Details

analyze1.7s (7.2%)

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 (18.1%)

Symmetry

(sort z t)

Results

1.2s	1603×	body	1024	valid
906.0ms	4789×	body	128	valid
856.0ms	754×	body	2048	valid
617.0ms	3447×	body	128	invalid
373.0ms	771×	body	512	valid
127.0ms	339×	body	256	valid

Compiler

Compiled 77 to 59 computations (23.4% saved)

simplify58.0ms (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

19.8b

Counts

3 → 2

Alt Table

Status	Error	Program
	20.2b	(fma.f64 a (/.f64 -1/3 b) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))
▶	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))

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 (*.f64 z t) 3)
✓	0.2b	(/.f64 a (*.f64 b 3))
✓	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
✓	20.6b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

series83.0ms (0.4%)

Counts

4 → 120

Calls

4 calls:

52.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
20.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
6.0ms	(/.f64 a (*.f64 b 3))
5.0ms	(/.f64 (*.f64 z t) 3)

rewrite30.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

8.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
7.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
3.0ms	(/.f64 (*.f64 z t) 3)
3.0ms	(/.f64 a (*.f64 b 3))

simplify163.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Counts

227 → 197

Iterations

Useful iterations: 3 (0.0ms)

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

prune638.0ms (2.8%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	170	27	197
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	171	28	199

Error

13.3b

Counts

199 → 28

Alt Table

Status	Error	Program
	20.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (cbrt.f64 (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	19.6b	(-.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)))
	28.1b	(-.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 2 (sqrt.f64 x))) (.f64 2 (sqrt.f64 x))) (.f64 (.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 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)))
	24.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (cbrt.f64 (.f64 (.f64 (/.f64 (.f64 z t) 3) (/.f64 (.f64 z t) 3)) (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	49.0b	(-.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)))
	26.9b	(-.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 (.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)))
	20.2b	(fma.f64 a (/.f64 -1/3 b) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))
	24.0b	(-.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)))
	30.6b	(-.f64 (exp.f64 (+.f64 (log.f64 (.f64 2 (sqrt.f64 x))) (log.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 (/.f64 a b) 3))
	30.6b	(-.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)))
▶	17.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	26.9b	(-.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 (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)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 1 (/.f64 3 (/.f64 a b))))
	20.3b	(-.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)))
	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	18.8b	(-.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)))
	20.4b	(-.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)))
	20.1b	(-.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)))
	27.1b	(-.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 (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)))
	20.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 a)) b) (/.f64 (cbrt.f64 a) 3)))
	20.7b	(-.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)))
	20.1b	(-.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)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	19.7b	(-.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)))
	29.3b	(-.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)))
	20.3b	(-.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)))

Compiler

Compiled 9701 to 6165 computations (36.4% saved)

localize11.0ms (0%)

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))

series50.0ms (0.2%)

Counts

2 → 49

Calls

2 calls:

36.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
14.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))

rewrite16.0ms (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)))
4.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))

simplify82.0ms (0.4%)

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

prune370.0ms (1.6%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	108	13	121
Fresh	10	17	27
Picked	1	0	1
Done	0	0	0
Total	119	30	149

Error

13.1b

Counts

149 → 30

Alt Table

Status	Error	Program
	25.5b	(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (/.f64 a (.f64 b 3)))
	19.6b	(-.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)))
	17.3b	(-.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)))
	24.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (cbrt.f64 (.f64 (.f64 (/.f64 (.f64 z t) 3) (/.f64 (.f64 z t) 3)) (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	49.0b	(-.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)))
	26.9b	(-.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 (.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)))
	24.0b	(-.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)))
	30.6b	(-.f64 (exp.f64 (+.f64 (log.f64 (.f64 2 (sqrt.f64 x))) (log.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
	17.4b	(-.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)))
	30.6b	(-.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)))
	26.7b	(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	26.9b	(-.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 (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)))
	62.0b	(log.f64 (exp.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))))
	27.8b	(/.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)))
	20.3b	(-.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)))
	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
▶	17.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 1 (/.f64 3 (/.f64 a b))))
	18.8b	(-.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)))
	20.4b	(-.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)))
	27.1b	(-.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 (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)))
	17.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 a (/.f64 1/3 b)))
	37.9b	(*.f64 -1/3 (/.f64 a b))
	25.2b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	39.0b	(/.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)))))
	20.7b	(-.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)))
	17.2b	(+.f64 (fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y) (neg.f64 (.f64 (/.f64 a 3) (/.f64 1 b)))) (fma.f64 (neg.f64 (/.f64 a 3)) (/.f64 1 b) (*.f64 (/.f64 a 3) (/.f64 1 b))))
	20.3b	(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))))) (/.f64 a (.f64 b 3)))
	19.6b	(-.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)))
	19.7b	(-.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)))
	17.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (.f64 (/.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) b) (/.f64 (cbrt.f64 a) 3)))

