Details

analyze57.0ms (4.4%)

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

Compiler

Compiled 8 to 6 computations (25% saved)

sample815.0ms (63.1%)

Results

784.0ms

8256×

body

128

valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify10.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
2	7	7

prune2.0ms (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

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 x (/.f64 y 500))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 y 500))

series3.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

3.0ms

(+.f64 x (/.f64 y 500))

rewrite5.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64`
3×	`add-log-exp_binary64`
3×	`fma-def_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`

Counts

1 → 17

Calls

1 calls:

5.0ms

(+.f64 x (/.f64 y 500))

simplify89.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

636×	`unswap-sqr_binary64`
507×	`fma-neg_binary64`
412×	`distribute-rgt-out_binary64`
314×	`associate-+l+_binary64`
287×	`cancel-sign-sub-inv_binary64`

Counts

41 → 30

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	32	280
1	93	265
2	201	262
3	452	262
4	1131	260
5	2445	234
6	3841	234
7	4882	234
8	4845	234

prune18.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Error

Counts

31 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 x (/.f64 y 500))
▶	32.3b	(/.f64 (fma.f64 y (.f64 -1/250000 y) (.f64 x x)) (fma.f64 -1/500 y x))

Compiler

Compiled 326 to 211 computations (35.3% saved)

localize8.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 -1/500 y x)
✓	0.3b	(*.f64 -1/250000 y)
✓	2.3b	(fma.f64 y (.f64 -1/250000 y) (.f64 x x))
✓	30.2b	(/.f64 (fma.f64 y (.f64 -1/250000 y) (.f64 x x)) (fma.f64 -1/500 y x))

series27.0ms (2.1%)

Counts

4 → 72

Calls

4 calls:

11.0ms	(/.f64 (fma.f64 y (.f64 -1/250000 y) (.f64 x x)) (fma.f64 -1/500 y x))
10.0ms	(fma.f64 y (.f64 -1/250000 y) (.f64 x x))
3.0ms	(fma.f64 -1/500 y x)
2.0ms	(*.f64 -1/250000 y)

rewrite8.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
8×	`add-cbrt-cube_binary64`

Counts

4 → 69

Calls

4 calls:

3.0ms	(*.f64 -1/250000 y)
2.0ms	(/.f64 (fma.f64 y (.f64 -1/250000 y) (.f64 x x)) (fma.f64 -1/500 y x))
0.0ms	(fma.f64 -1/500 y x)
0.0ms	(fma.f64 y (.f64 -1/250000 y) (.f64 x x))

simplify105.0ms (8.2%)

Algorithm

1×	egg-herbie

Rules

639×	`times-frac_binary64`
457×	`associate-/l*_binary64`
226×	`distribute-rgt-in_binary64`
221×	`fma-def_binary64`
220×	`distribute-lft-in_binary64`

Counts

141 → 132

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	107	1783
1	188	1589
2	402	1589
3	1146	1589
4	4395	1589
5	4990	1589
6	4941	1589

prune64.0ms (5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	132	2	134

Error

Counts

134 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 x (/.f64 y 500))
✓	32.3b	(/.f64 (fma.f64 y (.f64 -1/250000 y) (.f64 x x)) (fma.f64 -1/500 y x))

Compiler

Compiled 2620 to 1413 computations (46.1% saved)

regimes34.0ms (2.7%)

Accuracy

Total 0.0b remaining (26.3%)

Threshold costs 0.0b (26.3%)

Counts

7 → 1

Compiler

Compiled 276 to 190 computations (31.2% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
2	7	7

end39.0ms (3%)

Compiler: Compiled 36 to 24 computations (33.3% saved)

Details

analyze57.0ms (4.4%)

sample815.0ms (63.1%)

simplify10.0ms (0.8%)

prune2.0ms (0.1%)

localize3.0ms (0.3%)

series3.0ms (0.3%)

rewrite5.0ms (0.4%)

simplify89.0ms (6.9%)

prune18.0ms (1.4%)

localize8.0ms (0.7%)

series27.0ms (2.1%)

rewrite8.0ms (0.6%)

simplify105.0ms (8.2%)

prune64.0ms (5%)

regimes34.0ms (2.7%)

simplify2.0ms (0.2%)

end39.0ms (3%)

Profiling