Details

analyze230.0ms (5.9%)

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)

simplify237.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	756	10
1	756	10

prune7.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`*-un-lft-identity_binary64`
60×	`times-frac_binary64`
58×	`add-sqr-sqrt_binary64`
32×	`add-cube-cbrt_binary64`
24×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
13×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
12×	`distribute-lft-out_binary64` `associate-/l*_binary64`
6×	`neg-mul-1_binary64`
5×	`associate-/r*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `distribute-neg-frac_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `neg-sub0_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `distribute-frac-neg_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 95

Calls

1 calls:

12.0ms

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

series108.0ms (2.8%)

Counts

1 → 3

Calls

1 calls:

108.0ms

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

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4956	2073
1	4956	2073

prune212.0ms (5.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	93	5	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	5	99

Merged error: 0.0b

Counts

99 → 5

Compiler

Compiled 4279 to 1630 computations (61.9% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite89.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

498×	`times-frac_binary64`
438×	`*-un-lft-identity_binary64`
334×	`add-sqr-sqrt_binary64`
212×	`add-cube-cbrt_binary64`
104×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
78×	`associate-/r*_binary64`
61×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
52×	`distribute-lft-out_binary64`
26×	`neg-mul-1_binary64`
15×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
10×	`distribute-neg-frac_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 → 382

Calls

2 calls:

21.0ms	(/.f64 1 (/.f64 (-.f64 f n) (neg.f64 (+.f64 f n))))
11.0ms	(/.f64 (-.f64 f n) (neg.f64 (+.f64 f n)))

series194.0ms (5%)

Counts

2 → 6

Calls

2 calls:

98.0ms	(/.f64 (-.f64 f n) (neg.f64 (+.f64 f n)))
96.0ms	(/.f64 1 (/.f64 (-.f64 f n) (neg.f64 (+.f64 f n))))

simplify135.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

388 → 388

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	6174	9333

prune301.0ms (7.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	386	2	388
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	389	4	393

Merged error: 0.0b

Counts

393 → 4

Compiler

Compiled 7758 to 1845 computations (76.2% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite251.0ms (6.5%)

Algorithm

1×	rewrite-expression-head

Rules

546×	`*-un-lft-identity_binary64`
421×	`times-frac_binary64`
202×	`add-sqr-sqrt_binary64`
142×	`add-cube-cbrt_binary64`
124×	`distribute-rgt-neg-in_binary64`
105×	`distribute-lft-out--_binary64`
104×	`distribute-lft-neg-in_binary64`
72×	`distribute-lft-out_binary64`
55×	`associate-/r*_binary64`
42×	`cancel-sign-sub-inv_binary64`
30×	`associate-/r/_binary64`
26×	`distribute-neg-frac_binary64`
21×	`neg-mul-1_binary64`
20×	`difference-of-squares_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 → 360

Calls

4 calls:

93.0ms	(/.f64 1 (-.f64 (/.f64 f (neg.f64 (+.f64 f n))) (/.f64 n (neg.f64 (+.f64 f n)))))
89.0ms	(-.f64 (/.f64 f (neg.f64 (+.f64 f n))) (/.f64 n (neg.f64 (+.f64 f n))))
8.0ms	(/.f64 f (neg.f64 (+.f64 f n)))
7.0ms	(/.f64 n (neg.f64 (+.f64 f n)))

series371.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

138.0ms	(/.f64 1 (-.f64 (/.f64 f (neg.f64 (+.f64 f n))) (/.f64 n (neg.f64 (+.f64 f n)))))
125.0ms	(-.f64 (/.f64 f (neg.f64 (+.f64 f n))) (/.f64 n (neg.f64 (+.f64 f n))))
54.0ms	(/.f64 n (neg.f64 (+.f64 f n)))
54.0ms	(/.f64 f (neg.f64 (+.f64 f n)))

simplify123.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

372 → 372

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5125	7201

prune350.0ms (9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	370	2	372
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	372	4	376

Merged error: 0b

Counts

376 → 4

Compiler

Compiled 8457 to 2743 computations (67.6% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite95.0ms (2.5%)

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`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-/l*_binary64`
6×	`add-log-exp_binary64`
4×	`pow1_binary64`
3×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`
2×	`flip3--_binary64` `sub-div_binary64` `flip--_binary64` `frac-sub_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

Counts

4 → 198

Calls

4 calls:

33.0ms	(/.f64 -1 (-.f64 (/.f64 f (+.f64 f n)) (/.f64 n (+.f64 f n))))
28.0ms	(-.f64 (/.f64 f (+.f64 f n)) (/.f64 n (+.f64 f n)))
6.0ms	(/.f64 n (+.f64 f n))
6.0ms	(/.f64 f (+.f64 f n))

series344.0ms (8.9%)

Counts

4 → 12

Calls

4 calls:

128.0ms	(/.f64 -1 (-.f64 (/.f64 f (+.f64 f n)) (/.f64 n (+.f64 f n))))
116.0ms	(-.f64 (/.f64 f (+.f64 f n)) (/.f64 n (+.f64 f n)))
51.0ms	(/.f64 f (+.f64 f n))
49.0ms	(/.f64 n (+.f64 f n))

simplify82.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5012	3826

prune160.0ms (4.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	209	1	210
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	210	4	214

Merged error: 0b

Counts

214 → 4

Compiler

Compiled 4152 to 1276 computations (69.3% saved)

regimes26.0ms (0.7%)

Compiler: Compiled 138 to 80 computations (42% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	19
1	26	19

end0.0ms (0%)

sample424.0ms (11%)

Algorithm

1×

intervals

Results

203.0ms

8000×

body

128

valid

Compiler

Compiled 89 to 53 computations (40.4% saved)

Details

analyze230.0ms (5.9%)

sample16.0ms (0.4%)

simplify237.0ms (6.1%)

prune7.0ms (0.2%)

localize7.0ms (0.2%)

rewrite23.0ms (0.6%)

series108.0ms (2.8%)

simplify62.0ms (1.6%)

prune212.0ms (5.5%)

localize7.0ms (0.2%)

rewrite89.0ms (2.3%)

series194.0ms (5%)

simplify135.0ms (3.5%)

prune301.0ms (7.8%)

localize8.0ms (0.2%)

rewrite251.0ms (6.5%)

series371.0ms (9.6%)

simplify123.0ms (3.2%)

prune350.0ms (9%)

localize7.0ms (0.2%)

rewrite95.0ms (2.5%)

series344.0ms (8.9%)

simplify82.0ms (2.1%)

prune160.0ms (4.1%)

regimes26.0ms (0.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample424.0ms (11%)

Profiling