Metrics for Rosa's DopplerBench

analyze99.0ms (0.8%)

Memory

-11.2MiB live, 105.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	8
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
82%	81.9%	17.9%	0.1%	0%	0%	0%	11
82%	81.9%	17.9%	0.1%	0%	0%	0%	12

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample831.0ms (6.8%)

Memory

47.6MiB live, 1 294.3MiB allocated

Samples

565.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 315.0ms

ival-mult: 149.0ms (47.3% of total)

ival-neg: 64.0ms (20.3% of total)

ival-div: 53.0ms (16.8% of total)

ival-add: 40.0ms (12.7% of total)

ival-true: 6.0ms (1.9% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

preprocess253.0ms (2.1%)

Memory

6.7MiB live, 207.6MiB allocated

Algorithm

2×	egg-herbie

Rules

2 064×	`accelerator-lowering-fma.f32`
2 064×	`accelerator-lowering-fma.f64`
1 622×	`times-frac`
1 078×	`unsub-neg`
880×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	121
1	185	117
2	662	115
3	2314	115
4	5738	115
5	7969	115
0	8	12
1	29	12
2	75	12
3	191	12
4	339	12
5	529	12
6	948	12
7	1742	12
8	2189	12
9	2705	12
10	3250	12
11	3384	12
12	3645	12
13	3689	12
14	3711	12
15	3749	12
16	3827	12
17	3851	12
18	3863	12
19	3865	12
20	3865	12
0	3865	12

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

Outputs
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
(/.f64 (fma.f64 t1 v #s(literal 0 binary64)) (fma.f64 (+.f64 t1 u) (-.f64 (-.f64 #s(literal 0 binary64) t1) u) #s(literal 0 binary64)))

Call 2

Inputs
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
(/ (* (neg t1) v) (* (+ t1 (neg u)) (+ t1 (neg u))))
(/ (* (neg t1) (neg v)) (* (+ t1 u) (+ t1 u)))
(/ (* (neg (neg t1)) v) (* (+ (neg t1) u) (+ (neg t1) u)))
(neg (/ (* (neg t1) v) (* (+ t1 (neg u)) (+ t1 (neg u)))))
(neg (/ (* (neg t1) (neg v)) (* (+ t1 u) (+ t1 u))))
(neg (/ (* (neg (neg t1)) v) (* (+ (neg t1) u) (+ (neg t1) u))))
(/ (* (neg t1) u) (* (+ t1 v) (+ t1 v)))
(/ (* (neg u) v) (* (+ u t1) (+ u t1)))
(/ (* (neg v) t1) (* (+ v u) (+ v u)))

Outputs
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
(/ (/ (* t1 (neg v)) (+ t1 u)) (+ t1 u))
(/ (* (neg t1) v) (* (+ t1 (neg u)) (+ t1 (neg u))))
(* (/ v (- t1 u)) (/ t1 (- u t1)))
(/ (* (neg t1) (neg v)) (* (+ t1 u) (+ t1 u)))
(/ (/ (* t1 v) (+ t1 u)) (+ t1 u))
(/ (* (neg (neg t1)) v) (* (+ (neg t1) u) (+ (neg t1) u)))
(* (/ v (- t1 u)) (/ t1 (- t1 u)))
(neg (/ (* (neg t1) v) (* (+ t1 (neg u)) (+ t1 (neg u)))))
(* (/ v (- t1 u)) (/ t1 (- t1 u)))
(neg (/ (* (neg t1) (neg v)) (* (+ t1 u) (+ t1 u))))
(/ (/ (* t1 (neg v)) (+ t1 u)) (+ t1 u))
(neg (/ (* (neg (neg t1)) v) (* (+ (neg t1) u) (+ (neg t1) u))))
(* (/ v (- t1 u)) (/ t1 (- u t1)))
(/ (* (neg t1) u) (* (+ t1 v) (+ t1 v)))
(* (neg t1) (/ (/ u (+ t1 v)) (+ t1 v)))
(/ (* (neg u) v) (* (+ u t1) (+ u t1)))
(* (neg u) (/ (/ v (+ t1 u)) (+ t1 u)))
(/ (* (neg v) t1) (* (+ v u) (+ v u)))
(* (neg t1) (/ (/ v (+ v u)) (+ v u)))

Symmetry

(negabs v)

explain85.0ms (0.7%)

Memory

13.8MiB live, 208.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
80	-	3	(1.5578677987900604e-187 4.5709877101195936e-206 8.242472728355951e-116)	`(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))`
0	-	0	-	`t1`
0	-	0	-	`(*.f64 (neg.f64 t1) v)`
0	-	0	-	`(neg.f64 t1)`
0	-	0	-	`v`
0	-	0	-	`(*.f64 (+.f64 t1 u) (+.f64 t1 u))`
0	-	0	-	`(+.f64 t1 u)`
0	-	0	-	`u`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))`	n/o	23	0
↳	`(*.f64 (+.f64 t1 u) (+.f64 t1 u))`	overflow	97
`/.f64`	`(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))`	o/o	23	0
↳	`(*.f64 (neg.f64 t1) v)`	overflow	28
↳	`(*.f64 (+.f64 t1 u) (+.f64 t1 u))`	overflow	97
`/.f64`	`(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))`	u/n	10	0
↳	`(*.f64 (neg.f64 t1) v)`	underflow	37
`/.f64`	`(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))`	n/u	8	0
↳	`(*.f64 (+.f64 t1 u) (+.f64 t1 u))`	underflow	20
`/.f64`	`(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))`	u/u	8	0
↳	`(*.f64 (neg.f64 t1) v)`	underflow	37
↳	`(*.f64 (+.f64 t1 u) (+.f64 t1 u))`	underflow	20
`/.f64`	`(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))`	o/n	5	0
↳	`(*.f64 (neg.f64 t1) v)`	overflow	28

Confusion

	Predicted +	Predicted -
+	77	3
-	0	176

Precision

1.0

Recall

0.9625

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	77	0	3
-	0	0	176

Precision?

1.0

Recall?

0.9625

Freqs

test

number	freq
0	179
1	77

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms

512×

valid

Compiler

Compiled 96 to 36 computations (62.5% saved)

Precisions

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

ival-div: 7.0ms (33.2% of total)

ival-mult: 6.0ms (28.5% of total)

ival-add: 5.0ms (23.7% of total)

ival-neg: 2.0ms (9.5% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.4%	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify198.0ms (1.6%)

Memory

-6.2MiB live, 215.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(neg.f64 t1)
✓	cost-diff	-64	(*.f64 (neg.f64 t1) v)
✓	cost-diff	0	(+.f64 t1 u)
✓	cost-diff	0	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

Rules

2 064×	`accelerator-lowering-fma.f32`
2 064×	`accelerator-lowering-fma.f64`
880×	`-lowering-.f32`
880×	`-lowering-.f64`
572×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	31
1	29	31
2	75	31
3	191	31
4	339	31
5	529	31
6	948	31
7	1742	31
8	2189	31
9	2705	31
10	3250	31
11	3384	31
12	3645	31
13	3689	31
14	3711	31
15	3749	31
16	3827	31
17	3851	31
18	3863	31
19	3865	31
20	3865	31
0	3865	31

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
(* (neg t1) v)
(neg t1)
t1
v
(* (+ t1 u) (+ t1 u))
(+ t1 u)
u

Outputs
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
(/.f64 (fma.f64 t1 v #s(literal 0 binary64)) (fma.f64 (+.f64 t1 u) (-.f64 (-.f64 #s(literal 0 binary64) t1) u) #s(literal 0 binary64)))
(* (neg t1) v)
(-.f64 #s(literal 0 binary64) (fma.f64 t1 v #s(literal 0 binary64)))
(neg t1)
(-.f64 #s(literal 0 binary64) t1)
t1
v
(* (+ t1 u) (+ t1 u))
(fma.f64 (+.f64 t1 u) (+.f64 t1 u) #s(literal 0 binary64))
(+ t1 u)
(+.f64 t1 u)
u

localize24.0ms (0.2%)

Memory

24.0MiB live, 63.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (neg.f64 t1) v)
✓	accuracy	100.0%	(neg.f64 t1)
✓	accuracy	100.0%	(*.f64 (+.f64 t1 u) (+.f64 t1 u))
✓	accuracy	71.6%	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

Samples

16.0ms

256×

valid

Compiler

Compiled 33 to 10 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (40.9% of total)

ival-div: 2.0ms (27.3% of total)

ival-add: 1.0ms (13.6% of total)

ival-neg: 1.0ms (13.6% of total)

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

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

series14.0ms (0.1%)

Memory

-5.4MiB live, 32.8MiB allocated

Counts

5 → 120

Calls

Call 1

Inputs
#<alt (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))>
#<alt (+ t1 u)>
#<alt (* (neg t1) v)>
#<alt (neg t1)>
#<alt (* (+ t1 u) (+ t1 u))>

Outputs
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))>
#<alt (* -1 (/ v t1))>
#<alt (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v t1))>
#<alt (+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))>
#<alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))>
#<alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2))>
#<alt u>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt t1>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt t1>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt t1>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt u>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt u>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (pow u 2)>
#<alt (+ (* 2 (* t1 u)) (pow u 2))>
#<alt (+ (* t1 (+ t1 (* 2 u))) (pow u 2))>
#<alt (+ (* t1 (+ t1 (* 2 u))) (pow u 2))>
#<alt (pow t1 2)>
#<alt (* (pow t1 2) (+ 1 (* 2 (/ u t1))))>
#<alt (* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))>
#<alt (* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))>
#<alt (pow t1 2)>
#<alt (* (pow t1 2) (+ 1 (* 2 (/ u t1))))>
#<alt (* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))>
#<alt (* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))>
#<alt (pow t1 2)>
#<alt (+ (* 2 (* t1 u)) (pow t1 2))>
#<alt (+ (* u (+ u (* 2 t1))) (pow t1 2))>
#<alt (+ (* u (+ u (* 2 t1))) (pow t1 2))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (+ 1 (* 2 (/ t1 u))))>
#<alt (* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))>
#<alt (* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (+ 1 (* 2 (/ t1 u))))>
#<alt (* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))>
#<alt (* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))>

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	v	@	inf	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
1.0ms	u	@	0	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
1.0ms	v	@	0	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
1.0ms	t1	@	0	(* (+ t1 u) (+ t1 u))
1.0ms	t1	@	inf	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

rewrite344.0ms (2.8%)

Memory

-37.7MiB live, 691.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 320×	`-lowering-.f32`
5 320×	`-lowering-.f64`
2 808×	`/-lowering-/.f32`
2 808×	`/-lowering-/.f64`
2 706×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	52	24
2	391	24
3	5091	24
0	8388	24

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 568

Calls

Call 1

Inputs
(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))
(+ t1 u)
(* (neg t1) v)
(neg t1)
(* (+ t1 u) (+ t1 u))

