Metrics for Kahan p13 Example 3

analyze284.0ms (3.4%)

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: 183.0ms

ival-div: 64.0ms (35% of total)

ival-mult: 44.0ms (24% of total)

ival-add: 40.0ms (21.9% of total)

ival-sub: 31.0ms (16.9% of total)

const: 3.0ms (1.6% of total)

backward-pass: 1.0ms (0.5% of total)

sample1.2s (14.4%)

Results

957.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 727.0ms

ival-div: 334.0ms (45.9% of total)

ival-mult: 142.0ms (19.5% of total)

ival-sub: 129.0ms (17.7% of total)

ival-add: 105.0ms (14.4% of total)

const: 14.0ms (1.9% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess246.0ms (2.9%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	23	87
1	52	75
2	136	75
3	412	57
4	1602	57
5	7087	57
0	12	26
1	24	25
2	54	25
3	155	19
4	621	19
5	2833	18
0	8218	18

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 (fnmsub (+ 2 (/ 2 (- -1 t))) (+ 2 (/ 2 (- -1 t))) 2)))
(- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))) (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t)))))))))
(+ 1 (recip (fnmsub (+ 2 (/ 2 (+ t -1))) (+ 2 (/ 2 (+ t -1))) 2)))
(neg (- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))) (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))))))))
(+ (recip (fma (+ 2 (/ 2 (+ t -1))) (+ 2 (/ 2 (+ t -1))) 2)) -1)

explain235.0ms (2.8%)

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

54.0ms	270×	0	valid
39.0ms	92×	2	valid
38.0ms	150×	1	valid

Compiler

Compiled 310 to 38 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-div: 30.0ms (44.9% of total)

ival-sub: 10.0ms (15% of total)

backward-pass: 9.0ms (13.5% of total)

ival-add: 9.0ms (13.5% of total)

ival-mult: 9.0ms (13.5% of total)

const: 1.0ms (1.5% 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 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%	(+.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 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%

(+.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 50 to 27 computations (46% saved)

simplify201.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	640	(*.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)))))
✓	cost-diff	768	(+.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))))))
✓	cost-diff	768	(/.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)))))))
✓	cost-diff	768	(-.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))))))))
✓	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

1822×	`sum5-define`
1794×	`sum4-define`
1394×	`-lowering-.f32`
1394×	`-lowering-.f64`
1368×	`+-lowering-+.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	24	204
1	52	198
2	126	192
3	255	171
4	801	171
5	3106	163
0	8224	163

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

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

localize175.0ms (2.1%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.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)))))))
✓	accuracy	100.0%	(/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))
✓	accuracy	100.0%	(*.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)))))
✓	accuracy	54.9%	(-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t))
✓	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)) #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

49.0ms	135×	0	valid
37.0ms	75×	1	valid
35.0ms	46×	2	valid

Compiler

Compiled 233 to 25 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-add: 36.0ms (44.9% of total)

ival-div: 20.0ms (25% of total)

backward-pass: 10.0ms (12.5% of total)

ival-mult: 7.0ms (8.7% of total)

ival-sub: 6.0ms (7.5% of total)

const: 1.0ms (1.2% of total)

series6.0ms (0.1%)

Counts

12 → 144

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

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

Calls

36 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 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))))
0.0ms	t	@	inf	(+ 1 (/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ (/ 2 (- -1 t)) 4)))))
0.0ms	t	@	0	(- 1 (/ 1 (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t))))))))

rewrite491.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4246×	`-lowering-.f32`
4246×	`-lowering-.f64`
3444×	`/-lowering-/.f32`
3444×	`/-lowering-/.f64`
1868×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	150
1	199	147
2	1974	146
0	8369	146

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 479

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

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))))))) (/.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))))))))
(fma.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))))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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))
(fma.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) #s(literal 1 binary64))
(fma.f64 (pow.f64 (+.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 -1/2 binary64)) (pow.f64 (+.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 -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -216 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)))) (.f64 (+.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)) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 4 binary64))))))) (+.f64 #s(literal 36 binary64) (.f64 (/.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 (/.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 -6 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 36 binary64) (.f64 (/.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (.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 #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)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 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))))) #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 (+.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 -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 (-.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 (/.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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.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 -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 (-.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 #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 (+.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 -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 (/.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 (-.f64 #s(literal 1 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))))) (+.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 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.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 -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))))))))) (neg.f64 (+.f64 #s(literal 1 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))))) #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 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (.f64 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)))))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (.f64 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)))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -8 binary64) (.f64 (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (.f64 (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) (neg.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.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))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) (neg.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 (-.f64 (.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (.f64 (/.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))))))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.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)))))) (/.f64 #s(literal 8 binary64) (.f64 (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (.f64 (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.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)))))) (+.f64 #s(literal 4 binary64) (.f64 (/.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))))))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) (.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 (/.f64 #s(literal 4 binary64) (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) (*.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))))))
(pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.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)))))) (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -8 binary64) (.f64 (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (.f64 (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))) #s(literal -1 binary64))
(pow.f64 (/.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 4 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -8 binary64) (.f64 (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (.f64 (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (/.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))))))))
(.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))
(.f64 (pow.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -8 binary64) (.f64 (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (.f64 (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (/.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))))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 2 binary64) t))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 2 binary64) t)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 2 binary64) t)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 2 binary64) t))))
(/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))
(/.f64 (/.f64 #s(literal 2 binary64) t) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) t)))))
(/.f64 #s(literal -2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))
(/.f64 #s(literal -2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) (-.f64 #s(literal 0 binary64) t)))
(/.f64 (/.f64 #s(literal -2 binary64) t) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) t))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (/.f64 t #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) t)
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 0 binary64) t))
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) t)
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 2 binary64) t)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 t #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) (/.f64 #s(literal 2 binary64) t)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 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 #s(literal 1 binary64) (.f64 t (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))
(*.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))
(*.f64 (/.f64 #s(literal -2 binary64) t) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) t)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) (/.f64 #s(literal 2 binary64) t))
(.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 t (*.f64 t t))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64)) t)))
(.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 t t)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) t))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)))

simplify270.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2856×	`fma-lowering-fma.f32`
2856×	`fma-lowering-fma.f64`
2062×	`sum3-define`
1970×	`fmsub-define`
1910×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	236	1224
1	760	1081
2	2051	1045
3	5380	1044
0	8636	1044

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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

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

eval109.0ms (1.3%)

Compiler: Compiled 26390 to 3347 computations (87.3% saved)

prune85.0ms (1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	696	10	706
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	697	11	708

Accuracy

100.0%

Counts

708 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.7%	(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))
	51.7%	(-.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))))))
▶	59.6%	(+.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 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) t))))))
	52.5%	(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t))
	51.7%	(+.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))))))
▶	50.0%	(+.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))
	59.2%	#s(literal 5/6 binary64)
▶	58.6%	#s(literal 1/2 binary64)

Compiler

Compiled 204 to 159 computations (22.1% saved)

simplify223.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
✓	cost-diff	0	(.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))
✓	cost-diff	0	(.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal 2/9 binary64) t)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))
✓	cost-diff	0	(*.f64 t t)
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) t)))
✓	cost-diff	128	(+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) t))))
✓	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 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) t)))))
✓	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 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) t))))))

