Details

analyze92.0ms (4.9%)

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
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample723.0ms (38.1%)

Results

679.0ms	8256×	body	128	valid
13.0ms	182×	body	128	invalid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

13×	`associate-l_binary64`
11×	`associate-r_binary64`
10×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	14	10
2	29	10
3	46	10
4	47	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

0.2b

Counts

3 → 2

Alt Table

Status	Error	Program
	10.9b	(.f64 x (.f64 3 (*.f64 y y)))
▶	0.5b	(.f64 (.f64 (*.f64 x 3) y) y)

Compiler

Compiled 52 to 34 computations (34.6% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (*.f64 x 3) y) y)
✓	0.5b	(.f64 (.f64 x 3) y)

series22.0ms (1.2%)

Counts

2 → 48

Calls

2 calls:

14.0ms	(.f64 (.f64 x 3) y)
9.0ms	(.f64 (.f64 (*.f64 x 3) y) y)

rewrite43.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`log1p-expm1-u_binary64`
608×	`expm1-log1p-u_binary64`
377×	`log-prod_binary64`
126×	`expm1-udef_binary64`
126×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	142	17
2	1683	17

Stop Event

1×	node limit

Counts

2 → 36

Calls

2 calls:

42.0ms	(.f64 (.f64 (*.f64 x 3) y) y)
42.0ms	(.f64 (.f64 x 3) y)

simplify90.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

599×	`sqr-pow_binary64`
404×	`fabs-mul_binary64`
386×	`cube-prod_binary64`
381×	`pow-sqr_binary64`
295×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	408
1	23	408
2	45	408
3	84	408
4	235	408
5	835	408
6	1081	408
7	1495	408
8	1595	408
9	1728	408
10	1897	408
11	2142	408
12	2455	408
13	2825	408
14	3284	408
15	3867	408
16	4575	408

Stop Event

1×	node limit

Counts

84 → 40

prune32.0ms (1.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	33	7	40
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	33	9	42

Error

0.0b

Counts

42 → 9

Alt Table

Status	Error	Program
	10.9b	(.f64 x (.f64 3 (*.f64 y y)))
	35.2b	(pow.f64 (.f64 (sqrt.f64 (.f64 x 3)) y) 2)
	10.9b	(+.f64 0 (.f64 x (.f64 (*.f64 3 y) y)))
✓	0.5b	(.f64 (.f64 (*.f64 x 3) y) y)
	26.5b	(.f64 (pow.f64 (sqrt.f64 (.f64 x (*.f64 3 y))) 2) y)
	1.0b	(.f64 (pow.f64 (cbrt.f64 (.f64 x (*.f64 3 y))) 3) y)
▶	0.2b	(.f64 3 (.f64 y (*.f64 y x)))
	10.9b	(.f64 3 (.f64 (pow.f64 y 2) x))
	0.3b	(.f64 (.f64 x (*.f64 3 y)) y)

Compiler

Compiled 621 to 429 computations (30.9% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 y (.f64 y x))
✓	0.2b	(.f64 3 (.f64 y (*.f64 y x)))

series16.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

9.0ms	(.f64 3 (.f64 y (*.f64 y x)))
7.0ms	(.f64 y (.f64 y x))

rewrite39.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

610×	`log1p-expm1-u_binary64`
610×	`expm1-log1p-u_binary64`
379×	`log-prod_binary64`
126×	`expm1-udef_binary64`
126×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	142	17
2	1687	17

Stop Event

1×	node limit

Counts

2 → 34

Calls

2 calls:

38.0ms	(.f64 y (.f64 y x))
38.0ms	(.f64 3 (.f64 y (*.f64 y x)))

simplify82.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

775×	`sqr-pow_binary64`
402×	`fabs-mul_binary64`
386×	`cube-prod_binary64`
381×	`pow-sqr_binary64`
256×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	408
1	17	408
2	37	408
3	82	408
4	216	408
5	710	408
6	966	408
7	1380	408
8	1480	408
9	1613	408
10	1782	408
11	2025	408
12	2338	408
13	2710	408
14	3169	408
15	3748	408
16	4458	408

