Details

analyze483.0ms (20.9%)

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample20.0ms (0.9%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	19×	body	128	invalid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify26.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

95×	`cancel-sign-sub-inv_binary64`
50×	`sub-neg_binary64`
42×	`distribute-rgt-neg-in_binary64`
39×	`associate--r+_binary64`
38×	`distribute-rgt-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	17	13
2	24	13
3	31	10
4	39	10
5	56	10
6	87	10
7	146	10
8	266	10
9	353	10
10	344	10
11	344	10
12	301	10

prune6.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 2

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)
	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

Compiler

Compiled 54 to 34 computations (37% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite28.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`*-un-lft-identity_binary64`
7×	`add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64`
4×	`associate-r_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 39

Calls

2 calls:

5.0ms	(-.f64 (*.f64 x (+.f64 y z)) z)
4.0ms	(*.f64 x (+.f64 y z))

Compiler

Compiled 505 to 144 computations (71.5% saved)

series46.0ms (2%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

21.0ms	(-.f64 (*.f64 x (+.f64 y z)) z)
18.0ms	(*.f64 x (+.f64 y z))

Compiler

Compiled 586 to 344 computations (41.3% saved)

simplify79.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

457×	`associate-l_binary64`
383×	`associate-r_binary64`
368×	`distribute-rgt-in_binary64`
367×	`distribute-lft-in_binary64`
323×	`neg-sub0_binary64`

Counts

72 → 44

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	682
1	209	661
2	601	655
3	2199	655
4	4143	655
5	5131	655

prune14.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	42	4	46

Error

Counts

46 → 4

Alt Table

Status	Error	Program
	29.0b	(-.f64 (.f64 (sqrt.f64 (.f64 (+.f64 y z) x)) (sqrt.f64 (*.f64 (+.f64 y z) x))) z)
✓	0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)
	33.8b	(-.f64 (.f64 (sqrt.f64 x) (.f64 (+.f64 y z) (sqrt.f64 x))) z)
▶	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

Compiler

Compiled 379 to 128 computations (66.2% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite26.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-sqr-sqrt_binary64`
7×	`associate-l_binary64`
7×	`*-un-lft-identity_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 35

Calls

2 calls:

5.0ms	(*.f64 (-.f64 x 1) z)
3.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

Compiler

Compiled 541 to 298 computations (44.9% saved)

series35.0ms (1.5%)

Error

Counts

2 → 27

Calls

2 calls:

21.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
10.0ms	(*.f64 (-.f64 x 1) z)

Compiler

Compiled 528 to 311 computations (41.1% saved)

simplify79.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

654×	`associate-+l+_binary64`
332×	`associate-l_binary64`
303×	`neg-mul-1_binary64`
262×	`distribute-rgt-in_binary64`
247×	`distribute-lft-in_binary64`

Counts

62 → 50

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	681
1	200	624
2	593	624
3	1895	615
4	4601	615
5	5077	615

prune18.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	50	4	54

Error

Counts

54 → 4

Alt Table

Status	Error	Program
▶	29.0b	(-.f64 (.f64 (sqrt.f64 (.f64 (+.f64 y z) x)) (sqrt.f64 (*.f64 (+.f64 y z) x))) z)
✓	0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)
	33.8b	(-.f64 (.f64 (sqrt.f64 x) (.f64 (+.f64 y z) (sqrt.f64 x))) z)
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

Compiler

Compiled 513 to 194 computations (62.2% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 y z) x)
0.3b	(.f64 (sqrt.f64 (.f64 (+.f64 y z) x)) (sqrt.f64 (*.f64 (+.f64 y z) x)))
2.5b	(sqrt.f64 (*.f64 (+.f64 y z) x))
2.5b	(sqrt.f64 (*.f64 (+.f64 y z) x))

rewrite70.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

61×	`pow1_binary64`
32×	`sqrt-pow1_binary64`
23×	`pow-prod-down_binary64`
20×	`associate-*l/_binary64`
16×	`sqrt-div_binary64`

Counts

4 → 104

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (.f64 (+.f64 y z) x)) (sqrt.f64 (*.f64 (+.f64 y z) x)))
4.0ms	(*.f64 (+.f64 y z) x)
3.0ms	(sqrt.f64 (*.f64 (+.f64 y z) x))
3.0ms	(sqrt.f64 (*.f64 (+.f64 y z) x))

Compiler

Compiled 1901 to 419 computations (78% saved)

series98.0ms (4.3%)

Error

Counts

4 → 52

Calls

4 calls:

29.0ms	(sqrt.f64 (*.f64 (+.f64 y z) x))
23.0ms	(.f64 (sqrt.f64 (.f64 (+.f64 y z) x)) (sqrt.f64 (*.f64 (+.f64 y z) x)))
21.0ms	(sqrt.f64 (*.f64 (+.f64 y z) x))
18.0ms	(*.f64 (+.f64 y z) x)

Compiler

Compiled 2133 to 1270 computations (40.5% saved)

simplify135.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

461×	`unswap-sqr_binary64`
365×	`sqr-pow_binary64`
286×	`distribute-rgt-in_binary64`
279×	`distribute-lft-in_binary64`
248×	`*-commutative_binary64`

