Details

analyze8.0ms (0.3%)

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)

sample967.0ms (32.9%)

Results

840.0ms

8256×

body

128

valid

Compiler

Compiled 56 to 44 computations (21.4% saved)

simplify107.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1572×	`fma-neg_binary64`
1419×	`fma-def_binary64`
565×	`sub-neg_binary64`
397×	`div-sub_binary64`
395×	`distribute-rgt-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	31	19
2	50	19
3	71	19
4	84	19
5	103	19
6	137	19
7	208	19
8	304	19
9	493	19
10	931	19
11	1441	19
12	2503	19
13	3175	19
14	3604	19
15	4118	19
16	4302	19
17	4751	19

prune3.0ms (0.1%)

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

Compiler

Compiled 62 to 46 computations (25.8% saved)

localize8.0ms (0.3%)

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)
✓	16.9b	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series10.0ms (0.4%)

Counts

4 → 48

Calls

4 calls:

4.0ms	(fma.f64 x 27061/100000 230753/100000)
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 (fma.f64 x 4481/100000 99229/100000) 1)
1.0ms	(fma.f64 x 4481/100000 99229/100000)

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)

simplify114.0ms (3.9%)

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

prune189.0ms (6.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	2	101

Error

Counts

101 → 2

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)) x)
	0.3b	(-.f64 (/.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) x)

Status

Error

Program

▶

0.0b

(-.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)) x)

0.3b

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

Compiler

Compiled 1985 to 1495 computations (24.7% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 x 27061/100000 230753/100000)
✓	0.8b	(pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)
	16.9b	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
✓	21.1b	(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3))

series7.0ms (0.2%)

Counts

2 → 24

Calls

2 calls:

4.0ms

(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3))

3.0ms

(pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`times-frac_binary64`
32×	`*-un-lft-identity_binary64`
32×	`add-sqr-sqrt_binary64`
32×	`cbrt-prod_binary64`
32×	`add-cube-cbrt_binary64`

Counts

2 → 92

Calls

2 calls:

3.0ms

(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3))

3.0ms

(pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)

simplify113.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

596×	`times-frac_binary64`
399×	`associate-/l*_binary64`
366×	`fma-def_binary64`
317×	`log-div_binary64`
284×	`unswap-sqr_binary64`

Counts

116 → 121

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	187	3313
1	470	2990
2	1369	2904
3	4493	2892
4	5170	2892

prune183.0ms (6.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	183	2	185

Error

Counts

185 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)) x)
▶	0.3b	(-.f64 (/.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) x)

Status

Error

Program

✓

0.0b

(-.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)) x)

▶

0.3b

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

Compiler

Compiled 4670 to 3689 computations (21% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
✓	0.2b	(/.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
	0.2b	(fma.f64 x 27061/100000 230753/100000)
✓	16.8b	(sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series19.0ms (0.6%)

Counts

3 → 36

Calls

3 calls:

10.0ms

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

5.0ms

(sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

3.0ms

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

rewrite46.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

276×	`times-frac_binary64`
157×	`add-sqr-sqrt_binary64`
156×	`*-un-lft-identity_binary64`
156×	`add-cube-cbrt_binary64`
147×	`sqrt-prod_binary64`

Counts

3 → 233

Calls

3 calls:

7.0ms

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

4.0ms

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

1.0ms

(sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

simplify321.0ms (10.9%)

Algorithm

1×	egg-herbie

Rules

547×	`associate-/l/_binary64`
509×	`fma-neg_binary64`
445×	`fma-def_binary64`
366×	`times-frac_binary64`
262×	`sub-neg_binary64`

Counts

269 → 321

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	357	12762
1	881	11663
2	2280	10965
3	4398	10742
4	4879	10742
5	4935	10742

prune505.0ms (17.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	375	0	375
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	375	2	377

Error

Counts

377 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)) x)
✓	0.3b	(-.f64 (/.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) x)

Status

Error

Program

✓

0.0b

(-.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)) x)

✓

0.3b

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

Compiler

Compiled 14735 to 11650 computations (20.9% saved)

regimes223.0ms (7.6%)

Accuracy

Total 0.0b remaining (40.7%)

Threshold costs 0.0b (40.7%)

Counts

108 → 1

Compiler

Compiled 3554 to 2730 computations (23.2% saved)

simplify2.0ms (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	15	24
1	19	24
2	23	24
3	25	24
4	26	24
5	25	24

end67.0ms (2.3%)

Compiler: Compiled 79 to 61 computations (22.8% saved)

Details

analyze8.0ms (0.3%)

sample967.0ms (32.9%)

simplify107.0ms (3.6%)

prune3.0ms (0.1%)

localize8.0ms (0.3%)

series10.0ms (0.4%)

rewrite5.0ms (0.2%)

simplify114.0ms (3.9%)

prune189.0ms (6.4%)

localize11.0ms (0.4%)

series7.0ms (0.2%)

rewrite14.0ms (0.5%)

simplify113.0ms (3.9%)

prune183.0ms (6.2%)

localize11.0ms (0.4%)

series19.0ms (0.6%)

rewrite46.0ms (1.6%)

simplify321.0ms (10.9%)

prune505.0ms (17.2%)

regimes223.0ms (7.6%)

simplify2.0ms (0.1%)

end67.0ms (2.3%)

Profiling