Details

analyze62.0ms (1.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
51.6%	50%	46.8%	0.1%	3.1%	0%	0%	7
61.3%	59.3%	37.5%	0.1%	3.1%	0%	0%	8
72.3%	67.1%	25.8%	0.1%	7%	0%	0%	9
78.2%	72.6%	20.3%	0.1%	7%	0%	0%	10
85.1%	76.9%	13.5%	0.1%	9.6%	0%	0%	11
88.3%	79.8%	10.5%	0.1%	9.6%	0%	0%	12

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample1.1s (34.8%)

Results

1.1s	8256×	body	256	valid
24.0ms	275×	body	256	infinite

Bogosity

preprocess138.0ms (4.3%)

Algorithm

2×	egg-herbie

Rules

1884×	`fma-def`
1114×	`associate-+l-`
840×	`fma-neg`
702×	`+-commutative`
614×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	62
1	47	54
2	113	46
3	221	46
4	544	42
5	1266	42
6	3115	42
7	4585	42
8	4872	42
9	4872	42
10	4872	42
11	5530	42
12	5530	42
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (.f64 y (-.f64 x 1)) (.f64 x 1/2)) 918938533204673/1000000000000000)

Outputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (-.f64 (.f64 y (-.f64 x 1)) (.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y (+.f64 x -1)) (.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1) (*.f64 x -1/2)))
(fma.f64 y (+.f64 x -1) (fma.f64 x -1/2 918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1/2) (-.f64 918938533204673/1000000000000000 y))
(-.f64 (fma.f64 x (+.f64 y -1/2) 918938533204673/1000000000000000) y)

Compiler

Compiled 15 to 12 computations (20% saved)

simplify74.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1392×	`fma-def`
764×	`associate-+l+`
706×	`associate-+l-`
678×	`associate--r+`
540×	`associate-+r+`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	30	27
2	66	23
3	126	23
4	263	21
5	614	21
6	1497	21
7	2817	21
8	3922	21
9	4054	21
10	4081	21

Stop Event

1×

saturated

Counts

1 → 6

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Outputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (*.f64 y 1/2))) 918938533204673/1000000000000000)
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))

eval1.0ms (0%)

Compiler: Compiled 59 to 41 computations (30.5% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	4	3	7

Error

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
▶	0.0b	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Compiler

Compiled 23 to 17 computations (26.1% saved)

localize15.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 y 1))

Compiler

Compiled 38 to 26 computations (31.6% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(*.f64 x (-.f64 y 1))
0.0ms	x	@	-inf	(*.f64 x (-.f64 y 1))
0.0ms	x	@	0	(*.f64 x (-.f64 y 1))
0.0ms	x	@	inf	(*.f64 x (-.f64 y 1))
0.0ms	y	@	inf	(*.f64 x (-.f64 y 1))

rewrite49.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1412×	`add-sqr-sqrt`
1396×	`*-un-lft-identity`
1302×	`add-cube-cbrt`
1286×	`add-cbrt-cube`
1274×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	144	13
2	1785	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(*.f64 x (-.f64 y 1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x y) (.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y x) (.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (fma.f64 y y -1)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 y y -1) x) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 y 3) -1) x) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (+.f64 y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (+.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (+.f64 y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (+.f64 y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (+.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (+.f64 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (+.f64 y -1))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 y 3) -1) x) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 y -1))))))))

simplify55.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1034×	`*-commutative`
882×	`fma-def`
716×	`associate-r`
618×	`associate-l`
614×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	578
1	136	578
2	414	578
3	2478	578
4	5036	578

Stop Event

1×	node limit

Counts

42 → 28

Calls

Call 1

Inputs
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 -1 x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 x y) (.f64 x -1))
(+.f64 (.f64 y x) (.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 x (+.f64 y -1))) 1)
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))
(/.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) -1) x) (fma.f64 y y (+.f64 y 1)))
(pow.f64 (*.f64 x (+.f64 y -1)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y -1))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y -1))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 y -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y -1))))

Outputs
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 x y) (.f64 x -1))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(-.f64 (+.f64 1 (*.f64 x (+.f64 y -1))) 1)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(/.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))
(/.f64 x (/.f64 (fma.f64 y y (+.f64 y 1)) (+.f64 -1 (pow.f64 y 3))))
(*.f64 (/.f64 x (fma.f64 y y (+.f64 y 1))) (+.f64 -1 (pow.f64 y 3)))
(/.f64 (fma.f64 x (pow.f64 y 3) (neg.f64 x)) (+.f64 1 (fma.f64 y y y)))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 y 3)) (+.f64 y (fma.f64 y y 1))))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) -1) x) (fma.f64 y y (+.f64 y 1)))
(/.f64 x (/.f64 (fma.f64 y y (+.f64 y 1)) (+.f64 -1 (pow.f64 y 3))))
(*.f64 (/.f64 x (fma.f64 y y (+.f64 y 1))) (+.f64 -1 (pow.f64 y 3)))
(/.f64 (fma.f64 x (pow.f64 y 3) (neg.f64 x)) (+.f64 1 (fma.f64 y y y)))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 y 3)) (+.f64 y (fma.f64 y y 1))))
(pow.f64 (*.f64 x (+.f64 y -1)) 1)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) 2)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 3)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) 1/3)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(log.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(exp.f64 (log.f64 (*.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 y -1))) 1))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))

Compiler

Compiled 20 to 13 computations (35% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
0.0ms	y	@	-inf	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
0.0ms	x	@	inf	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
0.0ms	x	@	-inf	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
0.0ms	x	@	0	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))

rewrite71.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`*-commutative`
850×	`associate-*r/`
644×	`unswap-sqr`
602×	`associate-*l/`
526×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	221	21
2	2775	21

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

Inputs
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (+.f64 (neg.f64 x) (.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y -1/2) (+.f64 (.f64 y x) (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y x) (+.f64 (.f64 y -1/2) (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y x)) (.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y -1/2)) (.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 y (+.f64 x -1/2)) (neg.f64 x)) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2))) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (+.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2))) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 918938533204673/1000000000000000 (-.f64 x (.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 x))) (-.f64 1 (.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 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918938533204673/1000000000000000 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (+.f64 (neg.f64 x) (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/2) (+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (+.f64 (*.f64 y -1/2) (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)) (*.f64 y 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(+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))) (*.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (-.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (+.f64 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2))) (-.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))) (+.f64 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) 1) (-.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) 1) (+.f64 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))))

simplify76.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1086×	`associate--r+`
920×	`+-commutative`
900×	`associate-+l-`
790×	`associate--l+`
784×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	2353
1	422	2221
2	1516	2209
3	4368	2209

