Details

analyze152.0ms (8.5%)

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
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	46.8%	28.2%	7
31.2%	35.9%	32.9%	8
39%	25%	36%	9
42.9%	18.7%	38.3%	10
47.2%	12.9%	39.9%	11
49.4%	9.6%	41.1%	12
51.6%	6.5%	41.9%	13
52.7%	4.8%	42.4%	14

Compiler

Compiled 16 to 10 computations (37.5% saved)

sample22.0ms (1.2%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 33 to 21 computations (36.4% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
7×	`+-commutative_binary64`
3×	`associate-l_binary64` `associate-r_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
2×	`distribute-rgt-out_binary64` `distribute-lft-out_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	18	16
2	36	16
3	38	16
4	38	16

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x 2) y)) (.f64 y y))

Compiler

Compiled 43 to 26 computations (39.5% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite38.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
2×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3-+_binary64` `*-un-lft-identity_binary64` `flip-+_binary64` `+-commutative_binary64`
1×	`associate-+l+_binary64`

Counts

2 → 24

Calls

2 calls:

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

Compiler

Compiled 600 to 276 computations (54% saved)

series72.0ms (4%)

Error

0.0b

Counts

2 → 30

Calls

2 calls:

34.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x 2) y)) (.f64 y y))
26.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 x 2) y))

Compiler

Compiled 584 to 401 computations (31.3% saved)

simplify63.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

720×	`associate-l_binary64`
651×	`cancel-sign-sub-inv_binary64`
576×	`associate-r_binary64`
406×	`unswap-sqr_binary64`
325×	`distribute-rgt-in_binary64`

Counts

54 → 45

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	894
1	202	756
2	748	744
3	3285	744
4	4971	744

prune23.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Error

Counts

46 → 3

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x 2) y)) (.f64 y y))
	36.6b	(cbrt.f64 (pow.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 y (*.f64 2 x)))) 3))
▶	0.0b	(+.f64 (.f64 x x) (.f64 y (+.f64 y (*.f64 2 x))))

Compiler

Compiled 444 to 250 computations (43.7% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite23.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

5×	`add-sqr-sqrt_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-l_binary64` `associate-r*_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `flip3-+_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

6.0ms

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

Compiler

Compiled 382 to 209 computations (45.3% saved)

series30.0ms (1.6%)

Error

Counts

1 → 12

Calls

1 calls:

26.0ms

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

Compiler

Compiled 271 to 175 computations (35.4% saved)

simplify78.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

513×	`distribute-rgt-out_binary64`
512×	`unswap-sqr_binary64`
429×	`associate-l_binary64`
349×	`associate-+l+_binary64`
319×	`associate-r_binary64`

Counts

34 → 28

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	421
1	145	379
2	509	379
3	1619	379
4	3239	379
5	4924	379
6	4967	379

prune15.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	28	3	31

Error

Counts

31 → 3

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x 2) y)) (.f64 y y))
▶	36.6b	(cbrt.f64 (pow.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 y (*.f64 2 x)))) 3))
✓	0.0b	(+.f64 (.f64 x x) (.f64 y (+.f64 y (*.f64 2 x))))

Compiler

Compiled 376 to 140 computations (62.8% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 y (+.f64 y (.f64 2 x)))
0.2b	(pow.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 y (*.f64 2 x)))) 3)
34.9b	(cbrt.f64 (pow.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 y (*.f64 2 x)))) 3))

rewrite73.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64`
12×	`cbrt-prod_binary64`
11×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
4×	`cube-div_binary64`

Counts

3 → 70

Calls

3 calls:

6.0ms	(pow.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 y (*.f64 2 x)))) 3)
5.0ms	(.f64 y (+.f64 y (.f64 2 x)))
4.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 y (*.f64 2 x)))) 3))

Compiler

Compiled 1563 to 931 computations (40.4% saved)

series115.0ms (6.4%)

Error

Counts

3 → 54

Calls

3 calls:

38.0ms	(pow.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 y (*.f64 2 x)))) 3)
38.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 y (*.f64 2 x)))) 3))
26.0ms	(.f64 y (+.f64 y (.f64 2 x)))

Compiler

Compiled 1255 to 944 computations (24.8% saved)

simplify114.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

700×	`distribute-rgt-in_binary64`
679×	`distribute-lft-in_binary64`
328×	`unswap-sqr_binary64`
185×	`exp-prod_binary64`
170×	`associate-r_binary64`

Counts

124 → 99

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	2625
1	390	2394
2	1416	2360
3	4719	2360
4	4966	2360

prune38.0ms (2.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	99	3	102

Error

Counts

102 → 3

Alt Table

Status	Error	Program
	0.0b	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x 2) y)) (.f64 y y))
	36.6b	(cbrt.f64 (pow.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 y (*.f64 2 x)))) 3))
	0.0b	(+.f64 (.f64 x x) (.f64 y (+.f64 y (*.f64 2 x))))

Compiler

Compiled 858 to 520 computations (39.4% saved)

regimes122.0ms (6.8%)

Accuracy

Total 0.0b remaining (45.5%)

Threshold costs 0.0b (45.5%)

Compiler

Compiled 1265 to 807 computations (36.2% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64` `+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	14	19
2	14	19

end6.0ms (0.4%)

Compiler: Compiled 45 to 27 computations (40% saved)

sample778.0ms (43.3%)

Algorithm

1×

intervals

Results

260.0ms	8000×	body	128	valid
6.0ms	181×	body	128	invalid

Compiler

Compiled 77 to 49 computations (36.4% saved)

Details

analyze152.0ms (8.5%)

sample22.0ms (1.2%)

simplify8.0ms (0.5%)

prune3.0ms (0.2%)

localize7.0ms (0.4%)

rewrite38.0ms (2.1%)

series72.0ms (4%)

simplify63.0ms (3.5%)

prune23.0ms (1.3%)

localize6.0ms (0.3%)

rewrite23.0ms (1.3%)

series30.0ms (1.6%)

simplify78.0ms (4.4%)

prune15.0ms (0.8%)

localize9.0ms (0.5%)

rewrite73.0ms (4%)

series115.0ms (6.4%)

simplify114.0ms (6.3%)

prune38.0ms (2.1%)

regimes122.0ms (6.8%)

simplify3.0ms (0.1%)

end6.0ms (0.4%)

sample778.0ms (43.3%)

Profiling