Metrics for fma

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze4.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
50%	0%	0%	100%	0%	0%	0%	3
75%	0%	0%	100%	0%	0%	0%	4
87.5%	0%	0%	100%	0%	0%	0%	5
93.7%	0%	0%	100%	0%	0%	0%	6
96.9%	0%	0%	100%	0%	0%	0%	7
98.4%	0%	0%	100%	0%	0%	0%	8
99.2%	0%	0%	100%	0%	0%	0%	9
99.6%	0%	0%	100%	0%	0%	0%	10
99.8%	0%	0%	100%	0%	0%	0%	11
99.9%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 27 to 17 computations (37% saved)

sample3.1s (42.2%)

Memory

29.1MiB live, 3 399.0MiB allocated

Samples

2.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 2.0s

const: 914.0ms (46.1% of total)

ival-mult: 491.0ms (24.7% of total)

adjust: 220.0ms (11.1% of total)

ival-add: 206.0ms (10.4% of total)

ival-sub: 80.0ms (4% of total)

ival-<=: 49.0ms (2.5% of total)

ival-and: 11.0ms (0.6% of total)

exact: 10.0ms (0.5% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain427.0ms (5.7%)

Memory

14.2MiB live, 287.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	`(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))))`
0	-	-	`t`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))`
0	-	-	`(-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))`
0	-	-	`(.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64))))`
0	-	-	`(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`#s(literal 1/5000000000000000 binary64)`
0	-	-	`#s(literal -1 binary64)`
0	-	-	`(*.f64 t #s(literal 1/5000000000000000 binary64))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))))`	cancellation	256	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	256	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

88.0ms

512×

valid

Compiler

Compiled 133 to 37 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 17.0ms (27.4% of total)

const: 17.0ms (27.4% of total)

adjust: 12.0ms (19.4% of total)

ival-add: 10.0ms (16.1% of total)

ival-sub: 5.0ms (8.1% of total)

exact: 1.0ms (1.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

preprocess321.0ms (4.3%)

Memory

-13.9MiB live, 220.6MiB allocated

Algorithm

1×	egg-herbie

Rules

17 956×	`lower-fma.f64`
17 956×	`lower-fma.f32`
2 676×	`lower-+.f32`
2 672×	`lower-+.f64`
2 440×	`lower-*.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	44	37
2	177	31
3	650	26
4	2456	22
5	3825	10
6	4735	10
7	5054	10
8	5218	10
9	5359	10
10	5477	10
11	6706	10
12	7541	10
13	7918	10
0	11	19
0	17	19
1	39	17
2	113	15
3	289	13
4	893	5
5	2556	5
6	4400	5
7	5874	5
8	6775	5
9	7423	5
10	7629	5
11	7660	5
12	7671	5
13	7903	5
0	8006	5

Stop Event

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

Calls

Call 1

Inputs

(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))))

Outputs

(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))))

(*.f64 (*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t) t)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.4%	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))))

Status

Accuracy

Program

▶

3.4%

(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify211.0ms (2.8%)

Memory

3.0MiB live, 158.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))
cost-diff	320	(.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))
cost-diff	320	(.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64))))
cost-diff	704	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))))

Rules

17 956×	`lower-fma.f64`
17 956×	`lower-fma.f32`
2 676×	`lower-+.f32`
2 672×	`lower-+.f64`
2 440×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	55
0	17	55
1	39	49
2	113	47
3	289	45
4	893	35
5	2556	35
6	4400	35
7	5874	35
8	6775	35
9	7423	35
10	7629	35
11	7660	35
12	7671	35
13	7903	35
0	8006	31

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))
#s(literal 1 binary64)
(*.f64 t #s(literal 1/5000000000000000 binary64))
t
#s(literal 1/5000000000000000 binary64)
(-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))
#s(literal -1 binary64)
(.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))
#s(literal 2 binary64)

Outputs
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))))
(.f64 (.f64 #s(literal 1/25000000000000000000000000000000 binary64) t) t)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64))))
(fma.f64 (fma.f64 #s(literal 1/25000000000000000000000000000000 binary64) t #s(literal 1/2500000000000000 binary64)) t #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))
(fma.f64 #s(literal 1/5000000000000000 binary64) t #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 t #s(literal 1/5000000000000000 binary64))
(*.f64 #s(literal 1/5000000000000000 binary64) t)
t
#s(literal 1/5000000000000000 binary64)
(-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))
(fma.f64 #s(literal -1/2500000000000000 binary64) t #s(literal -1 binary64))
#s(literal -1 binary64)
(.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))
(*.f64 #s(literal 1/2500000000000000 binary64) t)
#s(literal 2 binary64)

localize65.0ms (0.9%)

Memory

-17.6MiB live, 106.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64))))
accuracy	0	(.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))
accuracy	0.125	(*.f64 t #s(literal 1/5000000000000000 binary64))
accuracy	61.84324270218797	(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))))

Samples

49.0ms

256×

valid

Compiler

Compiled 57 to 13 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 9.0ms (29.9% of total)

const: 9.0ms (29.9% of total)

adjust: 6.0ms (19.9% of total)

ival-add: 4.0ms (13.3% of total)

ival-sub: 2.0ms (6.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) (patch (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (patch (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())
#s(alt (.f64 t #s(literal 1/5000000000000000 binary64)) (patch (.f64 t #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) (patch (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) (patch (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) (patch (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) (patch (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 t) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (patch (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2500000000000000 t)) (taylor 0 t) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (patch (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* t (+ 1/2500000000000000 (* 1/25000000000000000000000000000000 t)))) (taylor 0 t) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (patch (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* t (+ 1/2500000000000000 (* 1/25000000000000000000000000000000 t)))) (taylor 0 t) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (patch (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2500000000000000 t) (taylor 0 t) (#s(alt (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2500000000000000 t) (taylor 0 t) (#s(alt (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2500000000000000 t) (taylor 0 t) (#s(alt (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2500000000000000 t) (taylor 0 t) (#s(alt (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 t) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/5000000000000000 t)) (taylor 0 t) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/5000000000000000 t)) (taylor 0 t) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/5000000000000000 t)) (taylor 0 t) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor 0 t) (#s(alt (.f64 t #s(literal 1/5000000000000000 binary64)) (patch (.f64 t #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor 0 t) (#s(alt (.f64 t #s(literal 1/5000000000000000 binary64)) (patch (.f64 t #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor 0 t) (#s(alt (.f64 t #s(literal 1/5000000000000000 binary64)) (patch (.f64 t #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor 0 t) (#s(alt (.f64 t #s(literal 1/5000000000000000 binary64)) (patch (.f64 t #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) (patch (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) (patch (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) (patch (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) (patch (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (patch (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow t 2) (+ 1/25000000000000000000000000000000 (* 1/2500000000000000 (/ 1 t)))) (taylor inf t) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (patch (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow t 2) (+ 1/25000000000000000000000000000000 (+ (* 1/2500000000000000 (/ 1 t)) (/ 1 (pow t 2))))) (taylor inf t) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (patch (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow t 2) (+ 1/25000000000000000000000000000000 (+ (* 1/2500000000000000 (/ 1 t)) (/ 1 (pow t 2))))) (taylor inf t) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (patch (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2500000000000000 t) (taylor inf t) (#s(alt (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2500000000000000 t) (taylor inf t) (#s(alt (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2500000000000000 t) (taylor inf t) (#s(alt (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2500000000000000 t) (taylor inf t) (#s(alt (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor inf t) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1/5000000000000000 (/ 1 t))) (taylor inf t) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1/5000000000000000 (/ 1 t))) (taylor inf t) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1/5000000000000000 (/ 1 t))) (taylor inf t) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor inf t) (#s(alt (.f64 t #s(literal 1/5000000000000000 binary64)) (patch (.f64 t #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor inf t) (#s(alt (.f64 t #s(literal 1/5000000000000000 binary64)) (patch (.f64 t #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor inf t) (#s(alt (.f64 t #s(literal 1/5000000000000000 binary64)) (patch (.f64 t #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor inf t) (#s(alt (.f64 t #s(literal 1/5000000000000000 binary64)) (patch (.f64 t #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) (patch (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) (patch (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) (patch (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) (patch (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (patch (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow t 2) (+ 1/25000000000000000000000000000000 (* 1/2500000000000000 (/ 1 t)))) (taylor -inf t) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (patch (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow t 2) (+ 1/25000000000000000000000000000000 (+ (* 1/2500000000000000 (/ 1 t)) (/ 1 (pow t 2))))) (taylor -inf t) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (patch (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow t 2) (+ 1/25000000000000000000000000000000 (+ (* 1/2500000000000000 (/ 1 t)) (/ 1 (pow t 2))))) (taylor -inf t) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (patch (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2500000000000000 t) (taylor -inf t) (#s(alt (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2500000000000000 t) (taylor -inf t) (#s(alt (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2500000000000000 t) (taylor -inf t) (#s(alt (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2500000000000000 t) (taylor -inf t) (#s(alt (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor -inf t) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1/5000000000000000 (/ 1 t))) (taylor -inf t) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1/5000000000000000 (/ 1 t))) (taylor -inf t) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1/5000000000000000 (/ 1 t))) (taylor -inf t) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (patch (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor -inf t) (#s(alt (.f64 t #s(literal 1/5000000000000000 binary64)) (patch (.f64 t #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor -inf t) (#s(alt (.f64 t #s(literal 1/5000000000000000 binary64)) (patch (.f64 t #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor -inf t) (#s(alt (.f64 t #s(literal 1/5000000000000000 binary64)) (patch (.f64 t #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor -inf t) (#s(alt (.f64 t #s(literal 1/5000000000000000 binary64)) (patch (.f64 t #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	t	@	-inf	((+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (* 2 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000)) (* t 1/5000000000000000))
2.0ms	t	@	inf	((+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (* 2 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000)) (* t 1/5000000000000000))
1.0ms	t	@	0	((+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (* 2 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000)) (* t 1/5000000000000000))

