Details

analyze989.0ms (10.5%)

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
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	71.8%	6.4%	7
31.2%	62.4%	6.4%	8
35.9%	55.4%	8.7%	9
37.8%	48.8%	13.4%	10
42.7%	42.3%	15%	11
47.7%	34.2%	18.1%	12
49.1%	30.4%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.5s (26.5%)

Results

789.0ms	5388×	body	128	valid
655.0ms	1157×	body	2048	valid
378.0ms	759×	body	1024	valid
284.0ms	431×	body	4096	valid
146.0ms	1019×	body	128	invalid
120.0ms	358×	body	512	valid
38.0ms	163×	body	256	valid

Compiler

Compiled 62 to 44 computations (29% saved)

simplify255.0ms (2.7%)

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%)

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

32.7b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	32.7b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
	32.8b	(.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)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
✓	0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	0.4b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	20.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

series192.0ms (2%)

Counts

4 → 96

Calls

4 calls:

84.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
54.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
43.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
11.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

rewrite30.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`fma-def_binary64`
10×	`add-cube-cbrt_binary64`
10×	`add-log-exp_binary64`

Counts

4 → 90

Calls

4 calls:

10.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
8.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
3.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

simplify122.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

701×	`fma-neg_binary64`
334×	`cancel-sign-sub-inv_binary64`
215×	`distribute-rgt-neg-in_binary64`
159×	`associate-r_binary64`
150×	`distribute-rgt-neg-out_binary64`

Counts

186 → 207

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	243	4208
1	695	3858
2	2512	3724
3	4694	3704
4	5031	3704

prune157.0ms (1.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	197	10	207
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	199	10	209

Error

4.1b

Counts

209 → 10

Alt Table

Status	Error	Program
▶	31.7b	(/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) (*.f64 a -2))
	39.3b	(neg.f64 (/.f64 c b))
	31.8b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b)) a))
	44.3b	(/.f64 (neg.f64 b) a)
	42.5b	(-.f64 (neg.f64 (/.f64 c b)) (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))
	32.1b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) (.f64 a 2))) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) (.f64 a 2)))) (cbrt.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) (*.f64 a 2))))
	50.2b	(cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))))
	46.9b	(exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) (*.f64 a 2))))
	38.2b	(/.f64 (/.f64 (.f64 4 (.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))) (*.f64 2 a))
	33.7b	(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b))) (*.f64 2 a))

Compiler

Compiled 5779 to 3389 computations (41.4% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))
✓	0.1b	(/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) (*.f64 a -2))
✓	13.1b	(sqrt.f64 (.f64 c (.f64 a -4)))

series459.0ms (4.9%)

Counts

3 → 24

Calls

3 calls:

270.0ms	(/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) (*.f64 a -2))
168.0ms	(-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))
20.0ms	(sqrt.f64 (.f64 c (.f64 a -4)))

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
19×	`add-sqr-sqrt_binary64`
13×	`add-cube-cbrt_binary64`
9×	`prod-diff_binary64`
9×	`pow1_binary64`

Counts

3 → 74

Calls

3 calls:

6.0ms	(/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) (*.f64 a -2))
3.0ms	(-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))
3.0ms	(sqrt.f64 (.f64 c (.f64 a -4)))

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

821×	`associate-/r*_binary64`
545×	`fma-def_binary64`
225×	`cancel-sign-sub-inv_binary64`
153×	`fma-neg_binary64`
141×	`associate-/l/_binary64`

Counts

98 → 159

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	223	2931
1	562	2482
2	1923	2293
3	5131	2293

prune136.0ms (1.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	157	2	159
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	159	10	169

Error

1.4b

Counts

169 → 10

Alt Table

Status	Error	Program
✓	31.7b	(/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) (*.f64 a -2))
	39.3b	(neg.f64 (/.f64 c b))
▶	31.8b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b)) a))
	44.3b	(/.f64 (neg.f64 b) a)
	42.5b	(-.f64 (neg.f64 (/.f64 c b)) (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))
	47.2b	(/.f64 (-.f64 (pow.f64 b 3) (pow.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) 3)) (.f64 (.f64 a -2) (fma.f64 b b (.f64 (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b) (+.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) b))))))
	50.2b	(cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))))
	46.9b	(exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) (*.f64 a 2))))
	38.2b	(/.f64 (/.f64 (.f64 4 (.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))) (*.f64 2 a))
	46.7b	(/.f64 (-.f64 b (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4))) b)) (*.f64 a -2))

Compiler

Compiled 4849 to 3155 computations (34.9% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b))
✓	0.1b	(/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) a)
✓	0.2b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b)) a))
	13.1b	(sqrt.f64 (.f64 c (.f64 a -4)))

series1.0s (10.7%)

Counts

3 → 20

Calls

3 calls:

490.0ms

(/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) b)) a)

288.0ms

(sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) b))

235.0ms

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

rewrite53.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

104×	`add-sqr-sqrt_binary64`
84×	`times-frac_binary64`
73×	`*-un-lft-identity_binary64`
61×	`sqrt-prod_binary64`
51×	`add-cube-cbrt_binary64`

Counts

3 → 157

Calls

3 calls:

22.0ms

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

6.0ms

(/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) b)) a)

