Details

sample24.0ms

Algorithm

intervals

Results

9.0ms	312×	body	80	valid
1.0ms	5×	body	1280	valid
0.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify49.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	19	8
2	34	8
3	50	8
4	60	8
5	61	8
done	61	8

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `expm1-log1p-u` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

21.0ms	(* x (+ y z))
24.0ms	(+ (* x (+ y z)) (* z 5.0))

series74.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* x (+ y z))
42.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify2.4s

Counts

47 → 47

Iterations

Useful iterations: 3 (954.0ms)

Iter	Nodes	Cost
0	76	454
1	228	403
2	778	374
3	3309	369
done	5000	369

prune201.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z (+ x 5.0)))
0.0b	(* z (+ x 5.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `expm1-log1p-u` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

9.0ms	(+ (* x y) (* z (+ x 5.0)))
21.0ms	(* z (+ x 5.0))

series117.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ (* x y) (* z (+ x 5.0)))
63.0ms	(* z (+ x 5.0))

simplify3.1s

Counts

47 → 47

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	75	454
1	225	398
2	821	372
3	3867	371
done	5000	371

prune195.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 5.0))
0.0b	(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
0.3b	(* z (sqrt (+ x 5.0)))
0.3b	(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `sqrt-div`
14×	`associate-r`
13×	`sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*r/`
9×	`flip3-+` `flip-+`
6×	`add-log-exp`
4×	`expm1-log1p-u` `frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`distribute-lft-out`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `fma-def` `sqrt-pow1` `pow1/2` `sum-log` `hypot-def`

Counts

4 → 92

Calls

4 calls:

15.0ms	(sqrt (+ x 5.0))
13.0ms	(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
28.0ms	(* z (sqrt (+ x 5.0)))
53.0ms	(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

series245.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sqrt (+ x 5.0))
53.0ms	(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
83.0ms	(* z (sqrt (+ x 5.0)))
67.0ms	(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

simplify1.3s

Counts

104 → 104

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	162	1430
1	429	1038
2	1386	937
done	5000	931

prune436.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* z (fabs (cbrt (+ x 5.0)))) (sqrt (cbrt (+ x 5.0))))
0.3b	(* (* (* z (fabs (cbrt (+ x 5.0)))) (sqrt (cbrt (+ x 5.0)))) (sqrt (+ x 5.0)))
0.8b	(cbrt (+ x 5.0))
0.8b	(cbrt (+ x 5.0))

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`pow1` `add-exp-log` `add-cbrt-cube`
17×	`associate-r`
14×	`sqrt-div`
12×	`cbrt-prod` `cbrt-div`
11×	`add-sqr-sqrt` `add-cube-cbrt` `sqrt-prod`
10×	`associate-*r/`
9×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`pow1/3` `associate-l` `associate-l/` `-commutative`

Counts

4 → 96

Calls

4 calls:

65.0ms	(* (* z (fabs (cbrt (+ x 5.0)))) (sqrt (cbrt (+ x 5.0))))
193.0ms	(* (* (* z (fabs (cbrt (+ x 5.0)))) (sqrt (cbrt (+ x 5.0)))) (sqrt (+ x 5.0)))
4.0ms	(cbrt (+ x 5.0))
5.0ms	(cbrt (+ x 5.0))

series686.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(* (* z (fabs (cbrt (+ x 5.0)))) (sqrt (cbrt (+ x 5.0))))
233.0ms	(* (* (* z (fabs (cbrt (+ x 5.0)))) (sqrt (cbrt (+ x 5.0)))) (sqrt (+ x 5.0)))
126.0ms	(cbrt (+ x 5.0))
104.0ms	(cbrt (+ x 5.0))

simplify2.3s

Counts

108 → 108

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	262	2239
1	693	2047
2	2590	1852
done	5000	1720

prune673.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

607.0ms	9761×	body	80	valid
17.0ms	94×	body	1280	valid
16.0ms	109×	body	640	valid
7.0ms	70×	body	320	valid
2.0ms	26×	body	160	valid