Details

analyze198.0ms (3%)

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)

sample33.0ms (0.5%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
6.0ms	257×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 42 to 31 computations (26.2% saved)

simplify147.0ms (2.2%)

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 → 2

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

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

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

Compiler

Compiled 85 to 61 computations (28.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 m (-.f64 1 m))
✓	0.0b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
✓	0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)

rewrite45.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`add-sqr-sqrt_binary64`
46×	`*-un-lft-identity_binary64`
37×	`add-cube-cbrt_binary64`
36×	`prod-diff_binary64`
26×	`distribute-lft-in_binary64`

Counts

3 → 137

Calls

3 calls:

13.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
11.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
11.0ms	(*.f64 m (-.f64 1 m))

series79.0ms (1.2%)

Counts

3 → 56

Calls

3 calls:

49.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
23.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
7.0ms	(*.f64 m (-.f64 1 m))

simplify207.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

806×	`distribute-rgt-in_binary64`
733×	`distribute-lft-in_binary64`
365×	`fma-neg_binary64`
242×	`associate-l_binary64`
194×	`associate-r_binary64`

Counts

193 → 366

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	3683
1	464	3476
2	1999	3134
3	4909	3134
4	5060	3134

prune322.0ms (4.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	362	4	366
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	364	4	368

Error

Counts

368 → 4

Alt Table

Status	Error	Program
	0.2b	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) (-.f64 1 m))
	0.3b	(.f64 (-.f64 (.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1) (-.f64 1 m))
	27.6b	(/.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)) 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))

Compiler

Compiled 5338 to 3225 computations (39.6% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 2 (/.f64 (*.f64 m m) v) 1)
✓	0.0b	(+.f64 m (/.f64 m v))
✓	9.6b	(/.f64 (pow.f64 m 3) v)
✓	13.4b	(/.f64 (*.f64 m m) v)

rewrite36.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`times-frac_binary64`
34×	`*-un-lft-identity_binary64`
32×	`add-sqr-sqrt_binary64`
32×	`add-cube-cbrt_binary64`
14×	`add-exp-log_binary64`

Counts

4 → 117

Calls

4 calls:

9.0ms	(+.f64 m (/.f64 m v))
8.0ms	(/.f64 (pow.f64 m 3) v)
7.0ms	(/.f64 (*.f64 m m) v)
1.0ms	(fma.f64 2 (/.f64 (*.f64 m m) v) 1)

series236.0ms (3.6%)

Counts

4 → 72

Calls

4 calls:

77.0ms	(/.f64 (pow.f64 m 3) v)
67.0ms	(/.f64 (*.f64 m m) v)
52.0ms	(fma.f64 2 (/.f64 (*.f64 m m) v) 1)
40.0ms	(+.f64 m (/.f64 m v))

simplify217.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

643×	`associate-/l/_binary64`
617×	`fma-def_binary64`
537×	`associate-/r*_binary64`
458×	`associate-/r/_binary64`
389×	`unswap-sqr_binary64`

Counts

189 → 316

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	2079
1	289	1965
2	1234	1913
3	4730	1913
4	5235	1913

prune242.0ms (3.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	316	0	316
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	316	4	320

Error

Counts

320 → 4

Alt Table

Status	Error	Program
▶	0.2b	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) (-.f64 1 m))
	0.3b	(.f64 (-.f64 (.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1) (-.f64 1 m))
	27.6b	(/.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)) 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))

Compiler

Compiled 3702 to 1603 computations (56.7% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 m (-.f64 1 m))
✓	0.0b	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) (-.f64 1 m))
✓	0.3b	(.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v))

rewrite80.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
26×	`add-exp-log_binary64`
25×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`

Counts

2 → 101

Calls

2 calls:

31.0ms	(.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v))
30.0ms	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) (-.f64 1 m))

series92.0ms (1.4%)

Counts

2 → 48

Calls

2 calls:

52.0ms	(.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v))
39.0ms	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) (-.f64 1 m))

simplify173.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

850×	`distribute-rgt-in_binary64`
806×	`distribute-lft-in_binary64`
279×	`associate-l_binary64`
201×	`fma-neg_binary64`
189×	`associate-r_binary64`

