Details

analyze166.0ms (8.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample23.0ms (1.2%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify74.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

530×	`div-sub_binary64`
326×	`times-frac_binary64`
174×	`associate-/l/_binary64`
166×	`sub-neg_binary64`
160×	`associate-/l*_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	21	10
3	35	10
4	59	10
5	105	10
6	198	10
7	371	10
8	664	10
9	998	10
10	1100	10
11	1117	10
12	1088	10
13	1095	10
14	1097	10
15	1105	10
16	1105	10
17	1003	10

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

62.0b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	62.0b	(/.f64 (-.f64 x lo) (-.f64 hi lo))

Compiler

Compiled 20 to 12 computations (40% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

62.0b

(/.f64 (-.f64 x lo) (-.f64 hi lo))

rewrite24.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

62.0b

Rules

37×	`*-un-lft-identity_binary64`
37×	`add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
12×	`distribute-lft-out--_binary64`

Counts

1 → 52

Calls

1 calls:

6.0ms

(/.f64 (-.f64 x lo) (-.f64 hi lo))

Compiler

Compiled 683 to 156 computations (77.2% saved)

series22.0ms (1.1%)

Error

51.8b

Counts

1 → 10

Calls

1 calls:

14.0ms

(/.f64 (-.f64 x lo) (-.f64 hi lo))

Compiler

Compiled 304 to 187 computations (38.5% saved)

simplify78.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

657×	`unsub-neg_binary64`
439×	`times-frac_binary64`
413×	`associate-/l*_binary64`
381×	`distribute-rgt-in_binary64`
358×	`distribute-lft-in_binary64`

Counts

62 → 24

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	1106
1	263	1061
2	599	1055
3	1457	1055
4	4195	1055
5	5090	1055

prune10.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	2	25

Error

51.9b

Counts

25 → 2

Alt Table

Status	Error	Program
▶	52.0b	(-.f64 1 (/.f64 x lo))
	58.7b	(+.f64 (/.f64 (.f64 lo x) (.f64 hi hi)) (/.f64 (-.f64 x lo) hi))

Compiler

Compiled 269 to 99 computations (63.2% saved)

localize3.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

51.9b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 51.9b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune2.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	0	0
Total	2	2

Error

51.9b

Counts

2 → 2

Alt Table

Status	Error	Program
✓	52.0b	(-.f64 1 (/.f64 x lo))
▶	58.7b	(+.f64 (/.f64 (.f64 lo x) (.f64 hi hi)) (/.f64 (-.f64 x lo) hi))

Compiler

Compiled 40 to 24 computations (40% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x lo) hi)
0.0b	(+.f64 (/.f64 (.f64 lo x) (.f64 hi hi)) (/.f64 (-.f64 x lo) hi))
35.3b	(/.f64 (.f64 lo x) (.f64 hi hi))

rewrite51.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

51.8b

Rules

23×	`*-un-lft-identity_binary64`
21×	`add-sqr-sqrt_binary64`
17×	`add-cbrt-cube_binary64`
17×	`add-exp-log_binary64`
16×	`times-frac_binary64`

Counts

3 → 73

Calls

3 calls:

12.0ms	(+.f64 (/.f64 (.f64 lo x) (.f64 hi hi)) (/.f64 (-.f64 x lo) hi))
4.0ms	(/.f64 (.f64 lo x) (.f64 hi hi))
4.0ms	(/.f64 (-.f64 x lo) hi)

Compiler

Compiled 1450 to 276 computations (81% saved)

series73.0ms (3.6%)

Error

51.8b

Counts

3 → 34

Calls

3 calls:

29.0ms	(+.f64 (/.f64 (.f64 lo x) (.f64 hi hi)) (/.f64 (-.f64 x lo) hi))
22.0ms	(/.f64 (.f64 lo x) (.f64 hi hi))
16.0ms	(/.f64 (-.f64 x lo) hi)

Compiler

Compiled 1134 to 657 computations (42.1% saved)

simplify83.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

830×	`associate-/l*_binary64`
555×	`associate-*l/_binary64`
381×	`associate-/r*_binary64`
304×	`distribute-rgt-in_binary64`
273×	`distribute-lft-in_binary64`

Counts

107 → 57

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	1560
1	395	1483
2	1294	1480
3	4928	1480
4	4972	1480

prune20.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	50	7	57
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	51	8	59

Error

51.8b

Counts

59 → 8

Alt Table

Status	Error	Program
	58.7b	(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 lo x) (.f64 hi hi)) 3) (pow.f64 (/.f64 (-.f64 x lo) hi) 3)) (+.f64 (.f64 (/.f64 (.f64 lo x) (pow.f64 hi 4)) (.f64 lo x)) (.f64 (/.f64 (-.f64 x lo) hi) (-.f64 (/.f64 (-.f64 x lo) hi) (/.f64 (.f64 lo x) (.f64 hi hi))))))
✓	52.0b	(-.f64 1 (/.f64 x lo))
▶	52.0b	(*.f64 (/.f64 lo hi) (+.f64 (/.f64 x hi) -1))
	58.7b	(+.f64 (/.f64 (.f64 lo x) (.f64 hi hi)) (*.f64 (sqrt.f64 (-.f64 x lo)) (/.f64 (sqrt.f64 (-.f64 x lo)) hi)))
	58.7b	(+.f64 (/.f64 (.f64 lo x) (.f64 hi hi)) (.f64 (.f64 (cbrt.f64 (-.f64 x lo)) (cbrt.f64 (-.f64 x lo))) (/.f64 (cbrt.f64 (-.f64 x lo)) hi)))
	58.7b	(/.f64 (+.f64 (.f64 (/.f64 (.f64 lo x) (pow.f64 hi 4)) (.f64 lo x)) (.f64 (/.f64 (-.f64 x lo) hi) (/.f64 (-.f64 lo x) hi))) (+.f64 (/.f64 (.f64 lo x) (.f64 hi hi)) (/.f64 (-.f64 lo x) hi)))
	58.7b	(cbrt.f64 (pow.f64 (+.f64 (/.f64 (.f64 lo x) (.f64 hi hi)) (/.f64 (-.f64 x lo) hi)) 3))
	52.0b	(+.f64 (/.f64 lo (/.f64 hi (/.f64 x hi))) (/.f64 (-.f64 x lo) hi))

