Details

analyze945.0ms (12.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4996	26
1	4996	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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
3.1%	90.5%	6.3%	6
4.7%	85.9%	9.5%	7
21.1%	64%	14.9%	8
23.4%	58.9%	17.7%	9
27.7%	51.3%	21%	10
28.9%	48.5%	22.6%	11
31.1%	44.4%	24.5%	12
31.7%	42.9%	25.4%	13
32.7%	41%	26.3%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample65.0ms (0.9%)

Algorithm

1×

intervals

Results

22.0ms	57×	body	1024	valid
9.0ms	144×	body	128	valid
8.0ms	32×	body	512	valid
5.0ms	7×	body	2048	valid
2.0ms	16×	body	256	valid
2.0ms	7×	body	1024	invalid
1.0ms	6×	body	512	invalid
1.0ms	8×	body	256	invalid
0.0ms	4×	body	128	invalid
0.0ms	1×	body	128	nan

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4941	13
1	4941	13

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

9.7b

Counts

2 → 1

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
0.0b	(/.f64 x (+.f64 x y))
5.6b	(pow.f64 (/.f64 x (+.f64 x y)) x)

rewrite210.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

Rules

138×	`times-frac_binary64_13042`
118×	`*-un-lft-identity_binary64_13036`
90×	`unpow-prod-down_binary64_13115`
80×	`add-cube-cbrt_binary64_13071` `add-sqr-sqrt_binary64_13058`
25×	`associate-/l*_binary64_12981`
19×	`distribute-lft-out_binary64_12987`
16×	`add-exp-log_binary64_13074`
12×	`associate-/r/_binary64_12982`
7×	`div-inv_binary64_13033` `div-exp_binary64_13087` `add-cbrt-cube_binary64_13072` `associate-/r*_binary64_12980`
6×	`flip3-+_binary64_13039` `flip-+_binary64_13010`
5×	`sqr-pow_binary64_13008`
4×	`pow1_binary64_13097` `pow-exp_binary64_13104`
3×	`pow-unpow_binary64_13113` `add-log-exp_binary64_13075`
2×	`pow-to-exp_binary64_13105` `cbrt-undiv_binary64_13070` `frac-2neg_binary64_13047` `clear-num_binary64_13035`
1×	`pow-pow_binary64_13108`

Counts

3 → 172

Calls

3 calls:

13.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
8.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
5.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 3460 to 784 computations (77.3% saved)

series370.0ms (5%)

Error

0.0b

Counts

3 → 38

Calls

3 calls:

127.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
126.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
81.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 1409 to 1011 computations (28.2% saved)

simplify125.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4993	4446
1	4993	4446

prune171.0ms (2.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	206	4	210
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	206	5	211

Error

Counts

211 → 5

Compiler

Compiled 3764 to 822 computations (78.2% saved)

localize4.0ms (0.1%)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series1.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	0	0

prune8.0ms (0.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	1	1
Total	5	5

Error

Counts

5 → 5

Compiler

Compiled 56 to 42 computations (25% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (exp.f64 (neg.f64 y)) x)

rewrite27.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-cube-cbrt_binary64_13071` `add-sqr-sqrt_binary64_13058` `times-frac_binary64_13042` `*-un-lft-identity_binary64_13036`
3×	`add-cbrt-cube_binary64_13072` `associate-/l_binary64_12981` `associate-/r_binary64_12980`
2×	`add-exp-log_binary64_13074` `associate-/l/_binary64_12983`
1×	`pow1_binary64_13097` `div-exp_binary64_13087` `add-log-exp_binary64_13075` `cbrt-undiv_binary64_13070` `frac-2neg_binary64_13047` `clear-num_binary64_13035` `div-inv_binary64_13033` `neg-sub0_binary64_13031` `exp-diff_binary64_13084` `exp-neg_binary64_13083`

Counts

1 → 29

Calls

1 calls:

6.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

Compiler

Compiled 340 to 95 computations (72.1% saved)

series89.0ms (1.2%)

Error

Counts

1 → 9

Calls

1 calls:

79.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

Compiler

Compiled 174 to 131 computations (24.7% saved)

simplify81.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5645	510

prune27.0ms (0.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	38	5	43

Error

Counts

43 → 5

Compiler

Compiled 417 to 131 computations (68.6% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 y (/.f64 y x))
0.1b	(*.f64 1/6 (/.f64 (pow.f64 y 3) x))
5.3b	(-.f64 (+.f64 (/.f64 1 x) (.f64 1/2 (.f64 y (/.f64 y x)))) (+.f64 (/.f64 y x) (*.f64 1/6 (/.f64 (pow.f64 y 3) x))))
6.2b	(/.f64 (pow.f64 y 3) x)

