Metrics for Kahan p13 Example 3

analyze300.0ms (3.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
50%	50%	50%	0%	0%	0%	0%	5
50%	50%	50%	0%	0%	0%	0%	6
50%	50%	50%	0%	0%	0%	0%	7
50%	50%	50%	0%	0%	0%	0%	8
50%	50%	50%	0%	0%	0%	0%	9
50%	50%	50%	0%	0%	0%	0%	10
50%	50%	50%	0%	0%	0%	0%	11
50%	50%	49.9%	0%	0%	0%	0%	12

Compiler

Compiled 31 to 13 computations (58.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 177.0ms

ival-div: 71.0ms (40.2% of total)

ival-sub: 45.0ms (25.5% of total)

ival-mult: 36.0ms (20.4% of total)

ival-add: 21.0ms (11.9% of total)

const: 3.0ms (1.7% of total)

backward-pass: 1.0ms (0.6% of total)

sample1.8s (22.9%)

Results

1.2s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 903.0ms

ival-sub: 349.0ms (38.6% of total)

ival-div: 337.0ms (37.3% of total)

ival-mult: 114.0ms (12.6% of total)

ival-add: 86.0ms (9.5% of total)

const: 14.0ms (1.6% of total)

backward-pass: 3.0ms (0.3% of total)

Bogosity

preprocess243.0ms (3.1%)

Algorithm

2×	egg-herbie

Rules

1822×	`sum5-define`
1778×	`sum4-define`
1484×	`+-lowering-+.f64`
1484×	`+-lowering-+.f32`
1238×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	53
1	54	48
2	138	48
3	411	39
4	1595	39
5	7110	39
0	12	16
1	25	16
2	55	16
3	156	13
4	623	13
5	2840	13
0	8210	13

Stop Event

1×	iter limit
1×	node limit
1×	node limit

Calls

Call 1

Inputs
(- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))))

Outputs

(- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))))

(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))

Call 2

Inputs

(- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))))

(- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))) (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t)))))))))

(neg (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))) (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))))))))

Outputs
(- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))))
(+ 1 (recip (- -2 (square (+ 2 (/ 2 (- -1 t)))))))
(- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))) (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t)))))))))
(+ 1 (recip (- -2 (square (+ 2 (/ 2 (+ t -1)))))))
(neg (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))) (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))))))))
(+ (recip (+ 2 (square (+ 2 (/ 2 (+ t -1)))))) -1)

explain238.0ms (3.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
125	-	-	`(-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))`
0	-	-	`(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))`
0	-	-	`(/.f64 #s(literal 1 binary64) t)`
0	-	-	`(+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))`
0	-	-	`(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`t`
0	-	-	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))`
0	-	-	`(/.f64 #s(literal 2 binary64) t)`
0	-	-	`(/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))`

Results

48.0ms	100×	2	valid
48.0ms	138×	1	valid
30.0ms	274×	0	valid

Compiler

Compiled 310 to 38 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-div: 25.0ms (34.7% of total)

ival-add: 14.0ms (19.5% of total)

ival-mult: 14.0ms (19.5% of total)

backward-pass: 9.0ms (12.5% of total)

ival-sub: 9.0ms (12.5% of total)

const: 2.0ms (2.8% of total)

eval0.0ms (0%)

Compiler: Compiled 20 to 15 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))

Status

Accuracy

Program

▶

100.0%

(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))

Compiler

Compiled 20 to 15 computations (25% saved)

simplify145.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)))
✓	cost-diff	128	(+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))

Rules

3072×	`sum5-define`
2092×	`sum4-define`
1784×	`sum3-define`
1416×	`fnmadd-define`
1182×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	91
1	33	88
2	78	83
3	109	83
4	141	83
5	195	83
6	371	83
7	1430	83
8	3055	83
9	6032	83
0	8012	83

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ 1 (/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4)))))
1
(/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4))))
(+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4)))
-6
(* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4))
(/ 2 (+ 1 t))
2
(+ 1 t)
t
(+ (/ 2 (- -1 t)) 4)
(/ 2 (- -1 t))
(- -1 t)
-1
4

Outputs
(+ 1 (/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 1 binary64) t)))))
1
#s(literal 1 binary64)
(/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 1 binary64) t))))
(+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4)))
(+.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 1 binary64) t)))
-6
#s(literal -6 binary64)
(* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4))
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 1 binary64) t))
(/ 2 (+ 1 t))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t))
2
#s(literal 2 binary64)
(+ 1 t)
(+.f64 #s(literal 1 binary64) t)
t
(+ (/ 2 (- -1 t)) 4)
(+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))
(/ 2 (- -1 t))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t))
(- -1 t)
(-.f64 #s(literal -1 binary64) t)
-1
#s(literal -1 binary64)
4
#s(literal 4 binary64)

localize63.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)))))
✓	accuracy	100.0%	(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)))

Results

44.0ms

256×

valid

Compiler

Compiled 95 to 16 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 6.0ms (36.8% of total)

ival-add: 6.0ms (36.8% of total)

ival-mult: 3.0ms (18.4% of total)

ival-sub: 1.0ms (6.1% of total)

const: 1.0ms (6.1% of total)

backward-pass: 0.0ms (0% of total)

series3.0ms (0%)

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (+ 1 (/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4)))))>
#<alt (/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4))))>
#<alt (+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4)))>
#<alt (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4))>
#<alt (+ (/ 2 (- -1 t)) 4)>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (pow t 2))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))>
#<alt (- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))>
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))>
#<alt -1/2>
#<alt (- (pow t 2) 1/2)>
#<alt (- (* (pow t 2) (+ 1 (* -2 t))) 1/2)>
#<alt (- (* (pow t 2) (+ 1 (* t (- t 2)))) 1/2)>
#<alt -1/6>
#<alt (* -1 (+ 1/6 (* 2/9 (/ 1 t))))>
#<alt (- (/ 1/27 (pow t 2)) (+ 1/6 (* 2/9 (/ 1 t))))>
#<alt (- (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3)))) (+ 1/6 (* 2/9 (/ 1 t))))>
#<alt -1/6>
#<alt (* -1 (+ 1/6 (* 2/9 (/ 1 t))))>
#<alt (- (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)) 1/6)>
#<alt (- (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)) 1/6)>
#<alt -2>
#<alt (- (* -4 (pow t 2)) 2)>
#<alt (- (* (pow t 2) (- (* 8 t) 4)) 2)>
#<alt (- (* (pow t 2) (- (* t (+ 8 (* -12 t))) 4)) 2)>
#<alt -6>
#<alt (- (* 8 (/ 1 t)) 6)>
#<alt (- (* 8 (/ 1 t)) (+ 6 (/ 12 (pow t 2))))>
#<alt (- (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))) (+ 6 (/ 12 (pow t 2))))>
#<alt -6>
#<alt (- (* 8 (/ 1 t)) 6)>
#<alt (- (* -1 (/ (- (* 12 (/ 1 t)) 8) t)) 6)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 t)) 12) t)) 8) t)) 6)>
#<alt 4>
#<alt (+ 4 (* -4 (pow t 2)))>
#<alt (+ 4 (* (pow t 2) (- (* 8 t) 4)))>
#<alt (+ 4 (* (pow t 2) (- (* t (+ 8 (* -12 t))) 4)))>
#<alt (/ 8 t)>
#<alt (/ (- 8 (* 12 (/ 1 t))) t)>
#<alt (/ (- (+ 8 (/ 16 (pow t 2))) (* 12 (/ 1 t))) t)>
#<alt (/ (- (+ 8 (/ 16 (pow t 2))) (+ (* 12 (/ 1 t)) (* 20 (/ 1 (pow t 3))))) t)>
#<alt (/ 8 t)>
#<alt (* -1 (/ (- (* 12 (/ 1 t)) 8) t))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 t)) 12) t)) 8) t))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20 (/ 1 t)) 16) t)) 12) t)) 8) t))>
#<alt 2>
#<alt (+ 2 (* 2 t))>
#<alt (+ 2 (* t (+ 2 (* -2 t))))>
#<alt (+ 2 (* t (+ 2 (* t (- (* 2 t) 2)))))>
#<alt 4>
#<alt (- 4 (* 2 (/ 1 t)))>
#<alt (- (+ 4 (/ 2 (pow t 2))) (* 2 (/ 1 t)))>
#<alt (- (+ 4 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3)))))>
#<alt 4>
#<alt (- 4 (* 2 (/ 1 t)))>
#<alt (+ 4 (* -1 (/ (- 2 (* 2 (/ 1 t))) t)))>
#<alt (+ 4 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) t)))>

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(+ 1 (/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4)))))
0.0ms	t	@	-inf	(+ 1 (/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4)))))
0.0ms	t	@	inf	(+ 1 (/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4)))))
0.0ms	t	@	-inf	(+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4)))
0.0ms	t	@	-inf	(* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4))

rewrite373.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4142×	`/-lowering-/.f32`
4142×	`/-lowering-/.f64`
3334×	`-lowering-.f32`
3334×	`-lowering-.f64`
1744×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	69
1	114	66
2	1140	62
0	8610	62

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 430

Calls

Call 1

Inputs
(+ 1 (/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4)))))
(/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4))))
(+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4)))
(* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4))
(+ (/ 2 (- -1 t)) 4)

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))))))) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))))) (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64)))))))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))))))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))))) (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal -2 binary64)))) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (-.f64 #s(literal -1 binary64) t) (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #s(literal 64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)))))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (-.f64 #s(literal -1 binary64) t) (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #s(literal 64 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 1 binary64) t)))))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (-.f64 #s(literal -1 binary64) t) (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal -2 binary64)))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal -16 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (-.f64 #s(literal -1 binary64) t) (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #s(literal 64 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 1 binary64) t))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (-.f64 #s(literal -1 binary64) t) (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #s(literal 64 binary64))) (neg.f64 (+.f64 #s(literal 16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal -16 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64))))
(/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64))) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64)) #s(literal 16 binary64))) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (-.f64 #s(literal -1 binary64) t) (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #s(literal 64 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 1 binary64) t)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal -16 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))) (neg.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64)))) (+.f64 (.f64 (/.f64 #s(literal 16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64)))) (.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64)))) (.f64 (/.f64 #s(literal 16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64))))) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (-.f64 #s(literal -1 binary64) t) (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 1 binary64) t))))))
(.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (-.f64 #s(literal -1 binary64) t) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal -2 binary64))))))
(.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (-.f64 #s(literal -1 binary64) t) (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 1 binary64) t)))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64)))))
(.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)))))

simplify212.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2534×	`-lowering-.f32`
2534×	`-lowering-.f64`
2066×	`+-lowering-+.f64`
2066×	`+-lowering-+.f32`
1476×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	500
1	482	432
2	1240	422
3	3129	416
0	8302	416

