Details

sample1.6s

Algorithm

intervals

Results

1.5s

3356×

body

valid

simplify4.9s

Counts: 1 → 1

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize49.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
0.4b	(/ (+ (* (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (+ (/ (/ 15/8 (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (+ 1/2 (/ 3/4 (* (fabs x) (fabs x)))))) (/ 1 (fabs x))) (/ (sqrt PI) (exp (* (fabs x) (fabs x)))))
0.4b	(* (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (+ (/ (/ 15/8 (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (+ 1/2 (/ 3/4 (* (fabs x) (fabs x))))))
0.3b	(/ (/ 15/8 (* (fabs x) (fabs x))) (* (fabs x) (fabs x)))

rewrite574.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
103×	`add-sqr-sqrt`
99×	`*-un-lft-identity`
93×	`add-cube-cbrt`
61×	`add-exp-log`
48×	`add-cbrt-cube`
39×	`sqrt-prod`
25×	`div-exp`
23×	`associate-/r*`
19×	`cbrt-undiv`
18×	`prod-exp`
17×	`associate-l` `frac-add`
12×	`cbrt-unprod` `associate-/l/`
10×	`div-inv` `associate-/l*`
9×	`flip3-+` `flip-+`
8×	`frac-times` `associate-*r/`
7×	`pow1`
5×	`associate-r`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`distribute-lft-out`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-*l/`
1×	`distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-/r/` `*-commutative`

Counts

4 → 232

Calls

4 calls:

Slowest

271.0ms	(/ (+ (* (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (+ (/ (/ 15/8 (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (+ 1/2 (/ 3/4 (* (fabs x) (fabs x)))))) (/ 1 (fabs x))) (/ (sqrt PI) (exp (* (fabs x) (fabs x)))))
263.0ms	(* (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (+ (/ (/ 15/8 (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (+ 1/2 (/ 3/4 (* (fabs x) (fabs x))))))
29.0ms	(/ (/ 15/8 (* (fabs x) (fabs x))) (* (fabs x) (fabs x)))
1.0ms	(sqrt PI)

series779.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

517.0ms	(/ (+ (* (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (+ (/ (/ 15/8 (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (+ 1/2 (/ 3/4 (* (fabs x) (fabs x)))))) (/ 1 (fabs x))) (/ (sqrt PI) (exp (* (fabs x) (fabs x)))))
200.0ms	(* (/ (/ 1 (fabs x)) (* (fabs x) (fabs x))) (+ (/ (/ 15/8 (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (+ 1/2 (/ 3/4 (* (fabs x) (fabs x))))))
62.0ms	(/ (/ 15/8 (* (fabs x) (fabs x))) (* (fabs x) (fabs x)))
0.0ms	(sqrt PI)

simplify1.6s

Counts: 242 → 242

prune3.7s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1/2 (* (fabs x) (* (fabs x) (fabs x))))
0.3b	(/ 3/4 (pow (fabs x) 5))
0.3b	(/ 15/8 (pow (fabs x) 7))
0.3b	(* (fabs x) (* (fabs x) (fabs x)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
40×	`add-sqr-sqrt`
39×	`*-un-lft-identity` `add-cube-cbrt`
28×	`add-exp-log`
24×	`unpow-prod-down`
22×	`add-cbrt-cube`
18×	`pow1`
15×	`associate-/r*`
9×	`div-exp` `associate-/l*`
8×	`sqr-pow`
6×	`prod-exp` `cbrt-unprod`
5×	`cbrt-undiv` `pow-prod-up`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l` `pow-prod-down` `div-inv`
2×	`pow-to-exp` `pow-exp`
1×	`pow2` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

Slowest

28.0ms	(* (fabs x) (* (fabs x) (fabs x)))
16.0ms	(/ 3/4 (pow (fabs x) 5))
13.0ms	(/ 1/2 (* (fabs x) (* (fabs x) (fabs x))))
10.0ms	(/ 15/8 (pow (fabs x) 7))

series193.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

67.0ms	(/ 15/8 (pow (fabs x) 7))
61.0ms	(/ 3/4 (pow (fabs x) 5))
38.0ms	(/ 1/2 (* (fabs x) (* (fabs x) (fabs x))))
26.0ms	(* (fabs x) (* (fabs x) (fabs x)))

simplify1.7s

Counts: 153 → 153

prune2.9s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize110.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1/2 (* (fabs x) (* (fabs x) (fabs x))))
0.3b	(* (sqrt 15/8) (/ (sqrt 15/8) (pow (fabs x) 7)))
0.3b	(/ (sqrt 15/8) (pow (fabs x) 7))
0.3b	(/ 3/4 (pow (fabs x) 5))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

