Metrics for b parameter of renormalized beta distribution

start0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	12.5%	87.5%	0%	0%	0%	0
100%	12.5%	0%	87.5%	0%	0%	0%	1

Compiler

Compiled 25 to 16 computations (36% saved)

sample856.0ms (28.5%)

Memory

41.1MiB live, 1 014.9MiB allocated

Samples

577.0ms

8 004×

valid

Precisions

Click to see histograms. Total time spent on operations: 388.0ms

ival-sub: 141.0ms (36.3% of total)

ival-mult: 103.0ms (26.5% of total)

ival-<: 59.0ms (15.2% of total)

ival-div: 52.0ms (13.4% of total)

ival-and: 16.0ms (4.1% of total)

exact: 13.0ms (3.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain2.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64))`
-	-	`(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)`
-	-	`v`
-	-	`(-.f64 #s(literal 1 binary64) m)`
-	-	`#s(literal 1 binary64)`
-	-	`(.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))`
-	-	`(*.f64 m (-.f64 #s(literal 1 binary64) m))`
-	-	`m`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	4

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	4

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	4

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

1.0ms

8×

valid

Compiler

Compiled 137 to 36 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

exact: 0.0ms (0% of total)

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

preprocess183.0ms (6.1%)

Memory

-11.7MiB live, 185.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	75
1	65	70
2	218	65
3	863	65
4	3578	65
5	6579	65
0	8	13
0	13	13
1	24	13
2	51	13
3	118	13
4	374	13
5	1496	13
6	4241	13
7	7186	13
0	8022	12

Stop Event

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

Calls

Call 1

Inputs
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))

Outputs

(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))

(*.f64 (fma.f64 (-.f64 m #s(literal 1 binary64)) (/.f64 m v) #s(literal 1 binary64)) (-.f64 m #s(literal 1 binary64)))

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify132.0ms (4.4%)

Memory

6.5MiB live, 125.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 m (-.f64 #s(literal 1 binary64) m))
cost-diff	0	(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
cost-diff	0	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
cost-diff	128	(-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	40
0	13	40
1	24	40
2	51	40
3	118	40
4	374	40
5	1496	40
6	4241	40
7	7186	40
0	8022	38

Stop Event

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

Calls

Call 1

Inputs
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
(-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(*.f64 m (-.f64 #s(literal 1 binary64) m))
m
(-.f64 #s(literal 1 binary64) m)
#s(literal 1 binary64)
v

Outputs
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
(*.f64 (fma.f64 (-.f64 m #s(literal 1 binary64)) (/.f64 m v) #s(literal 1 binary64)) (-.f64 m #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64))
(fma.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m) #s(literal -1 binary64))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) m) v)
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(*.f64 (-.f64 #s(literal 1 binary64) m) m)
m
(-.f64 #s(literal 1 binary64) m)
#s(literal 1 binary64)
v

localize1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
accuracy	0	(-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64))
accuracy	0	(-.f64 #s(literal 1 binary64) m)
accuracy	0	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
accuracy	0	(*.f64 m (-.f64 #s(literal 1 binary64) m))

Samples

0.0ms

4×

valid

Compiler

Compiled 82 to 18 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.3%)

Memory

-25.9MiB live, 13.1MiB allocated

Counts

5 → 96

Calls

Call 1

Inputs
#s(alt (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (patch (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) (patch (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #<representation binary64>) () ())
#s(alt (.f64 m (-.f64 #s(literal 1 binary64) m)) (patch (.f64 m (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) m) (patch (-.f64 #s(literal 1 binary64) m) #<representation binary64>) () ())

Outputs
#s(alt (/ (* m (- 1 m)) v) (taylor 0 v) (#s(alt (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 v) (* m (- 1 m))) v) (taylor 0 v) (#s(alt (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 v) (* m (- 1 m))) v) (taylor 0 v) (#s(alt (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 v) (* m (- 1 m))) v) (taylor 0 v) (#s(alt (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* m (pow (- 1 m) 2)) v) (taylor 0 v) (#s(alt (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (patch (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v) (taylor 0 v) (#s(alt (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (patch (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v) (taylor 0 v) (#s(alt (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (patch (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v) (taylor 0 v) (#s(alt (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (patch (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (/ (* m (- 1 m)) v) (taylor 0 v) (#s(alt (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) (patch (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #<representation binary64>) () ())) ())
#s(alt (/ (* m (- 1 m)) v) (taylor 0 v) (#s(alt (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) (patch (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #<representation binary64>) () ())) ())
#s(alt (/ (* m (- 1 m)) v) (taylor 0 v) (#s(alt (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) (patch (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #<representation binary64>) () ())) ())
#s(alt (/ (* m (- 1 m)) v) (taylor 0 v) (#s(alt (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) (patch (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf v) (#s(alt (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (* m (- 1 m)) v) 1) (taylor inf v) (#s(alt (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (* m (- 1 m)) v) 1) (taylor inf v) (#s(alt (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (* m (- 1 m)) v) 1) (taylor inf v) (#s(alt (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (- 1 m)) (taylor inf v) (#s(alt (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (patch (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v)) (taylor inf v) (#s(alt (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (patch (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v)) (taylor inf v) (#s(alt (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (patch (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v)) (taylor inf v) (#s(alt (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (patch (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (/ (* m (- 1 m)) v) (taylor inf v) (#s(alt (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) (patch (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #<representation binary64>) () ())) ())
#s(alt (/ (* m (- 1 m)) v) (taylor inf v) (#s(alt (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) (patch (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #<representation binary64>) () ())) ())
#s(alt (/ (* m (- 1 m)) v) (taylor inf v) (#s(alt (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) (patch (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #<representation binary64>) () ())) ())
#s(alt (/ (* m (- 1 m)) v) (taylor inf v) (#s(alt (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) (patch (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf v) (#s(alt (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (* m (- 1 m)) v) 1) (taylor -inf v) (#s(alt (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (* m (- 1 m)) v) 1) (taylor -inf v) (#s(alt (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (* m (- 1 m)) v) 1) (taylor -inf v) (#s(alt (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (- 1 m)) (taylor -inf v) (#s(alt (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (patch (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v)) (taylor -inf v) (#s(alt (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (patch (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v)) (taylor -inf v) (#s(alt (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (patch (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v)) (taylor -inf v) (#s(alt (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (patch (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (/ (* m (- 1 m)) v) (taylor -inf v) (#s(alt (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) (patch (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #<representation binary64>) () ())) ())
#s(alt (/ (* m (- 1 m)) v) (taylor -inf v) (#s(alt (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) (patch (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #<representation binary64>) () ())) ())
#s(alt (/ (* m (- 1 m)) v) (taylor -inf v) (#s(alt (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) (patch (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #<representation binary64>) () ())) ())
#s(alt (/ (* m (- 1 m)) v) (taylor -inf v) (#s(alt (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) (patch (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 m) (#s(alt (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ m v) 1) (taylor 0 m) (#s(alt (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1) (taylor 0 m) (#s(alt (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1) (taylor 0 m) (#s(alt (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 m) (#s(alt (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (patch (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (- (* m (+ 1 (/ 1 v))) 1) (taylor 0 m) (#s(alt (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (patch (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (- (* m (+ 1 (+ (* -2 (/ m v)) (/ 1 v)))) 1) (taylor 0 m) (#s(alt (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (patch (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (- (* m (+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))) 1) (taylor 0 m) (#s(alt (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (patch (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (/ m v) (taylor 0 m) (#s(alt (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) (patch (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #<representation binary64>) () ())) ())
#s(alt (* m (+ (* -1 (/ m v)) (/ 1 v))) (taylor 0 m) (#s(alt (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) (patch (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #<representation binary64>) () ())) ())
#s(alt (* m (+ (* -1 (/ m v)) (/ 1 v))) (taylor 0 m) (#s(alt (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) (patch (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #<representation binary64>) () ())) ())
#s(alt (* m (+ (* -1 (/ m v)) (/ 1 v))) (taylor 0 m) (#s(alt (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) (patch (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #<representation binary64>) () ())) ())
#s(alt m (taylor 0 m) (#s(alt (.f64 m (-.f64 #s(literal 1 binary64) m)) (patch (.f64 m (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (* m (+ 1 (* -1 m))) (taylor 0 m) (#s(alt (.f64 m (-.f64 #s(literal 1 binary64) m)) (patch (.f64 m (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (* m (+ 1 (* -1 m))) (taylor 0 m) (#s(alt (.f64 m (-.f64 #s(literal 1 binary64) m)) (patch (.f64 m (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (* m (+ 1 (* -1 m))) (taylor 0 m) (#s(alt (.f64 m (-.f64 #s(literal 1 binary64) m)) (patch (.f64 m (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 m) (#s(alt (-.f64 #s(literal 1 binary64) m) (patch (-.f64 #s(literal 1 binary64) m) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 m)) (taylor 0 m) (#s(alt (-.f64 #s(literal 1 binary64) m) (patch (-.f64 #s(literal 1 binary64) m) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 m)) (taylor 0 m) (#s(alt (-.f64 #s(literal 1 binary64) m) (patch (-.f64 #s(literal 1 binary64) m) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 m)) (taylor 0 m) (#s(alt (-.f64 #s(literal 1 binary64) m) (patch (-.f64 #s(literal 1 binary64) m) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow m 2) v)) (taylor inf m) (#s(alt (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v))) (taylor inf m) (#s(alt (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) (taylor inf m) (#s(alt (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2))))) (taylor inf m) (#s(alt (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow m 3) v) (taylor inf m) (#s(alt (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (patch (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v))))) (taylor inf m) (#s(alt (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (patch (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v)))) (taylor inf m) (#s(alt (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (patch (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (+ (/ 1 (pow m 3)) (/ 2 (* m v))))) (taylor inf m) (#s(alt (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (patch (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow m 2) v)) (taylor inf m) (#s(alt (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) (patch (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v))) (taylor inf m) (#s(alt (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) (patch (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v))) (taylor inf m) (#s(alt (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) (patch (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v))) (taylor inf m) (#s(alt (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) (patch (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow m 2)) (taylor inf m) (#s(alt (.f64 m (-.f64 #s(literal 1 binary64) m)) (patch (.f64 m (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (/ 1 m) 1)) (taylor inf m) (#s(alt (.f64 m (-.f64 #s(literal 1 binary64) m)) (patch (.f64 m (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (/ 1 m) 1)) (taylor inf m) (#s(alt (.f64 m (-.f64 #s(literal 1 binary64) m)) (patch (.f64 m (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (/ 1 m) 1)) (taylor inf m) (#s(alt (.f64 m (-.f64 #s(literal 1 binary64) m)) (patch (.f64 m (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (* -1 m) (taylor inf m) (#s(alt (-.f64 #s(literal 1 binary64) m) (patch (-.f64 #s(literal 1 binary64) m) #<representation binary64>) () ())) ())
#s(alt (* m (- (/ 1 m) 1)) (taylor inf m) (#s(alt (-.f64 #s(literal 1 binary64) m) (patch (-.f64 #s(literal 1 binary64) m) #<representation binary64>) () ())) ())
#s(alt (* m (- (/ 1 m) 1)) (taylor inf m) (#s(alt (-.f64 #s(literal 1 binary64) m) (patch (-.f64 #s(literal 1 binary64) m) #<representation binary64>) () ())) ())
#s(alt (* m (- (/ 1 m) 1)) (taylor inf m) (#s(alt (-.f64 #s(literal 1 binary64) m) (patch (-.f64 #s(literal 1 binary64) m) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow m 2) v)) (taylor -inf m) (#s(alt (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v))) (taylor -inf m) (#s(alt (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v))) (taylor -inf m) (#s(alt (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v))) (taylor -inf m) (#s(alt (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (patch (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow m 3) v) (taylor -inf m) (#s(alt (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (patch (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v)))) (taylor -inf m) (#s(alt (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (patch (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v)))) (taylor -inf m) (#s(alt (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (patch (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 m) (+ 1 (/ 1 v))) m)) (* 2 (/ 1 v))) m)) (/ 1 v)))) (taylor -inf m) (#s(alt (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) (patch (.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow m 2) v)) (taylor -inf m) (#s(alt (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) (patch (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v))) (taylor -inf m) (#s(alt (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) (patch (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v))) (taylor -inf m) (#s(alt (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) (patch (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (/ 1 (* m v)) (/ 1 v))) (taylor -inf m) (#s(alt (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) (patch (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow m 2)) (taylor -inf m) (#s(alt (.f64 m (-.f64 #s(literal 1 binary64) m)) (patch (.f64 m (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (/ 1 m) 1)) (taylor -inf m) (#s(alt (.f64 m (-.f64 #s(literal 1 binary64) m)) (patch (.f64 m (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (/ 1 m) 1)) (taylor -inf m) (#s(alt (.f64 m (-.f64 #s(literal 1 binary64) m)) (patch (.f64 m (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (/ 1 m) 1)) (taylor -inf m) (#s(alt (.f64 m (-.f64 #s(literal 1 binary64) m)) (patch (.f64 m (-.f64 #s(literal 1 binary64) m)) #<representation binary64>) () ())) ())
#s(alt (* -1 m) (taylor -inf m) (#s(alt (-.f64 #s(literal 1 binary64) m) (patch (-.f64 #s(literal 1 binary64) m) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (- 1 (/ 1 m)))) (taylor -inf m) (#s(alt (-.f64 #s(literal 1 binary64) m) (patch (-.f64 #s(literal 1 binary64) m) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (- 1 (/ 1 m)))) (taylor -inf m) (#s(alt (-.f64 #s(literal 1 binary64) m) (patch (-.f64 #s(literal 1 binary64) m) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (- 1 (/ 1 m)))) (taylor -inf m) (#s(alt (-.f64 #s(literal 1 binary64) m) (patch (-.f64 #s(literal 1 binary64) m) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	m	@	inf	((- (/ (* m (- 1 m)) v) 1) (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/ (* m (- 1 m)) v) (* m (- 1 m)) (- 1 m))
1.0ms	m	@	-inf	((- (/ (* m (- 1 m)) v) 1) (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/ (* m (- 1 m)) v) (* m (- 1 m)) (- 1 m))
1.0ms	v	@	0	((- (/ (* m (- 1 m)) v) 1) (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/ (* m (- 1 m)) v) (* m (- 1 m)) (- 1 m))
1.0ms	v	@	-inf	((- (/ (* m (- 1 m)) v) 1) (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/ (* m (- 1 m)) v) (* m (- 1 m)) (- 1 m))
1.0ms	v	@	inf	((- (/ (* m (- 1 m)) v) 1) (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/ (* m (- 1 m)) v) (* m (- 1 m)) (- 1 m))

