Details

analyze1.3s (12.7%)

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
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
26.5%	72.9%	0.5%	9
38.2%	60.7%	1.1%	10
41.7%	54.9%	3.4%	11
47.6%	47.4%	5%	12
53.4%	39.4%	7.2%	13
54.9%	34.5%	10.6%	14

Compiler

Compiled 20 to 15 computations (25% saved)

sample3.0s (30%)

Symmetry

(sort c s)

Results

1.1s	6375×	body	128	valid
656.0ms	954×	body	1024	valid
369.0ms	1949×	body	128	invalid
305.0ms	620×	body	512	valid
151.0ms	220×	body	1024	invalid
99.0ms	303×	body	256	valid
97.0ms	225×	body	512	invalid
53.0ms	169×	body	256	invalid
4.0ms	4×	body	2048	valid

Compiler

Compiled 59 to 44 computations (25.4% saved)

simplify108.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

750×	`unswap-sqr_binary64`
704×	`sqr-pow_binary64`
582×	`*-commutative_binary64`
574×	`fabs-mul_binary64`
502×	`cube-prod_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	24
1	29	24
2	68	24
3	214	24
4	833	24
5	1367	24
6	2084	24
7	2149	24
8	2230	24
9	2331	24
10	2464	24
11	2501	24
12	2580	24
13	2853	24
14	3277	24
15	3804	24
16	4518	24
17	4911	24

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

29.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	29.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))

Compiler

Compiled 73 to 51 computations (30.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
✓	3.8b	(.f64 (.f64 x (pow.f64 s 2)) x)
✓	9.4b	(*.f64 x (pow.f64 s 2))
✓	19.1b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

series178.0ms (1.8%)

Counts

4 → 120

Calls

4 calls:

124.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
36.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
11.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
7.0ms	(*.f64 x (pow.f64 s 2))

rewrite95.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

301×	`prod-diff_binary64`
240×	`expm1-udef_binary64`
240×	`log1p-udef_binary64`
221×	`log-pow_binary64`
135×	`add-sqr-sqrt_binary64`

Counts

4 → 93

Calls

4 calls:

93.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
93.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
93.0ms	(*.f64 x (pow.f64 s 2))
93.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	275	57
2	3342	57
3	4862	57
4	5046	57

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

877×	`associate-/l*_binary64`
439×	`associate-/l/_binary64`
361×	`cancel-sign-sub-inv_binary64`
359×	`unswap-sqr_binary64`
272×	`fma-neg_binary64`

Counts

213 → 111

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	1932
1	96	1930
2	310	1930
3	1464	1925
4	4903	1923
5	4968	1923

prune125.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	102	9	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	9	112

Error

15.9b

Counts

112 → 9

Alt Table

Status	Error	Program
	36.2b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) (.f64 c (.f64 (sqrt.f64 x) (.f64 s (sqrt.f64 x))))) (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (.f64 c (.f64 (sqrt.f64 x) (*.f64 s (sqrt.f64 x))))))
	29.8b	(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (.f64 c c) (.f64 x (.f64 x (.f64 s s))))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 c c) (.f64 x (.f64 x (.f64 s s))))))
▶	27.6b	(.f64 (/.f64 1 (.f64 (.f64 c c) (.f64 x (*.f64 s s)))) (/.f64 (cos.f64 (+.f64 x x)) x))
	44.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (pow.f64 (.f64 s (sqrt.f64 x)) 2) x)))
	43.1b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (pow.f64 (.f64 (sqrt.f64 x) (.f64 s (sqrt.f64 x))) 2)))
	29.9b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (.f64 c c) (.f64 x (.f64 x (.f64 s s))))) 2)) (/.f64 (cos.f64 (+.f64 x x)) (cbrt.f64 (.f64 (.f64 c c) (.f64 x (.f64 x (*.f64 s s)))))))
	36.1b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (.f64 (sqrt.f64 x) (.f64 s (sqrt.f64 x)))) 2))
	29.7b	(.f64 (/.f64 1 (.f64 c c)) (/.f64 (cos.f64 (+.f64 x x)) (.f64 x (.f64 x (*.f64 s s)))))
	32.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))

