Details

analyze21.0ms (0.9%)

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)

sample13.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify13.0ms (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 2 expressions with local error:

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

rewrite107.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

49×	`*-un-lft-identity_binary64`
30×	`add-sqr-sqrt_binary64`
29×	`times-frac_binary64`
14×	`add-cube-cbrt_binary64`
8×	`distribute-lft-out_binary64`

Counts

2 → 67

Calls

2 calls:

31.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
6.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 1026 to 790 computations (23% saved)

series44.0ms (1.9%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

16.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
11.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 581 to 469 computations (19.3% saved)

simplify116.0ms (5%)

Algorithm

1×	egg-herbie

Rules

464×	`associate-/r*_binary64`
454×	`cancel-sign-sub-inv_binary64`
347×	`distribute-rgt-in_binary64`
234×	`associate-/l/_binary64`
227×	`distribute-lft-in_binary64`

Counts

91 → 79

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1342
1	288	1291
2	720	1281
3	2014	1277
4	4535	1277
5	4986	1277
6	4947	1277

prune53.0ms (2.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	2	80

Error

Counts

80 → 2

Alt Table

Status	Error	Program
	16.1b	(/.f64 (+.f64 (+.f64 x 1) (-.f64 (.f64 x x) x)) (+.f64 -1 (.f64 x x)))
▶	0.0b	(+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 -1 x))) (cbrt.f64 (/.f64 1 (+.f64 -1 x)))) (cbrt.f64 (/.f64 1 (+.f64 -1 x)))) (/.f64 x (+.f64 x 1)))

Status

Error

Program

16.1b

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

▶

0.0b

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

Compiler

Compiled 827 to 600 computations (27.4% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (/.f64 1 (+.f64 -1 x))) (cbrt.f64 (/.f64 1 (+.f64 -1 x))))
0.3b	(cbrt.f64 (/.f64 1 (+.f64 -1 x)))
0.3b	(cbrt.f64 (/.f64 1 (+.f64 -1 x)))
0.3b	(cbrt.f64 (/.f64 1 (+.f64 -1 x)))

rewrite294.0ms (12.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

166×	`cbrt-prod_binary64`
138×	`*-un-lft-identity_binary64`
112×	`times-frac_binary64`
108×	`add-sqr-sqrt_binary64`
68×	`add-cube-cbrt_binary64`

Counts

4 → 189

Calls

4 calls:

29.0ms	(*.f64 (cbrt.f64 (/.f64 1 (+.f64 -1 x))) (cbrt.f64 (/.f64 1 (+.f64 -1 x))))
5.0ms	(cbrt.f64 (/.f64 1 (+.f64 -1 x)))
5.0ms	(cbrt.f64 (/.f64 1 (+.f64 -1 x)))
5.0ms	(cbrt.f64 (/.f64 1 (+.f64 -1 x)))

Compiler

Compiled 5576 to 4638 computations (16.8% saved)

series124.0ms (5.4%)

Error

Counts

4 → 30

Calls

4 calls:

29.0ms	(*.f64 (cbrt.f64 (/.f64 1 (+.f64 -1 x))) (cbrt.f64 (/.f64 1 (+.f64 -1 x))))
18.0ms	(cbrt.f64 (/.f64 1 (+.f64 -1 x)))
17.0ms	(cbrt.f64 (/.f64 1 (+.f64 -1 x)))
16.0ms	(cbrt.f64 (/.f64 1 (+.f64 -1 x)))

Compiler

Compiled 2351 to 1984 computations (15.6% saved)

simplify203.0ms (8.8%)

Algorithm

1×	egg-herbie

Rules

749×	`unswap-sqr_binary64`
424×	`associate-l_binary64`
346×	`associate-r_binary64`
188×	`distribute-lft-out_binary64`
182×	`times-frac_binary64`

Counts

219 → 173

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	4879
1	340	4726
2	811	4451
3	2228	4425
4	5000	4425
5	4893	4425

prune146.0ms (6.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	173	2	175

Error

Counts

175 → 2

Alt Table

Status	Error	Program
▶	16.1b	(/.f64 (+.f64 (+.f64 x 1) (-.f64 (.f64 x x) x)) (+.f64 -1 (.f64 x x)))
✓	0.0b	(+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 -1 x))) (cbrt.f64 (/.f64 1 (+.f64 -1 x)))) (cbrt.f64 (/.f64 1 (+.f64 -1 x)))) (/.f64 x (+.f64 x 1)))