Rules

2234×	`fnmadd-define`
1648×	`fma-define`
1622×	`fma-lowering-fma.f32`
1622×	`fma-lowering-fma.f64`
1516×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	145
1	61	134
2	150	129
3	298	129
4	440	129
5	516	129
6	587	129
7	650	129
8	698	129
9	753	129
10	1254	129
11	1501	129
12	1926	129
13	2728	129
14	4638	129
15	5612	129
16	6266	129
17	7025	129
0	8006	129

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(+ 1 (/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ 4 (/ -2 t))))))
(+.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) t)) (+.f64 #s(literal 1 binary64) t)))))
1
#s(literal 1 binary64)
(/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ 4 (/ -2 t)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -4 binary64) t)) (+.f64 #s(literal 1 binary64) t))))
(+ -6 (* (/ 2 (+ 1 t)) (+ 4 (/ -2 t))))
(+.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -4 binary64) t)) (+.f64 #s(literal 1 binary64) t)))
-6
#s(literal -6 binary64)
(* (/ 2 (+ 1 t)) (+ 4 (/ -2 t)))
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -4 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
(+ 4 (/ -2 t))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) t))
4
#s(literal 4 binary64)
(/ -2 t)
(/.f64 #s(literal -2 binary64) t)
-2
#s(literal -2 binary64)
1/2
#s(literal 1/2 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 (+ (/ 2/9 t) 1/6))
(+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64))
1
#s(literal 1 binary64)
(+ (/ 2/9 t) 1/6)
(+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64))
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
2/9
#s(literal 2/9 binary64)
t
1/6
#s(literal 1/6 binary64)
(+ 1/2 (* t (* t (+ 1 (* t -2)))))
(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) t))))
1/2
#s(literal 1/2 binary64)
(* t (* t (+ 1 (* t -2))))
(.f64 (.f64 t 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)

localize139.0ms (1.7%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	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 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 2/9 binary64) t)
✓	accuracy	100.0%	(*.f64 t t)
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
✓	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 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) t))))))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t))
✓	accuracy	100.0%	(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) t)))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) t)))))

Results

91.0ms

256×

valid

Compiler

Compiled 149 to 28 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-add: 26.0ms (46.7% of total)

ival-div: 10.0ms (18% of total)

ival-mult: 9.0ms (16.2% of total)

...c/correct-round.rkt:119:19: 9.0ms (16.2% of total)

ival-sub: 1.0ms (1.8% of total)

const: 1.0ms (1.8% of total)

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

series8.0ms (0.1%)

Counts

15 → 180

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* -1/4 t))>
#<alt (+ 1 (* t (- (* -3/8 t) 1/4)))>
#<alt (+ 1 (* t (- (* t (- (* 3/16 t) 3/8)) 1/4)))>
#<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)) (* 13/81 (/ 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 (* 13/81 (/ 1 t))) t))) t)))>
#<alt (* -1/4 t)>
#<alt (* t (- (* -3/8 t) 1/4))>
#<alt (* t (- (* t (- (* 3/16 t) 3/8)) 1/4))>
#<alt (* t (- (* t (- (* t (+ 3/16 (* 21/32 t))) 3/8)) 1/4))>
#<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)) (* 13/81 (/ 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 (* 13/81 (/ 1 t))) t))) t)) 1/6)>
#<alt (/ -4 t)>
#<alt (/ (- (* 6 t) 4) t)>
#<alt (/ (- (* t (+ 6 (* -12 t))) 4) t)>
#<alt (/ (- (* t (+ 6 (* t (- (* 12 t) 12)))) 4) t)>
#<alt -6>
#<alt (- (* 8 (/ 1 t)) 6)>
#<alt (- (* 8 (/ 1 t)) (+ 6 (/ 12 (pow t 2))))>
#<alt (- (+ (* 8 (/ 1 t)) (* 12 (/ 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 (/ (- (* 12 (/ 1 t)) 12) t)) 8) t)) 6)>
#<alt (/ -4 t)>
#<alt (/ (- (* 12 t) 4) t)>
#<alt (/ (- (* t (+ 12 (* -12 t))) 4) t)>
#<alt (/ (- (* t (+ 12 (* t (- (* 12 t) 12)))) 4) t)>
#<alt (/ 8 t)>
#<alt (/ (- 8 (* 12 (/ 1 t))) t)>
#<alt (/ (- (+ 8 (/ 12 (pow t 2))) (* 12 (/ 1 t))) t)>
#<alt (/ (- (+ 8 (/ 12 (pow t 2))) (+ (* 12 (/ 1 t)) (* 12 (/ 1 (pow t 3))))) t)>
#<alt (/ 8 t)>
#<alt (* -1 (/ (- (* 12 (/ 1 t)) 8) t))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 12 (/ 1 t)) 12) t)) 8) t))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 12 (/ 1 t)) 12) t)) 12) t)) 8) t))>
#<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 (/ -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 (* 1/6 t)) t)>
#<alt (/ (+ 2/9 (* 1/6 t)) t)>
#<alt (/ (+ 2/9 (* 1/6 t)) t)>
#<alt 1/6>
#<alt (+ 1/6 (* 2/9 (/ 1 t)))>
#<alt (+ 1/6 (* 2/9 (/ 1 t)))>
#<alt (+ 1/6 (* 2/9 (/ 1 t)))>
#<alt 1/6>
#<alt (+ 1/6 (* 2/9 (/ 1 t)))>
#<alt (+ 1/6 (* 2/9 (/ 1 t)))>
#<alt (+ 1/6 (* 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 2>
#<alt (+ 2 (* -2 t))>
#<alt (+ 2 (* t (- (* 2 t) 2)))>
#<alt (+ 2 (* t (- (* t (+ 2 (* -2 t))) 2)))>
#<alt (/ 2 t)>
#<alt (/ (- 2 (* 2 (/ 1 t))) t)>
#<alt (/ (- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t))) t)>
#<alt (/ (- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3))))) t)>
#<alt (/ 2 t)>
#<alt (* -1 (/ (- (* 2 (/ 1 t)) 2) t))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2) t))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2) t)) 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)>

Calls

45 calls:

Time	Variable		Point	Expression
1.0ms	t	@	-inf	(- 1 (+ (/ 2/9 t) 1/6))
0.0ms	t	@	inf	(* t -2)
0.0ms	t	@	inf	(+ 1/2 (* t t))
0.0ms	t	@	inf	(+ 1/2 (* t (* t (+ 1 (* t -2)))))
0.0ms	t	@	0	(+ 1 (/ 1 (+ -6 (* (/ 2 (+ 1 t)) (+ 4 (/ -2 t))))))

rewrite477.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4202×	`-lowering-.f32`
4202×	`-lowering-.f64`
3178×	`/-lowering-/.f32`
3178×	`/-lowering-/.f64`
2080×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	117
1	197	106
2	1902	105
0	8244	105

