Details

sample1.3s

Algorithm

intervals

Results

1.3s

3623×

body

valid

simplify5.7s

Counts

1 → 1

Iterations

Iter	Nodes
4	8119
3	1785
2	390
1	93
0	31

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize87.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (/ 15/8 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))) (* (fabs x) (fabs x)))
0.4b	(* (* (* (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)

rewrite246.0ms

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	(/ (/ 15/8 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))) (* (fabs x) (fabs x)))
85.0ms	(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
62.0ms	(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
1.0ms	(sqrt PI)

series204.0ms

Counts

4 → 10

Calls

4 calls:

94.0ms	(/ (/ 15/8 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))) (* (fabs x) (fabs x)))
52.0ms	(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
58.0ms	(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
0.0ms	(sqrt PI)

simplify2.3s

Counts

213 → 213

Iterations

Iter	Nodes
3	4410
2	1175
1	404
0	182

prune671.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

localize64.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 3/4 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))))
0.3b	(/ 1/2 (* (fabs x) (fabs x)))
0.4b	(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
1.0b	(sqrt PI)

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

127×	`pow1`
69×	`pow-prod-up`
59×	`add-cbrt-cube` `add-exp-log`
33×	`pow-plus`
31×	`prod-exp` `cbrt-unprod`
17×	`pow2` `pow-sqr`
15×	`pow-prod-down`
10×	`add-sqr-sqrt`
9×	`cbrt-undiv` `*-un-lft-identity` `div-exp` `add-cube-cbrt`
6×	`times-frac` `associate-/l*`
4×	`pow3` `insert-posit16` `add-log-exp`
3×	`sqrt-prod`
2×	`clear-num` `associate-/r*` `frac-2neg` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r` `associate-l` `*-commutative`

Counts

4 → 133

Calls

4 calls:

78.0ms	(/ 3/4 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))))
8.0ms	(/ 1/2 (* (fabs x) (fabs x)))
56.0ms	(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
1.0ms	(sqrt PI)

series139.0ms

Counts

4 → 10

Calls

4 calls:

58.0ms	(/ 3/4 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))))
35.0ms	(/ 1/2 (* (fabs x) (fabs x)))
45.0ms	(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
0.0ms	(sqrt PI)

simplify2.0s

Counts

143 → 143

Iterations

Iter	Nodes
3	4051
2	943
1	362
0	153

prune553.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.2b

localize72.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1/2 (* (fabs x) (fabs x)))
0.4b	(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
1.0b	(sqrt PI)
1.0b	(sqrt PI)

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

128×	`pow1`
69×	`pow-prod-up`
33×	`pow-plus`
30×	`add-cbrt-cube` `add-exp-log`
17×	`pow2` `pow-sqr`
16×	`prod-exp` `cbrt-unprod`
15×	`pow-prod-down`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-prod`
4×	`pow3` `insert-posit16` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-r` `associate-l` `-commutative` `div-inv`

Counts

4 → 115

Calls

4 calls:

13.0ms	(/ 1/2 (* (fabs x) (fabs x)))
87.0ms	(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
2.0ms	(sqrt PI)
2.0ms	(sqrt PI)

series69.0ms

Counts

4 → 8

Calls

4 calls:

23.0ms	(/ 1/2 (* (fabs x) (fabs x)))
46.0ms	(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)

simplify2.4s

Counts

123 → 123

Iterations

Iter	Nodes
4	4421
3	1818
2	517
1	228
0	107

prune588.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.2b

localize106.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1/2 (* (fabs x) (fabs x)))
0.4b	(/ (/ 15/8 (pow (fabs x) 5)) (* (fabs x) (fabs x)))
0.4b	(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
1.0b	(sqrt PI)

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

127×	`pow1`
70×	`times-frac`
69×	`pow-prod-up`
54×	`add-exp-log`
42×	`add-cbrt-cube`
36×	`add-sqr-sqrt`
35×	`*-un-lft-identity` `add-cube-cbrt`
33×	`pow-plus`
28×	`associate-/l*`
20×	`prod-exp`
18×	`unpow-prod-down` `cbrt-unprod`
17×	`pow2` `pow-sqr`
16×	`div-exp`
15×	`pow-prod-down`
8×	`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 → 176

Calls

4 calls:

7.0ms	(/ 1/2 (* (fabs x) (fabs x)))
14.0ms	(/ (/ 15/8 (pow (fabs x) 5)) (* (fabs x) (fabs x)))
113.0ms	(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
2.0ms	(sqrt PI)

series180.0ms

Counts

4 → 10

Calls

4 calls:

21.0ms	(/ 1/2 (* (fabs x) (fabs x)))
93.0ms	(/ (/ 15/8 (pow (fabs x) 5)) (* (fabs x) (fabs x)))
66.0ms	(* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x)))
0.0ms	(sqrt PI)

simplify4.4s

Counts

186 → 186

Iterations

Iter	Nodes
3	6587
2	1803
1	637
0	271

prune792.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.2b

regimes287.0ms

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	31
1	31
0	25

end0.0ms

sample4.2s

Algorithm

intervals

Results

4.0s

9605×

body

valid