simplify191.0ms (6.4%)

Memory

32.0MiB live, 187.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	781
1	303	755
2	882	742
3	3122	720
0	8559	689

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

Inputs
(/ (* m (- 1 m)) v)
(/ (+ (* -1 v) (* m (- 1 m))) v)
(/ (+ (* -1 v) (* m (- 1 m))) v)
(/ (+ (* -1 v) (* m (- 1 m))) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
-1
(- (/ (* m (- 1 m)) v) 1)
(- (/ (* m (- 1 m)) v) 1)
(- (/ (* m (- 1 m)) v) 1)
(* -1 (- 1 m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
-1
(- (/ (* m (- 1 m)) v) 1)
(- (/ (* m (- 1 m)) v) 1)
(- (/ (* m (- 1 m)) v) 1)
(* -1 (- 1 m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
(/ (* m (- 1 m)) v)
-1
(- (/ m v) 1)
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)
(- (* m (+ (* -1 (/ m v)) (/ 1 v))) 1)
-1
(- (* m (+ 1 (/ 1 v))) 1)
(- (* m (+ 1 (+ (* -2 (/ m v)) (/ 1 v)))) 1)
(- (* m (+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))) 1)
(/ m v)
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(* m (+ (* -1 (/ m v)) (/ 1 v)))
(* m (+ (* -1 (/ m v)) (/ 1 v)))
m
(* m (+ 1 (* -1 m)))
(* m (+ 1 (* -1 m)))
(* m (+ 1 (* -1 m)))
1
(+ 1 (* -1 m))
(+ 1 (* -1 m))
(+ 1 (* -1 m))
(* -1 (/ (pow m 2) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2)))))
(* (pow m 2) (- (/ 1 (* m v)) (+ (/ 1 v) (/ 1 (pow m 2)))))
(/ (pow m 3) v)
(* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (+ (/ 1 (pow m 3)) (/ 2 (* m v)))))
(* -1 (/ (pow m 2) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* -1 (pow m 2))
(* (pow m 2) (- (/ 1 m) 1))
(* (pow m 2) (- (/ 1 m) 1))
(* (pow m 2) (- (/ 1 m) 1))
(* -1 m)
(* m (- (/ 1 m) 1))
(* m (- (/ 1 m) 1))
(* m (- (/ 1 m) 1))
(* -1 (/ (pow m 2) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v)))
(* (pow m 2) (- (* -1 (/ (- (/ 1 m) (/ 1 v)) m)) (/ 1 v)))
(/ (pow m 3) v)
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 m) (+ 1 (/ 1 v))) m)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(* -1 (/ (pow m 2) v))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* (pow m 2) (- (/ 1 (* m v)) (/ 1 v)))
(* -1 (pow m 2))
(* (pow m 2) (- (/ 1 m) 1))
(* (pow m 2) (- (/ 1 m) 1))
(* (pow m 2) (- (/ 1 m) 1))
(* -1 m)
(* -1 (* m (- 1 (/ 1 m))))
(* -1 (* m (- 1 (/ 1 m))))
(* -1 (* m (- 1 (/ 1 m))))

Outputs
(/ (* m (- 1 m)) v)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m)
(/ (+ (* -1 v) (* m (- 1 m))) v)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64))
(/ (+ (* -1 v) (* m (- 1 m))) v)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64))
(/ (+ (* -1 v) (* m (- 1 m))) v)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m #s(literal -1 binary64))
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) m) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 m (fma.f64 m m v))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 m (fma.f64 m m v))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) m) (-.f64 m (fma.f64 m m v))) v)
(/ (* m (- 1 m)) v)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m)
(/ (* m (- 1 m)) v)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) m) v) m)
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rewrite130.0ms (4.3%)

Memory

-1.0MiB live, 118.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	37
0	13	37
1	54	37
2	436	37
3	6142	37
0	8889	33

Stop Event

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

Counts

5 → 581

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64))
(.f64 (-.f64 (/.f64 (.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))
(/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v)
(*.f64 m (-.f64 #s(literal 1 binary64) m))
(-.f64 #s(literal 1 binary64) m)

Outputs
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eval17.0ms (0.6%)

Memory: -11.7MiB live, 26.9MiB allocated
Compiler: Compiled 17 438 to 2 249 computations (87.1% saved)

prune1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	762	4	766
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	763	4	767

Accuracy

100.0%

Counts

767 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.4%	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64)))
▶	54.9%	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 m #s(literal 1 binary64)))
▶	51.6%	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64))))
▶	50.3%	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(literal -1 binary64))

Compiler

Compiled 24 to 24 computations (0% saved)

simplify128.0ms (4.3%)

Memory

18.6MiB live, 134.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	123
0	28	123
1	51	123
2	108	123
3	229	123
4	549	123
5	1721	123
6	4331	123
7	7488	123
0	8124	119

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64)))
(*.f64 (/.f64 m v) m)
(/.f64 m v)
m
v
(-.f64 m #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 m #s(literal 1 binary64)))
(-.f64 m #s(literal 1 binary64))
m
#s(literal 1 binary64)
#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64)))
(-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))
(+.f64 (/.f64 m v) m)
(/.f64 m v)
m
v
#s(literal 1 binary64)

Outputs
#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64))))
#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (.f64 (/.f64 (.f64 (-.f64 m #s(literal 2 binary64)) m) v) m))
(.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (-.f64 m #s(literal 2 binary64)) m) v) m)
(*.f64 (/.f64 m v) m)
(/.f64 m v)
m
v
(-.f64 m #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 m #s(literal 1 binary64)))
(-.f64 m #s(literal 1 binary64))
m
#s(literal 1 binary64)
#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64)))
(-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))
(+.f64 (/.f64 m v) m)
(/.f64 m v)
m
v
#s(literal 1 binary64)

localize1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 m v)
accuracy	0	(-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))
accuracy	0	(+.f64 (/.f64 m v) m)
accuracy	15.118969749710837	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64)))
accuracy	0	(-.f64 m #s(literal 1 binary64))
accuracy	28.879306111785553	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 m #s(literal 1 binary64)))
accuracy	0	(-.f64 m #s(literal 2 binary64))
accuracy	0	(*.f64 (/.f64 m v) m)
accuracy	0	(.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64)))
accuracy	30.999295214872664	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64))))
accuracy	31.79201147012877	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(literal -1 binary64))

