Details

analyze79.0ms (1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample61.0ms (0.8%)

Algorithm

1×

intervals

Results

45.0ms	256×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 18 to 16 computations (11.1% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg_binary64`
3×	`+-commutative_binary64`
2×	`fma-def_binary64`
1×	`*-commutative_binary64`
1×	`associate-+l-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	14	11
2	17	11
3	19	11
4	23	11
5	24	11
6	29	11
7	22	11

prune3.0ms (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

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

Compiler

Compiled 24 to 21 computations (12.5% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 x) 1)
✓	0.0b	(log.f64 (-.f64 (/.f64 1 x) 1))

series8.0ms (0.1%)

Counts

2 → 15

Calls

2 calls:

5.0ms	(log.f64 (-.f64 (/.f64 1 x) 1))
2.0ms	(-.f64 (/.f64 1 x) 1)

rewrite132.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64`
63×	`*-un-lft-identity_binary64`
48×	`times-frac_binary64`
45×	`add-cube-cbrt_binary64`
39×	`prod-diff_binary64`

Counts

2 → 110

Calls

2 calls:

104.0ms	(-.f64 (/.f64 1 x) 1)
12.0ms	(log.f64 (-.f64 (/.f64 1 x) 1))

simplify317.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-neg_binary64`
430×	`times-frac_binary64`
322×	`cancel-sign-sub-inv_binary64`
267×	`distribute-rgt-in_binary64`
228×	`associate-*l/_binary64`

Counts

125 → 153

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	104	1425
1	197	1351
2	471	1333
3	1400	1269
4	4255	1265
5	4984	1265
6	4949	1265

prune347.0ms (4.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	152	2	154

Error

0.0b

Counts

154 → 2

Alt Table

Status	Error	Program
▶	29.9b	(neg.f64 (-.f64 (log.f64 (+.f64 -1 (/.f64 1 (*.f64 x x)))) (log1p.f64 (/.f64 1 x))))
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

Compiler

Compiled 2758 to 2338 computations (15.2% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (/.f64 1 x))
✓	0.0b	(-.f64 (log.f64 (+.f64 -1 (/.f64 1 (*.f64 x x)))) (log1p.f64 (/.f64 1 x)))
✓	0.2b	(/.f64 1 (*.f64 x x))
✓	28.9b	(log.f64 (+.f64 -1 (/.f64 1 (*.f64 x x))))

series21.0ms (0.3%)

Counts

4 → 48

Calls

4 calls:

6.0ms	(log.f64 (+.f64 -1 (/.f64 1 (*.f64 x x))))
5.0ms	(-.f64 (log.f64 (+.f64 -1 (/.f64 1 (*.f64 x x)))) (log1p.f64 (/.f64 1 x)))
5.0ms	(log1p.f64 (/.f64 1 x))
4.0ms	(/.f64 1 (*.f64 x x))

rewrite74.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`*-un-lft-identity_binary64`
19×	`add-sqr-sqrt_binary64`
18×	`pow1_binary64`
17×	`add-cube-cbrt_binary64`
16×	`add-exp-log_binary64`

Counts

4 → 106

Calls

4 calls:

49.0ms	(-.f64 (log.f64 (+.f64 -1 (/.f64 1 (*.f64 x x)))) (log1p.f64 (/.f64 1 x)))
7.0ms	(log.f64 (+.f64 -1 (/.f64 1 (*.f64 x x))))
6.0ms	(/.f64 1 (*.f64 x x))
1.0ms	(log1p.f64 (/.f64 1 x))

simplify158.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

626×	`fma-def_binary64`
411×	`sub-neg_binary64`
405×	`associate-l_binary64`
319×	`associate-r_binary64`
172×	`cancel-sign-sub-inv_binary64`

Counts

154 → 153

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	198	2311
1	434	2169
2	1212	2154
3	4411	2154
4	5006	2154

prune218.0ms (2.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	153	2	155

Error

Counts

155 → 2

Alt Table

Status	Error	Program
▶	30.1b	(neg.f64 (+.f64 (fma.f64 1 (log.f64 (+.f64 -1 (/.f64 1 (.f64 x x)))) (neg.f64 (.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 (log1p.f64 (/.f64 1 x)))))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x)))) (sqrt.f64 (log1p.f64 (/.f64 1 x))) (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 (log1p.f64 (/.f64 1 x)))))))
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

