Details

sample51.0ms

Algorithm

intervals

Results

27.0ms

479×

body

valid

simplify78.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	69
5	69
4	65
3	50
2	29
1	14
0	7

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (* (* 3 y) y))
0.1b	(* (* 3 y) y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-l` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma x x (* (* 3 y) y))
14.0ms	(* (* 3 y) y)

series87.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(fma x x (* (* 3 y) y))
34.0ms	(* (* 3 y) y)

simplify2.0s

Counts

36 → 36

Iterations

Iter	Nodes
done	5005
3	1436
2	354
1	124
0	52

prune146.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (* y y) 3 (* x x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (* y y) 3 (* x x))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(fma (* y y) 3 (* x x))

simplify1.8s

Counts

13 → 13

Iterations

Iter	Nodes
done	5002
5	1380
4	336
3	111
2	58
1	34
0	21

prune66.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 3 y) y)
0.2b	(* (sqrt (fma x x (* (* 3 y) y))) (sqrt (fma x x (* (* 3 y) y))))
7.0b	(sqrt (fma x x (* (* 3 y) y)))
7.0b	(sqrt (fma x x (* (* 3 y) y)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
26×	`pow1`
24×	`sqrt-prod`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
10×	`sqrt-pow1` `pow1/2`
9×	`associate-r`
8×	`swap-sqr`
7×	`associate-l`
6×	`pow-prod-down`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-sqr`
2×	`rem-sqrt-square` `*-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 101

Calls

4 calls:

29.0ms	(* (* 3 y) y)
10.0ms	(* (sqrt (fma x x (* (* 3 y) y))) (sqrt (fma x x (* (* 3 y) y))))
1.0ms	(sqrt (fma x x (* (* 3 y) y)))
1.0ms	(sqrt (fma x x (* (* 3 y) y)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* 3 y) y)
57.0ms	(* (sqrt (fma x x (* (* 3 y) y))) (sqrt (fma x x (* (* 3 y) y))))
86.0ms	(sqrt (fma x x (* (* 3 y) y)))
80.0ms	(sqrt (fma x x (* (* 3 y) y)))

simplify2.2s

Counts

113 → 113

Iterations

Iter	Nodes
done	5012
3	2114
2	560
1	204
0	97

prune556.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

7.0b	(sqrt (fma x x (* (* 3 y) y)))
7.0b	(sqrt (fma x x (* (* 3 y) y)))
7.0b	(sqrt (fma x x (* (* 3 y) y)))
7.0b	(sqrt (fma x x (* (* 3 y) y)))

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 x x (* (* 3 y) y)))
1.0ms	(sqrt (fma x x (* (* 3 y) y)))
1.0ms	(sqrt (fma x x (* (* 3 y) y)))
1.0ms	(sqrt (fma x x (* (* 3 y) y)))

series369.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(sqrt (fma x x (* (* 3 y) y)))
93.0ms	(sqrt (fma x x (* (* 3 y) y)))
96.0ms	(sqrt (fma x x (* (* 3 y) y)))
98.0ms	(sqrt (fma x x (* (* 3 y) y)))

simplify4.5s

Counts

72 → 72

Iterations

Iter	Nodes
done	5002
9	4246
8	1826
7	827
6	369
5	193
4	117
3	85
2	53
1	43
0	28

prune462.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes234.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.3s

14242×

body

valid