Time

Variable

Point

Expression

2.0ms

-inf

((+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (* 2 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000)) (* t 1/5000000000000000))

2.0ms

inf

((+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (* 2 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000)) (* t 1/5000000000000000))

1.0ms

((+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (* 2 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000)) (* t 1/5000000000000000))

simplify245.0ms (3.3%)

Memory

4.2MiB live, 274.8MiB allocated

Algorithm

1×	egg-herbie

Rules

21 702×	`lower-fma.f64`
21 702×	`lower-fma.f32`
5 148×	`lower-*.f64`
5 148×	`lower-*.f32`
4 696×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	272
1	69	272
2	133	268
3	227	268
4	565	268
5	1834	268
6	2431	268
7	3080	268
8	4060	268
9	5037	268
10	5970	268
11	6324	268
12	6597	268
13	6781	268
0	8888	244

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
1
(+ 1 (* 1/2500000000000000 t))
(+ 1 (* t (+ 1/2500000000000000 (* 1/25000000000000000000000000000000 t))))
(+ 1 (* t (+ 1/2500000000000000 (* 1/25000000000000000000000000000000 t))))
(* 1/2500000000000000 t)
(* 1/2500000000000000 t)
(* 1/2500000000000000 t)
(* 1/2500000000000000 t)
1
(+ 1 (* 1/5000000000000000 t))
(+ 1 (* 1/5000000000000000 t))
(+ 1 (* 1/5000000000000000 t))
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* (pow t 2) (+ 1/25000000000000000000000000000000 (* 1/2500000000000000 (/ 1 t))))
(* (pow t 2) (+ 1/25000000000000000000000000000000 (+ (* 1/2500000000000000 (/ 1 t)) (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1/25000000000000000000000000000000 (+ (* 1/2500000000000000 (/ 1 t)) (/ 1 (pow t 2)))))
(* 1/2500000000000000 t)
(* 1/2500000000000000 t)
(* 1/2500000000000000 t)
(* 1/2500000000000000 t)
(* 1/5000000000000000 t)
(* t (+ 1/5000000000000000 (/ 1 t)))
(* t (+ 1/5000000000000000 (/ 1 t)))
(* t (+ 1/5000000000000000 (/ 1 t)))
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* (pow t 2) (+ 1/25000000000000000000000000000000 (* 1/2500000000000000 (/ 1 t))))
(* (pow t 2) (+ 1/25000000000000000000000000000000 (+ (* 1/2500000000000000 (/ 1 t)) (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1/25000000000000000000000000000000 (+ (* 1/2500000000000000 (/ 1 t)) (/ 1 (pow t 2)))))
(* 1/2500000000000000 t)
(* 1/2500000000000000 t)
(* 1/2500000000000000 t)
(* 1/2500000000000000 t)
(* 1/5000000000000000 t)
(* t (+ 1/5000000000000000 (/ 1 t)))
(* t (+ 1/5000000000000000 (/ 1 t)))
(* t (+ 1/5000000000000000 (/ 1 t)))
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)

