Details

analyze123.0ms (2.6%)

Algorithm

1×

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
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
31.2%	50%	18.8%	7
40.6%	37.5%	22%	8
45.3%	26.5%	28.2%	9
46.8%	19.5%	33.7%	10
48.8%	14%	37.2%	11
51.7%	10.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	5.1%	41.6%	14

Compiler

Compiled 20 to 12 computations (40% saved)

sample19.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	14×	body	128	invalid

Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify242.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	4956	20
1	4956	20

prune4.0ms (0.1%)

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

Error

6.0b

Counts

2 → 2

Compiler

Compiled 41 to 29 computations (29.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
0.1b	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
0.2b	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
5.8b	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)

rewrite34.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_2828` `associate-*l/_binary64_2749`
8×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `*-un-lft-identity_binary64_2806` `add-log-exp_binary64_2845` `add-cube-cbrt_binary64_2841` `pow1_binary64_2867`
7×	`associate-l_binary64_2747`
6×	`associate-r_binary64_2746`
4×	`flip3--_binary64_2810` `flip-+_binary64_2780` `frac-sub_binary64_2815` `flip--_binary64_2781` `flip3-+_binary64_2809`
2×	`*-commutative_binary64_2737` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `pow-prod-down_binary64_2877` `unswap-sqr_binary64_2774`
1×	`cancel-sign-sub-inv_binary64_2772` `diff-log_binary64_2898` `sub-neg_binary64_2799` `sum-log_binary64_2897` `difference-of-squares_binary64_2775` `+-commutative_binary64_2736`

Counts

4 → 68

Calls

4 calls:

9.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
8.0ms	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
7.0ms	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
4.0ms	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))

series425.0ms (9%)

Counts

4 → 36

Calls

4 calls:

157.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
140.0ms	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
78.0ms	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
50.0ms	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))

Compiler

Compiled 888 to 648 computations (27% saved)

simplify54.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4691	2004
1	4691	2004

prune107.0ms (2.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	100	4	104
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	100	6	106

Error

0.0b

Counts

106 → 6

Compiler

Compiled 2349 to 976 computations (58.5% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
0.1b	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 x.re (-.f64 x.re x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
0.2b	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
0.2b	(.f64 (+.f64 x.re x.im) (.f64 x.re (-.f64 x.re x.im)))

rewrite55.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`distribute-lft-in_binary64_2755` `distribute-rgt-in_binary64_2756`
25×	`cancel-sign-sub-inv_binary64_2772`
24×	`associate-r/_binary64_2748` `associate-l/_binary64_2749`
19×	`flip-+_binary64_2780` `flip3-+_binary64_2809`
17×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
16×	`associate--l+_binary64_2743` `frac-sub_binary64_2815`
15×	`add-cube-cbrt_binary64_2841`
12×	`frac-times_binary64_2816`
11×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `pow1_binary64_2867`
10×	`flip3--_binary64_2810` `flip--_binary64_2781`
9×	`sub-neg_binary64_2799`
8×	`add-log-exp_binary64_2845`
7×	`associate-l_binary64_2747`
4×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `associate-r_binary64_2746` `pow-prod-down_binary64_2877`
2×	`*-commutative_binary64_2737`
1×	`distribute-lft-out_binary64_2757` `diff-log_binary64_2898` `sum-log_binary64_2897` `unswap-sqr_binary64_2774` `+-commutative_binary64_2736`

Counts

4 → 118

Calls

4 calls:

16.0ms	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 x.re (-.f64 x.re x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
12.0ms	(.f64 (+.f64 x.re x.im) (.f64 x.re (-.f64 x.re x.im)))
6.0ms	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
4.0ms	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))

series432.0ms (9.2%)

Counts

4 → 36

Calls

4 calls:

170.0ms	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 x.re (-.f64 x.re x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
137.0ms	(.f64 (+.f64 x.re x.im) (.f64 x.re (-.f64 x.re x.im)))
74.0ms	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
51.0ms	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))

Compiler

Compiled 888 to 648 computations (27% saved)

simplify105.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4873	3872
1	4873	3872

prune144.0ms (3.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	150	4	154
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	152	8	160

