Details

analyze430.0ms (18.2%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
28.1%	71.8%	0.1%	9
37.4%	49.9%	12.6%	10
43.7%	43.7%	12.6%	11
49.1%	38.2%	12.6%	12
54.6%	26.5%	18.9%	13
58.5%	22.6%	18.9%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample898.0ms (37.9%)

Results

802.0ms	8256×	body	128	valid
64.0ms	662×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`associate-r_binary64`
1×	`associate-l_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	8
2	16	8
3	17	8
4	17	8

prune2.0ms (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

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 z (*.f64 y z) x)

Compiler

Compiled 34 to 17 computations (50% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 z (*.f64 y z) x)

series11.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

11.0ms

(fma.f64 z (*.f64 y z) x)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 z (*.f64 y z) x)

simplify68.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

557×	`fma-def_binary64`
534×	`unswap-sqr_binary64`
444×	`*-commutative_binary64`
374×	`distribute-rgt-in_binary64`
370×	`distribute-lft-in_binary64`

Counts

46 → 23

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	382
1	32	365
2	56	365
3	152	365
4	615	365
5	2186	365
6	2764	365
7	4969	365
8	5049	365

prune13.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	20	3	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	4	24

Error

0.0b

Counts

24 → 4

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 z (*.f64 y z) x)
	33.8b	(.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x)) (sqrt.f64 (fma.f64 z (*.f64 y z) x)))
	42.7b	(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z z) x) 3))
▶	3.7b	(fma.f64 y (*.f64 z z) x)

Compiler

Compiled 314 to 99 computations (68.5% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.4b	(fma.f64 y (*.f64 z z) x)

series11.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

11.0ms

(fma.f64 y (*.f64 z z) x)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 y (*.f64 z z) x)

simplify220.0ms (9.3%)

Algorithm

1×	egg-herbie

Rules

696×	`fma-def_binary64`
534×	`unswap-sqr_binary64`
466×	`*-commutative_binary64`
381×	`distribute-rgt-out_binary64`
378×	`distribute-rgt-in_binary64`

Counts

46 → 16

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	382
1	28	365
2	60	365
3	160	365
4	627	365
5	2383	365
6	2894	365
7	4999	365

prune8.0ms (0.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	16	4	20

Error

0.0b

Counts

20 → 4

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 z (*.f64 y z) x)
▶	33.8b	(.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x)) (sqrt.f64 (fma.f64 z (*.f64 y z) x)))
	42.7b	(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z z) x) 3))
✓	3.7b	(fma.f64 y (*.f64 z z) x)

Compiler

Compiled 228 to 77 computations (66.2% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fma.f64 z (*.f64 y z) x))
	0.1b	(fma.f64 z (*.f64 y z) x)
✓	0.3b	(.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x)) (sqrt.f64 (fma.f64 z (*.f64 y z) x)))

series54.0ms (2.3%)

Counts

2 → 56

Calls

2 calls:

44.0ms	(sqrt.f64 (fma.f64 z (*.f64 y z) x))
10.0ms	(.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x)) (sqrt.f64 (fma.f64 z (*.f64 y z) x)))

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
21×	`sqrt-prod_binary64`
18×	`pow1_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`

Counts

2 → 68

Calls

2 calls:

5.0ms	(.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x)) (sqrt.f64 (fma.f64 z (*.f64 y z) x)))
1.0ms	(sqrt.f64 (fma.f64 z (*.f64 y z) x))

simplify123.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

651×	`fma-neg_binary64`
532×	`associate-l_binary64`
529×	`associate-r_binary64`
526×	`unswap-sqr_binary64`
232×	`fma-def_binary64`

Counts

124 → 114

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	1965
1	273	1822
2	813	1768
3	3429	1740
4	5053	1740

prune79.0ms (3.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	206	0	206
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	206	4	210

Error

0.0b

Counts

210 → 4

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 z (*.f64 y z) x)
✓	33.8b	(.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x)) (sqrt.f64 (fma.f64 z (*.f64 y z) x)))
▶	42.7b	(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z z) x) 3))
✓	3.7b	(fma.f64 y (*.f64 z z) x)

Compiler

Compiled 4675 to 1247 computations (73.3% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (fma.f64 y (*.f64 z z) x) 3)
	3.4b	(fma.f64 y (*.f64 z z) x)
✓	40.3b	(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z z) x) 3))

series54.0ms (2.3%)

Counts

2 → 72

Calls

2 calls:

43.0ms	(pow.f64 (fma.f64 y (*.f64 z z) x) 3)
11.0ms	(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z z) x) 3))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64`
8×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64`
6×	`cube-prod_binary64`

Counts

2 → 48

Calls

2 calls:

1.0ms	(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z z) x) 3))
1.0ms	(pow.f64 (fma.f64 y (*.f64 z z) x) 3)

simplify122.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

575×	`exp-prod_binary64`
515×	`associate-l_binary64`
426×	`associate-r_binary64`
368×	`log-prod_binary64`
296×	`cube-prod_binary64`

Counts

120 → 72

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	85	2041
1	182	1954
2	524	1767
3	2457	1767
4	4194	1764
5	4950	1764
6	4935	1764

prune35.0ms (1.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	87	5	92

Error

0.0b

Counts

92 → 5

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 z (*.f64 y z) x)
	33.2b	(.f64 (cbrt.f64 (.f64 (fma.f64 y (.f64 z z) x) (fma.f64 y (.f64 z z) x))) (cbrt.f64 (fma.f64 y (*.f64 z z) x)))
✓	33.8b	(.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x)) (sqrt.f64 (fma.f64 z (*.f64 y z) x)))
✓	42.7b	(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z z) x) 3))
✓	3.7b	(fma.f64 y (*.f64 z z) x)

Compiler

Compiled 1441 to 596 computations (58.6% saved)

regimes115.0ms (4.9%)

Accuracy

Total 0.1b remaining (61.1%)

Threshold costs 0.1b (61.1%)

Counts

24 → 1

Compiler

Compiled 1637 to 1015 computations (38% 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
2	7	8

end74.0ms (3.1%)

Compiler: Compiled 91 to 44 computations (51.6% saved)

Details

analyze430.0ms (18.2%)

sample898.0ms (37.9%)

simplify6.0ms (0.3%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series11.0ms (0.5%)

rewrite1.0ms (0%)

simplify68.0ms (2.9%)

prune13.0ms (0.5%)

localize8.0ms (0.4%)

series11.0ms (0.5%)

rewrite1.0ms (0%)

simplify220.0ms (9.3%)

prune8.0ms (0.3%)

localize6.0ms (0.2%)

series54.0ms (2.3%)

rewrite11.0ms (0.4%)

simplify123.0ms (5.2%)

prune79.0ms (3.3%)

localize7.0ms (0.3%)

series54.0ms (2.3%)

rewrite5.0ms (0.2%)

simplify122.0ms (5.2%)

prune35.0ms (1.5%)

regimes115.0ms (4.9%)

simplify2.0ms (0.1%)

end74.0ms (3.1%)

Profiling