Details

analyze329.0ms (5.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 43 to 31 computations (27.9% saved)

sample121.0ms (2%)

Algorithm

1×

intervals

Results

17.0ms	248×	body	128	valid
11.0ms	286×	pre	128	true
2.0ms	30×	body	128	nan
1.0ms	8×	body	256	valid

Compiler

Compiled 66 to 48 computations (27.3% saved)

simplify263.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1743×	`fma-neg_binary64`
1393×	`fma-def_binary64`
800×	`div-sub_binary64`
619×	`times-frac_binary64`
473×	`associate-/r/_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	33	22
2	67	22
3	138	22
4	204	22
5	338	22
6	558	22
7	924	22
8	1388	22
9	1604	22
10	2375	22
11	2742	22
12	2533	22
13	2621	22
14	3171	22
15	3313	22
16	3873	22
17	3679	22
18	4029	22
19	4317	22
20	4485	22
21	4561	22
22	4805	22
23	4793	22
24	4797	22
25	4797	22
26	4948	22

prune4.0ms (0.1%)

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

26.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	26.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
▶	26.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))

Compiler

Compiled 111 to 74 computations (33.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
✓	0.3b	(fma.f64 a (.f64 c -4) (.f64 b b))
✓	0.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
✓	25.9b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)

series189.0ms (3.2%)

Counts

4 → 96

Calls

4 calls:

82.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
54.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
42.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
10.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64`
32×	`*-un-lft-identity_binary64`
28×	`add-cube-cbrt_binary64`
18×	`prod-diff_binary64`
17×	`sqrt-prod_binary64`

Counts

4 → 109

Calls

4 calls:

8.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
4.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
1.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
0.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))

simplify231.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

527×	`fma-neg_binary64`
338×	`distribute-rgt-in_binary64`
273×	`cancel-sign-sub-inv_binary64`
155×	`associate-l_binary64`
153×	`associate-r_binary64`

Counts

205 → 226

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	5424
1	673	4468
2	2524	4293
3	4550	4293
4	4991	4293
5	4994	4293
6	4884	4293

prune161.0ms (2.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	218	8	226
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	220	8	228

Error

0.2b

Counts

228 → 8

Alt Table

Status	Error	Program
	27.0b	(.f64 (+.f64 (fma.f64 (fabs.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (sqrt.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (neg.f64 b)) 0) (/.f64 1/2 a))
	7.0b	(.f64 (neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))) (/.f64 1/2 a))
	26.0b	(.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (/.f64 (sqrt.f64 1/2) (sqrt.f64 a))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 a)))
	27.0b	(.f64 (.f64 (+.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (sqrt.f64 b)) (-.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (sqrt.f64 b))) (/.f64 1/2 a))
▶	0.5b	(/.f64 (.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (/.f64 1/2 a)) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))
	6.9b	(neg.f64 (fma.f64 2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 5 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (+.f64 (/.f64 c b) (/.f64 (.f64 c (*.f64 c a)) (pow.f64 b 3))))))
	26.0b	(.f64 (.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (/.f64 1/2 a))) (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (/.f64 1/2 a)))) (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))))
	26.0b	(cbrt.f64 (.f64 (.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (/.f64 1/2 a)) (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (/.f64 1/2 a))) (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))))

Compiler

Compiled 6525 to 3820 computations (41.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
✓	0.2b	(/.f64 (.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (/.f64 1/2 a)) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))
✓	0.3b	(.f64 (+.f64 (.f64 c (*.f64 a -4)) 0) (/.f64 1/2 a))
	0.3b	(fma.f64 a (.f64 c -4) (.f64 b b))

series312.0ms (5.2%)

Counts

3 → 64

Calls

3 calls:

259.0ms

(/.f64 (*.f64 (+.f64 (*.f64 c (*.f64 a -4)) 0) (/.f64 1/2 a)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b))

49.0ms

(+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b)

3.0ms

(*.f64 (+.f64 (*.f64 c (*.f64 a -4)) 0) (/.f64 1/2 a))

rewrite31.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
17×	`add-cbrt-cube_binary64`
17×	`add-exp-log_binary64`
15×	`add-cube-cbrt_binary64`

Counts

3 → 92

Calls

3 calls:

11.0ms

(/.f64 (*.f64 (+.f64 (*.f64 c (*.f64 a -4)) 0) (/.f64 1/2 a)) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b))

9.0ms

(*.f64 (+.f64 (*.f64 c (*.f64 a -4)) 0) (/.f64 1/2 a))