Stop Event

1×	node limit

Counts

75 → 84

Calls

Call 1

Inputs
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(*.f64 y (-.f64 x 1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(*.f64 y (-.f64 x 1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (.f64 -1/2 y)))
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (.f64 -1/2 y)))
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (.f64 -1/2 y)))
(*.f64 (-.f64 y 1) x)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x)))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 918938533204673/1000000000000000 (+.f64 (neg.f64 x) (*.f64 y (+.f64 x -1/2))))
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2)))
(+.f64 (neg.f64 x) (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))))
(+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) (neg.f64 x))
(+.f64 (.f64 y -1/2) (+.f64 (.f64 y x) (-.f64 918938533204673/1000000000000000 x)))
(+.f64 (.f64 y x) (+.f64 (.f64 y -1/2) (-.f64 918938533204673/1000000000000000 x)))
(+.f64 (+.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y x)) (.f64 y -1/2))
(+.f64 (+.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y -1/2)) (.f64 y x))
(+.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (.f64 1 (+.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2)))) (neg.f64 x))
(+.f64 (.f64 (+.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2))) 1) (neg.f64 x))
(-.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2))))
(-.f64 (exp.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 x))) (-.f64 1 (*.f64 y (+.f64 x -1/2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) 1)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 x 918938533204673/1000000000000000)) (-.f64 (/.f64 x (/.f64 (+.f64 x 918938533204673/1000000000000000) x)) (*.f64 y (+.f64 x -1/2))))
(-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 x 918938533204673/1000000000000000)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 x 918938533204673/1000000000000000)))) (*.f64 y (+.f64 x -1/2))))
(-.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (exp.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 x)))) 1)
(-.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 x 918938533204673/1000000000000000))) (/.f64 x (/.f64 (+.f64 x 918938533204673/1000000000000000) x)))
(-.f64 (+.f64 (.f64 y (+.f64 x -1/2)) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 x 918938533204673/1000000000000000))))) (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))))
(-.f64 (+.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) 0) x)
(*.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 1)
(*.f64 1 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))) (*.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3) 1/6))
(/.f64 (-.f64 (.f64 (.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (-.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (+.f64 (.f64 (.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2))) (-.f64 (.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (.f64 y (+.f64 x -1/2)) 3))) (+.f64 (.f64 (.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y (+.f64 x -1/2))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) 1) (-.f64 (.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) 1) (+.f64 (.f64 (.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y (+.f64 x -1/2))))))
(pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 3)
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 2))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))

Outputs
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
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(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (.f64 y y) (pow.f64 (+.f64 x -1/2) 2) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y (+.f64 x -1/2))))))
(/.f64 (+.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (fma.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y (+.f64 x -1/2))) (.f64 (.f64 y y) (pow.f64 (+.f64 x -1/2) 2))))
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(/.f64 (+.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (fma.f64 (.f64 y y) (pow.f64 (+.f64 x -1/2) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (fma.f64 y (-.f64 1/2 x) (-.f64 918938533204673/1000000000000000 x)))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2))) (-.f64 (.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))
(/.f64 (-.f64 (.f64 (.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (fma.f64 y (+.f64 x -1/2) (neg.f64 (-.f64 918938533204673/1000000000000000 x))))
(/.f64 (-.f64 (.f64 (.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (+.f64 x (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(/.f64 (-.f64 (.f64 (.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (+.f64 (fma.f64 y (+.f64 x -1/2) x) -918938533204673/1000000000000000))
(/.f64 (.f64 1 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (.f64 y (+.f64 x -1/2)) 3))) (+.f64 (.f64 (.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y (+.f64 x -1/2))))))
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (.f64 y y) (pow.f64 (+.f64 x -1/2) 2) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y (+.f64 x -1/2))))))
(/.f64 (+.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (fma.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y (+.f64 x -1/2))) (.f64 (.f64 y y) (pow.f64 (+.f64 x -1/2) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (fma.f64 (.f64 y y) (pow.f64 (+.f64 x -1/2) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (fma.f64 (.f64 y y) (pow.f64 (+.f64 x -1/2) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (fma.f64 y (-.f64 1/2 x) (-.f64 918938533204673/1000000000000000 x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) 1) (-.f64 (.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))
(/.f64 (-.f64 (.f64 (.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (fma.f64 y (+.f64 x -1/2) (neg.f64 (-.f64 918938533204673/1000000000000000 x))))
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(/.f64 (+.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (fma.f64 (.f64 y y) (pow.f64 (+.f64 x -1/2) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (fma.f64 y (-.f64 1/2 x) (-.f64 918938533204673/1000000000000000 x)))))
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(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
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(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
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(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
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(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
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(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))

eval40.0ms (1.3%)

Compiler: Compiled 1926 to 1363 computations (29.2% saved)

prune19.0ms (0.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	106	6	112
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	108	6	114

Error

Counts

114 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
▶	24.3b	(-.f64 918938533204673/1000000000000000 x)
	21.8b	(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)
▶	30.4b	(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
▶	33.5b	(*.f64 (-.f64 y 1) x)
▶	38.9b	(*.f64 y (-.f64 x 1/2))

Compiler

Compiled 96 to 72 computations (25% saved)

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (-.f64 x 1/2))
✓	0.0b	(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series2.0ms (0.1%)

Counts

2 → 27

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
0.0ms	x	@	-inf	(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
0.0ms	y	@	-inf	(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
0.0ms	x	@	inf	(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
0.0ms	y	@	0	(*.f64 y (-.f64 x 1/2))

rewrite87.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

896×	`associate-*r/`
868×	`*-commutative`
638×	`associate-*l/`
628×	`unswap-sqr`
500×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	203	28
2	2591	28

Stop Event

1×	node limit

Counts

2 → 119

Calls

Call 1

Inputs
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(*.f64 y (-.f64 x 1/2))

Outputs

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simplify115.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1236×	`associate-*r/`
968×	`associate-*l/`
738×	`associate-/l/`
650×	`associate-/r/`
498×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	341	6348
1	905	5804
2	3765	5752

