Details

sample26.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

14.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	7
1	11	7

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: 34.2b

Counts

2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

0.6b	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
31.5b	(sqrt (+ (* re re) (* im im)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

24×	`times-frac`
22×	`log-pow`
20×	`pow1`
16×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-pow1` `pow1/2` `associate-/l*`
4×	`add-exp-log` `sqrt-div` `associate-/r*` `add-cbrt-cube`
3×	`sqrt-prod`
2×	`log-div` `flip3-+` `div-sub` `flip-+` `add-log-exp`
1×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

2 → 63

Calls

2 calls:

7.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
4.0ms	(sqrt (+ (* re re) (* im im)))

series25.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
6.0ms	(sqrt (+ (* re re) (* im im)))

simplify116.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 4 (108.0ms)

Iter	Nodes	Cost
0	224	668
1	555	635
2	1317	630
3	3981	628
4	5001	627

prune135.0ms

Filtered

45 candidates to 69 candidates (-53.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	57	12	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	12	70

Merged error: 8.5b

Counts

70 → 12

localize15.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
0.5b	(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
32.8b	(log (+ (* re re) (* im im)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

89×	`times-frac`
82×	`add-sqr-sqrt`
54×	`sqrt-prod`
52×	`add-cube-cbrt` `*-un-lft-identity`
33×	`pow1`
32×	`associate-r`
28×	`log-pow`
25×	`associate-l`
18×	`add-exp-log`
17×	`add-cbrt-cube`
9×	`unswap-sqr`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp`
4×	`log-div` `prod-exp` `cbrt-unprod` `associate-/l*`
3×	`log-prod` `div-inv` `add-log-exp`
2×	`flip3-+` `div-sub` `flip-+`
1×	`frac-times` `frac-2neg` `associate-r/` `rem-log-exp` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

3 → 153

Calls

3 calls:

21.0ms	(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
7.0ms	(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
3.0ms	(log (+ (* re re) (* im im)))

series54.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
22.0ms	(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
9.0ms	(log (+ (* re re) (* im im)))

simplify59.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	528	2102
1	2132	1937
2	5001	1838

prune303.0ms

Filtered

96 candidates to 162 candidates (-68.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	152	10	162
Fresh	8	3	11
Picked	1	0	1
Done	0	0	0
Total	161	13	174

Merged error: 8.3b

Counts

174 → 13

localize19.0ms

Local error

Found 3 expressions with local error:

0.3b

(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))

15.5b

(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))

18.2b

(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
44×	`times-frac`
39×	`add-cube-cbrt` `*-un-lft-identity`
25×	`pow-unpow` `associate-l` `sqrt-prod`
21×	`log-prod`
12×	`pow1` `unpow-prod-down`
11×	`add-exp-log`
8×	`log-pow` `add-cbrt-cube`
7×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-r` `sqr-pow`
3×	`rem-log-exp` `add-log-exp` `unswap-sqr`
2×	`pow-to-exp` `pow-exp` `prod-exp` `cbrt-unprod` `div-inv`
1×	`cbrt-undiv` `pow-pow` `div-exp` `pow-prod-down` `associate-l/` `-commutative`

Counts

3 → 117

Calls

3 calls:

12.0ms

(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))

4.0ms

(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))

7.0ms

(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

series115.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms

(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))

33.0ms

(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))

36.0ms

(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

simplify59.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	478	1721
1	2113	1522
2	5001	1321

prune298.0ms

Filtered

82 candidates to 126 candidates (-53.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	122	4	126
Fresh	3	9	12
Picked	0	1	1
Done	0	0	0
Total	125	14	139

Merged error: 8.3b

Counts

139 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (sqrt 1/2) (sqrt (log 10.0))) (log (+ (* re re) (* im im))))
0.4b	(/ (* (/ (sqrt 1/2) (sqrt (log 10.0))) (log (+ (* re re) (* im im)))) (sqrt (log 10.0)))
0.4b	(* (/ (sqrt 1/2) 1) (/ (* (/ (sqrt 1/2) (sqrt (log 10.0))) (log (+ (* re re) (* im im)))) (sqrt (log 10.0))))
32.8b	(log (+ (* re re) (* im im)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