Outputs
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2500000000000000 t))
(fma.f64 #s(literal 1/2500000000000000 binary64) t #s(literal 1 binary64))
(+ 1 (* t (+ 1/2500000000000000 (* 1/25000000000000000000000000000000 t))))
(fma.f64 (fma.f64 t #s(literal 1/25000000000000000000000000000000 binary64) #s(literal 1/2500000000000000 binary64)) t #s(literal 1 binary64))
(+ 1 (* t (+ 1/2500000000000000 (* 1/25000000000000000000000000000000 t))))
(fma.f64 (fma.f64 t #s(literal 1/25000000000000000000000000000000 binary64) #s(literal 1/2500000000000000 binary64)) t #s(literal 1 binary64))
(* 1/2500000000000000 t)
(*.f64 #s(literal 1/2500000000000000 binary64) t)
(* 1/2500000000000000 t)
(*.f64 #s(literal 1/2500000000000000 binary64) t)
(* 1/2500000000000000 t)
(*.f64 #s(literal 1/2500000000000000 binary64) t)
(* 1/2500000000000000 t)
(*.f64 #s(literal 1/2500000000000000 binary64) t)
1
#s(literal 1 binary64)
(+ 1 (* 1/5000000000000000 t))
(fma.f64 #s(literal 1/5000000000000000 binary64) t #s(literal 1 binary64))
(+ 1 (* 1/5000000000000000 t))
(fma.f64 #s(literal 1/5000000000000000 binary64) t #s(literal 1 binary64))
(+ 1 (* 1/5000000000000000 t))
(fma.f64 #s(literal 1/5000000000000000 binary64) t #s(literal 1 binary64))
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* (pow t 2) (+ 1/25000000000000000000000000000000 (* 1/2500000000000000 (/ 1 t))))
(*.f64 (fma.f64 t #s(literal 1/25000000000000000000000000000000 binary64) #s(literal 1/2500000000000000 binary64)) t)
(* (pow t 2) (+ 1/25000000000000000000000000000000 (+ (* 1/2500000000000000 (/ 1 t)) (/ 1 (pow t 2)))))
(fma.f64 (fma.f64 t #s(literal 1/25000000000000000000000000000000 binary64) #s(literal 1/2500000000000000 binary64)) t #s(literal 1 binary64))
(* (pow t 2) (+ 1/25000000000000000000000000000000 (+ (* 1/2500000000000000 (/ 1 t)) (/ 1 (pow t 2)))))
(fma.f64 (fma.f64 t #s(literal 1/25000000000000000000000000000000 binary64) #s(literal 1/2500000000000000 binary64)) t #s(literal 1 binary64))
(* 1/2500000000000000 t)
(*.f64 #s(literal 1/2500000000000000 binary64) t)
(* 1/2500000000000000 t)
(*.f64 #s(literal 1/2500000000000000 binary64) t)
(* 1/2500000000000000 t)
(*.f64 #s(literal 1/2500000000000000 binary64) t)
(* 1/2500000000000000 t)
(*.f64 #s(literal 1/2500000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* t (+ 1/5000000000000000 (/ 1 t)))
(fma.f64 #s(literal 1/5000000000000000 binary64) t #s(literal 1 binary64))
(* t (+ 1/5000000000000000 (/ 1 t)))
(fma.f64 #s(literal 1/5000000000000000 binary64) t #s(literal 1 binary64))
(* t (+ 1/5000000000000000 (/ 1 t)))
(fma.f64 #s(literal 1/5000000000000000 binary64) t #s(literal 1 binary64))
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* (pow t 2) (+ 1/25000000000000000000000000000000 (* 1/2500000000000000 (/ 1 t))))
(*.f64 (fma.f64 t #s(literal 1/25000000000000000000000000000000 binary64) #s(literal 1/2500000000000000 binary64)) t)
(* (pow t 2) (+ 1/25000000000000000000000000000000 (+ (* 1/2500000000000000 (/ 1 t)) (/ 1 (pow t 2)))))
(fma.f64 (fma.f64 t #s(literal 1/25000000000000000000000000000000 binary64) #s(literal 1/2500000000000000 binary64)) t #s(literal 1 binary64))
(* (pow t 2) (+ 1/25000000000000000000000000000000 (+ (* 1/2500000000000000 (/ 1 t)) (/ 1 (pow t 2)))))
(fma.f64 (fma.f64 t #s(literal 1/25000000000000000000000000000000 binary64) #s(literal 1/2500000000000000 binary64)) t #s(literal 1 binary64))
(* 1/2500000000000000 t)
(*.f64 #s(literal 1/2500000000000000 binary64) t)
(* 1/2500000000000000 t)
(*.f64 #s(literal 1/2500000000000000 binary64) t)
(* 1/2500000000000000 t)
(*.f64 #s(literal 1/2500000000000000 binary64) t)
(* 1/2500000000000000 t)
(*.f64 #s(literal 1/2500000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* t (+ 1/5000000000000000 (/ 1 t)))
(fma.f64 #s(literal 1/5000000000000000 binary64) t #s(literal 1 binary64))
(* t (+ 1/5000000000000000 (/ 1 t)))
(fma.f64 #s(literal 1/5000000000000000 binary64) t #s(literal 1 binary64))
(* t (+ 1/5000000000000000 (/ 1 t)))
(fma.f64 #s(literal 1/5000000000000000 binary64) t #s(literal 1 binary64))
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)

rewrite345.0ms (4.6%)

Memory

12.3MiB live, 339.6MiB allocated

Rules

12 464×	`lower-fma.f64`
12 464×	`lower-fma.f32`
5 184×	`lower-*.f32`
5 178×	`lower-*.f64`
3 172×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	43
0	17	35
1	77	31
2	687	31
0	8919	27

Stop Event

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

Counts

5 → 513

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64))))
(.f64 #s(literal 2 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))
(*.f64 t #s(literal 1/5000000000000000 binary64))

Outputs
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eval178.0ms (2.4%)

Memory: -25.6MiB live, 214.5MiB allocated
Compiler: Compiled 21 725 to 1 744 computations (92% saved)

prune12.0ms (0.2%)

Memory

2.3MiB live, 41.8MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	670	1	671
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	671	1	672

Accuracy

99.4%

Counts

672 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify388.0ms (5.2%)

Memory

9.4MiB live, 204.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 t t)
cost-diff	0	(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
cost-diff	0	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)))

New

Metric

Score

Program

cost-diff

(*.f64 t t)

cost-diff

(*.f64 (*.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))

cost-diff

#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (*.f64 (*.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)))

Rules

17 956×	`lower-fma.f64`
17 956×	`lower-fma.f32`
2 676×	`lower-+.f64`
2 676×	`lower-+.f32`
2 440×	`lower-*.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	35
0	17	35
1	42	33
2	119	31
3	292	29
4	898	21
5	2569	21
6	4368	21
7	5867	21
8	6768	21
9	7414	21
10	7620	21
11	7651	21
12	7662	21
13	7904	21
0	8007	21

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(*.f64 t t)
t
#s(literal 1/25000000000000000000000000000000 binary64)

Outputs
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)))
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 #s(literal 1/25000000000000000000000000000000 binary64) (.f64 t t)))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(.f64 #s(literal 1/25000000000000000000000000000000 binary64) (.f64 t t))
(*.f64 t t)
t
#s(literal 1/25000000000000000000000000000000 binary64)

localize136.0ms (1.8%)

Memory

-17.6MiB live, 71.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 t t)
accuracy	0	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)))
accuracy	0.38671875	(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))

New

Metric

Score

Program

accuracy

(*.f64 t t)

accuracy

#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (*.f64 (*.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)))

accuracy

0.38671875

(*.f64 (*.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))

Samples

102.0ms

256×

valid

Compiler

Compiled 31 to 16 computations (48.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 45.0ms (48.7% of total)

adjust: 28.0ms (30.3% of total)

const: 12.0ms (13% of total)

ival-add: 4.0ms (4.3% of total)

ival-sub: 2.0ms (2.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs

#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (*.f64 (*.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) (patch #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (*.f64 (*.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) #<representation binary64>) () ())

#s(alt (*.f64 (*.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) (patch (*.f64 (*.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) #<representation binary64>) () ())

#s(alt (*.f64 t t) (patch (*.f64 t t) #<representation binary64>) () ())

Outputs
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) (patch #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) (patch #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) (patch #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) (patch #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) (patch (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) (patch (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) (patch (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) (patch (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor 0 t) (#s(alt (.f64 t t) (patch (.f64 t t) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor 0 t) (#s(alt (.f64 t t) (patch (.f64 t t) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor 0 t) (#s(alt (.f64 t t) (patch (.f64 t t) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor 0 t) (#s(alt (.f64 t t) (patch (.f64 t t) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) (patch #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) (patch #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) (patch #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) (patch #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) (patch (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) (patch (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) (patch (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) (patch (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor inf t) (#s(alt (.f64 t t) (patch (.f64 t t) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor inf t) (#s(alt (.f64 t t) (patch (.f64 t t) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor inf t) (#s(alt (.f64 t t) (patch (.f64 t t) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor inf t) (#s(alt (.f64 t t) (patch (.f64 t t) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) (patch #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) (patch #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) (patch #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) (patch #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) (patch (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) (patch (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) (patch (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) (patch (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor -inf t) (#s(alt (.f64 t t) (patch (.f64 t t) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor -inf t) (#s(alt (.f64 t t) (patch (.f64 t t) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor -inf t) (#s(alt (.f64 t t) (patch (.f64 t t) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor -inf t) (#s(alt (.f64 t t) (patch (.f64 t t) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

((+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (* (* t t) 1/25000000000000000000000000000000) (* t t))

1.0ms

-inf

((+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (* (* t t) 1/25000000000000000000000000000000) (* t t))

