Details

sample55.0ms

Algorithm

intervals

Results

22.0ms	194×	body	160	valid
11.0ms	62×	body	320	valid
5.0ms	256×	pre	80	true

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	11	19
1	28	18
2	91	16
3	327	16
4	1274	16
done	5000	16

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.6b

localize11.0ms

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

series186.0ms

Counts

1 → 3

Calls

1 calls:

186.0ms

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

simplify1.9s

Counts

13 → 13

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	24	228
1	39	228
2	115	196
3	470	196
4	3194	196
done	5000	196

prune85.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 29

Calls

1 calls:

10.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify1.8s

Counts

32 → 32

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	53	244
1	117	221
2	411	188
3	2523	188
done	5001	185

prune78.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

17.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify931.0ms

Counts

29 → 29

Iterations

Useful iterations: 2 (227.0ms)

Iter	Nodes	Cost
0	59	344
1	172	255
2	1227	172
done	5000	172

prune128.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

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))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`add-exp-log`
12×	`associate-l`
10×	`prod-exp` `sqrt-prod`
9×	`add-cbrt-cube` `associate-r`
8×	`*-un-lft-identity` `add-cube-cbrt` `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:

45.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
25.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))

series159.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
70.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))

simplify823.0ms

Counts

66 → 66

Iterations

Useful iterations: done (821.0ms)

Iter	Nodes	Cost
0	78	685
1	186	610
2	1014	473
done	5001	455

prune149.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes71.0ms

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 (3.0ms)

Iter	Nodes	Cost
0	7	9
1	10	7
2	14	5
3	18	5
4	20	5
done	20	5

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s	5938×	body	160	valid
317.0ms	2062×	body	320	valid
265.0ms	8000×	pre	80	true