Details

analyze238.0ms (9.8%)

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)

sample15.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify163.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	782	10
1	782	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)

localize13.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

rewrite14.0ms (0.6%)

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))

series51.0ms (2.1%)

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify68.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5053	802

prune40.0ms (1.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	5	49

Merged error: 0.0b

Counts

49 → 5

Compiler

Compiled 714 to 174 computations (75.6% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite38.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

93×	`*-un-lft-identity_binary64`
61×	`add-sqr-sqrt_binary64`
60×	`times-frac_binary64`
52×	`exp-prod_binary64`
35×	`add-cube-cbrt_binary64`
27×	`log-pow_binary64`
16×	`distribute-lft-out_binary64`
13×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`associate-/r/_binary64`
5×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64`
3×	`flip3--_binary64` `log-prod_binary64` `div-inv_binary64` `flip--_binary64`
2×	`associate-/l/_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

3 → 117

Calls

3 calls:

11.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
9.0ms	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
8.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

series170.0ms (7%)

Counts

3 → 9

Calls

3 calls:

65.0ms	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
64.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
42.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

simplify79.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4989	1784
1	4989	1784

prune86.0ms (3.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	126	5	131

Merged error: 0b

Counts

131 → 5

Compiler

Compiled 2031 to 442 computations (78.2% 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))

rewrite36.0ms (1.5%)

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:

12.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
8.0ms	(/.f64 (-.f64 n f) (+.f64 f n))

series92.0ms (3.7%)

Counts

2 → 6

Calls

2 calls:

49.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
42.0ms	(/.f64 (-.f64 n f) (+.f64 f n))

simplify92.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5082	3700

prune122.0ms (5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	179	1	180
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	181	4	185

Merged error: 0b

Counts

185 → 4

Compiler

Compiled 3087 to 796 computations (74.2% saved)

localize7.0ms (0.3%)

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))))

rewrite88.0ms (3.6%)

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:

29.0ms	(-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))
28.0ms	(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
5.0ms	(/.f64 f (+.f64 n f))
5.0ms	(/.f64 n (+.f64 n f))

series168.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

61.0ms	(-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))
59.0ms	(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
24.0ms	(/.f64 n (+.f64 n f))
23.0ms	(/.f64 f (+.f64 n f))

simplify101.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5265	3759

prune154.0ms (6.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	214	4	218

Merged error: 0b

Counts

218 → 4

Compiler

Compiled 3969 to 1129 computations (71.6% saved)

regimes69.0ms (2.8%)

Compiler: Compiled 508 to 353 computations (30.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	19
1	27	19

end0.0ms (0%)

sample517.0ms (21.2%)

Algorithm

1×

intervals

Results

203.0ms

8000×

body

128

valid

Compiler

Compiled 176 to 120 computations (31.8% saved)

Details

analyze238.0ms (9.8%)

sample15.0ms (0.6%)

simplify163.0ms (6.7%)

prune6.0ms (0.2%)

localize13.0ms (0.5%)

rewrite14.0ms (0.6%)

series51.0ms (2.1%)

simplify68.0ms (2.8%)

prune40.0ms (1.6%)

localize8.0ms (0.3%)

rewrite38.0ms (1.5%)

series170.0ms (7%)

simplify79.0ms (3.2%)

prune86.0ms (3.5%)

localize6.0ms (0.2%)

rewrite36.0ms (1.5%)

series92.0ms (3.7%)

simplify92.0ms (3.8%)

prune122.0ms (5%)

localize7.0ms (0.3%)

rewrite88.0ms (3.6%)

series168.0ms (6.9%)

simplify101.0ms (4.1%)

prune154.0ms (6.3%)

regimes69.0ms (2.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample517.0ms (21.2%)

Profiling