Stop Event

1×	node limit

Counts

146 → 197

Calls

Call 1

Inputs
918938533204673/1000000000000000
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 81061466795327/1000000000000000)
(-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2)))) (/.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2) (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))))
(-.f64 (+.f64 918938533204673/1000000000000000 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))) 1)
(*.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 1)
(*.f64 1 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (/.f64 1 (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))))
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(neg.f64 (/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (+.f64 -844448027808355901771309036929/1000000000000000000000000000000 (neg.f64 (.f64 (.f64 y (+.f64 x -1/2)) (-.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000))))))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 (+.f64 x -1/2) y 918938533204673/1000000000000000)
(fma.f64 1 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)
(fma.f64 (sqrt.f64 (.f64 y (+.f64 x -1/2))) (sqrt.f64 (.f64 y (+.f64 x -1/2))) 918938533204673/1000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (+.f64 x -1/2))) 2) (cbrt.f64 (.f64 y (+.f64 x -1/2))) 918938533204673/1000000000000000)
(+.f64 (.f64 y x) (.f64 y -1/2))
(+.f64 (.f64 y -1/2) (.f64 y x))
(+.f64 (.f64 1 (.f64 y x)) (.f64 1 (.f64 y -1/2)))
(+.f64 (.f64 (.f64 y x) 1) (.f64 (.f64 y -1/2) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)
(/.f64 y (/.f64 1 (+.f64 x -1/2)))
(/.f64 (fma.f64 x x -1/4) (/.f64 (+.f64 x 1/2) y))
(/.f64 (+.f64 (pow.f64 x 3) -1/8) (/.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))) y))
(/.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2))
(/.f64 (.f64 y (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2))))
(/.f64 (.f64 y (+.f64 (pow.f64 x 3) -1/8)) (-.f64 (+.f64 (.f64 x x) 1/4) (*.f64 x -1/2)))
(/.f64 (*.f64 y (neg.f64 (fma.f64 x x -1/4))) (+.f64 -1/2 (neg.f64 x)))
(/.f64 (.f64 y (neg.f64 (+.f64 (pow.f64 x 3) -1/8))) (neg.f64 (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))))
(/.f64 (.f64 1 (.f64 y (fma.f64 x x -1/4))) (+.f64 x 1/2))
(/.f64 (.f64 1 (.f64 y (+.f64 (pow.f64 x 3) -1/8))) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))
(/.f64 (.f64 (.f64 y (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (fma.f64 x x -1/4))) (sqrt.f64 (+.f64 x 1/2)))
(/.f64 (.f64 (.f64 y (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/8))) (sqrt.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2)))))
(/.f64 (.f64 (.f64 y (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (fma.f64 x x -1/4))) (cbrt.f64 (+.f64 x 1/2)))
(/.f64 (.f64 (.f64 y (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) -1/8))) (cbrt.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2)))))
(/.f64 (*.f64 (neg.f64 (fma.f64 x x -1/4)) y) (+.f64 -1/2 (neg.f64 x)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/8)) y) (neg.f64 (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))))
(/.f64 (.f64 (.f64 y (fma.f64 x x -1/4)) 1) (+.f64 x 1/2))
(/.f64 (.f64 (.f64 y (+.f64 (pow.f64 x 3) -1/8)) 1) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x -1/4)) (.f64 y (sqrt.f64 (+.f64 x -1/2)))) (sqrt.f64 (+.f64 x 1/2)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/8)) (.f64 y (sqrt.f64 (+.f64 x -1/2)))) (sqrt.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2)))))
(/.f64 (/.f64 (*.f64 y (fma.f64 x x -1/4)) 1) (+.f64 x 1/2))
(/.f64 (/.f64 (*.f64 y (fma.f64 x x -1/4)) (sqrt.f64 (+.f64 x 1/2))) (sqrt.f64 (+.f64 x 1/2)))
(/.f64 (/.f64 (.f64 y (fma.f64 x x -1/4)) (.f64 (cbrt.f64 (+.f64 x 1/2)) (cbrt.f64 (+.f64 x 1/2)))) (cbrt.f64 (+.f64 x 1/2)))
(/.f64 (/.f64 (.f64 y (+.f64 (pow.f64 x 3) -1/8)) 1) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2))))
(/.f64 (/.f64 (.f64 y (+.f64 (pow.f64 x 3) -1/8)) (sqrt.f64 (fma.f64 x x (+.f64 1/4 (.f64 x 1/2))))) (sqrt.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 y (+.f64 (pow.f64 x 3) -1/8)) (.f64 (cbrt.f64 (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))) (cbrt.f64 (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))))) (cbrt.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2)))))
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))

