Details

analyze714.0ms (7.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4985	210
1	4985	210
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample25.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	18×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify129.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	5232	30

prune2.0ms (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

Error

28.3b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))
27.9b	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

rewrite71.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

28.2b

Rules

10×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
9×	`times-frac_binary64_2130`
4×	`add-exp-log_binary64_2162` `add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160`
3×	`associate-/l_binary64_2069` `associate-/r_binary64_2068`
2×	`pow1_binary64_2185` `flip3--_binary64_2128` `associate-/l/_binary64_2071` `flip--_binary64_2099` `associate-/r/_binary64_2070`
1×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `div-sub_binary64_2129` `clear-num_binary64_2123` `div-inv_binary64_2121` `flip3-+_binary64_2127` `flip-+_binary64_2098` `diff-log_binary64_2216` `sub-neg_binary64_2117` `cancel-sign-sub-inv_binary64_2090`

Counts

2 → 44

Calls

2 calls:

9.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
4.0ms	(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))

Compiler

Compiled 1243 to 168 computations (86.5% saved)

series502.0ms (5%)

Error

4.7b

Counts

2 → 51

Calls

2 calls:

320.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
146.0ms	(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))

Compiler

Compiled 1848 to 1169 computations (36.7% saved)

simplify87.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	6016	2391

prune95.0ms (0.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	86	9	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	9	96

Error

4.7b

Counts

96 → 9

Compiler

Compiled 1934 to 694 computations (64.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))) (/.f64 (-.f64 (.f64 y.re x.im) (*.f64 y.im x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))))
18.0b	(/.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
32.5b	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
32.5b	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))

rewrite499.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

4.6b

Rules

107×	`*-un-lft-identity_binary64_2124`
101×	`add-sqr-sqrt_binary64_2146`
94×	`times-frac_binary64_2130`
71×	`sqrt-prod_binary64_2140`
53×	`add-cube-cbrt_binary64_2159`
30×	`associate-l_binary64_2065` `associate-r_binary64_2064`
28×	`add-exp-log_binary64_2162`
24×	`unpow-prod-down_binary64_2203` `distribute-lft-out_binary64_2075`
18×	`add-cbrt-cube_binary64_2160`
15×	`unswap-sqr_binary64_2092`
10×	`sqrt-div_binary64_2141`
9×	`div-exp_binary64_2175`
8×	`pow1_binary64_2185` `associate-/r*_binary64_2068` `prod-exp_binary64_2173`
6×	`associate-/r/_binary64_2070`
5×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `cbrt-undiv_binary64_2158`
4×	`add-log-exp_binary64_2163` `cbrt-unprod_binary64_2157`
3×	`div-inv_binary64_2121` `associate-/l*_binary64_2069`
2×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `associate-/l/_binary64_2071` `1-exp_binary64_2168` `rec-exp_binary64_2174`
1×	`frac-2neg_binary64_2135` `div-sub_binary64_2129` `clear-num_binary64_2123` `flip3--_binary64_2128` `flip--_binary64_2099` `pow-prod-down_binary64_2195` `frac-times_binary64_2134` `associate-l/_binary64_2067` `associate-r/_binary64_2066` `*-commutative_binary64_2055`

Counts

4 → 185

Calls

4 calls:

44.0ms	(.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))) (/.f64 (-.f64 (.f64 y.re x.im) (*.f64 y.im x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))))
14.0ms	(/.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
8.0ms	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
8.0ms	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))

Compiler

Compiled 8050 to 4901 computations (39.1% saved)

series1.1s (11%)

Error

4.6b

Counts

4 → 100

Calls

4 calls:

420.0ms	(/.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
322.0ms	(.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))) (/.f64 (-.f64 (.f64 y.re x.im) (*.f64 y.im x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))))
124.0ms	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
118.0ms	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))

Compiler

Compiled 5930 to 4450 computations (25% saved)

simplify149.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

285 → 285

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4999	10121
1	4999	10121

prune529.0ms (5.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	281	4	285
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	284	10	294

Error

4.4b

Counts

294 → 10

Compiler

Compiled 9354 to 5521 computations (41% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b

(-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))

0.4b

(/.f64 1 (/.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))))

27.6b

(/.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))

rewrite277.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

4.4b

Rules

138×	`times-frac_binary64_2130`
135×	`*-un-lft-identity_binary64_2124`
71×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
32×	`unpow-prod-down_binary64_2203` `distribute-lft-out_binary64_2075`
24×	`associate-/r*_binary64_2068`
16×	`add-exp-log_binary64_2162`
11×	`associate-/r/_binary64_2070`
10×	`add-cbrt-cube_binary64_2160`
8×	`div-exp_binary64_2175` `associate-/l*_binary64_2069`
6×	`div-inv_binary64_2121` `flip3--_binary64_2128` `flip--_binary64_2099`
5×	`add-log-exp_binary64_2163`
4×	`pow1_binary64_2185` `cbrt-undiv_binary64_2158`
2×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-/l/_binary64_2071` `1-exp_binary64_2168` `rec-exp_binary64_2174`
1×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `inv-pow_binary64_2209` `pow-flip_binary64_2198` `diff-log_binary64_2216` `sub-neg_binary64_2117` `cancel-sign-sub-inv_binary64_2090`

