Details

analyze355.0ms (4.6%)

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)

sample153.0ms (2%)

Algorithm

1×

intervals

Results

19.0ms	246×	body	128	valid
11.0ms	295×	pre	128	true
3.0ms	39×	body	128	nan
1.0ms	10×	body	256	valid

Compiler

Compiled 66 to 48 computations (27.3% saved)

simplify360.0ms (4.7%)

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 (0.1%)

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

28.8b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	28.8b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a))
	28.8b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Compiler

Compiled 111 to 74 computations (33.3% saved)

localize11.0ms (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 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a))
✓	0.4b	(/.f64 1/3 a)
✓	28.8b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)

series157.0ms (2%)

Counts

4 → 76

Calls

4 calls:

90.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a))
55.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)
11.0ms	(fma.f64 a (.f64 c -3) (.f64 b b))
2.0ms	(/.f64 1/3 a)

rewrite24.0ms (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:

10.0ms	(.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))

simplify110.0ms (1.4%)

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

prune179.0ms (2.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	214	7	221
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	216	7	223

Error

0.2b

Counts

223 → 7

Alt Table

Status	Error	Program
	29.9b	(.f64 (.f64 (+.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))) (sqrt.f64 b)) (-.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))) (sqrt.f64 b))) (/.f64 1/3 a))
	30.3b	(.f64 (+.f64 (fma.f64 1 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) (neg.f64 (.f64 (cbrt.f64 b) (.f64 (cbrt.f64 b) (cbrt.f64 b))))) (fma.f64 (neg.f64 (cbrt.f64 b)) (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (cbrt.f64 b) (.f64 (cbrt.f64 b) (cbrt.f64 b))))) (/.f64 1/3 a))
	6.0b	(.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))
	28.8b	(.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (/.f64 (sqrt.f64 1/3) 1)) (/.f64 (sqrt.f64 1/3) a))
	5.7b	(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)))))))
▶	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))
	28.8b	(.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (/.f64 (*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3)) (sqrt.f64 a))) (/.f64 (cbrt.f64 1/3) (sqrt.f64 a)))

Compiler

Compiled 6127 to 3563 computations (41.8% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(fma.f64 a (.f64 c -3) (.f64 b b))
✓	0.3b	(fma.f64 a (*.f64 c -3) 0)
✓	0.3b	(.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a))
	0.4b	(/.f64 1/3 a)

series16.0ms (0.2%)

Counts

2 → 48

Calls

2 calls:

10.0ms	(.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a))
5.0ms	(fma.f64 a (*.f64 c -3) 0)

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`times-frac_binary64`
10×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64`

Counts

2 → 44

Calls

2 calls:

5.0ms	(.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a))
0.0ms	(fma.f64 a (*.f64 c -3) 0)

simplify98.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

517×	`distribute-rgt-in_binary64`
506×	`associate-/l/_binary64`
492×	`associate-l_binary64`
430×	`associate-/r/_binary64`
383×	`associate-r_binary64`

Counts

92 → 79

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	1049
1	175	901
2	597	847
3	2395	797
4	4205	797
5	4724	797
6	5000	797
7	4845	797

prune163.0ms (2.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	128	8	136
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	131	12	143

Error

0.0b

Counts

143 → 12

Alt Table

Status	Error	Program
	0.8b	(/.f64 (.f64 (cbrt.f64 (.f64 -27 (pow.f64 (.f64 c a) 3))) (/.f64 1/3 a)) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b))
	5.7b	(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)))))))
	1.3b	(/.f64 (.f64 (.f64 (.f64 -3 (.f64 c a)) (/.f64 (sqrt.f64 1/3) (.f64 (cbrt.f64 a) (cbrt.f64 a)))) (/.f64 (sqrt.f64 1/3) (cbrt.f64 a))) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b))
▶	0.3b	(/.f64 (/.f64 (.f64 (neg.f64 c) 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 (sqrt.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 a (.f64 c -3) (.f64 b b)) (fma.f64 a (.f64 c -3) (.f64 b b))) (fma.f64 a (.f64 c -3) (.f64 b b))))) b))
	6.0b	(.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))
	0.7b	(/.f64 (.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (sqrt.f64 (/.f64 1/3 a))) (sqrt.f64 (/.f64 1/3 a))) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b))
	1.1b	(/.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a)) (+.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (fma.f64 c (.f64 a -3) (.f64 b b))))) b))
	0.6b	(/.f64 (.f64 (.f64 -3 (.f64 c a)) (/.f64 1/3 a)) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b))
	28.8b	(.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (/.f64 (*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3)) (sqrt.f64 a))) (/.f64 (cbrt.f64 1/3) (sqrt.f64 a)))
	29.9b	(.f64 (.f64 (+.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))) (sqrt.f64 b)) (-.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))) (sqrt.f64 b))) (/.f64 1/3 a))
	1.4b	(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 1/3 (.f64 c -3))) (cbrt.f64 (.f64 1/3 (.f64 c -3)))) (cbrt.f64 (.f64 1/3 (.f64 c -3)))) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))

Compiler

Compiled 4533 to 2839 computations (37.4% saved)

localize13.0ms (0.2%)

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 (/.f64 (.f64 (neg.f64 c) a) 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))

series390.0ms (5.1%)

Counts

3 → 60

Calls

3 calls:

288.0ms

(/.f64 (/.f64 (*.f64 (neg.f64 c) a) a) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b))

53.0ms

(+.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b)

48.0ms

(sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b)))

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`times-frac_binary64`
42×	`*-un-lft-identity_binary64`
25×	`add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64`
12×	`add-cbrt-cube_binary64`

Counts

3 → 96

Calls

3 calls:

