Details

analyze50.0ms (3.3%)

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)

sample10.0ms (0.7%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify96.0ms (6.5%)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64_14780` `*-un-lft-identity_binary64_14741`
3×	`distribute-lft-out_binary64_14692` `sum-log_binary64_14832`
1×	`associate-+l+_binary64_14674` `add-sqr-sqrt_binary64_14763` `+-commutative_binary64_14671` `add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777` `flip-+_binary64_14715` `flip3-+_binary64_14744` `pow1_binary64_14802` `add-cube-cbrt_binary64_14776`

Counts

1 → 15

Calls

1 calls:

6.0ms

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

series17.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

17.0ms

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

simplify52.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4958	169
1	4958	169

prune10.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Error

0.0b

Counts

19 → 2

Compiler

Compiled 170 to 43 computations (74.7% saved)

localize7.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (cbrt.f64 (+.f64 x (+.f64 x y))))
0.5b	(cbrt.f64 (+.f64 x (+.f64 x y)))
0.5b	(cbrt.f64 (+.f64 x (+.f64 x y)))
0.5b	(cbrt.f64 (+.f64 x (+.f64 x y)))

rewrite44.0ms (3%)

Algorithm

1×	rewrite-expression-head

Rules

74×	`*-un-lft-identity_binary64_14741`
51×	`cbrt-prod_binary64_14772`
33×	`distribute-lft-out_binary64_14692`
23×	`add-sqr-sqrt_binary64_14763`
18×	`cbrt-div_binary64_14773`
15×	`add-cube-cbrt_binary64_14776`
14×	`swap-sqr_binary64_14708`
11×	`pow1_binary64_14802`
9×	`pow1/3_binary64_14823` `flip-+_binary64_14715` `flip3-+_binary64_14744`
8×	`associate-l_binary64_14682` `associate-r_binary64_14681`
6×	`add-exp-log_binary64_14779`
4×	`unswap-sqr_binary64_14709` `frac-times_binary64_14751` `add-log-exp_binary64_14780` `add-cbrt-cube_binary64_14777`
2×	`pow-sqr_binary64_14714` `pow-prod-down_binary64_14812` `associate-r/_binary64_14683` `associate-l/_binary64_14684` `pow-prod-up_binary64_14811`
1×	`cbrt-unprod_binary64_14774` `pow2_binary64_14822` `*-commutative_binary64_14672` `prod-exp_binary64_14790` `pow-plus_binary64_14804`

Counts

4 → 105

Calls

4 calls:

16.0ms	(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (cbrt.f64 (+.f64 x (+.f64 x y))))
5.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
5.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
5.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))

series586.0ms (39.5%)

Counts

4 → 12

Calls

4 calls:

175.0ms	(*.f64 (cbrt.f64 (+.f64 x (+.f64 x y))) (cbrt.f64 (+.f64 x (+.f64 x y))))
142.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
137.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))
132.0ms	(cbrt.f64 (+.f64 x (+.f64 x y)))

simplify117.0ms (7.9%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4863	2010
1	4863	2010

prune99.0ms (6.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	117	2	119

Error

0.0b

Counts

119 → 2

Compiler

Compiled 2890 to 605 computations (79.1% saved)

regimes30.0ms (2%)

Accuracy

Total 0.0b remaining (10.1%)

Threshold costs 0.0b (10.1%)

Compiler

Compiled 134 to 73 computations (45.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample351.0ms (23.6%)

Algorithm

1×

intervals

Results

137.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 56 to 35 computations (37.5% saved)

Details

analyze50.0ms (3.3%)

sample10.0ms (0.7%)

simplify96.0ms (6.5%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite7.0ms (0.5%)

series17.0ms (1.1%)

simplify52.0ms (3.5%)

prune10.0ms (0.7%)

localize7.0ms (0.5%)

rewrite44.0ms (3%)

series586.0ms (39.5%)

simplify117.0ms (7.9%)

prune99.0ms (6.7%)

regimes30.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample351.0ms (23.6%)

Profiling