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
-1/2
(- (pow t 2) 1/2)
(- (* (pow t 2) (+ 1 (* -2 t))) 1/2)
(- (* (pow t 2) (+ 1 (* t (- t 2)))) 1/2)
-1/6
(* -1 (+ 1/6 (* 2/9 (/ 1 t))))
(- (/ 1/27 (pow t 2)) (+ 1/6 (* 2/9 (/ 1 t))))
(- (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3)))) (+ 1/6 (* 2/9 (/ 1 t))))
-1/6
(* -1 (+ 1/6 (* 2/9 (/ 1 t))))
(- (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)) 1/6)
(- (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)) 1/6)
-2
(- (* -4 (pow t 2)) 2)
(- (* (pow t 2) (- (* 8 t) 4)) 2)
(- (* (pow t 2) (- (* t (+ 8 (* -12 t))) 4)) 2)
-6
(- (* 8 (/ 1 t)) 6)
(- (* 8 (/ 1 t)) (+ 6 (/ 12 (pow t 2))))
(- (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))) (+ 6 (/ 12 (pow t 2))))
-6
(- (* 8 (/ 1 t)) 6)
(- (* -1 (/ (- (* 12 (/ 1 t)) 8) t)) 6)
(- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 t)) 12) t)) 8) t)) 6)
4
(+ 4 (* -4 (pow t 2)))
(+ 4 (* (pow t 2) (- (* 8 t) 4)))
(+ 4 (* (pow t 2) (- (* t (+ 8 (* -12 t))) 4)))
(/ 8 t)
(/ (- 8 (* 12 (/ 1 t))) t)
(/ (- (+ 8 (/ 16 (pow t 2))) (* 12 (/ 1 t))) t)
(/ (- (+ 8 (/ 16 (pow t 2))) (+ (* 12 (/ 1 t)) (* 20 (/ 1 (pow t 3))))) t)
(/ 8 t)
(* -1 (/ (- (* 12 (/ 1 t)) 8) t))
(* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 t)) 12) t)) 8) t))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20 (/ 1 t)) 16) t)) 12) t)) 8) t))
2
(+ 2 (* 2 t))
(+ 2 (* t (+ 2 (* -2 t))))
(+ 2 (* t (+ 2 (* t (- (* 2 t) 2)))))
4
(- 4 (* 2 (/ 1 t)))
(- (+ 4 (/ 2 (pow t 2))) (* 2 (/ 1 t)))
(- (+ 4 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3)))))
4
(- 4 (* 2 (/ 1 t)))
(+ 4 (* -1 (/ (- 2 (* 2 (/ 1 t))) t)))
(+ 4 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) t)))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) t) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))) (/.f64 #s(literal -2/9 binary64) t)))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))
-1/2
#s(literal -1/2 binary64)
(- (pow t 2) 1/2)
(+.f64 (*.f64 t t) #s(literal -1/2 binary64))
(- (* (pow t 2) (+ 1 (* -2 t))) 1/2)
(+.f64 (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))) #s(literal -1/2 binary64))
(- (* (pow t 2) (+ 1 (* t (- t 2)))) 1/2)
(+.f64 (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) #s(literal -1/2 binary64))
-1/6
#s(literal -1/6 binary64)
(* -1 (+ 1/6 (* 2/9 (/ 1 t))))
(+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- (/ 1/27 (pow t 2)) (+ 1/6 (* 2/9 (/ 1 t))))
(+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(- (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3)))) (+ 1/6 (* 2/9 (/ 1 t))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) t) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -2/9 binary64) t)))
-1/6
#s(literal -1/6 binary64)
(* -1 (+ 1/6 (* 2/9 (/ 1 t))))
(+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)) 1/6)
(+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(- (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)) 1/6)
(-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))
-2
#s(literal -2 binary64)
(- (* -4 (pow t 2)) 2)
(+.f64 #s(literal -2 binary64) (.f64 t (.f64 t #s(literal -4 binary64))))
(- (* (pow t 2) (- (* 8 t) 4)) 2)
(+.f64 #s(literal -2 binary64) (.f64 t (.f64 t (+.f64 #s(literal -4 binary64) (*.f64 t #s(literal 8 binary64))))))
(- (* (pow t 2) (- (* t (+ 8 (* -12 t))) 4)) 2)
(+.f64 #s(literal -2 binary64) (.f64 t (.f64 t (+.f64 #s(literal -4 binary64) (.f64 t (+.f64 #s(literal 8 binary64) (.f64 t #s(literal -12 binary64))))))))
-6
#s(literal -6 binary64)
(- (* 8 (/ 1 t)) 6)
(+.f64 (/.f64 #s(literal 8 binary64) t) #s(literal -6 binary64))
(- (* 8 (/ 1 t)) (+ 6 (/ 12 (pow t 2))))
(+.f64 (/.f64 (-.f64 #s(literal 8 binary64) (/.f64 #s(literal 12 binary64) t)) t) #s(literal -6 binary64))
(- (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))) (+ 6 (/ 12 (pow t 2))))
(+.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 #s(literal -12 binary64) (/.f64 #s(literal 16 binary64) t)) t)) t))
-6
#s(literal -6 binary64)
(- (* 8 (/ 1 t)) 6)
(+.f64 (/.f64 #s(literal 8 binary64) t) #s(literal -6 binary64))
(- (* -1 (/ (- (* 12 (/ 1 t)) 8) t)) 6)
(+.f64 (/.f64 (-.f64 #s(literal 8 binary64) (/.f64 #s(literal 12 binary64) t)) t) #s(literal -6 binary64))
(- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 t)) 12) t)) 8) t)) 6)
(+.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 #s(literal -12 binary64) (/.f64 #s(literal 16 binary64) t)) t)) t))
4
#s(literal 4 binary64)
(+ 4 (* -4 (pow t 2)))
(+.f64 (.f64 t (.f64 t #s(literal -4 binary64))) #s(literal 4 binary64))
(+ 4 (* (pow t 2) (- (* 8 t) 4)))
(+.f64 #s(literal 4 binary64) (.f64 t (.f64 t (+.f64 #s(literal -4 binary64) (*.f64 t #s(literal 8 binary64))))))
(+ 4 (* (pow t 2) (- (* t (+ 8 (* -12 t))) 4)))
(+.f64 #s(literal 4 binary64) (.f64 t (.f64 t (+.f64 #s(literal -4 binary64) (.f64 t (+.f64 #s(literal 8 binary64) (.f64 t #s(literal -12 binary64))))))))
(/ 8 t)
(/.f64 #s(literal 8 binary64) t)
(/ (- 8 (* 12 (/ 1 t))) t)
(/.f64 (-.f64 #s(literal 8 binary64) (/.f64 #s(literal 12 binary64) t)) t)
(/ (- (+ 8 (/ 16 (pow t 2))) (* 12 (/ 1 t))) t)
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 #s(literal -12 binary64) (/.f64 #s(literal 16 binary64) t)) t)) t)
(/ (- (+ 8 (/ 16 (pow t 2))) (+ (* 12 (/ 1 t)) (* 20 (/ 1 (pow t 3))))) t)
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (-.f64 #s(literal -12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 20 binary64) t) #s(literal -16 binary64)) t)) t)) t)
(/ 8 t)
(/.f64 #s(literal 8 binary64) t)
(* -1 (/ (- (* 12 (/ 1 t)) 8) t))
(/.f64 (-.f64 #s(literal 8 binary64) (/.f64 #s(literal 12 binary64) t)) t)
(* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 t)) 12) t)) 8) t))
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 #s(literal -12 binary64) (/.f64 #s(literal 16 binary64) t)) t)) t)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20 (/ 1 t)) 16) t)) 12) t)) 8) t))
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (-.f64 #s(literal -12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 20 binary64) t) #s(literal -16 binary64)) t)) t)) t)
2
#s(literal 2 binary64)
(+ 2 (* 2 t))
(+.f64 #s(literal 2 binary64) (*.f64 t #s(literal 2 binary64)))
(+ 2 (* t (+ 2 (* -2 t))))
(+.f64 #s(literal 2 binary64) (.f64 t (+.f64 #s(literal 2 binary64) (.f64 t #s(literal -2 binary64)))))
(+ 2 (* t (+ 2 (* t (- (* 2 t) 2)))))
(+.f64 #s(literal 2 binary64) (.f64 t (+.f64 #s(literal 2 binary64) (.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t #s(literal 2 binary64)))))))
4
#s(literal 4 binary64)
(- 4 (* 2 (/ 1 t)))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) t))
(- (+ 4 (/ 2 (pow t 2))) (* 2 (/ 1 t)))
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) t))
(- (+ 4 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3)))))
(-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) t)) t))
4
#s(literal 4 binary64)
(- 4 (* 2 (/ 1 t)))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) t))
(+ 4 (* -1 (/ (- 2 (* 2 (/ 1 t))) t)))
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) t))
(+ 4 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) t)))
(-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) t)) t))

eval91.0ms (1.2%)

Compiler: Compiled 18526 to 2514 computations (86.4% saved)

prune73.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	481	9	490
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	481	10	491

Accuracy

100.0%

Counts

491 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.0%	(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))
✓	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))
	52.7%	(+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)))
	52.7%	(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
▶	52.0%	(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
▶	50.8%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
▶	50.2%	(+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
	51.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
▶	59.4%	#s(literal 5/6 binary64)
▶	58.6%	#s(literal 1/2 binary64)

Compiler

Compiled 176 to 137 computations (22.2% saved)

simplify27.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
✓	cost-diff	(*.f64 t t)
✓	cost-diff	(.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))
✓	cost-diff	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
✓	cost-diff	(.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))
✓	cost-diff	(.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
✓	cost-diff	(+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
✓	cost-diff	(/.f64 #s(literal -2/9 binary64) t)
✓	cost-diff	(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))

Rules

566×	`fma-define`
518×	`fma-lowering-fma.f32`
518×	`fma-lowering-fma.f64`
176×	`-lowering-.f32`
176×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	93
1	50	84
2	131	83
3	350	83
4	558	83
5	691	83
6	725	83
0	725	83

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
5/6
1/2
(+ 5/6 (/ -2/9 t))
5/6
(/ -2/9 t)
-2/9
t
(+ 1/2 (* t (* t (+ 1 (* t -2)))))
1/2
(* t (* t (+ 1 (* t -2))))
t
(* t (+ 1 (* t -2)))
(+ 1 (* t -2))
1
(* t -2)
-2
(+ 1/2 (* (* t t) (+ 1 (* t (+ t -2)))))
1/2
(* (* t t) (+ 1 (* t (+ t -2))))
(* t t)
t
(+ 1 (* t (+ t -2)))
1
(* t (+ t -2))
(+ t -2)
-2

Outputs
5/6
#s(literal 5/6 binary64)
1/2
#s(literal 1/2 binary64)
(+ 5/6 (/ -2/9 t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
5/6
#s(literal 5/6 binary64)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
-2/9
#s(literal -2/9 binary64)
t
(+ 1/2 (* t (* t (+ 1 (* t -2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
1/2
#s(literal 1/2 binary64)
(* t (* t (+ 1 (* t -2))))
(.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
t
(* t (+ 1 (* t -2)))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))
(+ 1 (* t -2))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(* t -2)
(*.f64 t #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(+ 1/2 (* (* t t) (+ 1 (* t (+ t -2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
1/2
#s(literal 1/2 binary64)
(* (* t t) (+ 1 (* t (+ t -2))))
(.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))
(* t t)
(*.f64 t t)
t
(+ 1 (* t (+ t -2)))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(* t (+ t -2))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(+ t -2)
(+.f64 t #s(literal -2 binary64))
-2
#s(literal -2 binary64)

localize85.0ms (1.1%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 t t)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
✓	accuracy	100.0%	(*.f64 t (+.f64 t #s(literal -2 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
✓	accuracy	100.0%	(*.f64 t #s(literal -2 binary64))
✓	accuracy	100.0%	(.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))
✓	accuracy	99.9%	(.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
✓	accuracy	100.0%	(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
✓	accuracy	99.5%	(/.f64 #s(literal -2/9 binary64) t)

Results

56.0ms

256×

valid

Compiler

Compiled 100 to 20 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 10.0ms (32.6% of total)

...c/correct-round.rkt:119:19: 10.0ms (32.6% of total)

ival-add: 7.0ms (22.8% of total)

ival-div: 2.0ms (6.5% of total)

const: 1.0ms (3.3% of total)

backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (+ 5/6 (/ -2/9 t))>
#<alt (/ -2/9 t)>
#<alt (+ 1/2 (* t (* t (+ 1 (* t -2)))))>
#<alt (* t (* t (+ 1 (* t -2))))>
#<alt (* t (+ 1 (* t -2)))>
#<alt (+ 1 (* t -2))>
#<alt (+ 1/2 (* (* t t) (+ 1 (* t (+ t -2)))))>
#<alt (* (* t t) (+ 1 (* t (+ t -2))))>
#<alt (* t t)>
#<alt (+ 1 (* t (+ t -2)))>
#<alt (* t -2)>
#<alt (* t (+ t -2))>

Outputs
#<alt (/ -2/9 t)>
#<alt (/ (- (* 5/6 t) 2/9) t)>
#<alt (/ (- (* 5/6 t) 2/9) t)>
#<alt (/ (- (* 5/6 t) 2/9) t)>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt 1/2>
#<alt (+ 1/2 (pow t 2))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))>
#<alt (* -2 (pow t 3))>
#<alt (* (pow t 3) (- (/ 1 t) 2))>
#<alt (* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))>
#<alt (* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))>
#<alt (* -2 (pow t 3))>
#<alt (* -1 (* (pow t 3) (- 2 (/ 1 t))))>
#<alt (* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))>
#<alt (* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (+ 1 (* -2 t)))>
#<alt (* (pow t 2) (+ 1 (* -2 t)))>
#<alt (* (pow t 2) (+ 1 (* -2 t)))>
#<alt (* -2 (pow t 3))>
#<alt (* (pow t 3) (- (/ 1 t) 2))>
#<alt (* (pow t 3) (- (/ 1 t) 2))>
#<alt (* (pow t 3) (- (/ 1 t) 2))>
#<alt (* -2 (pow t 3))>
#<alt (* -1 (* (pow t 3) (- 2 (/ 1 t))))>
#<alt (* -1 (* (pow t 3) (- 2 (/ 1 t))))>
#<alt (* -1 (* (pow t 3) (- 2 (/ 1 t))))>
#<alt t>
#<alt (* t (+ 1 (* -2 t)))>
#<alt (* t (+ 1 (* -2 t)))>
#<alt (* t (+ 1 (* -2 t)))>
#<alt (* -2 (pow t 2))>
#<alt (* (pow t 2) (- (/ 1 t) 2))>
#<alt (* (pow t 2) (- (/ 1 t) 2))>
#<alt (* (pow t 2) (- (/ 1 t) 2))>
#<alt (* -2 (pow t 2))>
#<alt (* (pow t 2) (- (/ 1 t) 2))>
#<alt (* (pow t 2) (- (/ 1 t) 2))>
#<alt (* (pow t 2) (- (/ 1 t) 2))>
#<alt 1>
#<alt (+ 1 (* -2 t))>
#<alt (+ 1 (* -2 t))>
#<alt (+ 1 (* -2 t))>
#<alt (* -2 t)>
#<alt (* t (- (/ 1 t) 2))>
#<alt (* t (- (/ 1 t) 2))>
#<alt (* t (- (/ 1 t) 2))>
#<alt (* -2 t)>
#<alt (* -1 (* t (- 2 (/ 1 t))))>
#<alt (* -1 (* t (- 2 (/ 1 t))))>
#<alt (* -1 (* t (- 2 (/ 1 t))))>
#<alt 1/2>
#<alt (+ 1/2 (pow t 2))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))>
#<alt (pow t 4)>
#<alt (* (pow t 4) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (- (+ 1 (+ (/ 1 (pow t 2)) (* 1/2 (/ 1 (pow t 4))))) (* 2 (/ 1 t))))>
#<alt (pow t 4)>
#<alt (* (pow t 4) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))>
#<alt (* (pow t 4) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t))) t))))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (+ 1 (* -2 t)))>
#<alt (* (pow t 2) (+ 1 (* t (- t 2))))>
#<alt (* (pow t 2) (+ 1 (* t (- t 2))))>
#<alt (pow t 4)>
#<alt (* (pow t 4) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))>
#<alt (pow t 4)>
#<alt (* (pow t 4) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))>
#<alt (* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt 1>
#<alt (+ 1 (* -2 t))>
#<alt (+ 1 (* t (- t 2)))>
#<alt (+ 1 (* t (- t 2)))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))>
#<alt (* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* t (- t 2))>
#<alt (* t (- t 2))>
#<alt (* t (- t 2))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	t	@	inf	(* t (+ t -2))
0.0ms	t	@	inf	(+ 1/2 (* t (* t (+ 1 (* t -2)))))
0.0ms	t	@	-inf	(+ 5/6 (/ -2/9 t))
0.0ms	t	@	0	(+ 5/6 (/ -2/9 t))
0.0ms	t	@	inf	(* t (* t (+ 1 (* t -2))))

rewrite357.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3132×	`-lowering-.f32`
3132×	`-lowering-.f64`
3058×	`/-lowering-/.f32`
3058×	`/-lowering-/.f64`
2222×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	77
1	133	68
2	1184	67
0	8322	67

