Details

analyze565.0ms (12.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
25%	74.9%	0.2%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample17.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	38×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify168.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	160	14
1	160	14

prune2.0ms (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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_1798`
1×	`flip3--_binary64_1766` `diff-log_binary64_1851` `flip--_binary64_1737` `add-sqr-sqrt_binary64_1783` `sub-neg_binary64_1755` `*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794` `add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797` `pow1_binary64_1820`

Counts

1 → 11

Calls

1 calls:

6.0ms

(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))

series89.0ms (2%)

Counts

1 → 3

Calls

1 calls:

88.0ms

(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))

simplify66.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	6201	286

prune14.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.0b

Counts

15 → 4

Compiler

Compiled 232 to 75 computations (67.7% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
0.3b	(.f64 (sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) (sqrt.f64 (-.f64 (.f64 x.re y.re) (*.f64 x.im y.im))))
1.0b	(sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
1.0b	(sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

rewrite36.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_1783`
24×	`sqrt-prod_binary64_1777`
21×	`pow1_binary64_1820`
16×	`sqrt-div_binary64_1778`
14×	`*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794`
10×	`sqrt-pow1_binary64_1779` `pow1/2_binary64_1839`
9×	`flip3--_binary64_1766` `flip--_binary64_1737`
8×	`swap-sqr_binary64_1729`
6×	`add-log-exp_binary64_1798` `add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797` `associate-l_binary64_1705` `associate-r_binary64_1704`
5×	`pow-prod-up_binary64_1829`
4×	`frac-times_binary64_1772` `unswap-sqr_binary64_1730`
3×	`pow-sqr_binary64_1735` `pow-prod-down_binary64_1830`
2×	`rem-sqrt-square_binary64_1775` `associate-l/_binary64_1707` `associate-r/_binary64_1706`
1×	`diff-log_binary64_1851` `prod-exp_binary64_1808` `pow-plus_binary64_1822` `sqrt-unprod_binary64_1781` `cbrt-unprod_binary64_1792` `rem-square-sqrt_binary64_1774` `sub-neg_binary64_1755` `*-commutative_binary64_1695` `pow2_binary64_1840`

Counts

4 → 98

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) (sqrt.f64 (-.f64 (.f64 x.re y.re) (*.f64 x.im y.im))))
4.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
4.0ms	(sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
4.0ms	(sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

series530.0ms (11.8%)

Counts

4 → 12

Calls

4 calls:

185.0ms	(sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
181.0ms	(sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
87.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) (sqrt.f64 (-.f64 (.f64 x.re y.re) (*.f64 x.im y.im))))
75.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5100	2569

prune83.0ms (1.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	110	4	114

Merged error: 0.0b

Counts

114 → 4

Compiler

Compiled 2337 to 445 computations (81% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
1.0b	(log.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
2.7b	(exp.f64 (log.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))))

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`log-prod_binary64_1845` `add-sqr-sqrt_binary64_1783` `*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794`
5×	`add-log-exp_binary64_1798` `pow1_binary64_1820`
4×	`exp-prod_binary64_1811` `add-exp-log_binary64_1797` `log-div_binary64_1846`
3×	`flip3--_binary64_1766` `flip--_binary64_1737` `exp-sum_binary64_1805` `add-cbrt-cube_binary64_1795`
2×	`log-pow_binary64_1848` `exp-diff_binary64_1807`
1×	`diff-log_binary64_1851` `rem-exp-log_binary64_1799` `sub-neg_binary64_1755` `rem-log-exp_binary64_1800`

Counts

3 → 42

Calls

3 calls:

5.0ms	(exp.f64 (log.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))))
4.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
4.0ms	(log.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

series407.0ms (9%)

Counts

3 → 9

Calls

3 calls:

214.0ms	(exp.f64 (log.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))))
114.0ms	(log.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
78.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

simplify70.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5000	1055

prune37.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	51	4	55

Merged error: 0.0b

Counts

55 → 4

Compiler

Compiled 767 to 208 computations (72.9% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.8b	(+.f64 (.f64 (.f64 x.re y.re) (.f64 x.re y.re)) (.f64 x.im (.f64 y.im (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)))))
1.8b	(-.f64 (pow.f64 (.f64 x.re y.re) 3) (pow.f64 (.f64 x.im y.im) 3))
4.3b	(.f64 x.im (.f64 y.im (+.f64 (.f64 x.re y.re) (.f64 x.im y.im))))
37.9b	(/.f64 (-.f64 (pow.f64 (.f64 x.re y.re) 3) (pow.f64 (.f64 x.im y.im) 3)) (+.f64 (.f64 (.f64 x.re y.re) (.f64 x.re y.re)) (.f64 x.im (.f64 y.im (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im))))))

