Details

sample29.0ms

Algorithm

intervals

Results

11.0ms

268×

body

valid

simplify9.0ms

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

prune5.0ms

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: 26.6b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b	(- (* x.im y.re) (* x.re y.im))
26.2b	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite13.0ms

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

series125.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- (* x.im y.re) (* x.re y.im))
86.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

simplify98.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (24.0ms)

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

prune243.0ms

Filtered

50 candidates to 39 candidates (78.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	42	8	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	8	51

Merged error: 25.9b

Counts

51 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* x.im y.re) (* x.re y.im))
14.8b	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
30.7b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
30.7b	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite21.0ms

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))
9.0ms	(/ (- (* 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)))
4.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* x.im y.re) (* x.re y.im))
110.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
35.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
40.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify97.0ms

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

prune444.0ms

Filtered

98 candidates to 75 candidates (76.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	96	10	106

Merged error: 24.1b

Counts

106 → 10

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b	(- (* x.im y.re) (* x.re y.im))
0.5b	(/ 1 (/ (+ (* y.re y.re) (* y.im y.im)) (- (* x.im y.re) (* x.re y.im))))
26.0b	(/ (+ (* y.re y.re) (* y.im y.im)) (- (* x.im y.re) (* x.re y.im)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
55×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`sub-neg` `pow-flip` `flip3-+` `diff-log` `flip-+` `inv-pow`

Counts

3 → 127

Calls

3 calls:

3.0ms	(- (* x.im y.re) (* x.re y.im))
9.0ms	(/ 1 (/ (+ (* y.re y.re) (* y.im y.im)) (- (* x.im y.re) (* x.re y.im))))
9.0ms	(/ (+ (* y.re y.re) (* y.im y.im)) (- (* x.im y.re) (* x.re y.im)))

series243.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- (* x.im y.re) (* x.re y.im))
149.0ms	(/ 1 (/ (+ (* y.re y.re) (* y.im y.im)) (- (* x.im y.re) (* x.re y.im))))
58.0ms	(/ (+ (* y.re y.re) (* y.im y.im)) (- (* x.im y.re) (* x.re y.im)))

simplify56.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	478	1746
1	2150	1597
2	5002	1509

prune406.0ms

Filtered

136 candidates to 75 candidates (55.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	136	10	146

Merged error: 24.1b

Counts

146 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* x.im y.re) (* x.re y.im))
0.5b	(/ 1 (* (+ (* y.re y.re) (* y.im y.im)) (/ 1 (- (* x.im y.re) (* x.re y.im)))))
0.7b	(/ 1 (- (* x.im y.re) (* x.re y.im)))
25.8b	(* (+ (* y.re y.re) (* y.im y.im)) (/ 1 (- (* x.im y.re) (* x.re y.im))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
29×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `times-frac`
22×	`add-cube-cbrt`
20×	`div-exp` `add-cbrt-cube`
16×	`prod-exp`
15×	`associate-r`
10×	`pow1` `rec-exp` `1-exp` `associate-/r/`
6×	`cbrt-undiv` `associate-/l*` `add-log-exp`
4×	`frac-times` `flip3-+` `associate-l/` `associate-/r` `cbrt-unprod` `flip-+`
3×	`flip3--` `pow-flip` `associate-l` `flip--` `div-inv` `unswap-sqr`
2×	`frac-2neg` `associate-*r/` `pow-prod-down` `clear-num` `un-div-inv` `inv-pow`
1×	`sub-neg` `diff-log` `*-commutative`

Counts

4 → 131

Calls

4 calls:

3.0ms	(- (* x.im y.re) (* x.re y.im))
11.0ms	(/ 1 (* (+ (* y.re y.re) (* y.im y.im)) (/ 1 (- (* x.im y.re) (* x.re y.im)))))
5.0ms	(/ 1 (- (* x.im y.re) (* x.re y.im)))
12.0ms	(* (+ (* y.re y.re) (* y.im y.im)) (/ 1 (- (* x.im y.re) (* x.re y.im))))

series275.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* x.im y.re) (* x.re y.im))
152.0ms	(/ 1 (* (+ (* y.re y.re) (* y.im y.im)) (/ 1 (- (* x.im y.re) (* x.re y.im)))))
28.0ms	(/ 1 (- (* x.im y.re) (* x.re y.im)))
60.0ms	(* (+ (* y.re y.re) (* y.im y.im)) (/ 1 (- (* x.im y.re) (* x.re y.im))))

simplify58.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	475	1236
1	2279	1037
2	5002	997

prune376.0ms

Filtered

143 candidates to 77 candidates (53.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	143	10	153

Merged error: 24.1b

Counts

153 → 10

regimes489.0ms

Accuracy

0% (2.8b remaining)

Error of 25.7b against oracle of 22.9b and baseline of 25.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	13
1	16	13

end0.0ms

sample701.0ms

Algorithm

intervals

Results

351.0ms

8477×

body

valid

Details

sample29.0ms

simplify9.0ms

prune5.0ms

localize10.0ms

rewrite13.0ms

series125.0ms

simplify98.0ms

prune243.0ms

localize12.0ms

rewrite21.0ms

series226.0ms

simplify97.0ms

prune444.0ms

localize11.0ms

rewrite26.0ms

series243.0ms

simplify56.0ms

prune406.0ms

localize15.0ms

rewrite35.0ms

series275.0ms

simplify58.0ms

prune376.0ms

regimes489.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample701.0ms

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