Status

Error

Program

▶

16.1b

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

✓

0.0b

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

Compiler

Compiled 3350 to 2718 computations (18.9% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 -1 (*.f64 x x))
0.0b	(-.f64 (*.f64 x x) x)
0.0b	(+.f64 (+.f64 x 1) (-.f64 (*.f64 x x) x))
15.6b	(/.f64 (+.f64 (+.f64 x 1) (-.f64 (.f64 x x) x)) (+.f64 -1 (.f64 x x)))

rewrite131.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`*-un-lft-identity_binary64`
20×	`add-log-exp_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64`
15×	`distribute-lft-out_binary64`

Counts

4 → 97

Calls

4 calls:

14.0ms	(/.f64 (+.f64 (+.f64 x 1) (-.f64 (.f64 x x) x)) (+.f64 -1 (.f64 x x)))
11.0ms	(+.f64 (+.f64 x 1) (-.f64 (*.f64 x x) x))
4.0ms	(-.f64 (*.f64 x x) x)
3.0ms	(+.f64 -1 (*.f64 x x))

Compiler

Compiled 2493 to 1095 computations (56.1% saved)

series65.0ms (2.8%)

Error

Counts

4 → 30

Calls

4 calls:

16.0ms	(/.f64 (+.f64 (+.f64 x 1) (-.f64 (.f64 x x) x)) (+.f64 -1 (.f64 x x)))
10.0ms	(-.f64 (*.f64 x x) x)
10.0ms	(+.f64 -1 (*.f64 x x))
9.0ms	(+.f64 (+.f64 x 1) (-.f64 (*.f64 x x) x))

Compiler

Compiled 736 to 549 computations (25.4% saved)

simplify88.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

571×	`associate-+l+_binary64`
218×	`associate-/r*_binary64`
212×	`distribute-rgt-in_binary64`
189×	`distribute-lft-in_binary64`
168×	`associate-/l*_binary64`

Counts

127 → 100

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	2709
1	484	2550
2	1807	2519
3	5103	2519

prune79.0ms (3.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	100	2	102

Error

Counts

102 → 2

Alt Table

Status	Error	Program
	16.1b	(/.f64 (+.f64 (+.f64 x 1) (-.f64 (.f64 x x) x)) (+.f64 -1 (.f64 x x)))
	0.0b	(+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (+.f64 -1 x))) (cbrt.f64 (/.f64 1 (+.f64 -1 x)))) (cbrt.f64 (/.f64 1 (+.f64 -1 x)))) (/.f64 x (+.f64 x 1)))

Status

Error

Program

16.1b

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

0.0b

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

Compiler

Compiled 1812 to 915 computations (49.5% saved)

regimes277.0ms (12%)

Accuracy

Total 0.0b remaining (62.3%)

Threshold costs 0.0b (62.3%)

Compiler

Compiled 4300 to 3217 computations (25.2% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	17	20
2	18	20
3	16	20

end1.0ms (0%)

Compiler: Compiled 14 to 11 computations (21.4% saved)

sample499.0ms (21.6%)

Algorithm

1×

intervals

Results

233.0ms

8000×

body

128

valid

Compiler

Compiled 71 to 53 computations (25.4% saved)

Details

analyze21.0ms (0.9%)

sample13.0ms (0.6%)

simplify13.0ms (0.5%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite107.0ms (4.6%)

series44.0ms (1.9%)

simplify116.0ms (5%)

prune53.0ms (2.3%)

localize11.0ms (0.5%)

rewrite294.0ms (12.8%)

series124.0ms (5.4%)

simplify203.0ms (8.8%)

prune146.0ms (6.3%)

localize8.0ms (0.3%)

rewrite131.0ms (5.7%)

series65.0ms (2.8%)

simplify88.0ms (3.8%)

prune79.0ms (3.4%)

regimes277.0ms (12%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample499.0ms (21.6%)

Profiling