Counts

156 → 134

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	119	1684
1	235	1608
2	795	1594
3	1837	1555
4	3160	1456
5	4131	1456
6	4925	1456
7	4905	1456

prune30.0ms (1.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	134	4	138

Error

Counts

138 → 4

Alt Table

Status	Error	Program
✓	29.0b	(-.f64 (.f64 (sqrt.f64 (.f64 (+.f64 y z) x)) (sqrt.f64 (*.f64 (+.f64 y z) x))) z)
✓	0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)
▶	33.8b	(-.f64 (.f64 (sqrt.f64 x) (.f64 (+.f64 y z) (sqrt.f64 x))) z)
✓	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

Compiler

Compiled 1255 to 349 computations (72.2% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (sqrt.f64 x) (.f64 (+.f64 y z) (sqrt.f64 x))) z)
0.1b	(*.f64 (+.f64 y z) (sqrt.f64 x))
0.1b	(.f64 (sqrt.f64 x) (.f64 (+.f64 y z) (sqrt.f64 x)))

rewrite41.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
10×	`associate-l_binary64`
10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`

Counts

3 → 62

Calls

3 calls:

8.0ms	(-.f64 (.f64 (sqrt.f64 x) (.f64 (+.f64 y z) (sqrt.f64 x))) z)
7.0ms	(.f64 (sqrt.f64 x) (.f64 (+.f64 y z) (sqrt.f64 x)))
6.0ms	(*.f64 (+.f64 y z) (sqrt.f64 x))

Compiler

Compiled 1052 to 230 computations (78.1% saved)

series61.0ms (2.7%)

Error

Counts

3 → 47

Calls

3 calls:

21.0ms	(-.f64 (.f64 (sqrt.f64 x) (.f64 (+.f64 y z) (sqrt.f64 x))) z)
20.0ms	(*.f64 (+.f64 y z) (sqrt.f64 x))
16.0ms	(.f64 (sqrt.f64 x) (.f64 (+.f64 y z) (sqrt.f64 x)))

Compiler

Compiled 1090 to 643 computations (41% saved)

simplify85.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

582×	`associate-+l+_binary64`
535×	`associate-+r+_binary64`
416×	`distribute-rgt-in_binary64`
414×	`distribute-lft-in_binary64`
211×	`*-commutative_binary64`

Counts

109 → 71

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	1344
1	281	1091
2	804	1085
3	2107	1085
4	4945	1085
5	4940	1085

prune15.0ms (0.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	71	4	75

Error

Counts

75 → 4

Alt Table

Status	Error	Program
	29.0b	(-.f64 (.f64 (sqrt.f64 (.f64 (+.f64 y z) x)) (sqrt.f64 (*.f64 (+.f64 y z) x))) z)
	0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)
	33.8b	(-.f64 (.f64 (sqrt.f64 x) (.f64 (+.f64 y z) (sqrt.f64 x))) z)
	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

Compiler

Compiled 564 to 173 computations (69.3% saved)

regimes98.0ms (4.2%)

Accuracy

Total 0.0b remaining (68.3%)

Threshold costs 0.0b (68.3%)

Compiler

Compiled 972 to 618 computations (36.4% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	16	10
3	18	10
4	19	10
5	19	10

end0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

sample784.0ms (34%)

Algorithm

1×

intervals

Results

400.0ms	8000×	body	128	valid
25.0ms	702×	body	128	invalid

Compiler

Compiled 80 to 48 computations (40% saved)

Iter	Nodes	Cost
0	9	13
1	17	13
2	24	13
3	31	10
4	39	10
5	56	10
6	87	10
7	146	10
8	266	10
9	353	10
10	344	10
11	344	10
12	301	10

Iter	Nodes	Cost
0	9	13
1	17	13
2	24	13
3	31	10
4	39	10
5	56	10
6	87	10
7	146	10
8	266	10
9	353	10
10	344	10
11	344	10
12	301	10

Details

analyze483.0ms (20.9%)

sample20.0ms (0.9%)

simplify26.0ms (1.1%)

prune6.0ms (0.3%)

localize5.0ms (0.2%)

rewrite28.0ms (1.2%)

series46.0ms (2%)

simplify79.0ms (3.4%)

prune14.0ms (0.6%)

localize6.0ms (0.3%)

rewrite26.0ms (1.1%)

series35.0ms (1.5%)

simplify79.0ms (3.4%)

prune18.0ms (0.8%)

localize7.0ms (0.3%)

rewrite70.0ms (3%)

series98.0ms (4.3%)

simplify135.0ms (5.8%)

prune30.0ms (1.3%)

localize7.0ms (0.3%)

rewrite41.0ms (1.8%)

series61.0ms (2.7%)

simplify85.0ms (3.7%)

prune15.0ms (0.6%)

regimes98.0ms (4.2%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample784.0ms (34%)

Profiling

Iter	Nodes	Cost
0	9	13
1	17	13
2	24	13
3	31	10
4	39	10
5	56	10
6	87	10
7	146	10
8	266	10
9	353	10
10	344	10
11	344	10
12	301	10