Details

analyze649.0ms (9.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4936	36
1	4936	36
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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample85.0ms (1.2%)

Algorithm

1×

intervals

Results

22.0ms	60×	body	1024	valid
16.0ms	65×	body	1024	invalid
9.0ms	142×	body	128	valid
7.0ms	36×	body	512	valid
6.0ms	33×	body	512	invalid
3.0ms	22×	body	256	invalid
2.0ms	18×	body	256	valid
2.0ms	31×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify155.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (149.0ms)

Iter	Nodes	Cost
0	5290	18

prune3.0ms (0%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite46.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `*-un-lft-identity_binary64_1783`
4×	`add-log-exp_binary64_1822` `associate-r_binary64_1723`
3×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `add-cube-cbrt_binary64_1818` `cbrt-unprod_binary64_1816` `add-sqr-sqrt_binary64_1805`
2×	`flip3-+_binary64_1786` `associate-*r/_binary64_1725` `flip-+_binary64_1757` `distribute-lft-out_binary64_1734`
1×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-l_binary64_1724` `*-commutative_binary64_1714` `sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

2 → 35

Calls

2 calls:

10.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 692 to 227 computations (67.2% saved)

series423.0ms (6.1%)

Error

0.0b

Counts

2 → 18

Calls

2 calls:

374.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
24.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 740 to 530 computations (28.4% saved)

simplify129.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4922	964
1	4922	964

prune67.0ms (1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	1	54

Error

0.0b

Counts

54 → 1

Compiler

Compiled 847 to 332 computations (60.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (exp.f64 im) (.f64 1/2 (cos.f64 re)))
0.0b	(+.f64 (.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re)) (.f64 (exp.f64 im) (*.f64 1/2 (cos.f64 re))))
0.0b	(*.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re))
0.0b	(/.f64 1/2 (exp.f64 im))

rewrite155.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`add-sqr-sqrt_binary64_1805`
21×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
19×	`times-frac_binary64_1789`
16×	`add-cbrt-cube_binary64_1819` `associate-l_binary64_1724`
12×	`add-exp-log_binary64_1821`
11×	`pow1_binary64_1844`
6×	`add-log-exp_binary64_1822`
5×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
4×	`pow-prod-down_binary64_1854` `associate-r_binary64_1723`
3×	`associate-/l_binary64_1728` `associate-/r_binary64_1727`
2×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `div-inv_binary64_1780` `unswap-sqr_binary64_1751` `*-commutative_binary64_1714`
1×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-*l/_binary64_1726` `sum-log_binary64_1874` `flip3-+_binary64_1786` `flip-+_binary64_1757` `+-commutative_binary64_1713`

Counts

4 → 88

Calls

4 calls:

16.0ms	(+.f64 (.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re)) (.f64 (exp.f64 im) (*.f64 1/2 (cos.f64 re))))
12.0ms	(.f64 (exp.f64 im) (.f64 1/2 (cos.f64 re)))
8.0ms	(*.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re))
4.0ms	(/.f64 1/2 (exp.f64 im))

Compiler

Compiled 2033 to 1037 computations (49% saved)

series658.0ms (9.5%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

275.0ms	(+.f64 (.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re)) (.f64 (exp.f64 im) (*.f64 1/2 (cos.f64 re))))
179.0ms	(*.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re))
126.0ms	(.f64 (exp.f64 im) (.f64 1/2 (cos.f64 re)))
37.0ms	(/.f64 1/2 (exp.f64 im))

