Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

358×

body

valid

simplify33.0ms

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize12.0ms

Local error

Found 1 expressions with local error:

5.2b	(* (fma y y 1.0) x)

rewrite14.0ms

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:

13.0ms

(* (fma y y 1.0) x)

series90.0ms

Counts

1 → 3

Calls

1 calls:

90.0ms

(* (fma y y 1.0) x)

simplify5.8s

Counts

23 → 23

Iterations

Iter	Nodes
done	5000
4	3473
3	686
2	199
1	77
0	39

prune168.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 5.5b

localize25.0ms

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))
5.2b	(sqrt (fma y y 1.0))
5.2b	(sqrt (fma y y 1.0))

rewrite82.0ms

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:

24.0ms	(* (sqrt (fma y y 1.0)) x)
48.0ms	(* (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))

series467.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(* (sqrt (fma y y 1.0)) x)
114.0ms	(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
94.0ms	(sqrt (fma y y 1.0))
85.0ms	(sqrt (fma y y 1.0))

simplify3.1s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
3	2351
2	749
1	248
0	103

prune662.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 5.5b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x))
5.2b	(sqrt (fma y y 1.0))
5.2b	(sqrt (fma y y 1.0))
5.2b	(sqrt (fma y y 1.0))

rewrite75.0ms

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:

63.0ms	(* (sqrt (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))
3.0ms	(sqrt (fma y y 1.0))

series905.0ms

Counts

4 → 12

Calls

4 calls:

592.0ms	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x))
92.0ms	(sqrt (fma y y 1.0))
113.0ms	(sqrt (fma y y 1.0))
108.0ms	(sqrt (fma y y 1.0))

simplify6.1s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
3	2626
2	838
1	273
0	113

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 5.5b

localize89.0ms

Local error

Found 4 expressions with local error:

5.2b	(sqrt (fma y y 1.0))
5.4b	(cbrt (fma y y 1.0))
5.4b	(cbrt (fma y y 1.0))
5.4b	(cbrt (fma y y 1.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

3.0ms	(sqrt (fma y y 1.0))
2.0ms	(cbrt (fma y y 1.0))
2.0ms	(cbrt (fma y y 1.0))
2.0ms	(cbrt (fma y y 1.0))

series1.2s

Counts

4 → 12

Calls

4 calls:

98.0ms	(sqrt (fma y y 1.0))
348.0ms	(cbrt (fma y y 1.0))
389.0ms	(cbrt (fma y y 1.0))
368.0ms	(cbrt (fma y y 1.0))

simplify7.4s

Counts

66 → 66

Iterations

Iter	Nodes
done	5007
3	1938
2	573
1	199
0	90

prune2.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 5.5b

regimes254.0ms

Accuracy

0% (0.1b remaining)

Error of 5.0b against oracle of 4.9b and baseline of 5.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.4s

10661×

body

valid