Details

analyze2.0s (20.3%)

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)

sample3.1s (31%)

Symmetry

(sort c s)

Results

1.1s	6274×	body	128	valid
721.0ms	988×	body	1024	valid
349.0ms	1933×	body	128	invalid
288.0ms	643×	body	512	valid
139.0ms	201×	body	1024	invalid
115.0ms	348×	body	256	valid
106.0ms	231×	body	512	invalid
53.0ms	163×	body	256	invalid
4.0ms	3×	body	2048	valid

Compiler

Compiled 59 to 44 computations (25.4% saved)

simplify110.0ms (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

prune3.0ms (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

28.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	28.3b	(/.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)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
✓	3.4b	(.f64 (.f64 x (pow.f64 s 2)) x)
✓	8.6b	(*.f64 x (pow.f64 s 2))
✓	19.1b	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))

series220.0ms (2.2%)

Counts

4 → 120

Calls

4 calls:

160.0ms	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (.f64 x (pow.f64 s 2)) x)))
40.0ms	(.f64 (pow.f64 c 2) (.f64 (*.f64 x (pow.f64 s 2)) x))
11.0ms	(.f64 (.f64 x (pow.f64 s 2)) x)
9.0ms	(*.f64 x (pow.f64 s 2))

rewrite108.0ms (1.1%)

Algorithm

2×	batch-egg-rewrite

Rules

89× egg-rr

Counts

4 → 89

Calls

2 calls:

105.0ms

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

0.0ms

()

Iterations

Useful iterations: 0 (0.0ms)

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

simplify76.0ms (0.8%)

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

209 → 107

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

prune142.0ms (1.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	94	13	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	13	108

Error

15.9b

Counts

108 → 13

Alt Table

Status	Error	Program
	43.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (pow.f64 (.f64 s (sqrt.f64 x)) 2) x)))
	33.3b	(cbrt.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) (pow.f64 (.f64 (.f64 c c) (.f64 x (.f64 x (*.f64 s s)))) 3)))
▶	26.9b	(.f64 (/.f64 1 (.f64 (.f64 c c) (.f64 x (*.f64 s s)))) (/.f64 (cos.f64 (+.f64 x x)) x))
	28.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (pow.f64 (cbrt.f64 (.f64 x (*.f64 s s))) 3) x)))
	28.3b	(pow.f64 (/.f64 (.f64 (.f64 c c) (.f64 x (.f64 x (*.f64 s s)))) (cos.f64 (+.f64 x x))) -1)
	42.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (pow.f64 (.f64 (sqrt.f64 x) (.f64 s (sqrt.f64 x))) 2)))
	28.0b	(.f64 (/.f64 (cos.f64 (+.f64 x x)) (.f64 c c)) (/.f64 1 (.f64 x (.f64 x (*.f64 s s)))))
	35.6b	(.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))))))
	44.7b	(pow.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 x x))) (.f64 c (.f64 (sqrt.f64 x) (*.f64 s (sqrt.f64 x))))) 2)
	28.4b	(.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)))))))
	33.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
	52.7b	(+.f64 (/.f64 1 (.f64 (.f64 s s) (.f64 (.f64 c c) (.f64 x x)))) (fma.f64 (/.f64 (/.f64 (.f64 x x) (.f64 s s)) c) (-.f64 (/.f64 2/3 c) (/.f64 (.f64 (.f64 x x) 4/45) c)) (/.f64 -2 (.f64 (.f64 s s) (.f64 c c)))))
	35.5b	(/.f64 (cos.f64 (.f64 2 x)) (pow.f64 (.f64 c (.f64 (sqrt.f64 x) (.f64 s (sqrt.f64 x)))) 2))

Compiler

Compiled 2946 to 1234 computations (58.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 1 (.f64 (.f64 c c) (.f64 x (.f64 s s))))
✓	4.7b	(.f64 (/.f64 1 (.f64 (.f64 c c) (.f64 x (*.f64 s s)))) (/.f64 (cos.f64 (+.f64 x x)) x))
✓	8.6b	(.f64 x (.f64 s s))
✓	18.2b	(.f64 (.f64 c c) (.f64 x (.f64 s s)))

series314.0ms (3.2%)

Counts

4 → 132

Calls

4 calls:

157.0ms	(.f64 (/.f64 1 (.f64 (.f64 c c) (.f64 x (*.f64 s s)))) (/.f64 (cos.f64 (+.f64 x x)) x))
117.0ms	(/.f64 1 (.f64 (.f64 c c) (.f64 x (.f64 s s))))
31.0ms	(.f64 (.f64 c c) (.f64 x (.f64 s s)))
8.0ms	(.f64 x (.f64 s s))

rewrite167.0ms (1.7%)

Algorithm

2×	batch-egg-rewrite

Rules

131× egg-rr

Counts

4 → 131

Calls

2 calls:

164.0ms

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

0.0ms

()

Iterations

Useful iterations: 0 (0.0ms)

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

simplify75.0ms (0.8%)

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

263 → 150

Iterations

Useful iterations: 3 (0.0ms)

