Details

analyze96.0ms (6.6%)

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)

sample820.0ms (55.9%)

Results

745.0ms	8128×	body	128	valid
22.0ms	79×	body	1024	valid
9.0ms	106×	body	128	invalid
7.0ms	30×	body	512	valid
3.0ms	19×	body	256	valid

Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify9.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	20	10
2	46	7
3	73	7
4	78	7
5	79	7

Stop Event

1×

saturated

Counts

1 → 2

prune3.0ms (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
	0.2b	(+.f64 (+.f64 (.f64 d1 10) (.f64 d1 d2)) (*.f64 d1 20))
▶	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 58 to 40 computations (31% 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 (0.3%)

Counts

1 → 20

Calls

1 calls:

4.0ms

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

rewrite34.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	136	7
2	1815	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

1 calls:

34.0ms

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

simplify8.0ms (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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	131
1	17	131
2	20	131

Stop Event

1×

saturated

Counts

46 → 32

prune21.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Error

Counts

34 → 3

Alt Table

Status	Error	Program
	18.4b	(/.f64 (.f64 (+.f64 27000 (pow.f64 d2 3)) d1) (fma.f64 d2 d2 (-.f64 900 (.f64 d2 30))))
▶	0.0b	(fma.f64 d1 d2 (*.f64 d1 30))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 355 to 230 computations (35.2% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

4.0ms

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

rewrite35.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

510×	`log1p-expm1-u_binary64`
510×	`expm1-log1p-u_binary64`
308×	`unpow-prod-down_binary64`
267×	`log-prod_binary64`
154×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	120	7
2	1375	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

1 calls:

34.0ms

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

simplify8.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-lft-in_binary64`
1×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	159
1	17	159
2	20	159

Stop Event

1×

saturated

Counts

62 → 43

prune20.0ms (1.4%)

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
▶	18.4b	(/.f64 (.f64 (+.f64 27000 (pow.f64 d2 3)) d1) (fma.f64 d2 d2 (-.f64 900 (.f64 d2 30))))
✓	0.0b	(fma.f64 d1 d2 (*.f64 d1 30))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 520 to 362 computations (30.4% saved)

localize10.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 900 (*.f64 d2 30))
✓	0.0b	(fma.f64 d2 d2 (-.f64 900 (*.f64 d2 30)))
✓	3.3b	(*.f64 (+.f64 27000 (pow.f64 d2 3)) d1)
✓	14.9b	(/.f64 (.f64 (+.f64 27000 (pow.f64 d2 3)) d1) (fma.f64 d2 d2 (-.f64 900 (.f64 d2 30))))

series77.0ms (5.3%)

Counts

4 → 60

Calls

4 calls:

51.0ms	(/.f64 (.f64 (+.f64 27000 (pow.f64 d2 3)) d1) (fma.f64 d2 d2 (-.f64 900 (.f64 d2 30))))
23.0ms	(*.f64 (+.f64 27000 (pow.f64 d2 3)) d1)
2.0ms	(fma.f64 d2 d2 (-.f64 900 (*.f64 d2 30)))
1.0ms	(-.f64 900 (*.f64 d2 30))

rewrite61.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

394×	`prod-diff_binary64`
262×	`log1p-udef_binary64`
148×	`add-sqr-sqrt_binary64`
144×	`log1p-expm1-u_binary64`
144×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
1	311	51
2	3996	51

Stop Event

1×	node limit

Counts

4 → 121

Calls

4 calls:

59.0ms	(-.f64 900 (*.f64 d2 30))
59.0ms	(fma.f64 d2 d2 (-.f64 900 (*.f64 d2 30)))
59.0ms	(*.f64 (+.f64 27000 (pow.f64 d2 3)) d1)
59.0ms	(/.f64 (.f64 (+.f64 27000 (pow.f64 d2 3)) d1) (fma.f64 d2 d2 (-.f64 900 (.f64 d2 30))))

simplify43.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

536×	`unswap-sqr_binary64`
523×	`times-frac_binary64`
500×	`associate-l_binary64`
352×	`associate-r_binary64`
313×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	669
1	66	609
2	132	553
3	266	553
4	688	553
5	2606	553

Stop Event

1×	node limit

Counts

181 → 144

prune84.0ms (5.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	144	3	147

Error

Counts

147 → 3

Alt Table

Status	Error	Program
✓	18.4b	(/.f64 (.f64 (+.f64 27000 (pow.f64 d2 3)) d1) (fma.f64 d2 d2 (-.f64 900 (.f64 d2 30))))
✓	0.0b	(fma.f64 d1 d2 (*.f64 d1 30))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 2971 to 2149 computations (27.7% saved)

regimes60.0ms (4.1%)

Accuracy

Total 0.0b remaining (66.3%)

Threshold costs 0.0b (66.3%)

Counts

20 → 1

Compiler

Compiled 776 to 548 computations (29.4% 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

Stop Event

1×

saturated

end59.0ms (4%)

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

Details

analyze96.0ms (6.6%)

sample820.0ms (55.9%)

simplify9.0ms (0.6%)

prune3.0ms (0.2%)

localize3.0ms (0.2%)

series4.0ms (0.3%)

rewrite34.0ms (2.3%)

simplify8.0ms (0.5%)

prune21.0ms (1.4%)

localize4.0ms (0.3%)

series4.0ms (0.3%)

rewrite35.0ms (2.4%)

simplify8.0ms (0.6%)

prune20.0ms (1.4%)

localize10.0ms (0.7%)

series77.0ms (5.3%)

rewrite61.0ms (4.2%)

simplify43.0ms (2.9%)

prune84.0ms (5.7%)

regimes60.0ms (4.1%)

simplify2.0ms (0.1%)

end59.0ms (4%)

Profiling