Details

analyze1.4s (7.8%)

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)

sample184.0ms (1%)

Algorithm

1×

intervals

Symmetry

(sort z t)

Results

21.0ms	45×	body	1024	valid
16.0ms	158×	body	128	valid
12.0ms	15×	body	2048	valid
11.0ms	83×	body	128	nan
7.0ms	24×	body	512	valid
4.0ms	33×	body	128	invalid
3.0ms	14×	body	256	valid

Compiler

Compiled 57 to 45 computations (21.1% saved)

simplify59.0ms (0.3%)

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

18.3b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	18.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
	18.6b	(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)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 z t) 3)
✓	0.2b	(/.f64 a (*.f64 b 3))
✓	0.3b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
✓	21.8b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

series72.0ms (0.4%)

Counts

4 → 120

Calls

4 calls:

48.0ms	(.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)))
9.0ms	(/.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:

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

simplify173.0ms (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

prune729.0ms (4%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	173	24	197
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	174	25	199

Error

10.0b

Counts

199 → 25

Alt Table

Status	Error	Program
	37.7b	(-.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)))
	18.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 1 (/.f64 (.f64 b 3) a)))
	18.7b	(-.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)))
	18.3b	(-.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)))
	17.7b	(-.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)))
	42.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (sqrt.f64 y) (sqrt.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 (sqrt.f64 y) (sqrt.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)))
	18.7b	(-.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)))
	25.2b	(-.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)))
	37.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (-.f64 (log.f64 (.f64 z t)) (log.f64 3)))))) (/.f64 a (.f64 b 3)))
	17.7b	(-.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)))
	22.6b	(-.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 (/.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)))
	19.0b	(-.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)))
	25.0b	(-.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 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)))
▶	15.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	18.6b	(fma.f64 a (/.f64 -1/3 b) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))
	18.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 (/.f64 a b) 3))
	26.1b	(-.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)))
	24.9b	(-.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)))
	46.3b	(-.f64 (log.f64 (exp.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	18.7b	(-.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)))
	42.6b	(-.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)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z (sqrt.f64 3)) (/.f64 t (sqrt.f64 3)))))) (/.f64 a (.f64 b 3)))
	33.7b	(-.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)))
	37.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 z t) 3))) (sqrt.f64 (/.f64 (.f64 z t) 3))))) (.f64 (sin.f64 y) (sin.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 z t) 3))) (sqrt.f64 (/.f64 (.f64 z t) 3))))))) (/.f64 a (*.f64 b 3)))
	18.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 1 (/.f64 3 (/.f64 a b))))

Compiler

Compiled 9995 to 6341 computations (36.6% saved)

localize12.0ms (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 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
	0.2b	(/.f64 a (*.f64 b 3))

series52.0ms (0.3%)

Counts

2 → 49

Calls

2 calls:

37.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
15.0ms	(.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))

simplify84.0ms (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

prune381.0ms (2.1%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	110	11	121
Fresh	7	17	24
Picked	1	0	1
Done	0	0	0
Total	118	28	146

Error

9.9b

Counts

146 → 28

Alt Table

Status	Error	Program
	37.7b	(-.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)))
	33.9b	(*.f64 -1/3 (/.f64 a b))
	18.7b	(-.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)))
	18.3b	(-.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)))
	23.0b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	15.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 1 (/.f64 (*.f64 b 3) a)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z (sqrt.f64 3)) (/.f64 t (sqrt.f64 3)))))) (/.f64 a (.f64 b 3)))
	15.8b	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (.f64 b 3)))) (cbrt.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (.f64 b 3))))) (cbrt.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))))
	15.1b	(-.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)))
	17.7b	(-.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)))
	42.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (sqrt.f64 y) (sqrt.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 (sqrt.f64 y) (sqrt.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)))
	26.9b	(-.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)))
	25.2b	(-.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)))
	37.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (-.f64 (log.f64 (.f64 z t)) (log.f64 3)))))) (/.f64 a (.f64 b 3)))
	17.7b	(-.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)))
	15.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 1 (/.f64 3 (/.f64 a b))))
	37.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 z t) 3))) (sqrt.f64 (/.f64 (.f64 z t) 3))))) (.f64 (sin.f64 y) (sin.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 z t) 3))) (sqrt.f64 (/.f64 (.f64 z t) 3))))))) (/.f64 a (*.f64 b 3)))
	22.6b	(-.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 (/.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)))
	22.9b	(-.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)))
▶	15.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a b) 3))
	25.0b	(-.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 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)))
	20.9b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	18.6b	(fma.f64 a (/.f64 -1/3 b) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))
	24.9b	(-.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)))
	46.3b	(-.f64 (log.f64 (exp.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	18.7b	(-.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)))
	42.6b	(-.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)))
	26.8b	(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (/.f64 a (.f64 b 3)))

