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)

sample734.0ms (16.4%)

Results

705.0ms	8256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify5.0ms (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)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series38.0ms (0.9%)

Counts

1 → 12

Calls

1 calls:

38.0ms

(*.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))

simplify69.0ms (1.5%)

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

prune23.0ms (0.5%)

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
	0.6b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
✓	0.3b	(*.f64 x (log.f64 x))
	1.2b	(.f64 (.f64 x (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))) (cbrt.f64 (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))))
	40.9b	(cbrt.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 (log.f64 x) (log.f64 x)) (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))))

Compiler

Compiled 475 to 182 computations (61.7% saved)

localize7.0ms (0.2%)

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)

series1.6s (36.3%)

Counts

4 → 48

Calls

4 calls:

546.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
526.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
523.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
31.0ms	(cbrt.f64 x)

rewrite19.0ms (0.4%)

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

simplify104.0ms (2.3%)

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 (2.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	162	4	166
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	165	8	173

Error

Counts

173 → 8

Alt Table

Status	Error	Program
	1.2b	(.f64 (.f64 x (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))) (cbrt.f64 (log.f64 x)))
▶	0.5b	(.f64 3 (.f64 (log.f64 (pow.f64 x 1/3)) x))
	0.6b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
✓	0.3b	(*.f64 x (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))))
	30.3b	(+.f64 (.f64 (sqrt.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))) (sqrt.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)))) (.f64 x (log.f64 (cbrt.f64 x))))
	32.0b	(/.f64 (.f64 x (.f64 (.f64 x (log.f64 (cbrt.f64 x))) (log.f64 x))) (.f64 x (log.f64 (cbrt.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)))))

Compiler

Compiled 3197 to 1268 computations (60.3% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (pow.f64 x 1/3))
✓	0.2b	(*.f64 (log.f64 (pow.f64 x 1/3)) x)
✓	0.3b	(.f64 3 (.f64 (log.f64 (pow.f64 x 1/3)) x))
✓	5.0b	(pow.f64 x 1/3)

series964.0ms (21.5%)

Counts

4 → 28

Calls

4 calls:

333.0ms	(*.f64 (log.f64 (pow.f64 x 1/3)) x)
325.0ms	(log.f64 (pow.f64 x 1/3))
283.0ms	(.f64 3 (.f64 (log.f64 (pow.f64 x 1/3)) x))
22.0ms	(pow.f64 x 1/3)

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-exp-log_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`pow1_binary64`
11×	`add-cbrt-cube_binary64`
11×	`*-un-lft-identity_binary64`

Counts

4 → 81

Calls

4 calls:

4.0ms	(.f64 3 (.f64 (log.f64 (pow.f64 x 1/3)) x))
3.0ms	(*.f64 (log.f64 (pow.f64 x 1/3)) x)
1.0ms	(log.f64 (pow.f64 x 1/3))
1.0ms	(pow.f64 x 1/3)

simplify96.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

353×	`log-prod_binary64`
308×	`fma-def_binary64`
288×	`*-commutative_binary64`
242×	`associate-+l+_binary64`
229×	`associate-+r+_binary64`

Counts

109 → 131

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	1275
1	224	1010
2	705	906
3	1695	780
4	4299	780
5	4871	780
6	4880	780

prune97.0ms (2.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	131	8	139

Error

Counts

139 → 8

Alt Table

Status	Error	Program
	1.2b	(.f64 (.f64 x (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))) (cbrt.f64 (log.f64 x)))
✓	0.5b	(.f64 3 (.f64 (log.f64 (pow.f64 x 1/3)) x))
▶	0.6b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
✓	0.3b	(*.f64 x (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))))
	30.3b	(+.f64 (.f64 (sqrt.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))) (sqrt.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)))) (.f64 x (log.f64 (cbrt.f64 x))))
	32.0b	(/.f64 (.f64 x (.f64 (.f64 x (log.f64 (cbrt.f64 x))) (log.f64 x))) (.f64 x (log.f64 (cbrt.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)))))

Compiler

Compiled 1813 to 1186 computations (34.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series29.0ms (0.6%)

Counts

2 → 8

Calls

2 calls:

20.0ms	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
9.0ms	(*.f64 (sqrt.f64 x) (log.f64 x))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`log-prod_binary64`
17×	`add-sqr-sqrt_binary64`
15×	`distribute-lft-in_binary64`
15×	`distribute-rgt-in_binary64`
13×	`*-un-lft-identity_binary64`

Counts

2 → 66

Calls

2 calls:

6.0ms	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
4.0ms	(*.f64 (sqrt.f64 x) (log.f64 x))

simplify91.0ms (2%)

Algorithm

1×	egg-herbie

Rules

411×	`unsub-neg_binary64`
383×	`distribute-rgt-in_binary64`
364×	`distribute-lft-in_binary64`
349×	`distribute-rgt-out_binary64`
265×	`count-2_binary64`

Counts

74 → 92

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	93	862
1	155	783
2	422	783
3	704	783
4	2196	783
5	4306	783
6	4965	783
7	4927	783

prune93.0ms (2.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	92	8	100

Error

Counts

100 → 8

Alt Table

Status	Error	Program
	1.2b	(.f64 (.f64 x (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))) (cbrt.f64 (log.f64 x)))
✓	0.5b	(.f64 3 (.f64 (log.f64 (pow.f64 x 1/3)) x))
✓	0.6b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
✓	0.3b	(*.f64 x (log.f64 x))
	32.0b	(/.f64 (.f64 x (.f64 (.f64 x (log.f64 (cbrt.f64 x))) (log.f64 x))) (.f64 x (log.f64 (cbrt.f64 x))))
	0.6b	(.f64 (.f64 (sqrt.f64 x) (sqrt.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)))))
	30.3b	(+.f64 (.f64 (sqrt.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))) (sqrt.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)))) (.f64 x (log.f64 (cbrt.f64 x))))

Compiler

Compiled 1368 to 344 computations (74.9% saved)

regimes237.0ms (5.3%)

Accuracy

Total 0.3b remaining (88.2%)

Threshold costs 0.3b (88.2%)

Counts

113 → 1

Compiler

Compiled 3268 to 2051 computations (37.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	10	19
2	10	19

end93.0ms (2.1%)

Compiler: Compiled 134 to 72 computations (46.3% saved)

Details

analyze4.0ms (0.1%)

sample734.0ms (16.4%)

simplify5.0ms (0.1%)

prune1.0ms (0%)

localize3.0ms (0.1%)

series38.0ms (0.9%)

rewrite4.0ms (0.1%)

simplify69.0ms (1.5%)

prune23.0ms (0.5%)

localize7.0ms (0.2%)

series1.6s (36.3%)

rewrite19.0ms (0.4%)

simplify104.0ms (2.3%)

prune102.0ms (2.3%)

localize7.0ms (0.2%)

series964.0ms (21.5%)

rewrite12.0ms (0.3%)

simplify96.0ms (2.1%)

prune97.0ms (2.2%)

localize5.0ms (0.1%)

series29.0ms (0.6%)

rewrite13.0ms (0.3%)

simplify91.0ms (2%)

prune93.0ms (2.1%)

regimes237.0ms (5.3%)

simplify2.0ms (0%)

end93.0ms (2.1%)

Profiling