Details

analyze316.0ms (4.1%)

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)

sample33.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	189×	body	128	valid
6.0ms	20×	body	4096	valid
4.0ms	18×	body	2048	valid
3.0ms	16×	body	1024	valid
1.0ms	9×	body	512	valid
0.0ms	4×	body	256	valid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify97.0ms (1.3%)

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

37.1b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize15.0ms (0.2%)

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))
0.0b	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
28.5b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite89.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

36.9b

Rules

8×	`pow1_binary64_3549` `add-log-exp_binary64_3527`
7×	`*-un-lft-identity_binary64_3488`
6×	`add-sqr-sqrt_binary64_3510`
5×	`add-cube-cbrt_binary64_3523`
4×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `flip3-+_binary64_3491` `sqrt-div_binary64_3505` `flip-+_binary64_3462` `sqrt-prod_binary64_3504`
3×	`sqrt-pow1_binary64_3506`
2×	`pow1/2_binary64_3568` `sum-log_binary64_3579` `+-commutative_binary64_3418` `associate-*r/_binary64_3430`
1×	`rem-sqrt-square_binary64_3501` `distribute-lft-out_binary64_3439` `pow-prod-down_binary64_3559`

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)

series492.0ms (6.4%)

Error

8.3b

Counts

4 → 57

Calls

4 calls:

127.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
110.0ms	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
102.0ms	(sqrt.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
95.0ms	(+.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 2316 to 2002 computations (13.6% saved)

simplify77.0ms (1%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4982	1674
1	4982	1674

prune112.0ms (1.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	100	8	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	8	109

Error

8.2b

Counts

109 → 8

Compiler

Compiled 2040 to 1062 computations (47.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
0.4b	(.f64 (sqrt.f64 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (sqrt.f64 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
28.5b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
28.5b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite170.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

8.2b

Rules

32×	`sqrt-prod_binary64_3504`
30×	`add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
21×	`pow1_binary64_3549`
16×	`sqrt-div_binary64_3505`
14×	`add-cube-cbrt_binary64_3523`
11×	`swap-sqr_binary64_3455`
10×	`pow1/2_binary64_3568` `sqrt-pow1_binary64_3506`
9×	`flip3-+_binary64_3491` `flip-+_binary64_3462`
7×	`distribute-lft-out_binary64_3439` `associate-l_binary64_3429` `associate-r_binary64_3428`
6×	`add-log-exp_binary64_3527` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
5×	`pow-prod-up_binary64_3558`
4×	`rem-sqrt-square_binary64_3501` `frac-times_binary64_3498` `unswap-sqr_binary64_3456`
3×	`pow-prod-down_binary64_3559` `pow-sqr_binary64_3461`
2×	`associate-l/_binary64_3431` `associate-r/_binary64_3430`
1×	`pow2_binary64_3569` `pow-plus_binary64_3551` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `sqrt-unprod_binary64_3508` `sqr-abs_binary64_3503` `rem-square-sqrt_binary64_3500` `*-commutative_binary64_3419` `sum-log_binary64_3579` `+-commutative_binary64_3418`

Counts

4 → 105

Calls

4 calls:

20.0ms	(.f64 (sqrt.f64 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (sqrt.f64 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
6.0ms	(+.f64 re (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)))

Compiler

Compiled 4361 to 935 computations (78.6% saved)

series569.0ms (7.5%)

Error

8.2b

Counts

4 → 72

Calls

4 calls:

140.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
137.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
110.0ms	(+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
105.0ms	(.f64 (sqrt.f64 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (sqrt.f64 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))))

Compiler

Compiled 4556 to 3125 computations (31.4% saved)

simplify125.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4939	3088
1	4939	3088

prune196.0ms (2.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	176	1	177
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	177	8	185

Error

8.2b

Counts

185 → 8

Compiler

Compiled 5088 to 1806 computations (64.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
0.3b	(pow.f64 (sqrt.f64 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) 4)
20.5b	(sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) 4))
28.5b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite125.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

8.2b

Rules

23×	`sqrt-prod_binary64_3504`
17×	`*-un-lft-identity_binary64_3488`
16×	`unpow-prod-down_binary64_3567`
15×	`add-sqr-sqrt_binary64_3510`
11×	`add-cube-cbrt_binary64_3523`
7×	`pow1_binary64_3549`
6×	`add-log-exp_binary64_3527`
5×	`add-exp-log_binary64_3526` `rem-sqrt-square_binary64_3501`
4×	`add-cbrt-cube_binary64_3524`
3×	`pow1/2_binary64_3568` `sqrt-pow1_binary64_3506` `distribute-lft-out_binary64_3439` `sqr-pow_binary64_3460` `pow-unpow_binary64_3565` `pow-pow_binary64_3560`
2×	`flip3-+_binary64_3491` `sqrt-div_binary64_3505` `flip-+_binary64_3462`
1×	`pow-to-exp_binary64_3557` `pow-exp_binary64_3556` `sqrt-pow2_binary64_3507` `sum-log_binary64_3579` `+-commutative_binary64_3418`

