Details

analyze340.0ms (0.2%)

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
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)

sample38.0ms (0%)

Algorithm

1×

intervals

Results

12.0ms	187×	body	128	valid
6.0ms	25×	body	2048	valid
5.0ms	19×	body	4096	valid
3.0ms	16×	body	1024	valid
1.0ms	7×	body	512	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 34 to 32 computations (5.9% saved)

simplify98.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

3 → 3

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	25
1	25	25

prune3.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	3	3
Picked	0	0	0
Done	0	0	0
Total	1	5	6

Error

32.6b

Counts

6 → 3

Compiler

Compiled 17 to 14 computations (17.6% saved)

localize11.0ms (0%)

Local error

Found 8 expressions with local error:

27.9b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
0.7b	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
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))
0.0b	(sqrt.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.7b	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
27.9b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite38.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-log-exp_binary64_2845` `pow1_binary64_2867`
7×	`*-un-lft-identity_binary64_2806`
6×	`add-sqr-sqrt_binary64_2828`
5×	`add-cube-cbrt_binary64_2841`
4×	`sqrt-div_binary64_2823` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `flip-+_binary64_2780` `flip3-+_binary64_2809` `sqrt-prod_binary64_2822`
3×	`sqrt-pow1_binary64_2824`
2×	`pow1/2_binary64_2886` `sum-log_binary64_2897` `associate-*r/_binary64_2748` `+-commutative_binary64_2736`
1×	`distribute-lft-out_binary64_2757` `rem-sqrt-square_binary64_2819` `pow-prod-down_binary64_2877`

Counts

4 → 51

Calls

8 calls:

16.0ms	(sqrt.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
8.0ms	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
5.0ms	(+.f64 (.f64 re re) (.f64 im im))
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
0.0ms	(+.f64 (.f64 re re) (.f64 im im))

series399.0ms (0.3%)

Counts

4 → 53

Calls

4 calls:

132.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
100.0ms	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
92.0ms	(+.f64 (.f64 re re) (.f64 im im))
76.0ms	(sqrt.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))

Compiler

Compiled 1338 to 1219 computations (8.9% saved)

simplify76.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5309	1549

prune463.0ms (0.3%)

Pruning

58 alts after pruning (57 fresh and 1 done)

	Pruned	Kept	Total
New	49	55	104
Fresh	0	2	2
Picked	0	0	0
Done	0	1	1
Total	49	58	107

Error

5.8b

Counts

107 → 58

Compiler

Compiled 2501 to 1476 computations (41% saved)

localize13.0ms (0%)

Local error

Found 8 expressions with local error:

1.0b	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
0.3b	(/.f64 (sqrt.f64 (.f64 (.f64 im im) 2)) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)))
0.0b	(.f64 (.f64 im im) 2)
0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.3b	(/.f64 (sqrt.f64 (.f64 (.f64 im im) 2)) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)))
1.0b	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
27.4b	(sqrt.f64 (.f64 (.f64 im im) 2))
27.9b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite45.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`add-sqr-sqrt_binary64_2828`
50×	`sqrt-prod_binary64_2822`
38×	`*-un-lft-identity_binary64_2806`
36×	`times-frac_binary64_2812`
26×	`add-cube-cbrt_binary64_2841`
12×	`difference-of-squares_binary64_2775`
11×	`pow1_binary64_2867`
9×	`associate-/r*_binary64_2750`
6×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `distribute-lft-out--_binary64_2758` `add-log-exp_binary64_2845`
4×	`sqrt-div_binary64_2823` `sqrt-pow1_binary64_2824` `associate-/l*_binary64_2751`
3×	`cancel-sign-sub-inv_binary64_2772` `pow-prod-down_binary64_2877`
2×	`pow1/2_binary64_2886` `flip3--_binary64_2810` `flip--_binary64_2781` `associate-/r/_binary64_2752`
1×	`div-inv_binary64_2803` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `diff-log_binary64_2898` `sub-neg_binary64_2799` `rem-sqrt-square_binary64_2819` `flip-+_binary64_2780` `flip3-+_binary64_2809` `clear-num_binary64_2805` `sqrt-undiv_binary64_2827` `frac-2neg_binary64_2817`

Counts

4 → 108

Calls

8 calls:

16.0ms	(/.f64 (sqrt.f64 (.f64 (.f64 im im) 2)) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)))
9.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
4.0ms	(sqrt.f64 (.f64 (.f64 im im) 2))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
0.0ms	(+.f64 (.f64 re re) (.f64 im im))

series335.0ms (0.2%)

Counts

4 → 39

Calls

4 calls:

117.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
97.0ms	(/.f64 (sqrt.f64 (.f64 (.f64 im im) 2)) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)))
86.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
34.0ms	(sqrt.f64 (.f64 (.f64 im im) 2))

Compiler

Compiled 1265 to 1071 computations (15.3% saved)

simplify99.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5458	3931

localize8.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.2b	(*.f64 (sqrt.f64 2) (sqrt.f64 im))
0.2b	(*.f64 (sqrt.f64 2) (sqrt.f64 im))

rewrite10.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_2828`
10×	`sqrt-prod_binary64_2822`
6×	`associate-l_binary64_2747` `associate-r_binary64_2746`
5×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841` `pow1_binary64_2867`
4×	`unswap-sqr_binary64_2774`
3×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `pow-prod-down_binary64_2877`
2×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824`
1×	`*-commutative_binary64_2737` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `sqrt-unprod_binary64_2826` `add-log-exp_binary64_2845`

Counts

1 → 30

Calls

2 calls:

7.0ms	(*.f64 (sqrt.f64 2) (sqrt.f64 im))
0.0ms	(*.f64 (sqrt.f64 2) (sqrt.f64 im))

series22.0ms (0%)

Counts

1 → 3

Calls

1 calls:

22.0ms

(*.f64 (sqrt.f64 2) (sqrt.f64 im))

Compiler

Compiled 69 to 73 computations (-5.8% saved)

simplify52.0ms (0%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5050	353

localize12.0ms (0%)

Local error

Found 8 expressions with local error:

27.9b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
0.7b	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.0b	(sqrt.f64 (.f64 2 (pow.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re) 1)))
0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.0b	(sqrt.f64 (.f64 2 (pow.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re) 1)))
0.7b	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
27.9b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite34.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-log-exp_binary64_2845`
7×	`*-un-lft-identity_binary64_2806` `pow1_binary64_2867`
6×	`add-sqr-sqrt_binary64_2828`
5×	`add-cube-cbrt_binary64_2841`
4×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `sqrt-prod_binary64_2822`
3×	`sqrt-pow1_binary64_2824` `flip-+_binary64_2780` `flip3-+_binary64_2809`
2×	`sqrt-div_binary64_2823` `pow1/2_binary64_2886` `sum-log_binary64_2897` `+-commutative_binary64_2736`
1×	`distribute-lft-out_binary64_2757` `rem-sqrt-square_binary64_2819` `pow-prod-down_binary64_2877`

Counts

4 → 49

Calls

8 calls:

10.0ms	(sqrt.f64 (.f64 2 (pow.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re) 1)))
7.0ms	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
4.0ms	(+.f64 (.f64 re re) (.f64 im im))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
0.0ms	(sqrt.f64 (.f64 2 (pow.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re) 1)))

series407.0ms (0.3%)

Counts

4 → 53

Calls

4 calls:

131.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
104.0ms	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
96.0ms	(+.f64 (.f64 re re) (.f64 im im))
76.0ms	(sqrt.f64 (.f64 2 (pow.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re) 1)))

Compiler

Compiled 1464 to 1345 computations (8.1% saved)

simplify77.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5056	1468

localize16.0ms (0%)

Local error

Found 8 expressions with local error:

8.7b	(-.f64 (pow.f64 re 4) (pow.f64 im 4))
3.4b	(-.f64 (.f64 re re) (.f64 im im))
1.6b	(+.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 re 4) (pow.f64 im 4)) (-.f64 (.f64 re re) (.f64 im im)))) re)
0.0b	(sqrt.f64 (.f64 2 (+.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 re 4) (pow.f64 im 4)) (-.f64 (.f64 re re) (*.f64 im im)))) re)))
3.4b	(-.f64 (.f64 re re) (.f64 im im))
8.7b	(-.f64 (pow.f64 re 4) (pow.f64 im 4))
27.9b	(sqrt.f64 (/.f64 (-.f64 (pow.f64 re 4) (pow.f64 im 4)) (-.f64 (.f64 re re) (.f64 im im))))
40.3b	(/.f64 (-.f64 (pow.f64 re 4) (pow.f64 im 4)) (-.f64 (.f64 re re) (.f64 im im)))