Outputs
(+.f64 (.f64 (/.f64 v (.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 t1 v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))))
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(.f64 (pow.f64 (/.f64 (.f64 (+.f64 t1 u) (fma.f64 u (.f64 u u) (.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64))))) (.f64 (fma.f64 t1 t1 (.f64 u (-.f64 u t1))) (-.f64 (fma.f64 t1 t1 #s(literal 0 binary64)) (.f64 u (-.f64 u t1))))) #s(literal 1 binary64)) (pow.f64 (-.f64 (fma.f64 t1 t1 #s(literal 0 binary64)) (.f64 u (-.f64 u t1))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 t1 u) (.f64 (+.f64 t1 u) (-.f64 t1 u))) (.f64 (+.f64 t1 u) (-.f64 t1 u))) #s(literal 1 binary64)) (+.f64 t1 u))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 t1 u) (.f64 (+.f64 t1 u) (-.f64 t1 u))) (.f64 (fma.f64 t1 (+.f64 t1 u) (.f64 u u)) (-.f64 t1 u))) #s(literal 1 binary64)) (pow.f64 (fma.f64 t1 (+.f64 t1 u) (.f64 u u)) #s(literal 1 binary64)))

simplify593.0ms (4.8%)

Memory

-16.2MiB live, 697.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 062×	`accelerator-lowering-fma.f32`
13 062×	`accelerator-lowering-fma.f64`
4 110×	`-lowering-.f32`
4 110×	`-lowering-.f64`
3 760×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	1287
1	736	1230
2	2393	1136
3	6904	1136
0	8116	1088

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(* -1 (/ (* t1 v) (pow u 2)))
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))
(* -1 (/ v t1))
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)
(* -1 (/ v t1))
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ v t1))
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))
(* -1 (/ (* t1 v) (pow u 2)))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))
(* -1 (/ (* t1 v) (pow u 2)))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2))
u
(+ t1 u)
(+ t1 u)
(+ t1 u)
t1
(* t1 (+ 1 (/ u t1)))
(* t1 (+ 1 (/ u t1)))
(* t1 (+ 1 (/ u t1)))
t1
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
t1
(+ t1 u)
(+ t1 u)
(+ t1 u)
u
(* u (+ 1 (/ t1 u)))
(* u (+ 1 (/ t1 u)))
(* u (+ 1 (/ t1 u)))
u
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(pow u 2)
(+ (* 2 (* t1 u)) (pow u 2))
(+ (* t1 (+ t1 (* 2 u))) (pow u 2))
(+ (* t1 (+ t1 (* 2 u))) (pow u 2))
(pow t1 2)
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))
(pow t1 2)
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))
(pow t1 2)
(+ (* 2 (* t1 u)) (pow t1 2))
(+ (* u (+ u (* 2 t1))) (pow t1 2))
(+ (* u (+ u (* 2 t1))) (pow t1 2))
(pow u 2)
(* (pow u 2) (+ 1 (* 2 (/ t1 u))))
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))
(pow u 2)
(* (pow u 2) (+ 1 (* 2 (/ t1 u))))
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))

Outputs
(* -1 (/ (* t1 v) (pow u 2)))
(/.f64 (.f64 t1 v) (-.f64 #s(literal 0 binary64) (.f64 u u)))
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))
(.f64 t1 (-.f64 (fma.f64 (.f64 t1 v) (/.f64 #s(literal 2 binary64) (.f64 u (.f64 u u))) #s(literal 0 binary64)) (/.f64 v (*.f64 u u))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))
(.f64 t1 (-.f64 (.f64 t1 (fma.f64 v (/.f64 #s(literal 2 binary64) (.f64 u (.f64 u u))) (/.f64 (.f64 t1 (.f64 v #s(literal -3 binary64))) (pow.f64 u #s(literal 4 binary64))))) (/.f64 v (*.f64 u u))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))
(.f64 t1 (fma.f64 t1 (fma.f64 t1 (fma.f64 t1 (fma.f64 #s(literal 6 binary64) (/.f64 v (.f64 u (pow.f64 u #s(literal 4 binary64)))) (/.f64 (.f64 v #s(literal -2 binary64)) (pow.f64 u #s(literal 5 binary64)))) (/.f64 (.f64 v #s(literal -3 binary64)) (pow.f64 u #s(literal 4 binary64)))) (/.f64 (.f64 v #s(literal 2 binary64)) (.f64 u (.f64 u u)))) (/.f64 v (-.f64 #s(literal 0 binary64) (.f64 u u)))))
(* -1 (/ v t1))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)
(/.f64 (fma.f64 u (*.f64 v (/.f64 #s(literal 2 binary64) t1)) (-.f64 #s(literal 0 binary64) v)) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)
(/.f64 (-.f64 (/.f64 (fma.f64 v (/.f64 (.f64 (.f64 u u) #s(literal -3 binary64)) t1) (.f64 v (.f64 u #s(literal 2 binary64)))) t1) v) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 t1 t1)) (.f64 u (fma.f64 v (/.f64 (.f64 (.f64 u u) #s(literal -3 binary64)) t1) (/.f64 (.f64 v (.f64 u u)) t1))) (-.f64 (/.f64 (fma.f64 v (/.f64 (.f64 (.f64 u u) #s(literal -3 binary64)) t1) (.f64 v (.f64 u #s(literal 2 binary64)))) t1) v)) t1)
(* -1 (/ v t1))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))
(/.f64 (fma.f64 u (*.f64 v (/.f64 #s(literal 2 binary64) t1)) (-.f64 #s(literal 0 binary64) v)) t1)
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1))
(/.f64 (-.f64 (/.f64 (fma.f64 v (/.f64 (.f64 (.f64 u u) #s(literal -3 binary64)) t1) (.f64 v (.f64 u #s(literal 2 binary64)))) t1) v) t1)
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1))
(/.f64 (+.f64 v (/.f64 (fma.f64 v (.f64 u #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 u (fma.f64 v (/.f64 (.f64 (.f64 u u) #s(literal -3 binary64)) t1) (/.f64 (.f64 v (.f64 u u)) t1))) (.f64 #s(literal 3 binary64) (.f64 v (*.f64 u u)))) t1)) t1)) (-.f64 #s(literal 0 binary64) t1))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 t1 v)) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ v t1))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))
(/.f64 (fma.f64 u (*.f64 v (/.f64 #s(literal 2 binary64) t1)) (-.f64 #s(literal 0 binary64) v)) t1)
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))
(fma.f64 v (/.f64 (.f64 (.f64 u u) #s(literal -3 binary64)) (.f64 t1 (.f64 t1 t1))) (/.f64 (fma.f64 u (*.f64 v (/.f64 #s(literal 2 binary64) t1)) (-.f64 #s(literal 0 binary64) v)) t1))
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))
(fma.f64 (.f64 u u) (fma.f64 (/.f64 v (.f64 t1 (.f64 t1 t1))) #s(literal -3 binary64) (.f64 (.f64 u #s(literal -2 binary64)) (fma.f64 (/.f64 v (.f64 t1 (.f64 t1 (.f64 t1 t1)))) #s(literal -3 binary64) (/.f64 v (.f64 t1 (.f64 t1 (.f64 t1 t1))))))) (/.f64 (fma.f64 u (.f64 v (/.f64 #s(literal 2 binary64) t1)) (-.f64 #s(literal 0 binary64) v)) t1))
(* -1 (/ (* t1 v) (pow u 2)))
(/.f64 (.f64 t1 v) (-.f64 #s(literal 0 binary64) (.f64 u u)))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/.f64 (-.f64 (/.f64 (.f64 v (.f64 #s(literal 2 binary64) (.f64 t1 t1))) u) (.f64 t1 v)) (*.f64 u u))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))
(/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t1 (.f64 t1 v)) u) (/.f64 (.f64 v (.f64 (.f64 t1 (.f64 t1 t1)) #s(literal -3 binary64))) (.f64 u u))) (.f64 t1 v)) (*.f64 u u))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (.f64 u u)) (fma.f64 #s(literal -3 binary64) (/.f64 (.f64 t1 (.f64 v (.f64 t1 (.f64 t1 t1)))) u) (/.f64 (.f64 t1 (.f64 v (.f64 t1 (.f64 t1 t1)))) u)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t1 (.f64 t1 v)) u) (/.f64 (.f64 v (.f64 (.f64 t1 (.f64 t1 t1)) #s(literal -3 binary64))) (.f64 u u))) (.f64 t1 v))) (.f64 u u))
(* -1 (/ (* t1 v) (pow u 2)))
(/.f64 (.f64 t1 v) (-.f64 #s(literal 0 binary64) (.f64 u u)))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/.f64 (-.f64 (/.f64 (.f64 v (.f64 #s(literal 2 binary64) (.f64 t1 t1))) u) (.f64 t1 v)) (*.f64 u u))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2))
(neg.f64 (/.f64 (fma.f64 t1 v (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (.f64 v (.f64 t1 (.f64 t1 t1))) u) (.f64 #s(literal -2 binary64) (.f64 t1 (.f64 t1 v)))) u)) (*.f64 u u)))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t1 v (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (.f64 t1 (.f64 t1 v))) (/.f64 (fma.f64 v (.f64 (.f64 t1 (.f64 t1 t1)) #s(literal -3 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (fma.f64 t1 (.f64 v (.f64 t1 (.f64 t1 t1))) (.f64 (.f64 t1 (.f64 v (.f64 t1 (.f64 t1 t1)))) #s(literal -3 binary64)))) u)) u)) u))) (.f64 u u))
u
(+ t1 u)
(+.f64 t1 u)
(+ t1 u)
(+.f64 t1 u)
(+ t1 u)
(+.f64 t1 u)
t1
(* t1 (+ 1 (/ u t1)))
(fma.f64 t1 (/.f64 u t1) t1)
(* t1 (+ 1 (/ u t1)))
(fma.f64 t1 (/.f64 u t1) t1)
(* t1 (+ 1 (/ u t1)))
(fma.f64 t1 (/.f64 u t1) t1)
t1
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 u t1)) (-.f64 #s(literal 0 binary64) t1))
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 u t1)) (-.f64 #s(literal 0 binary64) t1))
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 u t1)) (-.f64 #s(literal 0 binary64) t1))
t1
(+ t1 u)
(+.f64 t1 u)
(+ t1 u)
(+.f64 t1 u)
(+ t1 u)
(+.f64 t1 u)
u
(* u (+ 1 (/ t1 u)))
(fma.f64 t1 (/.f64 u u) u)
(* u (+ 1 (/ t1 u)))
(fma.f64 t1 (/.f64 u u) u)
(* u (+ 1 (/ t1 u)))
(fma.f64 t1 (/.f64 u u) u)
u
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(*.f64 u (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 t1 u))))
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(*.f64 u (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 t1 u))))
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(*.f64 u (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 t1 u))))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(pow u 2)
(*.f64 u u)
(+ (* 2 (* t1 u)) (pow u 2))
(*.f64 u (fma.f64 t1 #s(literal 2 binary64) u))
(+ (* t1 (+ t1 (* 2 u))) (pow u 2))
(fma.f64 t1 (fma.f64 u #s(literal 2 binary64) t1) (*.f64 u u))
(+ (* t1 (+ t1 (* 2 u))) (pow u 2))
(fma.f64 t1 (fma.f64 u #s(literal 2 binary64) t1) (*.f64 u u))
(pow t1 2)
(*.f64 t1 t1)
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(.f64 (.f64 t1 t1) (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal 1 binary64)))
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))
(.f64 (.f64 t1 t1) (fma.f64 (/.f64 u t1) (+.f64 #s(literal 2 binary64) (/.f64 u t1)) #s(literal 1 binary64)))
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))
(.f64 (.f64 t1 t1) (fma.f64 (/.f64 u t1) (+.f64 #s(literal 2 binary64) (/.f64 u t1)) #s(literal 1 binary64)))
(pow t1 2)
(*.f64 t1 t1)
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(.f64 (.f64 t1 t1) (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal 1 binary64)))
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))
(.f64 t1 (.f64 t1 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 u (-.f64 #s(literal -2 binary64) (/.f64 u t1))) t1))))
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))
(.f64 t1 (.f64 t1 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 u (-.f64 #s(literal -2 binary64) (/.f64 u t1))) t1))))
(pow t1 2)
(*.f64 t1 t1)
(+ (* 2 (* t1 u)) (pow t1 2))
(*.f64 t1 (fma.f64 u #s(literal 2 binary64) t1))
(+ (* u (+ u (* 2 t1))) (pow t1 2))
(fma.f64 t1 (fma.f64 u #s(literal 2 binary64) t1) (*.f64 u u))
(+ (* u (+ u (* 2 t1))) (pow t1 2))
(fma.f64 t1 (fma.f64 u #s(literal 2 binary64) t1) (*.f64 u u))
(pow u 2)
(*.f64 u u)
(* (pow u 2) (+ 1 (* 2 (/ t1 u))))
(.f64 (.f64 u u) (fma.f64 #s(literal 2 binary64) (/.f64 t1 u) #s(literal 1 binary64)))
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))
(.f64 u (.f64 u (fma.f64 (/.f64 t1 u) (+.f64 #s(literal 2 binary64) (/.f64 t1 u)) #s(literal 1 binary64))))
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))
(.f64 u (.f64 u (fma.f64 (/.f64 t1 u) (+.f64 #s(literal 2 binary64) (/.f64 t1 u)) #s(literal 1 binary64))))
(pow u 2)
(*.f64 u u)
(* (pow u 2) (+ 1 (* 2 (/ t1 u))))
(.f64 (.f64 u u) (fma.f64 #s(literal 2 binary64) (/.f64 t1 u) #s(literal 1 binary64)))
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))
(.f64 (.f64 u u) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 t1 (-.f64 #s(literal -2 binary64) (/.f64 t1 u))) u)))
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))
(.f64 (.f64 u u) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 t1 (-.f64 #s(literal -2 binary64) (/.f64 t1 u))) u)))

