Details

analyze910.0ms (19.7%)

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)

sample59.0ms (1.3%)

Algorithm

1×

intervals

Results

18.0ms	237×	body	128	valid
2.0ms	33×	body	128	invalid
2.0ms	7×	body	512	valid
1.0ms	8×	body	256	valid
1.0ms	4×	body	1024	valid

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify25.0ms (0.5%)

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

prune6.0ms (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

0.1b

Counts

3 → 2

Alt Table

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

Compiler

Compiled 69 to 45 computations (34.8% saved)

localize14.0ms (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))

rewrite82.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-log-exp_binary64`
12×	`add-cube-cbrt_binary64`
8×	`*-un-lft-identity_binary64`
8×	`flip3-+_binary64`
8×	`pow1_binary64`

Counts

2 → 85

Calls

2 calls:

38.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
36.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

series123.0ms (2.7%)

Counts

2 → 60

Calls

2 calls:

81.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
41.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

simplify153.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

820×	`times-frac_binary64`
761×	`fma-neg_binary64`
611×	`distribute-rgt-in_binary64`
301×	`distribute-rgt-neg-in_binary64`
298×	`cancel-sign-sub-inv_binary64`

Counts

145 → 243

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	1611
1	320	1533
2	1484	1477
3	4829	1477
4	5209	1477

prune156.0ms (3.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	239	4	243
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	241	4	245

Error

0.0b

Counts

245 → 4

Alt Table

Status	Error	Program
	0.1b	(+.f64 (.f64 d1 3) (.f64 d1 (+.f64 d2 d3)))
	28.8b	(+.f64 (/.f64 (.f64 (.f64 d1 d1) (-.f64 9 (.f64 d2 d2))) (.f64 d1 (-.f64 3 d2))) (*.f64 d1 d3))
	0.9b	(+.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2))) 3) (*.f64 d1 d3))
▶	0.0b	(+.f64 (fma.f64 d1 3 (.f64 d1 d2)) (.f64 d1 d3))

Compiler

Compiled 2489 to 1283 computations (48.5% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (fma.f64 d1 3 (.f64 d1 d2)) (.f64 d1 d3))
✓	0.1b	(fma.f64 d1 3 (*.f64 d1 d2))

rewrite56.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-cube-cbrt_binary64`
9×	`fma-udef_binary64`
8×	`add-log-exp_binary64`
8×	`pow1_binary64`
8×	`add-sqr-sqrt_binary64`

Counts

2 → 77

Calls

2 calls:

30.0ms	(+.f64 (fma.f64 d1 3 (.f64 d1 d2)) (.f64 d1 d3))
18.0ms	(fma.f64 d1 3 (*.f64 d1 d2))

series128.0ms (2.8%)

Counts

2 → 60

Calls

2 calls:

81.0ms	(+.f64 (fma.f64 d1 3 (.f64 d1 d2)) (.f64 d1 d3))
47.0ms	(fma.f64 d1 3 (*.f64 d1 d2))

simplify158.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

592×	`fma-neg_binary64`
551×	`fma-def_binary64`
488×	`distribute-rgt-in_binary64`
459×	`distribute-lft-in_binary64`
392×	`times-frac_binary64`

Counts

137 → 218

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	1481
1	267	1372
2	1069	1347
3	4354	1327
4	4984	1327
5	5097	1327

prune119.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	217	1	218
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	218	4	222

Error

0.0b

Counts

222 → 4

Alt Table

Status	Error	Program
	0.9b	(+.f64 (pow.f64 (cbrt.f64 (fma.f64 d1 3 (.f64 d1 d2))) 3) (.f64 d1 d3))
▶	0.1b	(+.f64 (.f64 d1 3) (.f64 d1 (+.f64 d2 d3)))
	28.8b	(+.f64 (/.f64 (.f64 (.f64 d1 d1) (-.f64 9 (.f64 d2 d2))) (.f64 d1 (-.f64 3 d2))) (*.f64 d1 d3))
✓	0.0b	(+.f64 (fma.f64 d1 3 (.f64 d1 d2)) (.f64 d1 d3))

Compiler

Compiled 2002 to 961 computations (52% saved)

localize17.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite76.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`pow1_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`flip3-+_binary64`
10×	`add-cube-cbrt_binary64`
9×	`distribute-rgt-in_binary64`

Counts

2 → 93

Calls

2 calls:

35.0ms	(+.f64 (.f64 d1 3) (.f64 d1 (+.f64 d2 d3)))
29.0ms	(*.f64 d1 (+.f64 d2 d3))

series118.0ms (2.6%)

Counts

2 → 60

Calls

2 calls:

78.0ms	(+.f64 (.f64 d1 3) (.f64 d1 (+.f64 d2 d3)))
40.0ms	(*.f64 d1 (+.f64 d2 d3))

simplify137.0ms (3%)

Algorithm

1×	egg-herbie

Rules

793×	`distribute-rgt-in_binary64`
719×	`fma-def_binary64`
292×	`cancel-sign-sub-inv_binary64`
253×	`distribute-rgt-neg-in_binary64`
215×	`distribute-lft-neg-in_binary64`

Counts

153 → 249

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	1581
1	390	1512
2	1636	1497
3	5351	1497

prune126.0ms (2.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	247	2	249
Fresh	1	1	2
Picked	1	0	1
Done	1	0	1
Total	250	3	253

Error

Counts

253 → 3

Alt Table

Status	Error	Program
	0.9b	(+.f64 (pow.f64 (cbrt.f64 (fma.f64 d1 3 (.f64 d1 d2))) 3) (.f64 d1 d3))
	23.8b	(-.f64 (.f64 1 (/.f64 (.f64 9 d1) (-.f64 3 (+.f64 d2 d3)))) (.f64 1 (/.f64 (.f64 (pow.f64 (+.f64 d2 d3) 2) d1) (-.f64 3 (+.f64 d2 d3)))))
▶	0.0b	(fma.f64 d1 3 (*.f64 d1 (+.f64 d2 d3)))

Compiler

Compiled 2131 to 993 computations (53.4% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`fma-udef_binary64`
5×	`add-cube-cbrt_binary64`
4×	`pow1_binary64`
4×	`add-sqr-sqrt_binary64`
3×	`add-cbrt-cube_binary64`

Counts

1 → 34

Calls

1 calls:

19.0ms

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

series79.0ms (1.7%)

Counts

1 → 36

Calls

1 calls:

79.0ms

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

simplify146.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

390×	`associate-+l+_binary64`
367×	`associate-+r+_binary64`
361×	`sub-neg_binary64`
276×	`unsub-neg_binary64`
274×	`cancel-sign-sub-inv_binary64`

Counts

70 → 108

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	717
1	136	684
2	490	683
3	1919	680
4	4438	680
5	4876	680
6	4980	680
7	4970	680

prune106.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	220	0	220
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	220	3	223

Error

Counts

223 → 3

Alt Table

Status	Error	Program
	0.9b	(+.f64 (pow.f64 (cbrt.f64 (fma.f64 d1 3 (.f64 d1 d2))) 3) (.f64 d1 d3))
	23.8b	(-.f64 (.f64 1 (/.f64 (.f64 9 d1) (-.f64 3 (+.f64 d2 d3)))) (.f64 1 (/.f64 (.f64 (pow.f64 (+.f64 d2 d3) 2) d1) (-.f64 3 (+.f64 d2 d3)))))
✓	0.0b	(fma.f64 d1 3 (*.f64 d1 (+.f64 d2 d3)))

Compiler

Compiled 1617 to 674 computations (58.3% saved)

regimes398.0ms (8.6%)

Accuracy

Total 0.0b remaining (47.2%)

Threshold costs 0.0b (47.2%)

Compiler

Compiled 2976 to 2000 computations (32.8% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	9	12
2	9	12

end14.0ms (0.3%)

Remove: (sort d2 d3)
Compiler: Compiled 36 to 21 computations (41.7% saved)

sample1.4s (29.6%)

Algorithm

1×

intervals

Results

589.0ms	7497×	body	128	valid
59.0ms	704×	body	128	invalid
49.0ms	206×	body	512	valid
46.0ms	166×	body	1024	valid
19.0ms	131×	body	256	valid

Compiler

Compiled 87 to 58 computations (33.3% saved)

Details

analyze910.0ms (19.7%)

sample59.0ms (1.3%)

simplify25.0ms (0.5%)

prune6.0ms (0.1%)

localize14.0ms (0.3%)

rewrite82.0ms (1.8%)

series123.0ms (2.7%)

simplify153.0ms (3.3%)

prune156.0ms (3.4%)

localize13.0ms (0.3%)

rewrite56.0ms (1.2%)

series128.0ms (2.8%)

simplify158.0ms (3.4%)

prune119.0ms (2.6%)

localize17.0ms (0.4%)

rewrite76.0ms (1.6%)

series118.0ms (2.6%)

simplify137.0ms (3%)

prune126.0ms (2.7%)

localize11.0ms (0.2%)

rewrite22.0ms (0.5%)

series79.0ms (1.7%)

simplify146.0ms (3.2%)

prune106.0ms (2.3%)

regimes398.0ms (8.6%)

simplify6.0ms (0.1%)

end14.0ms (0.3%)

sample1.4s (29.6%)

Profiling