Details

analyze64.0ms (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
25%	50%	25.1%	6
25%	31.2%	43.8%	7
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify132.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5126	25

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 34 to 24 computations (29.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 a a) (.f64 b b))
0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite30.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64_1821` `pow1_binary64_1844`
9×	`add-cbrt-cube_binary64_1819`
8×	`add-sqr-sqrt_binary64_1805` `add-log-exp_binary64_1822`
7×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
3×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-unpow_binary64_1860` `unpow-prod-down_binary64_1862` `associate-l_binary64_1724` `pow-prod-down_binary64_1854`
2×	`+-commutative_binary64_1713` `flip-+_binary64_1757` `sum-log_binary64_1874` `flip3-+_binary64_1786`
1×	`sqr-pow_binary64_1755` `unpow2_binary64_1848` `-commutative_binary64_1714` `pow-pow_binary64_1855` `unswap-sqr_binary64_1751` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `associate-r*_binary64_1723`

Counts

4 → 59

Calls

4 calls:

9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
6.0ms	(.f64 4 (.f64 b b))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
4.0ms	(+.f64 (.f64 a a) (.f64 b b))

series121.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

49.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
30.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
22.0ms	(+.f64 (.f64 a a) (.f64 b b))
20.0ms	(.f64 4 (.f64 b b))

simplify76.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4980	1108
1	4980	1108

prune78.0ms (2.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	3	72

Error

Counts

72 → 3

Compiler

Compiled 1627 to 780 computations (52.1% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 b 4) (pow.f64 a 4))
0.0b	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
1.7b	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))

rewrite52.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `pow1_binary64_1844`
18×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-prod-down_binary64_1854`
15×	`add-log-exp_binary64_1822`
9×	`*-un-lft-identity_binary64_1783`
7×	`sum-log_binary64_1874`
6×	`add-sqr-sqrt_binary64_1805`
5×	`add-cube-cbrt_binary64_1818`
4×	`associate-l_binary64_1724`
2×	`+-commutative_binary64_1713` `distribute-lft-out_binary64_1734` `flip-+_binary64_1757` `unpow-prod-down_binary64_1862` `-commutative_binary64_1714` `flip3-+_binary64_1786` `associate-r*_binary64_1723`
1×	`associate-+l+_binary64_1716` `unswap-sqr_binary64_1751`

Counts

4 → 74

Calls

4 calls:

21.0ms	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
10.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
7.0ms	(+.f64 (pow.f64 b 4) (pow.f64 a 4))
6.0ms	(.f64 4 (.f64 b b))

series128.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
33.0ms	(+.f64 (pow.f64 b 4) (pow.f64 a 4))
28.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
21.0ms	(.f64 4 (.f64 b b))

simplify80.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4975	1404
1	4975	1404

prune113.0ms (3.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	86	3	89

Error

Counts

89 → 3

Compiler

Compiled 2502 to 1645 computations (34.3% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)) (.f64 4 (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)
21.3b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6))

rewrite32.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_1805` `add-exp-log_binary64_1821` `pow1_binary64_1844`
9×	`add-cbrt-cube_binary64_1819` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
7×	`cbrt-prod_binary64_1814`
6×	`unpow-prod-down_binary64_1862` `add-log-exp_binary64_1822`
3×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-unpow_binary64_1860` `associate-l_binary64_1724` `pow-prod-down_binary64_1854`
2×	`sqr-pow_binary64_1755`
1×	`+-commutative_binary64_1713` `flip-+_binary64_1757` `-commutative_binary64_1714` `sum-log_binary64_1874` `flip3-+_binary64_1786` `pow-pow_binary64_1855` `pow1/3_binary64_1865` `unswap-sqr_binary64_1751` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `associate-r*_binary64_1723`

Counts

4 → 62

Calls

4 calls:

11.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)) (.f64 4 (.f64 b b)))
5.0ms	(.f64 4 (.f64 b b))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6))

series271.0ms (8.8%)

Counts

4 → 12

Calls

4 calls:

174.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)
50.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)) (.f64 4 (.f64 b b)))
29.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6))
18.0ms	(.f64 4 (.f64 b b))

simplify76.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5028	1260

prune74.0ms (2.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	74	3	77

Error

Counts

77 → 3

Compiler

Compiled 1727 to 858 computations (50.3% saved)

localize20.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (.f64 b b))
0.3b	(pow.f64 (/.f64 (+.f64 (pow.f64 b 6) (pow.f64 a 6)) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (.f64 (.f64 a a) (*.f64 b b))))) 2)
1.7b	(.f64 (.f64 a a) (*.f64 b b))
35.8b	(/.f64 (+.f64 (pow.f64 b 6) (pow.f64 a 6)) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (.f64 (.f64 a a) (*.f64 b b)))))

rewrite70.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

85×	`*-un-lft-identity_binary64_1783`
44×	`unpow-prod-down_binary64_1862`
40×	`times-frac_binary64_1789`
38×	`pow1_binary64_1844`
29×	`distribute-lft-out_binary64_1734`
28×	`add-sqr-sqrt_binary64_1805`
27×	`add-cube-cbrt_binary64_1818`
26×	`add-exp-log_binary64_1821`
23×	`add-cbrt-cube_binary64_1819`
17×	`pow-prod-down_binary64_1854`
11×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832`
5×	`associate-/l*_binary64_1728`
4×	`associate-/r/_binary64_1729` `pow-plus_binary64_1846` `pow-prod-up_binary64_1853` `associate-/r_binary64_1727` `associate-l*_binary64_1724` `add-log-exp_binary64_1822`
3×	`pow-unpow_binary64_1860` `flip-+_binary64_1757` `flip3-+_binary64_1786`
2×	`associate-/l/_binary64_1730` `div-inv_binary64_1780` `pow-sqr_binary64_1756` `-commutative_binary64_1714` `div-exp_binary64_1834` `unswap-sqr_binary64_1751` `pow-exp_binary64_1851` `pow2_binary64_1864` `associate-r*_binary64_1723`
1×	`sqr-pow_binary64_1755` `unpow2_binary64_1848` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `pow-pow_binary64_1855` `clear-num_binary64_1782` `pow-to-exp_binary64_1852`

Counts

4 → 135

Calls

4 calls:

19.0ms	(pow.f64 (/.f64 (+.f64 (pow.f64 b 6) (pow.f64 a 6)) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (.f64 (.f64 a a) (*.f64 b b))))) 2)
17.0ms	(/.f64 (+.f64 (pow.f64 b 6) (pow.f64 a 6)) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (.f64 (.f64 a a) (*.f64 b b)))))
9.0ms	(.f64 (.f64 a a) (*.f64 b b))
6.0ms	(.f64 4 (.f64 b b))

series189.0ms (6.1%)

Counts

4 → 12

Calls

4 calls:

74.0ms	(/.f64 (+.f64 (pow.f64 b 6) (pow.f64 a 6)) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (.f64 (.f64 a a) (*.f64 b b)))))
72.0ms	(pow.f64 (/.f64 (+.f64 (pow.f64 b 6) (pow.f64 a 6)) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (.f64 (.f64 a a) (*.f64 b b))))) 2)
26.0ms	(.f64 (.f64 a a) (*.f64 b b))
17.0ms	(.f64 4 (.f64 b b))

simplify105.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5031	4930

prune310.0ms (10%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	147	3	150

Error

Counts

150 → 3

Compiler

Compiled 6164 to 3692 computations (40.1% saved)

regimes200.0ms (6.4%)

Accuracy

Total 0.0b remaining (66.2%)

Threshold costs 0.0b (66.2%)

Compiler

Compiled 2638 to 1798 computations (31.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	37
1	35	37

end0.0ms (0%)

sample825.0ms (26.6%)

Algorithm

1×

intervals

Results

322.0ms	8000×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 409 to 284 computations (30.6% saved)

Details

analyze64.0ms (2.1%)

sample17.0ms (0.5%)

simplify132.0ms (4.3%)

prune2.0ms (0.1%)

localize9.0ms (0.3%)

rewrite30.0ms (1%)

series121.0ms (3.9%)

simplify76.0ms (2.5%)

prune78.0ms (2.5%)

localize14.0ms (0.5%)

rewrite52.0ms (1.7%)

series128.0ms (4.1%)

simplify80.0ms (2.6%)

prune113.0ms (3.6%)

localize11.0ms (0.4%)

rewrite32.0ms (1%)

series271.0ms (8.8%)

simplify76.0ms (2.4%)

prune74.0ms (2.4%)

localize20.0ms (0.6%)

rewrite70.0ms (2.3%)

series189.0ms (6.1%)

simplify105.0ms (3.4%)

prune310.0ms (10%)

regimes200.0ms (6.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample825.0ms (26.6%)

Profiling