Details

analyze1.4s (8.1%)

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)

sample4.1s (23.5%)

Symmetry

(sort z t)

Results

1.2s	1641×	body	1024	valid
851.0ms	4766×	body	128	valid
808.0ms	745×	body	2048	valid
657.0ms	3485×	body	128	invalid
366.0ms	751×	body	512	valid
124.0ms	351×	body	256	valid
5.0ms	2×	body	4096	valid

Compiler

Compiled 77 to 59 computations (23.4% saved)

simplify60.0ms (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

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

19.4b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (/.f64 a (.f64 b 3)))
	19.6b	(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)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 a (*.f64 b 3))
✓	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
✓	0.2b	(/.f64 (*.f64 z t) 3)
✓	22.5b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

series70.0ms (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)))
6.0ms	(/.f64 a (*.f64 b 3))
4.0ms	(/.f64 (*.f64 z t) 3)

rewrite46.0ms (0.3%)

Algorithm

2×	batch-egg-rewrite

Rules

199×	`add-sqr-sqrt_binary64`
188×	`log1p-expm1-u_binary64`
188×	`expm1-log1p-u_binary64`
186×	`add-log-exp_binary64`
185×	`add-exp-log_binary64`

Counts

4 → 107

Calls

4 calls:

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

Iterations

Useful iterations: 0 (0.0ms)

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

simplify125.0ms (0.7%)

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

prune559.0ms (3.2%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	117	27	144
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	118	28	146

Error

12.2b

Counts

146 → 28

Alt Table

Status	Error	Program
	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 b) (/.f64 a 3)))
	32.7b	(-.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)))
	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) 2))) (/.f64 a (.f64 b 3)))
	19.9b	(-.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)))
	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	35.7b	(-.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)))
	19.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.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)))
	26.6b	(-.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)))
	26.2b	(-.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)))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))))))) (/.f64 a (.f64 b 3)))
	22.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)) (cos.f64 y))) (/.f64 a (*.f64 b 3)))
	25.4b	(-.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)))
▶	14.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	19.6b	(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 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (/.f64 (.f64 3 b) a) -1))
	25.4b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) 2) (.f64 x 4))) (/.f64 a (.f64 b 3)))
	34.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (pow.f64 (sqrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) 2)) (/.f64 a (.f64 b 3)))
	19.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) b) (/.f64 (cbrt.f64 a) 3)))
	32.8b	(-.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)))
	19.1b	(-.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)))
	24.6b	(-.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)))
	29.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	37.7b	(-.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)))
	19.4b	(-.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)))
	34.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (-.f64 (exp.f64 (log1p.f64 (/.f64 a (.f64 3 b)))) 1))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) 3))) (/.f64 a (.f64 b 3)))
	33.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (cbrt.f64 (pow.f64 (/.f64 a (.f64 3 b)) 3)))
	19.8b	(-.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)))

Compiler

Compiled 5587 to 3578 computations (36% saved)

localize25.0ms (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))

series100.0ms (0.6%)

Counts

2 → 49

Calls

2 calls:

70.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
29.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))

rewrite123.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

344×	`fma-def_binary64`
266×	`expm1-udef_binary64`
266×	`log1p-udef_binary64`
185×	`fma-neg_binary64`
148×	`add-sqr-sqrt_binary64`

Counts

2 → 128

Calls

2 calls:

116.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
116.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))

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

simplify184.0ms (1.1%)

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

prune850.0ms (4.9%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	168	19	187
Fresh	10	17	27
Picked	1	0	1
Done	0	0	0
Total	179	36	215