eval186.0ms (1.5%)

Memory: 34.8MiB live, 147.2MiB allocated
Compiler: Compiled 21 473 to 2 091 computations (90.3% saved)

prune188.0ms (1.5%)

Memory

-12.6MiB live, 223.0MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	792	15	807
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	792	16	808

Accuracy

100.0%

Counts

808 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 (/.f64 v (+.f64 t1 u)))) (+.f64 t1 u))
	86.2%	(/.f64 (-.f64 #s(literal 0 binary64) t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)))
	97.4%	(/.f64 (*.f64 (/.f64 t1 (-.f64 #s(literal 0 binary64) (+.f64 t1 u))) (-.f64 #s(literal 0 binary64) v)) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))
	71.4%	(/.f64 (.f64 (neg.f64 t1) v) (fma.f64 u u (fma.f64 t1 u (.f64 t1 (+.f64 t1 u)))))
✓	71.4%	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
▶	50.3%	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) u))
	39.8%	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) t1))
	50.2%	(/.f64 (.f64 (neg.f64 t1) v) (.f64 u u))
	39.9%	(/.f64 (.f64 (neg.f64 t1) v) (.f64 t1 (fma.f64 u #s(literal 2 binary64) t1)))
	93.8%	(/.f64 (.f64 #s(literal 1 binary64) v) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) t1) (+.f64 t1 u)))
▶	47.1%	(-.f64 #s(literal 0 binary64) (/.f64 v t1))
▶	98.0%	(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
▶	75.2%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) t1) (.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
	97.5%	(.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (.f64 t1 (/.f64 v (+.f64 t1 u))))
	71.3%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 t1 v))
	75.4%	(.f64 t1 (neg.f64 (/.f64 v (.f64 (+.f64 t1 u) (+.f64 t1 u)))))

Compiler

Compiled 469 to 270 computations (42.4% saved)

simplify336.0ms (2.7%)

Memory

17.5MiB live, 136.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 t1 u)
✓	cost-diff	0	(/.f64 v (+.f64 t1 u))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 t1 (/.f64 v (+.f64 t1 u))))
✓	cost-diff	320	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 (/.f64 v (+.f64 t1 u)))) (+.f64 t1 u))
✓	cost-diff	-64	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) t1) (.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
✓	cost-diff	0	(+.f64 t1 u)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) t1)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 0 binary64) t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
✓	cost-diff	-64	(neg.f64 t1)
✓	cost-diff	-64	(*.f64 (neg.f64 t1) v)
✓	cost-diff	0	(+.f64 t1 u)
✓	cost-diff	0	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) u))
✓	cost-diff	0	(/.f64 v t1)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (/.f64 v t1))
✓	cost-diff	0	(+.f64 t1 u)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) v)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u))
✓	cost-diff	256	(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))

Rules

2 544×	`accelerator-lowering-fma.f32`
2 544×	`accelerator-lowering-fma.f64`
1 360×	`-lowering-.f32`
1 360×	`-lowering-.f64`
612×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	146
1	72	146
2	177	146
3	415	146
4	769	146
5	1191	146
6	1744	146
7	2658	146
8	3830	146
9	4128	146
10	4187	146
11	4209	146
12	4223	146
13	4545	146
14	4729	146
15	4789	146
16	5039	146
17	5055	146
18	5079	146
19	5112	146
20	5112	146
21	5112	146
22	5117	146
23	5129	146
24	5131	146
0	5131	146

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ (- 0 v) (+ t1 u)) (/ t1 (+ t1 u)))
(/ (- 0 v) (+ t1 u))
(- 0 v)
0
v
(+ t1 u)
t1
u
(/ t1 (+ t1 u))
(- 0 (/ v t1))
0
(/ v t1)
v
t1
(/ (* (neg t1) v) (* (+ t1 u) u))
(* (neg t1) v)
(neg t1)
t1
v
(* (+ t1 u) u)
(+ t1 u)
u
(* (/ (- 0 t1) (* (+ t1 u) (+ t1 u))) v)
(/ (- 0 t1) (* (+ t1 u) (+ t1 u)))
(- 0 t1)
0
t1
(* (+ t1 u) (+ t1 u))
(+ t1 u)
u
v
(/ (- 0 (* t1 (/ v (+ t1 u)))) (+ t1 u))
(- 0 (* t1 (/ v (+ t1 u))))
0
(* t1 (/ v (+ t1 u)))
t1
(/ v (+ t1 u))
v
(+ t1 u)
u

Outputs
(* (/ (- 0 v) (+ t1 u)) (/ t1 (+ t1 u)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 v t1 #s(literal 0 binary64)) (fma.f64 (+.f64 t1 u) (+.f64 t1 u) #s(literal 0 binary64))))
(/ (- 0 v) (+ t1 u))
(/.f64 v (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))
(- 0 v)
(-.f64 #s(literal 0 binary64) v)
0
#s(literal 0 binary64)
v
(+ t1 u)
(+.f64 t1 u)
t1
u
(/ t1 (+ t1 u))
(/.f64 t1 (+.f64 t1 u))
(- 0 (/ v t1))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
0
#s(literal 0 binary64)
(/ v t1)
(/.f64 v t1)
v
t1
(/ (* (neg t1) v) (* (+ t1 u) u))
(fma.f64 v (/.f64 t1 (-.f64 #s(literal 0 binary64) (fma.f64 u (+.f64 t1 u) #s(literal 0 binary64)))) #s(literal 0 binary64))
(* (neg t1) v)
(-.f64 #s(literal 0 binary64) (fma.f64 v t1 #s(literal 0 binary64)))
(neg t1)
(-.f64 #s(literal 0 binary64) t1)
t1
v
(* (+ t1 u) u)
(fma.f64 u (+.f64 t1 u) #s(literal 0 binary64))
(+ t1 u)
(+.f64 t1 u)
u
(* (/ (- 0 t1) (* (+ t1 u) (+ t1 u))) v)
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 v t1 #s(literal 0 binary64)) (fma.f64 (+.f64 t1 u) (+.f64 t1 u) #s(literal 0 binary64))))
(/ (- 0 t1) (* (+ t1 u) (+ t1 u)))
(-.f64 #s(literal 0 binary64) (/.f64 t1 (fma.f64 (+.f64 t1 u) (+.f64 t1 u) #s(literal 0 binary64))))
(- 0 t1)
(-.f64 #s(literal 0 binary64) t1)
0
#s(literal 0 binary64)
t1
(* (+ t1 u) (+ t1 u))
(fma.f64 (+.f64 t1 u) (+.f64 t1 u) #s(literal 0 binary64))
(+ t1 u)
(+.f64 t1 u)
u
v
(/ (- 0 (* t1 (/ v (+ t1 u)))) (+ t1 u))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 v t1 #s(literal 0 binary64)) (fma.f64 (+.f64 t1 u) (+.f64 t1 u) #s(literal 0 binary64))))
(- 0 (* t1 (/ v (+ t1 u))))
(-.f64 #s(literal 0 binary64) (fma.f64 v (/.f64 t1 (+.f64 t1 u)) #s(literal 0 binary64)))
0
#s(literal 0 binary64)
(* t1 (/ v (+ t1 u)))
(fma.f64 v (/.f64 t1 (+.f64 t1 u)) #s(literal 0 binary64))
t1
(/ v (+ t1 u))
(/.f64 v (+.f64 t1 u))
v
(+ t1 u)
(+.f64 t1 u)
u

localize414.0ms (3.4%)

Memory

-38.3MiB live, 127.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 t1 u)
✓	accuracy	100.0%	(/.f64 v (+.f64 t1 u))
✓	accuracy	98.5%	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 (/.f64 v (+.f64 t1 u)))) (+.f64 t1 u))
✓	accuracy	89.5%	(*.f64 t1 (/.f64 v (+.f64 t1 u)))
✓	accuracy	100.0%	(+.f64 t1 u)
✓	accuracy	100.0%	(*.f64 (+.f64 t1 u) (+.f64 t1 u))
✓	accuracy	93.7%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) t1) (.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
✓	accuracy	75.1%	(/.f64 (-.f64 #s(literal 0 binary64) t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
✓	accuracy	100.0%	(*.f64 (+.f64 t1 u) u)
✓	accuracy	100.0%	(*.f64 (neg.f64 t1) v)
✓	accuracy	100.0%	(neg.f64 t1)
✓	accuracy	77.9%	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) u))
✓	accuracy	100.0%	(/.f64 v t1)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (/.f64 v t1))
✓	accuracy	100.0%	(+.f64 t1 u)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u))
✓	accuracy	100.0%	(/.f64 t1 (+.f64 t1 u))
✓	accuracy	98.1%	(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))

Samples

360.0ms

256×

valid

Compiler

Compiled 157 to 25 computations (84.1% saved)

Precisions

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

ival-div: 11.0ms (41.3% of total)

ival-mult: 8.0ms (30% of total)

ival-sub: 4.0ms (15% of total)

ival-add: 1.0ms (3.8% of total)

ival-neg: 1.0ms (3.8% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.2%)