Error

0.0b

Counts

160 → 8

Compiler

Compiled 3726 to 1378 computations (63% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 x.re x.re) (+.f64 x.re x.im)) (.f64 (neg.f64 x.im) (+.f64 (.f64 x.re (+.f64 x.re x.im)) (.f64 x.re (.f64 x.im 2)))))
0.1b	(+.f64 (.f64 x.re (+.f64 x.re x.im)) (.f64 x.re (*.f64 x.im 2)))
0.2b	(.f64 (neg.f64 x.im) (+.f64 (.f64 x.re (+.f64 x.re x.im)) (.f64 x.re (.f64 x.im 2))))
4.4b	(.f64 (.f64 x.re x.re) (+.f64 x.re x.im))

rewrite48.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_2828` `associate-*r/_binary64_2748`
11×	`associate-l_binary64_2747` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `*-un-lft-identity_binary64_2806` `pow1_binary64_2867`
9×	`add-cube-cbrt_binary64_2841`
8×	`flip-+_binary64_2780` `add-log-exp_binary64_2845` `flip3-+_binary64_2809` `associate-r_binary64_2746`
5×	`distribute-lft-in_binary64_2755` `distribute-rgt-in_binary64_2756`
4×	`associate-+l+_binary64_2739` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `frac-add_binary64_2814` `pow-prod-down_binary64_2877`
3×	`distribute-lft-neg-in_binary64_2763` `distribute-lft-out_binary64_2757` `distribute-rgt-neg-in_binary64_2764`
2×	`*-commutative_binary64_2737` `associate-+r+_binary64_2738` `sum-log_binary64_2897` `distribute-lft-neg-out_binary64_2765` `unswap-sqr_binary64_2774` `+-commutative_binary64_2736`
1×	`unsub-neg_binary64_2800` `neg-mul-1_binary64_2802`

Counts

4 → 89

Calls

4 calls:

12.0ms	(.f64 (neg.f64 x.im) (+.f64 (.f64 x.re (+.f64 x.re x.im)) (.f64 x.re (.f64 x.im 2))))
11.0ms	(+.f64 (.f64 (.f64 x.re x.re) (+.f64 x.re x.im)) (.f64 (neg.f64 x.im) (+.f64 (.f64 x.re (+.f64 x.re x.im)) (.f64 x.re (.f64 x.im 2)))))
8.0ms	(.f64 (.f64 x.re x.re) (+.f64 x.re x.im))
8.0ms	(+.f64 (.f64 x.re (+.f64 x.re x.im)) (.f64 x.re (*.f64 x.im 2)))

series518.0ms (11%)

Counts

4 → 48

Calls

4 calls:

157.0ms	(.f64 (neg.f64 x.im) (+.f64 (.f64 x.re (+.f64 x.re x.im)) (.f64 x.re (.f64 x.im 2))))
155.0ms	(+.f64 (.f64 (.f64 x.re x.re) (+.f64 x.re x.im)) (.f64 (neg.f64 x.im) (+.f64 (.f64 x.re (+.f64 x.re x.im)) (.f64 x.re (.f64 x.im 2)))))
104.0ms	(+.f64 (.f64 x.re (+.f64 x.re x.im)) (.f64 x.re (*.f64 x.im 2)))
102.0ms	(.f64 (.f64 x.re x.re) (+.f64 x.re x.im))

Compiler

Compiled 1248 to 927 computations (25.7% saved)

simplify91.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4984	3129
1	4984	3129

prune141.0ms (3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	3	2	5
Picked	0	1	1
Done	1	1	2
Total	138	7	145

