Details

analyze316.0ms (2.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4977	50
1	4977	50
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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
46.8%	53.1%	0.1%	6
70.2%	29.7%	0.1%	7
76.5%	23.4%	0.1%	8
83.5%	16.4%	0.1%	9
87%	12.9%	0.1%	10
91.1%	8.8%	0.1%	11
93.2%	6.7%	0.1%	12
95.4%	4.5%	0.1%	13
96.5%	3.4%	0.1%	14

Symmetry

(sort x y)

Compiler

Compiled 18 to 10 computations (44.4% saved)

sample23.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 35 to 21 computations (40% saved)

simplify138.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	4953	25
1	4953	25

prune3.0ms (0%)

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

20.6b

Counts

2 → 1

Compiler

Compiled 34 to 18 computations (47.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
0.1b	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
20.4b	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

rewrite232.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

6.7b

Rules

60×	`flip3-+_binary64_13039` `frac-times_binary64_13046` `flip-+_binary64_13010`
31×	`add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072`
30×	`associate-*l/_binary64_12979`
27×	`*-un-lft-identity_binary64_13036`
26×	`associate-/r/_binary64_12982`
18×	`associate-*r/_binary64_12978`
15×	`pow1_binary64_13097`
13×	`prod-exp_binary64_13085` `cbrt-unprod_binary64_13069`
11×	`add-sqr-sqrt_binary64_13058`
9×	`associate-r_binary64_12976` `distribute-lft-out_binary64_12987`
8×	`add-cube-cbrt_binary64_13071`
6×	`div-exp_binary64_13087` `cbrt-undiv_binary64_13070` `swap-sqr_binary64_13003`
5×	`associate-l_binary64_12977`
4×	`pow-prod-down_binary64_13107`
3×	`add-log-exp_binary64_13075`
2×	`unswap-sqr_binary64_13004` `distribute-rgt-in_binary64_12986` `distribute-lft-in_binary64_12985` `*-commutative_binary64_12967`
1×	`frac-2neg_binary64_13047` `times-frac_binary64_13042` `clear-num_binary64_13035` `div-inv_binary64_13033` `associate-/l_binary64_12981` `associate-/r_binary64_12980` `pow2_binary64_13117` `pow-prod-up_binary64_13106` `pow-plus_binary64_13099` `pow-sqr_binary64_13009`

Counts

3 → 140

Calls

3 calls:

23.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))
16.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
8.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Compiler

Compiled 4751 to 1468 computations (69.1% saved)

series726.0ms (6.2%)

Error

4.5b

Counts

3 → 64

Calls

3 calls:

371.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))
153.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
102.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Compiler

Compiled 4291 to 3107 computations (27.6% saved)

simplify95.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5011	6293

prune238.0ms (2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	197	7	204
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	198	7	205

Error

2.9b

Counts

205 → 7

Compiler

Compiled 6190 to 2527 computations (59.2% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
0.0b	(*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 (pow.f64 (+.f64 x y) 3) (neg.f64 (+.f64 x y)))))
3.4b	(/.f64 y (+.f64 (pow.f64 (+.f64 x y) 3) (neg.f64 (+.f64 x y))))
7.9b	(.f64 (.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 (pow.f64 (+.f64 x y) 3) (neg.f64 (+.f64 x y))))) (-.f64 (+.f64 x y) 1))

rewrite409.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

2.9b

Rules

141×	`*-un-lft-identity_binary64_13036`
82×	`times-frac_binary64_13042`
67×	`add-sqr-sqrt_binary64_13058`
51×	`add-cube-cbrt_binary64_13071`
45×	`associate-r_binary64_12976`
43×	`distribute-lft-out_binary64_12987`
38×	`add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072`
21×	`unpow3_binary64_13102` `distribute-rgt-out_binary64_12989`
19×	`associate-l_binary64_12977`
16×	`associate-/r/_binary64_12982`
14×	`distribute-lft-neg-in_binary64_12993` `distribute-rgt-neg-in_binary64_12994`
13×	`prod-exp_binary64_13085` `cbrt-unprod_binary64_13069` `associate-/r*_binary64_12980`
12×	`flip3-+_binary64_13039` `flip-+_binary64_13010`
11×	`pow1_binary64_13097`
10×	`div-exp_binary64_13087` `cbrt-undiv_binary64_13070` `frac-times_binary64_13046`
8×	`distribute-neg-frac_binary64_13000` `cube-div_binary64_13065` `frac-add_binary64_13044`
7×	`associate-*l/_binary64_12979` `neg-mul-1_binary64_13032`
6×	`associate-r/_binary64_12978` `cancel-sign-sub-inv_binary64_13002` `associate-/l_binary64_12981`
5×	`distribute-rgt-in_binary64_12986` `distribute-lft-in_binary64_12985`
4×	`pow-prod-down_binary64_13107` `add-log-exp_binary64_13075` `flip3--_binary64_13040` `flip--_binary64_13011` `div-inv_binary64_13033` `unswap-sqr_binary64_13004`
2×	`sub-neg_binary64_13029` `associate--l+_binary64_12973` `difference-of-squares_binary64_13005` `distribute-lft-out--_binary64_12988` `*-commutative_binary64_12967` `frac-2neg_binary64_13047` `clear-num_binary64_13035`
1×	`difference-of-sqr-1_binary64_13006`

