Details

analyze429.0ms (7.1%)

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)

sample1.1s (17.7%)

Symmetry

(sort d2 d3)

Results

833.0ms	7764×	body	128	valid
72.0ms	719×	body	128	invalid
51.0ms	214×	body	512	valid
50.0ms	168×	body	1024	valid
18.0ms	110×	body	256	valid

Compiler

Compiled 44 to 29 computations (34.1% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	20	10
2	44	10
3	64	10
4	66	10
5	67	10
6	67	10

prune3.0ms (0%)

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)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.1%)

Counts

1 → 28

Calls

1 calls:

9.0ms

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

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64`
5×	`add-sqr-sqrt_binary64`
3×	`distribute-lft-out_binary64`
3×	`associate-l_binary64`

Counts

1 → 26

Calls

1 calls:

6.0ms

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

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

949×	`distribute-rgt-in_binary64`
943×	`distribute-lft-in_binary64`
503×	`fma-neg_binary64`
394×	`associate-l_binary64`
294×	`associate-r_binary64`

Counts

54 → 48

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	601
1	162	559
2	683	559
3	2795	559
4	3172	559
5	4459	559
6	4975	559

prune39.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Error

0.0b

Counts

50 → 4

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))
	1.0b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))
▶	0.1b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
	25.5b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))

Compiler

Compiled 741 to 407 computations (45.1% saved)

localize8.0ms (0.1%)

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))

series15.0ms (0.3%)

Counts

2 → 60

Calls

2 calls:

10.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
5.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
5×	`fma-def_binary64`
4×	`distribute-lft-out_binary64`
4×	`sum-log_binary64`
3×	`*-un-lft-identity_binary64`

Counts

2 → 35

Calls

2 calls:

5.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
3.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

simplify71.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

641×	`fma-def_binary64`
622×	`associate-l_binary64`
565×	`fma-neg_binary64`
495×	`associate-r_binary64`
492×	`distribute-rgt-in_binary64`

Counts

95 → 66

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	934
1	232	892
2	893	888
3	4255	888
4	4992	888
5	5184	888

prune43.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	66	4	70

Error

0.0b

Counts

70 → 4

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))
▶	1.0b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))
✓	0.1b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
	25.5b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))

Compiler

Compiled 1166 to 587 computations (49.7% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 d1 (.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3)))))
✓	0.3b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))
✓	0.4b	(*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))
✓	0.4b	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))

series621.0ms (10.3%)

Counts

4 → 120

Calls

4 calls:

515.0ms	(.f64 d1 (.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3)))))
66.0ms	(*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))
31.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
8.0ms	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))

rewrite70.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`cbrt-div_binary64`
70×	`*-un-lft-identity_binary64`
46×	`cbrt-prod_binary64`
44×	`associate-*r/_binary64`
40×	`flip-+_binary64`

Counts

4 → 162

Calls

4 calls:

21.0ms	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))
14.0ms	(.f64 d1 (.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3)))))
11.0ms	(*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))
3.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))

simplify267.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

828×	`fma-def_binary64`
319×	`*-commutative_binary64`
236×	`fma-neg_binary64`
226×	`associate--l+_binary64`
173×	`+-commutative_binary64`

Counts

282 → 355

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	755	11313
1	2310	10560
2	4992	10558
3	5180	10558

prune529.0ms (8.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	500	1	501
Fresh	0	1	1
Picked	0	1	1
Done	1	1	2
Total	501	4	505

Error

Counts

505 → 4

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))
✓	1.0b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))
▶	22.1b	(.f64 (.f64 (.f64 d1 (.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))) (cbrt.f64 (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))) (cbrt.f64 (sqrt.f64 (+.f64 3 (+.f64 d2 d3)))))
	25.5b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))

Compiler

Compiled 24259 to 16109 computations (33.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))) (cbrt.f64 (sqrt.f64 (+.f64 3 (+.f64 d2 d3)))))
✓	0.2b	(.f64 (.f64 (.f64 d1 (.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))) (cbrt.f64 (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))) (cbrt.f64 (sqrt.f64 (+.f64 3 (+.f64 d2 d3)))))
	0.4b	(*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))
	0.4b	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))

series865.0ms (14.4%)

Counts

2 → 72

Calls

2 calls:

855.0ms

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

9.0ms

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

rewrite121.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

270×	`cbrt-div_binary64`
164×	`frac-times_binary64`
135×	`flip-+_binary64`
135×	`flip3-+_binary64`
130×	`associate-*r/_binary64`

Counts

2 → 171

Calls

2 calls:

28.0ms

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

23.0ms

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

simplify293.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

1000×	`fma-def_binary64`
485×	`*-commutative_binary64`
261×	`associate-l_binary64`
191×	`+-commutative_binary64`
176×	`associate-r_binary64`

Counts

243 → 305

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	926	18774
1	2869	17292
2	4945	17292

prune807.0ms (13.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	558	0	558
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	558	4	562

Error

Counts

562 → 4

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))
✓	1.0b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))
✓	22.1b	(.f64 (.f64 (.f64 d1 (.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))) (cbrt.f64 (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))) (cbrt.f64 (sqrt.f64 (+.f64 3 (+.f64 d2 d3)))))
	25.5b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))

Compiler

Compiled 38954 to 25195 computations (35.3% saved)

regimes564.0ms (9.4%)

Accuracy

Total 0.0b remaining (62.1%)

Threshold costs 0.0b (62.1%)

Counts

108 → 1

Compiler

Compiled 9604 to 6612 computations (31.2% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11
2	10	11

end79.0ms (1.3%)

Remove: (sort d2 d3)
Compiler: Compiled 133 to 84 computations (36.8% saved)

Details

analyze429.0ms (7.1%)

sample1.1s (17.7%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize4.0ms (0.1%)

series9.0ms (0.1%)

rewrite7.0ms (0.1%)

simplify67.0ms (1.1%)

prune39.0ms (0.7%)

localize8.0ms (0.1%)

series15.0ms (0.3%)

rewrite9.0ms (0.2%)

simplify71.0ms (1.2%)

prune43.0ms (0.7%)

localize8.0ms (0.1%)

series621.0ms (10.3%)

rewrite70.0ms (1.2%)

simplify267.0ms (4.4%)

prune529.0ms (8.8%)

localize12.0ms (0.2%)

series865.0ms (14.4%)

rewrite121.0ms (2%)

simplify293.0ms (4.9%)

prune807.0ms (13.4%)

regimes564.0ms (9.4%)

simplify3.0ms (0%)

end79.0ms (1.3%)

Profiling