Details

sample56.0ms

Algorithm

intervals

Results

26.0ms	191×	body	160	valid
10.0ms	65×	body	320	valid
4.0ms	256×	pre	80	true

simplify5.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (19.0ms)

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

localize9.0ms

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))))

series149.0ms

Counts

1 → 3

Calls

1 calls:

149.0ms

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

simplify1.4s

Counts

13 → 13

Iterations

Useful iterations: 2 (14.0ms)

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

prune34.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

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))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify3.7s

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

prune80.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

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:

26.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify2.8s

Counts

29 → 29

Iterations

Useful iterations: 3 (690.0ms)

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

prune90.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (sqrt 3.9999999999999997e-32) (fabs t))
0.1b	(* (sqrt 3.9999999999999997e-32) (fabs t))
0.4b	(* (* (sqrt 3.9999999999999997e-32) (fabs t)) (* (sqrt 3.9999999999999997e-32) (fabs t)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

46×	`pow1`
19×	`add-exp-log` `pow-prod-down` `add-cbrt-cube`
17×	`add-sqr-sqrt`
13×	`associate-l`
10×	`prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-prod`
7×	`associate-r`
4×	`pow-sqr` `pow-prod-up` `unswap-sqr`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

3 → 84

Calls

3 calls:

27.0ms	(* (sqrt 3.9999999999999997e-32) (fabs t))
22.0ms	(* (sqrt 3.9999999999999997e-32) (fabs t))
54.0ms	(* (* (sqrt 3.9999999999999997e-32) (fabs t)) (* (sqrt 3.9999999999999997e-32) (fabs t)))

series224.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* (sqrt 3.9999999999999997e-32) (fabs t))
52.0ms	(* (sqrt 3.9999999999999997e-32) (fabs t))
130.0ms	(* (* (sqrt 3.9999999999999997e-32) (fabs t)) (* (sqrt 3.9999999999999997e-32) (fabs t)))

simplify4.0s

Counts

93 → 93

Iterations

Useful iterations: 3 (773.0ms)

Iter	Nodes	Cost
0	63	863
1	128	648
2	474	548
3	1627	543
done	5000	543

prune191.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes24.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 2 (3.0ms)

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

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s	6090×	body	160	valid
368.0ms	1910×	body	320	valid
158.0ms	8000×	pre	80	true