Details

analyze2.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	56.2%	43.8%	0
0%	56.2%	43.8%	1
28.1%	28.1%	43.8%	2
56.2%	0%	43.8%	3

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.5s (16.9%)

Results

714.0ms	6108×	body	128	valid
419.0ms	1131×	body	1024	valid
179.0ms	598×	body	512	valid
66.0ms	322×	body	256	valid
42.0ms	97×	body	2048	valid

Compiler

Compiled 59 to 43 computations (27.1% saved)

simplify37.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

434×	`cancel-sign-sub-inv_binary64`
372×	`div-sub_binary64`
343×	`sub-neg_binary64`
331×	`fma-neg_binary64`
292×	`fma-def_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	23	19
2	40	19
3	67	19
4	118	19
5	238	17
6	445	17
7	753	17
8	1572	17
9	3643	17

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

13.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	13.4b	(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))

Compiler

Compiled 55 to 39 computations (29.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4))
✓	1.8b	(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))

series49.0ms (0.6%)

Counts

2 → 48

Calls

2 calls:

33.0ms	(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))
16.0ms	(/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4))

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

408×	`fma-def_binary64`
244×	`fma-neg_binary64`
239×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`
133×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	261	31
2	3736	31

Stop Event

1×	node limit

Counts

2 → 106

Calls

2 calls:

57.0ms	(/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4))
57.0ms	(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) -2 -4)))

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

772×	`times-frac_binary64`
643×	`fma-def_binary64`
300×	`sub-neg_binary64`
266×	`cancel-sign-sub-inv_binary64`
156×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	2456
1	569	2372
2	2263	2234

Stop Event

1×	node limit

Counts

154 → 166

prune185.0ms (2.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	162	4	166
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	163	4	167

Error

0.0b

Counts

167 → 4

Alt Table

Status	Error	Program
	13.4b	(/.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) (-.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2) 1/4) (+.f64 1/8 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3))))
	49.0b	(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (/.f64 -2 (.f64 alpha alpha)) (.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))))
	51.1b	(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3)))) (pow.f64 (/.f64 beta alpha) 3))) (-.f64 (/.f64 -2 (.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (fma.f64 18 (/.f64 beta (/.f64 (pow.f64 alpha 4) beta)) (fma.f64 20 (/.f64 beta (pow.f64 alpha 4)) (.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))))) (fma.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4)) (/.f64 8 (pow.f64 alpha 4))))))
▶	13.4b	(exp.f64 (log.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))))

Compiler

Compiled 5300 to 3460 computations (34.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4))
✓	0.1b	(exp.f64 (log.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))))
✓	1.8b	(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))
✓	2.6b	(log.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4))))

series173.0ms (2%)

Counts

4 → 96

Calls

4 calls:

90.0ms	(log.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4))))
29.0ms	(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))
28.0ms	(exp.f64 (log.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))))
25.0ms	(/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4))

rewrite125.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

799×	`prod-diff_binary64`
274×	`egg-rr`
138×	`add-sqr-sqrt_binary64`
134×	`log1p-expm1-u_binary64`
134×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	67
1	278	67
2	3780	67

Stop Event

1×	node limit

Counts

4 → 274

Calls

4 calls:

113.0ms	(/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4))
113.0ms	(exp.f64 (log.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))))
113.0ms	(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))
113.0ms	(log.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4))))

simplify119.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

603×	`times-frac_binary64`
592×	`associate-/r*_binary64`
510×	`fma-def_binary64`
393×	`associate-/l*_binary64`
188×	`+-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	533	8022
1	1920	7756

Stop Event

1×	node limit

Counts

370 → 337

prune527.0ms (6.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	337	0	337
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	337	4	341

Error

0.0b

Counts

341 → 4

Alt Table

Status	Error	Program
▶	13.4b	(/.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) (-.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2) 1/4) (+.f64 1/8 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3))))
	49.0b	(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (/.f64 -2 (.f64 alpha alpha)) (.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))))
	51.1b	(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3)))) (pow.f64 (/.f64 beta alpha) 3))) (-.f64 (/.f64 -2 (.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (fma.f64 18 (/.f64 beta (/.f64 (pow.f64 alpha 4) beta)) (fma.f64 20 (/.f64 beta (pow.f64 alpha 4)) (.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))))) (fma.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4)) (/.f64 8 (pow.f64 alpha 4))))))
✓	13.4b	(exp.f64 (log.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))))

Compiler

Compiled 22107 to 14723 computations (33.4% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) (-.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2) 1/4) (+.f64 1/8 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3))))
✓	0.1b	(pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3)
✓	1.7b	(+.f64 1/8 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3))
✓	2.5b	(-.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)

series973.0ms (11.2%)

Counts

4 → 96

Calls

4 calls:

762.0ms	(/.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) (-.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2) 1/4) (+.f64 1/8 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3))))
143.0ms	(+.f64 1/8 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3))
39.0ms	(pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3)
27.0ms	(-.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)

rewrite46.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

219×	`add-sqr-sqrt_binary64`
214×	`add-cbrt-cube_binary64`
213×	`log1p-expm1-u_binary64`
213×	`expm1-log1p-u_binary64`
207×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	113
1	458	113

Stop Event

1×	node limit

Counts

4 → 94

Calls

4 calls:

43.0ms	(/.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) (-.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2) 1/4) (+.f64 1/8 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3))))
43.0ms	(pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3)
43.0ms	(+.f64 1/8 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3))
43.0ms	(-.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)

simplify175.0ms (2%)

