Details

analyze173.0ms (2.4%)

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)

sample28.0ms (0.4%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
1.0ms	14×	body	128	invalid

Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify306.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (176.0ms)

Iter	Nodes	Cost
0	4956	20
1	4956	20

prune7.0ms (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

8.8b

Counts

2 → 2

Compiler

Compiled 41 to 29 computations (29.3% saved)

localize14.0ms (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))
0.1b	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
8.3b	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)

rewrite132.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`add-sqr-sqrt_binary64_3169` `associate-*l/_binary64_3090`
8×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
7×	`associate-l_binary64_3088`
6×	`associate-r_binary64_3087`
4×	`flip3--_binary64_3151` `flip--_binary64_3122` `flip3-+_binary64_3150` `flip-+_binary64_3121` `frac-sub_binary64_3156`
2×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `*-commutative_binary64_3078`
1×	`difference-of-squares_binary64_3116` `diff-log_binary64_3239` `sub-neg_binary64_3140` `cancel-sign-sub-inv_binary64_3113` `sum-log_binary64_3238` `+-commutative_binary64_3077`

Counts

4 → 68

Calls

4 calls:

10.0ms	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
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))
7.0ms	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
6.0ms	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)

Compiler

Compiled 2304 to 309 computations (86.6% saved)

series584.0ms (8.2%)

Error

7.1b

Counts

4 → 36

Calls

4 calls:

207.0ms	(-.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))
178.0ms	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
88.0ms	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
84.0ms	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))

Compiler

Compiled 1392 to 856 computations (38.5% saved)

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4691	2004
1	4691	2004

prune128.0ms (1.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	100	4	104
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	101	5	106

Error

0.0b

Counts

106 → 5

Compiler

Compiled 2362 to 949 computations (59.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite236.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096`
31×	`cancel-sign-sub-inv_binary64_3113`
26×	`associate-*r/_binary64_3089`
25×	`add-sqr-sqrt_binary64_3169`
24×	`associate-*l/_binary64_3090`
23×	`*-un-lft-identity_binary64_3147`
19×	`add-cube-cbrt_binary64_3182`
18×	`flip3-+_binary64_3150` `flip-+_binary64_3121`
16×	`frac-sub_binary64_3156` `associate--l+_binary64_3084`
13×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
12×	`frac-times_binary64_3157`
11×	`flip3--_binary64_3151` `flip--_binary64_3122` `sub-neg_binary64_3140`
10×	`associate-l_binary64_3088`
9×	`associate-r_binary64_3087`
6×	`add-log-exp_binary64_3186`
5×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
3×	`*-commutative_binary64_3078`
2×	`unswap-sqr_binary64_3115`
1×	`distribute-lft-out_binary64_3098` `diff-log_binary64_3239` `difference-of-squares_binary64_3116` `distribute-lft-out--_binary64_3099`

Counts

4 → 137

Calls

4 calls:

19.0ms	(-.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))
13.0ms	(*.f64 x.re (-.f64 x.re x.im))
11.0ms	(.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)

Compiler

Compiled 4904 to 737 computations (85% saved)

series600.0ms (8.4%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

211.0ms	(-.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))
165.0ms	(.f64 (+.f64 x.re x.im) (.f64 x.re (-.f64 x.re x.im)))
100.0ms	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
78.0ms	(*.f64 x.re (-.f64 x.re x.im))

Compiler

Compiled 1680 to 964 computations (42.6% saved)

simplify141.0ms (2%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4716	4129
1	4716	4129

prune225.0ms (3.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	176	3	179
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	176	8	184

Error

0.0b

Counts

184 → 8

Compiler

Compiled 4360 to 1533 computations (64.8% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 x.re (+.f64 x.im x.re))
0.1b	(+.f64 (.f64 x.re (+.f64 x.im x.re)) (.f64 2 (*.f64 x.im x.re)))
0.2b	(.f64 (neg.f64 x.im) (+.f64 (.f64 x.re (+.f64 x.im x.re)) (.f64 2 (.f64 x.im x.re))))
6.7b	(.f64 (.f64 x.re x.re) (+.f64 x.re x.im))

rewrite131.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_3169`
15×	`*-un-lft-identity_binary64_3147`
14×	`associate-l_binary64_3088`
13×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
11×	`add-cube-cbrt_binary64_3182` `associate-r_binary64_3087`
6×	`add-log-exp_binary64_3186` `associate-*r/_binary64_3089`
5×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
4×	`distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `flip3-+_binary64_3150` `flip-+_binary64_3121`
3×	`unswap-sqr_binary64_3115` `*-commutative_binary64_3078` `distribute-rgt-neg-in_binary64_3105` `distribute-lft-neg-in_binary64_3104`
2×	`distribute-lft-out_binary64_3098` `associate-+l+_binary64_3080`
1×	`distribute-lft-neg-out_binary64_3106` `neg-mul-1_binary64_3143` `sum-log_binary64_3238` `+-commutative_binary64_3077`

