Details

analyze1.5s (5.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	74.8%	25.2%	10
0%	74.8%	25.2%	11
0%	74.8%	25.2%	12
24.9%	49.9%	25.2%	13
24.9%	37.4%	37.7%	14

Compiler

Compiled 26 to 20 computations (23.1% saved)

sample193.0ms (0.7%)

Algorithm

1×

intervals

Symmetry

(sort z t)

Results

32.0ms	63×	body	1024	valid
22.0ms	26×	body	2048	valid
13.0ms	136×	body	128	valid
11.0ms	85×	body	128	nan
10.0ms	48×	body	128	invalid
7.0ms	22×	body	512	valid
2.0ms	9×	body	256	valid

Compiler

Compiled 57 to 45 computations (21.1% saved)

simplify56.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

718×	`fma-def_binary64`
437×	`fma-neg_binary64`
146×	`cancel-sign-sub-inv_binary64`
110×	`distribute-rgt-neg-in_binary64`
104×	`associate-/l*_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	29
1	34	29
2	64	29
3	114	27
4	209	25
5	322	25
6	494	25
7	644	25
8	810	25
9	979	25
10	1197	25
11	1297	25
12	1308	25
13	1324	25
14	1324	25
15	1213	25

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

19.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	19.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
	19.6b	(fma.f64 a (/.f64 -1/3 b) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))

Compiler

Compiled 138 to 101 computations (26.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 a (*.f64 b 3))
✓	0.2b	(/.f64 (*.f64 z t) 3)
✓	0.3b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
✓	24.2b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

series68.0ms (0.3%)

Counts

4 → 120

Calls

4 calls:

45.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
12.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
6.0ms	(/.f64 a (*.f64 b 3))
4.0ms	(/.f64 (*.f64 z t) 3)

rewrite28.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`cos-sum_binary64`
24×	`*-un-lft-identity_binary64`
24×	`add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64`
21×	`prod-diff_binary64`

Counts

4 → 107

Calls

4 calls:

9.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
7.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
3.0ms	(/.f64 (*.f64 z t) 3)
3.0ms	(/.f64 a (*.f64 b 3))

simplify178.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

544×	`fma-def_binary64`
441×	`cancel-sign-sub-inv_binary64`
355×	`times-frac_binary64`
315×	`fma-neg_binary64`
307×	`associate-l_binary64`

Counts

227 → 197

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	429	5768
1	845	4618
2	2506	4006
3	4713	3886
4	4983	3886
5	4842	3886

prune646.0ms (2.5%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	168	29	197
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	169	30	199