120×	`times-frac`
117×	`add-sqr-sqrt`
81×	`*-un-lft-identity` `add-cube-cbrt`
61×	`sqrt-prod`
55×	`unpow-prod-down`
46×	`associate-r`
33×	`add-exp-log`
22×	`add-cbrt-cube`
21×	`sqr-pow`
15×	`associate-/r*`
14×	`unswap-sqr`
12×	`div-exp` `associate-/l*`
7×	`prod-exp`
6×	`pow1` `cbrt-undiv` `associate-l`
5×	`cbrt-unprod`
4×	`insert-posit16` `div-inv` `add-log-exp`
3×	`pow-to-exp` `clear-num` `frac-2neg` `pow-exp`
1×	`pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 223

Calls

4 calls:

Slowest

17.0ms	(/ 1/2 (* (fabs x) (* (fabs x) (fabs x))))
15.0ms	(* (sqrt 15/8) (/ (sqrt 15/8) (pow (fabs x) 7)))
14.0ms	(/ 3/4 (pow (fabs x) 5))
6.0ms	(/ (sqrt 15/8) (pow (fabs x) 7))

series392.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

140.0ms	(/ (sqrt 15/8) (pow (fabs x) 7))
128.0ms	(* (sqrt 15/8) (/ (sqrt 15/8) (pow (fabs x) 7)))
79.0ms	(/ 3/4 (pow (fabs x) 5))
44.0ms	(/ 1/2 (* (fabs x) (* (fabs x) (fabs x))))

simplify804.0ms

Counts: 235 → 235

prune4.7s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize98.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1/2 (* (fabs x) (* (fabs x) (fabs x))))
0.3b	(/ 1 (pow (fabs x) 7))
0.3b	(/ 3/4 (pow (fabs x) 5))
0.3b	(* (fabs x) (* (fabs x) (fabs x)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
40×	`add-sqr-sqrt`
39×	`*-un-lft-identity` `add-cube-cbrt`
32×	`add-exp-log`
24×	`unpow-prod-down`
22×	`add-cbrt-cube`
18×	`pow1`
15×	`associate-/r*`
12×	`div-exp`
9×	`associate-/l*`
8×	`sqr-pow`
6×	`prod-exp` `cbrt-unprod`
5×	`cbrt-undiv` `pow-prod-up`
4×	`pow-to-exp` `pow-exp` `insert-posit16` `add-log-exp`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-l` `pow-prod-down` `div-inv`
1×	`pow2` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 149

Calls

4 calls:

Slowest

19.0ms	(/ 1/2 (* (fabs x) (* (fabs x) (fabs x))))
13.0ms	(* (fabs x) (* (fabs x) (fabs x)))
6.0ms	(/ 1 (pow (fabs x) 7))
5.0ms	(/ 3/4 (pow (fabs x) 5))

series228.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

89.0ms	(/ 1 (pow (fabs x) 7))
60.0ms	(/ 3/4 (pow (fabs x) 5))
41.0ms	(* (fabs x) (* (fabs x) (fabs x)))
38.0ms	(/ 1/2 (* (fabs x) (* (fabs x) (fabs x))))

simplify1.6s

Counts: 161 → 161

prune3.1s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

Details

sample1.6s

simplify4.9s

prune36.0ms

localize49.0ms

rewrite574.0ms

series779.0ms

simplify1.6s

prune3.7s

localize73.0ms

rewrite69.0ms

series193.0ms

simplify1.7s

prune2.9s

localize110.0ms

rewrite59.0ms

series392.0ms

simplify804.0ms

prune4.7s

localize98.0ms

rewrite45.0ms

series228.0ms

simplify1.6s

prune3.1s

regimes260.0ms

bsearch11.0ms

end0.0ms