Details

analyze102.0ms (3%)

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)

sample859.0ms (24.9%)

Results

716.0ms	8256×	body	128	valid
45.0ms	544×	body	128	invalid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify93.0ms (2.7%)

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%)

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

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(.f64 x (exp.f64 (.f64 y y)))

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series11.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

11.0ms

(*.f64 x (exp.f64 (*.f64 y y)))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 20

Calls

1 calls:

3.0ms

(*.f64 x (exp.f64 (*.f64 y y)))

simplify74.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1088×	`fma-def_binary64`
514×	`distribute-rgt-out_binary64`
319×	`distribute-rgt-in_binary64`
298×	`*-commutative_binary64`
283×	`distribute-lft-in_binary64`

Counts

44 → 38

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	500
1	119	462
2	339	455
3	810	453
4	1612	453
5	3757	453
6	4476	453
7	4923	453

prune28.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	2	39

Error

0.0b

Counts

39 → 2

Alt Table

Status	Error	Program
	1.4b	(.f64 (.f64 (cbrt.f64 (.f64 x (exp.f64 (.f64 y y)))) (cbrt.f64 (.f64 x (exp.f64 (.f64 y y))))) (cbrt.f64 (.f64 x (exp.f64 (.f64 y y)))))
▶	0.2b	(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 1/2 (*.f64 (pow.f64 y 4) x)) x))

Status

Error

Program

1.4b

(*.f64 (*.f64 (cbrt.f64 (*.f64 x (exp.f64 (*.f64 y y)))) (cbrt.f64 (*.f64 x (exp.f64 (*.f64 y y))))) (cbrt.f64 (*.f64 x (exp.f64 (*.f64 y y)))))

▶

0.2b

(+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 4) x)) x))

Compiler

Compiled 514 to 171 computations (66.7% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 1/2 (*.f64 (pow.f64 y 4) x)) x))
✓	3.8b	(*.f64 (pow.f64 y 4) x)
✓	7.1b	(*.f64 (pow.f64 y 2) x)

series54.0ms (1.6%)

Counts

3 → 18

Calls

3 calls:

27.0ms	(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 1/2 (*.f64 (pow.f64 y 4) x)) x))
18.0ms	(*.f64 (pow.f64 y 4) x)
8.0ms	(*.f64 (pow.f64 y 2) x)

rewrite20.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
15×	`associate-l_binary64`
13×	`add-exp-log_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-cube-cbrt_binary64`

Counts

3 → 72

Calls

3 calls:

7.0ms	(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 1/2 (*.f64 (pow.f64 y 4) x)) x))
4.0ms	(*.f64 (pow.f64 y 2) x)
4.0ms	(*.f64 (pow.f64 y 4) x)

simplify87.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

898×	`fma-neg_binary64`
410×	`unswap-sqr_binary64`
364×	`fma-def_binary64`
304×	`cancel-sign-sub-inv_binary64`
264×	`distribute-rgt-in_binary64`

Counts

90 → 121

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	1310
1	283	1147
2	851	1090
3	2406	1085
4	4436	1085
5	5000	1085

prune85.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	121	2	123

Error

0.0b

Counts

123 → 2

Alt Table

Status	Error	Program
▶	1.4b	(.f64 (.f64 (cbrt.f64 (.f64 x (exp.f64 (.f64 y y)))) (cbrt.f64 (.f64 x (exp.f64 (.f64 y y))))) (cbrt.f64 (.f64 x (exp.f64 (.f64 y y)))))
✓	0.2b	(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 1/2 (*.f64 (pow.f64 y 4) x)) x))

Status

Error

Program

▶

1.4b

(*.f64 (*.f64 (cbrt.f64 (*.f64 x (exp.f64 (*.f64 y y)))) (cbrt.f64 (*.f64 x (exp.f64 (*.f64 y y))))) (cbrt.f64 (*.f64 x (exp.f64 (*.f64 y y)))))

✓

0.2b

(+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 4) x)) x))

