Details

analyze650.0ms (9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	75%	25%	3
0%	62.5%	37.5%	4
0%	56.2%	43.8%	5
0%	53.1%	46.9%	6
0%	51.5%	48.5%	7
0%	50.8%	49.2%	8
0%	50.4%	49.6%	9
0%	50.2%	49.8%	10
0%	50.1%	49.9%	11
0%	50%	50%	12
0%	50%	50%	13
0%	50%	50%	14

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample854.0ms (11.9%)

Results

774.0ms	8256×	body	128	valid
52.0ms	41×	body	8192	exit
0.0ms	2×	body	128	invalid

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	5	6
2	5	6

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

0.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.2b	(*.f64 x (log.f64 x))

Compiler

Compiled 15 to 9 computations (40% saved)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (log.f64 x))

series31.0ms (0.4%)

Counts

1 → 12

Calls

1 calls:

31.0ms

(*.f64 x (log.f64 x))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
6×	`log-prod_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-cube-cbrt_binary64`
4×	`associate-r_binary64`

Counts

1 → 27

Calls

1 calls:

3.0ms

(*.f64 x (log.f64 x))

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1025×	`fma-def_binary64`
501×	`sub-neg_binary64`
395×	`div-sub_binary64`
347×	`fma-neg_binary64`
343×	`distribute-rgt-neg-out_binary64`

Counts

39 → 33

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	359
1	96	325
2	258	325
3	452	325
4	1256	325
5	2761	325
6	4564	325
7	5019	325

prune22.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	27	6	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	7	34

Error

0.0b

Counts

34 → 7

Alt Table

Status	Error	Program
✓	0.2b	(*.f64 x (log.f64 x))
	33.6b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
	1.3b	(.f64 (.f64 x (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))) (cbrt.f64 (log.f64 x)))
	0.6b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
	1.4b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (log.f64 x)))
▶	0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
	1.4b	(.f64 (.f64 (cbrt.f64 (.f64 x (log.f64 x))) (cbrt.f64 (.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x))))

Compiler

Compiled 463 to 176 computations (62% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
✓	0.2b	(*.f64 x (log.f64 (cbrt.f64 x)))
✓	0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
✓	0.6b	(cbrt.f64 x)

series2.0s (27.7%)

Counts

4 → 48

Calls

4 calls:

687.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
636.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
635.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
30.0ms	(cbrt.f64 x)

rewrite19.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`log-prod_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`
15×	`cbrt-prod_binary64`

Counts

4 → 94

Calls

4 calls:

6.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
5.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
4.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
1.0ms	(cbrt.f64 x)

simplify108.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

567×	`fma-def_binary64`
553×	`fma-neg_binary64`
539×	`*-commutative_binary64`
343×	`distribute-rgt-in_binary64`
313×	`distribute-lft-in_binary64`

Counts

142 → 148

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	1944
1	331	1653
2	1351	1504
3	4065	1496
4	4920	1496
5	4931	1496

prune102.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	162	4	166
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	166	7	173

Error

0.0b

Counts

173 → 7

Alt Table

Status	Error	Program
✓	0.2b	(*.f64 x (log.f64 x))
	0.7b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (log.f64 (cbrt.f64 x)))))
	0.6b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
▶	0.3b	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 x (log.f64 (cbrt.f64 x))))
	0.5b	(.f64 3 (.f64 (log.f64 (pow.f64 x 1/3)) x))
	1.4b	(.f64 (.f64 (cbrt.f64 (.f64 x (log.f64 x))) (cbrt.f64 (.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x))))
	0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (.f64 (.f64 x 1/3) (log.f64 x)))

Compiler

Compiled 3143 to 1248 computations (60.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (cbrt.f64 x))
	0.2b	(*.f64 x (log.f64 (cbrt.f64 x)))
✓	0.2b	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 x (log.f64 (cbrt.f64 x))))
	0.6b	(cbrt.f64 x)

series2.0s (27.4%)

Counts

2 → 24

Calls

2 calls:

1.3s	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 x (log.f64 (cbrt.f64 x))))
619.0ms	(log.f64 (cbrt.f64 x))

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`log-prod_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64`
3×	`cbrt-prod_binary64`

Counts

2 → 28

Calls

2 calls:

1.0ms	(log.f64 (cbrt.f64 x))
0.0ms	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 x (log.f64 (cbrt.f64 x))))