1.0ms

((+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (* (* t t) 1/25000000000000000000000000000000) (* t t))

simplify3.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`lower-*.f64`
14×	`lower-*.f32`
6×	`*-commutative`
2×	`lower-pow.f64`
2×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	156
1	7	156
2	11	156
3	12	156
0	12	156

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

Inputs
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)

Outputs
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 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)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 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)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 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)

rewrite203.0ms (2.7%)

Memory

-6.5MiB live, 269.6MiB allocated

Rules

12 466×	`lower-fma.f64`
12 466×	`lower-fma.f32`
5 192×	`lower-*.f32`
5 188×	`lower-*.f64`
3 172×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	33
0	17	29
1	81	27
2	696	27
0	8927	25

Stop Event

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

Counts

3 → 20

Calls

Call 1

Inputs

#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (*.f64 (*.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)))

(*.f64 (*.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))

(*.f64 t t)

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval5.0ms (0.1%)

Memory: 25.8MiB live, 25.8MiB allocated
Compiler: Compiled 390 to 65 computations (83.3% saved)

prune7.0ms (0.1%)

Memory

-17.5MiB live, 22.0MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	4	57

Accuracy

99.9%

Counts

57 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)))
✓	99.4%	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)))
▶	99.3%	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t))
▶	99.3%	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t)))

Compiler

Compiled 28 to 21 computations (25% saved)

simplify252.0ms (3.4%)

Memory

5.6MiB live, 222.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 1/5000000000000000 binary64) t)
cost-diff	0	(.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t)
cost-diff	0	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)))
cost-diff	320	(.f64 (.f64 (*.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64))
cost-diff	0	(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))
cost-diff	0	(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
cost-diff	0	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t))
cost-diff	0	(*.f64 #s(literal 1/5000000000000000 binary64) t)
cost-diff	0	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t)))
cost-diff	320	(.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t))

Rules

17 956×	`lower-fma.f64`
17 956×	`lower-fma.f32`
2 676×	`lower-+.f64`
2 676×	`lower-+.f32`
2 440×	`lower-*.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	118
0	27	110
1	68	104
2	148	98
3	307	92
4	845	68
5	2473	68
6	4384	68
7	5893	68
8	6792	68
9	7440	68
10	7646	68
11	7677	68
12	7688	68
13	7935	68
0	8038	68

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t)))
(.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t))
(*.f64 #s(literal 1/5000000000000000 binary64) t)
#s(literal 1/5000000000000000 binary64)
t
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))
t
#s(literal 1/25000000000000000000000000000000 binary64)
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)))
(.f64 (.f64 (*.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64))
(.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
#s(literal 1/5000000000000000 binary64)
t

Outputs
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t)))
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/25000000000000000000000000000000 binary64) t) t))
(.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t))
(.f64 (.f64 #s(literal 1/25000000000000000000000000000000 binary64) t) t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(*.f64 t #s(literal 1/5000000000000000 binary64))
#s(literal 1/5000000000000000 binary64)
t
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t))
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/25000000000000000000000000000000 binary64) t) t))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(.f64 (.f64 #s(literal 1/25000000000000000000000000000000 binary64) t) t)
(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))
(*.f64 #s(literal 1/25000000000000000000000000000000 binary64) t)
t
#s(literal 1/25000000000000000000000000000000 binary64)
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)))
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/25000000000000000000000000000000 binary64) t) t))
(.f64 (.f64 (*.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64))
(.f64 (.f64 #s(literal 1/25000000000000000000000000000000 binary64) t) t)
(.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t)
(.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(*.f64 t #s(literal 1/5000000000000000 binary64))
#s(literal 1/5000000000000000 binary64)
t

localize80.0ms (1.1%)

Memory

3.0MiB live, 122.2MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)))
accuracy	0.125	(*.f64 #s(literal 1/5000000000000000 binary64) t)
accuracy	0.2109375	(.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t)
accuracy	0.296875	(.f64 (.f64 (*.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64))
accuracy	0	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t))
accuracy	0.24609375	(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
accuracy	0.375	(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))
accuracy	0	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t)))
accuracy	0.125	(*.f64 #s(literal 1/5000000000000000 binary64) t)
accuracy	0.39453125	(.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t))

Samples

67.0ms

256×

valid

Compiler

Compiled 98 to 20 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 23.0ms (43.9% of total)

const: 12.0ms (22.9% of total)

adjust: 7.0ms (13.4% of total)

ival-add: 5.0ms (9.5% of total)

ival-sub: 4.0ms (7.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

-23.7MiB live, 12.7MiB allocated

Counts

9 → 108

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) (patch (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/5000000000000000 binary64) t) (patch (.f64 #s(literal 1/5000000000000000 binary64) t) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)) (patch #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t) (patch (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t) #<representation binary64>) () ())
#s(alt (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) (patch (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)) (patch (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) (patch (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #<representation binary64>) () ())

Outputs
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) (patch (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) (patch (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) (patch (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) (patch (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t))) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor 0 t) (#s(alt (.f64 #s(literal 1/5000000000000000 binary64) t) (patch (.f64 #s(literal 1/5000000000000000 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor 0 t) (#s(alt (.f64 #s(literal 1/5000000000000000 binary64) t) (patch (.f64 #s(literal 1/5000000000000000 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor 0 t) (#s(alt (.f64 #s(literal 1/5000000000000000 binary64) t) (patch (.f64 #s(literal 1/5000000000000000 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor 0 t) (#s(alt (.f64 #s(literal 1/5000000000000000 binary64) t) (patch (.f64 #s(literal 1/5000000000000000 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)) (patch #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)) (patch #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)) (patch #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)) (patch #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t) (patch (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t) (patch (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t) (patch (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t) (patch (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 t) (taylor 0 t) (#s(alt (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) (patch (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 t) (taylor 0 t) (#s(alt (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) (patch (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 t) (taylor 0 t) (#s(alt (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) (patch (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 t) (taylor 0 t) (#s(alt (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) (patch (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)) (patch (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)) (patch (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)) (patch (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)) (patch (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) (patch (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) (patch (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) (patch (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) (patch (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) (patch (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) (patch (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) (patch (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) (patch (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t))) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor inf t) (#s(alt (.f64 #s(literal 1/5000000000000000 binary64) t) (patch (.f64 #s(literal 1/5000000000000000 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor inf t) (#s(alt (.f64 #s(literal 1/5000000000000000 binary64) t) (patch (.f64 #s(literal 1/5000000000000000 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor inf t) (#s(alt (.f64 #s(literal 1/5000000000000000 binary64) t) (patch (.f64 #s(literal 1/5000000000000000 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor inf t) (#s(alt (.f64 #s(literal 1/5000000000000000 binary64) t) (patch (.f64 #s(literal 1/5000000000000000 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)) (patch #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)) (patch #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)) (patch #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)) #<representation binary64>) () ())) ())
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#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)) (patch (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/5000000000000000 (pow t 2)) (taylor inf t) (#s(alt (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) (patch (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) (patch (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) (patch (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) (patch (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) (patch (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (.f64 #s(literal 1/5000000000000000 binary64) t))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t))) #<representation binary64>) () ())) ())
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#s(alt (* 1/5000000000000000 t) (taylor -inf t) (#s(alt (.f64 #s(literal 1/5000000000000000 binary64) t) (patch (.f64 #s(literal 1/5000000000000000 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor -inf t) (#s(alt (.f64 #s(literal 1/5000000000000000 binary64) t) (patch (.f64 #s(literal 1/5000000000000000 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor -inf t) (#s(alt (.f64 #s(literal 1/5000000000000000 binary64) t) (patch (.f64 #s(literal 1/5000000000000000 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)) (patch #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)) (patch #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)) (patch #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)) #<representation binary64>) () ())) ())
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#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t) (patch (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t) (patch (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t) (patch (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 t) (taylor -inf t) (#s(alt (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) (patch (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 t) (taylor -inf t) (#s(alt (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) (patch (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 t) (taylor -inf t) (#s(alt (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) (patch (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 t) (taylor -inf t) (#s(alt (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) (patch (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)) (patch (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)) (patch (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)) (patch (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)) (patch (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 (pow t 2)) (taylor -inf t) (#s(alt (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) (patch (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 (pow t 2)) (taylor -inf t) (#s(alt (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) (patch (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 (pow t 2)) (taylor -inf t) (#s(alt (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) (patch (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 (pow t 2)) (taylor -inf t) (#s(alt (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) (patch (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

