Details

Time bar (total: 22.4s)

sample1.0s

Algorithm
intervals
Results
900.0ms3860×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: done (1.8s)

IterNodesCost
031103
190103
238466
3186154
done500051

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize53.0ms

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)

rewrite44.0ms

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:
11.0ms
(pow (/ 1.0 (fabs x)) 3)
9.0ms
(pow (/ 1.0 (fabs x)) 4)
16.0ms
(pow (/ 1.0 (fabs x)) 4)
3.0ms
(sqrt PI)

series157.0ms

Counts
4 → 10
Calls
4 calls:
52.0ms
(pow (/ 1.0 (fabs x)) 3)
55.0ms
(pow (/ 1.0 (fabs x)) 4)
49.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify1.5s

Counts
125 → 125
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01591392
14301254
213571152
done50001140

prune889.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize38.0ms

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)

rewrite129.0ms

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:
87.0ms
(* (pow (/ 1.0 (fabs x)) 3) (+ (/ 1.0 2.0) (* (/ 1.0 (pow (fabs x) 4)) (/ 15.0 8.0))))
11.0ms
(pow (/ 1.0 (fabs x)) 3)
17.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)

series282.0ms

Counts
4 → 10
Calls
4 calls:
174.0ms
(* (pow (/ 1.0 (fabs x)) 3) (+ (/ 1.0 2.0) (* (/ 1.0 (pow (fabs x) 4)) (/ 15.0 8.0))))
60.0ms
(pow (/ 1.0 (fabs x)) 3)
47.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify3.5s

Counts
164 → 164
Iterations

Useful iterations: done (3.5s)

IterNodesCost
02402882
17872721
239182545
done50002543

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize83.0ms

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)))
0.3b
(* (pow (fabs x) 3) (* 2.0 (pow (fabs x) 4)))
0.9b
(pow (/ 1.0 (fabs x)) 4)
1.0b
(sqrt PI)

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
30×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
23×prod-exp
19×times-frac
16×unpow-prod-down
15×associate-*l*
14×associate-*r* add-cbrt-cube
9×pow-exp
8×pow1 pow-to-exp
5×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 → 112
Calls
4 calls:
82.0ms
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
37.0ms
(* (pow (fabs x) 3) (* 2.0 (pow (fabs x) 4)))
7.0ms
(pow (/ 1.0 (fabs x)) 4)
1.0ms
(sqrt PI)

series306.0ms

Counts
4 → 10
Calls
4 calls:
147.0ms
(* (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1) (/ 1.0 (fabs x)))
100.0ms
(* (pow (fabs x) 3) (* 2.0 (pow (fabs x) 4)))
59.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify1.8s

Counts
122 → 122
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02261890
15531729
222141514
done50011505

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize85.0ms

Local error

Found 4 expressions with local error:

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

rewrite255.0ms

Algorithm
rewrite-expression-head
Rules
26×unpow-prod-down
24×add-sqr-sqrt sqrt-div
23×add-cube-cbrt *-un-lft-identity
19×add-exp-log
18×times-frac
16×frac-times
13×add-cbrt-cube
12×pow1 flip3-+ flip-+
8×associate-*r/ associate-*l/
6×pow-unpow associate-*l* sqrt-prod
5×prod-exp cbrt-unprod
4×pow-exp add-log-exp
3×div-exp pow-prod-down
2×pow-to-exp pow-pow div-inv sqr-pow
1×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 associate-*r* *-commutative
Counts
4 → 109
Calls
4 calls:
217.0ms
(* (sqrt (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1)) (* (sqrt (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1)) (/ 1.0 (fabs x))))
13.0ms
(pow (/ 1.0 (fabs x)) 4)
13.0ms
(pow (/ 1.0 (fabs x)) 4)
2.0ms
(sqrt PI)

series247.0ms

Counts
4 → 10
Calls
4 calls:
115.0ms
(* (sqrt (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1)) (* (sqrt (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 4)) 1)) (/ 1.0 (fabs x))))
68.0ms
(pow (/ 1.0 (fabs x)) 4)
64.0ms
(pow (/ 1.0 (fabs x)) 4)
0.0ms
(sqrt PI)

simplify1.7s

Counts
119 → 119
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01933054
14542279
212261997
done50011959

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

regimes370.0ms

bsearch0.0ms

simplify17.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
042106
159106
done59106

end0.0ms

sample4.6s

Algorithm
intervals
Results
4.2s14908×body80valid