Details

analyze99.0ms (2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	143
1	186	143
0	5	5
1	5	5

Search

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

Symmetry

sort(a b c d e)

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample52.0ms (1%)

Algorithm

1×

intervals

Results

16.0ms	256×	pre	128	true
7.0ms	256×	body	128	valid

Compiler

Compiled 30 to 30 computations (0% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	186	13
1	186	13

prune3.0ms (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

Compiler

Compiled 18 to 18 computations (0% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite93.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-log-exp_binary64_2504` `*-un-lft-identity_binary64_2465`
19×	`sum-log_binary64_2556` `distribute-lft-out_binary64_2416`
3×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-+l+_binary64_2398` `+-commutative_binary64_2395`

Counts

3 → 51

Calls

3 calls:

18.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
9.0ms	(+.f64 (+.f64 (+.f64 e d) c) b)
6.0ms	(+.f64 (+.f64 e d) c)

Compiler

Compiled 808 to 196 computations (75.7% saved)

series299.0ms (5.9%)

Error

0.0b

Counts

3 → 72

Calls

3 calls:

119.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
93.0ms	(+.f64 (+.f64 (+.f64 e d) c) b)
55.0ms	(+.f64 (+.f64 e d) c)

Compiler

Compiled 1268 to 939 computations (25.9% saved)

simplify55.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4853	1230
1	4853	1230

prune77.0ms (1.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	115	8	123
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	115	9	124

Error

Counts

124 → 9

Compiler

Compiled 1332 to 288 computations (78.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite71.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-log-exp_binary64_2504` `*-un-lft-identity_binary64_2465`
19×	`sum-log_binary64_2556` `distribute-lft-out_binary64_2416`
3×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `flip3-+_binary64_2468` `flip-+_binary64_2439` `+-commutative_binary64_2395`
2×	`associate-+r+_binary64_2397`
1×	`associate-+l+_binary64_2398`

Counts

3 → 51

Calls

3 calls:

11.0ms	(+.f64 d (+.f64 e (+.f64 (+.f64 c b) a)))
9.0ms	(+.f64 e (+.f64 (+.f64 c b) a))
6.0ms	(+.f64 (+.f64 c b) a)

Compiler

Compiled 808 to 196 computations (75.7% saved)

series319.0ms (6.3%)

Error

Counts

3 → 72

Calls

3 calls:

133.0ms	(+.f64 d (+.f64 e (+.f64 (+.f64 c b) a)))
96.0ms	(+.f64 e (+.f64 (+.f64 c b) a))
61.0ms	(+.f64 (+.f64 c b) a)

Compiler

Compiled 1268 to 923 computations (27.2% saved)

simplify59.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4814	1233
1	4814	1233

prune65.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	120	3	123
Fresh	4	3	7
Picked	1	0	1
Done	0	1	1
Total	125	7	132

Error

Counts

132 → 7

Compiler

Compiled 1293 to 255 computations (80.3% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite55.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-log-exp_binary64_2504` `*-un-lft-identity_binary64_2465`
18×	`sum-log_binary64_2556` `distribute-lft-out_binary64_2416`
6×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
4×	`frac-add_binary64_2473`
2×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `associate-+l+_binary64_2398` `+-commutative_binary64_2395`
1×	`associate-+r+_binary64_2397`

Counts

2 → 43

Calls

2 calls:

12.0ms	(+.f64 (+.f64 e d) (+.f64 (+.f64 c b) a))
6.0ms	(+.f64 (+.f64 c b) a)

Compiler

Compiled 829 to 179 computations (78.4% saved)

series206.0ms (4.1%)

Error

Counts

2 → 48

Calls

2 calls:

131.0ms	(+.f64 (+.f64 e d) (+.f64 (+.f64 c b) a))
56.0ms	(+.f64 (+.f64 c b) a)

Compiler

Compiled 840 to 623 computations (25.8% saved)

simplify35.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5310	1179

prune49.0ms (1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	91	7	98

Error

Counts

98 → 7

Compiler

Compiled 1124 to 224 computations (80.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(+.f64 e (+.f64 b c))
0.2b	(+.f64 d (+.f64 (+.f64 e (+.f64 b c)) a))
0.2b	(+.f64 (+.f64 e (+.f64 b c)) a)

rewrite69.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-log-exp_binary64_2504` `*-un-lft-identity_binary64_2465`
19×	`sum-log_binary64_2556` `distribute-lft-out_binary64_2416`
3×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `flip3-+_binary64_2468` `flip-+_binary64_2439` `+-commutative_binary64_2395`
2×	`associate-+r+_binary64_2397`
1×	`associate-+l+_binary64_2398`

Counts

3 → 51

Calls

3 calls:

11.0ms	(+.f64 d (+.f64 (+.f64 e (+.f64 b c)) a))
8.0ms	(+.f64 (+.f64 e (+.f64 b c)) a)
6.0ms	(+.f64 e (+.f64 b c))

Compiler

Compiled 808 to 196 computations (75.7% saved)

series309.0ms (6.1%)

Error

Counts

3 → 72

Calls

3 calls:

125.0ms	(+.f64 d (+.f64 (+.f64 e (+.f64 b c)) a))
94.0ms	(+.f64 (+.f64 e (+.f64 b c)) a)
61.0ms	(+.f64 e (+.f64 b c))

Compiler

Compiled 1268 to 932 computations (26.5% saved)

simplify50.0ms (1%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4665	1239
1	4665	1239

prune60.0ms (1.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	123	7	130

Error

Counts

130 → 7

Compiler

Compiled 1201 to 196 computations (83.7% saved)

regimes1.0s (20.3%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Compiler

Compiled 10172 to 8279 computations (18.6% saved)

bsearch0.0ms (0%)

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	25
1	20	25

Removed

((sort a b c d e))

Compiler

Compiled 30 to 30 computations (0% saved)

end0.0ms (0%)

sample2.0s (38.6%)

Algorithm

1×

intervals

Results

357.0ms	8000×	pre	128	true
229.0ms	8000×	body	128	valid

Compiler

Compiled 1082 to 887 computations (18% saved)

Details

analyze99.0ms (2%)

sample52.0ms (1%)

simplify9.0ms (0.2%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite93.0ms (1.8%)

series299.0ms (5.9%)

simplify55.0ms (1.1%)

prune77.0ms (1.5%)

localize7.0ms (0.1%)

rewrite71.0ms (1.4%)

series319.0ms (6.3%)

simplify59.0ms (1.2%)

prune65.0ms (1.3%)

localize9.0ms (0.2%)

rewrite55.0ms (1.1%)

series206.0ms (4.1%)

simplify35.0ms (0.7%)

prune49.0ms (1%)

localize7.0ms (0.1%)

rewrite69.0ms (1.4%)

series309.0ms (6.1%)

simplify50.0ms (1%)

prune60.0ms (1.2%)

regimes1.0s (20.3%)

bsearch0.0ms (0%)

simplify17.0ms (0.3%)

end0.0ms (0%)

sample2.0s (38.6%)

Profiling