Details

analyze1.9s (17%)

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%	99.9%	0.1%	7
0%	93.6%	6.4%	8
9.4%	84.3%	6.4%	9
14.8%	75.7%	9.5%	10
16%	71.4%	12.6%	11
20.9%	65.7%	13.4%	12
24.2%	60.5%	15.3%	13
24.8%	58.6%	16.6%	14

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample102.0ms (0.9%)

Algorithm

1×

intervals

Results

43.0ms	78×	body	1024	valid
17.0ms	133×	body	128	valid
16.0ms	29×	body	512	valid
4.0ms	16×	body	256	valid
3.0ms	20×	body	128	invalid
0.0ms	1×	body	512	invalid
0.0ms	2×	body	128	nan

Compiler

Compiled 64 to 50 computations (21.9% saved)

simplify232.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

924×	`distribute-rgt-neg-in_binary64`
851×	`associate-/l/_binary64`
781×	`sub-neg_binary64`
736×	`div-sub_binary64`
686×	`distribute-lft-neg-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	37
1	48	32
2	91	32
3	167	32
4	340	32
5	966	32
6	2349	32
7	3829	32
8	4128	32
9	4267	32
10	4587	32
11	4821	32
12	3214	32
13	4236	32
14	3641	32
15	4779	32
16	4957	32
17	4632	32

prune10.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

14.0b

Counts

2 → 2

Alt Table

Status	Error	Program
	14.1b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
▶	14.0b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2)) (/.f64 x (tan.f64 B)))

Status

Error

Program

14.1b

(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2)))))

▶

14.0b

(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 x 2)) -1/2)) (/.f64 x (tan.f64 B)))

Compiler

Compiled 132 to 97 computations (26.5% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 F (sin.f64 B))
0.2b	(/.f64 x (tan.f64 B))
9.3b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2))
17.8b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)

rewrite216.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

10.3b

Rules

44×	`add-sqr-sqrt_binary64`
31×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
30×	`times-frac_binary64`
22×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64` `associate-l_binary64`

Counts

4 → 115

Calls

4 calls:

14.0ms	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2))
9.0ms	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)
3.0ms	(/.f64 x (tan.f64 B))
3.0ms	(/.f64 F (sin.f64 B))

Compiler

Compiled 3321 to 1540 computations (53.6% saved)

series257.0ms (2.3%)

Error

0.1b

Counts

4 → 42

Calls

4 calls:

87.0ms	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2))
58.0ms	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)
44.0ms	(/.f64 x (tan.f64 B))
24.0ms	(/.f64 F (sin.f64 B))

Compiler

Compiled 3221 to 2270 computations (29.5% saved)

simplify163.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

469×	`associate-/l*_binary64`
432×	`associate-*l/_binary64`
322×	`associate-*r/_binary64`
217×	`cancel-sign-sub-inv_binary64`
195×	`associate-/r*_binary64`

Counts

157 → 98

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	305	3567
1	695	3365
2	1899	3331
3	4594	3289
4	4915	3289
5	4909	3289

prune137.0ms (1.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	88	10	98
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	89	11	100

Error

0.1b

Counts

100 → 11

Alt Table

Status	Error	Program
	14.1b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	35.3b	(-.f64 (+.f64 (+.f64 (/.f64 x (.f64 (.f64 F F) (sin.f64 B))) (/.f64 1 (.f64 (.f64 F F) (sin.f64 B)))) (/.f64 -1 (sin.f64 B))) (/.f64 x (tan.f64 B)))
▶	10.5b	(-.f64 (.f64 F (/.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	14.1b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4))) (/.f64 x (tan.f64 B)))
	14.0b	(-.f64 (.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)) (sqrt.f64 (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2))) (/.f64 x (tan.f64 B)))
	44.1b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)) (-.f64 (/.f64 x B) (.f64 x (+.f64 (.f64 1/3 B) (.f64 1/45 (pow.f64 B 3))))))
	39.4b	(-.f64 (-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x (.f64 (.f64 F F) (sin.f64 B))) (/.f64 1 (.f64 (.f64 F F) (sin.f64 B))))) (/.f64 x (tan.f64 B)))
	23.3b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2)) 3)) (/.f64 x (tan.f64 B)))
	14.5b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)) (.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (tan.f64 B))))
	33.6b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2)) (cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3)))
	39.0b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B)))

