Details

sample77.0ms

Algorithm

intervals

Results

44.0ms	750×	body	80	nan
17.0ms	256×	body	80	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	7
1	16	7
2	18	7
3	18	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
42×	`times-frac`
39×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
20×	`sqrt-prod`
13×	`fma-def`
8×	`log-prod` `distribute-lft-out`
7×	`add-exp-log` `associate-/l*`
6×	`pow1` `add-cbrt-cube` `div-inv` `add-log-exp`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u`
3×	`log-div` `associate-/r*`
2×	`distribute-rgt-out` `flip3--` `flip3-+` `frac-add` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `rem-log-exp` `clear-num` `sum-log` `log-pow`

Counts

4 → 119

Calls

4 calls:

22.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
29.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
6.0ms	(/ (sqrt (- 1.0 (* x x))) x)
4.0ms	(sqrt (- 1.0 (* x x)))

series787.0ms

Counts

4 → 12

Calls

4 calls:

491.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
108.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
126.0ms	(/ (sqrt (- 1.0 (* x x))) x)
62.0ms	(sqrt (- 1.0 (* x x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	537	1057
1	1923	1003
2	5001	992

prune346.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (sqrt x))
0.2b	(/ (sqrt (- 1.0 (* x x))) (sqrt x))
0.2b	(/ 1.0 (sqrt x))
0.5b	(* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

116×	`times-frac`
105×	`add-sqr-sqrt`
102×	`*-un-lft-identity`
95×	`sqrt-prod`
82×	`add-cube-cbrt`
22×	`associate-l`
21×	`add-exp-log`
18×	`associate-/r*`
15×	`add-cbrt-cube`
13×	`associate-r` `associate-/l*`
9×	`distribute-lft-out`
8×	`pow1`
7×	`difference-of-squares`
6×	`div-exp` `div-inv`
5×	`unswap-sqr`
4×	`cbrt-undiv` `expm1-log1p-u` `prod-exp` `log1p-expm1-u` `add-log-exp`
3×	`frac-times` `pow-flip` `frac-2neg` `associate-*r/` `clear-num`
2×	`rec-exp` `flip3-+` `sqrt-div` `1-exp` `frac-add` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`distribute-rgt-in` `sqrt-undiv` `distribute-rgt-out` `flip3--` `distribute-lft-in` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-l/` `-commutative` `flip--` `inv-pow`

Counts

4 → 226

Calls

4 calls:

3.0ms	(/ 1 (sqrt x))
9.0ms	(/ (sqrt (- 1.0 (* x x))) (sqrt x))
3.0ms	(/ 1.0 (sqrt x))
207.0ms	(* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))

series345.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ 1 (sqrt x))
64.0ms	(/ (sqrt (- 1.0 (* x x))) (sqrt x))
44.0ms	(/ 1.0 (sqrt x))
203.0ms	(* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))

simplify91.0ms

Algorithm

egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	836	2199
1	3953	1977
2	5002	1907

prune517.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s	24043×	body	80	nan
524.0ms	8000×	body	80	valid