Details

sample21.0ms

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

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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))

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify89.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	84	202
1	232	188
2	581	188
3	1517	188
4	4358	188
5	5002	188

prune71.0ms

Filtered

34 candidates to 22 candidates (35.3%)

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:

6.0ms	(/ 1 (/ (log 10.0) (atan2 im re)))
4.0ms	(/ (log 10.0) (atan2 im re))

series116.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ 1 (/ (log 10.0) (atan2 im re)))
50.0ms	(/ (log 10.0) (atan2 im re))

simplify62.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	308	987
1	1318	879
2	4661	788
3	5001	788

prune179.0ms

Filtered

125 candidates to 55 candidates (56.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	122	3	125
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	123	10	133

Merged error: 0.0b

Counts

133 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ (log 10.0) (atan2 im re))
3.5b	(cbrt (/ (log 10.0) (atan2 im re)))
3.5b	(cbrt (/ (log 10.0) (atan2 im re)))
3.5b	(cbrt (/ (log 10.0) (atan2 im re)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

48×	`cbrt-prod` `times-frac`
37×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`pow1`
13×	`log-pow`
6×	`add-exp-log` `add-cbrt-cube`
4×	`div-inv` `associate-/l*` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/r*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`

Counts

4 → 106

Calls

4 calls:

4.0ms	(/ (log 10.0) (atan2 im re))
3.0ms	(cbrt (/ (log 10.0) (atan2 im re)))
3.0ms	(cbrt (/ (log 10.0) (atan2 im re)))
3.0ms	(cbrt (/ (log 10.0) (atan2 im re)))

series425.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ (log 10.0) (atan2 im re))
126.0ms	(cbrt (/ (log 10.0) (atan2 im re)))
125.0ms	(cbrt (/ (log 10.0) (atan2 im re)))
128.0ms	(cbrt (/ (log 10.0) (atan2 im re)))

simplify101.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 4 (91.0ms)

Iter	Nodes	Cost
0	117	908
1	292	862
2	738	856
3	2711	847
4	5001	846

prune521.0ms

Filtered

118 candidates to 82 candidates (30.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	118	10	128

Merged error: 0.0b

Counts

128 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
28×	`add-sqr-sqrt`
23×	`times-frac`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`div-exp`
19×	`add-cbrt-cube`
16×	`prod-exp`
13×	`associate-r`
10×	`pow1` `rec-exp` `1-exp`
6×	`cbrt-undiv` `associate-/l*`
4×	`associate-l` `associate-/r*` `cbrt-unprod`
3×	`pow-flip` `div-inv` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `associate-*r/` `pow-prod-down` `clear-num` `associate-/r/` `un-div-inv` `inv-pow`
1×	`log-pow` `*-commutative`

Counts

3 → 108

Calls

3 calls:

6.0ms	(/ 1 (* (log 10.0) (/ 1 (atan2 im re))))
3.0ms	(/ 1 (atan2 im re))
7.0ms	(* (log 10.0) (/ 1 (atan2 im re)))

series119.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ 1 (* (log 10.0) (/ 1 (atan2 im re))))
4.0ms	(/ 1 (atan2 im re))
50.0ms	(* (log 10.0) (/ 1 (atan2 im re)))

simplify63.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	294	623
1	1298	500
2	4056	462
3	5001	462

prune169.0ms

Filtered

117 candidates to 53 candidates (54.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	117	10	127

Merged error: 0.0b

Counts

127 → 10

regimes326.0ms

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	15
1	14	15

end0.0ms

sample478.0ms

Algorithm

intervals

Results

262.0ms

8000×

body

valid

Details

sample21.0ms

simplify2.0ms

prune4.0ms

localize6.0ms

rewrite4.0ms

series69.0ms

simplify89.0ms

prune71.0ms

localize7.0ms

rewrite15.0ms

series116.0ms

simplify62.0ms

prune179.0ms

localize11.0ms

rewrite15.0ms

series425.0ms

simplify101.0ms

prune521.0ms

localize8.0ms

rewrite20.0ms

series119.0ms

simplify63.0ms

prune169.0ms

regimes326.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample478.0ms

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