Error

11.8b

Counts

215 → 36

Alt Table

Status	Error	Program
	14.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	14.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (/.f64 (*.f64 3 b) a) -1))
	32.7b	(-.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)))
	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (cbrt.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 y)) (sqrt.f64 (pow.f64 (/.f64 a (*.f64 3 b)) 2)))
	37.7b	(-.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)))
	14.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) b) (/.f64 (cbrt.f64 a) 3)))
	19.4b	(-.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)))
	33.7b	(*.f64 -1/3 (/.f64 a b))
	34.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (-.f64 (exp.f64 (log1p.f64 (/.f64 a (.f64 3 b)))) 1))
▶	14.0b	(fma.f64 a (neg.f64 (/.f64 1/3 b)) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))
	29.2b	(-.f64 (exp.f64 (log.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	34.7b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	19.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.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)))
	26.6b	(-.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)))
	14.5b	(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)))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) 3))) (/.f64 a (.f64 b 3)))
	14.2b	(fma.f64 (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))) (cbrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (neg.f64 (/.f64 a (*.f64 b 3))))
	23.4b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))))))) (/.f64 a (.f64 b 3)))
	22.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)) (cos.f64 y))) (/.f64 a (*.f64 b 3)))
	14.2b	(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))))
	37.0b	(/.f64 (fma.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3) (pow.f64 (neg.f64 (/.f64 a (.f64 b 3))) 3)) (fma.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2) (-.f64 (.f64 (neg.f64 (/.f64 a (.f64 b 3))) (neg.f64 (/.f64 a (.f64 b 3)))) (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (neg.f64 (/.f64 a (.f64 b 3)))))))
	21.4b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) 3)) (/.f64 a (*.f64 b 3)))
	14.1b	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) (.f64 2 (sqrt.f64 x))) (neg.f64 (/.f64 a (*.f64 b 3))))
	25.4b	(-.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)))
	19.6b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
	25.4b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) 2) (.f64 x 4))) (/.f64 a (.f64 b 3)))
	25.3b	(/.f64 1 (/.f64 (fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y) (/.f64 a (.f64 b 3))) (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (pow.f64 (/.f64 a (*.f64 b 3)) 2))))
	19.8b	(-.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)))
	31.4b	(-.f64 (pow.f64 (pow.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) 3) 1/3) (/.f64 a (*.f64 b 3)))
	19.1b	(-.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)))
	37.2b	(fma.f64 (-.f64 (pow.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) 3) (pow.f64 (/.f64 a (.f64 b 3)) 3)) (/.f64 1 (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)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 a (.f64 b 3)))) (pow.f64 (cbrt.f64 (/.f64 a (.f64 b 3))) 2) (/.f64 a (*.f64 b 3))))
	24.6b	(-.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)))
	29.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))

Compiler

Compiled 6615 to 4342 computations (34.4% saved)

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 a (neg.f64 (/.f64 1/3 b)) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))
	0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
✓	0.3b	(/.f64 1/3 b)

series71.0ms (0.4%)

Counts

2 → 37

Calls

2 calls:

68.0ms	(fma.f64 a (neg.f64 (/.f64 1/3 b)) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))
3.0ms	(/.f64 1/3 b)

rewrite84.0ms (0.5%)

Algorithm

2×	batch-egg-rewrite

Rules

625×	`log-prod_binary64`
275×	`prod-diff_binary64`
239×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`
212×	`log-pow_binary64`

Counts

2 → 67

Calls

2 calls:

82.0ms	(fma.f64 a (neg.f64 (/.f64 1/3 b)) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))
82.0ms	(/.f64 1/3 b)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	290	22
2	3123	22
3	5669	22
0	0	0
1	0	0

simplify123.0ms (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

104 → 80

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	704
1	99	641
2	250	629
3	718	622
4	2773	622
5	4789	622
6	5119	622

prune422.0ms (2.4%)

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	2	33	35
Picked	0	1	1
Done	0	0	0
Total	102	36	138

