Details

analyze103.0ms (6%)

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
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample948.0ms (55%)

Results

868.0ms	8112×	body	128	valid
27.0ms	82×	body	1024	valid
9.0ms	42×	body	512	valid
7.0ms	77×	body	128	invalid
3.0ms	20×	body	256	valid

Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

24×	`fma-def_binary64`
8×	`*-commutative_binary64`
7×	`+-commutative_binary64`
5×	`associate-+r+_binary64`
5×	`distribute-lft-out_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	20	10
2	44	7
3	64	7
4	67	7
5	68	7
6	66	7

prune4.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 32 to 22 computations (31.3% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

series4.0ms (0.2%)

Counts

1 → 20

Calls

1 calls:

4.0ms

(*.f64 d1 (+.f64 d2 30))

rewrite101.0ms (5.8%)

Algorithm

2×	batch-egg-rewrite

Rules

679×	`log1p-expm1-u_binary64`
679×	`expm1-log1p-u_binary64`
209×	`prod-diff_binary64`
173×	`fma-udef_binary64`
123×	`expm1-udef_binary64`

Counts

1 → 50

Calls

1 calls:

100.0ms

(*.f64 d1 (+.f64 d2 30))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	136	7
2	1685	7
3	4941	7
4	4896	7
5	4935	7
0	0	0
1	0	0

simplify9.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-lft-in_binary64`
1×	`distribute-rgt-in_binary64`

Counts

70 → 56

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	131
1	15	131
2	18	131
3	18	131

prune30.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	3	57

Error

Counts

57 → 3

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 d1 30 (*.f64 d1 d2))
	18.2b	(/.f64 (.f64 (+.f64 (pow.f64 d2 3) 27000) d1) (fma.f64 d2 d2 (-.f64 900 (.f64 d2 30))))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 615 to 338 computations (45% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 d1 30 (*.f64 d1 d2))

series5.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

5.0ms

(fma.f64 d1 30 (*.f64 d1 d2))

rewrite44.0ms (2.5%)

Algorithm

2×	batch-egg-rewrite

Rules

511×	`log1p-expm1-u_binary64`
511×	`expm1-log1p-u_binary64`
320×	`unpow-prod-down_binary64`
269×	`log-prod_binary64`
153×	`pow2_binary64`

Counts

1 → 38

Calls

1 calls:

42.0ms

(fma.f64 d1 30 (*.f64 d1 d2))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	120	7
2	1331	7
3	5162	7
0	0	0
1	0	0

simplify17.0ms (1%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-lft-in_binary64`
1×	`distribute-rgt-in_binary64`

Counts

62 → 43

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	159
1	15	159
2	18	159
3	18	159

prune37.0ms (2.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	43	3	46

Error

Counts

46 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 d1 30 (*.f64 d1 d2))
▶	18.2b	(/.f64 (.f64 (+.f64 (pow.f64 d2 3) 27000) d1) (fma.f64 d2 d2 (-.f64 900 (.f64 d2 30))))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 520 to 367 computations (29.4% saved)

localize14.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 900 (*.f64 d2 30))
✓	2.8b	(*.f64 (+.f64 (pow.f64 d2 3) 27000) d1)
✓	15.6b	(/.f64 (.f64 (+.f64 (pow.f64 d2 3) 27000) d1) (fma.f64 d2 d2 (-.f64 900 (.f64 d2 30))))

series69.0ms (4%)

Counts

3 → 60

Calls

3 calls:

53.0ms	(/.f64 (.f64 (+.f64 (pow.f64 d2 3) 27000) d1) (fma.f64 d2 d2 (-.f64 900 (.f64 d2 30))))
15.0ms	(*.f64 (+.f64 (pow.f64 d2 3) 27000) d1)
2.0ms	(-.f64 900 (*.f64 d2 30))

rewrite69.0ms (4%)

Algorithm

2×	batch-egg-rewrite

Rules

423×	`prod-diff_binary64`
260×	`log1p-udef_binary64`
148×	`add-sqr-sqrt_binary64`
144×	`log1p-expm1-u_binary64`
144×	`expm1-log1p-u_binary64`

Counts

3 → 99

Calls

3 calls:

67.0ms	(-.f64 900 (*.f64 d2 30))
67.0ms	(*.f64 (+.f64 (pow.f64 d2 3) 27000) d1)
67.0ms	(/.f64 (.f64 (+.f64 (pow.f64 d2 3) 27000) d1) (fma.f64 d2 d2 (-.f64 900 (.f64 d2 30))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	311	40
2	3747	40
3	4917	40
0	0	0
1	0	0

simplify71.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

872×	`div-sub_binary64`
538×	`unswap-sqr_binary64`
523×	`times-frac_binary64`
513×	`associate-l_binary64`
422×	`fma-neg_binary64`

Counts

159 → 117

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	675
1	61	639
2	114	597
3	232	597
4	538	597
5	1832	597
6	4703	597
7	6165	597

prune73.0ms (4.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	117	3	120

Error

Counts

120 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 d1 30 (*.f64 d1 d2))
✓	18.2b	(/.f64 (.f64 (+.f64 (pow.f64 d2 3) 27000) d1) (fma.f64 d2 d2 (-.f64 900 (.f64 d2 30))))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 2434 to 1765 computations (27.5% saved)

regimes58.0ms (3.3%)

Accuracy

Total 0.0b remaining (79%)

Threshold costs 0.0b (79%)

Counts

17 → 1

Compiler

Compiled 578 to 407 computations (29.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
2	7	8

end49.0ms (2.8%)

Compiler: Compiled 49 to 33 computations (32.7% saved)

Details

analyze103.0ms (6%)

sample948.0ms (55%)

simplify7.0ms (0.4%)

prune4.0ms (0.2%)

localize3.0ms (0.2%)

series4.0ms (0.2%)

rewrite101.0ms (5.8%)

simplify9.0ms (0.5%)

prune30.0ms (1.8%)

localize5.0ms (0.3%)

series5.0ms (0.3%)

rewrite44.0ms (2.5%)

simplify17.0ms (1%)

prune37.0ms (2.2%)

localize14.0ms (0.8%)

series69.0ms (4%)

rewrite69.0ms (4%)

simplify71.0ms (4.1%)

prune73.0ms (4.3%)

regimes58.0ms (3.3%)

simplify2.0ms (0.1%)

end49.0ms (2.8%)

Profiling