Details

Time bar (total: 19.3s)

sample909.0ms

Algorithm
intervals
Results
780.0ms3295×body80valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: done (2.2s)

IterNodesCost
031103
190103
238466
3186154
done500051

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

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:
13.0ms
(pow (/ 1.0 (fabs x)) 3)
13.0ms
(pow (/ 1.0 (fabs x)) 4)
13.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)

series152.0ms

Counts
4 → 10
Calls
4 calls:
51.0ms
(pow (/ 1.0 (fabs x)) 3)
52.0ms
(pow (/ 1.0 (fabs x)) 4)
49.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify1.3s

Counts
125 → 125
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01591392
14301254
213571152
done50001140

prune939.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.4b

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)
1.0b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite120.0ms

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:
94.0ms
(* (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)
6.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)

series335.0ms

Counts
4 → 10
Calls
4 calls:
202.0ms
(* (pow (/ 1.0 (fabs x)) 3) (+ (/ 1.0 2.0) (* (/ 1.0 (pow (fabs x) 4)) (/ 15.0 8.0))))
61.0ms
(pow (/ 1.0 (fabs x)) 3)
71.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify3.2s

Counts
164 → 164
Iterations

Useful iterations: done (3.2s)

IterNodesCost
02402882
17872721
239182545
done50002543

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.2b

localize47.0ms

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)))
1.0b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite162.0ms

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:
82.0ms
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
63.0ms
(* (pow (fabs x) 3) (* 2.0 (* (pow (fabs x) 4) 8.0)))
6.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)

series267.0ms

Counts
4 → 10
Calls
4 calls:
117.0ms
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
93.0ms
(* (pow (fabs x) 3) (* 2.0 (* (pow (fabs x) 4) 8.0)))
57.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify1.8s

Counts
126 → 126
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02412070
16001890
224891698
done50001693

prune1.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.2b

localize75.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* (pow 1.0 3) (+ (* 1.0 (* (pow (fabs x) 4) 8.0)) (* 2.0 (* 1.0 15.0)))) (* 16.0 (pow (fabs x) 7)))
0.3b
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
1.0b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
60×add-exp-log
27×add-sqr-sqrt
26×prod-exp
21×add-cube-cbrt *-un-lft-identity add-cbrt-cube
20×times-frac
18×div-exp
13×unpow-prod-down associate-*r*
10×pow-exp
9×pow-to-exp
8×pow1
6×cbrt-unprod
5×cbrt-undiv
4×add-log-exp
3×pow-unpow flip3-+ associate-*r/ associate-*l* sqrt-prod flip-+ div-inv
2×frac-times associate-*l/ associate-/l/ unswap-sqr
1×rem-sqrt-square pow-pow frac-2neg sqrt-pow1 pow1/2 pow-prod-down clear-num associate-/r* *-commutative associate-/l* sqr-pow
Counts
4 → 112
Calls
4 calls:
64.0ms
(/ (* (pow 1.0 3) (+ (* 1.0 (* (pow (fabs x) 4) 8.0)) (* 2.0 (* 1.0 15.0)))) (* 16.0 (pow (fabs x) 7)))
77.0ms
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
28.0ms
(pow (/ 1.0 (fabs x)) 4)
2.0ms
(sqrt PI)

series439.0ms

Counts
4 → 10
Calls
4 calls:
287.0ms
(/ (* (pow 1.0 3) (+ (* 1.0 (* (pow (fabs x) 4) 8.0)) (* 2.0 (* 1.0 15.0)))) (* 16.0 (pow (fabs x) 7)))
100.0ms
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
52.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify2.0s

Counts
122 → 122
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02472614
16592443
230012098
done50012097

prune955.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.2b

regimes454.0ms

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04177
15677
done5677

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.4s4356×body80valid