Details

analyze2.1s (37.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
25%	75%	0%	4
37.5%	62.5%	0%	5
43.7%	56.2%	0%	6
46.9%	53.1%	0%	7
46.9%	53.1%	0%	8
46.9%	53.1%	0%	9
47.2%	52.7%	0%	10
47.2%	52.7%	0%	11
47.2%	52.7%	0%	12
47.3%	52.6%	0%	13
47.4%	52.6%	0%	14

Compiler

Compiled 53 to 45 computations (15.1% saved)

sample2.0s (36.9%)

Results

2.0s

8256×

body

128

valid

Compiler

Compiled 158 to 134 computations (15.2% saved)

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Rules

976×	`fma-def_binary64`
667×	`div-sub_binary64`
616×	`sub-neg_binary64`
386×	`unsub-neg_binary64`
342×	`times-frac_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	76
1	22	72
2	42	72
3	108	48
4	313	48
5	1138	42
6	3303	42
7	4367	42
8	5019	42

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

Compiler

Compiled 141 to 121 computations (14.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (+.f64 1 t))
✓	0.0b	(+.f64 (/.f64 2 (+.f64 1 t)) -4)
✓	0.0b	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)
✓	0.0b	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)

series11.0ms (0.2%)

Counts

4 → 48

Calls

4 calls:

3.0ms	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)
3.0ms	(/.f64 2 (+.f64 1 t))
3.0ms	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)
2.0ms	(+.f64 (/.f64 2 (+.f64 1 t)) -4)

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64`
24×	`times-frac_binary64`
21×	`add-sqr-sqrt_binary64`
21×	`add-cube-cbrt_binary64`
18×	`fma-def_binary64`

Counts

4 → 87

Calls

4 calls:

10.0ms	(+.f64 (/.f64 2 (+.f64 1 t)) -4)
4.0ms	(/.f64 2 (+.f64 1 t))
0.0ms	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)
0.0ms	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)

simplify94.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

767×	`times-frac_binary64`
653×	`fma-neg_binary64`
576×	`cancel-sign-sub-inv_binary64`
385×	`fma-def_binary64`
278×	`sub-neg_binary64`

Counts

135 → 167

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	169	1875
1	427	1715
2	1020	1688
3	2741	1686
4	4468	1686
5	4994	1686

prune403.0ms (7.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	371	1	372
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	372	1	373

Error

Counts

373 → 1

Alt Table

Status	Error	Program
▶	0b	(/.f64 (+.f64 (/.f64 (+.f64 -8 (/.f64 4 (+.f64 1 t))) (+.f64 1 t)) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

Compiler

Compiled 13169 to 11289 computations (14.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -8 (/.f64 4 (+.f64 1 t)))
✓	0.0b	(/.f64 4 (+.f64 1 t))
	0.0b	(+.f64 (/.f64 2 (+.f64 1 t)) -4)
	0.0b	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)

series5.0ms (0.1%)

Counts

2 → 24

Calls

2 calls:

3.0ms	(/.f64 4 (+.f64 1 t))
2.0ms	(+.f64 -8 (/.f64 4 (+.f64 1 t)))

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
12×	`add-sqr-sqrt_binary64`
12×	`add-cube-cbrt_binary64`
5×	`distribute-lft-out_binary64`

Counts

2 → 52

Calls

2 calls:

10.0ms	(+.f64 -8 (/.f64 4 (+.f64 1 t)))
4.0ms	(/.f64 4 (+.f64 1 t))

simplify92.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

503×	`fma-neg_binary64`
412×	`cancel-sign-sub-inv_binary64`
295×	`associate-l_binary64`
257×	`sub-neg_binary64`
231×	`fma-def_binary64`

Counts

76 → 110

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	981
1	312	938
2	716	921
3	1745	916
4	4381	916
5	4851	916
6	4920	916

prune212.0ms (3.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	194	1	195

Error

Counts

195 → 1

Alt Table

Status	Error	Program
✓	0b	(/.f64 (+.f64 (/.f64 (+.f64 -8 (/.f64 4 (+.f64 1 t))) (+.f64 1 t)) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

Compiler

Compiled 6616 to 5660 computations (14.4% saved)

regimes393.0ms (7.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

63 → 1

Compiler

Compiled 8225 to 7031 computations (14.5% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	41
1	24	41
2	23	41

end60.0ms (1.1%)

Compiler: Compiled 87 to 75 computations (13.8% saved)

Details

analyze2.1s (37.9%)

sample2.0s (36.9%)

simplify58.0ms (1%)

prune5.0ms (0.1%)

localize11.0ms (0.2%)

series11.0ms (0.2%)

rewrite18.0ms (0.3%)

simplify94.0ms (1.7%)

prune403.0ms (7.3%)

localize13.0ms (0.2%)

series5.0ms (0.1%)

rewrite16.0ms (0.3%)

simplify92.0ms (1.7%)

prune212.0ms (3.8%)

regimes393.0ms (7.1%)

simplify4.0ms (0.1%)

end60.0ms (1.1%)

Profiling