Details

sample16.0ms

Algorithm

intervals

Results

6.0ms	241×	body	80	valid
1.0ms	7×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize5.0ms

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:

5.0ms

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

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify133.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (3.0ms)

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

prune26.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0.0b

Counts

16 → 3

localize8.0ms

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)))
0.4b	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite35.0ms

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:

5.0ms	(+ x (/ (fabs (- y x)) 2.0))
5.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
15.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series38.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ x (/ (fabs (- y x)) 2.0))
14.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
15.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify45.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	290	1059
1	1130	983
2	5002	957

prune149.0ms

Filtered

67 candidates to 118 candidates (-76.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	116	5	121

Merged error: 0.0b

Counts

121 → 5

localize12.0ms

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))))
0.3b	(* (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)

rewrite52.0ms

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))))
22.0ms	(* (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
10.0ms	(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

series81.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
19.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
5.0ms	(* (pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
37.0ms	(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

simplify93.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	587	2387
1	2477	2116
2	5002	1905

prune267.0ms

Filtered

86 candidates to 182 candidates (-111.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	179	3	182
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	181	6	187

Merged error: 0.0b

Counts

187 → 6

localize14.0ms

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 (sqrt (+ x (/ (fabs (- y x)) 2.0))) 3/2)
0.3b	(* (pow (sqrt (+ x (/ (fabs (- y x)) 2.0))) 3/2) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

50×	`sqrt-prod`
40×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
20×	`unpow-prod-down`
16×	`add-cube-cbrt`
12×	`unswap-sqr`
11×	`associate-l`
10×	`pow1` `add-exp-log` `sqrt-div` `associate-r`
7×	`sqrt-pow1`
6×	`add-cbrt-cube`
5×	`pow1/2` `distribute-lft-out` `sqr-pow`
4×	`add-log-exp`
3×	`rem-sqrt-square` `pow-unpow` `pow-pow` `flip3-+` `prod-exp` `flip-+`
2×	`pow-to-exp` `associate-*r/` `pow-exp` `pow-prod-up`
1×	`*-commutative` `sqrt-pow2` `cbrt-unprod`

Counts

4 → 111

Calls

4 calls:

6.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
7.0ms	(pow (sqrt (+ x (/ (fabs (- y x)) 2.0))) 3/2)
22.0ms	(* (pow (sqrt (+ x (/ (fabs (- y x)) 2.0))) 3/2) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

series72.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
20.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
30.0ms	(pow (sqrt (+ x (/ (fabs (- y x)) 2.0))) 3/2)
5.0ms	(* (pow (sqrt (+ x (/ (fabs (- y x)) 2.0))) 3/2) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

simplify75.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	622	1647
1	2375	1573
2	5001	1482

prune424.0ms

Filtered

76 candidates to 123 candidates (-61.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	123	6	129

Merged error: 0.0b

Counts

129 → 6

regimes166.0ms

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

sample401.0ms

Algorithm

intervals

Results

192.0ms	7670×	body	80	valid
13.0ms	113×	body	1280	valid
9.0ms	95×	body	640	valid
6.0ms	42×	body	2560	valid
4.0ms	58×	body	320	valid
1.0ms	23×	body	160	valid

Details

sample16.0ms

simplify4.0ms

prune3.0ms

localize5.0ms

rewrite6.0ms

series4.0ms

simplify133.0ms

prune26.0ms

localize8.0ms

rewrite35.0ms

series38.0ms

simplify45.0ms

prune149.0ms

localize12.0ms

rewrite52.0ms

series81.0ms

simplify93.0ms

prune267.0ms

localize14.0ms

rewrite45.0ms

series72.0ms

simplify75.0ms

prune424.0ms

regimes166.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample401.0ms

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