Details

analyze879.0ms (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
24.9%	74.8%	0.3%	7
24.9%	49.9%	25.2%	8
24.9%	49.9%	25.2%	9
24.9%	49.9%	25.2%	10
24.9%	49.9%	25.2%	11
24.9%	49.9%	25.2%	12
37.4%	37.4%	25.2%	13
37.4%	24.9%	37.7%	14

Compiler

Compiled 26 to 20 computations (23.1% saved)

sample3.2s (22%)

Infinites

12.5% of outputs are infinite.

Symmetry

(sort z t)

Results

931.0ms	1522×	body	1024	valid
826.0ms	5123×	body	128	valid
647.0ms	675×	body	2048	valid
331.0ms	2066×	body	128	invalid
253.0ms	631×	body	512	valid
98.0ms	305×	body	256	valid

Compiler

Compiled 77 to 59 computations (23.4% saved)

simplify58.0ms (0.4%)

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

16.9b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	17.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
	17.2b	(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))))
✓	24.5b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

series65.0ms (0.4%)

Counts

4 → 120

Calls

4 calls:

43.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
10.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
6.0ms	(/.f64 a (*.f64 b 3))
4.0ms	(/.f64 (*.f64 z t) 3)

rewrite29.0ms (0.2%)

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))))
6.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
3.0ms	(/.f64 (*.f64 z t) 3)
3.0ms	(/.f64 a (*.f64 b 3))

simplify198.0ms (1.4%)

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

prune1.0s (6.9%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	174	23	197
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	175	24	199

Error

11.2b

Counts

199 → 24

Alt Table

Status	Error	Program
	17.3b	(-.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)))
	25.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	25.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (expm1.f64 (log1p.f64 (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	17.0b	(-.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)))
	16.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (sin.f64 y)))) (/.f64 a (*.f64 b 3)))
	17.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 1/3 (/.f64 a b)))
	17.3b	(-.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)))
	16.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3))))) (.f64 (sin.f64 y) (sin.f64 (neg.f64 (.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))))) (/.f64 a (*.f64 b 3)))
	35.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (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)))
	17.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (.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)))
	23.5b	(-.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)))
	16.4b	(-.f64 (+.f64 (.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (cos.f64 (/.f64 (.f64 t z) 3))) (.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 t z) 3))) (.f64 2 (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	25.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t z))) -1/18 (fma.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	17.1b	(-.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)))
	23.1b	(-.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)))
	16.4b	(-.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)))
	24.6b	(-.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))))) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
▶	13.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	17.2b	(fma.f64 a (/.f64 -1/3 b) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))
	17.4b	(-.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)))
	23.5b	(-.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)))
	35.9b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (-.f64 y (/.f64 (.f64 t z) 3))) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	23.8b	(-.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 (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 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.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)))
	23.7b	(-.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)))

Compiler

Compiled 9749 to 6183 computations (36.6% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	0.2b	(/.f64 a (*.f64 b 3))
✓	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))

series58.0ms (0.4%)

Counts

2 → 49

Calls

2 calls:

42.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
16.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))

rewrite14.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cancel-sign-sub-inv_binary64`
7×	`prod-diff_binary64`
7×	`*-un-lft-identity_binary64`
7×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`

Counts

2 → 48

Calls

2 calls:

6.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
5.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))

simplify78.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

754×	`fma-neg_binary64`
651×	`fma-def_binary64`
358×	`*-commutative_binary64`
307×	`associate-*l/_binary64`
253×	`associate-*r/_binary64`

Counts

97 → 86

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	1861
1	429	1652
2	1416	1562
3	4259	1558
4	4811	1558

prune441.0ms (3%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	109	12	121
Fresh	6	17	23
Picked	1	0	1
Done	0	0	0
Total	116	29	145

Error

11.0b

Counts

145 → 29

Alt Table

Status	Error	Program
	34.4b	(/.f64 (-.f64 (.f64 x (.f64 4 (.f64 (cos.f64 y) (cos.f64 y)))) (pow.f64 (cbrt.f64 (.f64 (/.f64 a b) 1/3)) 6)) (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) 1/3)))
	17.3b	(-.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)))
	25.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	34.0b	(/.f64 (-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))) (.f64 (/.f64 a (.f64 b 3)) (/.f64 a (.f64 b 3)))) (+.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3))))
	25.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (expm1.f64 (log1p.f64 (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	21.1b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	16.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (sin.f64 y)))) (/.f64 a (*.f64 b 3)))
	29.1b	(-.f64 (.f64 (sqrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))) (sqrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (.f64 b 3)))
	29.7b	(*.f64 -1/3 (/.f64 a b))
	16.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3))))) (.f64 (sin.f64 y) (sin.f64 (neg.f64 (.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))))) (/.f64 a (*.f64 b 3)))
	17.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (.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)))
	23.5b	(-.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)))
	16.4b	(-.f64 (+.f64 (.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (cos.f64 (/.f64 (.f64 t z) 3))) (.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 t z) 3))) (.f64 2 (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	25.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t z))) -1/18 (fma.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	13.9b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))) (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	16.4b	(-.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)))
	23.1b	(-.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)))
▶	13.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 a (/.f64 1/3 b)))
	50.1b	(log.f64 (exp.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))))
	21.7b	(-.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	23.8b	(-.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 (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 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.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)))
	33.6b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	23.5b	(-.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)))
	17.4b	(-.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)))
	21.7b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	23.7b	(-.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)))
	13.8b	(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cos.f64 y))) (/.f64 a (*.f64 b 3)))
	35.9b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (-.f64 y (/.f64 (.f64 t z) 3))) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	24.6b	(-.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))))) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))

