Details

analyze638.0ms (8.4%)

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
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	71.8%	6.4%	7
31.2%	62.4%	6.4%	8
35.9%	55.4%	8.7%	9
37.8%	48.8%	13.4%	10
42.7%	42.3%	15%	11
47.7%	34.2%	18.1%	12
49.1%	30.4%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.8s (37.3%)

Results

1.0s	1186×	body	2048	valid
718.0ms	5400×	body	128	valid
313.0ms	426×	body	4096	valid
300.0ms	714×	body	1024	valid
140.0ms	1101×	body	128	invalid
114.0ms	361×	body	512	valid
39.0ms	169×	body	256	valid

Compiler

Compiled 62 to 44 computations (29% saved)

simplify140.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

2079×	`fma-neg_binary64`
1006×	`fma-def_binary64`
919×	`div-sub_binary64`
626×	`distribute-rgt-in_binary64`
435×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	38	24
2	95	24
3	227	22
4	357	22
5	614	22
6	1103	22
7	1373	22
8	1636	22
9	2330	22
10	3187	22
11	2880	22
12	2827	22
13	2896	22
14	2922	22
15	3797	22
16	4824	22
17	5240	22

prune3.0ms (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

34.3b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	34.4b	(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) a))
	34.4b	(/.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)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a (.f64 c -4) (.f64 b b))
✓	0.1b	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)
✓	0.8b	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
✓	26.0b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))

series117.0ms (1.5%)

Counts

4 → 96

Calls

4 calls:

46.0ms	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)
34.0ms	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
27.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
10.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`*-un-lft-identity_binary64`
16×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
6×	`add-cbrt-cube_binary64`

Counts

4 → 77

Calls

4 calls:

4.0ms	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) a)
3.0ms	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))
1.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
0.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))

simplify92.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

834×	`times-frac_binary64`
539×	`associate-/l*_binary64`
468×	`fma-def_binary64`
198×	`cancel-sign-sub-inv_binary64`
125×	`associate-/r/_binary64`

Counts

173 → 193

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	3876
1	521	3658
2	1578	3494
3	5011	3494

prune180.0ms (2.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	181	12	193
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	183	12	195

Error

8.4b

Counts

195 → 12

Alt Table

Status	Error	Program
	35.4b	(.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) a))
	47.8b	(.f64 -1/2 (.f64 2 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	35.5b	(.f64 -1/2 (.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) a)))
	37.2b	(.f64 -1/2 (/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))) a))
	56.3b	(*.f64 -1/2 (/.f64 (+.f64 b (neg.f64 b)) a))
	36.0b	(.f64 -1/2 (.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (cbrt.f64 a))))
	57.1b	(.f64 -1/2 (cbrt.f64 (/.f64 (.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (.f64 (*.f64 a a) a))))
	44.9b	(*.f64 -1/2 (/.f64 (+.f64 b b) a))
	42.7b	(.f64 -1/2 (.f64 2 (/.f64 c b)))
	45.0b	(.f64 -1/2 (.f64 2 (-.f64 (/.f64 b a) (/.f64 c b))))
▶	34.4b	(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 a (.f64 c -4)) (.f64 b b)))) a))
	46.1b	(.f64 -1/2 (/.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a -4)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) a))

Compiler

Compiled 5363 to 3249 computations (39.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 a (.f64 c -4)) (*.f64 b b)))) a)
✓	0.8b	(+.f64 b (sqrt.f64 (+.f64 (.f64 a (.f64 c -4)) (*.f64 b b))))
✓	1.4b	(+.f64 (.f64 a (.f64 c -4)) (*.f64 b b))
✓	26.0b	(sqrt.f64 (+.f64 (.f64 a (.f64 c -4)) (*.f64 b b)))

series119.0ms (1.6%)

Counts

4 → 96

Calls

4 calls:

47.0ms	(/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 a (.f64 c -4)) (*.f64 b b)))) a)
32.0ms	(+.f64 b (sqrt.f64 (+.f64 (.f64 a (.f64 c -4)) (*.f64 b b))))
29.0ms	(sqrt.f64 (+.f64 (.f64 a (.f64 c -4)) (*.f64 b b)))
10.0ms	(+.f64 (.f64 a (.f64 c -4)) (*.f64 b b))

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`*-un-lft-identity_binary64`
16×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
8×	`add-log-exp_binary64`

