Details

analyze275.0ms (4.7%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	26
1	40	26
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	62.4%	12.6%	6
25%	40.6%	34.4%	7
25%	40.6%	34.4%	7
31.2%	25%	43.8%	8
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14
52.7%	3.5%	43.8%	14

Compiler

Compiled 24 to 18 computations (25% saved)

sample389.0ms (6.6%)

Algorithm

2×

intervals

Results

14.0ms	421×	body	128	invalid
14.0ms	512×	body	128	valid

Compiler

Compiled 5447 to 4991 computations (8.4% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	24	13
1	24	13

prune4.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 x 2))
0.0b	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))

rewrite49.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_13058` `*-un-lft-identity_binary64_13036`
4×	`add-log-exp_binary64_13075` `pow1_binary64_13097` `add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072` `add-cube-cbrt_binary64_13071` `associate-r_binary64_12976`
3×	`associate-l_binary64_12977`
2×	`flip3-+_binary64_13039` `flip-+_binary64_13010` `distribute-rgt-in_binary64_12986` `associate-+l+_binary64_12969` `distribute-lft-in_binary64_12985` `associate-*r/_binary64_12978`
1×	`sum-log_binary64_13127` `+-commutative_binary64_12966` `pow-prod-down_binary64_13107` `prod-exp_binary64_13085` `cbrt-unprod_binary64_13069` `unswap-sqr_binary64_13004` `distribute-lft-out_binary64_12987` `*-commutative_binary64_12967`

Counts

2 → 36

Calls

2 calls:

7.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
6.0ms	(*.f64 x (+.f64 x 2))

Compiler

Compiled 583 to 313 computations (46.3% saved)

series265.0ms (4.5%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

192.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
58.0ms	(*.f64 x (+.f64 x 2))

Compiler

Compiled 425 to 348 computations (18.1% saved)

simplify64.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5006	611

prune44.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	4	58

Error

Counts

58 → 4

Compiler

Compiled 701 to 368 computations (47.5% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y y))

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_13075`
1×	`sum-log_binary64_13127` `pow1_binary64_13097` `add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072` `add-cube-cbrt_binary64_13071` `add-sqr-sqrt_binary64_13058` `flip3-+_binary64_13039` `*-un-lft-identity_binary64_13036` `flip-+_binary64_13010` `+-commutative_binary64_12966`

Counts

1 → 11

Calls

1 calls:

6.0ms

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

Compiler

Compiled 178 to 40 computations (77.5% saved)

series142.0ms (2.4%)

Error

Counts

1 → 12

Calls

1 calls:

136.0ms

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

Compiler

Compiled 162 to 152 computations (6.2% saved)

simplify79.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4921	247
1	4921	247

prune17.0ms (0.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	23	4	27

Error

Counts

27 → 4

Compiler

Compiled 239 to 70 computations (70.7% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 x (+.f64 2 x))

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

5×	`add-sqr-sqrt_binary64_13058` `*-un-lft-identity_binary64_13036`
4×	`associate-r_binary64_12976`
3×	`pow1_binary64_13097` `add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072` `add-cube-cbrt_binary64_13071` `associate-l_binary64_12977`
2×	`associate-*r/_binary64_12978`
1×	`pow-prod-down_binary64_13107` `prod-exp_binary64_13085` `add-log-exp_binary64_13075` `cbrt-unprod_binary64_13069` `unswap-sqr_binary64_13004` `distribute-rgt-in_binary64_12986` `distribute-lft-in_binary64_12985` `flip3-+_binary64_13039` `flip-+_binary64_13010` `distribute-lft-out_binary64_12987` `*-commutative_binary64_12967`

Counts

1 → 23

Calls

1 calls:

6.0ms

(*.f64 x (+.f64 2 x))

Compiler

Compiled 249 to 167 computations (32.9% saved)

series62.0ms (1.1%)

Error

Counts

1 → 6

Calls

1 calls:

58.0ms

(*.f64 x (+.f64 2 x))