Compiler

Compiled 5482 to 3454 computations (37% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 a (/.f64 1/3 b)))
✓	0.2b	(*.f64 a (/.f64 1/3 b))
	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
✓	0.3b	(/.f64 1/3 b)

series42.0ms (0.3%)

Counts

3 → 61

Calls

3 calls:

34.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 a (/.f64 1/3 b)))
6.0ms	(*.f64 a (/.f64 1/3 b))
1.0ms	(/.f64 1/3 b)

rewrite16.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
19×	`times-frac_binary64`
19×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64`

Counts

3 → 79

Calls

3 calls:

6.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 a (/.f64 1/3 b)))
5.0ms	(*.f64 a (/.f64 1/3 b))
2.0ms	(/.f64 1/3 b)

simplify98.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

450×	`fma-def_binary64`
440×	`fma-neg_binary64`
343×	`cancel-sign-sub-inv_binary64`
288×	`*-commutative_binary64`
282×	`associate-*r/_binary64`

Counts

140 → 128

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	154	1890
1	355	1817
2	1222	1777
3	3382	1773
4	4649	1773
5	4918	1773

prune800.0ms (5.5%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	28	28
Picked	0	1	1
Done	0	0	0
Total	163	29	192

Error

11.0b

Counts

192 → 29

Alt Table

Status	Error	Program
	34.4b	(/.f64 (-.f64 (.f64 x (.f64 4 (.f64 (cos.f64 y) (cos.f64 y)))) (pow.f64 (cbrt.f64 (.f64 (/.f64 a b) 1/3)) 6)) (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) 1/3)))
	17.3b	(-.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)))
	25.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	34.0b	(/.f64 (-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))) (.f64 (/.f64 a (.f64 b 3)) (/.f64 a (.f64 b 3)))) (+.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3))))
	25.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (expm1.f64 (log1p.f64 (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	21.1b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	16.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (sin.f64 y)))) (/.f64 a (*.f64 b 3)))
	29.1b	(-.f64 (.f64 (sqrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))) (sqrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (.f64 b 3)))
	29.7b	(*.f64 -1/3 (/.f64 a b))
	16.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3))))) (.f64 (sin.f64 y) (sin.f64 (neg.f64 (.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))))) (/.f64 a (*.f64 b 3)))
	17.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (.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)))
	23.5b	(-.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)))
	16.4b	(-.f64 (+.f64 (.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (cos.f64 (/.f64 (.f64 t z) 3))) (.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 t z) 3))) (.f64 2 (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	25.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t z))) -1/18 (fma.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	13.9b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))) (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	16.4b	(-.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)))
	23.1b	(-.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)))
✓	13.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 a (/.f64 1/3 b)))
	50.1b	(log.f64 (exp.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))))
	21.7b	(-.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	23.8b	(-.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 (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 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.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)))
	33.6b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	23.5b	(-.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)))
	17.4b	(-.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)))
	21.7b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	23.7b	(-.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)))
▶	13.8b	(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cos.f64 y))) (/.f64 a (*.f64 b 3)))
	35.9b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (-.f64 y (/.f64 (.f64 t z) 3))) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	24.6b	(-.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))))) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))

Compiler

Compiled 6076 to 3792 computations (37.6% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y))))
✓	0.2b	(.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cos.f64 y)))
✓	0.3b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
✓	0.3b	(cbrt.f64 (cos.f64 y))

series785.0ms (5.4%)

Counts

4 → 48

Calls

4 calls:

305.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y))))
232.0ms	(cbrt.f64 (cos.f64 y))
232.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
15.0ms	(.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cos.f64 y)))

rewrite92.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`pow1_binary64`
36×	`add-exp-log_binary64`
23×	`pow-prod-down_binary64`
23×	`add-sqr-sqrt_binary64`
22×	`cbrt-unprod_binary64`