rewrite82.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

168×	`add-sqr-sqrt_binary64_2828`
120×	`difference-of-squares_binary64_2775`
113×	`times-frac_binary64_2812`
85×	`*-un-lft-identity_binary64_2806`
83×	`unpow-prod-down_binary64_2885`
62×	`sqrt-prod_binary64_2822`
61×	`sqr-pow_binary64_2778`
45×	`add-cube-cbrt_binary64_2841`
20×	`distribute-lft-out--_binary64_2758`
14×	`associate-/l*_binary64_2751`
8×	`cancel-sign-sub-inv_binary64_2772` `add-log-exp_binary64_2845`
6×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
5×	`flip3--_binary64_2810` `flip--_binary64_2781` `pow1_binary64_2867`
4×	`associate-/r*_binary64_2750` `associate-/r/_binary64_2752`
2×	`associate-/l/_binary64_2753` `div-inv_binary64_2803` `diff-log_binary64_2898` `sub-neg_binary64_2799` `rem-sqrt-square_binary64_2819`
1×	`sqrt-div_binary64_2823` `pow1/2_binary64_2886` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `sqrt-pow1_binary64_2824` `div-sub_binary64_2811` `clear-num_binary64_2805` `frac-2neg_binary64_2817`

Counts

4 → 207

Calls

8 calls:

22.0ms	(sqrt.f64 (/.f64 (-.f64 (pow.f64 re 4) (pow.f64 im 4)) (-.f64 (.f64 re re) (.f64 im im))))
17.0ms	(/.f64 (-.f64 (pow.f64 re 4) (pow.f64 im 4)) (-.f64 (.f64 re re) (.f64 im im)))
9.0ms	(-.f64 (pow.f64 re 4) (pow.f64 im 4))
4.0ms	(-.f64 (.f64 re re) (.f64 im im))
0.0ms	(sqrt.f64 (.f64 2 (+.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 re 4) (pow.f64 im 4)) (-.f64 (.f64 re re) (*.f64 im im)))) re)))

series751.0ms (0.5%)

Counts

4 → 54

Calls

4 calls:

244.0ms	(/.f64 (-.f64 (pow.f64 re 4) (pow.f64 im 4)) (-.f64 (.f64 re re) (.f64 im im)))
220.0ms	(sqrt.f64 (/.f64 (-.f64 (pow.f64 re 4) (pow.f64 im 4)) (-.f64 (.f64 re re) (.f64 im im))))
178.0ms	(-.f64 (pow.f64 re 4) (pow.f64 im 4))
108.0ms	(-.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 1560 to 1344 computations (13.8% saved)

simplify119.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

261 → 261

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5583	6889

prune6.5s (4.4%)

Pruning

275 alts after pruning (269 fresh and 6 done)

	Pruned	Kept	Total
New	321	222	543
Fresh	5	47	52
Picked	0	0	0
Done	0	6	6
Total	326	275	601

Error

2.2b

Counts

601 → 275

Compiler

Compiled 16346 to 9284 computations (43.2% saved)

localize15.0ms (0%)

Local error

Found 8 expressions with local error:

1.0b	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
0.3b	(/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)))
0.2b	(.f64 (fabs.f64 im) (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))))
0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.2b	(.f64 (fabs.f64 im) (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))))
0.3b	(/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)))
1.0b	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
27.9b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite89.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`sqrt-prod_binary64_2822`
143×	`add-sqr-sqrt_binary64_2828`
112×	`times-frac_binary64_2812`
100×	`*-un-lft-identity_binary64_2806`
72×	`add-cube-cbrt_binary64_2841`
60×	`associate-r_binary64_2746`
28×	`difference-of-squares_binary64_2775`
14×	`distribute-lft-out--_binary64_2758`
11×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
9×	`associate-/r*_binary64_2750`
7×	`pow1_binary64_2867`
6×	`sqrt-div_binary64_2823` `add-log-exp_binary64_2845` `associate-/l*_binary64_2751`
5×	`unswap-sqr_binary64_2774`
4×	`associate-/r/_binary64_2752`
3×	`associate-l_binary64_2747` `cancel-sign-sub-inv_binary64_2772` `flip3--_binary64_2810` `flip--_binary64_2781`
2×	`div-inv_binary64_2803` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
1×	`pow1/2_binary64_2886` `-commutative_binary64_2737` `sqrt-pow1_binary64_2824` `diff-log_binary64_2898` `sub-neg_binary64_2799` `rem-sqrt-square_binary64_2819` `flip-+_binary64_2780` `flip3-+_binary64_2809` `clear-num_binary64_2805` `associate-r/_binary64_2748` `sqrt-undiv_binary64_2827` `pow-prod-down_binary64_2877` `frac-2neg_binary64_2817`

Counts

4 → 198

Calls

8 calls:

34.0ms	(.f64 (fabs.f64 im) (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))))
14.0ms	(/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)))
9.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
0.0ms	(+.f64 (.f64 re re) (.f64 im im))

series465.0ms (0.3%)

Counts

4 → 47

Calls

4 calls:

150.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
112.0ms	(.f64 (fabs.f64 im) (/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))))
109.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
93.0ms	(/.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)))

