Details

analyze417.0ms (4.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	46
1	34	46
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
68.7%	31.2%	0.1%	7
68.7%	31.2%	0.1%	8
71.8%	28.1%	0.1%	9
71.8%	28.1%	0.1%	10
73.4%	26.5%	0.1%	11
73.4%	26.5%	0.1%	12
74.1%	25.8%	0.1%	13
74.1%	25.8%	0.1%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample35.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	197×	body	128	valid
8.0ms	16×	body	4096	valid
4.0ms	19×	body	2048	valid
3.0ms	15×	body	1024	valid
1.0ms	7×	body	512	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	23
1	23	23

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

38.8b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.2b	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
30.4b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite90.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

38.6b

Rules

8×	`pow1_binary64_3208` `add-log-exp_binary64_3186`
7×	`*-un-lft-identity_binary64_3147`
6×	`add-sqr-sqrt_binary64_3169`
5×	`add-cube-cbrt_binary64_3182`
4×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `flip3-+_binary64_3150` `sqrt-div_binary64_3164` `flip-+_binary64_3121` `sqrt-prod_binary64_3163`
3×	`sqrt-pow1_binary64_3165`
2×	`pow1/2_binary64_3227` `sum-log_binary64_3238` `+-commutative_binary64_3077` `associate-*r/_binary64_3089`
1×	`rem-sqrt-square_binary64_3160` `distribute-lft-out_binary64_3098` `pow-prod-down_binary64_3218`

Counts

4 → 51

Calls

4 calls:

9.0ms	(sqrt.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
7.0ms	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
4.0ms	(+.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 1296 to 455 computations (64.9% saved)

series468.0ms (4.9%)

Error

7.1b

Counts

4 → 52

Calls

4 calls:

120.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
105.0ms	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
97.0ms	(+.f64 (.f64 re re) (.f64 im im))
95.0ms	(sqrt.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))

Compiler

Compiled 2074 to 1807 computations (12.9% saved)

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5296	1516

prune103.0ms (1.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	96	7	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	96	8	104

Error

6.6b

Counts

104 → 8

Compiler

Compiled 1883 to 960 computations (49% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (sqrt.f64 (.f64 2 (.f64 im im))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)))
0.5b	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
30.4b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
32.4b	(sqrt.f64 (.f64 2 (.f64 im im)))

rewrite181.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

6.6b

Rules

51×	`add-sqr-sqrt_binary64_3169`
50×	`sqrt-prod_binary64_3163`
38×	`*-un-lft-identity_binary64_3147`
36×	`times-frac_binary64_3153`
26×	`add-cube-cbrt_binary64_3182`
12×	`difference-of-squares_binary64_3116`
11×	`pow1_binary64_3208`
9×	`associate-/r*_binary64_3091`
6×	`add-log-exp_binary64_3186` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `distribute-lft-out--_binary64_3099`
4×	`sqrt-pow1_binary64_3165` `sqrt-div_binary64_3164` `associate-/l*_binary64_3092`
3×	`pow-prod-down_binary64_3218` `cancel-sign-sub-inv_binary64_3113`
2×	`pow1/2_binary64_3227` `flip3--_binary64_3151` `flip--_binary64_3122` `associate-/r/_binary64_3093`
1×	`flip3-+_binary64_3150` `flip-+_binary64_3121` `rem-sqrt-square_binary64_3160` `diff-log_binary64_3239` `sub-neg_binary64_3140` `div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `sqrt-undiv_binary64_3168` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `div-inv_binary64_3144`

Counts

4 → 108

Calls

4 calls:

19.0ms	(/.f64 (sqrt.f64 (.f64 2 (.f64 im im))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)))
8.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
4.0ms	(sqrt.f64 (.f64 2 (.f64 im im)))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 3656 to 1176 computations (67.8% saved)

series452.0ms (4.7%)

Error

2.1b

Counts

4 → 44

Calls

4 calls:

138.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
122.0ms	(/.f64 (sqrt.f64 (.f64 2 (.f64 im im))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)))
112.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
35.0ms	(sqrt.f64 (.f64 2 (.f64 im im)))

Compiler

Compiled 2285 to 1794 computations (21.5% saved)

simplify106.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4941	4054
1	4941	4054

prune182.0ms (1.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	145	7	152
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	146	14	160

Error

2.0b

Counts

160 → 14

Compiler

Compiled 4357 to 1741 computations (60% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (fabs.f64 im) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)))
0.4b	(.f64 (sqrt.f64 2) (/.f64 (fabs.f64 im) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))))
0.5b	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
30.4b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite229.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

2.0b

Rules

91×	`add-sqr-sqrt_binary64_3169`
61×	`sqrt-prod_binary64_3163`
58×	`*-un-lft-identity_binary64_3147` `times-frac_binary64_3153`
42×	`add-cube-cbrt_binary64_3182`
33×	`associate-r_binary64_3087`
16×	`difference-of-squares_binary64_3116`
11×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
9×	`associate-/r*_binary64_3091`
8×	`distribute-lft-out--_binary64_3099`
7×	`pow1_binary64_3208`
6×	`add-log-exp_binary64_3186` `sqrt-div_binary64_3164` `unswap-sqr_binary64_3115` `associate-l_binary64_3088`
4×	`associate-/r/_binary64_3093`
3×	`flip3--_binary64_3151` `flip--_binary64_3122` `cancel-sign-sub-inv_binary64_3113` `associate-/l*_binary64_3092`
2×	`div-exp_binary64_3198` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `cbrt-undiv_binary64_3181` `div-inv_binary64_3144`
1×	`pow1/2_binary64_3227` `sqrt-pow1_binary64_3165` `flip3-+_binary64_3150` `flip-+_binary64_3121` `rem-sqrt-square_binary64_3160` `diff-log_binary64_3239` `sub-neg_binary64_3140` `pow-prod-down_binary64_3218` `associate-r/_binary64_3089` `-commutative_binary64_3078` `frac-2neg_binary64_3158` `clear-num_binary64_3146`

