Details

analyze1.8s (14.6%)

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)

sample103.0ms (0.8%)

Algorithm

1×

intervals

Results

45.0ms	81×	body	1024	valid
21.0ms	123×	body	128	valid
11.0ms	31×	body	512	valid
5.0ms	20×	body	256	valid
3.0ms	21×	body	128	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 64 to 50 computations (21.9% saved)

simplify228.0ms (1.8%)

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

11.8b

Counts

2 → 2

Alt Table

Status	Error	Program
▶	11.8b	(-.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)))
	11.9b	(+.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

▶

11.8b

(-.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)))

11.9b

(+.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 x (tan.f64 B))
0.2b	(/.f64 F (sin.f64 B))
4.1b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2))
15.7b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)

rewrite228.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

10.1b

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:

20.0ms	(.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 F (sin.f64 B))
3.0ms	(/.f64 x (tan.f64 B))

Compiler

Compiled 3321 to 1540 computations (53.6% saved)

series293.0ms (2.3%)

Error

0.1b

Counts

4 → 45

Calls

4 calls:

94.0ms	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 x 2)) -1/2))
77.0ms	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)
44.0ms	(/.f64 x (tan.f64 B))
25.0ms	(/.f64 F (sin.f64 B))

Compiler

Compiled 3965 to 2782 computations (29.8% saved)

simplify250.0ms (2%)

Algorithm

1×	egg-herbie

Rules

335×	`associate-/r/_binary64`
260×	`associate-/l/_binary64`
235×	`cancel-sign-sub-inv_binary64`
184×	`sub-neg_binary64`
148×	`associate-r_binary64`

Counts

160 → 101

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	358	3902
1	880	3649
2	2762	3556
3	4699	3514
4	4918	3514
5	4992	3514
6	4995	3514
7	4916	3514

prune138.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	92	9	101
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	93	10	103

Error

0.0b

Counts

103 → 10

Alt Table

Status	Error	Program
	12.1b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2))) (cbrt.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)))) (cbrt.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2)))) (/.f64 x (tan.f64 B)))
	11.8b	(-.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)))
	39.1b	(-.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)))
	32.1b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B)))
▶	11.8b	(-.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)))
	29.8b	(-.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))))
	40.2b	(-.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)))
	12.4b	(-.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))))
	31.3b	(-.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)))
	11.9b	(+.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 3138 to 1664 computations (47% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.9b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/4))
2.4b	(.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)))
15.7b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)
16.1b	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)

rewrite275.0ms (2.2%)

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))
8.0ms	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)
7.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)

Compiler

Compiled 4707 to 2650 computations (43.7% saved)

series499.0ms (4%)

Error

0.0b

Counts

4 → 58

Calls

4 calls:

150.0ms	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/4))
118.0ms	(.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)))
69.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)
62.0ms	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 x 2)) -1/2)

Compiler

Compiled 8011 to 5801 computations (27.6% saved)

simplify172.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

315×	`associate-l_binary64` `associate-r_binary64`
238×	`associate-/l*_binary64`
201×	`associate-*l/_binary64`
192×	`times-frac_binary64`
191×	`associate-*r/_binary64`

Counts

166 → 153

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	529	6572
1	1444	5960
2	4946	5960
3	4953	5960

prune256.0ms (2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	153	10	163

Error

0.0b

Counts

163 → 10

Alt Table

Status	Error	Program
	12.1b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2))) (cbrt.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)))) (cbrt.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2)))) (/.f64 x (tan.f64 B)))
▶	11.8b	(-.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)))
	39.1b	(-.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)))
	32.1b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B)))
✓	11.8b	(-.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)))
	29.8b	(-.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))))
	40.2b	(-.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)))
	12.4b	(-.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))))
	31.3b	(-.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)))
	11.9b	(+.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 6236 to 3611 computations (42.1% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(.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))
4.1b	(.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)))
16.1b	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)
16.1b	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)

rewrite304.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

74×	`add-exp-log_binary64`
47×	`prod-exp_binary64`
38×	`add-sqr-sqrt_binary64`
24×	`unpow-prod-down_binary64`
23×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`

Counts

4 → 136

Calls

4 calls:

21.0ms	(.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)))
16.0ms	(.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))
6.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)
6.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)

Compiler

Compiled 5340 to 3015 computations (43.5% saved)

series351.0ms (2.8%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

95.0ms	(.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)))
67.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)
66.0ms	(pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/4)
44.0ms	(.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))

Compiler

Compiled 6185 to 4510 computations (27.1% saved)

simplify234.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

582×	`times-frac_binary64`
297×	`associate-r_binary64`
237×	`sub-neg_binary64`
175×	`*-commutative_binary64`
174×	`associate-l_binary64`

