Details

sample39.0ms

Algorithm

intervals

Results

17.0ms	316×	body	80	valid
0.0ms	1×	body	1280	valid

simplify184.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	16	7
2	44	7
3	98	7
4	158	7
5	202	7
done	202	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ z 1.0))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 32

Calls

1 calls:

50.0ms

(* (+ x y) (+ z 1.0))

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(* (+ x y) (+ z 1.0))

simplify1.3s

Counts

35 → 35

Iterations

Useful iterations: 2 (205.0ms)

Iter	Nodes	Cost
0	81	431
1	277	405
2	1149	377
done	5000	377

prune125.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (+ x y) z) (* 1.0 (+ x y)))
0.0b	(* (+ x y) z)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

29.0ms	(+ (* (+ x y) z) (* 1.0 (+ x y)))
23.0ms	(* (+ x y) z)

series95.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (* (+ x y) z) (* 1.0 (+ x y)))
40.0ms	(* (+ x y) z)

simplify1.3s

Counts

49 → 49

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	101	682
1	313	606
2	1311	515
done	5001	491

prune155.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x z (* y (+ z 1.0)))
0.0b	(* y (+ z 1.0))

rewrite37.0ms

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`
3×	`associate-l`
2×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `fma-udef` `distribute-lft-out` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

1.0ms	(fma x z (* y (+ z 1.0)))
29.0ms	(* y (+ z 1.0))

series90.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(fma x z (* y (+ z 1.0)))
39.0ms	(* y (+ z 1.0))

simplify1.4s

Counts

41 → 41

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	61	350
1	150	330
2	473	294
3	1823	294
done	5000	294

prune158.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (+ z 1.0))
0.0b	(sqrt (* (+ x y) (+ z 1.0)))
0.0b	(sqrt (* (+ x y) (+ z 1.0)))
0.3b	(* (sqrt (* (+ x y) (+ z 1.0))) (sqrt (* (+ x y) (+ z 1.0))))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

160×	`sqrt-div`
148×	`frac-times`
126×	`flip3-+` `flip-+`
61×	`pow1`
50×	`associate-r/` `associate-l/`
32×	`sqrt-pow1`
23×	`pow-prod-down`
14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`sqrt-prod` `pow-sqr`
4×	`expm1-log1p-u` `swap-sqr` `log1p-expm1-u` `add-log-exp`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 205

Calls

4 calls:

41.0ms	(* (+ x y) (+ z 1.0))
12.0ms	(sqrt (* (+ x y) (+ z 1.0)))
13.0ms	(sqrt (* (+ x y) (+ z 1.0)))
101.0ms	(* (sqrt (* (+ x y) (+ z 1.0))) (sqrt (* (+ x y) (+ z 1.0))))

series535.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (+ x y) (+ z 1.0))
132.0ms	(sqrt (* (+ x y) (+ z 1.0)))
117.0ms	(sqrt (* (+ x y) (+ z 1.0)))
245.0ms	(* (sqrt (* (+ x y) (+ z 1.0))) (sqrt (* (+ x y) (+ z 1.0))))

simplify1.8s

Counts

217 → 217

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	313	5868
1	595	4931
2	2035	4815
done	5000	4773

prune903.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes200.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	12	11
done	12	11

end0.0ms

sample942.0ms

Algorithm

intervals

Results

417.0ms	10124×	body	80	valid
0.0ms	1×	body	1280	valid