Details

Time bar (total: 30.5s)

sample1.3s

Algorithm
intervals
Results
1.2s3464×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done2009
42009
31493
2392
195
031

prune39.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize67.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.5b
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.5b
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
1.0b
(sqrt PI)

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
162×add-sqr-sqrt
144×times-frac
124×add-exp-log
113×*-un-lft-identity
89×add-cube-cbrt
50×pow1
48×div-exp prod-exp
45×swap-sqr
40×add-cbrt-cube
39×associate-*r* associate-*l*
27×unswap-sqr
24×rec-exp 1-exp pow-flip inv-pow
18×div-inv
15×pow-prod-up
12×cbrt-undiv cbrt-unprod
9×pow-prod-down pow-sqr
4×insert-posit16 add-log-exp
3×pow2 frac-times pow-plus associate-*l/ associate-*r/ un-div-inv *-commutative sqrt-prod
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 302
Calls
4 calls:
25.0ms
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
25.0ms
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
30.0ms
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
2.0ms
(sqrt PI)

series93.0ms

Counts
4 → 10
Calls
4 calls:
28.0ms
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
28.0ms
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
36.0ms
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.0ms
(sqrt PI)

simplify1.4s

Counts
312 → 312
Iterations
IterNodes
done2001
32001
21122
1468
0160

prune5.2s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.3b

localize81.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (* (fabs x) (fabs x))))
0.5b
(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (* (fabs x) (fabs x))))
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
340×add-exp-log
248×pow1
182×prod-exp
168×pow-flip
112×div-exp
84×pow-prod-up
76×add-cbrt-cube
56×rec-exp 1-exp
52×pow-prod-down
48×add-sqr-sqrt times-frac pow-sqr
38×*-un-lft-identity
34×pow-plus
30×cbrt-unprod
26×pow2
24×cbrt-undiv
22×add-cube-cbrt
20×inv-pow
18×swap-sqr unswap-sqr
14×associate-*r* associate-*l*
12×div-inv
6×sqrt-prod
4×insert-posit16 add-log-exp
2×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ associate-*r/ un-div-inv *-commutative
Counts
4 → 338
Calls
4 calls:
48.0ms
(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (* (fabs x) (fabs x))))
50.0ms
(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (* (fabs x) (fabs x))))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series80.0ms

Counts
4 → 8
Calls
4 calls:
41.0ms
(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (* (fabs x) (fabs x))))
39.0ms
(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (* (fabs x) (fabs x))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.7s

Counts
346 → 346
Iterations
IterNodes
done2047
32047
21193
1447
0184

prune5.4s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 0.2b

localize59.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (+ (* (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (* (fabs x) (fabs x)))) 3/4) (* (+ 1/2 (* 15/8 (pow (fabs x) -4))) (/ 1 (* (fabs x) (fabs x))))) (/ (* (exp (* (fabs x) (fabs x))) (/ 1 (fabs x))) (sqrt PI)))
0.5b
(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (* (fabs x) (fabs x))))
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite673.0ms

Algorithm
rewrite-expression-head
Rules
190×add-exp-log
129×pow1
103×associate-*l/
101×prod-exp
84×pow-flip
63×div-exp
55×frac-times
54×add-cbrt-cube
48×frac-add
42×pow-prod-up
34×add-sqr-sqrt
30×times-frac
29×rec-exp 1-exp
27×pow-prod-down
26×*-un-lft-identity
24×pow-sqr
22×associate-*r/
21×un-div-inv cbrt-unprod
18×flip3-+ add-cube-cbrt flip-+
17×pow-plus associate-*r*
16×cbrt-undiv
13×pow2
10×associate-*l* inv-pow unswap-sqr
9×swap-sqr sqrt-prod
7×div-inv
4×insert-posit16 add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative
Counts
4 → 270
Calls
4 calls:
619.0ms
(* (+ (* (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (* (fabs x) (fabs x)))) 3/4) (* (+ 1/2 (* 15/8 (pow (fabs x) -4))) (/ 1 (* (fabs x) (fabs x))))) (/ (* (exp (* (fabs x) (fabs x))) (/ 1 (fabs x))) (sqrt PI)))
40.0ms
(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (* (fabs x) (fabs x))))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series500.0ms

Counts
4 → 8
Calls
4 calls:
454.0ms
(* (+ (* (* (/ 1 (* (fabs x) (fabs x))) (/ 1 (* (fabs x) (fabs x)))) 3/4) (* (+ 1/2 (* 15/8 (pow (fabs x) -4))) (/ 1 (* (fabs x) (fabs x))))) (/ (* (exp (* (fabs x) (fabs x))) (/ 1 (fabs x))) (sqrt PI)))
46.0ms
(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (* (fabs x) (fabs x))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.5s

Counts
278 → 278
Iterations
IterNodes
done2002
22002
11359
0434

prune4.8s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.1b

localize72.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ (exp (* (fabs x) (fabs x))) (fabs (cbrt PI)))
1.0b
(cbrt PI)
1.0b
(cbrt PI)
1.0b
(sqrt PI)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
9×times-frac
6×cbrt-prod add-cbrt-cube
5×pow1 add-exp-log
4×insert-posit16 add-log-exp
3×associate-/r* sqrt-prod associate-/l*
2×pow1/3
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-exp div-inv
Counts
4 → 66
Calls
4 calls:
9.0ms
(/ (exp (* (fabs x) (fabs x))) (fabs (cbrt PI)))
1.0ms
(cbrt PI)
1.0ms
(cbrt PI)
1.0ms
(sqrt PI)

series123.0ms

Counts
4 → 6
Calls
4 calls:
122.0ms
(/ (exp (* (fabs x) (fabs x))) (fabs (cbrt PI)))
0.0ms
(cbrt PI)
0.0ms
(cbrt PI)
0.0ms
(sqrt PI)

simplify1.5s

Counts
72 → 72
Iterations
IterNodes
done2000
42000
31943
2578
1205
0102

prune1.8s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

regimes263.0ms

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done37
137
027

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.6s4651×body80valid