Details

analyze339.0ms

Algorithm: search

sample32.0ms

Algorithm

intervals

Results

9.0ms	195×	body	80	valid
5.0ms	20×	body	2560	valid
3.0ms	15×	body	1280	valid
3.0ms	15×	body	640	valid
2.0ms	5×	body	5120	valid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	8
1	24	8
2	24	8

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: 38.7b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
0.6b	(+ (sqrt (+ (* re re) (* im im))) re)
29.9b	(sqrt (+ (* re re) (* im im)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1`
6×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-log-exp`
4×	`add-cube-cbrt` `sqrt-div` `sqrt-prod`
3×	`add-exp-log` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`pow1/2` `associate-*r/`
1×	`+-commutative` `rem-sqrt-square` `pow-prod-down` `sum-log` `distribute-lft-out`

Counts

3 → 40

Calls

3 calls:

7.0ms	(sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
6.0ms	(+ (sqrt (+ (* re re) (* im im))) re)
4.0ms	(sqrt (+ (* re re) (* im im)))

series39.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
7.0ms	(+ (sqrt (+ (* re re) (* im im))) re)
6.0ms	(sqrt (+ (* re re) (* im im)))

simplify78.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	247	351
1	781	333
2	2656	327
3	5001	325

prune112.0ms

Filtered

42 candidates to 49 candidates (-16.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	41	8	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	8	50

Merged error: 19.0b

Counts

50 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3)
0.6b	(+ (sqrt (+ (* re re) (* im im))) re)
16.7b	(cbrt (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3))
29.9b	(sqrt (+ (* re re) (* im im)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
13×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
9×	`pow1`
8×	`unpow-prod-down` `cube-prod`
7×	`sqrt-prod`
6×	`sqrt-div` `add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
4×	`cube-div` `pow-pow` `flip3-+` `associate-*r/` `flip-+`
3×	`pow-unpow` `sqrt-pow1`
2×	`cube-mult` `cbrt-div` `pow1/2` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `rem-sqrt-square` `pow1/3` `pow-prod-down` `pow-exp` `sum-log` `sqrt-pow2` `rem-cbrt-cube` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 83

Calls

4 calls:

10.0ms	(pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3)
6.0ms	(+ (sqrt (+ (* re re) (* im im))) re)
4.0ms	(cbrt (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3))
4.0ms	(sqrt (+ (* re re) (* im im)))

series100.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3)
7.0ms	(+ (sqrt (+ (* re re) (* im im))) re)
23.0ms	(cbrt (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3))
6.0ms	(sqrt (+ (* re re) (* im im)))

simplify58.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	437	887
1	1758	863
2	5002	848

prune158.0ms

Filtered

63 candidates to 95 candidates (-50.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	94	9	103

Merged error: 19.0b

Counts

103 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

16.3b	(sqrt (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3))
16.7b	(cbrt (* (sqrt (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3)) (sqrt (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3))))
29.9b	(sqrt (+ (* re re) (* im im)))
29.9b	(sqrt (+ (* re re) (* im im)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-div`
22×	`sqrt-prod`
16×	`associate-*r/`
14×	`cube-div` `add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+`
8×	`cbrt-div`
6×	`pow1` `rem-sqrt-square`
5×	`unpow-prod-down` `cube-prod`
4×	`add-exp-log` `frac-times` `add-cbrt-cube` `add-log-exp`
3×	`sqrt-pow1` `pow1/2`
2×	`associate-*l/` `sqr-pow`
1×	`cbrt-prod` `cube-mult` `pow1/3` `unpow3`

Counts

4 → 76

Calls

4 calls:

5.0ms	(sqrt (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3))
13.0ms	(cbrt (* (sqrt (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3)) (sqrt (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3))))
4.0ms	(sqrt (+ (* re re) (* im im)))
4.0ms	(sqrt (+ (* re re) (* im im)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(sqrt (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3))
23.0ms	(cbrt (* (sqrt (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3)) (sqrt (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3))))
6.0ms	(sqrt (+ (* re re) (* im im)))
9.0ms	(sqrt (+ (* re re) (* im im)))

simplify51.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	457	1132
1	1313	1037
2	5002	1026

prune226.0ms

Filtered

68 candidates to 88 candidates (-29.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	88	9	97

Merged error: 19.0b

Counts

97 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
6.2b	(+ (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re)
30.9b	(cbrt (+ (* re re) (* im im)))
30.9b	(cbrt (+ (* re re) (* im im)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
9×	`associate-r`
8×	`sqrt-prod`
6×	`pow1` `add-exp-log` `cbrt-div` `add-cbrt-cube` `add-log-exp`
4×	`flip3-+` `flip-+`
3×	`associate-l` `unswap-sqr`
2×	`pow1/3` `sqrt-div` `associate-*r/`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod`

Counts

4 → 65

Calls

4 calls:

8.0ms	(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
8.0ms	(+ (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re)
4.0ms	(cbrt (+ (* re re) (* im im)))
6.0ms	(cbrt (+ (* re re) (* im im)))

series107.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))
29.0ms	(+ (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re)
21.0ms	(cbrt (+ (* re re) (* im im)))
21.0ms	(cbrt (+ (* re re) (* im im)))

simplify132.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	355	1000
1	1235	940
2	4815	899
3	5002	885

prune119.0ms

Filtered

66 candidates to 77 candidates (-16.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	77	9	86

Merged error: 19.0b

Counts

86 → 9

regimes699.0ms

Accuracy

57.6% (8.9b remaining)

Error of 27.0b against oracle of 18.1b and baseline of 39.0b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	49
1	41	49

end0.0ms

analyze334.0ms

Algorithm: search

sample944.0ms

Algorithm

intervals

Results

299.0ms	6029×	body	80	valid
207.0ms	737×	body	2560	valid
113.0ms	482×	body	1280	valid
93.0ms	259×	body	5120	valid
47.0ms	248×	body	640	valid
25.0ms	163×	body	320	valid
7.0ms	82×	body	160	valid

Details

analyze339.0ms

sample32.0ms

simplify5.0ms

prune4.0ms

localize11.0ms

rewrite19.0ms

series39.0ms

simplify78.0ms

prune112.0ms

localize14.0ms

rewrite27.0ms

series100.0ms

simplify58.0ms

prune158.0ms

localize17.0ms

rewrite29.0ms

series82.0ms

simplify51.0ms

prune226.0ms

localize14.0ms

rewrite28.0ms

series107.0ms

simplify132.0ms

prune119.0ms

regimes699.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

analyze334.0ms

sample944.0ms

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