Details

Time bar (total: 23.0s)

sample747.0ms

Algorithm
intervals
Results
657.0ms3779×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: done (1.9s)

IterNodesCost
031103
190103
238466
3186154
done500051

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize67.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (/ 1.0 (fabs x)) 3)
0.9b
(pow (/ 1.0 (fabs x)) 4)
0.9b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
39×unpow-prod-down
37×add-sqr-sqrt
36×add-cube-cbrt *-un-lft-identity times-frac
13×add-exp-log cube-prod
9×pow-unpow
8×pow1
7×add-cbrt-cube
6×pow-exp
4×div-inv add-log-exp
3×pow-to-exp pow-pow div-exp sqrt-prod sqr-pow
2×rem-cube-cbrt
1×cbrt-undiv cube-div cube-mult rem-sqrt-square sqrt-pow1 pow1/2 unpow3
Counts
4 → 115
Calls
4 calls:
10.0ms
(pow (/ 1.0 (fabs x)) 3)
7.0ms
(pow (/ 1.0 (fabs x)) 4)
7.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)

series145.0ms

Counts
4 → 10
Calls
4 calls:
35.0ms
(pow (/ 1.0 (fabs x)) 3)
44.0ms
(pow (/ 1.0 (fabs x)) 4)
66.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify1.4s

Counts
125 → 125
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01591392
14301254
213571152
done50001140

prune934.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.3b

localize61.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (pow (/ 1.0 (fabs x)) 3) (+ (/ 1.0 2.0) (* (/ 1.0 (pow (fabs x) 4)) (/ 15.0 8.0))))
0.7b
(pow (/ 1.0 (fabs x)) 3)
0.9b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite526.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
47×times-frac
44×add-cube-cbrt *-un-lft-identity
41×unpow-prod-down
32×associate-*l*
28×cube-prod
18×add-exp-log
9×add-cbrt-cube
7×pow1 cube-div frac-times associate-*r/
6×pow-unpow frac-add pow-exp unswap-sqr
5×div-inv
4×prod-exp add-log-exp sqr-pow
3×pow-to-exp div-exp associate-*r* associate-*l/ sqrt-prod
2×cube-mult pow-pow flip3-+ unpow3 flip-+ rem-cube-cbrt
1×cbrt-undiv distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 *-commutative cbrt-unprod
Counts
4 → 154
Calls
4 calls:
491.0ms
(* (pow (/ 1.0 (fabs x)) 3) (+ (/ 1.0 2.0) (* (/ 1.0 (pow (fabs x) 4)) (/ 15.0 8.0))))
7.0ms
(pow (/ 1.0 (fabs x)) 3)
13.0ms
(pow (/ 1.0 (fabs x)) 4)
2.0ms
(sqrt PI)

series336.0ms

Counts
4 → 10
Calls
4 calls:
227.0ms
(* (pow (/ 1.0 (fabs x)) 3) (+ (/ 1.0 2.0) (* (/ 1.0 (pow (fabs x) 4)) (/ 15.0 8.0))))
41.0ms
(pow (/ 1.0 (fabs x)) 3)
67.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify2.9s

Counts
164 → 164
Iterations

Useful iterations: done (2.9s)

IterNodesCost
02402882
17872721
239182545
done50002543

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
0.4b
(* (pow (fabs x) 3) (* 2.0 (* (pow (fabs x) 4) 8.0)))
0.9b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
55×add-exp-log
38×prod-exp
30×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
19×times-frac
18×add-cbrt-cube
16×unpow-prod-down
15×associate-*l*
14×associate-*r*
10×pow-exp
9×pow-to-exp
8×pow1 cbrt-unprod
4×add-log-exp
3×pow-unpow cube-prod sqrt-prod
2×frac-times flip3-+ div-exp associate-*l/ *-commutative flip-+ div-inv unswap-sqr sqr-pow
1×cbrt-undiv cube-mult rem-sqrt-square pow-pow sqrt-pow1 pow1/2 unpow3 associate-*r/ pow-prod-down
Counts
4 → 116
Calls
4 calls:
87.0ms
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
87.0ms
(* (pow (fabs x) 3) (* 2.0 (* (pow (fabs x) 4) 8.0)))
13.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)

series312.0ms

Counts
4 → 10
Calls
4 calls:
144.0ms
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
102.0ms
(* (pow (fabs x) 3) (* 2.0 (* (pow (fabs x) 4) 8.0)))
66.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify2.0s

Counts
126 → 126
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02412070
16001890
224891698
done50001693

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize69.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4))
0.3b
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
0.9b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
43×times-frac
36×add-cube-cbrt *-un-lft-identity
32×add-exp-log
30×unpow-prod-down associate-*r*
16×associate-*l*
14×add-cbrt-cube
10×prod-exp unswap-sqr
8×pow1 div-exp
6×pow-exp
4×cbrt-unprod div-inv add-log-exp sqr-pow
3×pow-to-exp pow-unpow associate-*l/ sqrt-prod
2×cbrt-undiv frac-times flip3-+ *-commutative flip-+
1×rem-sqrt-square pow-pow sqrt-pow1 pow1/2 associate-*r/ pow-prod-down
Counts
4 → 134
Calls
4 calls:
44.0ms
(* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4))
109.0ms
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
20.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)

series321.0ms

Counts
4 → 10
Calls
4 calls:
110.0ms
(* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4))
144.0ms
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
66.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify1.7s

Counts
144 → 144
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02462212
15902045
219971876
done50011862

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

regimes312.0ms

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04264
15764
done5764

end0.0ms

sample5.2s

Algorithm
intervals
Results
4.8s16994×body80valid