Details

analyze121.0ms (4.2%)

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
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)

sample963.0ms (33.5%)

Results

806.0ms	8256×	body	128	valid
51.0ms	538×	body	128	invalid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify92.0ms (3.2%)

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

prune2.0ms (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

0.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.3b	(.f64 x (exp.f64 (.f64 y y)))

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (*.f64 y y))
✓	0.3b	(.f64 x (exp.f64 (.f64 y y)))

series15.0ms (0.5%)

Counts

2 → 36

Calls

2 calls:

13.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	(exp.f64 (*.f64 y y))

rewrite6.0ms (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×	`add-log-exp_binary64`

Counts

2 → 32

Calls

2 calls:

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

simplify86.0ms (3%)

Algorithm

1×	egg-herbie

Rules

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

Counts

68 → 58

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	4549	620
7	4896	620

prune38.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	3	59

Error

0.0b

Counts

59 → 3

Alt Table

Status	Error	Program
▶	0.4b	(+.f64 (.f64 1/6 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 1/2 (*.f64 (pow.f64 y 4) x)) x)))
✓	0.3b	(.f64 x (exp.f64 (.f64 y y)))
	38.9b	(exp.f64 (fma.f64 y y (log.f64 x)))

Compiler

Compiled 703 to 270 computations (61.6% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 1/6 (.f64 (pow.f64 y 6) x))
✓	2.1b	(*.f64 (pow.f64 y 6) x)
✓	4.1b	(*.f64 (pow.f64 y 4) x)
✓	7.0b	(*.f64 (pow.f64 y 2) x)

series66.0ms (2.3%)

Counts

4 → 0

Calls

4 calls:

20.0ms	(.f64 1/6 (.f64 (pow.f64 y 6) x))
19.0ms	(*.f64 (pow.f64 y 6) x)
16.0ms	(*.f64 (pow.f64 y 4) x)
11.0ms	(*.f64 (pow.f64 y 2) x)

rewrite22.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
29×	`add-exp-log_binary64`
25×	`associate-l_binary64`
16×	`prod-exp_binary64`
15×	`add-cbrt-cube_binary64`

Counts

4 → 104

Calls

4 calls:

5.0ms	(*.f64 (pow.f64 y 6) x)
4.0ms	(.f64 1/6 (.f64 (pow.f64 y 6) x))
4.0ms	(*.f64 (pow.f64 y 2) x)
4.0ms	(*.f64 (pow.f64 y 4) x)

simplify91.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

364×	`*-commutative_binary64`
328×	`associate-/l*_binary64`
322×	`sqr-pow_binary64`
298×	`log-prod_binary64`
291×	`exp-prod_binary64`

Counts

104 → 159

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	147	1193
1	299	1025
2	816	1025
3	1365	1025
4	2422	1025
5	4573	1025
6	4913	1025

prune150.0ms (5.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	159	3	162

Error

0.0b

Counts

162 → 3

Alt Table

Status	Error	Program
✓	0.4b	(+.f64 (.f64 1/6 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 1/2 (*.f64 (pow.f64 y 4) x)) x)))
✓	0.3b	(.f64 x (exp.f64 (.f64 y y)))
▶	38.9b	(exp.f64 (fma.f64 y y (log.f64 x)))

Compiler

Compiled 4610 to 3134 computations (32% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.6b	(exp.f64 (fma.f64 y y (log.f64 x)))

series34.0ms (1.2%)

Counts

1 → 16

Calls

1 calls:

34.0ms

(exp.f64 (fma.f64 y y (log.f64 x)))

rewrite2.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`exp-prod_binary64`
2×	`add-log-exp_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`

Counts

1 → 14

Calls

1 calls:

1.0ms

(exp.f64 (fma.f64 y y (log.f64 x)))

simplify90.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

665×	`fma-neg_binary64`
518×	`associate-l_binary64`
488×	`fma-def_binary64`
420×	`associate-r_binary64`
266×	`exp-sum_binary64`

