Details

analyze267.0ms (6.3%)

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)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify46.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5126	25

prune3.0ms (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)

localize11.0ms (0.2%)

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)

rewrite104.0ms (2.4%)

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:

13.0ms	(+.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)

series754.0ms (17.8%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

380.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
191.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
99.0ms	(+.f64 (.f64 a a) (.f64 b b))
27.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2199 to 1804 computations (18% saved)

simplify115.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4905	1630
1	4905	1630

prune110.0ms (2.6%)

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

Counts

111 → 2

Compiler

Compiled 2194 to 1059 computations (51.7% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
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)))
0.0b	(.f64 4 (.f64 b b))
2.1b	(.f64 (.f64 a a) (*.f64 b b))

rewrite186.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

55×	`pow1_binary64_1844`
39×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
30×	`pow-prod-down_binary64_1854`
24×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
13×	`add-log-exp_binary64_1822`
7×	`add-sqr-sqrt_binary64_1805` `associate-l_binary64_1724`
6×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `sum-log_binary64_1874`
4×	`pow-prod-up_binary64_1853` `pow-plus_binary64_1846`
3×	`associate-r_binary64_1723` `*-commutative_binary64_1714`
2×	`pow2_binary64_1864` `pow-sqr_binary64_1756` `unswap-sqr_binary64_1751`
1×	`flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-+l+_binary64_1716` `+-commutative_binary64_1713`

Counts

4 → 89

Calls

4 calls:

24.0ms	(+.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)))
13.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
9.0ms	(.f64 (.f64 a a) (*.f64 b b))
6.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2952 to 1549 computations (47.5% saved)

series606.0ms (14.3%)

Error

Counts

4 → 33

Calls

4 calls:

366.0ms	(+.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)))
91.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
83.0ms	(.f64 (.f64 a a) (*.f64 b b))
28.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 1875 to 1540 computations (17.9% saved)

simplify95.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4980	1790
1	4980	1790

prune143.0ms (3.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	122	2	124

Error

Counts

124 → 2

Compiler

Compiled 3179 to 1850 computations (41.8% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 2 (.f64 a a))
1.6b	(.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a)))))

rewrite65.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
6×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `add-sqr-sqrt_binary64_1805`
4×	`add-cube-cbrt_binary64_1818` `-un-lft-identity_binary64_1783` `associate-l_binary64_1724` `associate-r*_binary64_1723`
2×	`add-log-exp_binary64_1822` `unswap-sqr_binary64_1751` `associate-r/_binary64_1725` `-commutative_binary64_1714`
1×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `flip3-+_binary64_1786` `flip-+_binary64_1757`

Counts

2 → 42

Calls

2 calls:

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

Compiler

Compiled 1112 to 570 computations (48.7% saved)

series219.0ms (5.2%)

Error

Counts

2 → 15

Calls

2 calls:

182.0ms	(.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a)))))
24.0ms	(.f64 2 (.f64 a a))

Compiler

Compiled 643 to 545 computations (15.2% saved)

simplify77.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5045	944

prune53.0ms (1.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	57	2	59

Error

Counts

59 → 2

Compiler

Compiled 1173 to 666 computations (43.2% saved)

regimes287.0ms (6.8%)

Accuracy

Total 0.0b remaining (64.2%)

Threshold costs 0.0b (64.2%)

Compiler

Compiled 3793 to 2452 computations (35.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	37
1	34	37

end0.0ms (0%)

sample1.1s (24.9%)

Algorithm

1×

intervals

Results

355.0ms	8000×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 533 to 356 computations (33.2% saved)

Details

analyze267.0ms (6.3%)

sample21.0ms (0.5%)

simplify46.0ms (1.1%)

prune3.0ms (0.1%)

localize11.0ms (0.2%)

rewrite104.0ms (2.4%)

series754.0ms (17.8%)

simplify115.0ms (2.7%)

prune110.0ms (2.6%)

localize15.0ms (0.4%)

rewrite186.0ms (4.4%)

series606.0ms (14.3%)

simplify95.0ms (2.2%)

prune143.0ms (3.4%)

localize12.0ms (0.3%)

rewrite65.0ms (1.5%)

series219.0ms (5.2%)

simplify77.0ms (1.8%)

prune53.0ms (1.3%)

regimes287.0ms (6.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (24.9%)

Profiling