Details

analyze600.0ms (22.3%)

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
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample23.0ms (0.9%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	16×	body	128	invalid

Compiler

Compiled 24 to 18 computations (25% saved)

simplify48.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-neg_binary64`
461×	`fma-def_binary64`
143×	`distribute-rgt-in_binary64`
135×	`cancel-sign-sub-inv_binary64`
117×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	14	10
2	32	10
3	73	10
4	190	10
5	423	10
6	676	10
7	1136	10
8	1124	10
9	1359	10
10	1394	10
11	1394	10
12	1351	10

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))

Compiler

Compiled 30 to 21 computations (30% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))

series8.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

8.0ms

(*.f64 (+.f64 x y) (-.f64 1 z))

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
18×	`prod-diff_binary64`
17×	`add-cube-cbrt_binary64`
13×	`distribute-lft-in_binary64`

Counts

1 → 58

Calls

1 calls:

8.0ms

(*.f64 (+.f64 x y) (-.f64 1 z))

simplify87.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

725×	`distribute-rgt-in_binary64`
670×	`distribute-lft-in_binary64`
623×	`fma-def_binary64`
470×	`fma-neg_binary64`
304×	`*-commutative_binary64`

Counts

94 → 90

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	1510
1	295	1288
2	1142	1234
3	3920	1126
4	4552	1126
5	4752	1126

prune66.0ms (2.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	3	91

Error

Counts

91 → 3

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (+.f64 y x) (neg.f64 (*.f64 z (+.f64 y x))))
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))
	0.5b	(.f64 (.f64 (+.f64 x y) (*.f64 (cbrt.f64 (-.f64 1 z)) (cbrt.f64 (-.f64 1 z)))) (cbrt.f64 (-.f64 1 z)))

Compiler

Compiled 1732 to 762 computations (56% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 z (+.f64 y x))
✓	0.0b	(+.f64 (+.f64 y x) (neg.f64 (*.f64 z (+.f64 y x))))

series17.0ms (0.7%)

Counts

2 → 60

Calls

2 calls:

9.0ms	(*.f64 z (+.f64 y x))
8.0ms	(+.f64 (+.f64 y x) (neg.f64 (*.f64 z (+.f64 y x))))

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64`
12×	`add-log-exp_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`flip-+_binary64`
6×	`associate-*r/_binary64`

Counts

2 → 59

Calls

2 calls:

6.0ms	(+.f64 (+.f64 y x) (neg.f64 (*.f64 z (+.f64 y x))))
4.0ms	(*.f64 z (+.f64 y x))

simplify92.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

560×	`unsub-neg_binary64`
416×	`times-frac_binary64`
382×	`associate-+l+_binary64`
349×	`*-commutative_binary64`
320×	`associate-+r+_binary64`

Counts

119 → 108

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	1487
1	373	1274
2	1548	1229
3	3917	1229
4	4812	1229
5	5204	1229

prune54.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	108	3	111

Error

Counts

111 → 3

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (+.f64 y x) (neg.f64 (*.f64 z (+.f64 y x))))
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))
▶	0.5b	(.f64 (.f64 (+.f64 x y) (*.f64 (cbrt.f64 (-.f64 1 z)) (cbrt.f64 (-.f64 1 z)))) (cbrt.f64 (-.f64 1 z)))

Compiler

Compiled 1766 to 515 computations (70.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (+.f64 x y) (.f64 (cbrt.f64 (-.f64 1 z)) (cbrt.f64 (-.f64 1 z))))
✓	0.1b	(.f64 (.f64 (+.f64 x y) (*.f64 (cbrt.f64 (-.f64 1 z)) (cbrt.f64 (-.f64 1 z)))) (cbrt.f64 (-.f64 1 z)))
✓	0.2b	(*.f64 (cbrt.f64 (-.f64 1 z)) (cbrt.f64 (-.f64 1 z)))
✓	0.2b	(cbrt.f64 (-.f64 1 z))

series206.0ms (7.7%)

