Details

sample34.0ms

Algorithm

intervals

Results

12.0ms	198×	body	160	valid
5.0ms	58×	body	320	valid
3.0ms	256×	pre	80	true

simplify6.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.6b

localize10.0ms

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:

0.0ms

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

series183.0ms

Counts

1 → 3

Calls

1 calls:

183.0ms

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

simplify1.7s

Counts

13 → 13

Iterations

Useful iterations: 2 (26.0ms)

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: 0.4b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

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:

21.0ms

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify4.4s

Counts

32 → 32

Iterations

Useful iterations: 4 (1.7s)

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

prune87.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite48.0ms

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:

47.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify3.0s

Counts

29 → 29

Iterations

Useful iterations: 3 (816.0ms)

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

prune69.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite78.0ms

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:

43.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
33.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))

series175.0ms

Counts

2 → 6

Calls

2 calls:

108.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
66.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))

simplify3.0s

Counts

66 → 66

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	78	685
1	170	526
2	521	457
3	1792	457
done	5001	448

prune146.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 2 (2.0ms)

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

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.3s	5981×	body	160	valid
309.0ms	2019×	body	320	valid
209.0ms	8000×	pre	80	true