Counts

30 → 27

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	331
1	115	314
2	255	308
3	722	305
4	3845	305
5	4836	305
6	4903	305
7	4999	305

prune11.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	27	3	30

Error

0.0b

Counts

30 → 3

Alt Table

Status	Error	Program
▶	51.2b	(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y y (log.f64 x)))) (sqrt.f64 (fma.f64 y y (log.f64 x))))
✓	0.4b	(+.f64 (.f64 1/6 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 1/2 (*.f64 (pow.f64 y 4) x)) x)))
✓	0.3b	(.f64 x (exp.f64 (.f64 y y)))

Compiler

Compiled 360 to 151 computations (58.1% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fma.f64 y y (log.f64 x)))
✓	0.4b	(exp.f64 (sqrt.f64 (fma.f64 y y (log.f64 x))))
✓	1.3b	(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y y (log.f64 x)))) (sqrt.f64 (fma.f64 y y (log.f64 x))))

series706.0ms (24.6%)

Counts

3 → 64

Calls

3 calls:

630.0ms	(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y y (log.f64 x)))) (sqrt.f64 (fma.f64 y y (log.f64 x))))
38.0ms	(exp.f64 (sqrt.f64 (fma.f64 y y (log.f64 x))))
37.0ms	(sqrt.f64 (fma.f64 y y (log.f64 x)))

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`exp-prod_binary64`
12×	`sqrt-prod_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`

Counts

3 → 59

Calls

3 calls:

3.0ms	(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y y (log.f64 x)))) (sqrt.f64 (fma.f64 y y (log.f64 x))))
1.0ms	(exp.f64 (sqrt.f64 (fma.f64 y y (log.f64 x))))
1.0ms	(sqrt.f64 (fma.f64 y y (log.f64 x)))

simplify99.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

843×	`fma-neg_binary64`
473×	`associate-r_binary64`
425×	`fma-def_binary64`
401×	`associate-l_binary64`
185×	`associate-+l+_binary64`

Counts

123 → 141

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	2152
1	404	1948
2	1132	1832
3	4525	1832
4	5243	1832

prune67.0ms (2.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	189	1	190
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	190	3	193

Error

0.0b

Counts

193 → 3

Alt Table

Status	Error	Program
✓	0.4b	(+.f64 (.f64 1/6 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 1/2 (*.f64 (pow.f64 y 4) x)) x)))
	51.3b	(pow.f64 (expm1.f64 (log1p.f64 (exp.f64 (sqrt.f64 (fma.f64 y y (log.f64 x)))))) (sqrt.f64 (fma.f64 y y (log.f64 x))))
✓	0.3b	(.f64 x (exp.f64 (.f64 y y)))

Compiler

Compiled 4260 to 1246 computations (70.8% saved)

regimes109.0ms (3.8%)

Accuracy

Total 0.0b remaining (60.8%)

Threshold costs 0.0b (60.8%)

Counts

23 → 1

Compiler

Compiled 1585 to 962 computations (39.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	10	21
2	10	21

end60.0ms (2.1%)

Compiler: Compiled 81 to 46 computations (43.2% saved)

Details

analyze121.0ms (4.2%)

sample963.0ms (33.5%)

simplify92.0ms (3.2%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

series15.0ms (0.5%)

rewrite6.0ms (0.2%)

simplify86.0ms (3%)

prune38.0ms (1.3%)

localize14.0ms (0.5%)

series66.0ms (2.3%)

rewrite22.0ms (0.8%)

simplify91.0ms (3.2%)

prune150.0ms (5.2%)

localize6.0ms (0.2%)

series34.0ms (1.2%)

rewrite2.0ms (0.1%)

simplify90.0ms (3.1%)

prune11.0ms (0.4%)

localize11.0ms (0.4%)

series706.0ms (24.6%)

rewrite8.0ms (0.3%)

simplify99.0ms (3.4%)

prune67.0ms (2.3%)

regimes109.0ms (3.8%)

simplify3.0ms (0.1%)

end60.0ms (2.1%)

Profiling