Details

analyze1.6s (10.5%)

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 (27.8%)

Symmetry

(sort z t)

Results

1.2s	1603×	body	1024	valid
904.0ms	4789×	body	128	valid
874.0ms	754×	body	2048	valid
672.0ms	3447×	body	128	invalid
370.0ms	771×	body	512	valid
129.0ms	339×	body	256	valid

Compiler

Compiled 77 to 59 computations (23.4% saved)

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

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

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

19.8b

Counts

3 → 2

Alt Table

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

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)))

series76.0ms (0.5%)

Counts

4 → 120

Calls

4 calls:

48.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
14.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
9.0ms	(/.f64 a (*.f64 b 3))
4.0ms	(/.f64 (*.f64 z t) 3)

rewrite43.0ms (0.3%)

Algorithm

2×	batch-egg-rewrite

Rules

107× egg-rr

Counts

4 → 107

Calls

2 calls:

41.0ms	((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)) (/.f64 (.f64 z t) 3))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	392	46
2	4880	46
0	0	0
1	0	0

simplify129.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

769×	`distribute-rgt-neg-in_binary64`
696×	`associate-l_binary64`
521×	`neg-mul-1_binary64`
410×	`fma-def_binary64`
392×	`cancel-sign-sub-inv_binary64`

Counts

227 → 144

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	91	1991
1	307	1933
2	961	1770
3	3144	1770
4	4647	1770
5	5006	1770

prune409.0ms (2.7%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	115	29	144
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	116	30	146

Error

14.8b

Counts

146 → 30

Alt Table

Status	Error	Program
	20.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (pow.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) 2))))) (/.f64 a (.f64 b 3)))
	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3)))) (.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3))) (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3))))) (-.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
	20.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	49.0b	(-.f64 (log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 y (/.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 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) 3) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3))) 3)) (+.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3)))) (-.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3))) (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3)))) (.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3)))))))) (/.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)))
	20.4b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x)))) 3) (/.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)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (/.f64 (.f64 3 b) a) -1))
	36.5b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.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))))
	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)))
	37.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (sqrt.f64 (/.f64 (.f64 z t) 3)) 2)))) (/.f64 a (.f64 b 3)))
	20.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (cbrt.f64 (/.f64 a (.f64 3 b))) (pow.f64 (cbrt.f64 (/.f64 a (.f64 3 b))) 2)))
	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)))
	20.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) 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 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (/.f64 1/3 b))))
	23.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) 2))) (/.f64 a (.f64 b 3)))
	32.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (pow.f64 (.f64 z t) 3) 27) 1/3)))) (/.f64 a (.f64 b 3)))
	30.6b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) 3)) (/.f64 a (.f64 b 3)))
▶	17.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	37.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (sqrt.f64 (.f64 z t)) (.f64 (sqrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	28.1b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) 3) (pow.f64 (.f64 2 (sqrt.f64 x)) 3))) (/.f64 a (.f64 b 3)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3))))) (/.f64 a (*.f64 b 3)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	33.5b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x))))) 1) (/.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 1 b) (/.f64 a 3)))
	22.8b	(-.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 (sin.f64 y) (.f64 t z)) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	25.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t z))) -1/18 (fma.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))

Compiler

Compiled 5799 to 3712 computations (36% saved)

localize17.0ms (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))

series57.0ms (0.4%)

Counts

2 → 49

Calls

2 calls:

38.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
18.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))

rewrite82.0ms (0.5%)

Algorithm

2×	batch-egg-rewrite

Rules

128× egg-rr

Counts

2 → 128

Calls

2 calls:

79.0ms	((.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3))))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	298	31
2	3727	31
3	4971	31
0	0	0
1	0	0

simplify112.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

718×	`distribute-rgt-neg-in_binary64`
472×	`cancel-sign-sub-inv_binary64`
432×	`associate-l_binary64`
428×	`fma-neg_binary64`
379×	`associate-r_binary64`

Counts

177 → 148

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	871
1	119	801
2	318	775
3	913	771
4	3073	771
5	4457	771
6	5000	771
7	4968	771

prune581.0ms (3.8%)

Pruning

38 alts after pruning (38 fresh and 0 done)

	Pruned	Kept	Total
New	172	15	187
Fresh	6	23	29
Picked	1	0	1
Done	0	0	0
Total	179	38	217

