Details

sample59.0ms

Algorithm

intervals

Results

24.0ms	200×	body	160	valid
10.0ms	56×	body	320	valid
5.0ms	256×	pre	80	true

simplify4.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2372
4	953
3	307
2	90
1	28
0	11

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.5b

localize23.0ms

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

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:

1.0ms

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

series157.0ms

Counts

1 → 3

Calls

1 calls:

157.0ms

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

simplify1.6s

Counts

13 → 13

Iterations

Iter	Nodes
done	5001
4	1396
3	265
2	91
1	39
0	24

prune66.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

26.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify1.7s

Counts

23 → 23

Iterations

Iter	Nodes
done	5009
3	1299
2	341
1	100
0	39

prune114.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (* (* t 3.9999999999999997e-32) t))
0.3b	(* (* t 3.9999999999999997e-32) t)
0.3b	(* (* t 3.9999999999999997e-32) t)
0.4b	(* (sqrt (* (* t 3.9999999999999997e-32) t)) (sqrt (* (* t 3.9999999999999997e-32) t)))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

147×	`pow1`
80×	`pow-prod-down`
63×	`sqrt-pow1`
17×	`pow-prod-up`
16×	`add-cbrt-cube` `add-exp-log`
13×	`pow1/2`
12×	`add-sqr-sqrt`
11×	`pow-sqr`
10×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-l`
5×	`sqrt-prod`
4×	`expm1-log1p-u` `swap-sqr` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `unswap-sqr`

Counts

4 → 122

Calls

4 calls:

14.0ms	(sqrt (* (* t 3.9999999999999997e-32) t))
26.0ms	(* (* t 3.9999999999999997e-32) t)
24.0ms	(* (* t 3.9999999999999997e-32) t)
132.0ms	(* (sqrt (* (* t 3.9999999999999997e-32) t)) (sqrt (* (* t 3.9999999999999997e-32) t)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(sqrt (* (* t 3.9999999999999997e-32) t))
29.0ms	(* (* t 3.9999999999999997e-32) t)
33.0ms	(* (* t 3.9999999999999997e-32) t)
100.0ms	(* (sqrt (* (* t 3.9999999999999997e-32) t)) (sqrt (* (* t 3.9999999999999997e-32) t)))

simplify1.6s

Counts

134 → 134

Iterations

Iter	Nodes
done	5007
3	1467
2	456
1	214
0	88

prune390.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* t (sqrt 3.9999999999999997e-32))
0.1b	(sqrt (* (* t 3.9999999999999997e-32) t))
0.3b	(* (* t 3.9999999999999997e-32) t)
0.4b	(* (sqrt (* (* t 3.9999999999999997e-32) t)) (* t (sqrt 3.9999999999999997e-32)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

8.0ms	(* t (sqrt 3.9999999999999997e-32))
10.0ms	(sqrt (* (* t 3.9999999999999997e-32) t))
14.0ms	(* (* t 3.9999999999999997e-32) t)
71.0ms	(* (sqrt (* (* t 3.9999999999999997e-32) t)) (* t (sqrt 3.9999999999999997e-32)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* t (sqrt 3.9999999999999997e-32))
47.0ms	(sqrt (* (* t 3.9999999999999997e-32) t))
31.0ms	(* (* t 3.9999999999999997e-32) t)
142.0ms	(* (sqrt (* (* t 3.9999999999999997e-32) t)) (* t (sqrt 3.9999999999999997e-32)))

simplify2.5s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
3	2925
2	842
1	249
0	104

prune360.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes92.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	4

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s	5996×	body	160	valid
261.0ms	2004×	body	320	valid
143.0ms	8000×	pre	80	true