Details

analyze438.0ms (6.8%)

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 33 to 24 computations (27.3% saved)

sample51.0ms (0.8%)

Algorithm

1×

intervals

Results

17.0ms	244×	body	128	valid
17.0ms	294×	pre	128	true
3.0ms	38×	body	128	nan
2.0ms	12×	body	256	valid

Compiler

Compiled 56 to 41 computations (26.8% saved)

simplify369.0ms (5.7%)

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

30.5b

Counts

3 → 2

Alt Table

Status	Error	Program
	30.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
▶	30.5b	(.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)

localize10.0ms (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))) b) (/.f64 1/3 a))
✓	0.3b	(/.f64 1/3 a)
✓	30.3b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)

rewrite24.0ms (0.4%)

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))

series164.0ms (2.5%)

Counts

4 → 76

Calls

4 calls:

77.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a))
49.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)
32.0ms	(fma.f64 a (.f64 c -3) (.f64 b b))
5.0ms	(/.f64 1/3 a)

simplify126.0ms (2%)

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 → 357

Iterations

Useful iterations: 2 (0.0ms)

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

prune170.0ms (2.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	349	8	357
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	351	8	359

Error

0.1b

Counts

359 → 8

Alt Table

Status	Error	Program
▶	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))
	4.7b	(.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))
	30.5b	(cbrt.f64 (.f64 (.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)) (/.f64 (.f64 (.f64 1/3 1/3) 1/3) (.f64 (*.f64 a a) a))))
	6.8b	(.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))
	4.4b	(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)))))))
	30.5b	(.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (*.f64 (cbrt.f64 (/.f64 1/3 a)) (cbrt.f64 (/.f64 1/3 a)))) (cbrt.f64 (/.f64 1/3 a)))
	30.5b	(/.f64 (.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)))) (.f64 b b)) 1/3) (.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) a))
	30.5b	(.f64 (.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (/.f64 1/3 a))) (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (/.f64 1/3 a)))) (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b) (/.f64 1/3 a))))

Compiler

Compiled 6281 to 3663 computations (41.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-cbrt-cube_binary64`
11×	`add-exp-log_binary64`
8×	`*-un-lft-identity_binary64`
4×	`associate-/r*_binary64`
4×	`times-frac_binary64`

Counts

2 → 40

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

series301.0ms (4.7%)

Counts

2 → 44

Calls

2 calls:

277.0ms	(/.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))
24.0ms	(fma.f64 a (*.f64 c -3) 0)

simplify94.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

703×	`associate-/r*_binary64`
394×	`associate-/l/_binary64`
302×	`fma-def_binary64`
291×	`associate-/r/_binary64`
196×	`fma-neg_binary64`

Counts

84 → 136

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	161	2309
1	441	1969
2	1574	1915
3	4898	1909
4	4943	1909

prune155.0ms (2.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	253	10	263
Fresh	6	1	7
Picked	1	0	1
Done	0	0	0
Total	260	11	271

Error

Counts

271 → 11

Alt Table

Status	Error	Program
	0.7b	(/.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1 (/.f64 a 1/3))) (+.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))
	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)))
	0.7b	(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a))))
	1.2b	(/.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (.f64 (/.f64 (.f64 (cbrt.f64 1/3) (cbrt.f64 1/3)) (sqrt.f64 a)) (/.f64 (cbrt.f64 1/3) (sqrt.f64 a)))) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))
	0.8b	(.f64 (/.f64 (fma.f64 a (.f64 c -3) 0) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))) (/.f64 (/.f64 1/3 a) (sqrt.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))))
	1.3b	(.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 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a)) (+.f64 (sqrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 c (.f64 a -3) (.f64 b b))) (cbrt.f64 (fma.f64 c (.f64 a -3) (.f64 b b)))) (cbrt.f64 (fma.f64 c (.f64 a -3) (.f64 b b))))) b))
	4.7b	(.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))
	0.9b	(cbrt.f64 (/.f64 (.f64 (.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a)) (.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a))) (.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1/3 a))) (.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))))
	4.4b	(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 c (.f64 c a)) (pow.f64 b 3)) -3/8 (.f64 -1/2 (/.f64 c b)))))

Compiler

Compiled 5144 to 3163 computations (38.5% saved)

localize13.0ms (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 (.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))
✓	0.4b	(.f64 (fma.f64 a (.f64 c -3) 0) 1/3)

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
6×	`add-sqr-sqrt_binary64`
5×	`cbrt-unprod_binary64`
5×	`prod-exp_binary64`

Counts

2 → 45

Calls

2 calls:

6.0ms	(/.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))
4.0ms	(.f64 (fma.f64 a (.f64 c -3) 0) 1/3)

series324.0ms (5%)

Counts

2 → 44

Calls

2 calls:

288.0ms	(/.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))
36.0ms	(.f64 (fma.f64 a (.f64 c -3) 0) 1/3)

simplify77.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

498×	`associate-*l/_binary64`
356×	`fma-def_binary64`
283×	`associate-/l/_binary64`
250×	`distribute-rgt-in_binary64`
223×	`associate-/r/_binary64`

Counts

89 → 169

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	2352
1	464	1916
2	1877	1869
3	5037	1869

prune142.0ms (2.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	388	3	391
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	394	8	402

Error

Counts

402 → 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)))
	1.2b	(/.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (.f64 (/.f64 (.f64 (cbrt.f64 1/3) (cbrt.f64 1/3)) (sqrt.f64 a)) (/.f64 (cbrt.f64 1/3) (sqrt.f64 a)))) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))
	0.6b	(/.f64 (/.f64 (.f64 (fma.f64 a (.f64 c -3) 0) 1/3) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b)) a)
	0.6b	(.f64 (.f64 (fma.f64 a (.f64 c -3) 0) 1/3) (/.f64 1 (.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) a)))
	1.3b	(.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))))
▶	0.4b	(/.f64 (neg.f64 (.f64 c a)) (.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) a))
	4.4b	(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 c (.f64 c a)) (pow.f64 b 3)) -3/8 (.f64 -1/2 (/.f64 c b)))))
	0.7b	(/.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (/.f64 1 (/.f64 a 1/3))) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b))

Compiler

Compiled 4583 to 2876 computations (37.2% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
9×	`add-cube-cbrt_binary64`

Counts

3 → 76

Calls

3 calls:

8.0ms

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

5.0ms

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

3.0ms

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

series317.0ms (4.9%)

Counts

3 → 60

Calls

3 calls:

214.0ms

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

59.0ms

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

44.0ms

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

simplify138.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

802×	`fma-def_binary64`
245×	`times-frac_binary64`
234×	`cancel-sign-sub-inv_binary64`
188×	`associate-/l*_binary64`
164×	`distribute-frac-neg_binary64`

Counts

136 → 254

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	244	3939
1	695	3559
2	2743	3416
3	4830	3416
4	5007	3416

prune174.0ms (2.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	612	2	614
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	614	8	622

Error

Counts

622 → 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)))
	1.2b	(/.f64 (.f64 (fma.f64 a (.f64 c -3) 0) (.f64 (/.f64 (.f64 (cbrt.f64 1/3) (cbrt.f64 1/3)) (sqrt.f64 a)) (/.f64 (cbrt.f64 1/3) (sqrt.f64 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) 1/3) (/.f64 1 (.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) a)))
	1.3b	(.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))))
	0.4b	(/.f64 (/.f64 (neg.f64 (.f64 c a)) (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b)) a)
✓	0.4b	(/.f64 (neg.f64 (.f64 c a)) (.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) a))
	4.4b	(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 c (.f64 c a)) (pow.f64 b 3)) -3/8 (.f64 -1/2 (/.f64 c b)))))
	0.3b	(.f64 (/.f64 c (+.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b))) b)) (/.f64 (neg.f64 a) a))

Compiler

Compiled 6015 to 3054 computations (49.2% saved)

regimes1.8s (27.9%)

Accuracy

Total 0.2b remaining (88.4%)

Threshold costs 0.2b (88.4%)

Compiler

Compiled 41226 to 27321 computations (33.7% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	27
1	23	27
2	31	27
3	38	27
4	45	27
5	50	27
6	53	27
7	54	27
8	54	27

end1.0ms (0%)

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

sample1.5s (22.9%)

Algorithm

1×

intervals

Results

555.0ms	7679×	body	128	valid
294.0ms	8992×	pre	128	true
65.0ms	992×	body	128	nan
43.0ms	321×	body	256	valid

Compiler

Compiled 307 to 207 computations (32.6% saved)

Details

analyze438.0ms (6.8%)

sample51.0ms (0.8%)

simplify369.0ms (5.7%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

rewrite24.0ms (0.4%)

series164.0ms (2.5%)

simplify126.0ms (2%)

prune170.0ms (2.6%)

localize14.0ms (0.2%)

rewrite11.0ms (0.2%)

series301.0ms (4.7%)

simplify94.0ms (1.5%)

prune155.0ms (2.4%)

localize13.0ms (0.2%)

rewrite13.0ms (0.2%)

series324.0ms (5%)

simplify77.0ms (1.2%)

prune142.0ms (2.2%)

localize12.0ms (0.2%)

rewrite21.0ms (0.3%)

series317.0ms (4.9%)

simplify138.0ms (2.1%)

prune174.0ms (2.7%)

regimes1.8s (27.9%)

simplify6.0ms (0.1%)

end1.0ms (0%)

sample1.5s (22.9%)

Profiling