Error

13.2b

Counts

199 → 30

Alt Table

Status	Error	Program
	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 b) (/.f64 a 3)))
	19.6b	(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))))) (/.f64 a (.f64 b 3)))
	19.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3)))))) (.f64 (sin.f64 y) (sin.f64 (neg.f64 (.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))))))))) (/.f64 a (*.f64 b 3)))
	26.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 (.f64 z t) 3) 1)))) (cos.f64 (fma.f64 (neg.f64 (/.f64 (.f64 z t) 3)) 1 (.f64 (/.f64 (.f64 z t) 3) 1)))) (.f64 (sin.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 (.f64 z t) 3) 1)))) (sin.f64 (fma.f64 (neg.f64 (/.f64 (.f64 z t) 3)) 1 (.f64 (/.f64 (.f64 z t) 3) 1)))))) (/.f64 a (*.f64 b 3)))
	19.0b	(-.f64 (+.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x))) (.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	24.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
	17.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	19.7b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))))) (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
▶	17.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 y (/.f64 (.f64 t z) 3))) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (.f64 b 3)))
	26.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t (cbrt.f64 3))) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))) (.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (.f64 (sin.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t (cbrt.f64 3))) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))) (.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))))))))) (/.f64 a (*.f64 b 3)))
	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (/.f64 (.f64 z t) (sqrt.f64 3)) (sqrt.f64 3))))) (/.f64 a (.f64 b 3)))
	26.0b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	26.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))) (.f64 (sin.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))))) (/.f64 a (*.f64 b 3)))
	43.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (.f64 (/.f64 (.f64 z t) 3) 1)))) (cos.f64 (fma.f64 (neg.f64 (/.f64 (.f64 z t) 3)) 1 (.f64 (/.f64 (.f64 z t) 3) 1)))) (.f64 (sin.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (.f64 (/.f64 (.f64 z t) 3) 1)))) (sin.f64 (fma.f64 (neg.f64 (/.f64 (.f64 z t) 3)) 1 (.f64 (/.f64 (.f64 z t) 3) 1)))))) (/.f64 a (*.f64 b 3)))
	19.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (cbrt.f64 (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	43.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t (sqrt.f64 3))) (/.f64 z (sqrt.f64 3)) (.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (.f64 (sin.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t (sqrt.f64 3))) (/.f64 z (sqrt.f64 3)) (.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))))) (/.f64 a (*.f64 b 3)))
	19.6b	(fma.f64 a (/.f64 -1/3 b) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))
	37.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (log.f64 (/.f64 (.f64 t z) 3)))))) (/.f64 a (.f64 b 3)))
	19.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (neg.f64 (/.f64 z 1)) (/.f64 t 3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 (neg.f64 (/.f64 z 1)) (/.f64 t 3)))))) (/.f64 a (*.f64 b 3)))
	19.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 a (/.f64 1 (*.f64 b 3))))
	34.6b	(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))))) (sqrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))))) (/.f64 a (.f64 b 3)))
	26.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 1 3) (.f64 z t))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (.f64 z t) (.f64 (/.f64 1 3) (.f64 z t))))) (.f64 (sin.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 1 3) (.f64 z t))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (.f64 z t) (.f64 (/.f64 1 3) (.f64 z t))))))) (/.f64 a (*.f64 b 3)))
	34.6b	(-.f64 (.f64 (sqrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))))) (sqrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 1 3) (.f64 z t))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (.f64 z t) (.f64 (/.f64 1 3) (.f64 z t))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 1 3) (.f64 z t))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (.f64 z t) (.f64 (/.f64 1 3) (.f64 z t))))))) (/.f64 a (*.f64 b 3)))
	41.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (sqrt.f64 (/.f64 (.f64 z t) 3)) (sqrt.f64 (/.f64 (.f64 z t) 3)))))) (cos.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 z t) 3))) (sqrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (sqrt.f64 (/.f64 (.f64 z t) 3)) (sqrt.f64 (/.f64 (.f64 z t) 3)))))) (.f64 (sin.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (sqrt.f64 (/.f64 (.f64 z t) 3)) (sqrt.f64 (/.f64 (.f64 z t) 3)))))) (sin.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 z t) 3))) (sqrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (sqrt.f64 (/.f64 (.f64 z t) 3)) (sqrt.f64 (/.f64 (.f64 z t) 3)))))))) (/.f64 a (*.f64 b 3)))
	19.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))))) (/.f64 a (*.f64 b 3)))
	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 y (/.f64 (.f64 t z) 3))) 3))) (/.f64 a (.f64 b 3)))
	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 1/3 (/.f64 a b)))

Compiler

Compiled 10539 to 6729 computations (36.2% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))))
✓	24.2b	(cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1)))))
✓	24.4b	(sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1)))))
✓	51.5b	(fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))

series128.0ms (0.5%)

Counts

4 → 132

Calls

4 calls:

90.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))))
14.0ms	(cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1)))))
13.0ms	(fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))
10.0ms	(sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1)))))

rewrite16.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
9×	`pow1_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`

Counts

4 → 60

Calls

4 calls:

8.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))))
1.0ms	(cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1)))))
1.0ms	(sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1)))))
0.0ms	(fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))

simplify165.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

822×	`fma-def_binary64`
650×	`cancel-sign-sub-inv_binary64`
429×	`fma-neg_binary64`
362×	`associate-r_binary64`
331×	`distribute-rgt-neg-in_binary64`

Counts

192 → 161

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	258	6434
1	740	4998
2	2455	3887
3	4682	3193
4	4499	3193
5	4829	3193

prune1.4s (5.4%)

Pruning

42 alts after pruning (42 fresh and 0 done)

	Pruned	Kept	Total
New	161	19	180
Fresh	6	23	29
Picked	1	0	1
Done	0	0	0
Total	168	42	210

