Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	24.9%	13
75%	0%	25%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample12.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify181.0ms (8.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	279	13
1	279	13

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))
0.1b	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))

rewrite12.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_1821`
4×	`pow1_binary64_1860` `add-cube-cbrt_binary64_1834` `add-log-exp_binary64_1838` `add-cbrt-cube_binary64_1835` `*-un-lft-identity_binary64_1799` `add-exp-log_binary64_1837`
3×	`associate-l_binary64_1740` `associate-r_binary64_1739`
2×	`associate-*r/_binary64_1741` `flip3-+_binary64_1802` `flip-+_binary64_1773`
1×	`sum-log_binary64_1890` `distribute-rgt-in_binary64_1749` `+-commutative_binary64_1729` `distribute-lft-in_binary64_1748` `prod-exp_binary64_1848` `unswap-sqr_binary64_1767` `cbrt-unprod_binary64_1832` `*-commutative_binary64_1730` `pow-prod-down_binary64_1870`

Counts

2 → 33

Calls

2 calls:

7.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
3.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

series122.0ms (5.8%)

Counts

2 → 6

Calls

2 calls:

77.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
45.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

simplify93.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4814	455
1	4814	455

prune125.0ms (6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	32	7	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	7	40

Merged error: 0.0b

Counts

40 → 7

Compiler

Compiled 1933 to 1583 computations (18.1% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 x (*.f64 x 1080863910568919/9007199254740992)))
0.2b	(.f64 x (.f64 x 1080863910568919/9007199254740992))

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_1860` `add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
4×	`add-log-exp_binary64_1838`
3×	`add-sqr-sqrt_binary64_1821` `add-cube-cbrt_binary64_1834` `prod-exp_binary64_1848` `associate-l_binary64_1740` `*-un-lft-identity_binary64_1799` `cbrt-unprod_binary64_1832` `pow-prod-down_binary64_1870`
1×	`sum-log_binary64_1890` `+-commutative_binary64_1729` `-commutative_binary64_1730` `distribute-lft-out_binary64_1750` `flip3-+_binary64_1802` `flip-+_binary64_1773` `associate-r*_binary64_1739`

Counts

2 → 30

Calls

2 calls:

6.0ms	(.f64 x (.f64 x 1080863910568919/9007199254740992))
5.0ms	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 x (*.f64 x 1080863910568919/9007199254740992)))

series134.0ms (6.4%)

Counts

2 → 6

Calls

2 calls:

94.0ms	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 x (*.f64 x 1080863910568919/9007199254740992)))
39.0ms	(.f64 x (.f64 x 1080863910568919/9007199254740992))

simplify88.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4876	375
1	4876	375

prune60.0ms (2.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	38	5	43

Merged error: 0b

Counts

43 → 5

Compiler

Compiled 932 to 741 computations (20.5% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 (*.f64 x x) 1080863910568919/9007199254740992))
0.2b	(.f64 (.f64 x x) 1080863910568919/9007199254740992)

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_1860` `add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
4×	`add-sqr-sqrt_binary64_1821` `add-log-exp_binary64_1838`
3×	`add-cube-cbrt_binary64_1834` `prod-exp_binary64_1848` `-un-lft-identity_binary64_1799` `cbrt-unprod_binary64_1832` `pow-prod-down_binary64_1870` `associate-r*_binary64_1739`
1×	`sum-log_binary64_1890` `+-commutative_binary64_1729` `unswap-sqr_binary64_1767` `associate-l_binary64_1740` `*-commutative_binary64_1730` `flip3-+_binary64_1802` `flip-+_binary64_1773`

Counts

2 → 30

Calls

2 calls:

7.0ms	(.f64 (.f64 x x) 1080863910568919/9007199254740992)
5.0ms	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 (*.f64 x x) 1080863910568919/9007199254740992))

series128.0ms (6.1%)

Counts

2 → 6

Calls

2 calls:

87.0ms	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 (*.f64 x x) 1080863910568919/9007199254740992))
40.0ms	(.f64 (.f64 x x) 1080863910568919/9007199254740992)

simplify92.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4851	384
1	4851	384

prune46.0ms (2.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	36	5	41

Merged error: 0b

Counts

41 → 5

Compiler

Compiled 723 to 545 computations (24.6% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 (.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992))) (sqrt.f64 1080863910568919/9007199254740992)))
0.2b	(.f64 (.f64 x (*.f64 x (sqrt.f64 1080863910568919/9007199254740992))) (sqrt.f64 1080863910568919/9007199254740992))
0.2b	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
0.2b	(.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))

rewrite37.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`pow1_binary64_1860` `add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
14×	`add-sqr-sqrt_binary64_1821`
13×	`associate-r_binary64_1739`
10×	`add-cube-cbrt_binary64_1834` `prod-exp_binary64_1848` `*-un-lft-identity_binary64_1799` `cbrt-unprod_binary64_1832` `pow-prod-down_binary64_1870`
7×	`associate-l_binary64_1740` `sqrt-prod_binary64_1815`
6×	`add-log-exp_binary64_1838`
3×	`*-commutative_binary64_1730`
2×	`unswap-sqr_binary64_1767`
1×	`sum-log_binary64_1890` `+-commutative_binary64_1729` `flip3-+_binary64_1802` `flip-+_binary64_1773`

Counts

4 → 75

Calls

4 calls:

11.0ms	(.f64 (.f64 x (*.f64 x (sqrt.f64 1080863910568919/9007199254740992))) (sqrt.f64 1080863910568919/9007199254740992))
7.0ms	(.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
7.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
6.0ms	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 (.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992))) (sqrt.f64 1080863910568919/9007199254740992)))

series325.0ms (15.5%)

Counts

4 → 12

Calls

4 calls:

137.0ms	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 (.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992))) (sqrt.f64 1080863910568919/9007199254740992)))
74.0ms	(.f64 (.f64 x (*.f64 x (sqrt.f64 1080863910568919/9007199254740992))) (sqrt.f64 1080863910568919/9007199254740992))
68.0ms	(.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
45.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))

simplify81.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4895	871
1	4895	871

prune83.0ms (3.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	87	5	92

Merged error: 0b

Counts

92 → 5

Compiler

Compiled 1457 to 1154 computations (20.8% saved)

regimes13.0ms (0.6%)

Compiler: Compiled 72 to 58 computations (19.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16

end0.0ms (0%)

sample406.0ms (19.3%)

Algorithm

1×

intervals

Results

202.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 91 to 75 computations (17.6% saved)

Details

analyze3.0ms (0.2%)

sample12.0ms (0.5%)

simplify181.0ms (8.6%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite12.0ms (0.6%)

series122.0ms (5.8%)

simplify93.0ms (4.4%)

prune125.0ms (6%)

localize7.0ms (0.3%)

rewrite13.0ms (0.6%)

series134.0ms (6.4%)

simplify88.0ms (4.2%)

prune60.0ms (2.9%)

localize7.0ms (0.3%)

rewrite13.0ms (0.6%)

series128.0ms (6.1%)

simplify92.0ms (4.4%)

prune46.0ms (2.2%)

localize10.0ms (0.5%)

rewrite37.0ms (1.8%)

series325.0ms (15.5%)

simplify81.0ms (3.9%)

prune83.0ms (3.9%)

regimes13.0ms (0.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample406.0ms (19.3%)

Profiling