Details

Time bar (total: 41.4s)

sample25.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify27.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
27.0ms
(/ 2 (+ (exp x) (exp (- x))))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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
28.0ms
(/ 2 (+ (exp x) (exp (- x))))
19.0ms
(+ (exp x) (exp (- x)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
53.0ms
(/ 2 (+ (exp x) (exp (- x))))
36.0ms
(+ (exp x) (exp (- x)))

simplify2.3s

Counts
42 → 53
Calls
42 calls:
Slowest
502.0ms
(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
391.0ms
(* (exp (exp x)) (exp (exp (- x))))
194.0ms
(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
129.0ms
(/ 2 (+ (exp (* -1 x)) (exp x)))
124.0ms
(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))

prune464.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.4b
(- (log 2) (log (+ (exp x) (exp (- x)))))
0.3b
(log (+ (exp x) (exp (- x))))
0.0b
(exp (- (log 2) (log (+ (exp x) (exp (- x))))))
0.0b
(+ (exp x) (exp (- x)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
14×log-prod
13×add-sqr-sqrt pow1
9×log-pow add-cube-cbrt
8×exp-prod distribute-lft-out--
7×exp-sum add-log-exp
6×log-div associate--l+
5×add-exp-log
4×flip3-+ add-cbrt-cube flip-+ insert-posit16 associate--r+ associate--r-
3×distribute-lft-out
2×sub-neg diff-log difference-of-squares rem-exp-log
1×+-commutative sum-log flip3-- exp-diff rem-log-exp flip--
Counts
4 → 82
Calls
4 calls:
Slowest
31.0ms
(exp (- (log 2) (log (+ (exp x) (exp (- x))))))
18.0ms
(+ (exp x) (exp (- x)))
14.0ms
(- (log 2) (log (+ (exp x) (exp (- x)))))
8.0ms
(log (+ (exp x) (exp (- x))))

series805.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
385.0ms
(- (log 2) (log (+ (exp x) (exp (- x)))))
298.0ms
(exp (- (log 2) (log (+ (exp x) (exp (- x))))))
92.0ms
(log (+ (exp x) (exp (- x))))
30.0ms
(+ (exp x) (exp (- x)))

simplify3.2s

Counts
54 → 94
Calls
54 calls:
Slowest
390.0ms
(- (* 1/12 (pow x 4)) (+ (* 1/2 (pow x 2)) (* 1/45 (pow x 6))))
282.0ms
(exp (- (log 2) (log (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))))
253.0ms
(exp (- (log 2) (log (+ (pow (exp x) 3) (pow (exp (- x)) 3)))))
197.0ms
(log (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))
191.0ms
(log (+ (pow (exp x) 3) (pow (exp (- x)) 3)))

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (/ 8 (* (+ (exp (- x)) (exp x)) (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))))))
0.0b
(/ 8 (* (+ (exp (- x)) (exp x)) (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x)))))
0.0b
(* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x)))
0.0b
(+ (exp (- x)) (exp x))

rewrite407.0ms

Algorithm
rewrite-expression-head
Rules
61×flip3-+ flip-+
60×frac-times
52×associate-/r/
33×cbrt-prod
30×associate-*r/
28×*-un-lft-identity
18×associate-*l/
15×add-cbrt-cube add-exp-log
14×add-sqr-sqrt
12×add-cube-cbrt
11×pow1
7×distribute-lft-out
6×times-frac swap-sqr add-log-exp
4×associate-*r* associate-*l* prod-exp cbrt-unprod insert-posit16
3×cbrt-undiv div-exp associate-/l*
2×div-inv
1×pow2 distribute-rgt-in +-commutative cbrt-div clear-num associate-/r* sum-log frac-2neg distribute-lft-in pow-plus pow1/3 pow-prod-down pow-sqr *-commutative pow-prod-up unswap-sqr
Counts
4 → 147
Calls
4 calls:
Slowest
140.0ms
(/ 8 (* (+ (exp (- x)) (exp x)) (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x)))))
123.0ms
(cbrt (/ 8 (* (+ (exp (- x)) (exp x)) (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))))))
120.0ms
(* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x)))
20.0ms
(+ (exp (- x)) (exp x))

series221.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
82.0ms
(/ 8 (* (+ (exp (- x)) (exp x)) (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x)))))
54.0ms
(* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x)))
43.0ms
(+ (exp (- x)) (exp x))
42.0ms
(cbrt (/ 8 (* (+ (exp (- x)) (exp x)) (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))))))

simplify25.6s

Counts
131 → 159
Calls
131 calls:
Slowest
929.0ms
(cbrt (/ 8 (* (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp x))) (* (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp x))) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp x)))))))
881.0ms
(cbrt (/ 8 (* (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp x))) (* (+ (exp (- x)) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp x)))))))
876.0ms
(cbrt (/ 8 (* (+ (exp (- x)) (exp x)) (* (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp x))) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp x)))))))
771.0ms
(/ (* (* 8 8) 8) (* (* (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))) (+ (exp (- x)) (exp x))) (* (* (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))) (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x)))) (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))))))
732.0ms
(* (+ (* (exp (- x)) (exp (- x))) (- (* (exp x) (exp x)) (* (exp (- x)) (exp x)))) (* (+ (* (exp (- x)) (exp (- x))) (- (* (exp x) (exp x)) (* (exp (- x)) (exp x)))) (- (exp (- x)) (exp x))))

prune2.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.3b
(log (exp (/ 2 (+ (exp x) (exp (- x))))))
0.0b
(/ 2 (+ (exp x) (exp (- x))))
0.0b
(+ (exp x) (exp (- x)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
24×times-frac
21×add-sqr-sqrt add-cube-cbrt
19×log-pow
18×exp-prod
8×distribute-lft-out
5×add-cbrt-cube add-exp-log add-log-exp
4×pow1 associate-/r* associate-/r/
3×log-prod flip3-+ flip-+ insert-posit16 associate-/l*
2×div-inv
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp rem-log-exp
Counts
3 → 78
Calls
3 calls:
Slowest
37.0ms
(log (exp (/ 2 (+ (exp x) (exp (- x))))))
18.0ms
(/ 2 (+ (exp x) (exp (- x))))
10.0ms
(+ (exp x) (exp (- x)))

series128.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
52.0ms
(/ 2 (+ (exp x) (exp (- x))))
38.0ms
(log (exp (/ 2 (+ (exp x) (exp (- x))))))
37.0ms
(+ (exp x) (exp (- x)))

simplify2.8s

Counts
66 → 87
Calls
66 calls:
Slowest
449.0ms
(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
217.0ms
(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
172.0ms
(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
153.0ms
(/ 2 (+ (exp (* -1 x)) (exp x)))
99.0ms
(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))

prune982.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes146.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample706.0ms

Algorithm
intervals
Results
594.0ms8000×body80valid