Details

Time bar (total: 1.2m)

sample23.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
312
212
110
07

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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:
18.0ms
(+ (exp x) (exp (- x)))
30.0ms
(/ 2 (+ (exp x) (exp (- x))))

series83.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(+ (exp x) (exp (- x)))
59.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify1.2s

Counts
53 → 53
Iterations
IterNodes
43032
31095
2489
1199
090

prune461.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(+ (exp x) (exp (- x)))
0.0b
(/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
0.4b
(/ 2 (sqrt (+ (exp x) (exp (- x)))))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
378×times-frac
304×*-un-lft-identity
224×sqrt-prod
188×add-sqr-sqrt add-cube-cbrt
58×distribute-lft-out
30×associate-/l*
20×sqrt-div associate-/r/
14×associate-/r*
12×flip3-+ flip-+
11×add-cbrt-cube add-exp-log
10×div-inv
8×add-log-exp
4×pow1 cbrt-undiv div-exp insert-posit16
2×+-commutative clear-num sum-log frac-2neg
1×associate-/l/
Counts
4 → 313
Calls
4 calls:
10.0ms
(+ (exp x) (exp (- x)))
10.0ms
(+ (exp x) (exp (- x)))
66.0ms
(/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
24.0ms
(/ 2 (sqrt (+ (exp x) (exp (- x)))))

series228.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (exp x) (exp (- x)))
36.0ms
(+ (exp x) (exp (- x)))
47.0ms
(/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
119.0ms
(/ 2 (sqrt (+ (exp x) (exp (- x)))))

simplify2.1s

Counts
325 → 325
Iterations
IterNodes
35310
21628
1730
0333

prune3.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (sqrt (+ (exp x) (exp (- x)))))
0.0b
(/ (/ (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))
0.4b
(/ 2 (sqrt (sqrt (+ (exp x) (exp (- x))))))
0.4b
(/ (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))

rewrite519.0ms

Algorithm
rewrite-expression-head
Rules
8562×times-frac
8102×sqrt-prod
5506×*-un-lft-identity
3568×add-sqr-sqrt
3566×add-cube-cbrt
970×distribute-lft-out
410×sqrt-div
405×associate-/l*
204×associate-/r/
103×flip3-+ flip-+
102×div-inv
27×associate-/r*
20×add-cbrt-cube add-exp-log
10×cbrt-undiv div-exp
6×pow1
4×sqrt-pow1 insert-posit16 add-log-exp
3×clear-num frac-2neg
2×rem-sqrt-square pow1/2 associate-/l/
Counts
4 → 3460
Calls
4 calls:
14.0ms
(sqrt (sqrt (+ (exp x) (exp (- x)))))
91.0ms
(/ (/ (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))
23.0ms
(/ 2 (sqrt (sqrt (+ (exp x) (exp (- x))))))
89.0ms
(/ (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))

series584.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(sqrt (sqrt (+ (exp x) (exp (- x)))))
39.0ms
(/ (/ (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))
246.0ms
(/ 2 (sqrt (sqrt (+ (exp x) (exp (- x))))))
133.0ms
(/ (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))

simplify4.7s

Counts
3472 → 3472
Iterations
IterNodes
14367
01990

prune49.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ 2 (/ (+ (* (exp x) (exp x)) 1) (exp x))) (/ 2 (/ (+ (* (exp x) (exp x)) 1) (exp x))))
0.4b
(/ (+ (* (exp x) (exp x)) 1) (exp x))
0.4b
(/ (+ (* (exp x) (exp x)) 1) (exp x))
0.4b
(/ (+ (* (exp x) (exp x)) 1) (exp x))

rewrite331.0ms

Algorithm
rewrite-expression-head
Rules
309×times-frac
204×add-sqr-sqrt
168×*-un-lft-identity add-cube-cbrt
46×add-cbrt-cube
44×swap-sqr associate-*r* associate-*l*
37×add-exp-log
21×cbrt-undiv div-exp
19×div-inv
11×pow1
9×associate-/r* prod-exp cbrt-unprod associate-/l* unswap-sqr
6×associate-/l/
4×associate-/r/ insert-posit16 add-log-exp
3×clear-num frac-2neg flip3-+ flip-+
1×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 266
Calls
4 calls:
158.0ms
(* (/ 2 (/ (+ (* (exp x) (exp x)) 1) (exp x))) (/ 2 (/ (+ (* (exp x) (exp x)) 1) (exp x))))
65.0ms
(/ (+ (* (exp x) (exp x)) 1) (exp x))
47.0ms
(/ (+ (* (exp x) (exp x)) 1) (exp x))
50.0ms
(/ (+ (* (exp x) (exp x)) 1) (exp x))

series282.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* (/ 2 (/ (+ (* (exp x) (exp x)) 1) (exp x))) (/ 2 (/ (+ (* (exp x) (exp x)) 1) (exp x))))
42.0ms
(/ (+ (* (exp x) (exp x)) 1) (exp x))
67.0ms
(/ (+ (* (exp x) (exp x)) 1) (exp x))
75.0ms
(/ (+ (* (exp x) (exp x)) 1) (exp x))

simplify2.7s

Counts
278 → 278
Iterations
IterNodes
26667
11397
0360

prune2.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
212
112
011

end0.0ms

sample702.0ms

Algorithm
intervals
Results
590.0ms8000×body80valid