Details

analyze56.0ms (2.4%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
56.2%	43.7%	0.1%	6
65.6%	34.3%	0.1%	7
76.5%	23.4%	0.1%	8
82%	18%	0.1%	9
87.8%	12.1%	0.1%	10
90.7%	9.2%	0.1%	11
93.8%	6.1%	0.1%	12
95.3%	4.6%	0.1%	13
96.8%	3.1%	0.1%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample11.0ms (0.5%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify103.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (+.f64 x y) x)

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64_14098` `*-un-lft-identity_binary64_14059`
3×	`sum-log_binary64_14150` `distribute-lft-out_binary64_14010`
1×	`add-cbrt-cube_binary64_14095` `flip-+_binary64_14033` `add-cube-cbrt_binary64_14094` `pow1_binary64_14120` `associate-+l+_binary64_13992` `+-commutative_binary64_13989` `add-sqr-sqrt_binary64_14081` `flip3-+_binary64_14062` `add-exp-log_binary64_14097`

Counts

1 → 15

Calls

1 calls:

10.0ms

(+.f64 (+.f64 x y) x)

series59.0ms (2.5%)

Counts

1 → 12

Calls

1 calls:

59.0ms

(+.f64 (+.f64 x y) x)

Compiler

Compiled 92 to 98 computations (-6.5% saved)

simplify65.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5223	217

prune15.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	2	28

Merged error: 0.0b

Counts

28 → 2

Compiler

Compiled 198 to 63 computations (68.2% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x (+.f64 x y)))
0.0b	(+.f64 x (+.f64 x y))
0.0b	(+.f64 x (+.f64 x y))
0.3b	(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))

rewrite48.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

72×	`*-un-lft-identity_binary64_14059`
43×	`sqrt-prod_binary64_14075`
33×	`distribute-lft-out_binary64_14010`
28×	`add-sqr-sqrt_binary64_14081`
20×	`pow1_binary64_14120`
16×	`swap-sqr_binary64_14026`
14×	`add-log-exp_binary64_14098` `sqrt-div_binary64_14076`
13×	`add-cube-cbrt_binary64_14094`
9×	`flip-+_binary64_14033` `pow1/2_binary64_14139` `sqrt-pow1_binary64_14077` `flip3-+_binary64_14062`
8×	`associate-r_binary64_13999` `associate-l_binary64_14000`
6×	`sum-log_binary64_14150` `add-cbrt-cube_binary64_14095` `add-exp-log_binary64_14097`
5×	`pow-prod-up_binary64_14129`
4×	`frac-times_binary64_14069` `unswap-sqr_binary64_14027`
3×	`rem-sqrt-square_binary64_14072` `pow-prod-down_binary64_14130` `pow-sqr_binary64_14032`
2×	`associate-l/_binary64_14002` `associate-r/_binary64_14001` `+-commutative_binary64_13989` `associate-+r+_binary64_13991`
1×	`pow2_binary64_14140` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `pow-plus_binary64_14122` `*-commutative_binary64_13990` `sqrt-unprod_binary64_14079` `sqr-abs_binary64_14074` `rem-square-sqrt_binary64_14071`

Counts

4 → 117

Calls

4 calls:

20.0ms	(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))
6.0ms	(+.f64 x (+.f64 x y))
6.0ms	(sqrt.f64 (+.f64 x (+.f64 x y)))
6.0ms	(+.f64 x (+.f64 x y))

series244.0ms (10.5%)

Counts

4 → 46

Calls

4 calls:

69.0ms	(+.f64 x (+.f64 x y))
65.0ms	(+.f64 x (+.f64 x y))
63.0ms	(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))
48.0ms	(sqrt.f64 (+.f64 x (+.f64 x y)))

Compiler

Compiled 854 to 704 computations (17.6% saved)

simplify93.0ms (4%)

Algorithm

1×	egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4908	1689
1	4908	1689

prune101.0ms (4.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	161	2	163
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	162	3	165

Merged error: 0.0b

Counts

165 → 3

Compiler

Compiled 2240 to 502 computations (77.6% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x (+.f64 x y)))
0.0b	(sqrt.f64 (+.f64 (+.f64 x x) y))
0.0b	(+.f64 x (+.f64 x y))
0.3b	(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 (+.f64 x x) y)))

rewrite44.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`*-un-lft-identity_binary64_14059`
24×	`sqrt-prod_binary64_14075`
20×	`add-sqr-sqrt_binary64_14081`
16×	`sqrt-div_binary64_14076`
15×	`distribute-lft-out_binary64_14010`
10×	`add-cube-cbrt_binary64_14094` `pow1_binary64_14120`
9×	`add-log-exp_binary64_14098` `flip-+_binary64_14033` `flip3-+_binary64_14062`
8×	`associate-r_binary64_13999` `associate-l_binary64_14000`
6×	`add-cbrt-cube_binary64_14095` `add-exp-log_binary64_14097`
4×	`frac-times_binary64_14069` `pow1/2_binary64_14139` `unswap-sqr_binary64_14027` `sqrt-pow1_binary64_14077`
3×	`sum-log_binary64_14150` `pow-prod-down_binary64_14130`
2×	`rem-sqrt-square_binary64_14072` `associate-l/_binary64_14002` `associate-r/_binary64_14001`
1×	`prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `*-commutative_binary64_13990` `sqrt-unprod_binary64_14079` `+-commutative_binary64_13989` `associate-+r+_binary64_13991`