Samples

0.0ms

4×

valid

Compiler

Compiled 172 to 35 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.6%)

Memory

-11.7MiB live, 26.4MiB allocated

Counts

11 → 240

Calls

Call 1

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

Outputs
#s(alt (/ (* m (pow (- 1 m) 2)) v) (taylor 0 v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(literal -1 binary64)) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v) (taylor 0 v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(literal -1 binary64)) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v) (taylor 0 v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(literal -1 binary64)) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v) (taylor 0 v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(literal -1 binary64)) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* m (pow (- 1 m) 2)) v) (taylor 0 v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v) (taylor 0 v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v) (taylor 0 v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v) (taylor 0 v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow m 2) (- m 2)) v) (taylor 0 v) (#s(alt (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64))) (patch (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow m 2) (- m 2)) v) (taylor 0 v) (#s(alt (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64))) (patch (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow m 2) (- m 2)) v) (taylor 0 v) (#s(alt (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64))) (patch (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow m 2) (- m 2)) v) (taylor 0 v) (#s(alt (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64))) (patch (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow m 2) v) (taylor 0 v) (#s(alt (.f64 (/.f64 m v) m) (patch (.f64 (/.f64 m v) m) #<representation binary64>) () ())) ())
#s(alt (/ (pow m 2) v) (taylor 0 v) (#s(alt (.f64 (/.f64 m v) m) (patch (.f64 (/.f64 m v) m) #<representation binary64>) () ())) ())
#s(alt (/ (pow m 2) v) (taylor 0 v) (#s(alt (.f64 (/.f64 m v) m) (patch (.f64 (/.f64 m v) m) #<representation binary64>) () ())) ())
#s(alt (/ (pow m 2) v) (taylor 0 v) (#s(alt (.f64 (/.f64 m v) m) (patch (.f64 (/.f64 m v) m) #<representation binary64>) () ())) ())
#s(alt (/ m v) (taylor 0 v) (#s(alt (/.f64 m v) (patch (/.f64 m v) #<representation binary64>) () ())) ())
#s(alt (/ m v) (taylor 0 v) (#s(alt (/.f64 m v) (patch (/.f64 m v) #<representation binary64>) () ())) ())
#s(alt (/ m v) (taylor 0 v) (#s(alt (/.f64 m v) (patch (/.f64 m v) #<representation binary64>) () ())) ())
#s(alt (/ m v) (taylor 0 v) (#s(alt (/.f64 m v) (patch (/.f64 m v) #<representation binary64>) () ())) ())
#s(alt (/ (* m (pow (- 1 m) 2)) v) (taylor 0 v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 m #s(literal 1 binary64))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 m #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v) (taylor 0 v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 m #s(literal 1 binary64))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 m #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v) (taylor 0 v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 m #s(literal 1 binary64))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 m #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v) (taylor 0 v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 m #s(literal 1 binary64))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 m #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* m (pow (- 1 m) 2)) v) (taylor 0 v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v) (taylor 0 v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v) (taylor 0 v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v) (taylor 0 v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ m v) (taylor 0 v) (#s(alt (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ m (* v (- m 1))) v) (taylor 0 v) (#s(alt (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ m (* v (- m 1))) v) (taylor 0 v) (#s(alt (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ m (* v (- m 1))) v) (taylor 0 v) (#s(alt (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ m v) (taylor 0 v) (#s(alt (+.f64 (/.f64 m v) m) (patch (+.f64 (/.f64 m v) m) #<representation binary64>) () ())) ())
#s(alt (/ (+ m (* m v)) v) (taylor 0 v) (#s(alt (+.f64 (/.f64 m v) m) (patch (+.f64 (/.f64 m v) m) #<representation binary64>) () ())) ())
#s(alt (/ (+ m (* m v)) v) (taylor 0 v) (#s(alt (+.f64 (/.f64 m v) m) (patch (+.f64 (/.f64 m v) m) #<representation binary64>) () ())) ())
#s(alt (/ (+ m (* m v)) v) (taylor 0 v) (#s(alt (+.f64 (/.f64 m v) m) (patch (+.f64 (/.f64 m v) m) #<representation binary64>) () ())) ())
#s(alt (* -1 (- 1 m)) (taylor inf v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(literal -1 binary64)) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v)) (taylor inf v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(literal -1 binary64)) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v)) (taylor inf v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(literal -1 binary64)) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v)) (taylor inf v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(literal -1 binary64)) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (- 1 m)) (taylor inf v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v)) (taylor inf v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v)) (taylor inf v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v)) (taylor inf v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow m 2) (- m 2)) v) (taylor inf v) (#s(alt (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64))) (patch (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 m) (+ 1 (/ 1 v))) m)) (* 2 (/ 1 v))) m)) (/ 1 v)))) (taylor -inf m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 m #s(literal 1 binary64))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 m #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt m (taylor -inf m) (#s(alt (-.f64 m #s(literal 1 binary64)) (patch (-.f64 m #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (- (/ 1 m) 1))) (taylor -inf m) (#s(alt (-.f64 m #s(literal 1 binary64)) (patch (-.f64 m #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (- (/ 1 m) 1))) (taylor -inf m) (#s(alt (-.f64 m #s(literal 1 binary64)) (patch (-.f64 m #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (- (/ 1 m) 1))) (taylor -inf m) (#s(alt (-.f64 m #s(literal 1 binary64)) (patch (-.f64 m #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow m 3) v) (taylor -inf m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v)))) (taylor -inf m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v)))) (taylor -inf m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 m) (+ 1 (/ 1 v))) m)) (* 2 (/ 1 v))) m)) (/ 1 v)))) (taylor -inf m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* m (+ 1 (/ 1 v))) (taylor -inf m) (#s(alt (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (- (/ 1 m) (+ 1 (/ 1 v))))) (taylor -inf m) (#s(alt (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (- (/ 1 m) (+ 1 (/ 1 v))))) (taylor -inf m) (#s(alt (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (- (/ 1 m) (+ 1 (/ 1 v))))) (taylor -inf m) (#s(alt (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* m (+ 1 (/ 1 v))) (taylor -inf m) (#s(alt (+.f64 (/.f64 m v) m) (patch (+.f64 (/.f64 m v) m) #<representation binary64>) () ())) ())
#s(alt (* m (+ 1 (/ 1 v))) (taylor -inf m) (#s(alt (+.f64 (/.f64 m v) m) (patch (+.f64 (/.f64 m v) m) #<representation binary64>) () ())) ())
#s(alt (* m (+ 1 (/ 1 v))) (taylor -inf m) (#s(alt (+.f64 (/.f64 m v) m) (patch (+.f64 (/.f64 m v) m) #<representation binary64>) () ())) ())
#s(alt (* m (+ 1 (/ 1 v))) (taylor -inf m) (#s(alt (+.f64 (/.f64 m v) m) (patch (+.f64 (/.f64 m v) m) #<representation binary64>) () ())) ())
#s(alt m (taylor -inf m) (#s(alt (-.f64 m #s(literal 2 binary64)) (patch (-.f64 m #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (- (* 2 (/ 1 m)) 1))) (taylor -inf m) (#s(alt (-.f64 m #s(literal 2 binary64)) (patch (-.f64 m #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (- (* 2 (/ 1 m)) 1))) (taylor -inf m) (#s(alt (-.f64 m #s(literal 2 binary64)) (patch (-.f64 m #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (- (* 2 (/ 1 m)) 1))) (taylor -inf m) (#s(alt (-.f64 m #s(literal 2 binary64)) (patch (-.f64 m #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	v	@	-inf	((* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (* (* (/ m v) m) (- m 2)) (* (/ m v) m) (/ m v) (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (- m 1) (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (- (+ (/ m v) m) 1) (+ (/ m v) m) (- m 2))
3.0ms	v	@	inf	((* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (* (* (/ m v) m) (- m 2)) (* (/ m v) m) (/ m v) (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (- m 1) (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (- (+ (/ m v) m) 1) (+ (/ m v) m) (- m 2))
2.0ms	v	@	0	((* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (* (* (/ m v) m) (- m 2)) (* (/ m v) m) (/ m v) (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (- m 1) (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (- (+ (/ m v) m) 1) (+ (/ m v) m) (- m 2))
2.0ms	m	@	-inf	((* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (* (* (/ m v) m) (- m 2)) (* (/ m v) m) (/ m v) (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (- m 1) (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (- (+ (/ m v) m) 1) (+ (/ m v) m) (- m 2))
1.0ms	m	@	inf	((* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (* (* (/ m v) m) (- m 2)) (* (/ m v) m) (/ m v) (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (- m 1) (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (- (+ (/ m v) m) 1) (+ (/ m v) m) (- m 2))

simplify167.0ms (5.5%)

Memory

0.2MiB live, 152.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	2054
1	289	2010
2	851	1974
3	2974	1934
4	7697	1886
0	8580	1840