Outputs
918938533204673/1000000000000000
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))
(fma.f64 y -1/2 918938533204673/1000000000000000)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 -1/2 y)
(*.f64 y -1/2)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))) 1)
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 81061466795327/1000000000000000)
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2)))) (/.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2) (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (-.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2))))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) (neg.f64 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(-.f64 (+.f64 918938533204673/1000000000000000 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))) 1)
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 1)
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 1 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2))
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (/.f64 1 (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (-.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2))))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) (neg.f64 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 (.f64 y (+.f64 x -1/2)) (-.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)))))
(/.f64 (.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) 1) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 y (.f64 (+.f64 x -1/2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (fma.f64 y (.f64 (+.f64 x -1/2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000))
(.f64 (/.f64 1 (-.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2)))) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (-.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2))))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) (neg.f64 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(.f64 (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 (.f64 y (+.f64 x -1/2)) (-.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)))) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)))
(/.f64 (.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) 1) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 y (.f64 (+.f64 x -1/2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (fma.f64 y (.f64 (+.f64 x -1/2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000))
(.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))) (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))
(/.f64 (.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 y (.f64 (+.f64 x -1/2) (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)))
(.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3))) (fma.f64 y (.f64 (+.f64 x -1/2) (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000))
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(/.f64 (-.f64 -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (-.f64 -844448027808355901771309036929/1000000000000000000000000000000 (.f64 y (*.f64 (+.f64 x -1/2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2))
(fabs.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3))
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 (+.f64 x -1/2) y 918938533204673/1000000000000000)
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 1 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 (sqrt.f64 (.f64 y (+.f64 x -1/2))) (sqrt.f64 (.f64 y (+.f64 x -1/2))) 918938533204673/1000000000000000)
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (+.f64 x -1/2))) 2) (cbrt.f64 (.f64 y (+.f64 x -1/2))) 918938533204673/1000000000000000)
(fma.f64 -1/2 y (+.f64 918938533204673/1000000000000000 (*.f64 y x)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (.f64 y x) (.f64 y -1/2))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 y -1/2) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 1 (.f64 y x)) (.f64 1 (.f64 y -1/2)))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 (.f64 y x) 1) (.f64 (.f64 y -1/2) 1))
(*.f64 y (+.f64 x -1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)
(*.f64 y (+.f64 x -1/2))
(/.f64 y (/.f64 1 (+.f64 x -1/2)))
(*.f64 y (+.f64 x -1/2))
(/.f64 (fma.f64 x x -1/4) (/.f64 (+.f64 x 1/2) y))
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) y)
(*.f64 y (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)))
(/.f64 (+.f64 (pow.f64 x 3) -1/8) (/.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))) y))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))) y)
(*.f64 (/.f64 y (fma.f64 x x (fma.f64 x 1/2 1/4))) (+.f64 (pow.f64 x 3) -1/8))
(/.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2))
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) y)
(*.f64 y (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)))
(/.f64 (.f64 y (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))) y)
(*.f64 (/.f64 y (fma.f64 x x (fma.f64 x 1/2 1/4))) (+.f64 (pow.f64 x 3) -1/8))
(/.f64 (.f64 y (+.f64 (pow.f64 x 3) -1/8)) (-.f64 (+.f64 (.f64 x x) 1/4) (*.f64 x -1/2)))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))) y)
(*.f64 (/.f64 y (fma.f64 x x (fma.f64 x 1/2 1/4))) (+.f64 (pow.f64 x 3) -1/8))
(/.f64 (*.f64 y (neg.f64 (fma.f64 x x -1/4))) (+.f64 -1/2 (neg.f64 x)))
(/.f64 y (/.f64 (-.f64 -1/2 x) (neg.f64 (fma.f64 x x -1/4))))
(*.f64 (/.f64 y (-.f64 -1/2 x)) (neg.f64 (fma.f64 x x -1/4)))
(.f64 (/.f64 y (-.f64 -1/2 x)) (-.f64 1/4 (.f64 x x)))
(/.f64 (.f64 y (neg.f64 (+.f64 (pow.f64 x 3) -1/8))) (neg.f64 (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))) y)
(*.f64 (/.f64 y (fma.f64 x x (fma.f64 x 1/2 1/4))) (+.f64 (pow.f64 x 3) -1/8))
(/.f64 (.f64 1 (.f64 y (fma.f64 x x -1/4))) (+.f64 x 1/2))
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) y)
(*.f64 y (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)))
(/.f64 (.f64 1 (.f64 y (+.f64 (pow.f64 x 3) -1/8))) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))) y)
(*.f64 (/.f64 y (fma.f64 x x (fma.f64 x 1/2 1/4))) (+.f64 (pow.f64 x 3) -1/8))
(/.f64 (.f64 (.f64 y (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (fma.f64 x x -1/4))) (sqrt.f64 (+.f64 x 1/2)))
(/.f64 (.f64 y (.f64 (sqrt.f64 (+.f64 x -1/2)) (sqrt.f64 (fma.f64 x x -1/4)))) (sqrt.f64 (+.f64 x 1/2)))
(.f64 (/.f64 (.f64 y (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x 1/2))) (sqrt.f64 (fma.f64 x x -1/4)))
(.f64 (/.f64 y (sqrt.f64 (+.f64 x 1/2))) (.f64 (sqrt.f64 (+.f64 x -1/2)) (sqrt.f64 (fma.f64 x x -1/4))))
(/.f64 (.f64 (.f64 y (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/8))) (sqrt.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2)))))
(/.f64 (.f64 y (sqrt.f64 (+.f64 x -1/2))) (/.f64 (sqrt.f64 (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/8))))
(.f64 (/.f64 (.f64 y (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (fma.f64 x x (fma.f64 x 1/2 1/4)))) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/8)))
(.f64 (/.f64 y (sqrt.f64 (fma.f64 x x (fma.f64 x 1/2 1/4)))) (.f64 (sqrt.f64 (+.f64 x -1/2)) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/8))))
(/.f64 (.f64 (.f64 y (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (fma.f64 x x -1/4))) (cbrt.f64 (+.f64 x 1/2)))
(/.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (/.f64 (cbrt.f64 (+.f64 x 1/2)) (cbrt.f64 (fma.f64 x x -1/4))))
(/.f64 y (/.f64 (/.f64 (cbrt.f64 (+.f64 x 1/2)) (cbrt.f64 (fma.f64 x x -1/4))) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)))
(*.f64 (/.f64 y (/.f64 (cbrt.f64 (+.f64 x 1/2)) (cbrt.f64 (fma.f64 x x -1/4)))) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2))
(/.f64 (.f64 (.f64 y (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) -1/8))) (cbrt.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2)))))
(/.f64 (.f64 y (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (/.f64 (cbrt.f64 (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))) (cbrt.f64 (+.f64 (pow.f64 x 3) -1/8))))
(.f64 (/.f64 (.f64 y (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (fma.f64 x x (fma.f64 x 1/2 1/4)))) (cbrt.f64 (+.f64 (pow.f64 x 3) -1/8)))
(.f64 (/.f64 y (cbrt.f64 (fma.f64 x x (fma.f64 x 1/2 1/4)))) (.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) -1/8))))
(/.f64 (*.f64 (neg.f64 (fma.f64 x x -1/4)) y) (+.f64 -1/2 (neg.f64 x)))
(/.f64 y (/.f64 (-.f64 -1/2 x) (neg.f64 (fma.f64 x x -1/4))))
(*.f64 (/.f64 y (-.f64 -1/2 x)) (neg.f64 (fma.f64 x x -1/4)))
(.f64 (/.f64 y (-.f64 -1/2 x)) (-.f64 1/4 (.f64 x x)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/8)) y) (neg.f64 (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))) y)
(*.f64 (/.f64 y (fma.f64 x x (fma.f64 x 1/2 1/4))) (+.f64 (pow.f64 x 3) -1/8))
(/.f64 (.f64 (.f64 y (fma.f64 x x -1/4)) 1) (+.f64 x 1/2))
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) y)
(*.f64 y (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)))
(/.f64 (.f64 (.f64 y (+.f64 (pow.f64 x 3) -1/8)) 1) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))) y)
(*.f64 (/.f64 y (fma.f64 x x (fma.f64 x 1/2 1/4))) (+.f64 (pow.f64 x 3) -1/8))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x -1/4)) (.f64 y (sqrt.f64 (+.f64 x -1/2)))) (sqrt.f64 (+.f64 x 1/2)))
(/.f64 (.f64 y (.f64 (sqrt.f64 (+.f64 x -1/2)) (sqrt.f64 (fma.f64 x x -1/4)))) (sqrt.f64 (+.f64 x 1/2)))
(.f64 (/.f64 (.f64 y (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x 1/2))) (sqrt.f64 (fma.f64 x x -1/4)))
(.f64 (/.f64 y (sqrt.f64 (+.f64 x 1/2))) (.f64 (sqrt.f64 (+.f64 x -1/2)) (sqrt.f64 (fma.f64 x x -1/4))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/8)) (.f64 y (sqrt.f64 (+.f64 x -1/2)))) (sqrt.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2)))))
(/.f64 (.f64 y (sqrt.f64 (+.f64 x -1/2))) (/.f64 (sqrt.f64 (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/8))))
(.f64 (/.f64 (.f64 y (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (fma.f64 x x (fma.f64 x 1/2 1/4)))) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/8)))
(.f64 (/.f64 y (sqrt.f64 (fma.f64 x x (fma.f64 x 1/2 1/4)))) (.f64 (sqrt.f64 (+.f64 x -1/2)) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/8))))
(/.f64 (/.f64 (*.f64 y (fma.f64 x x -1/4)) 1) (+.f64 x 1/2))
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) y)
(*.f64 y (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)))
(/.f64 (/.f64 (*.f64 y (fma.f64 x x -1/4)) (sqrt.f64 (+.f64 x 1/2))) (sqrt.f64 (+.f64 x 1/2)))
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) y)
(*.f64 y (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)))
(/.f64 (/.f64 (.f64 y (fma.f64 x x -1/4)) (.f64 (cbrt.f64 (+.f64 x 1/2)) (cbrt.f64 (+.f64 x 1/2)))) (cbrt.f64 (+.f64 x 1/2)))
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) y)
(*.f64 y (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)))
(/.f64 (/.f64 (.f64 y (+.f64 (pow.f64 x 3) -1/8)) 1) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))) y)
(*.f64 (/.f64 y (fma.f64 x x (fma.f64 x 1/2 1/4))) (+.f64 (pow.f64 x 3) -1/8))
(/.f64 (/.f64 (.f64 y (+.f64 (pow.f64 x 3) -1/8)) (sqrt.f64 (fma.f64 x x (+.f64 1/4 (.f64 x 1/2))))) (sqrt.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))) y)
(*.f64 (/.f64 y (fma.f64 x x (fma.f64 x 1/2 1/4))) (+.f64 (pow.f64 x 3) -1/8))
(/.f64 (/.f64 (.f64 y (+.f64 (pow.f64 x 3) -1/8)) (.f64 (cbrt.f64 (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))) (cbrt.f64 (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))))) (cbrt.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))) y)
(*.f64 (/.f64 y (fma.f64 x x (fma.f64 x 1/2 1/4))) (+.f64 (pow.f64 x 3) -1/8))
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1)
(*.f64 y (+.f64 x -1/2))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(*.f64 y (+.f64 x -1/2))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)
(*.f64 y (+.f64 x -1/2))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(*.f64 y (+.f64 x -1/2))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(fabs.f64 (*.f64 y (+.f64 x -1/2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))
(*.f64 y (+.f64 x -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -1/2)))))
(*.f64 y (+.f64 x -1/2))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(*.f64 y (+.f64 x -1/2))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 x -1/2))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 x -1/2))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 x -1/2))

localize4.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 y (-.f64 x 1/2))

