Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

343×

body

valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize5.0ms

Local error

Found 1 expressions with local error:

5.5b	(* (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)

series57.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(* (fma y y 1.0) x)

simplify2.8s

Counts

23 → 23

Iterations

Useful iterations: 2 (39.0ms)

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

prune75.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.8b

localize11.0ms

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))
5.5b	(sqrt (fma y y 1.0))
5.5b	(sqrt (fma y y 1.0))

rewrite60.0ms

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)
38.0ms	(* (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))

series346.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (sqrt (fma y y 1.0)) x)
63.0ms	(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
78.0ms	(sqrt (fma y y 1.0))
80.0ms	(sqrt (fma y y 1.0))

simplify825.0ms

Counts

89 → 89

Iterations

Useful iterations: done (822.0ms)

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

prune322.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.8b

localize23.0ms

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))
5.5b	(sqrt (fma y y 1.0))
5.5b	(sqrt (fma y y 1.0))
5.5b	(sqrt (fma y y 1.0))

rewrite50.0ms

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:

39.0ms	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (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))

series389.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) x))
87.0ms	(sqrt (fma y y 1.0))
70.0ms	(sqrt (fma y y 1.0))
77.0ms	(sqrt (fma y y 1.0))

simplify1.8s

Counts

83 → 83

Iterations

Useful iterations: 3 (865.0ms)

Iter	Nodes	Cost
0	93	1046
1	226	800
2	785	706
3	3694	703
done	5000	703

prune431.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.8b

localize36.0ms

Local error

Found 4 expressions with local error:

5.5b	(sqrt (fma y y 1.0))
5.5b	(sqrt (fma y y 1.0))
5.7b	(cbrt (fma y y 1.0))
5.7b	(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))

series791.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(sqrt (fma y y 1.0))
67.0ms	(sqrt (fma y y 1.0))
355.0ms	(cbrt (fma y y 1.0))
264.0ms	(cbrt (fma y y 1.0))

simplify2.9s

Counts

68 → 68

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	90	720
1	199	668
2	670	618
3	3778	600
done	5000	600

prune435.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 5.8b

regimes115.0ms

Accuracy

0% (0.1b remaining)

Error of 5.7b against oracle of 5.6b and baseline of 5.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.2s

Algorithm

intervals

Results

374.0ms

10672×

body

valid