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 234

Calls

Call 1

Inputs
(/ (* m (pow (- 1 m) 2)) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ (* (pow m 2) (- m 2)) v)
(/ (* (pow m 2) (- m 2)) v)
(/ (* (pow m 2) (- m 2)) v)
(/ (* (pow m 2) (- m 2)) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ m v)
(/ (+ m (* v (- m 1))) v)
(/ (+ m (* v (- m 1))) v)
(/ (+ m (* v (- m 1))) v)
(/ m v)
(/ (+ m (* m v)) v)
(/ (+ m (* m v)) v)
(/ (+ m (* m v)) v)
(* -1 (- 1 m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(* -1 (- 1 m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(/ (* (pow m 2) (- m 2)) v)
(/ (* (pow m 2) (- m 2)) v)
(/ (* (pow m 2) (- m 2)) v)
(/ (* (pow m 2) (- m 2)) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(* -1 (- 1 m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(* -1 (- 1 m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(- m 1)
(- (+ m (/ m v)) 1)
(- (+ m (/ m v)) 1)
(- (+ m (/ m v)) 1)
m
(+ m (/ m v))
(+ m (/ m v))
(+ m (/ m v))
(* -1 (- 1 m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(* -1 (- 1 m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(/ (* (pow m 2) (- m 2)) v)
(/ (* (pow m 2) (- m 2)) v)
(/ (* (pow m 2) (- m 2)) v)
(/ (* (pow m 2) (- m 2)) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(* -1 (- 1 m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(* -1 (- 1 m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(- m 1)
(- (+ m (/ m v)) 1)
(- (+ m (/ m v)) 1)
(- (+ m (/ m v)) 1)
m
(+ m (/ m v))
(+ m (/ m v))
(+ m (/ m v))
-1
(- (* m (+ 1 (/ 1 v))) 1)
(- (* m (+ 1 (+ (* -2 (/ m v)) (/ 1 v)))) 1)
(- (* m (+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))) 1)
-1
(- (* m (+ 1 (/ 1 v))) 1)
(- (* m (+ 1 (+ (* -2 (/ m v)) (/ 1 v)))) 1)
(- (* m (+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))) 1)
(* -2 (/ (pow m 2) v))
(* (pow m 2) (- (/ m v) (* 2 (/ 1 v))))
(* (pow m 2) (- (/ m v) (* 2 (/ 1 v))))
(* (pow m 2) (- (/ m v) (* 2 (/ 1 v))))
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
-1
(- (* m (+ 1 (/ 1 v))) 1)
(- (* m (+ 1 (+ (* -2 (/ m v)) (/ 1 v)))) 1)
(- (* m (+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))) 1)
-1
(- m 1)
(- m 1)
(- m 1)
-1
(- (* m (+ 1 (/ 1 v))) 1)
(- (* m (+ 1 (+ (* -2 (/ m v)) (/ 1 v)))) 1)
(- (* m (+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))) 1)
-1
(- (* m (+ 1 (/ 1 v))) 1)
(- (* m (+ 1 (/ 1 v))) 1)
(- (* m (+ 1 (/ 1 v))) 1)
(* m (+ 1 (/ 1 v)))
(* m (+ 1 (/ 1 v)))
(* m (+ 1 (/ 1 v)))
(* m (+ 1 (/ 1 v)))
-2
(- m 2)
(- m 2)
(- m 2)
(/ (pow m 3) v)
(* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (+ (/ 1 (pow m 3)) (/ 2 (* m v)))))
(/ (pow m 3) v)
(* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (+ (/ 1 (pow m 3)) (/ 2 (* m v)))))
(/ (pow m 3) v)
(* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ (pow m 3) v)
(* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (+ (/ 1 (pow m 3)) (/ 2 (* m v)))))
m
(* m (- 1 (/ 1 m)))
(* m (- 1 (/ 1 m)))
(* m (- 1 (/ 1 m)))
(/ (pow m 3) v)
(* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (+ (/ 1 (pow m 3)) (/ 2 (* m v)))))
(* m (+ 1 (/ 1 v)))
(* m (- (+ 1 (/ 1 v)) (/ 1 m)))
(* m (- (+ 1 (/ 1 v)) (/ 1 m)))
(* m (- (+ 1 (/ 1 v)) (/ 1 m)))
(* m (+ 1 (/ 1 v)))
(* m (+ 1 (/ 1 v)))
(* m (+ 1 (/ 1 v)))
(* m (+ 1 (/ 1 v)))
m
(* m (- 1 (* 2 (/ 1 m))))
(* m (- 1 (* 2 (/ 1 m))))
(* m (- 1 (* 2 (/ 1 m))))
(/ (pow m 3) v)
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 m) (+ 1 (/ 1 v))) m)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(/ (pow m 3) v)
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 m) (+ 1 (/ 1 v))) m)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(/ (pow m 3) v)
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ (pow m 2) v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ (pow m 3) v)
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 m) (+ 1 (/ 1 v))) m)) (* 2 (/ 1 v))) m)) (/ 1 v))))
m
(* -1 (* m (- (/ 1 m) 1)))
(* -1 (* m (- (/ 1 m) 1)))
(* -1 (* m (- (/ 1 m) 1)))
(/ (pow m 3) v)
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 m) (+ 1 (/ 1 v))) m)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(* m (+ 1 (/ 1 v)))
(* -1 (* m (- (/ 1 m) (+ 1 (/ 1 v)))))
(* -1 (* m (- (/ 1 m) (+ 1 (/ 1 v)))))
(* -1 (* m (- (/ 1 m) (+ 1 (/ 1 v)))))
(* m (+ 1 (/ 1 v)))
(* m (+ 1 (/ 1 v)))
(* m (+ 1 (/ 1 v)))
(* m (+ 1 (/ 1 v)))
m
(* -1 (* m (- (* 2 (/ 1 m)) 1)))
(* -1 (* m (- (* 2 (/ 1 m)) 1)))
(* -1 (* m (- (* 2 (/ 1 m)) 1)))

Outputs
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) m) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) m (neg.f64 v)) v))
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) m (neg.f64 v)) v))
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) m (neg.f64 v)) v))
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) m) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) m (neg.f64 v)) v))
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) m (neg.f64 v)) v))
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) m (neg.f64 v)) v))
(/ (* (pow m 2) (- m 2)) v)
(.f64 (/.f64 (-.f64 m #s(literal 2 binary64)) v) (.f64 m m))
(/ (* (pow m 2) (- m 2)) v)
(.f64 (/.f64 (-.f64 m #s(literal 2 binary64)) v) (.f64 m m))
(/ (* (pow m 2) (- m 2)) v)
(.f64 (/.f64 (-.f64 m #s(literal 2 binary64)) v) (.f64 m m))
(/ (* (pow m 2) (- m 2)) v)
(.f64 (/.f64 (-.f64 m #s(literal 2 binary64)) v) (.f64 m m))
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) m) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) m (neg.f64 v)) v))
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) m (neg.f64 v)) v))
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) m (neg.f64 v)) v))
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) m) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) m (neg.f64 v)) v))
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
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(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) v) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) m)) m)) m) (/.f64 #s(literal -1 binary64) v)) (pow.f64 m #s(literal 3 binary64)))
(/ (pow m 3) v)
(/.f64 (pow.f64 m #s(literal 3 binary64)) v)
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(.f64 (/.f64 (-.f64 m #s(literal 2 binary64)) v) (.f64 m m))
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(.f64 (/.f64 (-.f64 m #s(literal 2 binary64)) v) (.f64 m m))
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(.f64 (/.f64 (-.f64 m #s(literal 2 binary64)) v) (.f64 m m))
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ (pow m 2) v)
(/.f64 (*.f64 m m) v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ (pow m 3) v)
(/.f64 (pow.f64 m #s(literal 3 binary64)) v)
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(.f64 (/.f64 (-.f64 m #s(literal 2 binary64)) v) (.f64 m m))
(* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v))))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) m) m) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) m) #s(literal 1 binary64)) v)) (pow.f64 m #s(literal 3 binary64)))
(* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 m) (+ 1 (/ 1 v))) m)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) v) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) m)) m)) m) (/.f64 #s(literal -1 binary64) v)) (pow.f64 m #s(literal 3 binary64)))
m
(* -1 (* m (- (/ 1 m) 1)))
(-.f64 m #s(literal 1 binary64))
(* -1 (* m (- (/ 1 m) 1)))
(-.f64 m #s(literal 1 binary64))
(* -1 (* m (- (/ 1 m) 1)))
(-.f64 m #s(literal 1 binary64))
(/ (pow m 3) v)
(/.f64 (pow.f64 m #s(literal 3 binary64)) v)
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(.f64 (/.f64 (-.f64 m #s(literal 2 binary64)) v) (.f64 m m))
(* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v))))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) m) m) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) m) #s(literal 1 binary64)) v)) (pow.f64 m #s(literal 3 binary64)))
(* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 m) (+ 1 (/ 1 v))) m)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) v) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) m)) m)) m) (/.f64 #s(literal -1 binary64) v)) (pow.f64 m #s(literal 3 binary64)))
(* m (+ 1 (/ 1 v)))
(+.f64 (/.f64 m v) m)
(* -1 (* m (- (/ 1 m) (+ 1 (/ 1 v)))))
(-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))
(* -1 (* m (- (/ 1 m) (+ 1 (/ 1 v)))))
(-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))
(* -1 (* m (- (/ 1 m) (+ 1 (/ 1 v)))))
(-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))
(* m (+ 1 (/ 1 v)))
(+.f64 (/.f64 m v) m)
(* m (+ 1 (/ 1 v)))
(+.f64 (/.f64 m v) m)
(* m (+ 1 (/ 1 v)))
(+.f64 (/.f64 m v) m)
(* m (+ 1 (/ 1 v)))
(+.f64 (/.f64 m v) m)
m
(* -1 (* m (- (* 2 (/ 1 m)) 1)))
(-.f64 m #s(literal 2 binary64))
(* -1 (* m (- (* 2 (/ 1 m)) 1)))
(-.f64 m #s(literal 2 binary64))
(* -1 (* m (- (* 2 (/ 1 m)) 1)))
(-.f64 m #s(literal 2 binary64))

rewrite209.0ms (7%)

Memory

8.7MiB live, 170.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	111
0	28	111
1	123	111
2	1061	111
0	8235	107

Stop Event

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

Counts

11 → 399

Calls

Call 1

Inputs
#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(literal -1 binary64))
#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 m v) m) (-.f64 m #s(literal 2 binary64)))
(*.f64 (/.f64 m v) m)
(/.f64 m v)
#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 m #s(literal 1 binary64)))
(-.f64 m #s(literal 1 binary64))
#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64)))
(-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))
(+.f64 (/.f64 m v) m)
(-.f64 m #s(literal 2 binary64))

Outputs
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eval11.0ms (0.4%)

Memory: 17.1MiB live, 17.1MiB allocated
Compiler: Compiled 11 325 to 1 668 computations (85.3% saved)

prune3.0ms (0.1%)

Memory

-35.7MiB live, 2.7MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	675	2	677
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	677	4	681

Accuracy

100.0%

Counts

681 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64))))
✓	54.9%	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 m #s(literal 1 binary64)))
▶	27.5%	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v)))
✓	50.3%	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(literal -1 binary64))

Compiler

Compiled 20 to 21 computations (-5% saved)

simplify155.0ms (5.2%)

Memory

15.2MiB live, 129.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 m #s(literal -1 binary64))
cost-diff	0	(fma.f64 m m #s(literal -1 binary64))
cost-diff	0	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64))))
cost-diff	1088	(/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64)))
cost-diff	0	(/.f64 m v)
cost-diff	0	#s(approx (- (+ (/ m v) m) 1) (/.f64 m v))
cost-diff	0	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	80
0	24	80
1	42	80
2	79	80
3	170	70
4	470	70
5	1974	70
6	5958	70
0	8193	68

