Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.8b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.8b	(/ (atan2 im re) (log 10.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`associate-/r*` `log-pow`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
1×	`cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

3.0ms

(/ (atan2 im re) (log 10.0))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(/ (atan2 im re) (log 10.0))

simplify89.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	86	210
1	234	196
2	597	196
3	1533	196
4	4399	196
5	5001	196

prune80.0ms

Filtered

36 candidates to 24 candidates (66.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	27	9	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	28	9	37

Merged error: 0.1b

Counts

37 → 9

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (atan2 im re) (sqrt (log 10.0)))
0.8b	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt`
85×	`times-frac`
52×	`*-un-lft-identity`
51×	`sqrt-prod`
46×	`add-cube-cbrt`
26×	`add-exp-log`
25×	`associate-r` `associate-l`
16×	`add-cbrt-cube`
15×	`unswap-sqr`
14×	`pow1`
10×	`log-pow`
9×	`div-exp`
8×	`prod-exp`
7×	`associate-/r*`
5×	`cbrt-undiv`
4×	`cbrt-unprod`
3×	`div-inv` `associate-/l*`
2×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 136

Calls

2 calls:

4.0ms	(/ (atan2 im re) (sqrt (log 10.0)))
22.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series165.0ms

Counts

2 → 6

Calls

2 calls:

104.0ms	(/ (atan2 im re) (sqrt (log 10.0)))
60.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify53.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	410	1455
1	1889	1262
2	5001	1154

prune234.0ms

Filtered

142 candidates to 76 candidates (53.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	138	4	142
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	140	11	151

Merged error: 0.0b

Counts

151 → 11

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
0.8b	(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-exp-log`
46×	`times-frac`
43×	`add-sqr-sqrt`
40×	`prod-exp`
33×	`*-un-lft-identity`
31×	`add-cube-cbrt`
28×	`associate-l` `add-cbrt-cube`
26×	`associate-r` `sqrt-prod`
20×	`div-exp`
15×	`pow1`
12×	`cbrt-unprod`
10×	`rec-exp` `1-exp`
6×	`cbrt-undiv` `log-pow`
5×	`associate-*r/` `unswap-sqr`
4×	`pow-prod-down`
3×	`un-div-inv`
2×	`expm1-log1p-u` `frac-times` `*-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`associate-*l/`

Counts

2 → 121

Calls

2 calls:

10.0ms	(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
15.0ms	(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series168.0ms

Counts

2 → 6

Calls

2 calls:

106.0ms	(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
62.0ms	(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify46.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	419	1106
1	2000	855
2	5001	682

prune184.0ms

Filtered

127 candidates to 63 candidates (49.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	127	11	138

Merged error: 0.0b

Counts

138 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (sqrt (log 10.0)))
5.1b	(cbrt (atan2 im re))
5.1b	(cbrt (atan2 im re))
5.1b	(cbrt (atan2 im re))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `pow1/3` `sqrt-prod` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`log-pow`

Counts

4 → 56

Calls

4 calls:

2.0ms	(cbrt (sqrt (log 10.0)))
1.0ms	(cbrt (atan2 im re))
1.0ms	(cbrt (atan2 im re))
1.0ms	(cbrt (atan2 im re))

series121.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(cbrt (sqrt (log 10.0)))
42.0ms	(cbrt (atan2 im re))
37.0ms	(cbrt (atan2 im re))
42.0ms	(cbrt (atan2 im re))

simplify122.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (22.0ms)

Iter	Nodes	Cost
0	69	304
1	154	279
2	574	267
3	4533	258
4	5003	258

prune181.0ms

Filtered

66 candidates to 51 candidates (77.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	66	11	77

Merged error: 0.0b

Counts

77 → 11

regimes185.0ms

Accuracy

39.3% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.8b

bsearch2.0ms

Steps

Iters	Range		Point
0	-0.6821881769209206	-0.6821881769209205	-0.6821881769209206

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	13

end0.0ms

sample417.0ms

Algorithm

intervals

Results

276.0ms

8000×

body

valid