Details

analyze1.4s (8.3%)

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)

sample4.2s (25%)

Symmetry

(sort z t)

Results

1.2s	1679×	body	1024	valid
963.0ms	4714×	body	128	valid
874.0ms	772×	body	2048	valid
614.0ms	3365×	body	128	invalid
353.0ms	728×	body	512	valid
124.0ms	361×	body	256	valid
5.0ms	2×	body	4096	valid

Compiler

Compiled 77 to 59 computations (23.4% saved)

simplify62.0ms (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

prune5.0ms (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

19.2b

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)))
	19.4b	(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)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 z t) 3)
✓	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
✓	0.2b	(/.f64 a (*.f64 b 3))
✓	23.7b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

series63.0ms (0.4%)

Counts

4 → 120

Calls

4 calls:

42.0ms	(.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)

rewrite28.0ms (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:

7.0ms	(.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))

simplify161.0ms (1%)

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

prune645.0ms (3.8%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	171	26	197
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	173	26	199

Error

12.5b

Counts

199 → 26

Alt Table

Status	Error	Program
	19.5b	(-.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)))
	19.5b	(-.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)))
	27.6b	(-.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)))
	19.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	18.9b	(-.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)))
	45.5b	(-.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)))
	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 1/3 (/.f64 a b)))
	18.9b	(-.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)))
	24.3b	(-.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)))
	19.0b	(-.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)))
	24.4b	(-.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 (.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)))
	19.4b	(-.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)))
▶	15.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	19.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 b) (/.f64 a 3)))
	19.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3)))) (cbrt.f64 (/.f64 (.f64 z t) 3))))) (.f64 (sin.f64 y) (sin.f64 (.f64 (neg.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)))
	37.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (sqrt.f64 (/.f64 a (.f64 b 3))) (sqrt.f64 (/.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 (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 1 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)))
	19.0b	(-.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)))
	38.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 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 1 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)) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	32.0b	(-.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)))
	45.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (sqrt.f64 y) (sqrt.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 (sqrt.f64 y) (sqrt.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)))
	19.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 (/.f64 a b) 3))
	19.3b	(-.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)))
	18.4b	(-.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 (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)))
	19.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 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 1 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)))

Compiler

Compiled 10073 to 6507 computations (35.4% saved)

localize13.0ms (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)))
✓	0.1b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
	0.2b	(/.f64 a (*.f64 b 3))

series51.0ms (0.3%)

Counts

2 → 49

Calls

2 calls:

33.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
17.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))

rewrite13.0ms (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))

simplify81.0ms (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

prune391.0ms (2.3%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	108	13	121
Fresh	7	18	25
Picked	1	0	1
Done	0	0	0
Total	116	31	147

Error

12.2b

Counts

147 → 31

Alt Table

Status	Error	Program
	19.5b	(-.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)))
	19.5b	(-.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)))
	33.7b	(*.f64 -1/3 (/.f64 a b))
	30.5b	(/.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)))
	33.6b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	19.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	18.9b	(-.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)))
	45.5b	(-.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)))
	23.0b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	45.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (sqrt.f64 y) (sqrt.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 (sqrt.f64 y) (sqrt.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)))
	18.9b	(-.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)))
	24.3b	(-.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)))
	45.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 a b)))))
	40.9b	(/.f64 (-.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3)) (pow.f64 (.f64 (/.f64 a b) 1/3) 3)) (fma.f64 4 (.f64 x (.f64 (cos.f64 y) (cos.f64 y))) (.f64 (/.f64 a b) (+.f64 (/.f64 (/.f64 a b) 9) (/.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 3/2)))))
	15.9b	(-.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)))
	19.0b	(-.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)))
	24.4b	(-.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 (.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)))
	36.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (sqrt.f64 (/.f64 a (.f64 3 b))) (sqrt.f64 (/.f64 a (*.f64 3 b)))))
	16.1b	(-.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)))
	15.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	26.3b	(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	19.3b	(-.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)))
▶	15.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a b) 3))
	19.0b	(-.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)))
	38.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 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 1 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)))
	25.4b	(-.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)))
	19.4b	(-.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)))
	19.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3)))) (cbrt.f64 (/.f64 (.f64 z t) 3))))) (.f64 (sin.f64 y) (sin.f64 (.f64 (neg.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)))
	18.4b	(-.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 (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)) (-.f64 (.f64 (cos.f64 (fma.f64 1 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 1 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)))
	19.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 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 1 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)))