8.0ms

-inf

((* (* 1/5000000000000000 t) (* 1/5000000000000000 t)) (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (* 1/5000000000000000 t) (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (* (* t 1/25000000000000000000000000000000) t) (* t 1/25000000000000000000000000000000) (* (* (* 1/5000000000000000 t) t) 1/5000000000000000) (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (* (* 1/5000000000000000 t) t))

1.0ms

inf

((* (* 1/5000000000000000 t) (* 1/5000000000000000 t)) (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (* 1/5000000000000000 t) (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (* (* t 1/25000000000000000000000000000000) t) (* t 1/25000000000000000000000000000000) (* (* (* 1/5000000000000000 t) t) 1/5000000000000000) (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (* (* 1/5000000000000000 t) t))

1.0ms

((* (* 1/5000000000000000 t) (* 1/5000000000000000 t)) (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (* 1/5000000000000000 t) (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (* (* t 1/25000000000000000000000000000000) t) (* t 1/25000000000000000000000000000000) (* (* (* 1/5000000000000000 t) t) 1/5000000000000000) (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (* (* 1/5000000000000000 t) t))

simplify5.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`lower-*.f64`
26×	`lower-*.f32`
8×	`*-commutative`
4×	`associate-r`
4×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	492
1	14	492
2	18	492
0	18	492

Stop Event

1×	iter limit
1×	saturated

Counts

108 → 108

Calls

Call 1

Inputs
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/5000000000000000 (pow t 2))
(* 1/5000000000000000 (pow t 2))
(* 1/5000000000000000 (pow t 2))
(* 1/5000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/5000000000000000 (pow t 2))
(* 1/5000000000000000 (pow t 2))
(* 1/5000000000000000 (pow t 2))
(* 1/5000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 t)
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/5000000000000000 (pow t 2))
(* 1/5000000000000000 (pow t 2))
(* 1/5000000000000000 (pow t 2))
(* 1/5000000000000000 (pow t 2))

Outputs
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 t)
(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 t)
(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 t)
(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 t)
(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/5000000000000000 (pow t 2))
(.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t)
(* 1/5000000000000000 (pow t 2))
(.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t)
(* 1/5000000000000000 (pow t 2))
(.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t)
(* 1/5000000000000000 (pow t 2))
(.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 t)
(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 t)
(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 t)
(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 t)
(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/5000000000000000 (pow t 2))
(.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t)
(* 1/5000000000000000 (pow t 2))
(.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t)
(* 1/5000000000000000 (pow t 2))
(.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t)
(* 1/5000000000000000 (pow t 2))
(.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 t)
(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 t)
(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 t)
(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 t)
(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64))
(* 1/5000000000000000 (pow t 2))
(.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t)
(* 1/5000000000000000 (pow t 2))
(.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t)
(* 1/5000000000000000 (pow t 2))
(.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t)
(* 1/5000000000000000 (pow t 2))
(.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t)

rewrite206.0ms (2.8%)

Memory

32.5MiB live, 183.5MiB allocated

Rules

12 604×	`lower-fma.f64`
12 604×	`lower-fma.f32`
5 226×	`lower-*.f32`
5 214×	`lower-*.f64`
3 172×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	109
0	27	89
1	107	83
2	728	83
0	8977	77

Stop Event

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

Counts

9 → 71

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t))
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t)))
(*.f64 #s(literal 1/5000000000000000 binary64) t)
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(*.f64 t #s(literal 1/25000000000000000000000000000000 binary64))
(.f64 (.f64 (*.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64))
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)))
(.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) t)

Outputs
#<batchref>
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eval23.0ms (0.3%)

Memory: 4.0MiB live, 41.0MiB allocated
Compiler: Compiled 1 762 to 175 computations (90.1% saved)

prune29.0ms (0.4%)

Memory

-35.1MiB live, 50.4MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	221	2	223
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	222	5	227

Accuracy

100.0%

Counts

227 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/5000000000000000 binary64) t)))
▶	99.3%	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64)))
✓	99.4%	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)))
✓	99.3%	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t))
✓	99.3%	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t)))

Compiler

Compiled 44 to 30 computations (31.8% saved)

simplify242.0ms (3.3%)

Memory

11.8MiB live, 239.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/5000000000000000 binary64) t)))
cost-diff	320	(.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/5000000000000000 binary64) t))
cost-diff	1920	(.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)))
cost-diff	5824	(pow.f64 (*.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 t t)
cost-diff	0	(.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64))
cost-diff	0	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64)))
cost-diff	320	(.f64 (.f64 (*.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64))

Rules

21 530×	`lower-fma.f64`
21 530×	`lower-fma.f32`
3 176×	`lower-*.f32`
3 162×	`lower-*.f64`
2 510×	`lower--.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	119
0	30	86
1	69	82
2	169	78
3	368	74
4	1010	58
5	2877	58
6	5002	58
7	6840	58
8	7747	58
0	8075	58

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64)))
(.f64 (.f64 (*.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64))
(.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64))
(*.f64 t t)
t
#s(literal 1/5000000000000000 binary64)
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/5000000000000000 binary64) t)))
(.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/5000000000000000 binary64) t))
(.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))
(*.f64 t #s(literal 1/5000000000000000 binary64))
t
#s(literal 1/5000000000000000 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/5000000000000000 binary64) t)

Outputs
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64)))
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 #s(literal 1/25000000000000000000000000000000 binary64) (.f64 t t)))
(.f64 (.f64 (*.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64))
(.f64 #s(literal 1/25000000000000000000000000000000 binary64) (.f64 t t))
(.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64))
(.f64 #s(literal 1/5000000000000000 binary64) (.f64 t t))
(*.f64 t t)
t
#s(literal 1/5000000000000000 binary64)
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/5000000000000000 binary64) t)))
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 #s(literal 1/25000000000000000000000000000000 binary64) (.f64 t t)))
(.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/5000000000000000 binary64) t))
(.f64 #s(literal 1/25000000000000000000000000000000 binary64) (.f64 t t))
(.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(pow.f64 (*.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/5000000000000000 binary64) t))
(*.f64 t #s(literal 1/5000000000000000 binary64))
(*.f64 #s(literal 1/5000000000000000 binary64) t)
t
#s(literal 1/5000000000000000 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/5000000000000000 binary64) t)

localize87.0ms (1.2%)

Memory

27.0MiB live, 151.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.125	(*.f64 #s(literal 1/5000000000000000 binary64) t)
accuracy	0.15234375	(pow.f64 (*.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))
accuracy	0.39453125	(.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/5000000000000000 binary64) t))
accuracy	0.51171875	(.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)))
accuracy	0	(*.f64 t t)
accuracy	0	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64)))
accuracy	0.296875	(.f64 (.f64 (*.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64))
accuracy	0.3046875	(.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64))