Compiler

Compiled 2018 to 1331 computations (34% saved)

simplify95.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5023	2120

prune168.0ms (2.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	129	2	131

Error

Counts

131 → 2

Compiler

Compiled 2625 to 1311 computations (50.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (cbrt.f64 (pow.f64 (/.f64 1/2 (exp.f64 im)) 3)) (cos.f64 re))
0.0b	(/.f64 1/2 (exp.f64 im))
0.0b	(pow.f64 (/.f64 1/2 (exp.f64 im)) 3)
1.0b	(cbrt.f64 (pow.f64 (/.f64 1/2 (exp.f64 im)) 3))

rewrite354.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

74×	`add-sqr-sqrt_binary64_1805`
70×	`cbrt-prod_binary64_1814`
65×	`times-frac_binary64_1789`
59×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
41×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
35×	`associate-l_binary64_1724`
10×	`add-cbrt-cube_binary64_1819`
9×	`add-exp-log_binary64_1821`
7×	`pow1_binary64_1844` `div-inv_binary64_1780` `unswap-sqr_binary64_1751`
4×	`add-log-exp_binary64_1822` `sqr-pow_binary64_1755`
3×	`cube-div_binary64_1812` `unpow3_binary64_1849` `cube-mult_binary64_1813` `pow-unpow_binary64_1860` `associate-/l_binary64_1728` `associate-/r_binary64_1727` `associate-r_binary64_1723`
2×	`cbrt-div_binary64_1815` `div-exp_binary64_1834` `pow-exp_binary64_1851` `rem-cube-cbrt_binary64_1806` `cbrt-undiv_binary64_1817`
1×	`pow1/3_binary64_1865` `rem-cbrt-cube_binary64_1807` `pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-l/_binary64_1726` `-commutative_binary64_1714`

Counts

4 → 172

Calls

4 calls:

31.0ms	(*.f64 (cbrt.f64 (pow.f64 (/.f64 1/2 (exp.f64 im)) 3)) (cos.f64 re))
9.0ms	(pow.f64 (/.f64 1/2 (exp.f64 im)) 3)
7.0ms	(/.f64 1/2 (exp.f64 im))
6.0ms	(cbrt.f64 (pow.f64 (/.f64 1/2 (exp.f64 im)) 3))

Compiler

Compiled 4675 to 2837 computations (39.3% saved)

series346.0ms (5%)

Error

Counts

4 → 30

Calls

4 calls:

168.0ms	(*.f64 (cbrt.f64 (pow.f64 (/.f64 1/2 (exp.f64 im)) 3)) (cos.f64 re))
64.0ms	(pow.f64 (/.f64 1/2 (exp.f64 im)) 3)
46.0ms	(cbrt.f64 (pow.f64 (/.f64 1/2 (exp.f64 im)) 3))
32.0ms	(/.f64 1/2 (exp.f64 im))

Compiler

Compiled 1394 to 965 computations (30.8% saved)

simplify110.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5158	2717

prune299.0ms (4.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	202	2	204

Error

Counts

204 → 2

Compiler

Compiled 4541 to 2586 computations (43.1% saved)

regimes178.0ms (2.6%)

Accuracy

Total 0.0b remaining (78%)

Threshold costs 0.0b (78%)

Compiler

Compiled 1132 to 923 computations (18.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	24
1	15	24

end0.0ms (0%)

sample2.9s (42.7%)

Algorithm

1×

intervals

Results

824.0ms	2010×	body	1024	valid
523.0ms	1859×	body	1024	invalid
291.0ms	4495×	body	128	valid
213.0ms	1015×	body	512	valid
190.0ms	972×	body	512	invalid
63.0ms	490×	body	256	invalid
62.0ms	476×	body	256	valid
51.0ms	710×	body	128	invalid
3.0ms	4×	body	2048	valid

Compiler

Compiled 197 to 158 computations (19.8% saved)

Details

analyze649.0ms (9.4%)

sample85.0ms (1.2%)

simplify155.0ms (2.2%)

prune3.0ms (0%)

localize14.0ms (0.2%)

rewrite46.0ms (0.7%)

series423.0ms (6.1%)

simplify129.0ms (1.9%)

prune67.0ms (1%)

localize9.0ms (0.1%)

rewrite155.0ms (2.2%)

series658.0ms (9.5%)

simplify95.0ms (1.4%)

prune168.0ms (2.4%)

localize12.0ms (0.2%)

rewrite354.0ms (5.1%)

series346.0ms (5%)

simplify110.0ms (1.6%)

prune299.0ms (4.3%)

regimes178.0ms (2.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.9s (42.7%)

Profiling