Details

sample39.0ms

Algorithm

intervals

Results

16.0ms	191×	body	160	valid
8.0ms	65×	body	320	valid
4.0ms	256×	pre	80	true

simplify5.7s

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

localize19.0ms

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))))

series181.0ms

Counts

1 → 3

Calls

1 calls:

181.0ms

(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 (15.0ms)

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

prune52.0ms

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))

rewrite14.0ms

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:

13.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify3.6s

Counts

32 → 32

Iterations

Useful iterations: 4 (1.6s)

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

prune94.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 28

Calls

1 calls:

26.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify7.7s

Counts

31 → 31

Iterations

Useful iterations: 4 (4.2s)

Iter	Nodes	Cost
0	70	357
1	167	319
2	474	202
3	1271	202
4	4908	201
done	5000	201

prune119.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

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)))

rewrite88.0ms

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:

14.0ms	(* (sqrt 3.9999999999999997e-32) (fabs t))
20.0ms	(* (sqrt 3.9999999999999997e-32) (fabs t))
51.0ms	(* (* (sqrt 3.9999999999999997e-32) (fabs t)) (* (sqrt 3.9999999999999997e-32) (fabs t)))

series180.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* (sqrt 3.9999999999999997e-32) (fabs t))
48.0ms	(* (sqrt 3.9999999999999997e-32) (fabs t))
87.0ms	(* (* (sqrt 3.9999999999999997e-32) (fabs t)) (* (sqrt 3.9999999999999997e-32) (fabs t)))

simplify3.8s

Counts

93 → 93

Iterations

Useful iterations: 3 (781.0ms)

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

prune172.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes21.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample1.6s

Algorithm

intervals

Results

976.0ms	6090×	body	160	valid
270.0ms	1910×	body	320	valid
210.0ms	8000×	pre	80	true