Details

analyze3.4s (41.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

Compiler

Compiled 20 to 13 computations (35% saved)

sample1.6s (19.3%)

Results

1.1s	7999×	body	128	valid
238.0ms	1962×	body	128	invalid
48.0ms	117×	body	1024	valid
25.0ms	88×	body	512	valid
10.0ms	52×	body	256	valid

Compiler

Compiled 59 to 38 computations (35.6% saved)

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-def_binary64`
317×	`associate-+l+_binary64`
210×	`associate-+r+_binary64`
79×	`distribute-rgt-in_binary64`
73×	`distribute-lft-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	32	17
2	87	15
3	232	15
4	484	15
5	761	15
6	922	15
7	936	15
8	916	15

prune3.0ms (0%)

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

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

Compiler

Compiled 60 to 37 computations (38.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (+.f64 y z) 2 t)
✓	0.0b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

series23.0ms (0.3%)

Counts

2 → 84

Calls

2 calls:

16.0ms	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))
6.0ms	(fma.f64 (+.f64 y z) 2 t)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`
2×	`add-exp-log_binary64`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))
0.0ms	(fma.f64 (+.f64 y z) 2 t)

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

728×	`associate-+l+_binary64`
725×	`associate-+r+_binary64`
391×	`fma-def_binary64`
304×	`associate-l_binary64`
281×	`associate-r_binary64`

Counts

104 → 66

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	1589
1	110	1188
2	216	1183
3	739	1183
4	2144	1183
5	4933	1183

prune49.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	4	67

Error

0.0b

Counts

67 → 4

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))
	0.1b	(+.f64 (.f64 2 (.f64 y x)) (+.f64 (.f64 t x) (+.f64 (.f64 5 y) (.f64 2 (.f64 z x)))))
✓	0.1b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))
	1.2b	(.f64 (.f64 (cbrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (.f64 y 5))) (cbrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (.f64 y 5)))) (cbrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))))

Compiler

Compiled 1076 to 590 computations (45.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 2 (+.f64 y z) t)
✓	0.0b	(*.f64 x (fma.f64 2 (+.f64 y z) t))
✓	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))

series38.0ms (0.5%)

Counts

3 → 132

Calls

3 calls:

18.0ms	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))
14.0ms	(*.f64 x (fma.f64 2 (+.f64 y z) t))
6.0ms	(fma.f64 2 (+.f64 y z) t)

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-cube-cbrt_binary64`
5×	`add-cbrt-cube_binary64`
5×	`add-exp-log_binary64`

Counts

3 → 42

Calls

3 calls:

3.0ms	(*.f64 x (fma.f64 2 (+.f64 y z) t))
0.0ms	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))
0.0ms	(fma.f64 2 (+.f64 y z) t)

simplify129.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

871×	`fma-def_binary64`
401×	`associate-*l/_binary64`
340×	`*-commutative_binary64`
314×	`sqr-pow_binary64`
278×	`distribute-lft-in_binary64`

Counts

174 → 111

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	2547
1	173	1976
2	438	1972
3	1590	1972
4	2623	1972
5	2935	1972
6	3337	1972
7	4839	1972
8	4814	1972

prune97.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	111	4	115

Error

0.0b

Counts

115 → 4

Alt Table

Status	Error	Program
	0.7b	(fma.f64 5 y (.f64 (.f64 x (*.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))) (cbrt.f64 (fma.f64 2 (+.f64 y z) t))))
✓	0.1b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))
▶	0.0b	(fma.f64 5 y (+.f64 (.f64 (.f64 2 (+.f64 y z)) x) (*.f64 t x)))
	1.2b	(.f64 (.f64 (cbrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (.f64 y 5))) (cbrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (.f64 y 5)))) (cbrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))))

Compiler

Compiled 1832 to 967 computations (47.2% saved)

localize50.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 2 (+.f64 y z)) x)
✓	0.0b	(+.f64 (.f64 (.f64 2 (+.f64 y z)) x) (*.f64 t x))
✓	0.0b	(fma.f64 5 y (+.f64 (.f64 (.f64 2 (+.f64 y z)) x) (*.f64 t x)))

series44.0ms (0.5%)

Counts

3 → 132

Calls

3 calls:

19.0ms	(fma.f64 5 y (+.f64 (.f64 (.f64 2 (+.f64 y z)) x) (*.f64 t x)))
17.0ms	(+.f64 (.f64 (.f64 2 (+.f64 y z)) x) (*.f64 t x))
9.0ms	(.f64 (.f64 2 (+.f64 y z)) x)