Error

13.1b

Counts

210 → 42

Alt Table

Status	Error	Program
▶	16.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (.f64 b 3)))
	17.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (+.f64 (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (.f64 b 3)))
	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 b) (/.f64 a 3)))
	19.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3)))))) (.f64 (sin.f64 y) (sin.f64 (neg.f64 (.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))))))))) (/.f64 a (*.f64 b 3)))
	26.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 (.f64 z t) 3) 1)))) (cos.f64 (fma.f64 (neg.f64 (/.f64 (.f64 z t) 3)) 1 (.f64 (/.f64 (.f64 z t) 3) 1)))) (.f64 (sin.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 (.f64 z t) 3) 1)))) (sin.f64 (fma.f64 (neg.f64 (/.f64 (.f64 z t) 3)) 1 (.f64 (/.f64 (.f64 z t) 3) 1)))))) (/.f64 a (*.f64 b 3)))
	17.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	19.7b	(-.f64 (/.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))) (.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))) (.f64 2 (sqrt.f64 x)))) (+.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (.f64 b 3)))
	19.0b	(-.f64 (+.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x))) (.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	24.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 1 3) (.f64 z t))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (.f64 z t) (.f64 (/.f64 1 3) (.f64 z t))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 1 3) (.f64 z t))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (.f64 z t) (.f64 (/.f64 1 3) (.f64 z t))))))) (/.f64 a (*.f64 b 3)))
	19.7b	(-.f64 (/.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 0 (pow.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))) 3))) (+.f64 (.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))) (+.f64 (.f64 (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))) (.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
	28.2b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 y (/.f64 (.f64 t z) 3))) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (.f64 b 3)))
	26.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t (cbrt.f64 3))) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))) (.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (.f64 (sin.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t (cbrt.f64 3))) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))) (.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))))))))) (/.f64 a (*.f64 b 3)))
	18.0b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))))) (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))))) (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
	19.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 y) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (.f64 b 3)))
	41.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (sqrt.f64 (/.f64 (.f64 z t) 3)) (sqrt.f64 (/.f64 (.f64 z t) 3)))))) (cos.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 z t) 3))) (sqrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (sqrt.f64 (/.f64 (.f64 z t) 3)) (sqrt.f64 (/.f64 (.f64 z t) 3)))))) (.f64 (sin.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (sqrt.f64 (/.f64 (.f64 z t) 3)) (sqrt.f64 (/.f64 (.f64 z t) 3)))))) (sin.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 z t) 3))) (sqrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (sqrt.f64 (/.f64 (.f64 z t) 3)) (sqrt.f64 (/.f64 (.f64 z t) 3)))))))) (/.f64 a (*.f64 b 3)))
	17.7b	(-.f64 (+.f64 (.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 2 (sqrt.f64 x))) (.f64 (neg.f64 (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))) (.f64 2 (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	26.4b	(-.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))))) (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
	18.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 t (.f64 z -1/3) y)) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
	26.0b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	26.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))) (.f64 (sin.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))))) (/.f64 a (*.f64 b 3)))
	19.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))) (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
	19.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))))) (/.f64 a (*.f64 b 3)))
	25.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))) (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))) (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 y (/.f64 (.f64 t z) 3))) 3))) (/.f64 a (.f64 b 3)))
	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 0)) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (.f64 b 3)))
	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 1/3 (/.f64 a b)))
	17.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3))))) (cbrt.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (cbrt.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
	25.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (expm1.f64 (log1p.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (cbrt.f64 (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	43.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t (sqrt.f64 3))) (/.f64 z (sqrt.f64 3)) (.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (.f64 (sin.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t (sqrt.f64 3))) (/.f64 z (sqrt.f64 3)) (.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))))) (/.f64 a (*.f64 b 3)))
	19.6b	(fma.f64 a (/.f64 -1/3 b) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))
	37.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (log.f64 (/.f64 (.f64 t z) 3)))))) (/.f64 a (.f64 b 3)))
	19.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (neg.f64 (/.f64 z 1)) (/.f64 t 3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 (neg.f64 (/.f64 z 1)) (/.f64 t 3)))))) (/.f64 a (*.f64 b 3)))
	19.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (.f64 b 3)))
	19.7b	(-.f64 (.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3))))) (cbrt.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (.f64 2 (sqrt.f64 x))) (cbrt.f64 (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))))) (/.f64 a (*.f64 b 3)))
	19.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 a (/.f64 1 (*.f64 b 3))))
	26.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 1 3) (.f64 z t))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (.f64 z t) (.f64 (/.f64 1 3) (.f64 z t))))) (.f64 (sin.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 1 3) (.f64 z t))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (.f64 z t) (.f64 (/.f64 1 3) (.f64 z t))))))) (/.f64 a (*.f64 b 3)))
	17.9b	(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (cbrt.f64 (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))))) (cbrt.f64 (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))))) (/.f64 a (*.f64 b 3)))
	17.7b	(-.f64 (/.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))) (.f64 (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))))) (+.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
	17.7b	(-.f64 (/.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) 3) (pow.f64 (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) 3))) (+.f64 (.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))) (+.f64 (.f64 (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))) (.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (.f64 b 3)))
	43.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (.f64 (/.f64 (.f64 z t) 3) 1)))) (cos.f64 (fma.f64 (neg.f64 (/.f64 (.f64 z t) 3)) 1 (.f64 (/.f64 (.f64 z t) 3) 1)))) (.f64 (sin.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (.f64 (/.f64 (.f64 z t) 3) 1)))) (sin.f64 (fma.f64 (neg.f64 (/.f64 (.f64 z t) 3)) 1 (.f64 (/.f64 (.f64 z t) 3) 1)))))) (/.f64 a (*.f64 b 3)))

