Details

analyze22.0ms (0.7%)

Algorithm

1×

Search

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

Compiler

Compiled 26 to 16 computations (38.5% saved)

sample47.0ms (1.5%)

Algorithm

1×

intervals

Results

10.0ms	256×	pre	128	true
8.0ms	256×	body	128	valid

Compiler

Compiled 45 to 30 computations (33.3% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 0

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

1 alts after pruning (1 fresh and 0 done)

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

Error

0.4b

Counts

1 → 1

Alt Table

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(+.f64 (+.f64 e d) c)
0.3b	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
0.3b	(+.f64 (+.f64 (+.f64 e d) c) b)

rewrite64.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`*-un-lft-identity_binary64`
31×	`add-log-exp_binary64`
19×	`distribute-lft-out_binary64`
19×	`sum-log_binary64`
3×	`+-commutative_binary64`

Counts

3 → 51

Calls

3 calls:

12.0ms	(+.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)

Compiler

Compiled 714 to 171 computations (76.1% saved)

series69.0ms (2.2%)

Error

0.2b

Counts

3 → 72

Calls

3 calls:

26.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
19.0ms	(+.f64 (+.f64 (+.f64 e d) c) b)
17.0ms	(+.f64 (+.f64 e d) c)

Compiler

Compiled 1484 to 929 computations (37.4% saved)

simplify83.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

669×	`associate--r+_binary64`
599×	`associate-+l+_binary64`
494×	`associate--l+_binary64`
363×	`associate-+r+_binary64`
256×	`sub-neg_binary64`

Counts

123 → 59

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	1275
1	269	1248
2	880	1230
3	2615	1230
4	4999	1230
5	4795	1230

prune34.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	49	10	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	10	60

Error

Counts

60 → 10

Alt Table

Status	Error	Program
	0.7b	(+.f64 (exp.f64 (log.f64 (+.f64 c (+.f64 d (+.f64 b e))))) a)
	0.5b	(+.f64 (+.f64 (/.f64 (-.f64 (.f64 (+.f64 d e) (+.f64 d e)) (.f64 c c)) (-.f64 (+.f64 d e) c)) b) a)
	0.4b	(+.f64 (+.f64 (+.f64 e (+.f64 c d)) b) a)
	0.7b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 c (+.f64 d (+.f64 b e))) 3)) a)
	0.4b	(+.f64 (log.f64 (exp.f64 (+.f64 c (+.f64 d (+.f64 b e))))) a)
▶	0.3b	(+.f64 c (+.f64 e (+.f64 (+.f64 d b) a)))
	1.1b	(+.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (+.f64 c (+.f64 d e))) (cbrt.f64 (+.f64 c (+.f64 d e)))) (cbrt.f64 (+.f64 c (+.f64 d e)))) b) a)
	0.6b	(*.f64 (sqrt.f64 (+.f64 c (+.f64 e (+.f64 (+.f64 d b) a)))) (sqrt.f64 (+.f64 c (+.f64 e (+.f64 (+.f64 d b) a)))))
	0.6b	(cbrt.f64 (pow.f64 (+.f64 c (+.f64 e (+.f64 (+.f64 d b) a))) 3))
	0.8b	(exp.f64 (log.f64 (+.f64 c (+.f64 e (+.f64 (+.f64 d b) a)))))

Compiler

Compiled 877 to 350 computations (60.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(+.f64 e (+.f64 (+.f64 d b) a))
0.2b	(+.f64 (+.f64 d b) a)
0.3b	(+.f64 c (+.f64 e (+.f64 (+.f64 d b) a)))

rewrite51.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`*-un-lft-identity_binary64`
31×	`add-log-exp_binary64`
19×	`distribute-lft-out_binary64`
19×	`sum-log_binary64`
3×	`+-commutative_binary64`

Counts

3 → 51

Calls

3 calls:

7.0ms	(+.f64 c (+.f64 e (+.f64 (+.f64 d b) a)))
6.0ms	(+.f64 e (+.f64 (+.f64 d b) a))
4.0ms	(+.f64 (+.f64 d b) a)