rewrite65.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64_1783`
29×	`*-un-lft-identity_binary64_1762`
27×	`times-frac_binary64_1768`
20×	`sqr-pow_binary64_1734` `difference-of-squares_binary64_1731`
19×	`add-cube-cbrt_binary64_1794`
11×	`add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797`
9×	`associate-/l*_binary64_1709` `pow1_binary64_1820`
8×	`add-log-exp_binary64_1798` `distribute-rgt-in_binary64_1714` `distribute-lft-in_binary64_1713`
5×	`distribute-lft-out--_binary64_1716` `difference-cubes_binary64_1764`
4×	`associate-*r/_binary64_1706` `associate-+r+_binary64_1696`
3×	`pow-prod-down_binary64_1830` `prod-exp_binary64_1808` `flip3-+_binary64_1765` `associate-/r_binary64_1708` `flip-+_binary64_1736` `cbrt-unprod_binary64_1792` `associate-l*_binary64_1705`
2×	`associate-/r/_binary64_1710` `flip3--_binary64_1766` `associate-/l/_binary64_1711` `flip--_binary64_1737`
1×	`frac-2neg_binary64_1773` `diff-log_binary64_1851` `div-sub_binary64_1767` `clear-num_binary64_1761` `div-inv_binary64_1759` `+-commutative_binary64_1694` `cbrt-undiv_binary64_1793` `div-exp_binary64_1810` `sub-neg_binary64_1755` `-commutative_binary64_1695` `sum-log_binary64_1850` `associate-r*_binary64_1704`

Counts

4 → 112

Calls

4 calls:

19.0ms	(/.f64 (-.f64 (pow.f64 (.f64 x.re y.re) 3) (pow.f64 (.f64 x.im y.im) 3)) (+.f64 (.f64 (.f64 x.re y.re) (.f64 x.re y.re)) (.f64 x.im (.f64 y.im (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im))))))
10.0ms	(+.f64 (.f64 (.f64 x.re y.re) (.f64 x.re y.re)) (.f64 x.im (.f64 y.im (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)))))
9.0ms	(-.f64 (pow.f64 (.f64 x.re y.re) 3) (pow.f64 (.f64 x.im y.im) 3))
8.0ms	(.f64 x.im (.f64 y.im (+.f64 (.f64 x.re y.re) (.f64 x.im y.im))))

series971.0ms (21.6%)

Counts

4 → 12

Calls

4 calls:

355.0ms	(-.f64 (pow.f64 (.f64 x.re y.re) 3) (pow.f64 (.f64 x.im y.im) 3))
319.0ms	(/.f64 (-.f64 (pow.f64 (.f64 x.re y.re) 3) (pow.f64 (.f64 x.im y.im) 3)) (+.f64 (.f64 (.f64 x.re y.re) (.f64 x.re y.re)) (.f64 x.im (.f64 y.im (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im))))))
178.0ms	(+.f64 (.f64 (.f64 x.re y.re) (.f64 x.re y.re)) (.f64 x.im (.f64 y.im (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)))))
119.0ms	(.f64 x.im (.f64 y.im (+.f64 (.f64 x.re y.re) (.f64 x.im y.im))))

simplify94.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5074	7079

prune386.0ms (8.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	124	4	128

Merged error: 0.0b

Counts

128 → 4

Compiler

Compiled 5595 to 1997 computations (64.3% saved)

regimes132.0ms (2.9%)

Compiler: Compiled 909 to 703 computations (22.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	14
1	38	14

end0.0ms (0%)

sample645.0ms (14.3%)

Algorithm

1×

intervals

Results

216.0ms	8000×	body	128	valid
39.0ms	1398×	body	128	invalid

Compiler

Compiled 140 to 110 computations (21.4% saved)

Details

analyze565.0ms (12.5%)

sample17.0ms (0.4%)

simplify168.0ms (3.7%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite6.0ms (0.1%)

series89.0ms (2%)

simplify66.0ms (1.5%)

prune14.0ms (0.3%)

localize8.0ms (0.2%)

rewrite36.0ms (0.8%)

series530.0ms (11.8%)

simplify62.0ms (1.4%)

prune83.0ms (1.8%)

localize9.0ms (0.2%)

rewrite17.0ms (0.4%)

series407.0ms (9%)

simplify70.0ms (1.5%)

prune37.0ms (0.8%)

localize17.0ms (0.4%)

rewrite65.0ms (1.5%)

series971.0ms (21.6%)

simplify94.0ms (2.1%)

prune386.0ms (8.6%)

regimes132.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample645.0ms (14.3%)

Profiling