Compiler

Compiled 2814 to 1125 computations (60% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 1 (.f64 (.f64 c c) (.f64 x (.f64 s s))))
✓	6.1b	(.f64 (/.f64 1 (.f64 (.f64 c c) (.f64 x (*.f64 s s)))) (/.f64 (cos.f64 (+.f64 x x)) x))
✓	9.4b	(.f64 x (.f64 s s))
✓	17.8b	(.f64 (.f64 c c) (.f64 x (.f64 s s)))

series259.0ms (2.6%)

Counts

4 → 132

Calls

4 calls:

124.0ms	(.f64 (/.f64 1 (.f64 (.f64 c c) (.f64 x (*.f64 s s)))) (/.f64 (cos.f64 (+.f64 x x)) x))
101.0ms	(/.f64 1 (.f64 (.f64 c c) (.f64 x (.f64 s s))))
26.0ms	(.f64 (.f64 c c) (.f64 x (.f64 s s)))
7.0ms	(.f64 x (.f64 s s))

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`prod-diff_binary64`
153×	`add-sqr-sqrt_binary64`
143×	`log1p-expm1-u_binary64`
143×	`expm1-log1p-u_binary64`
142×	`add-cbrt-cube_binary64`

Counts

4 → 133

Calls

4 calls:

82.0ms	(/.f64 1 (.f64 (.f64 c c) (.f64 x (.f64 s s))))
82.0ms	(.f64 (/.f64 1 (.f64 (.f64 c c) (.f64 x (*.f64 s s)))) (/.f64 (cos.f64 (+.f64 x x)) x))
82.0ms	(.f64 x (.f64 s s))
82.0ms	(.f64 (.f64 c c) (.f64 x (.f64 s s)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	306	55
2	3944	55
3	4898	55

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

877×	`associate-/l*_binary64`
468×	`associate-/l/_binary64`
406×	`unswap-sqr_binary64`
361×	`cancel-sign-sub-inv_binary64`
271×	`fma-def_binary64`

Counts

265 → 152

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	2160
1	106	2158
2	337	2158
3	1524	2153
4	5017	2153

prune273.0ms (2.7%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	139	13	152
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	145	16	161

Error

10.4b

Counts

161 → 16

Alt Table

Status	Error	Program
	36.2b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) (.f64 c (.f64 (sqrt.f64 x) (.f64 s (sqrt.f64 x))))) (/.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) (.f64 c (.f64 (sqrt.f64 x) (*.f64 s (sqrt.f64 x))))))
	45.6b	(.f64 (/.f64 1 (pow.f64 (pow.f64 (pow.f64 (.f64 c (*.f64 s (sqrt.f64 x))) 2) 3) 1/3)) (/.f64 (cos.f64 (+.f64 x x)) x))
	37.0b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (pow.f64 (cbrt.f64 (pow.f64 (.f64 c (.f64 s (sqrt.f64 x))) 2)) 2)) (cbrt.f64 (pow.f64 (.f64 c (.f64 s (sqrt.f64 x))) 2)))
	44.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (pow.f64 (.f64 s (sqrt.f64 x)) 2) x)))
	27.6b	(.f64 (/.f64 1 (/.f64 1 (/.f64 (pow.f64 c -2) (.f64 x (*.f64 s s))))) (/.f64 (cos.f64 (+.f64 x x)) x))
	36.7b	(.f64 (pow.f64 (/.f64 1 (.f64 c (*.f64 s (sqrt.f64 x)))) 2) (/.f64 (cos.f64 (+.f64 x x)) x))
▶	21.0b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (.f64 c (.f64 x (*.f64 s s))))
	34.5b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (.f64 c (.f64 s (sqrt.f64 x)))) (.f64 c (.f64 s (sqrt.f64 x))))
	23.7b	(.f64 (/.f64 1 (/.f64 c (/.f64 1 (.f64 c (.f64 x (.f64 s s)))))) (/.f64 (cos.f64 (+.f64 x x)) x))
	37.0b	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (pow.f64 (.f64 c (.f64 s (sqrt.f64 x))) 2))) 3)
	27.5b	(.f64 (/.f64 1 (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) x))) (/.f64 (cos.f64 (+.f64 x x)) x))
	36.9b	(/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x x))) 2) (/.f64 (.f64 x (pow.f64 (.f64 c (*.f64 s (sqrt.f64 x))) 2)) (cbrt.f64 (cos.f64 (+.f64 x x)))))
	50.7b	(+.f64 (-.f64 (/.f64 1 (.f64 (.f64 c c) (.f64 (.f64 s s) (.f64 x x)))) (/.f64 2 (.f64 (.f64 s s) (.f64 c c)))) (.f64 (/.f64 (/.f64 (.f64 x x) (.f64 c c)) s) (-.f64 (/.f64 2/3 s) (/.f64 (.f64 (*.f64 x x) 4/45) s))))
	32.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
	36.9b	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s (sqrt.f64 x))) 2)) x)
	29.7b	(/.f64 (pow.f64 c -2) (.f64 (/.f64 x (cos.f64 (+.f64 x x))) (.f64 x (*.f64 s s))))