Counts

4 → 96

Calls

4 calls:

188.0ms	(.f64 (+.f64 x y) (.f64 (cbrt.f64 (-.f64 1 z)) (cbrt.f64 (-.f64 1 z))))
8.0ms	(.f64 (.f64 (+.f64 x y) (*.f64 (cbrt.f64 (-.f64 1 z)) (cbrt.f64 (-.f64 1 z)))) (cbrt.f64 (-.f64 1 z)))
5.0ms	(*.f64 (cbrt.f64 (-.f64 1 z)) (cbrt.f64 (-.f64 1 z)))
5.0ms	(cbrt.f64 (-.f64 1 z))

rewrite88.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

212×	`cbrt-div_binary64`
168×	`frac-times_binary64`
106×	`flip--_binary64`
106×	`flip3--_binary64`
60×	`associate-*r/_binary64`

Counts

4 → 236

Calls

4 calls:

21.0ms	(.f64 (.f64 (+.f64 x y) (*.f64 (cbrt.f64 (-.f64 1 z)) (cbrt.f64 (-.f64 1 z)))) (cbrt.f64 (-.f64 1 z)))
12.0ms	(.f64 (+.f64 x y) (.f64 (cbrt.f64 (-.f64 1 z)) (cbrt.f64 (-.f64 1 z))))
9.0ms	(*.f64 (cbrt.f64 (-.f64 1 z)) (cbrt.f64 (-.f64 1 z)))
4.0ms	(cbrt.f64 (-.f64 1 z))

simplify245.0ms (9.1%)

Algorithm

1×	egg-herbie

Rules

674×	`associate-l_binary64`
528×	`associate-r_binary64`
526×	`cancel-sign-sub-inv_binary64`
310×	`*-commutative_binary64`
275×	`fma-neg_binary64`

Counts

332 → 406

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	437	9739
1	1097	9148
2	3602	8838
3	4902	8838
4	4990	8838

prune392.0ms (14.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	492	0	492
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	492	3	495

Error

Counts

495 → 3

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (+.f64 y x) (neg.f64 (*.f64 z (+.f64 y x))))
✓	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))
✓	0.5b	(.f64 (.f64 (+.f64 x y) (*.f64 (cbrt.f64 (-.f64 1 z)) (cbrt.f64 (-.f64 1 z)))) (cbrt.f64 (-.f64 1 z)))

Compiler

Compiled 16433 to 10840 computations (34% saved)

regimes146.0ms (5.4%)

Accuracy

Total 0.0b remaining (64.4%)

Threshold costs 0.0b (64.4%)

Counts

27 → 1

Compiler

Compiled 2042 to 1412 computations (30.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`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	14	10
2	18	10
3	20	10
4	21	10
5	20	10

end6.0ms (0.2%)

Remove: (sort x y)
Compiler: Compiled 30 to 21 computations (30% saved)

sample560.0ms (20.9%)

Algorithm

1×

intervals

Results

240.0ms	7997×	body	128	valid
16.0ms	552×	body	128	invalid
0.0ms	2×	body	512	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 68 to 48 computations (29.4% saved)

Details

analyze600.0ms (22.3%)

sample23.0ms (0.9%)

simplify48.0ms (1.8%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series8.0ms (0.3%)

rewrite12.0ms (0.5%)

simplify87.0ms (3.2%)

prune66.0ms (2.4%)

localize5.0ms (0.2%)

series17.0ms (0.7%)

rewrite14.0ms (0.5%)

simplify92.0ms (3.4%)

prune54.0ms (2%)

localize9.0ms (0.3%)

series206.0ms (7.7%)

rewrite88.0ms (3.3%)

simplify245.0ms (9.1%)

prune392.0ms (14.6%)

regimes146.0ms (5.4%)

simplify2.0ms (0.1%)

end6.0ms (0.2%)

sample560.0ms (20.9%)

Profiling