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 490

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) t)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))))))
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) t)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) t)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))))) #s(literal 1 binary64) #s(literal 1 binary64))
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(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))) (.f64 t (.f64 (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64)))) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64)))))))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))) (-.f64 (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 t (.f64 (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64)))) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))))))
(/.f64 (-.f64 (.f64 t (.f64 (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64)))) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))))) #s(literal 1/4 binary64)) (-.f64 (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64)))))) (.f64 t (.f64 (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64)))) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))))))) (.f64 (-.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 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))) (-.f64 (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))) (.f64 t (.f64 (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64)))) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64)))))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 t (.f64 (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64)))) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))) (.f64 t (.f64 (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64)))) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))) (-.f64 (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))) #s(literal 1/2 binary64))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 t (.f64 (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64)))) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))))
(+.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t #s(literal -2 binary64)))))
(+.f64 (.f64 t t) (.f64 (.f64 t t) (.f64 t #s(literal -2 binary64))))
(+.f64 (.f64 t t) (.f64 (.f64 t (.f64 t #s(literal -2 binary64))) t))
(+.f64 (.f64 t t) (.f64 (.f64 t #s(literal -2 binary64)) (.f64 t t)))
(+.f64 (.f64 (.f64 t t) (.f64 t #s(literal -2 binary64))) (.f64 t t))
(+.f64 (.f64 (.f64 t #s(literal -2 binary64)) (.f64 t t)) (.f64 t t))
(fma.f64 #s(literal 1 binary64) (.f64 t t) (.f64 (.f64 t #s(literal -2 binary64)) (.f64 t t)))
(fma.f64 t t (.f64 t (.f64 t (*.f64 t #s(literal -2 binary64)))))
(fma.f64 t t (.f64 (.f64 t (*.f64 t #s(literal -2 binary64))) t))
(fma.f64 (.f64 t t) #s(literal 1 binary64) (.f64 (.f64 t t) (.f64 t #s(literal -2 binary64))))
(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))
(/.f64 (.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t #s(literal -2 binary64)) (-.f64 (.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 t t) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 t t)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) t)))
(.f64 t (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))) (*.f64 t t))
(.f64 (.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))) t)
(+.f64 t (.f64 t (.f64 t #s(literal -2 binary64))))
(+.f64 (.f64 t (.f64 t #s(literal -2 binary64))) t)
(fma.f64 #s(literal 1 binary64) t (.f64 t (.f64 t #s(literal -2 binary64))))
(fma.f64 t #s(literal 1 binary64) (.f64 t (.f64 t #s(literal -2 binary64))))
(fma.f64 t (*.f64 t #s(literal -2 binary64)) t)
(fma.f64 #s(literal -2 binary64) (*.f64 t t) t)
(fma.f64 (*.f64 t t) #s(literal -2 binary64) t)
(fma.f64 (*.f64 t #s(literal -2 binary64)) t t)
(/.f64 (+.f64 (.f64 t (.f64 t t)) (.f64 (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) #s(literal -8 binary64))) (+.f64 (.f64 t t) (-.f64 (.f64 (.f64 t (.f64 t #s(literal -2 binary64))) (.f64 t (.f64 t #s(literal -2 binary64)))) (.f64 t (.f64 t (*.f64 t #s(literal -2 binary64)))))))
(/.f64 (-.f64 (.f64 t t) (.f64 (.f64 t (.f64 t #s(literal -2 binary64))) (.f64 t (.f64 t #s(literal -2 binary64))))) (-.f64 t (.f64 t (.f64 t #s(literal -2 binary64)))))
(/.f64 (.f64 t (+.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t #s(literal -2 binary64)) (-.f64 (*.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 t t)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) t)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.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 t #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 t t))) t) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) t)))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))) t)
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) t))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 t t)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) t))))
(fma.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) t #s(literal 1 binary64))
(fma.f64 (*.f64 t #s(literal -2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t #s(literal -2 binary64)) (-.f64 (.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) t)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (*.f64 t t)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t #s(literal -2 binary64)) (-.f64 (.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64))) (+.f64 (.f64 #s(literal 4 binary64) (.f64 t t)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) t))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 t t))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) t)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t #s(literal -2 binary64)) (-.f64 (.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 t t)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) t))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 t t)) #s(literal 1 binary64)) (-.f64 (*.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) t))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) t)) (.f64 #s(literal 4 binary64) (.f64 t t)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) t)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) t))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t #s(literal -2 binary64)) (-.f64 (.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) t)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (*.f64 t t)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 t t)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 t #s(literal -2 binary64)) (-.f64 (*.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 t t))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) t))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 2 binary64) (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) t))))
(/.f64 #s(literal -2 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) t)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) t)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) t))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (.f64 t (.f64 t t)))) (+.f64 #s(literal 1 binary64) (.f64 t (-.f64 t #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 t t))) (-.f64 #s(literal 1 binary64) t))
(.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64)))
(*.f64 t #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) t)
(.f64 (.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))

simplify290.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

2218×	`-lowering-.f32`
2218×	`-lowering-.f64`
1902×	`fma-lowering-fma.f32`
1902×	`fma-lowering-fma.f64`
1656×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	207	1105
1	642	1024
2	1671	1005
3	4814	997
0	8079	997

