Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 53 to 38 computations (28.3% saved)

sample1.2s (20.9%)

Symmetry

(sort a b c d e)

Results

1.2s

8256×

body

128

valid

Compiler

Compiled 120 to 85 computations (29.2% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

128×	`associate-+l+_binary64`
99×	`associate-+r+_binary64`
56×	`+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	20	13
2	56	13
3	143	13
4	188	13
5	186	13
6	186	13

prune2.0ms (0%)

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

0.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.4b	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)

Compiler

Compiled 42 to 27 computations (35.7% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (+.f64 e d) c)
✓	0.2b	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
✓	0.3b	(+.f64 (+.f64 (+.f64 e d) c) b)

series23.0ms (0.4%)

Counts

3 → 144

Calls

3 calls:

10.0ms	(+.f64 (+.f64 (+.f64 e d) c) b)
8.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
4.0ms	(+.f64 (+.f64 e d) c)

rewrite28.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`*-un-lft-identity_binary64`
31×	`add-log-exp_binary64`
29×	`distribute-lft-out_binary64`
19×	`sum-log_binary64`
15×	`fma-def_binary64`

Counts

3 → 72

Calls

3 calls:

9.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
7.0ms	(+.f64 (+.f64 (+.f64 e d) c) b)
5.0ms	(+.f64 (+.f64 e d) c)

simplify93.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

599×	`associate-+l+_binary64`
542×	`fma-neg_binary64`
494×	`associate--l+_binary64`
363×	`associate-+r+_binary64`
350×	`fma-def_binary64`

Counts

216 → 111

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	103	2097
1	284	2070
2	933	2052
3	2956	2052
4	4610	2052
5	4829	2052

prune79.0ms (1.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	108	3	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	3	112

Error

Counts

112 → 3

Alt Table

Status	Error	Program
	0.2b	(+.f64 (log.f64 (.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))) a)
▶	0.0b	(log.f64 (.f64 (.f64 (.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a)))
	0.3b	(+.f64 c (+.f64 e (+.f64 (+.f64 d b) a)))

Compiler

Compiled 1694 to 452 computations (73.3% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (exp.f64 e) (exp.f64 d))
✓	0.3b	(.f64 (.f64 (.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a))
✓	0.4b	(.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))
✓	0.4b	(.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c))

series114.0ms (1.9%)

Counts

4 → 168

Calls

4 calls:

56.0ms	(.f64 (.f64 (.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a))
34.0ms	(.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))
16.0ms	(.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c))
8.0ms	(*.f64 (exp.f64 e) (exp.f64 d))

rewrite47.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-cbrt-cube_binary64`
34×	`pow1_binary64`
23×	`*-un-lft-identity_binary64`
20×	`cbrt-unprod_binary64`
20×	`prod-exp_binary64`

Counts

4 → 93

Calls

4 calls:

13.0ms	(.f64 (.f64 (.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a))
10.0ms	(.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))
7.0ms	(.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c))
5.0ms	(*.f64 (exp.f64 e) (exp.f64 d))

simplify162.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

968×	`prod-exp_binary64`
493×	`*-commutative_binary64`
466×	`fma-def_binary64`
440×	`associate-+l+_binary64`
291×	`associate-+r+_binary64`

Counts

261 → 244

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	347	5120
1	1084	4130
2	2280	3920
3	3203	3914
4	4314	3914
5	5695	3914

prune134.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	244	3	247

Error

Counts

247 → 3

Alt Table

Status	Error	Program
▶	0.2b	(+.f64 (log.f64 (.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))) a)
✓	0.0b	(log.f64 (.f64 (.f64 (.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a)))
	0.3b	(+.f64 c (+.f64 e (+.f64 (+.f64 d b) a)))

Compiler

Compiled 5760 to 1660 computations (71.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (log.f64 (.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))) a)
	0.3b	(*.f64 (exp.f64 e) (exp.f64 d))
	0.4b	(.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))
	0.4b	(.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c))

series2.1s (35.9%)

Counts

1 → 60

Calls

1 calls:

2.1s	(+.f64 (log.f64 (.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))) a)

