Details

analyze4.0ms (0%)

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)

sample747.0ms (9.5%)

Results

719.0ms	8256×	body	128	valid
0.0ms	5×	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%)

Local error

Found 1 expressions with local error:

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

series31.0ms (0.4%)

Counts

1 → 12

Calls

1 calls:

31.0ms

(*.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))

simplify67.0ms (0.9%)

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

prune19.0ms (0.2%)

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
	1.3b	(.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)))
	1.3b	(.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))))
	33.5b	(.f64 (sqrt.f64 (.f64 x (log.f64 x))) (sqrt.f64 (*.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))))
✓	0.3b	(*.f64 x (log.f64 x))

Compiler

Compiled 467 to 176 computations (62.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series1.9s (24.6%)

Counts

4 → 48

Calls

4 calls:

697.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
610.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
597.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
30.0ms	(cbrt.f64 x)

rewrite19.0ms (0.2%)

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:

7.0ms	(+.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)

simplify124.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

573×	`fma-neg_binary64`
567×	`fma-def_binary64`
536×	`*-commutative_binary64`
335×	`distribute-rgt-in_binary64`
300×	`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	4059	1496
4	4946	1496
5	4996	1496
6	4906	1496

prune112.0ms (1.4%)

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
✓	0.3b	(*.f64 x (log.f64 x))
	0.5b	(.f64 3 (.f64 (log.f64 (pow.f64 x 1/3)) 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)))
	1.3b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (log.f64 x)))
	0.5b	(+.f64 (.f64 x (fma.f64 2/3 (log.f64 x) (log.f64 (cbrt.f64 (sqrt.f64 x))))) (.f64 (log.f64 (cbrt.f64 (sqrt.f64 x))) x))
▶	0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 x))))) (*.f64 x (log.f64 (cbrt.f64 (cbrt.f64 x))))))

Compiler

Compiled 3145 to 1252 computations (60.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series1.9s (24.2%)

Counts

2 → 24

Calls

2 calls:

1.6s	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 x))))) (*.f64 x (log.f64 (cbrt.f64 (cbrt.f64 x))))))
254.0ms	(cbrt.f64 (cbrt.f64 x))

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`cbrt-prod_binary64`
7×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64`

Counts

2 → 33

Calls

2 calls:

9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 x))))) (*.f64 x (log.f64 (cbrt.f64 (cbrt.f64 x))))))
1.0ms	(cbrt.f64 (cbrt.f64 x))

simplify83.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

795×	`associate-l_binary64`
711×	`associate-r_binary64`
666×	`fma-neg_binary64`
454×	`fma-def_binary64`
348×	`distribute-rgt-in_binary64`

Counts

57 → 56

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	1144
1	258	960
2	920	712
3	4314	711
4	4984	711
5	4994	711

prune121.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	165	2	167
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	168	6	174

Error

Counts

174 → 6

Alt Table

Status	Error	Program
	0.5b	(+.f64 (.f64 x (fma.f64 2/3 (log.f64 x) (log.f64 (cbrt.f64 (sqrt.f64 x))))) (.f64 (log.f64 (cbrt.f64 (sqrt.f64 x))) x))
	0.4b	(.f64 (+.f64 (.f64 2 (log.f64 (pow.f64 x 1/3))) (*.f64 3 (log.f64 (pow.f64 x 1/9)))) x)
	0.6b	(.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)))
▶	0.2b	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 x))))) (.f64 x (log.f64 (cbrt.f64 (cbrt.f64 x))))))
✓	0.3b	(*.f64 x (log.f64 x))

Compiler

Compiled 4758 to 2057 computations (56.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series1.9s (24.3%)

Counts

2 → 24

Calls

2 calls:

981.0ms	(*.f64 x (log.f64 (cbrt.f64 (cbrt.f64 x))))
928.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 x))))) (*.f64 x (log.f64 (cbrt.f64 (cbrt.f64 x)))))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

72×	`cbrt-prod_binary64`
72×	`log-prod_binary64`
54×	`distribute-lft-in_binary64`
54×	`distribute-rgt-in_binary64`
36×	`associate-+l+_binary64`

Counts

2 → 109

Calls

2 calls:

9.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 x))))) (*.f64 x (log.f64 (cbrt.f64 (cbrt.f64 x)))))
4.0ms	(*.f64 x (log.f64 (cbrt.f64 (cbrt.f64 x))))

simplify189.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

600×	`fma-def_binary64`
307×	`*-commutative_binary64`
301×	`fma-neg_binary64`
298×	`distribute-rgt-out_binary64`
276×	`cancel-sign-sub-inv_binary64`

Counts

133 → 187

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	182	2611
1	357	2376
2	1183	2225
3	2793	2225
4	3992	2215
5	4691	2207
6	4983	2207
7	4999	2207
8	4811	2207

prune230.0ms (2.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	287	0	287
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	287	6	293

Error

Counts

293 → 6

Alt Table

Status	Error	Program
	0.5b	(+.f64 (.f64 x (fma.f64 2/3 (log.f64 x) (log.f64 (cbrt.f64 (sqrt.f64 x))))) (.f64 (log.f64 (cbrt.f64 (sqrt.f64 x))) x))
	0.4b	(.f64 (+.f64 (.f64 2 (log.f64 (pow.f64 x 1/3))) (*.f64 3 (log.f64 (pow.f64 x 1/9)))) x)
	0.6b	(.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)))
✓	0.2b	(fma.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2) (+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 x))))) (.f64 x (log.f64 (cbrt.f64 (cbrt.f64 x))))))
✓	0.3b	(*.f64 x (log.f64 x))

Compiler

Compiled 8258 to 3082 computations (62.7% saved)

regimes174.0ms (2.2%)

Accuracy

Total 0.2b remaining (91.1%)

Threshold costs 0.2b (91.1%)

Counts

79 → 1

Compiler

Compiled 2785 to 1652 computations (40.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	15	34
2	15	34

end94.0ms (1.2%)

Compiler: Compiled 127 to 74 computations (41.7% saved)

Details

analyze4.0ms (0%)

sample747.0ms (9.5%)

simplify5.0ms (0.1%)

prune1.0ms (0%)

localize3.0ms (0%)

series31.0ms (0.4%)

rewrite4.0ms (0.1%)

simplify67.0ms (0.9%)

prune19.0ms (0.2%)

localize12.0ms (0.2%)

series1.9s (24.6%)

rewrite19.0ms (0.2%)

simplify124.0ms (1.6%)

prune112.0ms (1.4%)

localize13.0ms (0.2%)

series1.9s (24.2%)

rewrite12.0ms (0.1%)

simplify83.0ms (1.1%)

prune121.0ms (1.5%)

localize13.0ms (0.2%)

series1.9s (24.3%)

rewrite26.0ms (0.3%)

simplify189.0ms (2.4%)

prune230.0ms (2.9%)

regimes174.0ms (2.2%)

simplify2.0ms (0%)

end94.0ms (1.2%)

Profiling