Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

334×

body

valid

simplify14.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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)

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(* (fma y y 1.0) x)

simplify2.5s

Counts

23 → 23

Iterations

Useful iterations: 2 (32.0ms)

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

prune47.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.3b

localize7.0ms

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))

rewrite40.0ms

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:

9.0ms	(* (sqrt (fma y y 1.0)) x)
26.0ms	(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
1.0ms	(sqrt (fma y y 1.0))
2.0ms	(sqrt (fma y y 1.0))

series244.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (sqrt (fma y y 1.0)) x)
46.0ms	(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
54.0ms	(sqrt (fma y y 1.0))
53.0ms	(sqrt (fma y y 1.0))

simplify1.4s

Counts

89 → 89

Iterations

Useful iterations: 3 (588.0ms)

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

prune189.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x))
4.0b	(sqrt (fma y y 1.0))
4.0b	(sqrt (fma y y 1.0))
4.0b	(sqrt (fma y y 1.0))

rewrite32.0ms

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:

26.0ms	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x))
1.0ms	(sqrt (fma y y 1.0))
1.0ms	(sqrt (fma y y 1.0))
1.0ms	(sqrt (fma y y 1.0))

series452.0ms

Counts

4 → 12

Calls

4 calls:

294.0ms	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x))
53.0ms	(sqrt (fma y y 1.0))
51.0ms	(sqrt (fma y y 1.0))
55.0ms	(sqrt (fma y y 1.0))

simplify1.3s

Counts

83 → 83

Iterations

Useful iterations: 3 (620.0ms)

Iter	Nodes	Cost
0	113	1046
1	267	944
2	816	786
3	2629	772
done	5001	772

prune251.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 4.3b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

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:

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

series214.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(sqrt (fma y y 1.0))
55.0ms	(sqrt (fma y y 1.0))
51.0ms	(sqrt (fma y y 1.0))
55.0ms	(sqrt (fma y y 1.0))

simplify1.5s

Counts

72 → 72

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	45	656
1	95	592
2	237	544
3	677	540
4	2936	536
done	5001	528

prune263.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 4.3b

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample418.0ms

Algorithm

intervals

Results

192.0ms

10606×

body

valid