Memory

35.9MiB live, 73.7MiB allocated

Counts

19 → 516

Calls

Call 1

Inputs
#<alt (* (/ (- 0 v) (+ t1 u)) (/ t1 (+ t1 u)))>
#<alt (/ (- 0 v) (+ t1 u))>
#<alt (- 0 v)>
#<alt (+ t1 u)>
#<alt (- 0 (/ v t1))>
#<alt (/ v t1)>
#<alt (/ (* (neg t1) v) (* (+ t1 u) u))>
#<alt (* (neg t1) v)>
#<alt (neg t1)>
#<alt (/ (- 0 t1) (* (+ t1 u) (+ t1 u)))>
#<alt (- 0 t1)>
#<alt (* (/ (- 0 t1) (* (+ t1 u) (+ t1 u))) v)>
#<alt (/ (- 0 (* t1 (/ v (+ t1 u)))) (+ t1 u))>
#<alt (- 0 (* t1 (/ v (+ t1 u))))>
#<alt (/ v (+ t1 u))>
#<alt (/ t1 (+ t1 u))>
#<alt (* (+ t1 u) u)>
#<alt (* (+ t1 u) (+ t1 u))>
#<alt (* t1 (/ v (+ t1 u)))>

Outputs
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))>
#<alt (* -1 (/ v t1))>
#<alt (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1))>
#<alt (* -1 (/ v t1))>
#<alt (+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))>
#<alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))>
#<alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
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#<alt (* -1 v)>
#<alt (- (/ (* u v) t1) v)>
#<alt (- (* -1 (/ (- (/ (* (pow u 2) v) t1) (* u v)) t1)) v)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow u 3) v) t1) (* (pow u 2) v)) t1)) (* u v)) t1)) v)>
#<alt (* -1 (/ (* t1 v) (+ t1 u)))>
#<alt (* -1 (/ (* t1 v) (+ t1 u)))>
#<alt (* -1 (/ (* t1 v) (+ t1 u)))>
#<alt (* -1 (/ (* t1 v) (+ t1 u)))>
#<alt (* -1 (/ (* t1 v) (+ t1 u)))>
#<alt (* -1 (/ (* t1 v) (+ t1 u)))>
#<alt (* -1 (/ (* t1 v) (+ t1 u)))>
#<alt (* -1 (/ (* t1 v) (+ t1 u)))>
#<alt (* -1 (/ (* t1 v) (+ t1 u)))>
#<alt (* -1 (/ (* t1 v) (+ t1 u)))>
#<alt (* -1 (/ (* t1 v) (+ t1 u)))>
#<alt (* -1 (/ (* t1 v) (+ t1 u)))>
#<alt (* -1 v)>
#<alt (- (/ (* u v) t1) v)>
#<alt (- (* u (+ (* -1 (/ (* u v) (pow t1 2))) (/ v t1))) v)>
#<alt (- (* u (+ (* u (+ (* -1 (/ v (pow t1 2))) (/ (* u v) (pow t1 3)))) (/ v t1))) v)>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (/ (- (/ (* (pow t1 2) v) u) (* t1 v)) u)>
#<alt (/ (- (+ (* -1 (/ (* (pow t1 3) v) (pow u 2))) (/ (* (pow t1 2) v) u)) (* t1 v)) u)>
#<alt (/ (- (+ (* -1 (/ (* (pow t1 3) v) (pow u 2))) (+ (/ (* (pow t1 2) v) u) (/ (* (pow t1 4) v) (pow u 3)))) (* t1 v)) u)>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (- (* -1 (/ (* (pow t1 2) v) u)) (* -1 (* t1 v))) u))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow t1 3) v) u)) (* (pow t1 2) v)) u)) (* -1 (* t1 v))) u))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow t1 4) v) u)) (* (pow t1 3) v)) u)) (* (pow t1 2) v)) u)) (* -1 (* t1 v))) u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v u)>
#<alt (+ (* -1 (/ (* t1 v) (pow u 2))) (/ v u))>
#<alt (+ (* t1 (- (/ (* t1 v) (pow u 3)) (/ v (pow u 2)))) (/ v u))>
#<alt (+ (* t1 (- (* t1 (- (* -1 (/ (* t1 v) (pow u 4))) (* -1 (/ v (pow u 3))))) (/ v (pow u 2)))) (/ v u))>
#<alt (/ v t1)>
#<alt (/ (+ v (* -1 (/ (* u v) t1))) t1)>
#<alt (/ (- (+ v (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1)) t1)>
#<alt (/ (- (+ v (* -1 (/ (* (pow u 3) v) (pow t1 3)))) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))) t1)>
#<alt (/ v t1)>
#<alt (* -1 (/ (+ (* -1 v) (/ (* u v) t1)) t1))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ (* (pow u 2) v) t1) (* u v)) t1))) t1))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ (* (pow u 3) v) t1) (* (pow u 2) v)) t1)) (* u v)) t1))) t1))>
#<alt (/ v t1)>
#<alt (+ (* -1 (/ (* u v) (pow t1 2))) (/ v t1))>
#<alt (+ (* u (- (/ (* u v) (pow t1 3)) (/ v (pow t1 2)))) (/ v t1))>
#<alt (+ (* u (- (* u (- (* -1 (/ (* u v) (pow t1 4))) (* -1 (/ v (pow t1 3))))) (/ v (pow t1 2)))) (/ v t1))>
#<alt (/ v u)>
#<alt (/ (+ v (* -1 (/ (* t1 v) u))) u)>
#<alt (/ (- (+ v (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u)) u)>
#<alt (/ (- (+ v (* -1 (/ (* (pow t1 3) v) (pow u 3)))) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u))) u)>
#<alt (/ v u)>
#<alt (* -1 (/ (+ (* -1 v) (/ (* t1 v) u)) u))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ (* (pow t1 2) v) u) (* t1 v)) u))) u))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ (* (pow t1 3) v) u) (* (pow t1 2) v)) u)) (* t1 v)) u))) u))>
#<alt (/ t1 u)>
#<alt (* t1 (+ (* -1 (/ t1 (pow u 2))) (/ 1 u)))>
#<alt (* t1 (+ (* t1 (- (/ t1 (pow u 3)) (/ 1 (pow u 2)))) (/ 1 u)))>
#<alt (* t1 (+ (* t1 (- (* t1 (+ (* -1 (/ t1 (pow u 4))) (/ 1 (pow u 3)))) (/ 1 (pow u 2)))) (/ 1 u)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ u t1)))>
#<alt (- (+ 1 (/ (pow u 2) (pow t1 2))) (/ u t1))>
#<alt (- (+ 1 (* -1 (/ (pow u 3) (pow t1 3)))) (+ (* -1 (/ (pow u 2) (pow t1 2))) (/ u t1)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ u t1)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow u 2) t1)) (* -1 u)) t1)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow u 3) t1)) (* -1 (pow u 2))) t1)) (* -1 u)) t1)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ u t1)))>
#<alt (+ 1 (* u (- (/ u (pow t1 2)) (/ 1 t1))))>
#<alt (+ 1 (* u (- (* u (+ (* -1 (/ u (pow t1 3))) (/ 1 (pow t1 2)))) (/ 1 t1))))>
#<alt (/ t1 u)>
#<alt (/ (+ t1 (* -1 (/ (pow t1 2) u))) u)>
#<alt (/ (- (+ t1 (/ (pow t1 3) (pow u 2))) (/ (pow t1 2) u)) u)>
#<alt (/ (- (+ t1 (* -1 (/ (pow t1 4) (pow u 3)))) (+ (* -1 (/ (pow t1 3) (pow u 2))) (/ (pow t1 2) u))) u)>
#<alt (/ t1 u)>
#<alt (* -1 (/ (+ (* -1 t1) (/ (pow t1 2) u)) u))>
#<alt (* -1 (/ (+ (* -1 t1) (* -1 (/ (- (/ (pow t1 3) u) (pow t1 2)) u))) u))>
#<alt (* -1 (/ (+ (* -1 t1) (* -1 (/ (- (* -1 (/ (- (/ (pow t1 4) u) (pow t1 3)) u)) (pow t1 2)) u))) u))>
#<alt (pow u 2)>
#<alt (+ (* t1 u) (pow u 2))>
#<alt (+ (* t1 u) (pow u 2))>
#<alt (+ (* t1 u) (pow u 2))>
#<alt (* t1 u)>
#<alt (* t1 (+ u (/ (pow u 2) t1)))>
#<alt (* t1 (+ u (/ (pow u 2) t1)))>
#<alt (* t1 (+ u (/ (pow u 2) t1)))>
#<alt (* t1 u)>
#<alt (* -1 (* t1 (+ (* -1 u) (* -1 (/ (pow u 2) t1)))))>
#<alt (* -1 (* t1 (+ (* -1 u) (* -1 (/ (pow u 2) t1)))))>
#<alt (* -1 (* t1 (+ (* -1 u) (* -1 (/ (pow u 2) t1)))))>
#<alt (* t1 u)>
#<alt (* u (+ t1 u))>
#<alt (* u (+ t1 u))>
#<alt (* u (+ t1 u))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (+ 1 (/ t1 u)))>
#<alt (* (pow u 2) (+ 1 (/ t1 u)))>
#<alt (* (pow u 2) (+ 1 (/ t1 u)))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (+ 1 (/ t1 u)))>
#<alt (* (pow u 2) (+ 1 (/ t1 u)))>
#<alt (* (pow u 2) (+ 1 (/ t1 u)))>
#<alt (pow u 2)>
#<alt (+ (* 2 (* t1 u)) (pow u 2))>
#<alt (+ (* t1 (+ t1 (* 2 u))) (pow u 2))>
#<alt (+ (* t1 (+ t1 (* 2 u))) (pow u 2))>
#<alt (pow t1 2)>
#<alt (* (pow t1 2) (+ 1 (* 2 (/ u t1))))>
#<alt (* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))>
#<alt (* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))>
#<alt (pow t1 2)>
#<alt (* (pow t1 2) (+ 1 (* 2 (/ u t1))))>
#<alt (* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))>
#<alt (* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))>
#<alt (pow t1 2)>
#<alt (+ (* 2 (* t1 u)) (pow t1 2))>
#<alt (+ (* u (+ u (* 2 t1))) (pow t1 2))>
#<alt (+ (* u (+ u (* 2 t1))) (pow t1 2))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (+ 1 (* 2 (/ t1 u))))>
#<alt (* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))>
#<alt (* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (+ 1 (* 2 (/ t1 u))))>
#<alt (* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))>
#<alt (* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))>
#<alt (/ (* t1 v) u)>
#<alt (* t1 (+ (* -1 (/ (* t1 v) (pow u 2))) (/ v u)))>
#<alt (* t1 (+ (* t1 (- (/ (* t1 v) (pow u 3)) (/ v (pow u 2)))) (/ v u)))>
#<alt (* t1 (+ (* t1 (- (* t1 (- (* -1 (/ (* t1 v) (pow u 4))) (* -1 (/ v (pow u 3))))) (/ v (pow u 2)))) (/ v u)))>
#<alt v>
#<alt (+ v (* -1 (/ (* u v) t1)))>
#<alt (- (+ v (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))>
#<alt (- (+ v (* -1 (/ (* (pow u 3) v) (pow t1 3)))) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1)))>
#<alt v>
#<alt (+ v (* -1 (/ (* u v) t1)))>
#<alt (+ v (* -1 (/ (+ (* -1 (/ (* (pow u 2) v) t1)) (* u v)) t1)))>
#<alt (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow u 3) v) t1)) (* (pow u 2) v)) t1)) (* u v)) t1)))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt (/ (* t1 v) (+ t1 u))>
#<alt v>
#<alt (+ v (* -1 (/ (* u v) t1)))>
#<alt (+ v (* u (- (/ (* u v) (pow t1 2)) (/ v t1))))>
#<alt (+ v (* u (- (* u (- (* -1 (/ (* u v) (pow t1 3))) (* -1 (/ v (pow t1 2))))) (/ v t1))))>
#<alt (/ (* t1 v) u)>
#<alt (/ (+ (* -1 (/ (* (pow t1 2) v) u)) (* t1 v)) u)>
#<alt (/ (- (+ (* t1 v) (/ (* (pow t1 3) v) (pow u 2))) (/ (* (pow t1 2) v) u)) u)>
#<alt (/ (- (+ (* -1 (/ (* (pow t1 4) v) (pow u 3))) (* t1 v)) (+ (* -1 (/ (* (pow t1 3) v) (pow u 2))) (/ (* (pow t1 2) v) u))) u)>
#<alt (/ (* t1 v) u)>
#<alt (* -1 (/ (+ (* -1 (* t1 v)) (/ (* (pow t1 2) v) u)) u))>
#<alt (* -1 (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (/ (* (pow t1 3) v) u) (* (pow t1 2) v)) u))) u))>
#<alt (* -1 (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow t1 4) v) u) (* (pow t1 3) v)) u)) (* (pow t1 2) v)) u))) u))>

