Details

analyze27.0ms (2.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample574.0ms (48%)

Infinites

0% of outputs are infinite.

Results

529.0ms

8256×

body

128

valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify8.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	17	10
3	20	10
4	21	10
5	20	10

prune1.0ms (0.1%)

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

7.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	7.1b	(/.f64 (*.f64 x y) (+.f64 y 1))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.1b	(/.f64 (*.f64 x y) (+.f64 y 1))

series9.0ms (0.8%)

Counts

1 → 24

Calls

1 calls:

9.0ms

(/.f64 (*.f64 x y) (+.f64 y 1))

rewrite8.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
4×	`associate-/r*_binary64`
4×	`times-frac_binary64`

Counts

1 → 27

Calls

1 calls:

7.0ms

(/.f64 (*.f64 x y) (+.f64 y 1))

simplify65.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

713×	`fma-neg_binary64`
694×	`times-frac_binary64`
647×	`fma-def_binary64`
447×	`associate-/l*_binary64`
224×	`cancel-sign-sub-inv_binary64`

Counts

51 → 54

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	672
1	217	596
2	717	591
3	3018	590
4	4493	590
5	5048	590

prune32.0ms (2.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	3	55

Error

Counts

55 → 3

Alt Table

Status	Error	Program
✓	7.1b	(/.f64 (*.f64 x y) (+.f64 y 1))
	30.4b	(-.f64 (.f64 y x) (.f64 (pow.f64 y 2) x))
▶	0.1b	(/.f64 x (/.f64 (+.f64 y 1) y))

Compiler

Compiled 721 to 404 computations (44% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 y 1) y)
✓	0.1b	(/.f64 x (/.f64 (+.f64 y 1) y))

series13.0ms (1.1%)

Counts

2 → 36

Calls

2 calls:

11.0ms	(/.f64 x (/.f64 (+.f64 y 1) y))
2.0ms	(/.f64 (+.f64 y 1) y)

rewrite18.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64`
92×	`*-un-lft-identity_binary64`
60×	`add-sqr-sqrt_binary64`
60×	`add-cube-cbrt_binary64`
19×	`associate-/r*_binary64`

Counts

2 → 119

Calls

2 calls:

5.0ms	(/.f64 x (/.f64 (+.f64 y 1) y))
4.0ms	(/.f64 (+.f64 y 1) y)

simplify120.0ms (10.1%)

Algorithm

1×	egg-herbie

Rules

576×	`times-frac_binary64`
492×	`fma-neg_binary64`
406×	`associate-/l*_binary64`
369×	`associate-/r/_binary64`
328×	`div-sub_binary64`

Counts

155 → 169

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	2645
1	435	2511
2	1318	2503
3	3897	2503
4	4666	2503
5	5372	2503

prune74.0ms (6.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	168	1	169
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	170	2	172

Error

Counts

172 → 2

Alt Table

Status	Error	Program
✓	7.1b	(/.f64 (*.f64 x y) (+.f64 y 1))
▶	0.1b	(/.f64 x (+.f64 1 (/.f64 1 y)))

Compiler

Compiled 2604 to 1486 computations (42.9% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (+.f64 1 (/.f64 1 y)))

series15.0ms (1.2%)

Counts

1 → 12

Calls

1 calls:

14.0ms

(/.f64 x (+.f64 1 (/.f64 1 y)))

rewrite10.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64`
15×	`times-frac_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
8×	`distribute-lft-out_binary64`

Counts

1 → 39

Calls

1 calls:

8.0ms

(/.f64 x (+.f64 1 (/.f64 1 y)))

simplify89.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

648×	`fma-def_binary64`
331×	`times-frac_binary64`
319×	`associate-l_binary64`
313×	`associate-/l*_binary64`
286×	`fma-neg_binary64`

Counts

51 → 51

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	818
1	205	763
2	494	758
3	1227	758
4	4363	758
5	4799	758
6	5075	758

prune32.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	51	2	53

Error

Counts

53 → 2

Alt Table

Status	Error	Program
✓	7.1b	(/.f64 (*.f64 x y) (+.f64 y 1))
✓	0.1b	(/.f64 x (+.f64 1 (/.f64 1 y)))

Compiler

Compiled 737 to 498 computations (32.4% saved)

regimes48.0ms (4%)

Accuracy

Total 0.0b remaining (58.1%)

Threshold costs 0.0b (58.1%)

Counts

17 → 1

Compiler

Compiled 489 to 338 computations (30.9% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	10	10

end37.0ms (3.1%)

Compiler: Compiled 36 to 25 computations (30.6% saved)

Details

analyze27.0ms (2.2%)

sample574.0ms (48%)

simplify8.0ms (0.7%)

prune1.0ms (0.1%)

localize4.0ms (0.3%)

series9.0ms (0.8%)

rewrite8.0ms (0.7%)

simplify65.0ms (5.5%)

prune32.0ms (2.6%)

localize4.0ms (0.3%)

series13.0ms (1.1%)

rewrite18.0ms (1.5%)

simplify120.0ms (10.1%)

prune74.0ms (6.2%)

localize4.0ms (0.3%)

series15.0ms (1.2%)

rewrite10.0ms (0.8%)

simplify89.0ms (7.5%)

prune32.0ms (2.7%)

regimes48.0ms (4%)

simplify2.0ms (0.2%)

end37.0ms (3.1%)

Profiling