Samples

73.0ms

256×

valid

Compiler

Compiled 97 to 21 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 31.0ms (53.5% of total)

const: 9.0ms (15.5% of total)

adjust: 7.0ms (12.1% of total)

ival-add: 4.0ms (6.9% of total)

ival-sqrt: 4.0ms (6.9% of total)

ival-sub: 2.0ms (3.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

-10.6MiB live, 25.6MiB allocated

Counts

9 → 108

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64)) (patch (.f64 (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) (patch (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())
#s(alt (.f64 t t) (patch (.f64 t t) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (patch (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t)) (patch (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/5000000000000000 binary64) t))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/5000000000000000 binary64) t) (patch (.f64 #s(literal 1/5000000000000000 binary64) t) #<representation binary64>) () ())

Outputs
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64)) (patch (.f64 (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64)) (patch (.f64 (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64)) (patch (.f64 (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64)) (patch (.f64 (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) (patch (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) (patch (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) (patch (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 (pow t 2)) (taylor 0 t) (#s(alt (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) (patch (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor 0 t) (#s(alt (.f64 t t) (patch (.f64 t t) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor 0 t) (#s(alt (.f64 t t) (patch (.f64 t t) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor 0 t) (#s(alt (.f64 t t) (patch (.f64 t t) #<representation binary64>) () ())) ())
#s(alt (pow t 2) (taylor 0 t) (#s(alt (.f64 t t) (patch (.f64 t t) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (sqrt 1/5000000000000000)) (taylor 0 t) (#s(alt (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (sqrt 1/5000000000000000)) (taylor 0 t) (#s(alt (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (sqrt 1/5000000000000000)) (taylor 0 t) (#s(alt (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (sqrt 1/5000000000000000)) (taylor 0 t) (#s(alt (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* t (pow (sqrt 1/5000000000000000) 2)) (taylor 0 t) (#s(alt (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (patch (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* t (pow (sqrt 1/5000000000000000) 2)) (taylor 0 t) (#s(alt (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (patch (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* t (pow (sqrt 1/5000000000000000) 2)) (taylor 0 t) (#s(alt (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (patch (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* t (pow (sqrt 1/5000000000000000) 2)) (taylor 0 t) (#s(alt (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (patch (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 (* (pow t 2) (pow (sqrt 1/5000000000000000) 2))) (taylor 0 t) (#s(alt (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t)) (patch (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 (* (pow t 2) (pow (sqrt 1/5000000000000000) 2))) (taylor 0 t) (#s(alt (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t)) (patch (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 (* (pow t 2) (pow (sqrt 1/5000000000000000) 2))) (taylor 0 t) (#s(alt (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t)) (patch (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 (* (pow t 2) (pow (sqrt 1/5000000000000000) 2))) (taylor 0 t) (#s(alt (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t)) (patch (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/5000000000000000 binary64) t))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/5000000000000000 binary64) t))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/5000000000000000 binary64) t))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor 0 t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/5000000000000000 binary64) t))) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor 0 t) (#s(alt (.f64 #s(literal 1/5000000000000000 binary64) t) (patch (.f64 #s(literal 1/5000000000000000 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor 0 t) (#s(alt (.f64 #s(literal 1/5000000000000000 binary64) t) (patch (.f64 #s(literal 1/5000000000000000 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor 0 t) (#s(alt (.f64 #s(literal 1/5000000000000000 binary64) t) (patch (.f64 #s(literal 1/5000000000000000 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor 0 t) (#s(alt (.f64 #s(literal 1/5000000000000000 binary64) t) (patch (.f64 #s(literal 1/5000000000000000 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor inf t) (#s(alt (.f64 (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64)) (patch (.f64 (.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1/5000000000000000 (* (pow t 2) (pow (sqrt -1/5000000000000000) 2))) (taylor -inf t) (#s(alt (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t)) (patch (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* -1/5000000000000000 (* (pow t 2) (pow (sqrt -1/5000000000000000) 2))) (taylor -inf t) (#s(alt (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t)) (patch (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* -1/5000000000000000 (* (pow t 2) (pow (sqrt -1/5000000000000000) 2))) (taylor -inf t) (#s(alt (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t)) (patch (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* -1/5000000000000000 (* (pow t 2) (pow (sqrt -1/5000000000000000) 2))) (taylor -inf t) (#s(alt (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t)) (patch (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t)) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/5000000000000000 binary64) t))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/5000000000000000 binary64) t))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/5000000000000000 binary64) t))) #<representation binary64>) () ())) ())
#s(alt (* 1/25000000000000000000000000000000 (pow t 2)) (taylor -inf t) (#s(alt #s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t))) (patch #s(approx (+ ( (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/5000000000000000 binary64) t))) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor -inf t) (#s(alt (.f64 #s(literal 1/5000000000000000 binary64) t) (patch (.f64 #s(literal 1/5000000000000000 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor -inf t) (#s(alt (.f64 #s(literal 1/5000000000000000 binary64) t) (patch (.f64 #s(literal 1/5000000000000000 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor -inf t) (#s(alt (.f64 #s(literal 1/5000000000000000 binary64) t) (patch (.f64 #s(literal 1/5000000000000000 binary64) t) #<representation binary64>) () ())) ())
#s(alt (* 1/5000000000000000 t) (taylor -inf t) (#s(alt (.f64 #s(literal 1/5000000000000000 binary64) t) (patch (.f64 #s(literal 1/5000000000000000 binary64) t) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

((* (* (* t t) 1/5000000000000000) 1/5000000000000000) (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (* (* t t) 1/5000000000000000) (* t t) (pow (* t 1/5000000000000000) 1/2) (* (pow (* t 1/5000000000000000) 1/2) (pow (* t 1/5000000000000000) 1/2)) (* (* (pow (* t 1/5000000000000000) 1/2) (pow (* t 1/5000000000000000) 1/2)) (* 1/5000000000000000 t)) (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (* 1/5000000000000000 t))

4.0ms

-inf

((* (* (* t t) 1/5000000000000000) 1/5000000000000000) (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (* (* t t) 1/5000000000000000) (* t t) (pow (* t 1/5000000000000000) 1/2) (* (pow (* t 1/5000000000000000) 1/2) (pow (* t 1/5000000000000000) 1/2)) (* (* (pow (* t 1/5000000000000000) 1/2) (pow (* t 1/5000000000000000) 1/2)) (* 1/5000000000000000 t)) (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (* 1/5000000000000000 t))

2.0ms

inf

((* (* (* t t) 1/5000000000000000) 1/5000000000000000) (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (* (* t t) 1/5000000000000000) (* t t) (pow (* t 1/5000000000000000) 1/2) (* (pow (* t 1/5000000000000000) 1/2) (pow (* t 1/5000000000000000) 1/2)) (* (* (pow (* t 1/5000000000000000) 1/2) (pow (* t 1/5000000000000000) 1/2)) (* 1/5000000000000000 t)) (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (* 1/5000000000000000 t))

simplify149.0ms (2%)

Memory

-13.0MiB live, 62.9MiB allocated

Algorithm

1×	egg-herbie

Rules

1 704×	`lower-*.f64`
1 704×	`lower-fma.f64`
1 704×	`lower-fma.f32`
1 704×	`lower-*.f32`
1 334×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	556
1	55	484
2	138	484
3	322	484
4	636	484
5	1662	484
6	2531	484
7	3391	484
8	3484	484
9	3561	484
10	3612	484
11	3633	484
12	3996	484
13	4162	484
14	4162	484
15	4162	484
16	4162	484
17	4162	484
18	4290	484
19	4316	484
0	4316	484