Calls

129 calls:

Time	Variable		Point	Expression
3.0ms	u	@	inf	(/ (* (neg t1) v) (* (+ t1 u) u))
2.0ms	u	@	-inf	(/ (- 0 t1) (* (+ t1 u) (+ t1 u)))
1.0ms	t1	@	0	(/ (- 0 t1) (* (+ t1 u) (+ t1 u)))
1.0ms	v	@	0	(/ (* (neg t1) v) (* (+ t1 u) u))
1.0ms	v	@	inf	(/ (- 0 v) (+ t1 u))

rewrite326.0ms (2.7%)

Memory

-29.0MiB live, 600.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 072×	`/-lowering-/.f32`
4 072×	`/-lowering-/.f64`
3 290×	`-lowering-.f32`
3 290×	`-lowering-.f64`
1 990×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	109
1	174	109
2	1669	109
0	8921	109

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1 413

Calls

Call 1

Inputs
(* (/ (- 0 v) (+ t1 u)) (/ t1 (+ t1 u)))
(/ (- 0 v) (+ t1 u))
(- 0 v)
(+ t1 u)
(- 0 (/ v t1))
(/ v t1)
(/ (* (neg t1) v) (* (+ t1 u) u))
(* (neg t1) v)
(neg t1)
(/ (- 0 t1) (* (+ t1 u) (+ t1 u)))
(- 0 t1)
(* (/ (- 0 t1) (* (+ t1 u) (+ t1 u))) v)
(/ (- 0 (* t1 (/ v (+ t1 u)))) (+ t1 u))
(- 0 (* t1 (/ v (+ t1 u))))
(/ v (+ t1 u))
(/ t1 (+ t1 u))
(* (+ t1 u) u)
(* (+ t1 u) (+ t1 u))
(* t1 (/ v (+ t1 u)))

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 v t1)) (.f64 (+.f64 t1 u) (+.f64 t1 u))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (+.f64 t1 u) (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) (*.f64 v t1)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 v t1) (.f64 (+.f64 t1 u) (+.f64 t1 u))))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (+.f64 t1 u) (fma.f64 v (/.f64 t1 (+.f64 t1 u)) #s(literal 0 binary64))) (.f64 (+.f64 t1 u) (+.f64 t1 u))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)) (/.f64 (.f64 v t1) (.f64 (+.f64 t1 u) (+.f64 t1 u))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) v))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 t1 (+.f64 t1 u))) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) v))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (.f64 (+.f64 t1 u) (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) t1))) (/.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 (.f64 (+.f64 t1 u) (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) t1))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) v)) (+.f64 t1 u))) (/.f64 (-.f64 #s(literal 0 binary64) t1) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) v)) (+.f64 t1 u))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (+.f64 t1 u) (/.f64 (.f64 (fma.f64 t1 t1 #s(literal 0 binary64)) (fma.f64 v v #s(literal 0 binary64))) (.f64 (+.f64 t1 u) (+.f64 t1 u))))) (/.f64 (/.f64 (.f64 (.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64))) (.f64 v (fma.f64 v v #s(literal 0 binary64)))) (.f64 (+.f64 t1 u) (.f64 (+.f64 t1 u) (+.f64 t1 u)))) (.f64 (+.f64 t1 u) (/.f64 (.f64 (fma.f64 t1 t1 #s(literal 0 binary64)) (fma.f64 v v #s(literal 0 binary64))) (*.f64 (+.f64 t1 u) (+.f64 t1 u))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (+.f64 t1 u) (fma.f64 v (/.f64 t1 (+.f64 t1 u)) #s(literal 0 binary64)))) (/.f64 (/.f64 (.f64 (fma.f64 t1 t1 #s(literal 0 binary64)) (fma.f64 v v #s(literal 0 binary64))) (.f64 (+.f64 t1 u) (+.f64 t1 u))) (.f64 (+.f64 t1 u) (fma.f64 v (/.f64 t1 (+.f64 t1 u)) #s(literal 0 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (.f64 v t1) (.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (.f64 v t1) (.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 0 binary64))) (/.f64 (/.f64 (/.f64 (.f64 (.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64))) (.f64 v (fma.f64 v v #s(literal 0 binary64)))) (.f64 (+.f64 t1 u) (.f64 (+.f64 t1 u) (+.f64 t1 u)))) (.f64 (+.f64 t1 u) (.f64 (+.f64 t1 u) (+.f64 t1 u)))) (fma.f64 (/.f64 (.f64 v t1) (.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (.f64 v t1) (.f64 (+.f64 t1 u) (+.f64 t1 u)))) (/.f64 (.f64 (/.f64 (.f64 v t1) (.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (.f64 v t1) (.f64 (+.f64 t1 u) (+.f64 t1 u)))) (/.f64 (.f64 v t1) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(neg.f64 (/.f64 (.f64 v t1) (.f64 (+.f64 t1 u) (+.f64 t1 u))))
(neg.f64 (.f64 (-.f64 #s(literal 0 binary64) v) (-.f64 #s(literal 0 binary64) (/.f64 t1 (.f64 (+.f64 t1 u) (+.f64 t1 u))))))
(neg.f64 (.f64 v (/.f64 t1 (.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(neg.f64 (.f64 v (.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))))
(neg.f64 (.f64 (-.f64 #s(literal 0 binary64) t1) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u))))))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 t1 (+.f64 t1 u))) (-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u)))))
(neg.f64 (.f64 t1 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t1 u) (+.f64 t1 u))) v)))
(neg.f64 (.f64 t1 (/.f64 v (.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(neg.f64 (.f64 (/.f64 t1 (.f64 (+.f64 t1 u) (+.f64 t1 u))) v))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u))) (-.f64 #s(literal 0 binary64) (/.f64 t1 (+.f64 t1 u)))))
(neg.f64 (*.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 v (+.f64 t1 u))))
(/.f64 v (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) t1)))
(/.f64 v (*.f64 (/.f64 (+.f64 t1 u) t1) (-.f64 #s(literal 0 binary64) (+.f64 t1 u))))
(/.f64 v (neg.f64 (*.f64 (/.f64 (+.f64 t1 u) t1) (+.f64 t1 u))))
(/.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)))
(/.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 (/.f64 (+.f64 t1 u) t1) (+.f64 t1 u)))
(/.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) t1))
(/.f64 (-.f64 #s(literal 0 binary64) v) (neg.f64 (*.f64 (/.f64 (+.f64 t1 u) t1) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))))
(/.f64 t1 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) v)) (+.f64 t1 u)))
(/.f64 t1 (*.f64 (+.f64 t1 u) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) v))))
(/.f64 t1 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) v)) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))))
(/.f64 t1 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) v)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u))) (/.f64 (+.f64 t1 u) t1))
(/.f64 (/.f64 t1 (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) v)))
(/.f64 (-.f64 #s(literal 0 binary64) t1) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) v)) (-.f64 #s(literal 0 binary64) (+.f64 t1 u))))
(/.f64 (-.f64 #s(literal 0 binary64) t1) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) v))))
(/.f64 (-.f64 #s(literal 0 binary64) t1) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) v)) (+.f64 t1 u))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 v t1)) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)))
(/.f64 (/.f64 v (+.f64 t1 u)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) t1))
(/.f64 (fma.f64 v (/.f64 t1 (+.f64 t1 u)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))
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(.f64 (fma.f64 (.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64))) (.f64 (+.f64 t1 u) (.f64 (+.f64 t1 u) (+.f64 t1 u))) (.f64 (.f64 u (+.f64 t1 u)) (.f64 (.f64 u (+.f64 t1 u)) (.f64 u (+.f64 t1 u))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (+.f64 t1 u) (+.f64 t1 u)) (fma.f64 t1 t1 #s(literal 0 binary64)) (-.f64 (.f64 (.f64 u (+.f64 t1 u)) (.f64 u (+.f64 t1 u))) (.f64 (.f64 t1 (+.f64 t1 u)) (.f64 u (+.f64 t1 u)))))))
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(.f64 (.f64 (+.f64 t1 u) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) (.f64 u (.f64 u u)))) (/.f64 #s(literal 1 binary64) (fma.f64 u (-.f64 u t1) (fma.f64 t1 t1 #s(literal 0 binary64)))))
(.f64 (.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (/.f64 #s(literal 1 binary64) (-.f64 t1 u)))
(.f64 (.f64 (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) (.f64 u (.f64 u u))) (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) (fma.f64 u (-.f64 u t1) (fma.f64 t1 t1 #s(literal 0 binary64)))))
(.f64 (.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) (-.f64 t1 u)))
(*.f64 (exp.f64 (log.f64 (+.f64 t1 u))) (exp.f64 (log.f64 (+.f64 t1 u))))
(+.f64 #s(literal 0 binary64) (fma.f64 v (/.f64 t1 (+.f64 t1 u)) #s(literal 0 binary64)))
(+.f64 (fma.f64 v (/.f64 t1 (+.f64 t1 u)) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 v (/.f64 t1 (+.f64 t1 u)) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) v)) (-.f64 #s(literal 0 binary64) (fma.f64 v (/.f64 t1 (+.f64 t1 u)) #s(literal 0 binary64))))
(fma.f64 v (/.f64 t1 (+.f64 t1 u)) #s(literal 0 binary64))
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(fma.f64 t1 (/.f64 v (+.f64 t1 u)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u))) (-.f64 #s(literal 0 binary64) t1) #s(literal 0 binary64))
(fma.f64 (/.f64 t1 (+.f64 t1 u)) v #s(literal 0 binary64))
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(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 v t1)) (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) #s(literal 0 binary64))
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(fma.f64 (/.f64 v (+.f64 t1 u)) t1 #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 t1 (+.f64 t1 u))) (-.f64 #s(literal 0 binary64) v) #s(literal 0 binary64))
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(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u))) (/.f64 #s(literal -1 binary64) t1))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v t1)) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))
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(/.f64 (/.f64 (.f64 (fma.f64 t1 t1 #s(literal 0 binary64)) (fma.f64 v v #s(literal 0 binary64))) (.f64 (+.f64 t1 u) (+.f64 t1 u))) (fma.f64 v (/.f64 t1 (+.f64 t1 u)) #s(literal 0 binary64)))
(/.f64 (/.f64 (.f64 (fma.f64 t1 t1 #s(literal 0 binary64)) (fma.f64 v v #s(literal 0 binary64))) (.f64 (+.f64 t1 u) (+.f64 t1 u))) (-.f64 (fma.f64 v (/.f64 t1 (+.f64 t1 u)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t1 u) (*.f64 v t1)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 v (/.f64 t1 (+.f64 t1 u)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (fma.f64 t1 t1 #s(literal 0 binary64)) (fma.f64 v v #s(literal 0 binary64))) (.f64 (+.f64 t1 u) (+.f64 t1 u))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 t1 u) v) t1))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (fma.f64 t1 t1 #s(literal 0 binary64)) (fma.f64 v v #s(literal 0 binary64))) (.f64 (+.f64 t1 u) (+.f64 t1 u)))) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64))) (.f64 v (fma.f64 v v #s(literal 0 binary64)))) (.f64 (+.f64 t1 u) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 t1 u) (*.f64 v t1)) #s(literal 1 binary64)))
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(/.f64 (*.f64 v t1) (+.f64 t1 u))
(/.f64 (fma.f64 (.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64))) (/.f64 (.f64 v (fma.f64 v v #s(literal 0 binary64))) (.f64 (+.f64 t1 u) (.f64 (+.f64 t1 u) (+.f64 t1 u)))) #s(literal 0 binary64)) (/.f64 (.f64 (fma.f64 t1 t1 #s(literal 0 binary64)) (fma.f64 v v #s(literal 0 binary64))) (.f64 (+.f64 t1 u) (+.f64 t1 u))))
(pow.f64 (fma.f64 v (/.f64 t1 (+.f64 t1 u)) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 t1 u) (*.f64 v t1)) #s(literal -1 binary64))
(*.f64 v (/.f64 t1 (+.f64 t1 u)))
(*.f64 (-.f64 #s(literal 0 binary64) v) (-.f64 #s(literal 0 binary64) (/.f64 t1 (+.f64 t1 u))))
(*.f64 t1 (/.f64 v (+.f64 t1 u)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u))) (-.f64 #s(literal 0 binary64) t1))
(*.f64 (/.f64 t1 (+.f64 t1 u)) v)
(*.f64 (-.f64 #s(literal 0 binary64) t1) (-.f64 #s(literal 0 binary64) (/.f64 v (+.f64 t1 u))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 v t1)) (/.f64 #s(literal -1 binary64) (+.f64 t1 u)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 v t1)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u))))
(*.f64 (/.f64 v (+.f64 t1 u)) t1)
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 t1 (+.f64 t1 u))) (-.f64 #s(literal 0 binary64) v))
(.f64 (/.f64 (.f64 (.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64))) (.f64 v (fma.f64 v v #s(literal 0 binary64)))) (.f64 (+.f64 t1 u) (.f64 (+.f64 t1 u) (+.f64 t1 u)))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 t1 t1 #s(literal 0 binary64)) (fma.f64 v v #s(literal 0 binary64))) (.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64))) (.f64 v (fma.f64 v v #s(literal 0 binary64)))) (.f64 (+.f64 t1 u) (.f64 (+.f64 t1 u) (+.f64 t1 u))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (fma.f64 t1 t1 #s(literal 0 binary64)) (fma.f64 v v #s(literal 0 binary64))) (.f64 (+.f64 t1 u) (+.f64 t1 u))))))
(.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64))) (.f64 v (fma.f64 v v #s(literal 0 binary64)))) (.f64 (+.f64 t1 u) (.f64 (+.f64 t1 u) (+.f64 t1 u))))) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 t1 t1 #s(literal 0 binary64)) (fma.f64 v v #s(literal 0 binary64))) (.f64 (+.f64 t1 u) (+.f64 t1 u))))))
(.f64 (/.f64 (.f64 (fma.f64 t1 t1 #s(literal 0 binary64)) (fma.f64 v v #s(literal 0 binary64))) (.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 (+.f64 t1 u) (.f64 v t1)))
(*.f64 #s(literal 1 binary64) (fma.f64 v (/.f64 t1 (+.f64 t1 u)) #s(literal 0 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 v (/.f64 t1 (+.f64 t1 u)) #s(literal 0 binary64))))
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(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 v t1)) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (-.f64 #s(literal 0 binary64) (-.f64 t1 u)))
(.f64 (/.f64 (.f64 v t1) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) (.f64 u (.f64 u u)))) (fma.f64 u (-.f64 u t1) (fma.f64 t1 t1 #s(literal 0 binary64))))
(.f64 (/.f64 (.f64 v t1) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (-.f64 t1 u))
(.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 v t1)) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) (.f64 u (.f64 u u))))) (fma.f64 u (-.f64 u t1) (fma.f64 t1 t1 #s(literal 0 binary64))))
(.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 v t1)) (*.f64 (+.f64 t1 u) (-.f64 t1 u)))) (-.f64 t1 u))

