Details

analyze357.0ms (19.5%)

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
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample19.0ms (1%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	28×	body	128	invalid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify239.0ms (13.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4802	13
1	4802	13

prune4.0ms (0.2%)

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: 0b

Counts

2 → 2

Compiler

Compiled 31 to 30 computations (3.2% saved)

localize9.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
0.0b	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)

rewrite22.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64_11907` `add-cbrt-cube_binary64_11905`
6×	`*-un-lft-identity_binary64_11872`
4×	`add-sqr-sqrt_binary64_11893` `add-log-exp_binary64_11908` `add-cube-cbrt_binary64_11904`
3×	`times-frac_binary64_11878` `associate-/r*_binary64_11818`
2×	`cbrt-undiv_binary64_11903` `div-exp_binary64_11920` `associate-*r/_binary64_11816` `associate-/l/_binary64_11821` `pow1_binary64_11930`
1×	`sum-log_binary64_11960` `div-inv_binary64_11869` `flip--_binary64_11847` `prod-exp_binary64_11918` `flip3--_binary64_11876` `flip-+_binary64_11846` `cbrt-unprod_binary64_11902` `clear-num_binary64_11871` `associate-/l*_binary64_11819` `+-commutative_binary64_11804` `frac-2neg_binary64_11883` `distribute-lft-out_binary64_11825` `flip3-+_binary64_11875`

Counts

2 → 35

Calls

2 calls:

11.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)
8.0ms	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))

series117.0ms (6.4%)

Counts

2 → 6

Calls

2 calls:

72.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)
44.0ms	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))

simplify68.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4966	845
1	4966	845

prune42.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	2	43

Merged error: 0b

Counts

43 → 2

Compiler

Compiled 777 to 532 computations (31.5% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
0.2b	(*.f64 (/.f64 4 y) (-.f64 x z))

rewrite25.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_11893`
13×	`associate-l_binary64_11815`
12×	`*-un-lft-identity_binary64_11872`
10×	`times-frac_binary64_11878` `add-cube-cbrt_binary64_11904`
7×	`add-exp-log_binary64_11907` `add-cbrt-cube_binary64_11905`
5×	`associate-r_binary64_11814`
4×	`sub-neg_binary64_11865` `pow1_binary64_11930` `add-log-exp_binary64_11908`
2×	`distribute-lft-in_binary64_11823` `flip--_binary64_11847` `associate-*r/_binary64_11816` `prod-exp_binary64_11918` `distribute-rgt-in_binary64_11824` `flip3--_binary64_11876` `frac-times_binary64_11882` `cbrt-unprod_binary64_11902` `unswap-sqr_binary64_11840` `associate-+l+_binary64_11807`
1×	`sum-log_binary64_11960` `cbrt-undiv_binary64_11903` `div-exp_binary64_11920` `div-inv_binary64_11869` `distribute-lft-out--_binary64_11826` `associate-l/_binary64_11817` `pow-prod-down_binary64_11940` `difference-of-squares_binary64_11841` `flip-+_binary64_11846` `+-commutative_binary64_11804` `-commutative_binary64_11805` `flip3-+_binary64_11875`

Counts

2 → 53

Calls

2 calls:

11.0ms	(*.f64 (/.f64 4 y) (-.f64 x z))
10.0ms	(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)

series129.0ms (7%)

Counts

2 → 6

Calls

2 calls:

89.0ms	(*.f64 (/.f64 4 y) (-.f64 x z))
40.0ms	(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)

simplify66.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5031	837

prune49.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	59	2	61

Merged error: 0b

Counts

61 → 2

Compiler

Compiled 872 to 515 computations (40.9% saved)

regimes50.0ms (2.7%)

Compiler: Compiled 164 to 167 computations (-1.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	19
1	27	19

end0.0ms (0%)

sample625.0ms (34.1%)

Algorithm

1×

intervals

Results

315.0ms	8000×	body	128	valid
35.0ms	916×	body	128	invalid

Compiler

Compiled 49 to 49 computations (0% saved)

Details

analyze357.0ms (19.5%)

sample19.0ms (1%)

simplify239.0ms (13.1%)

prune4.0ms (0.2%)

localize9.0ms (0.5%)

rewrite22.0ms (1.2%)

series117.0ms (6.4%)

simplify68.0ms (3.7%)

prune42.0ms (2.3%)

localize7.0ms (0.4%)

rewrite25.0ms (1.4%)

series129.0ms (7%)

simplify66.0ms (3.6%)

prune49.0ms (2.7%)

regimes50.0ms (2.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample625.0ms (34.1%)

Profiling