Details

analyze5.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 19 to 15 computations (21.1% saved)

sample133.0ms (6.4%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 38 to 30 computations (21.1% saved)

simplify107.0ms (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

prune3.0ms (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)

localize8.0ms (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)
✓	16.5b	(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series10.0ms (0.5%)

Counts

4 → 48

Calls

4 calls:

4.0ms	(/.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)
2.0ms	(fma.f64 x 27061/100000 230753/100000)
2.0ms	(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 4481/100000 99229/100000)
0.0ms	(fma.f64 x 27061/100000 230753/100000)
0.0ms	(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)

simplify83.0ms (4%)

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

prune89.0ms (4.3%)

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

0.0b

Counts

101 → 2

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)))
▶	22.8b	(-.f64 x (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

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)))

▶

22.8b

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

Compiler

Compiled 1950 to 1468 computations (24.7% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 x 27061/100000 230753/100000)
✓	0.9b	(pow.f64 (fma.f64 x 27061/100000 230753/100000) 3)
✓	16.5b	(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
✓	21.5b	(cbrt.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3))

series8.0ms (0.4%)

Counts

3 → 36

Calls

3 calls:

3.0ms

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

3.0ms

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

3.0ms

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

rewrite16.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-prod_binary64`
45×	`times-frac_binary64`
41×	`*-un-lft-identity_binary64`
41×	`add-sqr-sqrt_binary64`
41×	`add-cube-cbrt_binary64`

Counts

3 → 125

Calls

3 calls:

4.0ms

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

2.0ms

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

2.0ms

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

simplify117.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

699×	`fma-def_binary64`
380×	`associate-l_binary64`
343×	`associate-r_binary64`
284×	`associate-/l*_binary64`
228×	`log-prod_binary64`

Counts

161 → 192

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	3391
1	316	3192
2	952	3163
3	3972	3132
4	4961	3132

prune191.0ms (9.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	206	1	207
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	207	2	209

Error

Counts

209 → 2

Alt Table

Status	Error	Program
▶	30.4b	(-.f64 x (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 27061/100000 x 230753/100000) 3) 3))) (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

▶

30.4b

(-.f64 x (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 27061/100000 x 230753/100000) 3) 3))) (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 5263 to 4159 computations (21% saved)

localize15.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(pow.f64 (fma.f64 27061/100000 x 230753/100000) 3)
✓	7.6b	(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 27061/100000 x 230753/100000) 3) 3))
✓	16.5b	(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 27061/100000 x 230753/100000) 3) 3))) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
✓	21.5b	(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 27061/100000 x 230753/100000) 3) 3)))

series12.0ms (0.6%)

Counts

4 → 48

Calls

4 calls:

4.0ms	(pow.f64 (fma.f64 27061/100000 x 230753/100000) 3)
3.0ms	(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 27061/100000 x 230753/100000) 3) 3))) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
3.0ms	(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 27061/100000 x 230753/100000) 3) 3))
2.0ms	(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 27061/100000 x 230753/100000) 3) 3)))

rewrite51.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

345×	`cbrt-prod_binary64`
111×	`cube-prod_binary64`
111×	`unpow-prod-down_binary64`
108×	`times-frac_binary64`
95×	`*-un-lft-identity_binary64`

Counts

4 → 270

Calls

4 calls:

11.0ms	(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 27061/100000 x 230753/100000) 3) 3))) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
4.0ms	(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 27061/100000 x 230753/100000) 3) 3)))
3.0ms	(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 27061/100000 x 230753/100000) 3) 3))
2.0ms	(pow.f64 (fma.f64 27061/100000 x 230753/100000) 3)

simplify215.0ms (10.3%)

Algorithm

1×	egg-herbie

Rules

592×	`fma-def_binary64`
395×	`unswap-sqr_binary64`
301×	`associate-/l*_binary64`
279×	`associate-*l/_binary64`
209×	`associate-*r/_binary64`

Counts

318 → 266

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	264	8067
1	380	7163
2	1106	7045
3	3890	6991
4	4932	6991

prune266.0ms (12.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	266	0	266
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	266	2	268

Error

Counts

268 → 2

Alt Table

Status	Error	Program
✓	30.4b	(-.f64 x (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 27061/100000 x 230753/100000) 3) 3))) (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

✓

30.4b

(-.f64 x (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 27061/100000 x 230753/100000) 3) 3))) (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 8267 to 6784 computations (17.9% saved)

regimes100.0ms (4.8%)

Accuracy

Total 0.0b remaining (25.3%)

Threshold costs 0.0b (25.3%)

Counts

48 → 1

Compiler

Compiled 1692 to 1302 computations (23% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
7×	`*-commutative_binary64`
5×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	25	25
2	31	25
3	40	25
4	53	25
5	58	25
6	61	25
7	62	25
8	59	25

end1.0ms (0%)

Compiler: Compiled 18 to 14 computations (22.2% saved)

sample637.0ms (30.5%)

Algorithm

1×

intervals

Results

421.0ms

8000×

body

128

valid

Compiler

Compiled 74 to 58 computations (21.6% saved)

Details

analyze5.0ms (0.2%)

sample133.0ms (6.4%)

simplify107.0ms (5.1%)

prune3.0ms (0.2%)

localize8.0ms (0.4%)

series10.0ms (0.5%)

rewrite5.0ms (0.2%)

simplify83.0ms (4%)

prune89.0ms (4.3%)

localize11.0ms (0.5%)

series8.0ms (0.4%)

rewrite16.0ms (0.8%)

simplify117.0ms (5.6%)

prune191.0ms (9.1%)

localize15.0ms (0.7%)

series12.0ms (0.6%)

rewrite51.0ms (2.4%)

simplify215.0ms (10.3%)

prune266.0ms (12.7%)

regimes100.0ms (4.8%)

simplify5.0ms (0.2%)

end1.0ms (0%)

sample637.0ms (30.5%)

Profiling