Details

analyze1.8s (14.1%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	93.6%	6.4%	7
0%	93.6%	6.4%	8
0%	91.3%	8.7%	9
0%	86.6%	13.4%	10
0%	85.8%	14.2%	11
0%	83.1%	16.9%	12
0%	80.6%	19.4%	13
0%	79.4%	20.6%	14

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample3.2s (24.6%)

Results

889.0ms	5312×	body	128	valid
684.0ms	1185×	body	2048	valid
364.0ms	771×	body	1024	valid
342.0ms	372×	body	512	valid
318.0ms	362×	body	8192	exit
290.0ms	411×	body	4096	valid
141.0ms	982×	body	128	invalid
50.0ms	205×	body	256	valid

Compiler

Compiled 62 to 44 computations (29% saved)

simplify263.0ms (2%)

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

34.4b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	34.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
	34.5b	(.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)

localize13.0ms (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))
✓	0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	1.1b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	24.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

series214.0ms (1.7%)

Counts

4 → 96

Calls

4 calls:

93.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
65.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
45.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
10.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

rewrite32.0ms (0.2%)

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:

11.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
10.0ms	(+.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))

simplify124.0ms (1%)

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

prune165.0ms (1.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	195	12	207
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	197	12	209

Error

6.7b

Counts

209 → 12

Alt Table

Status	Error	Program
	40.7b	(neg.f64 (/.f64 c b))
	44.4b	(/.f64 (neg.f64 b) a)
	34.5b	(/.f64 1 (/.f64 (.f64 2 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
▶	33.6b	(.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))
	56.8b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 2 a))
	44.4b	(-.f64 (/.f64 c b) (/.f64 b a))
	45.4b	(.f64 1/2 (-.f64 (/.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) a) (/.f64 b a)))
	48.0b	(exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) (*.f64 a 2))))
	39.6b	(/.f64 (/.f64 (.f64 4 (.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))) (*.f64 2 a))
	35.5b	(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b))) (*.f64 2 a))
	34.7b	(/.f64 (sqrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (.f64 2 a) (sqrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))))))
	34.5b	(.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (/.f64 1/2 a))

Compiler

Compiled 5729 to 3361 computations (41.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.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))
✓	0.2b	(/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) a)
✓	0.5b	(-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)
✓	15.4b	(sqrt.f64 (.f64 c (.f64 a -4)))

series1.1s (8.6%)

Counts

4 → 28

Calls

4 calls:

613.0ms	(/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) a)
264.0ms	(.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))
211.0ms	(-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)
21.0ms	(sqrt.f64 (.f64 c (.f64 a -4)))

rewrite62.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

111×	`add-sqr-sqrt_binary64`
84×	`times-frac_binary64`
81×	`*-un-lft-identity_binary64`
59×	`add-cube-cbrt_binary64`
57×	`sqrt-prod_binary64`

Counts

4 → 182

Calls

4 calls:

25.0ms	(.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 c (.f64 a -4)))
3.0ms	(-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)

simplify251.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

626×	`fma-def_binary64`
314×	`cancel-sign-sub-inv_binary64`
285×	`fma-neg_binary64`
193×	`associate-*r/_binary64`
182×	`associate-/l*_binary64`

Counts

210 → 313

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	355	7676
1	885	6951
2	2998	6668
3	4737	6472
4	4964	6472
5	5000	6472
6	4892	6472

prune399.0ms (3.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	390	6	396
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	395	13	408

Error

6.7b

Counts

408 → 13

Alt Table

Status	Error	Program
	59.7b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b)) a))))
	40.7b	(neg.f64 (/.f64 c b))
	44.4b	(/.f64 (neg.f64 b) a)
	49.3b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4))) b) b)) a))
	39.6b	(/.f64 (/.f64 (.f64 4 (.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))) (*.f64 2 a))
	45.2b	(.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a))
	34.5b	(.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (/.f64 1/2 a))
▶	33.6b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 1 (/.f64 a (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b)))))
	34.5b	(/.f64 1 (/.f64 (.f64 2 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
	56.8b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 2 a))
	44.4b	(-.f64 (/.f64 c b) (/.f64 b a))
	34.1b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (.f64 (/.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b))) (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)))) (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b))) (cbrt.f64 a))))
	50.3b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (exp.f64 (-.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b))) (log.f64 a))))

Compiler

Compiled 16551 to 10768 computations (34.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 1 (/.f64 a (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b)))))
✓	0.1b	(/.f64 a (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)))
	0.5b	(-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)
	15.4b	(sqrt.f64 (.f64 c (.f64 a -4)))

series907.0ms (7%)

Counts

2 → 16

Calls

2 calls:

650.0ms

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

257.0ms

(*.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) b)) 2) (/.f64 1 (/.f64 a (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) b)))))

rewrite105.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

254×	`times-frac_binary64`
219×	`add-sqr-sqrt_binary64`
151×	`*-un-lft-identity_binary64`
110×	`add-cube-cbrt_binary64`
95×	`associate-r_binary64`

Counts

2 → 230

Calls

2 calls:

48.0ms

(*.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) b)) 2) (/.f64 1 (/.f64 a (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) b)))))

5.0ms

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

simplify266.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

532×	`associate-/r*_binary64`
512×	`associate-/r/_binary64`
398×	`associate-/l/_binary64`
286×	`fma-def_binary64`
225×	`*-commutative_binary64`