Counts

149 → 287

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	202	3188
1	467	2879
2	1855	2803
3	5321	2803

prune548.0ms (8.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	405	1	406
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	406	4	410

Error

Counts

410 → 4

Alt Table

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

Compiler

Compiled 6249 to 4027 computations (35.6% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (-.f64 (.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1) (-.f64 1 m))
✓	0.3b	(/.f64 m (sqrt.f64 v))
✓	0.3b	(/.f64 (-.f64 1 m) (sqrt.f64 v))
✓	0.4b	(*.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)))

rewrite146.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

162×	`add-sqr-sqrt_binary64`
130×	`*-un-lft-identity_binary64`
120×	`times-frac_binary64`
88×	`add-cube-cbrt_binary64`
66×	`sqrt-prod_binary64`

Counts

4 → 256

Calls

4 calls:

49.0ms	(*.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)))
34.0ms	(.f64 (-.f64 (.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1) (-.f64 1 m))
14.0ms	(/.f64 (-.f64 1 m) (sqrt.f64 v))
6.0ms	(/.f64 m (sqrt.f64 v))

series284.0ms (4.3%)

Counts

4 → 64

Calls

4 calls:

80.0ms	(.f64 (-.f64 (.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1) (-.f64 1 m))
76.0ms	(/.f64 m (sqrt.f64 v))
67.0ms	(*.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)))
60.0ms	(/.f64 (-.f64 1 m) (sqrt.f64 v))

simplify425.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

495×	`fma-neg_binary64`
397×	`associate-/r*_binary64`
377×	`associate-/r/_binary64`
310×	`associate-l_binary64`
195×	`associate-r_binary64`

Counts

320 → 557

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	302	7015
1	730	6131
2	2880	5799
3	4786	5799
4	5036	5799

prune576.0ms (8.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	556	1	557
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	557	4	561

Error

Counts

561 → 4

Alt Table

Status	Error	Program
✓	0.2b	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) (-.f64 1 m))
✓	0.3b	(.f64 (-.f64 (.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1) (-.f64 1 m))
	0.0b	(+.f64 (+.f64 (+.f64 m (/.f64 m v)) (.f64 (.f64 (/.f64 m v) m) (-.f64 m 2))) -1)
✓	0.1b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1)) (/.f64 (pow.f64 m 3) v))

Compiler

Compiled 9212 to 4786 computations (48% saved)

regimes773.0ms (11.6%)

Accuracy

Total 0.1b remaining (80.3%)

Threshold costs 0.1b (80.3%)

Compiler

Compiled 7488 to 5415 computations (27.7% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	20	25
2	21	25
3	20	25

end1.0ms (0%)

Compiler: Compiled 19 to 11 computations (42.1% saved)

sample1.7s (25.7%)

Algorithm

1×

intervals

Results

734.0ms	8000×	body	128	valid
308.0ms	8044×	pre	128	true
4.0ms	44×	body	128	invalid

Compiler

Compiled 123 to 82 computations (33.3% saved)

Details

analyze198.0ms (3%)

sample33.0ms (0.5%)

simplify147.0ms (2.2%)

prune3.0ms (0.1%)

localize7.0ms (0.1%)

rewrite45.0ms (0.7%)

series79.0ms (1.2%)

simplify207.0ms (3.1%)

prune322.0ms (4.9%)

localize23.0ms (0.4%)

rewrite36.0ms (0.5%)

series236.0ms (3.6%)

simplify217.0ms (3.3%)

prune242.0ms (3.6%)

localize15.0ms (0.2%)

rewrite80.0ms (1.2%)

series92.0ms (1.4%)

simplify173.0ms (2.6%)

prune548.0ms (8.2%)

localize18.0ms (0.3%)

rewrite146.0ms (2.2%)

series284.0ms (4.3%)

simplify425.0ms (6.4%)

prune576.0ms (8.7%)

regimes773.0ms (11.6%)

simplify7.0ms (0.1%)

end1.0ms (0%)

sample1.7s (25.7%)

Profiling