Compiler

Compiled 1633 to 1420 computations (13% saved)

simplify141.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

245 → 245

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4960	6791
1	4960	6791

localize5.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

localize19.0ms (0%)

Local error

Found 8 expressions with local error:

1.3b	(/.f64 (sqrt.f64 (.f64 (.f64 im im) 2)) (sqrt.f64 (/.f64 (.f64 im im) (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))))
0.7b	(+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
0.0b	(.f64 (.f64 im im) 2)
0.0b	(+.f64 (.f64 re re) (.f64 im im))
5.9b	(sqrt.f64 (/.f64 (.f64 im im) (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
19.8b	(/.f64 (.f64 im im) (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
27.4b	(sqrt.f64 (.f64 (.f64 im im) 2))
27.9b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite39.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_2806`
14×	`sqrt-prod_binary64_2822`
12×	`add-sqr-sqrt_binary64_2828` `pow1_binary64_2867`
9×	`add-exp-log_binary64_2844` `times-frac_binary64_2812` `add-cbrt-cube_binary64_2842` `add-cube-cbrt_binary64_2841`
5×	`sqrt-pow1_binary64_2824`
4×	`associate-/r*_binary64_2750` `add-log-exp_binary64_2845` `associate-/r/_binary64_2752`
3×	`sqrt-div_binary64_2823` `pow1/2_binary64_2886` `distribute-lft-out_binary64_2757` `rem-sqrt-square_binary64_2819` `flip-+_binary64_2780` `flip3-+_binary64_2809` `pow-prod-down_binary64_2877`
2×	`div-inv_binary64_2803` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840`
1×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `clear-num_binary64_2805` `associate-/l*_binary64_2751` `frac-2neg_binary64_2817`

Counts

4 → 74

Calls

8 calls:

11.0ms	(/.f64 (.f64 im im) (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
10.0ms	(sqrt.f64 (/.f64 (.f64 im im) (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
5.0ms	(sqrt.f64 (.f64 (.f64 im im) 2))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
0.0ms	(+.f64 (.f64 re re) (.f64 im im))

series389.0ms (0.3%)

Counts

4 → 42

Calls

4 calls:

138.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
112.0ms	(/.f64 (.f64 im im) (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
108.0ms	(sqrt.f64 (/.f64 (.f64 im im) (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
31.0ms	(sqrt.f64 (.f64 (.f64 im im) 2))

Compiler

Compiled 1561 to 1227 computations (21.4% saved)

simplify106.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4928	2060
1	4928	2060

localize19.0ms (0%)

Local error

Found 8 expressions with local error:

8.7b	(-.f64 (pow.f64 re 4) (pow.f64 im 4))
3.4b	(-.f64 (.f64 re re) (.f64 im im))
1.6b	(+.f64 (fabs.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 re 4) (pow.f64 im 4)) (-.f64 (.f64 re re) (.f64 im im))))) re)
0.0b	(sqrt.f64 (.f64 2 (+.f64 (fabs.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 re 4) (pow.f64 im 4)) (-.f64 (.f64 re re) (*.f64 im im))))) re)))
3.4b	(-.f64 (.f64 re re) (.f64 im im))
8.7b	(-.f64 (pow.f64 re 4) (pow.f64 im 4))
27.9b	(sqrt.f64 (/.f64 (-.f64 (pow.f64 re 4) (pow.f64 im 4)) (-.f64 (.f64 re re) (.f64 im im))))
40.3b	(/.f64 (-.f64 (pow.f64 re 4) (pow.f64 im 4)) (-.f64 (.f64 re re) (.f64 im im)))

rewrite89.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

168×	`add-sqr-sqrt_binary64_2828`
120×	`difference-of-squares_binary64_2775`
113×	`times-frac_binary64_2812`
85×	`*-un-lft-identity_binary64_2806`
83×	`unpow-prod-down_binary64_2885`
62×	`sqrt-prod_binary64_2822`
61×	`sqr-pow_binary64_2778`
45×	`add-cube-cbrt_binary64_2841`
20×	`distribute-lft-out--_binary64_2758`
14×	`associate-/l*_binary64_2751`
8×	`cancel-sign-sub-inv_binary64_2772` `add-log-exp_binary64_2845`
6×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
5×	`flip3--_binary64_2810` `flip--_binary64_2781` `pow1_binary64_2867`
4×	`associate-/r*_binary64_2750` `associate-/r/_binary64_2752`
2×	`associate-/l/_binary64_2753` `div-inv_binary64_2803` `diff-log_binary64_2898` `sub-neg_binary64_2799` `rem-sqrt-square_binary64_2819`
1×	`sqrt-div_binary64_2823` `pow1/2_binary64_2886` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `sqrt-pow1_binary64_2824` `div-sub_binary64_2811` `clear-num_binary64_2805` `frac-2neg_binary64_2817`