Error

14.7b

Counts

217 → 38

Alt Table

Status	Error	Program
	38.8b	(/.f64 1 (/.f64 (fma.f64 (/.f64 a (.f64 b 3)) (fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y) (/.f64 a (.f64 b 3))) (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (-.f64 (pow.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) 3) (pow.f64 (/.f64 a (.f64 b 3)) 3))))
	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3)))) (.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3))) (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3))))) (-.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
	17.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 3) (/.f64 (cbrt.f64 a) b)))
	27.5b	(.f64 (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (pow.f64 (/.f64 a (.f64 b 3)) 2)) (/.f64 1 (fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y) (/.f64 a (.f64 b 3)))))
	37.9b	(*.f64 -1/3 (/.f64 a b))
	20.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	49.0b	(-.f64 (log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 y (/.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 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) 3) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3))) 3)) (+.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3)))) (-.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3))) (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3)))) (.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3)))))))) (/.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)))
	25.2b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	20.4b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x)))) 3) (/.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)))
	26.7b	(-.f64 (exp.f64 (log.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.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)))
	62.0b	(log.f64 (exp.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))))
	22.8b	(-.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 (sin.f64 y) (.f64 t z)) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	17.4b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))) 3) (/.f64 a (*.f64 b 3)))
	37.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (sqrt.f64 (/.f64 (.f64 z t) 3)) 2)))) (/.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)))
	33.7b	(-.f64 (pow.f64 (pow.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) 3) 1/3) (/.f64 a (*.f64 b 3)))
	20.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) 3)))) (/.f64 a (.f64 b 3)))
	23.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) 2))) (/.f64 a (.f64 b 3)))
	17.3b	(fma.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (neg.f64 (/.f64 a (*.f64 b 3))))
	17.2b	(fma.f64 a (neg.f64 (/.f64 1/3 b)) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))
	17.2b	(fma.f64 (sqrt.f64 (.f64 2 (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (neg.f64 (/.f64 a (.f64 b 3))))
	32.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (pow.f64 (.f64 z t) 3) 27) 1/3)))) (/.f64 a (.f64 b 3)))
	30.6b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	17.4b	(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (.f64 2 (sqrt.f64 x))) (neg.f64 (/.f64 a (.f64 b 3))))
	17.5b	(fma.f64 (pow.f64 (cbrt.f64 (/.f64 a (.f64 b 3))) 2) (neg.f64 (cbrt.f64 (/.f64 a (.f64 b 3)))) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) 3)) (/.f64 a (.f64 b 3)))
	37.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (sqrt.f64 (.f64 z t)) (.f64 (sqrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	28.1b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) 3) (pow.f64 (.f64 2 (sqrt.f64 x)) 3))) (/.f64 a (.f64 b 3)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3))))) (/.f64 a (*.f64 b 3)))
	36.5b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
	33.5b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x))))) 1) (/.f64 a (.f64 b 3)))
▶	17.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (/.f64 (*.f64 3 b) a) -1))
	25.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t z))) -1/18 (fma.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))

Compiler

Compiled 6745 to 4426 computations (34.4% 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)) (pow.f64 (/.f64 (*.f64 3 b) a) -1))
	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
✓	0.2b	(/.f64 (*.f64 3 b) a)
✓	0.6b	(pow.f64 (/.f64 (*.f64 3 b) a) -1)

series77.0ms (0.5%)

Counts

3 → 85

Calls

3 calls:

51.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (/.f64 (*.f64 3 b) a) -1))
16.0ms	(pow.f64 (/.f64 (*.f64 3 b) a) -1)
10.0ms	(/.f64 (*.f64 3 b) a)

rewrite77.0ms (0.5%)

Algorithm

2×	batch-egg-rewrite

Rules

147× egg-rr

Counts

3 → 147

Calls

2 calls:

74.0ms	((pow.f64 (/.f64 (.f64 3 b) a) -1) (/.f64 (.f64 3 b) a) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (/.f64 (*.f64 3 b) a) -1)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	339	34
2	4074	34
3	5030	34
0	0	0
1	0	0

simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

657×	`distribute-rgt-neg-in_binary64`
598×	`distribute-lft-neg-in_binary64`
486×	`fma-def_binary64`
405×	`neg-mul-1_binary64`
391×	`associate-l_binary64`

Counts

232 → 161

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	1040
1	104	977
2	256	965
3	728	958
4	2784	958
5	4800	958
6	5130	958

prune441.0ms (2.9%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	181	2	183
Fresh	3	34	37
Picked	1	0	1
Done	0	0	0
Total	185	36	221

