Details

analyze269.0ms (11.3%)

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
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
12.5%	71.8%	15.7%	8
25%	56.2%	18.9%	9
31.2%	43.7%	25.1%	10
39%	34.7%	26.3%	11
44.9%	27.9%	27.3%	12
47.8%	22%	30.2%	13
52.6%	16.8%	30.7%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample15.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	17×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify165.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	201	13
1	201	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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_4494`
1×	`add-cbrt-cube_binary64_4491` `diff-log_binary64_4547` `pow1_binary64_4516` `add-sqr-sqrt_binary64_4479` `sub-neg_binary64_4451` `add-cube-cbrt_binary64_4490` `flip--_binary64_4433` `flip3--_binary64_4462` `*-un-lft-identity_binary64_4458` `add-exp-log_binary64_4493`

Counts

1 → 11

Calls

1 calls:

5.0ms

(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))

series68.0ms (2.9%)

Counts

1 → 3

Calls

1 calls:

68.0ms

(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))

simplify61.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4865	260
1	4865	260

prune14.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0b

Counts

15 → 3

Compiler

Compiled 245 to 146 computations (40.4% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
0.3b	(pow.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)) 3)
32.7b	(cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)) 3))

rewrite20.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_4486`
9×	`add-sqr-sqrt_binary64_4479` `add-cube-cbrt_binary64_4490` `*-un-lft-identity_binary64_4458`
6×	`cube-prod_binary64_4483` `unpow-prod-down_binary64_4534`
5×	`add-log-exp_binary64_4494`
4×	`add-cbrt-cube_binary64_4491` `pow1_binary64_4516` `cube-div_binary64_4484` `add-exp-log_binary64_4493`
3×	`pow-unpow_binary64_4532` `flip--_binary64_4433` `flip3--_binary64_4462`
2×	`sqr-pow_binary64_4430` `cube-mult_binary64_4485` `unpow3_binary64_4521` `cbrt-div_binary64_4487`
1×	`diff-log_binary64_4547` `sub-neg_binary64_4451` `rem-cube-cbrt_binary64_4480` `pow-to-exp_binary64_4524` `pow1/3_binary64_4537` `rem-cbrt-cube_binary64_4481` `pow-exp_binary64_4523` `pow-pow_binary64_4527`

Counts

3 → 59

Calls

3 calls:

6.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)) 3))
6.0ms	(pow.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)) 3)
4.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

series311.0ms (13%)

Counts

3 → 9

Calls

3 calls:

170.0ms	(pow.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)) 3)
72.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
69.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)) 3))

simplify68.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4946	1425
1	4946	1425

prune65.0ms (2.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	68	3	71

Merged error: 0b

Counts

71 → 3

Compiler

Compiled 1270 to 749 computations (41% saved)

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

1.7b	(-.f64 (pow.f64 x 4) (.f64 y (.f64 (.f64 y 16) (.f64 z z))))
3.8b	(.f64 y (.f64 (.f64 y 16) (.f64 z z)))
10.4b	(.f64 (.f64 y 16) (*.f64 z z))
25.0b	(/.f64 (-.f64 (pow.f64 x 4) (.f64 y (.f64 (.f64 y 16) (.f64 z z)))) (+.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))

rewrite48.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-cbrt-cube_binary64_4491` `add-exp-log_binary64_4493`
34×	`pow1_binary64_4516`
21×	`cbrt-unprod_binary64_4488` `prod-exp_binary64_4504` `pow-prod-down_binary64_4526`
13×	`add-sqr-sqrt_binary64_4479` `add-cube-cbrt_binary64_4490` `*-un-lft-identity_binary64_4458`
9×	`times-frac_binary64_4464`
6×	`add-log-exp_binary64_4494`
4×	`associate-l_binary64_4401`
3×	`associate-/r_binary64_4404` `associate-/l_binary64_4405`
2×	`associate-r_binary64_4400` `*-commutative_binary64_4391` `associate-/r/_binary64_4406` `flip--_binary64_4433` `flip3--_binary64_4462` `associate-/l/_binary64_4407`
1×	`diff-log_binary64_4547` `cbrt-undiv_binary64_4489` `frac-2neg_binary64_4469` `flip3-+_binary64_4461` `div-exp_binary64_4506` `clear-num_binary64_4457` `sub-neg_binary64_4451` `div-inv_binary64_4455` `flip-+_binary64_4432` `div-sub_binary64_4463`

Counts

4 → 92

Calls

4 calls:

11.0ms	(.f64 y (.f64 (.f64 y 16) (.f64 z z)))
11.0ms	(/.f64 (-.f64 (pow.f64 x 4) (.f64 y (.f64 (.f64 y 16) (.f64 z z)))) (+.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
8.0ms	(.f64 (.f64 y 16) (*.f64 z z))
7.0ms	(-.f64 (pow.f64 x 4) (.f64 y (.f64 (.f64 y 16) (.f64 z z))))

series379.0ms (15.9%)

Counts

4 → 12

Calls

4 calls:

160.0ms	(/.f64 (-.f64 (pow.f64 x 4) (.f64 y (.f64 (.f64 y 16) (.f64 z z)))) (+.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
117.0ms	(-.f64 (pow.f64 x 4) (.f64 y (.f64 (.f64 y 16) (.f64 z z))))
54.0ms	(.f64 y (.f64 (.f64 y 16) (.f64 z z)))
49.0ms	(.f64 (.f64 y 16) (*.f64 z z))

simplify71.0ms (3%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4992	2588
1	4992	2588

prune135.0ms (5.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	104	3	107

Merged error: 0b

Counts

107 → 3

Compiler

Compiled 3110 to 1753 computations (43.6% saved)

regimes95.0ms (4%)

Compiler: Compiled 501 to 477 computations (4.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	13
1	53	13

end0.0ms (0%)

sample562.0ms (23.6%)

Algorithm

1×

intervals

Results

231.0ms	8000×	body	128	valid
13.0ms	479×	body	128	invalid

Compiler

Compiled 84 to 79 computations (6% saved)

Details

analyze269.0ms (11.3%)

sample15.0ms (0.6%)

simplify165.0ms (6.9%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite6.0ms (0.2%)

series68.0ms (2.9%)

simplify61.0ms (2.5%)

prune14.0ms (0.6%)

localize9.0ms (0.4%)

rewrite20.0ms (0.9%)

series311.0ms (13%)

simplify68.0ms (2.8%)

prune65.0ms (2.7%)

localize15.0ms (0.6%)

rewrite48.0ms (2%)

series379.0ms (15.9%)

simplify71.0ms (3%)

prune135.0ms (5.6%)

regimes95.0ms (4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample562.0ms (23.6%)

Profiling