Details

analyze64.0ms (4.7%)

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
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample13.0ms (1%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify10.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
2	6	7

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Alt Table

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite50.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
4×	`associate-/r*_binary64`

Counts

1 → 33

Calls

1 calls:

4.0ms

(/.f64 x (+.f64 x y))

Compiler

Compiled 358 to 101 computations (71.8% saved)

series28.0ms (2%)

Error

0.0b

Counts

1 → 21

Calls

1 calls:

23.0ms

(/.f64 x (+.f64 x y))

Compiler

Compiled 423 to 299 computations (29.3% saved)

simplify72.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

626×	`associate-/l*_binary64`
423×	`associate-/r*_binary64`
412×	`div-sub_binary64`
376×	`associate-/l/_binary64`
375×	`associate-*l/_binary64`

Counts

54 → 24

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	776
1	165	746
2	417	710
3	1256	704
4	4581	704
5	5413	704

prune7.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	3	25

Error

0.0b

Counts

25 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))
▶	1.2b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (+.f64 x y)))
	30.8b	(-.f64 1 (*.f64 (/.f64 y x) (-.f64 1 (/.f64 y x))))

Compiler

Compiled 172 to 80 computations (53.5% saved)

localize13.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite31.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`

Counts

4 → 73

Calls

4 calls:

4.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1149 to 233 computations (79.7% saved)

series56.0ms (4.1%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

16.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
13.0ms	(cbrt.f64 x)
12.0ms	(cbrt.f64 x)
12.0ms	(cbrt.f64 x)

Compiler

Compiled 518 to 322 computations (37.8% saved)

simplify89.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

735×	`log-prod_binary64`
577×	`distribute-rgt-in_binary64`
538×	`distribute-lft-in_binary64`
525×	`unswap-sqr_binary64`
287×	`associate-l_binary64`

Counts

85 → 64

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	624
1	94	576
2	292	556
3	763	542
4	1759	418
5	4280	418
6	4543	418
7	4810	418

prune14.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	63	4	67

Error

0.0b

Counts

67 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))
	34.1b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6)) (+.f64 x y)))
✓	1.2b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (+.f64 x y)))
▶	30.8b	(-.f64 1 (*.f64 (/.f64 y x) (-.f64 1 (/.f64 y x))))

Compiler

Compiled 526 to 202 computations (61.6% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.1b	(*.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))

rewrite45.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
27×	`*-un-lft-identity_binary64`
26×	`cancel-sign-sub-inv_binary64`
23×	`add-cube-cbrt_binary64`

Counts

1 → 69

Calls

1 calls:

11.0ms

(*.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))

Compiler

Compiled 1439 to 618 computations (57.1% saved)

series26.0ms (1.9%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

25.0ms

(*.f64 (/.f64 y x) (-.f64 1 (/.f64 y x)))

Compiler

Compiled 271 to 202 computations (25.5% saved)

simplify91.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

849×	`times-frac_binary64`
273×	`exp-prod_binary64`
264×	`distribute-rgt-in_binary64`
204×	`distribute-lft-in_binary64`
185×	`distribute-rgt-neg-out_binary64`

Counts

81 → 66

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	157	1509
1	490	1394
2	1726	1289
3	4330	1263
4	4993	1263

prune14.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	66	4	70

Error

0.0b

Counts

70 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))
▶	34.1b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6)) (+.f64 x y)))
✓	1.2b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (+.f64 x y)))
✓	30.8b	(-.f64 1 (*.f64 (/.f64 y x) (-.f64 1 (/.f64 y x))))

Compiler

Compiled 585 to 279 computations (52.3% saved)

localize12.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
2.1b	(pow.f64 x 1/6)
2.1b	(pow.f64 x 1/6)

rewrite33.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
6×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`

Counts

4 → 56

Calls

4 calls:

2.0ms	(pow.f64 x 1/6)
2.0ms	(pow.f64 x 1/6)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1168 to 564 computations (51.7% saved)

series52.0ms (3.9%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt.f64 x)
14.0ms	(cbrt.f64 x)
10.0ms	(pow.f64 x 1/6)
10.0ms	(pow.f64 x 1/6)

Compiler

Compiled 665 to 450 computations (32.3% saved)

simplify69.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

687×	`log-prod_binary64`
370×	`log-div_binary64`
313×	`cancel-sign-sub-inv_binary64`
292×	`exp-sum_binary64`
263×	`distribute-neg-in_binary64`

Counts

68 → 38

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	442
1	96	422
2	222	406
3	734	398
4	2444	398
5	4690	398
6	5442	398

prune14.0ms (1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	38	4	42

Error

0.0b

Counts

42 → 4

Alt Table

Status	Error	Program
	0.0b	(/.f64 x (+.f64 x y))
	34.1b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6)) (+.f64 x y)))
	1.2b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (+.f64 x y)))
	30.8b	(-.f64 1 (*.f64 (/.f64 y x) (-.f64 1 (/.f64 y x))))

Compiler

Compiled 442 to 229 computations (48.2% saved)

regimes60.0ms (4.5%)

Accuracy

Total 0.0b remaining (43.3%)

Threshold costs 0.0b (43.3%)

Compiler

Compiled 887 to 481 computations (45.8% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
2	6	7

end3.0ms (0.2%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

sample471.0ms (34.9%)

Algorithm

1×

intervals

Results

223.0ms

8000×

body

128

valid

Compiler

Compiled 70 to 42 computations (40% saved)

Details

analyze64.0ms (4.7%)

sample13.0ms (1%)

simplify10.0ms (0.7%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

rewrite50.0ms (3.7%)

series28.0ms (2%)

simplify72.0ms (5.4%)

prune7.0ms (0.5%)

localize13.0ms (0.9%)

rewrite31.0ms (2.3%)

series56.0ms (4.1%)

simplify89.0ms (6.6%)

prune14.0ms (1%)

localize5.0ms (0.4%)

rewrite45.0ms (3.3%)

series26.0ms (1.9%)

simplify91.0ms (6.8%)

prune14.0ms (1%)

localize12.0ms (0.9%)

rewrite33.0ms (2.5%)

series52.0ms (3.9%)

simplify69.0ms (5.1%)

prune14.0ms (1%)

regimes60.0ms (4.5%)

simplify3.0ms (0.2%)

end3.0ms (0.2%)

sample471.0ms (34.9%)

Profiling