Details

analyze5.0ms

Algorithm

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 50.085419%

Guaranteed chance to sample good point: 99.987778%

sample19.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	10
1	72	10
2	182	10
3	370	10
4	713	10
5	1066	10
6	1201	10
7	1308	10
8	1308	10

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(- 1.0 (* 3.0 (* v v)))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b	(* 3.0 (* v v))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
25×	`associate-l`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
20×	`sqrt-prod`
14×	`add-exp-log` `add-cbrt-cube`
12×	`pow1`
7×	`associate-r` `unswap-sqr`
6×	`sqrt-div` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`flip3--` `pow-prod-down` `flip--`
2×	`frac-times` `associate-r/` `-commutative`
1×	`cbrt-undiv` `sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log` `div-exp` `associate-*l/` `div-inv`

Counts

4 → 98

Calls

4 calls:

2.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
3.0ms	(- 1.0 (* 3.0 (* v v)))
10.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
5.0ms	(* 3.0 (* v v))

series22.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
5.0ms	(- 1.0 (* 3.0 (* v v)))
9.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms	(* 3.0 (* v v))

simplify49.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	484	887
1	1770	842
2	5002	838

prune190.0ms

Filtered

76 candidates to 110 candidates (-44.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	3	111

Merged error: 0b

Counts

111 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (cbrt (pow (- 1.0 (* 3.0 (* v v))) 3))))
0.0b	(pow (- 1.0 (* 3.0 (* v v))) 3)
0.0b	(cbrt (pow (- 1.0 (* 3.0 (* v v))) 3))
0.1b	(* 3.0 (* v v))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
45×	`sqrt-prod`
36×	`cbrt-prod`
30×	`times-frac`
29×	`add-cube-cbrt` `*-un-lft-identity`
25×	`associate-l`
19×	`associate-r` `unswap-sqr`
15×	`add-exp-log` `add-cbrt-cube`
12×	`pow1` `unpow-prod-down` `cube-prod`
8×	`cube-div`
6×	`cbrt-div` `sqr-pow`
5×	`prod-exp` `cbrt-unprod`
4×	`flip3--` `sqrt-div` `pow-prod-down` `flip--` `add-log-exp`
3×	`cube-mult` `pow-unpow` `unpow3`
2×	`frac-times` `associate-r/` `-commutative`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `pow1/3` `div-exp` `associate-*l/` `pow-exp` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 143

Calls

4 calls:

17.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (cbrt (pow (- 1.0 (* 3.0 (* v v))) 3))))
4.0ms	(pow (- 1.0 (* 3.0 (* v v))) 3)
3.0ms	(cbrt (pow (- 1.0 (* 3.0 (* v v))) 3))
5.0ms	(* 3.0 (* v v))

series22.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (cbrt (pow (- 1.0 (* 3.0 (* v v))) 3))))
4.0ms	(pow (- 1.0 (* 3.0 (* v v))) 3)
5.0ms	(cbrt (pow (- 1.0 (* 3.0 (* v v))) 3))
3.0ms	(* 3.0 (* v v))

simplify71.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	623	1510
1	2432	1379
2	5001	1341

prune253.0ms

Filtered

90 candidates to 155 candidates (-72.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	155	3	158

Merged error: 0b

Counts

158 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (- 1.0 (* 3.0 (* v v))))
0.0b	(sqrt (cbrt (- 1.0 (* 3.0 (* v v)))))
0.1b	(* 3.0 (* v v))
0.1b	(* 3.0 (* v v))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1`
14×	`add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
4×	`cbrt-div` `add-log-exp`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/3` `sqrt-div` `associate-r` `*-commutative` `flip--` `unswap-sqr`
1×	`pow1/2`

Counts

4 → 71

Calls

4 calls:

2.0ms	(cbrt (- 1.0 (* 3.0 (* v v))))
3.0ms	(sqrt (cbrt (- 1.0 (* 3.0 (* v v)))))
5.0ms	(* 3.0 (* v v))
5.0ms	(* 3.0 (* v v))

series35.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(cbrt (- 1.0 (* 3.0 (* v v))))
13.0ms	(sqrt (cbrt (- 1.0 (* 3.0 (* v v)))))
3.0ms	(* 3.0 (* v v))
3.0ms	(* 3.0 (* v v))

simplify43.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	422	623
1	1505	588
2	5001	543

prune196.0ms

Filtered

60 candidates to 83 candidates (-38.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	83	3	86

Merged error: 0b

Counts

86 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b	(* 3.0 (* v v))
0.1b	(* 3.0 (* v v))
1.0b	(* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

112×	`sqrt-div`
65×	`pow1`
51×	`frac-times`
45×	`add-sqr-sqrt`
32×	`associate-l`
31×	`associate-*r/`
28×	`sqrt-pow1`
27×	`pow-prod-down`
26×	`flip3--` `flip--`
25×	`add-cube-cbrt` `*-un-lft-identity`
22×	`times-frac`
21×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
18×	`associate-*l/`
12×	`associate-r`
10×	`pow1/2` `pow-prod-up`
9×	`prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`pow-sqr`
4×	`swap-sqr` `*-commutative` `add-log-exp`
1×	`cbrt-undiv` `pow2` `pow-plus` `sqrt-unprod` `div-exp` `rem-square-sqrt` `div-inv`

Counts

4 → 174

Calls

4 calls:

11.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
7.0ms	(* 3.0 (* v v))
5.0ms	(* 3.0 (* v v))
18.0ms	(* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))

series28.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms	(* 3.0 (* v v))
3.0ms	(* 3.0 (* v v))
13.0ms	(* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))

simplify91.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	645	2211
1	2830	2093
2	5002	2074

prune405.0ms

Filtered

106 candidates to 186 candidates (-75.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	186	3	189

Merged error: 0b

Counts

189 → 3

regimes61.0ms

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	20	12
1	20	12

end0.0ms

analyze5.0ms

Algorithm

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 50.085419%

Guaranteed chance to sample good point: 99.987778%

sample510.0ms

Algorithm

intervals

Results

418.0ms

8000×

body

valid

Details

analyze5.0ms

sample19.0ms

simplify58.0ms

prune3.0ms

localize11.0ms

rewrite27.0ms

series22.0ms

simplify49.0ms

prune190.0ms

localize16.0ms

rewrite35.0ms

series22.0ms

simplify71.0ms

prune253.0ms

localize14.0ms

rewrite17.0ms

series35.0ms

simplify43.0ms

prune196.0ms

localize13.0ms

rewrite50.0ms

series28.0ms

simplify91.0ms

prune405.0ms

regimes61.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze5.0ms

sample510.0ms

Profiling