Compiler

Compiled 5814 to 3778 computations (35% saved)

localize11.0ms (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 (/.f64 a b) 3))
	0.1b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
✓	0.3b	(/.f64 (/.f64 a b) 3)

series41.0ms (0.2%)

Counts

2 → 61

Calls

2 calls:

35.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a b) 3))
6.0ms	(/.f64 (/.f64 a b) 3)

rewrite35.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

207×	`times-frac_binary64`
114×	`*-un-lft-identity_binary64`
114×	`add-sqr-sqrt_binary64`
114×	`add-cube-cbrt_binary64`
43×	`cancel-sign-sub-inv_binary64`

Counts

2 → 172

Calls

2 calls:

12.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a b) 3))
4.0ms	(/.f64 (/.f64 a b) 3)

simplify144.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

624×	`fma-def_binary64`
546×	`associate-*r/_binary64`
407×	`associate-*l/_binary64`
222×	`distribute-neg-frac_binary64`
201×	`associate-/l*_binary64`

Counts

233 → 278

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	476	7435
1	1417	5665
2	4711	5659
3	5152	5659

prune919.0ms (5.5%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	307	6	313
Fresh	6	24	30
Picked	1	0	1
Done	0	0	0
Total	314	30	344

Error

12.2b

Counts

344 → 30

Alt Table

Status	Error	Program
	44.4b	(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
	19.5b	(-.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)))
	19.5b	(-.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)))
	33.7b	(*.f64 -1/3 (/.f64 a b))
	30.5b	(/.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)))
	18.9b	(-.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)))
	45.5b	(-.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)))
	16.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 (/.f64 a b) (sqrt.f64 3)) (sqrt.f64 3)))
	45.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (sqrt.f64 y) (sqrt.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 (sqrt.f64 y) (sqrt.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)))
	18.9b	(-.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)))
	24.3b	(-.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)))
	40.9b	(/.f64 (-.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3)) (pow.f64 (.f64 (/.f64 a b) 1/3) 3)) (fma.f64 4 (.f64 x (.f64 (cos.f64 y) (cos.f64 y))) (.f64 (/.f64 a b) (+.f64 (/.f64 (/.f64 a b) 9) (/.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 3/2)))))
	15.9b	(-.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)))
	19.0b	(-.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)))
	24.4b	(-.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 (.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)))
	16.1b	(-.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)))
	23.0b	(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 a b) 3))
▶	15.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	33.6b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 (/.f64 a b) 3))
	19.4b	(-.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)))
	26.3b	(-.f64 (exp.f64 (log.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 (/.f64 a b) 3))
	19.0b	(-.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)))
	38.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 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 1 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)) (log.f64 (exp.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	25.3b	(-.f64 (.f64 (.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (/.f64 (/.f64 a b) 3))
	19.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3)))) (cbrt.f64 (/.f64 (.f64 z t) 3))))) (.f64 (sin.f64 y) (sin.f64 (.f64 (neg.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)))
	19.3b	(-.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)))
	18.4b	(-.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 (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)) (-.f64 (.f64 (cos.f64 (fma.f64 1 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 1 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)))
	19.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 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 1 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)))

Compiler

Compiled 12298 to 6897 computations (43.9% saved)

localize14.0ms (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 (/.f64 1 b) (/.f64 a 3)))
	0.1b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
✓	0.3b	(*.f64 (/.f64 1 b) (/.f64 a 3))

series46.0ms (0.3%)

Counts

2 → 61

Calls

2 calls:

40.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
7.0ms	(*.f64 (/.f64 1 b) (/.f64 a 3))

rewrite18.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
24×	`add-exp-log_binary64`
18×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`

Counts

2 → 74

Calls

2 calls:

8.0ms	(*.f64 (/.f64 1 b) (/.f64 a 3))
5.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))

simplify100.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

521×	`fma-neg_binary64`
420×	`associate-*l/_binary64`
394×	`fma-def_binary64`
364×	`cancel-sign-sub-inv_binary64`
356×	`associate-*r/_binary64`

Counts

135 → 136

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	2036
1	426	1869
2	1383	1809
3	3839	1805
4	4946	1805
5	4962	1805

prune496.0ms (2.9%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	29	29
Picked	0	1	1
Done	0	0	0
Total	171	30	201

Error

12.2b

Counts

201 → 30

Alt Table

Status	Error	Program
	44.4b	(.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x)))
	19.5b	(-.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)))
	19.5b	(-.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)))
	33.7b	(*.f64 -1/3 (/.f64 a b))
	30.5b	(/.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)))
	18.9b	(-.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)))
	45.5b	(-.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)))
	16.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 (/.f64 a b) (sqrt.f64 3)) (sqrt.f64 3)))
	45.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (sqrt.f64 y) (sqrt.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 (sqrt.f64 y) (sqrt.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)))
	18.9b	(-.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)))
	24.3b	(-.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)))
	40.9b	(/.f64 (-.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3)) (pow.f64 (.f64 (/.f64 a b) 1/3) 3)) (fma.f64 4 (.f64 x (.f64 (cos.f64 y) (cos.f64 y))) (.f64 (/.f64 a b) (+.f64 (/.f64 (/.f64 a b) 9) (/.f64 (*.f64 (sqrt.f64 x) (cos.f64 y)) 3/2)))))
	15.9b	(-.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)))
	19.0b	(-.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)))
	24.4b	(-.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 (.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)))
	16.1b	(-.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)))
	23.0b	(-.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 a b) 3))
✓	15.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	33.6b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 (/.f64 a b) 3))
	19.4b	(-.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)))
	26.3b	(-.f64 (exp.f64 (log.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 (/.f64 a b) 3))
	19.0b	(-.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)))
	38.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 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 1 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)) (log.f64 (exp.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	25.3b	(-.f64 (.f64 (.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (/.f64 (/.f64 a b) 3))
	19.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3)))) (cbrt.f64 (/.f64 (.f64 z t) 3))))) (.f64 (sin.f64 y) (sin.f64 (.f64 (neg.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)))
	19.3b	(-.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)))
	18.4b	(-.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 (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)) (-.f64 (.f64 (cos.f64 (fma.f64 1 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 1 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)))
	19.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 1 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 1 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)))

Compiler

Compiled 5284 to 3351 computations (36.6% saved)

regimes7.1s (41.8%)

Accuracy

Total 2.5b remaining (16.7%)

Threshold costs 0b (0%)

Counts

184 → 3

Compiler

Compiled 123412 to 90674 computations (26.5% saved)

bsearch9.0ms (0.1%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative_binary64`
17×	`+-commutative_binary64`
17×	`sub-neg_binary64`
13×	`neg-sub0_binary64`
13×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	141
1	81	141
2	115	141
3	148	141
4	162	141
5	166	141
6	164	141

end838.0ms (5%)

Remove: (sort z t)
Compiler: Compiled 2014 to 1447 computations (28.2% saved)

Details

analyze1.4s (8.3%)

sample4.2s (25%)

simplify62.0ms (0.4%)

prune5.0ms (0%)

localize17.0ms (0.1%)

series63.0ms (0.4%)

rewrite28.0ms (0.2%)

simplify161.0ms (1%)

prune645.0ms (3.8%)

localize13.0ms (0.1%)

series51.0ms (0.3%)

rewrite13.0ms (0.1%)

simplify81.0ms (0.5%)

prune391.0ms (2.3%)

localize11.0ms (0.1%)

series41.0ms (0.2%)

rewrite35.0ms (0.2%)

simplify144.0ms (0.9%)

prune919.0ms (5.5%)

localize14.0ms (0.1%)

series46.0ms (0.3%)

rewrite18.0ms (0.1%)

simplify100.0ms (0.6%)

prune496.0ms (2.9%)

regimes7.1s (41.8%)

bsearch9.0ms (0.1%)

simplify9.0ms (0.1%)

end838.0ms (5%)

Profiling