Details

sample14.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
2.0ms	93×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 45

Calls

2 calls:

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

series188.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ 1.0 (sqrt (+ x 1.0)))
140.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify34.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	278	393
1	1058	351
2	5002	347

prune98.0ms

Filtered

51 candidates to 38 candidates (74.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
53×	`add-sqr-sqrt`
52×	`times-frac`
37×	`add-cube-cbrt`
35×	`sqrt-prod`
30×	`associate-r`
14×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
6×	`associate-l` `associate-/l*` `unswap-sqr`
5×	`pow1` `add-log-exp`
4×	`associate-/r*` `associate-/r/`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative`

Counts

3 → 116

Calls

3 calls:

8.0ms	(+ 1.0 (sqrt (+ x 1.0)))
21.0ms	(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
45.0ms	(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

series487.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ 1.0 (sqrt (+ x 1.0)))
303.0ms	(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
135.0ms	(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	491	1191
1	2142	1050
2	5002	1025

prune223.0ms

Filtered

125 candidates to 76 candidates (60.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (sqrt (+ x 1.0)))
0.2b	(/ x (+ 1.0 (sqrt (+ x 1.0))))
0.2b	(pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3)
35.0b	(cbrt (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

81×	`*-un-lft-identity`
60×	`times-frac`
47×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`cbrt-prod`
36×	`unpow-prod-down` `cube-prod`
17×	`distribute-lft-out`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`pow1` `div-inv`
4×	`associate-/r*`
3×	`pow-unpow` `associate-/l*`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `sum-log` `rem-cbrt-cube`

Counts

4 → 153

Calls

4 calls:

11.0ms	(+ 1.0 (sqrt (+ x 1.0)))
17.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))
19.0ms	(pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3)
20.0ms	(cbrt (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3))

series619.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ 1.0 (sqrt (+ x 1.0)))
148.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))
273.0ms	(pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3)
157.0ms	(cbrt (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3))

simplify80.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	644	1496
1	2995	1355
2	5003	1338

prune254.0ms

Filtered

165 candidates to 85 candidates (51.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes33.0ms

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

sample318.0ms

Algorithm

intervals

Results

161.0ms	7998×	body	80	valid
44.0ms	2706×	body	80	nan
0.0ms	2×	body	1280	valid