Details

analyze4.8s

Algorithm: search

sample726.0ms

Algorithm

intervals

Results

457.0ms	2059×	body	80	invalid
61.0ms	256×	body	80	valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	132	47
1	350	47
2	1758	47
3	5001	47

prune10.0ms

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: 27.8b

Counts

2 → 1

localize66.0ms

Local error

Found 4 expressions with local error:

8.5b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.6b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.2b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
10.4b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

24×	`flip3--` `flip--`
20×	`add-sqr-sqrt`
16×	`frac-times`
12×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
8×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

8.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
8.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
49.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
48.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
52.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1081	1572
1	5001	1484

prune469.0ms

Filtered

100 candidates to 132 candidates (-32.0%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	111	21	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	21	133

Merged error: 16.3b

Counts

133 → 21

localize64.0ms

Local error

Found 4 expressions with local error:

8.6b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.8b	(* (- (* x j) (* z k)) (* y0 b))
10.4b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
11.8b	(* (- (* x j) (* z k)) (neg (* y1 i)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`flip3--` `flip--`
13×	`associate-r`
12×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`frac-times` `associate-*l/`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
3×	`unswap-sqr`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 104

Calls

4 calls:

8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
7.0ms	(* (- (* x j) (* z k)) (* y0 b))
15.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
7.0ms	(* (- (* x j) (* z k)) (neg (* y1 i)))

series154.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
26.0ms	(* (- (* x j) (* z k)) (* y0 b))
50.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
28.0ms	(* (- (* x j) (* z k)) (neg (* y1 i)))

simplify104.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	820	1157
1	3999	1040
2	5001	1040

prune358.0ms

Filtered

83 candidates to 116 candidates (-39.8%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	1	19	20
Picked	1	0	1
Done	0	0	0
Total	116	21	137

Merged error: 16.1b

Counts

137 → 21

localize65.0ms

Local error

Found 4 expressions with local error:

8.5b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
10.2b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
10.4b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
10.5b	(* (- (* t j) (* y k)) (neg (* y5 i)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`flip3--` `flip--`
15×	`associate-r`
12×	`pow1` `add-exp-log` `frac-times` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `add-cbrt-cube`
8×	`associate-*l/`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 114

Calls

4 calls:

8.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
7.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
7.0ms	(* (- (* t j) (* y k)) (neg (* y5 i)))

series180.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
50.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
47.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
32.0ms	(* (- (* t j) (* y k)) (neg (* y5 i)))

simplify125.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	974	1385
1	4819	1273
2	5002	1273

prune372.0ms

Filtered

93 candidates to 126 candidates (-35.5%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	1	19	20
Picked	1	0	1
Done	0	0	0
Total	126	21	147

Merged error: 15.6b

Counts

147 → 21

localize66.0ms

Local error

Found 4 expressions with local error:

8.6b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.8b	(* (- (* x y) (* z t)) (neg (* c i)))
10.2b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
10.4b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`flip3--` `flip--`
15×	`associate-r`
12×	`pow1` `add-exp-log` `frac-times` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `add-cbrt-cube`
8×	`associate-*l/`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 114

Calls

4 calls:

8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
13.0ms	(* (- (* x y) (* z t)) (neg (* c i)))
8.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
8.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

series176.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
28.0ms	(* (- (* x y) (* z t)) (neg (* c i)))
50.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
48.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

simplify124.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	972	1385
1	4803	1273
2	5002	1273

prune154.0ms

Filtered

93 candidates to 126 candidates (-35.5%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	1	19	20
Picked	1	0	1
Done	0	0	0
Total	126	21	147

Merged error: 15.1b

Counts

147 → 21

regimes6.4s

bsearch2.0min

Steps

Iters	Range		Point
9	6.642044943705795e+26	3.011640493355182e+32	2.2742970753103417e+30
8	4.036571156555407e-168	5.210753689626831e-165	5.282910044769575e-168
6	1.1397525961216891e-237	8.425940242354181e-237	3.8709425581429327e-237
0	2.6985722049711796e-245	2.778882966866797e-245	2.738727585918988e-245
2	6.190471490692332e-280	7.112126080921927e-280	6.766505609585828e-280
6	-8.831657949885507e-307	-9.875557337819887e-308	-8.309191048605068e-307
8	-9.639181428670337e-226	-9.508385440403532e-229	-6.197029750911648e-227
9	-1.748198583873794e-90	-7.892809156316138e-98	-1.1781792120282163e-94

simplify8.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	232	461
1	250	461
2	257	461
3	257	461

end0.0ms

analyze5.0s

Algorithm: search

sample10.2s

Algorithm

intervals

Results

6.7s	29786×	body	80	invalid
825.0ms	3684×	body	80	valid

Details

analyze4.8s

sample726.0ms

simplify45.0ms

prune10.0ms

localize66.0ms

rewrite35.0ms

series200.0ms

simplify40.0ms

prune469.0ms

localize64.0ms

rewrite39.0ms

series154.0ms

simplify104.0ms

prune358.0ms

localize65.0ms

rewrite33.0ms

series180.0ms

simplify125.0ms

prune372.0ms

localize66.0ms

rewrite41.0ms

series176.0ms

simplify124.0ms

prune154.0ms

regimes6.4s

bsearch2.0min

simplify8.0ms

end0.0ms

analyze5.0s

sample10.2s

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