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

prune223.0ms (2.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	139	11	150
Fresh	8	4	12
Picked	1	0	1
Done	0	0	0
Total	148	15	163

Error

10.8b

Counts

163 → 15

Alt Table

Status	Error	Program
	27.8b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (.f64 x (.f64 s s))) (*.f64 c c))
	26.7b	(.f64 (/.f64 1 (/.f64 (.f64 (.f64 c c) x) (/.f64 1 (.f64 s s)))) (/.f64 (cos.f64 (+.f64 x x)) x))
	43.9b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (pow.f64 (.f64 s (sqrt.f64 x)) 2) x)))
	21.0b	(.f64 (.f64 (pow.f64 c -1) (pow.f64 (.f64 c (.f64 x (*.f64 s s))) -1)) (/.f64 (cos.f64 (+.f64 x x)) x))
	52.0b	(+.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))))
	37.8b	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (pow.f64 (.f64 c (.f64 s (sqrt.f64 x))) 2))) 3)
	35.5b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (.f64 c (.f64 s (sqrt.f64 x)))) (.f64 c (.f64 s (sqrt.f64 x))))
	45.9b	(/.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 x x)) x)) (/.f64 (pow.f64 (.f64 c (.f64 s (sqrt.f64 x))) 2) (sqrt.f64 (/.f64 (cos.f64 (+.f64 x x)) x))))
	37.9b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s (sqrt.f64 x))) 2)) (sqrt.f64 x)) (sqrt.f64 x))
	35.6b	(.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))))))
	28.4b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 c 2) (.f64 (pow.f64 (cbrt.f64 (.f64 x (*.f64 s s))) 3) x)))
	37.8b	(/.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)))
	39.1b	(expm1.f64 (log1p.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (pow.f64 (.f64 c (.f64 s (sqrt.f64 x))) 2))))
▶	19.0b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (.f64 c (.f64 x (*.f64 s s))))
	33.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))

Compiler

Compiled 3738 to 1527 computations (59.1% 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)
✓	5.9b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (.f64 c (.f64 x (*.f64 s s))))
✓	7.9b	(.f64 c (.f64 x (*.f64 s s)))
	8.6b	(.f64 x (.f64 s s))

series243.0ms (2.4%)

Counts

3 → 96

Calls

3 calls:

203.0ms	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (.f64 c (.f64 x (*.f64 s s))))
21.0ms	(.f64 c (.f64 x (*.f64 s s)))
19.0ms	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c)

rewrite89.0ms (0.9%)

Algorithm

2×	batch-egg-rewrite

Rules

109× egg-rr

Counts

3 → 109

Calls

2 calls:

86.0ms	((.f64 c (.f64 x (.f64 s s))) (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (.f64 c (.f64 x (.f64 s s)))) (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

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

simplify73.0ms (0.7%)

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

205 → 131

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

prune211.0ms (2.1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	139	9	148
Fresh	5	9	14
Picked	1	0	1
Done	0	0	0
Total	145	18	163

Error

3.2b

Counts

163 → 18

Alt Table

Status	Error	Program
	40.2b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (.f64 c (pow.f64 (.f64 s (sqrt.f64 x)) 2)))
	35.6b	(.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))))))
	21.0b	(.f64 (.f64 (pow.f64 c -1) (pow.f64 (.f64 c (.f64 x (*.f64 s s))) -1)) (/.f64 (cos.f64 (+.f64 x x)) x))
▶	16.4b	(.f64 (/.f64 1 (.f64 c x)) (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (*.f64 s s)))
	32.6b	(.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)))
	19.3b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (pow.f64 (cbrt.f64 (.f64 c (.f64 x (*.f64 s s)))) 3))
	33.7b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (pow.f64 s 2) (*.f64 (pow.f64 c 2) (pow.f64 x 2))))
	34.5b	(.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)))
	37.5b	(.f64 (sqrt.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c)) (.f64 (sqrt.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c)) (/.f64 1 (.f64 c (.f64 x (*.f64 s s))))))
	37.8b	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (pow.f64 (.f64 c (.f64 s (sqrt.f64 x))) 2))) 3)
	35.5b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (.f64 c (.f64 s (sqrt.f64 x)))) (.f64 c (.f64 s (sqrt.f64 x))))
	45.9b	(/.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 x x)) x)) (/.f64 (pow.f64 (.f64 c (.f64 s (sqrt.f64 x))) 2) (sqrt.f64 (/.f64 (cos.f64 (+.f64 x x)) x))))
	22.5b	(/.f64 (cos.f64 (.f64 2 x)) (.f64 (.f64 s s) (.f64 (.f64 c x) (.f64 c x))))
	37.9b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s (sqrt.f64 x))) 2)) (sqrt.f64 x)) (sqrt.f64 x))
	39.2b	(pow.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c)) (.f64 (sqrt.f64 (.f64 c x)) s)) 2)
	37.8b	(/.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)))
	19.0b	(/.f64 (/.f64 (cos.f64 (.f64 2 x)) (.f64 c x)) (.f64 c (.f64 x (*.f64 s s))))
	39.1b	(expm1.f64 (log1p.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (pow.f64 (.f64 c (.f64 s (sqrt.f64 x))) 2))))

