Details

analyze368.0ms (25.3%)

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
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)

sample17.0ms (1.2%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	15×	body	128	invalid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify24.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

52×	`cancel-sign-sub-inv_binary64`
45×	`distribute-rgt-in_binary64`
45×	`sub-neg_binary64`
43×	`associate--r+_binary64`
28×	`unsub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	16	13
2	26	13
3	42	13
4	87	12
5	122	10
6	168	10
7	291	10
8	345	10
9	353	10
10	344	10
11	301	10

prune4.0ms (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 z (*.f64 x (-.f64 y z)))
	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

Compiler

Compiled 54 to 34 computations (37% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite40.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`cancel-sign-sub-inv_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64`
8×	`associate-+r+_binary64`
8×	`distribute-lft-in_binary64`

Counts

2 → 49

Calls

2 calls:

8.0ms	(*.f64 x (-.f64 y z))
4.0ms	(+.f64 z (*.f64 x (-.f64 y z)))

Compiler

Compiled 658 to 182 computations (72.3% saved)

series64.0ms (4.4%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

27.0ms	(+.f64 z (*.f64 x (-.f64 y z)))
25.0ms	(*.f64 x (-.f64 y z))

Compiler

Compiled 622 to 358 computations (42.4% saved)

simplify84.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

577×	`neg-mul-1_binary64`
444×	`distribute-rgt-in_binary64`
431×	`distribute-lft-in_binary64`
313×	`distribute-rgt-neg-out_binary64`
287×	`distribute-lft-neg-out_binary64`

Counts

82 → 46

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	100	785
1	248	764
2	767	764
3	2427	764
4	4336	764
5	5336	764

prune14.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	46	2	48

Error

0.0b

Counts

48 → 2

Alt Table

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

Compiler

Compiled 258 to 102 computations (60.5% saved)

localize8.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

rewrite35.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

2 → 34

Calls

2 calls:

7.0ms	(*.f64 (-.f64 1 x) z)
4.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

Compiler

Compiled 541 to 298 computations (44.9% saved)

series50.0ms (3.5%)

Error

0.0b

Counts

2 → 27

Calls

2 calls:

29.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
13.0ms	(*.f64 (-.f64 1 x) z)

Compiler

Compiled 544 to 315 computations (42.1% saved)

simplify83.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

688×	`neg-sub0_binary64`
613×	`neg-mul-1_binary64`
489×	`distribute-rgt-neg-out_binary64`
472×	`associate-l_binary64`
405×	`distribute-lft-neg-out_binary64`

Counts

61 → 46

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	699
1	220	615
2	617	615
3	2295	610
4	4150	610
5	5454	610

prune18.0ms (1.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	46	2	48

Error

0.0b

Counts

48 → 2

Alt Table

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

Compiler

Compiled 400 to 146 computations (63.5% saved)

regimes71.0ms (4.9%)

Accuracy

Total 0.0b remaining (58.7%)

Threshold costs 0.0b (58.7%)

Compiler

Compiled 480 to 318 computations (33.8% saved)

simplify3.0ms (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

end1.0ms (0%)

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

sample566.0ms (38.9%)

Algorithm

1×

intervals

Results

224.0ms	8000×	body	128	valid
22.0ms	696×	body	128	invalid

Compiler

Compiled 48 to 32 computations (33.3% saved)

Iter	Nodes	Cost
0	9	13
1	16	13
2	26	13
3	42	13
4	87	12
5	122	10
6	168	10
7	291	10
8	345	10
9	353	10
10	344	10
11	301	10

Iter	Nodes	Cost
0	9	13
1	16	13
2	26	13
3	42	13
4	87	12
5	122	10
6	168	10
7	291	10
8	345	10
9	353	10
10	344	10
11	301	10

Details

analyze368.0ms (25.3%)

sample17.0ms (1.2%)

simplify24.0ms (1.6%)

prune4.0ms (0.3%)

localize5.0ms (0.3%)

rewrite40.0ms (2.8%)

series64.0ms (4.4%)

simplify84.0ms (5.8%)

prune14.0ms (0.9%)

localize8.0ms (0.6%)

rewrite35.0ms (2.4%)

series50.0ms (3.5%)

simplify83.0ms (5.7%)

prune18.0ms (1.2%)

regimes71.0ms (4.9%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample566.0ms (38.9%)

Profiling

Iter	Nodes	Cost
0	9	13
1	16	13
2	26	13
3	42	13
4	87	12
5	122	10
6	168	10
7	291	10
8	345	10
9	353	10
10	344	10
11	301	10