Details

analyze355.0ms (16.5%)

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)

sample860.0ms (39.9%)

Symmetry

(sort x y)

Results

762.0ms	8256×	body	128	valid
66.0ms	733×	body	128	invalid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify6.0ms (0.3%)

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

7.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	7.7b	(/.f64 (*.f64 x y) z)

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.4b	(/.f64 (*.f64 x y) z)

series15.0ms (0.7%)

Counts

1 → 36

Calls

1 calls:

14.0ms

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

rewrite46.0ms (2.1%)

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 → 47

Calls

1 calls:

45.0ms

(/.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

simplify12.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Counts

83 → 48

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

prune36.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	41	7	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	8	49

Error

0.0b

Counts

49 → 8

Alt Table

Status	Error	Program
✓	7.7b	(/.f64 (*.f64 x y) z)
▶	5.8b	(*.f64 (/.f64 x 1) (/.f64 y z))
	33.2b	(.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 (.f64 x y)) (/.f64 1 z)))
	8.5b	(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 (cbrt.f64 (.f64 x y)) (/.f64 1 z)))
	7.5b	(.f64 y (.f64 x (/.f64 1 z)))
	34.6b	(cbrt.f64 (pow.f64 (/.f64 (*.f64 x y) z) 3))
	8.5b	(pow.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) 3)
	7.4b	(*.f64 (/.f64 x z) y)

Compiler

Compiled 657 to 277 computations (57.8% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.6b	(*.f64 (/.f64 x 1) (/.f64 y z))

series14.0ms (0.7%)

Counts

1 → 36

Calls

1 calls:

14.0ms

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

rewrite100.0ms (4.6%)

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 → 46

Calls

1 calls:

99.0ms

(*.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

simplify12.0ms (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

prune31.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	5	1	6
Picked	0	1	1
Done	0	1	1
Total	49	6	55

Error

Counts

55 → 6

Alt Table

Status	Error	Program
	6.0b	(/.f64 x (/.f64 z y))
✓	7.7b	(/.f64 (*.f64 x y) z)
✓	5.8b	(*.f64 (/.f64 x 1) (/.f64 y z))
▶	5.8b	(/.f64 (/.f64 y z) (/.f64 1 x))
	7.2b	(/.f64 y (*.f64 (/.f64 1 x) z))
	7.4b	(*.f64 (/.f64 x z) y)

Compiler

Compiled 482 to 219 computations (54.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.6b	(/.f64 (/.f64 y z) (/.f64 1 x))

series16.0ms (0.7%)

Counts

1 → 36

Calls

1 calls:

16.0ms

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

rewrite51.0ms (2.4%)

Algorithm

2×	batch-egg-rewrite

Rules

871×	`log1p-expm1-u_binary64`
871×	`expm1-log1p-u_binary64`
86×	`add-sqr-sqrt_binary64`
79×	`add-cbrt-cube_binary64`
79×	`add-log-exp_binary64`

Counts

1 → 43

Calls

1 calls:

51.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	172	7
2	2246	7
3	5472	7
0	0	0
1	0	0

simplify12.0ms (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

prune37.0ms (1.7%)

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
▶	6.0b	(/.f64 x (/.f64 z y))
✓	7.7b	(/.f64 (*.f64 x y) z)
✓	5.8b	(*.f64 (/.f64 x 1) (/.f64 y z))
✓	5.8b	(/.f64 (/.f64 y z) (/.f64 1 x))
	7.2b	(/.f64 y (*.f64 (/.f64 1 x) z))
	7.4b	(*.f64 (/.f64 x z) y)

Compiler

Compiled 542 to 256 computations (52.8% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series17.0ms (0.8%)

Counts

1 → 36

Calls

1 calls:

17.0ms

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

rewrite74.0ms (3.4%)

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 → 44

Calls

1 calls:

73.0ms

(/.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

80 → 45

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

prune20.0ms (0.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	45	6	51

Error

Counts

51 → 6

Alt Table

Status	Error	Program
✓	6.0b	(/.f64 x (/.f64 z y))
✓	7.7b	(/.f64 (*.f64 x y) z)
✓	5.8b	(*.f64 (/.f64 x 1) (/.f64 y z))
✓	5.8b	(/.f64 (/.f64 y z) (/.f64 1 x))
	7.2b	(/.f64 y (*.f64 (/.f64 1 x) z))
	7.4b	(*.f64 (/.f64 x z) y)

Compiler

Compiled 478 to 185 computations (61.3% saved)

regimes325.0ms (15.1%)

Accuracy

Total 0.3b remaining (97.2%)

Threshold costs 0.3b (97.2%)

Counts

28 → 5

Compiler

Compiled 1864 to 1208 computations (35.2% saved)

bsearch1.0ms (0%)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	71
1	28	71
2	28	71

end83.0ms (3.9%)

Remove: (sort x y)
Compiler: Compiled 262 to 128 computations (51.1% saved)

Details

analyze355.0ms (16.5%)

sample860.0ms (39.9%)

simplify6.0ms (0.3%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series15.0ms (0.7%)

rewrite46.0ms (2.1%)

simplify12.0ms (0.6%)

prune36.0ms (1.7%)

localize4.0ms (0.2%)

series14.0ms (0.7%)

rewrite100.0ms (4.6%)

simplify12.0ms (0.6%)

prune31.0ms (1.4%)

localize5.0ms (0.2%)

series16.0ms (0.7%)

rewrite51.0ms (2.4%)

simplify12.0ms (0.6%)

prune37.0ms (1.7%)

localize4.0ms (0.2%)

series17.0ms (0.8%)

rewrite74.0ms (3.4%)

simplify14.0ms (0.6%)

prune20.0ms (0.9%)

regimes325.0ms (15.1%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end83.0ms (3.9%)

Profiling