Details

analyze1.8s (13.8%)

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)

sample3.0s (23.2%)

Results

800.0ms	5312×	body	128	valid
731.0ms	1185×	body	2048	valid
393.0ms	771×	body	1024	valid
299.0ms	362×	body	8192	exit
288.0ms	411×	body	4096	valid
148.0ms	982×	body	128	invalid
145.0ms	372×	body	512	valid
51.0ms	205×	body	256	valid

Compiler

Compiled 62 to 44 computations (29% saved)

simplify379.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2009×	`fma-neg_binary64`
1508×	`div-sub_binary64`
1334×	`associate-/l*_binary64`
1156×	`fma-def_binary64`
685×	`associate-/l/_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	34	22
2	64	22
3	132	22
4	198	22
5	325	22
6	552	22
7	918	22
8	1352	22
9	1554	22
10	2359	22
11	3158	22
12	2565	22
13	2653	22
14	3219	22
15	3361	22
16	3461	22
17	3985	22
18	4171	22
19	4439	22
20	4659	22
21	4701	22
22	4757	22
23	4941	22
24	4941	22
25	3365	22
26	3059	22
27	2983	22
28	2985	22
29	2997	22
30	2997	22
31	2997	22
32	2997	22
33	2736	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 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
▶	34.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 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 4 (.f64 a c))))) (.f64 2 a))
✓	0.8b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
✓	1.1b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
✓	24.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

series202.0ms (1.6%)

Counts

4 → 96

Calls

4 calls:

87.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
55.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
46.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
13.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

rewrite31.0ms (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:

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

simplify133.0ms (1%)

Algorithm

1×	egg-herbie

Rules

697×	`fma-neg_binary64`
327×	`cancel-sign-sub-inv_binary64`
226×	`distribute-rgt-neg-in_binary64`
150×	`distribute-rgt-neg-out_binary64`
146×	`associate-r_binary64`

Counts

186 → 207

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	243	4202
1	693	3825
2	2488	3724
3	4652	3704
4	4985	3704

prune169.0ms (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
	48.0b	(exp.f64 (log.f64 (/.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) (*.f64 a 2))))
	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 4 (.f64 a c)))))))
	40.7b	(neg.f64 (/.f64 c b))
▶	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))
	45.4b	(.f64 1/2 (-.f64 (/.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) a) (/.f64 b a)))
	34.5b	(.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (/.f64 1/2 a))
	44.4b	(-.f64 (/.f64 c b) (/.f64 b a))
	56.8b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 2 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))
	34.7b	(/.f64 (sqrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (/.f64 (.f64 2 a) (sqrt.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))))
	35.5b	(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b))) (*.f64 2 a))

Compiler

Compiled 5729 to 3220 computations (43.8% saved)

localize14.0ms (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)))

series955.0ms (7.5%)

Counts

4 → 28

Calls

4 calls:

519.0ms	(/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) a)
251.0ms	(.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))
163.0ms	(-.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:

23.0ms	(.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))
9.0ms	(/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) a)
3.0ms	(-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)
3.0ms	(sqrt.f64 (.f64 c (.f64 a -4)))

simplify295.0ms (2.3%)

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

prune430.0ms (3.4%)

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
	34.5b	(/.f64 1 (/.f64 (.f64 2 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))
▶	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)))))
	40.7b	(neg.f64 (/.f64 c b))
	44.4b	(-.f64 (/.f64 c b) (/.f64 b 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))))
	34.5b	(.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (/.f64 1/2 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))
	44.4b	(/.f64 (neg.f64 b) a)
	45.2b	(.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a))
	56.8b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 2 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))
	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))))
	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))))

Compiler

Compiled 16551 to 10768 computations (34.9% saved)

localize12.0ms (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)))

series930.0ms (7.3%)

Counts

2 → 16

Calls

2 calls:

666.0ms

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

263.0ms

(*.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)))))

rewrite109.0ms (0.9%)

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:

51.0ms

(*.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)))

simplify281.0ms (2.2%)

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

prune506.0ms (4%)

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
	34.5b	(/.f64 1 (/.f64 (.f64 2 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))
	40.7b	(neg.f64 (/.f64 c b))
	44.4b	(-.f64 (/.f64 c b) (/.f64 b 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))))
	34.5b	(.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (/.f64 1/2 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)))))
	44.4b	(/.f64 (neg.f64 b) a)
	45.2b	(.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a))
	56.8b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 2 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))
▶	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)))))
	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))))

Compiler

Compiled 23527 to 15699 computations (33.3% saved)

localize24.0ms (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)))

series94.0ms (0.7%)

Counts

3 → 24

Calls

3 calls:

37.0ms	(*.f64 (cbrt.f64 a) (cbrt.f64 a))
35.0ms	(cbrt.f64 a)
22.0ms	(sqrt.f64 (.f64 -4 (.f64 a c)))

rewrite11.0ms (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	(*.f64 (cbrt.f64 a) (cbrt.f64 a))
3.0ms	(sqrt.f64 (.f64 -4 (.f64 a c)))
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
	34.5b	(/.f64 1 (/.f64 (.f64 2 a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))
	40.7b	(neg.f64 (/.f64 c b))
	44.4b	(-.f64 (/.f64 c b) (/.f64 b 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))))
	34.5b	(.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (/.f64 1/2 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)))))
	44.4b	(/.f64 (neg.f64 b) a)
	45.2b	(.f64 1/2 (/.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) a))
	56.8b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 2 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))
✓	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)))))
	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))))

Compiler

Compiled 6004 to 3457 computations (42.4% saved)

regimes3.0s (23.2%)

Accuracy

Total 4.6b remaining (46%)

Threshold costs 0b (0%)

Counts

178 → 3

Compiler

Compiled 24451 to 17136 computations (29.9% saved)

bsearch64.0ms (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)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	50
1	45	48
2	60	48
3	75	48
4	82	48
5	85	48
6	86	48
7	85	48

end198.0ms (1.5%)

Compiler: Compiled 321 to 224 computations (30.2% saved)

Details

analyze1.8s (13.8%)

sample3.0s (23.2%)

simplify379.0ms (3%)

prune4.0ms (0%)

localize13.0ms (0.1%)

series202.0ms (1.6%)

rewrite31.0ms (0.2%)

simplify133.0ms (1%)

prune169.0ms (1.3%)

localize14.0ms (0.1%)

series955.0ms (7.5%)

rewrite62.0ms (0.5%)

simplify295.0ms (2.3%)

prune430.0ms (3.4%)

localize12.0ms (0.1%)

series930.0ms (7.3%)

rewrite109.0ms (0.9%)

simplify281.0ms (2.2%)

prune506.0ms (4%)

localize24.0ms (0.2%)

series94.0ms (0.7%)

rewrite11.0ms (0.1%)

simplify73.0ms (0.6%)

prune113.0ms (0.9%)

regimes3.0s (23.2%)

bsearch64.0ms (0.5%)

simplify4.0ms (0%)

end198.0ms (1.5%)

Profiling