Details

Time bar (total: 40.7s)

sample36.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
312
212
110
07

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

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:
17.0ms
(+ (exp x) (exp (- x)))
32.0ms
(/ 2 (+ (exp x) (exp (- x))))

series90.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ (exp x) (exp (- x)))
59.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify991.0ms

Counts
53 → 53
Iterations
IterNodes
43032
31095
2489
1199
090

prune453.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (exp x) (exp (- x))))
0.0b
(sqrt (+ (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)))))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
378×times-frac
306×*-un-lft-identity
232×sqrt-prod
192×add-sqr-sqrt
190×add-cube-cbrt
58×distribute-lft-out
30×associate-/l*
24×sqrt-div
20×associate-/r/
14×associate-/r*
12×flip3-+ flip-+
11×add-cbrt-cube add-exp-log
10×div-inv
6×pow1
4×cbrt-undiv div-exp insert-posit16 add-log-exp
2×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2
1×associate-/l/
Counts
4 → 321
Calls
4 calls:
25.0ms
(sqrt (+ (exp x) (exp (- x))))
27.0ms
(sqrt (+ (exp x) (exp (- x))))
49.0ms
(/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
33.0ms
(/ 2 (sqrt (+ (exp x) (exp (- x)))))

series355.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(sqrt (+ (exp x) (exp (- x))))
88.0ms
(sqrt (+ (exp x) (exp (- x))))
61.0ms
(/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
132.0ms
(/ 2 (sqrt (+ (exp x) (exp (- x)))))

simplify2.4s

Counts
333 → 333
Iterations
IterNodes
35680
21674
1734
0337

prune3.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

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

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
51×add-cbrt-cube add-exp-log
49×times-frac
42×add-sqr-sqrt
39×add-cube-cbrt
23×pow1
18×associate-*r* prod-exp cbrt-unprod
16×cbrt-undiv div-exp
15×distribute-lft-out
12×associate-/r*
9×associate-/l*
8×associate-/r/
6×pow-plus pow-prod-up
5×frac-times associate-*l/
4×flip3-+ flip-+ insert-posit16 div-inv add-log-exp
3×clear-num frac-2neg pow-prod-down associate-*r/
2×pow2 pow-sqr unswap-sqr
1×associate-*l* pow3 *-commutative
Counts
4 → 170
Calls
4 calls:
22.0ms
(/ 2 (+ (exp x) (exp (- x))))
17.0ms
(/ 2 (+ (exp x) (exp (- x))))
18.0ms
(/ 2 (+ (exp x) (exp (- x))))
149.0ms
(* (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) (/ 2 (+ (exp x) (exp (- x)))))

series259.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ 2 (+ (exp x) (exp (- x))))
44.0ms
(/ 2 (+ (exp x) (exp (- x))))
60.0ms
(/ 2 (+ (exp x) (exp (- x))))
96.0ms
(* (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) (/ 2 (+ (exp x) (exp (- x)))))

simplify3.6s

Counts
182 → 182
Iterations
IterNodes
35946
21702
1412
0154

prune1.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite351.0ms

Algorithm
rewrite-expression-head
Rules
2603×sqrt-prod
2289×times-frac
1484×add-sqr-sqrt
1461×*-un-lft-identity
975×add-cube-cbrt
486×associate-*r*
243×distribute-lft-out
112×unswap-sqr
66×associate-*l*
60×sqrt-div associate-/l*
52×associate-/r/
34×add-cbrt-cube add-exp-log
27×associate-/r*
26×flip3-+ flip-+ div-inv
14×cbrt-undiv div-exp
7×sqrt-undiv
6×pow1 prod-exp cbrt-unprod
4×insert-posit16 add-log-exp
3×clear-num frac-2neg
1×frac-times sqrt-unprod pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 1410
Calls
4 calls:
21.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
18.0ms
(/ (sqrt 2) (sqrt (sqrt (+ (exp x) (exp (- x))))))
172.0ms
(* (/ (sqrt 2) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))))
67.0ms
(/ (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))

series874.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
280.0ms
(/ (sqrt 2) (sqrt (sqrt (+ (exp x) (exp (- x))))))
122.0ms
(* (/ (sqrt 2) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))))
307.0ms
(/ (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))

simplify2.2s

Counts
1422 → 1422
Iterations
IterNodes
12907
0887

prune22.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
212
112
010

end0.0ms

sample707.0ms

Algorithm
intervals
Results
600.0ms8000×body80valid