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)

sample1.3s (38.2%)

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 (0.2%)

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

prune1.0ms (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)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series18.0ms (0.6%)

Counts

3 → 144

Calls

3 calls:

8.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
6.0ms	(+.f64 (+.f64 (+.f64 e d) c) b)
4.0ms	(+.f64 (+.f64 e d) c)

rewrite26.0ms (0.8%)

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)
7.0ms	(+.f64 (+.f64 e d) c)

simplify88.0ms (2.7%)

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

prune87.0ms (2.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	2	112

Error

Counts

112 → 2

Alt Table

Status	Error	Program
	0.7b	(+.f64 (exp.f64 (log.f64 (+.f64 c (+.f64 d (+.f64 b e))))) a)
▶	0.0b	(log.f64 (.f64 (.f64 (.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a)))

Compiler

Compiled 1660 to 428 computations (74.2% saved)

localize17.0ms (0.5%)

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))
✓	0.3b	(.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c))
✓	0.4b	(.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))

series114.0ms (3.5%)

Counts

4 → 168

Calls

4 calls:

57.0ms	(.f64 (.f64 (.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a))
32.0ms	(.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))
18.0ms	(.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c))
6.0ms	(*.f64 (exp.f64 e) (exp.f64 d))

rewrite43.0ms (1.3%)

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))
12.0ms	(.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))

simplify164.0ms (5%)

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	1082	4130
2	2280	3920
3	3203	3914
4	4314	3914
5	5695	3914

prune125.0ms (3.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	243	1	244
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	244	2	246

Error

Counts

246 → 2

Alt Table

Status	Error	Program
✓	0.0b	(log.f64 (.f64 (.f64 (.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a)))
▶	0.1b	(log.f64 (.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 (+.f64 b c))) (exp.f64 a)))

Compiler

Compiled 5726 to 1643 computations (71.3% saved)

localize14.0ms (0.4%)

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 (exp.f64 e) (exp.f64 d)) (exp.f64 (+.f64 b c))) (exp.f64 a))
✓	0.3b	(.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 (+.f64 b c)))
✓	1.4b	(exp.f64 (+.f64 b c))

series79.0ms (2.4%)

Counts

3 → 132

Calls

3 calls:

46.0ms	(.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 (+.f64 b c))) (exp.f64 a))
25.0ms	(.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 (+.f64 b c)))
7.0ms	(exp.f64 (+.f64 b c))

rewrite29.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64`
18×	`exp-prod_binary64`
17×	`add-cbrt-cube_binary64`
17×	`pow1_binary64`
10×	`pow-prod-up_binary64`

Counts

3 → 64

Calls

3 calls:

13.0ms	(.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 (+.f64 b c))) (exp.f64 a))
9.0ms	(.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 (+.f64 b c)))
3.0ms	(exp.f64 (+.f64 b c))

simplify92.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

591×	`associate-r_binary64`
569×	`distribute-rgt-out_binary64`
543×	`associate-l_binary64`
364×	`prod-exp_binary64`
307×	`fma-def_binary64`

Counts

196 → 179

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	259	3860
1	802	3098
2	3005	2912
3	4987	2912

prune129.0ms (3.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	223	2	225

Error

Counts

225 → 2

Alt Table

Status	Error	Program
✓	0.0b	(log.f64 (.f64 (.f64 (.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a)))
✓	0.1b	(log.f64 (.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 (+.f64 b c))) (exp.f64 a)))

Compiler

Compiled 4900 to 1376 computations (71.9% saved)

regimes912.0ms (27.7%)

Accuracy

Total 0.0b remaining (42.1%)

Threshold costs 0.0b (42.1%)

Counts

96 → 1

Compiler

Compiled 16922 to 11574 computations (31.6% saved)

simplify2.0ms (0.1%)

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

end72.0ms (2.2%)

Remove: (sort a b c d e)
Compiler: Compiled 119 to 89 computations (25.2% saved)

Details

analyze3.0ms (0.1%)

sample1.3s (38.2%)

simplify8.0ms (0.2%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series18.0ms (0.6%)

rewrite26.0ms (0.8%)

simplify88.0ms (2.7%)

prune87.0ms (2.6%)

localize17.0ms (0.5%)

series114.0ms (3.5%)

rewrite43.0ms (1.3%)

simplify164.0ms (5%)

prune125.0ms (3.8%)

localize14.0ms (0.4%)

series79.0ms (2.4%)

rewrite29.0ms (0.9%)

simplify92.0ms (2.8%)

prune129.0ms (3.9%)

regimes912.0ms (27.7%)

simplify2.0ms (0.1%)

end72.0ms (2.2%)

Profiling