Compiler

Compiled 2957 to 1615 computations (45.4% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 x (tan.f64 B))
0.2b	(.f64 F (/.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2) (sin.f64 B)))
0.4b	(/.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2) (sin.f64 B))
17.8b	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)

rewrite271.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

55×	`add-sqr-sqrt_binary64`
54×	`times-frac_binary64`
45×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
25×	`unpow-prod-down_binary64` `associate-r_binary64`
22×	`add-exp-log_binary64`

Counts

4 → 138

Calls

4 calls:

14.0ms	(.f64 F (/.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2) (sin.f64 B)))
10.0ms	(/.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2) (sin.f64 B))
6.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)
3.0ms	(/.f64 x (tan.f64 B))

Compiler

Compiled 4501 to 2383 computations (47.1% saved)

series311.0ms (2.8%)

Error

0.0b

Counts

4 → 50

Calls

4 calls:

82.0ms	(.f64 F (/.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2) (sin.f64 B)))
78.0ms	(/.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2) (sin.f64 B))
46.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)
38.0ms	(/.f64 x (tan.f64 B))

Compiler

Compiled 4129 to 2943 computations (28.7% saved)

simplify211.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

394×	`associate-/l/_binary64`
383×	`times-frac_binary64`
309×	`associate-/r*_binary64`
275×	`cancel-sign-sub-inv_binary64`
227×	`associate-/r/_binary64`

Counts

188 → 147

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	362	5525
1	821	5162
2	2374	5100
3	4524	5046
4	4950	5046
5	4912	5046

prune213.0ms (1.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	145	2	147
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	148	10	158

Error

0.0b

Counts

158 → 10

Alt Table

Status	Error	Program
	14.1b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	35.3b	(-.f64 (+.f64 (+.f64 (/.f64 x (.f64 (.f64 F F) (sin.f64 B))) (/.f64 1 (.f64 (.f64 F F) (sin.f64 B)))) (/.f64 -1 (sin.f64 B))) (/.f64 x (tan.f64 B)))
	39.5b	(-.f64 (.f64 F (-.f64 (/.f64 1 (.f64 F (sin.f64 B))) (+.f64 (/.f64 x (.f64 (sin.f64 B) (pow.f64 F 3))) (/.f64 1 (.f64 (sin.f64 B) (pow.f64 F 3)))))) (/.f64 x (tan.f64 B)))
	14.1b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4))) (/.f64 x (tan.f64 B)))
	14.0b	(-.f64 (.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)) (sqrt.f64 (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2))) (/.f64 x (tan.f64 B)))
▶	11.0b	(-.f64 (.f64 F (/.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2) (sin.f64 B))) (.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (tan.f64 B))))
	44.1b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)) (-.f64 (/.f64 x B) (.f64 x (+.f64 (.f64 1/3 B) (.f64 1/45 (pow.f64 B 3))))))
	39.4b	(-.f64 (-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x (.f64 (.f64 F F) (sin.f64 B))) (/.f64 1 (.f64 (.f64 F F) (sin.f64 B))))) (/.f64 x (tan.f64 B)))
	23.3b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2)) 3)) (/.f64 x (tan.f64 B)))
	33.6b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2)) (cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3)))

Compiler

Compiled 4434 to 2527 computations (43% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
17.8b	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)

rewrite85.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64` `cbrt-prod_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`unpow-prod-down_binary64` `pow-unpow_binary64` `pow1/3_binary64`
1×	`pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `sqr-pow_binary64`