Counts

4 → 75

Calls

4 calls:

8.0ms	(sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) 4))
8.0ms	(pow.f64 (sqrt.f64 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) 4)
6.0ms	(+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 2208 to 922 computations (58.2% saved)

series516.0ms (6.8%)

Error

8.2b

Counts

4 → 65

Calls

4 calls:

124.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
112.0ms	(sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) 4))
111.0ms	(+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
98.0ms	(pow.f64 (sqrt.f64 (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) 4)

Compiler

Compiled 2953 to 2576 computations (12.8% saved)

simplify100.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4932	2353
1	4932	2353

prune151.0ms (2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	140	8	148

Error

8.2b

Counts

148 → 8

Compiler

Compiled 3033 to 1644 computations (45.8% saved)

localize12.0ms (0.2%)

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)))
0.9b	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
28.4b	(sqrt.f64 (.f64 2 (.f64 im im)))
28.5b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite171.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

8.2b

Rules

51×	`add-sqr-sqrt_binary64_3510`
50×	`sqrt-prod_binary64_3504`
38×	`*-un-lft-identity_binary64_3488`
36×	`times-frac_binary64_3494`
26×	`add-cube-cbrt_binary64_3523`
12×	`difference-of-squares_binary64_3457`
11×	`pow1_binary64_3549`
9×	`associate-/r*_binary64_3432`
6×	`add-log-exp_binary64_3527` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `distribute-lft-out--_binary64_3440`
4×	`sqrt-pow1_binary64_3506` `sqrt-div_binary64_3505` `associate-/l*_binary64_3433`
3×	`pow-prod-down_binary64_3559` `cancel-sign-sub-inv_binary64_3454`
2×	`pow1/2_binary64_3568` `flip3--_binary64_3492` `flip--_binary64_3463` `associate-/r/_binary64_3434`
1×	`flip3-+_binary64_3491` `flip-+_binary64_3462` `rem-sqrt-square_binary64_3501` `diff-log_binary64_3580` `sub-neg_binary64_3481` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `sqrt-undiv_binary64_3509` `frac-2neg_binary64_3499` `clear-num_binary64_3487` `div-inv_binary64_3485`

Counts

4 → 108

Calls

4 calls:

15.0ms	(/.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)

series445.0ms (5.8%)

Error

2.9b

Counts

4 → 47

Calls

4 calls:

131.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
121.0ms	(/.f64 (sqrt.f64 (.f64 2 (.f64 im im))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)))
111.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
33.0ms	(sqrt.f64 (.f64 2 (.f64 im im)))

Compiler

Compiled 2453 to 1930 computations (21.3% saved)

simplify120.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4948	4153
1	4948	4153

prune171.0ms (2.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	149	6	155
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	150	13	163

Error

2.9b

Counts

163 → 13

Compiler

Compiled 4210 to 1625 computations (61.4% saved)

regimes1.3s (17.1%)

Accuracy

Total 16.4b remaining (87.4%)

Threshold costs 0b (0%)

Compiler

Compiled 10344 to 7141 computations (31% saved)

bsearch102.0ms (1.3%)

Steps

Iters	Range	Point
7	2.4585137560611084e+132	2.684544115219668e+134	1.700198478212555e+134
10	6.70546621515697e-302	2.9334902537582665e-285	7.1702286480625436e-301
10	-7.674637818562968e+158	-1.996286527603758e+143	-1.3575803483129278e+154

Iters

Range

Point

2.4585137560611084e+132

2.684544115219668e+134

1.700198478212555e+134

6.70546621515697e-302

2.9334902537582665e-285

7.1702286480625436e-301

-7.674637818562968e+158

-1.996286527603758e+143

-1.3575803483129278e+154

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	69	128
1	69	128

end0.0ms (0%)

sample2.1s (27.4%)

Algorithm

1×

intervals

Results

280.0ms	6042×	body	128	valid
159.0ms	545×	body	4096	valid
152.0ms	643×	body	2048	valid
82.0ms	439×	body	1024	valid
31.0ms	217×	body	512	valid
10.0ms	114×	body	256	valid

Compiler

Compiled 1441 to 986 computations (31.6% saved)

Details

analyze316.0ms (4.1%)

sample33.0ms (0.4%)

simplify97.0ms (1.3%)

prune3.0ms (0%)

localize15.0ms (0.2%)

rewrite89.0ms (1.2%)

series492.0ms (6.4%)

simplify77.0ms (1%)

prune112.0ms (1.5%)

localize12.0ms (0.2%)

rewrite170.0ms (2.2%)

series569.0ms (7.5%)

simplify125.0ms (1.6%)

prune196.0ms (2.6%)

localize13.0ms (0.2%)

rewrite125.0ms (1.6%)

series516.0ms (6.8%)

simplify100.0ms (1.3%)

prune151.0ms (2%)

localize12.0ms (0.2%)

rewrite171.0ms (2.2%)

series445.0ms (5.8%)

simplify120.0ms (1.6%)

prune171.0ms (2.2%)

regimes1.3s (17.1%)

bsearch102.0ms (1.3%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.1s (27.4%)

Profiling