Details

Time bar (total: 16.6s)

sample27.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1108
2128
done128

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite87.0ms

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:
25.0ms
(+ (exp x) (exp (- x)))
58.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series88.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (exp x) (exp (- x)))
56.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify4.0s

Counts
51 → 51
Iterations

Useful iterations: 3 (378.0ms)

IterNodesCost
090649
1190620
2439568
3859566
43442566
done5001566

prune203.0ms

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))))

rewrite274.0ms

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:
33.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
133.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
55.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
31.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series461.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
147.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
67.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
85.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify2.7s

Counts
216 → 216
Iterations

Useful iterations: done (2.7s)

IterNodesCost
02284477
14153279
212763066
338462988
done50002927

prune771.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize38.0ms

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))))))

rewrite329.0ms

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:
43.0ms
(/ 2.0 (+ (exp (- x)) (exp x)))
32.0ms
(/ (sqrt 2.0) (+ (exp x) (exp (- x))))
27.0ms
(sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))
217.0ms
(* (* (sqrt (/ 2.0 (+ (exp (- x)) (exp x)))) (sqrt (sqrt 2.0))) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))))

series547.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(/ 2.0 (+ (exp (- x)) (exp x)))
137.0ms
(/ (sqrt 2.0) (+ (exp x) (exp (- x))))
195.0ms
(sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))
136.0ms
(* (* (sqrt (/ 2.0 (+ (exp (- x)) (exp x)))) (sqrt (sqrt 2.0))) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))))

simplify2.0s

Counts
190 → 190
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02793732
16023390
217443184
done50013159

prune775.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize37.0ms

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))

rewrite475.0ms

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:
309.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (pow (sqrt (/ 2.0 (+ (exp (- x)) (exp x)))) 3)))
31.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
35.0ms
(/ 2.0 (+ (exp (- x)) (exp x)))
71.0ms
(cbrt (pow (sqrt (/ 2.0 (+ (exp (- x)) (exp x)))) 3))

series426.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (pow (sqrt (/ 2.0 (+ (exp (- x)) (exp x)))) 3)))
54.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
58.0ms
(/ 2.0 (+ (exp (- x)) (exp x)))
177.0ms
(cbrt (pow (sqrt (/ 2.0 (+ (exp (- x)) (exp x)))) 3))

simplify1.7s

Counts
249 → 249
Iterations

Useful iterations: done (1.7s)

IterNodesCost
03455950
17364720
219534127
done50004090

prune938.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01524
11724
done1724

end0.0ms

sample574.0ms

Algorithm
intervals
Results
432.0ms8000×body80valid