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`pow1_binary64`
12×	`*-un-lft-identity_binary64`
12×	`pow-prod-down_binary64`
9×	`log-pow_binary64`
8×	`fma-def_binary64`

Counts

1 → 27

Calls

1 calls:

11.0ms

(+.f64 (log.f64 (*.f64 (*.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))) a)

simplify69.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

901×	`fma-def_binary64`
541×	`sub-neg_binary64`
479×	`fma-neg_binary64`
447×	`cancel-sign-sub-inv_binary64`
360×	`associate--r+_binary64`

Counts

87 → 47

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	1479
1	168	1076
2	440	1067
3	1922	1067
4	3726	1067
5	5086	1067

prune128.0ms (2.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	215	3	218

Error

Counts

218 → 3

Alt Table

Status	Error	Program
✓	0.2b	(+.f64 (log.f64 (.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))) a)
✓	0.0b	(log.f64 (.f64 (.f64 (.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a)))
▶	0.3b	(+.f64 c (+.f64 e (+.f64 (+.f64 d b) a)))

Compiler

Compiled 4445 to 1302 computations (70.7% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 e (+.f64 (+.f64 d b) a))
✓	0.2b	(+.f64 c (+.f64 e (+.f64 (+.f64 d b) a)))
✓	0.3b	(+.f64 (+.f64 d b) a)

series21.0ms (0.4%)

Counts

3 → 144

Calls

3 calls:

9.0ms	(+.f64 e (+.f64 (+.f64 d b) a))
8.0ms	(+.f64 c (+.f64 e (+.f64 (+.f64 d b) a)))
4.0ms	(+.f64 (+.f64 d b) a)

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64`
31×	`add-log-exp_binary64`
20×	`distribute-lft-out_binary64`
19×	`sum-log_binary64`
10×	`fma-def_binary64`

Counts

3 → 67

Calls

3 calls:

8.0ms	(+.f64 c (+.f64 e (+.f64 (+.f64 d b) a)))
6.0ms	(+.f64 e (+.f64 (+.f64 d b) a))
5.0ms	(+.f64 (+.f64 d b) a)

simplify95.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

585×	`associate-+l+_binary64`
496×	`associate-+r+_binary64`
426×	`fma-neg_binary64`
412×	`fma-def_binary64`
378×	`sub-neg_binary64`

Counts

211 → 112

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	2085
1	286	2058
2	1134	2055
3	3773	2055
4	4931	2055
5	4822	2055

prune74.0ms (1.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	112	3	115

Error

Counts

115 → 3

Alt Table

Status	Error	Program
✓	0.2b	(+.f64 (log.f64 (.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))) a)
✓	0.0b	(log.f64 (.f64 (.f64 (.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a)))
✓	0.3b	(+.f64 c (+.f64 e (+.f64 (+.f64 d b) a)))

Compiler

Compiled 1626 to 417 computations (74.4% saved)

regimes1.3s (22.1%)

Accuracy

Total 0.0b remaining (75.8%)

Threshold costs 0.0b (75.8%)

Counts

141 → 1

Compiler

Compiled 23489 to 16069 computations (31.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	20	25
2	20	25

end82.0ms (1.4%)

Remove: (sort a b c d e)
Compiler: Compiled 133 to 98 computations (26.3% saved)

Details

analyze3.0ms (0.1%)

sample1.2s (20.9%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series23.0ms (0.4%)

rewrite28.0ms (0.5%)

simplify93.0ms (1.6%)

prune79.0ms (1.3%)

localize16.0ms (0.3%)

series114.0ms (1.9%)

rewrite47.0ms (0.8%)

simplify162.0ms (2.7%)

prune134.0ms (2.3%)

localize14.0ms (0.2%)

series2.1s (35.9%)

rewrite14.0ms (0.2%)

simplify69.0ms (1.2%)

prune128.0ms (2.2%)

localize7.0ms (0.1%)

series21.0ms (0.4%)

rewrite23.0ms (0.4%)

simplify95.0ms (1.6%)

prune74.0ms (1.3%)

regimes1.3s (22.1%)

simplify2.0ms (0%)

end82.0ms (1.4%)

Profiling