4.0ms

(sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) b))

simplify174.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

719×	`times-frac_binary64`
384×	`fma-def_binary64`
381×	`associate-/l/_binary64`
365×	`fma-neg_binary64`
180×	`associate-*r/_binary64`

Counts

177 → 266

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	290	6876
1	764	6555
2	2219	6324
3	4717	6324
4	4960	6324

prune313.0ms (3.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	341	1	342
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	342	10	352

Error

1.4b

Counts

352 → 10

Alt Table

Status	Error	Program
✓	31.7b	(/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) (*.f64 a -2))
▶	32.0b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)))) (/.f64 a (sqrt.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b) b))))))
	39.3b	(neg.f64 (/.f64 c b))
✓	31.8b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b)) a))
	44.3b	(/.f64 (neg.f64 b) a)
	42.5b	(-.f64 (neg.f64 (/.f64 c b)) (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))
	47.2b	(/.f64 (-.f64 (pow.f64 b 3) (pow.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) 3)) (.f64 (.f64 a -2) (fma.f64 b b (.f64 (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b) (+.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) b))))))
	50.2b	(cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))))
	38.2b	(/.f64 (/.f64 (.f64 4 (.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))) (*.f64 2 a))
	46.7b	(/.f64 (-.f64 b (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4))) b)) (*.f64 a -2))

Compiler

Compiled 14225 to 9332 computations (34.4% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b) b))
✓	0.3b	(cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b))
	13.1b	(sqrt.f64 (.f64 c (.f64 a -4)))
✓	13.1b	(sqrt.f64 (.f64 -4 (.f64 c a)))

series1.0s (10.8%)

Counts

3 → 24

Calls

3 calls:

504.0ms	(cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b) b))
497.0ms	(cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b))
21.0ms	(sqrt.f64 (.f64 -4 (.f64 c a)))

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64`
5×	`add-cube-cbrt_binary64`

Counts

3 → 48

Calls

3 calls:

3.0ms	(sqrt.f64 (.f64 -4 (.f64 c a)))
2.0ms	(cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b))
2.0ms	(cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b) b))

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

810×	`times-frac_binary64`
596×	`associate-l_binary64`
401×	`associate-/r*_binary64`
332×	`associate-/l*_binary64`
243×	`fma-def_binary64`

Counts

72 → 73

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	2777
1	353	2637
2	1055	2519
3	5317	2519

prune237.0ms (2.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	185	1	186
Fresh	0	7	7
Picked	1	0	1
Done	0	2	2
Total	186	10	196

Error

1.4b

Counts

196 → 10

Alt Table

Status	Error	Program
✓	31.7b	(/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) (*.f64 a -2))
	39.3b	(neg.f64 (/.f64 c b))
✓	31.8b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b)) a))
	44.3b	(/.f64 (neg.f64 b) a)
	42.5b	(-.f64 (neg.f64 (/.f64 c b)) (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))
	47.2b	(/.f64 (-.f64 (pow.f64 b 3) (pow.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) 3)) (.f64 (.f64 a -2) (fma.f64 b b (.f64 (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b) (+.f64 b (hypot.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) b))))))
	50.2b	(cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))))
	32.7b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) (exp.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)))))) (/.f64 a (sqrt.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 c a))) b) b))))))
	38.2b	(/.f64 (/.f64 (.f64 4 (.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))) (*.f64 2 a))
	46.7b	(/.f64 (-.f64 b (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4))) b)) (*.f64 a -2))

Compiler

Compiled 12947 to 8735 computations (32.5% saved)

regimes1.3s (13.8%)

Accuracy

Total 7.5b remaining (71.7%)

Threshold costs 0b (0%)

Counts

92 → 3

Compiler

Compiled 9648 to 6684 computations (30.7% saved)

bsearch75.0ms (0.8%)

Steps

Iters	Range		Point
10	1.5641535248602722e-80	8.26668635655845e-71	2.0627980826047655e-71
3	-4.905015133134337e+159	-7.706913201840932e+152	-5.560568612734722e+153

Compiler

Compiled 4 to 3 computations (25% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	49
1	41	49
2	62	49
3	74	49
4	82	49
5	84	49
6	83	49

end172.0ms (1.8%)

Compiler: Compiled 351 to 237 computations (32.5% saved)

Details

analyze989.0ms (10.5%)

sample2.5s (26.5%)

simplify255.0ms (2.7%)

prune4.0ms (0%)

localize12.0ms (0.1%)

series192.0ms (2%)

rewrite30.0ms (0.3%)

simplify122.0ms (1.3%)

prune157.0ms (1.7%)

localize10.0ms (0.1%)

series459.0ms (4.9%)

rewrite16.0ms (0.2%)

simplify72.0ms (0.8%)

prune136.0ms (1.4%)

localize11.0ms (0.1%)

series1.0s (10.7%)

rewrite53.0ms (0.6%)

simplify174.0ms (1.8%)

prune313.0ms (3.3%)

localize24.0ms (0.2%)

series1.0s (10.8%)

rewrite11.0ms (0.1%)

simplify69.0ms (0.7%)

prune237.0ms (2.5%)

regimes1.3s (13.8%)

bsearch75.0ms (0.8%)

simplify7.0ms (0.1%)

end172.0ms (1.8%)

Profiling