Details

analyze1.9s (16%)

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)

sample94.0ms (0.8%)

Algorithm

1×

intervals

Results

37.0ms	65×	body	1024	valid
18.0ms	141×	body	128	valid
12.0ms	30×	body	512	valid
6.0ms	20×	body	256	valid
3.0ms	23×	body	128	invalid
0.0ms	2×	body	128	nan

Compiler

Compiled 64 to 50 computations (21.9% saved)

simplify234.0ms (1.9%)

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

prune17.0ms (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

13.9b

Counts

2 → 2

Alt Table

Status	Error	Program
▶	13.9b	(-.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)))
	14.3b	(+.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)))))

Status

Error

Program

▶

13.9b

(-.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)))

14.3b

(+.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)))))

Compiler

Compiled 132 to 97 computations (26.5% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 F (sin.f64 B))
0.2b	(/.f64 x (tan.f64 B))
6.7b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2))
16.9b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)

rewrite225.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

11.1b

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)

series287.0ms (2.4%)

Error

0.1b

Counts

4 → 46

Calls

4 calls:

95.0ms	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2))
64.0ms	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)
45.0ms	(/.f64 x (tan.f64 B))
29.0ms	(/.f64 F (sin.f64 B))

Compiler

Compiled 3625 to 2561 computations (29.4% saved)

simplify181.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

514×	`associate-/l*_binary64`
449×	`associate-*l/_binary64`
223×	`cancel-sign-sub-inv_binary64`
205×	`associate-/r*_binary64`
182×	`times-frac_binary64`

Counts

161 → 102

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	327	3753
1	752	3525
2	2070	3471
3	4729	3441
4	4998	3441
5	4914	3441

prune141.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	93	9	102
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	94	10	104

Error

0.0b

Counts

104 → 10

Alt Table

Status	Error	Program
	38.5b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B)))
	43.3b	(-.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)))
▶	11.3b	(-.f64 (/.f64 (.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	43.7b	(-.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)))
	32.7b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)) (.f64 (sqrt.f64 x) (/.f64 (sqrt.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)))
	35.9b	(-.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)))
	14.3b	(+.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)) (.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)))
	40.6b	(-.f64 (.f64 (/.f64 (.f64 (cbrt.f64 F) (cbrt.f64 F)) (sqrt.f64 (sin.f64 B))) (.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2) (/.f64 (cbrt.f64 F) (sqrt.f64 (sin.f64 B))))) (/.f64 x (tan.f64 B)))

Compiler

Compiled 3055 to 1649 computations (46% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 x (tan.f64 B))
0.3b	(.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2))
0.3b	(/.f64 (.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2)) (sin.f64 B))
16.9b	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)

rewrite177.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`add-sqr-sqrt_binary64`
22×	`add-exp-log_binary64`
19×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
13×	`add-cbrt-cube_binary64`
12×	`times-frac_binary64`

Counts

4 → 93

Calls

4 calls:

10.0ms	(.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2))
10.0ms	(/.f64 (.f64 F (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 2683 to 1408 computations (47.5% saved)

series291.0ms (2.4%)

Error

0.0b

Counts

4 → 50

Calls

4 calls:

91.0ms	(/.f64 (.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2)) (sin.f64 B))
50.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)
47.0ms	(.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2))
42.0ms	(/.f64 x (tan.f64 B))

Compiler

Compiled 4017 to 2914 computations (27.5% saved)

simplify168.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

748×	`times-frac_binary64`
315×	`associate-/l/_binary64`
290×	`cancel-sign-sub-inv_binary64`
172×	`distribute-rgt-neg-in_binary64`
156×	`distribute-lft-neg-in_binary64`