Stop Event

1×	iter limit
1×	saturated

Counts

108 → 108

Calls

Call 1

Inputs
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/5000000000000000 (pow t 2))
(* 1/5000000000000000 (pow t 2))
(* 1/5000000000000000 (pow t 2))
(* 1/5000000000000000 (pow t 2))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(* (sqrt t) (sqrt 1/5000000000000000))
(* (sqrt t) (sqrt 1/5000000000000000))
(* (sqrt t) (sqrt 1/5000000000000000))
(* (sqrt t) (sqrt 1/5000000000000000))
(* t (pow (sqrt 1/5000000000000000) 2))
(* t (pow (sqrt 1/5000000000000000) 2))
(* t (pow (sqrt 1/5000000000000000) 2))
(* t (pow (sqrt 1/5000000000000000) 2))
(* 1/5000000000000000 (* (pow t 2) (pow (sqrt 1/5000000000000000) 2)))
(* 1/5000000000000000 (* (pow t 2) (pow (sqrt 1/5000000000000000) 2)))
(* 1/5000000000000000 (* (pow t 2) (pow (sqrt 1/5000000000000000) 2)))
(* 1/5000000000000000 (* (pow t 2) (pow (sqrt 1/5000000000000000) 2)))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/5000000000000000 (pow t 2))
(* 1/5000000000000000 (pow t 2))
(* 1/5000000000000000 (pow t 2))
(* 1/5000000000000000 (pow t 2))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(* (sqrt t) (sqrt 1/5000000000000000))
(* (sqrt t) (sqrt 1/5000000000000000))
(* (sqrt t) (sqrt 1/5000000000000000))
(* (sqrt t) (sqrt 1/5000000000000000))
(* t (pow (sqrt 1/5000000000000000) 2))
(* t (pow (sqrt 1/5000000000000000) 2))
(* t (pow (sqrt 1/5000000000000000) 2))
(* t (pow (sqrt 1/5000000000000000) 2))
(* 1/5000000000000000 (* (pow t 2) (pow (sqrt 1/5000000000000000) 2)))
(* 1/5000000000000000 (* (pow t 2) (pow (sqrt 1/5000000000000000) 2)))
(* 1/5000000000000000 (* (pow t 2) (pow (sqrt 1/5000000000000000) 2)))
(* 1/5000000000000000 (* (pow t 2) (pow (sqrt 1/5000000000000000) 2)))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/5000000000000000 (pow t 2))
(* 1/5000000000000000 (pow t 2))
(* 1/5000000000000000 (pow t 2))
(* 1/5000000000000000 (pow t 2))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(* -1 (* (sqrt t) (* (sqrt -1) (sqrt -1/5000000000000000))))
(* -1 (* (sqrt t) (* (sqrt -1) (sqrt -1/5000000000000000))))
(* -1 (* (sqrt t) (* (sqrt -1) (sqrt -1/5000000000000000))))
(* -1 (* (sqrt t) (* (sqrt -1) (sqrt -1/5000000000000000))))
(* -1 (* t (pow (sqrt -1/5000000000000000) 2)))
(* -1 (* t (pow (sqrt -1/5000000000000000) 2)))
(* -1 (* t (pow (sqrt -1/5000000000000000) 2)))
(* -1 (* t (pow (sqrt -1/5000000000000000) 2)))
(* -1/5000000000000000 (* (pow t 2) (pow (sqrt -1/5000000000000000) 2)))
(* -1/5000000000000000 (* (pow t 2) (pow (sqrt -1/5000000000000000) 2)))
(* -1/5000000000000000 (* (pow t 2) (pow (sqrt -1/5000000000000000) 2)))
(* -1/5000000000000000 (* (pow t 2) (pow (sqrt -1/5000000000000000) 2)))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/25000000000000000000000000000000 (pow t 2))
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)
(* 1/5000000000000000 t)

Outputs
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/5000000000000000 (pow t 2))
(.f64 #s(literal 1/5000000000000000 binary64) (.f64 t t))
(* 1/5000000000000000 (pow t 2))
(.f64 #s(literal 1/5000000000000000 binary64) (.f64 t t))
(* 1/5000000000000000 (pow t 2))
(.f64 #s(literal 1/5000000000000000 binary64) (.f64 t t))
(* 1/5000000000000000 (pow t 2))
(.f64 #s(literal 1/5000000000000000 binary64) (.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)
(* (sqrt t) (sqrt 1/5000000000000000))
(*.f64 (sqrt.f64 #s(literal 1/5000000000000000 binary64)) (sqrt.f64 t))
(* (sqrt t) (sqrt 1/5000000000000000))
(*.f64 (sqrt.f64 #s(literal 1/5000000000000000 binary64)) (sqrt.f64 t))
(* (sqrt t) (sqrt 1/5000000000000000))
(*.f64 (sqrt.f64 #s(literal 1/5000000000000000 binary64)) (sqrt.f64 t))
(* (sqrt t) (sqrt 1/5000000000000000))
(*.f64 (sqrt.f64 #s(literal 1/5000000000000000 binary64)) (sqrt.f64 t))
(* t (pow (sqrt 1/5000000000000000) 2))
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* t (pow (sqrt 1/5000000000000000) 2))
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* t (pow (sqrt 1/5000000000000000) 2))
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* t (pow (sqrt 1/5000000000000000) 2))
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 (* (pow t 2) (pow (sqrt 1/5000000000000000) 2)))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/5000000000000000 (* (pow t 2) (pow (sqrt 1/5000000000000000) 2)))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/5000000000000000 (* (pow t 2) (pow (sqrt 1/5000000000000000) 2)))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/5000000000000000 (* (pow t 2) (pow (sqrt 1/5000000000000000) 2)))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/5000000000000000 (pow t 2))
(.f64 #s(literal 1/5000000000000000 binary64) (.f64 t t))
(* 1/5000000000000000 (pow t 2))
(.f64 #s(literal 1/5000000000000000 binary64) (.f64 t t))
(* 1/5000000000000000 (pow t 2))
(.f64 #s(literal 1/5000000000000000 binary64) (.f64 t t))
(* 1/5000000000000000 (pow t 2))
(.f64 #s(literal 1/5000000000000000 binary64) (.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)
(* (sqrt t) (sqrt 1/5000000000000000))
(*.f64 (sqrt.f64 #s(literal 1/5000000000000000 binary64)) (sqrt.f64 t))
(* (sqrt t) (sqrt 1/5000000000000000))
(*.f64 (sqrt.f64 #s(literal 1/5000000000000000 binary64)) (sqrt.f64 t))
(* (sqrt t) (sqrt 1/5000000000000000))
(*.f64 (sqrt.f64 #s(literal 1/5000000000000000 binary64)) (sqrt.f64 t))
(* (sqrt t) (sqrt 1/5000000000000000))
(*.f64 (sqrt.f64 #s(literal 1/5000000000000000 binary64)) (sqrt.f64 t))
(* t (pow (sqrt 1/5000000000000000) 2))
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* t (pow (sqrt 1/5000000000000000) 2))
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* t (pow (sqrt 1/5000000000000000) 2))
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* t (pow (sqrt 1/5000000000000000) 2))
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 (* (pow t 2) (pow (sqrt 1/5000000000000000) 2)))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/5000000000000000 (* (pow t 2) (pow (sqrt 1/5000000000000000) 2)))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/5000000000000000 (* (pow t 2) (pow (sqrt 1/5000000000000000) 2)))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/5000000000000000 (* (pow t 2) (pow (sqrt 1/5000000000000000) 2)))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/5000000000000000 (pow t 2))
(.f64 #s(literal 1/5000000000000000 binary64) (.f64 t t))
(* 1/5000000000000000 (pow t 2))
(.f64 #s(literal 1/5000000000000000 binary64) (.f64 t t))
(* 1/5000000000000000 (pow t 2))
(.f64 #s(literal 1/5000000000000000 binary64) (.f64 t t))
(* 1/5000000000000000 (pow t 2))
(.f64 #s(literal 1/5000000000000000 binary64) (.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 (* (sqrt t) (* (sqrt -1) (sqrt -1/5000000000000000))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/5000000000000000 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 t)))
(* -1 (* (sqrt t) (* (sqrt -1) (sqrt -1/5000000000000000))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/5000000000000000 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 t)))
(* -1 (* (sqrt t) (* (sqrt -1) (sqrt -1/5000000000000000))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/5000000000000000 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 t)))
(* -1 (* (sqrt t) (* (sqrt -1) (sqrt -1/5000000000000000))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/5000000000000000 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 t)))
(* -1 (* t (pow (sqrt -1/5000000000000000) 2)))
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* -1 (* t (pow (sqrt -1/5000000000000000) 2)))
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* -1 (* t (pow (sqrt -1/5000000000000000) 2)))
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* -1 (* t (pow (sqrt -1/5000000000000000) 2)))
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* -1/5000000000000000 (* (pow t 2) (pow (sqrt -1/5000000000000000) 2)))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* -1/5000000000000000 (* (pow t 2) (pow (sqrt -1/5000000000000000) 2)))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* -1/5000000000000000 (* (pow t 2) (pow (sqrt -1/5000000000000000) 2)))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* -1/5000000000000000 (* (pow t 2) (pow (sqrt -1/5000000000000000) 2)))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/25000000000000000000000000000000 (pow t 2))
(.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)
(* 1/5000000000000000 t)
(*.f64 #s(literal 1/5000000000000000 binary64) t)

