Details

sample155.0ms

Algorithm

intervals

Results

40.0ms	862×	body	80	nan
15.0ms	256×	body	80	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	9
2	9
1	8
0	6

prune36.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ 1.0 x) 1.0)
0.2b	(log (- (/ 1.0 x) 1.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
44×	`add-cube-cbrt`
39×	`prod-diff`
38×	`times-frac`
13×	`fma-neg`
6×	`log-prod`
4×	`div-inv` `add-log-exp` `difference-of-squares`
3×	`pow1` `add-exp-log`
2×	`expm1-log1p-u` `log-div` `flip3--` `add-cbrt-cube` `log1p-expm1-u` `flip--` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `rem-log-exp` `log-pow`

Counts

2 → 88

Calls

2 calls:

19.0ms	(- (/ 1.0 x) 1.0)
16.0ms	(log (- (/ 1.0 x) 1.0))

series173.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(- (/ 1.0 x) 1.0)
106.0ms	(log (- (/ 1.0 x) 1.0))

simplify855.0ms

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
2	1087
1	348
0	157

prune339.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))
0.0b	(+ (log (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))))
0.2b	(/ (sqrt 1.0) (sqrt x))
0.2b	(/ (sqrt 1.0) (sqrt x))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

482×	`sqrt-prod`
374×	`add-sqr-sqrt`
340×	`times-frac`
328×	`*-un-lft-identity`
318×	`add-cube-cbrt`
240×	`prod-diff`
40×	`fma-neg`
20×	`difference-of-squares`
18×	`log-prod`
14×	`associate-+r+`
12×	`associate-/r` `associate-/l`
9×	`pow1` `div-inv`
8×	`add-cbrt-cube` `add-exp-log`
6×	`add-log-exp`
5×	`log-pow` `distribute-lft-out`
4×	`expm1-log1p-u` `log-div` `associate-+l+` `fma-def` `log1p-expm1-u`
2×	`cbrt-undiv` `sqrt-undiv` `clear-num` `associate-+r-` `frac-2neg` `flip3-+` `flip3--` `div-exp` `associate-+l-` `flip-+` `flip--` `distribute-lft-out--`
1×	`+-commutative` `sum-log` `sub-neg` `diff-log`

Counts

4 → 474

Calls

4 calls:

62.0ms	(- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))
71.0ms	(+ (log (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))))
7.0ms	(/ (sqrt 1.0) (sqrt x))
10.0ms	(/ (sqrt 1.0) (sqrt x))

series782.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))
483.0ms	(+ (log (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))))
97.0ms	(/ (sqrt 1.0) (sqrt x))
101.0ms	(/ (sqrt 1.0) (sqrt x))

simplify1.4s

Counts

486 → 486

Iterations

Iter	Nodes
done	5001
2	2976
1	835
0	371

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt 1.0) (sqrt x))
0.2b	(/ (sqrt 1.0) (sqrt x))
0.2b	(/ (sqrt 1.0) (sqrt x))
0.6b	(fma (sqrt (/ (sqrt 1.0) (sqrt x))) (sqrt (/ (sqrt 1.0) (sqrt x))) (- (sqrt 1.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

126×	`sqrt-prod`
108×	`times-frac`
88×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`associate-/r` `associate-/l`
10×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `sqrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`
1×	`fma-udef`

Counts

4 → 199

Calls

4 calls:

6.0ms	(/ (sqrt 1.0) (sqrt x))
7.0ms	(/ (sqrt 1.0) (sqrt x))
7.0ms	(/ (sqrt 1.0) (sqrt x))
0.0ms	(fma (sqrt (/ (sqrt 1.0) (sqrt x))) (sqrt (/ (sqrt 1.0) (sqrt x))) (- (sqrt 1.0)))

series1.0s

Counts

4 → 12

Calls

4 calls:

99.0ms	(/ (sqrt 1.0) (sqrt x))
119.0ms	(/ (sqrt 1.0) (sqrt x))
117.0ms	(/ (sqrt 1.0) (sqrt x))
675.0ms	(fma (sqrt (/ (sqrt 1.0) (sqrt x))) (sqrt (/ (sqrt 1.0) (sqrt x))) (- (sqrt 1.0)))

simplify704.0ms

Counts

211 → 211

Iterations

Iter	Nodes
done	5000
2	1182
1	291
0	143

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (/ 1.0 x) 1.0)) (cbrt (- (/ 1.0 x) 1.0)))
0.8b	(cbrt (- (/ 1.0 x) 1.0))
0.8b	(cbrt (- (/ 1.0 x) 1.0))
0.8b	(cbrt (- (/ 1.0 x) 1.0))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
50×	`cbrt-prod`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`difference-of-squares`
11×	`pow1` `swap-sqr`
9×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
7×	`times-frac`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 115

Calls

4 calls:

128.0ms	(* (cbrt (- (/ 1.0 x) 1.0)) (cbrt (- (/ 1.0 x) 1.0)))
9.0ms	(cbrt (- (/ 1.0 x) 1.0))
9.0ms	(cbrt (- (/ 1.0 x) 1.0))
9.0ms	(cbrt (- (/ 1.0 x) 1.0))

series863.0ms

Counts

4 → 12

Calls

4 calls:

257.0ms	(* (cbrt (- (/ 1.0 x) 1.0)) (cbrt (- (/ 1.0 x) 1.0)))
238.0ms	(cbrt (- (/ 1.0 x) 1.0))
197.0ms	(cbrt (- (/ 1.0 x) 1.0))
171.0ms	(cbrt (- (/ 1.0 x) 1.0))

simplify937.0ms

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
2	1886
1	477
0	189

prune644.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes319.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	19
2	19
1	18
0	13

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.6s	24038×	body	80	nan
516.0ms	8000×	body	80	valid