Details

analyze505.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
23.4%	51.5%	25.1%	7
24.2%	50.7%	25.1%	8
24.6%	50.3%	25.1%	9
36.9%	25.5%	37.6%	10
37.2%	25.3%	37.6%	11
37.3%	25.1%	37.6%	12
43.5%	12.7%	43.8%	13
43.6%	12.6%	43.8%	14

sample44.0ms

Algorithm

intervals

Results

28.0ms	256×	body	80	valid
3.0ms	31×	body	80	nan

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	16
1	44	16
2	56	16
3	74	16
4	80	16
5	80	16

prune4.0ms

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: 30.8b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
0.4b	(* (atan2 im re) (log base))
0.6b	(* (log base) (log base))
28.6b	(sqrt (+ (* re re) (* im im)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
21×	`pow1`
12×	`log-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`times-frac`
8×	`associate-r`
7×	`associate-l` `log-pow`
6×	`distribute-rgt-in` `distribute-lft-in` `swap-sqr`
4×	`add-log-exp`
3×	`associate-/r` `sqrt-prod` `associate-/l`
2×	`flip3-+` `sqrt-div` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `pow2` `rem-sqrt-square` `flip3--` `frac-2neg` `sqrt-pow1` `pow-plus` `pow1/2` `div-sub` `div-exp` `clear-num` `pow-sqr` `pow-prod-up` `flip--` `div-inv`

Counts

4 → 108

Calls

4 calls:

9.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
7.0ms	(* (atan2 im re) (log base))
5.0ms	(* (log base) (log base))
4.0ms	(sqrt (+ (* re re) (* im im)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
10.0ms	(* (atan2 im re) (log base))
18.0ms	(* (log base) (log base))
6.0ms	(sqrt (+ (* re re) (* im im)))

simplify65.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	441	1237
1	1738	1127
2	5001	1101

prune235.0ms

Filtered

75 candidates to 120 candidates (-60.0%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	108	12	120
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	12	121

Merged error: 0.1b

Counts

121 → 12

localize10.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (atan2 im re) (/ (+ 0 (log base)) 1))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

117×	`times-frac`
93×	`*-un-lft-identity`
57×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`distribute-lft-out`
19×	`associate-/r*`
13×	`pow1`
12×	`log-pow`
8×	`add-exp-log`
6×	`add-cbrt-cube`
5×	`div-exp` `div-inv`
3×	`cbrt-undiv` `associate-/l*`
1×	`frac-2neg` `1-exp` `clear-num` `associate-/r/` `add-log-exp`

Counts

1 → 95

Calls

1 calls:

9.0ms

(/ (atan2 im re) (/ (+ 0 (log base)) 1))

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

(/ (atan2 im re) (/ (+ 0 (log base)) 1))

simplify76.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	355	941
1	1467	819
2	4142	698
3	5001	698

prune125.0ms

Filtered

37 candidates to 98 candidates (-164.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	91	7	98
Fresh	6	5	11
Picked	0	1	1
Done	0	0	0
Total	97	13	110

Merged error: 0.0b

Counts

110 → 13

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (log base))
0.3b	(* (/ 1 (log base)) (atan2 im re))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
26×	`times-frac`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt`
16×	`associate-l`
15×	`add-exp-log`
12×	`pow1`
9×	`add-cbrt-cube`
7×	`log-pow`
4×	`div-exp` `prod-exp` `associate-/r*`
3×	`associate-r` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `inv-pow`

Counts

2 → 73

Calls

2 calls:

4.0ms	(/ 1 (log base))
7.0ms	(* (/ 1 (log base)) (atan2 im re))

series30.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(/ 1 (log base))
13.0ms	(* (/ 1 (log base)) (atan2 im re))

simplify117.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	202	403
1	785	345
2	1921	301
3	4509	301
4	5001	301

prune122.0ms

Filtered

41 candidates to 79 candidates (-92.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	3	8	11
Picked	0	1	1
Done	0	1	1
Total	79	13	92

Merged error: 0.0b

Counts

92 → 13

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (log base) (atan2 im re))
0.3b	(/ 1 (/ (log base) (atan2 im re)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`pow1` `associate-/r*`
16×	`log-pow`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

2 → 119

Calls

2 calls:

4.0ms	(/ (log base) (atan2 im re))
7.0ms	(/ 1 (/ (log base) (atan2 im re)))

series29.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(/ (log base) (atan2 im re))
15.0ms	(/ 1 (/ (log base) (atan2 im re)))

simplify46.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	335	1005
1	1398	893
2	5000	790

prune68.0ms

Filtered

56 candidates to 125 candidates (-123.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	121	4	125
Fresh	3	7	10
Picked	0	1	1
Done	1	1	2
Total	125	13	138

Merged error: 0.0b

Counts

138 → 13

regimes507.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

analyze514.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
23.4%	51.5%	25.1%	7
24.2%	50.7%	25.1%	8
24.6%	50.3%	25.1%	9
36.9%	25.5%	37.6%	10
37.2%	25.3%	37.6%	11
37.3%	25.1%	37.6%	12
43.5%	12.7%	43.8%	13
43.6%	12.6%	43.8%	14

sample1.2s

Algorithm

intervals

Results

850.0ms	8000×	body	80	valid
93.0ms	965×	body	80	nan

Details

analyze505.0ms

sample44.0ms

simplify10.0ms

prune4.0ms

localize20.0ms

rewrite28.0ms

series47.0ms

simplify65.0ms

prune235.0ms

localize10.0ms

rewrite15.0ms

series13.0ms

simplify76.0ms

prune125.0ms

localize10.0ms

rewrite13.0ms

series30.0ms

simplify117.0ms

prune122.0ms

localize9.0ms

rewrite18.0ms

series29.0ms

simplify46.0ms

prune68.0ms

regimes507.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze514.0ms

sample1.2s

Profiling