Details

analyze249.0ms (4.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5092	50
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
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)

sample19.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify40.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5126	25

prune3.0ms (0%)

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)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite89.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

10×	`pow1_binary64_1844` `add-exp-log_binary64_1821`
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×	`unpow-prod-down_binary64_1862` `pow-unpow_binary64_1860` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-l_binary64_1724`
2×	`sum-log_binary64_1874` `flip3-+_binary64_1786` `flip-+_binary64_1757` `+-commutative_binary64_1713`
1×	`pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `unpow2_binary64_1848` `sqr-pow_binary64_1755` `unswap-sqr_binary64_1751` `associate-r_binary64_1723` `*-commutative_binary64_1714`

Counts

4 → 59

Calls

4 calls:

8.0ms	(+.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))

Compiler

Compiled 1523 to 667 computations (56.2% saved)

series750.0ms (13.5%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

369.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
212.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
89.0ms	(+.f64 (.f64 a a) (.f64 b b))
27.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2199 to 1804 computations (18% saved)

simplify96.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4905	1630
1	4905	1630

prune103.0ms (1.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	2	111

Error

0.0b

Counts

111 → 2

Compiler

Compiled 2194 to 1059 computations (51.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
0.0b	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
2.0b	(.f64 (.f64 a a) (*.f64 b b))

rewrite169.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`pow1_binary64_1844`
21×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
18×	`add-log-exp_binary64_1822`
17×	`pow-prod-down_binary64_1854`
11×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
9×	`sum-log_binary64_1874`
6×	`add-sqr-sqrt_binary64_1805`
5×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
4×	`pow-prod-up_binary64_1853` `pow-plus_binary64_1846` `associate-l_binary64_1724`
2×	`pow2_binary64_1864` `pow-sqr_binary64_1756` `unswap-sqr_binary64_1751` `associate-r_binary64_1723` `*-commutative_binary64_1714` `flip3-+_binary64_1786` `flip-+_binary64_1757` `+-commutative_binary64_1713`
1×	`associate-+l+_binary64_1716` `associate-+r+_binary64_1715`

Counts

4 → 75

Calls

4 calls:

23.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
19.0ms	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
11.0ms	(.f64 (.f64 a a) (*.f64 b b))
6.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2592 to 1394 computations (46.2% saved)

series845.0ms (15.2%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

385.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
308.0ms	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
81.0ms	(.f64 (.f64 a a) (*.f64 b b))
26.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2259 to 1840 computations (18.5% saved)

simplify63.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4972	2041
1	4972	2041

prune137.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	119	3	122

Error

Counts

122 → 3

Compiler

Compiled 3095 to 1761 computations (43.1% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 2 (.f64 a a))
0.0b	(+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a))))
0.8b	(.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a)))))

rewrite87.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
8×	`add-log-exp_binary64_1822`
7×	`add-sqr-sqrt_binary64_1805`
6×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
5×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
4×	`associate-l_binary64_1724` `associate-r_binary64_1723`
3×	`sum-log_binary64_1874`
2×	`unswap-sqr_binary64_1751` `flip3-+_binary64_1786` `associate-r/_binary64_1725` `flip-+_binary64_1757` `-commutative_binary64_1714`
1×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-+r+_binary64_1715` `+-commutative_binary64_1713`

Counts

3 → 55

Calls

3 calls:

10.0ms	(.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a)))))
6.0ms	(+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a))))
6.0ms	(.f64 2 (.f64 a a))

Compiler

Compiled 1478 to 756 computations (48.8% saved)

series346.0ms (6.2%)

Error

Counts

3 → 27

Calls

3 calls:

185.0ms	(.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a)))))
111.0ms	(+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a))))
25.0ms	(.f64 2 (.f64 a a))

Compiler

Compiled 1077 to 895 computations (16.9% saved)

simplify90.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4996	1366
1	4996	1366

prune78.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	83	2	85

Error

Counts

85 → 2

Compiler

Compiled 1679 to 926 computations (44.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 b b) (+.f64 (.f64 2 (*.f64 a a)) 4))
0.0b	(.f64 2 (.f64 a a))
0.1b	(.f64 b (+.f64 (.f64 b b) (+.f64 (.f64 2 (.f64 a a)) 4)))
0.1b	(.f64 b (.f64 b (+.f64 (.f64 b b) (+.f64 (.f64 2 (*.f64 a a)) 4))))

rewrite127.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
11×	`add-sqr-sqrt_binary64_1805`
9×	`add-log-exp_binary64_1822` `associate-l_binary64_1724`
8×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
7×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
6×	`associate-*r/_binary64_1725`
5×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-r_binary64_1723`
3×	`flip3-+_binary64_1786` `flip-+_binary64_1757` `*-commutative_binary64_1714` `sum-log_binary64_1874`
2×	`unswap-sqr_binary64_1751`
1×	`associate-+r+_binary64_1715` `+-commutative_binary64_1713`

Counts

4 → 78

Calls

4 calls:

13.0ms	(.f64 b (.f64 b (+.f64 (.f64 b b) (+.f64 (.f64 2 (*.f64 a a)) 4))))
11.0ms	(.f64 b (+.f64 (.f64 b b) (+.f64 (.f64 2 (.f64 a a)) 4)))
9.0ms	(+.f64 (.f64 b b) (+.f64 (.f64 2 (*.f64 a a)) 4))
8.0ms	(.f64 2 (.f64 a a))

Compiler

Compiled 2093 to 1133 computations (45.9% saved)

series527.0ms (9.5%)

Error

Counts

4 → 39

Calls

4 calls:

195.0ms	(.f64 b (.f64 b (+.f64 (.f64 b b) (+.f64 (.f64 2 (*.f64 a a)) 4))))
167.0ms	(.f64 b (+.f64 (.f64 b b) (+.f64 (.f64 2 (.f64 a a)) 4)))
110.0ms	(+.f64 (.f64 b b) (+.f64 (.f64 2 (*.f64 a a)) 4))
24.0ms	(.f64 2 (.f64 a a))

Compiler

Compiled 1539 to 1292 computations (16% saved)

simplify92.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4951	2006
1	4951	2006

prune112.0ms (2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	117	2	119

Error

Counts

119 → 2

Compiler

Compiled 2367 to 1401 computations (40.8% saved)

regimes357.0ms (6.4%)

Accuracy

Total 0.0b remaining (75.9%)

Threshold costs 0.0b (75.9%)

Compiler

Compiled 4850 to 3166 computations (34.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	37
1	33	37

end0.0ms (0%)

sample1.1s (20.5%)

Algorithm

1×

intervals

Results

341.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 690 to 461 computations (33.2% saved)

Details

analyze249.0ms (4.5%)

sample19.0ms (0.3%)

simplify40.0ms (0.7%)

prune3.0ms (0%)

localize10.0ms (0.2%)

rewrite89.0ms (1.6%)

series750.0ms (13.5%)

simplify96.0ms (1.7%)

prune103.0ms (1.8%)

localize14.0ms (0.2%)

rewrite169.0ms (3%)

series845.0ms (15.2%)

simplify63.0ms (1.1%)

prune137.0ms (2.5%)

localize12.0ms (0.2%)

rewrite87.0ms (1.6%)

series346.0ms (6.2%)

simplify90.0ms (1.6%)

prune78.0ms (1.4%)

localize10.0ms (0.2%)

rewrite127.0ms (2.3%)

series527.0ms (9.5%)

simplify92.0ms (1.6%)

prune112.0ms (2%)

regimes357.0ms (6.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.1s (20.5%)

Profiling