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 y 1) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(*.f64 (-.f64 y 1) x)
0.0ms	y	@	inf	(*.f64 (-.f64 y 1) x)
0.0ms	y	@	-inf	(*.f64 (-.f64 y 1) x)
0.0ms	x	@	-inf	(*.f64 (-.f64 y 1) x)
0.0ms	x	@	inf	(*.f64 (-.f64 y 1) x)

rewrite50.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1412×	`add-sqr-sqrt`
1396×	`*-un-lft-identity`
1302×	`add-cube-cbrt`
1286×	`add-cbrt-cube`
1274×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	144	13
2	1785	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(*.f64 (-.f64 y 1) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 y -1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 y 3) -1) x) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 y -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 y -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 y -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 y -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 y -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y -1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 y -1) x)))))))

simplify54.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1034×	`*-commutative`
874×	`fma-def`
688×	`associate-r`
606×	`associate-l`
604×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	422
1	130	422
2	404	422
3	2396	422
4	4947	422

Stop Event

1×	node limit

Counts

30 → 28

Calls

Call 1

Inputs
(*.f64 -1 x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 x y) (.f64 x -1))
(+.f64 (.f64 y x) (.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 (+.f64 y -1) x)) 1)
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))
(/.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) -1) x) (fma.f64 y y (+.f64 y 1)))
(pow.f64 (*.f64 (+.f64 y -1) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 y -1) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 y -1) x)) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 y -1) x)))
(exp.f64 (log.f64 (*.f64 (+.f64 y -1) x)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 y -1) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 y -1) x)))

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 x y) (.f64 x -1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(-.f64 (+.f64 1 (*.f64 (+.f64 y -1) x)) 1)
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(/.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))
(/.f64 x (/.f64 (fma.f64 y y (+.f64 y 1)) (+.f64 -1 (pow.f64 y 3))))
(*.f64 (/.f64 x (fma.f64 y y (+.f64 y 1))) (+.f64 -1 (pow.f64 y 3)))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 y 3)) (+.f64 y (fma.f64 y y 1))))
(*.f64 (+.f64 -1 (pow.f64 y 3)) (/.f64 x (+.f64 y (fma.f64 y y 1))))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) -1) x) (fma.f64 y y (+.f64 y 1)))
(/.f64 x (/.f64 (fma.f64 y y (+.f64 y 1)) (+.f64 -1 (pow.f64 y 3))))
(*.f64 (/.f64 x (fma.f64 y y (+.f64 y 1))) (+.f64 -1 (pow.f64 y 3)))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 y 3)) (+.f64 y (fma.f64 y y 1))))
(*.f64 (+.f64 -1 (pow.f64 y 3)) (/.f64 x (+.f64 y (fma.f64 y y 1))))
(pow.f64 (*.f64 (+.f64 y -1) x) 1)
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 y -1) x)) 2)
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 y -1) x)) 3)
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(pow.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 3) 1/3)
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 2))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 3))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 y -1) x)))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(exp.f64 (log.f64 (*.f64 (+.f64 y -1) x)))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 y -1) x)) 1))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)
(log1p.f64 (expm1.f64 (*.f64 (+.f64 y -1) x)))
(*.f64 x (+.f64 -1 y))
(-.f64 (*.f64 x y) x)

localize6.0ms (0.2%)

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

eval122.0ms (3.8%)

Compiler: Compiled 6144 to 4506 computations (26.7% saved)

prune46.0ms (1.4%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	286	4	290
Fresh	1	0	1
Picked	0	1	1
Done	0	4	4
Total	287	9	296

Error

Counts

296 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
✓	24.3b	(-.f64 918938533204673/1000000000000000 x)
▶	38.9b	(+.f64 (.f64 y x) (.f64 y -1/2))
✓	30.4b	(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
✓	33.5b	(*.f64 (-.f64 y 1) x)
✓	38.9b	(*.f64 y (-.f64 x 1/2))
▶	54.2b	(*.f64 y x)
▶	47.6b	(*.f64 y -1/2)
▶	41.9b	(neg.f64 x)

Compiler

Compiled 60 to 44 computations (26.7% saved)

localize2.0ms (0.1%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize3.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize3.0ms (0.1%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y x) (.f64 y -1/2))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(+.f64 (.f64 y x) (.f64 y -1/2))
0.0ms	y	@	inf	(+.f64 (.f64 y x) (.f64 y -1/2))
0.0ms	y	@	-inf	(+.f64 (.f64 y x) (.f64 y -1/2))
0.0ms	x	@	0	(+.f64 (.f64 y x) (.f64 y -1/2))
0.0ms	x	@	inf	(+.f64 (.f64 y x) (.f64 y -1/2))

rewrite60.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1864×	`add-sqr-sqrt`
1842×	`*-un-lft-identity`
1724×	`add-cube-cbrt`
1708×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	174	13
2	2279	13

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

Inputs
(+.f64 (.f64 y x) (.f64 y -1/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (-.f64 x -1/2))) (/.f64 (pow.f64 (*.f64 y -1/2) 2) (*.f64 y (-.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (+.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (sqrt.f64 (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2) (cbrt.f64 (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 y -1/2) 2)) (/.f64 1 (*.f64 y (-.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y -1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y (-.f64 x -1/2)) (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 y -1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) (*.f64 y x)))) (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y -1/2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 y -1/2) 2)) (*.f64 y (-.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y -1/2) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y -1/2) 3)) (+.f64 (pow.f64 (*.f64 y -1/2) 2) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (*.f64 x (*.f64 y -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y -1/2) 2) (pow.f64 (*.f64 y x) 2)) (-.f64 (*.f64 y -1/2) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 y -1/2) 2))) (neg.f64 (*.f64 y (-.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y -1/2) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 y -1/2) (-.f64 (*.f64 y -1/2) (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -1/2 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 y (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y -1/2) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y -1/2)) (sqrt.f64 (*.f64 y -1/2)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y -1/2)) 2) (cbrt.f64 (*.f64 y -1/2)) (*.f64 y x))))))

simplify66.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1140×	`associate-+r+`
1104×	`times-frac`
1104×	`associate-/r/`
940×	`associate-+l+`
532×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	1429
1	319	1349
2	1264	1313
3	5640	1313