Stop Event

1×	node limit

Counts

82 → 38

prune27.0ms (1.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	38	9	47

Error

0.0b

Counts

47 → 9

Alt Table

Status	Error	Program
	10.9b	(.f64 x (.f64 3 (*.f64 y y)))
	35.2b	(pow.f64 (.f64 (sqrt.f64 (.f64 x 3)) y) 2)
	10.9b	(+.f64 0 (.f64 x (.f64 (*.f64 3 y) y)))
✓	0.5b	(.f64 (.f64 (*.f64 x 3) y) y)
	26.5b	(.f64 (pow.f64 (sqrt.f64 (.f64 x (*.f64 3 y))) 2) y)
	1.0b	(.f64 (pow.f64 (cbrt.f64 (.f64 x (*.f64 3 y))) 3) y)
✓	0.2b	(.f64 3 (.f64 y (*.f64 y x)))
	10.9b	(.f64 3 (.f64 (pow.f64 y 2) x))
▶	0.3b	(.f64 (.f64 x (*.f64 3 y)) y)

Compiler

Compiled 587 to 322 computations (45.1% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x (*.f64 3 y)) y)
✓	0.3b	(.f64 x (.f64 3 y))

series15.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

9.0ms	(.f64 (.f64 x (*.f64 3 y)) y)
6.0ms	(.f64 x (.f64 3 y))

rewrite36.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

623×	`log1p-expm1-u_binary64`
623×	`expm1-log1p-u_binary64`
388×	`log-prod_binary64`
128×	`expm1-udef_binary64`
128×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	143	17
2	1720	17

Stop Event

1×	node limit

Counts

2 → 36

Calls

2 calls:

35.0ms	(.f64 (.f64 x (*.f64 3 y)) y)
35.0ms	(.f64 x (.f64 3 y))

simplify83.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

599×	`sqr-pow_binary64`
404×	`fabs-mul_binary64`
386×	`cube-prod_binary64`
381×	`pow-sqr_binary64`
295×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	408
1	23	408
2	45	408
3	84	408
4	235	408
5	835	408
6	1081	408
7	1495	408
8	1595	408
9	1728	408
10	1897	408
11	2142	408
12	2455	408
13	2825	408
14	3284	408
15	3867	408
16	4575	408

Stop Event

1×	node limit

Counts

84 → 40

prune30.0ms (1.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	40	9	49

Error

0.0b

Counts

49 → 9

Alt Table

Status	Error	Program
	10.9b	(.f64 x (.f64 3 (*.f64 y y)))
	35.2b	(pow.f64 (.f64 (sqrt.f64 (.f64 x 3)) y) 2)
	10.9b	(+.f64 0 (.f64 x (.f64 (*.f64 3 y) y)))
✓	0.5b	(.f64 (.f64 (*.f64 x 3) y) y)
	26.5b	(.f64 (pow.f64 (sqrt.f64 (.f64 x (*.f64 3 y))) 2) y)
▶	1.0b	(.f64 (pow.f64 (cbrt.f64 (.f64 x (*.f64 3 y))) 3) y)
✓	0.2b	(.f64 3 (.f64 y (*.f64 y x)))
	10.9b	(.f64 3 (.f64 (pow.f64 y 2) x))
✓	0.3b	(.f64 (.f64 x (*.f64 3 y)) y)

Compiler

Compiled 605 to 417 computations (31.1% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (pow.f64 (cbrt.f64 (.f64 x (*.f64 3 y))) 3) y)
	0.3b	(.f64 x (.f64 3 y))
✓	0.6b	(pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3)
✓	8.5b	(cbrt.f64 (.f64 x (.f64 3 y)))

series199.0ms (10.5%)

