Details

sample1.2s

Algorithm

intervals

Results

1.1s

3444×

body

valid

simplify4.9s

Counts: 1 → 1

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize62.0ms

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))))))
0.4b	(/ (/ 1 (fabs x)) (* (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)))))) (/ 1 (fabs x))) (/ (sqrt PI) (exp (* (fabs x) (fabs x)))))

rewrite555.0ms

Algorithm

rewrite-expression-head

Rules

196×	`times-frac`
113×	`add-sqr-sqrt`
109×	`*-un-lft-identity`
103×	`add-cube-cbrt`
62×	`add-exp-log`
39×	`add-cbrt-cube` `sqrt-prod`
27×	`div-exp`
23×	`associate-/r*`
21×	`pow1`
17×	`associate-l` `frac-add` `prod-exp`
16×	`associate-/l*`
15×	`cbrt-undiv`
12×	`associate-/l/`
10×	`div-inv`
9×	`flip3-+` `cbrt-unprod` `flip-+`
8×	`frac-times` `associate-*r/` `pow-div`
5×	`associate-r`
4×	`rec-exp` `1-exp` `insert-posit16` `pow-flip` `inv-pow` `add-log-exp` `unswap-sqr`
3×	`distribute-lft-out`
2×	`pow2` `clear-num` `frac-2neg` `pow-plus` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-/r/` `*-commutative`

Counts

4 → 252

Calls

4 calls:

Slowest

272.0ms	(/ (+ (* (/ (/ 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)))))
261.0ms	(* (/ (/ 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))))))
11.0ms	(/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))
2.0ms	(sqrt PI)

series688.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

453.0ms	(/ (+ (* (/ (/ 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)))))
195.0ms	(* (/ (/ 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))))))
40.0ms	(/ (/ 1 (fabs x)) (* (fabs x) (fabs x)))
0.0ms	(sqrt PI)

simplify1.5s

Counts: 262 → 262

prune4.0s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (fabs x) (fabs x)) (fabs x))
0.2b	(/ 1/2 (* (* (fabs x) (fabs x)) (fabs x)))
0.2b	(/ 15/8 (pow (fabs x) 7))
0.2b	(/ 3/4 (pow (fabs x) 5))

rewrite54.0ms

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`
23×	`pow1`
22×	`add-cbrt-cube`
15×	`associate-/r*`
9×	`div-exp` `associate-/l*`
8×	`sqr-pow`
6×	`pow-plus` `prod-exp` `pow-prod-up` `cbrt-unprod`
5×	`cbrt-undiv`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `pow-prod-down` `div-inv`
2×	`pow2` `pow-to-exp` `pow-exp` `pow-sqr`
1×	`associate-l` `pow3` `*-commutative` `unswap-sqr`

Counts

4 → 145

Calls

4 calls:

Slowest

24.0ms	(* (* (fabs x) (fabs x)) (fabs x))
18.0ms	(/ 1/2 (* (* (fabs x) (fabs x)) (fabs x)))
5.0ms	(/ 3/4 (pow (fabs x) 5))
5.0ms	(/ 15/8 (pow (fabs x) 7))

series196.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

81.0ms	(/ 15/8 (pow (fabs x) 7))
53.0ms	(/ 3/4 (pow (fabs x) 5))
33.0ms	(/ 1/2 (* (* (fabs x) (fabs x)) (fabs x)))
29.0ms	(* (* (fabs x) (fabs x)) (fabs x))

simplify1.7s

Counts: 157 → 157

prune2.8s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize99.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (/ (pow (fabs x) 7) 15/8))
0.3b	(* (* (fabs x) (fabs x)) (fabs x))
0.2b	(/ 1/2 (* (* (fabs x) (fabs x)) (fabs x)))
0.2b	(/ 3/4 (pow (fabs x) 5))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

183×	`times-frac`
106×	`add-sqr-sqrt`
105×	`*-un-lft-identity` `add-cube-cbrt`
48×	`unpow-prod-down`
45×	`add-exp-log`
33×	`associate-/r*`
25×	`add-cbrt-cube`
24×	`pow1`
23×	`div-exp`
16×	`sqr-pow`
9×	`associate-/l*`
7×	`cbrt-undiv` `div-inv`
6×	`pow-plus` `prod-exp` `pow-prod-up` `cbrt-unprod`
4×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `pow-prod-down`
2×	`pow2` `pow-sqr`
1×	`associate-l` `pow3` `associate-/r/` `*-commutative` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 230

Calls

4 calls:

Slowest

15.0ms	(* (* (fabs x) (fabs x)) (fabs x))
15.0ms	(/ 1 (/ (pow (fabs x) 7) 15/8))
14.0ms	(/ 1/2 (* (* (fabs x) (fabs x)) (fabs x)))
5.0ms	(/ 3/4 (pow (fabs x) 5))

series207.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

87.0ms	(/ 1 (/ (pow (fabs x) 7) 15/8))
55.0ms	(/ 3/4 (pow (fabs x) 5))
39.0ms	(/ 1/2 (* (* (fabs x) (fabs x)) (fabs x)))
26.0ms	(* (* (fabs x) (fabs x)) (fabs x))

simplify945.0ms

Counts: 242 → 242

prune4.7s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (sqrt 1/2) (* (fabs x) (fabs x)))
0.4b	(/ (sqrt 1/2) (fabs x))
0.4b	(* (/ (sqrt 1/2) (* (fabs x) (fabs x))) (/ (sqrt 1/2) (fabs x)))
0.3b	(/ 1 (/ (pow (fabs x) 7) 15/8))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

219×	`times-frac`
145×	`add-sqr-sqrt`
121×	`*-un-lft-identity` `add-cube-cbrt`
54×	`add-exp-log`
37×	`add-cbrt-cube`
36×	`unpow-prod-down` `sqrt-prod`
29×	`associate-/r*`
27×	`div-exp`
22×	`associate-r`
15×	`associate-/l*`
13×	`cbrt-undiv`
12×	`sqr-pow`
10×	`associate-l`
9×	`prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
7×	`pow1`
4×	`rec-exp` `1-exp` `insert-posit16` `add-log-exp`
3×	`pow-to-exp` `clear-num` `frac-2neg` `pow-exp`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `associate-/r/` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 265

Calls

4 calls:

Slowest

29.0ms	(* (/ (sqrt 1/2) (* (fabs x) (fabs x))) (/ (sqrt 1/2) (fabs x)))
15.0ms	(/ 1 (/ (pow (fabs x) 7) 15/8))
7.0ms	(/ (sqrt 1/2) (* (fabs x) (fabs x)))
5.0ms	(/ (sqrt 1/2) (fabs x))

series309.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

134.0ms	(* (/ (sqrt 1/2) (* (fabs x) (fabs x))) (/ (sqrt 1/2) (fabs x)))
67.0ms	(/ 1 (/ (pow (fabs x) 7) 15/8))
59.0ms	(/ (sqrt 1/2) (* (fabs x) (fabs x)))
48.0ms	(/ (sqrt 1/2) (fabs x))

simplify1.4s

Counts: 277 → 277

prune5.6s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

Details

sample1.2s

simplify4.9s

prune23.0ms

localize62.0ms

rewrite555.0ms

series688.0ms

simplify1.5s

prune4.0s

localize85.0ms

rewrite54.0ms

series196.0ms

simplify1.7s

prune2.8s

localize99.0ms

rewrite53.0ms

series207.0ms

simplify945.0ms

prune4.7s

localize72.0ms

rewrite64.0ms

series309.0ms

simplify1.4s

prune5.6s

regimes297.0ms

bsearch13.0ms

end0.0ms