Details

analyze1.6s (11.6%)

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)

sample4.9s (34.9%)

Symmetry

(sort z t)

Results

1.5s	1763×	body	1024	valid
1.0s	751×	body	2048	valid
987.0ms	4637×	body	128	valid
696.0ms	3465×	body	128	invalid
411.0ms	772×	body	512	valid
119.0ms	329×	body	256	valid
14.0ms	4×	body	4096	valid

Compiler

Compiled 77 to 59 computations (23.4% saved)

simplify59.0ms (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

prune6.0ms (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

23.4b

Counts

3 → 2

Alt Table

Status	Error	Program
	23.8b	(fma.f64 a (/.f64 -1/3 b) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))
▶	23.7b	(-.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)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 a (*.f64 b 3))
✓	0.2b	(/.f64 (*.f64 z t) 3)
✓	0.3b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
✓	25.8b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

series63.0ms (0.5%)

Counts

4 → 120

Calls

4 calls:

42.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
10.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
7.0ms	(/.f64 a (*.f64 b 3))
4.0ms	(/.f64 (*.f64 z t) 3)

rewrite45.0ms (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 → 111

Calls

4 calls:

43.0ms	(/.f64 a (*.f64 b 3))
43.0ms	(/.f64 (*.f64 z t) 3)
43.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
43.0ms	(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

simplify96.0ms (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

231 → 148

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

prune315.0ms (2.3%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	120	28	148
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	122	28	150

Error

18.4b

Counts

150 → 28

Alt Table

Status	Error	Program
	23.5b	(-.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)))
	23.8b	(-.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)))
	23.7b	(-.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)))
	27.7b	(-.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)))
	23.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 1 b) (/.f64 a 3)))
	26.7b	(-.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)))
▶	20.9b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
	23.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (pow.f64 (/.f64 (.f64 3 b) a) -1))
	22.9b	(-.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)))
	24.1b	(-.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)))
	26.7b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) 2) (.f64 x 4))) (/.f64 a (.f64 b 3)))
	22.9b	(-.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)))
	29.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	30.3b	(-.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)))
	40.0b	(-.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)))
	23.6b	(-.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)))
	35.8b	(-.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)))
	23.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	37.6b	(-.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)))
	22.9b	(-.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)))
	23.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))))) 1)) (/.f64 a (.f64 b 3)))
	24.1b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3)))) (.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (*.f64 3 b))))
	41.2b	(-.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)))
	24.1b	(-.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)))
	23.6b	(-.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)))
	23.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	31.3b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) (.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (.f64 b 3)))
	23.7b	(-.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)))

Compiler

Compiled 5777 to 3692 computations (36.1% saved)

localize9.0ms (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))

series47.0ms (0.3%)

Counts

2 → 49

Calls

2 calls:

33.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
14.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))

rewrite77.0ms (0.6%)

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 → 130

Calls

2 calls:

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

simplify114.0ms (0.8%)

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

179 → 150

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

prune462.0ms (3.3%)

Pruning

38 alts after pruning (38 fresh and 0 done)

	Pruned	Kept	Total
New	172	18	190
Fresh	7	20	27
Picked	1	0	1
Done	0	0	0
Total	180	38	218

Error

18.2b

Counts

218 → 38

Alt Table

Status	Error	Program
	37.2b	(*.f64 -1/3 (/.f64 a b))
	23.7b	(-.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)))
	27.7b	(-.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)))
	38.6b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	23.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	21.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (/.f64 (*.f64 3 b) a) -1))
	33.3b	(-.f64 (exp.f64 (log.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	42.5b	(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 (/.f64 1/3 b)) a (/.f64 a (*.f64 b 3))))
	61.5b	(log.f64 (exp.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))))
	28.8b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) 3)) (/.f64 a (*.f64 b 3)))
	22.9b	(-.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)))
	21.0b	(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))))
	26.7b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) 2) (.f64 x 4))) (/.f64 a (.f64 b 3)))
	22.9b	(-.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)))
	29.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	21.0b	(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))))
	24.3b	(-.f64 (sqrt.f64 (.f64 (.f64 x 4) (pow.f64 (cos.f64 y) 2))) (/.f64 a (*.f64 b 3)))
	21.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	21.0b	(fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (neg.f64 (/.f64 a (.f64 b 3))))
	51.9b	(pow.f64 (pow.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3))) 3) 1/3)
	30.3b	(-.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)))
	40.0b	(-.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)))
▶	21.0b	(fma.f64 a (neg.f64 (/.f64 1/3 b)) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))
	21.1b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))) 3) (/.f64 a (*.f64 b 3)))
	23.6b	(-.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)))
	35.8b	(-.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)))
	23.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	37.6b	(-.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)))
	22.9b	(-.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)))
	23.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))))) 1)) (/.f64 a (.f64 b 3)))
	33.7b	(.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)))))
	24.1b	(-.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)))
	23.6b	(-.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)))
	23.5b	(-.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)))
	26.7b	(-.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)))
	26.9b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	32.5b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) 1) (/.f64 a (*.f64 b 3)))
	41.2b	(-.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 6760 to 4437 computations (34.4% saved)