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
1
(+ 1 (* -1/4 t))
(+ 1 (* t (- (* -3/8 t) 1/4)))
(+ 1 (* t (- (* t (- (* 3/16 t) 3/8)) 1/4)))
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)) (* 13/81 (/ 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 (* 13/81 (/ 1 t))) t))) t)))
(* -1/4 t)
(* t (- (* -3/8 t) 1/4))
(* t (- (* t (- (* 3/16 t) 3/8)) 1/4))
(* t (- (* t (- (* t (+ 3/16 (* 21/32 t))) 3/8)) 1/4))
-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)) (* 13/81 (/ 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 (* 13/81 (/ 1 t))) t))) t)) 1/6)
(/ -4 t)
(/ (- (* 6 t) 4) t)
(/ (- (* t (+ 6 (* -12 t))) 4) t)
(/ (- (* t (+ 6 (* t (- (* 12 t) 12)))) 4) t)
-6
(- (* 8 (/ 1 t)) 6)
(- (* 8 (/ 1 t)) (+ 6 (/ 12 (pow t 2))))
(- (+ (* 8 (/ 1 t)) (* 12 (/ 1 (pow t 3)))) (+ 6 (/ 12 (pow t 2))))
-6
(- (* 8 (/ 1 t)) 6)
(- (* -1 (/ (- (* 12 (/ 1 t)) 8) t)) 6)
(- (* -1 (/ (- (* -1 (/ (- (* 12 (/ 1 t)) 12) t)) 8) t)) 6)
(/ -4 t)
(/ (- (* 12 t) 4) t)
(/ (- (* t (+ 12 (* -12 t))) 4) t)
(/ (- (* t (+ 12 (* t (- (* 12 t) 12)))) 4) t)
(/ 8 t)
(/ (- 8 (* 12 (/ 1 t))) t)
(/ (- (+ 8 (/ 12 (pow t 2))) (* 12 (/ 1 t))) t)
(/ (- (+ 8 (/ 12 (pow t 2))) (+ (* 12 (/ 1 t)) (* 12 (/ 1 (pow t 3))))) t)
(/ 8 t)
(* -1 (/ (- (* 12 (/ 1 t)) 8) t))
(* -1 (/ (- (* -1 (/ (- (* 12 (/ 1 t)) 12) t)) 8) t))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 12 (/ 1 t)) 12) t)) 12) t)) 8) t))
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)
(/ -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 (* 1/6 t)) t)
(/ (+ 2/9 (* 1/6 t)) t)
(/ (+ 2/9 (* 1/6 t)) t)
1/6
(+ 1/6 (* 2/9 (/ 1 t)))
(+ 1/6 (* 2/9 (/ 1 t)))
(+ 1/6 (* 2/9 (/ 1 t)))
1/6
(+ 1/6 (* 2/9 (/ 1 t)))
(+ 1/6 (* 2/9 (/ 1 t)))
(+ 1/6 (* 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))))
2
(+ 2 (* -2 t))
(+ 2 (* t (- (* 2 t) 2)))
(+ 2 (* t (- (* t (+ 2 (* -2 t))) 2)))
(/ 2 t)
(/ (- 2 (* 2 (/ 1 t))) t)
(/ (- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t))) t)
(/ (- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3))))) t)
(/ 2 t)
(* -1 (/ (- (* 2 (/ 1 t)) 2) t))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2) t))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 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)
(* -2 t)
(* -2 t)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/4 t))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) t))
(+ 1 (* t (- (* -3/8 t) 1/4)))
(+.f64 #s(literal 1 binary64) (.f64 t (+.f64 #s(literal -1/4 binary64) (.f64 t #s(literal -3/8 binary64)))))
(+ 1 (* t (- (* t (- (* 3/16 t) 3/8)) 1/4)))
(+.f64 #s(literal 1 binary64) (.f64 t (+.f64 #s(literal -1/4 binary64) (.f64 t (+.f64 #s(literal -3/8 binary64) (*.f64 t #s(literal 3/16 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)) (* 13/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
(+.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 13/81 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 (/ (- 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 (* 13/81 (/ 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 13/81 binary64) t)) t)) t))
(* -1/4 t)
(*.f64 #s(literal -1/4 binary64) t)
(* t (- (* -3/8 t) 1/4))
(.f64 t (+.f64 #s(literal -1/4 binary64) (.f64 t #s(literal -3/8 binary64))))
(* t (- (* t (- (* 3/16 t) 3/8)) 1/4))
(.f64 t (+.f64 #s(literal -1/4 binary64) (.f64 t (+.f64 #s(literal -3/8 binary64) (*.f64 t #s(literal 3/16 binary64))))))
(* t (- (* t (- (* t (+ 3/16 (* 21/32 t))) 3/8)) 1/4))
(.f64 t (+.f64 #s(literal -1/4 binary64) (.f64 t (+.f64 #s(literal -3/8 binary64) (.f64 t (+.f64 #s(literal 3/16 binary64) (.f64 t #s(literal 21/32 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 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) #s(literal -1/6 binary64))
(- (+ (/ 1/27 (pow t 2)) (* 13/81 (/ 1 (pow t 3)))) (+ 1/6 (* 2/9 (/ 1 t))))
(+.f64 (/.f64 #s(literal 13/81 binary64) (.f64 t (.f64 t t))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) 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 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t) #s(literal -1/6 binary64))
(- (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 13/81 (/ 1 t))) t))) t)) 1/6)
(+.f64 (/.f64 (-.f64 #s(literal -2/9 binary64) (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 13/81 binary64) t)) t)) t) #s(literal -1/6 binary64))
(/ -4 t)
(/.f64 #s(literal -4 binary64) t)
(/ (- (* 6 t) 4) t)
(+.f64 #s(literal 6 binary64) (/.f64 #s(literal -4 binary64) t))
(/ (- (* t (+ 6 (* -12 t))) 4) t)
(+.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 t #s(literal -12 binary64)))) (/.f64 #s(literal -4 binary64) t))
(/ (- (* t (+ 6 (* t (- (* 12 t) 12)))) 4) t)
(+.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (.f64 t (+.f64 #s(literal -12 binary64) (*.f64 t #s(literal 12 binary64)))))) (/.f64 #s(literal -4 binary64) t))
-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 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 12 binary64) t) #s(literal -8 binary64)) t))
(- (+ (* 8 (/ 1 t)) (* 12 (/ 1 (pow t 3)))) (+ 6 (/ 12 (pow t 2))))
(+.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 #s(literal -12 binary64) (/.f64 #s(literal 12 binary64) t)) t)) t) #s(literal -6 binary64))
-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 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 12 binary64) t) #s(literal -8 binary64)) t))
(- (* -1 (/ (- (* -1 (/ (- (* 12 (/ 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 12 binary64) t)) t)) t))
(/ -4 t)
(/.f64 #s(literal -4 binary64) t)
(/ (- (* 12 t) 4) t)
(+.f64 #s(literal 12 binary64) (/.f64 #s(literal -4 binary64) t))
(/ (- (* t (+ 12 (* -12 t))) 4) t)
(+.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 t #s(literal -12 binary64)) #s(literal 12 binary64))) (/.f64 #s(literal -4 binary64) t))
(/ (- (* t (+ 12 (* t (- (* 12 t) 12)))) 4) t)
(+.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 12 binary64) (.f64 t (+.f64 #s(literal -12 binary64) (*.f64 t #s(literal 12 binary64)))))) (/.f64 #s(literal -4 binary64) t))
(/ 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 (/ 12 (pow t 2))) (* 12 (/ 1 t))) t)
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (+.f64 #s(literal -12 binary64) (/.f64 #s(literal 12 binary64) t)) t)) t)
(/ (- (+ 8 (/ 12 (pow t 2))) (+ (* 12 (/ 1 t)) (* 12 (/ 1 (pow t 3))))) t)
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -12 binary64) (/.f64 #s(literal 12 binary64) t)) t) (-.f64 #s(literal 8 binary64) (/.f64 (/.f64 (/.f64 #s(literal 12 binary64) t) 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 (/ (- (* 12 (/ 1 t)) 12) t)) 8) t))
(/.f64 (-.f64 #s(literal 8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -12 binary64) t)) t)) t)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 12 (/ 1 t)) 12) t)) 12) t)) 8) t))
(/.f64 (-.f64 #s(literal 8 binary64) (/.f64 (-.f64 #s(literal 12 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -12 binary64) t)) t)) t)) 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)
(/ -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 (* 1/6 t)) t)
(/.f64 (+.f64 #s(literal 2/9 binary64) (*.f64 t #s(literal 1/6 binary64))) t)
(/ (+ 2/9 (* 1/6 t)) t)
(/.f64 (+.f64 #s(literal 2/9 binary64) (*.f64 t #s(literal 1/6 binary64))) t)
(/ (+ 2/9 (* 1/6 t)) t)
(/.f64 (+.f64 #s(literal 2/9 binary64) (*.f64 t #s(literal 1/6 binary64))) t)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 2/9 (/ 1 t)))
(+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64))
(+ 1/6 (* 2/9 (/ 1 t)))
(+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64))
(+ 1/6 (* 2/9 (/ 1 t)))
(+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 2/9 (/ 1 t)))
(+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64))
(+ 1/6 (* 2/9 (/ 1 t)))
(+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64))
(+ 1/6 (* 2/9 (/ 1 t)))
(+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64))
(/ 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 (*.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 t (.f64 t (*.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) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))
(.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (.f64 t (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 t (*.f64 t t)))))))
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))
(.f64 (.f64 t t) (+.f64 #s(literal 1 binary64) (.f64 t (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 t (*.f64 t t)))))))
(* -2 (pow t 3))
(.f64 t (.f64 t (*.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 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))
(.f64 (.f64 t t) (.f64 t (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 t t))) t))))
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))
(.f64 (.f64 t t) (.f64 t (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 t t))) t))))
(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 t (.f64 t (*.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)))))
(* (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 t (.f64 t (*.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)))))
(* -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))))
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)))
2
#s(literal 2 binary64)
(+ 2 (* -2 t))
(+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -2 binary64)))
(+ 2 (* t (- (* 2 t) 2)))
(+.f64 #s(literal 2 binary64) (.f64 t (+.f64 #s(literal -2 binary64) (.f64 t #s(literal 2 binary64)))))
(+ 2 (* t (- (* t (+ 2 (* -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)))))))
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(/ (- 2 (* 2 (/ 1 t))) t)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)) t)
(/ (- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t))) t)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)) t)) t)
(/ (- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3))))) t)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)) t)) t)) t)
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(* -1 (/ (- (* 2 (/ 1 t)) 2) t))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)) t)
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2) t))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)) t)) t)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2) t)) 2) t))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)) t)) t)) t)
(* -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))

