Details

analyze26.0ms (0.8%)

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 8 to 6 computations (25% saved)

sample16.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify157.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	64	10
1	64	10

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 14 to 10 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (+.f64 x y) (-.f64 x y))

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_12209`
22×	`add-sqr-sqrt_binary64_12230`
20×	`times-frac_binary64_12215`
12×	`add-cube-cbrt_binary64_12241`
6×	`distribute-lft-out_binary64_12162`
5×	`associate-/r*_binary64_12155` `distribute-lft-out--_binary64_12163` `difference-of-squares_binary64_12178`
4×	`associate-/l*_binary64_12156`
3×	`add-cbrt-cube_binary64_12242` `add-exp-log_binary64_12244`
2×	`associate-/l/_binary64_12158` `associate-/r/_binary64_12157`
1×	`pow1_binary64_12267` `clear-num_binary64_12208` `flip3-+_binary64_12212` `add-log-exp_binary64_12245` `cbrt-undiv_binary64_12240` `flip--_binary64_12184` `div-exp_binary64_12257` `flip-+_binary64_12183` `flip3--_binary64_12213` `div-inv_binary64_12206` `frac-2neg_binary64_12220`

Counts

1 → 45

Calls

1 calls:

10.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

series87.0ms (2.8%)

Counts

1 → 3

Calls

1 calls:

87.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

simplify62.0ms (2%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5123	802

prune47.0ms (1.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	42	6	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	6	49

Merged error: 0b

Counts

49 → 6

Compiler

Compiled 751 to 184 computations (75.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (+.f64 x y))
0.0b	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))

rewrite42.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

178×	`times-frac_binary64_12215`
174×	`*-un-lft-identity_binary64_12209`
122×	`add-sqr-sqrt_binary64_12230`
80×	`add-cube-cbrt_binary64_12241`
30×	`associate-/r*_binary64_12155`
26×	`distribute-lft-out_binary64_12162`
21×	`distribute-lft-out--_binary64_12163` `difference-of-squares_binary64_12178`
15×	`add-exp-log_binary64_12244`
11×	`associate-/r/_binary64_12157`
9×	`add-cbrt-cube_binary64_12242`
8×	`div-exp_binary64_12257` `associate-/l*_binary64_12156`
6×	`div-inv_binary64_12206`
5×	`flip3-+_binary64_12212` `flip-+_binary64_12183`
4×	`cbrt-undiv_binary64_12240`
3×	`pow1_binary64_12267`
2×	`1-exp_binary64_12250` `clear-num_binary64_12208` `associate-/l/_binary64_12158` `add-log-exp_binary64_12245` `rec-exp_binary64_12256` `frac-2neg_binary64_12220`
1×	`inv-pow_binary64_12291` `flip--_binary64_12184` `flip3--_binary64_12213` `div-sub_binary64_12214` `pow-flip_binary64_12280`

Counts

2 → 174

Calls

2 calls:

13.0ms	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
9.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

series176.0ms (5.6%)

Counts

2 → 6

Calls

2 calls:

92.0ms	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
83.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

simplify90.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4949	3649
1	4949	3649

prune127.0ms (4.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	179	1	180
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	181	5	186

Merged error: 0b

Counts

186 → 5

Compiler

Compiled 3071 to 775 computations (74.8% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 y (+.f64 x y))
0.0b	(/.f64 x (+.f64 x y))
0.0b	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
0.0b	(/.f64 1 (-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))))

rewrite96.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

190×	`*-un-lft-identity_binary64_12209`
155×	`times-frac_binary64_12215`
114×	`add-sqr-sqrt_binary64_12230`
54×	`add-cube-cbrt_binary64_12241`
35×	`distribute-lft-out--_binary64_12163`
28×	`distribute-lft-out_binary64_12162` `associate-/r/_binary64_12157`
25×	`associate-/r*_binary64_12155`
20×	`difference-of-squares_binary64_12178`
15×	`distribute-rgt-out--_binary64_12165`
13×	`div-inv_binary64_12206`
12×	`flip3-+_binary64_12212` `add-exp-log_binary64_12244` `flip-+_binary64_12183`
10×	`add-cbrt-cube_binary64_12242`
9×	`associate-/l*_binary64_12156`
6×	`add-log-exp_binary64_12245`
5×	`pow1_binary64_12267`
4×	`div-exp_binary64_12257`
3×	`clear-num_binary64_12208` `cbrt-undiv_binary64_12240` `frac-2neg_binary64_12220`
2×	`sub-div_binary64_12216` `flip--_binary64_12184` `flip3--_binary64_12213` `frac-sub_binary64_12218`
1×	`inv-pow_binary64_12291` `1-exp_binary64_12250` `diff-log_binary64_12298` `rec-exp_binary64_12256` `sub-neg_binary64_12202` `pow-flip_binary64_12280`