Counts

3 → 24

Calls

3 calls:

108.0ms	(.f64 (pow.f64 (cbrt.f64 (.f64 x (*.f64 3 y))) 3) y)
64.0ms	(pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3)
28.0ms	(cbrt.f64 (.f64 x (.f64 3 y)))

rewrite44.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`log1p-expm1-u_binary64`
713×	`expm1-log1p-u_binary64`
141×	`expm1-udef_binary64`
141×	`log1p-udef_binary64`
83×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	183	26
2	2021	26

Stop Event

1×	node limit

Counts

3 → 83

Calls

3 calls:

43.0ms	(.f64 (pow.f64 (cbrt.f64 (.f64 x (*.f64 3 y))) 3) y)
43.0ms	(pow.f64 (cbrt.f64 (.f64 x (.f64 3 y))) 3)
43.0ms	(cbrt.f64 (.f64 x (.f64 3 y)))

simplify73.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

775×	`sqr-pow_binary64`
402×	`fabs-mul_binary64`
386×	`cube-prod_binary64`
381×	`pow-sqr_binary64`
256×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	240
1	17	240
2	37	240
3	82	240
4	216	240
5	710	240
6	966	240
7	1380	240
8	1480	240
9	1613	240
10	1782	240
11	2025	240
12	2338	240
13	2710	240
14	3169	240
15	3748	240
16	4458	240

Stop Event

1×	node limit

Counts

107 → 85

prune71.0ms (3.8%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	1	4	5
Picked	0	1	1
Done	0	3	3
Total	105	9	114

Error

Counts

114 → 9

Alt Table

Status	Error	Program
	10.9b	(.f64 x (.f64 3 (*.f64 y y)))
	1.2b	(.f64 (pow.f64 (.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 x)) 3) y)
	35.2b	(pow.f64 (.f64 (sqrt.f64 (.f64 x 3)) y) 2)
	10.9b	(+.f64 0 (.f64 x (.f64 (*.f64 3 y) y)))
✓	0.5b	(.f64 (.f64 (*.f64 x 3) y) y)
✓	1.0b	(.f64 (pow.f64 (cbrt.f64 (.f64 x (*.f64 3 y))) 3) y)
✓	0.2b	(.f64 3 (.f64 y (*.f64 y x)))
	10.9b	(.f64 3 (.f64 (pow.f64 y 2) x))
✓	0.3b	(.f64 (.f64 x (*.f64 3 y)) y)

Compiler

Compiled 1479 to 1060 computations (28.3% saved)

regimes52.0ms (2.7%)

Accuracy

Total 0.2b remaining (94.1%)

Threshold costs 0.2b (94.1%)

Counts

11 → 1

Compiler

Compiled 517 to 374 computations (27.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10

Stop Event

1×

saturated

end92.0ms (4.8%)

Compiler: Compiled 109 to 78 computations (28.4% saved)

Details

analyze92.0ms (4.9%)

sample723.0ms (38.1%)

simplify7.0ms (0.4%)

prune3.0ms (0.2%)

localize5.0ms (0.2%)

series22.0ms (1.2%)

rewrite43.0ms (2.3%)

simplify90.0ms (4.7%)

prune32.0ms (1.7%)

localize5.0ms (0.3%)

series16.0ms (0.8%)

rewrite39.0ms (2.1%)

simplify82.0ms (4.3%)

prune27.0ms (1.4%)

localize4.0ms (0.2%)

series15.0ms (0.8%)

rewrite36.0ms (1.9%)

simplify83.0ms (4.4%)

prune30.0ms (1.6%)

localize9.0ms (0.5%)

series199.0ms (10.5%)

rewrite44.0ms (2.3%)

simplify73.0ms (3.9%)

prune71.0ms (3.8%)

regimes52.0ms (2.7%)

simplify2.0ms (0.1%)

end92.0ms (4.8%)

Profiling