Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	56.2%	43.8%	0
0%	56.2%	43.8%	1
0%	56.2%	43.8%	2
42.1%	14%	43.8%	3
42.1%	14%	43.8%	4
52.7%	3.5%	43.8%	5
56.2%	0%	43.8%	6

Compiler

Compiled 44 to 29 computations (34.1% saved)

sample1.2s (23.3%)

Symmetry

(sort alpha beta)

Results

1.2s

8256×

body

128

valid

Compiler

Compiled 125 to 82 computations (34.4% saved)

simplify25.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

689×	`distribute-rgt-in_binary64`
661×	`distribute-lft-in_binary64`
470×	`associate-l_binary64`
388×	`associate-+r+_binary64`
387×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	36	38
2	117	38
3	625	37
4	4291	37
5	4944	37

Stop Event

1×	node limit

Counts

1 → 2

prune9.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

1.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	1.5b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
	3.1b	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))

Status

Error

Program

▶

1.5b

(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))

3.1b

(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))

Compiler

Compiled 190 to 127 computations (33.2% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3)))
✓	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓	0.1b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
✓	19.6b	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

series127.0ms (2.4%)

Counts

4 → 96

Calls

4 calls:

73.0ms	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
31.0ms	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
16.0ms	(/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3)))
7.0ms	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))

rewrite41.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

201×	`add-sqr-sqrt_binary64`
197×	`log1p-expm1-u_binary64`
197×	`expm1-log1p-u_binary64`
193×	`add-cbrt-cube_binary64`
189×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	70
1	398	70

Stop Event

1×	node limit

Counts

4 → 121

Calls

4 calls:

38.0ms	(/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3)))
38.0ms	(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
38.0ms	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 beta 1) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
38.0ms	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

simplify94.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

812×	`fma-def_binary64`
798×	`times-frac_binary64`
289×	`+-commutative_binary64`
228×	`associate-+r+_binary64`
181×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	762	8369
1	2739	8280

Stop Event

1×	node limit

Counts

217 → 229

prune408.0ms (7.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	224	5	229
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	226	5	231

Error

0.0b

Counts

231 → 5

Alt Table

Status	Error	Program
	1.1b	(/.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 beta 1) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))) (+.f64 beta (+.f64 alpha 3)))
	0.5b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2))))
	1.4b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 beta 1) (+.f64 (fma.f64 beta 4 4) (fma.f64 alpha alpha (fma.f64 beta beta (fma.f64 alpha 4 (.f64 (*.f64 2 beta) alpha)))))))
▶	0.1b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2)))))
	1.2b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (.f64 (+.f64 beta 1) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))

Compiler

Compiled 13793 to 10113 computations (26.7% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3)))
✓	0.0b	(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
✓	0.0b	(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))))
✓	0.1b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2)))))

series116.0ms (2.2%)

Counts

3 → 72

Calls

3 calls:

75.0ms

(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2)))))

29.0ms

(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))))

12.0ms

(/.f64 1 (+.f64 alpha (+.f64 beta 2)))

rewrite39.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

208×	`add-sqr-sqrt_binary64`
202×	`log1p-expm1-u_binary64`
202×	`expm1-log1p-u_binary64`
198×	`add-cbrt-cube_binary64`
194×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	69
1	417	57

Stop Event

1×	node limit

Counts

3 → 95

Calls

3 calls:

37.0ms

(/.f64 1 (+.f64 alpha (+.f64 beta 2)))

37.0ms

(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))))

37.0ms

(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2)))))

simplify88.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

757×	`fma-def_binary64`
755×	`times-frac_binary64`
258×	`+-commutative_binary64`
202×	`associate-+r+_binary64`
175×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	705	7516
1	2575	7491

Stop Event

1×	node limit

Counts

167 → 178

prune422.0ms (7.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	232	1	233
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	232	6	238

Error

Counts

238 → 6

Alt Table

Status	Error	Program
	1.1b	(/.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 beta 1) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))) (+.f64 beta (+.f64 alpha 3)))
▶	0.5b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2))))
	1.4b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 beta 1) (+.f64 (fma.f64 beta 4 4) (fma.f64 alpha alpha (fma.f64 beta beta (fma.f64 alpha 4 (.f64 (*.f64 2 beta) alpha)))))))
✓	0.1b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2)))))
	1.2b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (.f64 (+.f64 beta 1) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
	0.9b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) 3) (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2)))))

Compiler

Compiled 14589 to 10736 computations (26.4% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2)))
✓	0.0b	(/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))
✓	0.0b	(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2)))
✓	0.5b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2))))

series128.0ms (2.4%)

Counts

4 → 96

Calls

4 calls:

74.0ms	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2))))
31.0ms	(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2)))
15.0ms	(/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2)))
8.0ms	(/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))

rewrite51.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

204×	`add-sqr-sqrt_binary64`
199×	`log1p-expm1-u_binary64`
199×	`expm1-log1p-u_binary64`
195×	`add-cbrt-cube_binary64`
191×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	85
1	402	85

Stop Event

1×	node limit

Counts

4 → 127

Calls

4 calls:

48.0ms	(/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2)))
48.0ms	(/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))
48.0ms	(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2)))
48.0ms	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2))))

simplify89.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

747×	`times-frac_binary64`
645×	`fma-def_binary64`
569×	`associate-/l*_binary64`
240×	`+-commutative_binary64`
188×	`associate-+r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	634	7206
1	2345	7174

Stop Event

1×	node limit

Counts

223 → 233

prune471.0ms (8.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	232	1	233
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	233	6	239

Error

Counts

239 → 6

Alt Table

Status	Error	Program
	1.1b	(/.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 beta 1) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))) (+.f64 beta (+.f64 alpha 3)))
✓	0.5b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2))))
	1.4b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 beta 1) (+.f64 (fma.f64 beta 4 4) (fma.f64 alpha alpha (fma.f64 beta beta (fma.f64 alpha 4 (.f64 (*.f64 2 beta) alpha)))))))
✓	0.1b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2)))))
	1.2b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (.f64 (+.f64 beta 1) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
▶	0.6b	(.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 1 alpha)))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 13236 to 9452 computations (28.6% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 1 alpha)))
✓	0.1b	(.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 1 alpha)))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))))
✓	0.2b	(/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
✓	8.4b	(/.f64 (sqrt.f64 (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 1 alpha))))

series240.0ms (4.5%)

Counts

4 → 80

Calls

4 calls:

92.0ms	(/.f64 (sqrt.f64 (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 1 alpha))))
80.0ms	(.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 1 alpha)))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))))
51.0ms	(/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
16.0ms	(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 1 alpha)))

rewrite67.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

217×	`add-sqr-sqrt_binary64`
211×	`log1p-expm1-u_binary64`
211×	`expm1-log1p-u_binary64`
207×	`add-cbrt-cube_binary64`
203×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	104
1	438	104

Stop Event

1×	node limit

Counts

4 → 145

Calls

4 calls:

61.0ms	(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 1 alpha)))
61.0ms	(.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 1 alpha)))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))))
61.0ms	(/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
61.0ms	(/.f64 (sqrt.f64 (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 1 alpha))))

simplify111.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

824×	`associate-/l*_binary64`
295×	`+-commutative_binary64`
240×	`fma-def_binary64`
236×	`associate-+r+_binary64`
231×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	836	9471
1	3151	9250

Stop Event

1×	node limit

Counts

225 → 248

prune525.0ms (9.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	248	0	248
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	248	6	254

Error

Counts

254 → 6

Alt Table

Status	Error	Program
	1.1b	(/.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 beta 1) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))) (+.f64 beta (+.f64 alpha 3)))
✓	0.5b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2))))
	1.4b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 beta 1) (+.f64 (fma.f64 beta 4 4) (fma.f64 alpha alpha (fma.f64 beta beta (fma.f64 alpha 4 (.f64 (*.f64 2 beta) alpha)))))))
✓	0.1b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2)))))
	1.2b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (.f64 (+.f64 beta 1) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
✓	0.6b	(.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 1 alpha)))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))))

Compiler

Compiled 17292 to 12513 computations (27.6% saved)

regimes826.0ms (15.6%)

Accuracy

Total 0.1b remaining (89.8%)

Threshold costs 0.1b (89.8%)

Counts

198 → 1

Compiler

Compiled 16310 to 12158 computations (25.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	44
1	29	44

Stop Event

1×

saturated

end136.0ms (2.6%)

Remove: (sort alpha beta)
Compiler: Compiled 294 to 213 computations (27.6% saved)

Details

analyze3.0ms (0.1%)

sample1.2s (23.3%)

simplify25.0ms (0.5%)

prune9.0ms (0.2%)

localize12.0ms (0.2%)

series127.0ms (2.4%)

rewrite41.0ms (0.8%)

simplify94.0ms (1.8%)

prune408.0ms (7.7%)

localize13.0ms (0.3%)

series116.0ms (2.2%)

rewrite39.0ms (0.7%)

simplify88.0ms (1.7%)

prune422.0ms (7.9%)

localize13.0ms (0.2%)

series128.0ms (2.4%)

rewrite51.0ms (1%)

simplify89.0ms (1.7%)

prune471.0ms (8.9%)

localize16.0ms (0.3%)

series240.0ms (4.5%)

rewrite67.0ms (1.3%)

simplify111.0ms (2.1%)

prune525.0ms (9.9%)

regimes826.0ms (15.6%)

simplify2.0ms (0%)

end136.0ms (2.6%)

Profiling