Details

analyze1.8s (17.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	74.9%	25.1%	8
6.2%	68.6%	25.1%	9
7.8%	67.1%	25.1%	10
10.1%	64.7%	25.1%	11
14.8%	47.6%	37.6%	12
15.8%	36.8%	47.4%	13
16.6%	35.1%	48.3%	14

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample4.9s (47.5%)

Results

2.6s	10889×	body	128	invalid
2.2s	8256×	body	128	valid

Compiler

Compiled 65 to 50 computations (23.1% saved)

simplify129.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

898×	`fma-neg_binary64`
522×	`fma-def_binary64`
417×	`neg-sub0_binary64`
408×	`neg-mul-1_binary64`
378×	`prod-exp_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	29	25
2	51	25
3	102	25
4	219	25
5	464	25
6	1225	25
7	2416	25
8	3703	25
9	4714	25
10	4874	25
11	4224	25
12	4608	25
13	4555	25
14	4942	25

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.3b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))

Compiler

Compiled 77 to 57 computations (26% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (exp.f64 t))
✓	0.0b	(pow.f64 (sqrt.f64 (exp.f64 t)) t)
✓	0.0b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
✓	0.2b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))

series233.0ms (2.2%)

Counts

4 → 68

Calls

4 calls:

200.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
28.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))
2.0ms	(pow.f64 (sqrt.f64 (exp.f64 t)) t)
2.0ms	(sqrt.f64 (exp.f64 t))

rewrite81.0ms (0.8%)

Algorithm

2×	batch-egg-rewrite

Rules

571×	`prod-diff_binary64`
284×	`log1p-udef_binary64`
161×	`add-sqr-sqrt_binary64`
153×	`log1p-expm1-u_binary64`
153×	`expm1-log1p-u_binary64`

Counts

4 → 79

Calls

4 calls:

79.0ms	(sqrt.f64 (exp.f64 t))
79.0ms	(pow.f64 (sqrt.f64 (exp.f64 t)) t)
79.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
79.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	53
1	331	53
2	3816	53
3	5313	53
0	0	0
1	0	0

simplify124.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

714×	`associate-l_binary64`
667×	`fma-def_binary64`
347×	`sub-neg_binary64`
327×	`distribute-lft-neg-in_binary64`
326×	`distribute-rgt-neg-in_binary64`

Counts

147 → 112

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	2373
1	298	2025
2	1011	1558
3	3693	1553
4	4981	1553
5	4993	1553
6	4969	1553

prune134.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	104	8	112
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	104	9	113

Error

0.0b

Counts

113 → 9

Alt Table

Status	Error	Program
✓	0.3b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	1.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2)))) 3) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
▶	0.5b	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	39.9b	(.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) 3)) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	32.8b	(.f64 (pow.f64 (sqrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2)))) 2) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	32.5b	(.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) 1/4) (.f64 y y)) (sqrt.f64 (.f64 z 2))) (fma.f64 x 1/2 y)) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	43.0b	(.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 y 3)) (sqrt.f64 (.f64 z 2))) (+.f64 (.f64 (.f64 x x) 1/4) (*.f64 y (fma.f64 x 1/2 y)))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	1.1b	(fma.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 1/4 (.f64 t t)) (.f64 1/16 (pow.f64 t 4)))) (-.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) 1/2)) (-.f64 x (.f64 y (.f64 t t)))) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z)) (+.f64 (.f64 1/8 (.f64 y (pow.f64 t 4))) y))))
	1.2b	(-.f64 (+.f64 (.f64 1/4 (.f64 (.f64 (pow.f64 t 2) (.f64 (sqrt.f64 2) x)) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z)))) (+.f64 (.f64 (.f64 y (sqrt.f64 2)) (sqrt.f64 z)) (.f64 1/2 (.f64 (.f64 y (*.f64 (pow.f64 t 2) (sqrt.f64 2))) (sqrt.f64 z)))))

Compiler

Compiled 3030 to 1904 computations (37.2% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (sqrt.f64 (exp.f64 t)) t)
✓	0.0b	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
✓	0.3b	(.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y))
✓	0.4b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))

series267.0ms (2.6%)

Counts

3 → 84

Calls

3 calls:

213.0ms

(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))

30.0ms

(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))

24.0ms

(*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y))

rewrite80.0ms (0.8%)

Algorithm

2×	batch-egg-rewrite

Rules

571×	`prod-diff_binary64`
169×	`add-sqr-sqrt_binary64`
161×	`log1p-expm1-u_binary64`
161×	`expm1-log1p-u_binary64`
159×	`add-log-exp_binary64`

Counts

3 → 55

Calls

3 calls:

79.0ms

(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))

79.0ms

(*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y))

