Details

analyze243.0ms (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)

sample15.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify232.0ms (7.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

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: 0.1b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite15.0ms (0.5%)

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))

series95.0ms (2.9%)

Counts

1 → 3

Calls

1 calls:

95.0ms

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

simplify63.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4962	802
1	4962	802

prune47.0ms (1.4%)

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 742 to 178 computations (76% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite45.0ms (1.4%)

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:

16.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
9.0ms	(/.f64 (-.f64 n f) (+.f64 f n))

series190.0ms (5.8%)

Counts

2 → 6

Calls

2 calls:

102.0ms	(/.f64 (-.f64 n f) (+.f64 f n))
87.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))

simplify90.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	6235	3700

prune128.0ms (3.9%)

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: 0.0b

Counts

185 → 4

Compiler

Compiled 3096 to 797 computations (74.3% 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))))

rewrite95.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

190×	`*-un-lft-identity_binary64`
155×	`times-frac_binary64`
114×	`add-sqr-sqrt_binary64`
54×	`add-cube-cbrt_binary64`
35×	`distribute-lft-out--_binary64`
28×	`distribute-lft-out_binary64` `associate-/r/_binary64`
25×	`associate-/r*_binary64`
20×	`difference-of-squares_binary64`
15×	`distribute-rgt-out--_binary64`
13×	`div-inv_binary64`
12×	`flip3-+_binary64` `add-exp-log_binary64` `flip-+_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 → 184

Calls

4 calls:

31.0ms	(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
30.0ms	(-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))
6.0ms	(/.f64 n (+.f64 n f))
6.0ms	(/.f64 f (+.f64 n f))

series354.0ms (10.8%)

Counts

4 → 12

Calls

4 calls:

140.0ms	(/.f64 1 (-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f))))
116.0ms	(-.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)))
49.0ms	(/.f64 f (+.f64 n f))
49.0ms	(/.f64 n (+.f64 n f))

simplify85.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5252	3753

prune160.0ms (4.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	195	1	196
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	196	4	200

Merged error: 0b

Counts

200 → 4

Compiler

Compiled 3874 to 1362 computations (64.8% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
0.1b	(/.f64 (+.f64 f n) (-.f64 n f))
0.1b	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

rewrite59.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`*-un-lft-identity_binary64`
100×	`times-frac_binary64`
98×	`add-sqr-sqrt_binary64`
58×	`cbrt-prod_binary64`
56×	`add-cube-cbrt_binary64`
52×	`unpow-prod-down_binary64` `cube-prod_binary64`
26×	`distribute-lft-out_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`associate-/r/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r*_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`pow1_binary64` `associate-/l*_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `flip3-+_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`

Counts

3 → 185

Calls

3 calls:

15.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
14.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
9.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

series301.0ms (9.2%)

Counts

3 → 9

Calls

3 calls:

124.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
101.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
76.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

simplify65.0ms (2%)

Algorithm

1×	egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5450	3740

prune141.0ms (4.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	194	4	198

Merged error: 0b

Counts

198 → 4

Compiler

Compiled 3110 to 987 computations (68.3% saved)

regimes129.0ms (3.9%)

Compiler: Compiled 1285 to 749 computations (41.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	19
1	27	19

end0.0ms (0%)

sample698.0ms (21.3%)

Algorithm

1×

intervals

Results

210.0ms

8000×

body

128

valid

Compiler

Compiled 435 to 252 computations (42.1% saved)

Details

analyze243.0ms (7.4%)

sample15.0ms (0.5%)

simplify232.0ms (7.1%)

prune6.0ms (0.2%)

localize6.0ms (0.2%)

rewrite15.0ms (0.5%)

series95.0ms (2.9%)

simplify63.0ms (1.9%)

prune47.0ms (1.4%)

localize6.0ms (0.2%)

rewrite45.0ms (1.4%)

series190.0ms (5.8%)

simplify90.0ms (2.7%)

prune128.0ms (3.9%)

localize8.0ms (0.2%)

rewrite95.0ms (2.9%)

series354.0ms (10.8%)

simplify85.0ms (2.6%)

prune160.0ms (4.9%)

localize7.0ms (0.2%)

rewrite59.0ms (1.8%)

series301.0ms (9.2%)

simplify65.0ms (2%)

prune141.0ms (4.3%)

regimes129.0ms (3.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample698.0ms (21.3%)

Profiling