Counts

4 → 207

Calls

8 calls:

23.0ms	(sqrt.f64 (/.f64 (-.f64 (pow.f64 re 4) (pow.f64 im 4)) (-.f64 (.f64 re re) (.f64 im im))))
18.0ms	(/.f64 (-.f64 (pow.f64 re 4) (pow.f64 im 4)) (-.f64 (.f64 re re) (.f64 im im)))
9.0ms	(-.f64 (pow.f64 re 4) (pow.f64 im 4))
4.0ms	(-.f64 (.f64 re re) (.f64 im im))
0.0ms	(sqrt.f64 (.f64 2 (+.f64 (fabs.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 re 4) (pow.f64 im 4)) (-.f64 (.f64 re re) (*.f64 im im))))) re)))

series722.0ms (0.5%)

Counts

4 → 48

Calls

4 calls:

275.0ms	(/.f64 (-.f64 (pow.f64 re 4) (pow.f64 im 4)) (-.f64 (.f64 re re) (.f64 im im)))
202.0ms	(-.f64 (pow.f64 re 4) (pow.f64 im 4))
131.0ms	(sqrt.f64 (/.f64 (-.f64 (pow.f64 re 4) (pow.f64 im 4)) (-.f64 (.f64 re re) (.f64 im im))))
115.0ms	(-.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 1416 to 1236 computations (12.7% saved)

simplify130.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

255 → 255

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5711	6721

localize20.0ms (0%)

Local error

Found 8 expressions with local error:

0.2b	(/.f64 (fabs.f64 im) (fabs.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
0.1b	(sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)))
0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.0b	(+.f64 (.f64 re re) (.f64 im im))
1.0b	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
1.0b	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
27.9b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
27.9b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite36.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_2828`
12×	`*-un-lft-identity_binary64_2806`
8×	`add-log-exp_binary64_2845` `add-cube-cbrt_binary64_2841` `sqrt-prod_binary64_2822`
6×	`cancel-sign-sub-inv_binary64_2772` `pow1_binary64_2867`
4×	`sqrt-div_binary64_2823` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `difference-of-squares_binary64_2775`
2×	`pow1/2_binary64_2886` `flip3--_binary64_2810` `sqrt-pow1_binary64_2824` `distribute-lft-out--_binary64_2758` `diff-log_binary64_2898` `sub-neg_binary64_2799` `rem-sqrt-square_binary64_2819` `flip-+_binary64_2780` `flip--_binary64_2781` `flip3-+_binary64_2809`

Counts

4 → 64

Calls

8 calls:

9.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
9.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
0.0ms	(+.f64 (.f64 re re) (.f64 im im))

series416.0ms (0.3%)

Counts

4 → 50

Calls

4 calls:

125.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
103.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
99.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
89.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)

Compiler

Compiled 2588 to 2019 computations (22% saved)

simplify83.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5093	1622

prune19.2s (13.1%)

Pruning

514 alts after pruning (504 fresh and 10 done)

	Pruned	Kept	Total
New	462	268	730
Fresh	28	236	264
Picked	0	0	0
Done	1	10	11
Total	491	514	1005

Error

0.3b

Counts

1005 → 514

Compiler

Compiled 29353 to 15759 computations (46.3% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

rewrite6.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`pow1_binary64_2867`
2×	`sqrt-div_binary64_2823` `sqrt-pow1_binary64_2824` `associate-*r/_binary64_2748`
1×	`add-sqr-sqrt_binary64_2828` `pow1/2_binary64_2886` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `*-un-lft-identity_binary64_2806` `flip-+_binary64_2780` `add-log-exp_binary64_2845` `add-cube-cbrt_binary64_2841` `flip3-+_binary64_2809` `sqrt-prod_binary64_2822` `pow-prod-down_binary64_2877`

Counts

1 → 13

Calls

2 calls:

5.0ms	(sqrt.f64 (*.f64 2 (+.f64 (fabs.f64 im) re)))
0.0ms	(sqrt.f64 (*.f64 2 (+.f64 (fabs.f64 im) re)))

series89.0ms (0.1%)

Counts

1 → 7

Calls

1 calls:

88.0ms

(sqrt.f64 (*.f64 2 (+.f64 (fabs.f64 im) re)))

Compiler

Compiled 189 to 181 computations (4.2% saved)

simplify142.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	4827	266
1	4827	266

localize5.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize13.0ms (0%)

Local error

Found 8 expressions with local error:

27.9b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
0.7b	(+.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 1) re)
0.0b	(sqrt.f64 (.f64 2 (pow.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) 1) re) 1)))
0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.0b	(sqrt.f64 (.f64 2 (pow.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) 1) re) 1)))
0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.7b	(+.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 1) re)
27.9b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite39.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-log-exp_binary64_2845`
7×	`*-un-lft-identity_binary64_2806` `pow1_binary64_2867`
6×	`add-sqr-sqrt_binary64_2828`
5×	`add-cube-cbrt_binary64_2841`
4×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `sqrt-prod_binary64_2822`
3×	`sqrt-pow1_binary64_2824` `flip-+_binary64_2780` `flip3-+_binary64_2809`
2×	`sqrt-div_binary64_2823` `pow1/2_binary64_2886` `sum-log_binary64_2897` `+-commutative_binary64_2736`
1×	`distribute-lft-out_binary64_2757` `rem-sqrt-square_binary64_2819` `pow-prod-down_binary64_2877`

Counts

4 → 49

Calls

8 calls:

13.0ms	(+.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 1) re)
12.0ms	(sqrt.f64 (.f64 2 (pow.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) 1) re) 1)))
5.0ms	(+.f64 (.f64 re re) (.f64 im im))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
0.0ms	(+.f64 (.f64 re re) (.f64 im im))

series404.0ms (0.3%)

Counts

4 → 53

Calls

4 calls:

131.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
107.0ms	(+.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 1) re)
90.0ms	(+.f64 (.f64 re re) (.f64 im im))
75.0ms	(sqrt.f64 (.f64 2 (pow.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) 1) re) 1)))

Compiler

Compiled 1548 to 1429 computations (7.7% saved)

simplify79.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4958	1468
1	4958	1468

localize23.0ms (0%)

Local error

Found 8 expressions with local error:

3.4b	(-.f64 (.f64 re re) (.f64 im im))
0.3b	(.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 re re) (.f64 im im)) (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))))) (sqrt.f64 (/.f64 (-.f64 (.f64 re re) (.f64 im im)) (sqrt.f64 (-.f64 (.f64 re re) (*.f64 im im))))))
0.0b	(sqrt.f64 (.f64 2 (+.f64 (fabs.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 re re) (.f64 im im)) (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))))) (sqrt.f64 (/.f64 (-.f64 (.f64 re re) (.f64 im im)) (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))))))) re)))
0.0b	(+.f64 (.f64 re re) (.f64 im im))
15.7b	(/.f64 (+.f64 (.f64 re re) (.f64 im im)) (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))))
15.7b	(/.f64 (-.f64 (.f64 re re) (.f64 im im)) (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))))
16.4b	(sqrt.f64 (-.f64 (.f64 re re) (.f64 im im)))
16.4b	(sqrt.f64 (-.f64 (.f64 re re) (.f64 im im)))

rewrite55.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`times-frac_binary64_2812`
44×	`sqrt-prod_binary64_2822`
42×	`add-sqr-sqrt_binary64_2828`
40×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
19×	`difference-of-squares_binary64_2775`
14×	`associate-/r*_binary64_2750`
9×	`pow1_binary64_2867`
8×	`sqrt-div_binary64_2823` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
7×	`associate-/l*_binary64_2751`
5×	`flip3--_binary64_2810` `flip--_binary64_2781`
4×	`associate-/l/_binary64_2753` `add-log-exp_binary64_2845` `associate-/r/_binary64_2752`
3×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824`
2×	`div-inv_binary64_2803` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `pow-div_binary64_2881` `rem-sqrt-square_binary64_2819` `clear-num_binary64_2805` `frac-2neg_binary64_2817`
1×	`div-sub_binary64_2811` `flip-+_binary64_2780` `flip3-+_binary64_2809`

Counts

4 → 137

Calls

8 calls:

12.0ms	(/.f64 (-.f64 (.f64 re re) (.f64 im im)) (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))))
11.0ms	(/.f64 (+.f64 (.f64 re re) (.f64 im im)) (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))))
5.0ms	(sqrt.f64 (-.f64 (.f64 re re) (.f64 im im)))
5.0ms	(sqrt.f64 (-.f64 (.f64 re re) (.f64 im im)))
0.0ms	(+.f64 (.f64 re re) (.f64 im im))

series292.0ms (0.2%)

Counts

4 → 30

Calls

4 calls:

91.0ms	(/.f64 (+.f64 (.f64 re re) (.f64 im im)) (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))))
73.0ms	(sqrt.f64 (-.f64 (.f64 re re) (.f64 im im)))
65.0ms	(sqrt.f64 (-.f64 (.f64 re re) (.f64 im im)))
62.0ms	(/.f64 (-.f64 (.f64 re re) (.f64 im im)) (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))))

