Details

analyze103.0ms (1.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
6.2%	43.7%	50%	5
9.4%	28.1%	62.5%	6
12.5%	25%	62.5%	7
15.6%	15.6%	68.8%	8
16.8%	14.4%	68.8%	9
18.5%	8.8%	72.7%	10
19.2%	7.7%	73.1%	11
20.1%	4.6%	75.2%	12
20.5%	4%	75.5%	13
21%	2.4%	76.6%	14

Compiler

Compiled 21 to 20 computations (4.8% saved)

sample31.0ms (0.4%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
1.0ms	9×	body	128	invalid
0.0ms	9×	body	128	nan

Compiler

Compiled 41 to 41 computations (0% saved)

simplify209.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	1049	21
1	1049	21

prune4.0ms (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 → 2

Compiler

Compiled 48 to 45 computations (6.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 a 1/3) 9)
0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a 1/3) 9)))))
0.1b	(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))
0.2b	(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))

rewrite217.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`add-sqr-sqrt_binary64_1805`
23×	`*-un-lft-identity_binary64_1783`
17×	`add-cube-cbrt_binary64_1818`
12×	`times-frac_binary64_1789`
11×	`pow1_binary64_1844`
10×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `associate-l_binary64_1724`
8×	`associate-*l/_binary64_1726`
7×	`associate-r_binary64_1723`
6×	`flip3--_binary64_1787` `flip--_binary64_1758`
5×	`sqrt-prod_binary64_1799`
4×	`add-log-exp_binary64_1822` `sqrt-div_binary64_1800` `associate-/r*_binary64_1727` `frac-times_binary64_1793`
3×	`associate-/l*_binary64_1728` `pow-prod-down_binary64_1854` `flip3-+_binary64_1786` `flip-+_binary64_1757`
2×	`associate-/r/_binary64_1729` `sqrt-pow1_binary64_1801` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `associate-r/_binary64_1725` `difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735` `-commutative_binary64_1714`
1×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `pow1/2_binary64_1863` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `distribute-lft-out_binary64_1734`

Counts

4 → 99

Calls

4 calls:

15.0ms	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a 1/3) 9)))))
10.0ms	(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
7.0ms	(*.f64 (-.f64 a 1/3) 9)
5.0ms	(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))

Compiler

Compiled 2373 to 1883 computations (20.6% saved)

series420.0ms (5.6%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

184.0ms	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a 1/3) 9)))))
134.0ms	(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
53.0ms	(*.f64 (-.f64 a 1/3) 9)
19.0ms	(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))

Compiler

Compiled 850 to 737 computations (13.3% saved)

simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5010	2067

prune186.0ms (2.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	119	4	123
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	120	5	125

Error

0.0b

Counts

125 → 5

Compiler

Compiled 2482 to 1954 computations (21.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 a 1/3))
0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))) (sqrt.f64 9))))
0.2b	(/.f64 rand (sqrt.f64 (-.f64 a 1/3)))
0.2b	(/.f64 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))) (sqrt.f64 9))

rewrite880.0ms (11.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

372×	`times-frac_binary64_1789`
248×	`add-sqr-sqrt_binary64_1805`
247×	`*-un-lft-identity_binary64_1783`
223×	`sqrt-prod_binary64_1799`
191×	`add-cube-cbrt_binary64_1818`
33×	`associate-/l*_binary64_1728`
27×	`difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735`
18×	`sqrt-div_binary64_1800`
16×	`associate-/r/_binary64_1729`
14×	`associate-/r*_binary64_1727`
13×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
12×	`flip3--_binary64_1787` `flip--_binary64_1758`
9×	`div-inv_binary64_1780`
7×	`pow1_binary64_1844`
5×	`associate-l_binary64_1724`
4×	`div-exp_binary64_1834` `add-log-exp_binary64_1822` `cbrt-undiv_binary64_1817` `frac-times_binary64_1793` `associate-r_binary64_1723`
3×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-l/_binary64_1726` `associate-r/_binary64_1725`
1×	`associate-/l/_binary64_1730` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `distribute-lft-out_binary64_1734` `*-commutative_binary64_1714` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`

Counts

4 → 328

Calls

4 calls:

60.0ms	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))) (sqrt.f64 9))))
18.0ms	(/.f64 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))) (sqrt.f64 9))
13.0ms	(/.f64 rand (sqrt.f64 (-.f64 a 1/3)))
3.0ms	(sqrt.f64 (-.f64 a 1/3))

Compiler

Compiled 9369 to 7342 computations (21.6% saved)

series440.0ms (5.9%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

184.0ms	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))) (sqrt.f64 9))))
132.0ms	(/.f64 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))) (sqrt.f64 9))
93.0ms	(/.f64 rand (sqrt.f64 (-.f64 a 1/3)))
15.0ms	(sqrt.f64 (-.f64 a 1/3))

