Details

analyze24.0ms (1.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample17.0ms (0.9%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify9.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	15	16
2	16	16
3	14	16

prune2.0ms (0.1%)

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 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Compiler

Compiled 36 to 27 computations (25% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 x (+.f64 x 1))
0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

rewrite102.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

67×	`*-un-lft-identity_binary64`
41×	`times-frac_binary64`
40×	`add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64`
12×	`distribute-lft-out_binary64`

Counts

3 → 100

Calls

3 calls:

29.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
4.0ms	(/.f64 1 (-.f64 x 1))
4.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 1550 to 1162 computations (25% saved)

series49.0ms (2.5%)

Error

0.0b

Counts

3 → 36

Calls

3 calls:

14.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
10.0ms	(/.f64 1 (-.f64 x 1))
9.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 871 to 701 computations (19.5% saved)

simplify121.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

431×	`distribute-rgt-in_binary64`
291×	`distribute-lft-in_binary64`
227×	`distribute-rgt-out_binary64`
216×	`times-frac_binary64`
203×	`sub-neg_binary64`

Counts

136 → 117

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	168	1899
1	396	1846
2	964	1835
3	2691	1823
4	4767	1823
5	4986	1823

prune57.0ms (2.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	2	118

Error

Counts

118 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
▶	0.1b	(/.f64 (+.f64 (pow.f64 (/.f64 1 (+.f64 -1 x)) 3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (+.f64 (/.f64 (/.f64 1 (+.f64 -1 x)) (+.f64 -1 x)) (*.f64 x (/.f64 (+.f64 (/.f64 x (+.f64 1 x)) (/.f64 -1 (+.f64 -1 x))) (+.f64 1 x)))))

Status

Error

Program

✓

0.0b

(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

▶

0.1b

(/.f64 (+.f64 (pow.f64 (/.f64 1 (+.f64 -1 x)) 3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (+.f64 (/.f64 (/.f64 1 (+.f64 -1 x)) (+.f64 -1 x)) (*.f64 x (/.f64 (+.f64 (/.f64 x (+.f64 1 x)) (/.f64 -1 (+.f64 -1 x))) (+.f64 1 x)))))

Compiler

Compiled 1344 to 965 computations (28.2% saved)

localize19.0ms (1%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (/.f64 x (+.f64 1 x)) 3)
0.1b	(/.f64 (/.f64 1 (+.f64 -1 x)) (+.f64 -1 x))
0.1b	(*.f64 x (/.f64 (+.f64 (/.f64 x (+.f64 1 x)) (/.f64 -1 (+.f64 -1 x))) (+.f64 1 x)))
0.1b	(pow.f64 (/.f64 1 (+.f64 -1 x)) 3)

rewrite370.0ms (18.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

307×	`*-un-lft-identity_binary64`
245×	`times-frac_binary64`
116×	`add-sqr-sqrt_binary64`
111×	`add-cube-cbrt_binary64`
90×	`distribute-lft-out_binary64`

Counts

4 → 288

Calls

4 calls:

31.0ms	(*.f64 x (/.f64 (+.f64 (/.f64 x (+.f64 1 x)) (/.f64 -1 (+.f64 -1 x))) (+.f64 1 x)))
12.0ms	(/.f64 (/.f64 1 (+.f64 -1 x)) (+.f64 -1 x))
8.0ms	(pow.f64 (/.f64 1 (+.f64 -1 x)) 3)
6.0ms	(pow.f64 (/.f64 x (+.f64 1 x)) 3)

Compiler

Compiled 10008 to 7801 computations (22.1% saved)

series110.0ms (5.6%)

Error

Counts

4 → 48

Calls

4 calls:

21.0ms	(/.f64 (/.f64 1 (+.f64 -1 x)) (+.f64 -1 x))
17.0ms	(*.f64 x (/.f64 (+.f64 (/.f64 x (+.f64 1 x)) (/.f64 -1 (+.f64 -1 x))) (+.f64 1 x)))
17.0ms	(pow.f64 (/.f64 x (+.f64 1 x)) 3)
16.0ms	(pow.f64 (/.f64 1 (+.f64 -1 x)) 3)

Compiler

Compiled 3671 to 2911 computations (20.7% saved)

simplify234.0ms (11.9%)

Algorithm

1×	egg-herbie

Rules

393×	`log-prod_binary64`
200×	`log-div_binary64`
191×	`sqr-pow_binary64`
187×	`associate-l_binary64`
172×	`associate-r_binary64`

Counts

336 → 278

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	353	6909
1	1007	6063
2	3317	5622
3	4442	5622
4	4961	5622

prune137.0ms (7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	278	0	278
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	278	2	280

Error

Counts

280 → 2

Alt Table

Status	Error	Program
	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
	0.1b	(/.f64 (+.f64 (pow.f64 (/.f64 1 (+.f64 -1 x)) 3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (+.f64 (/.f64 (/.f64 1 (+.f64 -1 x)) (+.f64 -1 x)) (*.f64 x (/.f64 (+.f64 (/.f64 x (+.f64 1 x)) (/.f64 -1 (+.f64 -1 x))) (+.f64 1 x)))))

Status

Error

Program

0.0b

(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

0.1b

(/.f64 (+.f64 (pow.f64 (/.f64 1 (+.f64 -1 x)) 3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (+.f64 (/.f64 (/.f64 1 (+.f64 -1 x)) (+.f64 -1 x)) (*.f64 x (/.f64 (+.f64 (/.f64 x (+.f64 1 x)) (/.f64 -1 (+.f64 -1 x))) (+.f64 1 x)))))

Compiler

Compiled 4678 to 3578 computations (23.5% saved)

regimes106.0ms (5.4%)

Accuracy

Total 0.0b remaining (4.2%)

Threshold costs 0.0b (4.2%)

Compiler

Compiled 2142 to 1639 computations (23.5% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	17	25
2	16	25

end1.0ms (0%)

Compiler: Compiled 18 to 13 computations (27.8% saved)

sample596.0ms (30.3%)

Algorithm

1×

intervals

Results

352.0ms

8000×

body

128

valid

Compiler

Compiled 88 to 67 computations (23.9% saved)

Details

analyze24.0ms (1.2%)

sample17.0ms (0.9%)

simplify9.0ms (0.5%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite102.0ms (5.2%)

series49.0ms (2.5%)

simplify121.0ms (6.1%)

prune57.0ms (2.9%)

localize19.0ms (1%)

rewrite370.0ms (18.8%)

series110.0ms (5.6%)

simplify234.0ms (11.9%)

prune137.0ms (7%)

regimes106.0ms (5.4%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample596.0ms (30.3%)

Profiling