Details

analyze849.0ms (16.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	49.9%	0%	12
99.6%	0.3%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 53 to 45 computations (15.1% saved)

sample2.0s (39%)

Results

1.9s

8256×

body

128

valid

Compiler

Compiled 158 to 134 computations (15.2% saved)

simplify58.0ms (1.2%)

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)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

4.0ms	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)
3.0ms	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)
3.0ms	(/.f64 2 (+.f64 1 t))
2.0ms	(+.f64 (/.f64 2 (+.f64 1 t)) -4)

rewrite18.0ms (0.4%)

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:

8.0ms	(+.f64 (/.f64 2 (+.f64 1 t)) -4)
3.0ms	(/.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)

simplify92.0ms (1.8%)

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	1021	1688
3	2741	1686
4	4468	1686
5	4994	1686

prune613.0ms (12.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	370	2	372
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	370	3	373

Error

Counts

373 → 3

Alt Table

Status	Error	Program
	0.0b	(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (log.f64 (*.f64 (exp.f64 (/.f64 2 (+.f64 1 t))) (exp.f64 -4))) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
▶	0.0b	(/.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))
✓	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 13265 to 11373 computations (14.3% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series7.0ms (0.1%)

Counts

2 → 24

Calls

2 calls:

4.0ms	(/.f64 4 (+.f64 1 t))
3.0ms	(/.f64 (+.f64 -8 (/.f64 4 (+.f64 1 t))) (+.f64 1 t))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`*-un-lft-identity_binary64`
28×	`times-frac_binary64`
21×	`add-sqr-sqrt_binary64`
21×	`add-cube-cbrt_binary64`
14×	`distribute-lft-out_binary64`

Counts

2 → 77

Calls

2 calls:

10.0ms	(/.f64 (+.f64 -8 (/.f64 4 (+.f64 1 t))) (+.f64 1 t))
5.0ms	(/.f64 4 (+.f64 1 t))

simplify93.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

976×	`fma-neg_binary64`
420×	`distribute-rgt-in_binary64`
412×	`cancel-sign-sub-inv_binary64`
371×	`times-frac_binary64`
355×	`distribute-lft-in_binary64`

Counts

101 → 144

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	158	1907
1	390	1797
2	975	1786
3	2460	1779
4	4823	1772
5	5251	1772

prune382.0ms (7.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	278	0	278
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	278	3	281

Error

Counts

281 → 3

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (log.f64 (*.f64 (exp.f64 (/.f64 2 (+.f64 1 t))) (exp.f64 -4))) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
✓	0.0b	(/.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))
✓	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 9910 to 8463 computations (14.6% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)
✓	0.0b	(exp.f64 (/.f64 2 (+.f64 1 t)))
✓	0.0b	(fma.f64 (/.f64 2 (+.f64 1 t)) (log.f64 (*.f64 (exp.f64 (/.f64 2 (+.f64 1 t))) (exp.f64 -4))) 5)
✓	0.5b	(*.f64 (exp.f64 (/.f64 2 (+.f64 1 t))) (exp.f64 -4))

series13.0ms (0.3%)

Counts

3 → 36

Calls

3 calls:

5.0ms	(fma.f64 (/.f64 2 (+.f64 1 t)) (log.f64 (*.f64 (exp.f64 (/.f64 2 (+.f64 1 t))) (exp.f64 -4))) 5)
5.0ms	(*.f64 (exp.f64 (/.f64 2 (+.f64 1 t))) (exp.f64 -4))
3.0ms	(exp.f64 (/.f64 2 (+.f64 1 t)))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
20×	`exp-prod_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`

Counts

3 → 59

Calls

3 calls:

11.0ms	(*.f64 (exp.f64 (/.f64 2 (+.f64 1 t))) (exp.f64 -4))
4.0ms	(exp.f64 (/.f64 2 (+.f64 1 t)))
0.0ms	(fma.f64 (/.f64 2 (+.f64 1 t)) (log.f64 (*.f64 (exp.f64 (/.f64 2 (+.f64 1 t))) (exp.f64 -4))) 5)

simplify90.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

524×	`fma-def_binary64`
419×	`sub-neg_binary64`
368×	`cancel-sign-sub-inv_binary64`
336×	`associate-l_binary64`
330×	`times-frac_binary64`

Counts

95 → 141

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	1704
1	451	1442
2	1290	1351
3	3925	1351
4	4964	1351
5	5033	1351

prune296.0ms (5.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	173	3	176

Error

Counts

176 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (log.f64 (*.f64 (exp.f64 (/.f64 2 (+.f64 1 t))) (exp.f64 -4))) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
✓	0.0b	(/.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))
✓	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 6661 to 5823 computations (12.6% saved)

regimes381.0ms (7.5%)

Accuracy

Total 0.0b remaining (54.1%)

Threshold costs 0.0b (54.1%)

Counts

75 → 1

Compiler

Compiled 9885 to 8491 computations (14.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	20	40
2	19	40

end97.0ms (1.9%)

Compiler: Compiled 148 to 128 computations (13.5% saved)

Details

analyze849.0ms (16.8%)

sample2.0s (39%)

simplify58.0ms (1.2%)

prune5.0ms (0.1%)

localize9.0ms (0.2%)

series11.0ms (0.2%)

rewrite18.0ms (0.4%)

simplify92.0ms (1.8%)

prune613.0ms (12.1%)

localize13.0ms (0.3%)

series7.0ms (0.1%)

rewrite19.0ms (0.4%)

simplify93.0ms (1.8%)

prune382.0ms (7.6%)

localize15.0ms (0.3%)

series13.0ms (0.3%)

rewrite19.0ms (0.4%)

simplify90.0ms (1.8%)

prune296.0ms (5.9%)

regimes381.0ms (7.5%)

simplify2.0ms (0%)

end97.0ms (1.9%)

Profiling