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 396

Calls

Call 1

Inputs
(+ 5/6 (/ -2/9 t))
(/ -2/9 t)
(+ 1/2 (* t (* t (+ 1 (* t -2)))))
(* t (* t (+ 1 (* t -2))))
(* t (+ 1 (* t -2)))
(+ 1 (* t -2))
(+ 1/2 (* (* t t) (+ 1 (* t (+ t -2)))))
(* (* t t) (+ 1 (* t (+ t -2))))
(* t t)
(+ 1 (* t (+ t -2)))
(* t -2)
(* t (+ t -2))

Outputs
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64))
(+.f64 (/.f64 #s(literal 25/36 binary64) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) (neg.f64 (/.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)))))
(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))
(-.f64 (/.f64 #s(literal 25/36 binary64) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) (/.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(-.f64 (/.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64))) (/.f64 #s(literal 25/36 binary64) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64))))
(fma.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1 binary64) t) #s(literal 5/6 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64))
(fma.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1 binary64) t) #s(literal 5/6 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -2/9 binary64) #s(literal 5/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) (.f64 t t)) (-.f64 #s(literal 25/36 binary64) (/.f64 #s(literal -5/27 binary64) t))) (+.f64 #s(literal 125/216 binary64) (/.f64 #s(literal -8/729 binary64) (.f64 t (*.f64 t t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64)) (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal -25/36 binary64))))
(/.f64 (+.f64 #s(literal 125/216 binary64) (/.f64 #s(literal -8/729 binary64) (.f64 t (.f64 t t)))) (+.f64 #s(literal 25/36 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64)) (/.f64 t #s(literal -2/9 binary64)))))
(/.f64 (+.f64 #s(literal 125/216 binary64) (/.f64 #s(literal -8/729 binary64) (.f64 t (.f64 t t)))) (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) (-.f64 #s(literal 25/36 binary64) (/.f64 #s(literal -5/27 binary64) t))))
(/.f64 (-.f64 #s(literal 25/36 binary64) (/.f64 #s(literal 4/81 binary64) (*.f64 t t))) (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)))))
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(fma.f64 t #s(literal -2 binary64) (*.f64 t t))
(fma.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64)) (.f64 t t))
(fma.f64 #s(literal 1 binary64) (.f64 t t) (.f64 t #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) t (*.f64 t t))
(fma.f64 (.f64 t #s(literal -2 binary64)) #s(literal 1 binary64) (.f64 t t))
(fma.f64 (.f64 t t) #s(literal 1 binary64) (.f64 t #s(literal -2 binary64)))
(/.f64 t (/.f64 #s(literal 1 binary64) (+.f64 t #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 t t) (.f64 t t)) (-.f64 (.f64 (.f64 t t) #s(literal 4 binary64)) (.f64 (.f64 t t) (.f64 t #s(literal -2 binary64))))) (+.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) (.f64 t t))) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 t t) (.f64 t #s(literal 2 binary64))) (.f64 (.f64 t (+.f64 t #s(literal -2 binary64))) (+.f64 (.f64 t t) (.f64 t #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 t t) (+.f64 #s(literal 4 binary64) (.f64 t #s(literal 2 binary64)))) (.f64 t (+.f64 (.f64 t (*.f64 t t)) #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t #s(literal 2 binary64)) (.f64 t (+.f64 (.f64 t t) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 t t) (+.f64 #s(literal 4 binary64) (.f64 t #s(literal 2 binary64)))) (.f64 (+.f64 (.f64 t (*.f64 t t)) #s(literal -8 binary64)) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t #s(literal 2 binary64)) (.f64 (+.f64 (.f64 t t) #s(literal -4 binary64)) t)))
(/.f64 (+.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) (.f64 t t))) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64))) (+.f64 (.f64 (.f64 t t) (.f64 t t)) (-.f64 (.f64 (.f64 t t) #s(literal 4 binary64)) (.f64 (.f64 t t) (.f64 t #s(literal -2 binary64))))))
(/.f64 (.f64 t (+.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64))) (+.f64 (.f64 t t) (+.f64 #s(literal 4 binary64) (*.f64 t #s(literal 2 binary64)))))
(/.f64 (.f64 t (+.f64 (.f64 t t) #s(literal -4 binary64))) (+.f64 t #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64)) t) (+.f64 (.f64 t t) (+.f64 #s(literal 4 binary64) (*.f64 t #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 t t) #s(literal -4 binary64)) t) (+.f64 t #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 t (+.f64 t #s(literal -2 binary64))) (+.f64 (.f64 t t) (.f64 t #s(literal 2 binary64)))) (+.f64 (.f64 t t) (.f64 t #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) (.f64 t t))) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 t t) (.f64 t t)) (-.f64 (.f64 (.f64 t t) #s(literal 4 binary64)) (.f64 (.f64 t t) (.f64 t #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 t (+.f64 t #s(literal -2 binary64))) (+.f64 (.f64 t t) (.f64 t #s(literal 2 binary64))))) (neg.f64 (+.f64 (.f64 t t) (.f64 t #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 t (+.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 t t) (+.f64 #s(literal 4 binary64) (*.f64 t #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 t (+.f64 (.f64 t t) #s(literal -4 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) t) #s(literal -2 binary64)))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64)) t)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 t t) (+.f64 #s(literal 4 binary64) (*.f64 t #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 t t) #s(literal -4 binary64)) t)) (+.f64 (-.f64 #s(literal 0 binary64) t) #s(literal -2 binary64)))
(/.f64 (+.f64 (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64)) (.f64 (.f64 t t) (.f64 (.f64 t t) (.f64 t t)))) (+.f64 (.f64 (.f64 t t) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 t t) (.f64 t t)) (.f64 (.f64 t #s(literal -2 binary64)) (.f64 t t)))))
(/.f64 (-.f64 (.f64 (.f64 t t) #s(literal 4 binary64)) (.f64 (.f64 t t) (.f64 t t))) (-.f64 (.f64 t #s(literal -2 binary64)) (*.f64 t t)))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 t (+.f64 t #s(literal -2 binary64))))
(*.f64 (+.f64 t #s(literal -2 binary64)) t)
(.f64 (.f64 t (+.f64 t #s(literal -2 binary64))) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) (.f64 t t))) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 t t) (.f64 t t)) (-.f64 (.f64 (.f64 t t) #s(literal 4 binary64)) (.f64 (.f64 t t) (*.f64 t #s(literal -2 binary64)))))))
(.f64 (.f64 t (+.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 t t) (+.f64 #s(literal 4 binary64) (.f64 t #s(literal 2 binary64))))))
(.f64 (.f64 t (+.f64 (*.f64 t t) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 t #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64)) t) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 t t) (+.f64 #s(literal 4 binary64) (.f64 t #s(literal 2 binary64))))))
(.f64 (.f64 (+.f64 (*.f64 t t) #s(literal -4 binary64)) t) (/.f64 #s(literal 1 binary64) (+.f64 t #s(literal 2 binary64))))
(.f64 (.f64 (.f64 t (+.f64 t #s(literal -2 binary64))) (+.f64 (.f64 t t) (.f64 t #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 t t) (*.f64 t #s(literal 2 binary64)))))

simplify243.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

2242×	`-lowering-.f32`
2242×	`-lowering-.f64`
2012×	`fma-lowering-fma.f32`
2012×	`fma-lowering-fma.f64`
1784×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	892
1	226	797
2	714	733
3	2451	690
4	7050	690
0	8694	690

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(/ -2/9 t)
(/ (- (* 5/6 t) 2/9) t)
(/ (- (* 5/6 t) 2/9) t)
(/ (- (* 5/6 t) 2/9) t)
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- 5/6 (* 2/9 (/ 1 t)))
(- 5/6 (* 2/9 (/ 1 t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- 5/6 (* 2/9 (/ 1 t)))
(- 5/6 (* 2/9 (/ 1 t)))
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(* -2 (pow t 3))
(* (pow t 3) (- (/ 1 t) 2))
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))
(* -2 (pow t 3))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))
(pow t 2)
(* (pow t 2) (+ 1 (* -2 t)))
(* (pow t 2) (+ 1 (* -2 t)))
(* (pow t 2) (+ 1 (* -2 t)))
(* -2 (pow t 3))
(* (pow t 3) (- (/ 1 t) 2))
(* (pow t 3) (- (/ 1 t) 2))
(* (pow t 3) (- (/ 1 t) 2))
(* -2 (pow t 3))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
t
(* t (+ 1 (* -2 t)))
(* t (+ 1 (* -2 t)))
(* t (+ 1 (* -2 t)))
(* -2 (pow t 2))
(* (pow t 2) (- (/ 1 t) 2))
(* (pow t 2) (- (/ 1 t) 2))
(* (pow t 2) (- (/ 1 t) 2))
(* -2 (pow t 2))
(* (pow t 2) (- (/ 1 t) 2))
(* (pow t 2) (- (/ 1 t) 2))
(* (pow t 2) (- (/ 1 t) 2))
1
(+ 1 (* -2 t))
(+ 1 (* -2 t))
(+ 1 (* -2 t))
(* -2 t)
(* t (- (/ 1 t) 2))
(* t (- (/ 1 t) 2))
(* t (- (/ 1 t) 2))
(* -2 t)
(* -1 (* t (- 2 (/ 1 t))))
(* -1 (* t (- 2 (/ 1 t))))
(* -1 (* t (- 2 (/ 1 t))))
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
(pow t 4)
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(* (pow t 4) (- (+ 1 (+ (/ 1 (pow t 2)) (* 1/2 (/ 1 (pow t 4))))) (* 2 (/ 1 t))))
(pow t 4)
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(* (pow t 4) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t))) t))))
(pow t 2)
(* (pow t 2) (+ 1 (* -2 t)))
(* (pow t 2) (+ 1 (* t (- t 2))))
(* (pow t 2) (+ 1 (* t (- t 2))))
(pow t 4)
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(pow t 4)
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
1
(+ 1 (* -2 t))
(+ 1 (* t (- t 2)))
(+ 1 (* t (- t 2)))
(pow t 2)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(pow t 2)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* t (- t 2))
(* t (- t 2))
(* t (- t 2))
(pow t 2)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(pow t 2)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))

Outputs
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ (- (* 5/6 t) 2/9) t)
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/ (- (* 5/6 t) 2/9) t)
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/ (- (* 5/6 t) 2/9) t)
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(-.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal -1 binary64) (*.f64 t #s(literal 2 binary64))))))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(-.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal -1 binary64) (*.f64 t #s(literal 2 binary64))))))
(* -2 (pow t 3))
(.f64 #s(literal -2 binary64) (.f64 t (*.f64 t t)))
(* (pow t 3) (- (/ 1 t) 2))
(.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))
(.f64 t (+.f64 (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))) (/.f64 #s(literal 1/2 binary64) t)))
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))
(.f64 t (+.f64 (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))) (/.f64 #s(literal 1/2 binary64) t)))
(* -2 (pow t 3))
(.f64 #s(literal -2 binary64) (.f64 t (*.f64 t t)))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))
(.f64 t (+.f64 (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))) (/.f64 #s(literal 1/2 binary64) t)))
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))
(.f64 t (+.f64 (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))) (/.f64 #s(literal 1/2 binary64) t)))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* -2 t)))
(.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* (pow t 2) (+ 1 (* -2 t)))
(.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* (pow t 2) (+ 1 (* -2 t)))
(.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* -2 (pow t 3))
(.f64 #s(literal -2 binary64) (.f64 t (*.f64 t t)))
(* (pow t 3) (- (/ 1 t) 2))
(.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* (pow t 3) (- (/ 1 t) 2))
(.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* (pow t 3) (- (/ 1 t) 2))
(.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* -2 (pow t 3))
(.f64 #s(literal -2 binary64) (.f64 t (*.f64 t t)))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
t
(* t (+ 1 (* -2 t)))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))
(* t (+ 1 (* -2 t)))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))
(* t (+ 1 (* -2 t)))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))
(* -2 (pow t 2))
(.f64 (.f64 t t) #s(literal -2 binary64))
(* (pow t 2) (- (/ 1 t) 2))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))
(* (pow t 2) (- (/ 1 t) 2))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))
(* (pow t 2) (- (/ 1 t) 2))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))
(* -2 (pow t 2))
(.f64 (.f64 t t) #s(literal -2 binary64))
(* (pow t 2) (- (/ 1 t) 2))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))
(* (pow t 2) (- (/ 1 t) 2))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))
(* (pow t 2) (- (/ 1 t) 2))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -2 t))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(+ 1 (* -2 t))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(+ 1 (* -2 t))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* t (- (/ 1 t) 2))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* t (- (/ 1 t) 2))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* t (- (/ 1 t) 2))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -1 (* t (- 2 (/ 1 t))))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* -1 (* t (- 2 (/ 1 t))))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* -1 (* t (- 2 (/ 1 t))))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(-.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal -1 binary64) (*.f64 t #s(literal 2 binary64))))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))))
(pow t 4)
(.f64 t (.f64 t (*.f64 t t)))
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(.f64 (.f64 t (*.f64 t t)) (+.f64 t #s(literal -2 binary64)))
(* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(* (pow t 4) (- (+ 1 (+ (/ 1 (pow t 2)) (* 1/2 (/ 1 (pow t 4))))) (* 2 (/ 1 t))))
(.f64 (.f64 t (.f64 t (.f64 t t))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)) (/.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (*.f64 t t))))))
(pow t 4)
(.f64 t (.f64 t (*.f64 t t)))
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(.f64 (.f64 t (*.f64 t t)) (+.f64 t #s(literal -2 binary64)))
(* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(* (pow t 4) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t))) t))))
(+.f64 (.f64 t (.f64 t (.f64 t t))) (.f64 t (+.f64 (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64)))) (/.f64 #s(literal 1/2 binary64) t))))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* -2 t)))
(.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* (pow t 2) (+ 1 (* t (- t 2))))
(.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(* (pow t 2) (+ 1 (* t (- t 2))))
(.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(pow t 4)
(.f64 t (.f64 t (*.f64 t t)))
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(.f64 (.f64 t (*.f64 t t)) (+.f64 t #s(literal -2 binary64)))
(* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(pow t 4)
(.f64 t (.f64 t (*.f64 t t)))
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(.f64 (.f64 t (*.f64 t t)) (+.f64 t #s(literal -2 binary64)))
(* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
1
#s(literal 1 binary64)
(+ 1 (* -2 t))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(+ 1 (* t (- t 2)))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
(+ 1 (* t (- t 2)))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
(* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
(* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* t (- t 2))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* t (- t 2))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* t (- t 2))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))

eval76.0ms (1%)