Compiler

Compiled 3810 to 1575 computations (58.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c)
✓	6.3b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (.f64 c (.f64 x (*.f64 s s))))
✓	8.4b	(.f64 c (.f64 x (*.f64 s s)))
	9.4b	(.f64 x (.f64 s s))

series163.0ms (1.6%)

Counts

3 → 96

Calls

3 calls:

127.0ms	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (.f64 c (.f64 x (*.f64 s s))))
18.0ms	(.f64 c (.f64 x (*.f64 s s)))
17.0ms	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c)

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`prod-diff_binary64`
144×	`add-sqr-sqrt_binary64`
135×	`log1p-expm1-u_binary64`
135×	`expm1-log1p-u_binary64`
134×	`add-log-exp_binary64`

Counts

3 → 112

Calls

3 calls:

80.0ms	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c)
80.0ms	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (.f64 c (.f64 x (*.f64 s s))))
80.0ms	(.f64 c (.f64 x (*.f64 s s)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	276	46
2	4033	46
3	5107	46

simplify150.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

477×	`associate-/l/_binary64`
474×	`cancel-sign-sub-inv_binary64`
402×	`fma-neg_binary64`
393×	`fma-def_binary64`
384×	`unswap-sqr_binary64`

Counts

208 → 134

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	57	1633
1	162	1631
2	459	1627
3	1862	1620
4	4674	1618
5	5056	1618

prune833.0ms (8.2%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	142	10	152
Fresh	4	11	15
Picked	1	0	1
Done	0	0	0
Total	147	21	168