79.0ms

(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	56
1	350	52
2	4027	52
3	5024	52
0	0	0
1	0	0

simplify92.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

619×	`associate-r_binary64`
594×	`associate-l_binary64`
567×	`fma-def_binary64`
430×	`distribute-rgt-neg-in_binary64`
422×	`distribute-lft-neg-in_binary64`

Counts

139 → 80

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	2635
1	264	2293
2	894	1742
3	3886	1742
4	5101	1742

prune103.0ms (1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	106	9	115

Error

0.0b

Counts

115 → 9

Alt Table

Status	Error	Program
✓	0.3b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	1.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2)))) 3) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
✓	0.5b	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	32.8b	(.f64 (pow.f64 (sqrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2)))) 2) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	32.5b	(.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) 1/4) (.f64 y y)) (sqrt.f64 (.f64 z 2))) (fma.f64 x 1/2 y)) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	43.0b	(.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 y 3)) (sqrt.f64 (.f64 z 2))) (+.f64 (.f64 (.f64 x x) 1/4) (*.f64 y (fma.f64 x 1/2 y)))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
▶	1.1b	(fma.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 1/4 (.f64 t t)) (.f64 1/16 (pow.f64 t 4)))) (-.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) 1/2)) (-.f64 x (.f64 y (.f64 t t)))) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z)) (+.f64 (.f64 1/8 (.f64 y (pow.f64 t 4))) y))))
	39.9b	(.f64 (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)) 3))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	1.2b	(-.f64 (+.f64 (.f64 1/4 (.f64 (.f64 (pow.f64 t 2) (.f64 (sqrt.f64 2) x)) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z)))) (+.f64 (.f64 (.f64 y (sqrt.f64 2)) (sqrt.f64 z)) (.f64 1/2 (.f64 (.f64 y (*.f64 (pow.f64 t 2) (sqrt.f64 2))) (sqrt.f64 z)))))

Compiler

Compiled 2910 to 1761 computations (39.5% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) 1/2))
✓	3.7b	(*.f64 y (pow.f64 t 4))
✓	4.8b	(.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 1/4 (.f64 t t)) (*.f64 1/16 (pow.f64 t 4))))
✓	7.3b	(.f64 y (.f64 t t))

series74.0ms (0.7%)

Counts

4 → 48

Calls

4 calls:

40.0ms	(.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 1/4 (.f64 t t)) (*.f64 1/16 (pow.f64 t 4))))
14.0ms	(*.f64 y (pow.f64 t 4))
11.0ms	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) 1/2))
9.0ms	(.f64 y (.f64 t t))

rewrite76.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

521×	`prod-diff_binary64`
218×	`add-sqr-sqrt_binary64`
214×	`log1p-expm1-u_binary64`
214×	`expm1-log1p-u_binary64`
211×	`add-log-exp_binary64`

Counts

4 → 71

Calls

4 calls:

74.0ms	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) 1/2))
74.0ms	(*.f64 y (pow.f64 t 4))
74.0ms	(.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 1/4 (.f64 t t)) (*.f64 1/16 (pow.f64 t 4))))
74.0ms	(.f64 y (.f64 t t))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	47
1	478	45
2	4659	45
3	5352	45
0	0	0
1	0	0

simplify160.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

742×	`associate-l_binary64`
738×	`distribute-rgt-in_binary64`
519×	`fma-def_binary64`
401×	`associate-r_binary64`
339×	`distribute-rgt-out_binary64`

Counts

119 → 80

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	780
1	70	675
2	185	675
3	451	675
4	1379	675
5	2810	675
6	3546	675
7	3588	675
8	3691	675
9	3791	675
10	3951	675
11	4096	675
12	4951	675
13	4963	675
14	4858	675

prune138.0ms (1.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	80	9	89

Error

0.0b

Counts

89 → 9

Alt Table

Status	Error	Program
✓	0.3b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	1.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2)))) 3) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
✓	0.5b	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
▶	1.1b	(fma.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 1/4 (.f64 t t)) (.f64 1/16 (pow.f64 t 4)))) (-.f64 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (.f64 1/4 z)))) 2) (-.f64 x (.f64 y (.f64 t t)))) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z)) (+.f64 (.f64 1/8 (.f64 y (pow.f64 t 4))) y))))
	32.8b	(.f64 (pow.f64 (sqrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2)))) 2) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	43.0b	(.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 y 3)) (sqrt.f64 (.f64 z 2))) (+.f64 (.f64 (.f64 x x) 1/4) (*.f64 y (fma.f64 x 1/2 y)))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	39.9b	(.f64 (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)) 3))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	1.2b	(-.f64 (+.f64 (.f64 1/4 (.f64 (.f64 (pow.f64 t 2) (.f64 (sqrt.f64 2) x)) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z)))) (+.f64 (.f64 (.f64 y (sqrt.f64 2)) (sqrt.f64 z)) (.f64 1/2 (.f64 (.f64 y (*.f64 (pow.f64 t 2) (sqrt.f64 2))) (sqrt.f64 z)))))
	13.8b	(fma.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 1/4 (.f64 t t)) (.f64 1/16 (pow.f64 t 4)))) (-.f64 (.f64 (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (.f64 (sqrt.f64 z) 1/2) 3))) (-.f64 x (.f64 y (.f64 t t)))) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z)) (+.f64 (.f64 1/8 (*.f64 y (pow.f64 t 4))) y))))