Error

11.8b

Counts

138 → 36

Alt Table

Status	Error	Program
	14.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
▶	14.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (/.f64 (*.f64 3 b) a) -1))
	32.7b	(-.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)))
	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) 2))) (/.f64 a (.f64 b 3)))
	14.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) b) (/.f64 (cbrt.f64 a) 3)))
	19.4b	(-.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)))
	50.9b	(exp.f64 (log.f64 (fma.f64 (/.f64 1/3 b) a (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))))
	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	33.7b	(*.f64 -1/3 (/.f64 a b))
	34.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (-.f64 (exp.f64 (log1p.f64 (/.f64 a (.f64 3 b)))) 1))
✓	14.0b	(fma.f64 a (neg.f64 (/.f64 1/3 b)) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))
	34.7b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	19.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.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)))
	26.6b	(-.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)))
	14.5b	(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)))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) 3))) (/.f64 a (.f64 b 3)))
	14.2b	(fma.f64 (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))) (cbrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (neg.f64 (/.f64 a (*.f64 b 3))))
	23.4b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))))))) (/.f64 a (.f64 b 3)))
	22.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)) (cos.f64 y))) (/.f64 a (*.f64 b 3)))
	14.2b	(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))))
	37.0b	(/.f64 (fma.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3) (pow.f64 (neg.f64 (/.f64 a (.f64 b 3))) 3)) (fma.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2) (-.f64 (.f64 (neg.f64 (/.f64 a (.f64 b 3))) (neg.f64 (/.f64 a (.f64 b 3)))) (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (neg.f64 (/.f64 a (.f64 b 3)))))))
	21.4b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) 3)) (/.f64 a (*.f64 b 3)))
	14.1b	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) (.f64 2 (sqrt.f64 x))) (neg.f64 (/.f64 a (*.f64 b 3))))
	25.4b	(-.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)))
	62.9b	(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 1/3 b) a (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))))) (cbrt.f64 (exp.f64 (fma.f64 (/.f64 1/3 b) a (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 1/3 b) a (.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))))))
	25.4b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) 2) (.f64 x 4))) (/.f64 a (.f64 b 3)))
	19.6b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
	25.3b	(/.f64 1 (/.f64 (fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y) (/.f64 a (.f64 b 3))) (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (pow.f64 (/.f64 a (*.f64 b 3)) 2))))
	19.8b	(-.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)))
	31.4b	(-.f64 (pow.f64 (pow.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) 3) 1/3) (/.f64 a (*.f64 b 3)))
	19.1b	(-.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)))
	37.2b	(fma.f64 (-.f64 (pow.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) 3) (pow.f64 (/.f64 a (.f64 b 3)) 3)) (/.f64 1 (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)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 a (.f64 b 3)))) (pow.f64 (cbrt.f64 (/.f64 a (.f64 b 3))) 2) (/.f64 a (*.f64 b 3))))
	24.6b	(-.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)))
	29.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	37.7b	(-.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)))

Compiler

Compiled 4055 to 2764 computations (31.8% saved)

localize26.0ms (0.2%)

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))
✓	0.3b	(/.f64 (*.f64 3 b) a)
✓	0.5b	(pow.f64 (/.f64 (*.f64 3 b) a) -1)

series125.0ms (0.7%)

Counts

3 → 85

Calls

3 calls:

83.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (/.f64 (*.f64 3 b) a) -1))
30.0ms	(pow.f64 (/.f64 (*.f64 3 b) a) -1)
12.0ms	(/.f64 (*.f64 3 b) a)

rewrite119.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

292×	`expm1-udef_binary64`
292×	`log1p-udef_binary64`
191×	`fma-neg_binary64`
166×	`add-sqr-sqrt_binary64`
158×	`log1p-expm1-u_binary64`

Counts

3 → 147

Calls

3 calls:

112.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (/.f64 (*.f64 3 b) a) -1))
112.0ms	(/.f64 (*.f64 3 b) a)
112.0ms	(pow.f64 (/.f64 (*.f64 3 b) a) -1)

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

simplify139.0ms (0.8%)

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

prune732.0ms (4.2%)

Pruning

35 alts after pruning (34 fresh and 1 done)

	Pruned	Kept	Total
New	179	4	183
Fresh	4	30	34
Picked	1	0	1
Done	0	1	1
Total	184	35	219

