Details

analyze94.0ms (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)

sample49.0ms (1.1%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
11.0ms	256×	pre	128	true

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

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

0.5b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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)

rewrite86.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-log-exp_binary64_3186` `*-un-lft-identity_binary64_3147`
19×	`sum-log_binary64_3238` `distribute-lft-out_binary64_3098`
3×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `flip3-+_binary64_3150` `flip-+_binary64_3121` `associate-+l+_binary64_3080` `+-commutative_binary64_3077`

Counts

3 → 51

Calls

3 calls:

13.0ms	(+.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)

series314.0ms (6.7%)

Error

0.0b

Counts

3 → 72

Calls

3 calls:

121.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
95.0ms	(+.f64 (+.f64 (+.f64 e d) c) b)
64.0ms	(+.f64 (+.f64 e d) c)

Compiler

Compiled 1268 to 939 computations (25.9% saved)

simplify54.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4853	1230
1	4853	1230

prune82.0ms (1.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	114	9	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	115	9	124

Error

Counts

124 → 9

Compiler

Compiled 1347 to 302 computations (77.6% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite73.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-log-exp_binary64_3186` `*-un-lft-identity_binary64_3147`
19×	`sum-log_binary64_3238` `distribute-lft-out_binary64_3098`
3×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `flip3-+_binary64_3150` `flip-+_binary64_3121` `+-commutative_binary64_3077`
2×	`associate-+r+_binary64_3079`
1×	`associate-+l+_binary64_3080`

Counts

3 → 51

Calls

3 calls:

11.0ms	(+.f64 d (+.f64 e (+.f64 (+.f64 b c) a)))
9.0ms	(+.f64 (+.f64 b c) a)
8.0ms	(+.f64 e (+.f64 (+.f64 b c) a))

Compiler

Compiled 808 to 196 computations (75.7% saved)

series308.0ms (6.6%)

Error

Counts

3 → 72

Calls

3 calls:

120.0ms	(+.f64 d (+.f64 e (+.f64 (+.f64 b c) a)))
96.0ms	(+.f64 e (+.f64 (+.f64 b c) a))
61.0ms	(+.f64 (+.f64 b c) a)

Compiler

Compiled 1268 to 923 computations (27.2% saved)

simplify60.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4711	1233
1	4711	1233

prune70.0ms (1.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	125	7	132

Error

Counts

132 → 7

Compiler

Compiled 1322 to 266 computations (79.9% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite63.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`add-log-exp_binary64_3186` `*-un-lft-identity_binary64_3147`
21×	`sum-log_binary64_3238` `distribute-lft-out_binary64_3098`
6×	`flip3-+_binary64_3150` `flip-+_binary64_3121`
4×	`frac-add_binary64_3155`
2×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `associate-+l+_binary64_3080` `+-commutative_binary64_3077`
1×	`associate-+r+_binary64_3079`

Counts

2 → 45

Calls

2 calls:

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

Compiler

Compiled 838 to 199 computations (76.3% saved)

series239.0ms (5.1%)

Error

Counts

2 → 54

Calls

2 calls:

130.0ms	(+.f64 (+.f64 (+.f64 e d) (+.f64 b c)) a)
89.0ms	(+.f64 (+.f64 e d) (+.f64 b c))

Compiler

Compiled 923 to 696 computations (24.6% saved)

simplify66.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4965	1273
1	4965	1273

prune56.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	99	7	106

Error

Counts

106 → 7

Compiler

Compiled 1193 to 260 computations (78.2% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite55.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-log-exp_binary64_3186` `*-un-lft-identity_binary64_3147`
18×	`sum-log_binary64_3238` `distribute-lft-out_binary64_3098`
6×	`flip3-+_binary64_3150` `flip-+_binary64_3121`
4×	`frac-add_binary64_3155`
2×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `associate-+l+_binary64_3080` `+-commutative_binary64_3077`
1×	`associate-+r+_binary64_3079`

Counts

2 → 43

Calls

2 calls:

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

Compiler

Compiled 829 to 179 computations (78.4% saved)

series205.0ms (4.4%)

Error

Counts

2 → 48

Calls

2 calls:

133.0ms	(+.f64 (+.f64 (+.f64 e d) c) (+.f64 b a))
53.0ms	(+.f64 (+.f64 e d) c)

Compiler

Compiled 840 to 626 computations (25.5% saved)

simplify35.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5060	1176

prune47.0ms (1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	91	7	98

Error

Counts

98 → 7

Compiler

Compiled 1041 to 168 computations (83.9% saved)

regimes921.0ms (19.8%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Compiler

Compiled 8682 to 6973 computations (19.7% saved)

bsearch0.0ms (0%)

simplify20.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	25
1	20	25

Remove

(sort a b c d e)

Compiler

Compiled 30 to 30 computations (0% saved)

end0.0ms (0%)

sample1.7s (36.8%)

Algorithm

1×

intervals

Results

343.0ms	8000×	pre	128	true
208.0ms	8000×	body	128	valid

Compiler

Compiled 910 to 739 computations (18.8% saved)

Details

analyze94.0ms (2%)

sample49.0ms (1.1%)

simplify9.0ms (0.2%)

prune2.0ms (0%)

localize7.0ms (0.2%)

rewrite86.0ms (1.8%)

series314.0ms (6.7%)

simplify54.0ms (1.2%)

prune82.0ms (1.8%)

localize7.0ms (0.1%)

rewrite73.0ms (1.6%)

series308.0ms (6.6%)

simplify60.0ms (1.3%)

prune70.0ms (1.5%)

localize7.0ms (0.2%)

rewrite63.0ms (1.3%)

series239.0ms (5.1%)

simplify66.0ms (1.4%)

prune56.0ms (1.2%)

localize9.0ms (0.2%)

rewrite55.0ms (1.2%)

series205.0ms (4.4%)

simplify35.0ms (0.8%)

prune47.0ms (1%)

regimes921.0ms (19.8%)

bsearch0.0ms (0%)

simplify20.0ms (0.4%)

end0.0ms (0%)

sample1.7s (36.8%)

Profiling