Details

analyze606.0ms (32.2%)

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
31.2%	68.6%	0.1%	7
40.6%	59.3%	0.1%	8
43.7%	56.2%	0.1%	9
56.6%	43.3%	0.1%	10
61%	37.3%	1.7%	11
62.1%	34.8%	3.1%	12
68.6%	25.6%	5.8%	13
70.6%	22.1%	7.4%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample20.0ms (1%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	38×	body	128	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify31.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

377×	`fma-neg_binary64`
309×	`fma-def_binary64`
112×	`cancel-sign-sub-inv_binary64`
77×	`distribute-rgt-in_binary64`
56×	`unsub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	24	10
3	42	10
4	80	10
5	138	10
6	302	10
7	420	10
8	581	10
9	647	10
10	718	10
11	740	10
12	744	10
13	699	10

prune2.0ms (0.1%)

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 → 1

Alt Table

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

Compiler

Compiled 30 to 18 computations (40% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
✓	0.0b	(/.f64 (-.f64 y x) z)

series25.0ms (1.3%)

Counts

2 → 64

Calls

2 calls:

12.0ms	(/.f64 (-.f64 y x) z)
12.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

rewrite14.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64`
21×	`add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
5×	`associate-/l*_binary64`

Counts

2 → 58

Calls

2 calls:

7.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
5.0ms	(/.f64 (-.f64 y x) z)

simplify99.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

712×	`fma-neg_binary64`
598×	`times-frac_binary64`
572×	`associate-/l*_binary64`
274×	`div-sub_binary64`
243×	`distribute-rgt-in_binary64`

Counts

122 → 81

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	1378
1	273	1269
2	636	1260
3	1893	1260
4	4435	1260
5	5003	1260

prune35.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	2	82

Error

Counts

82 → 2

Alt Table

Status	Error	Program
▶	23.5b	(+.f64 x (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (*.f64 z (+.f64 y x))))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))

Compiler

Compiled 1123 to 320 computations (71.5% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (*.f64 z (+.f64 y x))))
✓	0.0b	(*.f64 z (+.f64 y x))
✓	1.6b	(-.f64 (.f64 y y) (.f64 x x))
✓	25.8b	(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (*.f64 z (+.f64 y x)))

series155.0ms (8.2%)

Counts

4 → 120

Calls

4 calls:

109.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (*.f64 z (+.f64 y x))))
33.0ms	(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (*.f64 z (+.f64 y x)))
7.0ms	(-.f64 (.f64 y y) (.f64 x x))
6.0ms	(*.f64 z (+.f64 y x))

rewrite25.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`add-cbrt-cube_binary64`
11×	`add-exp-log_binary64`
9×	`add-cube-cbrt_binary64`

Counts

4 → 90

Calls

4 calls:

7.0ms	(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (*.f64 z (+.f64 y x)))
6.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (*.f64 z (+.f64 y x))))
4.0ms	(*.f64 z (+.f64 y x))
3.0ms	(-.f64 (.f64 y y) (.f64 x x))

simplify105.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

644×	`distribute-rgt-in_binary64`
623×	`distribute-lft-in_binary64`
498×	`fma-def_binary64`
134×	`fma-neg_binary64`
122×	`cancel-sign-sub-inv_binary64`

Counts

210 → 168

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	3064
1	437	2851
2	1639	2177
3	4822	2176
4	4962	2176

prune85.0ms (4.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	168	2	170

Error

Counts

170 → 2

Alt Table

Status	Error	Program
✓	23.5b	(+.f64 x (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (*.f64 z (+.f64 y x))))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))

Compiler

Compiled 3385 to 743 computations (78.1% saved)

regimes53.0ms (2.8%)

Accuracy

Total 0.0b remaining (16.1%)

Threshold costs 0.0b (16.1%)

Counts

12 → 1

Compiler

Compiled 724 to 402 computations (44.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10
2	15	10
3	17	10
4	18	10
5	18	10

end0.0ms (0%)

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

sample615.0ms (32.6%)

Algorithm

1×

intervals

Results

275.0ms	8000×	body	128	valid
38.0ms	1269×	body	128	invalid

Compiler

Compiled 52 to 32 computations (38.5% saved)

Iter	Nodes	Cost
0	7	10
1	13	10
2	24	10
3	42	10
4	80	10
5	138	10
6	302	10
7	420	10
8	581	10
9	647	10
10	718	10
11	740	10
12	744	10
13	699	10

Iter	Nodes	Cost
0	7	10
1	13	10
2	24	10
3	42	10
4	80	10
5	138	10
6	302	10
7	420	10
8	581	10
9	647	10
10	718	10
11	740	10
12	744	10
13	699	10

Details

analyze606.0ms (32.2%)

sample20.0ms (1%)

simplify31.0ms (1.6%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

series25.0ms (1.3%)

rewrite14.0ms (0.7%)

simplify99.0ms (5.2%)

prune35.0ms (1.9%)

localize9.0ms (0.5%)

series155.0ms (8.2%)

rewrite25.0ms (1.3%)

simplify105.0ms (5.6%)

prune85.0ms (4.5%)

regimes53.0ms (2.8%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample615.0ms (32.6%)

Profiling

Iter	Nodes	Cost
0	7	10
1	13	10
2	24	10
3	42	10
4	80	10
5	138	10
6	302	10
7	420	10
8	581	10
9	647	10
10	718	10
11	740	10
12	744	10
13	699	10