Algorithm

1×	egg-herbie

Rules

490×	`associate-+r+_binary64`
478×	`fma-def_binary64`
355×	`associate-*r/_binary64`
293×	`associate-/l*_binary64`
239×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1581	27097

Stop Event

1×	node limit

Counts

190 → 215

prune950.0ms (10.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	214	1	215
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	214	5	219

Error

0.0b

Counts

219 → 5

Alt Table

Status	Error	Program
✓	13.4b	(/.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) (-.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2) 1/4) (+.f64 1/8 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3))))
	49.0b	(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (/.f64 -2 (.f64 alpha alpha)) (.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))))
	51.1b	(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3)))) (pow.f64 (/.f64 beta alpha) 3))) (-.f64 (/.f64 -2 (.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (fma.f64 18 (/.f64 beta (/.f64 (pow.f64 alpha 4) beta)) (fma.f64 20 (/.f64 beta (pow.f64 alpha 4)) (.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))))) (fma.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4)) (/.f64 8 (pow.f64 alpha 4))))))
✓	13.4b	(exp.f64 (log.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))))
▶	13.4b	(/.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) (-.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2) 1/4) (/.f64 (+.f64 1/512 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 9)) (+.f64 1/64 (-.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 6) (*.f64 1/8 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3)))))))

Compiler

Compiled 43960 to 32921 computations (25.1% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 9)
✓	1.7b	(+.f64 1/512 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 9))
✓	2.5b	(-.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 6) (*.f64 1/8 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3)))
	2.5b	(-.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2)

series1.7s (19.7%)

Counts

3 → 72

Calls

3 calls:

965.0ms

(+.f64 1/512 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 9))

677.0ms

(-.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 6) (*.f64 1/8 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3)))

70.0ms

(pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 9)

rewrite48.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

218×	`log1p-expm1-u_binary64`
218×	`expm1-log1p-u_binary64`
215×	`add-cbrt-cube_binary64`
212×	`add-sqr-sqrt_binary64`
206×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	76
1	464	76

Stop Event

1×	node limit

Counts

3 → 78

Calls

3 calls:

44.0ms

(pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 9)

44.0ms

(+.f64 1/512 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 9))

44.0ms

(-.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 6) (*.f64 1/8 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3)))

simplify115.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

583×	`fma-def_binary64`
560×	`associate-+r+_binary64`
398×	`associate-*r/_binary64`
304×	`associate-/l*_binary64`
84×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1842	15921

Stop Event

1×	node limit

Counts

150 → 169

prune855.0ms (9.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	224	1	225
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	225	5	230

Error

0.0b

Counts

230 → 5

Alt Table

Status	Error	Program
✓	13.4b	(/.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) (-.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2) 1/4) (+.f64 1/8 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3))))
	49.0b	(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3))))) (+.f64 (pow.f64 (/.f64 beta alpha) 3) (-.f64 (/.f64 -2 (.f64 alpha alpha)) (.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha))))))
	51.1b	(+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (+.f64 (fma.f64 8 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta alpha)) (fma.f64 5 (/.f64 beta (/.f64 (pow.f64 alpha 3) beta)) (/.f64 4 (pow.f64 alpha 3)))) (pow.f64 (/.f64 beta alpha) 3))) (-.f64 (/.f64 -2 (.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 alpha 4)) (fma.f64 18 (/.f64 beta (/.f64 (pow.f64 alpha 4) beta)) (fma.f64 20 (/.f64 beta (pow.f64 alpha 4)) (.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 3 alpha)))))) (fma.f64 7 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 4)) (/.f64 8 (pow.f64 alpha 4))))))
✓	13.4b	(exp.f64 (log.f64 (+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)))))
	13.4b	(/.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) (-.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 1/2) 1/4) (/.f64 (+.f64 1/512 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 9)) (+.f64 1/64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 6) (*.f64 -1/8 (pow.f64 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 alpha beta) -2 -4)) 3)))) 3)))))

Compiler

Compiled 38324 to 26930 computations (29.7% saved)

regimes734.0ms (8.5%)

Accuracy

Total 0.0b remaining (23.2%)

Threshold costs 0.0b (23.2%)

Counts

104 → 2

Compiler

Compiled 15918 to 11099 computations (30.3% saved)

bsearch5.0ms (0.1%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

17×	`+-commutative_binary64`
9×	`sub-neg_binary64`
7×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	117
1	66	117
2	84	117
3	97	117
4	110	117
5	113	117
6	114	117

Stop Event

1×

saturated

end198.0ms (2.3%)

Compiler: Compiled 446 to 286 computations (35.9% saved)

Details

analyze2.0ms (0%)

sample1.5s (16.9%)

simplify37.0ms (0.4%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series49.0ms (0.6%)

rewrite60.0ms (0.7%)

simplify60.0ms (0.7%)

prune185.0ms (2.1%)

localize11.0ms (0.1%)

series173.0ms (2%)

rewrite125.0ms (1.4%)

simplify119.0ms (1.4%)

prune527.0ms (6.1%)

localize17.0ms (0.2%)

series973.0ms (11.2%)

rewrite46.0ms (0.5%)

simplify175.0ms (2%)

prune950.0ms (10.9%)

localize21.0ms (0.2%)

series1.7s (19.7%)

rewrite48.0ms (0.6%)

simplify115.0ms (1.3%)

prune855.0ms (9.9%)

regimes734.0ms (8.5%)

bsearch5.0ms (0.1%)

simplify5.0ms (0.1%)

end198.0ms (2.3%)

Profiling