Details

analyze101.0ms (6.3%)

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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample698.0ms (43.9%)

Results

627.0ms	8102×	body	128	valid
12.0ms	48×	body	2048	valid
10.0ms	49×	body	1024	valid
5.0ms	34×	body	512	valid
4.0ms	61×	body	128	invalid
3.0ms	23×	body	256	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify19.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

113×	`fma-def_binary64`
83×	`fma-neg_binary64`
32×	`distribute-rgt-in_binary64`
27×	`cancel-sign-sub-inv_binary64`
19×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	40	7
4	67	7
5	96	7
6	167	7
7	270	7
8	382	7
9	455	7
10	539	7
11	555	7

Stop Event

1×

saturated

Counts

1 → 1

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

0.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.1b	(*.f64 200 (-.f64 x y))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 200 (-.f64 x y))

series3.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

3.0ms

(*.f64 200 (-.f64 x y))

rewrite35.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

657×	`log1p-expm1-u_binary64`
657×	`expm1-log1p-u_binary64`
359×	`prod-diff_binary64`
121×	`log1p-udef_binary64`
67×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	131	7
2	1711	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

1 calls:

34.0ms

(*.f64 200 (-.f64 x y))

simplify21.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

141×	`fma-def_binary64`
102×	`fma-neg_binary64`
46×	`cancel-sign-sub-inv_binary64`
24×	`sub-neg_binary64`
21×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	150
1	19	150
2	33	150
3	49	150
4	77	150
5	123	150
6	213	150
7	311	150
8	391	150
9	503	150
10	557	150
11	563	150

Stop Event

1×

saturated

Counts

43 → 23

prune16.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	18	5	23
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	5	24

Error

0.0b

Counts

24 → 5

Alt Table

Status	Error	Program
	36.5b	(pow.f64 (sqrt.f64 (*.f64 200 (-.f64 x y))) 2)
	34.0b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 200) (+.f64 x y))
	44.3b	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 200) (fma.f64 x x (.f64 y (+.f64 x y))))
▶	0.0b	(-.f64 (.f64 200 x) (.f64 200 y))
	50.4b	(sqrt.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 40000))

Compiler

Compiled 329 to 208 computations (36.8% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 200 x) (.f64 200 y))

series4.0ms (0.2%)

Counts

1 → 6

Calls

1 calls:

4.0ms

(-.f64 (*.f64 200 x) (*.f64 200 y))

rewrite40.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`log1p-expm1-u_binary64`
811×	`expm1-log1p-u_binary64`
82×	`add-sqr-sqrt_binary64`
78×	`add-cbrt-cube_binary64`
77×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	165	7
2	2214	7

Stop Event

1×	node limit

Counts

1 → 53

Calls

1 calls:

36.0ms

(-.f64 (*.f64 200 x) (*.f64 200 y))

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	9	24

Stop Event

1×

saturated

Counts

59 → 55

prune35.0ms (2.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	55	5	60

Error

0.0b

Counts

60 → 5

Alt Table

Status	Error	Program
	34.0b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 200) (+.f64 x y))
	29.9b	(+.f64 (.f64 200 (-.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 200 y))) (sqrt.f64 (.f64 200 y)) (.f64 200 y)))
	36.5b	(pow.f64 (sqrt.f64 (*.f64 200 (-.f64 x y))) 2)
▶	0.0b	(fma.f64 200 x (*.f64 y -200))
	34.1b	(/.f64 (-.f64 (.f64 (.f64 x x) 40000) (.f64 (.f64 y y) 40000)) (*.f64 200 (+.f64 x y)))

Compiler

Compiled 948 to 629 computations (33.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 200 x (*.f64 y -200))

series4.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

3.0ms

(fma.f64 200 x (*.f64 y -200))

rewrite32.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

560×	`log1p-expm1-u_binary64`
560×	`expm1-log1p-u_binary64`
280×	`log-prod_binary64`
170×	`pow2_binary64`
120×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	140	8
2	1520	8

Stop Event

1×	node limit

Counts

1 → 29

Calls

1 calls:

31.0ms

(fma.f64 200 x (*.f64 y -200))

simplify19.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

141×	`fma-def_binary64`
102×	`fma-neg_binary64`
46×	`cancel-sign-sub-inv_binary64`
24×	`sub-neg_binary64`
21×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	150
1	19	150
2	33	150
3	49	150
4	77	150
5	123	150
6	213	150
7	311	150
8	391	150
9	503	150
10	557	150
11	563	150

Stop Event

1×

saturated

Counts

53 → 33

prune20.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Error

0.0b

Counts

38 → 5

Alt Table

Status	Error	Program
	34.0b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 200) (+.f64 x y))
▶	29.9b	(+.f64 (.f64 200 (-.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 200 y))) (sqrt.f64 (.f64 200 y)) (.f64 200 y)))
	36.5b	(pow.f64 (sqrt.f64 (*.f64 200 (-.f64 x y))) 2)
✓	0.0b	(fma.f64 200 x (*.f64 y -200))
	34.1b	(/.f64 (-.f64 (.f64 (.f64 x x) 40000) (.f64 (.f64 y y) 40000)) (*.f64 200 (+.f64 x y)))

Compiler

Compiled 494 to 371 computations (24.9% saved)