Counts

4 → 50

Calls

4 calls:

6.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)
3.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1663 to 723 computations (56.5% saved)

series128.0ms (1.2%)

Error

0.0b

Counts

4 → 20

Calls

4 calls:

48.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)
19.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 x)
17.0ms	(cbrt.f64 x)

Compiler

Compiled 2055 to 1401 computations (31.8% saved)

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

618×	`cancel-sign-sub-inv_binary64`
360×	`distribute-rgt-neg-in_binary64`
218×	`associate-r_binary64`
206×	`distribute-neg-frac_binary64`
205×	`associate-l_binary64`

Counts

70 → 47

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	996
1	260	956
2	686	936
3	2493	906
4	4841	906
5	4932	906

prune63.0ms (0.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	47	10	57

Error

0.0b

Counts

57 → 10

Alt Table

Status	Error	Program
	14.1b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	35.3b	(-.f64 (+.f64 (+.f64 (/.f64 x (.f64 (.f64 F F) (sin.f64 B))) (/.f64 1 (.f64 (.f64 F F) (sin.f64 B)))) (/.f64 -1 (sin.f64 B))) (/.f64 x (tan.f64 B)))
	39.5b	(-.f64 (.f64 F (-.f64 (/.f64 1 (.f64 F (sin.f64 B))) (+.f64 (/.f64 x (.f64 (sin.f64 B) (pow.f64 F 3))) (/.f64 1 (.f64 (sin.f64 B) (pow.f64 F 3)))))) (/.f64 x (tan.f64 B)))
	14.1b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4))) (/.f64 x (tan.f64 B)))
▶	14.0b	(-.f64 (.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)) (sqrt.f64 (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2))) (/.f64 x (tan.f64 B)))
✓	11.0b	(-.f64 (.f64 F (/.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2) (sin.f64 B))) (.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (tan.f64 B))))
	44.1b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)) (-.f64 (/.f64 x B) (.f64 x (+.f64 (.f64 1/3 B) (.f64 1/45 (pow.f64 B 3))))))
	39.4b	(-.f64 (-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x (.f64 (.f64 F F) (sin.f64 B))) (/.f64 1 (.f64 (.f64 F F) (sin.f64 B))))) (/.f64 x (tan.f64 B)))
	23.3b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2)) 3)) (/.f64 x (tan.f64 B)))
	33.6b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2)) (cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3)))

Compiler

Compiled 1794 to 986 computations (45% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.5b	(.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)) (sqrt.f64 (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)))
5.0b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/4))
17.8b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)
18.3b	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)

rewrite256.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

40×	`add-exp-log_binary64`
33×	`add-sqr-sqrt_binary64`
20×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
19×	`prod-exp_binary64`
18×	`add-cbrt-cube_binary64`

Counts

4 → 108

Calls

4 calls:

21.0ms	(.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)) (sqrt.f64 (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)))
13.0ms	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/4))
7.0ms	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)
6.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)

Compiler

Compiled 4707 to 2650 computations (43.7% saved)

series384.0ms (3.5%)

Error

0.0b

Counts

4 → 50

Calls

4 calls:

122.0ms	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/4))
86.0ms	(.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)) (sqrt.f64 (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)))
52.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)
46.0ms	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)

Compiler

Compiled 5829 to 4285 computations (26.5% saved)

simplify203.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

355×	`cancel-sign-sub-inv_binary64`
289×	`associate-l_binary64`
275×	`associate-r_binary64`
245×	`times-frac_binary64`
223×	`*-commutative_binary64`

