Details

analyze1.3s (3.3%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
26.5%	73.3%	0.1%	8
33.5%	66.3%	0.1%	9
49.1%	50.7%	0.1%	10
56.9%	42.9%	0.1%	11
60.8%	39%	0.1%	12
69%	30.9%	0.1%	13
72.5%	27.3%	0.1%	14

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample126.0ms (0.3%)

Algorithm

1×

intervals

Results

63.0ms	89×	body	1024	valid
10.0ms	68×	body	128	valid
10.0ms	20×	body	256	valid
9.0ms	34×	body	2048	valid
8.0ms	45×	body	512	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify353.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	504	17
1	504	17

prune20.0ms (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

Merged error: 46.4b

Counts

2 → 1

Compiler

Compiled 24 to 18 computations (25% saved)

localize16.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
9.6b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

rewrite30.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-log-exp_binary64_1822`
10×	`*-un-lft-identity_binary64_1783`
5×	`add-sqr-sqrt_binary64_1805`
4×	`cancel-sign-sub-inv_binary64_1749` `sum-log_binary64_1874`
3×	`add-cube-cbrt_binary64_1818` `diff-log_binary64_1875`
2×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `distribute-lft-out_binary64_1734` `distribute-lft-out--_binary64_1735` `pow1_binary64_1844`
1×	`flip3--_binary64_1787` `difference-of-squares_binary64_1752` `+-commutative_binary64_1713` `flip-+_binary64_1757` `flip3-+_binary64_1786` `flip--_binary64_1758` `sub-neg_binary64_1776` `associate--r+_binary64_1719`

Counts

2 → 32

Calls

2 calls:

18.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
8.0ms	(+.f64 (*.f64 x y) z)

series115.0ms (0.3%)

Counts

2 → 6

Calls

2 calls:

81.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
33.0ms	(+.f64 (*.f64 x y) z)

simplify119.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5156	667

prune267.0ms (0.7%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	24	14	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	15	39

Merged error: 45.8b

Counts

39 → 15

Compiler

Compiled 1004 to 419 computations (58.3% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 z (*.f64 x y))
9.6b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
9.6b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
9.6b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))

rewrite76.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-log-exp_binary64_1822`
28×	`*-un-lft-identity_binary64_1783`
13×	`add-sqr-sqrt_binary64_1805`
12×	`cancel-sign-sub-inv_binary64_1749`
10×	`sum-log_binary64_1874`
9×	`diff-log_binary64_1875`
7×	`add-cube-cbrt_binary64_1818`
6×	`distribute-lft-out_binary64_1734` `distribute-lft-out--_binary64_1735`
4×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `pow1_binary64_1844`
3×	`flip3--_binary64_1787` `difference-of-squares_binary64_1752` `flip--_binary64_1758` `sub-neg_binary64_1776` `associate--r+_binary64_1719`
1×	`+-commutative_binary64_1713` `flip-+_binary64_1757` `flip3-+_binary64_1786`

Counts

4 → 74

Calls

4 calls:

21.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
16.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
15.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
5.0ms	(+.f64 z (*.f64 x y))

series263.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

74.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
72.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
70.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
46.0ms	(+.f64 z (*.f64 x y))

simplify134.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	5132	1675

prune1.5s (3.8%)

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	74	12	86
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	74	27	101

Merged error: 45.8b

Counts

101 → 27

Compiler

Compiled 4949 to 1932 computations (61% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

9.6b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
9.6b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
9.6b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
9.6b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))

rewrite124.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-log-exp_binary64_1822`
36×	`*-un-lft-identity_binary64_1783`
16×	`add-sqr-sqrt_binary64_1805` `cancel-sign-sub-inv_binary64_1749`
12×	`diff-log_binary64_1875` `sum-log_binary64_1874`
8×	`add-cube-cbrt_binary64_1818` `distribute-lft-out_binary64_1734` `distribute-lft-out--_binary64_1735`
4×	`flip3--_binary64_1787` `add-cbrt-cube_binary64_1819` `difference-of-squares_binary64_1752` `add-exp-log_binary64_1821` `flip--_binary64_1758` `sub-neg_binary64_1776` `associate--r+_binary64_1719` `pow1_binary64_1844`

