Details

analyze9.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
50%	50%	0%	4
75%	25%	0%	5
87.5%	12.5%	0%	6
93.7%	6.2%	0%	7
96.8%	3.1%	0%	8
98.4%	1.6%	0%	9
99.2%	0.8%	0%	10
99.6%	0.4%	0%	11
99.8%	0.2%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 19 to 15 computations (21.1% saved)

sample976.0ms (47.4%)

Results

849.0ms

8256×

body

128

valid

Compiler

Compiled 56 to 44 computations (21.4% saved)

simplify105.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

1041×	`fma-neg_binary64`
807×	`times-frac_binary64`
600×	`associate-/r/_binary64`
564×	`sub-neg_binary64`
392×	`div-sub_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	25	19
2	45	19
3	72	19
4	115	19
5	188	19
6	308	19
7	491	19
8	989	19
9	1283	19
10	3056	19
11	4408	19
12	4532	19
13	4794	19
14	4959	19
15	4564	19

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 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

Compiler

Compiled 62 to 46 computations (25.8% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
✓	0.2b	(fma.f64 x 4481/100000 99229/100000)
✓	0.2b	(fma.f64 x 27061/100000 230753/100000)
✓	13.9b	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series9.0ms (0.5%)

Counts

4 → 48

Calls

4 calls:

3.0ms	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
2.0ms	(fma.f64 x 4481/100000 99229/100000)
2.0ms	(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
2.0ms	(fma.f64 x 27061/100000 230753/100000)

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
12×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
6×	`add-cbrt-cube_binary64`

Counts

4 → 59

Calls

4 calls:

2.0ms	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
0.0ms	(fma.f64 x 27061/100000 230753/100000)
0.0ms	(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)
0.0ms	(fma.f64 x 4481/100000 99229/100000)

simplify138.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

496×	`fma-def_binary64`
477×	`associate-l_binary64`
447×	`fma-neg_binary64`
424×	`distribute-rgt-in_binary64`
411×	`distribute-lft-in_binary64`

Counts

107 → 100

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1537
1	235	1385
2	582	1380
3	1485	1370
4	4572	1370
5	4900	1370

prune114.0ms (5.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	99	2	101

Error

Counts

101 → 2

Alt Table

Status	Error	Program
▶	22.3b	(-.f64 x (cbrt.f64 (/.f64 (.f64 (.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x 27061/100000 230753/100000)) (.f64 (.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
✓	0.0b	(-.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

Status

Error

Program

▶

22.3b

(-.f64 x (cbrt.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x 27061/100000 230753/100000)) (*.f64 (*.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))

✓

0.0b

(-.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

Compiler

Compiled 1998 to 1504 computations (24.7% saved)

localize15.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 x 27061/100000 230753/100000)
✓	0.6b	(*.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 27061/100000 230753/100000))
✓	20.4b	(cbrt.f64 (/.f64 (.f64 (.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x 27061/100000 230753/100000)) (.f64 (.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
✓	26.1b	(/.f64 (.f64 (.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x 27061/100000 230753/100000)) (.f64 (.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

series11.0ms (0.5%)

Counts

3 → 36

Calls

3 calls:

4.0ms

(/.f64 (*.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x 27061/100000 230753/100000)) (*.f64 (*.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

3.0ms

(cbrt.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x 27061/100000 230753/100000)) (*.f64 (*.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))

3.0ms

(*.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 27061/100000 230753/100000))

rewrite29.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-cbrt-cube_binary64`
41×	`add-exp-log_binary64`
19×	`cbrt-unprod_binary64`
19×	`prod-exp_binary64`
10×	`add-sqr-sqrt_binary64`

Counts

3 → 78

Calls

3 calls:

9.0ms

(/.f64 (*.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x 27061/100000 230753/100000)) (*.f64 (*.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

8.0ms

(cbrt.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x 27061/100000 230753/100000)) (*.f64 (*.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))

3.0ms

(*.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 27061/100000 230753/100000))

simplify103.0ms (5%)

Algorithm

1×	egg-herbie

Rules

496×	`associate-/r*_binary64`
381×	`associate-*l/_binary64`
309×	`distribute-rgt-in_binary64`
291×	`distribute-lft-in_binary64`
239×	`fma-def_binary64`

Counts

114 → 146

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	182	4913
1	404	2249
2	1409	1994
3	4891	1986
4	5045	1986

prune281.0ms (13.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	191	2	193

Error

Counts

193 → 2

Alt Table

Status	Error	Program
✓	22.3b	(-.f64 x (cbrt.f64 (/.f64 (.f64 (.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x 27061/100000 230753/100000)) (.f64 (.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
✓	0.0b	(-.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

Status

Error

Program

✓

22.3b

(-.f64 x (cbrt.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x 27061/100000 230753/100000)) (*.f64 (*.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))

✓

0.0b

(-.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

Compiler

Compiled 8092 to 6239 computations (22.9% saved)

regimes174.0ms (8.5%)

Accuracy

Total 0.0b remaining (79.1%)

Threshold costs 0.0b (79.1%)

Counts

76 → 1

Compiler

Compiled 3326 to 2576 computations (22.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	28
1	21	28
2	25	28
3	27	28
4	28	28
5	27	28

end77.0ms (3.7%)

Compiler: Compiled 97 to 75 computations (22.7% saved)

Details

analyze9.0ms (0.4%)

sample976.0ms (47.4%)

simplify105.0ms (5.1%)

prune4.0ms (0.2%)

localize9.0ms (0.4%)

series9.0ms (0.5%)

rewrite5.0ms (0.2%)

simplify138.0ms (6.7%)

prune114.0ms (5.5%)

localize15.0ms (0.7%)

series11.0ms (0.5%)

rewrite29.0ms (1.4%)

simplify103.0ms (5%)

prune281.0ms (13.6%)

regimes174.0ms (8.5%)

simplify3.0ms (0.1%)

end77.0ms (3.7%)

Profiling