Details

analyze383.0ms (10.5%)

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)

sample33.0ms (0.9%)

Algorithm

1×

intervals

Results

10.0ms	80×	body	1024	valid
7.0ms	31×	body	2048	valid
4.0ms	46×	body	512	valid
3.0ms	85×	body	128	valid
1.0ms	14×	body	256	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify179.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	475	17
1	475	17

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

Merged error: 42.3b

Counts

2 → 1

Compiler

Compiled 24 to 18 computations (25% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1 (+.f64 (*.f64 x y) z))
8.3b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-log-exp_binary64_1798`
9×	`*-un-lft-identity_binary64_1762`
6×	`sum-log_binary64_1850`
4×	`add-sqr-sqrt_binary64_1783`
3×	`diff-log_binary64_1851`
2×	`distribute-lft-out--_binary64_1716` `distribute-lft-out_binary64_1715` `add-cube-cbrt_binary64_1794` `add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797` `pow1_binary64_1820`
1×	`flip3--_binary64_1766` `flip3-+_binary64_1765` `flip-+_binary64_1736` `associate--r+_binary64_1700` `+-commutative_binary64_1694` `difference-of-squares_binary64_1731` `flip--_binary64_1737` `sub-neg_binary64_1755` `associate-+r+_binary64_1696`

Counts

2 → 31

Calls

2 calls:

9.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
6.0ms	(+.f64 1 (+.f64 (*.f64 x y) z))

series115.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

75.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
40.0ms	(+.f64 1 (+.f64 (*.f64 x y) z))

simplify70.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4924	710
1	4924	710

prune44.0ms (1.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	29	8	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	8	38

Merged error: 41.7b

Counts

38 → 8

Compiler

Compiled 853 to 338 computations (60.4% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (fma.f64 x y z) 1)
8.4b	(-.f64 (-.f64 (fma.f64 x y z) 1) (+.f64 (*.f64 x y) z))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-log-exp_binary64_1798`
10×	`*-un-lft-identity_binary64_1762`
8×	`add-sqr-sqrt_binary64_1783`
7×	`diff-log_binary64_1851`
4×	`flip3--_binary64_1766` `distribute-lft-out--_binary64_1716` `frac-sub_binary64_1771` `flip--_binary64_1737`
3×	`difference-of-squares_binary64_1731` `sub-neg_binary64_1755`
2×	`flip3-+_binary64_1765` `flip-+_binary64_1736` `add-cube-cbrt_binary64_1794` `add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797` `pow1_binary64_1820` `sum-log_binary64_1850`
1×	`difference-of-sqr-1_binary64_1732` `associate--r+_binary64_1700` `associate--l+_binary64_1701` `associate--l-_binary64_1702`

Counts

2 → 39

Calls

2 calls:

11.0ms	(-.f64 (-.f64 (fma.f64 x y z) 1) (+.f64 (*.f64 x y) z))
4.0ms	(-.f64 (fma.f64 x y z) 1)

series107.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

80.0ms	(-.f64 (-.f64 (fma.f64 x y z) 1) (+.f64 (*.f64 x y) z))
27.0ms	(-.f64 (fma.f64 x y z) 1)

simplify69.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4989	1085
1	4989	1085

prune63.0ms (1.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	36	9	45
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	39	14	53

Merged error: 41.4b

Counts

53 → 14

Compiler

Compiled 1373 to 553 computations (59.7% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (fma.f64 x y z) 1)
0.5b	(-.f64 (-.f64 (-.f64 (fma.f64 x y z) 1) (*.f64 x y)) z)
8.5b	(-.f64 (-.f64 (fma.f64 x y z) 1) (*.f64 x y))

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64_1798`
10×	`diff-log_binary64_1851`
9×	`add-sqr-sqrt_binary64_1783`
8×	`*-un-lft-identity_binary64_1762`
6×	`sub-neg_binary64_1755`
4×	`associate--l+_binary64_1701`
3×	`flip3--_binary64_1766` `difference-of-squares_binary64_1731` `flip--_binary64_1737` `add-cube-cbrt_binary64_1794` `add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797` `pow1_binary64_1820`
2×	`distribute-lft-out--_binary64_1716` `associate--l-_binary64_1702`
1×	`difference-of-sqr-1_binary64_1732`

Counts

3 → 47

Calls

3 calls:

10.0ms	(-.f64 (-.f64 (-.f64 (fma.f64 x y z) 1) (*.f64 x y)) z)
8.0ms	(-.f64 (-.f64 (fma.f64 x y z) 1) (*.f64 x y))
4.0ms	(-.f64 (fma.f64 x y z) 1)

series161.0ms (4.4%)