Compiler

Compiled 5023 to 3170 computations (36.9% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (.f64 1/4 z)))) 2)
	3.7b	(*.f64 y (pow.f64 t 4))
	4.8b	(.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 1/4 (.f64 t t)) (*.f64 1/16 (pow.f64 t 4))))
	7.3b	(.f64 y (.f64 t t))

series30.0ms (0.3%)

Counts

1 → 8

Calls

1 calls:

30.0ms

(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (*.f64 1/4 z)))) 2)

rewrite78.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

609×	`log1p-expm1-u_binary64`
609×	`expm1-log1p-u_binary64`
346×	`log-prod_binary64`
126×	`expm1-udef_binary64`
126×	`log1p-udef_binary64`

Counts

1 → 30

Calls

1 calls:

77.0ms

(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (*.f64 1/4 z)))) 2)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	167	6
2	1649	6
3	4983	6
4	4924	6
0	0	0
1	0	0

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Counts

38 → 30

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	64
1	7	64
2	7	64

prune158.0ms (1.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	95	9	104

Error

0.0b

Counts

104 → 9

Alt Table

Status	Error	Program
✓	0.3b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	1.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2)))) 3) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
✓	0.5b	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
✓	1.1b	(fma.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 1/4 (.f64 t t)) (.f64 1/16 (pow.f64 t 4)))) (-.f64 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (.f64 1/4 z)))) 2) (-.f64 x (.f64 y (.f64 t t)))) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z)) (+.f64 (.f64 1/8 (.f64 y (pow.f64 t 4))) y))))
	32.8b	(.f64 (pow.f64 (sqrt.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2)))) 2) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	43.0b	(.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 y 3)) (sqrt.f64 (.f64 z 2))) (+.f64 (.f64 (.f64 x x) 1/4) (*.f64 y (fma.f64 x 1/2 y)))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	39.9b	(.f64 (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)) 3))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
	1.2b	(-.f64 (+.f64 (.f64 1/4 (.f64 (.f64 (pow.f64 t 2) (.f64 (sqrt.f64 2) x)) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z)))) (+.f64 (.f64 (.f64 y (sqrt.f64 2)) (sqrt.f64 z)) (.f64 1/2 (.f64 (.f64 y (*.f64 (pow.f64 t 2) (sqrt.f64 2))) (sqrt.f64 z)))))
	13.8b	(fma.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 2) x) (+.f64 (.f64 1/4 (.f64 t t)) (.f64 1/16 (pow.f64 t 4)))) (-.f64 (.f64 (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (.f64 (sqrt.f64 z) 1/2) 3))) (-.f64 x (.f64 y (.f64 t t)))) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z)) (+.f64 (.f64 1/8 (*.f64 y (pow.f64 t 4))) y))))

Compiler

Compiled 5675 to 3638 computations (35.9% saved)

regimes1.4s (13.1%)

Accuracy

Total 0.2b remaining (81.3%)

Threshold costs 0.2b (81.3%)

Counts

79 → 1

Compiler

Compiled 37708 to 27381 computations (27.4% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	22	25
2	27	25
3	29	25
4	30	25
5	30	25

end205.0ms (2%)

Compiler: Compiled 354 to 263 computations (25.7% saved)

Details

analyze1.8s (17.6%)

sample4.9s (47.5%)

simplify129.0ms (1.2%)

prune5.0ms (0%)

localize12.0ms (0.1%)

series233.0ms (2.2%)

rewrite81.0ms (0.8%)

simplify124.0ms (1.2%)

prune134.0ms (1.3%)

localize16.0ms (0.2%)

series267.0ms (2.6%)

rewrite80.0ms (0.8%)

simplify92.0ms (0.9%)

prune103.0ms (1%)

localize29.0ms (0.3%)

series74.0ms (0.7%)

rewrite76.0ms (0.7%)

simplify160.0ms (1.5%)

prune138.0ms (1.3%)

localize33.0ms (0.3%)

series30.0ms (0.3%)

rewrite78.0ms (0.7%)

simplify10.0ms (0.1%)

prune158.0ms (1.5%)

regimes1.4s (13.1%)

simplify3.0ms (0%)

end205.0ms (2%)

Profiling