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Rules

435×	`distribute-rgt-in_binary64`
424×	`distribute-lft-in_binary64`
413×	`log-prod_binary64`
230×	`fma-neg_binary64`
225×	`*-commutative_binary64`

Counts

52 → 49

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	679
1	102	573
2	229	447
3	665	435
4	2605	435
5	4655	435
6	5181	435

prune116.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	153	2	155
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	156	6	162

Error

Counts

162 → 6

Alt Table

Status	Error	Program
✓	0.2b	(*.f64 x (log.f64 x))
	0.3b	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 x (cbrt.f64 (.f64 (.f64 (log.f64 (cbrt.f64 x)) (log.f64 (cbrt.f64 x))) (log.f64 (cbrt.f64 x))))))
▶	0.2b	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 (*.f64 x 1/3) (log.f64 x)))
	1.4b	(.f64 (.f64 (cbrt.f64 (.f64 x (log.f64 x))) (cbrt.f64 (.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x))))
	0.6b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
	0.5b	(.f64 3 (.f64 (log.f64 (pow.f64 x 1/3)) x))

Compiler

Compiled 2685 to 1004 computations (62.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 (*.f64 x 1/3) (log.f64 x)))
✓	0.3b	(.f64 (.f64 x 1/3) (log.f64 x))
✓	0.3b	(*.f64 x 1/3)
	0.6b	(cbrt.f64 x)

series673.0ms (9.4%)

Counts

3 → 36

Calls

3 calls:

647.0ms	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 (*.f64 x 1/3) (log.f64 x)))
24.0ms	(.f64 (.f64 x 1/3) (log.f64 x))
2.0ms	(*.f64 x 1/3)

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
8×	`*-un-lft-identity_binary64`

Counts

3 → 57

Calls

3 calls:

4.0ms	(.f64 (.f64 x 1/3) (log.f64 x))
3.0ms	(*.f64 x 1/3)
0.0ms	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 (*.f64 x 1/3) (log.f64 x)))

simplify109.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

878×	`fma-neg_binary64`
358×	`*-commutative_binary64`
281×	`associate-+r+_binary64`
281×	`associate-+l+_binary64`
235×	`exp-prod_binary64`

Counts

93 → 95

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	125	1192
1	261	954
2	861	850
3	1579	806
4	3558	806
5	4975	798
6	4962	798
7	4789	798

prune87.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	113	6	119

Error

Counts

119 → 6

Alt Table

Status	Error	Program
✓	0.2b	(*.f64 x (log.f64 x))
	0.3b	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 x (cbrt.f64 (.f64 (.f64 (log.f64 (cbrt.f64 x)) (log.f64 (cbrt.f64 x))) (log.f64 (cbrt.f64 x))))))
✓	0.2b	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 (*.f64 x 1/3) (log.f64 x)))
	1.4b	(.f64 (.f64 (cbrt.f64 (.f64 x (log.f64 x))) (cbrt.f64 (.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x))))
	0.6b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
	0.5b	(.f64 3 (.f64 (log.f64 (pow.f64 x 1/3)) x))

Compiler

Compiled 2032 to 1038 computations (48.9% saved)

regimes185.0ms (2.6%)

Accuracy

Total 0.2b remaining (92.3%)

Threshold costs 0.2b (92.3%)

Counts

73 → 1

Compiler

Compiled 2352 to 1444 computations (38.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	5	6
2	5	6

end76.0ms (1.1%)

Compiler: Compiled 87 to 47 computations (46% saved)

Details

analyze650.0ms (9%)

sample854.0ms (11.9%)

simplify8.0ms (0.1%)

prune1.0ms (0%)

localize3.0ms (0%)

series31.0ms (0.4%)

rewrite4.0ms (0.1%)

simplify67.0ms (0.9%)

prune22.0ms (0.3%)

localize8.0ms (0.1%)

series2.0s (27.7%)

rewrite19.0ms (0.3%)

simplify108.0ms (1.5%)

prune102.0ms (1.4%)

localize8.0ms (0.1%)

series2.0s (27.4%)

rewrite2.0ms (0%)

simplify71.0ms (1%)

prune116.0ms (1.6%)

localize11.0ms (0.2%)

series673.0ms (9.4%)

rewrite10.0ms (0.1%)

simplify109.0ms (1.5%)

prune87.0ms (1.2%)

regimes185.0ms (2.6%)

simplify2.0ms (0%)

end76.0ms (1.1%)

Profiling