Compiler

Compiled 714 to 171 computations (76.1% saved)

series65.0ms (2%)

Error

Counts

3 → 72

Calls

3 calls:

28.0ms	(+.f64 c (+.f64 e (+.f64 (+.f64 d b) a)))
18.0ms	(+.f64 e (+.f64 (+.f64 d b) a))
13.0ms	(+.f64 (+.f64 d b) a)

Compiler

Compiled 1447 to 922 computations (36.3% saved)

simplify135.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

585×	`associate-+l+_binary64`
496×	`associate-+r+_binary64`
425×	`sub-neg_binary64`
395×	`unsub-neg_binary64`
325×	`distribute-neg-in_binary64`

Counts

123 → 57

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	1263
1	271	1236
2	1077	1233
3	3366	1233
4	4323	1233
5	4962	1233
6	4964	1233
7	4781	1233

prune30.0ms (0.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	61	6	67

Error

Counts

67 → 6

Alt Table

Status	Error	Program
	0.4b	(+.f64 c (+.f64 e (exp.f64 (log.f64 (+.f64 a (+.f64 d b))))))
	0.5b	(+.f64 (+.f64 (/.f64 (-.f64 (.f64 (+.f64 d e) (+.f64 d e)) (.f64 c c)) (-.f64 (+.f64 d e) c)) b) a)
	0.4b	(+.f64 (+.f64 (+.f64 e (+.f64 c d)) b) a)
	0.7b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 c (+.f64 d (+.f64 b e))) 3)) a)
▶	0.2b	(+.f64 (+.f64 e c) (+.f64 (+.f64 d b) a))
	0.6b	(cbrt.f64 (pow.f64 (+.f64 c (+.f64 e (+.f64 (+.f64 d b) a))) 3))

Compiler

Compiled 679 to 255 computations (62.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(+.f64 (+.f64 d b) a)
0.3b	(+.f64 (+.f64 e c) (+.f64 (+.f64 d b) a))

rewrite44.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`*-un-lft-identity_binary64`
28×	`add-log-exp_binary64`
18×	`distribute-lft-out_binary64`
18×	`sum-log_binary64`
6×	`flip-+_binary64`

Counts

2 → 43

Calls

2 calls:

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

Compiler

Compiled 746 to 161 computations (78.4% saved)

series44.0ms (1.4%)

Error

Counts

2 → 48

Calls

2 calls:

27.0ms	(+.f64 (+.f64 e c) (+.f64 (+.f64 d b) a))
13.0ms	(+.f64 (+.f64 d b) a)

Compiler

Compiled 987 to 616 computations (37.6% saved)

simplify136.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

621×	`associate-+l+_binary64`
512×	`associate-+r+_binary64`
351×	`sub-neg_binary64`
348×	`associate-r_binary64`
348×	`associate-l_binary64`

Counts

91 → 36

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	1251
1	327	1224
2	1357	1179
3	4122	1179
4	4792	1179
5	4873	1179
6	4995	1179
7	4999	1179
8	4709	1179

prune24.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	36	6	42

Error

Counts

42 → 6

Alt Table

Status	Error	Program
	0.4b	(+.f64 c (+.f64 e (exp.f64 (log.f64 (+.f64 a (+.f64 d b))))))
	0.5b	(+.f64 (+.f64 (/.f64 (-.f64 (.f64 (+.f64 d e) (+.f64 d e)) (.f64 c c)) (-.f64 (+.f64 d e) c)) b) a)
▶	0.4b	(+.f64 (+.f64 (+.f64 e (+.f64 c d)) b) a)
	0.7b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 c (+.f64 d (+.f64 b e))) 3)) a)
✓	0.2b	(+.f64 (+.f64 e c) (+.f64 (+.f64 d b) a))
	0.6b	(cbrt.f64 (pow.f64 (+.f64 c (+.f64 e (+.f64 (+.f64 d b) a))) 3))