Error

14.7b

Counts

221 → 36

Alt Table

Status	Error	Program
	38.8b	(/.f64 1 (/.f64 (fma.f64 (/.f64 a (.f64 b 3)) (fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y) (/.f64 a (.f64 b 3))) (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (-.f64 (pow.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) 3) (pow.f64 (/.f64 a (.f64 b 3)) 3))))
	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3)))) (.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3))) (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3))))) (-.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
	27.5b	(.f64 (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (pow.f64 (/.f64 a (.f64 b 3)) 2)) (/.f64 1 (fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y) (/.f64 a (.f64 b 3)))))
	37.9b	(*.f64 -1/3 (/.f64 a b))
	20.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	49.0b	(-.f64 (log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 y (/.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 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) 3) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3))) 3)) (+.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3)))) (-.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3))) (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3)))) (.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3)))))))) (/.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)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3))))) (/.f64 a (*.f64 b 3)))
▶	17.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (*.f64 (/.f64 3 a) b) -1))
	25.2b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	20.4b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x)))) 3) (/.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)))
	17.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a b) 3))
	33.5b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x))))) 1) (/.f64 a (.f64 b 3)))
	26.7b	(-.f64 (exp.f64 (log.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.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)))
	62.0b	(log.f64 (exp.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))))
	22.8b	(-.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 (sin.f64 y) (.f64 t z)) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	17.4b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))) 3) (/.f64 a (*.f64 b 3)))
	37.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (sqrt.f64 (/.f64 (.f64 z t) 3)) 2)))) (/.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)))
	33.7b	(-.f64 (pow.f64 (pow.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) 3) 1/3) (/.f64 a (*.f64 b 3)))
	20.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) 3)))) (/.f64 a (.f64 b 3)))
	23.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) 2))) (/.f64 a (.f64 b 3)))
	17.3b	(fma.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (neg.f64 (/.f64 a (*.f64 b 3))))
	17.2b	(fma.f64 (sqrt.f64 (.f64 2 (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (neg.f64 (/.f64 a (.f64 b 3))))
	32.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (pow.f64 (.f64 z t) 3) 27) 1/3)))) (/.f64 a (.f64 b 3)))
	30.6b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	17.4b	(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (.f64 2 (sqrt.f64 x))) (neg.f64 (/.f64 a (.f64 b 3))))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) 3)) (/.f64 a (.f64 b 3)))
	37.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (sqrt.f64 (.f64 z t)) (.f64 (sqrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	28.1b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) 3) (pow.f64 (.f64 2 (sqrt.f64 x)) 3))) (/.f64 a (.f64 b 3)))
	36.5b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
	25.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t z))) -1/18 (fma.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))

Compiler

Compiled 5834 to 3868 computations (33.7% 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)) (pow.f64 (*.f64 (/.f64 3 a) b) -1))
	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
✓	0.2b	(*.f64 (/.f64 3 a) b)
✓	0.6b	(pow.f64 (*.f64 (/.f64 3 a) b) -1)

series72.0ms (0.5%)

Counts

3 → 85

Calls

3 calls:

48.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (*.f64 (/.f64 3 a) b) -1))
17.0ms	(pow.f64 (*.f64 (/.f64 3 a) b) -1)
7.0ms	(*.f64 (/.f64 3 a) b)

rewrite81.0ms (0.5%)

Algorithm

2×	batch-egg-rewrite

Rules

105× egg-rr

Counts

3 → 105

Calls

2 calls:

77.0ms	((pow.f64 (.f64 (/.f64 3 a) b) -1) (.f64 (/.f64 3 a) b) (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (*.f64 (/.f64 3 a) b) -1)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	343	34
2	4040	34
3	4978	34
0	0	0
1	0	0

simplify89.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

657×	`distribute-rgt-neg-in_binary64`
598×	`distribute-lft-neg-in_binary64`
486×	`fma-def_binary64`
405×	`neg-mul-1_binary64`
391×	`associate-l_binary64`

Counts

190 → 121

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	1040
1	104	977
2	256	965
3	728	958
4	2784	958
5	4800	958
6	5130	958

prune308.0ms (2%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	1	34	35
Picked	1	0	1
Done	0	0	0
Total	144	35	179

