Details

analyze361.0ms (4.4%)

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)

sample1.6s (19.1%)

Results

1.2s	7944×	body	128	valid
163.0ms	1004×	body	128	invalid
82.0ms	312×	body	256	valid

Compiler

Compiled 106 to 76 computations (28.3% saved)

simplify348.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1968×	`fma-neg_binary64`
1363×	`fma-def_binary64`
898×	`div-sub_binary64`
743×	`associate-/l*_binary64`
567×	`times-frac_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	30	22
2	64	22
3	135	22
4	201	22
5	335	22
6	554	22
7	929	22
8	1477	22
9	2115	22
10	2599	22
11	2554	22
12	2602	22
13	2671	22
14	3117	22
15	2327	22
16	2375	22
17	2383	22
18	2389	22
19	2395	22
20	2397	22
21	2397	22
22	2585	22
23	2685	22
24	2619	22
25	2631	22
26	2661	22
27	2677	22
28	2707	22
29	2707	22
30	2751	22
31	2851	22
32	2827	22
33	2827	22
34	2638	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

29.6b

Counts

3 → 2

Alt Table

Status	Error	Program
	29.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
▶	29.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a))

Compiler

Compiled 111 to 74 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(fma.f64 a (.f64 c -3) (.f64 b b))
✓	0.3b	(/.f64 1/3 a)
✓	0.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a))
✓	29.4b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)

series151.0ms (1.8%)

Counts

4 → 76

Calls

4 calls:

86.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a))
51.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)
11.0ms	(fma.f64 a (.f64 c -3) (.f64 b b))
1.0ms	(/.f64 1/3 a)

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
35×	`add-cube-cbrt_binary64`
19×	`times-frac_binary64`
18×	`prod-diff_binary64`

Counts

4 → 123

Calls

4 calls:

8.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a))
4.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)
2.0ms	(/.f64 1/3 a)
0.0ms	(fma.f64 a (.f64 c -3) (.f64 b b))

simplify108.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

797×	`fma-def_binary64`
340×	`distribute-rgt-in_binary64`
235×	`cancel-sign-sub-inv_binary64`
185×	`fma-neg_binary64`
160×	`associate-r_binary64`

Counts

199 → 221

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	5008
1	661	4039
2	2464	3848
3	4911	3848

prune164.0ms (2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	211	10	221
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	213	10	223

Error

0.1b

Counts

223 → 10

Alt Table

Status	Error	Program
	29.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (/.f64 (/.f64 1/3 (.f64 (cbrt.f64 a) (cbrt.f64 a))) (cbrt.f64 a)))
	30.5b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))) (neg.f64 (.f64 (sqrt.f64 b) (sqrt.f64 b)))) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) (*.f64 (sqrt.f64 b) (sqrt.f64 b)))) (/.f64 1/3 a))
	8.5b	(.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) -9/8 (.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) -27/16))) (/.f64 1/3 a))
	29.6b	(.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (/.f64 (sqrt.f64 1/3) (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (/.f64 (sqrt.f64 1/3) (cbrt.f64 a)))
	29.6b	(.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (sqrt.f64 (/.f64 1/3 a))) (sqrt.f64 (/.f64 1/3 a)))
	6.6b	(.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (fma.f64 9/8 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) (fma.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.f64 405/128 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7)))))) (/.f64 1/3 a))
	29.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b) (/.f64 (/.f64 1/3 (sqrt.f64 a)) (sqrt.f64 a)))
▶	0.6b	(/.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a)) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))
	29.6b	(.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) 3) (pow.f64 b 3)) (+.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))) (+.f64 (.f64 b b) (.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)))) (/.f64 1/3 a))
	6.3b	(neg.f64 (fma.f64 9/16 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)) (fma.f64 135/128 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 1/2 (/.f64 c b) (.f64 3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))))))

Compiler

Compiled 6351 to 3699 computations (41.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a))
✓	0.2b	(/.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a)) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))
	0.3b	(fma.f64 a (.f64 c -3) (.f64 b b))
	0.3b	(/.f64 1/3 a)

series317.0ms (3.9%)

Counts

2 → 44

Calls

2 calls:

308.0ms	(/.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a)) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))
9.0ms	(.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
14×	`times-frac_binary64`

Counts

2 → 64

Calls

2 calls:

7.0ms	(/.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a)) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))
5.0ms	(.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a))

simplify108.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

558×	`associate-/l/_binary64`
475×	`fma-def_binary64`
384×	`associate-/r/_binary64`
201×	`distribute-rgt-in_binary64`
152×	`fma-neg_binary64`

Counts

108 → 130

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	196	2772
1	524	2334
2	1961	2280
3	4687	2274
4	4989	2274
5	4898	2274

prune188.0ms (2.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	178	9	187
Fresh	7	2	9
Picked	1	0	1
Done	0	0	0
Total	186	11	197

Error

0.0b

Counts

197 → 11

Alt Table

Status	Error	Program
	30.5b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))) (neg.f64 (.f64 (sqrt.f64 b) (sqrt.f64 b)))) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) (*.f64 (sqrt.f64 b) (sqrt.f64 b)))) (/.f64 1/3 a))
	8.5b	(.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)) -9/8 (.f64 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) -27/16))) (/.f64 1/3 a))
	0.6b	(/.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (.f64 1/3 (/.f64 1 a))) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b))
	0.7b	(/.f64 (/.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a)) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)))
▶	0.3b	(/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))
	0.6b	(/.f64 (.f64 (fma.f64 a (.f64 c -3) 0) 1/3) (.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b) a))
	6.3b	(fma.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) -9/16 (fma.f64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)) -135/128 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3)) -3/8 (.f64 -1/2 (/.f64 c b)))))
	1.4b	(.f64 (/.f64 (fma.f64 a (.f64 c -3) 0) (.f64 (cbrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)) (cbrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)))) (/.f64 (/.f64 1/3 a) (cbrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b))))
	0.7b	(/.f64 (.f64 (/.f64 (.f64 a (.f64 c -3)) (sqrt.f64 a)) (/.f64 1/3 (sqrt.f64 a))) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b))
	0.7b	(/.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (cbrt.f64 (/.f64 (.f64 (.f64 1/3 1/3) 1/3) (.f64 (.f64 a a) a)))) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))
	0.6b	(.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a)) (/.f64 1 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b)))

Compiler

Compiled 6279 to 3913 computations (37.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))
✓	0.2b	(+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)
✓	0.2b	(/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))
	0.3b	(fma.f64 a (.f64 c -3) (.f64 b b))

series332.0ms (4.1%)

Counts

3 → 60

Calls

3 calls:

239.0ms	(/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))
49.0ms	(+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)
43.0ms	(sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

56×	`*-un-lft-identity_binary64`
40×	`times-frac_binary64`
33×	`add-sqr-sqrt_binary64`
32×	`add-cube-cbrt_binary64`
15×	`distribute-lft-neg-in_binary64`

Counts

3 → 107

Calls

3 calls:

6.0ms	(/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))
3.0ms	(+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)
1.0ms	(sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))

simplify160.0ms (2%)

Algorithm

1×	egg-herbie

Rules

473×	`fma-def_binary64`
278×	`div-sub_binary64`
247×	`associate-/l/_binary64`
187×	`cancel-sign-sub-inv_binary64`
166×	`distribute-rgt-neg-out_binary64`

Counts

167 → 223

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	253	4899
1	638	4739
2	2058	4559
3	4528	4553
4	4983	4553
5	4903	4553

prune203.0ms (2.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	242	5	247
Fresh	7	3	10
Picked	1	0	1
Done	0	0	0
Total	250	8	258

Error

Counts

258 → 8

Alt Table

Status	Error	Program
	0.6b	(.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a)) (/.f64 1 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b)))
▶	0.3b	(/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))) b))
	1.4b	(.f64 (/.f64 (fma.f64 a (.f64 c -3) 0) (.f64 (cbrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)) (cbrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)))) (/.f64 (/.f64 1/3 a) (cbrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b))))
	0.6b	(/.f64 (sqrt.f64 c) (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (neg.f64 (sqrt.f64 c))))
	0.4b	(/.f64 -1 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) c))
	0.7b	(cbrt.f64 (/.f64 (.f64 (.f64 (neg.f64 c) (neg.f64 c)) (neg.f64 c)) (.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))))
	6.3b	(fma.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) -9/16 (fma.f64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)) -135/128 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3)) -3/8 (.f64 -1/2 (/.f64 c b)))))
	0.6b	(/.f64 (/.f64 (neg.f64 c) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)))

