Details

analyze878.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	46.9%	50%	13
3.1%	46.8%	50%	14

sample84.0ms

Algorithm

intervals

Results

41.0ms	103×	body	2560	valid
21.0ms	76×	body	1280	valid
8.0ms	40×	body	640	valid
5.0ms	17×	body	320	valid
1.0ms	13×	body	160	valid
0.0ms	7×	body	80	valid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5797	14

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: 0.7b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.2b	(* 5.0 (* v v))
0.6b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
10×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
4×	`associate-/r*` `difference-of-squares`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*` `add-log-exp`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `acos-asin` `frac-2neg` `div-sub` `div-exp` `associate-r` `clear-num` `*-commutative` `div-inv` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

7.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
5.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series11.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
3.0ms	(* 5.0 (* v v))
3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify61.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4960	1050
1	4960	1050

prune111.0ms

Filtered

53 candidates to 72 candidates (-35.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	69	3	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	4	73

Merged error: 0.6b

Counts

73 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (- (* v v) 1.0) (sqrt (- 1.0 (* 5.0 (* v v))))))
0.2b	(* 5.0 (* v v))
0.2b	(* 5.0 (* v v))
0.6b	(acos (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (- (* v v) 1.0) (sqrt (- 1.0 (* 5.0 (* v v)))))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

348×	`times-frac`
217×	`add-sqr-sqrt`
177×	`sqrt-prod`
173×	`add-cube-cbrt` `*-un-lft-identity`
42×	`difference-of-squares`
30×	`associate-/r*`
19×	`add-exp-log` `add-cbrt-cube`
16×	`sqrt-div`
15×	`associate-/r/`
14×	`pow1`
8×	`flip3--` `flip--` `div-inv`
6×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`associate-r` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`acos-asin` `frac-2neg` `clear-num`

Counts

4 → 279

Calls

4 calls:

17.0ms	(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (- (* v v) 1.0) (sqrt (- 1.0 (* 5.0 (* v v))))))
5.0ms	(* 5.0 (* v v))
5.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (- (* v v) 1.0) (sqrt (- 1.0 (* 5.0 (* v v)))))))

series14.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (- (* v v) 1.0) (sqrt (- 1.0 (* 5.0 (* v v))))))
3.0ms	(* 5.0 (* v v))
3.0ms	(* 5.0 (* v v))
3.0ms	(acos (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (/ (- (* v v) 1.0) (sqrt (- 1.0 (* 5.0 (* v v)))))))

simplify122.0ms

Algorithm

egg-herbie

Counts

291 → 291

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5621	8793

prune482.0ms

Filtered

140 candidates to 291 candidates (-107.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	291	0	291
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	291	4	295

Merged error: 0.6b

Counts

295 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0b	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `acos-asin` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 83

Calls

4 calls:

1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
6.0ms	(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

series22.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
8.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
8.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
3.0ms	(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

simplify65.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4864	1466
1	4864	1466

prune121.0ms

Filtered

47 candidates to 95 candidates (-102.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	94	5	99

Merged error: 0.6b

Counts

99 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
1.0b	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
1.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

series185.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
39.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
42.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
40.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

simplify68.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5496	1672

prune197.0ms

Filtered

57 candidates to 85 candidates (-49.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	83	7	90

Merged error: 0.6b

Counts

90 → 7

regimes182.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	14
1	52	14

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.2s	2888×	body	2560	valid
722.0ms	2518×	body	1280	valid
263.0ms	1251×	body	640	valid
103.0ms	658×	body	320	valid
49.0ms	462×	body	160	valid
13.0ms	223×	body	80	valid
0.0ms	7×	body	80	nan

Details

analyze878.0ms

sample84.0ms

simplify86.0ms

prune3.0ms

localize7.0ms

rewrite15.0ms

series11.0ms

simplify61.0ms

prune111.0ms

localize11.0ms

rewrite43.0ms

series14.0ms

simplify122.0ms

prune482.0ms

localize15.0ms

rewrite12.0ms

series22.0ms

simplify65.0ms

prune121.0ms

localize14.0ms

rewrite10.0ms

series185.0ms

simplify68.0ms

prune197.0ms

regimes182.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.5s

Profiling