Counts

4 → 90

Calls

4 calls:

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

Compiler

Compiled 2717 to 790 computations (70.9% saved)

series510.0ms (7.1%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

176.0ms	(.f64 (neg.f64 x.im) (+.f64 (.f64 x.re (+.f64 x.im x.re)) (.f64 2 (.f64 x.im x.re))))
105.0ms	(.f64 (.f64 x.re x.re) (+.f64 x.re x.im))
98.0ms	(+.f64 (.f64 x.re (+.f64 x.im x.re)) (.f64 2 (*.f64 x.im x.re)))
77.0ms	(*.f64 x.re (+.f64 x.im x.re))

Compiler

Compiled 2448 to 1404 computations (42.6% saved)

simplify120.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4964	2119
1	4964	2119

prune156.0ms (2.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	138	8	146

Error

Counts

146 → 8

Compiler

Compiled 3421 to 1262 computations (63.1% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x.re (*.f64 x.im 3))
0.1b	(.f64 x.re (+.f64 x.re (.f64 x.im 3)))
0.2b	(.f64 (neg.f64 x.im) (.f64 x.re (+.f64 x.re (*.f64 x.im 3))))
6.7b	(.f64 (.f64 x.re x.re) (+.f64 x.re x.im))

rewrite134.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
14×	`associate-l_binary64_3088`
13×	`add-sqr-sqrt_binary64_3169`
12×	`*-un-lft-identity_binary64_3147`
10×	`add-cube-cbrt_binary64_3182`
8×	`associate-r/_binary64_3089` `associate-r*_binary64_3087`
7×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
6×	`add-log-exp_binary64_3186` `distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096`
4×	`flip3-+_binary64_3150` `flip-+_binary64_3121`
3×	`*-commutative_binary64_3078` `distribute-rgt-neg-in_binary64_3105` `distribute-lft-neg-in_binary64_3104`
2×	`unswap-sqr_binary64_3115`
1×	`distribute-lft-out_binary64_3098` `distribute-lft-neg-out_binary64_3106` `neg-mul-1_binary64_3143` `sum-log_binary64_3238` `+-commutative_binary64_3077`

Counts

4 → 89

Calls

4 calls:

8.0ms	(.f64 (.f64 x.re x.re) (+.f64 x.re x.im))
8.0ms	(.f64 (neg.f64 x.im) (.f64 x.re (+.f64 x.re (*.f64 x.im 3))))
6.0ms	(.f64 x.re (+.f64 x.re (.f64 x.im 3)))
3.0ms	(+.f64 x.re (*.f64 x.im 3))

Compiler

Compiled 2228 to 906 computations (59.3% saved)

series489.0ms (6.8%)

Error

Counts

4 → 48

Calls

4 calls:

169.0ms	(.f64 (neg.f64 x.im) (.f64 x.re (+.f64 x.re (*.f64 x.im 3))))
111.0ms	(.f64 x.re (+.f64 x.re (.f64 x.im 3)))
103.0ms	(.f64 (.f64 x.re x.re) (+.f64 x.re x.im))
62.0ms	(+.f64 x.re (*.f64 x.im 3))

Compiler

Compiled 2160 to 1290 computations (40.3% saved)

simplify120.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4952	1986
1	4952	1986

prune139.0ms (1.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	138	7	145

Error

Counts

145 → 7

Compiler

Compiled 2821 to 1202 computations (57.4% saved)

regimes452.0ms (6.3%)

Accuracy

Total 0.3b remaining (99.2%)

Threshold costs 0.3b (99.2%)

Compiler

Compiled 5828 to 3157 computations (45.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	74	33
1	74	33

end0.0ms (0%)

sample2.2s (31%)

Algorithm

1×

intervals

Results

460.0ms	8000×	body	128	valid
21.0ms	384×	body	128	invalid

Compiler

Compiled 1950 to 1063 computations (45.5% saved)

Details

analyze173.0ms (2.4%)

sample28.0ms (0.4%)

simplify306.0ms (4.3%)

prune7.0ms (0.1%)

localize14.0ms (0.2%)

rewrite132.0ms (1.8%)

series584.0ms (8.2%)

simplify58.0ms (0.8%)

prune128.0ms (1.8%)

localize15.0ms (0.2%)

rewrite236.0ms (3.3%)

series600.0ms (8.4%)

simplify141.0ms (2%)

prune225.0ms (3.1%)

localize14.0ms (0.2%)

rewrite131.0ms (1.8%)

series510.0ms (7.1%)

simplify120.0ms (1.7%)

prune156.0ms (2.2%)

localize21.0ms (0.3%)

rewrite134.0ms (1.9%)

series489.0ms (6.8%)

simplify120.0ms (1.7%)

prune139.0ms (1.9%)

regimes452.0ms (6.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.2s (31%)

Profiling