Details

analyze422.0ms (14.3%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.0s (34.6%)

Symmetry

(sort d2 d3)

Results

792.0ms	7729×	body	128	valid
66.0ms	677×	body	128	invalid
56.0ms	229×	body	512	valid
51.0ms	172×	body	1024	valid
22.0ms	126×	body	256	valid

Compiler

Compiled 44 to 29 computations (34.1% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

25×	`fma-def_binary64`
9×	`+-commutative_binary64`
9×	`*-commutative_binary64`
7×	`distribute-lft-out_binary64`
6×	`associate-+r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	20	10
2	46	10
3	74	10
4	85	10
5	86	10

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
▶	0.1b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))
	0.1b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))

Compiler

Compiled 69 to 45 computations (34.8% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

series7.0ms (0.2%)

Counts

1 → 28

Calls

1 calls:

7.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

rewrite44.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

680×	`prod-diff_binary64`
301×	`fma-def_binary64`
172×	`expm1-udef_binary64`
172×	`log1p-udef_binary64`
149×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	186	10
2	2695	10

Stop Event

1×	node limit

Counts

1 → 53

Calls

1 calls:

43.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

25×	`fma-def_binary64`
8×	`+-commutative_binary64`
7×	`*-commutative_binary64`
6×	`distribute-rgt-in_binary64`
5×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	250
1	44	250
2	66	250
3	82	250
4	83	250

Stop Event

1×

saturated

Counts

81 → 62

prune47.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	59	5	64

Error

Counts

64 → 5

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))
▶	0.1b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
	1.3b	(pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3)))) 3)
	26.4b	(/.f64 (*.f64 (-.f64 9 (pow.f64 (+.f64 d2 d3) 2)) d1) (-.f64 3 (+.f64 d2 d3)))
	32.4b	(/.f64 (*.f64 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)) d1) (fma.f64 (+.f64 d2 d3) (-.f64 (+.f64 d2 d3) 3) 9))

Compiler

Compiled 897 to 430 computations (52.1% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
✓	0.0b	(+.f64 (.f64 d1 3) (.f64 d1 d2))

series13.0ms (0.4%)

Counts

2 → 60

Calls

2 calls:

8.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
4.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

rewrite54.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`fma-def_binary64`
346×	`fma-neg_binary64`
206×	`expm1-udef_binary64`
206×	`log1p-udef_binary64`
159×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	223	17
2	3186	17

Stop Event

1×	node limit

Counts

2 → 159

Calls

2 calls:

51.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
51.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

simplify19.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

31×	`fma-def_binary64`
9×	`+-commutative_binary64`
9×	`*-commutative_binary64`
6×	`distribute-rgt-in_binary64`
4×	`associate-+r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	490
1	57	489
2	81	489
3	89	489

Stop Event

1×

saturated

Counts

219 → 170

prune122.0ms (4.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	170	5	175

Error

Counts

175 → 5

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))
✓	0.1b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
▶	1.3b	(pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3)))) 3)
	26.4b	(/.f64 (*.f64 (-.f64 9 (pow.f64 (+.f64 d2 d3) 2)) d1) (-.f64 3 (+.f64 d2 d3)))
	32.4b	(/.f64 (*.f64 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)) d1) (fma.f64 (+.f64 d2 d3) (-.f64 (+.f64 d2 d3) 3) 9))

Compiler

Compiled 2679 to 1310 computations (51.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))
✓	0.6b	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3)))) 3)

series101.0ms (3.4%)

Counts

2 → 16

Calls

2 calls:

76.0ms	(pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3)))) 3)
25.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))

rewrite48.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

680×	`prod-diff_binary64`
187×	`expm1-udef_binary64`
187×	`log1p-udef_binary64`
106×	`add-sqr-sqrt_binary64`
105×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	227	22
2	3028	22

Stop Event

1×	node limit

Counts

2 → 72

Calls

2 calls:

46.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))
46.0ms	(pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3)))) 3)

simplify38.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

323×	`cancel-sign-sub-inv_binary64`
308×	`unswap-sqr_binary64`
272×	`associate--l+_binary64`
201×	`associate-r_binary64`
156×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	1772
1	642	1674
2	2216	1607

