Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

348×

body

valid

simplify17.0ms

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize8.0ms

Local error

Found 1 expressions with local error:

3.1b	(* (fma y y 1.0) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
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)

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(* (fma y y 1.0) x)

simplify2.4s

Counts

23 → 23

Iterations

Iter	Nodes
done	5002
4	3597
3	659
2	199
1	77
0	39

prune95.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.3b

localize19.0ms

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))
3.1b	(sqrt (fma y y 1.0))
3.1b	(sqrt (fma y y 1.0))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-l`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
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:

11.0ms	(* (sqrt (fma y y 1.0)) x)
27.0ms	(* (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))

series329.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (sqrt (fma y y 1.0)) x)
57.0ms	(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
75.0ms	(sqrt (fma y y 1.0))
74.0ms	(sqrt (fma y y 1.0))

simplify1.7s

Counts

89 → 89

Iterations

Iter	Nodes
done	5003
3	2483
2	752
1	250
0	103

prune410.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 3.3b

localize34.0ms

Local error

Found 4 expressions with local error:

3.1b	(sqrt (fma y y 1.0))
3.3b	(cbrt (fma y y 1.0))
3.3b	(cbrt (fma y y 1.0))
3.3b	(cbrt (fma y y 1.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `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:

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

58.0ms	(sqrt (fma y y 1.0))
223.0ms	(cbrt (fma y y 1.0))
261.0ms	(cbrt (fma y y 1.0))
249.0ms	(cbrt (fma y y 1.0))

simplify1.4s

Counts

66 → 66

Iterations

Iter	Nodes
done	5004
3	1865
2	568
1	205
0	90

prune473.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 3.3b

localize42.0ms

Local error

Found 4 expressions with local error:

3.1b	(sqrt (fma y y 1.0))
3.1b	(sqrt (fma y y 1.0))
3.1b	(sqrt (fma y y 1.0))
3.1b	(sqrt (fma y y 1.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `add-cbrt-cube` `pow1/2` `add-exp-log` `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))
1.0ms	(sqrt (fma y y 1.0))

series284.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sqrt (fma y y 1.0))
82.0ms	(sqrt (fma y y 1.0))
73.0ms	(sqrt (fma y y 1.0))
67.0ms	(sqrt (fma y y 1.0))

simplify2.9s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
4	4500
3	931
2	275
1	98
0	45

prune425.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 3.3b

regimes119.0ms

Accuracy

0% (0.1b remaining)

Error of 5.1b against oracle of 5.0b and baseline of 5.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample714.0ms

Algorithm

intervals

Results

336.0ms

10718×

body

valid