Compiler

Compiled 5484 to 3456 computations (37% saved)

localize12.0ms (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))
	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
✓	0.3b	(/.f64 (/.f64 a b) 3)

series44.0ms (0.2%)

Counts

2 → 61

Calls

2 calls:

36.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a b) 3))
8.0ms	(/.f64 (/.f64 a b) 3)

rewrite40.0ms (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:

15.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a b) 3))
4.0ms	(/.f64 (/.f64 a b) 3)

simplify157.0ms (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

prune843.0ms (4.6%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	311	2	313
Fresh	2	25	27
Picked	1	0	1
Done	0	0	0
Total	314	27	341

Error

9.9b

Counts

341 → 27

Alt Table

Status	Error	Program
	37.7b	(-.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)))
	33.9b	(*.f64 -1/3 (/.f64 a b))
	18.7b	(-.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)))
	18.3b	(-.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)))
	23.0b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	15.8b	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (.f64 b 3)))) (cbrt.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (.f64 b 3))))) (cbrt.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))))
	15.1b	(-.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)))
	17.7b	(-.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)))
	42.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (sqrt.f64 y) (sqrt.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 (sqrt.f64 y) (sqrt.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)))
	26.9b	(-.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)))
	25.2b	(-.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)))
	37.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (-.f64 (log.f64 (.f64 z t)) (log.f64 3)))))) (/.f64 a (.f64 b 3)))
	17.7b	(-.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)))
▶	15.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 1 (/.f64 3 (/.f64 a b))))
	37.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 z t) 3))) (sqrt.f64 (/.f64 (.f64 z t) 3))))) (.f64 (sin.f64 y) (sin.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 z t) 3))) (sqrt.f64 (/.f64 (.f64 z t) 3))))))) (/.f64 a (*.f64 b 3)))
	22.6b	(-.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 (/.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)))
	22.9b	(-.f64 (cbrt.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3))) (/.f64 (/.f64 a b) 3))
	15.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 (sqrt.f64 3)) (/.f64 (/.f64 a b) (sqrt.f64 3))))
	25.0b	(-.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 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)))
	20.9b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	18.6b	(fma.f64 a (/.f64 -1/3 b) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))
	24.9b	(-.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)))
	46.3b	(-.f64 (log.f64 (exp.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	18.7b	(-.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)))
	42.6b	(-.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)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z (sqrt.f64 3)) (/.f64 t (sqrt.f64 3)))))) (/.f64 a (.f64 b 3)))
	26.8b	(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (/.f64 a (.f64 b 3)))

Compiler

Compiled 11980 to 6593 computations (45% 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 1 (/.f64 3 (/.f64 a b))))
	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
✓	0.2b	(/.f64 3 (/.f64 a b))
✓	0.3b	(/.f64 1 (/.f64 3 (/.f64 a b)))

series48.0ms (0.3%)

Counts

3 → 85

Calls

3 calls:

34.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 1 (/.f64 3 (/.f64 a b))))
7.0ms	(/.f64 1 (/.f64 3 (/.f64 a b)))
7.0ms	(/.f64 3 (/.f64 a b))

rewrite148.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

1131×	`times-frac_binary64`
530×	`*-un-lft-identity_binary64`
530×	`add-sqr-sqrt_binary64`
530×	`add-cube-cbrt_binary64`
137×	`cancel-sign-sub-inv_binary64`

Counts

3 → 566

Calls

3 calls:

38.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 1 (/.f64 3 (/.f64 a b))))
9.0ms	(/.f64 1 (/.f64 3 (/.f64 a b)))
4.0ms	(/.f64 3 (/.f64 a b))

simplify485.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

803×	`fma-def_binary64`
406×	`associate-/r/_binary64`
385×	`associate-*r/_binary64`
294×	`associate-*l/_binary64`
224×	`associate-/r*_binary64`

