Details

sample166.0ms

Algorithm

intervals

Results

139.0ms

421×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	1250
2	261
1	75
0	28

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize100.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
0.1b	(* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))
0.2b	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

360×	`pow1`
216×	`pow-plus` `pow-prod-up`
59×	`add-cbrt-cube` `add-exp-log`
37×	`prod-exp` `cbrt-unprod`
31×	`pow-prod-down`
24×	`pow2` `pow-sqr`
15×	`add-sqr-sqrt` `associate-l`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow3`
9×	`times-frac`
7×	`associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `div-inv`

Counts

4 → 222

Calls

4 calls:

225.0ms	(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
811.0ms	(* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))
88.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
3.0ms	(sqrt PI)

series195.0ms

Counts

4 → 10

Calls

4 calls:

64.0ms	(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
69.0ms	(* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))
63.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify2.1s

Counts

232 → 232

Iterations

Iter	Nodes
done	5001
2	1970
1	503
0	190

prune882.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b	(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
0.2b	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite761.0ms

Algorithm

rewrite-expression-head

Rules

140×	`pow1`
124×	`add-exp-log`
84×	`add-cbrt-cube`
82×	`prod-exp`
60×	`pow-plus` `pow-prod-up`
52×	`cbrt-unprod`
31×	`pow-prod-down`
27×	`associate-l`
21×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
13×	`div-exp`
8×	`pow2` `cbrt-undiv` `pow-sqr`
5×	`rec-exp` `1-exp` `associate-r`
4×	`expm1-log1p-u` `pow3` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `sqrt-prod`
2×	`associate-*l/` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 181

Calls

4 calls:

556.0ms	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
156.0ms	(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
42.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series180.0ms

Counts

4 → 10

Calls

4 calls:

65.0ms	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
49.0ms	(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
64.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify2.3s

Counts

191 → 191

Iterations

Iter	Nodes
done	5001
2	2195
1	645
0	242

prune823.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
0.2b	(* (* (fabs x) (fabs x)) 1/5)
0.3b	(/ (fma (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) 1/21 (fma 2 (fabs x) (* (* (* (fabs x) (fabs x)) (fabs x)) (+ 2/3 (* (* (fabs x) (fabs x)) 1/5))))) (sqrt PI))
1.0b	(sqrt PI)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

121×	`pow1`
36×	`pow-prod-up`
26×	`pow-prod-down`
23×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
22×	`pow-sqr`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `pow-plus`
15×	`sqrt-prod`
13×	`pow2`
11×	`prod-exp` `cbrt-unprod`
6×	`associate-/r*`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l*`
2×	`associate-l` `*-commutative` `unswap-sqr`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `swap-sqr` `div-exp` `div-inv`

Counts

4 → 146

Calls

4 calls:

26.0ms	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
19.0ms	(* (* (fabs x) (fabs x)) 1/5)
5.0ms	(/ (fma (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) 1/21 (fma 2 (fabs x) (* (* (* (fabs x) (fabs x)) (fabs x)) (+ 2/3 (* (* (fabs x) (fabs x)) 1/5))))) (sqrt PI))
1.0ms	(sqrt PI)

series411.0ms

Counts

4 → 10

Calls

4 calls:

47.0ms	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
48.0ms	(* (* (fabs x) (fabs x)) 1/5)
315.0ms	(/ (fma (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) 1/21 (fma 2 (fabs x) (* (* (* (fabs x) (fabs x)) (fabs x)) (+ 2/3 (* (* (fabs x) (fabs x)) 1/5))))) (sqrt PI))
0.0ms	(sqrt PI)

simplify3.0s

Counts

156 → 156

Iterations

Iter	Nodes
done	5008
3	3402
2	1151
1	401
0	172

prune647.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
0.2b	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(expm1 (log1p (sqrt PI)))
1.0b	(sqrt PI)

rewrite298.0ms

Algorithm

rewrite-expression-head

Rules

120×	`pow1`
60×	`pow-plus` `pow-prod-up`
39×	`add-cbrt-cube` `add-exp-log`
22×	`prod-exp` `cbrt-unprod`
16×	`pow-prod-down`
14×	`add-sqr-sqrt` `associate-l`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`pow2` `pow-sqr`
4×	`expm1-log1p-u` `associate-r` `pow3` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `sqrt-prod`
2×	`*-commutative`
1×	`rem-sqrt-square` `expm1-log1p` `sqrt-pow1` `pow1/2` `associate-*l/` `div-inv` `expm1-udef`

Counts

4 → 132

Calls

4 calls:

234.0ms	(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
58.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(expm1 (log1p (sqrt PI)))
1.0ms	(sqrt PI)

series121.0ms

Counts

4 → 8

Calls

4 calls:

51.0ms	(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
69.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(expm1 (log1p (sqrt PI)))
0.0ms	(sqrt PI)

simplify2.8s

Counts

140 → 140

Iterations

Iter	Nodes
done	5000
3	4349
2	1135
1	389
0	160

prune754.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes121.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	46
1	46
0	29

end0.0ms

sample5.6s

Algorithm

intervals

Results

5.3s

13934×

body

valid