Details

analyze389.0ms (12.1%)

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)

sample22.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	33×	body	128	invalid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify255.0ms (7.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4802	13
1	4802	13

prune9.0ms (0.3%)

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 → 2

Compiler

Compiled 31 to 30 computations (3.2% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)
0.3b	(*.f64 (/.f64 4 y) (-.f64 x z))

rewrite26.0ms (0.8%)

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)

series137.0ms (4.3%)

Counts

2 → 6

Calls

2 calls:

95.0ms	(*.f64 (/.f64 4 y) (-.f64 x z))
42.0ms	(+.f64 (*.f64 (/.f64 4 y) (-.f64 x z)) 2)

simplify80.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5031	837

prune55.0ms (1.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	59	2	61

Merged error: 0b

Counts

61 → 2

Compiler

Compiled 910 to 544 computations (40.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite35.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64_11893`
37×	`*-un-lft-identity_binary64_11872`
31×	`times-frac_binary64_11878`
23×	`add-cube-cbrt_binary64_11904`
19×	`associate-r_binary64_11814`
10×	`add-exp-log_binary64_11907` `add-cbrt-cube_binary64_11905`
7×	`distribute-lft-out--_binary64_11826` `difference-of-squares_binary64_11841`
5×	`associate-/l*_binary64_11819` `pow1_binary64_11930` `add-log-exp_binary64_11908`
3×	`associate-l_binary64_11815` `associate-/r*_binary64_11818`
2×	`cbrt-undiv_binary64_11903` `div-exp_binary64_11920` `div-inv_binary64_11869` `prod-exp_binary64_11918` `associate-/l/_binary64_11821` `cbrt-unprod_binary64_11902` `unswap-sqr_binary64_11840`
1×	`sum-log_binary64_11960` `div-sub_binary64_11877` `flip--_binary64_11847` `associate-r/_binary64_11816` `pow-prod-down_binary64_11940` `flip3--_binary64_11876` `flip-+_binary64_11846` `clear-num_binary64_11871` `+-commutative_binary64_11804` `frac-2neg_binary64_11883` `-commutative_binary64_11805` `flip3-+_binary64_11875`

Counts

3 → 87

Calls

3 calls:

12.0ms	(*.f64 4 (/.f64 (-.f64 x z) y))
9.0ms	(+.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 2)
7.0ms	(/.f64 (-.f64 x z) y)

series179.0ms (5.6%)

Counts

3 → 9

Calls

3 calls:

75.0ms	(*.f64 4 (/.f64 (-.f64 x z) y))
55.0ms	(/.f64 (-.f64 x z) y)
49.0ms	(+.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 2)

simplify67.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4969	1316
1	4969	1316

prune77.0ms (2.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	96	2	98

Merged error: 0b

Counts

98 → 2

Compiler

Compiled 1468 to 642 computations (56.3% saved)

localize18.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (/.f64 (-.f64 x z) y) (-.f64 (.f64 (-.f64 x z) (/.f64 16 y)) 8))
0.3b	(pow.f64 (/.f64 (-.f64 x z) y) 3)
0.3b	(*.f64 (-.f64 x z) (/.f64 16 y))
20.4b	(/.f64 (+.f64 (.f64 64 (pow.f64 (/.f64 (-.f64 x z) y) 3)) 8) (+.f64 4 (.f64 (/.f64 (-.f64 x z) y) (-.f64 (*.f64 (-.f64 x z) (/.f64 16 y)) 8))))

