Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

348×

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	27	6
done	27	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize5.0ms

Local error

Found 1 expressions with local error:

4.0b	(* (fma y y 1.0) x)

rewrite9.0ms

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:

8.0ms

(* (fma y y 1.0) x)

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(* (fma y y 1.0) x)

simplify3.1s

Counts

23 → 23

Iterations

Useful iterations: 2 (41.0ms)

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

prune64.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 4.3b

localize8.0ms

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))
4.0b	(sqrt (fma y y 1.0))
4.0b	(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))

series337.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (sqrt (fma y y 1.0)) x)
61.0ms	(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
81.0ms	(sqrt (fma y y 1.0))
71.0ms	(sqrt (fma y y 1.0))

simplify1.6s

Counts

89 → 89

Iterations

Useful iterations: 3 (804.0ms)

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

prune268.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 4.3b

localize17.0ms

Local error

Found 4 expressions with local error:

4.0b	(sqrt (fma y y 1.0))
4.2b	(cbrt (fma y y 1.0))
4.2b	(cbrt (fma y y 1.0))
4.2b	(cbrt (fma y y 1.0))

rewrite11.0ms

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:

2.0ms	(sqrt (fma y y 1.0))
6.0ms	(cbrt (fma y y 1.0))
1.0ms	(cbrt (fma y y 1.0))
1.0ms	(cbrt (fma y y 1.0))

series844.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(sqrt (fma y y 1.0))
254.0ms	(cbrt (fma y y 1.0))
264.0ms	(cbrt (fma y y 1.0))
262.0ms	(cbrt (fma y y 1.0))

simplify1.6s

Counts

66 → 66

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	90	752
1	198	706
2	530	655
3	1663	630
done	5001	626

prune349.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 4.3b

localize46.0ms

Local error

Found 4 expressions with local error:

4.0b	(sqrt (fma y y 1.0))
4.2b	(cbrt (fma y y 1.0))
4.2b	(cbrt (fma y y 1.0))
4.2b	(cbrt (fma y y 1.0))

rewrite8.0ms

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

series830.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(sqrt (fma y y 1.0))
259.0ms	(cbrt (fma y y 1.0))
216.0ms	(cbrt (fma y y 1.0))
270.0ms	(cbrt (fma y y 1.0))

simplify1.7s

Counts

66 → 66

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	90	752
1	198	706
2	530	655
3	1663	630
done	5001	626

prune373.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 4.3b

regimes68.0ms

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

sample1.1s

Algorithm

intervals

Results

387.0ms

10714×

body

valid