Details

analyze422.0ms

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

sample38.0ms

Algorithm

intervals

Results

23.0ms	256×	body	80	valid
3.0ms	41×	body	80	nan

simplify162.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (161.0ms)

Iter	Nodes	Cost
0	4829	28
1	4829	28

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: 32.6b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (- (* (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))
0.5b	(* (log base) (log base))
30.5b	(sqrt (+ (* re re) (* im im)))

rewrite24.0ms

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:

8.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
4.0ms	(* (atan2 im re) (log base))
4.0ms	(* (log base) (log base))
4.0ms	(sqrt (+ (* re re) (* im im)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
8.0ms	(* (atan2 im re) (log base))
14.0ms	(* (log base) (log base))
9.0ms	(sqrt (+ (* re re) (* im im)))

simplify44.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4942	1828
1	4942	1828

prune217.0ms

Filtered

80 candidates to 120 candidates (-50.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	110	10	120
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	111	10	121

Merged error: 0.1b

Counts

121 → 10

localize6.0ms

Local error

Found 1 expressions with local error:

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

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 base))

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

(/ (atan2 im re) (log base))

simplify56.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4938	330
1	4938	330

prune81.0ms

Filtered

22 candidates to 34 candidates (-54.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	27	7	34
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	31	13	44

Merged error: 0.0b

Counts

44 → 13

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 74

Calls

2 calls:

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

series26.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(* (atan2 im re) (/ 1 (log base)))
16.0ms	(/ 1 (log base))

simplify59.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5190	556

prune108.0ms

Filtered

39 candidates to 80 candidates (-105.1%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	77	16	93

Merged error: 0.0b

Counts

93 → 16

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (pow (log base) 3))
0.3b	(* (atan2 im re) (cbrt (/ 1 (pow (log base) 3))))
0.6b	(cbrt (/ 1 (pow (log base) 3)))
0.7b	(pow (log base) 3)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

134×	`times-frac`
106×	`add-sqr-sqrt`
101×	`cbrt-prod`
88×	`*-un-lft-identity`
84×	`add-cube-cbrt`
49×	`associate-r`
46×	`unpow-prod-down` `cube-prod`
29×	`pow1`
22×	`log-pow`
16×	`add-exp-log`
14×	`associate-/r*`
13×	`sqr-pow`
11×	`cube-mult` `unpow3`
10×	`unswap-sqr`
8×	`add-cbrt-cube`
6×	`div-exp`
4×	`pow-to-exp` `pow-exp` `add-log-exp`
3×	`rec-exp` `pow-unpow` `1-exp` `associate-l` `div-inv` `associate-/l*`
2×	`cbrt-div`
1×	`cbrt-undiv` `pow-flip` `pow-pow` `frac-2neg` `pow1/3` `associate-r/` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `cbrt-unprod` `inv-pow` `rem-cube-cbrt`

Counts

4 → 235

Calls

4 calls:

6.0ms	(/ 1 (pow (log base) 3))
15.0ms	(* (atan2 im re) (cbrt (/ 1 (pow (log base) 3))))
7.0ms	(cbrt (/ 1 (pow (log base) 3)))
2.0ms	(pow (log base) 3)

series73.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1 (pow (log base) 3))
14.0ms	(* (atan2 im re) (cbrt (/ 1 (pow (log base) 3))))
16.0ms	(cbrt (/ 1 (pow (log base) 3)))
18.0ms	(pow (log base) 3)

simplify66.0ms

Algorithm

egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4975	2477
1	4975	2477

prune214.0ms

Filtered

105 candidates to 247 candidates (-135.2%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	243	4	247
Fresh	5	8	13
Picked	0	1	1
Done	0	2	2
Total	248	15	263

Merged error: 0.0b

Counts

263 → 15

regimes391.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

end0.0ms

sample1.0s

Algorithm

intervals

Results

741.0ms	8000×	body	80	valid
86.0ms	985×	body	80	nan

Details

analyze422.0ms

sample38.0ms

simplify162.0ms

prune4.0ms

localize19.0ms

rewrite24.0ms

series42.0ms

simplify44.0ms

prune217.0ms

localize6.0ms

rewrite4.0ms

series11.0ms

simplify56.0ms

prune81.0ms

localize7.0ms

rewrite13.0ms

series26.0ms

simplify59.0ms

prune108.0ms

localize11.0ms

rewrite40.0ms

series73.0ms

simplify66.0ms

prune214.0ms

regimes391.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.0s

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