Error

Counts

145 → 7

Compiler

Compiled 3430 to 1541 computations (55.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x.re x.im) (*.f64 x.im 2))
0.0b	(+.f64 (.f64 (.f64 x.re x.re) (+.f64 x.re x.im)) (.f64 (.f64 x.re (neg.f64 x.im)) (+.f64 (+.f64 x.re x.im) (*.f64 x.im 2))))
0.3b	(.f64 (.f64 x.re (neg.f64 x.im)) (+.f64 (+.f64 x.re x.im) (*.f64 x.im 2)))
4.4b	(.f64 (.f64 x.re x.re) (+.f64 x.re x.im))

rewrite48.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `pow1_binary64_2867`
12×	`associate-*r/_binary64_2748`
11×	`add-log-exp_binary64_2845`
8×	`*-un-lft-identity_binary64_2806` `flip-+_binary64_2780` `flip3-+_binary64_2809`
7×	`add-sqr-sqrt_binary64_2828` `associate-r_binary64_2746`
6×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `add-cube-cbrt_binary64_2841` `pow-prod-down_binary64_2877`
4×	`distribute-lft-in_binary64_2755` `distribute-rgt-in_binary64_2756` `sum-log_binary64_2897` `frac-add_binary64_2814`
3×	`associate-+l+_binary64_2739`
2×	`associate-l_binary64_2747` `distribute-rgt-neg-out_binary64_2766` `*-commutative_binary64_2737` `associate-+r+_binary64_2738` `distribute-lft-neg-out_binary64_2765` `+-commutative_binary64_2736`
1×	`distribute-lft-out_binary64_2757` `unsub-neg_binary64_2800` `unswap-sqr_binary64_2774`

Counts

4 → 80

Calls

4 calls:

13.0ms	(+.f64 (.f64 (.f64 x.re x.re) (+.f64 x.re x.im)) (.f64 (.f64 x.re (neg.f64 x.im)) (+.f64 (+.f64 x.re x.im) (*.f64 x.im 2))))
11.0ms	(.f64 (.f64 x.re x.re) (+.f64 x.re x.im))
11.0ms	(.f64 (.f64 x.re (neg.f64 x.im)) (+.f64 (+.f64 x.re x.im) (*.f64 x.im 2)))
6.0ms	(+.f64 (+.f64 x.re x.im) (*.f64 x.im 2))

series466.0ms (9.9%)

Counts

4 → 48

Calls

4 calls:

153.0ms	(+.f64 (.f64 (.f64 x.re x.re) (+.f64 x.re x.im)) (.f64 (.f64 x.re (neg.f64 x.im)) (+.f64 (+.f64 x.re x.im) (*.f64 x.im 2))))
152.0ms	(.f64 (.f64 x.re (neg.f64 x.im)) (+.f64 (+.f64 x.re x.im) (*.f64 x.im 2)))
102.0ms	(.f64 (.f64 x.re x.re) (+.f64 x.re x.im))
58.0ms	(+.f64 (+.f64 x.re x.im) (*.f64 x.im 2))

Compiler

Compiled 1188 to 882 computations (25.8% saved)

simplify86.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4984	2712
1	4984	2712

prune112.0ms (2.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	128	7	135

Error

Counts

135 → 7

Compiler

Compiled 2888 to 1162 computations (59.8% saved)

regimes204.0ms (4.3%)

Accuracy

Total 0.2b remaining (98.4%)

Threshold costs 0.2b (98.4%)

Compiler

Compiled 2628 to 1668 computations (36.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	82	33
1	82	33

end0.0ms (0%)

sample1.2s (25.6%)

Algorithm

1×

intervals

Results

373.0ms	8000×	body	128	valid
19.0ms	407×	body	128	invalid

Compiler

Compiled 916 to 582 computations (36.5% saved)

Details

analyze123.0ms (2.6%)

sample19.0ms (0.4%)

simplify242.0ms (5.1%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

rewrite34.0ms (0.7%)

series425.0ms (9%)

simplify54.0ms (1.1%)

prune107.0ms (2.3%)

localize11.0ms (0.2%)

rewrite55.0ms (1.2%)

series432.0ms (9.2%)

simplify105.0ms (2.2%)

prune144.0ms (3.1%)

localize12.0ms (0.3%)

rewrite48.0ms (1%)

series518.0ms (11%)

simplify91.0ms (1.9%)

prune141.0ms (3%)

localize11.0ms (0.2%)

rewrite48.0ms (1%)

series466.0ms (9.9%)

simplify86.0ms (1.8%)

prune112.0ms (2.4%)

regimes204.0ms (4.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.2s (25.6%)

Profiling