simplify488.0ms (4%)

Memory

11.0MiB live, 954.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 174×	`accelerator-lowering-fma.f32`
9 174×	`accelerator-lowering-fma.f64`
4 618×	`-lowering-.f32`
4 618×	`-lowering-.f64`
3 740×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	741	6327
1	2368	5972
2	6983	5850
0	8060	5669

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

Inputs
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))
(* -1 (/ v t1))
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)
(* -1 (/ v t1))
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1))
(* -1 (/ v t1))
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))
(* -1 (/ (* t1 v) (pow u 2)))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))
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(/ v (+ t1 u))
(/ v (+ t1 u))
(/ v (+ t1 u))
(/ v u)
(+ (* -1 (/ (* t1 v) (pow u 2))) (/ v u))
(+ (* t1 (- (/ (* t1 v) (pow u 3)) (/ v (pow u 2)))) (/ v u))
(+ (* t1 (- (* t1 (- (* -1 (/ (* t1 v) (pow u 4))) (* -1 (/ v (pow u 3))))) (/ v (pow u 2)))) (/ v u))
(/ v t1)
(/ (+ v (* -1 (/ (* u v) t1))) t1)
(/ (- (+ v (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1)) t1)
(/ (- (+ v (* -1 (/ (* (pow u 3) v) (pow t1 3)))) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))) t1)
(/ v t1)
(* -1 (/ (+ (* -1 v) (/ (* u v) t1)) t1))
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ (* (pow u 2) v) t1) (* u v)) t1))) t1))
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ (* (pow u 3) v) t1) (* (pow u 2) v)) t1)) (* u v)) t1))) t1))
(/ v t1)
(+ (* -1 (/ (* u v) (pow t1 2))) (/ v t1))
(+ (* u (- (/ (* u v) (pow t1 3)) (/ v (pow t1 2)))) (/ v t1))
(+ (* u (- (* u (- (* -1 (/ (* u v) (pow t1 4))) (* -1 (/ v (pow t1 3))))) (/ v (pow t1 2)))) (/ v t1))
(/ v u)
(/ (+ v (* -1 (/ (* t1 v) u))) u)
(/ (- (+ v (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u)) u)
(/ (- (+ v (* -1 (/ (* (pow t1 3) v) (pow u 3)))) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u))) u)
(/ v u)
(* -1 (/ (+ (* -1 v) (/ (* t1 v) u)) u))
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ (* (pow t1 2) v) u) (* t1 v)) u))) u))
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ (* (pow t1 3) v) u) (* (pow t1 2) v)) u)) (* t1 v)) u))) u))
(/ t1 u)
(* t1 (+ (* -1 (/ t1 (pow u 2))) (/ 1 u)))
(* t1 (+ (* t1 (- (/ t1 (pow u 3)) (/ 1 (pow u 2)))) (/ 1 u)))
(* t1 (+ (* t1 (- (* t1 (+ (* -1 (/ t1 (pow u 4))) (/ 1 (pow u 3)))) (/ 1 (pow u 2)))) (/ 1 u)))
1
(+ 1 (* -1 (/ u t1)))
(- (+ 1 (/ (pow u 2) (pow t1 2))) (/ u t1))
(- (+ 1 (* -1 (/ (pow u 3) (pow t1 3)))) (+ (* -1 (/ (pow u 2) (pow t1 2))) (/ u t1)))
1
(+ 1 (* -1 (/ u t1)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow u 2) t1)) (* -1 u)) t1)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow u 3) t1)) (* -1 (pow u 2))) t1)) (* -1 u)) t1)))
1
(+ 1 (* -1 (/ u t1)))
(+ 1 (* u (- (/ u (pow t1 2)) (/ 1 t1))))
(+ 1 (* u (- (* u (+ (* -1 (/ u (pow t1 3))) (/ 1 (pow t1 2)))) (/ 1 t1))))
(/ t1 u)
(/ (+ t1 (* -1 (/ (pow t1 2) u))) u)
(/ (- (+ t1 (/ (pow t1 3) (pow u 2))) (/ (pow t1 2) u)) u)
(/ (- (+ t1 (* -1 (/ (pow t1 4) (pow u 3)))) (+ (* -1 (/ (pow t1 3) (pow u 2))) (/ (pow t1 2) u))) u)
(/ t1 u)
(* -1 (/ (+ (* -1 t1) (/ (pow t1 2) u)) u))
(* -1 (/ (+ (* -1 t1) (* -1 (/ (- (/ (pow t1 3) u) (pow t1 2)) u))) u))
(* -1 (/ (+ (* -1 t1) (* -1 (/ (- (* -1 (/ (- (/ (pow t1 4) u) (pow t1 3)) u)) (pow t1 2)) u))) u))
(pow u 2)
(+ (* t1 u) (pow u 2))
(+ (* t1 u) (pow u 2))
(+ (* t1 u) (pow u 2))
(* t1 u)
(* t1 (+ u (/ (pow u 2) t1)))
(* t1 (+ u (/ (pow u 2) t1)))
(* t1 (+ u (/ (pow u 2) t1)))
(* t1 u)
(* -1 (* t1 (+ (* -1 u) (* -1 (/ (pow u 2) t1)))))
(* -1 (* t1 (+ (* -1 u) (* -1 (/ (pow u 2) t1)))))
(* -1 (* t1 (+ (* -1 u) (* -1 (/ (pow u 2) t1)))))
(* t1 u)
(* u (+ t1 u))
(* u (+ t1 u))
(* u (+ t1 u))
(pow u 2)
(* (pow u 2) (+ 1 (/ t1 u)))
(* (pow u 2) (+ 1 (/ t1 u)))
(* (pow u 2) (+ 1 (/ t1 u)))
(pow u 2)
(* (pow u 2) (+ 1 (/ t1 u)))
(* (pow u 2) (+ 1 (/ t1 u)))
(* (pow u 2) (+ 1 (/ t1 u)))
(pow u 2)
(+ (* 2 (* t1 u)) (pow u 2))
(+ (* t1 (+ t1 (* 2 u))) (pow u 2))
(+ (* t1 (+ t1 (* 2 u))) (pow u 2))
(pow t1 2)
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))
(pow t1 2)
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))
(pow t1 2)
(+ (* 2 (* t1 u)) (pow t1 2))
(+ (* u (+ u (* 2 t1))) (pow t1 2))
(+ (* u (+ u (* 2 t1))) (pow t1 2))
(pow u 2)
(* (pow u 2) (+ 1 (* 2 (/ t1 u))))
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))
(pow u 2)
(* (pow u 2) (+ 1 (* 2 (/ t1 u))))
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))
(/ (* t1 v) u)
(* t1 (+ (* -1 (/ (* t1 v) (pow u 2))) (/ v u)))
(* t1 (+ (* t1 (- (/ (* t1 v) (pow u 3)) (/ v (pow u 2)))) (/ v u)))
(* t1 (+ (* t1 (- (* t1 (- (* -1 (/ (* t1 v) (pow u 4))) (* -1 (/ v (pow u 3))))) (/ v (pow u 2)))) (/ v u)))
v
(+ v (* -1 (/ (* u v) t1)))
(- (+ v (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))
(- (+ v (* -1 (/ (* (pow u 3) v) (pow t1 3)))) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1)))
v
(+ v (* -1 (/ (* u v) t1)))
(+ v (* -1 (/ (+ (* -1 (/ (* (pow u 2) v) t1)) (* u v)) t1)))
(+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow u 3) v) t1)) (* (pow u 2) v)) t1)) (* u v)) t1)))
(/ (* t1 v) (+ t1 u))
(/ (* t1 v) (+ t1 u))
(/ (* t1 v) (+ t1 u))
(/ (* t1 v) (+ t1 u))
(/ (* t1 v) (+ t1 u))
(/ (* t1 v) (+ t1 u))
(/ (* t1 v) (+ t1 u))
(/ (* t1 v) (+ t1 u))
(/ (* t1 v) (+ t1 u))
(/ (* t1 v) (+ t1 u))
(/ (* t1 v) (+ t1 u))
(/ (* t1 v) (+ t1 u))
v
(+ v (* -1 (/ (* u v) t1)))
(+ v (* u (- (/ (* u v) (pow t1 2)) (/ v t1))))
(+ v (* u (- (* u (- (* -1 (/ (* u v) (pow t1 3))) (* -1 (/ v (pow t1 2))))) (/ v t1))))
(/ (* t1 v) u)
(/ (+ (* -1 (/ (* (pow t1 2) v) u)) (* t1 v)) u)
(/ (- (+ (* t1 v) (/ (* (pow t1 3) v) (pow u 2))) (/ (* (pow t1 2) v) u)) u)
(/ (- (+ (* -1 (/ (* (pow t1 4) v) (pow u 3))) (* t1 v)) (+ (* -1 (/ (* (pow t1 3) v) (pow u 2))) (/ (* (pow t1 2) v) u))) u)
(/ (* t1 v) u)
(* -1 (/ (+ (* -1 (* t1 v)) (/ (* (pow t1 2) v) u)) u))
(* -1 (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (/ (* (pow t1 3) v) u) (* (pow t1 2) v)) u))) u))
(* -1 (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow t1 4) v) u) (* (pow t1 3) v)) u)) (* (pow t1 2) v)) u))) u))

