Details

analyze176.0ms (4.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

Compiler

Compiled 25 to 18 computations (28% saved)

sample29.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
5.0ms	258×	pre	128	true
0.0ms	2×	body	128	invalid

Compiler

Compiled 42 to 31 computations (26.2% saved)

simplify126.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1247×	`unsub-neg_binary64`
616×	`neg-sub0_binary64`
571×	`neg-mul-1_binary64`
560×	`fma-neg_binary64`
452×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	46	17
3	116	17
4	358	17
5	1331	17
6	3463	17
7	3625	17
8	4293	17
9	4678	17
10	4650	17
11	4895	17
12	4905	17

prune3.0ms (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

0.1b

Counts

2 → 2

Alt Table

Status	Error	Program
▶	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
	0.2b	(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))

Compiler

Compiled 72 to 52 computations (27.8% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

rewrite283.0ms (7.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

52×	`add-cube-cbrt_binary64`
26×	`pow1_binary64`
22×	`flip3--_binary64`
20×	`add-exp-log_binary64`
20×	`add-sqr-sqrt_binary64`

Counts

3 → 148

Calls

3 calls:

61.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
18.0ms	(*.f64 m (-.f64 1 m))
16.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

Compiler

Compiled 3800 to 2322 computations (38.9% saved)

series61.0ms (1.5%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

25.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
16.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
8.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 907 to 641 computations (29.3% saved)

simplify119.0ms (3%)

Algorithm

1×	egg-herbie

Rules

706×	`fma-neg_binary64`
376×	`cancel-sign-sub-inv_binary64`
249×	`associate-l_binary64`
210×	`associate-r_binary64`
198×	`unswap-sqr_binary64`

Counts

181 → 122

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	205	2740
1	560	2610
2	2576	2454
3	4457	2454
4	4904	2454

prune87.0ms (2.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	119	5	124

Error

Counts

124 → 5

Alt Table

Status	Error	Program
	24.9b	(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
▶	0.1b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1)) (/.f64 (pow.f64 m 3) v))
	0.2b	(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
	0.2b	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) (-.f64 1 m))
	0.3b	(.f64 (.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (cbrt.f64 (-.f64 1 m)) (cbrt.f64 (-.f64 1 m)))) (cbrt.f64 (-.f64 1 m)))

Compiler

Compiled 1923 to 1167 computations (39.3% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1)) (/.f64 (pow.f64 m 3) v))
0.0b	(-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1))
9.9b	(/.f64 (pow.f64 m 3) v)
12.7b	(/.f64 (*.f64 m m) v)

rewrite235.0ms (5.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

54×	`add-cube-cbrt_binary64`
22×	`add-log-exp_binary64`
20×	`add-cbrt-cube_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64`

Counts

4 → 195

Calls

4 calls:

18.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1)) (/.f64 (pow.f64 m 3) v))
15.0ms	(-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1))
15.0ms	(/.f64 (*.f64 m m) v)
14.0ms	(/.f64 (pow.f64 m 3) v)

Compiler

Compiled 6386 to 2696 computations (57.8% saved)

series147.0ms (3.7%)

Error

Counts

4 → 45

Calls

4 calls:

62.0ms	(/.f64 (pow.f64 m 3) v)
31.0ms	(-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1))
28.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1)) (/.f64 (pow.f64 m 3) v))
13.0ms	(/.f64 (*.f64 m m) v)

Compiler

Compiled 1522 to 1019 computations (33% saved)

simplify169.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

797×	`fma-neg_binary64`
450×	`unswap-sqr_binary64`
160×	`associate-r_binary64`
151×	`sub-neg_binary64`
144×	`associate-l_binary64`

Counts

240 → 130

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	240	5047
1	594	4706
2	2838	4389
3	4918	4388
4	5168	4388

prune84.0ms (2.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	130	5	135

Error

Counts

135 → 5

Alt Table

Status	Error	Program
	24.9b	(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
✓	0.1b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1)) (/.f64 (pow.f64 m 3) v))
▶	0.2b	(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
	0.2b	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) (-.f64 1 m))
	0.3b	(.f64 (.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (cbrt.f64 (-.f64 1 m)) (cbrt.f64 (-.f64 1 m)))) (cbrt.f64 (-.f64 1 m)))

Compiler

Compiled 2960 to 1511 computations (49% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 m) v)
0.1b	(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
0.2b	(fma.f64 m (/.f64 (-.f64 1 m) v) -1)

rewrite182.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`add-cube-cbrt_binary64`
19×	`pow1_binary64`
16×	`add-sqr-sqrt_binary64`
15×	`add-cbrt-cube_binary64`
14×	`add-exp-log_binary64`

Counts

3 → 134

Calls

3 calls:

60.0ms	(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
15.0ms	(/.f64 (-.f64 1 m) v)
9.0ms	(fma.f64 m (/.f64 (-.f64 1 m) v) -1)

Compiler

Compiled 2311 to 1615 computations (30.1% saved)

series163.0ms (4.1%)

Error

Counts

3 → 42

Calls

3 calls:

112.0ms	(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
23.0ms	(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
14.0ms	(/.f64 (-.f64 1 m) v)

Compiler

Compiled 1103 to 764 computations (30.7% saved)

simplify110.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

798×	`fma-neg_binary64`
310×	`cancel-sign-sub-inv_binary64`
197×	`distribute-rgt-neg-in_binary64`
190×	`log-prod_binary64`
186×	`associate-l_binary64`

Counts

176 → 91

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	2490
1	488	2176
2	2089	2170
3	4478	2170
4	5139	2170

prune52.0ms (1.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	91	5	96

Error

Counts

96 → 5

Alt Table

Status	Error	Program
	24.9b	(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
✓	0.1b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1)) (/.f64 (pow.f64 m 3) v))
✓	0.2b	(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
▶	0.2b	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) (-.f64 1 m))
	0.3b	(.f64 (.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (cbrt.f64 (-.f64 1 m)) (cbrt.f64 (-.f64 1 m)))) (cbrt.f64 (-.f64 1 m)))

Compiler

Compiled 1207 to 792 computations (34.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 m (*.f64 m m))
0.1b	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) (-.f64 1 m))
0.1b	(/.f64 v (-.f64 m (*.f64 m m)))
0.3b	(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))

rewrite209.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

64×	`add-cube-cbrt_binary64`
24×	`flip3--_binary64`
24×	`add-exp-log_binary64`
23×	`pow1_binary64`
22×	`add-cbrt-cube_binary64`

Counts

4 → 200

Calls

4 calls:

19.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) (-.f64 1 m))
17.0ms	(-.f64 m (*.f64 m m))
15.0ms	(/.f64 v (-.f64 m (*.f64 m m)))
14.0ms	(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))

Compiler

Compiled 4972 to 2175 computations (56.3% saved)

series88.0ms (2.2%)

Error

Counts

4 → 48

Calls

4 calls:

24.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) (-.f64 1 m))
21.0ms	(/.f64 v (-.f64 m (*.f64 m m)))
18.0ms	(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))
7.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 1462 to 1054 computations (27.9% saved)

simplify148.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

793×	`fma-neg_binary64`
449×	`cancel-sign-sub-inv_binary64`
174×	`associate-l_binary64`
172×	`unswap-sqr_binary64`
167×	`associate-r_binary64`

Counts

248 → 149

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	282	4042
1	685	3534
2	2884	3490
3	4809	3486
4	5026	3486

prune84.0ms (2.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	149	5	154

Error

Counts

154 → 5

Alt Table

Status	Error	Program
	24.9b	(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
	0.1b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1)) (/.f64 (pow.f64 m 3) v))
	0.2b	(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
	0.2b	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) (-.f64 1 m))
	0.3b	(.f64 (.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (cbrt.f64 (-.f64 1 m)) (cbrt.f64 (-.f64 1 m)))) (cbrt.f64 (-.f64 1 m)))

Compiler

Compiled 2370 to 1190 computations (49.8% saved)

regimes482.0ms (12%)

Accuracy

Total 0.1b remaining (81.6%)

Threshold costs 0.1b (81.6%)

Compiler

Compiled 8736 to 6238 computations (28.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-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	15	29
1	21	29
2	25	29
3	27	29
4	28	29
5	27	29

end1.0ms (0%)

Compiler: Compiled 22 to 14 computations (36.4% saved)

sample926.0ms (23.1%)

Algorithm

1×

intervals

Results

367.0ms	8000×	body	128	valid
178.0ms	8044×	pre	128	true
2.0ms	44×	body	128	invalid

Compiler

Compiled 138 to 97 computations (29.7% saved)

Details

analyze176.0ms (4.4%)

sample29.0ms (0.7%)

simplify126.0ms (3.1%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite283.0ms (7.1%)

series61.0ms (1.5%)

simplify119.0ms (3%)

prune87.0ms (2.2%)

localize13.0ms (0.3%)

rewrite235.0ms (5.9%)

series147.0ms (3.7%)

simplify169.0ms (4.2%)

prune84.0ms (2.1%)

localize6.0ms (0.2%)

rewrite182.0ms (4.5%)

series163.0ms (4.1%)

simplify110.0ms (2.7%)

prune52.0ms (1.3%)

localize9.0ms (0.2%)

rewrite209.0ms (5.2%)

series88.0ms (2.2%)

simplify148.0ms (3.7%)

prune84.0ms (2.1%)

regimes482.0ms (12%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample926.0ms (23.1%)

Profiling