3.0ms

(+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b)

simplify149.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

616×	`fma-neg_binary64`
248×	`associate-l_binary64`
225×	`associate-/l*_binary64`
220×	`associate-r_binary64`
176×	`div-sub_binary64`

Counts

156 → 198

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	250	3787
1	708	3244
2	3132	3157
3	4613	3157
4	4932	3157

prune215.0ms (3.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	210	7	217
Fresh	6	1	7
Picked	1	0	1
Done	0	0	0
Total	217	8	225

Error

Counts

225 → 8

Alt Table

Status	Error	Program
	0.4b	(/.f64 (.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (/.f64 1/2 a)) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) b))
▶	0.4b	(/.f64 (/.f64 (.f64 (.f64 c a) -2) a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))
	0.7b	(.f64 (/.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))) (/.f64 (/.f64 1/2 a) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))))
	0.5b	(/.f64 (.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (/.f64 1/2 a)) (+.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (fma.f64 a (.f64 c -4) (.f64 b b))) (fma.f64 a (.f64 c -4) (*.f64 b b))))) b))
	0.5b	(/.f64 (.f64 (-.f64 (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4))) (.f64 0 0)) 1/2) (.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (.f64 (-.f64 (.f64 c (*.f64 a -4)) 0) a)))
	0.8b	(/.f64 (cbrt.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (/.f64 1/2 a)) (.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (/.f64 1/2 a))) (.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (/.f64 1/2 a)))) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))
	6.9b	(neg.f64 (fma.f64 2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 5 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (+.f64 (/.f64 c b) (/.f64 (.f64 c (*.f64 c a)) (pow.f64 b 3))))))
	0.5b	(.f64 (/.f64 (+.f64 (.f64 c (.f64 a -4)) 0) 1) (/.f64 (/.f64 1/2 a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)))

Compiler

Compiled 7452 to 4700 computations (36.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
	0.2b	(+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
✓	0.2b	(/.f64 (/.f64 (.f64 (.f64 c a) -2) a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))
	0.3b	(fma.f64 a (.f64 c -4) (.f64 b b))

series261.0ms (4.4%)

Counts

1 → 20

Calls

1 calls:

261.0ms

(/.f64 (/.f64 (*.f64 (*.f64 c a) -2) a) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b))

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`times-frac_binary64`
35×	`*-un-lft-identity_binary64`
19×	`add-sqr-sqrt_binary64`
19×	`add-cube-cbrt_binary64`
15×	`add-cbrt-cube_binary64`

Counts

1 → 62

Calls

1 calls:

9.0ms

(/.f64 (/.f64 (*.f64 (*.f64 c a) -2) a) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b))

simplify111.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

703×	`associate-*l/_binary64`
529×	`associate-*r/_binary64`
513×	`associate-/r/_binary64`
241×	`fma-def_binary64`
184×	`associate-/l*_binary64`

Counts

82 → 118

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	203	3387
1	566	3080
2	2117	2956
3	5090	2956

prune204.0ms (3.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	229	4	233
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	233	8	241

Error

Counts

241 → 8

Alt Table

Status	Error	Program
	0.4b	(/.f64 (.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (/.f64 1/2 a)) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) b))
✓	0.4b	(/.f64 (/.f64 (.f64 (.f64 c a) -2) a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))
▶	0.4b	(/.f64 (/.f64 (.f64 (.f64 c a) -2) a) (+.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (fma.f64 a (.f64 c -4) (.f64 b b))) (fma.f64 a (.f64 c -4) (.f64 b b))))) b))
	0.5b	(/.f64 (.f64 (-.f64 (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4))) (.f64 0 0)) 1/2) (.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (.f64 (-.f64 (.f64 c (*.f64 a -4)) 0) a)))
	0.8b	(/.f64 (cbrt.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (/.f64 1/2 a)) (.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (/.f64 1/2 a))) (.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (/.f64 1/2 a)))) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))
	6.9b	(-.f64 (.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) -2) (fma.f64 5 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	0.5b	(.f64 (/.f64 (/.f64 (.f64 c a) 1) 1) (/.f64 (/.f64 -2 a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	0.7b	(.f64 (/.f64 (/.f64 (.f64 c a) 1) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))) (/.f64 (/.f64 -2 a) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))))

