Details

sample91.0ms

Algorithm

intervals

Results

24.0ms	574×	body	80	nan
24.0ms	268×	body	160	nan
14.0ms	256×	body	80	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (sqrt (- (* x x) 1.0)))
26.9b	(sqrt (- (* x x) 1.0))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`sqrt-prod` `add-log-exp`
3×	`pow1` `add-cube-cbrt`
2×	`add-cbrt-cube` `sqrt-div` `add-exp-log`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `flip3-+` `flip3--` `pow1/2` `flip-+` `flip--` `distribute-lft-out` `difference-of-squares`

Counts

2 → 28

Calls

2 calls:

20.0ms	(+ x (sqrt (- (* x x) 1.0)))
29.0ms	(sqrt (- (* x x) 1.0))

series175.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(+ x (sqrt (- (* x x) 1.0)))
75.0ms	(sqrt (- (* x x) 1.0))

simplify843.0ms

Counts

34 → 34

Iterations

Iter	Nodes
done	5001
2	892
1	223
0	90

prune187.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
0.5b	(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`sqrt-prod`
12×	`sqrt-div`
10×	`*-un-lft-identity`
9×	`associate-r`
7×	`associate-l`
6×	`pow1` `add-cube-cbrt`
4×	`frac-times` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `add-log-exp` `unswap-sqr`
3×	`flip3--` `pow-prod-down` `flip--`
2×	`sqrt-pow1` `pow1/2` `associate-l/` `associate-r/` `difference-of-squares`
1×	`+-commutative` `sum-log` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--`

Counts

2 → 53

Calls

2 calls:

7.0ms	(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
65.0ms	(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

series424.0ms

Counts

2 → 6

Calls

2 calls:

169.0ms	(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
254.0ms	(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

simplify1.1s

Counts

59 → 59

Iterations

Iter	Nodes
done	5002
2	1483
1	370
0	152

prune361.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (sqrt (- x (sqrt 1.0))))
0.5b	(cbrt (sqrt (- x (sqrt 1.0))))
0.5b	(cbrt (sqrt (- x (sqrt 1.0))))
0.6b	(* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

87×	`cbrt-prod`
80×	`add-sqr-sqrt`
67×	`sqrt-prod`
42×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`cbrt-div` `sqrt-div` `swap-sqr` `difference-of-squares`
12×	`associate-r` `associate-l`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `unswap-sqr`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 134

Calls

4 calls:

12.0ms	(cbrt (sqrt (- x (sqrt 1.0))))
9.0ms	(cbrt (sqrt (- x (sqrt 1.0))))
9.0ms	(cbrt (sqrt (- x (sqrt 1.0))))
77.0ms	(* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

284.0ms	(cbrt (sqrt (- x (sqrt 1.0))))
309.0ms	(cbrt (sqrt (- x (sqrt 1.0))))
293.0ms	(cbrt (sqrt (- x (sqrt 1.0))))
426.0ms	(* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))

simplify2.0s

Counts

146 → 146

Iterations

Iter	Nodes
done	5001
2	2057
1	493
0	206

prune714.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.4s	16309×	body	80	nan
804.0ms	7780×	body	160	nan
600.0ms	8000×	body	80	valid