Details

sample333.0ms

Algorithm

intervals

Results

69.0ms	256×	body	80	valid
27.0ms	228×	body	80	nan

simplify57.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	23
3	23
2	21
1	18
0	9

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize96.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (/ (- 1 x) (+ 1 x)))
0.0b	(/ (- 1 x) (+ 1 x))
0.0b	(atan (sqrt (/ (- 1 x) (+ 1 x))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

79×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
49×	`times-frac`
30×	`sqrt-prod`
26×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
6×	`associate-/l*`
5×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `flip3--` `pow1/2` `sqrt-div` `div-sub` `div-exp` `flip--`

Counts

3 → 109

Calls

3 calls:

15.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
20.0ms	(/ (- 1 x) (+ 1 x))
2.0ms	(atan (sqrt (/ (- 1 x) (+ 1 x))))

series94.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(sqrt (/ (- 1 x) (+ 1 x)))
36.0ms	(/ (- 1 x) (+ 1 x))
10.0ms	(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify754.0ms

Counts

118 → 118

Iterations

Iter	Nodes
done	2003
2	818
1	360
0	174

prune467.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1 x) (+ 1 x))
0.0b	(sqrt (log1p (expm1 (/ (- 1 x) (+ 1 x)))))
0.0b	(log1p (expm1 (/ (- 1 x) (+ 1 x))))
1.0b	(expm1 (/ (- 1 x) (+ 1 x)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
24×	`times-frac`
17×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`pow1` `log1p-expm1-u` `distribute-lft-out--`
4×	`expm1-log1p-u` `associate-/r*` `insert-posit16` `add-log-exp`
3×	`sqrt-prod`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `sqrt-pow1` `flip3-+` `flip3--` `pow1/2` `div-sub` `div-exp` `log1p-expm1` `flip-+` `div-inv` `flip--` `expm1-udef`

Counts

4 → 94

Calls

4 calls:

19.0ms	(/ (- 1 x) (+ 1 x))
1.0ms	(sqrt (log1p (expm1 (/ (- 1 x) (+ 1 x)))))
0.0ms	(log1p (expm1 (/ (- 1 x) (+ 1 x))))
0.0ms	(expm1 (/ (- 1 x) (+ 1 x)))

series535.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ (- 1 x) (+ 1 x))
241.0ms	(sqrt (log1p (expm1 (/ (- 1 x) (+ 1 x)))))
167.0ms	(log1p (expm1 (/ (- 1 x) (+ 1 x))))
81.0ms	(expm1 (/ (- 1 x) (+ 1 x)))

simplify828.0ms

Counts

106 → 106

Iterations

Iter	Nodes
done	2000
2	997
1	375
0	164

prune536.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ 1 (sqrt (+ 1 x))))
0.0b	(* (sqrt (/ 1 (sqrt (+ 1 x)))) (sqrt (/ (- 1 x) (sqrt (+ 1 x)))))
0.0b	(/ (- 1 x) (sqrt (+ 1 x)))
0.0b	(/ 1 (sqrt (+ 1 x)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

248×	`sqrt-prod`
212×	`add-sqr-sqrt`
193×	`*-un-lft-identity`
179×	`times-frac`
92×	`add-cube-cbrt`
51×	`associate-r`
30×	`associate-l` `difference-of-squares`
24×	`unswap-sqr`
23×	`distribute-lft-out`
15×	`sqrt-div` `distribute-lft-out--`
14×	`associate-/r*`
13×	`pow1`
12×	`add-exp-log`
10×	`add-cbrt-cube` `associate-/r/`
9×	`sqrt-pow1` `associate-/l*`
6×	`pow-flip`
5×	`rem-sqrt-square` `flip3-+` `pow1/2` `flip-+` `div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-exp` `pow-prod-down`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `inv-pow` `associate-/l/`
1×	`frac-times` `rec-exp` `flip3--` `sqrt-unprod` `1-exp` `div-sub` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `flip--`

Counts

4 → 303

Calls

4 calls:

10.0ms	(sqrt (/ 1 (sqrt (+ 1 x))))
65.0ms	(* (sqrt (/ 1 (sqrt (+ 1 x)))) (sqrt (/ (- 1 x) (sqrt (+ 1 x)))))
23.0ms	(/ (- 1 x) (sqrt (+ 1 x)))
9.0ms	(/ 1 (sqrt (+ 1 x)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(sqrt (/ 1 (sqrt (+ 1 x))))
54.0ms	(* (sqrt (/ 1 (sqrt (+ 1 x)))) (sqrt (/ (- 1 x) (sqrt (+ 1 x)))))
77.0ms	(/ (- 1 x) (sqrt (+ 1 x)))
45.0ms	(/ 1 (sqrt (+ 1 x)))

simplify1.3s

Counts

315 → 315

Iterations

Iter	Nodes
done	2000
2	1802
1	778
0	381

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	8000×	body	80	valid
777.0ms	7785×	body	80	nan