Details

analyze366.0ms (15.2%)

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
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
54.6%	41.3%	4%	10
59.3%	36.7%	4%	11
61.6%	32.6%	5.8%	12
68.3%	22.7%	9%	13
71%	20%	9%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample902.0ms (37.3%)

Symmetry

(sort x y)

Results

793.0ms	8256×	body	128	valid
72.0ms	783×	body	128	invalid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify13.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	13	7
3	16	7
4	17	7
5	17	7

prune1.0ms (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

7.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	7.2b	(/.f64 (*.f64 x y) z)

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.0b	(/.f64 (*.f64 x y) z)

series15.0ms (0.6%)

Counts

1 → 36

Calls

1 calls:

15.0ms

(/.f64 (*.f64 x y) z)

rewrite52.0ms (2.2%)

Algorithm

2×	batch-egg-rewrite

Rules

659×	`log1p-expm1-u_binary64`
659×	`expm1-log1p-u_binary64`
367×	`log-prod_binary64`
119×	`expm1-udef_binary64`
119×	`log1p-udef_binary64`

Counts

1 → 46

Calls

1 calls:

51.0ms

(/.f64 (*.f64 x y) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1688	7
3	5384	7
0	0	0
1	0	0

simplify14.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Counts

82 → 47

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252
5	17	252

prune34.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	41	6	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	7	48

Error

0.0b

Counts

48 → 7

Alt Table

Status	Error	Program
	7.5b	(pow.f64 (/.f64 z (*.f64 x y)) -1)
	8.0b	(pow.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) 3)
	7.7b	(*.f64 (/.f64 x z) y)
✓	7.2b	(/.f64 (*.f64 x y) z)
▶	6.3b	(*.f64 (/.f64 x 1) (/.f64 y z))
	7.9b	(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 (cbrt.f64 (.f64 x y)) (/.f64 1 z)))
	7.7b	(.f64 y (.f64 x (/.f64 1 z)))

Compiler

Compiled 618 to 257 computations (58.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.0b	(*.f64 (/.f64 x 1) (/.f64 y z))

series14.0ms (0.6%)

Counts

1 → 36

Calls

1 calls:

14.0ms

(*.f64 (/.f64 x 1) (/.f64 y z))

rewrite125.0ms (5.2%)

Algorithm

2×	batch-egg-rewrite

Rules

713×	`log1p-expm1-u_binary64`
713×	`expm1-log1p-u_binary64`
129×	`expm1-udef_binary64`
129×	`log1p-udef_binary64`
90×	`fma-neg_binary64`

Counts

1 → 45

Calls

1 calls:

123.0ms

(*.f64 (/.f64 x 1) (/.f64 y z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	150	7
2	1866	7
3	4979	7
4	4996	7
5	5007	7
0	0	0
1	0	0

simplify31.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Counts

81 → 46

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252
5	17	252

prune62.0ms (2.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	47	6	53

Error

Counts

53 → 6

Alt Table

Status	Error	Program
	7.3b	(/.f64 y (*.f64 (/.f64 1 x) z))
✓	6.3b	(*.f64 (/.f64 x 1) (/.f64 y z))
	7.5b	(pow.f64 (/.f64 z (*.f64 x y)) -1)
	7.7b	(*.f64 (/.f64 x z) y)
✓	7.2b	(/.f64 (*.f64 x y) z)
▶	6.2b	(/.f64 x (/.f64 z y))

Compiler

Compiled 477 to 219 computations (54.1% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.9b	(/.f64 x (/.f64 z y))

series35.0ms (1.4%)

Counts

1 → 36

Calls

1 calls:

34.0ms

(/.f64 x (/.f64 z y))

rewrite112.0ms (4.6%)

Algorithm

2×	batch-egg-rewrite

Rules

724×	`log1p-expm1-u_binary64`
724×	`expm1-log1p-u_binary64`
125×	`expm1-udef_binary64`
125×	`log1p-udef_binary64`
69×	`add-sqr-sqrt_binary64`