Error

14.7b

Counts

179 → 35

Alt Table

Status	Error	Program
	38.8b	(/.f64 1 (/.f64 (fma.f64 (/.f64 a (.f64 b 3)) (fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y) (/.f64 a (.f64 b 3))) (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (-.f64 (pow.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) 3) (pow.f64 (/.f64 a (.f64 b 3)) 3))))
	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3)))) (.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3))) (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3))))) (-.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
	27.5b	(.f64 (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (pow.f64 (/.f64 a (.f64 b 3)) 2)) (/.f64 1 (fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y) (/.f64 a (.f64 b 3)))))
	37.9b	(*.f64 -1/3 (/.f64 a b))
	20.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (pow.f64 (cbrt.f64 (.f64 z t)) 2) (.f64 (cbrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	49.0b	(-.f64 (log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 y (/.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 (pow.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) 3) (pow.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3))) 3)) (+.f64 (.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3)))) (-.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3))) (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3)))) (.f64 (.f64 (cos.f64 y) (cos.f64 (/.f64 (.f64 z t) 3))) (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3)))))))) (/.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)))
	25.2b	(-.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (.f64 (/.f64 3 a) b) -1))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	20.4b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x)))) 3) (/.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)))
	17.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a b) 3))
	33.5b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x))))) 1) (/.f64 a (.f64 b 3)))
	26.7b	(-.f64 (exp.f64 (log.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.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)))
	62.0b	(log.f64 (exp.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))))
	22.8b	(-.f64 (+.f64 (.f64 2 (.f64 (cos.f64 y) (sqrt.f64 x))) (.f64 2/3 (.f64 (.f64 (sin.f64 y) (.f64 t z)) (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
	17.4b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))) 3) (/.f64 a (*.f64 b 3)))
	37.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (sqrt.f64 (/.f64 (.f64 z t) 3)) 2)))) (/.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)))
	33.7b	(-.f64 (pow.f64 (pow.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) 3) 1/3) (/.f64 a (*.f64 b 3)))
	20.4b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) 3)))) (/.f64 a (.f64 b 3)))
	23.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) 2))) (/.f64 a (.f64 b 3)))
	17.3b	(fma.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (neg.f64 (/.f64 a (*.f64 b 3))))
	17.2b	(fma.f64 (sqrt.f64 (.f64 2 (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (neg.f64 (/.f64 a (.f64 b 3))))
	32.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (pow.f64 (/.f64 (pow.f64 (.f64 z t) 3) 27) 1/3)))) (/.f64 a (.f64 b 3)))
	30.6b	(-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x))))) (/.f64 a (.f64 b 3)))
	17.4b	(fma.f64 (.f64 (cos.f64 y) (cbrt.f64 (.f64 x 4))) (cbrt.f64 (.f64 2 (sqrt.f64 x))) (neg.f64 (/.f64 a (.f64 b 3))))
	20.2b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) 3)) (/.f64 a (.f64 b 3)))
	37.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 (sqrt.f64 (.f64 z t)) (.f64 (sqrt.f64 (.f64 z t)) 1/3))))) (/.f64 a (*.f64 b 3)))
	28.1b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) 3) (pow.f64 (.f64 2 (sqrt.f64 x)) 3))) (/.f64 a (.f64 b 3)))
	20.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 t (.f64 z 1/3))))) (/.f64 a (*.f64 b 3)))
	36.5b	(-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x))) 3) 1/3) (/.f64 a (.f64 b 3)))
	25.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 (.f64 (cos.f64 y) (.f64 (.f64 t z) (.f64 t z))) -1/18 (fma.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))

Compiler

Compiled 3883 to 2522 computations (35.1% saved)

regimes5.9s (38.9%)

Accuracy

Total 1.7b remaining (10.6%)

Threshold costs 0b (0%)

Counts

191 → 3

Compiler

Compiled 90276 to 68642 computations (24% saved)

bsearch8.0ms (0.1%)

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

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
7×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	131
1	64	131
2	74	131
3	82	131
4	86	131
5	87	131
6	87	131

end612.0ms (4%)

Remove: (sort z t)
Compiler: Compiled 1452 to 1032 computations (28.9% saved)

Details

analyze1.6s (10.5%)

sample4.2s (27.8%)

simplify65.0ms (0.4%)

prune4.0ms (0%)

localize14.0ms (0.1%)

series76.0ms (0.5%)

rewrite43.0ms (0.3%)

simplify129.0ms (0.8%)

prune409.0ms (2.7%)

localize17.0ms (0.1%)

series57.0ms (0.4%)

rewrite82.0ms (0.5%)

simplify112.0ms (0.7%)

prune581.0ms (3.8%)

localize12.0ms (0.1%)

series77.0ms (0.5%)

rewrite77.0ms (0.5%)

simplify104.0ms (0.7%)

prune441.0ms (2.9%)

localize13.0ms (0.1%)

series72.0ms (0.5%)

rewrite81.0ms (0.5%)

simplify89.0ms (0.6%)

prune308.0ms (2%)

regimes5.9s (38.9%)

bsearch8.0ms (0.1%)

simplify6.0ms (0%)

end612.0ms (4%)

Profiling