Details

Time bar (total: 25.9s)

sample1.2s

Algorithm
intervals
Results
1.1s3389×body80valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5001
31913
2396
190
031

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
158×add-cbrt-cube add-exp-log
130×pow1
86×add-sqr-sqrt
80×times-frac
73×prod-exp cbrt-unprod
61×*-un-lft-identity add-cube-cbrt
48×cbrt-undiv div-exp
38×pow-prod-up
27×swap-sqr associate-*r* associate-*l*
25×pow-prod-down
24×pow-sqr
20×pow-plus
19×frac-times
15×pow2
13×associate-*l/ associate-*r/
9×unswap-sqr
8×div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative sqrt-prod
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 275
Calls
4 calls:
31.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
18.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
95.0ms
(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))))
1.0ms
(sqrt PI)

series150.0ms

Counts
4 → 10
Calls
4 calls:
46.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
45.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
59.0ms
(* (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))))
0.0ms
(sqrt PI)

simplify2.6s

Counts
285 → 285
Iterations
IterNodes
done5000
22266
1704
0236

prune1.8s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.4b

localize113.0ms

Local error

Found 4 expressions with local error:

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

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
130×pow1
86×add-sqr-sqrt
80×times-frac
61×*-un-lft-identity add-cube-cbrt
40×add-cbrt-cube add-exp-log
38×pow-prod-up
27×swap-sqr associate-*r* associate-*l*
25×pow-prod-down
24×pow-sqr
20×pow-plus
16×prod-exp cbrt-unprod
15×pow2
9×unswap-sqr
8×cbrt-undiv div-exp div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative sqrt-prod
2×frac-times associate-*l/ associate-*r/
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 218
Calls
4 calls:
36.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
36.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
58.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
2.0ms
(sqrt PI)

series127.0ms

Counts
4 → 10
Calls
4 calls:
32.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
40.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
55.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
0.0ms
(sqrt PI)

simplify2.0s

Counts
228 → 228
Iterations
IterNodes
done5000
21858
1528
0166

prune1.8s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.3b

localize115.0ms

Local error

Found 4 expressions with local error:

0.4b
(fma (/ 1.0 (fabs x)) (fma (/ 1.0 2.0) (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (* (/ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))) (fma (/ 15.0 8.0) (/ (* 1.0 1.0) (* (fabs x) (fabs x))) (/ 3.0 4.0)))) (/ 1.0 (fabs x)))
0.5b
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.5b
(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
1.0b
(sqrt PI)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
123×pow1
46×add-sqr-sqrt
40×times-frac
37×pow-prod-up
33×*-un-lft-identity add-cube-cbrt
28×add-cbrt-cube add-exp-log
24×pow-prod-down
23×pow-sqr
19×pow-plus
14×pow2 swap-sqr associate-*r* associate-*l*
12×prod-exp cbrt-unprod
5×unswap-sqr
4×expm1-log1p-u cbrt-undiv div-exp log1p-expm1-u div-inv add-log-exp
3×sqrt-prod
2×*-commutative
1×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ associate-*r/ fma-udef
Counts
4 → 159
Calls
4 calls:
0.0ms
(fma (/ 1.0 (fabs x)) (fma (/ 1.0 2.0) (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (* (/ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))) (fma (/ 15.0 8.0) (/ (* 1.0 1.0) (* (fabs x) (fabs x))) (/ 3.0 4.0)))) (/ 1.0 (fabs x)))
18.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
44.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
1.0ms
(sqrt PI)

series377.0ms

Counts
4 → 10
Calls
4 calls:
305.0ms
(fma (/ 1.0 (fabs x)) (fma (/ 1.0 2.0) (* (/ 1.0 (fabs x)) (/ 1.0 (fabs x))) (* (/ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))) (fma (/ 15.0 8.0) (/ (* 1.0 1.0) (* (fabs x) (fabs x))) (/ 3.0 4.0)))) (/ 1.0 (fabs x)))
31.0ms
(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
41.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
0.0ms
(sqrt PI)

simplify2.2s

Counts
169 → 169
Iterations
IterNodes
done5004
22299
1632
0212

prune1.3s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.2b

localize61.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 0.75 (* (* (fabs x) (fabs x)) (* (fabs x) (* (fabs x) (fabs x)))))
0.3b
(/ 1.875 (pow (fabs x) 7))
0.4b
(* (* (fabs x) (fabs x)) (* (fabs x) (* (fabs x) (fabs x))))
1.0b
(sqrt PI)

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
87×pow1
59×add-exp-log
56×add-cbrt-cube
45×pow-prod-up
30×prod-exp cbrt-unprod
24×add-sqr-sqrt times-frac
23×*-un-lft-identity add-cube-cbrt
15×pow-prod-down
12×unpow-prod-down
10×div-exp
9×pow2 pow-plus pow-sqr
8×cbrt-undiv associate-/r*
6×associate-/l*
4×expm1-log1p-u cube-unmult log1p-expm1-u add-log-exp sqr-pow
3×sqrt-prod
2×clear-num frac-2neg div-inv
1×pow-to-exp rem-sqrt-square sqrt-pow1 pow1/2 associate-*r* associate-*l* pow-exp *-commutative
Counts
4 → 145
Calls
4 calls:
67.0ms
(/ 0.75 (* (* (fabs x) (fabs x)) (* (fabs x) (* (fabs x) (fabs x)))))
7.0ms
(/ 1.875 (pow (fabs x) 7))
53.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) (* (fabs x) (fabs x))))
1.0ms
(sqrt PI)

series231.0ms

Counts
4 → 10
Calls
4 calls:
62.0ms
(/ 0.75 (* (* (fabs x) (fabs x)) (* (fabs x) (* (fabs x) (fabs x)))))
102.0ms
(/ 1.875 (pow (fabs x) 7))
67.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) (* (fabs x) (fabs x))))
0.0ms
(sqrt PI)

simplify1.8s

Counts
155 → 155
Iterations
IterNodes
done5007
21332
1477
0219

prune899.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.2b

regimes404.0ms

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done31
131
024

end0.0ms

sample4.9s

Algorithm
intervals
Results
4.5s17617×body80valid