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-cbrt-cube_binary64`
8×	`add-exp-log_binary64`
8×	`pow1_binary64`
5×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64`

Counts

3 → 47

Calls

3 calls:

6.0ms	(+.f64 (.f64 (.f64 2 (+.f64 y z)) x) (*.f64 t x))
5.0ms	(.f64 (.f64 2 (+.f64 y z)) x)
0.0ms	(fma.f64 5 y (+.f64 (.f64 (.f64 2 (+.f64 y z)) x) (*.f64 t x)))

simplify136.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

756×	`distribute-rgt-in_binary64`
742×	`distribute-lft-in_binary64`
627×	`fma-def_binary64`
216×	`fma-neg_binary64`
161×	`associate-l_binary64`

Counts

179 → 101

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	2722
1	344	2172
2	1177	2163
3	4861	2163
4	4999	2163

prune67.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	101	4	105

Error

0.0b

Counts

105 → 4

Alt Table

Status	Error	Program
▶	0.7b	(fma.f64 5 y (.f64 (.f64 x (*.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))) (cbrt.f64 (fma.f64 2 (+.f64 y z) t))))
✓	0.1b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))
✓	0.0b	(fma.f64 5 y (+.f64 (.f64 (.f64 2 (+.f64 y z)) x) (*.f64 t x)))
	1.2b	(.f64 (.f64 (cbrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (.f64 y 5))) (cbrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (.f64 y 5)))) (cbrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))))

Compiler

Compiled 2039 to 1003 computations (50.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 x (.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t))))
✓	0.4b	(.f64 (.f64 x (*.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))
✓	0.4b	(cbrt.f64 (fma.f64 2 (+.f64 y z) t))
✓	0.5b	(*.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))

series700.0ms (8.6%)

Counts

4 → 168

Calls

4 calls:

554.0ms	(.f64 x (.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t))))
81.0ms	(*.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))
48.0ms	(cbrt.f64 (fma.f64 2 (+.f64 y z) t))
17.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
25×	`pow1_binary64`
22×	`cbrt-prod_binary64`
20×	`add-exp-log_binary64`
16×	`*-un-lft-identity_binary64`

Counts

4 → 102

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))
7.0ms	(.f64 x (.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t))))
7.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))
1.0ms	(cbrt.f64 (fma.f64 2 (+.f64 y z) t))

simplify243.0ms (3%)

Algorithm

1×	egg-herbie

Rules

582×	`*-commutative_binary64`
322×	`+-commutative_binary64`
290×	`fma-def_binary64`
252×	`associate-r_binary64`
219×	`associate-+r+_binary64`

Counts

270 → 365

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1315	16776
1	4332	16325
2	5271	16325

prune891.0ms (10.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	549	0	549
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	549	4	553

Error

0.0b

Counts

553 → 4

Alt Table

Status	Error	Program
✓	0.7b	(fma.f64 5 y (.f64 (.f64 x (*.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))) (cbrt.f64 (fma.f64 2 (+.f64 y z) t))))
✓	0.1b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))
✓	0.0b	(fma.f64 5 y (+.f64 (.f64 (.f64 2 (+.f64 y z)) x) (*.f64 t x)))
	1.2b	(.f64 (.f64 (cbrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (.f64 y 5))) (cbrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (.f64 y 5)))) (cbrt.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))))

Compiler

Compiled 39991 to 27276 computations (31.8% saved)

regimes484.0ms (5.9%)

Accuracy

Total 0.0b remaining (26.8%)

Threshold costs 0.0b (26.8%)

Counts

92 → 1

Compiler

Compiled 7323 to 5106 computations (30.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	15	18
2	15	18

end90.0ms (1.1%)

Compiler: Compiled 141 to 88 computations (37.6% saved)

Details

analyze3.4s (41.5%)

sample1.6s (19.3%)

simplify20.0ms (0.3%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series23.0ms (0.3%)

rewrite1.0ms (0%)

simplify55.0ms (0.7%)

prune49.0ms (0.6%)

localize7.0ms (0.1%)

series38.0ms (0.5%)

rewrite5.0ms (0.1%)

simplify129.0ms (1.6%)

prune97.0ms (1.2%)

localize50.0ms (0.6%)

series44.0ms (0.5%)

rewrite13.0ms (0.2%)

simplify136.0ms (1.7%)

prune67.0ms (0.8%)

localize13.0ms (0.2%)

series700.0ms (8.6%)

rewrite28.0ms (0.3%)

simplify243.0ms (3%)

prune891.0ms (10.9%)

regimes484.0ms (5.9%)

simplify2.0ms (0%)

end90.0ms (1.1%)

Profiling