Compiler: Compiled 13020 to 1473 computations (88.7% saved)

prune75.0ms (1%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	538	2	540
Fresh	0	4	4
Picked	1	4	5
Done	0	1	1
Total	539	11	550

Accuracy

100.0%

Counts

550 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.0%	(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))
✓	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))
▶	52.7%	(+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)))
▶	52.7%	(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
✓	52.0%	(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
✓	50.8%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
▶	50.6%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (*.f64 t t)))
▶	50.2%	(+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 (.f64 t (*.f64 t #s(literal -2 binary64))) t)))
▶	51.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
✓	59.4%	#s(literal 5/6 binary64)
✓	58.6%	#s(literal 1/2 binary64)

Compiler

Compiled 172 to 126 computations (26.7% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 t (.f64 t #s(literal -2 binary64)))
✓	cost-diff	0	(+.f64 (.f64 t (.f64 t #s(literal -2 binary64))) t)
✓	cost-diff	0	(.f64 t (+.f64 (.f64 t (*.f64 t #s(literal -2 binary64))) t))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 (.f64 t (*.f64 t #s(literal -2 binary64))) t)))
✓	cost-diff	0	(/.f64 #s(literal 1/27 binary64) t)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)
✓	cost-diff	0	(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
✓	cost-diff	0	(*.f64 t t)
✓	cost-diff	0	(.f64 (.f64 t t) (*.f64 t t))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (*.f64 t t)))
✓	cost-diff	0	(*.f64 t t)
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)
✓	cost-diff	0	(+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)))

Rules

152×	`fma-define`
112×	`fma-lowering-fma.f32`
112×	`fma-lowering-fma.f64`
88×	`-lowering-.f32`
88×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	120
1	49	116
2	86	116
3	115	116
4	136	116
5	153	116
6	200	116
7	218	116
0	218	116

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ 1 (+ -1/6 (/ (+ (/ 1/27 t) -2/9) t)))
1
(+ -1/6 (/ (+ (/ 1/27 t) -2/9) t))
-1/6
(/ (+ (/ 1/27 t) -2/9) t)
(+ (/ 1/27 t) -2/9)
(/ 1/27 t)
1/27
t
-2/9
(+ 1/2 (* t t))
1/2
(* t t)
t
(+ 1/2 (* (* t t) (* t t)))
1/2
(* (* t t) (* t t))
(* t t)
t
(+ 5/6 (/ (+ (/ 1/27 t) -2/9) t))
5/6
(/ (+ (/ 1/27 t) -2/9) t)
(+ (/ 1/27 t) -2/9)
(/ 1/27 t)
1/27
t
-2/9
(+ 1/2 (* t (+ (* t (* t -2)) t)))
1/2
(* t (+ (* t (* t -2)) t))
t
(+ (* t (* t -2)) t)
(* t (* t -2))
(* t -2)
-2

Outputs
(+ 1 (+ -1/6 (/ (+ (/ 1/27 t) -2/9) t)))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) #s(literal 5/6 binary64))
1
#s(literal 1 binary64)
(+ -1/6 (/ (+ (/ 1/27 t) -2/9) t))
(+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
-1/6
#s(literal -1/6 binary64)
(/ (+ (/ 1/27 t) -2/9) t)
(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)
(+ (/ 1/27 t) -2/9)
(+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64))
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
1/27
#s(literal 1/27 binary64)
t
-2/9
#s(literal -2/9 binary64)
(+ 1/2 (* t t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
1/2
#s(literal 1/2 binary64)
(* t t)
(*.f64 t t)
t
(+ 1/2 (* (* t t) (* t t)))
(+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (*.f64 t t))))
1/2
#s(literal 1/2 binary64)
(* (* t t) (* t t))
(.f64 t (.f64 t (*.f64 t t)))
(* t t)
(*.f64 t t)
t
(+ 5/6 (/ (+ (/ 1/27 t) -2/9) t))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) #s(literal 5/6 binary64))
5/6
#s(literal 5/6 binary64)
(/ (+ (/ 1/27 t) -2/9) t)
(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)
(+ (/ 1/27 t) -2/9)
(+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64))
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
1/27
#s(literal 1/27 binary64)
t
-2/9
#s(literal -2/9 binary64)
(+ 1/2 (* t (+ (* t (* t -2)) t)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
1/2
#s(literal 1/2 binary64)
(* t (+ (* t (* t -2)) t))
(.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
t
(+ (* t (* t -2)) t)
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))
(* t (* t -2))
(.f64 (.f64 t t) #s(literal -2 binary64))
(* t -2)
(*.f64 t #s(literal -2 binary64))
-2
#s(literal -2 binary64)

localize128.0ms (1.7%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 t (.f64 t #s(literal -2 binary64)))
✓	accuracy	100.0%	(*.f64 t #s(literal -2 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 t (.f64 t #s(literal -2 binary64))) t)
✓	accuracy	99.9%	(.f64 t (+.f64 (.f64 t (*.f64 t #s(literal -2 binary64))) t))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
✓	accuracy	99.7%	(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)
✓	accuracy	99.5%	(/.f64 #s(literal 1/27 binary64) t)
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (*.f64 t t)))
✓	accuracy	100.0%	(*.f64 t t)
✓	accuracy	99.8%	(.f64 (.f64 t t) (*.f64 t t))
✓	accuracy	100.0%	(*.f64 t t)
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
✓	accuracy	99.7%	(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)
✓	accuracy	99.5%	(/.f64 #s(literal 1/27 binary64) t)

Results

83.0ms

256×

valid

Compiler

Compiled 139 to 24 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

...c/correct-round.rkt:119:19: 14.0ms (36.8% of total)

ival-add: 10.0ms (26.3% of total)

ival-mult: 9.0ms (23.7% of total)

ival-div: 4.0ms (10.5% of total)

const: 1.0ms (2.6% of total)

backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (+ 1 (+ -1/6 (/ (+ (/ 1/27 t) -2/9) t)))>
#<alt (+ -1/6 (/ (+ (/ 1/27 t) -2/9) t))>
#<alt (/ (+ (/ 1/27 t) -2/9) t)>
#<alt (+ (/ 1/27 t) -2/9)>
#<alt (+ 1/2 (* t t))>
#<alt (* t t)>
#<alt (+ 1/2 (* (* t t) (* t t)))>
#<alt (* (* t t) (* t t))>
#<alt (+ 5/6 (/ (+ (/ 1/27 t) -2/9) t))>
#<alt (/ 1/27 t)>
#<alt (+ 1/2 (* t (+ (* t (* t -2)) t)))>
#<alt (* t (+ (* t (* t -2)) t))>
#<alt (+ (* t (* t -2)) t)>
#<alt (* t (* t -2))>
#<alt (* t -2)>

Outputs
#<alt (/ 1/27 (pow t 2))>
#<alt (/ (+ 1/27 (* -2/9 t)) (pow t 2))>
#<alt (/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))>
#<alt (/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))>
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))>
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))>
#<alt (/ 1/27 (pow t 2))>
#<alt (/ (+ 1/27 (* -2/9 t)) (pow t 2))>
#<alt (/ (+ 1/27 (* t (- (* -1/6 t) 2/9))) (pow t 2))>
#<alt (/ (+ 1/27 (* t (- (* -1/6 t) 2/9))) (pow t 2))>
#<alt -1/6>
#<alt (* -1 (+ 1/6 (* 2/9 (/ 1 t))))>
#<alt (- (/ 1/27 (pow t 2)) (+ 1/6 (* 2/9 (/ 1 t))))>
#<alt (- (/ 1/27 (pow t 2)) (+ 1/6 (* 2/9 (/ 1 t))))>
#<alt -1/6>
#<alt (* -1 (+ 1/6 (* 2/9 (/ 1 t))))>
#<alt (- (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)) 1/6)>
#<alt (- (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)) 1/6)>
#<alt (/ 1/27 (pow t 2))>
#<alt (/ (+ 1/27 (* -2/9 t)) (pow t 2))>
#<alt (/ (+ 1/27 (* -2/9 t)) (pow t 2))>
#<alt (/ (+ 1/27 (* -2/9 t)) (pow t 2))>
#<alt (/ -2/9 t)>
#<alt (/ (- (* 1/27 (/ 1 t)) 2/9) t)>
#<alt (/ (- (* 1/27 (/ 1 t)) 2/9) t)>
#<alt (/ (- (* 1/27 (/ 1 t)) 2/9) t)>
#<alt (/ -2/9 t)>
#<alt (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))>
#<alt (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))>
#<alt (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))>
#<alt (/ 1/27 t)>
#<alt (/ (+ 1/27 (* -2/9 t)) t)>
#<alt (/ (+ 1/27 (* -2/9 t)) t)>
#<alt (/ (+ 1/27 (* -2/9 t)) t)>
#<alt -2/9>
#<alt (- (* 1/27 (/ 1 t)) 2/9)>
#<alt (- (* 1/27 (/ 1 t)) 2/9)>
#<alt (- (* 1/27 (/ 1 t)) 2/9)>
#<alt -2/9>
#<alt (- (* 1/27 (/ 1 t)) 2/9)>
#<alt (- (* 1/27 (/ 1 t)) 2/9)>
#<alt (- (* 1/27 (/ 1 t)) 2/9)>
#<alt 1/2>
#<alt (+ 1/2 (pow t 2))>
#<alt (+ 1/2 (pow t 2))>
#<alt (+ 1/2 (pow t 2))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt 1/2>
#<alt (+ 1/2 (pow t 4))>
#<alt (+ 1/2 (pow t 4))>
#<alt (+ 1/2 (pow t 4))>
#<alt (pow t 4)>
#<alt (* (pow t 4) (+ 1 (* 1/2 (/ 1 (pow t 4)))))>
#<alt (* (pow t 4) (+ 1 (* 1/2 (/ 1 (pow t 4)))))>
#<alt (* (pow t 4) (+ 1 (* 1/2 (/ 1 (pow t 4)))))>
#<alt (pow t 4)>
#<alt (* (pow t 4) (+ 1 (* 1/2 (/ 1 (pow t 4)))))>
#<alt (* (pow t 4) (+ 1 (* 1/2 (/ 1 (pow t 4)))))>
#<alt (* (pow t 4) (+ 1 (* 1/2 (/ 1 (pow t 4)))))>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (/ 1/27 (pow t 2))>
#<alt (/ (+ 1/27 (* -2/9 t)) (pow t 2))>
#<alt (/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))>
#<alt (/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))>
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))>
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))>
#<alt (/ 1/27 t)>
#<alt (/ 1/27 t)>
#<alt (/ 1/27 t)>
#<alt (/ 1/27 t)>
#<alt (/ 1/27 t)>
#<alt (/ 1/27 t)>
#<alt (/ 1/27 t)>
#<alt (/ 1/27 t)>
#<alt (/ 1/27 t)>
#<alt (/ 1/27 t)>
#<alt (/ 1/27 t)>
#<alt (/ 1/27 t)>
#<alt 1/2>
#<alt (+ 1/2 (pow t 2))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))>
#<alt (* -2 (pow t 3))>
#<alt (* (pow t 3) (- (/ 1 t) 2))>
#<alt (* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))>
#<alt (* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))>
#<alt (* -2 (pow t 3))>
#<alt (* -1 (* (pow t 3) (- 2 (/ 1 t))))>
#<alt (* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))>
#<alt (* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (+ 1 (* -2 t)))>
#<alt (* (pow t 2) (+ 1 (* -2 t)))>
#<alt (* (pow t 2) (+ 1 (* -2 t)))>
#<alt (* -2 (pow t 3))>
#<alt (* (pow t 3) (- (/ 1 t) 2))>
#<alt (* (pow t 3) (- (/ 1 t) 2))>
#<alt (* (pow t 3) (- (/ 1 t) 2))>
#<alt (* -2 (pow t 3))>
#<alt (* -1 (* (pow t 3) (- 2 (/ 1 t))))>
#<alt (* -1 (* (pow t 3) (- 2 (/ 1 t))))>
#<alt (* -1 (* (pow t 3) (- 2 (/ 1 t))))>
#<alt t>
#<alt (* t (+ 1 (* -2 t)))>
#<alt (* t (+ 1 (* -2 t)))>
#<alt (* t (+ 1 (* -2 t)))>
#<alt (* -2 (pow t 2))>
#<alt (* (pow t 2) (- (/ 1 t) 2))>
#<alt (* (pow t 2) (- (/ 1 t) 2))>
#<alt (* (pow t 2) (- (/ 1 t) 2))>
#<alt (* -2 (pow t 2))>
#<alt (* (pow t 2) (- (/ 1 t) 2))>
#<alt (* (pow t 2) (- (/ 1 t) 2))>
#<alt (* (pow t 2) (- (/ 1 t) 2))>
#<alt (* -2 (pow t 2))>
#<alt (* -2 (pow t 2))>
#<alt (* -2 (pow t 2))>
#<alt (* -2 (pow t 2))>
#<alt (* -2 (pow t 2))>
#<alt (* -2 (pow t 2))>
#<alt (* -2 (pow t 2))>
#<alt (* -2 (pow t 2))>
#<alt (* -2 (pow t 2))>
#<alt (* -2 (pow t 2))>
#<alt (* -2 (pow t 2))>
#<alt (* -2 (pow t 2))>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>
#<alt (* -2 t)>

