Details

sample28.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
3.0ms	100×	body	80	nan

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	5

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.8b

localize7.0ms

Local error

Found 1 expressions with local error:

19.4b

(sqrt (fma x x y))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `add-cbrt-cube` `pow1/2` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

1.0ms

(sqrt (fma x x y))

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

(sqrt (fma x x y))

simplify3.2s

Counts

18 → 18

Iterations

Iter	Nodes
done	5004
5	3233
4	1161
3	435
2	174
1	76
0	37

prune71.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (fma x x y) (sqrt (fma x x y)))
19.4b	(sqrt (fma x x y))
30.7b	(cbrt (* (fma x x y) (sqrt (fma x x y))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
9×	`pow1`
7×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
6×	`associate-r`
5×	`add-cbrt-cube` `add-exp-log`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow3` `pow-prod-up` `unswap-sqr`
1×	`cbrt-prod` `rem-sqrt-square` `pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

3 → 54

Calls

3 calls:

8.0ms	(* (fma x x y) (sqrt (fma x x y)))
2.0ms	(sqrt (fma x x y))
4.0ms	(cbrt (* (fma x x y) (sqrt (fma x x y))))

series181.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(* (fma x x y) (sqrt (fma x x y)))
54.0ms	(sqrt (fma x x y))
56.0ms	(cbrt (* (fma x x y) (sqrt (fma x x y))))

simplify2.0s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
3	1599
2	532
1	196
0	89

prune215.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (/ 1/2 x) y 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 (/ 1/2 x) y x)

series40.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(fma (/ 1/2 x) y x)

simplify2.6s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
5	2894
4	660
3	162
2	48
1	24
0	18

prune76.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* -1/2 (/ y x)) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

3×	`prod-diff` `add-log-exp`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `fma-neg` `diff-log` `add-exp-log` `log1p-expm1-u` `flip--`

Counts

1 → 18

Calls

1 calls:

15.0ms

(- (* -1/2 (/ y x)) x)

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(- (* -1/2 (/ y x)) x)

simplify1.7s

Counts

21 → 21

Iterations

Iter	Nodes
done	5063
4	3128
3	972
2	313
1	136
0	52

prune58.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes103.0ms

Accuracy

99% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.5b

bsearch51.0ms

Steps

Iters	Range		Point
7	1.9512761569531488e+87	3.570329597462732e+89	3.200301816232116e+89
10	-1.0872942423520943e+158	-1.101416214509623e+146	-1.3357280532097962e+154

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	17

end0.0ms

sample686.0ms

Algorithm

intervals

Results

323.0ms	8000×	body	80	valid
81.0ms	2706×	body	80	nan