Details

sample22.0ms

Algorithm

intervals

Results

8.0ms	192×	body	160	valid
4.0ms	64×	body	320	valid
2.0ms	256×	pre	80	true

simplify804.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	11	19
1	28	18
2	83	16
3	263	16
4	855	16
5	2031	16
done	5000	16

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.5b

localize11.0ms

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:

0.0ms

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

series118.0ms

Counts

1 → 3

Calls

1 calls:

118.0ms

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

simplify698.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	24	228
1	39	228
2	104	196
3	346	196
4	1854	196
done	5001	196

prune30.0ms

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))

rewrite10.0ms

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:

9.0ms

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

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify1.6s

Counts

32 → 32

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	53	244
1	112	221
2	413	188
3	1762	188
done	5000	188

prune53.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

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)))

rewrite23.0ms

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:

8.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
13.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

series119.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
72.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

simplify3.3s

Counts

66 → 66

Iterations

Useful iterations: 3 (450.0ms)

Iter	Nodes	Cost
0	78	685
1	179	526
2	725	457
3	3227	455
done	5000	455

prune106.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.1b	(* t (sqrt 3.9999999999999997e-32))
0.2b	(* (* t (sqrt 3.9999999999999997e-32)) t)
0.3b	(* (sqrt 3.9999999999999997e-32) (* (* t (sqrt 3.9999999999999997e-32)) t))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt`
10×	`associate-r` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`unswap-sqr`

Counts

3 → 70

Calls

3 calls:

5.0ms	(* t (sqrt 3.9999999999999997e-32))
10.0ms	(* (* t (sqrt 3.9999999999999997e-32)) t)
30.0ms	(* (sqrt 3.9999999999999997e-32) (* (* t (sqrt 3.9999999999999997e-32)) t))

series157.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* t (sqrt 3.9999999999999997e-32))
46.0ms	(* (* t (sqrt 3.9999999999999997e-32)) t)
71.0ms	(* (sqrt 3.9999999999999997e-32) (* (* t (sqrt 3.9999999999999997e-32)) t))

simplify8.9s

Counts

79 → 79

Iterations

Useful iterations: 3 (599.0ms)

Iter	Nodes	Cost
0	84	725
1	203	574
2	911	482
3	4657	478
done	5000	478

prune101.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes28.0ms

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	6	9
1	9	9
done	9	9

end0.0ms

sample550.0ms

Algorithm

intervals

Results

253.0ms	5968×	body	160	valid
136.0ms	2032×	body	320	valid
71.0ms	8000×	pre	80	true