Calls

45 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(/ (+ (/ 1/27 t) -2/9) t)
0.0ms	t	@	inf	(+ 1/2 (* (* t t) (* t t)))
0.0ms	t	@	-inf	(+ 1 (+ -1/6 (/ (+ (/ 1/27 t) -2/9) t)))
0.0ms	t	@	-inf	(/ (+ (/ 1/27 t) -2/9) t)
0.0ms	t	@	0	(/ 1/27 t)

rewrite367.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3512×	`/-lowering-/.f32`
3512×	`/-lowering-/.f64`
3464×	`-lowering-.f32`
3464×	`-lowering-.f64`
2514×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	87
1	161	83
2	1459	83
0	8736	83

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 405

Calls

Call 1

Inputs
(+ 1 (+ -1/6 (/ (+ (/ 1/27 t) -2/9) t)))
(+ -1/6 (/ (+ (/ 1/27 t) -2/9) t))
(/ (+ (/ 1/27 t) -2/9) t)
(+ (/ 1/27 t) -2/9)
(+ 1/2 (* t t))
(* t t)
(+ 1/2 (* (* t t) (* t t)))
(* (* t t) (* t t))
(+ 5/6 (/ (+ (/ 1/27 t) -2/9) t))
(/ 1/27 t)
(+ 1/2 (* t (+ (* t (* t -2)) t)))
(* t (+ (* t (* t -2)) t))
(+ (* t (* t -2)) t)
(* t (* t -2))
(* t -2)

Outputs
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)))
(+.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) #s(literal 1 binary64)))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) #s(literal 5/6 binary64))
(+.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) #s(literal 1 binary64))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) #s(literal -1/6 binary64))
(-.f64 (/.f64 #s(literal 25/36 binary64) (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))) (/.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 7/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))) (/.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))) (-.f64 #s(literal 7/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))))
(-.f64 (/.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) #s(literal 5/6 binary64))) (/.f64 #s(literal 25/36 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) #s(literal 5/6 binary64))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))) (-.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) #s(literal 5/6 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) #s(literal 1 binary64))
(fma.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) (/.f64 #s(literal 1 binary64) t) #s(literal 5/6 binary64))
(fma.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 2/9 binary64) (neg.f64 (/.f64 #s(literal 1/27 binary64) t))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)) #s(literal 5/6 binary64))
(fma.f64 (+.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) #s(literal -1/6 binary64)) (/.f64 t (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)))))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) #s(literal 5/6 binary64))
(fma.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 25/36 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) #s(literal 5/6 binary64)) (/.f64 t (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64))))) (+.f64 #s(literal 125/216 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (-.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (-.f64 #s(literal 25/36 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 7/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))))))
(/.f64 (+.f64 #s(literal 125/216 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)))) (+.f64 #s(literal 25/36 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) #s(literal 5/6 binary64)) (/.f64 t (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64))))))
(/.f64 (+.f64 #s(literal 125/216 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)))) (+.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (-.f64 #s(literal 25/36 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) #s(literal 5/6 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (-.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))))) (+.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))) (-.f64 #s(literal 7/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))))
(/.f64 (-.f64 #s(literal 25/36 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))) (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)))) (-.f64 #s(literal 7/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 25/36 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) #s(literal 5/6 binary64)) (/.f64 t (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64))))) (+.f64 #s(literal 125/216 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (-.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (-.f64 #s(literal 25/36 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 7/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 125/216 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))))) (neg.f64 (+.f64 #s(literal 25/36 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) #s(literal 5/6 binary64)) (/.f64 t (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)))))))
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(fma.f64 t t (.f64 t (.f64 (*.f64 t t) #s(literal -2 binary64))))
(fma.f64 t (.f64 (.f64 t t) #s(literal -2 binary64)) (*.f64 t t))
(fma.f64 (.f64 t t) (.f64 t #s(literal -2 binary64)) (*.f64 t t))
(fma.f64 (.f64 t #s(literal -2 binary64)) (.f64 t t) (*.f64 t t))
(fma.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) t (*.f64 t t))
(fma.f64 (.f64 t (.f64 t t)) #s(literal -2 binary64) (*.f64 t t))
(/.f64 (+.f64 (.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64))) (.f64 t (.f64 t t))) (.f64 (.f64 t (.f64 t t)) (.f64 t (.f64 t t)))) (+.f64 (.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t t)) (-.f64 (.f64 t (.f64 t (.f64 t t))) (.f64 (.f64 t (.f64 (.f64 t t) #s(literal -2 binary64))) (.f64 t t)))))
(/.f64 (.f64 t (+.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64))) (.f64 t (.f64 t t)))) (+.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t (-.f64 t (.f64 (.f64 t t) #s(literal -2 binary64))))))
(/.f64 (.f64 t (-.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t t))) (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) t))
(/.f64 (.f64 (+.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64))) (.f64 t (.f64 t t))) t) (+.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t (-.f64 t (.f64 (.f64 t t) #s(literal -2 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t t)) t) (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) t))
(/.f64 (-.f64 (.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t t)) (.f64 t (.f64 t (.f64 t t)))) (-.f64 (.f64 t (.f64 (.f64 t t) #s(literal -2 binary64))) (*.f64 t t)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64))) (.f64 t (.f64 t t))) (.f64 (.f64 t (.f64 t t)) (.f64 t (.f64 t t))))) (neg.f64 (+.f64 (.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t t)) (-.f64 (.f64 t (.f64 t (.f64 t t))) (.f64 (.f64 t (.f64 (.f64 t t) #s(literal -2 binary64))) (.f64 t t))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t t)) (.f64 t (.f64 t (.f64 t t))))) (neg.f64 (-.f64 (.f64 t (.f64 (.f64 t t) #s(literal -2 binary64))) (*.f64 t t))))
(/.f64 (neg.f64 (.f64 t (+.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64))) (.f64 t (.f64 t t))))) (neg.f64 (+.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t (-.f64 t (.f64 (.f64 t t) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (.f64 t (-.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t t)))) (neg.f64 (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) t)))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64))) (.f64 t (.f64 t t))) t)) (neg.f64 (+.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t (-.f64 t (.f64 (.f64 t t) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t t)) t)) (neg.f64 (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) t)))
(/.f64 (+.f64 (.f64 (.f64 t (.f64 t t)) (.f64 t (.f64 t t))) (.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64))) (.f64 t (.f64 t t)))) (+.f64 (.f64 t (.f64 t (.f64 t t))) (-.f64 (.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t t)) (.f64 (.f64 t t) (.f64 t (.f64 (.f64 t t) #s(literal -2 binary64)))))))
(.f64 t (.f64 (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)) t))
(.f64 (.f64 (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)) t) t)
(+.f64 t (.f64 (.f64 t t) #s(literal -2 binary64)))
(+.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) t)
(-.f64 (/.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) t)) (/.f64 (.f64 t t) (-.f64 (.f64 (*.f64 t t) #s(literal -2 binary64)) t)))
(-.f64 (/.f64 (.f64 t t) (-.f64 t (.f64 (.f64 t t) #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (-.f64 t (.f64 (*.f64 t t) #s(literal -2 binary64)))))
(fma.f64 t (*.f64 t #s(literal -2 binary64)) t)
(fma.f64 (*.f64 t t) #s(literal -2 binary64) t)
(fma.f64 #s(literal -2 binary64) (*.f64 t t) t)
(fma.f64 (*.f64 t #s(literal -2 binary64)) t t)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t (-.f64 t (.f64 (.f64 t t) #s(literal -2 binary64))))) (+.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64))) (.f64 t (*.f64 t t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) t) (-.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (*.f64 t t))))
(/.f64 (+.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64))) (.f64 t (.f64 t t))) (+.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t (-.f64 t (.f64 (*.f64 t t) #s(literal -2 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64))) (.f64 t (.f64 t t))) (+.f64 (.f64 t t) (-.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t (.f64 (.f64 t t) #s(literal -2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t t)) (-.f64 (.f64 (*.f64 t t) #s(literal -2 binary64)) t))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t (-.f64 t (.f64 (.f64 t t) #s(literal -2 binary64))))) (+.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64))) (.f64 t (*.f64 t t))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) t) (-.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (*.f64 t t)))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64))) (.f64 t (.f64 t t)))) (neg.f64 (+.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t (-.f64 t (.f64 (*.f64 t t) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64))) (.f64 t (.f64 t t)))) (neg.f64 (+.f64 (.f64 t t) (-.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t (.f64 (.f64 t t) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t t))) (neg.f64 (-.f64 (.f64 (*.f64 t t) #s(literal -2 binary64)) t)))
(/.f64 (-.f64 (.f64 t t) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64))) (-.f64 t (.f64 (*.f64 t t) #s(literal -2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) t)) (.f64 (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) t) (.f64 t t))) (.f64 (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) t) (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) t)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64))) (.f64 t (.f64 t t))))) (neg.f64 (neg.f64 (+.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t (-.f64 t (.f64 (*.f64 t t) #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t t)))) (neg.f64 (neg.f64 (-.f64 (.f64 (*.f64 t t) #s(literal -2 binary64)) t))))
(/.f64 (neg.f64 (-.f64 (.f64 t t) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)))) (neg.f64 (-.f64 t (.f64 (*.f64 t t) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) t)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 t t) (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) t)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) t)) (/.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) t))) (+.f64 (.f64 (/.f64 (.f64 t t) (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) t)) (/.f64 (.f64 t t) (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) t))) (.f64 (/.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) t)) (/.f64 (.f64 t t) (-.f64 (.f64 (*.f64 t t) #s(literal -2 binary64)) t))))))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t (-.f64 t (.f64 (.f64 t t) #s(literal -2 binary64))))) (+.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64))) (.f64 t (*.f64 t t)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) t) (-.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (*.f64 t t))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64))) (.f64 t (.f64 t t))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t (-.f64 t (.f64 (.f64 t t) #s(literal -2 binary64)))))))
(.f64 (-.f64 (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal 4 binary64)) (.f64 t t)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 t t) #s(literal -2 binary64)) t)))
(.f64 (+.f64 (.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)) t)
(.f64 t (.f64 t #s(literal -2 binary64)))
(.f64 (.f64 t t) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (.f64 t t))
(.f64 (.f64 t #s(literal -2 binary64)) t)
(*.f64 t #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) t)

simplify178.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1910×	`fnmadd-define`
1740×	`-lowering-.f32`
1740×	`-lowering-.f64`
1292×	`fma-define`
1268×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	985
1	224	862
2	603	853
3	1824	842
4	4718	842
0	8161	842

