Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample27.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms	256×	pre	128	true
6.0ms	256×	body	128	valid

Compiler

Compiled 30 to 30 computations (0% saved)

simplify104.0ms (2.1%)

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

0.4b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

rewrite31.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-log-exp_binary64_776` `*-un-lft-identity_binary64_737`
19×	`sum-log_binary64_828` `distribute-lft-out_binary64_688`
3×	`add-cbrt-cube_binary64_773` `flip3-+_binary64_740` `add-exp-log_binary64_775` `add-cube-cbrt_binary64_772` `pow1_binary64_798` `add-sqr-sqrt_binary64_759` `flip-+_binary64_711` `+-commutative_binary64_667` `associate-+l+_binary64_670`

Counts

3 → 51

Calls

6 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)
0.0ms	(+.f64 (+.f64 e d) c)
0.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)

series282.0ms (5.8%)

Counts

3 → 72

Calls

3 calls:

127.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
97.0ms	(+.f64 (+.f64 (+.f64 e d) c) b)
58.0ms	(+.f64 (+.f64 e d) c)

Compiler

Compiled 796 to 884 computations (-11.1% 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

prune103.0ms (2.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	115	8	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	8	124

Error

0.0b

Counts

124 → 8

Compiler

Compiled 1302 to 279 computations (78.6% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-log-exp_binary64_776` `*-un-lft-identity_binary64_737`
21×	`sum-log_binary64_828` `distribute-lft-out_binary64_688`
6×	`flip3-+_binary64_740` `flip-+_binary64_711`
4×	`frac-add_binary64_745`
2×	`add-cbrt-cube_binary64_773` `add-exp-log_binary64_775` `add-cube-cbrt_binary64_772` `pow1_binary64_798` `add-sqr-sqrt_binary64_759` `+-commutative_binary64_667` `associate-+l+_binary64_670`
1×	`associate-+r+_binary64_669`

Counts

2 → 45

Calls

4 calls:

12.0ms	(+.f64 (+.f64 (+.f64 e d) (+.f64 c b)) a)
8.0ms	(+.f64 (+.f64 e d) (+.f64 c b))
0.0ms	(+.f64 (+.f64 e d) (+.f64 c b))
0.0ms	(+.f64 (+.f64 (+.f64 e d) (+.f64 c b)) a)

series225.0ms (4.6%)

Counts

2 → 54

Calls

2 calls:

132.0ms	(+.f64 (+.f64 (+.f64 e d) (+.f64 c b)) a)
93.0ms	(+.f64 (+.f64 e d) (+.f64 c b))

Compiler

Compiled 583 to 656 computations (-12.5% saved)

simplify65.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4969	1273
1	4969	1273

prune66.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	99	8	107

Error

Counts

107 → 8

Compiler

Compiled 1170 to 254 computations (78.3% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-log-exp_binary64_776` `*-un-lft-identity_binary64_737`
18×	`sum-log_binary64_828` `distribute-lft-out_binary64_688`
6×	`flip3-+_binary64_740` `flip-+_binary64_711`
4×	`frac-add_binary64_745`
2×	`add-cbrt-cube_binary64_773` `associate-+r+_binary64_669` `add-exp-log_binary64_775` `add-cube-cbrt_binary64_772` `pow1_binary64_798` `add-sqr-sqrt_binary64_759` `+-commutative_binary64_667`
1×	`associate-+l+_binary64_670`

Counts

2 → 43

Calls

4 calls:

11.0ms	(+.f64 (+.f64 e d) (+.f64 a (+.f64 c b)))
5.0ms	(+.f64 a (+.f64 c b))
0.0ms	(+.f64 a (+.f64 c b))
0.0ms	(+.f64 (+.f64 e d) (+.f64 a (+.f64 c b)))

series188.0ms (3.8%)

Counts

2 → 48

Calls

2 calls:

127.0ms	(+.f64 (+.f64 e d) (+.f64 a (+.f64 c b)))
61.0ms	(+.f64 a (+.f64 c b))

Compiler

Compiled 528 to 588 computations (-11.4% saved)

simplify65.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5031	1176

prune60.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	2	4	6
Picked	0	1	1
Done	1	0	1
Total	92	7	99

Error

Counts

99 → 7

Compiler

Compiled 1118 to 224 computations (80% saved)

localize8.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-log-exp_binary64_776` `*-un-lft-identity_binary64_737`
19×	`sum-log_binary64_828` `distribute-lft-out_binary64_688`
3×	`add-cbrt-cube_binary64_773` `flip3-+_binary64_740` `associate-+r+_binary64_669` `add-exp-log_binary64_775` `add-cube-cbrt_binary64_772` `pow1_binary64_798` `add-sqr-sqrt_binary64_759` `flip-+_binary64_711` `+-commutative_binary64_667`

Counts

3 → 51

Calls

6 calls:

10.0ms	(+.f64 e (+.f64 d (+.f64 a (+.f64 c b))))
8.0ms	(+.f64 d (+.f64 a (+.f64 c b)))
6.0ms	(+.f64 a (+.f64 c b))
0.0ms	(+.f64 d (+.f64 a (+.f64 c b)))
0.0ms	(+.f64 e (+.f64 d (+.f64 a (+.f64 c b))))

series280.0ms (5.7%)

Counts

3 → 72

Calls

3 calls:

129.0ms	(+.f64 e (+.f64 d (+.f64 a (+.f64 c b))))
90.0ms	(+.f64 d (+.f64 a (+.f64 c b)))
62.0ms	(+.f64 a (+.f64 c b))

Compiler

Compiled 796 to 884 computations (-11.1% saved)

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4884	1230
1	4884	1230

prune60.0ms (1.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	123	7	130

Error

Counts

130 → 7

Compiler

Compiled 1201 to 195 computations (83.8% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	314	829
1	314	829

regimes456.0ms (9.3%)

Accuracy

Total 0.2b remaining (99.3%)

Threshold costs 0.2b (99.3%)

Compiler

Compiled 4731 to 3373 computations (28.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	13
1	14	13

end0.0ms (0%)

sample2.6s (54%)

Algorithm

1×

intervals

Results

364.0ms	8000×	pre	128	true
216.0ms	8000×	body	128	valid

Compiler

Compiled 1707 to 1200 computations (29.7% saved)

Pareto

0.9613543745239472

Details

analyze3.0ms (0.1%)

sample27.0ms (0.6%)

simplify104.0ms (2.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite31.0ms (0.6%)

series282.0ms (5.8%)

simplify55.0ms (1.1%)

prune103.0ms (2.1%)

localize7.0ms (0.1%)

rewrite24.0ms (0.5%)

series225.0ms (4.6%)

simplify65.0ms (1.3%)

prune66.0ms (1.4%)

localize7.0ms (0.1%)

rewrite20.0ms (0.4%)

series188.0ms (3.8%)

simplify65.0ms (1.3%)

prune60.0ms (1.2%)

localize8.0ms (0.2%)

rewrite28.0ms (0.6%)

series280.0ms (5.7%)

simplify62.0ms (1.3%)

prune60.0ms (1.2%)

simplify12.0ms (0.2%)

regimes456.0ms (9.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.6s (54%)

Profiling