Compiler

Compiled 21243 to 15454 computations (27.3% saved)

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	24.4b	(sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1)))))
✓	29.1b	(cos.f64 (*.f64 z (/.f64 t 3)))
✓	29.4b	(sin.f64 (*.f64 z (neg.f64 (/.f64 t 3))))
	51.5b	(fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))

series12.0ms (0%)

Counts

2 → 48

Calls

2 calls:

6.0ms	(sin.f64 (*.f64 z (neg.f64 (/.f64 t 3))))
6.0ms	(cos.f64 (*.f64 z (/.f64 t 3)))

rewrite3.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`
2×	`add-exp-log_binary64`

Counts

2 → 19

Calls

2 calls:

1.0ms	(sin.f64 (*.f64 z (neg.f64 (/.f64 t 3))))
1.0ms	(cos.f64 (*.f64 z (/.f64 t 3)))

simplify71.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

704×	`fma-neg_binary64`
453×	`distribute-rgt-neg-in_binary64`
441×	`distribute-lft-neg-in_binary64`
407×	`associate-r_binary64`
387×	`associate-l_binary64`

Counts

67 → 44

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	82	993
1	198	939
2	561	923
3	2243	903
4	4650	885
5	5164	885

prune1.5s (5.7%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	115	6	121
Fresh	11	30	41
Picked	1	0	1
Done	0	0	0
Total	127	36	163

Error

10.5b

Counts

163 → 36

Alt Table

Status	Error	Program
▶	14.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (+.f64 (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 b) (/.f64 a 3)))
	19.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3)))))) (.f64 (sin.f64 y) (sin.f64 (neg.f64 (.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))))))))) (/.f64 a (*.f64 b 3)))
	26.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 (.f64 z t) 3) 1)))) (cos.f64 (fma.f64 (neg.f64 (/.f64 (.f64 z t) 3)) 1 (.f64 (/.f64 (.f64 z t) 3) 1)))) (.f64 (sin.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 (.f64 z t) 3) 1)))) (sin.f64 (fma.f64 (neg.f64 (/.f64 (.f64 z t) 3)) 1 (.f64 (/.f64 (.f64 z t) 3) 1)))))) (/.f64 a (*.f64 b 3)))
	17.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	19.7b	(-.f64 (/.f64 (.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))) (.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))) (.f64 2 (sqrt.f64 x)))) (+.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (.f64 b 3)))
	24.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (cos.f64 y) 1) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
	17.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 t (.f64 z -1/3) y)) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (.f64 b 3)))
	17.7b	(-.f64 (/.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))) (.f64 (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))))) (+.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
	25.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (.f64 b 3)))
	18.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 y) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 1 3) (.f64 z t))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (.f64 z t) (.f64 (/.f64 1 3) (.f64 z t))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 1 3) (.f64 z t))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (.f64 z t) (.f64 (/.f64 1 3) (.f64 z t))))))) (/.f64 a (*.f64 b 3)))
	19.7b	(-.f64 (/.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 0 (pow.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))) 3))) (+.f64 (.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))) (+.f64 (.f64 (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))) (.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
	17.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
	26.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t (cbrt.f64 3))) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))) (.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (.f64 (sin.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t (cbrt.f64 3))) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))) (.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))))))))) (/.f64 a (*.f64 b 3)))
	18.0b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))))) (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))))) (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
	17.7b	(-.f64 (+.f64 (.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 2 (sqrt.f64 x))) (.f64 (neg.f64 (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))) (.f64 2 (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	26.4b	(-.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))))) (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
	26.0b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	26.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))) (.f64 (sin.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))))) (/.f64 a (*.f64 b 3)))
	19.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))) (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
	19.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))))) (/.f64 a (*.f64 b 3)))
	25.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))) (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))) (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 y (/.f64 (.f64 t z) 3))) 3))) (/.f64 a (.f64 b 3)))
	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 1/3 (/.f64 a b)))
	17.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3))))) (cbrt.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (cbrt.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
	25.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (expm1.f64 (log1p.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
	43.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t (sqrt.f64 3))) (/.f64 z (sqrt.f64 3)) (.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (.f64 (sin.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t (sqrt.f64 3))) (/.f64 z (sqrt.f64 3)) (.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))))) (/.f64 a (*.f64 b 3)))
	19.6b	(fma.f64 a (/.f64 -1/3 b) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))
	37.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (log.f64 (/.f64 (.f64 t z) 3)))))) (/.f64 a (.f64 b 3)))
	19.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (neg.f64 (/.f64 z 1)) (/.f64 t 3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 (neg.f64 (/.f64 z 1)) (/.f64 t 3)))))) (/.f64 a (*.f64 b 3)))
	19.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (.f64 b 3)))
	19.7b	(-.f64 (.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3))))) (cbrt.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (.f64 2 (sqrt.f64 x))) (cbrt.f64 (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))))) (/.f64 a (*.f64 b 3)))
	17.7b	(-.f64 (/.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) 3) (pow.f64 (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) 3))) (+.f64 (.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))) (+.f64 (.f64 (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))) (.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (.f64 b 3)))
	19.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 a (/.f64 1 (*.f64 b 3))))

