Details

analyze4.0ms (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)

sample1.5s (27.4%)

Symmetry

(sort a b c d e)

Results

1.4s

8256×

body

128

valid

Compiler

Compiled 120 to 85 computations (29.2% saved)

simplify46.0ms (0.8%)

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)

localize6.0ms (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)
✓	0.2b	(+.f64 (+.f64 (+.f64 e d) c) b)

series19.0ms (0.3%)

Counts

3 → 144

Calls

3 calls:

9.0ms	(+.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)

rewrite25.0ms (0.4%)

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:

10.0ms	(+.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)

simplify89.0ms (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

prune88.0ms (1.6%)

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
▶	0.0b	(log.f64 (.f64 (.f64 (.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a)))
	0.2b	(+.f64 (log.f64 (.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))) a)
	0.4b	(+.f64 (+.f64 (+.f64 e (+.f64 d c)) b) a)

Compiler

Compiled 1694 to 452 computations (73.3% saved)

localize18.0ms (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 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))
✓	0.4b	(.f64 (.f64 (.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a))
✓	0.4b	(.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c))

series123.0ms (2.2%)

Counts

4 → 168

Calls

4 calls:

67.0ms	(.f64 (.f64 (.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a))
33.0ms	(.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))
6.0ms	(*.f64 (exp.f64 e) (exp.f64 d))

rewrite43.0ms (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:

16.0ms	(.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))

simplify157.0ms (2.8%)

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

prune136.0ms (2.4%)

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
✓	0.0b	(log.f64 (.f64 (.f64 (.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a)))
▶	0.2b	(+.f64 (log.f64 (.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))) a)
	0.4b	(+.f64 (+.f64 (+.f64 e (+.f64 d c)) b) a)

Compiler

Compiled 5754 to 1660 computations (71.2% saved)

localize13.0ms (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))
	0.3b	(.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))

series1.7s (29.4%)

Counts

1 → 60

Calls

1 calls:

1.7s	(+.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)

simplify66.0ms (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

prune125.0ms (2.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	213	3	216

Error

Counts

216 → 3

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)))
✓	0.2b	(+.f64 (log.f64 (.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))) a)
▶	0.4b	(+.f64 (+.f64 (+.f64 e (+.f64 d c)) b) a)

Compiler

Compiled 4420 to 1299 computations (70.6% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series19.0ms (0.3%)

Counts

3 → 144

Calls

3 calls:

9.0ms	(+.f64 (+.f64 (+.f64 e (+.f64 d c)) b) a)
6.0ms	(+.f64 (+.f64 e (+.f64 d c)) b)
4.0ms	(+.f64 e (+.f64 d c))

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64`
31×	`add-log-exp_binary64`
28×	`distribute-lft-out_binary64`
19×	`sum-log_binary64`
14×	`fma-def_binary64`

Counts

3 → 71

Calls

3 calls:

10.0ms	(+.f64 (+.f64 (+.f64 e (+.f64 d c)) b) a)
7.0ms	(+.f64 (+.f64 e (+.f64 d c)) b)
4.0ms	(+.f64 e (+.f64 d c))

simplify97.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

631×	`fma-neg_binary64`
563×	`associate-+l+_binary64`
551×	`associate--l+_binary64`
364×	`associate-+r+_binary64`
349×	`fma-def_binary64`

Counts

215 → 112

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	103	2097
1	291	2070
2	950	2055
3	3013	2055
4	4771	2055
5	5074	2055

prune59.0ms (1%)

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
✓	0.0b	(log.f64 (.f64 (.f64 (.f64 (.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a)))
✓	0.2b	(+.f64 (log.f64 (.f64 (.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))) a)
✓	0.4b	(+.f64 (+.f64 (+.f64 e (+.f64 d c)) b) a)

Compiler

Compiled 1644 to 417 computations (74.6% saved)

regimes1.2s (20.9%)

Accuracy

Total 0.0b remaining (71.6%)

Threshold costs 0.0b (71.6%)

Counts

121 → 1

Compiler

Compiled 20578 to 14027 computations (31.8% 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

end79.0ms (1.4%)

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

Details

analyze4.0ms (0.1%)

sample1.5s (27.4%)

simplify46.0ms (0.8%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series19.0ms (0.3%)

rewrite25.0ms (0.4%)

simplify89.0ms (1.6%)

prune88.0ms (1.6%)

localize18.0ms (0.3%)

series123.0ms (2.2%)

rewrite43.0ms (0.8%)

simplify157.0ms (2.8%)

prune136.0ms (2.4%)

localize13.0ms (0.2%)

series1.7s (29.4%)

rewrite14.0ms (0.2%)

simplify66.0ms (1.2%)

prune125.0ms (2.2%)

localize6.0ms (0.1%)

series19.0ms (0.3%)

rewrite24.0ms (0.4%)

simplify97.0ms (1.7%)

prune59.0ms (1%)

regimes1.2s (20.9%)

simplify2.0ms (0%)

end79.0ms (1.4%)

Profiling