Error

2.3b

Counts

168 → 21

Alt Table

Status	Error	Program
	37.0b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (pow.f64 (cbrt.f64 (pow.f64 (.f64 c (.f64 s (sqrt.f64 x))) 2)) 2)) (cbrt.f64 (pow.f64 (.f64 c (.f64 s (sqrt.f64 x))) 2)))
	44.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (pow.f64 (.f64 s (sqrt.f64 x)) 2) x)))
	19.7b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c)) 2) (.f64 c x)) (/.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c)) (*.f64 s s)))
	30.9b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c)) 2) (.f64 (sqrt.f64 (.f64 c x)) s)) (/.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c)) (.f64 (sqrt.f64 (*.f64 c x)) s)))
	21.0b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c (.f64 x (.f64 s s)))) (/.f64 (/.f64 1 x) c))
	30.7b	(.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 c x)) s)) (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (.f64 (sqrt.f64 (*.f64 c x)) s)))
	36.7b	(.f64 (pow.f64 (/.f64 1 (.f64 c (*.f64 s (sqrt.f64 x)))) 2) (/.f64 (cos.f64 (+.f64 x x)) x))
	22.7b	(.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (.f64 c x)) (/.f64 (/.f64 1 c) (*.f64 s s)))
	34.5b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (.f64 c (.f64 s (sqrt.f64 x)))) (.f64 c (.f64 s (sqrt.f64 x))))
	50.7b	(+.f64 (-.f64 (/.f64 1 (.f64 (.f64 c c) (.f64 (.f64 s s) (.f64 x x)))) (/.f64 2 (.f64 (.f64 s s) (.f64 c c)))) (.f64 (/.f64 (/.f64 (.f64 x x) (.f64 c c)) s) (-.f64 (/.f64 2/3 s) (/.f64 (.f64 (*.f64 x x) 4/45) s))))
	33.6b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (pow.f64 (.f64 (sqrt.f64 (.f64 c x)) s) 2))
	37.0b	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (pow.f64 (.f64 c (.f64 s (sqrt.f64 x))) 2))) 3)
	27.5b	(.f64 (/.f64 1 (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) x))) (/.f64 (cos.f64 (+.f64 x x)) x))
▶	17.4b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (.f64 (pow.f64 s 2) (.f64 c x)))
	39.5b	(pow.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c)) (.f64 (sqrt.f64 (.f64 c x)) s)) 2)
	45.6b	(.f64 (/.f64 1 (pow.f64 (pow.f64 (pow.f64 (.f64 c (*.f64 s (sqrt.f64 x))) 2) 3) 1/3)) (/.f64 (cos.f64 (+.f64 x x)) x))
	33.9b	(.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (.f64 (sqrt.f64 (.f64 c x)) s)) (/.f64 (/.f64 1 c) (.f64 (sqrt.f64 (*.f64 c x)) s)))
	32.3b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
	20.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c x) (.f64 c x))))
	36.9b	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s (sqrt.f64 x))) 2)) x)
	29.7b	(/.f64 (pow.f64 c -2) (.f64 (/.f64 x (cos.f64 (+.f64 x x))) (.f64 x (*.f64 s s))))

Compiler

Compiled 4372 to 1431 computations (67.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (cos.f64 (+.f64 x x)) x)
	0.2b	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c)
✓	6.3b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (.f64 (pow.f64 s 2) (.f64 c x)))
✓	13.2b	(.f64 (pow.f64 s 2) (.f64 c x))

series150.0ms (1.5%)

Counts

3 → 64

Calls

3 calls:

126.0ms	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (.f64 (pow.f64 s 2) (.f64 c x)))
21.0ms	(.f64 (pow.f64 s 2) (.f64 c x))
3.0ms	(/.f64 (cos.f64 (+.f64 x x)) x)

rewrite84.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`prod-diff_binary64`
151×	`add-sqr-sqrt_binary64`
143×	`log1p-expm1-u_binary64`
143×	`expm1-log1p-u_binary64`
141×	`add-log-exp_binary64`

Counts

3 → 106

Calls

3 calls:

81.0ms	(/.f64 (cos.f64 (+.f64 x x)) x)
81.0ms	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (.f64 (pow.f64 s 2) (.f64 c x)))
81.0ms	(.f64 (pow.f64 s 2) (.f64 c x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	297	43
2	4169	43
3	5265	43

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

475×	`associate-*l/_binary64`
441×	`associate-/l/_binary64`
441×	`cancel-sign-sub-inv_binary64`
436×	`fma-def_binary64`
385×	`unswap-sqr_binary64`

Counts

170 → 127

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	1239
1	142	1233
2	425	1229
3	1789	1222
4	5021	1222

prune233.0ms (2.3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	172	5	177
Fresh	6	14	20
Picked	1	0	1
Done	0	0	0
Total	179	19	198

