Details

analyze53.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	14%	86%	0
0%	14%	86%	1
0%	14%	86%	2
0%	14%	86%	3
0%	14%	86%	4
0%	14%	86%	5
0%	14%	86%	6
8.1%	5.9%	86%	7
10.3%	3.7%	86%	8
12.6%	1.5%	86%	9
13.9%	0.1%	86%	10
14%	0%	86%	11
14%	0%	86%	12
14%	0%	86%	13
14%	0%	86%	14

Compiler

Compiled 67 to 35 computations (47.8% saved)

sample1.5s (6.2%)

Symmetry

(sort alpha beta)

Results

1.5s

8256×

body

128

valid

Compiler

Compiled 190 to 97 computations (48.9% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

684×	`associate-+l+_binary64`
483×	`associate-l_binary64`
418×	`associate-r_binary64`
369×	`times-frac_binary64`
337×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	75
1	67	67
2	332	67
3	2169	67

Stop Event

1×	node limit

Counts

1 → 2

prune5.0ms (0%)

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

46.6b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	47.8b	(.f64 (.f64 (/.f64 i (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 i (+.f64 alpha beta))) (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (.f64 (+.f64 alpha (fma.f64 i 2 beta)) (fma.f64 (+.f64 alpha (fma.f64 i 2 beta)) (+.f64 alpha (fma.f64 i 2 beta)) -1))))
	52.0b	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))

Status

Error

Program

▶

47.8b

(*.f64 (*.f64 (/.f64 i (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 i (+.f64 alpha beta))) (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (*.f64 (+.f64 alpha (fma.f64 i 2 beta)) (fma.f64 (+.f64 alpha (fma.f64 i 2 beta)) (+.f64 alpha (fma.f64 i 2 beta)) -1))))

52.0b

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

Compiler

Compiled 315 to 155 computations (50.8% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 alpha (fma.f64 i 2 beta)) (fma.f64 (+.f64 alpha (fma.f64 i 2 beta)) (+.f64 alpha (fma.f64 i 2 beta)) -1))
✓	0.5b	(/.f64 i (+.f64 alpha (fma.f64 i 2 beta)))
✓	2.8b	(.f64 (.f64 (/.f64 i (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 i (+.f64 alpha beta))) (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (.f64 (+.f64 alpha (fma.f64 i 2 beta)) (fma.f64 (+.f64 alpha (fma.f64 i 2 beta)) (+.f64 alpha (fma.f64 i 2 beta)) -1))))
✓	46.7b	(/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (.f64 (+.f64 alpha (fma.f64 i 2 beta)) (fma.f64 (+.f64 alpha (fma.f64 i 2 beta)) (+.f64 alpha (fma.f64 i 2 beta)) -1)))

series1.5s (5.9%)

Counts

4 → 144

Calls

4 calls:

1.0s	(.f64 (.f64 (/.f64 i (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 i (+.f64 alpha beta))) (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (.f64 (+.f64 alpha (fma.f64 i 2 beta)) (fma.f64 (+.f64 alpha (fma.f64 i 2 beta)) (+.f64 alpha (fma.f64 i 2 beta)) -1))))
406.0ms	(/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (.f64 (+.f64 alpha (fma.f64 i 2 beta)) (fma.f64 (+.f64 alpha (fma.f64 i 2 beta)) (+.f64 alpha (fma.f64 i 2 beta)) -1)))
32.0ms	(*.f64 (+.f64 alpha (fma.f64 i 2 beta)) (fma.f64 (+.f64 alpha (fma.f64 i 2 beta)) (+.f64 alpha (fma.f64 i 2 beta)) -1))
27.0ms	(/.f64 i (+.f64 alpha (fma.f64 i 2 beta)))

rewrite46.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

211×	`add-sqr-sqrt_binary64`
200×	`add-cbrt-cube_binary64`
200×	`log1p-expm1-u_binary64`
200×	`expm1-log1p-u_binary64`
195×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	152
1	411	137

Stop Event

1×	node limit

Counts

4 → 98

Calls

4 calls:

43.0ms	(*.f64 (+.f64 alpha (fma.f64 i 2 beta)) (fma.f64 (+.f64 alpha (fma.f64 i 2 beta)) (+.f64 alpha (fma.f64 i 2 beta)) -1))
43.0ms	(/.f64 i (+.f64 alpha (fma.f64 i 2 beta)))
43.0ms	(.f64 (.f64 (/.f64 i (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 i (+.f64 alpha beta))) (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (.f64 (+.f64 alpha (fma.f64 i 2 beta)) (fma.f64 (+.f64 alpha (fma.f64 i 2 beta)) (+.f64 alpha (fma.f64 i 2 beta)) -1))))
43.0ms	(/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta)) (.f64 (+.f64 alpha (fma.f64 i 2 beta)) (fma.f64 (+.f64 alpha (fma.f64 i 2 beta)) (+.f64 alpha (fma.f64 i 2 beta)) -1)))

simplify312.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

860×	`fma-def_binary64`
570×	`associate-/l*_binary64`
511×	`times-frac_binary64`
69×	`sub-neg_binary64`
56×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2906	51644

Stop Event

1×	node limit

Counts

242 → 276

prune1.4s (5.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	270	6	276
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	272	6	278

Error

9.1b

Counts

278 → 6

Alt Table

Status	Error	Program
▶	16.7b	1/16
	55.8b	(/.f64 (+.f64 i alpha) (/.f64 (*.f64 beta beta) i))
	56.5b	(/.f64 (*.f64 (+.f64 i alpha) i) (pow.f64 beta 2))
	43.7b	(.f64 (/.f64 (fma.f64 i alpha (.f64 i i)) (+.f64 (fma.f64 4 (.f64 i alpha) (+.f64 (.f64 alpha alpha) (.f64 4 (.f64 i i)))) -1)) (/.f64 (*.f64 i (+.f64 i alpha)) (pow.f64 (fma.f64 2 i alpha) 2)))
	38.1b	(.f64 (.f64 (/.f64 i (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 i (+.f64 alpha beta))) (pow.f64 (sqrt.f64 (/.f64 (/.f64 (fma.f64 i (+.f64 (+.f64 i alpha) beta) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 i 2 beta)) 2) -1))) 2))
	53.9b	(/.f64 (.f64 i (.f64 (+.f64 (pow.f64 i 2) (.f64 beta i)) (+.f64 beta i))) (.f64 (pow.f64 (+.f64 beta (.f64 2 i)) 2) (-.f64 (+.f64 (pow.f64 beta 2) (+.f64 (.f64 4 (pow.f64 i 2)) (.f64 4 (.f64 beta i)))) 1)))

Compiler

Compiled 75100 to 46188 computations (38.5% saved)

localize0.0ms (0%)

prune7.0ms (0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	0	0
Total	6	6

Error

9.1b

Counts

6 → 6

Alt Table

Status	Error	Program
✓	16.7b	1/16
	55.8b	(/.f64 (+.f64 i alpha) (/.f64 (*.f64 beta beta) i))
	56.5b	(/.f64 (*.f64 (+.f64 i alpha) i) (pow.f64 beta 2))
	43.7b	(.f64 (/.f64 (fma.f64 i alpha (.f64 i i)) (+.f64 (fma.f64 4 (.f64 i alpha) (+.f64 (.f64 alpha alpha) (.f64 4 (.f64 i i)))) -1)) (/.f64 (*.f64 i (+.f64 i alpha)) (pow.f64 (fma.f64 2 i alpha) 2)))
▶	38.1b	(.f64 (.f64 (/.f64 i (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 i (+.f64 alpha beta))) (pow.f64 (sqrt.f64 (/.f64 (/.f64 (fma.f64 i (+.f64 (+.f64 i alpha) beta) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 i 2 beta)) 2) -1))) 2))
	53.9b	(/.f64 (.f64 i (.f64 (+.f64 (pow.f64 i 2) (.f64 beta i)) (+.f64 beta i))) (.f64 (pow.f64 (+.f64 beta (.f64 2 i)) 2) (-.f64 (+.f64 (pow.f64 beta 2) (+.f64 (.f64 4 (pow.f64 i 2)) (.f64 4 (.f64 beta i)))) 1)))

