Details

sample56.0ms

Algorithm

intervals

Results

22.0ms	192×	body	160	valid
11.0ms	64×	body	320	valid
5.0ms	256×	pre	80	true

simplify5.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	11	19
1	28	18
2	91	16
3	300	16
4	946	16
5	2331	16
done	5000	16

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.6b

localize16.0ms

Local error

Found 1 expressions with local error:

50.6b

(fma (fma t 2e-16 1.0) (fma t 2e-16 1.0) (- -1.0 (* 2.0 (* t 2e-16))))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (fma t 2e-16 1.0) (fma t 2e-16 1.0) (- -1.0 (* 2.0 (* t 2e-16))))

series167.0ms

Counts

1 → 3

Calls

1 calls:

167.0ms

(fma (fma t 2e-16 1.0) (fma t 2e-16 1.0) (- -1.0 (* 2.0 (* t 2e-16))))

simplify1.5s

Counts

13 → 13

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	24	228
1	39	228
2	98	196
3	327	196
4	1914	196
done	5002	196

prune44.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 3.9999999999999997e-32 (pow t 2))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `expm1-log1p-u` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

16.0ms

(* 3.9999999999999997e-32 (pow t 2))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* 3.9999999999999997e-32 (pow t 2))

simplify3.9s

Counts

32 → 32

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	53	244
1	109	221
2	237	188
3	672	188
4	3356	185
done	5001	185

prune68.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (* t 3.9999999999999997e-32) (pow t (/ 2 2)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

32.0ms

(* (* t 3.9999999999999997e-32) (pow t (/ 2 2)))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(* (* t 3.9999999999999997e-32) (pow t (/ 2 2)))

simplify3.1s

Counts

29 → 29

Iterations

Useful iterations: 3 (848.0ms)

Iter	Nodes	Cost
0	59	344
1	149	251
2	438	172
3	1545	169
done	5001	169

prune73.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (sqrt 3.9999999999999997e-32) (pow t 2))
0.3b	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`add-exp-log`
12×	`associate-l`
10×	`prod-exp` `sqrt-prod`
9×	`associate-r` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity` `unswap-sqr`
5×	`unpow-prod-down`
4×	`pow1` `cbrt-unprod`
3×	`unpow2` `sqr-pow`
2×	`expm1-log1p-u` `pow-to-exp` `pow-exp` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down`

Counts

2 → 60

Calls

2 calls:

25.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
61.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

series192.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
102.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

simplify3.2s

Counts

66 → 66

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	78	685
1	170	526
2	515	457
3	1843	457
done	5000	448

prune157.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes37.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	7	9
1	10	7
2	12	5
done	12	5

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s	6021×	body	160	valid
298.0ms	1979×	body	320	valid
118.0ms	8000×	pre	80	true