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v)))
#s(approx (- (+ (/ m v) m) 1) (/.f64 m v))
(/.f64 m v)
m
v
#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64))))
(/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64)))
(fma.f64 m m #s(literal -1 binary64))
m
#s(literal -1 binary64)
(-.f64 m #s(literal -1 binary64))

Outputs
#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v)))
#s(approx (- (+ (/ m v) m) 1) (/.f64 m v))
(/.f64 m v)
m
v
#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64))))
#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 m #s(literal 1 binary64)))
(/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64)))
(-.f64 m #s(literal 1 binary64))
(fma.f64 m m #s(literal -1 binary64))
m
#s(literal -1 binary64)
(-.f64 m #s(literal -1 binary64))

localize1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 m m #s(literal -1 binary64))
accuracy	0	(-.f64 m #s(literal -1 binary64))
accuracy	28.879306111785553	(/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64)))
accuracy	28.879306111785553	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64))))
accuracy	0	(/.f64 m v)
accuracy	15.118969749710837	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v)))
accuracy	31.268423744093276	#s(approx (- (+ (/ m v) m) 1) (/.f64 m v))

Samples

0.0ms

4×

valid

Compiler

Compiled 99 to 28 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.3%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

7 → 132

Calls

Call 1

Inputs
#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (/ m v) m) 1) (/.f64 m v)) (patch #s(approx (- (+ (/ m v) m) 1) (/.f64 m v)) #<representation binary64>) () ())
#s(alt (/.f64 m v) (patch (/.f64 m v) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64))) (patch (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 m m #s(literal -1 binary64)) (patch (fma.f64 m m #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 m #s(literal -1 binary64)) (patch (-.f64 m #s(literal -1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ (* m (pow (- 1 m) 2)) v) (taylor 0 v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v) (taylor 0 v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v) (taylor 0 v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v) (taylor 0 v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v))) #<representation binary64>) () ())) ())
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#s(alt m (taylor inf m) (#s(alt (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64))) (patch (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* m (- 1 (/ 1 m))) (taylor inf m) (#s(alt (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64))) (patch (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* m (- 1 (/ 1 m))) (taylor inf m) (#s(alt (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64))) (patch (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* m (- 1 (/ 1 m))) (taylor inf m) (#s(alt (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64))) (patch (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow m 3) v) (taylor inf m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v))))) (taylor inf m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v)))) (taylor inf m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (+ (/ 1 (pow m 3)) (/ 2 (* m v))))) (taylor inf m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow m 2) (taylor inf m) (#s(alt (fma.f64 m m #s(literal -1 binary64)) (patch (fma.f64 m m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- 1 (/ 1 (pow m 2)))) (taylor inf m) (#s(alt (fma.f64 m m #s(literal -1 binary64)) (patch (fma.f64 m m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- 1 (/ 1 (pow m 2)))) (taylor inf m) (#s(alt (fma.f64 m m #s(literal -1 binary64)) (patch (fma.f64 m m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- 1 (/ 1 (pow m 2)))) (taylor inf m) (#s(alt (fma.f64 m m #s(literal -1 binary64)) (patch (fma.f64 m m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt m (taylor inf m) (#s(alt (-.f64 m #s(literal -1 binary64)) (patch (-.f64 m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* m (+ 1 (/ 1 m))) (taylor inf m) (#s(alt (-.f64 m #s(literal -1 binary64)) (patch (-.f64 m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* m (+ 1 (/ 1 m))) (taylor inf m) (#s(alt (-.f64 m #s(literal -1 binary64)) (patch (-.f64 m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* m (+ 1 (/ 1 m))) (taylor inf m) (#s(alt (-.f64 m #s(literal -1 binary64)) (patch (-.f64 m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow m 3) v) (taylor -inf m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v)))) (taylor -inf m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v)))) (taylor -inf m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 m) (+ 1 (/ 1 v))) m)) (* 2 (/ 1 v))) m)) (/ 1 v)))) (taylor -inf m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v))) #<representation binary64>) () ())) ())
#s(alt (* m (+ 1 (/ 1 v))) (taylor -inf m) (#s(alt #s(approx (- (+ (/ m v) m) 1) (/.f64 m v)) (patch #s(approx (- (+ (/ m v) m) 1) (/.f64 m v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (- (/ 1 m) (+ 1 (/ 1 v))))) (taylor -inf m) (#s(alt #s(approx (- (+ (/ m v) m) 1) (/.f64 m v)) (patch #s(approx (- (+ (/ m v) m) 1) (/.f64 m v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (- (/ 1 m) (+ 1 (/ 1 v))))) (taylor -inf m) (#s(alt #s(approx (- (+ (/ m v) m) 1) (/.f64 m v)) (patch #s(approx (- (+ (/ m v) m) 1) (/.f64 m v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (- (/ 1 m) (+ 1 (/ 1 v))))) (taylor -inf m) (#s(alt #s(approx (- (+ (/ m v) m) 1) (/.f64 m v)) (patch #s(approx (- (+ (/ m v) m) 1) (/.f64 m v)) #<representation binary64>) () ())) ())
#s(alt (/ m v) (taylor -inf m) (#s(alt (/.f64 m v) (patch (/.f64 m v) #<representation binary64>) () ())) ())
#s(alt (/ m v) (taylor -inf m) (#s(alt (/.f64 m v) (patch (/.f64 m v) #<representation binary64>) () ())) ())
#s(alt (/ m v) (taylor -inf m) (#s(alt (/.f64 m v) (patch (/.f64 m v) #<representation binary64>) () ())) ())
#s(alt (/ m v) (taylor -inf m) (#s(alt (/.f64 m v) (patch (/.f64 m v) #<representation binary64>) () ())) ())
#s(alt m (taylor -inf m) (#s(alt (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64))) (patch (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (- (/ 1 m) 1))) (taylor -inf m) (#s(alt (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64))) (patch (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (- (/ 1 m) 1))) (taylor -inf m) (#s(alt (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64))) (patch (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (- (/ 1 m) 1))) (taylor -inf m) (#s(alt (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64))) (patch (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow m 3) v) (taylor -inf m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v)))) (taylor -inf m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v)))) (taylor -inf m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 m) (+ 1 (/ 1 v))) m)) (* 2 (/ 1 v))) m)) (/ 1 v)))) (taylor -inf m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow m 2) (taylor -inf m) (#s(alt (fma.f64 m m #s(literal -1 binary64)) (patch (fma.f64 m m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- 1 (/ 1 (pow m 2)))) (taylor -inf m) (#s(alt (fma.f64 m m #s(literal -1 binary64)) (patch (fma.f64 m m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- 1 (/ 1 (pow m 2)))) (taylor -inf m) (#s(alt (fma.f64 m m #s(literal -1 binary64)) (patch (fma.f64 m m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- 1 (/ 1 (pow m 2)))) (taylor -inf m) (#s(alt (fma.f64 m m #s(literal -1 binary64)) (patch (fma.f64 m m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt m (taylor -inf m) (#s(alt (-.f64 m #s(literal -1 binary64)) (patch (-.f64 m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* m (+ 1 (/ 1 m))) (taylor -inf m) (#s(alt (-.f64 m #s(literal -1 binary64)) (patch (-.f64 m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* m (+ 1 (/ 1 m))) (taylor -inf m) (#s(alt (-.f64 m #s(literal -1 binary64)) (patch (-.f64 m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* m (+ 1 (/ 1 m))) (taylor -inf m) (#s(alt (-.f64 m #s(literal -1 binary64)) (patch (-.f64 m #s(literal -1 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	m	@	-inf	((* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (- (+ (/ m v) m) 1) (/ m v) (/ (+ (* m m) -1) (- m -1)) (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (+ (* m m) -1) (- m -1))
1.0ms	m	@	inf	((* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (- (+ (/ m v) m) 1) (/ m v) (/ (+ (* m m) -1) (- m -1)) (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (+ (* m m) -1) (- m -1))
1.0ms	v	@	-inf	((* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (- (+ (/ m v) m) 1) (/ m v) (/ (+ (* m m) -1) (- m -1)) (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (+ (* m m) -1) (- m -1))
1.0ms	v	@	0	((* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (- (+ (/ m v) m) 1) (/ m v) (/ (+ (* m m) -1) (- m -1)) (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (+ (* m m) -1) (- m -1))
1.0ms	m	@	0	((* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (- (+ (/ m v) m) 1) (/ m v) (/ (+ (* m m) -1) (- m -1)) (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (+ (* m m) -1) (- m -1))

simplify143.0ms (4.7%)

Memory

12.2MiB live, 131.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	1020
1	272	998
2	808	980
3	2898	964
4	7491	932
0	8374	900

