Details

Time bar (total: 28.8s)

sample23.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
210
110
07

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

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:
21.0ms
(/ 2 (+ (exp x) (exp (- x))))

series43.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify1.5s

Counts
37 → 37
Iterations
IterNodes
42501
3951
2418
1166
077

prune368.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
54×cbrt-prod
48×times-frac
37×add-sqr-sqrt add-cube-cbrt
13×distribute-lft-out
8×associate-/r/
6×add-cbrt-cube add-exp-log
4×pow1 associate-/r* flip3-+ flip-+ insert-posit16 div-inv add-log-exp
3×cbrt-div pow1/3 associate-/l*
1×cbrt-undiv clear-num frac-2neg div-exp
Counts
4 → 118
Calls
4 calls:
19.0ms
(/ 2 (+ (exp x) (exp (- x))))
8.0ms
(cbrt (/ 2 (+ (exp x) (exp (- x)))))
7.0ms
(cbrt (/ 2 (+ (exp x) (exp (- x)))))
8.0ms
(cbrt (/ 2 (+ (exp x) (exp (- x)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ 2 (+ (exp x) (exp (- x))))
594.0ms
(cbrt (/ 2 (+ (exp x) (exp (- x)))))
243.0ms
(cbrt (/ 2 (+ (exp x) (exp (- x)))))
236.0ms
(cbrt (/ 2 (+ (exp x) (exp (- x)))))

simplify4.2s

Counts
130 → 130
Iterations
IterNodes
47427
31906
2656
1260
0130

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (exp x) (exp x))
0.0b
(* (exp x) (exp x))
0.0b
(/ (/ 8 (/ (+ (* (exp x) (exp x)) 1) (exp x))) (* (/ (+ (* (exp x) (exp x)) 1) (exp x)) (/ (+ (* (exp x) (exp x)) 1) (exp x))))
0.0b
(* (/ (+ (* (exp x) (exp x)) 1) (exp x)) (/ (+ (* (exp x) (exp x)) 1) (exp x)))

rewrite263.0ms

Algorithm
rewrite-expression-head
Rules
216×times-frac
138×add-sqr-sqrt
122×*-un-lft-identity add-cube-cbrt
89×add-cbrt-cube
64×add-exp-log
46×cbrt-undiv div-exp
44×associate-/l*
36×exp-prod
25×pow1
19×swap-sqr associate-*r* associate-*l*
18×prod-exp cbrt-unprod
13×div-inv
9×pow-prod-down pow-sqr pow-prod-up
6×unswap-sqr
5×associate-/r/
4×insert-posit16 add-log-exp
3×pow2 pow-plus *-commutative
2×frac-times associate-*l/ associate-*r/
1×clear-num associate-/r* frac-2neg associate-/l/
Counts
4 → 272
Calls
4 calls:
24.0ms
(* (exp x) (exp x))
23.0ms
(* (exp x) (exp x))
86.0ms
(/ (/ 8 (/ (+ (* (exp x) (exp x)) 1) (exp x))) (* (/ (+ (* (exp x) (exp x)) 1) (exp x)) (/ (+ (* (exp x) (exp x)) 1) (exp x))))
121.0ms
(* (/ (+ (* (exp x) (exp x)) 1) (exp x)) (/ (+ (* (exp x) (exp x)) 1) (exp x)))

series244.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (exp x) (exp x))
16.0ms
(* (exp x) (exp x))
118.0ms
(/ (/ 8 (/ (+ (* (exp x) (exp x)) 1) (exp x))) (* (/ (+ (* (exp x) (exp x)) 1) (exp x)) (/ (+ (* (exp x) (exp x)) 1) (exp x))))
93.0ms
(* (/ (+ (* (exp x) (exp x)) 1) (exp x)) (/ (+ (* (exp x) (exp x)) 1) (exp x)))

simplify15.4s

Counts
284 → 284
Iterations
IterNodes
27738
11549
0419

prune3.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
28
18
07

end0.0ms

sample709.0ms

Algorithm
intervals
Results
588.0ms8000×body80valid