Details

Time bar (total: 33.3s)

sample1.7s

Algorithm
intervals
Results
1.7s3414×body80valid

simplify2.0s

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

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize90.0ms

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)

rewrite83.0ms

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:
22.0ms
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
28.0ms
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
27.0ms
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
1.0ms
(sqrt PI)

series93.0ms

Counts
4 → 10
Calls
4 calls:
33.0ms
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
31.0ms
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
28.0ms
(* (/ 1 (fabs x)) (/ 1 (fabs x)))
0.0ms
(sqrt PI)

simplify1.6s

Counts
312 → 312
Iterations
IterNodes
done2001
32001
21122
1468
0160

prune1.9s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 0.3b

localize115.0ms

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)

rewrite192.0ms

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:
88.0ms
(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (* (fabs x) (fabs x))))
85.0ms
(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (* (fabs x) (fabs x))))
2.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series95.0ms

Counts
4 → 8
Calls
4 calls:
34.0ms
(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (* (fabs x) (fabs x))))
60.0ms
(* (/ 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

prune1.2s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.1b

localize75.0ms

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)

rewrite895.0ms

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:
833.0ms
(* (+ (* (* (/ 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)))
48.0ms
(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (* (fabs x) (fabs x))))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series513.0ms

Counts
4 → 8
Calls
4 calls:
457.0ms
(* (+ (* (* (/ 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)))
55.0ms
(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (* (fabs x) (fabs x))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.6s

Counts
278 → 278
Iterations
IterNodes
done2002
22002
11359
0434

prune1.5s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.1b

localize82.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
172×add-exp-log
128×pow1
91×prod-exp
84×pow-flip
56×div-exp
42×pow-prod-up
40×add-cbrt-cube
30×add-sqr-sqrt
28×rec-exp 1-exp
26×pow-prod-down
24×times-frac pow-sqr
23×*-un-lft-identity
17×pow-plus
15×add-cube-cbrt cbrt-unprod
13×pow2
12×cbrt-undiv
10×inv-pow
9×swap-sqr sqrt-prod unswap-sqr
7×associate-*r* associate-*l*
6×div-inv
4×insert-posit16 add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-times associate-*l/ associate-*r/ un-div-inv *-commutative
Counts
4 → 197
Calls
4 calls:
65.0ms
(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (* (fabs x) (fabs x))))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series58.0ms

Counts
4 → 6
Calls
4 calls:
58.0ms
(* (/ 1 (* (fabs x) (fabs x))) (/ 1 (* (fabs x) (fabs x))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.3s

Counts
203 → 203
Iterations
IterNodes
done2152
32152
21009
1411
0171

prune1.1s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.1b

regimes359.0ms

bsearch0.0ms

simplify11.0ms

Iterations
IterNodes
done36
136
026

end0.0ms

sample15.0s

Algorithm
intervals
Results
14.5s30817×body80valid