Details

analyze96.0ms (4.4%)

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
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample17.0ms (0.8%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify89.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	12
1	8	12

prune3.0ms (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

Merged error: 33.1b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

31.0b

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

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-sqr-sqrt_binary64_1805` `sqrt-prod_binary64_1799`
2×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `sqrt-div_binary64_1800` `pow1_binary64_1844`
1×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `flip-+_binary64_1757` `pow1/2_binary64_1863` `flip3-+_binary64_1786` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `add-log-exp_binary64_1822`

Counts

1 → 15

Calls

1 calls:

4.0ms

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

series25.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify83.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4864	250
1	4864	250

prune22.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	13	5	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	6	19

Merged error: 9.0b

Counts

19 → 6

Compiler

Compiled 272 to 82 computations (69.9% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
0.5b	(.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
31.0b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
31.0b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite44.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

86×	`sqrt-prod_binary64_1799`
62×	`add-sqr-sqrt_binary64_1805`
38×	`sqrt-pow1_binary64_1801`
32×	`sqrt-div_binary64_1800`
31×	`pow1_binary64_1844`
20×	`add-cube-cbrt_binary64_1818` `pow1/2_binary64_1863` `*-un-lft-identity_binary64_1783`
15×	`swap-sqr_binary64_1750`
12×	`rem-sqrt-square_binary64_1796`
9×	`flip-+_binary64_1757` `pow-prod-up_binary64_1853` `associate-l_binary64_1724` `flip3-+_binary64_1786` `unswap-sqr_binary64_1751` `associate-r_binary64_1723`
6×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
5×	`pow-sqr_binary64_1756` `pow-prod-down_binary64_1854`
4×	`frac-times_binary64_1793` `sqr-abs_binary64_1798` `add-log-exp_binary64_1822`
2×	`associate-r/_binary64_1725` `associate-l/_binary64_1726`
1×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `sqrt-unprod_binary64_1803` `pow-plus_binary64_1846` `*-commutative_binary64_1714` `rem-square-sqrt_binary64_1795` `pow2_binary64_1864`

Counts

4 → 138

Calls

4 calls:

17.0ms	(.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
5.0ms	(sqrt.f64 (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)))

series138.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

59.0ms	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
28.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
28.0ms	(.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
23.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify115.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4878	2359
1	4878	2359

prune102.0ms (4.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	150	6	156

Merged error: 9.0b

Counts

156 → 6

Compiler

Compiled 3019 to 492 computations (83.7% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
31.0b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
31.0b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
31.0b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite22.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1805` `sqrt-prod_binary64_1799`
9×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
8×	`sqrt-div_binary64_1800`
7×	`pow1_binary64_1844`
6×	`cbrt-prod_binary64_1814`
4×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `flip-+_binary64_1757` `flip3-+_binary64_1786` `add-log-exp_binary64_1822`
3×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`
2×	`cbrt-div_binary64_1815`
1×	`pow1/3_binary64_1865`

Counts

4 → 61

Calls

4 calls:

4.0ms	(cbrt.f64 (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)))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series137.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

69.0ms	(cbrt.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
24.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
23.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
22.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify96.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4902	1087
1	4902	1087

prune73.0ms (3.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	3	3
Picked	1	0	1
Done	1	1	2
Total	73	6	79

Merged error: 9.0b

Counts

79 → 6

Compiler

Compiled 2521 to 362 computations (85.6% saved)

localize15.0ms (0.7%)

Local error

Found 4 expressions with local error:

31.0b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
31.0b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
31.0b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
31.0b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite25.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1805` `sqrt-prod_binary64_1799`
8×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `sqrt-div_binary64_1800` `pow1_binary64_1844`
4×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `flip-+_binary64_1757` `pow1/2_binary64_1863` `flip3-+_binary64_1786` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `add-log-exp_binary64_1822`

Counts

4 → 60

Calls

4 calls:

4.0ms	(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)))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series92.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
24.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
22.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
21.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify89.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4864	1000
1	4864	1000

prune91.0ms (4.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	72	6	78

Merged error: 9.0b

Counts

78 → 6

Compiler

Compiled 4048 to 407 computations (89.9% saved)

regimes212.0ms (9.8%)

Compiler: Compiled 1606 to 675 computations (58% saved)

bsearch23.0ms (1%)

Steps

Iters	Range		Point
6	3.1430495481716196e+133	3.6061430143716724e+134	1.663718560484608e+134
8	-1.7913768496410158e+127	-1.8880148943079814e+124	-3.536478145099207e+125

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	28
1	23	28

end0.0ms (0%)

sample536.0ms (24.6%)

Algorithm

1×

intervals

Results

251.0ms

8000×

body

128

valid

Compiler

Compiled 181 to 84 computations (53.6% saved)

Details

analyze96.0ms (4.4%)

sample17.0ms (0.8%)

simplify89.0ms (4.1%)

prune3.0ms (0.1%)

localize6.0ms (0.3%)

rewrite5.0ms (0.3%)

series25.0ms (1.1%)

simplify83.0ms (3.8%)

prune22.0ms (1%)

localize8.0ms (0.4%)

rewrite44.0ms (2%)

series138.0ms (6.3%)

simplify115.0ms (5.3%)

prune102.0ms (4.7%)

localize9.0ms (0.4%)

rewrite22.0ms (1%)

series137.0ms (6.3%)

simplify96.0ms (4.4%)

prune73.0ms (3.3%)

localize15.0ms (0.7%)

rewrite25.0ms (1.1%)

series92.0ms (4.2%)

simplify89.0ms (4.1%)

prune91.0ms (4.2%)

regimes212.0ms (9.8%)

bsearch23.0ms (1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample536.0ms (24.6%)

Profiling