Counts

143 → 103

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	320	3658
1	743	3369
2	2222	3317
3	4650	3287
4	4943	3287
5	4937	3287

prune139.0ms (1.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	103	10	113

Error

0.0b

Counts

113 → 10

Alt Table

Status	Error	Program
	43.3b	(-.f64 (/.f64 (-.f64 1 (+.f64 (/.f64 x (.f64 F F)) (/.f64 1 (.f64 F F)))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	38.5b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B)))
	43.7b	(-.f64 (/.f64 (+.f64 -1 (+.f64 (/.f64 x (.f64 F F)) (/.f64 1 (.f64 F F)))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
✓	11.3b	(-.f64 (/.f64 (.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	32.7b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)) (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (tan.f64 B))))
	35.9b	(-.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)))
	14.3b	(+.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)) (.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)))
▶	11.3b	(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2))) (/.f64 x (tan.f64 B)))
	40.6b	(-.f64 (.f64 (/.f64 (.f64 (cbrt.f64 F) (cbrt.f64 F)) (sqrt.f64 (sin.f64 B))) (.f64 (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2) (/.f64 (cbrt.f64 F) (sqrt.f64 (sin.f64 B))))) (/.f64 x (tan.f64 B)))

Compiler

Compiled 2868 to 1682 computations (41.4% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 x (tan.f64 B))
0.3b	(/.f64 F (/.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2)))
0.4b	(/.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2))
16.9b	(pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2)

rewrite392.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

189×	`times-frac_binary64`
112×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
51×	`unpow-prod-down_binary64`
35×	`associate-/r*_binary64`
22×	`add-exp-log_binary64`

Counts

4 → 210

Calls

4 calls:

13.0ms	(/.f64 F (/.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2)))
11.0ms	(/.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2))
6.0ms	(pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2)
3.0ms	(/.f64 x (tan.f64 B))

Compiler

Compiled 7689 to 4026 computations (47.6% saved)

series327.0ms (2.7%)

Error

0.0b

Counts

4 → 56

Calls

4 calls:

91.0ms	(/.f64 F (/.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2)))
81.0ms	(/.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2))
44.0ms	(pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2)
42.0ms	(/.f64 x (tan.f64 B))

Compiler

Compiled 4623 to 3181 computations (31.2% saved)

simplify353.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

437×	`cancel-sign-sub-inv_binary64`
282×	`associate-/r/_binary64`
255×	`*-commutative_binary64`
226×	`sub-neg_binary64`
221×	`associate-r_binary64`

Counts

266 → 227

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	518	9837
1	1151	9443
2	3732	9323
3	4529	9293
4	4960	9293
5	4947	9293

prune263.0ms (2.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	226	1	227
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	228	9	237

Error

0.0b

Counts

237 → 9

Alt Table

Status	Error	Program
▶	11.3b	(-.f64 (/.f64 F (.f64 (sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F)))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	43.3b	(-.f64 (/.f64 (-.f64 1 (+.f64 (/.f64 x (.f64 F F)) (/.f64 1 (.f64 F F)))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	38.5b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B)))
	43.7b	(-.f64 (/.f64 (+.f64 -1 (+.f64 (/.f64 x (.f64 F F)) (/.f64 1 (.f64 F F)))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
✓	11.3b	(-.f64 (/.f64 (.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	32.7b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)) (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (tan.f64 B))))
	35.9b	(-.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)))
	14.3b	(+.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)))))
✓	11.3b	(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2))) (/.f64 x (tan.f64 B)))

Compiler

Compiled 6759 to 3576 computations (47.1% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 x (tan.f64 B))
0.3b	(/.f64 F (.f64 (sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F)))) (sin.f64 B)))
0.3b	(.f64 (sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F)))) (sin.f64 B))
16.8b	(sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))))

rewrite157.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-sqr-sqrt_binary64`
18×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`times-frac_binary64`
7×	`pow1_binary64` `sqrt-prod_binary64`

Counts

4 → 90

Calls

4 calls:

10.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F)))) (sin.f64 B))
10.0ms	(/.f64 F (.f64 (sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F)))) (sin.f64 B)))
5.0ms	(sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))))
5.0ms	(/.f64 x (tan.f64 B))

Compiler

Compiled 2520 to 1268 computations (49.7% saved)

series317.0ms (2.6%)

Error

0.0b

Counts

4 → 59

Calls

4 calls:

94.0ms	(/.f64 F (.f64 (sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F)))) (sin.f64 B)))
79.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F)))) (sin.f64 B))
42.0ms	(sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))))
41.0ms	(/.f64 x (tan.f64 B))

