35.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

series339.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))))
57.0ms
(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
42.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
102.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

simplify142.0ms

Counts
590 → 590

prune1.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify74.0ms

end0.0ms

sample944.0ms

Algorithm
intervals
Results
752.0ms8000×body80valid