Compiler

Compiled 81 to 77 computations (4.9% saved)

simplify81.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4860	245
1	4860	245

prune22.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	29	4	33

Error

Counts

33 → 4

Compiler

Compiled 275 to 175 computations (36.4% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (*.f64 x (+.f64 2 x)) 3)
0.2b	(.f64 (.f64 x (+.f64 2 x)) (-.f64 (.f64 x (+.f64 2 x)) (.f64 y y)))
2.4b	(+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 2 x)) (-.f64 (.f64 x (+.f64 2 x)) (.f64 y y))))
39.6b	(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 2 x)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))))

rewrite351.0ms (6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`*-un-lft-identity_binary64_13036`
15×	`add-cube-cbrt_binary64_13071` `add-sqr-sqrt_binary64_13058`
14×	`add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072`
12×	`pow1_binary64_13097` `times-frac_binary64_13042` `distribute-rgt-in_binary64_12986` `distribute-lft-in_binary64_12985`
10×	`associate-*r/_binary64_12978`
8×	`associate-+r+_binary64_12968` `associate--l+_binary64_12973`
7×	`flip3-+_binary64_13039` `flip-+_binary64_13010`
6×	`add-log-exp_binary64_13075`
4×	`distribute-lft-out_binary64_12987` `associate-/l*_binary64_12981` `sub-neg_binary64_13029` `cancel-sign-sub-inv_binary64_13002` `pow-prod-down_binary64_13107` `prod-exp_binary64_13085` `cbrt-unprod_binary64_13069` `frac-times_binary64_13046`
3×	`associate-/r_binary64_12980` `flip3--_binary64_13040` `flip--_binary64_13011` `associate-r*_binary64_12976` `pow-unpow_binary64_13113`
2×	`associate-/l/_binary64_12983` `associate-/r/_binary64_12982` `associate-*l/_binary64_12979` `pow-pow_binary64_13108` `pow-exp_binary64_13104` `cube-div_binary64_13065` `rem-cube-cbrt_binary64_13059`
1×	`div-exp_binary64_13087` `cbrt-undiv_binary64_13070` `frac-2neg_binary64_13047` `clear-num_binary64_13035` `div-inv_binary64_13033` `sum-log_binary64_13127` `+-commutative_binary64_12966` `associate-l_binary64_12977` `*-commutative_binary64_12967` `unpow-prod-down_binary64_13115` `pow-to-exp_binary64_13105` `unpow3_binary64_13102` `cube-mult_binary64_13066` `cube-prod_binary64_13064` `sqr-pow_binary64_13008`

Counts

4 → 112

Calls

4 calls:

14.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 2 x)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))))
14.0ms	(.f64 (.f64 x (+.f64 2 x)) (-.f64 (.f64 x (+.f64 2 x)) (.f64 y y)))
6.0ms	(+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 2 x)) (-.f64 (.f64 x (+.f64 2 x)) (.f64 y y))))
6.0ms	(pow.f64 (*.f64 x (+.f64 2 x)) 3)

Compiler

Compiled 5348 to 3474 computations (35% saved)

series2.3s (38.4%)

Error

Counts

4 → 66

Calls

4 calls:

1.3s	(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 2 x)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 2 x)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))))
479.0ms	(+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 2 x)) (-.f64 (.f64 x (+.f64 2 x)) (.f64 y y))))
271.0ms	(.f64 (.f64 x (+.f64 2 x)) (-.f64 (.f64 x (+.f64 2 x)) (.f64 y y)))
66.0ms	(pow.f64 (*.f64 x (+.f64 2 x)) 3)

Compiler

Compiled 4980 to 3937 computations (20.9% saved)

simplify84.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5218	5682

prune417.0ms (7.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	178	4	182

Error

Counts

182 → 4

Compiler

Compiled 6759 to 4423 computations (34.6% saved)

regimes167.0ms (2.8%)

Accuracy

Total 0.0b remaining (56.4%)

Threshold costs 0.0b (56.4%)

Compiler

Compiled 1037 to 849 computations (18.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	11	13

end0.0ms (0%)

sample1.0s (17.6%)

Algorithm

1×

intervals

Results

226.0ms	8000×	body	128	valid
182.0ms	6355×	body	128	invalid

Compiler

Compiled 224 to 182 computations (18.8% saved)

Details

analyze275.0ms (4.7%)

sample389.0ms (6.6%)

simplify8.0ms (0.1%)

prune4.0ms (0.1%)

localize6.0ms (0.1%)

rewrite49.0ms (0.8%)

series265.0ms (4.5%)

simplify64.0ms (1.1%)

prune44.0ms (0.7%)

localize4.0ms (0.1%)

rewrite15.0ms (0.3%)

series142.0ms (2.4%)

simplify79.0ms (1.3%)

prune17.0ms (0.3%)

localize3.0ms (0.1%)

rewrite23.0ms (0.4%)

series62.0ms (1.1%)

simplify81.0ms (1.4%)

prune22.0ms (0.4%)

localize14.0ms (0.2%)

rewrite351.0ms (6%)

series2.3s (38.4%)

simplify84.0ms (1.4%)

prune417.0ms (7.1%)

regimes167.0ms (2.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.0s (17.6%)

Profiling