Compiler

Compiled 2563 to 1635 computations (36.2% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 x (exp.f64 (.f64 y y)))
✓	0.3b	(.f64 (.f64 (cbrt.f64 (.f64 x (exp.f64 (.f64 y y)))) (cbrt.f64 (.f64 x (exp.f64 (.f64 y y))))) (cbrt.f64 (.f64 x (exp.f64 (.f64 y y)))))
✓	0.5b	(.f64 (cbrt.f64 (.f64 x (exp.f64 (.f64 y y)))) (cbrt.f64 (.f64 x (exp.f64 (*.f64 y y)))))
✓	0.5b	(cbrt.f64 (.f64 x (exp.f64 (.f64 y y))))

series1.5s (44.6%)

Counts

3 → 72

Calls

3 calls:

894.0ms

(*.f64 (cbrt.f64 (*.f64 x (exp.f64 (*.f64 y y)))) (cbrt.f64 (*.f64 x (exp.f64 (*.f64 y y)))))

622.0ms

(cbrt.f64 (*.f64 x (exp.f64 (*.f64 y y))))

24.0ms

(*.f64 (*.f64 (cbrt.f64 (*.f64 x (exp.f64 (*.f64 y y)))) (cbrt.f64 (*.f64 x (exp.f64 (*.f64 y y))))) (cbrt.f64 (*.f64 x (exp.f64 (*.f64 y y)))))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
16×	`pow1/3_binary64`
11×	`pow-prod-up_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64`

Counts

3 → 79

Calls

3 calls:

6.0ms

(*.f64 (*.f64 (cbrt.f64 (*.f64 x (exp.f64 (*.f64 y y)))) (cbrt.f64 (*.f64 x (exp.f64 (*.f64 y y))))) (cbrt.f64 (*.f64 x (exp.f64 (*.f64 y y)))))

4.0ms

(*.f64 (cbrt.f64 (*.f64 x (exp.f64 (*.f64 y y)))) (cbrt.f64 (*.f64 x (exp.f64 (*.f64 y y)))))

2.0ms

(cbrt.f64 (*.f64 x (exp.f64 (*.f64 y y))))

simplify105.0ms (3%)

Algorithm

1×	egg-herbie

Rules

426×	`fma-def_binary64`
353×	`*-commutative_binary64`
331×	`unswap-sqr_binary64`
307×	`associate-+l+_binary64`
304×	`fma-neg_binary64`

Counts

151 → 135

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	153	2629
1	357	2028
2	1041	1841
3	2290	1722
4	4892	1722
5	5065	1722

prune115.0ms (3.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	303	0	303
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	303	2	305

Error

0.0b

Counts

305 → 2

Alt Table

Status	Error	Program
✓	1.4b	(.f64 (.f64 (cbrt.f64 (.f64 x (exp.f64 (.f64 y y)))) (cbrt.f64 (.f64 x (exp.f64 (.f64 y y))))) (cbrt.f64 (.f64 x (exp.f64 (.f64 y y)))))
✓	0.2b	(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 1/2 (*.f64 (pow.f64 y 4) x)) x))

Status

Error

Program

✓

1.4b

(*.f64 (*.f64 (cbrt.f64 (*.f64 x (exp.f64 (*.f64 y y)))) (cbrt.f64 (*.f64 x (exp.f64 (*.f64 y y))))) (cbrt.f64 (*.f64 x (exp.f64 (*.f64 y y)))))

✓

0.2b

(+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 4) x)) x))

Compiler

Compiled 8186 to 1579 computations (80.7% saved)

regimes187.0ms (5.4%)

Accuracy

Total -0.0b remaining (-6.4%)

Threshold costs -0.0b (-6.4%)

Counts

45 → 1

Compiler

Compiled 3285 to 1927 computations (41.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`*-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	11	9

end48.0ms (1.4%)

Compiler: Compiled 58 to 30 computations (48.3% saved)

Details

analyze102.0ms (3%)

sample859.0ms (24.9%)

simplify93.0ms (2.7%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series11.0ms (0.3%)

rewrite4.0ms (0.1%)

simplify74.0ms (2.1%)

prune28.0ms (0.8%)

localize8.0ms (0.2%)

series54.0ms (1.6%)

rewrite20.0ms (0.6%)

simplify87.0ms (2.5%)

prune85.0ms (2.5%)

localize7.0ms (0.2%)

series1.5s (44.6%)

rewrite16.0ms (0.5%)

simplify105.0ms (3%)

prune115.0ms (3.3%)

regimes187.0ms (5.4%)

simplify2.0ms (0.1%)

end48.0ms (1.4%)

Profiling