Compiler

Compiled 312 to 198 computations (36.5% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.8b	(.f64 (.f64 (/.f64 i (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 i (+.f64 alpha beta))) (pow.f64 (sqrt.f64 (/.f64 (/.f64 (fma.f64 i (+.f64 (+.f64 i alpha) beta) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 i 2 beta)) 2) -1))) 2))
✓	5.6b	(sqrt.f64 (/.f64 (/.f64 (fma.f64 i (+.f64 (+.f64 i alpha) beta) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 i 2 beta)) 2) -1)))
✓	31.4b	(/.f64 (/.f64 (fma.f64 i (+.f64 (+.f64 i alpha) beta) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 i 2 beta)) 2) -1))
✓	33.8b	(/.f64 (fma.f64 i (+.f64 (+.f64 i alpha) beta) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta)))

series6.9s (27.7%)

Counts

4 → 136

Calls

4 calls:

5.2s	(sqrt.f64 (/.f64 (/.f64 (fma.f64 i (+.f64 (+.f64 i alpha) beta) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 i 2 beta)) 2) -1)))
1.1s	(.f64 (.f64 (/.f64 i (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 i (+.f64 alpha beta))) (pow.f64 (sqrt.f64 (/.f64 (/.f64 (fma.f64 i (+.f64 (+.f64 i alpha) beta) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 i 2 beta)) 2) -1))) 2))
473.0ms	(/.f64 (/.f64 (fma.f64 i (+.f64 (+.f64 i alpha) beta) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 i 2 beta)) 2) -1))
52.0ms	(/.f64 (fma.f64 i (+.f64 (+.f64 i alpha) beta) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta)))

rewrite42.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

249×	`log1p-expm1-u_binary64`
249×	`expm1-log1p-u_binary64`
247×	`add-cbrt-cube_binary64`
240×	`add-log-exp_binary64`
239×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	168
1	548	168

Stop Event

1×	node limit

Counts

4 → 73

Calls

4 calls:

39.0ms	(.f64 (.f64 (/.f64 i (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 i (+.f64 alpha beta))) (pow.f64 (sqrt.f64 (/.f64 (/.f64 (fma.f64 i (+.f64 (+.f64 i alpha) beta) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 i 2 beta)) 2) -1))) 2))
39.0ms	(sqrt.f64 (/.f64 (/.f64 (fma.f64 i (+.f64 (+.f64 i alpha) beta) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 i 2 beta)) 2) -1)))
39.0ms	(/.f64 (/.f64 (fma.f64 i (+.f64 (+.f64 i alpha) beta) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 i 2 beta)) 2) -1))
39.0ms	(/.f64 (fma.f64 i (+.f64 (+.f64 i alpha) beta) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta)))

simplify681.0ms (2.8%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6429	125969

Stop Event

1×	node limit

Counts

209 → 174

prune2.3s (9.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	172	2	174
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	174	6	180

Error

3.5b

Counts

180 → 6

Alt Table

Status	Error	Program
✓	16.7b	1/16
▶	38.2b	(.f64 (.f64 (/.f64 i (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 i (+.f64 alpha beta))) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta)))) 2) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 i 2 beta)) 2) -1))) 2))
	49.9b	(.f64 (.f64 (/.f64 i (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 i (+.f64 alpha beta))) (pow.f64 (*.f64 (/.f64 1 beta) (sqrt.f64 (+.f64 i alpha))) 2))
	56.5b	(/.f64 (*.f64 (+.f64 i alpha) i) (pow.f64 beta 2))
✓	38.1b	(.f64 (.f64 (/.f64 i (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 i (+.f64 alpha beta))) (pow.f64 (sqrt.f64 (/.f64 (/.f64 (fma.f64 i (+.f64 (+.f64 i alpha) beta) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 i 2 beta)) 2) -1))) 2))
	53.9b	(/.f64 (.f64 i (.f64 (+.f64 (pow.f64 i 2) (.f64 beta i)) (+.f64 beta i))) (.f64 (pow.f64 (+.f64 beta (.f64 2 i)) 2) (-.f64 (+.f64 (pow.f64 beta 2) (+.f64 (.f64 4 (pow.f64 i 2)) (.f64 4 (.f64 beta i)))) 1)))

Compiler

Compiled 86897 to 61979 computations (28.7% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.8b	(.f64 (.f64 (/.f64 i (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 i (+.f64 alpha beta))) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta)))) 2) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 i 2 beta)) 2) -1))) 2))
✓	5.6b	(sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta)))) 2) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 i 2 beta)) 2) -1)))
✓	31.4b	(/.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta)))) 2) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 i 2 beta)) 2) -1))
✓	33.8b	(/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta)))

series6.5s (26.2%)