Compiler

Compiled 4628 to 3136 computations (32.2% saved)

simplify177.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

867×	`times-frac_binary64`
467×	`cancel-sign-sub-inv_binary64`
215×	`sub-neg_binary64`
202×	`neg-mul-1_binary64`
195×	`distribute-rgt-neg-in_binary64`

Counts

149 → 104

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	334	3895
1	829	3596
2	2584	3596
3	4775	3596
4	4999	3596
5	4945	3596

prune139.0ms (1.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	104	9	113

Error

0.0b

Counts

113 → 9

Alt Table

Status	Error	Program
	35.3b	(-.f64 (/.f64 F (.f64 (sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F)))) (sin.f64 B))) (cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3)))
	11.3b	(-.f64 (/.f64 F (.f64 (sqrt.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F)))) (sin.f64 B))) (/.f64 x (tan.f64 B)))
	43.3b	(-.f64 (/.f64 (-.f64 1 (+.f64 (/.f64 x (.f64 F F)) (/.f64 1 (.f64 F F)))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	38.5b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B)))
	43.7b	(-.f64 (/.f64 (+.f64 -1 (+.f64 (/.f64 x (.f64 F F)) (/.f64 1 (.f64 F F)))) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	11.3b	(-.f64 (/.f64 (.f64 F (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	32.7b	(-.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)) (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (tan.f64 B))))
	14.3b	(+.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)))))
	11.3b	(-.f64 (/.f64 F (/.f64 (sin.f64 B) (pow.f64 (+.f64 (.f64 F F) (+.f64 2 (.f64 2 x))) -1/2))) (/.f64 x (tan.f64 B)))

Compiler

Compiled 2956 to 1595 computations (46% saved)

regimes2.7s (22.7%)

Accuracy

Total 0.1b remaining (65.1%)

Threshold costs 0.1b (65.1%)

Compiler

Compiled 29028 to 19828 computations (31.7% saved)

bsearch79.0ms (0.7%)

Steps

Iters	Range		Point
7	429.2220818509868	16285.393831892856	16115.431772468397
1	-2.7141158129415777e+42	-1.3528167599587937e+38	-1.9260042158039318e+40

Compiler

Compiled 4 to 3 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
9×	`sub-neg_binary64`
8×	`*-commutative_binary64`
5×	`neg-mul-1_binary64` `neg-sub0_binary64`
3×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	100
1	50	100
2	64	100
3	79	100
4	87	100
5	90	100
6	88	100

end2.0ms (0%)

Compiler: Compiled 68 to 40 computations (41.2% saved)

sample3.2s (26.3%)

Algorithm

1×

intervals

Results

1.3s	2210×	body	1024	valid
546.0ms	4078×	body	128	valid
445.0ms	1120×	body	512	valid
152.0ms	588×	body	256	valid
86.0ms	668×	body	128	invalid
13.0ms	129×	body	128	nan
4.0ms	4×	body	2048	valid
1.0ms	1×	body	1024	invalid

Compiler

Compiled 321 to 219 computations (31.8% saved)

Details

analyze1.9s (16%)

sample94.0ms (0.8%)

simplify234.0ms (1.9%)

prune17.0ms (0.1%)

localize19.0ms (0.2%)

rewrite225.0ms (1.9%)

series287.0ms (2.4%)

simplify181.0ms (1.5%)

prune141.0ms (1.2%)

localize16.0ms (0.1%)

rewrite177.0ms (1.5%)

series291.0ms (2.4%)

simplify168.0ms (1.4%)

prune139.0ms (1.2%)

localize16.0ms (0.1%)

rewrite392.0ms (3.2%)

series327.0ms (2.7%)

simplify353.0ms (2.9%)

prune263.0ms (2.2%)

localize17.0ms (0.1%)

rewrite157.0ms (1.3%)

series317.0ms (2.6%)

simplify177.0ms (1.5%)

prune139.0ms (1.1%)

regimes2.7s (22.7%)

bsearch79.0ms (0.7%)

simplify6.0ms (0.1%)

end2.0ms (0%)

sample3.2s (26.3%)

Profiling