Details

Time bar (total: 40.8s)

sample1.3s

Algorithm
intervals
Results
1.3s3248×body80valid

simplify5.5s

Counts
1 → 1
Iterations
IterNodes
48119
31785
2390
193
031

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize74.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
0.4b
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
0.4b
(/ (/ 15/8 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))) (* (fabs x) (fabs x)))
1.0b
(sqrt PI)

rewrite279.0ms

Algorithm
rewrite-expression-head
Rules
249×pow1
138×pow-prod-up
130×add-cbrt-cube add-exp-log
68×prod-exp cbrt-unprod
66×pow-plus
34×pow2 pow-sqr
30×cbrt-undiv div-exp pow-prod-down
13×times-frac
10×add-sqr-sqrt
9×*-un-lft-identity add-cube-cbrt
8×pow3
7×associate-/l*
4×insert-posit16 add-log-exp
3×sqrt-prod div-inv
2×associate-*r* associate-*l* *-commutative
1×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 203
Calls
4 calls:
92.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
80.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
101.0ms
(/ (/ 15/8 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))) (* (fabs x) (fabs x)))
1.0ms
(sqrt PI)

series195.0ms

Counts
4 → 10
Calls
4 calls:
59.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
56.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
79.0ms
(/ (/ 15/8 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))) (* (fabs x) (fabs x)))
0.0ms
(sqrt PI)

simplify2.1s

Counts
213 → 213
Iterations
IterNodes
34445
21182
1429
0182

prune3.2s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.2b

localize62.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 3/4 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))))
0.4b
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
0.4b
(/ (/ 15/8 (pow (fabs x) 5)) (* (fabs x) (fabs x)))
1.0b
(sqrt PI)

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
127×pow1
78×add-exp-log
70×times-frac
69×pow-prod-up
66×add-cbrt-cube
36×add-sqr-sqrt
35×*-un-lft-identity add-cube-cbrt
34×prod-exp
33×pow-plus
32×cbrt-unprod
28×associate-/l*
21×div-exp
18×unpow-prod-down
17×pow2 pow-sqr
15×pow-prod-down
13×cbrt-undiv
6×sqr-pow
4×pow3 insert-posit16 div-inv add-log-exp
3×sqrt-prod
2×pow-to-exp clear-num associate-/r* frac-2neg pow-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r* associate-*l* *-commutative associate-/l/
Counts
4 → 186
Calls
4 calls:
96.0ms
(/ 3/4 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))))
76.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
25.0ms
(/ (/ 15/8 (pow (fabs x) 5)) (* (fabs x) (fabs x)))
2.0ms
(sqrt PI)

series186.0ms

Counts
4 → 10
Calls
4 calls:
56.0ms
(/ 3/4 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))))
46.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
83.0ms
(/ (/ 15/8 (pow (fabs x) 5)) (* (fabs x) (fabs x)))
0.0ms
(sqrt PI)

simplify793.0ms

Counts
196 → 196
Iterations
IterNodes
22201
1636
0283

prune3.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 15/8 (pow (fabs x) 7))
0.3b
(/ 3/4 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))))
0.4b
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
1.0b
(sqrt PI)

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
127×pow1
69×pow-prod-up
59×add-exp-log
56×add-cbrt-cube
33×pow-plus
30×prod-exp cbrt-unprod
24×add-sqr-sqrt times-frac
23×*-un-lft-identity add-cube-cbrt
17×pow2 pow-sqr
15×pow-prod-down
12×unpow-prod-down
10×div-exp
8×cbrt-undiv associate-/r*
6×associate-/l*
4×pow3 insert-posit16 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 → 157
Calls
4 calls:
10.0ms
(/ 15/8 (pow (fabs x) 7))
55.0ms
(/ 3/4 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))))
57.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
2.0ms
(sqrt PI)

series233.0ms

Counts
4 → 10
Calls
4 calls:
104.0ms
(/ 15/8 (pow (fabs x) 7))
60.0ms
(/ 3/4 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))))
68.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
0.0ms
(sqrt PI)

simplify1.6s

Counts
167 → 167
Iterations
IterNodes
33506
21024
1380
0198

prune2.9s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize99.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 3/4 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))))
0.4b
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
128×pow1
69×pow-prod-up
54×add-cbrt-cube add-exp-log
33×pow-plus
30×prod-exp cbrt-unprod
17×pow2 pow-sqr
15×pow-prod-down
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
7×cbrt-undiv div-exp
6×sqrt-prod
4×pow3 insert-posit16 add-log-exp
3×times-frac associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2
1×clear-num associate-/r* frac-2neg associate-*r* associate-*l* *-commutative div-inv
Counts
4 → 125
Calls
4 calls:
70.0ms
(/ 3/4 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))))
113.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
1.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series139.0ms

Counts
4 → 8
Calls
4 calls:
77.0ms
(/ 3/4 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))))
61.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.2s

Counts
133 → 133
Iterations
IterNodes
32488
2656
1250
0116

prune2.3s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

regimes227.0ms

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
231
131
025

end0.0ms

sample14.7s

Algorithm
intervals
Results
14.1s34725×body80valid