Compiler

Compiled 5238 to 3296 computations (37.1% saved)

localize13.0ms (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))
✓	0.3b	(/.f64 3 (/.f64 a b))
✓	0.6b	(/.f64 1 (/.f64 3 (/.f64 a b)))

series50.0ms (0.2%)

Counts

3 → 85

Calls

3 calls:

38.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 1 (/.f64 3 (/.f64 a b))))
6.0ms	(/.f64 1 (/.f64 3 (/.f64 a b)))
6.0ms	(/.f64 3 (/.f64 a b))

rewrite149.0ms (0.6%)

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:

35.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 1 (/.f64 3 (/.f64 a b))))
12.0ms	(/.f64 1 (/.f64 3 (/.f64 a b)))
4.0ms	(/.f64 3 (/.f64 a b))

simplify448.0ms (1.9%)

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

prune2.2s (9.4%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	825	2	827
Fresh	2	27	29
Picked	1	0	1
Done	0	0	0
Total	828	29	857

Error

13.1b

Counts

857 → 29

Alt Table

Status	Error	Program
	25.5b	(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (/.f64 a (.f64 b 3)))
	19.6b	(-.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)))
	17.3b	(-.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)))
	24.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (cbrt.f64 (.f64 (.f64 (/.f64 (.f64 z t) 3) (/.f64 (.f64 z t) 3)) (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	49.0b	(-.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)))
	26.9b	(-.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 (.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)))
	24.0b	(-.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)))
	30.6b	(-.f64 (exp.f64 (+.f64 (log.f64 (.f64 2 (sqrt.f64 x))) (log.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
	17.4b	(-.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)))
	30.6b	(-.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)))
	26.7b	(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	26.9b	(-.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 (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)))
	62.0b	(log.f64 (exp.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))))
	27.8b	(/.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)))
	20.3b	(-.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)))
	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	18.8b	(-.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)))
	20.4b	(-.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)))
	27.1b	(-.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 (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)))
	25.2b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	39.0b	(/.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)))))
	20.7b	(-.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)))
	17.2b	(+.f64 (fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y) (neg.f64 (.f64 (/.f64 a 3) (/.f64 1 b)))) (fma.f64 (neg.f64 (/.f64 a 3)) (/.f64 1 b) (*.f64 (/.f64 a 3) (/.f64 1 b))))
	20.3b	(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))))) (/.f64 a (.f64 b 3)))
	19.6b	(-.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)))
	17.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 1 (/.f64 3 a)) b))
	37.9b	(*.f64 -1/3 (/.f64 a b))
▶	17.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 -1 (*.f64 (/.f64 -3 a) b)))
	19.7b	(-.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)))

Compiler

Compiled 32000 to 18980 computations (40.7% saved)

localize12.0ms (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 (/.f64 -3 a) b)))
	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
✓	0.2b	(*.f64 (/.f64 -3 a) b)
✓	0.6b	(/.f64 -1 (*.f64 (/.f64 -3 a) b))

series48.0ms (0.2%)

Counts

3 → 85

Calls

3 calls:

33.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 -1 (*.f64 (/.f64 -3 a) b)))
8.0ms	(*.f64 (/.f64 -3 a) b)
6.0ms	(/.f64 -1 (*.f64 (/.f64 -3 a) b))

rewrite22.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
19×	`times-frac_binary64`
17×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`
17×	`add-cbrt-cube_binary64`

Counts

3 → 90

Calls

3 calls:

7.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 -1 (*.f64 (/.f64 -3 a) b)))
6.0ms	(*.f64 (/.f64 -3 a) b)
4.0ms	(/.f64 -1 (*.f64 (/.f64 -3 a) b))

simplify101.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

869×	`fma-neg_binary64`
259×	`log-prod_binary64`
210×	`distribute-rgt-neg-in_binary64`
183×	`associate-l_binary64`
168×	`associate-r_binary64`

Counts

175 → 153

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	221	2364
1	515	2184
2	2167	2110
3	4268	2106
4	4685	2106

prune482.0ms (2.1%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	187	1	188
Fresh	1	27	28
Picked	1	0	1
Done	0	0	0
Total	189	28	217

Error

13.1b

Counts

217 → 28

Alt Table

Status	Error	Program
	25.5b	(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (/.f64 a (.f64 b 3)))
	19.6b	(-.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)))
	17.3b	(-.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)))
	24.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (cbrt.f64 (.f64 (.f64 (/.f64 (.f64 z t) 3) (/.f64 (.f64 z t) 3)) (/.f64 (.f64 z t) 3)))))) (/.f64 a (.f64 b 3)))
	49.0b	(-.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)))
	26.9b	(-.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 (.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)))
	24.0b	(-.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)))
	30.6b	(-.f64 (exp.f64 (+.f64 (log.f64 (.f64 2 (sqrt.f64 x))) (log.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
	17.4b	(-.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)))
	30.6b	(-.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)))
	26.7b	(-.f64 (exp.f64 (log.f64 (.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y))))) (/.f64 a (*.f64 b 3)))
	26.9b	(-.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 (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)))
	62.0b	(log.f64 (exp.f64 (fma.f64 2 (.f64 (sqrt.f64 x) (cos.f64 y)) (.f64 -1/3 (/.f64 a b)))))
	27.8b	(/.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)))
	20.3b	(-.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)))
	27.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	18.8b	(-.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)))
	20.4b	(-.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)))
	27.1b	(-.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 (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)))
	39.0b	(/.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)))))
	20.7b	(-.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 2 (sqrt.f64 x)) (/.f64 -1 (.f64 (/.f64 -3 a) b)))
	19.7b	(-.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)))
	17.2b	(+.f64 (fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y) (neg.f64 (.f64 (/.f64 a 3) (/.f64 1 b)))) (fma.f64 (neg.f64 (/.f64 a 3)) (/.f64 1 b) (*.f64 (/.f64 a 3) (/.f64 1 b))))
	20.3b	(-.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))))) (/.f64 a (.f64 b 3)))
	19.6b	(-.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)))
	17.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 1 (/.f64 3 a)) b))
	37.9b	(*.f64 -1/3 (/.f64 a b))

Compiler

Compiled 5470 to 3479 computations (36.4% saved)

regimes11.5s (49.8%)

Accuracy

Total 2.6b remaining (16.8%)

Threshold costs 0b (0%)

Counts

316 → 3

Compiler

Compiled 188978 to 144824 computations (23.4% saved)

bsearch17.0ms (0.1%)

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

simplify7.0ms (0%)

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	45	159
1	76	159
2	110	159
3	139	159
4	154	159
5	158	159
6	157	159

end713.0ms (3.1%)

Remove: (sort z t)
Compiler: Compiled 1766 to 1221 computations (30.9% saved)

Details

analyze1.7s (7.2%)

sample4.2s (18.1%)

simplify58.0ms (0.3%)

prune5.0ms (0%)

localize14.0ms (0.1%)

series83.0ms (0.4%)

rewrite30.0ms (0.1%)

simplify163.0ms (0.7%)

prune638.0ms (2.8%)

localize11.0ms (0%)

series50.0ms (0.2%)

rewrite16.0ms (0.1%)

simplify82.0ms (0.4%)

prune370.0ms (1.6%)

localize13.0ms (0.1%)

series50.0ms (0.2%)

rewrite149.0ms (0.6%)

simplify448.0ms (1.9%)

prune2.2s (9.4%)

localize12.0ms (0.1%)

series48.0ms (0.2%)

rewrite22.0ms (0.1%)

simplify101.0ms (0.4%)

prune482.0ms (2.1%)

regimes11.5s (49.8%)

bsearch17.0ms (0.1%)

simplify7.0ms (0%)

end713.0ms (3.1%)

Profiling