Details

Time bar (total: 13.7s)

sample22.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1108
2128
done128

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(/ 2.0 (+ (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×add-exp-log associate-/r* add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
Calls
2 calls:
14.0ms
(+ (exp x) (exp (- x)))
33.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series85.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (exp x) (exp (- x)))
49.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify2.6s

Counts
51 → 51
Iterations

Useful iterations: 3 (290.0ms)

IterNodesCost
090649
1190620
2439568
3859566
43442566
done5001566

prune125.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
0.0b
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.0b
(/ 2.0 (+ (exp x) (exp (- x))))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
134×*-un-lft-identity
116×sqrt-prod
103×times-frac
101×add-sqr-sqrt
70×add-cube-cbrt
29×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
20×pow1
14×associate-/r/
10×add-exp-log add-cbrt-cube
9×sqrt-pow1 pow1/2 unswap-sqr
8×associate-/r*
7×flip3-+ flip-+ div-inv
6×associate-/l*
5×sqrt-div pow-prod-up
4×add-log-exp
3×pow-prod-down pow-sqr
2×cbrt-undiv rem-sqrt-square frac-2neg div-exp clear-num
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 204
Calls
4 calls:
34.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
121.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
27.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
29.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series365.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
130.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
56.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
60.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify2.3s

Counts
216 → 216
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02284477
14153279
212763066
338462988
done50002927

prune677.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2.0 (+ (exp (- x)) (exp x)))
0.0b
(/ (sqrt 2.0) (+ (exp x) (exp (- x))))
0.5b
(sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))
0.5b
(* (* (sqrt (/ 2.0 (+ (exp (- x)) (exp x)))) (sqrt (sqrt 2.0))) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))))

rewrite298.0ms

Algorithm
rewrite-expression-head
Rules
107×*-un-lft-identity
100×sqrt-prod
86×times-frac
66×add-sqr-sqrt
61×add-cube-cbrt
33×associate-*r*
23×distribute-lft-out
13×pow1 add-exp-log add-cbrt-cube
9×associate-/l*
8×associate-/r* associate-/r/
7×pow-prod-down
5×sqrt-div
4×sqrt-pow1 flip3-+ pow1/2 flip-+ div-inv add-log-exp
3×rem-sqrt-square associate-*l/ prod-exp cbrt-unprod
2×cbrt-undiv frac-2neg sqrt-unprod div-exp clear-num
1×frac-times associate-*r/ associate-*l* *-commutative
Counts
4 → 178
Calls
4 calls:
30.0ms
(/ 2.0 (+ (exp (- x)) (exp x)))
25.0ms
(/ (sqrt 2.0) (+ (exp x) (exp (- x))))
33.0ms
(sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))
202.0ms
(* (* (sqrt (/ 2.0 (+ (exp (- x)) (exp x)))) (sqrt (sqrt 2.0))) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))))

series424.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ 2.0 (+ (exp (- x)) (exp x)))
73.0ms
(/ (sqrt 2.0) (+ (exp x) (exp (- x))))
164.0ms
(sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))
142.0ms
(* (* (sqrt (/ 2.0 (+ (exp (- x)) (exp x)))) (sqrt (sqrt 2.0))) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))))

simplify1.9s

Counts
190 → 190
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02793732
16023390
217443184
done50013159

prune776.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (pow (sqrt (/ 2.0 (+ (exp (- x)) (exp x)))) 3)))
0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.0b
(/ 2.0 (+ (exp (- x)) (exp x)))
0.0b
(cbrt (pow (sqrt (/ 2.0 (+ (exp (- x)) (exp x)))) 3))

rewrite438.0ms

Algorithm
rewrite-expression-head
Rules
136×add-sqr-sqrt
120×cbrt-prod sqrt-prod
116×*-un-lft-identity
99×times-frac
70×add-cube-cbrt
51×unpow-prod-down cube-prod associate-*r*
27×unswap-sqr
23×distribute-lft-out
21×associate-*l*
14×associate-/r/
10×add-exp-log
9×add-cbrt-cube
8×associate-/r*
7×flip3-+ flip-+ div-inv
6×pow1 associate-/l*
5×sqrt-div sqr-pow
4×add-log-exp
3×cube-div cbrt-div
2×cbrt-undiv cube-mult frac-2neg unpow3 div-exp clear-num
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative rem-cbrt-cube cbrt-unprod
Counts
4 → 237
Calls
4 calls:
291.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (pow (sqrt (/ 2.0 (+ (exp (- x)) (exp x)))) 3)))
39.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
48.0ms
(/ 2.0 (+ (exp (- x)) (exp x)))
43.0ms
(cbrt (pow (sqrt (/ 2.0 (+ (exp (- x)) (exp x)))) 3))

series433.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (pow (sqrt (/ 2.0 (+ (exp (- x)) (exp x)))) 3)))
45.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
77.0ms
(/ 2.0 (+ (exp (- x)) (exp x)))
147.0ms
(cbrt (pow (sqrt (/ 2.0 (+ (exp (- x)) (exp x)))) 3))

simplify1.3s

Counts
249 → 249
Iterations

Useful iterations: done (1.3s)

IterNodesCost
03455950
17364720
219534127
done50004090

prune797.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01524
11724
done1724

end0.0ms

sample744.0ms

Algorithm
intervals
Results
491.0ms8000×body80valid