Details

analyze384.0ms (12%)

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 (1%)

Algorithm

1×

intervals

Results

12.0ms	102×	body	1024	valid
4.0ms	28×	body	2048	valid
4.0ms	39×	body	512	valid
3.0ms	20×	body	256	valid
2.0ms	67×	body	128	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify115.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	504	17
1	504	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: 46.6b

Counts

2 → 1

Compiler

Compiled 24 to 18 computations (25% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
9.3b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-log-exp_binary64_1140`
10×	`*-un-lft-identity_binary64_1101`
5×	`add-sqr-sqrt_binary64_1123`
4×	`sum-log_binary64_1192` `cancel-sign-sub-inv_binary64_1067`
3×	`diff-log_binary64_1193` `add-cube-cbrt_binary64_1136`
2×	`distribute-lft-out_binary64_1052` `add-exp-log_binary64_1139` `pow1_binary64_1162` `distribute-lft-out--_binary64_1053` `add-cbrt-cube_binary64_1137`
1×	`associate--r+_binary64_1037` `difference-of-squares_binary64_1070` `sub-neg_binary64_1094` `flip--_binary64_1076` `flip3--_binary64_1105` `flip3-+_binary64_1104` `+-commutative_binary64_1031` `flip-+_binary64_1075`

Counts

2 → 32

Calls

2 calls:

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

series66.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

46.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
20.0ms	(+.f64 (*.f64 x y) z)

simplify61.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5156	667

prune44.0ms (1.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	30	8	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	8	39

Merged error: 46.1b

Counts

39 → 8

Compiler

Compiled 833 to 321 computations (61.5% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
9.3b	(-.f64 (+.f64 (fma.f64 x y z) -1) (+.f64 (*.f64 x y) z))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-log-exp_binary64_1140`
8×	`*-un-lft-identity_binary64_1101`
5×	`add-sqr-sqrt_binary64_1123` `sum-log_binary64_1192` `flip3-+_binary64_1104` `flip-+_binary64_1075`
4×	`diff-log_binary64_1193` `frac-sub_binary64_1110`
3×	`add-cube-cbrt_binary64_1136` `cancel-sign-sub-inv_binary64_1067`
2×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `distribute-lft-out--_binary64_1053` `add-cbrt-cube_binary64_1137`
1×	`associate--r+_binary64_1037` `difference-of-squares_binary64_1070` `distribute-lft-out_binary64_1052` `sub-neg_binary64_1094` `associate--l+_binary64_1038` `flip--_binary64_1076` `flip3--_binary64_1105` `+-commutative_binary64_1031`

Counts

2 → 37

Calls

2 calls:

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

series59.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

39.0ms	(-.f64 (+.f64 (fma.f64 x y z) -1) (+.f64 (*.f64 x y) z))
20.0ms	(+.f64 (*.f64 x y) z)

simplify33.0ms (1%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5157	1024

prune48.0ms (1.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	40	11	51

Merged error: 45.9b

Counts

51 → 11

Compiler

Compiled 1200 to 446 computations (62.8% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.9b	(-.f64 (-.f64 (+.f64 (fma.f64 x y z) -1) (*.f64 x y)) z)
8.6b	(-.f64 (+.f64 (fma.f64 x y z) -1) (*.f64 x y))

rewrite20.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-log-exp_binary64_1140`
7×	`diff-log_binary64_1193`
5×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `associate--l+_binary64_1038` `cancel-sign-sub-inv_binary64_1067`
3×	`sub-neg_binary64_1094` `add-cube-cbrt_binary64_1136`
2×	`sum-log_binary64_1192` `add-exp-log_binary64_1139` `pow1_binary64_1162` `flip--_binary64_1076` `flip3--_binary64_1105` `add-cbrt-cube_binary64_1137`
1×	`difference-of-squares_binary64_1070` `distribute-lft-out--_binary64_1053` `associate--l-_binary64_1039`

Counts

2 → 36

Calls

2 calls:

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

series67.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

36.0ms	(-.f64 (-.f64 (+.f64 (fma.f64 x y z) -1) (*.f64 x y)) z)
31.0ms	(-.f64 (+.f64 (fma.f64 x y z) -1) (*.f64 x y))

simplify53.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5353	808

prune58.0ms (1.8%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	32	10	42
Fresh	2	7	9
Picked	1	0	1
Done	0	1	1
Total	35	18	53

Merged error: 45.6b

Counts

53 → 18

Compiler

Compiled 1266 to 577 computations (54.4% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.9b	(-.f64 (-.f64 (+.f64 (fma.f64 x y z) -1) (*.f64 x y)) z)
8.6b	(-.f64 (+.f64 (fma.f64 x y z) -1) (*.f64 x y))
8.6b	(-.f64 (+.f64 (fma.f64 x y z) -1) (*.f64 x y))
8.6b	(-.f64 (+.f64 (fma.f64 x y z) -1) (*.f64 x y))

rewrite39.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-log-exp_binary64_1140`
11×	`diff-log_binary64_1193`
7×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `associate--l+_binary64_1038` `cancel-sign-sub-inv_binary64_1067`
5×	`sub-neg_binary64_1094` `add-cube-cbrt_binary64_1136`
4×	`sum-log_binary64_1192` `add-exp-log_binary64_1139` `pow1_binary64_1162` `flip--_binary64_1076` `flip3--_binary64_1105` `add-cbrt-cube_binary64_1137`
1×	`difference-of-squares_binary64_1070` `distribute-lft-out--_binary64_1053` `associate--l-_binary64_1039`

Counts

4 → 64

Calls

4 calls:

12.0ms	(-.f64 (-.f64 (+.f64 (fma.f64 x y z) -1) (*.f64 x y)) z)
7.0ms	(-.f64 (+.f64 (fma.f64 x y z) -1) (*.f64 x y))
6.0ms	(-.f64 (+.f64 (fma.f64 x y z) -1) (*.f64 x y))
6.0ms	(-.f64 (+.f64 (fma.f64 x y z) -1) (*.f64 x y))

series120.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

36.0ms	(-.f64 (-.f64 (+.f64 (fma.f64 x y z) -1) (*.f64 x y)) z)
29.0ms	(-.f64 (+.f64 (fma.f64 x y z) -1) (*.f64 x y))
28.0ms	(-.f64 (+.f64 (fma.f64 x y z) -1) (*.f64 x y))
27.0ms	(-.f64 (+.f64 (fma.f64 x y z) -1) (*.f64 x y))

simplify64.0ms (2%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5353	1456

prune118.0ms (3.7%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	16	16
Picked	0	1	1
Done	0	1	1
Total	75	19	94

Merged error: 45.6b

Counts

94 → 19

Compiler

Compiled 3581 to 1522 computations (57.5% saved)

regimes205.0ms (6.4%)

Compiler: Compiled 3230 to 1824 computations (43.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	61
1	49	61

end0.0ms (0%)

sample1.5s (48%)

Algorithm

1×

intervals

Results

336.0ms	2755×	body	1024	valid
185.0ms	1210×	body	2048	valid
114.0ms	1260×	body	512	valid
76.0ms	2219×	body	128	valid
38.0ms	555×	body	256	valid
0.0ms	1×	body	4096	valid

Compiler

Compiled 855 to 486 computations (43.2% saved)

Details

analyze384.0ms (12%)

sample33.0ms (1%)

simplify115.0ms (3.6%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite16.0ms (0.5%)

series66.0ms (2.1%)

simplify61.0ms (1.9%)

prune44.0ms (1.4%)

localize8.0ms (0.2%)

rewrite17.0ms (0.5%)

series59.0ms (1.8%)

simplify33.0ms (1%)

prune48.0ms (1.5%)

localize8.0ms (0.2%)

rewrite20.0ms (0.6%)

series67.0ms (2.1%)

simplify53.0ms (1.7%)

prune58.0ms (1.8%)

localize12.0ms (0.4%)

rewrite39.0ms (1.2%)

series120.0ms (3.7%)

simplify64.0ms (2%)

prune118.0ms (3.7%)

regimes205.0ms (6.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.5s (48%)

Profiling