Compiler

Compiled 6668 to 3621 computations (45.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (sqrt.f64 (-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))) b)
✓	0.2b	(/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))) b))
✓	0.3b	(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
✓	0.3b	(.f64 3 (.f64 c a))

series382.0ms (4.7%)

Counts

4 → 49

Calls

4 calls:

313.0ms	(/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))) b))
50.0ms	(+.f64 (sqrt.f64 (-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))) b)
12.0ms	(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
5.0ms	(.f64 3 (.f64 c a))

rewrite78.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`*-un-lft-identity_binary64`
40×	`times-frac_binary64`
37×	`add-sqr-sqrt_binary64`
37×	`add-cube-cbrt_binary64`
15×	`distribute-lft-neg-in_binary64`

Counts

4 → 142

Calls

4 calls:

55.0ms	(/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))) b))
6.0ms	(+.f64 (sqrt.f64 (-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))) b)
4.0ms	(-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))
4.0ms	(.f64 3 (.f64 c a))

simplify138.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

692×	`fma-def_binary64`
306×	`cancel-sign-sub-inv_binary64`
306×	`fma-neg_binary64`
167×	`associate-r_binary64`
160×	`distribute-frac-neg_binary64`

Counts

191 → 260

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	300	4996
1	733	4667
2	2580	4412
3	4855	4412
4	4907	4412

prune255.0ms (3.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	260	0	260
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	260	8	268

Error

Counts

268 → 8

Alt Table

Status	Error	Program
	0.6b	(.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a)) (/.f64 1 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b)))
✓	0.3b	(/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (-.f64 (pow.f64 b 2) (.f64 3 (.f64 c a)))) b))
	1.4b	(.f64 (/.f64 (fma.f64 a (.f64 c -3) 0) (.f64 (cbrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)) (cbrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)))) (/.f64 (/.f64 1/3 a) (cbrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b))))
	0.6b	(/.f64 (sqrt.f64 c) (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (neg.f64 (sqrt.f64 c))))
	0.4b	(/.f64 -1 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) c))
	0.7b	(cbrt.f64 (/.f64 (.f64 (.f64 (neg.f64 c) (neg.f64 c)) (neg.f64 c)) (.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))))
	6.3b	(fma.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) -9/16 (fma.f64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)) -135/128 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3)) -3/8 (.f64 -1/2 (/.f64 c b)))))
	0.6b	(/.f64 (/.f64 (neg.f64 c) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)))

Compiler

Compiled 6831 to 3809 computations (44.2% saved)

regimes3.1s (37.4%)

Accuracy

Total 0.3b remaining (92.8%)

Threshold costs 0.3b (92.8%)

Counts

380 → 1

Compiler

Compiled 55212 to 36683 computations (33.6% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
5×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	37
1	33	37
2	40	37
3	45	37
4	47	37
5	45	37

end165.0ms (2%)

Compiler: Compiled 314 to 198 computations (36.9% saved)

Details

analyze361.0ms (4.4%)

sample1.6s (19.1%)

simplify348.0ms (4.2%)

prune4.0ms (0%)

localize9.0ms (0.1%)

series151.0ms (1.8%)

rewrite23.0ms (0.3%)

simplify108.0ms (1.3%)

prune164.0ms (2%)

localize12.0ms (0.1%)

series317.0ms (3.9%)

rewrite18.0ms (0.2%)

simplify108.0ms (1.3%)

prune188.0ms (2.3%)

localize9.0ms (0.1%)

series332.0ms (4.1%)

rewrite18.0ms (0.2%)

simplify160.0ms (2%)

prune203.0ms (2.5%)

localize10.0ms (0.1%)

series382.0ms (4.7%)

rewrite78.0ms (1%)

simplify138.0ms (1.7%)

prune255.0ms (3.1%)

regimes3.1s (37.4%)

simplify3.0ms (0%)

end165.0ms (2%)

Profiling