Details

Time bar (total: 34.7s)

sample18.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify20.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
20.0ms
(/ 2 (+ (exp x) (exp (- x))))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-exp-log add-log-exp
3×associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+ insert-posit16
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
2 → 47
Calls
2 calls:
Slowest
16.0ms
(/ 2 (+ (exp x) (exp (- x))))
9.0ms
(+ (exp x) (exp (- x)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
46.0ms
(+ (exp x) (exp (- x)))
41.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify1.9s

Counts
42 → 53
Calls
42 calls:
Slowest
489.0ms
(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
200.0ms
(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
129.0ms
(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
101.0ms
(/ 2 (+ (exp (* -1 x)) (exp x)))
83.0ms
(/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))

prune509.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
133×*-un-lft-identity
100×times-frac
79×add-sqr-sqrt
67×add-cube-cbrt
30×distribute-lft-out
24×swap-sqr
22×add-cbrt-cube add-exp-log
18×associate-*r* associate-*l*
14×associate-/r/
12×associate-/r*
11×pow1
9×associate-/l*
7×cbrt-undiv flip3-+ div-exp flip-+ div-inv
4×prod-exp cbrt-unprod insert-posit16 add-log-exp unswap-sqr
3×clear-num frac-2neg
1×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 191
Calls
4 calls:
Slowest
82.0ms
(* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x)))))
32.0ms
(/ 2 (+ (exp x) (exp (- x))))
21.0ms
(/ 2 (+ (exp x) (exp (- x))))
16.0ms
(/ 2 (+ (exp x) (exp (- x))))

series225.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
70.0ms
(* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x)))))
56.0ms
(/ 2 (+ (exp x) (exp (- x))))
49.0ms
(/ 2 (+ (exp x) (exp (- x))))
49.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify14.2s

Counts
222 → 203
Calls
222 calls:
Slowest
528.0ms
(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
520.0ms
(* (/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))))
511.0ms
(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
456.0ms
(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
454.0ms
(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))

prune2.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

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)))))

rewrite65.0ms

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
22.0ms
(/ 2 (+ (exp x) (exp (- x))))
16.0ms
(/ 2 (+ (exp x) (exp (- x))))
16.0ms
(/ 2 (+ (exp x) (exp (- x))))
8.0ms
(cbrt (/ 2 (+ (exp x) (exp (- x)))))

series395.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
267.0ms
(cbrt (/ 2 (+ (exp x) (exp (- x)))))
47.0ms
(/ 2 (+ (exp x) (exp (- x))))
42.0ms
(/ 2 (+ (exp x) (exp (- x))))
39.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify6.3s

Counts
133 → 142
Calls
133 calls:
Slowest
511.0ms
(* (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3) (cbrt 2))
448.0ms
(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
433.0ms
(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
383.0ms
(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
211.0ms
(cbrt (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))))

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(log (exp (/ 2 (+ (exp x) (exp (- x))))))
0.0b
(/ 2 (+ (exp x) (exp (- x))))
0.0b
(exp (/ 2 (+ (exp x) (exp (- x)))))
0.0b
(+ (exp x) (exp (- x)))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
36×exp-prod times-frac
30×add-sqr-sqrt add-cube-cbrt
19×log-pow
11×distribute-lft-out
7×add-log-exp
6×add-cbrt-cube add-exp-log associate-/r/
5×pow1
4×associate-/r* flip3-+ flip-+ insert-posit16
3×log-prod div-inv associate-/l*
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp rem-log-exp rem-exp-log
Counts
4 → 105
Calls
4 calls:
Slowest
49.0ms
(log (exp (/ 2 (+ (exp x) (exp (- x))))))
44.0ms
(exp (/ 2 (+ (exp x) (exp (- x)))))
24.0ms
(/ 2 (+ (exp x) (exp (- x))))
18.0ms
(+ (exp x) (exp (- x)))

series241.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
88.0ms
(exp (/ 2 (+ (exp x) (exp (- x)))))
60.0ms
(log (exp (/ 2 (+ (exp x) (exp (- x))))))
47.0ms
(+ (exp x) (exp (- x)))
45.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify4.4s

Counts
88 → 117
Calls
88 calls:
Slowest
408.0ms
(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
316.0ms
(- (+ (* 1/3 (* (pow x 4) E)) E) (* 1/2 (* (pow x 2) E)))
256.0ms
(exp (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))))
193.0ms
(exp (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))))
181.0ms
(exp (/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))))

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch3.0ms

end0.0ms

sample817.0ms

Algorithm
intervals
Results
691.0ms8000×body80valid