Counts

4 → 111

Calls

4 calls:

70.0ms	(.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cos.f64 y)))
8.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y))))
6.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
1.0ms	(cbrt.f64 (cos.f64 y))

simplify136.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

646×	`*-commutative_binary64`
644×	`unswap-sqr_binary64`
529×	`fma-neg_binary64`
413×	`log-prod_binary64`
292×	`associate-l_binary64`

Counts

159 → 174

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	168	2512
1	401	2012
2	1506	1899
3	2923	1865
4	4561	1847
5	4924	1847
6	5025	1847

prune1.0s (7.1%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	219	3	222
Fresh	2	25	27
Picked	1	0	1
Done	0	1	1
Total	222	29	251

Error

11.0b

Counts

251 → 29

Alt Table

Status	Error	Program
	34.4b	(/.f64 (-.f64 (.f64 x (.f64 4 (.f64 (cos.f64 y) (cos.f64 y)))) (pow.f64 (cbrt.f64 (.f64 (/.f64 a b) 1/3)) 6)) (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 (/.f64 a b) 1/3)))
	17.3b	(-.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)))
	25.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	34.0b	(/.f64 (-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))) (.f64 (/.f64 a (.f64 b 3)) (/.f64 a (.f64 b 3)))) (+.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3))))
	25.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (expm1.f64 (log1p.f64 (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	14.8b	(-.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 2 (sqrt.f64 x))) (log.f64 (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))))) (cbrt.f64 (cos.f64 y))) (/.f64 a (.f64 b 3)))
	16.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (.f64 1/3 (.f64 t z))) (cos.f64 y)) (.f64 (sin.f64 (.f64 t (.f64 z -1/3))) (sin.f64 y)))) (/.f64 a (*.f64 b 3)))
	29.1b	(-.f64 (.f64 (sqrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))) (sqrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (.f64 b 3)))
	29.7b	(*.f64 -1/3 (/.f64 a b))
	16.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3))))) (.f64 (sin.f64 y) (sin.f64 (neg.f64 (.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))))) (/.f64 a (*.f64 b 3)))
	17.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (.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)))
	23.5b	(-.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)))
	16.4b	(-.f64 (+.f64 (.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (cos.f64 (/.f64 (.f64 t z) 3))) (.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 t z) 3))) (.f64 2 (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	25.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t z))) -1/18 (fma.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	13.9b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))) (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	16.4b	(-.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)))
	23.1b	(-.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)))
✓	13.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 a (/.f64 1/3 b)))
	50.1b	(log.f64 (exp.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))))
	33.6b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	23.5b	(-.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)))
	29.1b	(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (pow.f64 (cos.f64 y) 1/3)) (/.f64 a (*.f64 b 3)))
	17.4b	(-.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)))
	21.7b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	23.7b	(-.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)))
	21.5b	(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) 1) (/.f64 a (*.f64 b 3)))
	35.9b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (-.f64 y (/.f64 (.f64 t z) 3))) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	23.8b	(-.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 (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 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.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)))
	24.6b	(-.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))))) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))

Compiler

Compiled 7542 to 3690 computations (51.1% saved)

regimes4.7s (32.2%)

Accuracy

Total 3.2b remaining (22.1%)

Threshold costs 0b (0%)

Counts

167 → 3

Compiler

Compiled 108169 to 78039 computations (27.9% saved)

bsearch8.0ms (0.1%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative_binary64`
13×	`+-commutative_binary64`
13×	`sub-neg_binary64`
9×	`neg-sub0_binary64`
9×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	113
1	67	113
2	89	113
3	107	113
4	119	113
5	124	113
6	125	113
7	124	113

end760.0ms (5.2%)

Remove: (sort z t)
Compiler: Compiled 1804 to 1236 computations (31.5% saved)

Details

analyze879.0ms (6%)

sample3.2s (22%)

simplify58.0ms (0.4%)

prune4.0ms (0%)

localize14.0ms (0.1%)

series65.0ms (0.4%)

rewrite29.0ms (0.2%)

simplify198.0ms (1.4%)

prune1.0s (6.9%)

localize10.0ms (0.1%)

series58.0ms (0.4%)

rewrite14.0ms (0.1%)

simplify78.0ms (0.5%)

prune441.0ms (3%)

localize11.0ms (0.1%)

series42.0ms (0.3%)

rewrite16.0ms (0.1%)

simplify98.0ms (0.7%)

prune800.0ms (5.5%)

localize14.0ms (0.1%)

series785.0ms (5.4%)

rewrite92.0ms (0.6%)

simplify136.0ms (0.9%)

prune1.0s (7.1%)

regimes4.7s (32.2%)

bsearch8.0ms (0.1%)

simplify9.0ms (0.1%)

end760.0ms (5.2%)

Profiling