Details

analyze189.0ms (10.9%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample22.0ms (1.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify80.0ms (4.6%)

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

prune2.0ms (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))

rewrite37.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

62.0b

Rules

37×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
25×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
12×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/l_binary64` `associate-/r_binary64`

Counts

1 → 52

Calls

1 calls:

13.0ms

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

Compiler

Compiled 683 to 156 computations (77.2% saved)

series33.0ms (1.9%)

Error

51.8b

Counts

1 → 10

Calls

1 calls:

20.0ms

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

Compiler

Compiled 304 to 187 computations (38.5% saved)

simplify83.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

661×	`unsub-neg_binary64`
431×	`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	106	1103
1	262	1061
2	600	1055
3	1457	1055
4	4197	1055
5	5103	1055

prune13.0ms (0.7%)

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
	58.6b	(+.f64 (/.f64 (.f64 lo x) (.f64 hi hi)) (/.f64 (-.f64 x lo) hi))
▶	52.0b	(-.f64 1 (/.f64 x lo))

Compiler

Compiled 269 to 99 computations (63.2% saved)

localize3.0ms (0.2%)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

51.9b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series1.0ms (0%)

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

simplify10.0ms (0.6%)

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
▶	58.6b	(+.f64 (/.f64 (.f64 lo x) (.f64 hi hi)) (/.f64 (-.f64 x lo) hi))
✓	52.0b	(-.f64 1 (/.f64 x lo))

Compiler

Compiled 40 to 24 computations (40% saved)

localize8.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 lo x) (.f64 hi hi)) (/.f64 (-.f64 x lo) hi))
35.0b	(/.f64 (.f64 lo x) (.f64 hi hi))

rewrite42.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

51.8b

Rules

14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`prod-exp_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `*-un-lft-identity_binary64`
2×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
1×	`frac-2neg_binary64` `times-frac_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-/r_binary64` `sum-log_binary64` `frac-add_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `div-sub_binary64` `associate-+r-_binary64` `+-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

14.0ms	(+.f64 (/.f64 (.f64 lo x) (.f64 hi hi)) (/.f64 (-.f64 x lo) hi))
6.0ms	(/.f64 (.f64 lo x) (.f64 hi hi))

Compiler

Compiled 758 to 135 computations (82.2% saved)

series84.0ms (4.8%)

Error

51.8b

Counts

2 → 22

Calls

2 calls:

42.0ms	(+.f64 (/.f64 (.f64 lo x) (.f64 hi hi)) (/.f64 (-.f64 x lo) hi))
35.0ms	(/.f64 (.f64 lo x) (.f64 hi hi))

Compiler

Compiled 715 to 443 computations (38% saved)

simplify103.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

785×	`associate-/l*_binary64`
474×	`associate-*l/_binary64`
386×	`associate-*r/_binary64`
341×	`associate-/r*_binary64`
237×	`distribute-rgt-in_binary64`

Counts

57 → 48

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	942
1	269	885
2	1035	879
3	4533	870
4	4889	870
5	5000	870
6	4964	870

prune29.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	41	7	48
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	42	8	50

Error

51.8b

Counts

50 → 8

Alt Table

Status	Error	Program
▶	52.0b	(neg.f64 (/.f64 lo hi))
	58.6b	(/.f64 (+.f64 (.f64 (/.f64 (.f64 x lo) (pow.f64 hi 4)) (.f64 x lo)) (.f64 (/.f64 (-.f64 x lo) hi) (/.f64 (-.f64 lo x) hi))) (+.f64 (/.f64 (.f64 x lo) (.f64 hi hi)) (/.f64 (-.f64 lo x) hi)))
	58.6b	(.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 x lo) (.f64 hi hi)) (/.f64 (-.f64 x lo) hi))) (sqrt.f64 (+.f64 (/.f64 (.f64 x lo) (*.f64 hi hi)) (/.f64 (-.f64 x lo) hi))))
	58.6b	(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 x lo) (.f64 hi hi)) (/.f64 (-.f64 x lo) hi))) (cbrt.f64 (+.f64 (/.f64 (.f64 x lo) (.f64 hi hi)) (/.f64 (-.f64 x lo) hi)))) (cbrt.f64 (+.f64 (/.f64 (.f64 x lo) (.f64 hi hi)) (/.f64 (-.f64 x lo) hi))))
	58.6b	(log.f64 (exp.f64 (+.f64 (/.f64 (.f64 x lo) (.f64 hi hi)) (/.f64 (-.f64 x lo) hi))))
	58.6b	(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 x lo) (.f64 hi hi)) 3) (pow.f64 (/.f64 (-.f64 x lo) hi) 3)) (+.f64 (.f64 (/.f64 (.f64 x lo) (pow.f64 hi 4)) (.f64 x lo)) (.f64 (/.f64 (-.f64 x lo) hi) (-.f64 (/.f64 (-.f64 x lo) hi) (/.f64 (.f64 x lo) (.f64 hi hi))))))
✓	52.0b	(-.f64 1 (/.f64 x lo))
	58.6b	(cbrt.f64 (pow.f64 (+.f64 (/.f64 (.f64 x lo) (.f64 hi hi)) (/.f64 (-.f64 x lo) hi)) 3))