82×	`times-frac`
81×	`add-sqr-sqrt`
72×	`sqrt-prod`
68×	`associate-l`
65×	`add-exp-log`
57×	`*-un-lft-identity`
55×	`add-cube-cbrt`
50×	`add-cbrt-cube`
25×	`div-exp`
22×	`prod-exp`
19×	`pow1`
17×	`cbrt-undiv`
16×	`cbrt-unprod`
15×	`associate-r`
11×	`log-pow`
10×	`unswap-sqr`
9×	`log-prod`
7×	`associate-/r*`
4×	`1-exp` `div-inv` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`
2×	`log-div` `pow-prod-down` `*-commutative`
1×	`frac-times` `frac-2neg` `flip3-+` `associate-r/` `rem-log-exp` `clear-num` `flip-+` `associate-/l/` `associate-/l`

Counts

4 → 191

Calls

4 calls:

17.0ms	(* (/ (sqrt 1/2) (sqrt (log 10.0))) (log (+ (* re re) (* im im))))
13.0ms	(/ (* (/ (sqrt 1/2) (sqrt (log 10.0))) (log (+ (* re re) (* im im)))) (sqrt (log 10.0)))
18.0ms	(* (/ (sqrt 1/2) 1) (/ (* (/ (sqrt 1/2) (sqrt (log 10.0))) (log (+ (* re re) (* im im)))) (sqrt (log 10.0))))
4.0ms	(log (+ (* re re) (* im im)))

series88.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (/ (sqrt 1/2) (sqrt (log 10.0))) (log (+ (* re re) (* im im))))
23.0ms	(/ (* (/ (sqrt 1/2) (sqrt (log 10.0))) (log (+ (* re re) (* im im)))) (sqrt (log 10.0)))
27.0ms	(* (/ (sqrt 1/2) 1) (/ (* (/ (sqrt 1/2) (sqrt (log 10.0))) (log (+ (* re re) (* im im)))) (sqrt (log 10.0))))
9.0ms	(log (+ (* re re) (* im im)))

simplify110.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	767	2950
1	3993	2493
2	5001	2238

prune436.0ms

Filtered

125 candidates to 203 candidates (-62.4%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	199	4	203
Fresh	1	11	12
Picked	0	1	1
Done	0	1	1
Total	200	17	217

Merged error: 8.2b

Counts

217 → 17

regimes850.0ms

Accuracy

56% (11.1b remaining)

Error of 18.1b against oracle of 7.1b and baseline of 32.2b

bsearch134.0ms

Steps

Iters	Range		Point
9	6.348834251386422e+85	1.2851912441517623e+92	5.145716173535339e+88
9	5.256720973682989e-168	1.3530211225308862e-161	1.3279530648718651e-166
8	-9.873171438603206e-278	-3.1126841309022304e-280	-4.8291153409778104e-279
8	-1.6848865737303705e+34	-2.4221106831049983e+30	-1.6591040242492743e+34

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	49
1	59	49
2	59	49

end0.0ms

sample646.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

501.0ms

8000×

body

valid

Details

sample26.0ms

simplify3.0ms

prune3.0ms

localize14.0ms

rewrite12.0ms

series25.0ms

simplify116.0ms

prune135.0ms

localize15.0ms

rewrite37.0ms

series54.0ms

simplify59.0ms

prune303.0ms

localize19.0ms

rewrite30.0ms

series115.0ms

simplify59.0ms

prune298.0ms

localize16.0ms

rewrite60.0ms

series88.0ms

simplify110.0ms

prune436.0ms

regimes850.0ms

bsearch134.0ms

simplify3.0ms

end0.0ms

sample646.0ms

Profiling