Stop Event

1×	node limit

Counts

67 → 55

Calls

Call 1

Inputs
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 y x) 2) (.f64 y (-.f64 x -1/2))) (/.f64 (pow.f64 (.f64 y -1/2) 2) (.f64 y (-.f64 x -1/2))))
(*.f64 y (+.f64 x -1/2))
(.f64 (.f64 y (+.f64 x -1/2)) 1)
(.f64 1 (.f64 y (+.f64 x -1/2)))
(.f64 (sqrt.f64 (.f64 y (+.f64 x -1/2))) (sqrt.f64 (*.f64 y (+.f64 x -1/2))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (+.f64 x -1/2)))
(.f64 (cbrt.f64 (.f64 y (+.f64 x -1/2))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (+.f64 x -1/2))) 2) (cbrt.f64 (*.f64 y (+.f64 x -1/2))))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (+.f64 x -1/2)))
(*.f64 (+.f64 x -1/2) y)
(.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 y -1/2) 2)) (/.f64 1 (.f64 y (-.f64 x -1/2))))
(.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 y -1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 y -1/2) (-.f64 (.f64 y -1/2) (.f64 y x))))))
(/.f64 1 (/.f64 (.f64 y (-.f64 x -1/2)) (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (*.f64 y -1/2) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 y -1/2) (-.f64 (.f64 y -1/2) (.f64 y x)))) (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (*.f64 y -1/2) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 y -1/2) 2)) (*.f64 y (-.f64 x -1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 y -1/2) 3)) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 y -1/2) (-.f64 (.f64 y -1/2) (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 y -1/2) 3)) (+.f64 (pow.f64 (.f64 y -1/2) 2) (-.f64 (pow.f64 (.f64 y x) 2) (.f64 y (.f64 x (*.f64 y -1/2))))))
(/.f64 (-.f64 (pow.f64 (.f64 y -1/2) 2) (pow.f64 (.f64 y x) 2)) (-.f64 (.f64 y -1/2) (.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 y -1/2) 2))) (neg.f64 (*.f64 y (-.f64 x -1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 y -1/2) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 y -1/2) (-.f64 (.f64 y -1/2) (*.f64 y x))))))
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 y (+.f64 x -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(fma.f64 y x (*.f64 y -1/2))
(fma.f64 y -1/2 (*.f64 y x))
(fma.f64 x y (*.f64 y -1/2))
(fma.f64 -1/2 y (*.f64 y x))
(fma.f64 1 (.f64 y x) (.f64 y -1/2))
(fma.f64 1 (.f64 y -1/2) (.f64 y x))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 y -1/2)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (.f64 y x)) (*.f64 y -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y -1/2)) 2) (cbrt.f64 (.f64 y -1/2)) (*.f64 y x))

Outputs
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 -1/2 y)
(*.f64 y -1/2)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(-.f64 (/.f64 (pow.f64 (.f64 y x) 2) (.f64 y (-.f64 x -1/2))) (/.f64 (pow.f64 (.f64 y -1/2) 2) (.f64 y (-.f64 x -1/2))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 y -1/2) 2)) (*.f64 y (+.f64 x 1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 y y) 1/4)) (.f64 y (+.f64 x 1/2)))
(/.f64 (.f64 (.f64 y y) (-.f64 (.f64 x x) 1/4)) (.f64 y (+.f64 x 1/2)))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (-.f64 x 1/2))
(.f64 (.f64 y (+.f64 x -1/2)) 1)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(.f64 1 (.f64 y (+.f64 x -1/2)))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(.f64 (sqrt.f64 (.f64 y (+.f64 x -1/2))) (sqrt.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (+.f64 x -1/2)))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(.f64 (cbrt.f64 (.f64 y (+.f64 x -1/2))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (+.f64 x -1/2))) 2) (cbrt.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (+.f64 x -1/2)))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 (+.f64 x -1/2) y)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 y -1/2) 2)) (/.f64 1 (.f64 y (-.f64 x -1/2))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 y -1/2) 2)) (*.f64 y (+.f64 x 1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 y y) 1/4)) (.f64 y (+.f64 x 1/2)))
(/.f64 (.f64 (.f64 y y) (-.f64 (.f64 x x) 1/4)) (.f64 y (+.f64 x 1/2)))
(.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 y -1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 y -1/2) (-.f64 (.f64 y -1/2) (.f64 y x))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (.f64 (pow.f64 y 3) -1/8)) 1) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 y -1/2) (*.f64 y (-.f64 -1/2 x)))))
(/.f64 (.f64 (pow.f64 y 3) (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 y (.f64 (.f64 y -1/2) (-.f64 -1/2 x)) (pow.f64 (.f64 y x) 2)))
(.f64 (/.f64 (pow.f64 y 3) (fma.f64 y (.f64 (.f64 y -1/2) (-.f64 -1/2 x)) (pow.f64 (.f64 y x) 2))) (+.f64 (pow.f64 x 3) -1/8))
(/.f64 1 (/.f64 (.f64 y (-.f64 x -1/2)) (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (*.f64 y -1/2) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 y -1/2) 2)) (*.f64 y (+.f64 x 1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 y y) 1/4)) (.f64 y (+.f64 x 1/2)))
(/.f64 (.f64 (.f64 y y) (-.f64 (.f64 x x) 1/4)) (.f64 y (+.f64 x 1/2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 y -1/2) (-.f64 (.f64 y -1/2) (.f64 y x)))) (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (*.f64 y -1/2) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (.f64 (pow.f64 y 3) -1/8)) 1) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 y -1/2) (*.f64 y (-.f64 -1/2 x)))))
(/.f64 (.f64 (pow.f64 y 3) (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 y (.f64 (.f64 y -1/2) (-.f64 -1/2 x)) (pow.f64 (.f64 y x) 2)))
(.f64 (/.f64 (pow.f64 y 3) (fma.f64 y (.f64 (.f64 y -1/2) (-.f64 -1/2 x)) (pow.f64 (.f64 y x) 2))) (+.f64 (pow.f64 x 3) -1/8))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 y -1/2) 2)) (*.f64 y (-.f64 x -1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 y -1/2) 2)) (*.f64 y (+.f64 x 1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 y y) 1/4)) (.f64 y (+.f64 x 1/2)))
(/.f64 (.f64 (.f64 y y) (-.f64 (.f64 x x) 1/4)) (.f64 y (+.f64 x 1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 y -1/2) 3)) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 y -1/2) (-.f64 (.f64 y -1/2) (*.f64 y x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (.f64 (pow.f64 y 3) -1/8)) 1) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 y -1/2) (*.f64 y (-.f64 -1/2 x)))))
(/.f64 (.f64 (pow.f64 y 3) (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 y (.f64 (.f64 y -1/2) (-.f64 -1/2 x)) (pow.f64 (.f64 y x) 2)))
(.f64 (/.f64 (pow.f64 y 3) (fma.f64 y (.f64 (.f64 y -1/2) (-.f64 -1/2 x)) (pow.f64 (.f64 y x) 2))) (+.f64 (pow.f64 x 3) -1/8))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 y -1/2) 3)) (+.f64 (pow.f64 (.f64 y -1/2) 2) (-.f64 (pow.f64 (.f64 y x) 2) (.f64 y (.f64 x (*.f64 y -1/2))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (.f64 (pow.f64 y 3) -1/8)) 1) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 y -1/2) (*.f64 y (-.f64 -1/2 x)))))
(/.f64 (.f64 (pow.f64 y 3) (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 y (.f64 (.f64 y -1/2) (-.f64 -1/2 x)) (pow.f64 (.f64 y x) 2)))
(.f64 (/.f64 (pow.f64 y 3) (fma.f64 y (.f64 (.f64 y -1/2) (-.f64 -1/2 x)) (pow.f64 (.f64 y x) 2))) (+.f64 (pow.f64 x 3) -1/8))
(/.f64 (-.f64 (pow.f64 (.f64 y -1/2) 2) (pow.f64 (.f64 y x) 2)) (-.f64 (.f64 y -1/2) (.f64 y x)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 y -1/2) 2)) (*.f64 y (+.f64 x 1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 y y) 1/4)) (.f64 y (+.f64 x 1/2)))
(/.f64 (.f64 (.f64 y y) (-.f64 (.f64 x x) 1/4)) (.f64 y (+.f64 x 1/2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 y -1/2) 2))) (neg.f64 (*.f64 y (-.f64 x -1/2))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 y -1/2) 2)) (*.f64 y (+.f64 x 1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 y y) 1/4)) (.f64 y (+.f64 x 1/2)))
(/.f64 (.f64 (.f64 y y) (-.f64 (.f64 x x) 1/4)) (.f64 y (+.f64 x 1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 y -1/2) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 y -1/2) (-.f64 (.f64 y -1/2) (*.f64 y x))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (.f64 (pow.f64 y 3) -1/8)) 1) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 y -1/2) (*.f64 y (-.f64 -1/2 x)))))
(/.f64 (.f64 (pow.f64 y 3) (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 y (.f64 (.f64 y -1/2) (-.f64 -1/2 x)) (pow.f64 (.f64 y x) 2)))
(.f64 (/.f64 (pow.f64 y 3) (fma.f64 y (.f64 (.f64 y -1/2) (-.f64 -1/2 x)) (pow.f64 (.f64 y x) 2))) (+.f64 (pow.f64 x 3) -1/8))
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2)))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -1/2)))))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(exp.f64 (.f64 (log.f64 (.f64 y (+.f64 x -1/2))) 1))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 y x (*.f64 y -1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 y -1/2 (*.f64 y x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 x y (*.f64 y -1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 -1/2 y (*.f64 y x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 1 (.f64 y x) (.f64 y -1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 1 (.f64 y -1/2) (.f64 y x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (*.f64 y -1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 y -1/2)) (*.f64 y x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (.f64 y x)) (*.f64 y -1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y -1/2)) 2) (cbrt.f64 (.f64 y -1/2)) (*.f64 y x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))

