Details

analyze32.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

sample17.0ms

Algorithm

intervals

Results

7.0ms	245×	body	80	valid
1.0ms	5×	body	640	valid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	181	8
1	181	8

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))

simplify51.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4944	171
1	4944	171

prune30.0ms

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

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

15.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
5.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
19.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
19.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
21.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify75.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5106	1940

prune203.0ms

Filtered

71 candidates to 107 candidates (-50.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

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

Merged error: 0.0b

Counts

111 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.5b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b	(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

35×	`cbrt-prod`
19×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`cbrt-div`
7×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`flip3-+` `flip-+`
1×	`unpow2` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

6.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
7.0ms	(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))

series87.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
21.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
20.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
27.0ms	(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))

simplify41.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4986	1427
1	4986	1427

prune254.0ms

Filtered

63 candidates to 77 candidates (-22.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	77	5	82

Merged error: 0.0b

Counts

82 → 5

localize9.0ms

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))
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))))

series40.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ x (/ (fabs (- y x)) 2.0))
14.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
14.0ms	(sqrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms	(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify34.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4979	1678
1	4979	1678

prune132.0ms

Filtered

67 candidates to 118 candidates (-76.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	118	5	123

Merged error: 0.0b

Counts

123 → 5

regimes148.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	18	8
1	18	8

end0.0ms

sample361.0ms

Algorithm

intervals

Results

191.0ms	7681×	body	80	valid
12.0ms	104×	body	1280	valid
9.0ms	52×	body	2560	valid
7.0ms	76×	body	640	valid
4.0ms	59×	body	320	valid
1.0ms	28×	body	160	valid
0.0ms	3×	body	80	invalid

Details

analyze32.0ms

sample17.0ms

simplify11.0ms

prune3.0ms

localize5.0ms

rewrite6.0ms

series4.0ms

simplify51.0ms

prune30.0ms

localize9.0ms

rewrite34.0ms

series82.0ms

simplify75.0ms

prune203.0ms

localize16.0ms

rewrite26.0ms

series87.0ms

simplify41.0ms

prune254.0ms

localize9.0ms

rewrite36.0ms

series40.0ms

simplify34.0ms

prune132.0ms

regimes148.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample361.0ms

Profiling