Counts

4 → 83

Calls

4 calls:

7.0ms	(/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 a (.f64 c -4)) (*.f64 b b)))) a)
5.0ms	(+.f64 b (sqrt.f64 (+.f64 (.f64 a (.f64 c -4)) (*.f64 b b))))
5.0ms	(sqrt.f64 (+.f64 (.f64 a (.f64 c -4)) (*.f64 b b)))
4.0ms	(+.f64 (.f64 a (.f64 c -4)) (*.f64 b b))

simplify140.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

796×	`fma-def_binary64`
456×	`fma-neg_binary64`
312×	`cancel-sign-sub-inv_binary64`
188×	`distribute-rgt-in_binary64`
163×	`distribute-rgt-neg-in_binary64`

Counts

179 → 202

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	4008
1	600	3826
2	2097	3615
3	4543	3615
4	4958	3615

prune140.0ms (1.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	200	2	202
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	202	12	214

Error

8.3b

Counts

214 → 12

Alt Table

Status	Error	Program
	39.2b	(.f64 -1/2 (/.f64 (/.f64 (.f64 (.f64 c a) 4) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) a))
	36.0b	(.f64 -1/2 (.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (cbrt.f64 a))))
	51.8b	(.f64 -1/2 (/.f64 (fma.f64 2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (.f64 4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)))) a))
	57.1b	(.f64 -1/2 (cbrt.f64 (/.f64 (.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (.f64 (*.f64 a a) a))))
	35.5b	(.f64 -1/2 (.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) a)))
	37.2b	(.f64 -1/2 (/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))) a))
	56.3b	(*.f64 -1/2 (/.f64 (+.f64 b (neg.f64 b)) a))
▶	35.4b	(.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) a))
	44.9b	(*.f64 -1/2 (/.f64 (+.f64 b b) a))
	42.7b	(.f64 -1/2 (.f64 2 (/.f64 c b)))
	45.0b	(.f64 -1/2 (.f64 2 (-.f64 (/.f64 b a) (/.f64 c b))))
✓	34.4b	(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 a (.f64 c -4)) (.f64 b b)))) a))

Compiler

Compiled 5794 to 3529 computations (39.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) a)
✓	0.2b	(.f64 c (.f64 a -4))
✓	0.3b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))
✓	14.3b	(sqrt.f64 (.f64 c (.f64 a -4)))

series217.0ms (2.9%)

Counts

4 → 52

Calls

4 calls:

117.0ms	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) a)
79.0ms	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))
15.0ms	(sqrt.f64 (.f64 c (.f64 a -4)))
6.0ms	(.f64 c (.f64 a -4))

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64`
15×	`pow1_binary64`
12×	`times-frac_binary64`

Counts

4 → 86

Calls

4 calls:

4.0ms	(/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) a)
4.0ms	(.f64 c (.f64 a -4))
2.0ms	(sqrt.f64 (.f64 c (.f64 a -4)))
2.0ms	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))

simplify99.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

807×	`associate-/r*_binary64`
519×	`fma-def_binary64`
272×	`associate-*r/_binary64`
246×	`associate-*l/_binary64`
154×	`cancel-sign-sub-inv_binary64`

Counts

138 → 174

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	203	2788
1	511	2592
2	1653	2541
3	4669	2537
4	5023	2537

prune137.0ms (1.8%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	171	3	174
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	173	13	186

Error

3.7b

Counts

186 → 13

Alt Table

Status	Error	Program
	51.8b	(.f64 -1/2 (/.f64 (fma.f64 2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (.f64 4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)))) a))
	57.1b	(.f64 -1/2 (cbrt.f64 (/.f64 (.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (.f64 (*.f64 a a) a))))
	42.7b	(.f64 -1/2 (.f64 2 (/.f64 c b)))
	50.5b	(.f64 -1/2 (exp.f64 (-.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) (log.f64 a))))
✓	34.4b	(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 a (.f64 c -4)) (.f64 b b)))) a))
	35.9b	(.f64 -1/2 (/.f64 (.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (/.f64 a (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))))))
▶	35.5b	(.f64 -1/2 (.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) a)))
	56.3b	(*.f64 -1/2 (/.f64 (+.f64 b (neg.f64 b)) a))
	39.2b	(.f64 -1/2 (/.f64 (/.f64 (.f64 (.f64 c a) 4) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) a))
✓	35.4b	(.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) a))
	44.9b	(*.f64 -1/2 (/.f64 (+.f64 b b) a))
	45.0b	(.f64 -1/2 (.f64 2 (-.f64 (/.f64 b a) (/.f64 c b))))
	46.5b	(.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4))))) a))

