Details

sample12.0ms

Algorithm

intervals

Results

5.0ms	250×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	4
1	11	4
2	11	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (fabs (- y x)) 2.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

6.0ms

(+ x (/ (fabs (- y x)) 2.0))

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(+ x (/ (fabs (- y x)) 2.0))

simplify117.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	83	100
1	207	91
2	481	91
3	1288	91
4	3899	91
5	5002	91

prune31.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (fabs (- y x)) 2.0))
0.0b	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.0b	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.3b	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity` `sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 106

Calls

4 calls:

6.0ms	(+ x (/ (fabs (- y x)) 2.0))
6.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
16.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series131.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ x (/ (fabs (- y x)) 2.0))
46.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
52.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
17.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify47.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	273	1063
1	1071	971
2	5001	937

prune203.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.1b	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.2b	(* (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
0.5b	(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

121×	`sqrt-prod`
74×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`sqrt-div`
29×	`unpow-prod-down` `cube-prod`
26×	`associate-l`
25×	`add-cube-cbrt`
24×	`unswap-sqr`
12×	`pow1` `sqrt-pow1`
10×	`add-exp-log` `associate-r`
9×	`flip3-+` `flip-+`
8×	`cube-div`
7×	`add-cbrt-cube` `distribute-lft-out`
6×	`pow1/2`
5×	`pow-pow` `sqr-pow`
4×	`frac-times` `rem-sqrt-square` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `associate-r/` `associate-l/` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 170

Calls

4 calls:

6.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
23.0ms	(* (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
11.0ms	(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

series224.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
55.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
18.0ms	(* (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
97.0ms	(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

simplify87.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	583	2344
1	2440	2073
2	5001	1950

prune381.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.1b	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.2b	(* (pow (pow (+ x (/ (fabs (- y x)) 2.0)) 1/4) 3) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
0.5b	(pow (pow (+ x (/ (fabs (- y x)) 2.0)) 1/4) 3)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
51×	`sqrt-prod`
47×	`unpow-prod-down`
34×	`*-un-lft-identity`
25×	`cube-prod`
24×	`unswap-sqr`
22×	`associate-l`
20×	`add-cube-cbrt`
15×	`sqr-pow`
14×	`add-exp-log`
10×	`sqrt-div` `associate-r`
8×	`pow-exp`
7×	`pow1` `add-cbrt-cube` `distribute-lft-out`
5×	`sqrt-pow1` `prod-exp`
4×	`pow-to-exp` `add-log-exp`
3×	`rem-sqrt-square` `pow-unpow` `flip3-+` `pow1/2` `flip-+`
2×	`cube-mult` `unpow3` `associate-*r/`
1×	`pow-pow` `*-commutative` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 145

Calls

4 calls:

6.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
25.0ms	(* (pow (pow (+ x (/ (fabs (- y x)) 2.0)) 1/4) 3) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
9.0ms	(pow (pow (+ x (/ (fabs (- y x)) 2.0)) 1/4) 3)

series219.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
56.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
17.0ms	(* (pow (pow (+ x (/ (fabs (- y x)) 2.0)) 1/4) 3) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
98.0ms	(pow (pow (+ x (/ (fabs (- y x)) 2.0)) 1/4) 3)

simplify96.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	648	2270
1	2640	2188
2	5001	2171

prune347.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes62.0ms

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	8	4
1	8	4

end0.0ms

sample298.0ms

Algorithm

intervals

Results

151.0ms	7691×	body	80	valid
8.0ms	99×	body	1280	valid
6.0ms	81×	body	640	valid
5.0ms	51×	body	2560	valid
3.0ms	50×	body	320	valid
1.0ms	29×	body	160	valid