Outputs
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(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)
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(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)
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(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))
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(* -1 (/ (* t1 v) (pow u 2)))
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(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
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(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))
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(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))
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(* -1 (/ (* t1 v) (pow u 2)))
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(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2))
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#s(literal 1 binary64)
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(-.f64 #s(literal 1 binary64) (/.f64 u t1))
(+ 1 (* -1 (/ (- (* -1 (/ (pow u 2) t1)) (* -1 u)) t1)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 u (/.f64 (*.f64 u u) t1)) t1))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow u 3) t1)) (* -1 (pow u 2))) t1)) (* -1 u)) t1)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 u (/.f64 (-.f64 (.f64 u u) (/.f64 (.f64 u (*.f64 u u)) t1)) t1)) t1))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ u t1)))
(-.f64 #s(literal 1 binary64) (/.f64 u t1))
(+ 1 (* u (- (/ u (pow t1 2)) (/ 1 t1))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 u u) t1) u) t1))
(+ 1 (* u (- (* u (+ (* -1 (/ u (pow t1 3))) (/ 1 (pow t1 2)))) (/ 1 t1))))
(fma.f64 u (fma.f64 u (-.f64 (/.f64 #s(literal 1 binary64) (.f64 t1 t1)) (/.f64 u (.f64 t1 (*.f64 t1 t1)))) (/.f64 #s(literal -1 binary64) t1)) #s(literal 1 binary64))
(/ t1 u)
(/.f64 t1 u)
(/ (+ t1 (* -1 (/ (pow t1 2) u))) u)
(/.f64 (-.f64 t1 (/.f64 (*.f64 t1 t1) u)) u)
(/ (- (+ t1 (/ (pow t1 3) (pow u 2))) (/ (pow t1 2) u)) u)
(/.f64 (+.f64 t1 (/.f64 (-.f64 (/.f64 (.f64 t1 (.f64 t1 t1)) u) (*.f64 t1 t1)) u)) u)
(/ (- (+ t1 (* -1 (/ (pow t1 4) (pow u 3)))) (+ (* -1 (/ (pow t1 3) (pow u 2))) (/ (pow t1 2) u))) u)
(/.f64 (-.f64 (-.f64 t1 (/.f64 (.f64 t1 (.f64 t1 (.f64 t1 t1))) (.f64 u (.f64 u u)))) (-.f64 (/.f64 (.f64 t1 t1) u) (.f64 t1 (.f64 t1 (/.f64 t1 (*.f64 u u)))))) u)
(/ t1 u)
(/.f64 t1 u)
(* -1 (/ (+ (* -1 t1) (/ (pow t1 2) u)) u))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (*.f64 t1 t1) u) t1) u))
(* -1 (/ (+ (* -1 t1) (* -1 (/ (- (/ (pow t1 3) u) (pow t1 2)) u))) u))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t1) (/.f64 (-.f64 (/.f64 (.f64 t1 (.f64 t1 t1)) u) (*.f64 t1 t1)) u)) (-.f64 #s(literal 0 binary64) u))
(* -1 (/ (+ (* -1 t1) (* -1 (/ (- (* -1 (/ (- (/ (pow t1 4) u) (pow t1 3)) u)) (pow t1 2)) u))) u))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (.f64 t1 (.f64 t1 (.f64 t1 t1))) u) (.f64 t1 (.f64 t1 t1))) (-.f64 #s(literal 0 binary64) u)) (.f64 t1 t1)) (-.f64 #s(literal 0 binary64) u)) t1) (-.f64 #s(literal 0 binary64) u))
(pow u 2)
(*.f64 u u)
(+ (* t1 u) (pow u 2))
(*.f64 u (+.f64 t1 u))
(+ (* t1 u) (pow u 2))
(*.f64 u (+.f64 t1 u))
(+ (* t1 u) (pow u 2))
(*.f64 u (+.f64 t1 u))
(* t1 u)
(*.f64 t1 u)
(* t1 (+ u (/ (pow u 2) t1)))
(*.f64 t1 (fma.f64 u (/.f64 u t1) u))
(* t1 (+ u (/ (pow u 2) t1)))
(*.f64 t1 (fma.f64 u (/.f64 u t1) u))
(* t1 (+ u (/ (pow u 2) t1)))
(*.f64 t1 (fma.f64 u (/.f64 u t1) u))
(* t1 u)
(*.f64 t1 u)
(* -1 (* t1 (+ (* -1 u) (* -1 (/ (pow u 2) t1)))))
(-.f64 #s(literal 0 binary64) (*.f64 t1 (neg.f64 (fma.f64 u (/.f64 u t1) u))))
(* -1 (* t1 (+ (* -1 u) (* -1 (/ (pow u 2) t1)))))
(-.f64 #s(literal 0 binary64) (*.f64 t1 (neg.f64 (fma.f64 u (/.f64 u t1) u))))
(* -1 (* t1 (+ (* -1 u) (* -1 (/ (pow u 2) t1)))))
(-.f64 #s(literal 0 binary64) (*.f64 t1 (neg.f64 (fma.f64 u (/.f64 u t1) u))))
(* t1 u)
(*.f64 t1 u)
(* u (+ t1 u))
(*.f64 u (+.f64 t1 u))
(* u (+ t1 u))
(*.f64 u (+.f64 t1 u))
(* u (+ t1 u))
(*.f64 u (+.f64 t1 u))
(pow u 2)
(*.f64 u u)
(* (pow u 2) (+ 1 (/ t1 u)))
(*.f64 u (fma.f64 u (/.f64 t1 u) u))
(* (pow u 2) (+ 1 (/ t1 u)))
(*.f64 u (fma.f64 u (/.f64 t1 u) u))
(* (pow u 2) (+ 1 (/ t1 u)))
(*.f64 u (fma.f64 u (/.f64 t1 u) u))
(pow u 2)
(*.f64 u u)
(* (pow u 2) (+ 1 (/ t1 u)))
(*.f64 u (fma.f64 u (/.f64 t1 u) u))
(* (pow u 2) (+ 1 (/ t1 u)))
(*.f64 u (fma.f64 u (/.f64 t1 u) u))
(* (pow u 2) (+ 1 (/ t1 u)))
(*.f64 u (fma.f64 u (/.f64 t1 u) u))
(pow u 2)
(*.f64 u u)
(+ (* 2 (* t1 u)) (pow u 2))
(*.f64 u (fma.f64 t1 #s(literal 2 binary64) u))
(+ (* t1 (+ t1 (* 2 u))) (pow u 2))
(fma.f64 t1 (fma.f64 u #s(literal 2 binary64) t1) (*.f64 u u))
(+ (* t1 (+ t1 (* 2 u))) (pow u 2))
(fma.f64 t1 (fma.f64 u #s(literal 2 binary64) t1) (*.f64 u u))
(pow t1 2)
(*.f64 t1 t1)
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(.f64 t1 (.f64 t1 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal 1 binary64))))
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))
(.f64 (.f64 t1 t1) (fma.f64 u (/.f64 u (*.f64 t1 t1)) (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal 1 binary64))))
(* (pow t1 2) (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))
(.f64 (.f64 t1 t1) (fma.f64 u (/.f64 u (*.f64 t1 t1)) (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal 1 binary64))))
(pow t1 2)
(*.f64 t1 t1)
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(.f64 t1 (.f64 t1 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal 1 binary64))))
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))
(.f64 (.f64 t1 t1) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 u #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 u u) t1))) t1)))
(* (pow t1 2) (+ 1 (* -1 (/ (+ (* -2 u) (* -1 (/ (pow u 2) t1))) t1))))
(.f64 (.f64 t1 t1) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 u #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 u u) t1))) t1)))
(pow t1 2)
(*.f64 t1 t1)
(+ (* 2 (* t1 u)) (pow t1 2))
(*.f64 t1 (fma.f64 u #s(literal 2 binary64) t1))
(+ (* u (+ u (* 2 t1))) (pow t1 2))
(fma.f64 t1 (fma.f64 u #s(literal 2 binary64) t1) (*.f64 u u))
(+ (* u (+ u (* 2 t1))) (pow t1 2))
(fma.f64 t1 (fma.f64 u #s(literal 2 binary64) t1) (*.f64 u u))
(pow u 2)
(*.f64 u u)
(* (pow u 2) (+ 1 (* 2 (/ t1 u))))
(.f64 (.f64 (fma.f64 t1 (/.f64 #s(literal 2 binary64) u) #s(literal 1 binary64)) u) u)
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))
(.f64 (.f64 u u) (fma.f64 t1 (/.f64 t1 (*.f64 u u)) (fma.f64 t1 (/.f64 #s(literal 2 binary64) u) #s(literal 1 binary64))))
(* (pow u 2) (+ 1 (+ (* 2 (/ t1 u)) (/ (pow t1 2) (pow u 2)))))
(.f64 (.f64 u u) (fma.f64 t1 (/.f64 t1 (*.f64 u u)) (fma.f64 t1 (/.f64 #s(literal 2 binary64) u) #s(literal 1 binary64))))
(pow u 2)
(*.f64 u u)
(* (pow u 2) (+ 1 (* 2 (/ t1 u))))
(.f64 (.f64 (fma.f64 t1 (/.f64 #s(literal 2 binary64) u) #s(literal 1 binary64)) u) u)
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))
(.f64 (.f64 u u) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t1 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t1 t1) u))) u)))
(* (pow u 2) (+ 1 (* -1 (/ (+ (* -2 t1) (* -1 (/ (pow t1 2) u))) u))))
(.f64 (.f64 u u) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t1 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t1 t1) u))) u)))
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(* t1 (+ (* -1 (/ (* t1 v) (pow u 2))) (/ v u)))
(.f64 t1 (/.f64 (-.f64 v (/.f64 (.f64 t1 v) u)) u))
(* t1 (+ (* t1 (- (/ (* t1 v) (pow u 3)) (/ v (pow u 2)))) (/ v u)))
(.f64 t1 (fma.f64 t1 (-.f64 (/.f64 (.f64 t1 v) (.f64 u (.f64 u u))) (/.f64 v (*.f64 u u))) (/.f64 v u)))
(* t1 (+ (* t1 (- (* t1 (- (* -1 (/ (* t1 v) (pow u 4))) (* -1 (/ v (pow u 3))))) (/ v (pow u 2)))) (/ v u)))
(.f64 t1 (fma.f64 t1 (fma.f64 t1 (-.f64 (/.f64 v (.f64 u (.f64 u u))) (/.f64 (.f64 t1 v) (pow.f64 u #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 u u)))) (/.f64 v u)))
v
(+ v (* -1 (/ (* u v) t1)))
(fma.f64 u (-.f64 #s(literal 0 binary64) (/.f64 v t1)) v)
(- (+ v (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))
(fma.f64 u (/.f64 (fma.f64 v (/.f64 u t1) (-.f64 #s(literal 0 binary64) v)) t1) v)
(- (+ v (* -1 (/ (* (pow u 3) v) (pow t1 3)))) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1)))
(-.f64 (fma.f64 (.f64 u (.f64 u u)) (-.f64 #s(literal 0 binary64) (/.f64 v (.f64 t1 (.f64 t1 t1)))) v) (*.f64 u (/.f64 (fma.f64 u (-.f64 #s(literal 0 binary64) (/.f64 v t1)) v) t1)))
v
(+ v (* -1 (/ (* u v) t1)))
(fma.f64 u (-.f64 #s(literal 0 binary64) (/.f64 v t1)) v)
(+ v (* -1 (/ (+ (* -1 (/ (* (pow u 2) v) t1)) (* u v)) t1)))
(-.f64 v (*.f64 u (/.f64 (fma.f64 u (-.f64 #s(literal 0 binary64) (/.f64 v t1)) v) t1)))
(+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow u 3) v) t1)) (* (pow u 2) v)) t1)) (* u v)) t1)))
(-.f64 v (/.f64 (-.f64 (.f64 v u) (/.f64 (-.f64 (.f64 v (.f64 u u)) (/.f64 (.f64 v (.f64 u (.f64 u u))) t1)) t1)) t1))
(/ (* t1 v) (+ t1 u))
(/.f64 (*.f64 t1 v) (+.f64 t1 u))
(/ (* t1 v) (+ t1 u))
(/.f64 (*.f64 t1 v) (+.f64 t1 u))
(/ (* t1 v) (+ t1 u))
(/.f64 (*.f64 t1 v) (+.f64 t1 u))
(/ (* t1 v) (+ t1 u))
(/.f64 (*.f64 t1 v) (+.f64 t1 u))
(/ (* t1 v) (+ t1 u))
(/.f64 (*.f64 t1 v) (+.f64 t1 u))
(/ (* t1 v) (+ t1 u))
(/.f64 (*.f64 t1 v) (+.f64 t1 u))
(/ (* t1 v) (+ t1 u))
(/.f64 (*.f64 t1 v) (+.f64 t1 u))
(/ (* t1 v) (+ t1 u))
(/.f64 (*.f64 t1 v) (+.f64 t1 u))
(/ (* t1 v) (+ t1 u))
(/.f64 (*.f64 t1 v) (+.f64 t1 u))
(/ (* t1 v) (+ t1 u))
(/.f64 (*.f64 t1 v) (+.f64 t1 u))
(/ (* t1 v) (+ t1 u))
(/.f64 (*.f64 t1 v) (+.f64 t1 u))
(/ (* t1 v) (+ t1 u))
(/.f64 (*.f64 t1 v) (+.f64 t1 u))
v
(+ v (* -1 (/ (* u v) t1)))
(fma.f64 u (-.f64 #s(literal 0 binary64) (/.f64 v t1)) v)
(+ v (* u (- (/ (* u v) (pow t1 2)) (/ v t1))))
(fma.f64 u (/.f64 (fma.f64 v (/.f64 u t1) (-.f64 #s(literal 0 binary64) v)) t1) v)
(+ v (* u (- (* u (- (* -1 (/ (* u v) (pow t1 3))) (* -1 (/ v (pow t1 2))))) (/ v t1))))
(fma.f64 u (/.f64 (fma.f64 u (/.f64 (fma.f64 u (-.f64 #s(literal 0 binary64) (/.f64 v t1)) v) t1) (-.f64 #s(literal 0 binary64) v)) t1) v)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(/ (+ (* -1 (/ (* (pow t1 2) v) u)) (* t1 v)) u)
(.f64 t1 (/.f64 (-.f64 v (/.f64 (.f64 t1 v) u)) u))
(/ (- (+ (* t1 v) (/ (* (pow t1 3) v) (pow u 2))) (/ (* (pow t1 2) v) u)) u)
(/.f64 (fma.f64 t1 v (/.f64 (fma.f64 t1 (/.f64 (.f64 t1 (.f64 t1 v)) u) (-.f64 #s(literal 0 binary64) (.f64 t1 (.f64 t1 v)))) u)) u)
(/ (- (+ (* -1 (/ (* (pow t1 4) v) (pow u 3))) (* t1 v)) (+ (* -1 (/ (* (pow t1 3) v) (pow u 2))) (/ (* (pow t1 2) v) u))) u)
(/.f64 (-.f64 (-.f64 (.f64 t1 v) (/.f64 (-.f64 (.f64 t1 (.f64 t1 v)) (/.f64 (.f64 t1 (.f64 t1 (.f64 t1 v))) u)) u)) (/.f64 (.f64 t1 (.f64 t1 (.f64 t1 (.f64 t1 v)))) (.f64 u (.f64 u u)))) u)
(/ (* t1 v) u)
(/.f64 (*.f64 t1 v) u)
(* -1 (/ (+ (* -1 (* t1 v)) (/ (* (pow t1 2) v) u)) u))
(.f64 t1 (/.f64 (-.f64 v (/.f64 (.f64 t1 v) u)) u))
(* -1 (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (/ (* (pow t1 3) v) u) (* (pow t1 2) v)) u))) u))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 t1 v (/.f64 (fma.f64 t1 (/.f64 (.f64 t1 (.f64 t1 v)) u) (-.f64 #s(literal 0 binary64) (.f64 t1 (.f64 t1 v)))) u))) u))
(* -1 (/ (+ (* -1 (* t1 v)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow t1 4) v) u) (* (pow t1 3) v)) u)) (* (pow t1 2) v)) u))) u))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 t1 v (/.f64 (-.f64 (/.f64 (-.f64 (.f64 (.f64 t1 (.f64 t1 (.f64 t1 t1))) (/.f64 v u)) (.f64 t1 (.f64 t1 (.f64 t1 v)))) (-.f64 #s(literal 0 binary64) u)) (.f64 t1 (.f64 t1 v))) u))) u)