Counts

246 → 351

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	319	11910
1	815	10249
2	2549	10218
3	4930	10218
4	4965	10218

prune510.0ms (3.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	515	2	517
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	518	12	530

Error

6.7b

Counts

530 → 12

Alt Table

Status	Error	Program
	59.7b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b)) a))))
	40.7b	(neg.f64 (/.f64 c b))
	44.4b	(/.f64 (neg.f64 b) a)
	45.2b	(.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a))
	34.5b	(.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (/.f64 1/2 a))
	34.5b	(/.f64 1 (/.f64 (.f64 2 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
▶	34.0b	(.f64 (/.f64 (.f64 1/2 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b) b))) (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 1 (/.f64 (cbrt.f64 a) (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b)))))
	56.8b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 2 a))
	44.4b	(-.f64 (/.f64 c b) (/.f64 b a))
	49.3b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 1 (/.f64 a (sqrt.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))) b) b)))))
	50.3b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (exp.f64 (-.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b))) (log.f64 a))))
	39.6b	(/.f64 (/.f64 (.f64 4 (.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))) (*.f64 2 a))

Compiler

Compiled 23527 to 15699 computations (33.3% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (cbrt.f64 a) (cbrt.f64 a))
✓	0.6b	(cbrt.f64 a)
	15.4b	(sqrt.f64 (.f64 c (.f64 a -4)))
✓	15.4b	(sqrt.f64 (.f64 -4 (.f64 a c)))

series92.0ms (0.7%)

Counts

3 → 24

Calls

3 calls:

36.0ms	(*.f64 (cbrt.f64 a) (cbrt.f64 a))
34.0ms	(cbrt.f64 a)
21.0ms	(sqrt.f64 (.f64 -4 (.f64 a c)))

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
19×	`cbrt-prod_binary64`
16×	`pow1_binary64`
12×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`

Counts

3 → 69

Calls

3 calls:

5.0ms	(sqrt.f64 (.f64 -4 (.f64 a c)))
4.0ms	(*.f64 (cbrt.f64 a) (cbrt.f64 a))
1.0ms	(cbrt.f64 a)

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

577×	`distribute-rgt-in_binary64`
561×	`log-prod_binary64`
538×	`distribute-lft-in_binary64`
525×	`unswap-sqr_binary64`
405×	`*-commutative_binary64`

Counts

93 → 87

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	76	741
1	121	679
2	349	641
3	1046	627
4	2092	535
5	4937	535
6	5098	535

prune113.0ms (0.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	143	12	155

Error

6.7b

Counts

155 → 12

Alt Table

Status	Error	Program
	59.7b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b)) a))))
	40.7b	(neg.f64 (/.f64 c b))
	44.4b	(/.f64 (neg.f64 b) a)
	45.2b	(.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a))
	34.5b	(.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (/.f64 1/2 a))
	34.5b	(/.f64 1 (/.f64 (.f64 2 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))
✓	34.0b	(.f64 (/.f64 (.f64 1/2 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -4 (.f64 a c))) b) b))) (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 1 (/.f64 (cbrt.f64 a) (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b)))))
	56.8b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 2 a))
	44.4b	(-.f64 (/.f64 c b) (/.f64 b a))
	49.3b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 1 (/.f64 a (sqrt.f64 (-.f64 (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))) b) b)))))
	50.3b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (exp.f64 (-.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b))) (log.f64 a))))
	39.6b	(/.f64 (/.f64 (.f64 4 (.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))) (*.f64 2 a))

Compiler

Compiled 6004 to 3457 computations (42.4% saved)

regimes2.9s (22.4%)

Accuracy

Total 4.6b remaining (45.9%)

Threshold costs 0b (0%)

Counts

178 → 3

Compiler

Compiled 24451 to 17219 computations (29.6% saved)

bsearch63.0ms (0.5%)

Steps

Iters	Range		Point
9	4.607887835668292e-107	1.2144203302752892e-98	8.126739115825835e-101
2	-6.671662368404231e+115	-5.91159810481762e+115	-6.386638269559252e+115

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative_binary64`
11×	`*-commutative_binary64`
9×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	58
1	44	54
2	67	54
3	81	54
4	90	54
5	94	54
6	95	54
7	94	54

end190.0ms (1.5%)

Compiler: Compiled 329 to 230 computations (30.1% saved)

Details

analyze1.8s (14.1%)

sample3.2s (24.6%)

simplify263.0ms (2%)

prune4.0ms (0%)

localize13.0ms (0.1%)

series214.0ms (1.7%)

rewrite32.0ms (0.2%)

simplify124.0ms (1%)

prune165.0ms (1.3%)

localize11.0ms (0.1%)

series1.1s (8.6%)

rewrite62.0ms (0.5%)

simplify251.0ms (1.9%)

prune399.0ms (3.1%)

localize13.0ms (0.1%)

series907.0ms (7%)

rewrite105.0ms (0.8%)

simplify266.0ms (2.1%)

prune510.0ms (3.9%)

localize25.0ms (0.2%)

series92.0ms (0.7%)

rewrite12.0ms (0.1%)

simplify73.0ms (0.6%)

prune113.0ms (0.9%)

regimes2.9s (22.4%)

bsearch63.0ms (0.5%)

simplify5.0ms (0%)

end190.0ms (1.5%)

Profiling