Compiler

Compiled 16817 to 12077 computations (28.2% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (+.f64 (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))))
	29.1b	(cos.f64 (*.f64 z (/.f64 t 3)))
	29.4b	(sin.f64 (*.f64 z (neg.f64 (/.f64 t 3))))
	51.5b	(fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))

series222.0ms (0.9%)

Counts

1 → 36

Calls

1 calls:

222.0ms

(*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (+.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))))

rewrite32.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`associate-*l/_binary64`
10×	`associate-*r/_binary64`
10×	`frac-sub_binary64`
6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`

Counts

1 → 36

Calls

1 calls:

17.0ms

(*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (+.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))))

simplify205.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

533×	`cancel-sign-sub-inv_binary64`
422×	`associate-r_binary64`
413×	`associate-l_binary64`
397×	`fma-neg_binary64`
267×	`*-commutative_binary64`

Counts

72 → 78

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	231	7571
1	809	6651
2	3255	6237
3	4868	6237
4	4834	6198
5	4976	6198

prune2.6s (10.2%)

Pruning

37 alts after pruning (37 fresh and 0 done)

	Pruned	Kept	Total
New	194	10	204
Fresh	8	27	35
Picked	1	0	1
Done	0	0	0
Total	203	37	240

Error

10.4b

Counts

240 → 37

Alt Table

Status	Error	Program
	19.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3)))))) (.f64 (sin.f64 y) (sin.f64 (neg.f64 (.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))))))))) (/.f64 a (*.f64 b 3)))
	23.5b	(-.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (+.f64 (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (+.f64 (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))))) (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (+.f64 (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 b) (/.f64 a 3)))
	26.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 (.f64 z t) 3) 1)))) (cos.f64 (fma.f64 (neg.f64 (/.f64 (.f64 z t) 3)) 1 (.f64 (/.f64 (.f64 z t) 3) 1)))) (.f64 (sin.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 (.f64 z t) 3) 1)))) (sin.f64 (fma.f64 (neg.f64 (/.f64 (.f64 z t) 3)) 1 (.f64 (/.f64 (.f64 z t) 3) 1)))))) (/.f64 a (*.f64 b 3)))
	46.6b	(-.f64 (log.f64 (.f64 (pow.f64 (exp.f64 (.f64 2 (sqrt.f64 x))) (.f64 (fma.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (/.f64 t 3))))) (cos.f64 (.f64 z (+.f64 (neg.f64 (/.f64 t 3)) (/.f64 t 3)))))) (exp.f64 (.f64 (sqrt.f64 x) 0)))) (/.f64 a (*.f64 b 3)))
	24.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
	17.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (cos.f64 y) 1) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
	25.5b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (fma.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (/.f64 t 3))))) (cos.f64 (.f64 z (+.f64 (neg.f64 (/.f64 t 3)) (/.f64 t 3)))) (.f64 (fma.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))) (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3))))) (sin.f64 (.f64 z (+.f64 (neg.f64 (/.f64 t 3)) (/.f64 t 3))))))))) (/.f64 a (.f64 b 3)))
	25.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (.f64 b 3)))
	18.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 y) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 1 3) (.f64 z t))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (.f64 z t) (.f64 (/.f64 1 3) (.f64 z t))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 1 3) (.f64 z t))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (.f64 z t) (.f64 (/.f64 1 3) (.f64 z t))))))) (/.f64 a (*.f64 b 3)))
	19.7b	(-.f64 (/.f64 (.f64 (.f64 2 (sqrt.f64 x)) (+.f64 0 (pow.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))) 3))) (+.f64 (.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))) (+.f64 (.f64 (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))) (.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
	17.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 1/3 (.f64 t z)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
	26.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t (cbrt.f64 3))) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))) (.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (.f64 (sin.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t (cbrt.f64 3))) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))) (.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3))))))))) (/.f64 a (*.f64 b 3)))
	18.0b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))))) (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))))) (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
	26.0b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	26.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))) (.f64 (sin.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))))) (/.f64 a (*.f64 b 3)))
	19.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))) (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
	18.0b	(-.f64 (/.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (.f64 (-.f64 (+.f64 (cos.f64 (+.f64 y (.f64 z (/.f64 t 3)))) (cos.f64 (-.f64 y (.f64 z (/.f64 t 3))))) (-.f64 (cos.f64 (-.f64 y (.f64 z (neg.f64 (/.f64 t 3))))) (cos.f64 (+.f64 y (.f64 z (neg.f64 (/.f64 t 3))))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (-.f64 (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3))))))) (.f64 2 (.f64 (-.f64 (.f64 (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3))))) (.f64 (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3))))) (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3))))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))))) (.f64 2 (-.f64 (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))))) (/.f64 a (.f64 b 3)))
	19.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))))))))) (/.f64 a (*.f64 b 3)))
	25.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))) (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))) (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 y (/.f64 (.f64 t z) 3))) 3))) (/.f64 a (.f64 b 3)))