Counts

4 → 219

Calls

4 calls:

41.0ms	(*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 (pow.f64 (+.f64 x y) 3) (neg.f64 (+.f64 x y)))))
34.0ms	(.f64 (.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 (pow.f64 (+.f64 x y) 3) (neg.f64 (+.f64 x y))))) (-.f64 (+.f64 x y) 1))
19.0ms	(/.f64 y (+.f64 (pow.f64 (+.f64 x y) 3) (neg.f64 (+.f64 x y))))
5.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 8159 to 2883 computations (64.7% saved)

series1.6s (14%)

Error

2.9b

Counts

4 → 80

Calls

4 calls:

752.0ms	(.f64 (.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 (pow.f64 (+.f64 x y) 3) (neg.f64 (+.f64 x y))))) (-.f64 (+.f64 x y) 1))
377.0ms	(*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 (pow.f64 (+.f64 x y) 3) (neg.f64 (+.f64 x y)))))
287.0ms	(/.f64 y (+.f64 (pow.f64 (+.f64 x y) 3) (neg.f64 (+.f64 x y))))
84.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 8006 to 5681 computations (29% saved)

simplify117.0ms (1%)

Algorithm

1×	egg-herbie

Counts

299 → 299

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4993	9472
1	4993	9472

prune436.0ms (3.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	295	4	299
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	296	10	306

Error

2.9b

Counts

306 → 10

Compiler

Compiled 10477 to 4355 computations (58.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
0.0b	(/.f64 y (+.f64 x (+.f64 y 1)))
0.2b	(.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) (/.f64 y (+.f64 x (+.f64 y 1))))
18.6b	(/.f64 x (*.f64 (+.f64 x y) (+.f64 x y)))

rewrite434.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

80×	`*-un-lft-identity_binary64_13036`
43×	`add-sqr-sqrt_binary64_13058`
40×	`times-frac_binary64_13042`
34×	`add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072`
31×	`add-cube-cbrt_binary64_13071`
27×	`distribute-lft-out_binary64_12987`
25×	`associate-r_binary64_12976`
20×	`flip3-+_binary64_13039` `associate-/r/_binary64_12982` `flip-+_binary64_13010`
19×	`associate-l_binary64_12977`
13×	`pow1_binary64_13097` `frac-times_binary64_13046`
10×	`prod-exp_binary64_13085` `div-exp_binary64_13087` `cbrt-undiv_binary64_13070` `cbrt-unprod_binary64_13069`
7×	`associate-l/_binary64_12979` `associate-r/_binary64_12978`
6×	`associate-/l_binary64_12981` `associate-/r_binary64_12980` `swap-sqr_binary64_13003`
5×	`unswap-sqr_binary64_13004`
4×	`add-log-exp_binary64_13075` `div-inv_binary64_13033`
2×	`frac-2neg_binary64_13047` `clear-num_binary64_13035` `pow-prod-down_binary64_13107` `*-commutative_binary64_12967`
1×	`pow2_binary64_13117` `pow-prod-up_binary64_13106` `pow-plus_binary64_13099` `pow-sqr_binary64_13009` `distribute-rgt-in_binary64_12986` `distribute-lft-in_binary64_12985`

Counts

4 → 170

Calls

4 calls:

28.0ms	(.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) (/.f64 y (+.f64 x (+.f64 y 1))))
9.0ms	(/.f64 x (*.f64 (+.f64 x y) (+.f64 x y)))
9.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
7.0ms	(/.f64 y (+.f64 x (+.f64 y 1)))

Compiler

Compiled 4663 to 1684 computations (63.9% saved)

series717.0ms (6.1%)

Error

1.3b

Counts

4 → 82

Calls

4 calls:

288.0ms	(.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) (/.f64 y (+.f64 x (+.f64 y 1))))
121.0ms	(/.f64 y (+.f64 x (+.f64 y 1)))
93.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
91.0ms	(/.f64 x (*.f64 (+.f64 x y) (+.f64 x y)))

Compiler

Compiled 5710 to 4065 computations (28.8% saved)

simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

252 → 252

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5015	6384

prune301.0ms (2.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	250	2	252
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	253	9	262

Error

0.0b

Counts

262 → 9

Compiler

Compiled 6896 to 3299 computations (52.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
0.0b	(/.f64 y (+.f64 x (+.f64 y 1)))
0.1b	(/.f64 (/.f64 x (+.f64 x y)) (+.f64 x y))
0.2b	(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (+.f64 x y)) (/.f64 y (+.f64 x (+.f64 y 1))))

rewrite451.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

313×	`*-un-lft-identity_binary64_13036`
303×	`times-frac_binary64_13042`
163×	`add-sqr-sqrt_binary64_13058`
142×	`add-cube-cbrt_binary64_13071`
89×	`distribute-lft-out_binary64_12987`
78×	`associate-l_binary64_12977`
34×	`add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072`
28×	`associate-/r/_binary64_12982`
24×	`associate-/l*_binary64_12981`
21×	`associate-r_binary64_12976`
14×	`div-exp_binary64_13087` `cbrt-undiv_binary64_13070` `div-inv_binary64_13033` `flip3-+_binary64_13039` `flip-+_binary64_13010`
13×	`associate-/r*_binary64_12980`
6×	`pow1_binary64_13097` `prod-exp_binary64_13085` `cbrt-unprod_binary64_13069` `unswap-sqr_binary64_13004`
4×	`add-log-exp_binary64_13075`
3×	`frac-2neg_binary64_13047` `clear-num_binary64_13035`
1×	`pow-prod-down_binary64_13107` `frac-times_binary64_13046` `associate-l/_binary64_12979` `associate-r/_binary64_12978` `*-commutative_binary64_12967` `associate-/l/_binary64_12983`

Counts

4 → 310

Calls

4 calls:

44.0ms	(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (+.f64 x y)) (/.f64 y (+.f64 x (+.f64 y 1))))
11.0ms	(/.f64 y (+.f64 x (+.f64 y 1)))
11.0ms	(/.f64 (/.f64 x (+.f64 x y)) (+.f64 x y))
5.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 9018 to 2926 computations (67.6% saved)

series723.0ms (6.2%)

Error

0.0b

Counts

4 → 85

Calls

4 calls:

297.0ms	(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (+.f64 x y)) (/.f64 y (+.f64 x (+.f64 y 1))))
127.0ms	(/.f64 y (+.f64 x (+.f64 y 1)))
89.0ms	(/.f64 (/.f64 x (+.f64 x y)) (+.f64 x y))
81.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 5971 to 4192 computations (29.8% saved)

simplify126.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

395 → 395

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4993	10459
1	4993	10459

prune451.0ms (3.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	387	8	395
Fresh	6	1	7
Picked	1	0	1
Done	1	0	1
Total	395	9	404

Error

Counts

404 → 9

Compiler

Compiled 11018 to 4075 computations (63% saved)

regimes805.0ms (6.9%)

Accuracy

Total 0.1b remaining (97.4%)

Threshold costs 0.1b (97.4%)

Compiler

Compiled 11943 to 6569 computations (45% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	25
1	16	25

Compiler

Compiled 34 to 20 computations (41.2% saved)

end0.0ms (0%)

sample3.1s (26.9%)

Algorithm

1×

intervals

Results

296.0ms

8000×

body

128

valid

Compiler

Compiled 3950 to 2183 computations (44.7% saved)

Details

analyze316.0ms (2.7%)

sample23.0ms (0.2%)

simplify138.0ms (1.2%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite232.0ms (2%)

series726.0ms (6.2%)

simplify95.0ms (0.8%)

prune238.0ms (2%)

localize13.0ms (0.1%)

rewrite409.0ms (3.5%)

series1.6s (14%)

simplify117.0ms (1%)

prune436.0ms (3.7%)

localize9.0ms (0.1%)

rewrite434.0ms (3.7%)

series717.0ms (6.1%)

simplify97.0ms (0.8%)

prune301.0ms (2.6%)

localize11.0ms (0.1%)

rewrite451.0ms (3.9%)

series723.0ms (6.2%)

simplify126.0ms (1.1%)

prune451.0ms (3.9%)

regimes805.0ms (6.9%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample3.1s (26.9%)

Profiling