Details

analyze942.0ms (17.6%)

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)

sample39.0ms (0.7%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
3.0ms	40×	body	128	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify60.0ms (1.1%)

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

prune3.0ms (0%)

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)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series46.0ms (0.9%)

Counts

2 → 64

Calls

2 calls:

24.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
22.0ms	(/.f64 (-.f64 y x) z)

rewrite32.0ms (0.6%)

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:

13.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
12.0ms	(/.f64 (-.f64 y x) z)

simplify152.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

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

Counts

122 → 74

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

prune80.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	3	75

Error

Counts

75 → 3

Alt Table

Status	Error	Program
▶	0.7b	(+.f64 x (/.f64 (/.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
	31.4b	(/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z))) (-.f64 x (/.f64 (-.f64 y x) z)))

Compiler

Compiled 1077 to 320 computations (70.3% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
✓	0.3b	(/.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
✓	0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
✓	0.6b	(cbrt.f64 z)

series655.0ms (12.2%)

Counts

4 → 96

Calls

4 calls:

452.0ms	(/.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
70.0ms	(/.f64 (/.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
69.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
64.0ms	(cbrt.f64 z)

rewrite66.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

94×	`times-frac_binary64`
75×	`add-sqr-sqrt_binary64`
67×	`*-un-lft-identity_binary64`
49×	`cbrt-prod_binary64`
49×	`add-cube-cbrt_binary64`

Counts

4 → 174

Calls

4 calls:

16.0ms	(/.f64 (/.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
12.0ms	(/.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
8.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)

simplify332.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

596×	`associate-/r/_binary64`
578×	`associate-/l*_binary64`
542×	`div-sub_binary64`
528×	`fma-def_binary64`
216×	`distribute-rgt-in_binary64`

Counts

270 → 275

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	222	4886
1	471	3921
2	1647	3820
3	4036	3701
4	5765	3701

prune299.0ms (5.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	310	1	311
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	311	3	314

Error

Counts

314 → 3

Alt Table

Status	Error	Program
✓	0.7b	(+.f64 x (/.f64 (/.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
▶	12.7b	(+.f64 x (/.f64 (/.f64 (-.f64 y x) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z)))

Compiler

Compiled 6461 to 1845 computations (71.4% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 (-.f64 y x) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))
✓	0.3b	(/.f64 (-.f64 y x) (cbrt.f64 (*.f64 z z)))
	0.6b	(cbrt.f64 z)
✓	26.4b	(cbrt.f64 (*.f64 z z))

series521.0ms (9.7%)

Counts

3 → 84

Calls

3 calls:

421.0ms	(/.f64 (-.f64 y x) (cbrt.f64 (*.f64 z z)))
61.0ms	(/.f64 (/.f64 (-.f64 y x) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))
39.0ms	(cbrt.f64 (*.f64 z z))

rewrite93.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

304×	`times-frac_binary64`
200×	`*-un-lft-identity_binary64`
200×	`add-sqr-sqrt_binary64`
134×	`add-cube-cbrt_binary64`
117×	`cbrt-prod_binary64`

Counts

3 → 249

Calls

3 calls:

20.0ms	(/.f64 (/.f64 (-.f64 y x) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))
16.0ms	(/.f64 (-.f64 y x) (cbrt.f64 (*.f64 z z)))
3.0ms	(cbrt.f64 (*.f64 z z))

simplify259.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

465×	`div-sub_binary64`
463×	`times-frac_binary64`
409×	`fma-def_binary64`
380×	`associate-/l*_binary64`
340×	`associate-/l/_binary64`

Counts

333 → 307

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	321	9183
1	724	8698
2	1900	8604
3	4236	8580
4	5406	8580

prune256.0ms (4.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	325	0	325
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	325	3	328

Error

Counts

328 → 3

Alt Table

Status	Error	Program
✓	0.7b	(+.f64 x (/.f64 (/.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)))
✓	0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
✓	12.7b	(+.f64 x (/.f64 (/.f64 (-.f64 y x) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z)))

Compiler

Compiled 8200 to 1672 computations (79.6% saved)

regimes157.0ms (2.9%)

Accuracy

Total 0.0b remaining (26.6%)

Threshold costs 0.0b (26.6%)

Counts

21 → 1

Compiler

Compiled 1228 to 674 computations (45.1% saved)

simplify8.0ms (0.2%)

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

end1.0ms (0%)

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

sample1.3s (24.5%)

Algorithm

1×

intervals

Results

628.0ms	8000×	body	128	valid
84.0ms	1397×	body	128	invalid

Compiler

Compiled 67 to 41 computations (38.8% 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

analyze942.0ms (17.6%)

sample39.0ms (0.7%)

simplify60.0ms (1.1%)

prune3.0ms (0%)

localize9.0ms (0.2%)

series46.0ms (0.9%)

rewrite32.0ms (0.6%)

simplify152.0ms (2.8%)

prune80.0ms (1.5%)

localize18.0ms (0.3%)

series655.0ms (12.2%)

rewrite66.0ms (1.2%)

simplify332.0ms (6.2%)

prune299.0ms (5.6%)

localize21.0ms (0.4%)

series521.0ms (9.7%)

rewrite93.0ms (1.7%)

simplify259.0ms (4.8%)

prune256.0ms (4.8%)

regimes157.0ms (2.9%)

simplify8.0ms (0.2%)

end1.0ms (0%)

sample1.3s (24.5%)

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