Details

sample60.0ms

Algorithm

intervals

Results

17.0ms	236×	body	80	nan
13.0ms	266×	body	80	valid

simplify204.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	10	10
1	21	10
2	51	9
3	85	9
4	121	9
5	140	9
6	157	9
7	173	9
8	175	9
done	175	9

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

0.2b	(fma (sqrt z) y x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (sqrt z) y x)

series93.0ms

Counts

1 → 3

Calls

1 calls:

93.0ms

(fma (sqrt z) y x)

simplify3.2s

Counts

13 → 13

Iterations

Useful iterations: 5 (1.6s)

Iter	Nodes	Cost
0	31	116
1	71	113
2	171	97
3	394	95
4	1016	95
5	2924	92
done	5001	92

prune71.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

16.0ms	(+ (* (sqrt z) y) x)
13.0ms	(* (sqrt z) y)

series144.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(+ (* (sqrt z) y) x)
71.0ms	(* (sqrt z) y)

simplify3.2s

Counts

44 → 44

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	90	398
1	241	350
2	673	322
3	1899	312
done	5000	307

prune145.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.2b	(* (sqrt (sqrt z)) y)
0.3b	(* (sqrt (sqrt z)) (* (sqrt (sqrt z)) y))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-l`
15×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
4×	`expm1-log1p-u` `rem-sqrt-square` `pow1/2` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 96

Calls

4 calls:

3.0ms	(sqrt (sqrt z))
3.0ms	(sqrt (sqrt z))
25.0ms	(* (sqrt (sqrt z)) y)
50.0ms	(* (sqrt (sqrt z)) (* (sqrt (sqrt z)) y))

series577.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(sqrt (sqrt z))
156.0ms	(sqrt (sqrt z))
160.0ms	(* (sqrt (sqrt z)) y)
67.0ms	(* (sqrt (sqrt z)) (* (sqrt (sqrt z)) y))

simplify3.0s

Counts

108 → 108

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	134	948
1	336	754
2	1002	688
3	2785	672
done	5000	664

prune431.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sqrt (sqrt z)) (* (pow z 1/4) y)) x)
0.1b	(sqrt (sqrt z))
0.2b	(* (pow z 1/4) y)
0.3b	(* (sqrt (sqrt z)) (* (pow z 1/4) y))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-sqr-sqrt` `sqrt-prod`
16×	`associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`prod-exp`
8×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `unpow-prod-down` `sqrt-pow1` `associate-r` `cbrt-unprod` `log1p-expm1-u`
3×	`unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp` `*-commutative` `sqr-pow`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `sum-log` `flip-+`

Counts

4 → 89

Calls

4 calls:

26.0ms	(+ (* (sqrt (sqrt z)) (* (pow z 1/4) y)) x)
3.0ms	(sqrt (sqrt z))
16.0ms	(* (pow z 1/4) y)
35.0ms	(* (sqrt (sqrt z)) (* (pow z 1/4) y))

series723.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(+ (* (sqrt (sqrt z)) (* (pow z 1/4) y)) x)
193.0ms	(sqrt (sqrt z))
145.0ms	(* (pow z 1/4) y)
154.0ms	(* (sqrt (sqrt z)) (* (pow z 1/4) y))

simplify1.5s

Counts

101 → 101

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	188	1152
1	498	1023
2	1585	943
done	5000	899

prune451.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes182.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	10	9
done	10	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

799.0ms	8437×	body	80	nan
573.0ms	8528×	body	80	valid