Status

Error

Program

▶

30.1b

(neg.f64 (+.f64 (fma.f64 1 (log.f64 (+.f64 -1 (/.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 (log1p.f64 (/.f64 1 x)))))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x)))) (sqrt.f64 (log1p.f64 (/.f64 1 x))) (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 (log1p.f64 (/.f64 1 x)))))))

✓

0.0b

(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

Compiler

Compiled 3576 to 2663 computations (25.5% saved)

localize38.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 1 (*.f64 x x))
✓	0.5b	(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 (log1p.f64 (/.f64 1 x))))
	28.9b	(log.f64 (+.f64 -1 (/.f64 1 (*.f64 x x))))
✓	61.9b	(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x)))) (sqrt.f64 (log1p.f64 (/.f64 1 x))) (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 (log1p.f64 (/.f64 1 x)))))

series3.6s (47.1%)

Counts

2 → 18

Calls

2 calls:

3.6s

(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x)))) (sqrt.f64 (log1p.f64 (/.f64 1 x))) (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 (log1p.f64 (/.f64 1 x)))))

6.0ms

(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 (log1p.f64 (/.f64 1 x))))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
18×	`sqrt-prod_binary64`
17×	`pow1_binary64`
10×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64`

Counts

2 → 63

Calls

2 calls:

11.0ms

(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 (log1p.f64 (/.f64 1 x))))

1.0ms

(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x)))) (sqrt.f64 (log1p.f64 (/.f64 1 x))) (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 (log1p.f64 (/.f64 1 x)))))

simplify158.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

699×	`fma-neg_binary64`
595×	`unswap-sqr_binary64`
470×	`fma-def_binary64`
244×	`times-frac_binary64`
216×	`sub-neg_binary64`

Counts

81 → 92

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	93	1178
1	185	1093
2	470	921
3	1299	690
4	3032	690
5	4684	690
6	4609	686
7	4882	686
8	4570	686

prune469.0ms (6.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	236	0	236
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	236	2	238

Error

Counts

238 → 2

Alt Table

Status	Error	Program
✓	30.1b	(neg.f64 (+.f64 (fma.f64 1 (log.f64 (+.f64 -1 (/.f64 1 (.f64 x x)))) (neg.f64 (.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 (log1p.f64 (/.f64 1 x)))))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x)))) (sqrt.f64 (log1p.f64 (/.f64 1 x))) (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 (log1p.f64 (/.f64 1 x)))))))
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

Status

Error

Program

✓

30.1b

(neg.f64 (+.f64 (fma.f64 1 (log.f64 (+.f64 -1 (/.f64 1 (*.f64 x x)))) (neg.f64 (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 (log1p.f64 (/.f64 1 x)))))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x)))) (sqrt.f64 (log1p.f64 (/.f64 1 x))) (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 (log1p.f64 (/.f64 1 x)))))))

✓

0.0b

(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

Compiler

Compiled 11994 to 9724 computations (18.9% saved)

regimes701.0ms (9.1%)

Accuracy

Total 0.0b remaining (13.8%)

Threshold costs 0.0b (13.8%)

Counts

52 → 1

Compiler

Compiled 9764 to 8209 computations (15.9% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	14	11
2	17	11
3	18	11
4	16	11

end1.0ms (0%)

Compiler: Compiled 8 to 7 computations (12.5% saved)

sample1.2s (15.5%)

Algorithm

1×

intervals

Results

791.0ms	8000×	body	128	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 74 to 63 computations (14.9% saved)

Details

analyze79.0ms (1%)

sample61.0ms (0.8%)

simplify13.0ms (0.2%)

prune3.0ms (0%)

localize15.0ms (0.2%)

series8.0ms (0.1%)

rewrite132.0ms (1.7%)

simplify317.0ms (4.1%)

prune347.0ms (4.5%)

localize23.0ms (0.3%)

series21.0ms (0.3%)

rewrite74.0ms (1%)

simplify158.0ms (2.1%)

prune218.0ms (2.9%)

localize38.0ms (0.5%)

series3.6s (47.1%)

rewrite22.0ms (0.3%)

simplify158.0ms (2.1%)

prune469.0ms (6.1%)

regimes701.0ms (9.1%)

simplify6.0ms (0.1%)

end1.0ms (0%)

sample1.2s (15.5%)

Profiling