Details

sample77.0ms

Algorithm

intervals

Results

53.0ms

465×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5013
4	3015
3	855
2	226
1	69
0	28

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize108.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
35×	`add-cbrt-cube` `add-exp-log`
18×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
15×	`associate-l`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow-plus` `pow-prod-down` `pow-prod-up`
9×	`times-frac`
7×	`associate-r`
4×	`pow2` `pow-sqr` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative` `sqrt-prod`
2×	`pow3` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `div-inv`

Counts

4 → 107

Calls

4 calls:

26.0ms	(* (* (fabs x) (fabs x)) (fabs x))
15.0ms	(* (* (fabs x) (fabs x)) (fabs x))
65.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series149.0ms

Counts

4 → 10

Calls

4 calls:

28.0ms	(* (* (fabs x) (fabs x)) (fabs x))
40.0ms	(* (* (fabs x) (fabs x)) (fabs x))
81.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify3.6s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
3	4703
2	1184
1	340
0	130

prune984.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize128.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
35×	`add-cbrt-cube` `add-exp-log`
18×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
15×	`associate-l`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow-plus` `pow-prod-down` `pow-prod-up`
9×	`times-frac`
7×	`associate-r`
4×	`pow2` `pow-sqr` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative` `sqrt-prod`
2×	`pow3` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `div-inv`

Counts

4 → 107

Calls

4 calls:

24.0ms	(* (* (fabs x) (fabs x)) (fabs x))
28.0ms	(* (* (fabs x) (fabs x)) (fabs x))
77.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series124.0ms

Counts

4 → 10

Calls

4 calls:

37.0ms	(* (* (fabs x) (fabs x)) (fabs x))
30.0ms	(* (* (fabs x) (fabs x)) (fabs x))
57.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify3.1s

Counts

117 → 117

Iterations

Iter	Nodes
done	5005
3	4743
2	1193
1	346
0	132

prune823.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
0.2b	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
0.2b	(* (/ 2.0 3.0) (* (fabs x) (fabs x)))
1.0b	(sqrt PI)

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

232×	`pow1`
72×	`pow-prod-up`
49×	`pow-prod-down`
44×	`pow-sqr`
40×	`add-cbrt-cube` `add-exp-log`
36×	`pow-plus`
26×	`pow2`
22×	`prod-exp` `cbrt-unprod`
16×	`add-sqr-sqrt`
15×	`associate-l`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`times-frac`
4×	`add-log-exp` `unswap-sqr`
3×	`associate-r` `*-commutative` `sqrt-prod`
2×	`cbrt-undiv` `swap-sqr` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `div-inv`

Counts

4 → 174

Calls

4 calls:

25.0ms	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
48.0ms	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
20.0ms	(* (/ 2.0 3.0) (* (fabs x) (fabs x)))
1.0ms	(sqrt PI)

series114.0ms

Counts

4 → 10

Calls

4 calls:

35.0ms	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
40.0ms	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
39.0ms	(* (/ 2.0 3.0) (* (fabs x) (fabs x)))
0.0ms	(sqrt PI)

simplify3.1s

Counts

184 → 184

Iterations

Iter	Nodes
done	5001
3	3899
2	1289
1	392
0	137

prune740.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize105.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* 1.0 (* (fabs x) (fabs x))) 21.0)
0.2b	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
0.2b	(* (/ 2.0 3.0) (* (fabs x) (fabs x)))
1.0b	(sqrt PI)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

121×	`pow1`
37×	`add-cbrt-cube` `add-exp-log`
36×	`pow-prod-up`
26×	`pow-prod-down`
22×	`pow-sqr`
18×	`add-sqr-sqrt` `pow-plus`
17×	`prod-exp` `cbrt-unprod`
14×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
13×	`pow2` `times-frac`
5×	`cbrt-undiv` `div-exp`
4×	`add-log-exp`
3×	`associate-/r*` `sqrt-prod` `unswap-sqr`
2×	`associate-r` `*-commutative` `div-inv`
1×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `swap-sqr` `associate-l/` `associate-/l`

Counts

4 → 134

Calls

4 calls:

32.0ms	(/ (* 1.0 (* (fabs x) (fabs x))) 21.0)
25.0ms	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
31.0ms	(* (/ 2.0 3.0) (* (fabs x) (fabs x)))
2.0ms	(sqrt PI)

series122.0ms

Counts

4 → 10

Calls

4 calls:

48.0ms	(/ (* 1.0 (* (fabs x) (fabs x))) 21.0)
34.0ms	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
39.0ms	(* (/ 2.0 3.0) (* (fabs x) (fabs x)))
0.0ms	(sqrt PI)

simplify2.1s

Counts

144 → 144

Iterations

Iter	Nodes
done	5003
2	1901
1	523
0	182

prune870.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes105.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	47
1	47
0	32

end0.0ms

sample3.5s

Algorithm

intervals

Results

3.2s

13963×

body

valid