Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample860.0ms (7.1%)

Results

809.0ms	8256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify12.0ms (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

prune2.0ms (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)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series154.0ms (1.3%)

Counts

1 → 12

Calls

1 calls:

153.0ms

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

rewrite7.0ms (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:

5.0ms

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

simplify103.0ms (0.8%)

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

prune47.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	26	7	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	8	34

Error

0.0b

Counts

34 → 8

Alt Table

Status	Error	Program
	1.4b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (log.f64 x)))
✓	0.3b	(*.f64 x (log.f64 x))
	34.0b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
	1.4b	(.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)))
▶	0.4b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
	34.0b	(.f64 (sqrt.f64 (.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))
	36.9b	(cbrt.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 (log.f64 x) (log.f64 x)) (log.f64 x))))

Compiler

Compiled 483 to 190 computations (60.7% saved)

localize17.0ms (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)

series3.4s (28.1%)

Counts

4 → 48

Calls

4 calls:

1.1s	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
1.1s	(*.f64 x (log.f64 (cbrt.f64 x)))
1.1s	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
77.0ms	(cbrt.f64 x)

rewrite43.0ms (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:

13.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
7.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
5.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
1.0ms	(cbrt.f64 x)

simplify219.0ms (1.8%)

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

prune176.0ms (1.4%)

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
	26.1b	(/.f64 (.f64 x (.f64 (.f64 x (log.f64 (cbrt.f64 x))) (log.f64 x))) (.f64 x (log.f64 (cbrt.f64 x))))
	0.6b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
	0.5b	(+.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 (log.f64 (cbrt.f64 x)) 2))) (.f64 x (log.f64 (cbrt.f64 x))))
▶	0.3b	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 x (log.f64 (cbrt.f64 x))))
	0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (pow.f64 x 1/3))))
	34.0b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
✓	0.3b	(*.f64 x (log.f64 x))

Compiler

Compiled 3137 to 1248 computations (60.2% saved)

localize17.0ms (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)

series3.3s (27.4%)

Counts

2 → 24

Calls

2 calls:

2.3s	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 x (log.f64 (cbrt.f64 x))))
1.1s	(log.f64 (cbrt.f64 x))

rewrite5.0ms (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:

2.0ms	(log.f64 (cbrt.f64 x))
1.0ms	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 x (log.f64 (cbrt.f64 x))))

simplify116.0ms (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

prune278.0ms (2.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	154	1	155
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	155	7	162

Error

Counts

162 → 7

Alt Table

Status	Error	Program
	26.1b	(/.f64 (.f64 x (.f64 (.f64 x (log.f64 (cbrt.f64 x))) (log.f64 x))) (.f64 x (log.f64 (cbrt.f64 x))))
	0.6b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
	0.5b	(+.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 (log.f64 (cbrt.f64 x)) 2))) (.f64 x (log.f64 (cbrt.f64 x))))
✓	0.3b	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 x (log.f64 (cbrt.f64 x))))
▶	0.2b	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 x (log.f64 (pow.f64 x 1/3))))
	34.0b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
✓	0.3b	(*.f64 x (log.f64 x))

Compiler

Compiled 2690 to 1011 computations (62.4% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (log.f64 (pow.f64 x 1/3)))
✓	0.2b	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 x (log.f64 (pow.f64 x 1/3))))
	0.6b	(cbrt.f64 x)
✓	4.9b	(pow.f64 x 1/3)

series2.5s (20.8%)

Counts

3 → 28

Calls

3 calls:

1.8s	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 x (log.f64 (pow.f64 x 1/3))))
709.0ms	(*.f64 x (log.f64 (pow.f64 x 1/3)))
52.0ms	(pow.f64 x 1/3)

rewrite18.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`log-prod_binary64`
13×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
9×	`unpow-prod-down_binary64`

Counts

3 → 65

Calls

3 calls:

8.0ms	(*.f64 x (log.f64 (pow.f64 x 1/3)))
3.0ms	(pow.f64 x 1/3)
1.0ms	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 x (log.f64 (pow.f64 x 1/3))))

simplify150.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

938×	`fma-def_binary64`
387×	`exp-prod_binary64`
382×	`log-prod_binary64`
288×	`*-commutative_binary64`
222×	`unswap-sqr_binary64`

Counts

93 → 107

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	132	1276
1	242	1117
2	807	928
3	1956	910
4	4214	870
5	4986	870

prune152.0ms (1.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	125	7	132

Error

Counts

132 → 7

Alt Table

Status	Error	Program
	26.1b	(/.f64 (.f64 x (.f64 (.f64 x (log.f64 (cbrt.f64 x))) (log.f64 x))) (.f64 x (log.f64 (cbrt.f64 x))))
	0.6b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
	0.5b	(+.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 (log.f64 (cbrt.f64 x)) 2))) (.f64 x (log.f64 (cbrt.f64 x))))
✓	0.3b	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 x (log.f64 (cbrt.f64 x))))
✓	0.2b	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 x (log.f64 (pow.f64 x 1/3))))
	34.0b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
✓	0.3b	(*.f64 x (log.f64 x))

Compiler

Compiled 2277 to 1269 computations (44.3% saved)

regimes284.0ms (2.3%)

Accuracy

Total 0.2b remaining (89.9%)

Threshold costs 0.2b (89.9%)

Counts

61 → 1

Compiler

Compiled 1973 to 1166 computations (40.9% saved)

simplify5.0ms (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

end202.0ms (1.7%)

Compiler: Compiled 114 to 68 computations (40.4% saved)

Details

analyze3.0ms (0%)

sample860.0ms (7.1%)

simplify12.0ms (0.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

series154.0ms (1.3%)

rewrite7.0ms (0.1%)

simplify103.0ms (0.8%)

prune47.0ms (0.4%)

localize17.0ms (0.1%)

series3.4s (28.1%)

rewrite43.0ms (0.4%)

simplify219.0ms (1.8%)

prune176.0ms (1.4%)

localize17.0ms (0.1%)

series3.3s (27.4%)

rewrite5.0ms (0%)

simplify116.0ms (1%)

prune278.0ms (2.3%)

localize28.0ms (0.2%)

series2.5s (20.8%)

rewrite18.0ms (0.1%)

simplify150.0ms (1.2%)

prune152.0ms (1.2%)

regimes284.0ms (2.3%)

simplify5.0ms (0%)

end202.0ms (1.7%)

Profiling