Stop Event

1×	node limit

Counts

88 → 103

prune146.0ms (5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	165	5	170

Error

Counts

170 → 5

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))
✓	0.1b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
✓	1.3b	(pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3)))) 3)
▶	26.4b	(/.f64 (*.f64 (-.f64 9 (pow.f64 (+.f64 d2 d3) 2)) d1) (-.f64 3 (+.f64 d2 d3)))
	32.4b	(/.f64 (*.f64 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)) d1) (fma.f64 (+.f64 d2 d3) (-.f64 (+.f64 d2 d3) 3) 9))

Compiler

Compiled 4140 to 2821 computations (31.9% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 d2 d3) 2)
✓	9.3b	(*.f64 (-.f64 9 (pow.f64 (+.f64 d2 d3) 2)) d1)
✓	15.6b	(/.f64 (*.f64 (-.f64 9 (pow.f64 (+.f64 d2 d3) 2)) d1) (-.f64 3 (+.f64 d2 d3)))

series89.0ms (3%)

Counts

3 → 96

Calls

3 calls:

55.0ms	(/.f64 (*.f64 (-.f64 9 (pow.f64 (+.f64 d2 d3) 2)) d1) (-.f64 3 (+.f64 d2 d3)))
28.0ms	(*.f64 (-.f64 9 (pow.f64 (+.f64 d2 d3) 2)) d1)
5.0ms	(pow.f64 (+.f64 d2 d3) 2)

rewrite64.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

630×	`prod-diff_binary64`
145×	`add-sqr-sqrt_binary64`
145×	`log1p-expm1-u_binary64`
145×	`expm1-log1p-u_binary64`
142×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	301	30
2	4141	30

Stop Event

1×	node limit

Counts

3 → 97

Calls

3 calls:

62.0ms	(pow.f64 (+.f64 d2 d3) 2)
62.0ms	(*.f64 (-.f64 9 (pow.f64 (+.f64 d2 d3) 2)) d1)
62.0ms	(/.f64 (*.f64 (-.f64 9 (pow.f64 (+.f64 d2 d3) 2)) d1) (-.f64 3 (+.f64 d2 d3)))

simplify51.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

556×	`associate-/r*_binary64`
235×	`associate-/r/_binary64`
207×	`cancel-sign-sub-inv_binary64`
200×	`fma-neg_binary64`
189×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	2636
1	535	2522
2	2294	2359

Stop Event

1×	node limit

Counts

193 → 150

prune105.0ms (3.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	150	5	155

Error

Counts

155 → 5

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))
✓	0.1b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
✓	1.3b	(pow.f64 (cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3)))) 3)
✓	26.4b	(/.f64 (*.f64 (-.f64 9 (pow.f64 (+.f64 d2 d3) 2)) d1) (-.f64 3 (+.f64 d2 d3)))
	32.4b	(/.f64 (*.f64 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)) d1) (fma.f64 (+.f64 d2 d3) (-.f64 (+.f64 d2 d3) 3) 9))

Compiler

Compiled 3916 to 2278 computations (41.8% saved)

regimes425.0ms (14.4%)

Accuracy

Total 0.0b remaining (59.1%)

Threshold costs 0.0b (59.1%)

Counts

109 → 1

Compiler

Compiled 6420 to 4300 computations (33% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`*-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	16	11

Stop Event

1×

saturated

end75.0ms (2.6%)

Remove: (sort d2 d3)
Compiler: Compiled 122 to 80 computations (34.4% saved)

Details

analyze422.0ms (14.3%)

sample1.0s (34.6%)

simplify10.0ms (0.3%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series7.0ms (0.2%)

rewrite44.0ms (1.5%)

simplify12.0ms (0.4%)

prune47.0ms (1.6%)

localize9.0ms (0.3%)

series13.0ms (0.4%)

rewrite54.0ms (1.8%)

simplify19.0ms (0.6%)

prune122.0ms (4.2%)

localize7.0ms (0.2%)

series101.0ms (3.4%)

rewrite48.0ms (1.6%)

simplify38.0ms (1.3%)

prune146.0ms (5%)

localize8.0ms (0.3%)

series89.0ms (3%)

rewrite64.0ms (2.2%)

simplify51.0ms (1.7%)

prune105.0ms (3.6%)

regimes425.0ms (14.4%)

simplify3.0ms (0.1%)

end75.0ms (2.6%)

Profiling