Error

11.8b

Counts

219 → 35

Alt Table

Status	Error	Program
	32.7b	(-.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)))
	19.7b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) 2))) (/.f64 a (.f64 b 3)))
	50.9b	(exp.f64 (log.f64 (fma.f64 (/.f64 1/3 b) a (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))))
	19.5b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	33.7b	(*.f64 -1/3 (/.f64 a b))
	34.3b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (-.f64 (exp.f64 (log1p.f64 (/.f64 a (.f64 3 b)))) 1))
	34.7b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	21.4b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) 3)) (pow.f64 (/.f64 (*.f64 3 b) a) -1))
✓	14.0b	(fma.f64 a (neg.f64 (/.f64 1/3 b)) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))
	19.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.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)))
	26.6b	(-.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)))
	14.2b	(fma.f64 (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))) (cbrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (neg.f64 (/.f64 a (*.f64 b 3))))
	23.4b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))))))) (/.f64 a (.f64 b 3)))
	22.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (fma.f64 1/3 (.f64 (.f64 t z) (sin.f64 y)) (cos.f64 y))) (/.f64 a (*.f64 b 3)))
	14.2b	(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))))
	37.0b	(/.f64 (fma.f64 8 (pow.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) 3) (pow.f64 (neg.f64 (/.f64 a (.f64 b 3))) 3)) (fma.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2) (-.f64 (.f64 (neg.f64 (/.f64 a (.f64 b 3))) (neg.f64 (/.f64 a (.f64 b 3)))) (.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (neg.f64 (/.f64 a (.f64 b 3)))))))
	14.1b	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) (.f64 2 (sqrt.f64 x))) (neg.f64 (/.f64 a (*.f64 b 3))))
	25.4b	(-.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)))
	62.9b	(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 1/3 b) a (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))))) (cbrt.f64 (exp.f64 (fma.f64 (/.f64 1/3 b) a (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 1/3 b) a (.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)))))))
	25.4b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) 2) (.f64 x 4))) (/.f64 a (.f64 b 3)))
	19.6b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
	25.3b	(/.f64 1 (/.f64 (fma.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y) (/.f64 a (.f64 b 3))) (-.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2)) (pow.f64 (/.f64 a (*.f64 b 3)) 2))))
	19.8b	(-.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)))
	19.1b	(-.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)))
	14.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a b) 3))
	31.4b	(-.f64 (pow.f64 (pow.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) 3) 1/3) (/.f64 a (*.f64 b 3)))
	37.2b	(fma.f64 (-.f64 (pow.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) 3) (pow.f64 (/.f64 a (.f64 b 3)) 3)) (/.f64 1 (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)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 a (.f64 b 3)))) (pow.f64 (cbrt.f64 (/.f64 a (.f64 b 3))) 2) (/.f64 a (*.f64 b 3))))
	24.6b	(-.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)))
	29.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	37.7b	(-.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)))
	19.4b	(-.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)))
	42.4b	(-.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 2) (sqrt.f64 x)) (cos.f64 y))) (pow.f64 (/.f64 (*.f64 3 b) a) -1))
	19.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) 3))) (/.f64 a (.f64 b 3)))
	13.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a 3) b))

Compiler

Compiled 4708 to 3041 computations (35.4% saved)

regimes7.1s (41.3%)

Accuracy

Total 1.6b remaining (9.7%)

Threshold costs 0b (0%)

Counts

220 → 3

Compiler

Compiled 103584 to 79357 computations (23.4% saved)

bsearch11.0ms (0.1%)

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

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	106
1	66	106
2	74	106
3	78	106
4	79	106
5	76	106

end637.0ms (3.7%)

Remove: (sort z t)
Compiler: Compiled 1396 to 1003 computations (28.2% saved)

Details

analyze1.4s (8.1%)

sample4.1s (23.5%)

simplify60.0ms (0.3%)

prune4.0ms (0%)

localize14.0ms (0.1%)

series70.0ms (0.4%)

rewrite46.0ms (0.3%)

simplify125.0ms (0.7%)

prune559.0ms (3.2%)

localize25.0ms (0.1%)

series100.0ms (0.6%)

rewrite123.0ms (0.7%)

simplify184.0ms (1.1%)

prune850.0ms (4.9%)

localize22.0ms (0.1%)

series71.0ms (0.4%)

rewrite84.0ms (0.5%)

simplify123.0ms (0.7%)

prune422.0ms (2.4%)

localize26.0ms (0.2%)

series125.0ms (0.7%)

rewrite119.0ms (0.7%)

simplify139.0ms (0.8%)

prune732.0ms (4.2%)

regimes7.1s (41.3%)

bsearch11.0ms (0.1%)

simplify6.0ms (0%)

end637.0ms (3.7%)

Profiling