	18.8b	(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (cbrt.f64 (fma.f64 (fma.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (/.f64 t 3))))) (cos.f64 (.f64 z (+.f64 (neg.f64 (/.f64 t 3)) (/.f64 t 3)))) (.f64 (fma.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))) (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3))))) (sin.f64 (.f64 z (+.f64 (neg.f64 (/.f64 t 3)) (/.f64 t 3))))))) (cbrt.f64 (fma.f64 (fma.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (/.f64 t 3))))) (cos.f64 (.f64 z (+.f64 (neg.f64 (/.f64 t 3)) (/.f64 t 3)))) (.f64 (fma.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))) (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3))))) (sin.f64 (.f64 z (+.f64 (neg.f64 (/.f64 t 3)) (/.f64 t 3))))))))) (cbrt.f64 (-.f64 (.f64 (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (+.f64 (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))))) (/.f64 a (*.f64 b 3)))
	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 1/3 (/.f64 a b)))
	17.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3))))) (cbrt.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (cbrt.f64 (cos.f64 (-.f64 y (.f64 z (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
	25.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (expm1.f64 (log1p.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
	43.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t (sqrt.f64 3))) (/.f64 z (sqrt.f64 3)) (.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (.f64 (sin.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t (sqrt.f64 3))) (/.f64 z (sqrt.f64 3)) (.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))))) (/.f64 a (*.f64 b 3)))
	15.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (+.f64 (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (cos.f64 y) (cbrt.f64 (pow.f64 (sin.f64 (.f64 -1/3 (.f64 t z))) 3)))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (.f64 b 3)))
	19.6b	(fma.f64 a (/.f64 -1/3 b) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))
	14.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (+.f64 (.f64 (sin.f64 y) (expm1.f64 (log1p.f64 (cos.f64 (.f64 z (/.f64 t 3)))))) (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
	37.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (log.f64 (/.f64 (.f64 t z) 3)))))) (/.f64 a (.f64 b 3)))
	19.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 a (/.f64 1 (*.f64 b 3))))
	19.0b	(-.f64 (/.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (fma.f64 (fma.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (/.f64 t 3))))) (cos.f64 (.f64 z (+.f64 (neg.f64 (/.f64 t 3)) (/.f64 t 3)))) (.f64 (fma.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))) (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3))))) (sin.f64 (.f64 z (+.f64 (neg.f64 (/.f64 t 3)) (/.f64 t 3)))))) (fma.f64 (fma.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (/.f64 t 3))))) (cos.f64 (.f64 z (+.f64 (neg.f64 (/.f64 t 3)) (/.f64 t 3)))) (.f64 (fma.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))) (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3))))) (sin.f64 (.f64 z (+.f64 (neg.f64 (/.f64 t 3)) (/.f64 t 3)))))))) (+.f64 (.f64 (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (+.f64 (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (.f64 b 3)))
	17.5b	(-.f64 (/.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3))))) (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3))))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3))))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (+.f64 (.f64 (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3))))) (-.f64 (.f64 (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3))))) (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (.f64 (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3))))))))) (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) 3) (pow.f64 (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3))))) 3)) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))))) (.f64 (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (+.f64 (.f64 (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3))))) (-.f64 (.f64 (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3))))) (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (.f64 (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))))))) (/.f64 a (.f64 b 3)))
	17.5b	(-.f64 (/.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) 3) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3))))) 3)) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (+.f64 (.f64 (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3))))) (-.f64 (.f64 (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3))))) (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (.f64 (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3))))))))) (.f64 (+.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3))))) (+.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3))))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))))) (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) 3) (pow.f64 (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3))))) 3)) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1)))))))) (.f64 (+.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3))))) (+.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3))))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))))) (+.f64 (.f64 (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3))))) (-.f64 (.f64 (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3))))) (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))) (.f64 (.f64 (sin.f64 y) (cos.f64 (.f64 z (/.f64 t 3)))) (.f64 (cos.f64 y) (sin.f64 (.f64 z (neg.f64 (/.f64 t 3)))))))))) (/.f64 a (.f64 b 3)))
	19.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))) (.f64 (sin.f64 (fma.f64 1 y (neg.f64 (.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (.f64 b 3)))

