Details

sample26.0ms

Algorithm

intervals

Results

11.0ms

263×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	36	7
2	48	7
3	66	7
4	72	7
5	72	7

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: 25.4b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

1.2b	(- (* x.im y.re) (* x.re y.im))
25.0b	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

3.0ms	(- (* x.im y.re) (* x.re y.im))
7.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

series40.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(- (* x.im y.re) (* x.re y.im))
30.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

simplify96.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	251	464
1	938	427
2	3490	426
3	5002	426

prune81.0ms

Filtered

50 candidates to 39 candidates (22.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	44	6	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	7	51

Merged error: 24.6b

Counts

51 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

1.2b	(- (* x.im y.re) (* x.re y.im))
16.5b	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
30.0b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
30.0b	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-exp-log` `sqrt-div` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 86

Calls

4 calls:

3.0ms	(- (* x.im y.re) (* x.re y.im))
177.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
3.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
3.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series55.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* x.im y.re) (* x.re y.im))
34.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify95.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	304	910
1	990	857
2	3340	845
3	5003	845

prune117.0ms

Filtered

98 candidates to 75 candidates (23.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	96	9	105

Merged error: 23.1b

Counts

105 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

1.2b	(- (* x.im y.re) (* x.re y.im))
16.5b	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
30.0b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
30.0b	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-exp-log` `sqrt-div` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 86

Calls

4 calls:

3.0ms	(- (* x.im y.re) (* x.re y.im))
8.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
3.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
3.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* x.im y.re) (* x.re y.im))
34.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify96.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	304	910
1	990	857
2	3340	845
3	5003	845

prune109.0ms

Filtered

98 candidates to 75 candidates (23.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	98	9	107

Merged error: 23.1b

Counts

107 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

16.0b	(* (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (+ (* y.re y.re) (* y.im y.im))))
17.1b	(cbrt (- (* x.im y.re) (* x.re y.im)))
17.1b	(cbrt (- (* x.im y.re) (* x.re y.im)))
17.1b	(cbrt (- (* x.im y.re) (* x.re y.im)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div`
25×	`add-sqr-sqrt`
24×	`associate-r`
20×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
19×	`cbrt-prod`
16×	`add-exp-log` `frac-times`
15×	`flip3--` `flip--`
12×	`associate-*l/`
10×	`add-cbrt-cube`
9×	`pow1`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-*r/`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `associate-/r/`
1×	`flip3-+` `associate-l` `*-commutative` `flip-+` `div-inv`

Counts

4 → 102

Calls

4 calls:

20.0ms	(* (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (+ (* y.re y.re) (* y.im y.im))))
3.0ms	(cbrt (- (* x.im y.re) (* x.re y.im)))
3.0ms	(cbrt (- (* x.im y.re) (* x.re y.im)))
5.0ms	(cbrt (- (* x.im y.re) (* x.re y.im)))

series140.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (+ (* y.re y.re) (* y.im y.im))))
37.0ms	(cbrt (- (* x.im y.re) (* x.re y.im)))
39.0ms	(cbrt (- (* x.im y.re) (* x.re y.im)))
37.0ms	(cbrt (- (* x.im y.re) (* x.re y.im)))

simplify68.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	616	1943
1	2374	1754
2	5001	1671

prune114.0ms

Filtered

114 candidates to 91 candidates (20.2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	114	9	123

Merged error: 23.1b

Counts

123 → 9

regimes436.0ms

Accuracy

31.9% (2.0b remaining)

Error of 25.1b against oracle of 23.1b and baseline of 26.1b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	26
1	27	26
2	27	26

end0.0ms

sample745.0ms

Algorithm

intervals

Results

365.0ms

8499×

body

valid

Details

sample26.0ms

simplify8.0ms

prune4.0ms

localize9.0ms

rewrite11.0ms

series40.0ms

simplify96.0ms

prune81.0ms

localize11.0ms

rewrite189.0ms

series55.0ms

simplify95.0ms

prune117.0ms

localize16.0ms

rewrite20.0ms

series56.0ms

simplify96.0ms

prune109.0ms

localize14.0ms

rewrite35.0ms

series140.0ms

simplify68.0ms

prune114.0ms

regimes436.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample745.0ms

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