Counts

158 → 146

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	374	5533
1	921	5106
2	2869	4618
3	4419	4536
4	4955	4536
5	4888	4536

prune214.0ms (2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	146	10	156

Error

0.0b

Counts

156 → 10

Alt Table

Status	Error	Program
	14.1b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	35.3b	(-.f64 (+.f64 (+.f64 (/.f64 x (.f64 (.f64 F F) (sin.f64 B))) (/.f64 1 (.f64 (.f64 F F) (sin.f64 B)))) (/.f64 -1 (sin.f64 B))) (/.f64 x (tan.f64 B)))
	39.5b	(-.f64 (.f64 F (-.f64 (/.f64 1 (.f64 F (sin.f64 B))) (+.f64 (/.f64 x (.f64 (sin.f64 B) (pow.f64 F 3))) (/.f64 1 (.f64 (sin.f64 B) (pow.f64 F 3)))))) (/.f64 x (tan.f64 B)))
	14.1b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4))) (/.f64 x (tan.f64 B)))
	14.0b	(-.f64 (.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)) (sqrt.f64 (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2))) (/.f64 x (tan.f64 B)))
	11.0b	(-.f64 (.f64 F (/.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2) (sin.f64 B))) (.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (tan.f64 B))))
	44.1b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)) (-.f64 (/.f64 x B) (.f64 x (+.f64 (.f64 1/3 B) (.f64 1/45 (pow.f64 B 3))))))
	39.4b	(-.f64 (-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x (.f64 (.f64 F F) (sin.f64 B))) (/.f64 1 (.f64 (.f64 F F) (sin.f64 B))))) (/.f64 x (tan.f64 B)))
	23.3b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2)) 3)) (/.f64 x (tan.f64 B)))
	33.6b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2)) (cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3)))

Compiler

Compiled 4766 to 2788 computations (41.5% saved)

regimes2.2s (20.4%)

Accuracy

Total 0.2b remaining (71.9%)

Threshold costs 0.2b (71.9%)

Compiler

Compiled 32008 to 21900 computations (31.6% saved)

bsearch129.0ms (1.2%)

Steps

Iters	Range		Point
8	0.9777134422952218	28315.633916839615	27842.90360465268
8	-3.3526946972257814e+43	-6.457004208260908e+40	-6.533745919767842e+40

Compiler

Compiled 4 to 3 computations (25% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
9×	`sub-neg_binary64` `*-commutative_binary64`
5×	`neg-mul-1_binary64` `neg-sub0_binary64`
3×	`distribute-neg-frac_binary64`
2×	`unsub-neg_binary64` `distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	145
1	57	145
2	71	145
3	86	145
4	94	145
5	97	145
6	95	145

end2.0ms (0%)

Compiler: Compiled 97 to 47 computations (51.5% saved)

sample3.1s (28.3%)

Algorithm

1×

intervals

Results

1.2s	2215×	body	1024	valid
530.0ms	4183×	body	128	valid
399.0ms	1070×	body	512	valid
127.0ms	524×	body	256	valid
85.0ms	680×	body	128	invalid
13.0ms	132×	body	128	nan
8.0ms	8×	body	2048	valid
1.0ms	2×	body	512	invalid

Compiler

Compiled 448 to 287 computations (35.9% saved)

Details

analyze1.9s (17%)

sample102.0ms (0.9%)

simplify232.0ms (2.1%)

prune10.0ms (0.1%)

localize25.0ms (0.2%)

rewrite216.0ms (2%)

series257.0ms (2.3%)

simplify163.0ms (1.5%)

prune137.0ms (1.2%)

localize17.0ms (0.2%)

rewrite271.0ms (2.5%)

series311.0ms (2.8%)

simplify211.0ms (1.9%)

prune213.0ms (1.9%)

localize21.0ms (0.2%)

rewrite85.0ms (0.8%)

series128.0ms (1.2%)

simplify80.0ms (0.7%)

prune63.0ms (0.6%)

localize25.0ms (0.2%)

rewrite256.0ms (2.3%)

series384.0ms (3.5%)

simplify203.0ms (1.9%)

prune214.0ms (2%)

regimes2.2s (20.4%)

bsearch129.0ms (1.2%)

simplify7.0ms (0.1%)

end2.0ms (0%)

sample3.1s (28.3%)

Profiling