Details

analyze11.0ms (0.6%)

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
25%	74.9%	0.1%	6
93.7%	6.2%	0.1%	7
96.8%	3.1%	0.1%	8
99.5%	0.4%	0.1%	9
99.7%	0.2%	0.1%	10
99.8%	0.1%	0.1%	11
99.9%	0%	0.1%	12
99.9%	0%	0.1%	13
99.9%	0%	0.1%	14

Compiler

Compiled 20 to 13 computations (35% saved)

sample17.0ms (0.9%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 39 to 27 computations (30.8% saved)

simplify236.0ms (12.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4742	28
1	4742	28

prune3.0ms (0.2%)

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: 33.9b

Counts

2 → 1

Compiler

Compiled 38 to 24 computations (36.8% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

4.6b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
33.3b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))

rewrite19.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_19709` `add-cube-cbrt_binary64_19722` `*-un-lft-identity_binary64_19687`
9×	`times-frac_binary64_19693`
4×	`add-cbrt-cube_binary64_19723` `add-log-exp_binary64_19726` `add-exp-log_binary64_19725`
3×	`associate-/l_binary64_19632` `associate-/r_binary64_19631`
2×	`associate-/l/_binary64_19634` `flip--_binary64_19662` `associate-/r/_binary64_19633` `flip3--_binary64_19691` `pow1_binary64_19748`
1×	`clear-num_binary64_19686` `div-exp_binary64_19738` `sub-neg_binary64_19680` `cbrt-undiv_binary64_19721` `div-sub_binary64_19692` `flip-+_binary64_19661` `div-inv_binary64_19684` `cancel-sign-sub-inv_binary64_19653` `flip3-+_binary64_19690` `diff-log_binary64_19779` `frac-2neg_binary64_19698`

Counts

2 → 44

Calls

2 calls:

10.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))
4.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))

series148.0ms (7.7%)

Counts

2 → 6

Calls

2 calls:

90.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))
57.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))

simplify52.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5370	1542

prune81.0ms (4.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	4	51

Merged error: 0.6b

Counts

51 → 4

Compiler

Compiled 1768 to 978 computations (44.7% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	0	0
Total	4	4

Merged error: 0.6b

Counts

4 → 4

Compiler

Compiled 51 to 34 computations (33.3% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify9.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Merged error: 0.6b

Counts

4 → 4

Compiler

Compiled 50 to 31 computations (38% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b

(-.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4)))) (/.f64 (*.f64 y (*.f64 y 4)) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4)))))

22.8b

(/.f64 (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4))))

24.6b

(/.f64 (*.f64 y (*.f64 y 4)) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4))))

rewrite46.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-cbrt-cube_binary64_19723` `add-exp-log_binary64_19725`
13×	`add-sqr-sqrt_binary64_19709`
11×	`*-un-lft-identity_binary64_19687`
10×	`times-frac_binary64_19693` `associate-/r/_binary64_19633`
9×	`add-cube-cbrt_binary64_19722` `cancel-sign-sub-inv_binary64_19653`
6×	`associate-/r*_binary64_19631`
5×	`div-exp_binary64_19738` `cbrt-undiv_binary64_19721` `flip-+_binary64_19661` `div-inv_binary64_19684` `add-log-exp_binary64_19726` `flip3-+_binary64_19690`
4×	`cbrt-unprod_binary64_19720` `prod-exp_binary64_19736`
3×	`distribute-rgt-out--_binary64_19641` `pow1_binary64_19748`
2×	`clear-num_binary64_19686` `difference-of-squares_binary64_19656` `associate-/l*_binary64_19632` `frac-2neg_binary64_19698`
1×	`frac-sub_binary64_19696` `sub-neg_binary64_19680` `distribute-lft-out--_binary64_19639` `flip--_binary64_19662` `flip3--_binary64_19691` `diff-log_binary64_19779` `sub-div_binary64_19694`

Counts

3 → 76

Calls

3 calls:

18.0ms

(-.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4)))) (/.f64 (*.f64 y (*.f64 y 4)) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4)))))

10.0ms

(/.f64 (*.f64 y (*.f64 y 4)) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4))))

8.0ms

(/.f64 (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4))))

series234.0ms (12.2%)

Counts

3 → 9

Calls

3 calls:

98.0ms

(-.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4)))) (/.f64 (*.f64 y (*.f64 y 4)) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4)))))

69.0ms

(/.f64 (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4))))

67.0ms

(/.f64 (*.f64 y (*.f64 y 4)) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4))))

simplify68.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5183	2533

prune111.0ms (5.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	85	4	89

Merged error: 0.6b

Counts

89 → 4

Compiler

Compiled 3043 to 1591 computations (47.7% saved)

regimes101.0ms (5.3%)

Compiler: Compiled 166 to 125 computations (24.7% saved)

bsearch94.0ms (4.9%)

Steps

Iters	Range		Point
9	1.5226108512990312e+85	1.898495111812598e+90	1.8816810645316985e+90
9	1359318253.5172195	1.530270890413808e+17	15450054544.413227
6	1.382912532973306e-83	5.7662230105028494e-83	2.797814197344609e-83
10	2.3943006693520394e-132	7.56495155902535e-119	8.016764780682956e-128
10	-1.8563713970550952e+53	-2.835560620214437e+42	-3.127310730564356e+43

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	80	109
1	80	109

end0.0ms (0%)

sample653.0ms (34%)

Algorithm

1×

intervals

Results

351.0ms

8000×

body

128

valid

Compiler

Compiled 227 to 140 computations (38.3% saved)

Details

analyze11.0ms (0.6%)

sample17.0ms (0.9%)

simplify236.0ms (12.3%)

prune3.0ms (0.2%)

localize8.0ms (0.4%)

rewrite19.0ms (1%)

series148.0ms (7.7%)

simplify52.0ms (2.7%)

prune81.0ms (4.2%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.4%)

prune3.0ms (0.2%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify9.0ms (0.5%)

prune3.0ms (0.2%)

localize9.0ms (0.5%)

rewrite46.0ms (2.4%)

series234.0ms (12.2%)

simplify68.0ms (3.5%)

prune111.0ms (5.8%)

regimes101.0ms (5.3%)

bsearch94.0ms (4.9%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample653.0ms (34%)

Profiling