Details

sample16.0ms

Algorithm

intervals

Results

6.0ms	250×	body	80	valid
1.0ms	5×	body	1280	valid
0.0ms	1×	body	640	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: 0.0b

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))

simplify110.0ms

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

prune32.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	3	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	4	16

Merged error: 0.0b

Counts

16 → 4

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))))

rewrite37.0ms

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))))

series36.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ x (/ (fabs (- y x)) 2.0))
13.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
13.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify46.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (34.0ms)

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

prune157.0ms

Filtered

66 candidates to 118 candidates (-78.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	114	4	118
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	116	6	122

Merged error: 0.0b

Counts

122 → 6

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

122×	`sqrt-div`
112×	`sqrt-prod`
91×	`sqrt-pow1`
69×	`pow1`
60×	`add-sqr-sqrt`
47×	`pow1/2`
42×	`*-un-lft-identity`
39×	`pow-prod-up`
35×	`flip3-+` `flip-+`
32×	`frac-times`
22×	`add-cube-cbrt`
20×	`swap-sqr`
17×	`associate-l`
16×	`associate-*r/`
12×	`pow-prod-down`
11×	`add-exp-log` `associate-r` `pow-sqr` `add-cbrt-cube` `unswap-sqr`
10×	`associate-*l/`
9×	`distribute-lft-out`
4×	`rem-sqrt-square` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`sqrt-unprod`
2×	`*-commutative`
1×	`pow2` `pow-plus` `rem-square-sqrt`

Counts

4 → 205

Calls

4 calls:

6.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
30.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))
18.0ms	(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

series61.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
19.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
5.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))
14.0ms	(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

simplify85.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	664	2782
1	2479	2436
2	5001	2400

prune293.0ms

Filtered

100 candidates to 217 candidates (-117.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	216	1	217
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	217	6	223

Merged error: 0b

Counts

223 → 6

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)))))
0.6b	(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

rewrite49.0ms

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))))
21.0ms	(* (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)

series77.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
18.0ms	(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)))))
35.0ms	(pow (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) 3)

simplify83.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (62.0ms)

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

prune247.0ms

Filtered

87 candidates to 182 candidates (-109.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	181	1	182
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	182	6	188

Merged error: 0b

Counts

188 → 6

regimes158.0ms

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

sample418.0ms

Algorithm

intervals

Results

179.0ms	7681×	body	80	valid
12.0ms	112×	body	1280	valid
8.0ms	93×	body	640	valid
5.0ms	42×	body	2560	valid
3.0ms	48×	body	320	valid
1.0ms	24×	body	160	valid

Details

sample16.0ms

simplify4.0ms

prune3.0ms

localize5.0ms

rewrite6.0ms

series4.0ms

simplify110.0ms

prune32.0ms

localize8.0ms

rewrite37.0ms

series36.0ms

simplify46.0ms

prune157.0ms

localize11.0ms

rewrite70.0ms

series61.0ms

simplify85.0ms

prune293.0ms

localize11.0ms

rewrite49.0ms

series77.0ms

simplify83.0ms

prune247.0ms

regimes158.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample418.0ms

Profiling