Details

analyze4.0ms (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)

sample11.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify22.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

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 3 expressions with local error:

0.0b

(-.f64 1 (*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))))

0.0b

(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

0.1b

(*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

rewrite16.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_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` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cancel-sign-sub-inv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 47

Calls

3 calls:

6.0ms

(*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

3.0ms

(-.f64 1 (*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))))

3.0ms

(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

series154.0ms (7.7%)

Counts

3 → 9

Calls

3 calls:

87.0ms

(*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

44.0ms

(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

23.0ms

(-.f64 1 (*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))))

simplify65.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4968	748
1	4968	748

prune159.0ms (8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	50	6	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	7	57

Merged error: 0.0b

Counts

57 → 7

Compiler

Compiled 2343 to 1922 computations (18% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 x 2278821411449471/9007199254740992) (*.f64 x (*.f64 x 1080863910568919/9007199254740992)))

0.0b

(-.f64 1 (+.f64 (*.f64 x 2278821411449471/9007199254740992) (*.f64 x (*.f64 x 1080863910568919/9007199254740992))))

0.2b

(*.f64 x (*.f64 x 1080863910568919/9007199254740992))

rewrite21.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
8×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64`
4×	`cancel-sign-sub-inv_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`diff-log_binary64` `distribute-lft-out_binary64` `difference-of-squares_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `associate-r_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

3 → 50

Calls

3 calls:

8.0ms

(-.f64 1 (+.f64 (*.f64 x 2278821411449471/9007199254740992) (*.f64 x (*.f64 x 1080863910568919/9007199254740992))))

5.0ms

(*.f64 x (*.f64 x 1080863910568919/9007199254740992))

4.0ms

(+.f64 (*.f64 x 2278821411449471/9007199254740992) (*.f64 x (*.f64 x 1080863910568919/9007199254740992)))

series160.0ms (8%)

Counts

3 → 9

Calls

3 calls:

97.0ms

(+.f64 (*.f64 x 2278821411449471/9007199254740992) (*.f64 x (*.f64 x 1080863910568919/9007199254740992)))

39.0ms

(*.f64 x (*.f64 x 1080863910568919/9007199254740992))

23.0ms

(-.f64 1 (+.f64 (*.f64 x 2278821411449471/9007199254740992) (*.f64 x (*.f64 x 1080863910568919/9007199254740992))))

simplify83.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4893	775
1	4893	775

prune81.0ms (4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	1	4	5
Picked	0	1	1
Done	1	0	1
Total	60	6	66

Merged error: 0.0b

Counts

66 → 6

Compiler

Compiled 1259 to 1004 computations (20.3% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 x 2278821411449471/9007199254740992) (*.f64 (*.f64 x x) 1080863910568919/9007199254740992))

0.0b

(-.f64 1 (+.f64 (*.f64 x 2278821411449471/9007199254740992) (*.f64 (*.f64 x x) 1080863910568919/9007199254740992)))

0.1b

(*.f64 (*.f64 x x) 1080863910568919/9007199254740992)

rewrite22.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
9×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`add-cube-cbrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `cancel-sign-sub-inv_binary64` `prod-exp_binary64`
2×	`diff-log_binary64` `difference-of-squares_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `associate-l_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

3 → 49

Calls

3 calls:

7.0ms

(-.f64 1 (+.f64 (*.f64 x 2278821411449471/9007199254740992) (*.f64 (*.f64 x x) 1080863910568919/9007199254740992)))

6.0ms

(*.f64 (*.f64 x x) 1080863910568919/9007199254740992)

5.0ms

(+.f64 (*.f64 x 2278821411449471/9007199254740992) (*.f64 (*.f64 x x) 1080863910568919/9007199254740992))

series147.0ms (7.3%)

Counts

3 → 9

Calls

3 calls:

88.0ms

(+.f64 (*.f64 x 2278821411449471/9007199254740992) (*.f64 (*.f64 x x) 1080863910568919/9007199254740992))

33.0ms

(*.f64 (*.f64 x x) 1080863910568919/9007199254740992)

25.0ms

(-.f64 1 (+.f64 (*.f64 x 2278821411449471/9007199254740992) (*.f64 (*.f64 x x) 1080863910568919/9007199254740992)))

simplify70.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4933	774
1	4933	774

prune69.0ms (3.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	59	5	64

Merged error: 0.0b

Counts

64 → 5

Compiler

Compiled 1067 to 823 computations (22.9% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 (.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992))) (sqrt.f64 1080863910568919/9007199254740992))))
0.1b	(.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
0.2b	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
0.2b	(.f64 (.f64 x (*.f64 x (sqrt.f64 1080863910568919/9007199254740992))) (sqrt.f64 1080863910568919/9007199254740992))

rewrite39.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
13×	`associate-r_binary64`
11×	`add-cube-cbrt_binary64`
10×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
9×	`add-log-exp_binary64`
7×	`associate-l_binary64` `sqrt-prod_binary64`
3×	`cancel-sign-sub-inv_binary64` `*-commutative_binary64`
2×	`diff-log_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64`
1×	`sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `sum-log_binary64`

Counts

4 → 83

Calls

4 calls:

11.0ms	(.f64 (.f64 x (*.f64 x (sqrt.f64 1080863910568919/9007199254740992))) (sqrt.f64 1080863910568919/9007199254740992))
8.0ms	(-.f64 1 (+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 (.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992))) (sqrt.f64 1080863910568919/9007199254740992))))
6.0ms	(.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
6.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))

series241.0ms (12.1%)

Counts

4 → 12

Calls

4 calls:

89.0ms	(.f64 (.f64 x (*.f64 x (sqrt.f64 1080863910568919/9007199254740992))) (sqrt.f64 1080863910568919/9007199254740992))
57.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
52.0ms	(.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
43.0ms	(-.f64 1 (+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 (.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992))) (sqrt.f64 1080863910568919/9007199254740992))))

simplify70.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5199	1056

prune93.0ms (4.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	95	5	100

Merged error: 0.0b

Counts

100 → 5

Compiler

Compiled 1569 to 1260 computations (19.7% saved)

regimes40.0ms (2%)

Compiler: Compiled 232 to 198 computations (14.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	73	16
1	73	16

end0.0ms (0%)

sample402.0ms (20.1%)

Algorithm

1×

intervals

Results

196.0ms

8000×

body

128

valid

Compiler

Compiled 87 to 75 computations (13.8% saved)

Details

analyze4.0ms (0.2%)

sample11.0ms (0.5%)

simplify22.0ms (1.1%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite16.0ms (0.8%)

series154.0ms (7.7%)

simplify65.0ms (3.3%)

prune159.0ms (8%)

localize7.0ms (0.3%)

rewrite21.0ms (1.1%)

series160.0ms (8%)

simplify83.0ms (4.2%)

prune81.0ms (4%)

localize7.0ms (0.3%)

rewrite22.0ms (1.1%)

series147.0ms (7.3%)

simplify70.0ms (3.5%)

prune69.0ms (3.4%)

localize9.0ms (0.5%)

rewrite39.0ms (1.9%)

series241.0ms (12.1%)

simplify70.0ms (3.5%)

prune93.0ms (4.6%)

regimes40.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample402.0ms (20.1%)

Profiling