Counts

4 → 184

Calls

4 calls:

32.0ms	(/.f64 1 (-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))))
25.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
5.0ms	(/.f64 x (+.f64 x y))
5.0ms	(/.f64 y (+.f64 x y))

series543.0ms (17.4%)

Counts

4 → 12

Calls

4 calls:

312.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
134.0ms	(/.f64 1 (-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))))
49.0ms	(/.f64 x (+.f64 x y))
49.0ms	(/.f64 y (+.f64 x y))

simplify88.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5252	3753

prune160.0ms (5.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	196	5	201

Merged error: 0b

Counts

201 → 5

Compiler

Compiled 3878 to 1368 computations (64.7% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
0.0b	(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
0.1b	(/.f64 (+.f64 x y) (-.f64 x y))

rewrite43.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

93×	`*-un-lft-identity_binary64_12209`
61×	`add-sqr-sqrt_binary64_12230`
60×	`times-frac_binary64_12215`
52×	`exp-prod_binary64_12258`
35×	`add-cube-cbrt_binary64_12241`
27×	`log-pow_binary64_12295`
16×	`distribute-lft-out_binary64_12162`
13×	`distribute-lft-out--_binary64_12163` `difference-of-squares_binary64_12178`
6×	`associate-/r/_binary64_12157`
5×	`associate-/r*_binary64_12155` `add-cbrt-cube_binary64_12242` `add-exp-log_binary64_12244`
4×	`pow1_binary64_12267` `add-log-exp_binary64_12245` `associate-/l*_binary64_12156`
3×	`flip--_binary64_12184` `flip3--_binary64_12213` `div-inv_binary64_12206` `log-prod_binary64_12292`
2×	`associate-/l/_binary64_12158`
1×	`rem-log-exp_binary64_12247` `clear-num_binary64_12208` `flip3-+_binary64_12212` `cbrt-undiv_binary64_12240` `div-exp_binary64_12257` `flip-+_binary64_12183` `rem-exp-log_binary64_12246` `frac-2neg_binary64_12220`

Counts

3 → 117

Calls

3 calls:

12.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
10.0ms	(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
9.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

series311.0ms (10%)

Counts

3 → 9

Calls

3 calls:

115.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
106.0ms	(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
90.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

simplify73.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4966	1783
1	4966	1783

prune84.0ms (2.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	126	5	131

Merged error: 0b

Counts

131 → 5

Compiler

Compiled 1964 to 398 computations (79.7% saved)

regimes128.0ms (4.1%)

Compiler: Compiled 1228 to 698 computations (43.2% 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%)

sample717.0ms (23%)

Algorithm

1×

intervals

Results

193.0ms

8000×

body

128

valid

Compiler

Compiled 402 to 228 computations (43.3% saved)

Details

analyze26.0ms (0.8%)

sample16.0ms (0.5%)

simplify157.0ms (5%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite14.0ms (0.5%)

series87.0ms (2.8%)

simplify62.0ms (2%)

prune47.0ms (1.5%)

localize6.0ms (0.2%)

rewrite42.0ms (1.4%)

series176.0ms (5.6%)

simplify90.0ms (2.9%)

prune127.0ms (4.1%)

localize7.0ms (0.2%)

rewrite96.0ms (3.1%)

series543.0ms (17.4%)

simplify88.0ms (2.8%)

prune160.0ms (5.1%)

localize8.0ms (0.3%)

rewrite43.0ms (1.4%)

series311.0ms (10%)

simplify73.0ms (2.3%)

prune84.0ms (2.7%)

regimes128.0ms (4.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample717.0ms (23%)

Profiling