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(/ 1/27 (pow t 2))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(/ 1/27 (pow t 2))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/ (+ 1/27 (* t (- (* -1/6 t) 2/9))) (pow t 2))
(/ (+ 1/27 (* t (- (* -1/6 t) 2/9))) (pow t 2))
-1/6
(* -1 (+ 1/6 (* 2/9 (/ 1 t))))
(- (/ 1/27 (pow t 2)) (+ 1/6 (* 2/9 (/ 1 t))))
(- (/ 1/27 (pow t 2)) (+ 1/6 (* 2/9 (/ 1 t))))
-1/6
(* -1 (+ 1/6 (* 2/9 (/ 1 t))))
(- (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)) 1/6)
(- (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)) 1/6)
(/ 1/27 (pow t 2))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/ -2/9 t)
(/ (- (* 1/27 (/ 1 t)) 2/9) t)
(/ (- (* 1/27 (/ 1 t)) 2/9) t)
(/ (- (* 1/27 (/ 1 t)) 2/9) t)
(/ -2/9 t)
(* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))
(* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))
(* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))
(/ 1/27 t)
(/ (+ 1/27 (* -2/9 t)) t)
(/ (+ 1/27 (* -2/9 t)) t)
(/ (+ 1/27 (* -2/9 t)) t)
-2/9
(- (* 1/27 (/ 1 t)) 2/9)
(- (* 1/27 (/ 1 t)) 2/9)
(- (* 1/27 (/ 1 t)) 2/9)
-2/9
(- (* 1/27 (/ 1 t)) 2/9)
(- (* 1/27 (/ 1 t)) 2/9)
(- (* 1/27 (/ 1 t)) 2/9)
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (pow t 2))
(+ 1/2 (pow t 2))
(pow t 2)
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(pow t 2)
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
1/2
(+ 1/2 (pow t 4))
(+ 1/2 (pow t 4))
(+ 1/2 (pow t 4))
(pow t 4)
(* (pow t 4) (+ 1 (* 1/2 (/ 1 (pow t 4)))))
(* (pow t 4) (+ 1 (* 1/2 (/ 1 (pow t 4)))))
(* (pow t 4) (+ 1 (* 1/2 (/ 1 (pow t 4)))))
(pow t 4)
(* (pow t 4) (+ 1 (* 1/2 (/ 1 (pow t 4)))))
(* (pow t 4) (+ 1 (* 1/2 (/ 1 (pow t 4)))))
(* (pow t 4) (+ 1 (* 1/2 (/ 1 (pow t 4)))))
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(/ 1/27 (pow t 2))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
(/ 1/27 t)
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(* -2 (pow t 3))
(* (pow t 3) (- (/ 1 t) 2))
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))
(* -2 (pow t 3))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))
(pow t 2)
(* (pow t 2) (+ 1 (* -2 t)))
(* (pow t 2) (+ 1 (* -2 t)))
(* (pow t 2) (+ 1 (* -2 t)))
(* -2 (pow t 3))
(* (pow t 3) (- (/ 1 t) 2))
(* (pow t 3) (- (/ 1 t) 2))
(* (pow t 3) (- (/ 1 t) 2))
(* -2 (pow t 3))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
t
(* t (+ 1 (* -2 t)))
(* t (+ 1 (* -2 t)))
(* t (+ 1 (* -2 t)))
(* -2 (pow t 2))
(* (pow t 2) (- (/ 1 t) 2))
(* (pow t 2) (- (/ 1 t) 2))
(* (pow t 2) (- (/ 1 t) 2))
(* -2 (pow t 2))
(* (pow t 2) (- (/ 1 t) 2))
(* (pow t 2) (- (/ 1 t) 2))
(* (pow t 2) (- (/ 1 t) 2))
(* -2 (pow t 2))
(* -2 (pow t 2))
(* -2 (pow t 2))
(* -2 (pow t 2))
(* -2 (pow t 2))
(* -2 (pow t 2))
(* -2 (pow t 2))
(* -2 (pow t 2))
(* -2 (pow t 2))
(* -2 (pow t 2))
(* -2 (pow t 2))
(* -2 (pow t 2))
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)

Outputs
(/ 1/27 (pow t 2))
(/.f64 #s(literal 1/27 binary64) (*.f64 t t))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 t #s(literal -2/9 binary64))) (.f64 t t))
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 t (+.f64 #s(literal -2/9 binary64) (.f64 t #s(literal 5/6 binary64))))) (*.f64 t t))
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 t (+.f64 #s(literal -2/9 binary64) (.f64 t #s(literal 5/6 binary64))))) (*.f64 t t))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t))
(/ 1/27 (pow t 2))
(/.f64 #s(literal 1/27 binary64) (*.f64 t t))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 t #s(literal -2/9 binary64))) (.f64 t t))
(/ (+ 1/27 (* t (- (* -1/6 t) 2/9))) (pow t 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 t (+.f64 #s(literal -2/9 binary64) (.f64 t #s(literal -1/6 binary64))))) (*.f64 t t))
(/ (+ 1/27 (* t (- (* -1/6 t) 2/9))) (pow t 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 t (+.f64 #s(literal -2/9 binary64) (.f64 t #s(literal -1/6 binary64))))) (*.f64 t t))
-1/6
#s(literal -1/6 binary64)
(* -1 (+ 1/6 (* 2/9 (/ 1 t))))
(+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- (/ 1/27 (pow t 2)) (+ 1/6 (* 2/9 (/ 1 t))))
(+.f64 (/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t) #s(literal -1/6 binary64))
(- (/ 1/27 (pow t 2)) (+ 1/6 (* 2/9 (/ 1 t))))
(+.f64 (/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t) #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(* -1 (+ 1/6 (* 2/9 (/ 1 t))))
(+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)) 1/6)
(+.f64 (/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t) #s(literal -1/6 binary64))
(- (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)) 1/6)
(+.f64 (/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t) #s(literal -1/6 binary64))
(/ 1/27 (pow t 2))
(/.f64 #s(literal 1/27 binary64) (*.f64 t t))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 t #s(literal -2/9 binary64))) (.f64 t t))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 t #s(literal -2/9 binary64))) (.f64 t t))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 t #s(literal -2/9 binary64))) (.f64 t t))
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ (- (* 1/27 (/ 1 t)) 2/9) t)
(/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)
(/ (- (* 1/27 (/ 1 t)) 2/9) t)
(/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)
(/ (- (* 1/27 (/ 1 t)) 2/9) t)
(/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))
(/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)
(* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))
(/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)
(* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t))
(/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t)
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
(/ (+ 1/27 (* -2/9 t)) t)
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 t #s(literal -2/9 binary64))) t)
(/ (+ 1/27 (* -2/9 t)) t)
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 t #s(literal -2/9 binary64))) t)
(/ (+ 1/27 (* -2/9 t)) t)
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 t #s(literal -2/9 binary64))) t)
-2/9
#s(literal -2/9 binary64)
(- (* 1/27 (/ 1 t)) 2/9)
(+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t))
(- (* 1/27 (/ 1 t)) 2/9)
(+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t))
(- (* 1/27 (/ 1 t)) 2/9)
(+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t))
-2/9
#s(literal -2/9 binary64)
(- (* 1/27 (/ 1 t)) 2/9)
(+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t))
(- (* 1/27 (/ 1 t)) 2/9)
(+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t))
(- (* 1/27 (/ 1 t)) 2/9)
(+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
(+ 1/2 (pow t 2))
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
(+ 1/2 (pow t 2))
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 4))
(+.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64)))
(+ 1/2 (pow t 4))
(+.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64)))
(+ 1/2 (pow t 4))
(+.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64)))
(pow t 4)
(pow.f64 t #s(literal 4 binary64))
(* (pow t 4) (+ 1 (* 1/2 (/ 1 (pow t 4)))))
(+.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64)))
(* (pow t 4) (+ 1 (* 1/2 (/ 1 (pow t 4)))))
(+.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64)))
(* (pow t 4) (+ 1 (* 1/2 (/ 1 (pow t 4)))))
(+.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64)))
(pow t 4)
(pow.f64 t #s(literal 4 binary64))
(* (pow t 4) (+ 1 (* 1/2 (/ 1 (pow t 4)))))
(+.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64)))
(* (pow t 4) (+ 1 (* 1/2 (/ 1 (pow t 4)))))
(+.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64)))
(* (pow t 4) (+ 1 (* 1/2 (/ 1 (pow t 4)))))
(+.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64)))
(pow t 4)
(pow.f64 t #s(literal 4 binary64))
(pow t 4)
(pow.f64 t #s(literal 4 binary64))
(pow t 4)
(pow.f64 t #s(literal 4 binary64))
(pow t 4)
(pow.f64 t #s(literal 4 binary64))
(pow t 4)
(pow.f64 t #s(literal 4 binary64))
(pow t 4)
(pow.f64 t #s(literal 4 binary64))
(pow t 4)
(pow.f64 t #s(literal 4 binary64))
(pow t 4)
(pow.f64 t #s(literal 4 binary64))
(pow t 4)
(pow.f64 t #s(literal 4 binary64))
(pow t 4)
(pow.f64 t #s(literal 4 binary64))
(pow t 4)
(pow.f64 t #s(literal 4 binary64))
(pow t 4)
(pow.f64 t #s(literal 4 binary64))
(/ 1/27 (pow t 2))
(/.f64 #s(literal 1/27 binary64) (*.f64 t t))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 t #s(literal -2/9 binary64))) (.f64 t t))
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 t (+.f64 #s(literal -2/9 binary64) (.f64 t #s(literal 5/6 binary64))))) (*.f64 t t))
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 t (+.f64 #s(literal -2/9 binary64) (.f64 t #s(literal 5/6 binary64))))) (*.f64 t t))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t))
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(* -2 (pow t 3))
(.f64 #s(literal -2 binary64) (.f64 t (*.f64 t t)))
(* (pow t 3) (- (/ 1 t) 2))
(.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))
(+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))
(+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(* -2 (pow t 3))
(.f64 #s(literal -2 binary64) (.f64 t (*.f64 t t)))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))
(+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))
(+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* -2 t)))
(.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* (pow t 2) (+ 1 (* -2 t)))
(.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* (pow t 2) (+ 1 (* -2 t)))
(.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* -2 (pow t 3))
(.f64 #s(literal -2 binary64) (.f64 t (*.f64 t t)))
(* (pow t 3) (- (/ 1 t) 2))
(.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* (pow t 3) (- (/ 1 t) 2))
(.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* (pow t 3) (- (/ 1 t) 2))
(.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* -2 (pow t 3))
(.f64 #s(literal -2 binary64) (.f64 t (*.f64 t t)))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
t
(* t (+ 1 (* -2 t)))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))
(* t (+ 1 (* -2 t)))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))
(* t (+ 1 (* -2 t)))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))
(* -2 (pow t 2))
(.f64 t (.f64 t #s(literal -2 binary64)))
(* (pow t 2) (- (/ 1 t) 2))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))
(* (pow t 2) (- (/ 1 t) 2))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))
(* (pow t 2) (- (/ 1 t) 2))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))
(* -2 (pow t 2))
(.f64 t (.f64 t #s(literal -2 binary64)))
(* (pow t 2) (- (/ 1 t) 2))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))
(* (pow t 2) (- (/ 1 t) 2))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))
(* (pow t 2) (- (/ 1 t) 2))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))
(* -2 (pow t 2))
(.f64 t (.f64 t #s(literal -2 binary64)))
(* -2 (pow t 2))
(.f64 t (.f64 t #s(literal -2 binary64)))
(* -2 (pow t 2))
(.f64 t (.f64 t #s(literal -2 binary64)))
(* -2 (pow t 2))
(.f64 t (.f64 t #s(literal -2 binary64)))
(* -2 (pow t 2))
(.f64 t (.f64 t #s(literal -2 binary64)))
(* -2 (pow t 2))
(.f64 t (.f64 t #s(literal -2 binary64)))
(* -2 (pow t 2))
(.f64 t (.f64 t #s(literal -2 binary64)))
(* -2 (pow t 2))
(.f64 t (.f64 t #s(literal -2 binary64)))
(* -2 (pow t 2))
(.f64 t (.f64 t #s(literal -2 binary64)))
(* -2 (pow t 2))
(.f64 t (.f64 t #s(literal -2 binary64)))
(* -2 (pow t 2))
(.f64 t (.f64 t #s(literal -2 binary64)))
(* -2 (pow t 2))
(.f64 t (.f64 t #s(literal -2 binary64)))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))

eval86.0ms (1.1%)

Compiler: Compiled 16634 to 1386 computations (91.7% saved)

prune76.0ms (1%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	746	0	746
Fresh	0	1	1
Picked	0	5	5
Done	0	5	5
Total	746	11	757

Accuracy

100.0%

Counts

757 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.0%	(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))
✓	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))
✓	52.7%	(+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)))
✓	52.7%	(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
✓	52.0%	(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
✓	50.8%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
✓	50.6%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (*.f64 t t)))
✓	50.2%	(+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 (.f64 t (*.f64 t #s(literal -2 binary64))) t)))
✓	51.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
✓	59.4%	#s(literal 5/6 binary64)
✓	58.6%	#s(literal 1/2 binary64)

Compiler

Compiled 108 to 80 computations (25.9% saved)

simplify130.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)
✓	cost-diff	(+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t))
✓	cost-diff	(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)
✓	cost-diff	(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))

Rules

1740×	`fnmadd-define`
1568×	`fmsub-define`
1476×	`fmm-def`
1302×	`fma-define`
1232×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	53
1	15	53
2	24	53
3	39	53
4	70	53
5	117	53
6	215	53
7	392	53
8	943	53
9	2133	53
10	5127	53
0	8085	53

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- 5/6 (/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t))
5/6
(/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t)
(+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t))
2/9
(/ (+ -1/27 (/ -4/81 t)) t)
(+ -1/27 (/ -4/81 t))
-1/27
(/ -4/81 t)
-4/81
t

Outputs
(- 5/6 (/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)) t))
5/6
#s(literal 5/6 binary64)
(/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t)
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)
(+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t))
(+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t))
2/9
#s(literal 2/9 binary64)
(/ (+ -1/27 (/ -4/81 t)) t)
(/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)
(+ -1/27 (/ -4/81 t))
(+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t))
-1/27
#s(literal -1/27 binary64)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
-4/81
#s(literal -4/81 binary64)
t

localize73.0ms (0.9%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t))
✓	accuracy	99.7%	(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)
✓	accuracy	99.7%	(/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)
✓	accuracy	99.5%	(/.f64 #s(literal -4/81 binary64) t)

Results

57.0ms

256×

valid

Compiler

Compiled 55 to 12 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

...c/correct-round.rkt:119:19: 34.0ms (77.1% of total)

ival-div: 6.0ms (13.6% of total)

ival-add: 3.0ms (6.8% of total)

ival-sub: 1.0ms (2.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series4.0ms (0%)

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (- 5/6 (/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t))>
#<alt (/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t)>
#<alt (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t))>
#<alt (/ (+ -1/27 (/ -4/81 t)) t)>
#<alt (/ -4/81 t)>
#<alt (+ -1/27 (/ -4/81 t))>

