Details

analyze107.0ms (4.1%)

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
37.5%	40.6%	22%	7
43.7%	32.8%	23.5%	8
43.7%	21.1%	35.2%	9
46.8%	16.8%	36.4%	10
46.8%	10.7%	42.4%	11
48.4%	8.5%	43.1%	12
48.4%	5.4%	46.2%	13
49.2%	4.3%	46.6%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample870.0ms (33.2%)

Results

719.0ms	8256×	body	128	valid
52.0ms	565×	body	128	invalid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify89.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

457×	`associate-l_binary64`
414×	`associate-*l/_binary64`
380×	`sqr-pow_binary64`
368×	`unswap-sqr_binary64`
321×	`exp-prod_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	9	9
2	13	9
3	22	9
4	48	9
5	110	9
6	268	9
7	777	9
8	1444	9
9	2361	9
10	2675	9
11	3160	9
12	4242	9
13	4964	9
14	4781	9

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.1b	(.f64 x (exp.f64 (.f64 y y)))

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (exp.f64 (.f64 y y)))
✓	0.1b	(exp.f64 (*.f64 y y))

series14.0ms (0.5%)

Counts

2 → 36

Calls

2 calls:

12.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	(exp.f64 (*.f64 y y))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`
4×	`pow1_binary64`

Counts

2 → 32

Calls

2 calls:

3.0ms	(.f64 x (exp.f64 (.f64 y y)))
1.0ms	(exp.f64 (*.f64 y y))

simplify77.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

775×	`fma-def_binary64`
515×	`distribute-rgt-out_binary64`
343×	`distribute-rgt-in_binary64`
316×	`*-commutative_binary64`
302×	`distribute-lft-in_binary64`

Counts

68 → 59

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	688
1	138	631
2	387	624
3	888	620
4	1789	620
5	3558	620
6	4544	620
7	4896	620

prune32.0ms (1.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	2	60

Error

0.0b

Counts

60 → 2

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 x (pow.f64 (exp.f64 y) y))
	0.9b	(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 1/2 (*.f64 (pow.f64 y 4) x)) x))

Compiler

Compiled 696 to 257 computations (63.1% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 y)
✓	0.0b	(pow.f64 (exp.f64 y) y)
✓	0.0b	(*.f64 x (pow.f64 (exp.f64 y) y))

series265.0ms (10.1%)

Counts

3 → 40

Calls

3 calls:

260.0ms	(*.f64 x (pow.f64 (exp.f64 y) y))
4.0ms	(pow.f64 (exp.f64 y) y)
1.0ms	(exp.f64 y)

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64`
7×	`associate-r_binary64`
7×	`unpow-prod-down_binary64`

Counts

3 → 62

Calls

3 calls:

4.0ms	(*.f64 x (pow.f64 (exp.f64 y) y))
2.0ms	(pow.f64 (exp.f64 y) y)
1.0ms	(exp.f64 y)

simplify79.0ms (3%)

Algorithm

1×	egg-herbie

Rules

486×	`distribute-rgt-in_binary64`
456×	`associate-l_binary64`
456×	`distribute-lft-in_binary64`
375×	`associate-r_binary64`
275×	`distribute-rgt-out_binary64`

Counts

102 → 109

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	998
1	233	939
2	678	930
3	1950	928
4	4959	928
5	5025	928

prune82.0ms (3.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	108	3	111

Error

0.0b

Counts

111 → 3

Alt Table

Status	Error	Program
▶	0.1b	(.f64 x (pow.f64 (exp.f64 1) (.f64 y y)))
	0.8b	(+.f64 x (.f64 x (fma.f64 y y (fma.f64 1/2 (pow.f64 y 4) (.f64 1/6 (pow.f64 y 6))))))
	32.2b	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (exp.f64 y) y))) (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (exp.f64 y) y))))

Compiler

Compiled 1301 to 492 computations (62.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (pow.f64 (exp.f64 1) (.f64 y y)))
✓	0.0b	(pow.f64 (exp.f64 1) (*.f64 y y))

series214.0ms (8.2%)

Counts

2 → 36

Calls

2 calls:

212.0ms	(.f64 x (pow.f64 (exp.f64 1) (.f64 y y)))
3.0ms	(pow.f64 (exp.f64 1) (*.f64 y y))

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
7×	`associate-r_binary64`
7×	`*-un-lft-identity_binary64`
7×	`unpow-prod-down_binary64`
7×	`add-cube-cbrt_binary64`

Counts

2 → 47

Calls

2 calls:

5.0ms	(.f64 x (pow.f64 (exp.f64 1) (.f64 y y)))
2.0ms	(pow.f64 (exp.f64 1) (*.f64 y y))

simplify66.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

992×	`fma-def_binary64`
525×	`times-frac_binary64`
436×	`*-commutative_binary64`
369×	`associate-l_binary64`
314×	`associate-r_binary64`

Counts

83 → 94

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	951
1	184	831
2	527	822
3	1473	818
4	3969	818
5	4952	818

prune70.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	94	3	97

Error

0.0b

Counts

97 → 3

Alt Table

Status	Error	Program
✓	0.1b	(.f64 x (pow.f64 (exp.f64 1) (.f64 y y)))
▶	0.8b	(+.f64 x (.f64 x (fma.f64 y y (fma.f64 1/2 (pow.f64 y 4) (.f64 1/6 (pow.f64 y 6))))))
	32.2b	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (exp.f64 y) y))) (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (exp.f64 y) y))))

Compiler

Compiled 1321 to 675 computations (48.9% saved)

localize12.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/2 (pow.f64 y 4) (*.f64 1/6 (pow.f64 y 6)))
✓	0.1b	(*.f64 1/6 (pow.f64 y 6))
✓	6.9b	(.f64 x (fma.f64 y y (fma.f64 1/2 (pow.f64 y 4) (.f64 1/6 (pow.f64 y 6)))))

series52.0ms (2%)

Counts

3 → 36

Calls

3 calls:

44.0ms	(.f64 x (fma.f64 y y (fma.f64 1/2 (pow.f64 y 4) (.f64 1/6 (pow.f64 y 6)))))
4.0ms	(fma.f64 1/2 (pow.f64 y 4) (*.f64 1/6 (pow.f64 y 6)))
3.0ms	(*.f64 1/6 (pow.f64 y 6))

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
10×	`associate-r_binary64`
10×	`add-exp-log_binary64`
8×	`*-un-lft-identity_binary64`
8×	`add-cube-cbrt_binary64`

Counts

3 → 59

Calls

3 calls:

5.0ms	(*.f64 1/6 (pow.f64 y 6))
3.0ms	(.f64 x (fma.f64 y y (fma.f64 1/2 (pow.f64 y 4) (.f64 1/6 (pow.f64 y 6)))))
0.0ms	(fma.f64 1/2 (pow.f64 y 4) (*.f64 1/6 (pow.f64 y 6)))

simplify93.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

609×	`associate-l_binary64`
532×	`associate-r_binary64`
432×	`log-prod_binary64`
422×	`unswap-sqr_binary64`
328×	`distribute-lft-in_binary64`

Counts

95 → 90

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	1725
1	216	1583
2	650	1551
3	2775	1551
4	4586	1551
5	4997	1551

prune85.0ms (3.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	90	3	93

Error

0.0b

Counts

93 → 3

Alt Table

Status	Error	Program
✓	0.1b	(.f64 x (pow.f64 (exp.f64 1) (.f64 y y)))
✓	0.8b	(+.f64 x (.f64 x (fma.f64 y y (fma.f64 1/2 (pow.f64 y 4) (.f64 1/6 (pow.f64 y 6))))))
	32.2b	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (exp.f64 y) y))) (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (exp.f64 y) y))))

Compiler

Compiled 2125 to 1447 computations (31.9% saved)

regimes302.0ms (11.5%)

Accuracy

Total 0.0b remaining (25.8%)

Threshold costs 0.0b (25.8%)

Counts

75 → 1

Compiler

Compiled 4983 to 3094 computations (37.9% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	9	18
2	9	18

end56.0ms (2.1%)

Compiler: Compiled 74 to 42 computations (43.2% saved)

Details

analyze107.0ms (4.1%)

sample870.0ms (33.2%)

simplify89.0ms (3.4%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series14.0ms (0.5%)

rewrite5.0ms (0.2%)

simplify77.0ms (2.9%)

prune32.0ms (1.2%)

localize5.0ms (0.2%)

series265.0ms (10.1%)

rewrite9.0ms (0.3%)

simplify79.0ms (3%)

prune82.0ms (3.1%)

localize6.0ms (0.2%)

series214.0ms (8.2%)

rewrite14.0ms (0.5%)

simplify66.0ms (2.5%)

prune70.0ms (2.7%)

localize12.0ms (0.5%)

series52.0ms (2%)

rewrite10.0ms (0.4%)

simplify93.0ms (3.5%)

prune85.0ms (3.2%)

regimes302.0ms (11.5%)

simplify4.0ms (0.1%)

end56.0ms (2.1%)

Profiling