eval94.0ms (1.1%)

Compiler: Compiled 15947 to 2650 computations (83.4% saved)

prune109.0ms (1.3%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	668	2	670
Fresh	1	4	5
Picked	0	5	5
Done	0	1	1
Total	669	12	681

Accuracy

100.0%

Counts

681 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.7%	(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))
	51.7%	(-.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))
▶	51.7%	(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) 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))))))
✓	59.6%	(+.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 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) t))))))
▶	52.5%	(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #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))))))
✓	50.0%	(+.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))
▶	20.0%	#s(literal 1 binary64)
▶	59.2%	#s(literal 5/6 binary64)
✓	58.6%	#s(literal 1/2 binary64)

Compiler

Compiled 162 to 127 computations (21.6% saved)

simplify180.0ms (2.2%)

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

2492×	`sum5-define`
2300×	`sum3-define`
2138×	`sum4-define`
1938×	`fma-define`
1498×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	87
1	43	83
2	118	83
3	317	83
4	678	83
5	896	83
6	968	83
7	990	83
8	1096	83
9	3110	83
10	4604	83
11	6079	83
12	7485	83
0	8194	83

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize109.0ms (1.3%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 t t)
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (+.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 (/.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	99.6%	(/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)
✓	accuracy	99.4%	(/.f64 #s(literal 1/27 binary64) t)
✓	accuracy	100.0%	(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))
✓	accuracy	99.4%	(/.f64 #s(literal 2/9 binary64) t)

Results

85.0ms

256×

valid

Compiler

Compiled 89 to 21 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

...c/correct-round.rkt:119:19: 18.0ms (37.8% of total)

ival-sub: 8.0ms (16.8% of total)

ival-mult: 8.0ms (16.8% of total)

ival-div: 6.0ms (12.6% of total)

ival-add: 6.0ms (12.6% of total)

const: 1.0ms (2.1% of total)

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

series5.0ms (0.1%)

Counts

11 → 132

Calls

Call 1

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

33 calls:

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

rewrite668.0ms (8%)

Algorithm

1×	batch-egg-rewrite

Rules

3984×	`/-lowering-/.f32`
3984×	`/-lowering-/.f64`
3464×	`-lowering-.f32`
3464×	`-lowering-.f64`
2106×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	71
1	140	67
2	1279	67
0	8165	67

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 397

Calls

Call 1

Inputs
(- 5/6 (/ 2/9 t))
(/ 2/9 t)
(+ 5/6 (/ (+ (/ 1/27 t) -2/9) t))
(/ (+ (/ 1/27 t) -2/9) t)
(+ (/ 1/27 t) -2/9)
(/ 1/27 t)
(+ 1/2 (* (* t t) (+ 1 (* t (+ t -2)))))
(* (* t t) (+ 1 (* t (+ t -2))))
(* t t)
(+ 1 (* t (+ 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 125/216 binary64) (+.f64 #s(literal 25/36 binary64) (.f64 (/.f64 #s(literal 2/9 binary64) t) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))))) (neg.f64 (/.f64 (/.f64 #s(literal 8/729 binary64) (.f64 t (.f64 t t))) (+.f64 #s(literal 25/36 binary64) (.f64 (/.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))) (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 125/216 binary64) (+.f64 #s(literal 25/36 binary64) (.f64 (/.f64 #s(literal 2/9 binary64) t) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))))) (/.f64 (/.f64 #s(literal 8/729 binary64) (.f64 t (.f64 t t))) (+.f64 #s(literal 25/36 binary64) (.f64 (/.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))))
(fma.f64 #s(literal 2/9 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 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))
(/.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 #s(literal 25/36 binary64) (-.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 125/216 binary64) (/.f64 #s(literal 8/729 binary64) (.f64 t (.f64 t t))))))
(/.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 #s(literal 2/9 binary64) t) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)))))
(/.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 #s(literal 4/81 binary64) (.f64 t t)) (.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 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)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 125/216 binary64) (/.f64 #s(literal 8/729 binary64) (.f64 t (.f64 t t))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 25/36 binary64) (*.f64 (/.f64 #s(literal 2/9 binary64) t) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 125/216 binary64) (/.f64 #s(literal 8/729 binary64) (.f64 t (.f64 t t))))) (neg.f64 (+.f64 #s(literal 25/36 binary64) (-.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 #s(literal 0 binary64) (-.f64 #s(literal 25/36 binary64) (/.f64 #s(literal 4/81 binary64) (*.f64 t t)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))))
(/.f64 (-.f64 (.f64 #s(literal 125/216 binary64) (+.f64 #s(literal 25/36 binary64) (.f64 (/.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 (/.f64 #s(literal 2/9 binary64) t) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)))) (/.f64 #s(literal 8/729 binary64) (.f64 t (.f64 t t))))) (.f64 (+.f64 #s(literal 25/36 binary64) (.f64 (/.f64 #s(literal 2/9 binary64) t) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)))) (+.f64 #s(literal 25/36 binary64) (*.f64 (/.f64 #s(literal 2/9 binary64) t) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))))))
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(/.f64 (+.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) (.f64 t t))) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 t t) (.f64 t t)) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64))) (.f64 #s(literal 1 binary64) (.f64 t #s(literal -2 binary64)))) (.f64 (.f64 t t) (.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))))
(/.f64 (+.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) (.f64 t t))) (pow.f64 (.f64 (.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 t t) (.f64 t t)) (-.f64 (.f64 (.f64 (.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 t t) (.f64 (*.f64 t #s(literal -2 binary64)) #s(literal 1 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 #s(literal -2 binary64)) (.f64 t #s(literal -2 binary64))) (-.f64 (.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 #s(literal -2 binary64)) (.f64 t #s(literal -2 binary64))) (.f64 (.f64 t t) (.f64 t #s(literal -2 binary64)))))))
(.f64 (-.f64 (.f64 (.f64 t t) (.f64 t t)) (.f64 (.f64 t #s(literal -2 binary64)) (.f64 t #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 t t) (*.f64 t #s(literal -2 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) 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))))

simplify550.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

2016×	`fnmadd-define`
1832×	`fma-lowering-fma.f32`
1832×	`fma-lowering-fma.f64`
1706×	`-lowering-.f32`
1706×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	798
1	217	757
2	607	738
3	1652	694
4	4788	694
0	8326	694