Outputs
#<alt (/ 4/81 (pow t 3))>
#<alt (/ (+ 4/81 (* 1/27 t)) (pow t 3))>
#<alt (/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3))>
#<alt (/ (+ 4/81 (* t (+ 1/27 (* t (- (* 5/6 t) 2/9))))) (pow t 3))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))>
#<alt (- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))>
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))>
#<alt (/ -4/81 (pow t 3))>
#<alt (/ (- (* -1/27 t) 4/81) (pow t 3))>
#<alt (/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 3))>
#<alt (/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 3))>
#<alt (/ 2/9 t)>
#<alt (/ (- 2/9 (* 1/27 (/ 1 t))) t)>
#<alt (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)>
#<alt (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)>
#<alt (/ 2/9 t)>
#<alt (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))>
#<alt (* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t))>
#<alt (* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t))>
#<alt (/ -4/81 (pow t 2))>
#<alt (/ (- (* -1/27 t) 4/81) (pow t 2))>
#<alt (/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 2))>
#<alt (/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 2))>
#<alt 2/9>
#<alt (- 2/9 (* 1/27 (/ 1 t)))>
#<alt (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))>
#<alt (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))>
#<alt 2/9>
#<alt (- 2/9 (* 1/27 (/ 1 t)))>
#<alt (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))>
#<alt (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))>
#<alt (/ -4/81 (pow t 2))>
#<alt (/ (- (* -1/27 t) 4/81) (pow t 2))>
#<alt (/ (- (* -1/27 t) 4/81) (pow t 2))>
#<alt (/ (- (* -1/27 t) 4/81) (pow t 2))>
#<alt (/ -1/27 t)>
#<alt (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))>
#<alt (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))>
#<alt (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))>
#<alt (/ -1/27 t)>
#<alt (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))>
#<alt (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))>
#<alt (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))>
#<alt (/ -4/81 t)>
#<alt (/ -4/81 t)>
#<alt (/ -4/81 t)>
#<alt (/ -4/81 t)>
#<alt (/ -4/81 t)>
#<alt (/ -4/81 t)>
#<alt (/ -4/81 t)>
#<alt (/ -4/81 t)>
#<alt (/ -4/81 t)>
#<alt (/ -4/81 t)>
#<alt (/ -4/81 t)>
#<alt (/ -4/81 t)>
#<alt (/ -4/81 t)>
#<alt (/ (- (* -1/27 t) 4/81) t)>
#<alt (/ (- (* -1/27 t) 4/81) t)>
#<alt (/ (- (* -1/27 t) 4/81) t)>
#<alt -1/27>
#<alt (* -1 (+ 1/27 (* 4/81 (/ 1 t))))>
#<alt (* -1 (+ 1/27 (* 4/81 (/ 1 t))))>
#<alt (* -1 (+ 1/27 (* 4/81 (/ 1 t))))>
#<alt -1/27>
#<alt (* -1 (+ 1/27 (* 4/81 (/ 1 t))))>
#<alt (* -1 (+ 1/27 (* 4/81 (/ 1 t))))>
#<alt (* -1 (+ 1/27 (* 4/81 (/ 1 t))))>

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	t	@	-inf	(/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t)
0.0ms	t	@	0	(- 5/6 (/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t))
0.0ms	t	@	0	(/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t)
0.0ms	t	@	0	(/ -4/81 t)
0.0ms	t	@	inf	(/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t)

rewrite373.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4522×	`-lowering-.f32`
4522×	`-lowering-.f64`
4322×	`/-lowering-/.f32`
4322×	`/-lowering-/.f64`
1352×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	76	48
2	707	48
0	8543	48

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 340

Calls

Call 1

Inputs
(- 5/6 (/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t))
(/ (+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t)) t)
(+ 2/9 (/ (+ -1/27 (/ -4/81 t)) t))
(/ (+ -1/27 (/ -4/81 t)) t)
(/ -4/81 t)
(+ -1/27 (/ -4/81 t))

Outputs
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #s(literal -2/9 binary64)) t))
(+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #s(literal -2/9 binary64)) t) #s(literal 5/6 binary64))
(+.f64 (/.f64 #s(literal 125/216 binary64) (+.f64 #s(literal 25/36 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #s(literal -2/9 binary64)) t) #s(literal -5/6 binary64)) (/.f64 t (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #s(literal -2/9 binary64)))))) (neg.f64 (/.f64 (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)) (/.f64 t (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)))) (+.f64 #s(literal 25/36 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #s(literal -2/9 binary64)) t) #s(literal -5/6 binary64)) (/.f64 t (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #s(literal -2/9 binary64))))))))
(+.f64 (/.f64 #s(literal 25/36 binary64) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))) (neg.f64 (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)))))
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t) #s(literal 5/6 binary64)))
(-.f64 (/.f64 #s(literal 125/216 binary64) (+.f64 #s(literal 25/36 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #s(literal -2/9 binary64)) t) #s(literal -5/6 binary64)) (/.f64 t (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #s(literal -2/9 binary64)))))) (/.f64 (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)) (/.f64 t (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)))) (+.f64 #s(literal 25/36 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #s(literal -2/9 binary64)) t) #s(literal -5/6 binary64)) (/.f64 t (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #s(literal -2/9 binary64)))))))
(-.f64 (/.f64 #s(literal 25/36 binary64) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))))
(fma.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) (/.f64 #s(literal -1 binary64) t) #s(literal 5/6 binary64))
(fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #s(literal -2/9 binary64)) (/.f64 #s(literal 1 binary64) t) #s(literal 5/6 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t) #s(literal 5/6 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 125/216 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #s(literal -2/9 binary64)) (/.f64 t (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 25/36 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #s(literal -2/9 binary64)) t) #s(literal -5/6 binary64)) (/.f64 t (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #s(literal -2/9 binary64))))))))
(neg.f64 (/.f64 (+.f64 #s(literal 25/36 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #s(literal -2/9 binary64)) (/.f64 t (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)))) (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #s(literal -2/9 binary64)) t) #s(literal -5/6 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -125/216 binary64) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)) (/.f64 t (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t))))) (+.f64 #s(literal 25/36 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #s(literal -2/9 binary64)) t) #s(literal -5/6 binary64)) (/.f64 t (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #s(literal -2/9 binary64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal -25/36 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))))
(/.f64 (+.f64 #s(literal 125/216 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #s(literal -2/9 binary64)) (/.f64 t (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))))) (+.f64 #s(literal 25/36 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #s(literal -2/9 binary64)) t) #s(literal -5/6 binary64)) (/.f64 t (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #s(literal -2/9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #s(literal -2/9 binary64)) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #s(literal -2/9 binary64)) t))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 25/36 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #s(literal -2/9 binary64)) (/.f64 t (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)) t) #s(literal -2/9 binary64)) t)))))
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(/.f64 (.f64 (-.f64 #s(literal 1/387420489 binary64) (.f64 (/.f64 #s(literal -64/531441 binary64) (.f64 t (.f64 t t))) (/.f64 #s(literal -64/531441 binary64) (.f64 t (.f64 t t))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/729 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16/6561 binary64) t) #s(literal 4/2187 binary64)) t)))) (-.f64 #s(literal -1/19683 binary64) (/.f64 #s(literal -64/531441 binary64) (.f64 t (.f64 t t)))))
(/.f64 (.f64 (-.f64 #s(literal 1/387420489 binary64) (.f64 (/.f64 #s(literal -64/531441 binary64) (.f64 t (.f64 t t))) (/.f64 #s(literal -64/531441 binary64) (.f64 t (.f64 t t))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)))) (+.f64 #s(literal 1/531441 binary64) (.f64 (/.f64 #s(literal 16/6561 binary64) (.f64 t t)) (+.f64 (/.f64 #s(literal 16/6561 binary64) (*.f64 t t)) #s(literal 1/729 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/531441 binary64) (/.f64 (/.f64 #s(literal 16/6561 binary64) (.f64 t t)) (.f64 (.f64 t t) #s(literal 6561/16 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)))) (+.f64 #s(literal 1/729 binary64) (/.f64 #s(literal 16/6561 binary64) (*.f64 t t))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal -1/19683 binary64) (/.f64 #s(literal -64/531441 binary64) (.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/729 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16/6561 binary64) t) #s(literal 4/2187 binary64)) t))))
(.f64 (+.f64 #s(literal -1/19683 binary64) (/.f64 #s(literal -64/531441 binary64) (.f64 t (.f64 t t)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16/6561 binary64) (.f64 t t)) (+.f64 #s(literal 1/729 binary64) (/.f64 #s(literal -4/2187 binary64) t)))))
(.f64 (+.f64 #s(literal -1/19683 binary64) (/.f64 #s(literal -64/531441 binary64) (.f64 t (.f64 t t)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/729 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16/6561 binary64) t) #s(literal 4/2187 binary64)) t))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)))
(.f64 (+.f64 #s(literal 1/729 binary64) (/.f64 #s(literal -16/6561 binary64) (.f64 t t))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))))
(.f64 (+.f64 #s(literal 1/729 binary64) (/.f64 #s(literal -16/6561 binary64) (.f64 t t))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal 1/27 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/19683 binary64) (/.f64 #s(literal -64/531441 binary64) (.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/729 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16/6561 binary64) t) #s(literal 4/2187 binary64)) t)))))
(.f64 (+.f64 #s(literal -1/729 binary64) (/.f64 #s(literal 16/6561 binary64) (.f64 t t))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -4/81 binary64) t))))
(.f64 (+.f64 (/.f64 #s(literal 16/6561 binary64) (.f64 t t)) #s(literal -1/729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal 1/27 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/19683 binary64) (/.f64 #s(literal -64/531441 binary64) (.f64 t (.f64 t t))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/729 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16/6561 binary64) t) #s(literal 4/2187 binary64)) t))))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/729 binary64) (/.f64 #s(literal -16/6561 binary64) (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))))

simplify200.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1964×	`-lowering-.f32`
1964×	`-lowering-.f64`
1698×	`fmsub-define`
1636×	`fma-lowering-fma.f32`
1636×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	479
1	212	448
2	538	437
3	1301	429
4	3515	429
0	8207	429

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(/ 4/81 (pow t 3))
(/ (+ 4/81 (* 1/27 t)) (pow t 3))
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3))
(/ (+ 4/81 (* t (+ 1/27 (* t (- (* 5/6 t) 2/9))))) (pow t 3))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
(/ -4/81 (pow t 3))
(/ (- (* -1/27 t) 4/81) (pow t 3))
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 3))
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 3))
(/ 2/9 t)
(/ (- 2/9 (* 1/27 (/ 1 t))) t)
(/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)
(/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)
(/ 2/9 t)
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))
(* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t))
(* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t))
(/ -4/81 (pow t 2))
(/ (- (* -1/27 t) 4/81) (pow t 2))
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 2))
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 2))
2/9
(- 2/9 (* 1/27 (/ 1 t)))
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))
2/9
(- 2/9 (* 1/27 (/ 1 t)))
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))
(/ -4/81 (pow t 2))
(/ (- (* -1/27 t) 4/81) (pow t 2))
(/ (- (* -1/27 t) 4/81) (pow t 2))
(/ (- (* -1/27 t) 4/81) (pow t 2))
(/ -1/27 t)
(* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))
(* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))
(* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))
(/ -1/27 t)
(* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))
(* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))
(* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))
(/ -4/81 t)
(/ -4/81 t)
(/ -4/81 t)
(/ -4/81 t)
(/ -4/81 t)
(/ -4/81 t)
(/ -4/81 t)
(/ -4/81 t)
(/ -4/81 t)
(/ -4/81 t)
(/ -4/81 t)
(/ -4/81 t)
(/ -4/81 t)
(/ (- (* -1/27 t) 4/81) t)
(/ (- (* -1/27 t) 4/81) t)
(/ (- (* -1/27 t) 4/81) t)
-1/27
(* -1 (+ 1/27 (* 4/81 (/ 1 t))))
(* -1 (+ 1/27 (* 4/81 (/ 1 t))))
(* -1 (+ 1/27 (* 4/81 (/ 1 t))))
-1/27
(* -1 (+ 1/27 (* 4/81 (/ 1 t))))
(* -1 (+ 1/27 (* 4/81 (/ 1 t))))
(* -1 (+ 1/27 (* 4/81 (/ 1 t))))

Outputs
(/ 4/81 (pow t 3))
(/.f64 #s(literal 4/81 binary64) (.f64 t (.f64 t t)))
(/ (+ 4/81 (* 1/27 t)) (pow t 3))
(/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) (*.f64 t t))
(/ (+ 4/81 (* t (+ 1/27 (* -2/9 t)))) (pow t 3))
(/.f64 (+.f64 #s(literal 4/81 binary64) (.f64 t (+.f64 #s(literal 1/27 binary64) (.f64 t #s(literal -2/9 binary64))))) (.f64 t (.f64 t t)))
(/ (+ 4/81 (* t (+ 1/27 (* t (- (* 5/6 t) 2/9))))) (pow t 3))
(/.f64 (+.f64 #s(literal 4/81 binary64) (.f64 t (+.f64 #s(literal 1/27 binary64) (.f64 t (+.f64 #s(literal -2/9 binary64) (.f64 t #s(literal 5/6 binary64))))))) (.f64 t (*.f64 t t)))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)) t))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)) t))
(/ -4/81 (pow t 3))
(/.f64 #s(literal -4/81 binary64) (.f64 t (.f64 t t)))
(/ (- (* -1/27 t) 4/81) (pow t 3))
(/.f64 (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) t)
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 3))
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)) t)
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 3))
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ (- 2/9 (* 1/27 (/ 1 t))) t)
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)
(/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)) t)
(/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)) t)
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)
(* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t))
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)) t)
(* -1 (/ (- (+ (/ 4/81 (pow t 2)) (* 1/27 (/ 1 t))) 2/9) t))
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)) t)
(/ -4/81 (pow t 2))
(/.f64 #s(literal -4/81 binary64) (*.f64 t t))
(/ (- (* -1/27 t) 4/81) (pow t 2))
(/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 2))
(+.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t))
(/ (- (* t (- (* 2/9 t) 1/27)) 4/81) (pow t 2))
(+.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t))
2/9
#s(literal 2/9 binary64)
(- 2/9 (* 1/27 (/ 1 t)))
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t))
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))
(+.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t))
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))
(+.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t))
2/9
#s(literal 2/9 binary64)
(- 2/9 (* 1/27 (/ 1 t)))
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t))
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))
(+.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t))
(+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t)))
(+.f64 #s(literal 2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t))
(/ -4/81 (pow t 2))
(/.f64 #s(literal -4/81 binary64) (*.f64 t t))
(/ (- (* -1/27 t) 4/81) (pow t 2))
(/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)
(/ (- (* -1/27 t) 4/81) (pow t 2))
(/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)
(/ (- (* -1/27 t) 4/81) (pow t 2))
(/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)
(/ -1/27 t)
(/.f64 #s(literal -1/27 binary64) t)
(* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))
(/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)
(* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))
(/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)
(* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))
(/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)
(/ -1/27 t)
(/.f64 #s(literal -1/27 binary64) t)
(* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))
(/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)
(* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))
(/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)
(* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))
(/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
(/ -4/81 t)
(/.f64 #s(literal -4/81 binary64) t)
(/ (- (* -1/27 t) 4/81) t)
(-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))
(/ (- (* -1/27 t) 4/81) t)
(-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))
(/ (- (* -1/27 t) 4/81) t)
(-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))
-1/27
#s(literal -1/27 binary64)
(* -1 (+ 1/27 (* 4/81 (/ 1 t))))
(-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))
(* -1 (+ 1/27 (* 4/81 (/ 1 t))))
(-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))
(* -1 (+ 1/27 (* 4/81 (/ 1 t))))
(-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))
-1/27
#s(literal -1/27 binary64)
(* -1 (+ 1/27 (* 4/81 (/ 1 t))))
(-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))
(* -1 (+ 1/27 (* 4/81 (/ 1 t))))
(-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))
(* -1 (+ 1/27 (* 4/81 (/ 1 t))))
(-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))

eval53.0ms (0.7%)