Compiler

Compiled 994 to 863 computations (13.2% saved)

simplify165.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

352 → 352

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4958	8590
1	4958	8590

prune631.0ms (8.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	351	1	352
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	352	5	357

Error

0.0b

Counts

357 → 5

Compiler

Compiled 8505 to 6490 computations (23.7% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (-.f64 a 1/3))
0.3b	(*.f64 rand (sqrt.f64 (-.f64 a 1/3)))
0.4b	(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))

rewrite104.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-sqr-sqrt_binary64_1805`
12×	`*-un-lft-identity_binary64_1783`
11×	`pow1_binary64_1844` `sqrt-prod_binary64_1799`
10×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
9×	`associate-r_binary64_1723`
8×	`add-cube-cbrt_binary64_1818`
6×	`sqrt-div_binary64_1800` `associate-r/_binary64_1725` `associate-l*_binary64_1724`
4×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
3×	`add-log-exp_binary64_1822` `flip3--_binary64_1787` `flip--_binary64_1758`
2×	`*-commutative_binary64_1714` `unswap-sqr_binary64_1751` `difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735`
1×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`

Counts

3 → 63

Calls

3 calls:

11.0ms	(*.f64 rand (sqrt.f64 (-.f64 a 1/3)))
9.0ms	(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
3.0ms	(sqrt.f64 (-.f64 a 1/3))

Compiler

Compiled 1193 to 918 computations (23.1% saved)

series209.0ms (2.8%)

Error

0.0b

Counts

3 → 15

Calls

3 calls:

100.0ms	(*.f64 rand (sqrt.f64 (-.f64 a 1/3)))
82.0ms	(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
12.0ms	(sqrt.f64 (-.f64 a 1/3))

Compiler

Compiled 585 to 489 computations (16.4% saved)

simplify95.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5809	851

prune92.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	78	5	83

Error

Counts

83 → 5

Compiler

Compiled 1260 to 964 computations (23.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (-.f64 a 1/3))
0.3b	(.f64 (.f64 1/3 rand) (sqrt.f64 (-.f64 a 1/3)))
0.4b	(*.f64 1/3 rand)

rewrite115.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64_1805`
12×	`*-un-lft-identity_binary64_1783`
11×	`pow1_binary64_1844` `associate-r_binary64_1723`
10×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `sqrt-prod_binary64_1799`
8×	`add-cube-cbrt_binary64_1818`
4×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-l_binary64_1724` `sqrt-div_binary64_1800`
3×	`add-log-exp_binary64_1822`
2×	`-commutative_binary64_1714` `flip3--_binary64_1787` `associate-r/_binary64_1725` `flip--_binary64_1758` `difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735`
1×	`unswap-sqr_binary64_1751` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`

Counts

3 → 60

Calls

3 calls:

12.0ms	(.f64 (.f64 1/3 rand) (sqrt.f64 (-.f64 a 1/3)))
6.0ms	(sqrt.f64 (-.f64 a 1/3))
4.0ms	(*.f64 1/3 rand)

Compiler

Compiled 1096 to 849 computations (22.5% saved)

series173.0ms (2.3%)

Error

Counts

3 → 12

Calls

3 calls:

129.0ms	(.f64 (.f64 1/3 rand) (sqrt.f64 (-.f64 a 1/3)))
19.0ms	(*.f64 1/3 rand)
14.0ms	(sqrt.f64 (-.f64 a 1/3))

Compiler

Compiled 460 to 391 computations (15% saved)

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5219	696

prune79.0ms (1.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	72	5	77

Error

Counts

77 → 5

Compiler

Compiled 1114 to 856 computations (23.2% saved)

regimes603.0ms (8.1%)

Accuracy

Total 0.1b remaining (97.6%)

Threshold costs 0.1b (97.6%)

Compiler

Compiled 5674 to 4982 computations (12.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	24
1	27	24

end0.0ms (0%)

sample2.6s (34.2%)

Algorithm

1×

intervals

Results

553.0ms	8000×	body	128	valid
20.0ms	243×	body	128	invalid
16.0ms	256×	body	128	nan

Compiler

Compiled 1442 to 1267 computations (12.1% saved)

Details

analyze103.0ms (1.4%)

sample31.0ms (0.4%)

simplify209.0ms (2.8%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

rewrite217.0ms (2.9%)

series420.0ms (5.6%)

simplify71.0ms (0.9%)

prune186.0ms (2.5%)

localize9.0ms (0.1%)

rewrite880.0ms (11.8%)

series440.0ms (5.9%)

simplify165.0ms (2.2%)

prune631.0ms (8.4%)

localize7.0ms (0.1%)

rewrite104.0ms (1.4%)

series209.0ms (2.8%)

simplify95.0ms (1.3%)

prune92.0ms (1.2%)

localize7.0ms (0.1%)

rewrite115.0ms (1.5%)

series173.0ms (2.3%)

simplify67.0ms (0.9%)

prune79.0ms (1.1%)

regimes603.0ms (8.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.6s (34.2%)

Profiling