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 128

Calls

Call 1

Inputs
(/ (* m (pow (- 1 m) 2)) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ m v)
(/ (+ m (* v (- m 1))) v)
(/ (+ m (* v (- m 1))) v)
(/ (+ m (* v (- m 1))) v)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(/ (* m (pow (- 1 m) 2)) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(* -1 (- 1 m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(- m 1)
(- (+ m (/ m v)) 1)
(- (+ m (/ m v)) 1)
(- (+ m (/ m v)) 1)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(* -1 (- 1 m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(* -1 (- 1 m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(- m 1)
(- (+ m (/ m v)) 1)
(- (+ m (/ m v)) 1)
(- (+ m (/ m v)) 1)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
(* -1 (- 1 m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
-1
(- (* m (+ 1 (/ 1 v))) 1)
(- (* m (+ 1 (+ (* -2 (/ m v)) (/ 1 v)))) 1)
(- (* m (+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))) 1)
-1
(- (* m (+ 1 (/ 1 v))) 1)
(- (* m (+ 1 (/ 1 v))) 1)
(- (* m (+ 1 (/ 1 v))) 1)
(/ m v)
(/ m v)
(/ m v)
(/ m v)
-1
(- m 1)
(- m 1)
(- m 1)
-1
(- (* m (+ 1 (/ 1 v))) 1)
(- (* m (+ 1 (+ (* -2 (/ m v)) (/ 1 v)))) 1)
(- (* m (+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))) 1)
-1
(- (pow m 2) 1)
(- (pow m 2) 1)
(- (pow m 2) 1)
1
(+ 1 m)
(+ 1 m)
(+ 1 m)
(/ (pow m 3) v)
(* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (+ (/ 1 (pow m 3)) (/ 2 (* m v)))))
(* m (+ 1 (/ 1 v)))
(* m (- (+ 1 (/ 1 v)) (/ 1 m)))
(* m (- (+ 1 (/ 1 v)) (/ 1 m)))
(* m (- (+ 1 (/ 1 v)) (/ 1 m)))
(/ m v)
(/ m v)
(/ m v)
(/ m v)
m
(* m (- 1 (/ 1 m)))
(* m (- 1 (/ 1 m)))
(* m (- 1 (/ 1 m)))
(/ (pow m 3) v)
(* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (+ (/ 1 (pow m 3)) (/ 2 (* m v)))))
(pow m 2)
(* (pow m 2) (- 1 (/ 1 (pow m 2))))
(* (pow m 2) (- 1 (/ 1 (pow m 2))))
(* (pow m 2) (- 1 (/ 1 (pow m 2))))
m
(* m (+ 1 (/ 1 m)))
(* m (+ 1 (/ 1 m)))
(* m (+ 1 (/ 1 m)))
(/ (pow m 3) v)
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 m) (+ 1 (/ 1 v))) m)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(* m (+ 1 (/ 1 v)))
(* -1 (* m (- (/ 1 m) (+ 1 (/ 1 v)))))
(* -1 (* m (- (/ 1 m) (+ 1 (/ 1 v)))))
(* -1 (* m (- (/ 1 m) (+ 1 (/ 1 v)))))
(/ m v)
(/ m v)
(/ m v)
(/ m v)
m
(* -1 (* m (- (/ 1 m) 1)))
(* -1 (* m (- (/ 1 m) 1)))
(* -1 (* m (- (/ 1 m) 1)))
(/ (pow m 3) v)
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 m) (+ 1 (/ 1 v))) m)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(pow m 2)
(* (pow m 2) (- 1 (/ 1 (pow m 2))))
(* (pow m 2) (- 1 (/ 1 (pow m 2))))
(* (pow m 2) (- 1 (/ 1 (pow m 2))))
m
(* m (+ 1 (/ 1 m)))
(* m (+ 1 (/ 1 m)))
(* m (+ 1 (/ 1 m)))

Outputs
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) m) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) m (neg.f64 v)) v))
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) m (neg.f64 v)) v))
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) m (neg.f64 v)) v))
(/ m v)
(/.f64 m v)
(/ (+ m (* v (- m 1))) v)
(/.f64 (fma.f64 (-.f64 m #s(literal 1 binary64)) v m) v)
(/ (+ m (* v (- m 1))) v)
(/.f64 (fma.f64 (-.f64 m #s(literal 1 binary64)) v m) v)
(/ (+ m (* v (- m 1))) v)
(/.f64 (fma.f64 (-.f64 m #s(literal 1 binary64)) v m) v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) m) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) m (neg.f64 v)) v))
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) m (neg.f64 v)) v))
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) m (neg.f64 v)) v))
(* -1 (- 1 m))
(-.f64 m #s(literal 1 binary64))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) v) m (-.f64 m #s(literal 1 binary64)))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) v) m (-.f64 m #s(literal 1 binary64)))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) v) m (-.f64 m #s(literal 1 binary64)))
(- m 1)
(-.f64 m #s(literal 1 binary64))
(- (+ m (/ m v)) 1)
(-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))
(- (+ m (/ m v)) 1)
(-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))
(- (+ m (/ m v)) 1)
(-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(* -1 (- 1 m))
(-.f64 m #s(literal 1 binary64))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) v) m (-.f64 m #s(literal 1 binary64)))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) v) m (-.f64 m #s(literal 1 binary64)))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) v) m (-.f64 m #s(literal 1 binary64)))
(* -1 (- 1 m))
(-.f64 m #s(literal 1 binary64))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) v) m (-.f64 m #s(literal 1 binary64)))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) v) m (-.f64 m #s(literal 1 binary64)))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) v) m (-.f64 m #s(literal 1 binary64)))
(- m 1)
(-.f64 m #s(literal 1 binary64))
(- (+ m (/ m v)) 1)
(-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))
(- (+ m (/ m v)) 1)
(-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))
(- (+ m (/ m v)) 1)
(-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(* -1 (- 1 m))
(-.f64 m #s(literal 1 binary64))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) v) m (-.f64 m #s(literal 1 binary64)))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) v) m (-.f64 m #s(literal 1 binary64)))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) v) m (-.f64 m #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* m (+ 1 (/ 1 v))) 1)
(-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))
(- (* m (+ 1 (+ (* -2 (/ m v)) (/ 1 v)))) 1)
(fma.f64 (fma.f64 #s(literal -2 binary64) m #s(literal 1 binary64)) (/.f64 m v) (-.f64 m #s(literal 1 binary64)))
(- (* m (+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))) 1)
(fma.f64 (fma.f64 (/.f64 m v) (-.f64 m #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64))) m #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* m (+ 1 (/ 1 v))) 1)
(-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))
(- (* m (+ 1 (/ 1 v))) 1)
(-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))
(- (* m (+ 1 (/ 1 v))) 1)
(-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
-1
#s(literal -1 binary64)
(- m 1)
(-.f64 m #s(literal 1 binary64))
(- m 1)
(-.f64 m #s(literal 1 binary64))
(- m 1)
(-.f64 m #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* m (+ 1 (/ 1 v))) 1)
(-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))
(- (* m (+ 1 (+ (* -2 (/ m v)) (/ 1 v)))) 1)
(fma.f64 (fma.f64 #s(literal -2 binary64) m #s(literal 1 binary64)) (/.f64 m v) (-.f64 m #s(literal 1 binary64)))
(- (* m (+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))) 1)
(fma.f64 (fma.f64 (/.f64 m v) (-.f64 m #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64))) m #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (pow m 2) 1)
(fma.f64 m m #s(literal -1 binary64))
(- (pow m 2) 1)
(fma.f64 m m #s(literal -1 binary64))
(- (pow m 2) 1)
(fma.f64 m m #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 m)
(+.f64 #s(literal 1 binary64) m)
(+ 1 m)
(+.f64 #s(literal 1 binary64) m)
(+ 1 m)
(+.f64 #s(literal 1 binary64) m)
(/ (pow m 3) v)
(/.f64 (pow.f64 m #s(literal 3 binary64)) v)
(* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(*.f64 (/.f64 (pow.f64 (neg.f64 m) #s(literal 3 binary64)) v) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) m)))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) m) (/.f64 #s(literal 2 binary64) v)) m) (/.f64 #s(literal -1 binary64) v)) (pow.f64 m #s(literal 3 binary64)))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (+ (/ 1 (pow m 3)) (/ 2 (* m v)))))
(*.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) m) (/.f64 #s(literal 2 binary64) v)) m) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal 1 binary64) (pow.f64 m #s(literal 3 binary64)))) (pow.f64 m #s(literal 3 binary64)))
(* m (+ 1 (/ 1 v)))
(+.f64 (/.f64 m v) m)
(* m (- (+ 1 (/ 1 v)) (/ 1 m)))
(-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))
(* m (- (+ 1 (/ 1 v)) (/ 1 m)))
(-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))
(* m (- (+ 1 (/ 1 v)) (/ 1 m)))
(-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
m
(* m (- 1 (/ 1 m)))
(-.f64 m #s(literal 1 binary64))
(* m (- 1 (/ 1 m)))
(-.f64 m #s(literal 1 binary64))
(* m (- 1 (/ 1 m)))
(-.f64 m #s(literal 1 binary64))
(/ (pow m 3) v)
(/.f64 (pow.f64 m #s(literal 3 binary64)) v)
(* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(*.f64 (/.f64 (pow.f64 (neg.f64 m) #s(literal 3 binary64)) v) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) m)))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) m) (/.f64 #s(literal 2 binary64) v)) m) (/.f64 #s(literal -1 binary64) v)) (pow.f64 m #s(literal 3 binary64)))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (+ (/ 1 (pow m 3)) (/ 2 (* m v)))))
(*.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) m) (/.f64 #s(literal 2 binary64) v)) m) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal 1 binary64) (pow.f64 m #s(literal 3 binary64)))) (pow.f64 m #s(literal 3 binary64)))
(pow m 2)
(*.f64 m m)
(* (pow m 2) (- 1 (/ 1 (pow m 2))))
(fma.f64 m m #s(literal -1 binary64))
(* (pow m 2) (- 1 (/ 1 (pow m 2))))
(fma.f64 m m #s(literal -1 binary64))
(* (pow m 2) (- 1 (/ 1 (pow m 2))))
(fma.f64 m m #s(literal -1 binary64))
m
(* m (+ 1 (/ 1 m)))
(+.f64 #s(literal 1 binary64) m)
(* m (+ 1 (/ 1 m)))
(+.f64 #s(literal 1 binary64) m)
(* m (+ 1 (/ 1 m)))
(+.f64 #s(literal 1 binary64) m)
(/ (pow m 3) v)
(/.f64 (pow.f64 m #s(literal 3 binary64)) v)
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(*.f64 (/.f64 (pow.f64 (neg.f64 m) #s(literal 3 binary64)) v) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) m)))
(* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) m) (/.f64 #s(literal 2 binary64) v)) m) (/.f64 #s(literal -1 binary64) v)) (pow.f64 m #s(literal 3 binary64)))
(* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 m) (+ 1 (/ 1 v))) m)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) v) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) m)) m)) m) (/.f64 #s(literal -1 binary64) v)) (pow.f64 m #s(literal 3 binary64)))
(* m (+ 1 (/ 1 v)))
(+.f64 (/.f64 m v) m)
(* -1 (* m (- (/ 1 m) (+ 1 (/ 1 v)))))
(-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))
(* -1 (* m (- (/ 1 m) (+ 1 (/ 1 v)))))
(-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))
(* -1 (* m (- (/ 1 m) (+ 1 (/ 1 v)))))
(-.f64 (+.f64 (/.f64 m v) m) #s(literal 1 binary64))
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
(/ m v)
(/.f64 m v)
m
(* -1 (* m (- (/ 1 m) 1)))
(-.f64 m #s(literal 1 binary64))
(* -1 (* m (- (/ 1 m) 1)))
(-.f64 m #s(literal 1 binary64))
(* -1 (* m (- (/ 1 m) 1)))
(-.f64 m #s(literal 1 binary64))
(/ (pow m 3) v)
(/.f64 (pow.f64 m #s(literal 3 binary64)) v)
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(*.f64 (/.f64 (pow.f64 (neg.f64 m) #s(literal 3 binary64)) v) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) m)))
(* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) m) (/.f64 #s(literal 2 binary64) v)) m) (/.f64 #s(literal -1 binary64) v)) (pow.f64 m #s(literal 3 binary64)))
(* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 m) (+ 1 (/ 1 v))) m)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) v) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) m)) m)) m) (/.f64 #s(literal -1 binary64) v)) (pow.f64 m #s(literal 3 binary64)))
(pow m 2)
(*.f64 m m)
(* (pow m 2) (- 1 (/ 1 (pow m 2))))
(fma.f64 m m #s(literal -1 binary64))
(* (pow m 2) (- 1 (/ 1 (pow m 2))))
(fma.f64 m m #s(literal -1 binary64))
(* (pow m 2) (- 1 (/ 1 (pow m 2))))
(fma.f64 m m #s(literal -1 binary64))
m
(* m (+ 1 (/ 1 m)))
(+.f64 #s(literal 1 binary64) m)
(* m (+ 1 (/ 1 m)))
(+.f64 #s(literal 1 binary64) m)
(* m (+ 1 (/ 1 m)))
(+.f64 #s(literal 1 binary64) m)

rewrite149.0ms (5%)