Compiler

Compiled 2245 to 1415 computations (37% saved)

simplify118.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4949	4279
1	4949	4279

localize26.0ms (0%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 (fabs.f64 im) (/.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))))))
0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.0b	(+.f64 (.f64 re re) (.f64 im im))
1.0b	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
27.9b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
27.9b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
27.9b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite31.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_2828`
10×	`*-un-lft-identity_binary64_2806` `sqrt-prod_binary64_2822`
8×	`add-cube-cbrt_binary64_2841`
7×	`pow1_binary64_2867`
6×	`sqrt-div_binary64_2823` `add-log-exp_binary64_2845`
4×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
3×	`pow1/2_binary64_2886` `cancel-sign-sub-inv_binary64_2772` `sqrt-pow1_binary64_2824` `rem-sqrt-square_binary64_2819` `flip-+_binary64_2780` `flip3-+_binary64_2809`
2×	`difference-of-squares_binary64_2775`
1×	`flip3--_binary64_2810` `distribute-lft-out--_binary64_2758` `diff-log_binary64_2898` `sub-neg_binary64_2799` `flip--_binary64_2781`

Counts

4 → 62

Calls

8 calls:

9.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
0.0ms	(+.f64 (.f64 re re) (.f64 im im))

series398.0ms (0.3%)

Counts

4 → 51

Calls

4 calls:

103.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
99.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
99.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
97.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)

Compiler

Compiled 3508 to 2082 computations (40.6% saved)

simplify72.0ms (0%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4935	1563
1	4935	1563

prune20.7s (14.1%)

Pruning

614 alts after pruning (599 fresh and 15 done)

	Pruned	Kept	Total
New	285	117	402
Fresh	17	482	499
Picked	0	0	0
Done	0	15	15
Total	302	614	916

Error

0.3b

Counts

916 → 614

Compiler

Compiled 11952 to 3529 computations (70.5% saved)

simplify880.0ms (0.6%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	5538	53543

regimes41.8s (28.5%)

Compiler: Compiled 250375 to 153518 computations (38.7% saved)

bsearch176.0ms (0.1%)

Steps

Iters	Range		Point
7	9.409839022067151e+126	7.145493826310773e+128	9.542964692004831e+126
8	1.7847328287878822e+43	1.8763892015576747e+46	1.809200894956933e+46
8	7.492269835907532e-144	6.490549568205344e-141	3.214172448806604e-141
4	-1.805524294908496e-77	-1.0075452031916925e-77	-1.4106756593205677e-77
9	-3.822074444687097e+126	-2.2698178158573347e+121	-1.199222094282219e+126

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes14.0s (9.5%)

Compiler: Compiled 94293 to 68119 computations (27.8% saved)

bsearch131.0ms (0.1%)

Steps

Iters	Range		Point
7	9.409839022067151e+126	7.145493826310773e+128	1.0075467371755552e+127
8	1.7847328287878822e+43	1.8763892015576747e+46	5.717442834118705e+44
8	7.492269835907532e-144	6.490549568205344e-141	3.162926000560335e-143
4	-1.805524294908496e-77	-1.0075452031916925e-77	-1.1261129844060676e-77
8	-9.116954508813023e+136	-7.489268208684576e+133	-1.3496433026116003e+136

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.9s (2%)

Compiler: Compiled 14777 to 12567 computations (15% saved)

bsearch95.0ms (0.1%)

Steps

Iters	Range		Point
7	9.409839022067151e+126	7.145493826310773e+128	9.542964692004831e+126
8	1.7847328287878822e+43	1.8763892015576747e+46	8.629321367885434e+43
8	7.492269835907532e-144	6.490549568205344e-141	1.7845848739333778e-143
9	-2.0071041085091173e-16	-5.662454596910081e-23	-2.0806375032771606e-21

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.1s (1.4%)

Compiler: Compiled 11715 to 9884 computations (15.6% saved)

bsearch100.0ms (0.1%)

Steps

Iters	Range		Point
7	9.409839022067151e+126	7.145493826310773e+128	8.269551164031008e+127
8	1.7847328287878822e+43	1.8763892015576747e+46	1.1017477864781767e+45
8	7.492269835907532e-144	6.490549568205344e-141	4.416560081930134e-141
9	-2.698960573241275e+105	-1.1172670420446264e+100	-1.132560508771453e+100

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes1.1s (0.8%)

Compiler: Compiled 5112 to 4741 computations (7.3% saved)

bsearch96.0ms (0.1%)

