Details

analyze65.0ms (2.1%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample13.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify110.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	184	10
1	184	10

prune2.0ms (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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (-.f64 1 (.f64 x y)))
0.0b	(-.f64 1 (*.f64 x y))
0.0b	(-.f64 1 (*.f64 x y))
0.1b	(.f64 x (-.f64 1 (.f64 x y)))

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_1805`
4×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `add-log-exp_binary64_1822` `pow1_binary64_1844`
3×	`cancel-sign-sub-inv_binary64_1749` `associate-l_binary64_1724` `sub-neg_binary64_1776` `associate-r_binary64_1723`
2×	`flip3--_binary64_1787` `associate-*r/_binary64_1725` `distribute-lft-in_binary64_1732` `distribute-rgt-in_binary64_1733` `flip--_binary64_1758`
1×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `diff-log_binary64_1875` `*-commutative_binary64_1714` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751`

Counts

2 → 36

Calls

4 calls:

7.0ms	(.f64 x (-.f64 1 (.f64 x y)))
3.0ms	(-.f64 1 (*.f64 x y))
0.0ms	(-.f64 1 (*.f64 x y))
0.0ms	(.f64 x (-.f64 1 (.f64 x y)))

series132.0ms (4.2%)

Counts

2 → 24

Calls

2 calls:

84.0ms	(.f64 x (-.f64 1 (.f64 x y)))
48.0ms	(-.f64 1 (*.f64 x y))

Compiler

Compiled 232 to 208 computations (10.3% saved)

simplify64.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4945	606
1	4945	606

prune56.0ms (1.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	53	7	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	7	61

Error

0.0b

Counts

61 → 7

Compiler

Compiled 696 to 338 computations (51.4% saved)

localize5.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (neg.f64 (.f64 x y)))
0.0b	(+.f64 x (.f64 x (neg.f64 (.f64 x y))))
0.0b	(+.f64 x (.f64 x (neg.f64 (.f64 x y))))
0.2b	(.f64 x (neg.f64 (.f64 x y)))

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_1805` `associate-r_binary64_1723`
4×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `add-log-exp_binary64_1822` `pow1_binary64_1844`
3×	`associate-l_binary64_1724`
2×	`distribute-rgt-neg-out_binary64_1743`
1×	`unsub-neg_binary64_1777` `+-commutative_binary64_1713` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `flip-+_binary64_1757` `distribute-lft-neg-in_binary64_1740` `*-commutative_binary64_1714` `sum-log_binary64_1874` `flip3-+_binary64_1786` `neg-mul-1_binary64_1779` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751` `distribute-rgt-neg-in_binary64_1741`

Counts

2 → 34

Calls

4 calls:

5.0ms	(.f64 x (neg.f64 (.f64 x y)))
3.0ms	(+.f64 x (.f64 x (neg.f64 (.f64 x y))))
0.0ms	(+.f64 x (.f64 x (neg.f64 (.f64 x y))))
0.0ms	(.f64 x (neg.f64 (.f64 x y)))

series155.0ms (5%)

Counts

2 → 18

Calls

2 calls:

84.0ms	(+.f64 x (.f64 x (neg.f64 (.f64 x y))))
71.0ms	(.f64 x (neg.f64 (.f64 x y)))

Compiler

Compiled 222 to 200 computations (9.9% saved)

simplify70.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4903	558
1	4903	558

prune37.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	55	4	59

Error

0.0b

Counts

59 → 4

Compiler

Compiled 586 to 150 computations (74.4% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.9b	(.f64 (.f64 x x) (neg.f64 y))
0.0b	(+.f64 x (.f64 (.f64 x x) (neg.f64 y)))
0.0b	(+.f64 x (.f64 (.f64 x x) (neg.f64 y)))
7.9b	(.f64 (.f64 x x) (neg.f64 y))

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`associate-r_binary64_1723`
7×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `pow1_binary64_1844`
6×	`add-sqr-sqrt_binary64_1805`
5×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
4×	`add-log-exp_binary64_1822`
3×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `distribute-lft-neg-in_binary64_1740` `pow-prod-down_binary64_1854` `distribute-rgt-neg-in_binary64_1741`
2×	`distribute-rgt-neg-out_binary64_1743`
1×	`unsub-neg_binary64_1777` `+-commutative_binary64_1713` `flip-+_binary64_1757` `associate-l_binary64_1724` `*-commutative_binary64_1714` `sum-log_binary64_1874` `flip3-+_binary64_1786` `neg-mul-1_binary64_1779` `unswap-sqr_binary64_1751`

Counts

2 → 39

Calls

4 calls:

7.0ms	(.f64 (.f64 x x) (neg.f64 y))
3.0ms	(+.f64 x (.f64 (.f64 x x) (neg.f64 y)))
0.0ms	(+.f64 x (.f64 (.f64 x x) (neg.f64 y)))
0.0ms	(.f64 (.f64 x x) (neg.f64 y))

series153.0ms (4.9%)

Counts

2 → 18

Calls

2 calls:

80.0ms	(+.f64 x (.f64 (.f64 x x) (neg.f64 y)))
73.0ms	(.f64 (.f64 x x) (neg.f64 y))

Compiler

Compiled 222 to 200 computations (9.9% saved)

simplify86.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5512	610

prune31.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	57	4	61

Error

0.0b

Counts

61 → 4

Compiler

Compiled 623 to 155 computations (75.1% saved)

localize14.0ms (0.4%)