Counts

3 → 159

Calls

3 calls:

16.0ms

(/.f64 1 (/.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))))

13.0ms

(/.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))

4.0ms

(-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))

Compiler

Compiled 5318 to 2577 computations (51.5% saved)

series812.0ms (8.1%)

Error

4.3b

Counts

3 → 81

Calls

3 calls:

320.0ms

(/.f64 1 (/.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))))

277.0ms

(/.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))

147.0ms

(-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))

Compiler

Compiled 4008 to 2985 computations (25.5% saved)

simplify125.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5029	8828

prune285.0ms (2.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	237	3	240
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	240	10	250

Error

2.2b

Counts

250 → 10

Compiler

Compiled 6102 to 2913 computations (52.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

1.9b	(-.f64 (/.f64 x.im y.re) (/.f64 (*.f64 y.im x.re) (pow.f64 y.re 2)))
10.4b	(/.f64 (*.f64 y.im x.re) (pow.f64 y.re 2))

rewrite85.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

17×	`times-frac_binary64_2130`
15×	`add-exp-log_binary64_2162`
14×	`add-sqr-sqrt_binary64_2146`
12×	`cancel-sign-sub-inv_binary64_2090`
11×	`*-un-lft-identity_binary64_2124`
9×	`add-cube-cbrt_binary64_2159` `unpow-prod-down_binary64_2203`
8×	`associate-/r*_binary64_2068`
7×	`add-cbrt-cube_binary64_2160`
6×	`div-exp_binary64_2175`
4×	`add-log-exp_binary64_2163`
3×	`prod-exp_binary64_2173` `unpow2_binary64_2189` `sqr-pow_binary64_2096`
2×	`pow1_binary64_2185` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `cbrt-undiv_binary64_2158` `div-inv_binary64_2121` `difference-of-squares_binary64_2093`
1×	`cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-/l*_binary64_2069` `diff-log_binary64_2216` `frac-sub_binary64_2133` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `distribute-lft-out--_binary64_2076`

Counts

2 → 62

Calls

2 calls:

16.0ms	(-.f64 (/.f64 x.im y.re) (/.f64 (*.f64 y.im x.re) (pow.f64 y.re 2)))
6.0ms	(/.f64 (*.f64 y.im x.re) (pow.f64 y.re 2))

Compiler

Compiled 1164 to 569 computations (51.1% saved)

series429.0ms (4.3%)

Error

2.2b

Counts

2 → 33

Calls

2 calls:

276.0ms	(-.f64 (/.f64 x.im y.re) (/.f64 (*.f64 y.im x.re) (pow.f64 y.re 2)))
135.0ms	(/.f64 (*.f64 y.im x.re) (pow.f64 y.re 2))

Compiler

Compiled 837 to 630 computations (24.7% saved)

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5042	1708

prune68.0ms (0.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	2	5	7
Picked	0	1	1
Done	0	2	2
Total	95	10	105

Error

0.8b

Counts

105 → 10

Compiler

Compiled 1255 to 540 computations (57% saved)

regimes1.8s (18%)

Accuracy

Total 15.4b remaining (95.4%)

Threshold costs 0b (0%)

Compiler

Compiled 8544 to 5773 computations (32.4% saved)

bsearch112.0ms (1.1%)

Steps

Iters	Range		Point
10	8.081117883300429e+114	1.6351102655646967e+127	7.391090750179387e+124
10	9.693216091886997e-154	2.87198521963364e-138	5.291717683969782e-146
4	-5.798366121246956e-141	-3.326969977979467e-141	-4.356524714149345e-141
10	-2.1680629731544688e-91	-5.060233102357552e-104	-6.794722579529425e-92
9	-4.615799095849733e+106	-3.791380124748032e+97	-1.8815821022379826e+98

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	126	191
1	126	191

end0.0ms (0%)

sample2.0s (19.7%)

Algorithm

1×

intervals

Results

339.0ms	8000×	body	128	valid
19.0ms	481×	body	128	invalid

Compiler

Compiled 1782 to 1197 computations (32.8% saved)

Details

analyze714.0ms (7.2%)

sample25.0ms (0.3%)

simplify129.0ms (1.3%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite71.0ms (0.7%)

series502.0ms (5%)

simplify87.0ms (0.9%)

prune95.0ms (0.9%)

localize14.0ms (0.1%)

rewrite499.0ms (5%)

series1.1s (11%)

simplify149.0ms (1.5%)

prune529.0ms (5.3%)

localize13.0ms (0.1%)

rewrite277.0ms (2.8%)

series812.0ms (8.1%)

simplify125.0ms (1.3%)

prune285.0ms (2.9%)

localize8.0ms (0.1%)

rewrite85.0ms (0.8%)

series429.0ms (4.3%)

simplify63.0ms (0.6%)

prune68.0ms (0.7%)

regimes1.8s (18%)

bsearch112.0ms (1.1%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.0s (19.7%)

Profiling