Error

2.2b

Counts

198 → 19

Alt Table

Status	Error	Program
	45.6b	(.f64 (/.f64 1 (pow.f64 (pow.f64 (pow.f64 (.f64 c (*.f64 s (sqrt.f64 x))) 2) 3) 1/3)) (/.f64 (cos.f64 (+.f64 x x)) x))
	30.9b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c x))) 2) (.f64 s (sqrt.f64 (.f64 c x)))) (/.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c x))) (.f64 s (sqrt.f64 (*.f64 c x)))))
	37.0b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (pow.f64 (cbrt.f64 (pow.f64 (.f64 c (.f64 s (sqrt.f64 x))) 2)) 2)) (cbrt.f64 (pow.f64 (.f64 c (.f64 s (sqrt.f64 x))) 2)))
	44.8b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (pow.f64 (.f64 s (sqrt.f64 x)) 2) x)))
	30.7b	(.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 c x)) s)) (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (.f64 (sqrt.f64 (*.f64 c x)) s)))
	36.7b	(.f64 (pow.f64 (/.f64 1 (.f64 c (*.f64 s (sqrt.f64 x)))) 2) (/.f64 (cos.f64 (+.f64 x x)) x))
	33.9b	(.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (.f64 (sqrt.f64 (.f64 c x)) s)) (/.f64 (/.f64 1 c) (.f64 (sqrt.f64 (*.f64 c x)) s)))
	17.7b	(/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c)) 3) (.f64 (pow.f64 s 2) (.f64 c x)))
	17.4b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c x)) (/.f64 1 (.f64 (.f64 s s) (*.f64 c x))))
	50.7b	(+.f64 (-.f64 (/.f64 1 (.f64 (.f64 c c) (.f64 (.f64 s s) (.f64 x x)))) (/.f64 2 (.f64 (.f64 s s) (.f64 c c)))) (.f64 (/.f64 (/.f64 (.f64 x x) (.f64 c c)) s) (-.f64 (/.f64 2/3 s) (/.f64 (.f64 (*.f64 x x) 4/45) s))))
	33.6b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (pow.f64 (.f64 (sqrt.f64 (.f64 c x)) s) 2))
	29.7b	(/.f64 (pow.f64 c -2) (.f64 (/.f64 x (cos.f64 (+.f64 x x))) (.f64 x (*.f64 s s))))
	38.7b	(pow.f64 (/.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c x))) (.f64 s (sqrt.f64 (*.f64 c x)))) 2)
	37.0b	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (pow.f64 (.f64 c (.f64 s (sqrt.f64 x))) 2))) 3)
	27.5b	(.f64 (/.f64 1 (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) x))) (/.f64 (cos.f64 (+.f64 x x)) x))
	17.4b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 s s) (.f64 c x))) (/.f64 (/.f64 1 c) x))
	34.5b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (.f64 c (.f64 s (sqrt.f64 x)))) (.f64 c (.f64 s (sqrt.f64 x))))
	20.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c x) (.f64 c x))))
	36.9b	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s (sqrt.f64 x))) 2)) x)

Compiler

Compiled 4396 to 1560 computations (64.5% saved)

regimes2.0s (20.1%)

Accuracy

Total 6.3b remaining (68.2%)

Threshold costs 0b (0%)

Counts

183 → 4

Compiler

Compiled 26385 to 16240 computations (38.4% saved)

bsearch217.0ms (2.1%)

Steps

Iters

Range

Point

-2.977699195192384e-272

7.316065365934186e-304

-1.16732965885438e-309

-3.590363291550571e+78

-4.0714123677943966e+76

-4.4043110447982947e+77

-6.23966492585907e+166

-8.089609567154582e+161

-1.0834493324636061e+166

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	150
1	47	150
2	46	150

end487.0ms (4.8%)

Compiler: Compiled 865 to 431 computations (50.2% saved)

Details

analyze1.3s (12.7%)

sample3.0s (30%)

simplify108.0ms (1.1%)

prune2.0ms (0%)

localize10.0ms (0.1%)

series178.0ms (1.8%)

rewrite95.0ms (0.9%)

simplify76.0ms (0.7%)

prune125.0ms (1.2%)

localize11.0ms (0.1%)

series259.0ms (2.6%)

rewrite85.0ms (0.8%)

simplify62.0ms (0.6%)

prune273.0ms (2.7%)

localize11.0ms (0.1%)

series163.0ms (1.6%)

rewrite83.0ms (0.8%)

simplify150.0ms (1.5%)

prune833.0ms (8.2%)

localize11.0ms (0.1%)

series150.0ms (1.5%)

rewrite84.0ms (0.8%)

simplify50.0ms (0.5%)

prune233.0ms (2.3%)

regimes2.0s (20.1%)

bsearch217.0ms (2.1%)

simplify4.0ms (0%)

end487.0ms (4.8%)

Profiling