localize12.0ms (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)

series37.0ms (0.3%)

Counts

2 → 37

Calls

2 calls:

34.0ms	(fma.f64 a (neg.f64 (/.f64 1/3 b)) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))
3.0ms	(/.f64 1/3 b)

rewrite60.0ms (0.4%)

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 → 69

Calls

2 calls:

59.0ms	(fma.f64 a (neg.f64 (/.f64 1/3 b)) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))
59.0ms	(/.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

simplify81.0ms (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

106 → 82

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

prune238.0ms (1.7%)

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	102	3	105
Fresh	4	33	37
Picked	0	1	1
Done	0	0	0
Total	106	37	143

Error

18.2b

Counts

143 → 37

Alt Table

Status	Error	Program
	37.2b	(*.f64 -1/3 (/.f64 a b))
	23.7b	(-.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)))
	27.7b	(-.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)))
	38.6b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	23.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	26.9b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	46.7b	(fma.f64 a (neg.f64 (/.f64 1/3 b)) (log.f64 (pow.f64 (pow.f64 (exp.f64 2) (sqrt.f64 x)) (cos.f64 y))))
	62.1b	(+.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)))))))
▶	21.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (/.f64 (*.f64 3 b) a) -1))
	33.3b	(-.f64 (exp.f64 (log.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	28.8b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) 3)) (/.f64 a (*.f64 b 3)))
	22.9b	(-.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)))
	21.0b	(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))))
	26.7b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) 2) (.f64 x 4))) (/.f64 a (.f64 b 3)))
	22.9b	(-.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)))
	29.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	21.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
	21.0b	(fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (neg.f64 (/.f64 a (.f64 b 3))))
	51.9b	(pow.f64 (pow.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3))) 3) 1/3)
	30.3b	(-.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)))
	40.0b	(-.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)))
✓	21.0b	(fma.f64 a (neg.f64 (/.f64 1/3 b)) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))
	21.1b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))) 3) (/.f64 a (*.f64 b 3)))
	35.8b	(-.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)))
	23.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	37.6b	(-.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)))
	22.9b	(-.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)))
	23.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))))) 1)) (/.f64 a (.f64 b 3)))
	41.2b	(-.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)))
	44.8b	(sqrt.f64 (pow.f64 (fma.f64 (/.f64 1/3 b) a (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))) 2))
	33.7b	(.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)))))
	24.1b	(-.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)))
	23.6b	(-.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)))
	23.5b	(-.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)))
	26.7b	(-.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)))
	42.5b	(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 (/.f64 1/3 b)) a (/.f64 a (*.f64 b 3))))
	21.0b	(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))))

Compiler

Compiled 4143 to 2814 computations (32.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (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)
✓	0.3b	(pow.f64 (/.f64 (*.f64 3 b) a) -1)

series70.0ms (0.5%)

Counts

3 → 85

Calls

3 calls:

45.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (/.f64 (*.f64 3 b) a) -1))
19.0ms	(pow.f64 (/.f64 (*.f64 3 b) a) -1)
6.0ms	(/.f64 (*.f64 3 b) a)

rewrite75.0ms (0.5%)

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 → 149

Calls

3 calls:

72.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (/.f64 (*.f64 3 b) a) -1))
72.0ms	(/.f64 (*.f64 3 b) a)
72.0ms	(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

simplify91.0ms (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

234 → 163

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

prune405.0ms (2.9%)

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	185	1	186
Fresh	1	34	35
Picked	1	0	1
Done	0	1	1
Total	187	36	223

