Details

analyze7.0ms (0.5%)

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)

sample10.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify25.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	290	13
1	290	13

prune3.0ms (0.2%)

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)

localize5.0ms (0.4%)

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)))

rewrite10.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

6.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
3.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

series10.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
4.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

simplify122.0ms (9.3%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4886	455
1	4886	455

prune40.0ms (3.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	34	5	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	6	40

Merged error: 0.0b

Counts

40 → 6

Compiler

Compiled 624 to 499 computations (20% saved)

localize7.0ms (0.5%)

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 (1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 30

Calls

2 calls:

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

series11.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 x (*.f64 x 1080863910568919/9007199254740992)))
4.0ms	(.f64 x (.f64 x 1080863910568919/9007199254740992))

simplify70.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5193	375

prune32.0ms (2.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	37	5	42

Merged error: 0b

Counts

42 → 5

Compiler

Compiled 559 to 429 computations (23.3% saved)

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite11.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
1×	`flip3-+_binary64` `associate-l_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 30

Calls

2 calls:

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

series11.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

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

simplify71.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4902	384
1	4902	384

prune28.0ms (2.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

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

Merged error: 0b

Counts

41 → 5

Compiler

Compiled 553 to 410 computations (25.9% saved)

localize10.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
0.1b	(/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
0.2b	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
0.4b	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

rewrite30.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
19×	`associate-r_binary64` `times-frac_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`pow1_binary64`
9×	`associate-l_binary64`
6×	`cbrt-unprod_binary64` `prod-exp_binary64`
5×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `unswap-sqr_binary64` `associate-/l_binary64` `flip--_binary64` `*-commutative_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`associate-*r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 102

Calls

4 calls:

10.0ms	(.f64 x (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
7.0ms	(/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
5.0ms	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
4.0ms	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

series31.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

13.0ms	(.f64 x (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
10.0ms	(/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
3.0ms	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
2.0ms	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

simplify89.0ms (6.8%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4894	2077
1	4894	2077

prune101.0ms (7.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	114	5	119

Merged error: 0b

Counts

119 → 5

Compiler

Compiled 2689 to 2101 computations (21.9% saved)

regimes58.0ms (4.5%)

Compiler: Compiled 244 to 207 computations (15.2% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	74	16
1	74	16

end0.0ms (0%)

sample486.0ms (37.3%)

Algorithm

1×

intervals

Results

184.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Compiler

Compiled 91 to 78 computations (14.3% saved)

Details

analyze7.0ms (0.5%)

sample10.0ms (0.8%)

simplify25.0ms (1.9%)

prune3.0ms (0.2%)

localize5.0ms (0.4%)

rewrite10.0ms (0.7%)

series10.0ms (0.8%)

simplify122.0ms (9.3%)

prune40.0ms (3.1%)

localize7.0ms (0.5%)

rewrite13.0ms (1%)

series11.0ms (0.9%)

simplify70.0ms (5.4%)

prune32.0ms (2.4%)

localize6.0ms (0.5%)

rewrite11.0ms (0.9%)

series11.0ms (0.8%)

simplify71.0ms (5.5%)

prune28.0ms (2.1%)

localize10.0ms (0.8%)

rewrite30.0ms (2.3%)

series31.0ms (2.4%)

simplify89.0ms (6.8%)

prune101.0ms (7.8%)

regimes58.0ms (4.5%)

bsearch0.0ms (0%)

simplify6.0ms (0.4%)

end0.0ms (0%)

sample486.0ms (37.3%)

Profiling