Details

Time bar (total: 35.4s)

sample850.0ms

Algorithm
intervals
Results
726.0ms3566×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: done (1.7s)

IterNodesCost
031103
190103
238466
3186154
done500051

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize43.0ms

Local error

Found 4 expressions with local error:

0.8b
(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)

rewrite43.0ms

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:
7.0ms
(pow (/ 1.0 (fabs x)) 3)
6.0ms
(pow (/ 1.0 (fabs x)) 4)
25.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)

series150.0ms

Counts
4 → 10
Calls
4 calls:
39.0ms
(pow (/ 1.0 (fabs x)) 3)
63.0ms
(pow (/ 1.0 (fabs x)) 4)
48.0ms
(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

prune964.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.4b

localize58.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
0.8b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×times-frac
36×add-cube-cbrt *-un-lft-identity
26×unpow-prod-down
15×add-exp-log
13×cube-prod associate-*r*
12×add-cbrt-cube
9×pow1
6×pow-unpow
4×pow-exp div-inv add-log-exp
3×div-exp associate-*l* sqrt-prod
2×cbrt-undiv frac-times pow-to-exp pow-pow flip3-+ associate-*l/ prod-exp cbrt-unprod flip-+ rem-cube-cbrt unswap-sqr sqr-pow
1×cube-div cube-mult rem-sqrt-square sqrt-pow1 pow1/2 unpow3 associate-*r/ pow-prod-down *-commutative
Counts
4 → 123
Calls
4 calls:
101.0ms
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
14.0ms
(pow (/ 1.0 (fabs x)) 3)
27.0ms
(pow (/ 1.0 (fabs x)) 4)
2.0ms
(sqrt PI)

series234.0ms

Counts
4 → 10
Calls
4 calls:
124.0ms
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
66.0ms
(pow (/ 1.0 (fabs x)) 3)
44.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify2.4s

Counts
133 → 133
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02051930
15591750
221441568
done50011565

prune956.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (pow 1.0 2) (/ 1.0 (pow (fabs x) 3))) (+ (/ 1.0 2.0) (* (/ 1.0 (pow (fabs x) 4)) (/ 15.0 8.0))))
0.4b
(* (+ (* (/ 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)

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
28×add-sqr-sqrt
27×prod-exp
22×add-cube-cbrt *-un-lft-identity
19×times-frac
18×add-cbrt-cube
16×associate-*r*
14×associate-*r/
13×unpow-prod-down
11×div-exp
10×pow1
9×frac-times pow-exp
8×pow-to-exp
7×cbrt-unprod
6×frac-add
5×associate-*l/
4×flip3-+ associate-*l* flip-+ add-log-exp
3×pow-unpow sqrt-prod
2×cbrt-undiv pow-prod-down *-commutative div-inv unswap-sqr
1×distribute-rgt-in rem-sqrt-square pow-pow distribute-lft-in sqrt-pow1 pow1/2 sqr-pow
Counts
4 → 119
Calls
4 calls:
102.0ms
(* (* (pow 1.0 2) (/ 1.0 (pow (fabs x) 3))) (+ (/ 1.0 2.0) (* (/ 1.0 (pow (fabs x) 4)) (/ 15.0 8.0))))
95.0ms
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
13.0ms
(pow (/ 1.0 (fabs x)) 4)
2.0ms
(sqrt PI)

series405.0ms

Counts
4 → 10
Calls
4 calls:
241.0ms
(* (* (pow 1.0 2) (/ 1.0 (pow (fabs x) 3))) (+ (/ 1.0 2.0) (* (/ 1.0 (pow (fabs x) 4)) (/ 15.0 8.0))))
100.0ms
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
64.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify3.2s

Counts
129 → 129
Iterations

Useful iterations: done (3.2s)

IterNodesCost
02862891
18472638
239792253
done50022252

prune1.2s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.2b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4))
0.4b
(* (+ (* (/ 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)

rewrite143.0ms

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:
38.0ms
(* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4))
92.0ms
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
6.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)

series315.0ms

Counts
4 → 10
Calls
4 calls:
125.0ms
(* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4))
124.0ms
(* (+ (* (/ 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)

simplify2.0s

Counts
144 → 144
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02612266
16442093
223261927
done50011911

prune1.4s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.2b

regimes312.0ms

bsearch0.0ms

simplify15.0ms

Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
04099
15699
done5699

end0.0ms

sample17.2s

Algorithm
intervals
Results
15.6s57200×body80valid