Details

sample16.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	96×	body	80	nan

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(+ 1.0 (sqrt (+ x 1.0)))
0.2b	(/ x (+ 1.0 (sqrt (+ x 1.0))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`times-frac`
6×	`distribute-lft-out`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1` `associate-/r*` `sqrt-prod`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `flip-+` `log1p-expm1-u` `associate-/l*`
2×	`sqrt-div` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `clear-num` `sum-log` `hypot-def` `div-inv`

Counts

3 → 71

Calls

3 calls:

4.0ms	(sqrt (+ x 1.0))
8.0ms	(+ 1.0 (sqrt (+ x 1.0)))
16.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

series393.0ms

Counts

3 → 9

Calls

3 calls:

213.0ms	(sqrt (+ x 1.0))
39.0ms	(+ 1.0 (sqrt (+ x 1.0)))
140.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify37.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	334	508
1	1222	457
2	5002	445

prune152.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ x (/ (- (- (* 1.0 1.0) x) 1.0) (- 1.0 (sqrt (+ x 1.0)))))
0.2b	(/ (- (- (* 1.0 1.0) x) 1.0) (- 1.0 (sqrt (+ x 1.0))))
2.4b	(- 1.0 (sqrt (+ x 1.0)))
2.9b	(- (- (* 1.0 1.0) x) 1.0)

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

301×	`add-sqr-sqrt`
258×	`times-frac`
249×	`*-un-lft-identity`
125×	`add-cube-cbrt`
90×	`difference-of-squares`
59×	`distribute-lft-out--`
42×	`associate-/r*`
39×	`sqrt-prod`
36×	`prod-diff`
11×	`add-exp-log` `associate-/r/` `add-cbrt-cube` `add-log-exp`
8×	`flip3--` `flip--` `associate-/l*`
7×	`fma-neg`
6×	`div-inv`
5×	`associate--l+`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `diff-log` `div-exp` `log1p-expm1-u`
3×	`sub-neg` `distribute-lft-out`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`associate--l-` `div-sub`

Counts

4 → 304

Calls

4 calls:

40.0ms	(/ x (/ (- (- (* 1.0 1.0) x) 1.0) (- 1.0 (sqrt (+ x 1.0)))))
60.0ms	(/ (- (- (* 1.0 1.0) x) 1.0) (- 1.0 (sqrt (+ x 1.0))))
10.0ms	(- 1.0 (sqrt (+ x 1.0)))
24.0ms	(- (- (* 1.0 1.0) x) 1.0)

series301.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(/ x (/ (- (- (* 1.0 1.0) x) 1.0) (- 1.0 (sqrt (+ x 1.0)))))
166.0ms	(/ (- (- (* 1.0 1.0) x) 1.0) (- 1.0 (sqrt (+ x 1.0))))
52.0ms	(- 1.0 (sqrt (+ x 1.0)))
12.0ms	(- (- (* 1.0 1.0) x) 1.0)

simplify61.0ms

Algorithm

egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	993	4442
1	5001	3941

prune550.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample301.0ms

Algorithm

intervals

Results

153.0ms	7998×	body	80	valid
39.0ms	2695×	body	80	nan
0.0ms	2×	body	1280	valid