Details

analyze425.0ms (15.1%)

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)

sample861.0ms (30.6%)

Results

764.0ms	8256×	body	128	valid
61.0ms	686×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify6.0ms (0.2%)

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 (0.1%)

Local error

Found 1 expressions with local error:

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

series10.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

10.0ms

(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 (2.4%)

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

prune11.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	3	24

Error

0.0b

Counts

24 → 3

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 z (*.f64 y z) x)
	30.3b	(.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x)) (sqrt.f64 (fma.f64 z (*.f64 y z) x)))
▶	7.1b	(fma.f64 y (*.f64 z z) x)

Compiler

Compiled 290 to 83 computations (71.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.7b	(fma.f64 y (*.f64 z z) x)

series13.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

13.0ms

(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)

simplify52.0ms (1.9%)

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

prune6.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	16	3	19

Error

0.0b

Counts

19 → 3

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 z (*.f64 y z) x)
▶	30.3b	(.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x)) (sqrt.f64 (fma.f64 z (*.f64 y z) x)))
✓	7.1b	(fma.f64 y (*.f64 z z) x)

Compiler

Compiled 204 to 61 computations (70.1% 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)))

series218.0ms (7.7%)

Counts

2 → 56

Calls

2 calls:

209.0ms	(sqrt.f64 (fma.f64 z (*.f64 y z) x))
9.0ms	(.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x)) (sqrt.f64 (fma.f64 z (*.f64 y z) x)))

rewrite12.0ms (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))

simplify70.0ms (2.5%)

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

prune98.0ms (3.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	205	1	206
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	205	4	209

Error

0.0b

Counts

209 → 4

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 z (*.f64 y z) x)
▶	30.8b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x))) (cbrt.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x))) (sqrt.f64 (fma.f64 z (*.f64 y z) x))))
✓	30.3b	(.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x)) (sqrt.f64 (fma.f64 z (*.f64 y z) x)))
✓	7.1b	(fma.f64 y (*.f64 z z) x)

Compiler

Compiled 4725 to 1251 computations (73.5% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x))) (cbrt.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x))) (sqrt.f64 (fma.f64 z (*.f64 y z) x))))
✓	0.2b	(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x))) (sqrt.f64 (fma.f64 z (*.f64 y z) x)))
✓	0.3b	(cbrt.f64 (sqrt.f64 (fma.f64 z (*.f64 y z) x)))
✓	0.3b	(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x))) (cbrt.f64 (sqrt.f64 (fma.f64 z (*.f64 y z) x))))

series230.0ms (8.2%)

Counts

4 → 144

Calls

4 calls:

101.0ms	(cbrt.f64 (sqrt.f64 (fma.f64 z (*.f64 y z) x)))
64.0ms	(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x))) (sqrt.f64 (fma.f64 z (*.f64 y z) x)))
55.0ms	(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x))) (cbrt.f64 (sqrt.f64 (fma.f64 z (*.f64 y z) x))))
10.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x))) (cbrt.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x))) (sqrt.f64 (fma.f64 z (*.f64 y z) x))))

rewrite37.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`add-sqr-sqrt_binary64`
56×	`cbrt-prod_binary64`
34×	`sqrt-prod_binary64`
28×	`pow1_binary64`
23×	`*-un-lft-identity_binary64`

Counts

4 → 138

Calls

4 calls:

10.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x))) (cbrt.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x))) (sqrt.f64 (fma.f64 z (*.f64 y z) x))))
7.0ms	(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x))) (cbrt.f64 (sqrt.f64 (fma.f64 z (*.f64 y z) x))))
5.0ms	(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x))) (sqrt.f64 (fma.f64 z (*.f64 y z) x)))
1.0ms	(cbrt.f64 (sqrt.f64 (fma.f64 z (*.f64 y z) x)))

simplify180.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

391×	`associate-l_binary64`
373×	`times-frac_binary64`
351×	`associate-/r*_binary64`
233×	`fma-def_binary64`
232×	`associate-/l*_binary64`

Counts

282 → 343

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	537	10285
1	1647	9649
2	5027	9649

prune338.0ms (12%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	505	0	505
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	505	4	509

Error

0.0b

Counts

509 → 4

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 z (*.f64 y z) x)
✓	30.8b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x))) (cbrt.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x)))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x))) (sqrt.f64 (fma.f64 z (*.f64 y z) x))))
✓	30.3b	(.f64 (sqrt.f64 (fma.f64 z (.f64 y z) x)) (sqrt.f64 (fma.f64 z (*.f64 y z) x)))
✓	7.1b	(fma.f64 y (*.f64 z z) x)

Compiler

Compiled 27700 to 9621 computations (65.3% saved)

regimes99.0ms (3.5%)

Accuracy

Total 0.0b remaining (59.1%)

Threshold costs 0.0b (59.1%)

Counts

20 → 1

Compiler

Compiled 1935 to 914 computations (52.8% 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

end50.0ms (1.8%)

Compiler: Compiled 91 to 37 computations (59.3% saved)

Details

analyze425.0ms (15.1%)

sample861.0ms (30.6%)

simplify6.0ms (0.2%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

series10.0ms (0.4%)

rewrite1.0ms (0%)

simplify68.0ms (2.4%)

prune11.0ms (0.4%)

localize4.0ms (0.1%)

series13.0ms (0.5%)

rewrite1.0ms (0%)

simplify52.0ms (1.9%)

prune6.0ms (0.2%)

localize6.0ms (0.2%)

series218.0ms (7.7%)

rewrite12.0ms (0.4%)

simplify70.0ms (2.5%)

prune98.0ms (3.5%)

localize10.0ms (0.3%)

series230.0ms (8.2%)

rewrite37.0ms (1.3%)

simplify180.0ms (6.4%)

prune338.0ms (12%)

regimes99.0ms (3.5%)

simplify2.0ms (0.1%)

end50.0ms (1.8%)

Profiling