Memory

-7.0MiB live, 146.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	76
0	24	76
1	124	66
2	1090	66
0	8239	64

Stop Event

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

Counts

7 → 217

Calls

Call 1

Inputs
#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v)))
#s(approx (- (+ (/ m v) m) 1) (/.f64 m v))
(/.f64 m v)
(/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64)))
#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) (-.f64 m #s(literal -1 binary64))))
(fma.f64 m m #s(literal -1 binary64))
(-.f64 m #s(literal -1 binary64))

Outputs
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eval5.0ms (0.2%)

Memory: 7.8MiB live, 7.8MiB allocated
Compiler: Compiled 5 423 to 961 computations (82.3% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	344	1	345
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	345	4	349

Accuracy

100.0%

Counts

349 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))))
✓	54.9%	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 m #s(literal 1 binary64)))
✓	27.5%	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v)))
✓	50.3%	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(literal -1 binary64))

Compiler

Compiled 19 to 22 computations (-15.8% saved)

simplify110.0ms (3.7%)

Memory

11.9MiB live, 87.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (- m -1) #s(literal 1 binary64))
cost-diff	0	(fma.f64 m m #s(literal -1 binary64))
cost-diff	0	(/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))
cost-diff	0	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46
0	17	46
1	32	46
2	64	46
3	150	46
4	447	46
5	1728	46
6	4261	46
7	7423	46
0	8041	45

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))))
(/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))
(fma.f64 m m #s(literal -1 binary64))
m
#s(literal -1 binary64)
#s(approx (- m -1) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))))
(/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))
(fma.f64 m m #s(literal -1 binary64))
m
#s(literal -1 binary64)
#s(approx (- m -1) #s(literal 1 binary64))
#s(literal 1 binary64)

localize1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 m m #s(literal -1 binary64))
accuracy	28.879306111785553	(/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))
accuracy	28.879306111785553	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))))
accuracy	30.788307307389385	#s(approx (- m -1) #s(literal 1 binary64))

Samples

0.0ms

4×

valid

Compiler

Compiled 59 to 23 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

-32.8MiB live, 5.5MiB allocated

Counts

4 → 60

Calls

Call 1

Inputs
#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 m m #s(literal -1 binary64)) (patch (fma.f64 m m #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- m -1) #s(literal 1 binary64)) (patch #s(approx (- m -1) #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ (* m (pow (- 1 m) 2)) v) (taylor 0 v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v) (taylor 0 v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v) (taylor 0 v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v) (taylor 0 v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (- 1 m)) (taylor inf v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v)) (taylor inf v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v)) (taylor inf v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v)) (taylor inf v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (- 1 m)) (taylor -inf v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v)) (taylor -inf v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v)) (taylor -inf v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v)) (taylor -inf v) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* m (+ 1 (/ 1 v))) 1) (taylor 0 m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* m (+ 1 (+ (* -2 (/ m v)) (/ 1 v)))) 1) (taylor 0 m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* m (+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))) 1) (taylor 0 m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 m) (#s(alt (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- m 1) (taylor 0 m) (#s(alt (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- m 1) (taylor 0 m) (#s(alt (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- m 1) (taylor 0 m) (#s(alt (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 m) (#s(alt (fma.f64 m m #s(literal -1 binary64)) (patch (fma.f64 m m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow m 2) 1) (taylor 0 m) (#s(alt (fma.f64 m m #s(literal -1 binary64)) (patch (fma.f64 m m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow m 2) 1) (taylor 0 m) (#s(alt (fma.f64 m m #s(literal -1 binary64)) (patch (fma.f64 m m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow m 2) 1) (taylor 0 m) (#s(alt (fma.f64 m m #s(literal -1 binary64)) (patch (fma.f64 m m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 m) (#s(alt #s(approx (- m -1) #s(literal 1 binary64)) (patch #s(approx (- m -1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 m) (taylor 0 m) (#s(alt #s(approx (- m -1) #s(literal 1 binary64)) (patch #s(approx (- m -1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 m) (taylor 0 m) (#s(alt #s(approx (- m -1) #s(literal 1 binary64)) (patch #s(approx (- m -1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 m) (taylor 0 m) (#s(alt #s(approx (- m -1) #s(literal 1 binary64)) (patch #s(approx (- m -1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow m 3) v) (taylor inf m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v))))) (taylor inf m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v)))) (taylor inf m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (+ (/ 1 (pow m 3)) (/ 2 (* m v))))) (taylor inf m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt m (taylor inf m) (#s(alt (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* m (- 1 (/ 1 m))) (taylor inf m) (#s(alt (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* m (- 1 (/ 1 m))) (taylor inf m) (#s(alt (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* m (- 1 (/ 1 m))) (taylor inf m) (#s(alt (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow m 2) (taylor inf m) (#s(alt (fma.f64 m m #s(literal -1 binary64)) (patch (fma.f64 m m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- 1 (/ 1 (pow m 2)))) (taylor inf m) (#s(alt (fma.f64 m m #s(literal -1 binary64)) (patch (fma.f64 m m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- 1 (/ 1 (pow m 2)))) (taylor inf m) (#s(alt (fma.f64 m m #s(literal -1 binary64)) (patch (fma.f64 m m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- 1 (/ 1 (pow m 2)))) (taylor inf m) (#s(alt (fma.f64 m m #s(literal -1 binary64)) (patch (fma.f64 m m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt m (taylor inf m) (#s(alt #s(approx (- m -1) #s(literal 1 binary64)) (patch #s(approx (- m -1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* m (+ 1 (/ 1 m))) (taylor inf m) (#s(alt #s(approx (- m -1) #s(literal 1 binary64)) (patch #s(approx (- m -1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* m (+ 1 (/ 1 m))) (taylor inf m) (#s(alt #s(approx (- m -1) #s(literal 1 binary64)) (patch #s(approx (- m -1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* m (+ 1 (/ 1 m))) (taylor inf m) (#s(alt #s(approx (- m -1) #s(literal 1 binary64)) (patch #s(approx (- m -1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow m 3) v) (taylor -inf m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v)))) (taylor -inf m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v)))) (taylor -inf m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 m) (+ 1 (/ 1 v))) m)) (* 2 (/ 1 v))) m)) (/ 1 v)))) (taylor -inf m) (#s(alt #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) (patch #s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt m (taylor -inf m) (#s(alt (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (- (/ 1 m) 1))) (taylor -inf m) (#s(alt (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (- (/ 1 m) 1))) (taylor -inf m) (#s(alt (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (- (/ 1 m) 1))) (taylor -inf m) (#s(alt (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow m 2) (taylor -inf m) (#s(alt (fma.f64 m m #s(literal -1 binary64)) (patch (fma.f64 m m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- 1 (/ 1 (pow m 2)))) (taylor -inf m) (#s(alt (fma.f64 m m #s(literal -1 binary64)) (patch (fma.f64 m m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- 1 (/ 1 (pow m 2)))) (taylor -inf m) (#s(alt (fma.f64 m m #s(literal -1 binary64)) (patch (fma.f64 m m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- 1 (/ 1 (pow m 2)))) (taylor -inf m) (#s(alt (fma.f64 m m #s(literal -1 binary64)) (patch (fma.f64 m m #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt m (taylor -inf m) (#s(alt #s(approx (- m -1) #s(literal 1 binary64)) (patch #s(approx (- m -1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* m (+ 1 (/ 1 m))) (taylor -inf m) (#s(alt #s(approx (- m -1) #s(literal 1 binary64)) (patch #s(approx (- m -1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* m (+ 1 (/ 1 m))) (taylor -inf m) (#s(alt #s(approx (- m -1) #s(literal 1 binary64)) (patch #s(approx (- m -1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* m (+ 1 (/ 1 m))) (taylor -inf m) (#s(alt #s(approx (- m -1) #s(literal 1 binary64)) (patch #s(approx (- m -1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	m	@	-inf	((* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/ (+ (* m m) -1) (- m -1)) (+ (* m m) -1) (- m -1))
1.0ms	m	@	inf	((* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/ (+ (* m m) -1) (- m -1)) (+ (* m m) -1) (- m -1))
0.0ms	v	@	0	((* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/ (+ (* m m) -1) (- m -1)) (+ (* m m) -1) (- m -1))
0.0ms	v	@	-inf	((* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/ (+ (* m m) -1) (- m -1)) (+ (* m m) -1) (- m -1))
0.0ms	v	@	inf	((* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/ (+ (* m m) -1) (- m -1)) (+ (* m m) -1) (- m -1))

simplify220.0ms (7.3%)

Memory

5.3MiB live, 139.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	465
1	249	454
2	748	434
3	2751	426
4	7360	410
0	8163	391

