Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

357×

body

valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	6	7
1	14	7
2	23	6
3	28	6
done	28	6

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize5.0ms

Local error

Found 1 expressions with local error:

4.4b	(* (fma y y 1.0) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

7.0ms

(* (fma y y 1.0) x)

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(* (fma y y 1.0) x)

simplify2.2s

Counts

23 → 23

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	39	204
1	77	198
2	281	168
3	2589	168
done	5002	168

prune69.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (fma y y 1.0)) x)
0.1b	(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
4.5b	(sqrt (fma y y 1.0))
4.5b	(sqrt (fma y y 1.0))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-l`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

15.0ms	(* (sqrt (fma y y 1.0)) x)
43.0ms	(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
3.0ms	(sqrt (fma y y 1.0))
3.0ms	(sqrt (fma y y 1.0))

series328.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (sqrt (fma y y 1.0)) x)
60.0ms	(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
68.0ms	(sqrt (fma y y 1.0))
78.0ms	(sqrt (fma y y 1.0))

simplify755.0ms

Counts

89 → 89

Iterations

Useful iterations: done (752.0ms)

Iter	Nodes	Cost
0	103	1047
1	248	968
2	1041	737
done	5000	732

prune316.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 4.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x))
4.5b	(sqrt (fma y y 1.0))
4.5b	(sqrt (fma y y 1.0))
4.5b	(sqrt (fma y y 1.0))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-prod`
13×	`add-sqr-sqrt`
12×	`pow1`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `associate-l` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 71

Calls

4 calls:

47.0ms	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x))
2.0ms	(sqrt (fma y y 1.0))
2.0ms	(sqrt (fma y y 1.0))
2.0ms	(sqrt (fma y y 1.0))

series613.0ms

Counts

4 → 12

Calls

4 calls:

401.0ms	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x))
70.0ms	(sqrt (fma y y 1.0))
74.0ms	(sqrt (fma y y 1.0))
68.0ms	(sqrt (fma y y 1.0))

simplify777.0ms

Counts

83 → 83

Iterations

Useful iterations: done (775.0ms)

Iter	Nodes	Cost
0	113	1046
1	273	958
2	1050	786
done	5000	780

prune321.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 4.8b

localize22.0ms

Local error

Found 4 expressions with local error:

4.5b	(sqrt (fma y y 1.0))
4.5b	(sqrt (fma y y 1.0))
4.5b	(sqrt (fma y y 1.0))
4.5b	(sqrt (fma y y 1.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

2.0ms	(sqrt (fma y y 1.0))
2.0ms	(sqrt (fma y y 1.0))
2.0ms	(sqrt (fma y y 1.0))
2.0ms	(sqrt (fma y y 1.0))

series234.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(sqrt (fma y y 1.0))
59.0ms	(sqrt (fma y y 1.0))
54.0ms	(sqrt (fma y y 1.0))
52.0ms	(sqrt (fma y y 1.0))

simplify1.2s

Counts

72 → 72

Iterations

Useful iterations: 3 (299.0ms)

Iter	Nodes	Cost
0	45	656
1	96	592
2	328	544
3	1931	540
done	5001	540

prune377.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 4.8b

regimes49.0ms

Accuracy

0% (0.1b remaining)

Error of 5.5b against oracle of 5.5b and baseline of 5.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	9	13
done	9	13

end0.0ms

sample799.0ms

Algorithm

intervals

Results

388.0ms

10660×

body

valid