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

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

eval67.0ms (0.8%)

Compiler: Compiled 11776 to 1457 computations (87.6% saved)

prune50.0ms (0.6%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	529	0	529
Fresh	0	1	1
Picked	0	5	5
Done	0	6	6
Total	529	12	541

Accuracy

100.0%

Counts

541 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.7%	(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))
▶	51.7%	(-.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))
✓	51.7%	(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) 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))))))
✓	59.6%	(+.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 #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) t))))))
✓	52.5%	(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #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))))))
✓	50.0%	(+.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))
✓	20.0%	#s(literal 1 binary64)
✓	59.2%	#s(literal 5/6 binary64)
✓	58.6%	#s(literal 1/2 binary64)

Compiler

Compiled 114 to 89 computations (21.9% saved)

simplify139.0ms (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

2022×	`fnmadd-define`
1576×	`fmsub-define`
1558×	`fnmsub-define`
1504×	`fmm-def`
1268×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	53
1	19	53
2	40	53
3	94	53
4	252	53
5	684	53
6	2580	53
0	8062	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 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) 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

localize52.0ms (0.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))
✓	accuracy	99.6%	(/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)) t)
✓	accuracy	99.5%	(/.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

37.0ms

256×

valid

Compiler

Compiled 55 to 12 computations (78.2% saved)

Precisions

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

...c/correct-round.rkt:119:19: 14.0ms (59.8% of total)

ival-div: 5.0ms (21.4% of total)

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

ival-add: 1.0ms (4.3% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

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 (/ (+ 4/81 (* 1/27 t)) (pow t 2))>
#<alt (/ (+ 4/81 (* 1/27 t)) (pow t 2))>
#<alt (/ (+ 4/81 (* 1/27 t)) (pow t 2))>
#<alt (/ 1/27 t)>
#<alt (/ (+ 1/27 (* 4/81 (/ 1 t))) t)>
#<alt (/ (+ 1/27 (* 4/81 (/ 1 t))) t)>
#<alt (/ (+ 1/27 (* 4/81 (/ 1 t))) t)>
#<alt (/ 1/27 t)>
#<alt (/ (+ 1/27 (* 4/81 (/ 1 t))) t)>
#<alt (/ (+ 1/27 (* 4/81 (/ 1 t))) t)>
#<alt (/ (+ 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 (/ (+ 4/81 (* 1/27 t)) t)>
#<alt (/ (+ 4/81 (* 1/27 t)) t)>
#<alt (/ (+ 4/81 (* 1/27 t)) t)>
#<alt 1/27>
#<alt (+ 1/27 (* 4/81 (/ 1 t)))>
#<alt (+ 1/27 (* 4/81 (/ 1 t)))>
#<alt (+ 1/27 (* 4/81 (/ 1 t)))>
#<alt 1/27>
#<alt (+ 1/27 (* 4/81 (/ 1 t)))>
#<alt (+ 1/27 (* 4/81 (/ 1 t)))>
#<alt (+ 1/27 (* 4/81 (/ 1 t)))>

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	t	@	0	(/ (+ 1/27 (/ 4/81 t)) t)
0.0ms	t	@	0	(/ (- 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	@	-inf	(/ (- 2/9 (/ (+ 1/27 (/ 4/81 t)) t)) t)
0.0ms	t	@	0	(/ 4/81 t)

rewrite289.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4720×	`-lowering-.f32`
4720×	`-lowering-.f64`
4294×	`/-lowering-/.f32`
4294×	`/-lowering-/.f64`
1606×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	80	48
2	747	48
0	8739	48

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 347

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 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t))
(+.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) 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 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) t))))) (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) (/.f64 (/.f64 t (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t))) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) t))) (+.f64 #s(literal 25/36 binary64) (.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) t)))))))
(+.f64 (/.f64 #s(literal 25/36 binary64) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) t))) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) (/.f64 (*.f64 t t) (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) t)))))
(+.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) (*.f64 t t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) t))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) #s(literal 5/6 binary64)))
(-.f64 (/.f64 #s(literal 125/216 binary64) (+.f64 #s(literal 25/36 binary64) (.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) t))))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) (/.f64 (/.f64 t (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t))) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) t))) (+.f64 #s(literal 25/36 binary64) (.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) t))))))
(-.f64 (/.f64 #s(literal 25/36 binary64) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) t))) (/.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) (/.f64 (*.f64 t t) (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)))) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) t))))
(-.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t)) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) (*.f64 t t)))
(fma.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) (/.f64 #s(literal -1 binary64) t) #s(literal 5/6 binary64))
(fma.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) 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 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) 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 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) (/.f64 (.f64 t t) (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 25/36 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) t)))))))
(neg.f64 (/.f64 (+.f64 #s(literal 25/36 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) (/.f64 (*.f64 t t) (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64))))) (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) 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 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) (/.f64 (/.f64 t (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t))) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) t)))) (+.f64 #s(literal 25/36 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) t) (+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4/81 binary64) t) #s(literal -1/27 binary64)) t)) t))))))
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(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 #s(literal 64/531441 binary64) (.f64 t (.f64 t t)))) #s(literal -1/19683 binary64))) (neg.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/6561 binary64) t) #s(literal 4/2187 binary64)) t)) #s(literal -1/729 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/729 binary64) (/.f64 #s(literal 16/6561 binary64) (*.f64 t t)))) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)))
(/.f64 (neg.f64 (+.f64 #s(literal -1/729 binary64) (/.f64 #s(literal 16/6561 binary64) (*.f64 t t)))) (neg.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 16/6561 binary64) (*.f64 t t)) #s(literal -1/729 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -4/81 binary64) t))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 16/6561 binary64) (.f64 t t)) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -4/81 binary64) t))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -4/81 binary64) t))) (/.f64 #s(literal 1/729 binary64) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)))) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 16/6561 binary64) (.f64 t t)) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -4/81 binary64) t))) (/.f64 (/.f64 #s(literal 16/6561 binary64) (.f64 t t)) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)))) (.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -4/81 binary64) t))) (/.f64 (/.f64 #s(literal 16/6561 binary64) (*.f64 t t)) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -4/81 binary64) t))) (/.f64 #s(literal 1/729 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)) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -4/81 binary64) t))) (/.f64 (/.f64 #s(literal 16/6561 binary64) (.f64 t t)) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -4/81 binary64) t))))) (+.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -4/81 binary64) t))) (/.f64 (/.f64 #s(literal 16/6561 binary64) (*.f64 t t)) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)))))
(/.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 1/729 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 1/19683 binary64) (/.f64 #s(literal 64/531441 binary64) (.f64 t (.f64 t t))))) (+.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 binary64) (-.f64 #s(literal 1/729 binary64) (/.f64 #s(literal 16/6561 binary64) (.f64 t t)))) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 64/531441 binary64) (.f64 t (*.f64 t t)))) #s(literal -1/19683 binary64))) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/6561 binary64) t) #s(literal 4/2187 binary64)) t)) #s(literal -1/729 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/729 binary64) (/.f64 #s(literal 16/6561 binary64) (.f64 t t)))) (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16/6561 binary64) (.f64 t t)) #s(literal -1/729 binary64))) (+.f64 (/.f64 #s(literal 4/81 binary64) t) #s(literal -1/27 binary64)))
(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 (neg.f64 (/.f64 #s(literal 64/531441 binary64) (.f64 t (*.f64 t t)))) #s(literal -1/19683 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/6561 binary64) t) #s(literal 4/2187 binary64)) t)) #s(literal -1/729 binary64))))
(.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))))