Compiler

Compiled 893 to 282 computations (68.4% saved)

localize3.0ms (0.2%)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

51.8b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 51.8b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune6.0ms (0.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	1	1
Total	8	8

Error

51.8b

Counts

8 → 8

Alt Table

Status	Error	Program
	52.0b	(neg.f64 (/.f64 lo hi))
	58.6b	(/.f64 (+.f64 (.f64 (/.f64 (.f64 x lo) (pow.f64 hi 4)) (.f64 x lo)) (.f64 (/.f64 (-.f64 x lo) hi) (/.f64 (-.f64 lo x) hi))) (+.f64 (/.f64 (.f64 x lo) (.f64 hi hi)) (/.f64 (-.f64 lo x) hi)))
	58.6b	(.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 x lo) (.f64 hi hi)) (/.f64 (-.f64 x lo) hi))) (sqrt.f64 (+.f64 (/.f64 (.f64 x lo) (*.f64 hi hi)) (/.f64 (-.f64 x lo) hi))))
	58.6b	(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 x lo) (.f64 hi hi)) (/.f64 (-.f64 x lo) hi))) (cbrt.f64 (+.f64 (/.f64 (.f64 x lo) (.f64 hi hi)) (/.f64 (-.f64 x lo) hi)))) (cbrt.f64 (+.f64 (/.f64 (.f64 x lo) (.f64 hi hi)) (/.f64 (-.f64 x lo) hi))))
	58.6b	(log.f64 (exp.f64 (+.f64 (/.f64 (.f64 x lo) (.f64 hi hi)) (/.f64 (-.f64 x lo) hi))))
	58.6b	(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 x lo) (.f64 hi hi)) 3) (pow.f64 (/.f64 (-.f64 x lo) hi) 3)) (+.f64 (.f64 (/.f64 (.f64 x lo) (pow.f64 hi 4)) (.f64 x lo)) (.f64 (/.f64 (-.f64 x lo) hi) (-.f64 (/.f64 (-.f64 x lo) hi) (/.f64 (.f64 x lo) (.f64 hi hi))))))
	52.0b	(-.f64 1 (/.f64 x lo))
	58.6b	(cbrt.f64 (pow.f64 (+.f64 (/.f64 (.f64 x lo) (.f64 hi hi)) (/.f64 (-.f64 x lo) hi)) 3))

Compiler

Compiled 223 to 96 computations (57% saved)

regimes145.0ms (8.4%)

Accuracy

Total 0.2b remaining (0.3%)

Threshold costs 0.2b (0.3%)

Compiler

Compiled 2594 to 1156 computations (55.4% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64` `+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	11	13
2	11	13

end1.0ms (0%)

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

sample826.0ms (47.5%)

Algorithm

1×

intervals

Results

190.0ms	8000×	body	128	valid
166.0ms	8000×	pre	128	true

Compiler

Compiled 255 to 118 computations (53.7% saved)

Details

analyze189.0ms (10.9%)

sample22.0ms (1.3%)

simplify80.0ms (4.6%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite37.0ms (2.1%)

series33.0ms (1.9%)

simplify83.0ms (4.8%)

prune13.0ms (0.7%)

localize3.0ms (0.2%)

rewrite1.0ms (0%)

series1.0ms (0%)

simplify10.0ms (0.6%)

prune2.0ms (0.1%)

localize8.0ms (0.5%)

rewrite42.0ms (2.4%)

series84.0ms (4.8%)

simplify103.0ms (5.9%)

prune29.0ms (1.7%)

localize3.0ms (0.2%)

rewrite1.0ms (0%)

series0.0ms (0%)

simplify8.0ms (0.5%)

prune6.0ms (0.4%)

regimes145.0ms (8.4%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample826.0ms (47.5%)

Profiling