Details

analyze372.0ms (10.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2142	26
1	2142	26
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
56.2%	43.7%	0.1%	5
65.6%	34.3%	0.1%	6
79.6%	20.3%	0.1%	7
83.5%	16.4%	0.1%	8
90.1%	9.8%	0.1%	9
91.9%	8%	0.1%	10
95.1%	4.8%	0.1%	11
96%	4%	0.1%	12
97.5%	2.4%	0.1%	13
97.9%	2%	0.1%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample20.0ms (0.6%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify219.0ms (6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (214.0ms)

Iter	Nodes	Cost
0	2142	13
1	2142	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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite85.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

67×	`*-un-lft-identity_binary64_20879`
44×	`add-sqr-sqrt_binary64_20901`
30×	`times-frac_binary64_20885`
21×	`distribute-lft-out--_binary64_20831`
16×	`add-cube-cbrt_binary64_20914`
14×	`difference-of-squares_binary64_20848`
8×	`distribute-lft-out_binary64_20830`
7×	`add-log-exp_binary64_20918`
6×	`associate-/r*_binary64_20823`
5×	`associate-/l*_binary64_20824`
4×	`add-exp-log_binary64_20917` `add-cbrt-cube_binary64_20915` `cancel-sign-sub-inv_binary64_20845`
3×	`flip3--_binary64_20883` `flip--_binary64_20854`
2×	`pow1_binary64_20940` `associate-/l/_binary64_20826` `associate-/r/_binary64_20825` `diff-log_binary64_20971`
1×	`div-exp_binary64_20930` `cbrt-undiv_binary64_20913` `frac-2neg_binary64_20890` `div-sub_binary64_20884` `clear-num_binary64_20878` `div-inv_binary64_20876` `sum-log_binary64_20970` `sub-neg_binary64_20872` `associate--r+_binary64_20815`

Counts

2 → 78

Calls

2 calls:

10.0ms	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
6.0ms	(-.f64 2 (+.f64 x y))

Compiler

Compiled 1422 to 609 computations (57.2% saved)

series249.0ms (6.8%)

Error

Counts

2 → 36

Calls

2 calls:

152.0ms	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
49.0ms	(-.f64 2 (+.f64 x y))

Compiler

Compiled 1810 to 1397 computations (22.8% saved)

simplify76.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4953	2535
1	4953	2535

prune100.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	112	3	115

Error

Counts

115 → 3

Compiler

Compiled 2055 to 968 computations (52.9% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 2 (+.f64 y x))
0.0b	(/.f64 (-.f64 2 (+.f64 y x)) (-.f64 x y))
0.1b	(/.f64 1 (/.f64 (-.f64 2 (+.f64 y x)) (-.f64 x y)))

rewrite349.0ms (9.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

301×	`*-un-lft-identity_binary64_20879`
258×	`times-frac_binary64_20885`
218×	`add-sqr-sqrt_binary64_20901`
102×	`add-cube-cbrt_binary64_20914`
85×	`distribute-lft-out--_binary64_20831`
58×	`difference-of-squares_binary64_20848`
41×	`associate-/r*_binary64_20823`
28×	`distribute-lft-out_binary64_20830`
16×	`add-exp-log_binary64_20917`
11×	`associate-/r/_binary64_20825`
10×	`add-cbrt-cube_binary64_20915`
9×	`associate-/l*_binary64_20824`
8×	`div-exp_binary64_20930` `add-log-exp_binary64_20918`
7×	`flip3--_binary64_20883` `flip--_binary64_20854`
6×	`div-inv_binary64_20876`
4×	`pow1_binary64_20940` `cbrt-undiv_binary64_20913` `cancel-sign-sub-inv_binary64_20845`
2×	`1-exp_binary64_20923` `rec-exp_binary64_20929` `frac-2neg_binary64_20890` `clear-num_binary64_20878` `associate-/l/_binary64_20826` `diff-log_binary64_20971`
1×	`inv-pow_binary64_20964` `pow-flip_binary64_20953` `div-sub_binary64_20884` `sum-log_binary64_20970` `sub-neg_binary64_20872` `associate--r+_binary64_20815`

