Details

analyze442.0ms (15.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
28.1%	71.8%	0.1%	9
42.1%	57.7%	0.1%	10
49.1%	50.7%	0.1%	11
57.3%	42.5%	0.1%	12
66.9%	33%	0.1%	13
71.7%	28.2%	0.1%	14

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample22.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify95.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	20	18
1	20	18

prune3.0ms (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

36.3b

Counts

2 → 1

Compiler

Compiled 24 to 18 computations (25% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
0.0b	(+.f64 (.f64 x x) (.f64 y y))
33.8b	(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))

rewrite55.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

36.3b

Rules

10×	`add-log-exp_binary64_14098`
5×	`add-sqr-sqrt_binary64_14081`
4×	`pow1_binary64_14120` `add-cube-cbrt_binary64_14094` `*-un-lft-identity_binary64_14059` `sum-log_binary64_14150`
3×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095` `flip3-+_binary64_14062` `flip-+_binary64_14033` `sqrt-prod_binary64_14075`
2×	`sqrt-div_binary64_14076` `+-commutative_binary64_13989`
1×	`pow1/2_binary64_14139` `sqrt-pow1_binary64_14077` `rem-sqrt-square_binary64_14072` `associate-+l+_binary64_13992`

Counts

3 → 39

Calls

3 calls:

8.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
7.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))
5.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 910 to 154 computations (83.1% saved)

series656.0ms (22.6%)

Error

0.6b

Counts

3 → 56

Calls

3 calls:

325.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))
175.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
94.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 2702 to 2262 computations (16.3% saved)

simplify69.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4995	2088
1	4995	2088

prune79.0ms (2.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	88	7	95
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	8	96

Error

0.6b

Counts

96 → 8

Compiler

Compiled 1733 to 488 computations (71.8% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.6b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms (0.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	1	1
Total	8	8

Error

0.6b

Counts

8 → 8

Compiler

Compiled 23 to 29 computations (-26.1% saved)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.6b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms (0.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	2	2
Total	8	8

Error

0.6b

Counts

8 → 8

Compiler

Compiled 21 to 25 computations (-19% saved)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.6b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	3	3
Total	8	8

Error

0.6b

Counts

8 → 8

Compiler

Compiled 0 to 0 computations (0% saved)

regimes506.0ms (17.4%)

Accuracy

Total 25.6b remaining (97.7%)

Threshold costs 0b (0%)

Compiler

Compiled 1322 to 1427 computations (-7.9% saved)

bsearch110.0ms (3.8%)

Steps

Iters	Range		Point
10	1.044159500644799e+139	3.256216735528593e+150	6.927780121112873e+149
8	-1.8177010501848552e-252	-1.770720354297208e-255	-5.606683175932588e-254
8	-3.429406833615811e-222	-4.6539933709155684e-226	-4.738824455578195e-226
8	-1.8991997878968247e-195	-7.038922463835521e-199	-1.1752862576324589e-195
10	-5.600907060894723e-144	-9.769294118655792e-160	-9.91481798046696e-160
10	-1.1788987556241248e+118	-1.1259909223234031e+104	-2.1775431588860127e+114

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	98
1	45	98

end0.0ms (0%)

sample822.0ms (28.3%)

Algorithm

1×

intervals

Results

301.0ms

8000×

body

128

valid

Compiler

Compiled 212 to 177 computations (16.5% saved)

Details

analyze442.0ms (15.2%)

sample22.0ms (0.8%)

simplify95.0ms (3.3%)

prune3.0ms (0.1%)

localize8.0ms (0.3%)

rewrite55.0ms (1.9%)

series656.0ms (22.6%)

simplify69.0ms (2.4%)

prune79.0ms (2.7%)

localize1.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.2%)

prune4.0ms (0.1%)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.3%)

prune3.0ms (0.1%)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.2%)

prune1.0ms (0%)

regimes506.0ms (17.4%)

bsearch110.0ms (3.8%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample822.0ms (28.3%)

Profiling