Compiler

Compiled 851 to 312 computations (63.3% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite34.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

51.8b

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
11×	`times-frac_binary64`
11×	`*-un-lft-identity_binary64`
9×	`add-cube-cbrt_binary64`

Counts

1 → 41

Calls

1 calls:

11.0ms

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

Compiler

Compiled 704 to 304 computations (56.8% saved)

series25.0ms (1.2%)

Error

51.8b

Counts

1 → 12

Calls

1 calls:

23.0ms

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

Compiler

Compiled 287 to 187 computations (34.8% saved)

simplify80.0ms (4%)

Algorithm

1×	egg-herbie

Rules

438×	`associate-*l/_binary64`
431×	`associate-l_binary64`
376×	`associate-*r/_binary64`
350×	`distribute-rgt-in_binary64`
349×	`associate-r_binary64`

Counts

53 → 47

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	896
1	359	811
2	1000	806
3	3514	806
4	4975	806
5	4971	806

prune26.0ms (1.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	38	9	47
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	42	13	55

Error

51.8b

Counts

55 → 13

Alt Table

Status	Error	Program
	52.0b	(.f64 (/.f64 1 (sqrt.f64 hi)) (.f64 (-.f64 (/.f64 x hi) 1) (/.f64 lo (sqrt.f64 hi))))
	52.0b	(-.f64 1 (/.f64 x lo))
	52.0b	(+.f64 (/.f64 lo (/.f64 hi (/.f64 x hi))) (/.f64 (-.f64 x lo) hi))
	52.0b	(.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) 1) (*.f64 (-.f64 (/.f64 x hi) 1) (/.f64 (cbrt.f64 lo) hi)))
	52.0b	(.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi)) (*.f64 (-.f64 (/.f64 x hi) 1) (/.f64 (cbrt.f64 lo) (sqrt.f64 hi))))
	52.0b	(.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (.f64 (cbrt.f64 hi) (cbrt.f64 hi))) (.f64 (-.f64 (/.f64 x hi) 1) (/.f64 (cbrt.f64 lo) (cbrt.f64 hi))))
	52.0b	(.f64 (.f64 (cbrt.f64 (/.f64 lo hi)) (cbrt.f64 (/.f64 lo hi))) (*.f64 (-.f64 (/.f64 x hi) 1) (cbrt.f64 (/.f64 lo hi))))
	52.0b	(.f64 (sqrt.f64 (/.f64 (.f64 lo (-.f64 (/.f64 x hi) 1)) hi)) (sqrt.f64 (/.f64 (*.f64 lo (-.f64 (/.f64 x hi) 1)) hi)))
	52.0b	(cbrt.f64 (pow.f64 (/.f64 (*.f64 lo (-.f64 (/.f64 x hi) 1)) hi) 3))
	58.7b	(+.f64 (/.f64 (.f64 lo x) (.f64 hi hi)) (*.f64 (sqrt.f64 (-.f64 x lo)) (/.f64 (sqrt.f64 (-.f64 x lo)) hi)))
	52.0b	(*.f64 lo (/.f64 (-.f64 (/.f64 x hi) 1) hi))
	58.7b	(/.f64 (+.f64 (.f64 (/.f64 (.f64 lo x) (pow.f64 hi 4)) (.f64 lo x)) (.f64 (/.f64 (-.f64 x lo) hi) (/.f64 (-.f64 lo x) hi))) (+.f64 (/.f64 (.f64 lo x) (.f64 hi hi)) (/.f64 (-.f64 lo x) hi)))
	52.0b	(.f64 (/.f64 1 (.f64 (cbrt.f64 hi) (cbrt.f64 hi))) (*.f64 (-.f64 (/.f64 x hi) 1) (/.f64 lo (cbrt.f64 hi))))

Compiler

Compiled 840 to 401 computations (52.3% saved)

regimes328.0ms (16.2%)

Accuracy

Total 0.2b remaining (0.3%)

Threshold costs 0.2b (0.3%)

Compiler

Compiled 6726 to 3544 computations (47.3% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	16	13
3	14	13

end0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

sample866.0ms (42.8%)

Algorithm

1×

intervals

Results

233.0ms	8000×	body	128	valid
180.0ms	8000×	pre	128	true

Compiler

Compiled 301 to 176 computations (41.5% saved)

Details

analyze166.0ms (8.2%)

sample23.0ms (1.2%)

simplify74.0ms (3.7%)

prune1.0ms (0.1%)

localize5.0ms (0.3%)

rewrite24.0ms (1.2%)

series22.0ms (1.1%)

simplify78.0ms (3.8%)

prune10.0ms (0.5%)

localize3.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify9.0ms (0.4%)

prune2.0ms (0.1%)

localize8.0ms (0.4%)

rewrite51.0ms (2.5%)

series73.0ms (3.6%)

simplify83.0ms (4.1%)

prune20.0ms (1%)

localize6.0ms (0.3%)

rewrite34.0ms (1.7%)

series25.0ms (1.2%)

simplify80.0ms (4%)

prune26.0ms (1.3%)

regimes328.0ms (16.2%)

simplify5.0ms (0.3%)

end0.0ms (0%)

sample866.0ms (42.8%)

Profiling