Details

analyze396.0ms (20.2%)

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
31.2%	62.4%	6.4%	9
46.8%	46.8%	6.4%	10
53.8%	39.8%	6.4%	11
57.3%	33.2%	9.5%	12
66.9%	23.6%	9.5%	13
70.3%	20.2%	9.5%	14

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample895.0ms (45.6%)

Symmetry

(sort x y)

Results

807.0ms	8256×	body	128	valid
27.0ms	310×	body	128	invalid

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify16.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

192×	`fma-def_binary64`
125×	`fma-neg_binary64`
44×	`distribute-rgt-neg-in_binary64`
37×	`cancel-sign-sub-inv_binary64`
27×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	15	10
2	29	10
3	42	10
4	76	10
5	133	10
6	246	10
7	423	10
8	577	10
9	696	10
10	746	10
11	748	10

Stop Event

1×

saturated

Counts

1 → 2

prune3.0ms (0.2%)

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
▶	0.1b	(neg.f64 (fma.f64 x (*.f64 y -3) z))
	0.1b	(-.f64 (.f64 (.f64 x 3) y) z)

Compiler

Compiled 57 to 39 computations (31.6% saved)

localize9.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (*.f64 y -3) z)

series6.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

6.0ms

(fma.f64 x (*.f64 y -3) z)

rewrite34.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`log1p-expm1-u_binary64`
589×	`expm1-log1p-u_binary64`
312×	`log-prod_binary64`
126×	`expm1-udef_binary64`
126×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	139	8
2	1594	8

Stop Event

1×	node limit

Counts

1 → 29

Calls

1 calls:

33.0ms

(fma.f64 x (*.f64 y -3) z)

simplify27.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

285×	`fma-def_binary64`
110×	`fma-neg_binary64`
57×	`cancel-sign-sub-inv_binary64`
36×	`distribute-rgt-neg-in_binary64`
27×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	309
1	21	309
2	49	255
3	107	255
4	150	255
5	198	255
6	292	255
7	371	255
8	469	255
9	665	255
10	829	255
11	841	255

Stop Event

1×

saturated

Counts

65 → 34

prune20.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Error

Counts

36 → 4

Alt Table

Status	Error	Program
	0.1b	(neg.f64 (-.f64 z (.f64 3 (.f64 y x))))
✓	0.1b	(neg.f64 (fma.f64 x (*.f64 y -3) z))
▶	0.1b	(-.f64 (.f64 (.f64 x 3) y) z)
	1.4b	(neg.f64 (.f64 (cbrt.f64 (fma.f64 x (.f64 y -3) z)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y -3) z)) 2)))

Compiler

Compiled 505 to 331 computations (34.5% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x 3) y)

series4.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

4.0ms

(*.f64 (*.f64 x 3) y)

rewrite29.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

510×	`log1p-expm1-u_binary64`
510×	`expm1-log1p-u_binary64`
384×	`unpow-prod-down_binary64`
298×	`log-prod_binary64`
153×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1402	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

1 calls:

29.0ms

(*.f64 (*.f64 x 3) y)

simplify9.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	10	168
2	17	168
3	19	168

Stop Event

1×

saturated

Counts

41 → 19

prune15.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	17	2	19
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	19	4	23

Error

Counts

23 → 4

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (.f64 (.f64 x 3) y) z)
	27.1b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 x 3) y)) 2) z)
✓	0.1b	(neg.f64 (fma.f64 x (*.f64 y -3) z))
▶	0.1b	(-.f64 (.f64 3 (.f64 y x)) z)

Compiler

Compiled 272 to 187 computations (31.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 3 (.f64 y x))

series4.0ms (0.2%)

Counts

1 → 0

Calls

1 calls:

4.0ms

(*.f64 3 (*.f64 y x))

rewrite31.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

511×	`log1p-expm1-u_binary64`
511×	`expm1-log1p-u_binary64`
386×	`unpow-prod-down_binary64`
299×	`log-prod_binary64`
153×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1404	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

1 calls:

31.0ms

(*.f64 3 (*.f64 y x))

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

17 → 17

prune18.0ms (0.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	17	4	21

Error

Counts

21 → 4

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (.f64 (.f64 x 3) y) z)
▶	27.1b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 x 3) y)) 2) z)
✓	0.1b	(neg.f64 (fma.f64 x (*.f64 y -3) z))
✓	0.1b	(-.f64 (.f64 3 (.f64 y x)) z)