eval15.0ms (0.5%)

Compiler: Compiled 709 to 450 computations (36.5% saved)

prune11.0ms (0.3%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	55	9	64

Error

Counts

64 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
✓	24.3b	(-.f64 918938533204673/1000000000000000 x)
✓	38.9b	(+.f64 (.f64 y x) (.f64 y -1/2))
✓	30.4b	(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
✓	33.5b	(*.f64 (-.f64 y 1) x)
✓	38.9b	(*.f64 y (-.f64 x 1/2))
✓	54.2b	(*.f64 y x)
✓	47.6b	(*.f64 y -1/2)
✓	41.9b	(neg.f64 x)

Compiler

Compiled 60 to 44 computations (26.7% saved)

regimes31.0ms (1%)

Counts

12 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 y -1/2)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(*.f64 (-.f64 y 1) x)
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
(+.f64 (.f64 y x) (.f64 y -1/2))
(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))

Outputs
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)

Calls

4 calls:

9.0ms	y
8.0ms	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))
7.0ms	x
5.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)`
0.0b	1	`(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))`

Compiler

Compiled 102 to 67 computations (34.3% saved)

regimes37.0ms (1.2%)

Counts

9 → 3

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 y -1/2)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(*.f64 (-.f64 y 1) x)
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
(+.f64 (.f64 y x) (.f64 y -1/2))
(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)

Outputs
(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)

Calls

2 calls:

18.0ms	x
16.0ms	y

Results

Error	Segments	Branch
1.5b	3	`x`
0.7b	3	`y`

Compiler

Compiled 50 to 30 computations (40% saved)

bsearch34.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	3.825155471350452e-19	1.5539546684482133e-8
14.0ms	-1.3310879514854135e-9	-5.889957571586877e-14

Results

30.0ms

288×

body

256

valid

Compiler

Compiled 342 to 266 computations (22.2% saved)

regimes34.0ms (1.1%)

Counts

8 → 3

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 y -1/2)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(*.f64 (-.f64 y 1) x)
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
(+.f64 (.f64 y x) (.f64 y -1/2))

Outputs
(+.f64 (.f64 y x) (.f64 y -1/2))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))

Calls

2 calls:

16.0ms	y
16.0ms	x

Results

Error	Segments	Branch
2.1b	3	`x`
1.5b	3	`y`

Compiler

Compiled 41 to 25 computations (39% saved)

bsearch36.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.009922008998199474	240087162224355140.0
16.0ms	-951309.0934928996	-0.654716074064779

Results

32.0ms	320×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 316 to 243 computations (23.1% saved)

regimes31.0ms (1%)

Counts

7 → 3

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 y -1/2)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(*.f64 (-.f64 y 1) x)
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)

Outputs
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))

Calls

2 calls:

15.0ms	y
14.0ms	x

Results

Error	Segments	Branch
2.1b	3	`x`
1.6b	3	`y`

Compiler

Compiled 34 to 22 computations (35.3% saved)

bsearch34.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.009922008998199474	240087162224355140.0
17.0ms	-951309.0934928996	-0.654716074064779

Results

30.0ms

320×

body

256

valid

Compiler

Compiled 298 to 234 computations (21.5% saved)

regimes42.0ms (1.3%)

Counts

4 → 4

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 y -1/2)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)

Outputs
(*.f64 y -1/2)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y x)
(*.f64 y -1/2)

Calls

2 calls:

25.0ms	x
16.0ms	y

Results

Error	Segments	Branch
17.6b	7	`x`
7.7b	4	`y`

Compiler

Compiled 19 to 12 computations (36.8% saved)

bsearch54.0ms (1.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
17.0ms	3.340866690537759e+148	1.0376539589924577e+152
19.0ms	0.009922008998199474	240087162224355140.0
17.0ms	-951309.0934928996	-0.654716074064779

Results

45.0ms	448×	body	256	valid
3.0ms	36×	body	256	infinite

Compiler

Compiled 354 to 275 computations (22.3% saved)

regimes35.0ms (1.1%)

Counts

3 → 4

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 y -1/2)
(*.f64 y x)

Outputs
(*.f64 y -1/2)
(neg.f64 x)
(*.f64 y x)
(*.f64 y -1/2)

Calls

2 calls:

21.0ms	x
13.0ms	y

Results

Error	Segments	Branch
25.2b	6	`x`
25.1b	4	`y`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch55.0ms (1.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
18.0ms	3.340866690537759e+148	1.0376539589924577e+152
21.0ms	0.009922008998199474	240087162224355140.0
16.0ms	-951309.0934928996	-0.654716074064779