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 200 (-.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 200 y))) (sqrt.f64 (.f64 200 y)) (.f64 200 y)))
	0.0b	(*.f64 200 (-.f64 x y))
✓	0.1b	(sqrt.f64 (*.f64 200 y))
✓	32.4b	(fma.f64 (neg.f64 (sqrt.f64 (.f64 200 y))) (sqrt.f64 (.f64 200 y)) (*.f64 200 y))

series47.0ms (3%)

Counts

3 → 16

Calls

3 calls:

30.0ms

(+.f64 (*.f64 200 (-.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 200 y))) (sqrt.f64 (*.f64 200 y)) (*.f64 200 y)))

12.0ms

(fma.f64 (neg.f64 (sqrt.f64 (*.f64 200 y))) (sqrt.f64 (*.f64 200 y)) (*.f64 200 y))

5.0ms

(sqrt.f64 (*.f64 200 y))

rewrite60.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`fma-def_binary64`
233×	`fma-neg_binary64`
204×	`expm1-udef_binary64`
204×	`log1p-udef_binary64`
142×	`egg-rr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	53
1	247	33
2	3410	29

Stop Event

1×	node limit

Counts

3 → 142

Calls

3 calls:

58.0ms

(+.f64 (*.f64 200 (-.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 200 y))) (sqrt.f64 (*.f64 200 y)) (*.f64 200 y)))

58.0ms

(sqrt.f64 (*.f64 200 y))

58.0ms

(fma.f64 (neg.f64 (sqrt.f64 (*.f64 200 y))) (sqrt.f64 (*.f64 200 y)) (*.f64 200 y))

simplify35.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

722×	`fma-def_binary64`
445×	`distribute-rgt-neg-in_binary64`
386×	`fma-neg_binary64`
325×	`distribute-lft-neg-in_binary64`
264×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	170
1	37	100
2	74	91
3	138	91
4	315	91
5	947	91
6	1640	91
7	2631	91
8	3783	91

Stop Event

1×	node limit

Counts

158 → 149

prune140.0ms (8.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	213	6	219

Error

Counts

219 → 6

Alt Table

Status	Error	Program
	34.0b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) 200) (+.f64 x y))
✓	29.9b	(+.f64 (.f64 200 (-.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 200 y))) (sqrt.f64 (.f64 200 y)) (.f64 200 y)))
	36.5b	(pow.f64 (sqrt.f64 (*.f64 200 (-.f64 x y))) 2)
	30.0b	(+.f64 (.f64 200 (-.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 200 y))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 200 y))) (cbrt.f64 (.f64 200 y))) (.f64 200 y)))
✓	0.0b	(fma.f64 200 x (*.f64 y -200))
	34.1b	(/.f64 (-.f64 (.f64 (.f64 x x) 40000) (.f64 (.f64 y y) 40000)) (*.f64 200 (+.f64 x y)))

Compiler

Compiled 4546 to 3129 computations (31.2% saved)

regimes149.0ms (9.4%)

Accuracy

Total 0.0b remaining (64.7%)

Threshold costs 0.0b (64.7%)

Counts

31 → 1

Compiler

Compiled 1761 to 1341 computations (23.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8

Stop Event

1×

saturated

end80.0ms (5%)

Compiler: Compiled 116 to 85 computations (26.7% saved)

Iter	Nodes	Cost
0	9	150
1	19	150
2	33	150
3	49	150
4	77	150
5	123	150
6	213	150
7	311	150
8	391	150
9	503	150
10	557	150
11	563	150

Iter	Nodes	Cost
0	9	150
1	19	150
2	33	150
3	49	150
4	77	150
5	123	150
6	213	150
7	311	150
8	391	150
9	503	150
10	557	150
11	563	150

Iter	Nodes	Cost
0	9	150
1	19	150
2	33	150
3	49	150
4	77	150
5	123	150
6	213	150
7	311	150
8	391	150
9	503	150
10	557	150
11	563	150

Iter	Nodes	Cost
0	9	150
1	19	150
2	33	150
3	49	150
4	77	150
5	123	150
6	213	150
7	311	150
8	391	150
9	503	150
10	557	150
11	563	150

Details

analyze101.0ms (6.3%)

sample698.0ms (43.9%)

simplify19.0ms (1.2%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series3.0ms (0.2%)

rewrite35.0ms (2.2%)

simplify21.0ms (1.3%)

prune16.0ms (1%)

localize6.0ms (0.4%)

series4.0ms (0.2%)

rewrite40.0ms (2.5%)

simplify7.0ms (0.4%)

prune35.0ms (2.2%)

localize4.0ms (0.2%)

series4.0ms (0.2%)

rewrite32.0ms (2%)

simplify19.0ms (1.2%)

prune20.0ms (1.2%)

localize8.0ms (0.5%)

series47.0ms (3%)

rewrite60.0ms (3.8%)

simplify35.0ms (2.2%)

prune140.0ms (8.8%)

regimes149.0ms (9.4%)

simplify2.0ms (0.1%)

end80.0ms (5%)

Profiling

Iter	Nodes	Cost
0	9	150
1	19	150
2	33	150
3	49	150
4	77	150
5	123	150
6	213	150
7	311	150
8	391	150
9	503	150
10	557	150
11	563	150

Iter	Nodes	Cost
0	9	150
1	19	150
2	33	150
3	49	150
4	77	150
5	123	150
6	213	150
7	311	150
8	391	150
9	503	150
10	557	150
11	563	150