Counts

4 → 91

Calls

4 calls:

19.0ms	(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 (+.f64 x x) y)))
7.0ms	(sqrt.f64 (+.f64 (+.f64 x x) y))
6.0ms	(+.f64 x (+.f64 x y))
5.0ms	(sqrt.f64 (+.f64 x (+.f64 x y)))

series415.0ms (17.8%)

Counts

4 → 44

Calls

4 calls:

257.0ms	(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 (+.f64 x x) y)))
57.0ms	(+.f64 x (+.f64 x y))
50.0ms	(sqrt.f64 (+.f64 x (+.f64 x y)))
50.0ms	(sqrt.f64 (+.f64 (+.f64 x x) y))

Compiler

Compiled 908 to 746 computations (17.8% saved)

simplify76.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5014	1766

prune91.0ms (3.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	136	2	138

Merged error: 0.0b

Counts

138 → 2

Compiler

Compiled 2139 to 560 computations (73.8% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (+.f64 (+.f64 x x) y))
0.0b	(sqrt.f64 (+.f64 (+.f64 x x) y))
0.3b	(*.f64 (sqrt.f64 (+.f64 (+.f64 x x) y)) (sqrt.f64 (+.f64 (+.f64 x x) y)))

rewrite46.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`*-un-lft-identity_binary64_14059`
48×	`sqrt-prod_binary64_14075`
30×	`distribute-lft-out_binary64_14010`
29×	`add-sqr-sqrt_binary64_14081`
20×	`pow1_binary64_14120`
16×	`swap-sqr_binary64_14026` `sqrt-div_binary64_14076`
13×	`add-cube-cbrt_binary64_14094`
10×	`pow1/2_binary64_14139` `sqrt-pow1_binary64_14077`
8×	`associate-r_binary64_13999` `flip-+_binary64_14033` `flip3-+_binary64_14062` `associate-l_binary64_14000`
5×	`add-cbrt-cube_binary64_14095` `pow-prod-up_binary64_14129` `add-exp-log_binary64_14097`
4×	`frac-times_binary64_14069` `rem-sqrt-square_binary64_14072` `unswap-sqr_binary64_14027`
3×	`add-log-exp_binary64_14098` `pow-prod-down_binary64_14130` `pow-sqr_binary64_14032`
2×	`associate-l/_binary64_14002` `associate-r/_binary64_14001`
1×	`pow2_binary64_14140` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `pow-plus_binary64_14122` `*-commutative_binary64_13990` `sqrt-unprod_binary64_14079` `sqr-abs_binary64_14074` `rem-square-sqrt_binary64_14071`

Counts

3 → 104

Calls

3 calls:

22.0ms	(*.f64 (sqrt.f64 (+.f64 (+.f64 x x) y)) (sqrt.f64 (+.f64 (+.f64 x x) y)))
7.0ms	(sqrt.f64 (+.f64 (+.f64 x x) y))
7.0ms	(sqrt.f64 (+.f64 (+.f64 x x) y))

series171.0ms (7.3%)

Counts

3 → 32

Calls

3 calls:

68.0ms	(*.f64 (sqrt.f64 (+.f64 (+.f64 x x) y)) (sqrt.f64 (+.f64 (+.f64 x x) y)))
52.0ms	(sqrt.f64 (+.f64 (+.f64 x x) y))
50.0ms	(sqrt.f64 (+.f64 (+.f64 x x) y))

Compiler

Compiled 672 to 558 computations (17% saved)

simplify52.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4983	1700
1	4983	1700

prune84.0ms (3.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	137	1	138

Merged error: 0b

Counts

138 → 1

Compiler

Compiled 1938 to 496 computations (74.4% saved)

regimes63.0ms (2.7%)

Compiler: Compiled 341 to 235 computations (31.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

end0.0ms (0%)

sample457.0ms (19.6%)

Algorithm

1×

intervals

Results

143.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 125 to 89 computations (28.8% saved)

Details

analyze56.0ms (2.4%)

sample11.0ms (0.5%)

simplify103.0ms (4.4%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite11.0ms (0.5%)

series59.0ms (2.5%)

simplify65.0ms (2.8%)

prune15.0ms (0.6%)

localize6.0ms (0.2%)

rewrite48.0ms (2.1%)

series244.0ms (10.5%)

simplify93.0ms (4%)

prune101.0ms (4.3%)

localize8.0ms (0.4%)

rewrite44.0ms (1.9%)

series415.0ms (17.8%)

simplify76.0ms (3.2%)

prune91.0ms (3.9%)

localize5.0ms (0.2%)

rewrite46.0ms (2%)

series171.0ms (7.3%)

simplify52.0ms (2.3%)

prune84.0ms (3.6%)

regimes63.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample457.0ms (19.6%)

Profiling