Counts

190 → 169

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	368	6276
1	923	5642
2	3183	5557
3	4664	5477
4	4899	5477
5	4910	5477

prune207.0ms (1.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	169	10	179

Error

0.0b

Counts

179 → 10

Alt Table

Status	Error	Program
	12.1b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2))) (cbrt.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)))) (cbrt.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2)))) (/.f64 x (tan.f64 B)))
✓	11.8b	(-.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)))
	39.1b	(-.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)))
	32.1b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B)))
✓	11.8b	(-.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)))
	29.8b	(-.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))))
	40.2b	(-.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)))
	12.4b	(-.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))))
	31.3b	(-.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)))
▶	11.9b	(+.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 4923 to 2800 computations (43.1% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 F (sin.f64 B))
0.2b	(*.f64 x (/.f64 1 (tan.f64 B)))
4.1b	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
15.7b	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))

rewrite306.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

65×	`add-sqr-sqrt_binary64`
50×	`times-frac_binary64`
46×	`*-un-lft-identity_binary64`
45×	`add-cube-cbrt_binary64`
30×	`pow-unpow_binary64`

Counts

4 → 158

Calls

4 calls:

14.0ms	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
10.0ms	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))
8.0ms	(*.f64 x (/.f64 1 (tan.f64 B)))
3.0ms	(/.f64 F (sin.f64 B))

Compiler

Compiled 5402 to 3293 computations (39% saved)

series281.0ms (2.2%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

94.0ms	(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))
64.0ms	(pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))
41.0ms	(*.f64 x (/.f64 1 (tan.f64 B)))
24.0ms	(/.f64 F (sin.f64 B))

Compiler

Compiled 4338 to 3182 computations (26.6% saved)

simplify202.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

267×	`cancel-sign-sub-inv_binary64`
251×	`neg-mul-1_binary64`
214×	`associate-r_binary64`
205×	`associate-l_binary64`
190×	`sub-neg_binary64`

Counts

203 → 157

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	390	4538
1	975	4245
2	3190	4153
3	4584	4113
4	4982	4113
5	4937	4113

prune215.0ms (1.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	155	2	157
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	156	11	167

Error

0.0b

Counts

167 → 11

Alt Table

Status	Error	Program
	12.1b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2))) (cbrt.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (.f64 F F))) -1/2)))) (cbrt.f64 (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (.f64 2 x) (+.f64 2 (*.f64 F F))) -1/2)))) (/.f64 x (tan.f64 B)))
	11.8b	(-.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)))
	39.1b	(-.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)))
	32.1b	(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (/.f64 1 F)) (/.f64 x (tan.f64 B)))
	12.3b	(+.f64 (neg.f64 (.f64 (.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) (cbrt.f64 (/.f64 x (tan.f64 B)))) (cbrt.f64 (/.f64 x (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)))))
	11.8b	(+.f64 (neg.f64 (.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) 2) (.f64 2 x)) (neg.f64 (/.f64 1 2)))))
	11.8b	(-.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)))
	29.8b	(-.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))))
	40.2b	(-.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)))
	31.3b	(-.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)))
	11.9b	(+.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 4424 to 2606 computations (41.1% saved)

regimes2.7s (22%)

Accuracy

Total 0.2b remaining (77%)

Threshold costs 0.2b (77%)

Compiler

Compiled 40340 to 28508 computations (29.3% saved)

bsearch129.0ms (1%)

Steps

Iters	Range		Point
9	3.4989021497900414	2100693.7233351157	2079208.570211153
6	-3.7946475107661454e+117	-7.6938288635597675e+115	-4.62881705503341e+116

Compiler

Compiled 4 to 3 computations (25% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
11×	`*-commutative_binary64`
10×	`sub-neg_binary64`
7×	`neg-mul-1_binary64` `neg-sub0_binary64`
4×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	105
1	59	103
2	82	103
3	99	103
4	107	103
5	109	103
6	107	103

end2.0ms (0%)

Compiler: Compiled 70 to 38 computations (45.7% saved)

sample3.1s (25.1%)

Algorithm

1×

intervals

Results

1.3s	2294×	body	1024	valid
523.0ms	4102×	body	128	valid
411.0ms	1104×	body	512	valid
124.0ms	495×	body	256	valid
79.0ms	657×	body	128	invalid
10.0ms	106×	body	128	nan
5.0ms	5×	body	2048	valid
1.0ms	1×	body	1024	invalid

Compiler

Compiled 471 to 305 computations (35.2% saved)

Details

analyze1.8s (14.6%)

sample103.0ms (0.8%)

simplify228.0ms (1.8%)

prune10.0ms (0.1%)

localize19.0ms (0.2%)

rewrite228.0ms (1.8%)

series293.0ms (2.3%)

simplify250.0ms (2%)

prune138.0ms (1.1%)

localize30.0ms (0.2%)

rewrite275.0ms (2.2%)

series499.0ms (4%)

simplify172.0ms (1.4%)

prune256.0ms (2%)

localize19.0ms (0.2%)

rewrite304.0ms (2.4%)

series351.0ms (2.8%)

simplify234.0ms (1.9%)

prune207.0ms (1.7%)

localize23.0ms (0.2%)

rewrite306.0ms (2.4%)

series281.0ms (2.2%)

simplify202.0ms (1.6%)

prune215.0ms (1.7%)

regimes2.7s (22%)

bsearch129.0ms (1%)

simplify7.0ms (0.1%)

end2.0ms (0%)

sample3.1s (25.1%)

Profiling