rewrite90.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

79×	`add-sqr-sqrt_binary64_11893`
69×	`*-un-lft-identity_binary64_11872`
65×	`times-frac_binary64_11878`
49×	`add-cube-cbrt_binary64_11904`
24×	`associate-l_binary64_11815`
19×	`add-exp-log_binary64_11907` `cube-prod_binary64_11897` `add-cbrt-cube_binary64_11905` `unpow-prod-down_binary64_11948`
16×	`associate-r_binary64_11814`
10×	`distribute-lft-out--_binary64_11826` `difference-of-squares_binary64_11841`
9×	`pow1_binary64_11930`
5×	`div-inv_binary64_11869`
4×	`cbrt-undiv_binary64_11903` `div-exp_binary64_11920` `flip--_binary64_11847` `prod-exp_binary64_11918` `flip3--_binary64_11876` `frac-times_binary64_11882` `cbrt-unprod_binary64_11902` `unswap-sqr_binary64_11840` `add-log-exp_binary64_11908`
3×	`pow-unpow_binary64_11946` `associate-/r_binary64_11818` `associate-r/_binary64_11816` `associate-l/_binary64_11817` `associate-/l_binary64_11819`
2×	`associate-/r/_binary64_11820` `pow-exp_binary64_11937` `sub-neg_binary64_11865` `associate-/l/_binary64_11821` `pow-prod-down_binary64_11940` `flip-+_binary64_11846` `rem-cube-cbrt_binary64_11894` `*-commutative_binary64_11805` `flip3-+_binary64_11875`
1×	`unpow3_binary64_11935` `pow-to-exp_binary64_11938` `cube-div_binary64_11898` `sqr-pow_binary64_11844` `pow-pow_binary64_11941` `distribute-lft-in_binary64_11823` `distribute-rgt-in_binary64_11824` `clear-num_binary64_11871` `cube-mult_binary64_11899` `frac-2neg_binary64_11883`

Counts

4 → 171

Calls

4 calls:

22.0ms	(/.f64 (+.f64 (.f64 64 (pow.f64 (/.f64 (-.f64 x z) y) 3)) 8) (+.f64 4 (.f64 (/.f64 (-.f64 x z) y) (-.f64 (*.f64 (-.f64 x z) (/.f64 16 y)) 8))))
21.0ms	(.f64 (/.f64 (-.f64 x z) y) (-.f64 (.f64 (-.f64 x z) (/.f64 16 y)) 8))
13.0ms	(pow.f64 (/.f64 (-.f64 x z) y) 3)
12.0ms	(*.f64 (-.f64 x z) (/.f64 16 y))

series650.0ms (20.3%)

Counts

4 → 12

Calls

4 calls:

308.0ms	(/.f64 (+.f64 (.f64 64 (pow.f64 (/.f64 (-.f64 x z) y) 3)) 8) (+.f64 4 (.f64 (/.f64 (-.f64 x z) y) (-.f64 (*.f64 (-.f64 x z) (/.f64 16 y)) 8))))
173.0ms	(.f64 (/.f64 (-.f64 x z) y) (-.f64 (.f64 (-.f64 x z) (/.f64 16 y)) 8))
103.0ms	(pow.f64 (/.f64 (-.f64 x z) y) 3)
65.0ms	(*.f64 (-.f64 x z) (/.f64 16 y))

simplify97.0ms (3%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5504	4800

prune316.0ms (9.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	183	2	185

Merged error: 0b

Counts

185 → 2

Compiler

Compiled 6989 to 3653 computations (47.7% saved)

regimes30.0ms (0.9%)

Compiler: Compiled 120 to 105 computations (12.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample659.0ms (20.5%)

Algorithm

1×

intervals

Results

329.0ms	8000×	body	128	valid
38.0ms	958×	body	128	invalid

Compiler

Compiled 61 to 54 computations (11.5% saved)

Details

analyze389.0ms (12.1%)

sample22.0ms (0.7%)

simplify255.0ms (7.9%)

prune9.0ms (0.3%)

localize8.0ms (0.3%)

rewrite26.0ms (0.8%)

series137.0ms (4.3%)

simplify80.0ms (2.5%)

prune55.0ms (1.7%)

localize8.0ms (0.2%)

rewrite35.0ms (1.1%)

series179.0ms (5.6%)

simplify67.0ms (2.1%)

prune77.0ms (2.4%)

localize18.0ms (0.6%)

rewrite90.0ms (2.8%)

series650.0ms (20.3%)

simplify97.0ms (3%)

prune316.0ms (9.8%)

regimes30.0ms (0.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample659.0ms (20.5%)

Profiling