Details

analyze273.0ms (7.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample16.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify281.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	756	10
1	756	10

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`associate-/r*_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 45

Calls

1 calls:

10.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

series116.0ms (3.1%)

Counts

1 → 3

Calls

1 calls:

116.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

simplify77.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5253	802

prune41.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	4	49

Merged error: 0.0b

Counts

49 → 4

Compiler

Compiled 701 to 161 computations (77% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
0.0b	(/.f64 (-.f64 n f) (+.f64 f n))

rewrite44.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

178×	`times-frac_binary64`
174×	`*-un-lft-identity_binary64`
122×	`add-sqr-sqrt_binary64`
80×	`add-cube-cbrt_binary64`
30×	`associate-/r*_binary64`
26×	`distribute-lft-out_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
15×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64`
8×	`associate-/l*_binary64` `div-exp_binary64`
6×	`div-inv_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`flip3--_binary64` `div-sub_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

2 → 174

Calls

2 calls:

13.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
9.0ms	(/.f64 (-.f64 n f) (+.f64 f n))

series200.0ms (5.4%)

Counts

2 → 6

Calls

2 calls:

116.0ms	(/.f64 (-.f64 n f) (+.f64 f n))
84.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))

simplify127.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5061	3700

prune169.0ms (4.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	178	2	180
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	180	4	184

Merged error: 0b

Counts

184 → 4

Compiler

Compiled 3086 to 795 computations (74.2% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 n (+.f64 n f))
0.0b	(/.f64 f (+.f64 n f))
0.0b	(-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))
0.0b	(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))

rewrite123.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

204×	`*-un-lft-identity_binary64`
167×	`times-frac_binary64`
122×	`add-sqr-sqrt_binary64`
62×	`add-cube-cbrt_binary64`
35×	`distribute-lft-out--_binary64`
31×	`distribute-lft-out_binary64`
30×	`associate-/r/_binary64`
25×	`associate-/r*_binary64`
20×	`difference-of-squares_binary64`
18×	`cancel-sign-sub-inv_binary64`
15×	`distribute-rgt-out--_binary64`
14×	`div-inv_binary64`
13×	`flip3-+_binary64` `flip-+_binary64`
12×	`add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
9×	`associate-/l*_binary64`
6×	`add-log-exp_binary64`
5×	`pow1_binary64`
4×	`div-exp_binary64`
3×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`flip3--_binary64` `sub-div_binary64` `flip--_binary64` `frac-sub_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `1-exp_binary64` `inv-pow_binary64` `rec-exp_binary64` `pow-flip_binary64`

Counts

4 → 202

Calls

4 calls:

43.0ms	(-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))
32.0ms	(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
9.0ms	(/.f64 f (+.f64 n f))
6.0ms	(/.f64 n (+.f64 n f))

series505.0ms (13.7%)

Counts

4 → 12

Calls

4 calls:

173.0ms	(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
172.0ms	(-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))
89.0ms	(/.f64 n (+.f64 n f))
71.0ms	(/.f64 f (+.f64 n f))

simplify90.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5050	3759

prune211.0ms (5.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	214	4	218

Merged error: 0b

Counts

218 → 4

Compiler

Compiled 4001 to 1148 computations (71.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 n f) (-.f64 f n))
2.6b	(-.f64 (.f64 f f) (.f64 n n))
29.6b	(/.f64 (-.f64 (.f64 f f) (.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))

rewrite63.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
14×	`flip3--_binary64` `flip--_binary64`
13×	`*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64`
8×	`associate-/r/_binary64` `frac-times_binary64`
7×	`cancel-sign-sub-inv_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `associate-l_binary64` `difference-of-squares_binary64`
4×	`associate-r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-/l_binary64` `times-frac_binary64` `associate-*l/_binary64`
3×	`sub-neg_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `diff-log_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

3 → 85

Calls

3 calls:

23.0ms	(/.f64 (-.f64 (.f64 f f) (.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))
22.0ms	(*.f64 (-.f64 n f) (-.f64 f n))
8.0ms	(-.f64 (.f64 f f) (.f64 n n))

series273.0ms (7.4%)

Counts

3 → 9

Calls

3 calls:

172.0ms	(/.f64 (-.f64 (.f64 f f) (.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))
54.0ms	(*.f64 (-.f64 n f) (-.f64 f n))
47.0ms	(-.f64 (.f64 f f) (.f64 n n))

simplify66.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4919	1455
1	4919	1455

prune63.0ms (1.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	94	4	98

Merged error: 0b

Counts

98 → 4

Compiler

Compiled 1831 to 348 computations (81% saved)

regimes119.0ms (3.2%)

Compiler: Compiled 811 to 488 computations (39.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	19
1	27	19

end0.0ms (0%)

sample786.0ms (21.3%)

Algorithm

1×

intervals

Results

265.0ms

8000×

body

128

valid

Compiler

Compiled 277 to 165 computations (40.4% saved)

Details

analyze273.0ms (7.4%)

sample16.0ms (0.4%)

simplify281.0ms (7.6%)

prune6.0ms (0.2%)

localize6.0ms (0.2%)

rewrite15.0ms (0.4%)

series116.0ms (3.1%)

simplify77.0ms (2.1%)

prune41.0ms (1.1%)

localize6.0ms (0.2%)

rewrite44.0ms (1.2%)

series200.0ms (5.4%)

simplify127.0ms (3.4%)

prune169.0ms (4.6%)

localize8.0ms (0.2%)

rewrite123.0ms (3.3%)

series505.0ms (13.7%)

simplify90.0ms (2.4%)

prune211.0ms (5.7%)

localize9.0ms (0.2%)

rewrite63.0ms (1.7%)

series273.0ms (7.4%)

simplify66.0ms (1.8%)

prune63.0ms (1.7%)

regimes119.0ms (3.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample786.0ms (21.3%)

Profiling