Details

sample51.0ms

Algorithm

intervals

Results

20.0ms	196×	body	160	valid
9.0ms	60×	body	320	valid
5.0ms	256×	pre	80	true

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (20.0ms)

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.5b

localize25.0ms

Local error

Found 1 expressions with local error:

50.5b

(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))))

series197.0ms

Counts

1 → 3

Calls

1 calls:

196.0ms

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

simplify2.1s

Counts

13 → 13

Iterations

Useful iterations: 2 (29.0ms)

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

prune32.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b	(* 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))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify3.0s

Counts

32 → 32

Iterations

Useful iterations: done (3.0s)

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

prune83.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

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)))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify730.0ms

Counts

31 → 31

Iterations

Useful iterations: done (729.0ms)

Iter	Nodes	Cost
0	70	357
1	176	319
2	997	238
done	5001	234

prune91.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
0.3b	(* (sqrt 3.9999999999999997e-32) (pow t 2))

rewrite61.0ms

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)))
16.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))

series163.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
65.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))

simplify1.1s

Counts

66 → 66

Iterations

Useful iterations: done (1.1s)

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

prune116.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	9	9
done	9	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

737.0ms	5933×	body	160	valid
354.0ms	2067×	body	320	valid
119.0ms	8000×	pre	80	true