rewrite427.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

86×	`times-frac_binary64_13042`
81×	`add-sqr-sqrt_binary64_13058`
63×	`*-un-lft-identity_binary64_13036`
61×	`add-cube-cbrt_binary64_13071`
53×	`associate-r_binary64_12976`
24×	`add-exp-log_binary64_13074`
22×	`unpow-prod-down_binary64_13115` `cube-prod_binary64_13064`
16×	`add-log-exp_binary64_13075` `add-cbrt-cube_binary64_13072`
14×	`associate-*r/_binary64_12978`
12×	`associate-/l*_binary64_12981`
9×	`frac-sub_binary64_13045`
8×	`pow1_binary64_13097` `sqr-pow_binary64_13008` `frac-add_binary64_13044`
7×	`div-exp_binary64_13087` `unpow3_binary64_13102` `cube-mult_binary64_13066` `unswap-sqr_binary64_13004`
6×	`flip3-+_binary64_13039` `flip-+_binary64_13010` `prod-exp_binary64_13085` `associate-l_binary64_12977`
4×	`sum-log_binary64_13127` `diff-log_binary64_13128` `cbrt-unprod_binary64_13069`
3×	`cbrt-undiv_binary64_13070` `div-inv_binary64_13033` `associate-/r*_binary64_12980` `cancel-sign-sub-inv_binary64_13002`
2×	`pow-to-exp_binary64_13105` `pow-exp_binary64_13104` `pow-prod-down_binary64_13107` `*-commutative_binary64_12967`
1×	`frac-2neg_binary64_13047` `clear-num_binary64_13035` `sub-div_binary64_13043` `flip3--_binary64_13040` `sub-neg_binary64_13029` `flip--_binary64_13011` `difference-of-squares_binary64_13005` `distribute-lft-out--_binary64_12988` `associate--l+_binary64_12973` `associate--r+_binary64_12972`

Counts

4 → 192

Calls

4 calls:

18.0ms	(*.f64 1/6 (/.f64 (pow.f64 y 3) x))
18.0ms	(-.f64 (+.f64 (/.f64 1 x) (.f64 1/2 (.f64 y (/.f64 y x)))) (+.f64 (/.f64 y x) (*.f64 1/6 (/.f64 (pow.f64 y 3) x))))
8.0ms	(*.f64 y (/.f64 y x))
6.0ms	(/.f64 (pow.f64 y 3) x)

Compiler

Compiled 6799 to 3598 computations (47.1% saved)

series556.0ms (7.5%)

Error

Counts

4 → 33

Calls

4 calls:

200.0ms	(-.f64 (+.f64 (/.f64 1 x) (.f64 1/2 (.f64 y (/.f64 y x)))) (+.f64 (/.f64 y x) (*.f64 1/6 (/.f64 (pow.f64 y 3) x))))
120.0ms	(*.f64 1/6 (/.f64 (pow.f64 y 3) x))
107.0ms	(/.f64 (pow.f64 y 3) x)
92.0ms	(*.f64 y (/.f64 y x))

Compiler

Compiled 1753 to 1234 computations (29.6% saved)

simplify127.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

225 → 225

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4937	4446
1	4937	4446

prune365.0ms (4.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	225	0	225
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	225	5	230

Error

Counts

230 → 5

Compiler

Compiled 6783 to 3382 computations (50.1% saved)

regimes510.0ms (6.8%)

Accuracy

Total 0.4b remaining (95.4%)

Threshold costs 0.4b (95.4%)

Compiler

Compiled 2744 to 1737 computations (36.7% saved)

bsearch68.0ms (0.9%)

Steps

Iters	Range		Point
10	8.738804090705715e-13	4.619368253140821	0.4586887196655391
7	-5.540770461868965e+22	-2.2840129458104726e+21	-2.3049130861507487e+21

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	29
1	26	29

end0.0ms (0%)

sample3.1s (41.9%)

Algorithm

1×

intervals

Results

741.0ms	1671×	body	1024	valid
315.0ms	4613×	body	128	valid
274.0ms	1022×	body	512	valid
115.0ms	145×	body	2048	valid
94.0ms	549×	body	256	valid
72.0ms	181×	body	1024	invalid
58.0ms	235×	body	512	invalid
25.0ms	147×	body	256	invalid
14.0ms	193×	body	128	invalid
9.0ms	193×	body	128	nan

Compiler

Compiled 981 to 623 computations (36.5% saved)

Details

analyze945.0ms (12.7%)

sample65.0ms (0.9%)

simplify74.0ms (1%)

prune6.0ms (0.1%)

localize10.0ms (0.1%)

rewrite210.0ms (2.8%)

series370.0ms (5%)

simplify125.0ms (1.7%)

prune171.0ms (2.3%)

localize4.0ms (0.1%)

rewrite1.0ms (0%)

series1.0ms (0%)

simplify17.0ms (0.2%)

prune8.0ms (0.1%)

localize8.0ms (0.1%)

rewrite27.0ms (0.4%)

series89.0ms (1.2%)

simplify81.0ms (1.1%)

prune27.0ms (0.4%)

localize28.0ms (0.4%)

rewrite427.0ms (5.7%)

series556.0ms (7.5%)

simplify127.0ms (1.7%)

prune365.0ms (4.9%)

regimes510.0ms (6.8%)

bsearch68.0ms (0.9%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample3.1s (41.9%)

Profiling