rewrite281.0ms (3.8%)

Memory

18.5MiB live, 339.8MiB allocated

Rules

14 182×	`lower-fma.f64`
14 182×	`lower-fma.f32`
4 912×	`lower-*.f32`
4 898×	`lower-*.f64`
2 614×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	111
0	30	74
1	121	66
2	816	66
0	9034	62

Stop Event

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

Counts

9 → 235

Calls

Call 1

Inputs
(.f64 (.f64 (*.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64))
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64)))
(.f64 (.f64 t t) #s(literal 1/5000000000000000 binary64))
(*.f64 t t)
(pow.f64 (*.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/5000000000000000 binary64) t))
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/5000000000000000 binary64) t)))
(*.f64 #s(literal 1/5000000000000000 binary64) t)

Outputs
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eval42.0ms (0.6%)

Memory: 15.2MiB live, 91.5MiB allocated
Compiler: Compiled 5 882 to 836 computations (85.8% saved)

prune20.0ms (0.3%)

Memory

-42.3MiB live, 42.6MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	399	2	401
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	400	6	406

Accuracy

100.0%

Counts

406 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (.f64 t (sqrt.f64 t)) (.f64 #s(literal 1/5000000000000000 binary64) (sqrt.f64 t))) #s(literal 1/5000000000000000 binary64)))
	99.2%	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 1/5000000000000000 binary64))) (sqrt.f64 #s(literal 1/5000000000000000 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t)))
✓	99.3%	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64)))
✓	99.4%	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)))
✓	99.3%	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t))
✓	99.3%	#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t)))

Compiler

Compiled 147 to 80 computations (45.6% saved)

regimes10.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t))
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)))
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/5000000000000000 binary64) t) (*.f64 #s(literal 1/5000000000000000 binary64) t)))
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 #s(literal 1/5000000000000000 binary64) t) t) #s(literal 1/5000000000000000 binary64)))
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (*.f64 t t) #s(literal 1/5000000000000000 binary64)) #s(literal 1/5000000000000000 binary64)))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))))
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 1/5000000000000000 binary64))) (sqrt.f64 #s(literal 1/5000000000000000 binary64))) (.f64 #s(literal 1/5000000000000000 binary64) t)))
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (.f64 t (sqrt.f64 t)) (.f64 #s(literal 1/5000000000000000 binary64) (sqrt.f64 t))) #s(literal 1/5000000000000000 binary64)))
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 t #s(literal 1/5000000000000000 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/5000000000000000 binary64) t)))

Outputs
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)))

Calls

3 calls:

3.0ms

(*.f64 t #s(literal 1/5000000000000000 binary64))

3.0ms

2.0ms

(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))))

Results

Accuracy	Segments	Branch
99.4%	1	`t`
99.4%	1	`(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))))`
99.4%	1	`(*.f64 t #s(literal 1/5000000000000000 binary64))`

Compiler

Compiled 23 to 15 computations (34.8% saved)

regimes4.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t))

Outputs
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t))

Calls

3 calls:

1.0ms

(*.f64 t #s(literal 1/5000000000000000 binary64))

1.0ms

(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))))

Results

Accuracy	Segments	Branch
99.3%	1	`t`
99.3%	1	`(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/5000000000000000 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (*.f64 t #s(literal 1/5000000000000000 binary64)))))`
99.3%	1	`(*.f64 t #s(literal 1/5000000000000000 binary64))`

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify21.0ms (0.3%)

Memory

6.3MiB live, 45.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	50
1	24	50

Stop Event

1×

saturated

Calls

Call 1

Inputs

#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (*.f64 (*.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)))

#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (*.f64 (*.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t))

Outputs
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t t) #s(literal 1/25000000000000000000000000000000 binary64)))
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 #s(literal 1/25000000000000000000000000000000 binary64) (.f64 t t)))
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 t #s(literal 1/25000000000000000000000000000000 binary64)) t))
#s(approx (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (.f64 (.f64 #s(literal 1/25000000000000000000000000000000 binary64) t) t))

soundness218.0ms (2.9%)

Memory

-27.4MiB live, 91.4MiB allocated

Rules

21 702×	`lower-fma.f64`
21 702×	`lower-fma.f32`
5 148×	`lower-*.f64`
5 148×	`lower-*.f32`
4 696×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	156
1	7	156
2	11	156
3	12	156
0	12	156
0	26	272
1	69	272
2	133	268
3	227	268
4	565	268
5	1834	268
6	2431	268
7	3080	268
8	4060	268
9	5037	268
10	5970	268
11	6324	268
12	6597	268
13	6781	268
0	8888	244

Stop Event

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

Compiler

Compiled 27 to 20 computations (25.9% saved)

preprocess34.0ms (0.5%)

Memory: 3.5MiB live, 80.2MiB allocated
Compiler: Compiled 98 to 58 computations (40.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze4.0ms (0.1%)

sample3.1s (42.2%)

explain427.0ms (5.7%)

preprocess321.0ms (4.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify211.0ms (2.8%)

localize65.0ms (0.9%)

series7.0ms (0.1%)

simplify245.0ms (3.3%)

rewrite345.0ms (4.6%)

eval178.0ms (2.4%)

prune12.0ms (0.2%)

simplify388.0ms (5.2%)

localize136.0ms (1.8%)

series4.0ms (0.1%)

simplify3.0ms (0%)

rewrite203.0ms (2.7%)

eval5.0ms (0.1%)

prune7.0ms (0.1%)

simplify252.0ms (3.4%)

localize80.0ms (1.1%)

series14.0ms (0.2%)

simplify5.0ms (0.1%)

rewrite206.0ms (2.8%)

eval23.0ms (0.3%)

prune29.0ms (0.4%)

simplify242.0ms (3.3%)

localize87.0ms (1.2%)

series16.0ms (0.2%)

simplify149.0ms (2%)

rewrite281.0ms (3.8%)

eval42.0ms (0.6%)

prune20.0ms (0.3%)

regimes10.0ms (0.1%)

regimes4.0ms (0.1%)

simplify21.0ms (0.3%)

soundness218.0ms (2.9%)

preprocess34.0ms (0.5%)

end0.0ms (0%)

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