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)

sample28.0ms (0.8%)

Algorithm

1×

intervals

Results

11.0ms	256×	pre	128	true
7.0ms	256×	body	128	valid

Compiler

Compiled 30 to 30 computations (0% saved)

simplify104.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	186	13
1	186	13

prune2.0ms (0.1%)

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 (0.2%)

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)

rewrite34.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64_2402` `add-log-exp_binary64_2441`
19×	`sum-log_binary64_2493` `distribute-lft-out_binary64_2353`
3×	`+-commutative_binary64_2332` `flip3-+_binary64_2405` `add-sqr-sqrt_binary64_2424` `associate-+l+_binary64_2335` `pow1_binary64_2463` `add-exp-log_binary64_2440` `flip-+_binary64_2376` `add-cbrt-cube_binary64_2438` `add-cube-cbrt_binary64_2437`

Counts

3 → 51

Calls

6 calls:

13.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
10.0ms	(+.f64 (+.f64 (+.f64 e d) c) b)
7.0ms	(+.f64 (+.f64 e d) c)
0.0ms	(+.f64 (+.f64 e d) c)
0.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)

series288.0ms (8.1%)

Counts

3 → 72

Calls

3 calls:

131.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
97.0ms	(+.f64 (+.f64 (+.f64 e d) c) b)
60.0ms	(+.f64 (+.f64 e d) c)

Compiler

Compiled 796 to 884 computations (-11.1% saved)

simplify55.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4853	1230
1	4853	1230

prune99.0ms (2.8%)

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 (0.2%)

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)

rewrite27.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`*-un-lft-identity_binary64_2402` `add-log-exp_binary64_2441`
21×	`sum-log_binary64_2493` `distribute-lft-out_binary64_2353`
6×	`flip3-+_binary64_2405` `flip-+_binary64_2376`
4×	`frac-add_binary64_2410`
2×	`+-commutative_binary64_2332` `add-sqr-sqrt_binary64_2424` `associate-+l+_binary64_2335` `pow1_binary64_2463` `add-exp-log_binary64_2440` `add-cbrt-cube_binary64_2438` `add-cube-cbrt_binary64_2437`
1×	`associate-+r+_binary64_2334`

Counts

2 → 45

Calls

4 calls:

14.0ms	(+.f64 (+.f64 (+.f64 e d) (+.f64 c b)) a)
9.0ms	(+.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)

series228.0ms (6.4%)

Counts

2 → 54

Calls

2 calls:

135.0ms	(+.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)

simplify63.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4969	1273
1	4969	1273

prune66.0ms (1.8%)

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)

localize8.0ms (0.2%)

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)))

rewrite22.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64_2402` `add-log-exp_binary64_2441`
18×	`sum-log_binary64_2493` `distribute-lft-out_binary64_2353`
6×	`flip3-+_binary64_2405` `flip-+_binary64_2376`
4×	`frac-add_binary64_2410`
2×	`+-commutative_binary64_2332` `associate-+r+_binary64_2334` `add-sqr-sqrt_binary64_2424` `pow1_binary64_2463` `add-exp-log_binary64_2440` `add-cbrt-cube_binary64_2438` `add-cube-cbrt_binary64_2437`
1×	`associate-+l+_binary64_2335`

Counts

2 → 43

Calls

4 calls:

12.0ms	(+.f64 (+.f64 e d) (+.f64 a (+.f64 c b)))
6.0ms	(+.f64 a (+.f64 c b))
0.0ms	(+.f64 a (+.f64 c b))
0.0ms	(+.f64 (+.f64 e d) (+.f64 a (+.f64 c b)))

series197.0ms (5.5%)

Counts

2 → 48

Calls

2 calls:

133.0ms	(+.f64 (+.f64 e d) (+.f64 a (+.f64 c b)))
63.0ms	(+.f64 a (+.f64 c b))

Compiler

Compiled 528 to 588 computations (-11.4% saved)

simplify71.0ms (2%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5031	1176

prune60.0ms (1.7%)

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))

rewrite30.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64_2402` `add-log-exp_binary64_2441`
19×	`sum-log_binary64_2493` `distribute-lft-out_binary64_2353`
3×	`+-commutative_binary64_2332` `flip3-+_binary64_2405` `associate-+r+_binary64_2334` `add-sqr-sqrt_binary64_2424` `pow1_binary64_2463` `add-exp-log_binary64_2440` `flip-+_binary64_2376` `add-cbrt-cube_binary64_2438` `add-cube-cbrt_binary64_2437`

Counts

3 → 51

Calls

6 calls:

11.0ms	(+.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 (7.9%)

Counts

3 → 72

Calls

3 calls:

127.0ms	(+.f64 e (+.f64 d (+.f64 a (+.f64 c b))))
92.0ms	(+.f64 d (+.f64 a (+.f64 c b)))
61.0ms	(+.f64 a (+.f64 c b))

Compiler

Compiled 796 to 884 computations (-11.1% saved)

simplify64.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4884	1230
1	4884	1230

prune59.0ms (1.7%)

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)

regimes492.0ms (13.8%)

Accuracy

Total 0.2b remaining (99.3%)

Threshold costs 0.2b (99.3%)

Compiler

Compiled 5550 to 3801 computations (31.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	13
1	14	13

end0.0ms (0%)

sample1.3s (35.4%)

Algorithm

1×

intervals

Results

364.0ms	8000×	pre	128	true
215.0ms	8000×	body	128	valid

Compiler

Compiled 595 to 411 computations (30.9% saved)

Pareto

Details

analyze3.0ms (0.1%)

sample28.0ms (0.8%)

simplify104.0ms (2.9%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

rewrite34.0ms (0.9%)

series288.0ms (8.1%)

simplify55.0ms (1.6%)

prune99.0ms (2.8%)

localize7.0ms (0.2%)

rewrite27.0ms (0.7%)

series228.0ms (6.4%)

simplify63.0ms (1.8%)

prune66.0ms (1.8%)

localize8.0ms (0.2%)

rewrite22.0ms (0.6%)

series197.0ms (5.5%)

simplify71.0ms (2%)

prune60.0ms (1.7%)

localize8.0ms (0.2%)

rewrite30.0ms (0.8%)

series280.0ms (7.9%)

simplify64.0ms (1.8%)

prune59.0ms (1.7%)

regimes492.0ms (13.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (35.4%)

Profiling