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 56

Calls

Call 1

Inputs
(/ (* m (pow (- 1 m) 2)) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(* -1 (- 1 m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(* -1 (- 1 m))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
-1
(- (* m (+ 1 (/ 1 v))) 1)
(- (* m (+ 1 (+ (* -2 (/ m v)) (/ 1 v)))) 1)
(- (* m (+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))) 1)
-1
(- m 1)
(- m 1)
(- m 1)
-1
(- (pow m 2) 1)
(- (pow m 2) 1)
(- (pow m 2) 1)
1
(+ 1 m)
(+ 1 m)
(+ 1 m)
(/ (pow m 3) v)
(* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v))))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (+ (/ 1 (pow m 3)) (/ 2 (* m v)))))
m
(* m (- 1 (/ 1 m)))
(* m (- 1 (/ 1 m)))
(* m (- 1 (/ 1 m)))
(pow m 2)
(* (pow m 2) (- 1 (/ 1 (pow m 2))))
(* (pow m 2) (- 1 (/ 1 (pow m 2))))
(* (pow m 2) (- 1 (/ 1 (pow m 2))))
m
(* m (+ 1 (/ 1 m)))
(* m (+ 1 (/ 1 m)))
(* m (+ 1 (/ 1 m)))
(/ (pow m 3) v)
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v))))
(* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 m) (+ 1 (/ 1 v))) m)) (* 2 (/ 1 v))) m)) (/ 1 v))))
m
(* -1 (* m (- (/ 1 m) 1)))
(* -1 (* m (- (/ 1 m) 1)))
(* -1 (* m (- (/ 1 m) 1)))
(pow m 2)
(* (pow m 2) (- 1 (/ 1 (pow m 2))))
(* (pow m 2) (- 1 (/ 1 (pow m 2))))
(* (pow m 2) (- 1 (/ 1 (pow m 2))))
m
(* m (+ 1 (/ 1 m)))
(* m (+ 1 (/ 1 m)))
(* m (+ 1 (/ 1 m)))

Outputs
(/ (* m (pow (- 1 m) 2)) v)
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) m) v)
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) m (neg.f64 v)) v))
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) m (neg.f64 v)) v))
(/ (+ (* -1 (* v (- 1 m))) (* m (pow (- 1 m) 2))) v)
(*.f64 (-.f64 #s(literal 1 binary64) m) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) m) m (neg.f64 v)) v))
(* -1 (- 1 m))
(-.f64 m #s(literal 1 binary64))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) v) m (-.f64 m #s(literal 1 binary64)))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) v) m (-.f64 m #s(literal 1 binary64)))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) v) m (-.f64 m #s(literal 1 binary64)))
(* -1 (- 1 m))
(-.f64 m #s(literal 1 binary64))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) v) m (-.f64 m #s(literal 1 binary64)))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) v) m (-.f64 m #s(literal 1 binary64)))
(+ (* -1 (- 1 m)) (/ (* m (pow (- 1 m) 2)) v))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) m) #s(literal 2 binary64)) v) m (-.f64 m #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* m (+ 1 (/ 1 v))) 1)
(-.f64 (/.f64 m v) (-.f64 #s(literal 1 binary64) m))
(- (* m (+ 1 (+ (* -2 (/ m v)) (/ 1 v)))) 1)
(fma.f64 (fma.f64 #s(literal -2 binary64) m #s(literal 1 binary64)) (/.f64 m v) (-.f64 m #s(literal 1 binary64)))
(- (* m (+ 1 (+ (* m (- (/ m v) (* 2 (/ 1 v)))) (/ 1 v)))) 1)
(fma.f64 (fma.f64 (/.f64 m v) (-.f64 m #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) v)) m (-.f64 m #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- m 1)
(-.f64 m #s(literal 1 binary64))
(- m 1)
(-.f64 m #s(literal 1 binary64))
(- m 1)
(-.f64 m #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (pow m 2) 1)
(fma.f64 m m #s(literal -1 binary64))
(- (pow m 2) 1)
(fma.f64 m m #s(literal -1 binary64))
(- (pow m 2) 1)
(fma.f64 m m #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 m)
(+.f64 #s(literal 1 binary64) m)
(+ 1 m)
(+.f64 #s(literal 1 binary64) m)
(+ 1 m)
(+.f64 #s(literal 1 binary64) m)
(/ (pow m 3) v)
(/.f64 (pow.f64 m #s(literal 3 binary64)) v)
(* (pow m 3) (- (/ 1 v) (* 2 (/ 1 (* m v)))))
(*.f64 (/.f64 (pow.f64 (neg.f64 m) #s(literal 3 binary64)) v) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) m)))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (/ 2 (* m v))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) m) (/.f64 #s(literal 2 binary64) v)) m) (/.f64 #s(literal -1 binary64) v)) (pow.f64 m #s(literal 3 binary64)))
(* (pow m 3) (- (+ (/ 1 v) (+ (/ 1 (* (pow m 2) v)) (/ 1 (pow m 2)))) (+ (/ 1 (pow m 3)) (/ 2 (* m v)))))
(*.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) m) (/.f64 #s(literal 2 binary64) v)) m) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal 1 binary64) (pow.f64 m #s(literal 3 binary64)))) (pow.f64 m #s(literal 3 binary64)))
m
(* m (- 1 (/ 1 m)))
(-.f64 m #s(literal 1 binary64))
(* m (- 1 (/ 1 m)))
(-.f64 m #s(literal 1 binary64))
(* m (- 1 (/ 1 m)))
(-.f64 m #s(literal 1 binary64))
(pow m 2)
(*.f64 m m)
(* (pow m 2) (- 1 (/ 1 (pow m 2))))
(fma.f64 m m #s(literal -1 binary64))
(* (pow m 2) (- 1 (/ 1 (pow m 2))))
(fma.f64 m m #s(literal -1 binary64))
(* (pow m 2) (- 1 (/ 1 (pow m 2))))
(fma.f64 m m #s(literal -1 binary64))
m
(* m (+ 1 (/ 1 m)))
(+.f64 #s(literal 1 binary64) m)
(* m (+ 1 (/ 1 m)))
(+.f64 #s(literal 1 binary64) m)
(* m (+ 1 (/ 1 m)))
(+.f64 #s(literal 1 binary64) m)
(/ (pow m 3) v)
(/.f64 (pow.f64 m #s(literal 3 binary64)) v)
(* -1 (* (pow m 3) (- (* 2 (/ 1 (* m v))) (/ 1 v))))
(*.f64 (/.f64 (pow.f64 (neg.f64 m) #s(literal 3 binary64)) v) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) m)))
(* -1 (* (pow m 3) (- (* -1 (/ (- (+ (/ 1 m) (/ 1 (* m v))) (* 2 (/ 1 v))) m)) (/ 1 v))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) m) (/.f64 #s(literal 2 binary64) v)) m) (/.f64 #s(literal -1 binary64) v)) (pow.f64 m #s(literal 3 binary64)))
(* -1 (* (pow m 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 m) (+ 1 (/ 1 v))) m)) (* 2 (/ 1 v))) m)) (/ 1 v))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) v) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) m)) m)) m) (/.f64 #s(literal -1 binary64) v)) (pow.f64 m #s(literal 3 binary64)))
m
(* -1 (* m (- (/ 1 m) 1)))
(-.f64 m #s(literal 1 binary64))
(* -1 (* m (- (/ 1 m) 1)))
(-.f64 m #s(literal 1 binary64))
(* -1 (* m (- (/ 1 m) 1)))
(-.f64 m #s(literal 1 binary64))
(pow m 2)
(*.f64 m m)
(* (pow m 2) (- 1 (/ 1 (pow m 2))))
(fma.f64 m m #s(literal -1 binary64))
(* (pow m 2) (- 1 (/ 1 (pow m 2))))
(fma.f64 m m #s(literal -1 binary64))
(* (pow m 2) (- 1 (/ 1 (pow m 2))))
(fma.f64 m m #s(literal -1 binary64))
m
(* m (+ 1 (/ 1 m)))
(+.f64 #s(literal 1 binary64) m)
(* m (+ 1 (/ 1 m)))
(+.f64 #s(literal 1 binary64) m)
(* m (+ 1 (/ 1 m)))
(+.f64 #s(literal 1 binary64) m)

rewrite137.0ms (4.6%)

Memory

2.5MiB live, 116.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	43
0	17	43
1	90	43
2	727	43
0	8788	42

Stop Event

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

Counts

4 → 300

Calls

Call 1

Inputs
#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64))))
(/.f64 (fma.f64 m m #s(literal -1 binary64)) #s(approx (- m -1) #s(literal 1 binary64)))
(fma.f64 m m #s(literal -1 binary64))
#s(approx (- m -1) #s(literal 1 binary64))

Outputs
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eval6.0ms (0.2%)

Memory: 8.7MiB live, 8.7MiB allocated
Compiler: Compiled 5 783 to 1 136 computations (80.4% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	355	1	356
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	356	4	360

Accuracy

100.0%

Counts

360 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.6%	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (/.f64 #s(approx (+ (* m m) -1) (*.f64 m m)) #s(approx (- m -1) #s(literal 1 binary64))))
✓	54.9%	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) (-.f64 m #s(literal 1 binary64)))
✓	27.5%	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(approx (- (+ (/ m v) m) 1) (/.f64 m v)))
✓	50.3%	#s(approx (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)) #s(literal -1 binary64))

Compiler

Compiled 86 to 56 computations (34.9% saved)

regimes0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 13 to 8 computations (38.5% saved)

end0.0ms (0%)

Memory

0.0MiB live, 0.0MiB allocated

Calls

1 calls:

0.0ms

(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 #s(literal 1 binary64) m)) v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) m))

start0.0ms (0%)

analyze0.0ms (0%)

sample856.0ms (28.5%)

explain2.0ms (0.1%)

preprocess183.0ms (6.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify132.0ms (4.4%)

localize1.0ms (0%)

series11.0ms (0.3%)

simplify191.0ms (6.4%)

rewrite130.0ms (4.3%)

eval17.0ms (0.6%)

prune1.0ms (0%)

simplify128.0ms (4.3%)

localize1.0ms (0%)

series19.0ms (0.6%)

simplify167.0ms (5.5%)

rewrite209.0ms (7%)

eval11.0ms (0.4%)

prune3.0ms (0.1%)

simplify155.0ms (5.2%)

localize1.0ms (0%)

series8.0ms (0.3%)

simplify143.0ms (4.7%)

rewrite149.0ms (5%)

eval5.0ms (0.2%)

prune1.0ms (0%)

simplify110.0ms (3.7%)

localize1.0ms (0%)

series6.0ms (0.2%)

simplify220.0ms (7.3%)

rewrite137.0ms (4.6%)

eval6.0ms (0.2%)

prune1.0ms (0%)

regimes0.0ms (0%)

end0.0ms (0%)

Profiling