Compiler

Compiled 4150 to 1323 computations (68.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c)
✓	0.9b	(/.f64 1 (*.f64 c x))
✓	6.0b	(.f64 (/.f64 1 (.f64 c x)) (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (*.f64 s s)))
✓	14.7b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (*.f64 s s))

series250.0ms (2.5%)

Counts

3 → 72

Calls

3 calls:

159.0ms	(.f64 (/.f64 1 (.f64 c x)) (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (*.f64 s s)))
83.0ms	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (*.f64 s s))
8.0ms	(/.f64 1 (*.f64 c x))

rewrite144.0ms (1.4%)

Algorithm

2×	batch-egg-rewrite

Rules

148× egg-rr

Counts

3 → 148

Calls

2 calls:

140.0ms	((/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (.f64 s s)) (.f64 (/.f64 1 (.f64 c x)) (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (.f64 s s))) (/.f64 1 (*.f64 c x)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	317	46
2	4593	46
3	5709	46
0	0	0
1	0	0

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

707×	`cancel-sign-sub-inv_binary64`
699×	`fma-def_binary64`
421×	`unswap-sqr_binary64`
366×	`fma-neg_binary64`
346×	`associate-/r*_binary64`

Counts

220 → 170

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	1669
1	168	1667
2	560	1663
3	2453	1661
4	5120	1661

prune307.0ms (3.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	212	7	219
Fresh	10	7	17
Picked	1	0	1
Done	0	0	0
Total	223	14	237

Error

1.0b

Counts

237 → 14

Alt Table

Status	Error	Program
	27.8b	(/.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c)) s) (/.f64 (*.f64 x c) (/.f64 (sqrt.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c)) s)))
	37.9b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 c (.f64 s (sqrt.f64 x))) 2)) (sqrt.f64 x)) (sqrt.f64 x))
	32.6b	(.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)))
	19.3b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (pow.f64 (cbrt.f64 (.f64 c (.f64 x (*.f64 s s)))) 3))
	24.4b	(expm1.f64 (log1p.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) (pow.f64 (.f64 x c) 2)) (.f64 s s))))
	9.0b	(.f64 (/.f64 1 (.f64 c x)) (*.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) s) (/.f64 (/.f64 1 c) s)))
	37.8b	(/.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)))
	35.5b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) (.f64 c (.f64 s (sqrt.f64 x)))) (.f64 c (.f64 s (sqrt.f64 x))))
	45.9b	(/.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 x x)) x)) (/.f64 (pow.f64 (.f64 c (.f64 s (sqrt.f64 x))) 2) (sqrt.f64 (/.f64 (cos.f64 (+.f64 x x)) x))))
	18.9b	(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) (.f64 (.f64 c (*.f64 s s)) x))
	7.8b	(/.f64 (.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) s) (/.f64 1 c)) (.f64 s x))
	21.0b	(.f64 (.f64 (pow.f64 c -1) (pow.f64 (.f64 c (.f64 x (*.f64 s s))) -1)) (/.f64 (cos.f64 (+.f64 x x)) x))
	6.6b	(/.f64 (.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) s) (/.f64 1 (.f64 x c))) s)
	2.7b	(/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 x x)) x) c) s) (.f64 (.f64 x c) s))

Compiler

Compiled 5164 to 1715 computations (66.8% saved)

regimes1.7s (17%)

Accuracy

Total 0.6b remaining (31.7%)

Threshold costs 0.6b (31.7%)

Counts

254 → 2

Compiler

Compiled 34765 to 21854 computations (37.1% saved)

bsearch104.0ms (1%)

Steps

Iters	Range		Point
8	-8.374069070731208e-308	6.460231235969427e-305	3.413023980714311e-307

Compiler

Compiled 4 to 3 computations (25% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	61
1	25	61
2	25	61

end182.0ms (1.8%)

Remove: (sort c s)
Compiler: Compiled 499 to 264 computations (47.1% saved)

Details

analyze2.0s (20.3%)

sample3.1s (31%)

simplify110.0ms (1.1%)

prune3.0ms (0%)

localize11.0ms (0.1%)

series220.0ms (2.2%)

rewrite108.0ms (1.1%)

simplify76.0ms (0.8%)

prune142.0ms (1.4%)

localize12.0ms (0.1%)

series314.0ms (3.2%)

rewrite167.0ms (1.7%)

simplify75.0ms (0.8%)

prune223.0ms (2.2%)

localize11.0ms (0.1%)

series243.0ms (2.4%)

rewrite89.0ms (0.9%)

simplify73.0ms (0.7%)

prune211.0ms (2.1%)

localize12.0ms (0.1%)

series250.0ms (2.5%)

rewrite144.0ms (1.4%)

simplify57.0ms (0.6%)

prune307.0ms (3.1%)

regimes1.7s (17%)

bsearch104.0ms (1%)

simplify2.0ms (0%)

end182.0ms (1.8%)

Profiling