Counts

651 → 792

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	602	23062
1	1646	17859
2	4888	17853
3	5364	17853

prune2.1s (11.7%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	827	0	827
Fresh	0	26	26
Picked	0	1	1
Done	0	0	0
Total	827	27	854

Error

9.9b

Counts

854 → 27

Alt Table

Status	Error	Program
	37.7b	(-.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)))
	33.9b	(*.f64 -1/3 (/.f64 a b))
	18.7b	(-.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)))
	18.3b	(-.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)))
	23.0b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	15.8b	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (.f64 b 3)))) (cbrt.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (.f64 b 3))))) (cbrt.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))))
	15.1b	(-.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)))
	17.7b	(-.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)))
	42.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 (fma.f64 (sqrt.f64 y) (sqrt.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 (sqrt.f64 y) (sqrt.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)))
	26.9b	(-.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)))
	25.2b	(-.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)))
	37.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (-.f64 (log.f64 (.f64 z t)) (log.f64 3)))))) (/.f64 a (.f64 b 3)))
	17.7b	(-.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)))
✓	15.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 1 (/.f64 3 (/.f64 a b))))
	37.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 z t) 3))) (sqrt.f64 (/.f64 (.f64 z t) 3))))) (.f64 (sin.f64 y) (sin.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 z t) 3))) (sqrt.f64 (/.f64 (.f64 z t) 3))))))) (/.f64 a (*.f64 b 3)))
	22.6b	(-.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 (/.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)))
	22.9b	(-.f64 (cbrt.f64 (.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3))) (/.f64 (/.f64 a b) 3))
	15.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 (sqrt.f64 3)) (/.f64 (/.f64 a b) (sqrt.f64 3))))
	25.0b	(-.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 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)))
	20.9b	(-.f64 (expm1.f64 (log1p.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	18.6b	(fma.f64 a (/.f64 -1/3 b) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))
	24.9b	(-.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)))
	46.3b	(-.f64 (log.f64 (exp.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	18.7b	(-.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)))
	42.6b	(-.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)))
	18.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (/.f64 z (sqrt.f64 3)) (/.f64 t (sqrt.f64 3)))))) (/.f64 a (.f64 b 3)))
	26.8b	(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (/.f64 a (.f64 b 3)))

Compiler

Compiled 30773 to 18119 computations (41.1% saved)

regimes7.0s (38.6%)

Accuracy

Total 2.2b remaining (14.7%)

Threshold costs 0b (0%)

Counts

183 → 2

Compiler

Compiled 122726 to 89665 computations (26.9% saved)

bsearch12.0ms (0.1%)

Compiler: Compiled 25 to 19 computations (24% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
17×	`+-commutative_binary64`
17×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	141
1	76	141
2	111	141
3	137	141
4	150	141
5	153	141
6	151	141

end12.0ms (0.1%)

Remove: (sort z t)
Compiler: Compiled 294 to 210 computations (28.6% saved)

sample4.0s (22%)

Algorithm

1×

intervals

Results

825.0ms	1598×	body	1024	valid
625.0ms	713×	body	2048	valid
506.0ms	4587×	body	128	valid
257.0ms	769×	body	512	valid
227.0ms	2281×	body	128	nan
114.0ms	1106×	body	128	invalid
79.0ms	333×	body	256	valid

Compiler

Compiled 1593 to 1115 computations (30% saved)

Details

analyze1.4s (7.8%)

sample184.0ms (1%)

simplify59.0ms (0.3%)

prune5.0ms (0%)

localize16.0ms (0.1%)

series72.0ms (0.4%)

rewrite29.0ms (0.2%)

simplify173.0ms (1%)

prune729.0ms (4%)

localize12.0ms (0.1%)

series52.0ms (0.3%)

rewrite13.0ms (0.1%)

simplify84.0ms (0.5%)

prune381.0ms (2.1%)

localize12.0ms (0.1%)

series44.0ms (0.2%)

rewrite40.0ms (0.2%)

simplify157.0ms (0.9%)

prune843.0ms (4.6%)

localize11.0ms (0.1%)

series48.0ms (0.3%)

rewrite148.0ms (0.8%)

simplify485.0ms (2.7%)

prune2.1s (11.7%)

regimes7.0s (38.6%)

bsearch12.0ms (0.1%)

simplify8.0ms (0%)

end12.0ms (0.1%)

sample4.0s (22%)

Profiling