Details

analyze523.0ms (17.2%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
18.7%	81.1%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
45.2%	53.8%	0.9%	9
50.3%	47.8%	1.9%	10
54%	43.6%	2.4%	11
61.7%	32.9%	5.4%	12
64.1%	28.3%	7.6%	13
66.2%	24.7%	9.2%	14

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.2s (39%)

Results

962.0ms	8256×	body	128	valid
173.0ms	1317×	body	128	invalid

Compiler

Compiled 47 to 32 computations (31.9% saved)

simplify45.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1128×	`fma-def_binary64`
1073×	`fma-neg_binary64`
226×	`cancel-sign-sub-inv_binary64`
222×	`distribute-rgt-in_binary64`
162×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	22	18
2	46	18
3	78	18
4	141	16
5	274	16
6	443	16
7	744	16
8	1785	13
9	3544	13
10	4642	13
11	4838	13
12	4935	13
13	4935	13

Stop Event

1×

saturated

Counts

1 → 2

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	4.1b	(fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))
▶	2.2b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))

Compiler

Compiled 78 to 51 computations (34.6% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
✓	3.7b	(*.f64 (/.f64 x y) z)

series32.0ms (1%)

Counts

2 → 72

Calls

2 calls:

18.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
13.0ms	(*.f64 (/.f64 x y) z)

rewrite62.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

334×	`fma-def_binary64`
220×	`expm1-udef_binary64`
220×	`log1p-udef_binary64`
202×	`fma-neg_binary64`
184×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	236	20
2	3526	20

Stop Event

1×	node limit

Counts

2 → 144

Calls

2 calls:

58.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
58.0ms	(*.f64 (/.f64 x y) z)

simplify62.0ms (2%)

Algorithm

1×	egg-herbie

Rules

739×	`fma-neg_binary64`
323×	`fma-def_binary64`
185×	`distribute-rgt-in_binary64`
178×	`cancel-sign-sub-inv_binary64`
160×	`unsub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	880
1	78	880
2	186	730
3	442	638
4	952	631
5	2050	631
6	3051	631
7	3597	631
8	3609	631
9	3609	631

Stop Event

1×

saturated

Counts

216 → 159

prune115.0ms (3.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	156	3	159
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	156	5	161

Error

Counts

161 → 5

Alt Table

Status	Error	Program
▶	2.3b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))
	4.1b	(fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))
✓	2.2b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
	2.4b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
	30.9b	(fabs.f64 (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))

Compiler

Compiled 3510 to 1677 computations (52.2% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))
✓	5.3b	(/.f64 x (/.f64 y z))

series30.0ms (1%)

Counts

2 → 72

Calls

2 calls:

18.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))
12.0ms	(/.f64 x (/.f64 y z))

rewrite60.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

256×	`fma-neg_binary64`
234×	`expm1-udef_binary64`
234×	`log1p-udef_binary64`
127×	`add-sqr-sqrt_binary64`
124×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	245	23
2	4001	23

Stop Event

1×	node limit

Counts

2 → 108

Calls

2 calls:

58.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))
58.0ms	(/.f64 x (/.f64 y z))

simplify62.0ms (2%)

Algorithm

1×	egg-herbie

Rules

739×	`fma-neg_binary64`
323×	`fma-def_binary64`
185×	`distribute-rgt-in_binary64`
178×	`cancel-sign-sub-inv_binary64`
160×	`unsub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	880
1	78	880
2	186	730
3	442	638
4	952	631
5	2050	631
6	3051	631
7	3597	631
8	3609	631
9	3609	631

Stop Event

1×

saturated

Counts

180 → 122

prune85.0ms (2.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	122	5	127

Error

Counts

127 → 5

Alt Table

Status	Error	Program
✓	2.3b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))
	4.1b	(fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))
✓	2.2b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
▶	2.4b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
	30.9b	(fabs.f64 (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))

Compiler

Compiled 2428 to 1191 computations (50.9% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))
✓	3.9b	(/.f64 z (/.f64 y x))

series31.0ms (1%)

Counts

2 → 72

Calls

2 calls:

18.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))
13.0ms	(/.f64 z (/.f64 y x))

rewrite60.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

256×	`fma-neg_binary64`
234×	`expm1-udef_binary64`
234×	`log1p-udef_binary64`
127×	`add-sqr-sqrt_binary64`
124×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	245	23
2	4002	23

Stop Event

1×	node limit

Counts

2 → 108

Calls

2 calls:

58.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))
58.0ms	(/.f64 z (/.f64 y x))

simplify65.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

739×	`fma-neg_binary64`
323×	`fma-def_binary64`
185×	`distribute-rgt-in_binary64`
178×	`cancel-sign-sub-inv_binary64`
160×	`unsub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	880
1	78	880
2	186	730
3	442	638
4	952	631
5	2050	631
6	3051	631
7	3597	631
8	3609	631
9	3609	631

Stop Event

1×

saturated

Counts

180 → 122

prune79.0ms (2.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	122	5	127

Error

Counts

127 → 5

Alt Table

Status	Error	Program
✓	2.3b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))
▶	4.1b	(fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))
✓	2.2b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
✓	2.4b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
	30.9b	(fabs.f64 (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))

Compiler

Compiled 2413 to 1180 computations (51.1% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.9b	(/.f64 (-.f64 (fma.f64 x z -4) x) y)

series13.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

13.0ms

(/.f64 (-.f64 (fma.f64 x z -4) x) y)

rewrite73.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`prod-diff_binary64`
232×	`fma-def_binary64`
171×	`expm1-udef_binary64`
171×	`log1p-udef_binary64`
169×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	180	11
2	2573	11

Stop Event

1×	node limit

Counts

1 → 169

Calls

1 calls:

67.0ms

(/.f64 (-.f64 (fma.f64 x z -4) x) y)

simplify55.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

774×	`fma-neg_binary64`
321×	`fma-def_binary64`
203×	`cancel-sign-sub-inv_binary64`
178×	`unsub-neg_binary64`
166×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	617
1	85	617
2	203	375
3	451	375
4	1032	375
5	2193	375
6	3268	375
7	3474	375
8	3480	375
9	3480	375

Stop Event

1×

saturated

Counts

205 → 182

prune145.0ms (4.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	181	1	182
Fresh	1	0	1
Picked	0	1	1
Done	0	3	3
Total	182	5	187

Error

Counts

187 → 5

Alt Table

Status	Error	Program
✓	2.3b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))
✓	4.1b	(fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))
✓	2.2b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
	4.1b	(fabs.f64 (pow.f64 (/.f64 y (-.f64 (fma.f64 x z -4) x)) -1))
✓	2.4b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))

Compiler

Compiled 7153 to 3366 computations (52.9% saved)

regimes143.0ms (4.7%)

Accuracy

Total 0.3b remaining (96.2%)

Threshold costs 0.3b (96.2%)

Counts

19 → 2

Compiler

Compiled 1152 to 811 computations (29.6% saved)

bsearch1.0ms (0%)

Compiler: Compiled 15 to 10 computations (33.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`+-commutative_binary64`
14×	`sub-neg_binary64`
9×	`*-commutative_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	59
1	40	59
2	66	59
3	85	59
4	101	59
5	107	59
6	108	59

Stop Event

1×

saturated

end76.0ms (2.5%)

Compiler: Compiled 155 to 102 computations (34.2% saved)

Details

analyze523.0ms (17.2%)

sample1.2s (39%)

simplify45.0ms (1.5%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

series32.0ms (1%)

rewrite62.0ms (2%)

simplify62.0ms (2%)

prune115.0ms (3.8%)

localize8.0ms (0.3%)

series30.0ms (1%)

rewrite60.0ms (2%)

simplify62.0ms (2%)

prune85.0ms (2.8%)

localize8.0ms (0.3%)

series31.0ms (1%)

rewrite60.0ms (2%)

simplify65.0ms (2.1%)

prune79.0ms (2.6%)

localize7.0ms (0.2%)

series13.0ms (0.4%)

rewrite73.0ms (2.4%)

simplify55.0ms (1.8%)

prune145.0ms (4.8%)

regimes143.0ms (4.7%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end76.0ms (2.5%)

Profiling