Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

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: 0.9b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.9b	(/ (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` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

3.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify90.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	84	202
1	232	188
2	595	188
3	1531	188
4	4373	188
5	5001	188

prune70.0ms

Filtered

34 candidates to 22 candidates (64.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	27	7	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	8	35

Merged error: 0.0b

Counts

35 → 8

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))))

rewrite29.0ms

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×	`rec-exp` `1-exp` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 132

Calls

2 calls:

4.0ms	(/ (atan2 im re) (sqrt (log 10.0)))
19.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series167.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(/ (atan2 im re) (sqrt (log 10.0)))
60.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify59.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	406	1427
1	1885	1234
2	5001	1126

prune221.0ms

Filtered

138 candidates to 72 candidates (52.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	133	5	138
Fresh	2	4	6
Picked	1	0	1
Done	1	0	1
Total	137	9	146

Merged error: 0.0b

Counts

146 → 9

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)))))

rewrite30.0ms

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×	`frac-times` `*-commutative` `div-inv` `add-log-exp`
1×	`associate-*l/`

Counts

2 → 117

Calls

2 calls:

10.0ms	(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
14.0ms	(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series170.0ms

Counts

2 → 6

Calls

2 calls:

109.0ms	(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
60.0ms	(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify52.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	415	1074
1	1996	823
2	5001	650

prune171.0ms

Filtered

123 candidates to 59 candidates (48.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	123	9	132

Merged error: 0.0b

Counts

132 → 9

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

417×	`times-frac`
302×	`add-sqr-sqrt`
212×	`*-un-lft-identity`
183×	`add-cube-cbrt`
136×	`sqrt-prod`
99×	`add-exp-log`
80×	`associate-r`
50×	`div-exp`
36×	`pow1`
35×	`unswap-sqr`
31×	`add-cbrt-cube`
28×	`prod-exp` `associate-/r*` `log-pow`
25×	`associate-l`
17×	`rec-exp` `1-exp`
13×	`cbrt-undiv`
11×	`div-inv`
10×	`associate-/l*`
6×	`cbrt-unprod`
3×	`pow-flip` `pow-prod-down` `inv-pow` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `associate-r/` `associate-l/` `un-div-inv` `*-commutative`

Counts

3 → 356

Calls

3 calls:

48.0ms	(* (/ 1 (sqrt (log 10.0))) (/ 1 (/ (sqrt (log 10.0)) (atan2 im re))))
8.0ms	(/ 1 (/ (sqrt (log 10.0)) (atan2 im re)))
4.0ms	(/ (sqrt (log 10.0)) (atan2 im re))

series251.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* (/ 1 (sqrt (log 10.0))) (/ 1 (/ (sqrt (log 10.0)) (atan2 im re))))
110.0ms	(/ 1 (/ (sqrt (log 10.0)) (atan2 im re)))
79.0ms	(/ (sqrt (log 10.0)) (atan2 im re))

simplify103.0ms

Algorithm

egg-herbie

Counts

365 → 365

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	1015	4295
1	4600	3592
2	5001	3179

prune447.0ms

Filtered

365 candidates to 154 candidates (42.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	364	1	365
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	365	9	374

Merged error: 0.0b

Counts

374 → 9

regimes163.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	9
1	14	9

end0.0ms

sample355.0ms

Algorithm

intervals

Results

224.0ms

8000×

body

valid