Details

analyze933.0ms (15.4%)

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 31 to 27 computations (12.9% saved)

sample2.2s (36.7%)

Results

2.1s

8256×

body

128

valid

Compiler

Compiled 92 to 80 computations (13% saved)

simplify98.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

716×	`fma-def_binary64`
480×	`unsub-neg_binary64`
457×	`sub-neg_binary64`
410×	`div-sub_binary64`
342×	`times-frac_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	23	41
2	47	41
3	114	29
4	299	29
5	1006	26
6	2842	26
7	4184	26
8	4491	26
9	4846	26

prune7.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))

Compiler

Compiled 108 to 94 computations (13% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
✓	0.0b	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
✓	0.0b	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
✓	3.0b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

series20.0ms (0.3%)

Counts

4 → 48

Calls

4 calls:

5.0ms	(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
5.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
5.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
5.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite126.0ms (2.1%)

Algorithm

2×	batch-egg-rewrite

Rules

441×	`prod-diff_binary64`
156×	`add-sqr-sqrt_binary64`
152×	`log1p-expm1-u_binary64`
152×	`expm1-log1p-u_binary64`
148×	`add-log-exp_binary64`

Counts

4 → 126

Calls

4 calls:

120.0ms	(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
120.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
120.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
120.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	76
1	314	76
2	4210	76
3	5088	76
0	0	0
1	0	0

simplify115.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

769×	`fma-neg_binary64`
407×	`sub-neg_binary64`
368×	`fma-def_binary64`
237×	`cancel-sign-sub-inv_binary64`
231×	`associate-/r*_binary64`

Counts

174 → 182

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	660
1	278	638
2	775	612
3	2201	605
4	4611	605
5	4946	605
6	4959	605

prune603.0ms (10%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	280	1	281
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	280	2	282

Error

Counts

282 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
▶	0.0b	(exp.f64 (log1p.f64 (/.f64 -1 (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))))

Status

Error

Program

✓

0.0b

(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))

▶

0.0b

(exp.f64 (log1p.f64 (/.f64 -1 (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))))

Compiler

Compiled 9341 to 8091 computations (13.4% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))
	0.0b	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
✓	0.0b	(pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)
	3.0b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

series11.0ms (0.2%)

Counts

2 → 24

Calls

2 calls:

5.0ms	(pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)
5.0ms	(+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))

rewrite94.0ms (1.6%)

Algorithm

2×	batch-egg-rewrite

Rules

293×	`fma-def_binary64`
274×	`prod-diff_binary64`
226×	`expm1-udef_binary64`
226×	`log1p-udef_binary64`
130×	`fma-neg_binary64`

Counts

2 → 68

Calls

2 calls:

91.0ms	(+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2))
91.0ms	(pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	264	41
2	3462	41
3	4970	41
0	0	0
1	0	0

simplify97.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

769×	`fma-def_binary64`
334×	`times-frac_binary64`
324×	`neg-mul-1_binary64`
321×	`distribute-rgt-neg-in_binary64`
282×	`distribute-lft-neg-in_binary64`

Counts

92 → 97

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	328
1	131	318
2	335	310
3	889	297
4	2705	297
5	4637	297
6	4978	297
7	4920	297

prune381.0ms (6.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	196	2	198

Error

Counts

198 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
✓	0.0b	(exp.f64 (log1p.f64 (/.f64 -1 (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))))

Status

Error

Program

✓

0.0b

(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))

✓

0.0b

(exp.f64 (log1p.f64 (/.f64 -1 (+.f64 2 (pow.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) 2)))))

Compiler

Compiled 5409 to 4760 computations (12% saved)

regimes1.2s (19.1%)

Accuracy

Total 0.0b remaining (16.9%)

Threshold costs 0.0b (16.9%)

Counts

106 → 1

Compiler

Compiled 14607 to 12816 computations (12.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`distribute-neg-frac_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	21	29
2	26	29
3	33	29
4	36	29
5	37	29
6	35	29

end129.0ms (2.1%)

Compiler: Compiled 90 to 80 computations (11.1% saved)

Details

analyze933.0ms (15.4%)

sample2.2s (36.7%)

simplify98.0ms (1.6%)

prune7.0ms (0.1%)

localize20.0ms (0.3%)

series20.0ms (0.3%)

rewrite126.0ms (2.1%)

simplify115.0ms (1.9%)

prune603.0ms (10%)

localize25.0ms (0.4%)

series11.0ms (0.2%)

rewrite94.0ms (1.6%)

simplify97.0ms (1.6%)

prune381.0ms (6.3%)

regimes1.2s (19.1%)

simplify5.0ms (0.1%)

end129.0ms (2.1%)

Profiling