Counts

3 → 246

Calls

3 calls:

15.0ms	(/.f64 1 (/.f64 (-.f64 2 (+.f64 y x)) (-.f64 x y)))
10.0ms	(/.f64 (-.f64 2 (+.f64 y x)) (-.f64 x y))
7.0ms	(-.f64 2 (+.f64 y x))

Compiler

Compiled 5779 to 2951 computations (48.9% saved)

series415.0ms (11.3%)

Error

Counts

3 → 57

Calls

3 calls:

170.0ms	(/.f64 1 (/.f64 (-.f64 2 (+.f64 y x)) (-.f64 x y)))
127.0ms	(/.f64 (-.f64 2 (+.f64 y x)) (-.f64 x y))
49.0ms	(-.f64 2 (+.f64 y x))

Compiler

Compiled 3081 to 2452 computations (20.4% saved)

simplify124.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

303 → 303

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4952	7880
1	4952	7880

prune326.0ms (8.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	303	0	303
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	303	3	306

Error

Counts

306 → 3

Compiler

Compiled 6344 to 3031 computations (52.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x)))
0.0b	(*.f64 2 (/.f64 y x))

rewrite72.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-sqr-sqrt_binary64_20901`
13×	`-un-lft-identity_binary64_20879` `associate-r*_binary64_20819`
11×	`add-cube-cbrt_binary64_20914`
10×	`times-frac_binary64_20885`
7×	`add-exp-log_binary64_20917` `add-log-exp_binary64_20918` `add-cbrt-cube_binary64_20915`
4×	`pow1_binary64_20940` `cancel-sign-sub-inv_binary64_20845`
3×	`associate-r/_binary64_20821` `associate-l*_binary64_20820`
2×	`prod-exp_binary64_20928` `cbrt-unprod_binary64_20912` `unswap-sqr_binary64_20847` `diff-log_binary64_20971` `frac-sub_binary64_20888`
1×	`pow-prod-down_binary64_20950` `div-exp_binary64_20930` `cbrt-undiv_binary64_20913` `div-inv_binary64_20876` `*-commutative_binary64_20810` `sum-log_binary64_20970` `flip3-+_binary64_20882` `flip-+_binary64_20853` `flip3--_binary64_20883` `sub-neg_binary64_20872` `flip--_binary64_20854` `distribute-lft-out_binary64_20830` `associate--r+_binary64_20815`

Counts

2 → 51

Calls

2 calls:

12.0ms	(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x)))
7.0ms	(*.f64 2 (/.f64 y x))

Compiler

Compiled 1013 to 674 computations (33.5% saved)

series191.0ms (5.2%)

Error

Counts

2 → 18

Calls

2 calls:

121.0ms	(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x)))
60.0ms	(*.f64 2 (/.f64 y x))

Compiler

Compiled 488 to 415 computations (15% saved)

simplify80.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5018	840

prune52.0ms (1.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	69	3	72

Error

Counts

72 → 3

Compiler

Compiled 977 to 652 computations (33.3% saved)

regimes105.0ms (2.9%)

Accuracy

Total 0.0b remaining (73.1%)

Threshold costs 0.0b (73.1%)

Compiler

Compiled 1033 to 811 computations (21.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

end0.0ms (0%)

sample805.0ms (22%)

Algorithm

1×

intervals

Results

219.0ms

8000×

body

128

valid

Compiler

Compiled 371 to 290 computations (21.8% saved)

Details

analyze372.0ms (10.2%)

sample20.0ms (0.6%)

simplify219.0ms (6%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite85.0ms (2.3%)

series249.0ms (6.8%)

simplify76.0ms (2.1%)

prune100.0ms (2.7%)

localize7.0ms (0.2%)

rewrite349.0ms (9.5%)

series415.0ms (11.3%)

simplify124.0ms (3.4%)

prune326.0ms (8.9%)

localize7.0ms (0.2%)

rewrite72.0ms (2%)

series191.0ms (5.2%)

simplify80.0ms (2.2%)

prune52.0ms (1.4%)

regimes105.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample805.0ms (22%)

Profiling