Details

sample113.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
15.0ms	270×	body	80	nan

simplify56.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	11
1	16	11
2	19	11
3	21	11
done	21	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
0.0b	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b	(/ (- 1.0 x) (+ 1.0 x))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
45×	`add-sqr-sqrt`
41×	`times-frac`
26×	`sqrt-prod`
24×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num` `flip--`

Counts

3 → 97

Calls

3 calls:

1.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
18.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
40.0ms	(/ (- 1.0 x) (+ 1.0 x))

series189.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
138.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
45.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify1.9s

Counts

106 → 106

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	173	1505
1	372	1422
2	918	1333
3	2332	1320
done	5000	1300

prune361.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (expm1 (log1p (/ (- 1.0 x) (+ 1.0 x)))))
0.0b	(log1p (/ (- 1.0 x) (+ 1.0 x)))
0.0b	(/ (- 1.0 x) (+ 1.0 x))
0.0b	(expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
20×	`times-frac`
16×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
5×	`pow1` `expm1-log1p-u` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `log1p-udef` `expm1-log1p` `flip3--` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `div-sub` `log1p-expm1` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `expm1-udef`

Counts

4 → 85

Calls

4 calls:

3.0ms	(sqrt (expm1 (log1p (/ (- 1.0 x) (+ 1.0 x)))))
1.0ms	(log1p (/ (- 1.0 x) (+ 1.0 x)))
34.0ms	(/ (- 1.0 x) (+ 1.0 x))
0.0ms	(expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))

series865.0ms

Counts

4 → 12

Calls

4 calls:

368.0ms	(sqrt (expm1 (log1p (/ (- 1.0 x) (+ 1.0 x)))))
209.0ms	(log1p (/ (- 1.0 x) (+ 1.0 x)))
38.0ms	(/ (- 1.0 x) (+ 1.0 x))
250.0ms	(expm1 (log1p (/ (- 1.0 x) (+ 1.0 x))))

simplify1.4s

Counts

97 → 97

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	236	1580
1	602	1421
2	1745	1267
done	5000	1234

prune414.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x))))
0.0b	(/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))
0.0b	(expm1 (log1p (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))))
0.0b	(* (+ 1.0 x) (+ 1.0 x))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `flip3-+` `flip-+`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt`
8×	`frac-times` `associate-/r/`
6×	`swap-sqr` `distribute-lft-out`
5×	`expm1-log1p-u`
4×	`times-frac` `associate-r/` `associate-r` `associate-l` `associate-l/` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `difference-of-squares`
1×	`pow2` `distribute-rgt-in` `log1p-udef` `expm1-log1p` `flip3--` `frac-2neg` `distribute-lft-in` `pow-plus` `div-sub` `log1p-expm1` `pow-prod-down` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `flip--` `div-inv` `expm1-udef` `unswap-sqr`

Counts

4 → 100

Calls

4 calls:

0.0ms	(log1p (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x))))
40.0ms	(/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))
0.0ms	(expm1 (log1p (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))))
44.0ms	(* (+ 1.0 x) (+ 1.0 x))

series573.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(log1p (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x))))
71.0ms	(/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))
281.0ms	(expm1 (log1p (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))))
30.0ms	(* (+ 1.0 x) (+ 1.0 x))

simplify1.9s

Counts

112 → 112

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	200	1964
1	578	1833
2	2167	1276
done	5001	1234

prune423.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	13	13
done	13	13

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
643.0ms	7844×	body	80	nan