Details

sample46.0ms

Algorithm

intervals

Results

17.0ms	196×	body	160	valid
8.0ms	60×	body	320	valid
4.0ms	256×	pre	80	true

simplify5.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (22.0ms)

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

localize8.0ms

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))))

series195.0ms

Counts

1 → 3

Calls

1 calls:

195.0ms

(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 (26.0ms)

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: 0.4b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 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))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify4.1s

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

prune104.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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)))

rewrite100.0ms

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:

31.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
65.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

series204.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
126.0ms	(* (sqrt 3.9999999999999997e-32) (* (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	515	457
3	1843	457
done	5000	448

prune180.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.2b	(* t (sqrt 3.9999999999999997e-32))
0.2b	(* t (sqrt 3.9999999999999997e-32))
0.4b	(* (fabs (* t (sqrt 3.9999999999999997e-32))) (fabs (* t (sqrt 3.9999999999999997e-32))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
15×	`associate-r`
14×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `associate-l` `add-cbrt-cube`
8×	`sqrt-prod`
5×	`unswap-sqr`
3×	`expm1-log1p-u` `swap-sqr` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

3 → 75

Calls

3 calls:

14.0ms	(* t (sqrt 3.9999999999999997e-32))
24.0ms	(* t (sqrt 3.9999999999999997e-32))
8.0ms	(* (fabs (* t (sqrt 3.9999999999999997e-32))) (fabs (* t (sqrt 3.9999999999999997e-32))))

series147.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* t (sqrt 3.9999999999999997e-32))
59.0ms	(* t (sqrt 3.9999999999999997e-32))
35.0ms	(* (fabs (* t (sqrt 3.9999999999999997e-32))) (fabs (* t (sqrt 3.9999999999999997e-32))))

simplify2.0s

Counts

84 → 84

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	69	748
1	125	591
2	269	527
3	503	508
4	1057	499
done	5000	494

prune197.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample915.0ms

Algorithm

intervals

Results

407.0ms	5984×	body	160	valid
206.0ms	2016×	body	320	valid
106.0ms	8000×	pre	80	true