Details

Time bar (total: 16.7s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1108
2128
done128

prune2.0ms

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))))

rewrite79.0ms

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:
24.0ms
(+ (exp x) (exp (- x)))
52.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series131.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ (exp x) (exp (- x)))
80.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify2.7s

Counts
51 → 51
Iterations

Useful iterations: done (2.7s)

IterNodesCost
090649
1944618
done5000571

prune196.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

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))))

rewrite315.0ms

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:
44.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
183.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
35.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
34.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series507.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
186.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
83.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
88.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify4.7s

Counts
216 → 216
Iterations

Useful iterations: done (4.7s)

IterNodesCost
02284477
done50003299

prune782.0ms

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))))))

rewrite390.0ms

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:
45.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
45.0ms
(/ (sqrt 2.0) (+ (exp x) (exp (- x))))
47.0ms
(sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))
231.0ms
(* (* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (sqrt 2.0))) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))))

series562.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
126.0ms
(/ (sqrt 2.0) (+ (exp x) (exp (- x))))
210.0ms
(sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))
161.0ms
(* (* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (sqrt 2.0))) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))))

simplify821.0ms

Counts
190 → 190
Iterations

Useful iterations: done (812.0ms)

IterNodesCost
02603732
done50003409

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
55×*-un-lft-identity
36×times-frac
32×add-sqr-sqrt
31×add-cube-cbrt
12×associate-/r* distribute-lft-out
10×add-exp-log add-cbrt-cube
9×associate-/l*
6×associate-/r/
4×pow1 add-log-exp
3×cbrt-undiv cbrt-div frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
2×sqrt-div
1×cbrt-prod frac-times cube-unmult pow1/3 associate-*r/ associate-*l/ rem-cbrt-cube
Counts
4 → 112
Calls
4 calls:
24.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
26.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
40.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
70.0ms
(cbrt (* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (/ 2.0 (+ (exp x) (exp (- x))))))

series761.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
57.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
85.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
534.0ms
(cbrt (* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (/ 2.0 (+ (exp x) (exp (- x))))))

simplify2.1s

Counts
124 → 124
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01281852
17301785
done50011633

prune555.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes83.0ms

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
01424
11724
done1724

end0.0ms

sample728.0ms

Algorithm
intervals
Results
518.0ms8000×body80valid