Steps

Iters	Range		Point
7	9.409839022067151e+126	7.145493826310773e+128	8.269551164031008e+127
8	1.7847328287878822e+43	1.8763892015576747e+46	1.8539930993574273e+46
8	7.492269835907532e-144	6.490549568205344e-141	7.705216962722596e-143
9	-2.698960573241275e+105	-1.1172670420446264e+100	-1.2549082425860653e+100

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes509.0ms (0.3%)

Compiler: Compiled 1816 to 1747 computations (3.8% saved)

bsearch88.0ms (0.1%)

Steps

Iters	Range		Point
7	9.409839022067151e+126	7.145493826310773e+128	1.0075467371755552e+127
8	1.7847328287878822e+43	1.8763892015576747e+46	5.4168310351630246e+45
6	6.039120030047305e-83	4.773962690188665e-82	4.7126399157857446e-82
9	-2.698960573241275e+105	-1.1172670420446264e+100	-5.574209862081529e+102

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes377.0ms (0.3%)

Compiler: Compiled 1477 to 1450 computations (1.8% saved)

bsearch88.0ms (0.1%)

Steps

Iters	Range		Point
7	9.409839022067151e+126	7.145493826310773e+128	1.6775231267361767e+127
8	1.7847328287878822e+43	1.8763892015576747e+46	5.5288115461642606e+45
6	6.039120030047305e-83	4.773962690188665e-82	2.750311134892316e-82
9	-2.698960573241275e+105	-1.1172670420446264e+100	-1.4408258177403338e+102

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes254.0ms (0.2%)

Compiler: Compiled 757 to 740 computations (2.2% saved)

bsearch61.0ms (0%)

Steps

Iters	Range		Point
9	1.9316150259742868e-102	2.91999240593199e-96	3.0364793013828164e-99
9	-1.3075417650109616e-126	-2.1481748058175815e-132	-3.7840109269703677e-128

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes187.0ms (0.1%)

Compiler: Compiled 403 to 427 computations (-6% saved)

bsearch61.0ms (0%)

Steps

Iters	Range		Point
9	1.9316150259742868e-102	2.91999240593199e-96	1.7012003094525194e-99
9	-1.3075417650109616e-126	-2.1481748058175815e-132	-9.925624596920426e-132

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes82.0ms (0.1%)

Compiler: Compiled 124 to 146 computations (-17.7% saved)

bsearch62.0ms (0%)

Steps

Iters	Range		Point
9	1.9316150259742868e-102	2.91999240593199e-96	2.743907599676933e-99
9	-1.3075417650109616e-126	-2.1481748058175815e-132	-1.7840492392198191e-127

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes69.0ms (0%)

Compiler: Compiled 76 to 96 computations (-26.3% saved)

bsearch56.0ms (0%)

Steps

Iters	Range		Point
9	1.9316150259742868e-102	2.91999240593199e-96	3.510349781693256e-97
9	-1.3075417650109616e-126	-2.1481748058175815e-132	-3.1071524292899965e-130

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes35.0ms (0%)

Compiler: Compiled 32 to 48 computations (-50% saved)

bsearch47.0ms (0%)

Steps

Iters	Range		Point
7	2.7942563421240027e-183	3.922096706769047e-181	5.7862847256276915e-182
7	-4.319655388271362e+98	-7.619745443372209e+96	-1.391174801252767e+98

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes32.0ms (0%)

Compiler: Compiled 20 to 34 computations (-70% saved)

bsearch58.0ms (0%)

Steps

Iters	Range		Point
9	7.198547004112853e-195	6.722362405831522e-186	1.5437260940449797e-194
8	-1.0868818538052804e-223	-1.8829948556590382e-228	-2.3356729153207394e-227

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes22.0ms (0%)

Accuracy

Total 12.8b remaining (97.5%)

Threshold costs 0b (0%)

Compiler

Compiled 8 to 20 computations (-150% saved)

bsearch52.0ms (0%)

Steps

Iters	Range		Point
5	-1.4137692818231442e+121	-3.774754073376702e+120	-4.467215323160996e+120

Compiler

Compiled 707 to 541 computations (23.5% saved)

simplify15.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	287	1029
1	287	1029

end0.0ms (0%)

sample26.6s (18.1%)

Algorithm

1×

intervals

Results

304.0ms	6069×	body	128	valid
163.0ms	540×	body	4096	valid
149.0ms	633×	body	2048	valid
73.0ms	395×	body	1024	valid
33.0ms	240×	body	512	valid
11.0ms	123×	body	256	valid

Compiler

Compiled 35348 to 21971 computations (37.8% saved)

Pareto

0.7238556725912614