Counts

3 → 9

Calls

3 calls:

75.0ms	(-.f64 (-.f64 (-.f64 (fma.f64 x y z) 1) (*.f64 x y)) z)
60.0ms	(-.f64 (-.f64 (fma.f64 x y z) 1) (*.f64 x y))
26.0ms	(-.f64 (fma.f64 x y z) 1)

simplify81.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4946	1029
1	4946	1029

prune69.0ms (1.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	51	5	56
Fresh	1	12	13
Picked	1	0	1
Done	0	0	0
Total	53	17	70

Merged error: 41.4b

Counts

70 → 17

Compiler

Compiled 1539 to 698 computations (54.6% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(-.f64 (-.f64 (-.f64 (fma.f64 x y z) 1) (*.f64 x y)) z)
8.5b	(-.f64 (-.f64 (fma.f64 x y z) 1) (*.f64 x y))
8.5b	(-.f64 (-.f64 (fma.f64 x y z) 1) (*.f64 x y))
8.5b	(-.f64 (-.f64 (fma.f64 x y z) 1) (*.f64 x y))

rewrite42.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-log-exp_binary64_1798`
15×	`diff-log_binary64_1851`
9×	`sub-neg_binary64_1755`
6×	`add-sqr-sqrt_binary64_1783` `*-un-lft-identity_binary64_1762` `associate--l+_binary64_1701`
4×	`flip3--_binary64_1766` `flip--_binary64_1737` `add-cube-cbrt_binary64_1794` `add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797` `pow1_binary64_1820` `associate--l-_binary64_1702`
1×	`distribute-lft-out--_binary64_1716` `difference-of-squares_binary64_1731`

Counts

4 → 60

Calls

4 calls:

10.0ms	(-.f64 (-.f64 (-.f64 (fma.f64 x y z) 1) (*.f64 x y)) z)
8.0ms	(-.f64 (-.f64 (fma.f64 x y z) 1) (*.f64 x y))
8.0ms	(-.f64 (-.f64 (fma.f64 x y z) 1) (*.f64 x y))
8.0ms	(-.f64 (-.f64 (fma.f64 x y z) 1) (*.f64 x y))

series250.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

79.0ms	(-.f64 (-.f64 (-.f64 (fma.f64 x y z) 1) (*.f64 x y)) z)
60.0ms	(-.f64 (-.f64 (fma.f64 x y z) 1) (*.f64 x y))
56.0ms	(-.f64 (-.f64 (fma.f64 x y z) 1) (*.f64 x y))
55.0ms	(-.f64 (-.f64 (fma.f64 x y z) 1) (*.f64 x y))

simplify53.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4951	1441
1	4951	1441

prune115.0ms (3.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	16	16
Picked	1	0	1
Done	0	0	0
Total	72	17	89

Merged error: 41.4b

Counts

89 → 17

Compiler

Compiled 3410 to 1455 computations (57.3% saved)

regimes210.0ms (5.8%)

Compiler: Compiled 3062 to 1764 computations (42.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	17
1	63	17

end0.0ms (0%)

sample1.5s (40.9%)

Algorithm

1×

intervals

Results

341.0ms	2659×	body	1024	valid
185.0ms	1199×	body	2048	valid
120.0ms	1253×	body	512	valid
80.0ms	2326×	body	128	valid
36.0ms	562×	body	256	valid
0.0ms	1×	body	4096	valid

Compiler

Compiled 784 to 458 computations (41.6% saved)

Details

analyze383.0ms (10.5%)

sample33.0ms (0.9%)

simplify179.0ms (4.9%)

prune2.0ms (0.1%)

localize11.0ms (0.3%)

rewrite18.0ms (0.5%)

series115.0ms (3.2%)

simplify70.0ms (1.9%)

prune44.0ms (1.2%)

localize8.0ms (0.2%)

rewrite19.0ms (0.5%)

series107.0ms (2.9%)

simplify69.0ms (1.9%)

prune63.0ms (1.7%)

localize8.0ms (0.2%)

rewrite26.0ms (0.7%)

series161.0ms (4.4%)

simplify81.0ms (2.2%)

prune69.0ms (1.9%)

localize12.0ms (0.3%)

rewrite42.0ms (1.2%)

series250.0ms (6.9%)

simplify53.0ms (1.5%)

prune115.0ms (3.2%)

regimes210.0ms (5.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.5s (40.9%)

Profiling