Compiler

Compiled 691 to 245 computations (64.5% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(+.f64 e (+.f64 c d))
0.3b	(+.f64 (+.f64 (+.f64 e (+.f64 c d)) b) a)
0.3b	(+.f64 (+.f64 e (+.f64 c d)) b)

rewrite52.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`*-un-lft-identity_binary64`
31×	`add-log-exp_binary64`
19×	`distribute-lft-out_binary64`
19×	`sum-log_binary64`
3×	`+-commutative_binary64`

Counts

3 → 51

Calls

3 calls:

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

Compiler

Compiled 714 to 171 computations (76.1% saved)

series62.0ms (2%)

Error

Counts

3 → 72

Calls

3 calls:

24.0ms	(+.f64 (+.f64 (+.f64 e (+.f64 c d)) b) a)
19.0ms	(+.f64 (+.f64 e (+.f64 c d)) b)
13.0ms	(+.f64 e (+.f64 c d))

Compiler

Compiled 1484 to 929 computations (37.4% saved)

simplify83.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

633×	`associate--l+_binary64`
622×	`associate-+l+_binary64`
403×	`associate-+r+_binary64`
283×	`sub-neg_binary64`
282×	`unsub-neg_binary64`

Counts

123 → 59

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	1275
1	276	1248
2	942	1233
3	2850	1233
4	4676	1233
5	4849	1233

prune17.0ms (0.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	59	6	65

Error

Counts

65 → 6

Alt Table

Status	Error	Program
	0.4b	(+.f64 c (+.f64 e (exp.f64 (log.f64 (+.f64 a (+.f64 d b))))))
	0.5b	(+.f64 (+.f64 (/.f64 (-.f64 (.f64 (+.f64 d e) (+.f64 d e)) (.f64 c c)) (-.f64 (+.f64 d e) c)) b) a)
	0.4b	(+.f64 (+.f64 (+.f64 e (+.f64 c d)) b) a)
	0.7b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 c (+.f64 d (+.f64 b e))) 3)) a)
	0.2b	(+.f64 (+.f64 e c) (+.f64 (+.f64 d b) a))
	0.6b	(cbrt.f64 (pow.f64 (+.f64 c (+.f64 e (+.f64 (+.f64 d b) a))) 3))

Compiler

Compiled 587 to 193 computations (67.1% saved)

regimes1.1s (34.6%)

Accuracy

Total -0.0b remaining (-3.4%)

Threshold costs -0.0b (-3.4%)

Compiler

Compiled 21074 to 13054 computations (38.1% saved)

simplify3.0ms (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

end15.0ms (0.5%)

Remove: (sort a b c d e)
Compiler: Compiled 60 to 45 computations (25% saved)

sample957.0ms (30.2%)

Algorithm

1×

intervals

Results

342.0ms	8000×	pre	128	true
247.0ms	8000×	body	128	valid

Compiler

Compiled 155 to 102 computations (34.2% saved)

Details

analyze22.0ms (0.7%)

sample47.0ms (1.5%)

simplify11.0ms (0.3%)

prune1.0ms (0%)

localize7.0ms (0.2%)

rewrite64.0ms (2%)

series69.0ms (2.2%)

simplify83.0ms (2.6%)

prune34.0ms (1.1%)

localize6.0ms (0.2%)

rewrite51.0ms (1.6%)

series65.0ms (2%)

simplify135.0ms (4.3%)

prune30.0ms (0.9%)

localize6.0ms (0.2%)

rewrite44.0ms (1.4%)

series44.0ms (1.4%)

simplify136.0ms (4.3%)

prune24.0ms (0.8%)

localize6.0ms (0.2%)

rewrite52.0ms (1.6%)

series62.0ms (2%)

simplify83.0ms (2.6%)

prune17.0ms (0.5%)

regimes1.1s (34.6%)

simplify3.0ms (0.1%)

end15.0ms (0.5%)

sample957.0ms (30.2%)

Profiling