Details

analyze159.0ms (8%)

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
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 20 to 13 computations (35% saved)

sample78.0ms (3.9%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 41 to 27 computations (34.1% saved)

simplify43.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

770×	`unswap-sqr_binary64`
631×	`associate-l_binary64`
623×	`fma-def_binary64`
311×	`fma-neg_binary64`
283×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	30	21
2	60	21
3	159	21
4	518	17
5	1687	17
6	3597	17
7	5026	17

prune4.0ms (0.2%)

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
▶	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 b (*.f64 b 4) -1))
	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b))) 1)

Compiler

Compiled 97 to 64 computations (34% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 b (*.f64 b 4) -1))
✓	0.0b	(hypot.f64 a b)
✓	0.0b	(pow.f64 (hypot.f64 a b) 4)

series94.0ms (4.7%)

Counts

3 → 72

Calls

3 calls:

42.0ms	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 b (*.f64 b 4) -1))
36.0ms	(pow.f64 (hypot.f64 a b) 4)
16.0ms	(hypot.f64 a b)

rewrite8.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
7×	`fma-def_binary64`
7×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`
6×	`unpow-prod-down_binary64`

Counts

3 → 52

Calls

3 calls:

4.0ms	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 b (*.f64 b 4) -1))
2.0ms	(pow.f64 (hypot.f64 a b) 4)
0.0ms	(hypot.f64 a b)

simplify101.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

785×	`fma-neg_binary64`
421×	`fma-def_binary64`
280×	`associate-r_binary64`
276×	`associate-l_binary64`
184×	`times-frac_binary64`

Counts

124 → 114

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	2123
1	343	2010
2	979	1901
3	4070	1899
4	4922	1899
5	4944	1899

prune109.0ms (5.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	115	1	116

Error

Counts

116 → 1

Alt Table

Status	Error	Program
▶	0b	(+.f64 (pow.f64 a 4) (+.f64 -1 (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 4) (pow.f64 b 4))))

Compiler

Compiled 2306 to 1477 computations (35.9% saved)

localize11.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.8b	(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 4) (pow.f64 b 4))

series26.0ms (1.3%)

Counts

1 → 24

Calls

1 calls:

26.0ms

(fma.f64 (*.f64 b b) (fma.f64 2 (*.f64 a a) 4) (pow.f64 b 4))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 (*.f64 b b) (fma.f64 2 (*.f64 a a) 4) (pow.f64 b 4))

simplify55.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

836×	`associate-l_binary64`
694×	`associate-r_binary64`
472×	`unswap-sqr_binary64`
415×	`exp-prod_binary64`
398×	`distribute-rgt-in_binary64`

Counts

34 → 27

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	745
1	54	600
2	139	600
3	542	600
4	3349	600
5	5042	600

prune26.0ms (1.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	1	28

Error

Counts

28 → 1

Alt Table

Status	Error	Program
✓	0b	(+.f64 (pow.f64 a 4) (+.f64 -1 (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 4) (pow.f64 b 4))))

Compiler

Compiled 658 to 411 computations (37.5% saved)

regimes453.0ms (22.7%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

73 → 1

Compiler

Compiled 7722 to 5667 computations (26.6% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	27
1	16	27
2	16	27

end1.0ms (0%)

Compiler: Compiled 21 to 15 computations (28.6% saved)

sample818.0ms (40.9%)

Algorithm

1×

intervals

Results

523.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 64 to 45 computations (29.7% saved)

Details

analyze159.0ms (8%)

sample78.0ms (3.9%)

simplify43.0ms (2.2%)

prune4.0ms (0.2%)

localize7.0ms (0.4%)

series94.0ms (4.7%)

rewrite8.0ms (0.4%)

simplify101.0ms (5.1%)

prune109.0ms (5.5%)

localize11.0ms (0.5%)

series26.0ms (1.3%)

rewrite1.0ms (0%)

simplify55.0ms (2.8%)

prune26.0ms (1.3%)

regimes453.0ms (22.7%)

simplify4.0ms (0.2%)

end1.0ms (0%)

sample818.0ms (40.9%)

Profiling