Counts

4 → 136

Calls

4 calls:

5.0s	(sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta)))) 2) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 i 2 beta)) 2) -1)))
971.0ms	(.f64 (.f64 (/.f64 i (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 i (+.f64 alpha beta))) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta)))) 2) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 i 2 beta)) 2) -1))) 2))
425.0ms	(/.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta)))) 2) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 i 2 beta)) 2) -1))
44.0ms	(/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta)))

rewrite43.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

242×	`add-sqr-sqrt_binary64`
235×	`log1p-expm1-u_binary64`
235×	`expm1-log1p-u_binary64`
232×	`add-cbrt-cube_binary64`
226×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	168
1	529	168

Stop Event

1×	node limit

Counts

4 → 75

Calls

4 calls:

40.0ms	(.f64 (.f64 (/.f64 i (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 i (+.f64 alpha beta))) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta)))) 2) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 i 2 beta)) 2) -1))) 2))
40.0ms	(sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta)))) 2) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 i 2 beta)) 2) -1)))
40.0ms	(/.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta)))) 2) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 i 2 beta)) 2) -1))
40.0ms	(/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta)))

simplify675.0ms (2.7%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6429	125969

Stop Event

1×	node limit

Counts

211 → 176

prune1.7s (6.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	176	6	182

Error

3.5b

Counts

182 → 6

Alt Table

Status	Error	Program
✓	16.7b	1/16
✓	38.2b	(.f64 (.f64 (/.f64 i (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 i (+.f64 alpha beta))) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta)))) 2) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 i 2 beta)) 2) -1))) 2))
	49.9b	(.f64 (.f64 (/.f64 i (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 i (+.f64 alpha beta))) (pow.f64 (*.f64 (/.f64 1 beta) (sqrt.f64 (+.f64 i alpha))) 2))
	56.5b	(/.f64 (*.f64 (+.f64 i alpha) i) (pow.f64 beta 2))
✓	38.1b	(.f64 (.f64 (/.f64 i (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 i (+.f64 alpha beta))) (pow.f64 (sqrt.f64 (/.f64 (/.f64 (fma.f64 i (+.f64 (+.f64 i alpha) beta) (*.f64 alpha beta)) (+.f64 alpha (fma.f64 i 2 beta))) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 i 2 beta)) 2) -1))) 2))
	53.9b	(/.f64 (.f64 i (.f64 (+.f64 (pow.f64 i 2) (.f64 beta i)) (+.f64 beta i))) (.f64 (pow.f64 (+.f64 beta (.f64 2 i)) 2) (-.f64 (+.f64 (pow.f64 beta 2) (+.f64 (.f64 4 (pow.f64 i 2)) (.f64 4 (.f64 beta i)))) 1)))

Compiler

Compiled 87014 to 62080 computations (28.7% saved)

regimes803.0ms (3.3%)

Accuracy

Total 4.0b remaining (31.5%)

Threshold costs 0b (0%)

Counts

60 → 2

Compiler

Compiled 23344 to 14397 computations (38.3% saved)

bsearch36.0ms (0.1%)

Steps

Iters	Range		Point
8	7.126727828654496e+143	6.218359693283942e+146	2.0722644007732842e+144

Compiler

Compiled 4 to 3 computations (25% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	72
1	40	72

Stop Event

1×

saturated

end135.0ms (0.5%)

Remove: (sort alpha beta)
Compiler: Compiled 399 to 252 computations (36.8% saved)

Details

analyze53.0ms (0.2%)

sample1.5s (6.2%)

simplify18.0ms (0.1%)

prune5.0ms (0%)

localize18.0ms (0.1%)

series1.5s (5.9%)

rewrite46.0ms (0.2%)

simplify312.0ms (1.3%)

prune1.4s (5.7%)

localize0.0ms (0%)

prune7.0ms (0%)

localize29.0ms (0.1%)

series6.9s (27.7%)

rewrite42.0ms (0.2%)

simplify681.0ms (2.8%)

prune2.3s (9.4%)

localize23.0ms (0.1%)

series6.5s (26.2%)

rewrite43.0ms (0.2%)

simplify675.0ms (2.7%)

prune1.7s (6.9%)

regimes803.0ms (3.3%)

bsearch36.0ms (0.1%)

simplify2.0ms (0%)

end135.0ms (0.5%)

Profiling