Counts

4 → 144

Calls

4 calls:

22.0ms	(.f64 (sqrt.f64 2) (/.f64 (fabs.f64 im) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))))
11.0ms	(/.f64 (fabs.f64 im) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)))
8.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 4875 to 1272 computations (73.9% saved)

series650.0ms (6.8%)

Error

0.2b

Counts

4 → 51

Calls

4 calls:

180.0ms	(.f64 (sqrt.f64 2) (/.f64 (fabs.f64 im) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))))
163.0ms	(/.f64 (fabs.f64 im) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)))
132.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
114.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)

Compiler

Compiled 3084 to 2464 computations (20.1% saved)

simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4972	5213
1	4972	5213

prune223.0ms (2.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	192	3	195
Fresh	4	8	12
Picked	1	0	1
Done	0	1	1
Total	197	12	209

Error

0.2b

Counts

209 → 12

Compiler

Compiled 5578 to 1935 computations (65.3% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (/.f64 (fabs.f64 im) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))) (sqrt.f64 (sqrt.f64 2))))
0.3b	(/.f64 (fabs.f64 im) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)))
0.5b	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
30.4b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite220.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

48×	`add-sqr-sqrt_binary64_3169`
41×	`sqrt-prod_binary64_3163`
37×	`*-un-lft-identity_binary64_3147`
27×	`add-cube-cbrt_binary64_3182` `times-frac_binary64_3153`
15×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
10×	`pow1_binary64_3208` `difference-of-squares_binary64_3116`
9×	`associate-/r_binary64_3091` `associate-l*_binary64_3088`
6×	`add-log-exp_binary64_3186`
5×	`distribute-lft-out--_binary64_3099` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
4×	`sqrt-div_binary64_3164`
3×	`cancel-sign-sub-inv_binary64_3113` `associate-/l*_binary64_3092` `pow-prod-down_binary64_3218`
2×	`flip3--_binary64_3151` `flip--_binary64_3122` `div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `associate-/r/_binary64_3093`
1×	`pow1/2_binary64_3227` `sqrt-pow1_binary64_3165` `flip3-+_binary64_3150` `flip-+_binary64_3121` `rem-sqrt-square_binary64_3160` `diff-log_binary64_3239` `sub-neg_binary64_3140` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `div-inv_binary64_3144` `associate-l/_binary64_3090` `associate-r/_binary64_3089` `associate-r_binary64_3087` `*-commutative_binary64_3078`

Counts

4 → 112

Calls

4 calls:

21.0ms	(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (/.f64 (fabs.f64 im) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))) (sqrt.f64 (sqrt.f64 2))))
15.0ms	(/.f64 (fabs.f64 im) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)))
8.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 4189 to 1650 computations (60.6% saved)

series740.0ms (7.7%)

Error

0.1b

Counts

4 → 51

Calls

4 calls:

178.0ms	(.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (/.f64 (fabs.f64 im) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))) (sqrt.f64 (sqrt.f64 2))))
166.0ms	(/.f64 (fabs.f64 im) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)))
149.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
114.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)

Compiler

Compiled 3589 to 2969 computations (17.3% saved)

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5065	4209

prune223.0ms (2.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	160	3	163
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	163	12	175

Error

0.1b

Counts

175 → 12

Compiler

Compiled 4857 to 2268 computations (53.3% saved)

regimes2.2s (22.5%)

Accuracy

Total 17.9b remaining (98.3%)

Threshold costs 0b (0%)

Compiler

Compiled 14781 to 10851 computations (26.6% saved)

bsearch141.0ms (1.5%)

Steps

Iters	Range		Point
10	7.357543673421647e+118	6.477666456345214e+129	2.3008799010294317e+129
9	1.2280926239142839e-163	1.0064132709944625e-158	1.44375492704954e-163
7	-6.4889775764210945e-292	-6.192470926784294e-294	-1.9885990575258114e-292
9	-6.465375890931584e-185	-2.1569354848757162e-190	-1.3429819466281329e-189
8	-5.312263380690221e+151	-5.128460916259707e+148	-2.4801779605399377e+149

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	95	163
1	95	163

end0.0ms (0%)

sample2.7s (28%)

Algorithm

1×

intervals

Results

287.0ms	6055×	body	128	valid
162.0ms	543×	body	4096	valid
151.0ms	648×	body	2048	valid
72.0ms	407×	body	1024	valid
32.0ms	216×	body	512	valid
12.0ms	131×	body	256	valid

Compiler

Compiled 2076 to 1535 computations (26.1% saved)

Details

analyze417.0ms (4.3%)

sample35.0ms (0.4%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize11.0ms (0.1%)

rewrite90.0ms (0.9%)

series468.0ms (4.9%)

simplify80.0ms (0.8%)

prune103.0ms (1.1%)

localize12.0ms (0.1%)

rewrite181.0ms (1.9%)

series452.0ms (4.7%)

simplify106.0ms (1.1%)

prune182.0ms (1.9%)

localize16.0ms (0.2%)

rewrite229.0ms (2.4%)

series650.0ms (6.8%)

simplify77.0ms (0.8%)

prune223.0ms (2.3%)

localize15.0ms (0.2%)

rewrite220.0ms (2.3%)

series740.0ms (7.7%)

simplify72.0ms (0.7%)

prune223.0ms (2.3%)

regimes2.2s (22.5%)

bsearch141.0ms (1.5%)

simplify5.0ms (0%)

end0.0ms (0%)

sample2.7s (28%)

Profiling