Details

sample34.0ms

Algorithm

intervals

Results

16.0ms	200×	body	160	valid
5.0ms	56×	body	320	valid
3.0ms	256×	pre	80	true

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	11	19
1	28	18
2	91	16
3	326	16
4	1257	16
done	5000	16

prune6.0ms

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))))

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))))

simplify2.3s

Counts

13 → 13

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	24	228
1	39	228
2	111	196
3	458	196
4	3154	196
done	5000	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))

rewrite16.0ms

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:

14.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify2.7s

Counts

32 → 32

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	53	244
1	117	221
2	432	188
3	2931	188
done	5001	185

prune59.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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

series164.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
54.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))

simplify933.0ms

Counts

66 → 66

Iterations

Useful iterations: done (930.0ms)

Iter	Nodes	Cost
0	78	685
1	186	610
2	1002	473
done	5000	455

prune192.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.3b

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

0.3b

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

0.3b

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

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
33×	`sqrt-prod`
31×	`add-sqr-sqrt`
24×	`associate-l`
22×	`prod-exp`
19×	`add-cbrt-cube`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`unswap-sqr`
10×	`pow1` `associate-r` `cbrt-unprod`
6×	`unpow-prod-down`
4×	`pow-prod-down` `unpow2` `sqr-pow`
3×	`expm1-log1p-u` `pow-to-exp` `pow-exp` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

3 → 97

Calls

3 calls:

148.0ms

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

20.0ms

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

79.0ms

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

series346.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms

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

143.0ms

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

87.0ms

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

simplify2.1s

Counts

106 → 106

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	109	1461
1	270	1322
2	1768	863
done	5001	827

prune219.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes27.0ms

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

sample1.7s

Algorithm

intervals

Results

682.0ms	1988×	body	320	valid
669.0ms	6012×	body	160	valid
150.0ms	8000×	pre	80	true