Error

18.2b

Counts

223 → 36

Alt Table

Status	Error	Program
	37.2b	(*.f64 -1/3 (/.f64 a b))
	23.7b	(-.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)))
	27.7b	(-.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)))
	38.6b	(-.f64 (.f64 (sqrt.f64 x) (-.f64 2 (.f64 y y))) (/.f64 a (*.f64 b 3)))
	23.6b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (.f64 z (/.f64 1 (/.f64 3 t)))))) (/.f64 a (.f64 b 3)))
	21.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (pow.f64 (*.f64 (/.f64 3 a) b) -1))
	62.1b	(+.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)))))))
	26.9b	(-.f64 (.f64 2 (sqrt.f64 x)) (/.f64 a (.f64 b 3)))
	46.7b	(fma.f64 a (neg.f64 (/.f64 1/3 b)) (log.f64 (pow.f64 (pow.f64 (exp.f64 2) (sqrt.f64 x)) (cos.f64 y))))
	28.8b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) 3)) (/.f64 a (*.f64 b 3)))
	22.9b	(-.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)))
	21.0b	(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))))
	26.7b	(-.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))) 2) (.f64 x 4))) (/.f64 a (.f64 b 3)))
	22.9b	(-.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)))
	29.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (.f64 1/3 (.f64 t z)))) (/.f64 a (*.f64 b 3)))
	21.0b	(fma.f64 (cbrt.f64 (.f64 x 4)) (.f64 (cbrt.f64 (.f64 2 (sqrt.f64 x))) (cos.f64 y)) (neg.f64 (/.f64 a (.f64 b 3))))
	51.9b	(pow.f64 (pow.f64 (-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3))) 3) 1/3)
	30.3b	(-.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)))
	40.0b	(-.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)))
✓	21.0b	(fma.f64 a (neg.f64 (/.f64 1/3 b)) (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))
	21.1b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))) 3) (/.f64 a (*.f64 b 3)))
	35.8b	(-.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)))
	23.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 (.f64 z t) -1/3))) (.f64 (sin.f64 y) (sin.f64 (.f64 (.f64 z t) -1/3))))) (/.f64 a (*.f64 b 3)))
	37.6b	(-.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)))
	22.9b	(-.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)))
	23.8b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 y (/.f64 (.f64 z t) 3))))) 1)) (/.f64 a (.f64 b 3)))
	41.2b	(-.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)))
	44.8b	(sqrt.f64 (pow.f64 (fma.f64 (/.f64 1/3 b) a (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))) 2))
	33.7b	(.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)))))
	24.1b	(-.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)))
	23.6b	(-.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)))
	23.5b	(-.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)))
	26.7b	(-.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)))
	33.3b	(-.f64 (exp.f64 (log.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)))) (/.f64 a (*.f64 b 3)))
	42.5b	(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 (/.f64 1/3 b)) a (/.f64 a (*.f64 b 3))))
	21.0b	(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))))

Compiler

Compiled 4788 to 3089 computations (35.5% saved)

regimes4.1s (29.1%)

Accuracy

Total 1.8b remaining (10.4%)

Threshold costs 0b (0%)

Counts

175 → 3

Compiler

Compiled 78260 to 59950 computations (23.4% saved)

bsearch8.0ms (0.1%)

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

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
4×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	137
1	52	137
2	57	137
3	60	137
4	61	137
5	61	137

end997.0ms (7.2%)

Remove: (sort z t)
Compiler: Compiled 1505 to 1070 computations (28.9% saved)

Details

analyze1.6s (11.6%)

sample4.9s (34.9%)

simplify59.0ms (0.4%)

prune6.0ms (0%)

localize19.0ms (0.1%)

series63.0ms (0.5%)

rewrite45.0ms (0.3%)

simplify96.0ms (0.7%)

prune315.0ms (2.3%)

localize9.0ms (0.1%)

series47.0ms (0.3%)

rewrite77.0ms (0.6%)

simplify114.0ms (0.8%)

prune462.0ms (3.3%)

localize12.0ms (0.1%)

series37.0ms (0.3%)

rewrite60.0ms (0.4%)

simplify81.0ms (0.6%)

prune238.0ms (1.7%)

localize11.0ms (0.1%)

series70.0ms (0.5%)

rewrite75.0ms (0.5%)

simplify91.0ms (0.7%)

prune405.0ms (2.9%)

regimes4.1s (29.1%)

bsearch8.0ms (0.1%)

simplify5.0ms (0%)

end997.0ms (7.2%)

Profiling