Details

sample22.0ms

Algorithm

intervals

Results

11.0ms

343×

body

valid

simplify16.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	6	7
1	14	7
2	23	6
3	27	6
done	27	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize5.0ms

Local error

Found 1 expressions with local error:

4.8b	(* (fma y y 1.0) x)

rewrite10.0ms

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:

9.0ms

(* (fma y y 1.0) x)

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(* (fma y y 1.0) x)

simplify3.7s

Counts

23 → 23

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	39	204
1	77	198
2	242	168
3	827	168
4	3454	168
done	5000	168

prune63.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 5.0b

localize14.0ms

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))
4.7b	(sqrt (fma y y 1.0))
4.7b	(sqrt (fma y y 1.0))

rewrite63.0ms

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:

14.0ms	(* (sqrt (fma y y 1.0)) x)
41.0ms	(* (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))

series301.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (sqrt (fma y y 1.0)) x)
51.0ms	(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
74.0ms	(sqrt (fma y y 1.0))
72.0ms	(sqrt (fma y y 1.0))

simplify1.6s

Counts

89 → 89

Iterations

Useful iterations: 3 (708.0ms)

Iter	Nodes	Cost
0	103	1047
1	241	828
2	714	734
3	2051	729
done	5001	729

prune262.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 5.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) x))
4.7b	(sqrt (fma y y 1.0))
4.7b	(sqrt (fma y y 1.0))
4.7b	(sqrt (fma y y 1.0))

rewrite57.0ms

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:

48.0ms	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (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))

series309.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) x))
51.0ms	(sqrt (fma y y 1.0))
72.0ms	(sqrt (fma y y 1.0))
75.0ms	(sqrt (fma y y 1.0))

simplify3.3s

Counts

83 → 83

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	93	1046
1	223	800
2	622	706
3	1476	700
4	4668	697
done	5000	694

prune356.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 5.0b

localize20.0ms

Local error

Found 4 expressions with local error:

4.7b	(sqrt (fma y y 1.0))
4.7b	(sqrt (fma y y 1.0))
4.9b	(cbrt (fma y y 1.0))
4.9b	(cbrt (fma y y 1.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-prod` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 56

Calls

4 calls:

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

series606.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(sqrt (fma y y 1.0))
57.0ms	(sqrt (fma y y 1.0))
226.0ms	(cbrt (fma y y 1.0))
235.0ms	(cbrt (fma y y 1.0))

simplify1.5s

Counts

68 → 68

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	90	720
1	198	668
2	530	618
3	1663	600
done	5001	596

prune362.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 5.0b

regimes56.0ms

Accuracy

0% (0.0b remaining)

Error of 5.8b against oracle of 5.8b and baseline of 5.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	6	6
done	6	6

end0.0ms

sample750.0ms

Algorithm

intervals

Results

413.0ms

10573×

body

valid