Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	50%	25%	3
37.5%	25%	37.5%	4
43.7%	12.5%	43.8%	5
46.9%	6.2%	46.9%	6
48.4%	3.1%	48.5%	7
49.2%	1.6%	49.2%	8
49.6%	0.8%	49.6%	9
49.6%	0.4%	50%	10
49.7%	0.2%	50.1%	11
49.7%	0.1%	50.2%	12
49.7%	0%	50.2%	13
49.7%	0%	50.2%	14

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample993.0ms (16.8%)

Results

913.0ms

8256×

body

128

valid

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify7.0ms (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

0.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.3b	(*.f64 x (log.f64 x))

Compiler

Compiled 15 to 9 computations (40% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 x (log.f64 x))

series32.0ms (0.5%)

Counts

1 → 12

Calls

1 calls:

32.0ms

(*.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))

simplify70.0ms (1.2%)

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

prune27.0ms (0.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	26	7	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	7	34

Error

0.0b

Counts

34 → 7

Alt Table

Status	Error	Program
	34.3b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
	1.3b	(.f64 (.f64 (cbrt.f64 (.f64 x (log.f64 x))) (cbrt.f64 (.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x))))
	0.4b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
	41.5b	(cbrt.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 (log.f64 x) (log.f64 x)) (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)))
▶	0.3b	(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))

Compiler

Compiled 484 to 191 computations (60.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 1 x))
✓	0.3b	(*.f64 (log.f64 (/.f64 1 x)) x)

series44.0ms (0.7%)

Counts

2 → 16

Calls

2 calls:

23.0ms	(*.f64 (log.f64 (/.f64 1 x)) x)
21.0ms	(log.f64 (/.f64 1 x))

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`log-prod_binary64`
13×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`

Counts

2 → 55

Calls

2 calls:

3.0ms	(*.f64 (log.f64 (/.f64 1 x)) x)
2.0ms	(log.f64 (/.f64 1 x))

simplify95.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

840×	`fma-def_binary64`
451×	`associate-/l*_binary64`
358×	`associate-l_binary64`
333×	`log-div_binary64`
248×	`unsub-neg_binary64`

Counts

71 → 79

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	649
1	112	599
2	357	592
3	835	586
4	1317	570
5	2222	570
6	4651	570
7	4980	570
8	5012	570

prune111.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	78	8	86

Error

0.0b

Counts

86 → 8

Alt Table

Status	Error	Program
	34.3b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
	1.3b	(.f64 (.f64 (cbrt.f64 (.f64 x (log.f64 x))) (cbrt.f64 (.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x))))
	30.3b	(.f64 -1 (.f64 (sqrt.f64 (neg.f64 (.f64 x (log.f64 x)))) (sqrt.f64 (neg.f64 (.f64 x (log.f64 x))))))
▶	0.4b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
	30.3b	(.f64 -1 (.f64 (sqrt.f64 (log.f64 (/.f64 1 x))) (*.f64 x (sqrt.f64 (neg.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)))
✓	0.3b	(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))

Compiler

Compiled 1212 to 769 computations (36.6% 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)

series1.9s (32.2%)

Counts

4 → 48

Calls

4 calls:

634.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
621.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
618.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
34.0ms	(cbrt.f64 x)

rewrite17.0ms (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:

5.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
4.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
3.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
1.0ms	(cbrt.f64 x)

simplify103.0ms (1.7%)

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

prune104.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	162	4	166
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	167	7	174

Error

Counts

174 → 7

Alt Table

Status	Error	Program
	0.5b	(+.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 (log.f64 x) 2/3))) (.f64 x (log.f64 (cbrt.f64 x))))
	30.3b	(.f64 -1 (.f64 (sqrt.f64 (neg.f64 (.f64 x (log.f64 x)))) (sqrt.f64 (neg.f64 (.f64 x (log.f64 x))))))
	0.4b	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 x 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
	0.4b	(.f64 x (+.f64 (.f64 (log.f64 (cbrt.f64 x)) 2) (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	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
✓	0.3b	(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))

Compiler

Compiled 3141 to 1258 computations (59.9% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (cbrt.f64 x))
✓	0.1b	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 x (log.f64 (cbrt.f64 x))))
	0.2b	(*.f64 x (log.f64 (cbrt.f64 x)))
	0.6b	(cbrt.f64 x)

series1.9s (32.5%)

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))))
650.0ms	(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))))

simplify66.0ms (1.1%)

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

prune108.0ms (1.8%)

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
✓	0.3b	(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
	0.3b	(fma.f64 x (.f64 (log.f64 (pow.f64 x 1/3)) 2) (.f64 x (log.f64 (cbrt.f64 x))))
	30.3b	(.f64 -1 (.f64 (sqrt.f64 (neg.f64 (.f64 x (log.f64 x)))) (sqrt.f64 (neg.f64 (.f64 x (log.f64 x))))))
	0.4b	(.f64 x (+.f64 (.f64 (log.f64 (cbrt.f64 x)) 2) (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 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 x)) 3))))

Compiler

Compiled 2612 to 972 computations (62.8% saved)

regimes173.0ms (2.9%)

Accuracy

Total 0.2b remaining (89.4%)

Threshold costs 0.2b (89.4%)

Counts

84 → 1

Compiler

Compiled 2248 to 1471 computations (34.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	13	20
2	13	20

end89.0ms (1.5%)

Compiler: Compiled 104 to 67 computations (35.6% saved)

Details

analyze4.0ms (0.1%)

sample993.0ms (16.8%)

simplify7.0ms (0.1%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series32.0ms (0.5%)

rewrite4.0ms (0.1%)

simplify70.0ms (1.2%)

prune27.0ms (0.5%)

localize5.0ms (0.1%)

series44.0ms (0.7%)

rewrite8.0ms (0.1%)

simplify95.0ms (1.6%)

prune111.0ms (1.9%)

localize8.0ms (0.1%)

series1.9s (32.2%)

rewrite17.0ms (0.3%)

simplify103.0ms (1.7%)

prune104.0ms (1.8%)

localize8.0ms (0.1%)

series1.9s (32.5%)

rewrite2.0ms (0%)

simplify66.0ms (1.1%)

prune108.0ms (1.8%)

regimes173.0ms (2.9%)

simplify2.0ms (0%)

end89.0ms (1.5%)

Profiling