Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify2.0ms

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

localize10.0ms

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))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(/ (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

prune87.0ms

Filtered

36 candidates to 24 candidates (66.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	26	10	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	10	37

Merged error: 0.0b

Counts

37 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.4b	(log1p (expm1 (/ (atan2 im re) (log 10.0))))
0.6b	(expm1 (/ (atan2 im re) (log 10.0)))
0.8b	(/ (atan2 im re) (log 10.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

1.0ms	(log1p (expm1 (/ (atan2 im re) (log 10.0))))
1.0ms	(expm1 (/ (atan2 im re) (log 10.0)))
3.0ms	(/ (atan2 im re) (log 10.0))

series263.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(log1p (expm1 (/ (atan2 im re) (log 10.0))))
94.0ms	(expm1 (/ (atan2 im re) (log 10.0)))
56.0ms	(/ (atan2 im re) (log 10.0))

simplify92.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	111	346
1	297	316
2	759	315
3	2692	315
4	5001	315

prune122.0ms

Filtered

64 candidates to 38 candidates (59.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	64	10	74

Merged error: 0.0b

Counts

74 → 10

localize10.0ms

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))))

rewrite35.0ms

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:

5.0ms	(/ (atan2 im re) (sqrt (log 10.0)))
24.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series184.0ms

Counts

2 → 6

Calls

2 calls:

115.0ms	(/ (atan2 im re) (sqrt (log 10.0)))
68.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify54.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (41.0ms)

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

prune248.0ms

Filtered

142 candidates to 77 candidates (54.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	136	6	142
Fresh	4	4	8
Picked	1	0	1
Done	0	1	1
Total	141	11	152

Merged error: 0.0b

Counts

152 → 11

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (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)))))

series181.0ms

Counts

2 → 6

Calls

2 calls:

115.0ms	(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
66.0ms	(* (/ 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	5002	682

prune168.0ms

Filtered

127 candidates to 61 candidates (48.0%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	127	11	138

Merged error: 0.0b

Counts

138 → 11

regimes160.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	5

end0.0ms

sample419.0ms

Algorithm

intervals

Results

281.0ms

8000×

body

valid