Details

sample12.0ms

Algorithm

intervals

Results

5.0ms	246×	body	80	valid
0.0ms	4×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	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

Filtered

1 candidates to 0 candidates (0.0%)

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))

rewrite5.0ms

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))

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

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

simplify120.0ms

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

prune29.0ms

Filtered

15 candidates to 11 candidates (73.3%)

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

14.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
8.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
49.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
51.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
48.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	364	1473
1	1202	1394
2	5001	1293

prune268.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	106	5	111

Merged error: 0.0b

Counts

111 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

37×	`cbrt-prod`
19×	`*-un-lft-identity`
14×	`cbrt-div`
11×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 65

Calls

4 calls:

5.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series232.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
52.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
49.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
53.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify99.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	334	1036
1	960	986
2	3596	977
3	5002	977

prune275.0ms

Filtered

77 candidates to 69 candidates (89.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	76	6	82

Merged error: 0.0b

Counts

82 → 6

localize7.0ms

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))))

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:

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

series134.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ x (/ (fabs (- y x)) 2.0))
57.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
46.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
16.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify43.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (31.0ms)

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

prune236.0ms

Filtered

118 candidates to 64 candidates (54.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	1	1	2
Picked	1	0	1
Done	1	2	3
Total	119	5	124

Merged error: 0.0b

Counts

124 → 5

regimes116.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample294.0ms

Algorithm

intervals

Results

149.0ms	7711×	body	80	valid
10.0ms	119×	body	1280	valid
5.0ms	79×	body	640	valid
4.0ms	43×	body	2560	valid
2.0ms	31×	body	320	valid
1.0ms	17×	body	160	valid