Compiler: Compiled 13101 to 1562 computations (88.1% saved)

prune55.0ms (0.7%)

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	412	0	412
Fresh	0	0	0
Picked	0	1	1
Done	0	10	10
Total	412	11	423

Accuracy

100.0%

Counts

423 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.0%	(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))
✓	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))
✓	52.7%	(+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)))
✓	52.7%	(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
✓	52.0%	(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
✓	50.8%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
✓	50.6%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (*.f64 t t)))
✓	50.2%	(+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 (.f64 t (*.f64 t #s(literal -2 binary64))) t)))
✓	51.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
✓	59.4%	#s(literal 5/6 binary64)
✓	58.6%	#s(literal 1/2 binary64)

Compiler

Compiled 246 to 145 computations (41.1% saved)

regimes33.0ms (0.4%)

Counts

13 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (*.f64 t t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 (.f64 t (*.f64 t #s(literal -2 binary64))) t)))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))))

Outputs

(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))

Calls

7 calls:

10.0ms	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))
4.0ms	(/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))
4.0ms	t
3.0ms	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))))
3.0ms	(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))

Results

Accuracy	Segments	Branch
100.0%	1	`t`
100.0%	1	`(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))))`
100.0%	1	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))`
100.0%	1	`(+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))`
100.0%	1	`(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))`
100.0%	1	`(-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))`
100.0%	1	`(/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))`

Compiler

Compiled 132 to 58 computations (56.1% saved)

regimes5.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (*.f64 t t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 (.f64 t (*.f64 t #s(literal -2 binary64))) t)))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))

Outputs

(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))

(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))

(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`t`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (*.f64 t t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 (.f64 t (*.f64 t #s(literal -2 binary64))) t)))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))

Outputs

(+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)))

(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))

(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`t`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

9 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (*.f64 t t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 (.f64 t (*.f64 t #s(literal -2 binary64))) t)))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)))

Outputs

(+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)))

(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))

(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`t`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

8 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (*.f64 t t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
(+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 t (+.f64 (.f64 t (*.f64 t #s(literal -2 binary64))) t)))

Outputs

(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))

(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))

(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`t`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (*.f64 t t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))

Outputs

(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))

(+.f64 #s(literal 1/2 binary64) (*.f64 t t))

(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.5%	3	`t`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (*.f64 t t)))

Outputs
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	3	`t`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))

Outputs
#s(literal 5/6 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
#s(literal 5/6 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.6%	3	`t`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)

Outputs
#s(literal 5/6 binary64)
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.4%	3	`t`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)

Outputs
#s(literal 1/2 binary64)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
58.6%	1	`t`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch53.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	0.39518043610900977	9992.945384687595
17.0ms	-2872.220734989545	-4.49104578964714e-5

Results

40.0ms

272×

valid

Compiler

Compiled 544 to 406 computations (25.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 19.0ms (58% of total)

ival-div: 8.0ms (24.4% of total)

ival-sub: 3.0ms (9.2% of total)

ival-add: 3.0ms (9.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch50.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.39518043610900977	9992.945384687595
29.0ms	-2872.220734989545	-4.49104578964714e-5

Results

35.0ms

272×

valid

Compiler

Compiled 494 to 373 computations (24.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 19.0ms (69.9% of total)

ival-sub: 3.0ms (11% of total)

ival-add: 3.0ms (11% of total)

ival-mult: 2.0ms (7.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch55.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	0.39518043610900977	9992.945384687595
17.0ms	-2872.220734989545	-4.49104578964714e-5

Results

22.0ms

272×

valid

Compiler

Compiled 460 to 356 computations (22.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 8.0ms (51.5% of total)

ival-sub: 3.0ms (19.3% of total)

ival-add: 3.0ms (19.3% of total)

ival-mult: 2.0ms (12.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch85.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.39518043610900977	9992.945384687595
43.0ms	-2872.220734989545	-4.49104578964714e-5

Results

48.0ms

272×

valid

Compiler

Compiled 442 to 338 computations (23.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-sub: 28.0ms (68% of total)

ival-div: 8.0ms (19.4% of total)

ival-add: 3.0ms (7.3% of total)

ival-mult: 2.0ms (4.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch176.0ms (2.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
154.0ms	6.358483563318079e-7	0.39518043610900977
17.0ms	-2872.220734989545	-4.49104578964714e-5

Results

24.0ms

288×

valid

Compiler

Compiled 358 to 267 computations (25.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 8.0ms (47.5% of total)

ival-sub: 3.0ms (17.8% of total)

ival-add: 3.0ms (17.8% of total)

ival-mult: 2.0ms (11.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch110.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	0.39518043610900977	9992.945384687595
68.0ms	-2872.220734989545	-4.49104578964714e-5

Results

97.0ms

272×

valid

Compiler

Compiled 272 to 202 computations (25.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-div: 31.0ms (79.1% of total)

ival-sub: 3.0ms (7.7% of total)

ival-add: 3.0ms (7.7% of total)

ival-mult: 2.0ms (5.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch37.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.39518043610900977	9992.945384687595
18.0ms	-2872.220734989545	-4.49104578964714e-5

Results

25.0ms

272×

valid

Compiler

Compiled 204 to 151 computations (26% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 8.0ms (44.4% of total)

ival-sub: 4.0ms (22.2% of total)

ival-add: 4.0ms (22.2% of total)

ival-mult: 2.0ms (11.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch43.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.39518043610900977	9992.945384687595
22.0ms	-2872.220734989545	-4.49104578964714e-5

Results

31.0ms

272×

valid

Compiler

Compiled 136 to 117 computations (14% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 16.0ms (68.2% of total)

ival-sub: 3.0ms (12.8% of total)

ival-add: 3.0ms (12.8% of total)

ival-mult: 2.0ms (8.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify35.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

56×	`+-commutative_binary64`
30×	`*-commutative_binary64`
22×	`sub-neg_binary64`
18×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	232
1	138	232
2	147	232
3	157	232
4	170	232
5	181	232
6	194	232
7	201	232
8	205	232
9	206	232

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))
(if (<=.f64 t #s(literal -3152519739159347/9007199254740992 binary64)) (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)) (if (<=.f64 t #s(literal 3242591731706757/4503599627370496 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))))
(if (<=.f64 t #s(literal -5224175567749775/9007199254740992 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))) (if (<=.f64 t #s(literal 5404319552844595/9007199254740992 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))))
(if (<=.f64 t #s(literal -5404319552844595/9007199254740992 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))) (if (<=.f64 t #s(literal 8106479329266893/18014398509481984 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))))
(if (<=.f64 t #s(literal -5404319552844595/9007199254740992 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (if (<=.f64 t #s(literal 8106479329266893/18014398509481984 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))))
(if (<=.f64 t #s(literal -7385903388887613/9007199254740992 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (if (<=.f64 t #s(literal 2116691824864133/9007199254740992 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))))
(if (<=.f64 t #s(literal -3602879701896397/4503599627370496 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 2476979795053773/4503599627370496 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(if (<=.f64 t #s(literal -8286623314361713/9007199254740992 binary64)) #s(literal 5/6 binary64) (if (<=.f64 t #s(literal 5404319552844595/9007199254740992 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 5/6 binary64)))
(if (<=.f64 t #s(literal -5944751508129055/18014398509481984 binary64)) #s(literal 5/6 binary64) (if (<=.f64 t #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 5/6 binary64)))
#s(literal 1/2 binary64)

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))
(if (<=.f64 t #s(literal -3152519739159347/9007199254740992 binary64)) (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t)) (if (<=.f64 t #s(literal 3242591731706757/4503599627370496 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) t)) t))))
(if (<=.f64 t #s(literal -5224175567749775/9007199254740992 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))) (if (<=.f64 t #s(literal 5404319552844595/9007199254740992 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))))
(if (<=.f64 t #s(literal -5404319552844595/9007199254740992 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))) (if (<=.f64 t #s(literal 8106479329266893/18014398509481984 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))))
(if (<=.f64 t #s(literal -5404319552844595/9007199254740992 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (if (<=.f64 t #s(literal 8106479329266893/18014398509481984 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))))
(if (<=.f64 t #s(literal -7385903388887613/9007199254740992 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (if (<=.f64 t #s(literal 2116691824864133/9007199254740992 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))))
(if (<=.f64 t #s(literal -3602879701896397/4503599627370496 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 2476979795053773/4503599627370496 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(if (<=.f64 t #s(literal -8286623314361713/9007199254740992 binary64)) #s(literal 5/6 binary64) (if (<=.f64 t #s(literal 5404319552844595/9007199254740992 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 5/6 binary64)))
(if (<=.f64 t #s(literal -5944751508129055/18014398509481984 binary64)) #s(literal 5/6 binary64) (if (<=.f64 t #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 5/6 binary64)))
#s(literal 1/2 binary64)

soundness809.0ms (10.5%)

Rules

2534×	`-lowering-.f32`
2534×	`-lowering-.f64`
2066×	`+-lowering-+.f64`
2066×	`+-lowering-+.f32`
1822×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	25	16
2	55	16
3	156	13
4	623	13
5	2840	13
0	8210	13
0	151	500
1	482	432
2	1240	422
3	3129	416
0	8302	416

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 356 to 160 computations (55.1% saved)

preprocess93.0ms (1.2%)

Compiler: Compiled 590 to 204 computations (65.4% saved)

Iter	Nodes	Cost
0	23	120
1	49	116
2	86	116
3	115	116
4	136	116
5	153	116
6	200	116
7	218	116
0	218	116

Iter	Nodes	Cost
0	90	232
1	138	232
2	147	232
3	157	232
4	170	232
5	181	232
6	194	232
7	201	232
8	205	232
9	206	232

Iter	Nodes	Cost
0	23	120
1	49	116
2	86	116
3	115	116
4	136	116
5	153	116
6	200	116
7	218	116
0	218	116

Iter	Nodes	Cost
0	90	232
1	138	232
2	147	232
3	157	232
4	170	232
5	181	232
6	194	232
7	201	232
8	205	232
9	206	232

analyze300.0ms (3.9%)

sample1.8s (22.9%)

preprocess243.0ms (3.1%)

explain238.0ms (3.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify145.0ms (1.9%)

localize63.0ms (0.8%)

series3.0ms (0%)

rewrite373.0ms (4.8%)

simplify212.0ms (2.7%)

eval91.0ms (1.2%)

prune73.0ms (0.9%)

simplify27.0ms (0.4%)

localize85.0ms (1.1%)

series8.0ms (0.1%)

rewrite357.0ms (4.6%)

simplify243.0ms (3.1%)

eval76.0ms (1%)

prune75.0ms (1%)

simplify14.0ms (0.2%)

localize128.0ms (1.7%)

series6.0ms (0.1%)

rewrite367.0ms (4.7%)

simplify178.0ms (2.3%)

eval86.0ms (1.1%)

prune76.0ms (1%)

simplify130.0ms (1.7%)

localize73.0ms (0.9%)

series4.0ms (0%)

rewrite373.0ms (4.8%)

simplify200.0ms (2.6%)

eval53.0ms (0.7%)

prune55.0ms (0.7%)

regimes33.0ms (0.4%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch53.0ms (0.7%)

bsearch50.0ms (0.6%)

bsearch55.0ms (0.7%)

bsearch85.0ms (1.1%)

bsearch176.0ms (2.3%)

bsearch110.0ms (1.4%)

bsearch37.0ms (0.5%)

bsearch43.0ms (0.6%)

simplify35.0ms (0.5%)

soundness809.0ms (10.5%)

preprocess93.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	23	120
1	49	116
2	86	116
3	115	116
4	136	116
5	153	116
6	200	116
7	218	116
0	218	116

Iter	Nodes	Cost
0	90	232
1	138	232
2	147	232
3	157	232
4	170	232
5	181	232
6	194	232
7	201	232
8	205	232
9	206	232