Details

Time bar (total: 5.8s)

sample12.0ms

Algorithm
intervals
Results
6.0ms256×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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
5×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp
3×fma-def associate-/l*
2×pow1 expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 52
Calls
2 calls:
22.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
13.0ms
(+ (exp x) (exp (- x)))

series69.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
29.0ms
(+ (exp x) (exp (- x)))

simplify2.4s

Counts
58 → 58
Iterations

Useful iterations: 3 (225.0ms)

IterNodesCost
094681
1199650
2470597
3950593
43858593
done5000593

prune123.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
82×*-un-lft-identity
60×times-frac
48×add-sqr-sqrt add-cube-cbrt
42×cbrt-prod
36×unpow-prod-down cube-prod
17×distribute-lft-out
10×associate-/r/
9×add-exp-log add-cbrt-cube
6×flip3-+ flip-+ add-log-exp
5×pow1 div-inv
4×expm1-log1p-u associate-/r* log1p-expm1-u
3×pow-unpow fma-def associate-/l*
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×+-commutative pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num sum-log rem-cbrt-cube
Counts
4 → 164
Calls
4 calls:
22.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
13.0ms
(+ (exp x) (exp (- x)))
27.0ms
(cbrt (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3))
25.0ms
(pow (/ 2.0 (+ (exp x) (exp (- x)))) 3)

series186.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
23.0ms
(+ (exp x) (exp (- x)))
44.0ms
(cbrt (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3))
79.0ms
(pow (/ 2.0 (+ (exp x) (exp (- x)))) 3)

simplify1.0s

Counts
176 → 176
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01923060
14822555
214392308
done50002261

prune321.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x x (fma 1/12 (pow x 4) 2))
0.1b
(fma 1/12 (pow x 4) 2)
0.3b
(/ 2.0 (fma x x (fma 1/12 (pow x 4) 2)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 49
Calls
3 calls:
0.0ms
(fma x x (fma 1/12 (pow x 4) 2))
0.0ms
(fma 1/12 (pow x 4) 2)
5.0ms
(/ 2.0 (fma x x (fma 1/12 (pow x 4) 2)))

series205.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(fma x x (fma 1/12 (pow x 4) 2))
84.0ms
(fma 1/12 (pow x 4) 2)
76.0ms
(/ 2.0 (fma x x (fma 1/12 (pow x 4) 2)))

simplify837.0ms

Counts
58 → 58
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
096864
1171843
2419759
31178759
done5000759

prune136.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11111
done1111

end0.0ms

sample286.0ms

Algorithm
intervals
Results
169.0ms8000×body80valid