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)

sample731.0ms (12.3%)

Results

705.0ms	8256×	body	128	valid
0.0ms	2×	body	128	invalid

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)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series30.0ms (0.5%)

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))

simplify63.0ms (1.1%)

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

prune20.0ms (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
	1.2b	(.f64 (.f64 x (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))) (cbrt.f64 (log.f64 x)))
✓	0.3b	(*.f64 x (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)))
▶	0.4b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
	28.0b	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (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 471 to 178 computations (62.2% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series1.8s (30.8%)

Counts

4 → 48

Calls

4 calls:

618.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
593.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
588.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
29.0ms	(cbrt.f64 x)

rewrite22.0ms (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:

8.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
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))
1.0ms	(cbrt.f64 x)

simplify106.0ms (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

prune102.0ms (1.7%)

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
	1.2b	(.f64 (.f64 x (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))) (cbrt.f64 (log.f64 x)))
✓	0.3b	(*.f64 x (log.f64 x))
	0.7b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (.f64 (.f64 x (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) (cbrt.f64 (log.f64 (cbrt.f64 x))))) (cbrt.f64 (log.f64 (cbrt.f64 x)))))
▶	0.3b	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 x (log.f64 (cbrt.f64 x))))
	28.0b	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (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))))
	0.4b	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 x 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))

Compiler

Compiled 3171 to 1250 computations (60.6% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (cbrt.f64 x))
✓	0.2b	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 x (log.f64 (cbrt.f64 x))))
	0.3b	(*.f64 x (log.f64 (cbrt.f64 x)))
	0.6b	(cbrt.f64 x)

series2.0s (33.1%)

Counts

2 → 24

Calls

2 calls:

1.4s	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 x (log.f64 (cbrt.f64 x))))
599.0ms	(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))))

simplify70.0ms (1.2%)

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

prune128.0ms (2.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	151	4	155
Fresh	4	1	5
Picked	1	0	1
Done	0	1	1
Total	156	6	162

Error

Counts

162 → 6

Alt Table

Status	Error	Program
	0.3b	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 x (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 x)) 3))))
	28.0b	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x))))
✓	0.3b	(*.f64 x (log.f64 x))
	0.7b	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 x (.f64 (.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) (cbrt.f64 (log.f64 (cbrt.f64 x)))) (cbrt.f64 (log.f64 (cbrt.f64 x))))))
	0.3b	(fma.f64 x (.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 x 2/3)) (cbrt.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 (+.f64 (log.f64 (cbrt.f64 (pow.f64 x 2/3))) (log.f64 (cbrt.f64 (cbrt.f64 x))))))

Compiler

Compiled 2727 to 1034 computations (62.1% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (pow.f64 x 2/3))
✓	0.6b	(cbrt.f64 (cbrt.f64 x))
	0.6b	(cbrt.f64 x)
✓	6.1b	(pow.f64 x 2/3)

series300.0ms (5.1%)

Counts

3 → 36

Calls

3 calls:

249.0ms	(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))

simplify87.0ms (1.5%)

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 → 78

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	703
1	136	665
2	287	650
3	920	616
4	2377	616
5	3673	616
6	4859	616
7	4827	616

prune108.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	114	6	120

Error

Counts

120 → 6

Alt Table

Status	Error	Program
	0.3b	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 x (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 x)) 3))))
	28.0b	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x))))
✓	0.3b	(*.f64 x (log.f64 x))
	0.7b	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (.f64 x (.f64 (.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) (cbrt.f64 (log.f64 (cbrt.f64 x)))) (cbrt.f64 (log.f64 (cbrt.f64 x))))))
	0.3b	(fma.f64 x (.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 x 2/3)) (cbrt.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 (+.f64 (log.f64 (cbrt.f64 (pow.f64 x 2/3))) (log.f64 (cbrt.f64 (cbrt.f64 x))))))

Compiler

Compiled 2762 to 1473 computations (46.7% saved)

regimes210.0ms (3.5%)

Accuracy

Total 0.2b remaining (87.3%)

Threshold costs 0.2b (87.3%)

Counts

100 → 1

Compiler

Compiled 3275 to 1964 computations (40% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	14	26
2	14	26

end103.0ms (1.7%)

Compiler: Compiled 134 to 82 computations (38.8% saved)

Details

analyze4.0ms (0.1%)

sample731.0ms (12.3%)

simplify7.0ms (0.1%)

prune1.0ms (0%)

localize3.0ms (0.1%)

series30.0ms (0.5%)

rewrite4.0ms (0.1%)

simplify63.0ms (1.1%)

prune20.0ms (0.3%)

localize8.0ms (0.1%)

series1.8s (30.8%)

rewrite22.0ms (0.4%)

simplify106.0ms (1.8%)

prune102.0ms (1.7%)

localize7.0ms (0.1%)

series2.0s (33.1%)

rewrite2.0ms (0%)

simplify70.0ms (1.2%)

prune128.0ms (2.2%)

localize20.0ms (0.3%)

series300.0ms (5.1%)

rewrite5.0ms (0.1%)

simplify87.0ms (1.5%)

prune108.0ms (1.8%)

regimes210.0ms (3.5%)

simplify2.0ms (0%)

end103.0ms (1.7%)

Profiling