simplify168.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2104×	`fnmadd-define`
1824×	`-lowering-.f32`
1824×	`-lowering-.f64`
1816×	`fma-lowering-fma.f32`
1816×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	473
1	200	454
2	518	451
3	1225	437
4	3314	437
0	8246	437

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))
(/ (+ 4/81 (* 1/27 t)) (pow t 2))
(/ (+ 4/81 (* 1/27 t)) (pow t 2))
(/ (+ 4/81 (* 1/27 t)) (pow t 2))
(/ 1/27 t)
(/ (+ 1/27 (* 4/81 (/ 1 t))) t)
(/ (+ 1/27 (* 4/81 (/ 1 t))) t)
(/ (+ 1/27 (* 4/81 (/ 1 t))) t)
(/ 1/27 t)
(/ (+ 1/27 (* 4/81 (/ 1 t))) t)
(/ (+ 1/27 (* 4/81 (/ 1 t))) t)
(/ (+ 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)
(/ (+ 4/81 (* 1/27 t)) t)
(/ (+ 4/81 (* 1/27 t)) t)
(/ (+ 4/81 (* 1/27 t)) t)
1/27
(+ 1/27 (* 4/81 (/ 1 t)))
(+ 1/27 (* 4/81 (/ 1 t)))
(+ 1/27 (* 4/81 (/ 1 t)))
1/27
(+ 1/27 (* 4/81 (/ 1 t)))
(+ 1/27 (* 4/81 (/ 1 t)))
(+ 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 4/81 binary64) (.f64 t #s(literal 1/27 binary64))) (.f64 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 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) (*.f64 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))
(/ (+ 4/81 (* 1/27 t)) (pow t 2))
(/.f64 (+.f64 #s(literal 4/81 binary64) (.f64 t #s(literal 1/27 binary64))) (.f64 t t))
(/ (+ 4/81 (* 1/27 t)) (pow t 2))
(/.f64 (+.f64 #s(literal 4/81 binary64) (.f64 t #s(literal 1/27 binary64))) (.f64 t t))
(/ (+ 4/81 (* 1/27 t)) (pow t 2))
(/.f64 (+.f64 #s(literal 4/81 binary64) (.f64 t #s(literal 1/27 binary64))) (.f64 t t))
(/ 1/27 t)
(/.f64 #s(literal 1/27 binary64) t)
(/ (+ 1/27 (* 4/81 (/ 1 t))) t)
(/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)
(/ (+ 1/27 (* 4/81 (/ 1 t))) t)
(/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)
(/ (+ 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)
(/ (+ 1/27 (* 4/81 (/ 1 t))) t)
(/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)
(/ (+ 1/27 (* 4/81 (/ 1 t))) t)
(/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t)
(/ (+ 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)
(/ (+ 4/81 (* 1/27 t)) t)
(/.f64 (+.f64 #s(literal 4/81 binary64) (*.f64 t #s(literal 1/27 binary64))) t)
(/ (+ 4/81 (* 1/27 t)) t)
(/.f64 (+.f64 #s(literal 4/81 binary64) (*.f64 t #s(literal 1/27 binary64))) t)
(/ (+ 4/81 (* 1/27 t)) t)
(/.f64 (+.f64 #s(literal 4/81 binary64) (*.f64 t #s(literal 1/27 binary64))) t)
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 4/81 (/ 1 t)))
(+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))
(+ 1/27 (* 4/81 (/ 1 t)))
(+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))
(+ 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)
(+ 1/27 (* 4/81 (/ 1 t)))
(+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))
(+ 1/27 (* 4/81 (/ 1 t)))
(+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))
(+ 1/27 (* 4/81 (/ 1 t)))
(+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))

eval51.0ms (0.6%)

Compiler: Compiled 13137 to 1588 computations (87.9% saved)

prune49.0ms (0.6%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	418	1	419
Fresh	0	0	0
Picked	0	1	1
Done	1	10	11
Total	419	12	431

Accuracy

100.0%

Counts

431 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.7%	(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))
	51.3%	(-.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 #s(literal 2/9 binary64) (/.f64 (/.f64 #s(literal 4/81 binary64) t) t)) t))
✓	51.7%	(-.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))
✓	51.7%	(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) 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))))))
✓	52.5%	(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #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))))))
✓	50.0%	(+.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))
✓	20.0%	#s(literal 1 binary64)
✓	59.2%	#s(literal 5/6 binary64)
✓	58.6%	#s(literal 1/2 binary64)

Compiler

Compiled 256 to 154 computations (39.8% saved)

regimes31.0ms (0.4%)

Counts

15 → 1

Calls

Call 1

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

Calls

7 calls:

5.0ms	(/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))
5.0ms	(/.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)))))))
5.0ms	t
4.0ms	(-.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 #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))))))

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

14 → 1

Calls

Call 1

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

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

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`t`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

13 → 3

Calls

Call 1

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

5.0ms

Results

Accuracy	Segments	Branch
99.4%	3	`t`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

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

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 (*.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:

4.0ms

Results

Accuracy	Segments	Branch
99.3%	3	`t`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

10 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
#s(literal 1 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 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))
(+.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 #s(literal 2/9 binary64) (/.f64 (/.f64 #s(literal 4/81 binary64) t) t)) 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
99.2%	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)
#s(literal 1 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 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))
(+.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:

3.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`t`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.9%	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)
#s(literal 1 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 5/6 binary64) (/.f64 #s(literal 2/9 binary64) 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
98.9%	3	`t`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
#s(literal 1 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
98.3%	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)
#s(literal 1 binary64)

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.1%	3	`t`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (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:

1.0ms

Results

Accuracy	Segments	Branch
58.6%	1	`t`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch40.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.0008103264319998099	1322.4736104970814
18.0ms	-1.2977297312995524	-4.286343371575057e-10

Results

26.0ms

288×

valid

Compiler

Compiled 574 to 429 computations (25.3% saved)

Precisions

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

ival-div: 9.0ms (48.7% of total)

ival-sub: 5.0ms (27.1% of total)

ival-add: 3.0ms (16.2% of total)

ival-mult: 2.0ms (10.8% of total)

const: 1.0ms (5.4% of total)

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

bsearch39.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.0008103264319998099	1322.4736104970814
18.0ms	-1.2977297312995524	-4.286343371575057e-10

