Details

analyze191.0ms (5.8%)

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%	68.7%	6.3%	6
25%	56.2%	18.8%	7
25%	48.4%	26.6%	8
25%	35.1%	39.9%	9
28.1%	18.3%	53.6%	10
31.6%	12.3%	56.1%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 34 to 22 computations (35.3% saved)

sample1.4s (41.4%)

Results

1.3s	8256×	body	128	valid
1.0ms	5×	body	128	invalid

Compiler

Compiled 101 to 65 computations (35.6% saved)

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

0.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)

Compiler

Compiled 99 to 63 computations (36.4% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (*.f64 3 a))
✓	0.1b	(.f64 (.f64 a a) (+.f64 1 a))
✓	0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
✓	0.6b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

series25.0ms (0.8%)

Counts

4 → 63

Calls

4 calls:

13.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
2.0ms	(.f64 (.f64 a a) (+.f64 1 a))
1.0ms	(-.f64 1 (*.f64 3 a))

rewrite86.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

564×	`fma-def_binary64`
266×	`expm1-udef_binary64`
265×	`log1p-udef_binary64`
245×	`fma-neg_binary64`
175×	`egg-rr`

Counts

4 → 175

Calls

4 calls:

83.0ms	(-.f64 1 (*.f64 3 a))
83.0ms	(.f64 (.f64 a a) (+.f64 1 a))
83.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
83.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	334	38
2	3830	34
3	5319	34

prune249.0ms (7.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	236	2	238
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	236	3	239

Error

0.0b

Counts

239 → 3

Alt Table

Status	Error	Program
✓	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
▶	0.0b	(-.f64 (+.f64 (+.f64 (pow.f64 a 4) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
	41.3b	(-.f64 (+.f64 (/.f64 (.f64 (+.f64 (pow.f64 b 6) (pow.f64 a 6)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a b) 2))) (-.f64 (.f64 a a) (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)

Compiler

Compiled 8599 to 4862 computations (43.5% saved)

localize27.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (pow.f64 a 4) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
✓	0.1b	(.f64 (.f64 a a) (+.f64 1 a))
✓	0.6b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
✓	2.3b	(*.f64 (pow.f64 a 2) (pow.f64 b 2))

series46.0ms (1.4%)

Counts

4 → 60

Calls

4 calls:

23.0ms	(+.f64 (+.f64 (pow.f64 a 4) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
12.0ms	(*.f64 (pow.f64 a 2) (pow.f64 b 2))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
2.0ms	(.f64 (.f64 a a) (+.f64 1 a))

rewrite75.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

465×	`log1p-udef_binary64`
261×	`log1p-expm1-u_binary64`
261×	`expm1-log1p-u_binary64`
244×	`add-log-exp_binary64`
243×	`add-exp-log_binary64`

Counts

4 → 75

Calls

4 calls:

73.0ms	(+.f64 (+.f64 (pow.f64 a 4) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
73.0ms	(.f64 (.f64 a a) (+.f64 1 a))
73.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
73.0ms	(*.f64 (pow.f64 a 2) (pow.f64 b 2))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	78
1	544	72
2	4820	72
3	5649	72

prune188.0ms (5.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	135	3	138

Error

0.0b

Counts

138 → 3

Alt Table

Status	Error	Program
✓	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
✓	0.0b	(-.f64 (+.f64 (+.f64 (pow.f64 a 4) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
▶	41.3b	(-.f64 (+.f64 (/.f64 (.f64 (+.f64 (pow.f64 b 6) (pow.f64 a 6)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a b) 2))) (-.f64 (.f64 a a) (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)

Compiler

Compiled 5407 to 3891 computations (28% saved)

localize29.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (*.f64 a b) 2)
✓	0.2b	(.f64 (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a b) 2))) (-.f64 (.f64 a a) (.f64 b b)))
✓	0.6b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
✓	45.2b	(/.f64 (.f64 (+.f64 (pow.f64 b 6) (pow.f64 a 6)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a b) 2))) (-.f64 (.f64 a a) (*.f64 b b))))

series80.0ms (2.4%)

Counts

4 → 96

Calls

4 calls:

47.0ms	(/.f64 (.f64 (+.f64 (pow.f64 b 6) (pow.f64 a 6)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a b) 2))) (-.f64 (.f64 a a) (*.f64 b b))))
16.0ms	(.f64 (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a b) 2))) (-.f64 (.f64 a a) (.f64 b b)))
10.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
7.0ms	(pow.f64 (*.f64 a b) 2)

rewrite81.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

377×	`prod-diff_binary64`
299×	`log1p-expm1-u_binary64`
299×	`expm1-log1p-u_binary64`
278×	`add-cbrt-cube_binary64`
277×	`add-log-exp_binary64`

Counts

4 → 57

Calls

4 calls:

79.0ms	(pow.f64 (*.f64 a b) 2)
79.0ms	(.f64 (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a b) 2))) (-.f64 (.f64 a a) (.f64 b b)))
79.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
79.0ms	(/.f64 (.f64 (+.f64 (pow.f64 b 6) (pow.f64 a 6)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a b) 2))) (-.f64 (.f64 a a) (*.f64 b b))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	106
1	631	106
2	4651	106
3	5071	106

prune222.0ms (6.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	153	3	156

Error

0.0b

Counts

156 → 3

Alt Table

Status	Error	Program
✓	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
✓	0.0b	(-.f64 (+.f64 (+.f64 (pow.f64 a 4) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
✓	41.3b	(-.f64 (+.f64 (/.f64 (.f64 (+.f64 (pow.f64 b 6) (pow.f64 a 6)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a b) 2))) (-.f64 (.f64 a a) (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)

Compiler

Compiled 8778 to 5595 computations (36.3% saved)

regimes462.0ms (14%)

Accuracy

Total 0.0b remaining (59.7%)

Threshold costs 0.0b (59.7%)

Counts

62 → 1

Compiler

Compiled 11543 to 8357 computations (27.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
5×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`distribute-rgt-neg-in_binary64`
2×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	80
1	39	80
2	49	80
3	53	80
4	55	80
5	52	80

end143.0ms (4.3%)

Compiler: Compiled 249 to 175 computations (29.7% saved)

Details

analyze191.0ms (5.8%)

sample1.4s (41.4%)

prune2.0ms (0.1%)

localize17.0ms (0.5%)

series25.0ms (0.8%)

rewrite86.0ms (2.6%)

prune249.0ms (7.6%)

localize27.0ms (0.8%)

series46.0ms (1.4%)

rewrite75.0ms (2.3%)

prune188.0ms (5.7%)

localize29.0ms (0.9%)

series80.0ms (2.4%)

rewrite81.0ms (2.5%)

prune222.0ms (6.8%)

regimes462.0ms (14%)

simplify4.0ms (0.1%)

end143.0ms (4.3%)

Profiling