Compiler

Compiled 4877 to 3114 computations (36.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) a))
	0.2b	(.f64 c (.f64 a -4))
	0.3b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))
	14.3b	(sqrt.f64 (.f64 c (.f64 a -4)))

series119.0ms (1.6%)

Counts

1 → 14

Calls

1 calls:

118.0ms

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

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64`
25×	`associate-r_binary64`
25×	`times-frac_binary64`
25×	`*-un-lft-identity_binary64`
21×	`sqrt-prod_binary64`

Counts

1 → 58

Calls

1 calls:

13.0ms

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

simplify95.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

723×	`times-frac_binary64`
674×	`fma-def_binary64`
521×	`associate-/l*_binary64`
377×	`associate-l_binary64`
320×	`associate-/r*_binary64`

Counts

72 → 101

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	2966
1	417	2557
2	1244	2400
3	4616	2396
4	5230	2396

prune259.0ms (3.4%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	297	0	297
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	297	13	310

Error

3.7b

Counts

310 → 13

Alt Table

Status	Error	Program
	51.8b	(.f64 -1/2 (/.f64 (fma.f64 2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3))) (.f64 4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)))) a))
	57.1b	(.f64 -1/2 (cbrt.f64 (/.f64 (.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))))) (.f64 (*.f64 a a) a))))
	42.7b	(.f64 -1/2 (.f64 2 (/.f64 c b)))
	50.5b	(.f64 -1/2 (exp.f64 (-.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) (log.f64 a))))
✓	34.4b	(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 a (.f64 c -4)) (.f64 b b)))) a))
	35.9b	(.f64 -1/2 (/.f64 (.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (/.f64 a (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))))))
✓	35.5b	(.f64 -1/2 (.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) a)))
	56.3b	(*.f64 -1/2 (/.f64 (+.f64 b (neg.f64 b)) a))
	39.2b	(.f64 -1/2 (/.f64 (/.f64 (.f64 (.f64 c a) 4) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4)))))) a))
✓	35.4b	(.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) a))
	44.9b	(*.f64 -1/2 (/.f64 (+.f64 b b) a))
	45.0b	(.f64 -1/2 (.f64 2 (-.f64 (/.f64 b a) (/.f64 c b))))
	46.5b	(.f64 -1/2 (/.f64 (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4))))) a))

Compiler

Compiled 11212 to 7320 computations (34.7% saved)

regimes1.9s (24.8%)

Accuracy

Total 7.5b remaining (71.7%)

Threshold costs 0b (0%)

Counts

134 → 3

Compiler

Compiled 15008 to 10074 computations (32.9% saved)

bsearch81.0ms (1.1%)

Steps

Iters	Range		Point
9	5.329808561740872e+92	4.6543464877957586e+98	2.1532958080945476e+95
8	-1.4483942438908369e-12	-3.56303397615803e-15	-3.62263644777804e-15

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
4×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	60
1	42	60
2	48	60
3	52	60
4	55	60
5	56	60
6	55	60

end183.0ms (2.4%)

Compiler: Compiled 385 to 259 computations (32.7% saved)

Details

analyze638.0ms (8.4%)

sample2.8s (37.3%)

simplify140.0ms (1.8%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series117.0ms (1.5%)

rewrite12.0ms (0.2%)

simplify92.0ms (1.2%)

prune180.0ms (2.4%)

localize10.0ms (0.1%)

series119.0ms (1.6%)

rewrite24.0ms (0.3%)

simplify140.0ms (1.9%)

prune140.0ms (1.8%)

localize9.0ms (0.1%)

series217.0ms (2.9%)

rewrite16.0ms (0.2%)

simplify99.0ms (1.3%)

prune137.0ms (1.8%)

localize11.0ms (0.1%)

series119.0ms (1.6%)

rewrite21.0ms (0.3%)

simplify95.0ms (1.3%)

prune259.0ms (3.4%)

regimes1.9s (24.8%)

bsearch81.0ms (1.1%)

simplify4.0ms (0%)

end183.0ms (2.4%)

Profiling