Compiler

Compiled 240 to 162 computations (32.5% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (sqrt.f64 (.f64 (.f64 x 3) y)) 2)
	0.2b	(.f64 (.f64 x 3) y)
✓	8.2b	(sqrt.f64 (.f64 (.f64 x 3) y))

series51.0ms (2.6%)

Counts

2 → 0

Calls

2 calls:

33.0ms	(pow.f64 (sqrt.f64 (.f64 (.f64 x 3) y)) 2)
17.0ms	(sqrt.f64 (.f64 (.f64 x 3) y))

rewrite41.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`log1p-expm1-u_binary64`
644×	`expm1-log1p-u_binary64`
362×	`log-prod_binary64`
134×	`expm1-udef_binary64`
134×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	186	16
2	1843	16

Stop Event

1×	node limit

Counts

2 → 71

Calls

2 calls:

40.0ms	(pow.f64 (sqrt.f64 (.f64 (.f64 x 3) y)) 2)
40.0ms	(sqrt.f64 (.f64 (.f64 x 3) y))

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

71 → 71

prune51.0ms (2.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	90	4	94

Error

Counts

94 → 4

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (.f64 (.f64 x 3) y) z)
✓	27.1b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 x 3) y)) 2) z)
✓	0.1b	(neg.f64 (fma.f64 x (*.f64 y -3) z))
✓	0.1b	(-.f64 (.f64 3 (.f64 y x)) z)

Compiler

Compiled 1274 to 901 computations (29.3% saved)

regimes81.0ms (4.2%)

Accuracy

Total 0.1b remaining (89.6%)

Threshold costs 0.1b (89.6%)

Counts

10 → 1

Compiler

Compiled 804 to 592 computations (26.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	13	10
2	15	10
3	16	10

Stop Event

1×

saturated

end185.0ms (9.5%)

Compiler: Compiled 83 to 59 computations (28.9% saved)

Iter	Nodes	Cost
0	8	10
1	15	10
2	29	10
3	42	10
4	76	10
5	133	10
6	246	10
7	423	10
8	577	10
9	696	10
10	746	10
11	748	10

Iter	Nodes	Cost
0	10	309
1	21	309
2	49	255
3	107	255
4	150	255
5	198	255
6	292	255
7	371	255
8	469	255
9	665	255
10	829	255
11	841	255

Iter	Nodes	Cost
0	8	10
1	15	10
2	29	10
3	42	10
4	76	10
5	133	10
6	246	10
7	423	10
8	577	10
9	696	10
10	746	10
11	748	10

Iter	Nodes	Cost
0	10	309
1	21	309
2	49	255
3	107	255
4	150	255
5	198	255
6	292	255
7	371	255
8	469	255
9	665	255
10	829	255
11	841	255

Details

analyze396.0ms (20.2%)

sample895.0ms (45.6%)

simplify16.0ms (0.8%)

prune3.0ms (0.2%)

localize9.0ms (0.4%)

series6.0ms (0.3%)

rewrite34.0ms (1.7%)

simplify27.0ms (1.4%)

prune20.0ms (1%)

localize6.0ms (0.3%)

series4.0ms (0.2%)

rewrite29.0ms (1.5%)

simplify9.0ms (0.5%)

prune15.0ms (0.8%)

localize5.0ms (0.2%)

series4.0ms (0.2%)

rewrite31.0ms (1.6%)

simplify8.0ms (0.4%)

prune18.0ms (0.9%)

localize7.0ms (0.3%)

series51.0ms (2.6%)

rewrite41.0ms (2.1%)

simplify7.0ms (0.3%)

prune51.0ms (2.6%)

regimes81.0ms (4.2%)

simplify2.0ms (0.1%)

end185.0ms (9.5%)

Profiling

Iter	Nodes	Cost
0	8	10
1	15	10
2	29	10
3	42	10
4	76	10
5	133	10
6	246	10
7	423	10
8	577	10
9	696	10
10	746	10
11	748	10

Iter	Nodes	Cost
0	10	309
1	21	309
2	49	255
3	107	255
4	150	255
5	198	255
6	292	255
7	371	255
8	469	255
9	665	255
10	829	255
11	841	255