Details

sample78.0ms

Algorithm

intervals

Results

23.0ms	519×	body	80	nan
18.0ms	249×	body	160	nan
11.0ms	256×	body	80	valid

simplify20.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) 1.0)
0.0b	(+ x (sqrt (- (* x x) 1.0)))
28.7b	(sqrt (- (* x x) 1.0))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 41

Calls

3 calls:

15.0ms	(- (* x x) 1.0)
49.0ms	(+ x (sqrt (- (* x x) 1.0)))
11.0ms	(sqrt (- (* x x) 1.0))

series238.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- (* x x) 1.0)
100.0ms	(+ x (sqrt (- (* x x) 1.0)))
76.0ms	(sqrt (- (* x x) 1.0))

simplify1.1s

Counts: 50 → 50

prune225.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (- x (+ (* (/ 1.0 2.0) (/ 1 x)) (* (/ 1.0 8.0) (/ 1 (pow x 3))))))
0.0b	(+ (* (/ 1.0 2.0) (/ 1 x)) (* (/ 1.0 8.0) (/ 1 (pow x 3))))
0.6b	(/ 1 (pow x 3))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
33×	`*-un-lft-identity`
28×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`frac-add`
14×	`add-log-exp`
12×	`add-exp-log` `unpow-prod-down` `cube-prod` `associate-/r*`
8×	`frac-times` `associate-r/` `associate-l/` `un-div-inv`
6×	`div-exp`
5×	`sum-log` `add-cbrt-cube`
4×	`cube-mult` `unpow3` `sqr-pow`
3×	`pow1` `pow-to-exp` `rec-exp` `1-exp` `pow-exp` `associate-/l*`
2×	`+-commutative` `associate-+r+` `flip3-+` `diff-log` `flip-+` `distribute-lft-out`
1×	`cbrt-undiv` `associate-+r-` `sub-neg` `pow-flip` `frac-2neg` `clear-num` `div-inv` `distribute-lft-out--` `inv-pow`

Counts

3 → 118

Calls

3 calls:

160.0ms	(+ x (- x (+ (* (/ 1.0 2.0) (/ 1 x)) (* (/ 1.0 8.0) (/ 1 (pow x 3))))))
39.0ms	(+ (* (/ 1.0 2.0) (/ 1 x)) (* (/ 1.0 8.0) (/ 1 (pow x 3))))
13.0ms	(/ 1 (pow x 3))

series243.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ x (- x (+ (* (/ 1.0 2.0) (/ 1 x)) (* (/ 1.0 8.0) (/ 1 (pow x 3))))))
106.0ms	(+ (* (/ 1.0 2.0) (/ 1 x)) (* (/ 1.0 8.0) (/ 1 (pow x 3))))
63.0ms	(/ 1 (pow x 3))

simplify1.2s

Counts: 127 → 127

prune295.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify555.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.1s	16410×	body	80	nan
702.0ms	7643×	body	160	nan
490.0ms	8000×	body	80	valid