8.0ms

(/.f64 (/.f64 (*.f64 (neg.f64 c) a) a) (+.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)))

simplify107.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

496×	`fma-def_binary64`
442×	`distribute-frac-neg_binary64`
293×	`div-sub_binary64`
183×	`associate-/l*_binary64`
183×	`times-frac_binary64`

Counts

156 → 213

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	273	4607
1	725	4348
2	2656	4189
3	4930	4189

prune217.0ms (2.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	232	5	237
Fresh	8	3	11
Picked	1	0	1
Done	0	0	0
Total	241	8	249

Error

Counts

249 → 8

Alt Table

Status	Error	Program
	0.4b	(/.f64 (.f64 (neg.f64 c) a) (.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) a))
	6.0b	(.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))
	0.5b	(/.f64 (/.f64 (.f64 (neg.f64 c) a) a) (fma.f64 (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) (cbrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))))) (sqrt.f64 (cbrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))) b))
	5.7b	(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)))))))
	1.4b	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (neg.f64 c) a) a)) (cbrt.f64 (/.f64 (.f64 (neg.f64 c) a) a))) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))) (/.f64 (cbrt.f64 (/.f64 (.f64 (neg.f64 c) a) a)) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b))))
	0.7b	(.f64 (/.f64 (.f64 (neg.f64 c) a) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))) (/.f64 (/.f64 1 a) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))))
	0.6b	(/.f64 (.f64 (.f64 -3 (.f64 c a)) (/.f64 1/3 a)) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b))
▶	0.4b	(/.f64 (/.f64 (.f64 (neg.f64 c) a) a) (+.f64 (cbrt.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))) (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))))) b))

Compiler

Compiled 7353 to 3574 computations (51.4% saved)

localize16.0ms (0.2%)

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 (.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))) (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))))
✓	0.5b	(.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))))
✓	0.6b	(cbrt.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))) (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))))

series184.0ms (2.4%)

Counts

3 → 76

Calls

3 calls:

87.0ms

(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b)))) (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b)))))

86.0ms

(*.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b)))) (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))))

11.0ms

(*.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))))

rewrite34.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`pow1_binary64`
34×	`add-sqr-sqrt_binary64`
31×	`pow-prod-up_binary64`
29×	`sqrt-pow1_binary64`
29×	`pow1/2_binary64`

Counts

3 → 116

Calls

3 calls:

9.0ms

(*.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b)))) (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))))

7.0ms

(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b)))) (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b)))))

6.0ms

(*.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))))

simplify92.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

854×	`associate-/r*_binary64`
372×	`fma-def_binary64`
215×	`cancel-sign-sub-inv_binary64`
209×	`unswap-sqr_binary64`
171×	`associate-/r/_binary64`

Counts

192 → 193

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	4127
1	492	3384
2	1879	3158
3	5545	3158

prune323.0ms (4.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	265	0	265
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	265	8	273

Error

Counts

273 → 8

Alt Table

Status	Error	Program
	0.4b	(/.f64 (.f64 (neg.f64 c) a) (.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) a))
	6.0b	(.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))
	0.5b	(/.f64 (/.f64 (.f64 (neg.f64 c) a) a) (fma.f64 (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) (cbrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))))) (sqrt.f64 (cbrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))) b))
	5.7b	(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)))))))
	1.4b	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (neg.f64 c) a) a)) (cbrt.f64 (/.f64 (.f64 (neg.f64 c) a) a))) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))) (/.f64 (cbrt.f64 (/.f64 (.f64 (neg.f64 c) a) a)) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b))))
	0.7b	(.f64 (/.f64 (.f64 (neg.f64 c) a) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))) (/.f64 (/.f64 1 a) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))))
	0.6b	(/.f64 (.f64 (.f64 -3 (.f64 c a)) (/.f64 1/3 a)) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b))
✓	0.4b	(/.f64 (/.f64 (.f64 (neg.f64 c) a) a) (+.f64 (cbrt.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b)))) (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))))) b))

Compiler

Compiled 11073 to 5487 computations (50.4% saved)

regimes3.1s (40.7%)

Accuracy

Total 0.2b remaining (89.1%)

Threshold costs 0.2b (89.1%)

Counts

407 → 1

Compiler

Compiled 62571 to 40471 computations (35.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
3×	`*-commutative_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`
2×	`distribute-frac-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	25	27
2	28	27
3	31	27
4	33	27
5	34	27
6	33	27

end1.0ms (0%)

Compiler: Compiled 21 to 13 computations (38.1% saved)

sample1.5s (19.6%)

Algorithm

1×

intervals

Results

531.0ms	7680×	body	128	valid
328.0ms	8967×	pre	128	true
62.0ms	967×	body	128	nan
43.0ms	320×	body	256	valid

Compiler

Compiled 385 to 241 computations (37.4% saved)

Details

analyze355.0ms (4.6%)

sample153.0ms (2%)

simplify360.0ms (4.7%)

prune4.0ms (0.1%)

localize11.0ms (0.1%)

series157.0ms (2%)

rewrite24.0ms (0.3%)

simplify110.0ms (1.4%)

prune179.0ms (2.3%)

localize14.0ms (0.2%)

series16.0ms (0.2%)

rewrite8.0ms (0.1%)

simplify98.0ms (1.3%)

prune163.0ms (2.1%)

localize13.0ms (0.2%)

series390.0ms (5.1%)

rewrite21.0ms (0.3%)

simplify107.0ms (1.4%)

prune217.0ms (2.8%)

localize16.0ms (0.2%)

series184.0ms (2.4%)

rewrite34.0ms (0.4%)

simplify92.0ms (1.2%)

prune323.0ms (4.2%)

regimes3.1s (40.7%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.5s (19.6%)

Profiling