Details

Time bar (total: 10.8s)

sample21.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify15.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ 2 (+ (exp x) (exp (- x))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
Slowest
15.0ms
(/ 2 (+ (exp x) (exp (- x))))

series51.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
51.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify383.0ms

Counts
50 → 37

prune251.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2 (+ (exp x) (exp (- x))))
0.0b
(/ 2 (+ (exp x) (exp (- x))))
0.0b
(* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
119×*-un-lft-identity
98×sqrt-prod
90×times-frac
89×add-sqr-sqrt
61×add-cube-cbrt
29×swap-sqr
26×distribute-lft-out
21×associate-*r* associate-*l*
18×pow1
12×associate-/r/
9×add-cbrt-cube add-exp-log unswap-sqr
8×associate-/r* sqrt-pow1 pow1/2
6×flip3-+ flip-+ div-inv associate-/l*
5×pow-prod-up
4×sqrt-div
3×pow-prod-down pow-sqr insert-posit16 add-log-exp
2×cbrt-undiv clear-num frac-2neg div-exp
1×pow2 frac-times rem-square-sqrt pow-plus sqrt-unprod associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
3 → 177
Calls
3 calls:
Slowest
67.0ms
(* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))
15.0ms
(/ 2 (+ (exp x) (exp (- x))))
15.0ms
(/ 2 (+ (exp x) (exp (- x))))

series221.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
140.0ms
(* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))
45.0ms
(/ 2 (+ (exp x) (exp (- x))))
36.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify391.0ms

Counts
248 → 186

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))))
0.0b
(/ 2 (+ (exp x) (exp (- x))))
0.0b
(/ 2 (+ (exp x) (exp (- x))))
0.0b
(/ 2 (+ (exp x) (exp (- x))))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
141×*-un-lft-identity
124×cbrt-prod
119×add-sqr-sqrt
104×times-frac
102×sqrt-prod
75×add-cube-cbrt
32×swap-sqr
30×distribute-lft-out
24×associate-*r* associate-*l*
16×unswap-sqr
14×associate-/r/
12×associate-/r* add-exp-log
11×pow1
10×add-cbrt-cube
9×associate-/l*
7×flip3-+ flip-+ div-inv
6×pow1/3
4×cbrt-div sqrt-div insert-posit16 add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 220
Calls
4 calls:
Slowest
66.0ms
(* (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))))
20.0ms
(/ 2 (+ (exp x) (exp (- x))))
15.0ms
(/ 2 (+ (exp x) (exp (- x))))
15.0ms
(/ 2 (+ (exp x) (exp (- x))))

series465.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
361.0ms
(* (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))) (cbrt (sqrt (/ 2 (+ (exp x) (exp (- x)))))))
38.0ms
(/ 2 (+ (exp x) (exp (- x))))
34.0ms
(/ 2 (+ (exp x) (exp (- x))))
33.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify541.0ms

Counts
318 → 232

prune3.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2 (+ (exp x) (exp (- x))))
0.0b
(/ 2 (+ (exp x) (exp (- x))))
0.0b
(/ 2 (+ (exp x) (exp (- x))))
0.0b
(cbrt (/ 2 (+ (exp x) (exp (- x)))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
48×times-frac
39×add-sqr-sqrt add-cube-cbrt
18×cbrt-prod
15×distribute-lft-out
12×associate-/r*
10×add-cbrt-cube add-exp-log
9×associate-/l*
8×associate-/r/
4×pow1 flip3-+ flip-+ insert-posit16 div-inv add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp
1×cbrt-div pow1/3
Counts
4 → 130
Calls
4 calls:
Slowest
18.0ms
(/ 2 (+ (exp x) (exp (- x))))
15.0ms
(/ 2 (+ (exp x) (exp (- x))))
15.0ms
(/ 2 (+ (exp x) (exp (- x))))
7.0ms
(cbrt (/ 2 (+ (exp x) (exp (- x)))))

series392.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
251.0ms
(cbrt (/ 2 (+ (exp x) (exp (- x)))))
56.0ms
(/ 2 (+ (exp x) (exp (- x))))
44.0ms
(/ 2 (+ (exp x) (exp (- x))))
40.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify698.0ms

Counts
199 → 142

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample707.0ms

Algorithm
intervals
Results
597.0ms8000×body80valid