Counts

1 → 43

Calls

1 calls:

111.0ms

(/.f64 x (/.f64 z y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	131	7
2	1850	7
3	5000	7
4	4983	7
0	0	0
1	0	0

simplify14.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Counts

79 → 44

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252
5	17	252

prune24.0ms (1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	44	6	50

Error

Counts

50 → 6

Alt Table

Status	Error	Program
▶	7.3b	(/.f64 y (*.f64 (/.f64 1 x) z))
✓	6.3b	(*.f64 (/.f64 x 1) (/.f64 y z))
	7.5b	(pow.f64 (/.f64 z (*.f64 x y)) -1)
	7.7b	(*.f64 (/.f64 x z) y)
✓	7.2b	(/.f64 (*.f64 x y) z)
✓	6.2b	(/.f64 x (/.f64 z y))

Compiler

Compiled 501 to 204 computations (59.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 x) z)
✓	6.9b	(/.f64 y (*.f64 (/.f64 1 x) z))

series19.0ms (0.8%)

Counts

2 → 60

Calls

2 calls:

11.0ms	(/.f64 y (*.f64 (/.f64 1 x) z))
8.0ms	(*.f64 (/.f64 1 x) z)

rewrite52.0ms (2.1%)

Algorithm

2×	batch-egg-rewrite

Rules

810×	`log1p-expm1-u_binary64`
810×	`expm1-log1p-u_binary64`
82×	`add-sqr-sqrt_binary64`
75×	`add-cbrt-cube_binary64`
75×	`add-log-exp_binary64`

Counts

2 → 67

Calls

2 calls:

50.0ms	(*.f64 (/.f64 1 x) z)
50.0ms	(/.f64 y (*.f64 (/.f64 1 x) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	165	11
2	2104	11
3	5102	11
0	0	0
1	0	0

simplify19.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Counts

127 → 68

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	348
1	9	348
2	13	348
3	16	348
4	17	348
5	17	348

prune37.0ms (1.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	68	6	74

Error

Counts

74 → 6

Alt Table

Status	Error	Program
✓	7.3b	(/.f64 y (*.f64 (/.f64 1 x) z))
✓	6.3b	(*.f64 (/.f64 x 1) (/.f64 y z))
	7.5b	(pow.f64 (/.f64 z (*.f64 x y)) -1)
	7.7b	(*.f64 (/.f64 x z) y)
✓	7.2b	(/.f64 (*.f64 x y) z)
✓	6.2b	(/.f64 x (/.f64 z y))

Compiler

Compiled 680 to 284 computations (58.2% saved)

regimes236.0ms (9.8%)

Accuracy

Total 0.3b remaining (97.7%)

Threshold costs 0.3b (97.7%)

Counts

21 → 5

Compiler

Compiled 1403 to 888 computations (36.7% saved)

bsearch1.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	71
1	22	71
2	22	71

end216.0ms (8.9%)

Compiler: Compiled 262 to 112 computations (57.3% saved)

Details

analyze366.0ms (15.2%)

sample902.0ms (37.3%)

simplify13.0ms (0.5%)

prune1.0ms (0.1%)

localize3.0ms (0.1%)

series15.0ms (0.6%)

rewrite52.0ms (2.2%)

simplify14.0ms (0.6%)

prune34.0ms (1.4%)

localize4.0ms (0.2%)

series14.0ms (0.6%)

rewrite125.0ms (5.2%)

simplify31.0ms (1.3%)

prune62.0ms (2.6%)

localize7.0ms (0.3%)

series35.0ms (1.4%)

rewrite112.0ms (4.6%)

simplify14.0ms (0.6%)

prune24.0ms (1%)

localize5.0ms (0.2%)

series19.0ms (0.8%)

rewrite52.0ms (2.1%)

simplify19.0ms (0.8%)

prune37.0ms (1.5%)

regimes236.0ms (9.8%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end216.0ms (8.9%)

Profiling