Compiler

Compiled 7574 to 4220 computations (44.3% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(fma.f64 a (.f64 c -4) (.f64 b b))
✓	0.4b	(.f64 (.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (fma.f64 a (.f64 c -4) (.f64 b b))) (fma.f64 a (.f64 c -4) (.f64 b b)))
✓	0.5b	(cbrt.f64 (.f64 (.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (fma.f64 a (.f64 c -4) (.f64 b b))) (fma.f64 a (.f64 c -4) (.f64 b b))))
✓	0.6b	(.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (fma.f64 a (.f64 c -4) (*.f64 b b)))

series64.0ms (1.1%)

Counts

3 → 108

Calls

3 calls:

30.0ms

(*.f64 (*.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (fma.f64 a (*.f64 c -4) (*.f64 b b)))

23.0ms

(*.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (fma.f64 a (*.f64 c -4) (*.f64 b b)))

11.0ms

(cbrt.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (fma.f64 a (*.f64 c -4) (*.f64 b b))))

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
13×	`add-cbrt-cube_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64`
8×	`*-un-lft-identity_binary64`

Counts

3 → 74

Calls

3 calls:

4.0ms

(*.f64 (*.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (fma.f64 a (*.f64 c -4) (*.f64 b b)))

4.0ms

(cbrt.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (fma.f64 a (*.f64 c -4) (*.f64 b b))) (fma.f64 a (*.f64 c -4) (*.f64 b b))))

3.0ms

(*.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)) (fma.f64 a (*.f64 c -4) (*.f64 b b)))

simplify103.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

613×	`unswap-sqr_binary64`
364×	`cancel-sign-sub-inv_binary64`
339×	`fma-neg_binary64`
313×	`*-commutative_binary64`
274×	`fma-def_binary64`

Counts

182 → 127

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	4758
1	278	3749
2	933	3408
3	2437	3301
4	5042	3301

prune272.0ms (4.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	184	8	192

Error

Counts

192 → 8

Alt Table

Status	Error	Program
	0.4b	(/.f64 (.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (/.f64 1/2 a)) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) b))
✓	0.4b	(/.f64 (/.f64 (.f64 (.f64 c a) -2) a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))
✓	0.4b	(/.f64 (/.f64 (.f64 (.f64 c a) -2) a) (+.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (fma.f64 a (.f64 c -4) (.f64 b b))) (fma.f64 a (.f64 c -4) (.f64 b b))))) b))
	0.5b	(/.f64 (.f64 (-.f64 (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4))) (.f64 0 0)) 1/2) (.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (.f64 (-.f64 (.f64 c (*.f64 a -4)) 0) a)))
	0.8b	(/.f64 (cbrt.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (/.f64 1/2 a)) (.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (/.f64 1/2 a))) (.f64 (+.f64 (.f64 c (.f64 a -4)) 0) (/.f64 1/2 a)))) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))
	6.9b	(-.f64 (.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) -2) (fma.f64 5 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	0.5b	(.f64 (/.f64 (/.f64 (.f64 c a) 1) 1) (/.f64 (/.f64 -2 a) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)))
	0.7b	(.f64 (/.f64 (/.f64 (.f64 c a) 1) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))) (/.f64 (/.f64 -2 a) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b))))

Compiler

Compiled 7772 to 4031 computations (48.1% saved)

regimes1.4s (24.1%)

Accuracy

Total 0.2b remaining (87%)

Threshold costs 0.2b (87%)

Counts

267 → 1

Compiler

Compiled 34016 to 22254 computations (34.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	16	22
2	16	22

end1.0ms (0%)

Compiler: Compiled 18 to 12 computations (33.3% saved)

sample1.4s (23.2%)

Algorithm

1×

intervals

Results

493.0ms	7704×	body	128	valid
305.0ms	8825×	pre	128	true
51.0ms	825×	body	128	nan
36.0ms	296×	body	256	valid

Compiler

Compiled 363 to 245 computations (32.5% saved)

Details

analyze329.0ms (5.5%)

sample121.0ms (2%)

simplify263.0ms (4.4%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

series189.0ms (3.2%)

rewrite22.0ms (0.4%)

simplify231.0ms (3.9%)

prune161.0ms (2.7%)

localize14.0ms (0.2%)

series312.0ms (5.2%)

rewrite31.0ms (0.5%)

simplify149.0ms (2.5%)

prune215.0ms (3.6%)

localize12.0ms (0.2%)

series261.0ms (4.4%)

rewrite16.0ms (0.3%)

simplify111.0ms (1.9%)

prune204.0ms (3.4%)

localize15.0ms (0.2%)

series64.0ms (1.1%)

rewrite16.0ms (0.3%)

simplify103.0ms (1.7%)

prune272.0ms (4.6%)

regimes1.4s (24.1%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.4s (23.2%)

Profiling