Compiler

Compiled 25628 to 17263 computations (32.6% saved)

regimes11.5s (44.4%)

Accuracy

Total 1.4b remaining (11.8%)

Threshold costs 0b (0%)

Counts

259 → 2

Compiler

Compiled 391888 to 285767 computations (27.1% saved)

bsearch35.0ms (0.1%)

Compiler: Compiled 14 to 11 computations (21.4% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative_binary64`
25×	`+-commutative_binary64`
24×	`sub-neg_binary64`
19×	`neg-sub0_binary64`
19×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	188
1	88	188
2	128	188
3	177	188
4	205	188
5	218	188
6	221	188
7	220	188

end10.0ms (0%)

Remove: (sort z t)
Compiler: Compiled 375 to 261 computations (30.4% saved)

sample5.2s (20.1%)

Algorithm

1×

intervals

Results

846.0ms	1678×	body	1024	valid
630.0ms	722×	body	2048	valid
513.0ms	4533×	body	128	valid
235.0ms	2268×	body	128	nan
233.0ms	700×	body	512	valid
124.0ms	1171×	body	128	invalid
88.0ms	367×	body	256	valid

Compiler

Compiled 4209 to 3002 computations (28.7% saved)

Details

analyze1.5s (5.6%)

sample193.0ms (0.7%)

simplify56.0ms (0.2%)

prune4.0ms (0%)

localize14.0ms (0.1%)

series68.0ms (0.3%)

rewrite28.0ms (0.1%)

simplify178.0ms (0.7%)

prune646.0ms (2.5%)

localize25.0ms (0.1%)

series128.0ms (0.5%)

rewrite16.0ms (0.1%)

simplify165.0ms (0.6%)

prune1.4s (5.4%)

localize38.0ms (0.1%)

series12.0ms (0%)

rewrite3.0ms (0%)

simplify71.0ms (0.3%)

prune1.5s (5.7%)

localize37.0ms (0.1%)

series222.0ms (0.9%)

rewrite32.0ms (0.1%)

simplify205.0ms (0.8%)

prune2.6s (10.2%)

regimes11.5s (44.4%)

bsearch35.0ms (0.1%)

simplify9.0ms (0%)

end10.0ms (0%)

sample5.2s (20.1%)

Profiling