Results

24.0ms

288×

valid

Compiler

Compiled 502 to 375 computations (25.3% saved)

Precisions

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

ival-div: 9.0ms (54% of total)

ival-sub: 3.0ms (18% of total)

ival-add: 3.0ms (18% of total)

ival-mult: 2.0ms (12% of total)

const: 1.0ms (6% of total)

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

bsearch42.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	0.0008103264319998099	1322.4736104970814
18.0ms	-1.2977297312995524	-4.286343371575057e-10

Results

29.0ms

288×

valid

Compiler

Compiled 466 to 357 computations (23.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 9.0ms (41.9% of total)

ival-add: 7.0ms (32.6% of total)

ival-sub: 3.0ms (14% of total)

ival-mult: 2.0ms (9.3% of total)

const: 1.0ms (4.7% of total)

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

bsearch39.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.0008103264319998099	1322.4736104970814
18.0ms	-1.2977297312995524	-4.286343371575057e-10

Results

25.0ms

288×

valid

Compiler

Compiled 358 to 267 computations (25.4% saved)

Precisions

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

ival-div: 9.0ms (50.9% of total)

ival-add: 4.0ms (22.6% of total)

ival-sub: 3.0ms (17% of total)

ival-mult: 2.0ms (11.3% of total)

const: 0.0ms (0% of total)

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

bsearch39.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.0008103264319998099	1322.4736104970814
18.0ms	-1.2977297312995524	-4.286343371575057e-10

Results

24.0ms

288×

valid

Compiler

Compiled 304 to 231 computations (24% saved)

Precisions

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

ival-div: 8.0ms (50.3% of total)

ival-sub: 3.0ms (18.8% of total)

ival-add: 3.0ms (18.8% of total)

ival-mult: 2.0ms (12.6% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.0008103264319998099	1322.4736104970814
18.0ms	-1.2977297312995524	-4.286343371575057e-10

Results

23.0ms

288×

valid

Compiler

Compiled 286 to 213 computations (25.5% saved)

Precisions

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

ival-div: 8.0ms (50.9% of total)

ival-sub: 3.0ms (19.1% of total)

ival-add: 3.0ms (19.1% of total)

ival-mult: 2.0ms (12.7% of total)

const: 0.0ms (0% of total)

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

bsearch39.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.0008103264319998099	1322.4736104970814
18.0ms	-1.2977297312995524	-4.286343371575057e-10

Results

24.0ms

288×

valid

Compiler

Compiled 214 to 159 computations (25.7% saved)

Precisions

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

ival-div: 8.0ms (47.1% of total)

ival-add: 4.0ms (23.5% of total)

ival-sub: 3.0ms (17.7% of total)

ival-mult: 2.0ms (11.8% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.0008103264319998099	1322.4736104970814
18.0ms	-1.2977297312995524	-4.286343371575057e-10

Results

24.0ms

288×

valid

Compiler

Compiled 142 to 123 computations (13.4% saved)

Precisions

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

ival-div: 8.0ms (51% of total)

ival-sub: 3.0ms (19.1% of total)

ival-add: 3.0ms (19.1% of total)

ival-mult: 2.0ms (12.7% of total)

const: 0.0ms (0% of total)

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

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

336×	`unsub-neg_binary64`
254×	`distribute-lft-neg-in_binary64`
210×	`neg-mul-1_binary64`
158×	`neg-sub0_binary64`
144×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	237
1	155	237
2	191	237
3	240	237
4	311	237
5	374	237
6	491	237
7	713	237
8	928	237
9	1049	237
10	1133	237
11	1179	237
12	1187	237
13	1188	237

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.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))))))))
(+.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 -1080863910568919/2251799813685248 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 3332663724254167/4503599627370496 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 5/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) t) #s(literal -2/9 binary64)) t)) (if (<=.f64 t #s(literal 5224175567749775/9007199254740992 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 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 1080863910568919/4503599627370496 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 5224175567749775/9007199254740992 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))))
(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 5224175567749775/9007199254740992 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 5224175567749775/9007199254740992 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 5/6 binary64)))
(if (<=.f64 t #s(literal -6124895493223875/18014398509481984 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 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))))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.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 (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) #s(literal 2 binary64))))
(+.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 -1080863910568919/2251799813685248 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 3332663724254167/4503599627370496 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 -1080863910568919/2251799813685248 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal 2/9 binary64)) t)) (if (<=.f64 t #s(literal 3332663724254167/4503599627370496 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 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal 2/9 binary64)) t))))
(if (<=.f64 t #s(literal -5224175567749775/9007199254740992 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 5224175567749775/9007199254740992 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 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 1080863910568919/4503599627370496 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 5224175567749775/9007199254740992 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2/9 binary64) t) #s(literal 1/6 binary64)))))
(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 5224175567749775/9007199254740992 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 5224175567749775/9007199254740992 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 5/6 binary64)))
(if (<=.f64 t #s(literal -6124895493223875/18014398509481984 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)

soundness833.0ms (10%)

Rules

2856×	`fma-lowering-fma.f32`
2856×	`fma-lowering-fma.f64`
2062×	`sum3-define`
1970×	`fmsub-define`
1910×	`fmm-def`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	24	25
2	54	25
3	155	19
4	621	19
5	2833	18
0	8218	18
0	236	1224
1	760	1081
2	2051	1045
3	5380	1044
0	8636	1044

Stop Event

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

Compiler

Compiled 414 to 204 computations (50.7% saved)

preprocess63.0ms (0.8%)

Compiler: Compiled 616 to 222 computations (64% saved)

analyze284.0ms (3.4%)

sample1.2s (14.4%)

preprocess246.0ms (2.9%)

explain235.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify201.0ms (2.4%)

localize175.0ms (2.1%)

series6.0ms (0.1%)

rewrite491.0ms (5.9%)

simplify270.0ms (3.2%)

eval109.0ms (1.3%)

prune85.0ms (1%)

simplify223.0ms (2.7%)

localize139.0ms (1.7%)

series8.0ms (0.1%)

rewrite477.0ms (5.7%)

simplify290.0ms (3.5%)

eval94.0ms (1.1%)

prune109.0ms (1.3%)

simplify180.0ms (2.2%)

localize109.0ms (1.3%)

series5.0ms (0.1%)

rewrite668.0ms (8%)

simplify550.0ms (6.6%)

eval67.0ms (0.8%)

prune50.0ms (0.6%)

simplify139.0ms (1.7%)

localize52.0ms (0.6%)

series5.0ms (0.1%)

rewrite289.0ms (3.5%)

simplify168.0ms (2%)

eval51.0ms (0.6%)

prune49.0ms (0.6%)

regimes31.0ms (0.4%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch40.0ms (0.5%)

bsearch39.0ms (0.5%)

bsearch42.0ms (0.5%)

bsearch39.0ms (0.5%)

bsearch39.0ms (0.5%)

bsearch38.0ms (0.5%)

bsearch39.0ms (0.5%)

bsearch38.0ms (0.5%)

simplify48.0ms (0.6%)

soundness833.0ms (10%)

preprocess63.0ms (0.8%)

end0.0ms (0%)

Profiling