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)

sample783.0ms (14.5%)

Results

754.0ms	8256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify6.0ms (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))

series30.0ms (0.6%)

Counts

1 → 12

Calls

1 calls:

30.0ms

(*.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 (1.3%)

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

prune21.0ms (0.4%)

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
✓	0.3b	(*.f64 x (log.f64 x))
	32.5b	(.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)))
	0.5b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
	1.3b	(.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))))
	32.6b	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x))))

Compiler

Compiled 455 to 176 computations (61.3% 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 (34.9%)

Counts

4 → 48

Calls

4 calls:

630.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
620.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
603.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
30.0ms	(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:

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

simplify103.0ms (1.9%)

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

prune114.0ms (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	163	3	166
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	166	7	173

Error

Counts

173 → 7

Alt Table

Status	Error	Program
	32.4b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (.f64 (.f64 x (sqrt.f64 (log.f64 (cbrt.f64 x)))) (sqrt.f64 (log.f64 (cbrt.f64 x)))))
▶	0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (+.f64 (.f64 x (log.f64 (cbrt.f64 (pow.f64 x 2/3)))) (.f64 x (log.f64 (cbrt.f64 (cbrt.f64 x))))))
✓	0.3b	(*.f64 x (log.f64 x))
	32.5b	(.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)))
	0.5b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
	0.3b	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 x 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))

Compiler

Compiled 3155 to 1262 computations (60% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 x)
✓	0.6b	(cbrt.f64 (cbrt.f64 x))
✓	0.6b	(cbrt.f64 (pow.f64 x 2/3))
✓	6.0b	(pow.f64 x 2/3)

series323.0ms (6%)

Counts

3 → 36

Calls

3 calls:

273.0ms	(cbrt.f64 (cbrt.f64 x))
26.0ms	(cbrt.f64 (pow.f64 x 2/3))
25.0ms	(pow.f64 x 2/3)

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
6×	`unpow-prod-down_binary64`

Counts

3 → 52

Calls

3 calls:

1.0ms	(pow.f64 x 2/3)
1.0ms	(cbrt.f64 (pow.f64 x 2/3))
1.0ms	(cbrt.f64 (cbrt.f64 x))

simplify119.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

881×	`fma-def_binary64`
596×	`unswap-sqr_binary64`
563×	`log-prod_binary64`
397×	`exp-prod_binary64`
301×	`log-pow_binary64`

Counts

88 → 79

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	697
1	136	681
2	287	650
3	921	616
4	2377	616
5	3673	616
6	4859	616
7	4827	616

prune116.0ms (2.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	115	7	122

Error

Counts

122 → 7

Alt Table

Status	Error	Program
	32.4b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (.f64 (.f64 x (sqrt.f64 (log.f64 (cbrt.f64 x)))) (sqrt.f64 (log.f64 (cbrt.f64 x)))))
✓	0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (+.f64 (.f64 x (log.f64 (cbrt.f64 (pow.f64 x 2/3)))) (.f64 x (log.f64 (cbrt.f64 (cbrt.f64 x))))))
✓	0.3b	(*.f64 x (log.f64 x))
	32.5b	(.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)))
	0.5b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
▶	0.3b	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 x 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))

Compiler

Compiled 3192 to 1683 computations (47.3% saved)

localize51.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 (log.f64 (pow.f64 x 1/3)) 2))
✓	0.3b	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 x 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
	0.6b	(cbrt.f64 x)
✓	5.0b	(pow.f64 x 1/3)

series1.2s (22.1%)

Counts

3 → 28

Calls

3 calls:

797.0ms	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 x 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
371.0ms	(.f64 x (.f64 (log.f64 (pow.f64 x 1/3)) 2))
24.0ms	(pow.f64 x 1/3)

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-+r+_binary64`
12×	`log-prod_binary64`
10×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`

Counts

3 → 67

Calls

3 calls:

6.0ms	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 x 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
4.0ms	(.f64 x (.f64 (log.f64 (pow.f64 x 1/3)) 2))
1.0ms	(pow.f64 x 1/3)

simplify122.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

537×	`fma-neg_binary64`
529×	`fma-def_binary64`
483×	`*-commutative_binary64`
353×	`distribute-rgt-in_binary64`
304×	`distribute-lft-in_binary64`

Counts

95 → 114

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	1481
1	361	1136
2	1227	944
3	4125	944
4	4954	944
5	4989	944
6	4886	944

prune99.0ms (1.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	132	7	139

Error

Counts

139 → 7

Alt Table

Status	Error	Program
	32.4b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (.f64 (.f64 x (sqrt.f64 (log.f64 (cbrt.f64 x)))) (sqrt.f64 (log.f64 (cbrt.f64 x)))))
✓	0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (+.f64 (.f64 x (log.f64 (cbrt.f64 (pow.f64 x 2/3)))) (.f64 x (log.f64 (cbrt.f64 (cbrt.f64 x))))))
✓	0.3b	(*.f64 x (log.f64 x))
	32.5b	(.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)))
	0.5b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (log.f64 x)))
✓	0.3b	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 x 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))

Compiler

Compiled 2519 to 1305 computations (48.2% saved)

regimes197.0ms (3.7%)

Accuracy

Total 0.2b remaining (90.6%)

Threshold costs 0.2b (90.6%)

Counts

81 → 1

Compiler

Compiled 2701 to 1658 computations (38.6% 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

end86.0ms (1.6%)

Compiler: Compiled 122 to 70 computations (42.6% saved)

Details

analyze4.0ms (0.1%)

sample783.0ms (14.5%)

simplify6.0ms (0.1%)

prune1.0ms (0%)

localize3.0ms (0.1%)

series30.0ms (0.6%)

rewrite4.0ms (0.1%)

simplify69.0ms (1.3%)

prune21.0ms (0.4%)

localize8.0ms (0.1%)

series1.9s (34.9%)

rewrite19.0ms (0.4%)

simplify103.0ms (1.9%)

prune114.0ms (2.1%)

localize19.0ms (0.4%)

series323.0ms (6%)

rewrite5.0ms (0.1%)

simplify119.0ms (2.2%)

prune116.0ms (2.2%)

localize51.0ms (1%)

series1.2s (22.1%)

rewrite15.0ms (0.3%)

simplify122.0ms (2.3%)

prune99.0ms (1.8%)

regimes197.0ms (3.7%)

simplify2.0ms (0%)

end86.0ms (1.6%)

Profiling