Details

sample46.0ms

Algorithm

intervals

Results

20.0ms

381×

body

valid

simplify69.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (13.0ms)

Iter	Nodes	Cost
0	8	15
1	16	14
2	33	11
3	57	8
4	78	8
5	86	8
done	86	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma y x (* 3 (* z z)))
0.2b	(* 3 (* z z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-r` `*-commutative` `fma-udef` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

0.0ms	(fma y x (* 3 (* z z)))
22.0ms	(* 3 (* z z))

series99.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(fma y x (* 3 (* z z)))
28.0ms	(* 3 (* z z))

simplify668.0ms

Counts

37 → 37

Iterations

Useful iterations: 2 (109.0ms)

Iter	Nodes	Cost
0	51	312
1	121	296
2	670	260
done	5000	260

prune123.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma y x (* (* 3 z) z))
0.2b	(* (* 3 z) z)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-l` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma y x (* (* 3 z) z))
22.0ms	(* (* 3 z) z)

series133.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(fma y x (* (* 3 z) z))
38.0ms	(* (* 3 z) z)

simplify852.0ms

Counts

36 → 36

Iterations

Useful iterations: done (850.0ms)

Iter	Nodes	Cost
0	53	307
1	123	293
2	777	257
done	5001	253

prune97.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3 (* z z))
0.3b	(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
19.1b	(sqrt (* 3 (* z z)))
19.1b	(sqrt (* 3 (* z z)))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
12×	`add-sqr-sqrt`
11×	`add-exp-log` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`sqrt-prod`
5×	`associate-r`
4×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 117

Calls

4 calls:

18.0ms	(* 3 (* z z))
126.0ms	(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
20.0ms	(sqrt (* 3 (* z z)))
29.0ms	(sqrt (* 3 (* z z)))

series291.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* 3 (* z z))
129.0ms	(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
51.0ms	(sqrt (* 3 (* z z)))
64.0ms	(sqrt (* 3 (* z z)))

simplify1.1s

Counts

129 → 129

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	84	1176
1	219	779
2	1271	653
done	5000	641

prune373.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma y x (* 3 (* z z)))) (cbrt (fma y x (* 3 (* z z)))))
2.5b	(cbrt (fma y x (* 3 (* z z))))
2.5b	(cbrt (fma y x (* 3 (* z z))))
2.5b	(cbrt (fma y x (* 3 (* z z))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

22.0ms	(* (cbrt (fma y x (* 3 (* z z)))) (cbrt (fma y x (* 3 (* z z)))))
2.0ms	(cbrt (fma y x (* 3 (* z z))))
2.0ms	(cbrt (fma y x (* 3 (* z z))))
2.0ms	(cbrt (fma y x (* 3 (* z z))))

series921.0ms

Counts

4 → 12

Calls

4 calls:

312.0ms	(* (cbrt (fma y x (* 3 (* z z)))) (cbrt (fma y x (* 3 (* z z)))))
181.0ms	(cbrt (fma y x (* 3 (* z z))))
185.0ms	(cbrt (fma y x (* 3 (* z z))))
243.0ms	(cbrt (fma y x (* 3 (* z z))))

simplify8.1s

Counts

93 → 93

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	109	1750
1	258	1624
2	870	1485
3	4721	1280
done	5000	1280

prune515.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes145.0ms

Accuracy

0% (0.1b 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	7	8
1	9	8
done	9	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s

12223×

body

valid