Counts

4 → 84

Calls

4 calls:

34.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
25.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
16.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
16.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))

series244.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

71.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
63.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
56.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
53.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))

simplify129.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4926	2028
1	4926	2028

prune2.4s (6.2%)

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	89	7	96
Fresh	0	24	24
Picked	0	1	1
Done	0	2	2
Total	89	34	123

Merged error: 45.8b

Counts

123 → 34

Compiler

Compiled 8757 to 3400 computations (61.2% saved)

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

9.6b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
9.6b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
9.6b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
9.6b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))

rewrite108.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-log-exp_binary64_1822`
36×	`*-un-lft-identity_binary64_1783`
16×	`add-sqr-sqrt_binary64_1805` `cancel-sign-sub-inv_binary64_1749`
12×	`diff-log_binary64_1875` `sum-log_binary64_1874`
8×	`add-cube-cbrt_binary64_1818` `distribute-lft-out_binary64_1734` `distribute-lft-out--_binary64_1735`
4×	`flip3--_binary64_1787` `add-cbrt-cube_binary64_1819` `difference-of-squares_binary64_1752` `add-exp-log_binary64_1821` `flip--_binary64_1758` `sub-neg_binary64_1776` `associate--r+_binary64_1719` `pow1_binary64_1844`

Counts

4 → 84

Calls

4 calls:

17.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
17.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
17.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
16.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))

series462.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

143.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
134.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
124.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
60.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))

simplify326.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (251.0ms)

Iter	Nodes	Cost
0	4926	2028
1	4926	2028

prune3.2s (8.2%)

Pruning

41 alts after pruning (37 fresh and 4 done)

	Pruned	Kept	Total
New	89	7	96
Fresh	0	30	30
Picked	0	1	1
Done	0	3	3
Total	89	41	130

Merged error: 45.8b

Counts

130 → 41

Compiler

Compiled 10048 to 3728 computations (62.9% saved)

regimes5.4s (14%)

Compiler: Compiled 45426 to 20617 computations (54.6% saved)

bsearch5.3s (13.7%)

simplify27.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	101	61
1	101	61

end0.0ms (0%)

sample16.4s (42.8%)

Algorithm

1×

intervals

Results

896.0ms	2696×	body	1024	valid
460.0ms	1210×	body	2048	valid
293.0ms	1245×	body	512	valid
189.0ms	2287×	body	128	valid
154.0ms	559×	body	256	valid
1.0ms	3×	body	4096	valid

Compiler

Compiled 11699 to 5314 computations (54.6% saved)

Pareto

0.035660236334977745

Details

analyze1.3s (3.3%)

sample126.0ms (0.3%)

simplify353.0ms (0.9%)

prune20.0ms (0.1%)

localize16.0ms (0%)

rewrite30.0ms (0.1%)

series115.0ms (0.3%)

simplify119.0ms (0.3%)

prune267.0ms (0.7%)

localize21.0ms (0.1%)

rewrite76.0ms (0.2%)

series263.0ms (0.7%)

simplify134.0ms (0.3%)

prune1.5s (3.8%)

localize33.0ms (0.1%)

rewrite124.0ms (0.3%)

series244.0ms (0.6%)

simplify129.0ms (0.3%)

prune2.4s (6.2%)

localize40.0ms (0.1%)

rewrite108.0ms (0.3%)

series462.0ms (1.2%)

simplify326.0ms (0.8%)

prune3.2s (8.2%)

regimes5.4s (14%)

bsearch5.3s (13.7%)

simplify27.0ms (0.1%)

end0.0ms (0%)

sample16.4s (42.8%)

Profiling