Local error

Found 8 expressions with local error:

1.2b	(.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))
0.3b	(.f64 (.f64 x y) (*.f64 x y))
0.3b	(pow.f64 (*.f64 x y) 3)
0.0b	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 1 (*.f64 x y)))
0.3b	(pow.f64 (*.f64 x y) 3)
0.3b	(.f64 (.f64 x y) (*.f64 x y))
1.2b	(.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))
10.5b	(/.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 1 (.f64 x y)))))

rewrite57.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`pow1_binary64_1844`
26×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
19×	`pow-prod-down_binary64_1854`
17×	`add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
16×	`cancel-sign-sub-inv_binary64_1749`
11×	`add-cube-cbrt_binary64_1818` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832`
9×	`distribute-lft-in_binary64_1732` `distribute-rgt-in_binary64_1733` `associate-r_binary64_1723`
5×	`sqr-pow_binary64_1755`
4×	`associate-r/_binary64_1725` `difference-of-squares_binary64_1752` `pow-prod-up_binary64_1853` `associate-/r_binary64_1727` `associate-l_binary64_1724` `times-frac_binary64_1789` `pow-sqr_binary64_1756` `add-log-exp_binary64_1822`
3×	`cube-mult_binary64_1813` `pow-unpow_binary64_1860` `unpow3_binary64_1849` `unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
2×	`flip3--_binary64_1787` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `rem-cube-cbrt_binary64_1806` `distribute-lft-out_binary64_1734` `pow-plus_binary64_1846` `cbrt-undiv_binary64_1817` `*-commutative_binary64_1714` `div-exp_binary64_1834` `pow-pow_binary64_1855` `flip--_binary64_1758` `sub-neg_binary64_1776` `pow-exp_binary64_1851`
1×	`associate-/l*_binary64_1728` `swap-sqr_binary64_1750` `flip-+_binary64_1757` `div-inv_binary64_1780` `distribute-lft-out--_binary64_1735` `frac-2neg_binary64_1794` `flip3-+_binary64_1786` `clear-num_binary64_1782` `unswap-sqr_binary64_1751` `pow-to-exp_binary64_1852` `pow2_binary64_1864`

Counts

4 → 126

Calls

8 calls:

21.0ms	(/.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 1 (.f64 x y)))))
10.0ms	(.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))
7.0ms	(.f64 (.f64 x y) (*.f64 x y))
4.0ms	(pow.f64 (*.f64 x y) 3)
0.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 1 (*.f64 x y)))

series673.0ms (21.7%)

Counts

4 → 36

Calls

4 calls:

305.0ms	(/.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 1 (.f64 x y)))))
221.0ms	(.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))
77.0ms	(pow.f64 (*.f64 x y) 3)
70.0ms	(.f64 (.f64 x y) (*.f64 x y))

Compiler

Compiled 1256 to 912 computations (27.4% saved)

simplify82.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5104	2208

prune206.0ms (6.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	160	2	162
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	161	5	166

Error

Counts

166 → 5

Compiler

Compiled 4517 to 2350 computations (48% saved)

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	287	556
1	287	556

regimes131.0ms (4.2%)

Compiler: Compiled 1162 to 799 computations (31.2% saved)

bsearch0.0ms (0%)

regimes85.0ms (2.7%)

Compiler: Compiled 36 to 50 computations (-38.9% saved)

bsearch30.0ms (1%)

Steps

Iters	Range		Point
10	5.247090918283201e+82	1.6967210174689964e+96	2.120353431922988e+93
8	-9.393462891036808e+42	-2.708046707728148e+39	-1.580540693828247e+41

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes17.0ms (0.6%)

Compiler: Compiled 12 to 30 computations (-150% saved)

bsearch0.0ms (0%)

regimes18.0ms (0.6%)

Accuracy

Total 0.1b remaining (94.3%)

Threshold costs 0.1b (94.3%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 31 to 24 computations (22.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	37
1	55	37

end0.0ms (0%)

sample743.0ms (24%)

Algorithm

1×

intervals

Results

196.0ms	8000×	body	128	valid
2.0ms	82×	body	128	invalid

Compiler

Compiled 393 to 275 computations (30% saved)

Pareto

0.31202988017600314

Details

analyze65.0ms (2.1%)

sample13.0ms (0.4%)

simplify110.0ms (3.6%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite12.0ms (0.4%)

series132.0ms (4.2%)

simplify64.0ms (2.1%)

prune56.0ms (1.8%)

localize5.0ms (0.2%)

rewrite10.0ms (0.3%)

series155.0ms (5%)

simplify70.0ms (2.2%)

prune37.0ms (1.2%)

localize6.0ms (0.2%)

rewrite14.0ms (0.4%)

series153.0ms (4.9%)

simplify86.0ms (2.8%)

prune31.0ms (1%)

localize14.0ms (0.4%)

rewrite57.0ms (1.8%)

series673.0ms (21.7%)

simplify82.0ms (2.7%)

prune206.0ms (6.6%)

simplify11.0ms (0.4%)

regimes131.0ms (4.2%)

bsearch0.0ms (0%)

regimes85.0ms (2.7%)

bsearch30.0ms (1%)

regimes17.0ms (0.6%)

bsearch0.0ms (0%)

regimes18.0ms (0.6%)

bsearch3.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample743.0ms (24%)

Profiling