Results

46.0ms	448×	body	256	valid
4.0ms	42×	body	256	infinite

Compiler

Compiled 334 to 255 computations (23.7% saved)

regimes19.0ms (0.6%)

Accuracy

Total -35.2b remaining (-128.7%)

Threshold costs -35.2b (-128.7%)

Counts

2 → 3

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 y -1/2)

Outputs
(*.f64 y -1/2)
(neg.f64 x)
(*.f64 y -1/2)

Calls

2 calls:

9.0ms	y
9.0ms	x

Results

Error	Segments	Branch
27.4b	3	`x`
27.3b	3	`y`

Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch35.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.009922008998199474	240087162224355140.0
16.0ms	-951309.0934928996	-0.654716074064779

Results

32.0ms

320×

body

256

valid

Compiler

Compiled 238 to 194 computations (18.5% saved)

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative`
16×	`*-commutative`
12×	`sub-neg`
6×	`neg-mul-1`
6×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	334
1	97	334
2	110	334
3	115	334
4	117	334

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(if (<=.f64 y -332454600394023/302231454903657293676544) (+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000) (if (<=.f64 y 7253554917687775/604462909807314587353088) (-.f64 918938533204673/1000000000000000 x) (+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)))
(if (<=.f64 y -6124895493223875/4503599627370496) (+.f64 (.f64 y x) (.f64 y -1/2)) (if (<=.f64 y 8196551321814303/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (*.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -6530219459687219/4503599627370496) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 799388933858263/562949953421312) (-.f64 918938533204673/1000000000000000 x) (.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -170) (.f64 y -1/2) (if (<=.f64 y 5404319552844595/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 92000000000000002234487831490076360354007984674814267909414646314426541870934525127335525336380924274619368470187803084726035808935151797677779320832) (.f64 y x) (*.f64 y -1/2))))
(if (<=.f64 y -1080863910568919/1125899906842624) (.f64 y -1/2) (if (<=.f64 y 1) (neg.f64 x) (if (<=.f64 y 100000000000000004897672657515052057957222700353074388874504237459016826359338475616123152924727646379311306468151027676205343291866258521710227619840) (.f64 y x) (*.f64 y -1/2))))
(if (<=.f64 y -2589569785738035/2251799813685248) (.f64 y -1/2) (if (<=.f64 y 4728779608739021/4503599627370496) (neg.f64 x) (.f64 y -1/2)))
(neg.f64 x)

Outputs
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(if (<=.f64 y -332454600394023/302231454903657293676544) (+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000) (if (<=.f64 y 7253554917687775/604462909807314587353088) (-.f64 918938533204673/1000000000000000 x) (+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)))
(if (or (<=.f64 y -332454600394023/302231454903657293676544) (not (<=.f64 y 7253554917687775/604462909807314587353088))) (+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y x) (.f64 y 1/2))) (-.f64 918938533204673/1000000000000000 x))
(if (or (<=.f64 y -332454600394023/302231454903657293676544) (not (<=.f64 y 7253554917687775/604462909807314587353088))) (+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 y -1/2))) (-.f64 918938533204673/1000000000000000 x))
(if (<=.f64 y -6124895493223875/4503599627370496) (+.f64 (.f64 y x) (.f64 y -1/2)) (if (<=.f64 y 8196551321814303/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (*.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -6124895493223875/4503599627370496) (+.f64 (.f64 y x) (.f64 y -1/2)) (if (<=.f64 y 8196551321814303/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))))
(if (<=.f64 y -6530219459687219/4503599627370496) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 799388933858263/562949953421312) (-.f64 918938533204673/1000000000000000 x) (.f64 y (-.f64 x 1/2))))
(if (or (<=.f64 y -6530219459687219/4503599627370496) (not (<=.f64 y 799388933858263/562949953421312))) (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))
(if (<=.f64 y -170) (.f64 y -1/2) (if (<=.f64 y 5404319552844595/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 92000000000000002234487831490076360354007984674814267909414646314426541870934525127335525336380924274619368470187803084726035808935151797677779320832) (.f64 y x) (*.f64 y -1/2))))
(if (<=.f64 y -1080863910568919/1125899906842624) (.f64 y -1/2) (if (<=.f64 y 1) (neg.f64 x) (if (<=.f64 y 100000000000000004897672657515052057957222700353074388874504237459016826359338475616123152924727646379311306468151027676205343291866258521710227619840) (.f64 y x) (*.f64 y -1/2))))
(if (<=.f64 y -2589569785738035/2251799813685248) (.f64 y -1/2) (if (<=.f64 y 4728779608739021/4503599627370496) (neg.f64 x) (.f64 y -1/2)))
(neg.f64 x)

Compiler

Compiled 151 to 107 computations (29.1% saved)

soundness221.0ms (7%)

Algorithm

1×	egg-herbie

Rules

1392×	`fma-def`
764×	`associate-+l+`
706×	`associate-+l-`
678×	`associate--r+`
540×	`associate-+r+`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	30	27
2	66	23
3	126	23
4	263	21
5	614	21
6	1497	21
7	2817	21
8	3922	21
9	4054	21
10	4081	21

Stop Event

1×

saturated

Compiler

Compiled 222 to 160 computations (27.9% saved)

end75.0ms (2.4%)

Compiler: Compiled 137 to 88 computations (35.8% saved)

Details

analyze62.0ms (1.9%)

sample1.1s (34.8%)

preprocess138.0ms (4.3%)

simplify74.0ms (2.3%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize15.0ms (0.5%)

series2.0ms (0.1%)

rewrite49.0ms (1.5%)

simplify55.0ms (1.7%)

localize8.0ms (0.3%)

series2.0ms (0.1%)

rewrite71.0ms (2.2%)

simplify76.0ms (2.4%)

eval40.0ms (1.3%)

prune19.0ms (0.6%)

localize11.0ms (0.4%)

series2.0ms (0.1%)

rewrite87.0ms (2.7%)

simplify115.0ms (3.6%)

localize4.0ms (0.1%)

localize5.0ms (0.2%)

localize5.0ms (0.2%)

series0.0ms (0%)

rewrite50.0ms (1.6%)

simplify54.0ms (1.7%)

localize6.0ms (0.2%)

eval122.0ms (3.8%)

prune46.0ms (1.4%)

localize2.0ms (0.1%)

localize3.0ms (0.1%)

localize3.0ms (0.1%)

localize7.0ms (0.2%)

series2.0ms (0.1%)

rewrite60.0ms (1.9%)

simplify66.0ms (2.1%)

eval15.0ms (0.5%)

prune11.0ms (0.3%)

regimes31.0ms (1%)

regimes37.0ms (1.2%)

bsearch34.0ms (1.1%)

regimes34.0ms (1.1%)

bsearch36.0ms (1.1%)

regimes31.0ms (1%)

bsearch34.0ms (1.1%)

regimes42.0ms (1.3%)

bsearch54.0ms (1.7%)

regimes35.0ms (1.1%)

bsearch55.0ms (1.7%)

regimes19.0ms (0.6%)

bsearch35.0ms (1.1%)

simplify12.0ms (0.4%)

soundness221.0ms (7%)

end75.0ms (2.4%)

Profiling