eval313.0ms (2.5%)

Memory: -0.9MiB live, 694.8MiB allocated
Compiler: Compiled 51 665 to 4 763 computations (90.8% saved)

prune333.0ms (2.7%)

Memory

17.1MiB live, 507.0MiB allocated

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	2 383	20	2 403
Fresh	6	4	10
Picked	5	0	5
Done	1	0	1
Total	2 395	24	2 419

Accuracy

100.0%

Counts

2 419 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.3%	(/.f64 (fma.f64 v (/.f64 u t1) (-.f64 #s(literal 0 binary64) v)) (+.f64 t1 u))
	54.4%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v t1)) u) (+.f64 t1 u))
	61.4%	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 (/.f64 v (+.f64 t1 u)))) u)
	53.7%	(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u))
	86.2%	(/.f64 (-.f64 #s(literal 0 binary64) t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)))
	71.4%	(/.f64 (.f64 (neg.f64 t1) v) (fma.f64 u u (fma.f64 t1 u (.f64 t1 (+.f64 t1 u)))))
	50.2%	(/.f64 (.f64 (neg.f64 t1) v) (.f64 u u))
▶	39.9%	(/.f64 (.f64 (neg.f64 t1) v) (.f64 t1 (fma.f64 u #s(literal 2 binary64) t1)))
	93.8%	(/.f64 v (neg.f64 (*.f64 (/.f64 (+.f64 t1 u) t1) (+.f64 t1 u))))
	46.2%	(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
	80.0%	(/.f64 #s(literal -1 binary64) (.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) (.f64 v t1))))
	31.2%	(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 v v #s(literal 0 binary64)) (*.f64 v t1)))
	14.6%	(-.f64 #s(literal 0 binary64) (/.f64 v u))
	52.3%	(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
	45.8%	(*.f64 (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1) v)
▶	50.1%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) t1) (.f64 u u)) v)
▶	98.0%	(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
	75.2%	(.f64 (/.f64 (neg.f64 t1) (.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
	46.9%	(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
	50.3%	(.f64 (.f64 v t1) (/.f64 #s(literal -1 binary64) (*.f64 u (+.f64 t1 u))))
▶	86.5%	(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u))))
	52.7%	(.f64 t1 (neg.f64 (/.f64 v (.f64 u (+.f64 t1 u)))))
▶	47.1%	(neg.f64 (/.f64 v t1))
	57.2%	(neg.f64 (*.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 v u)))

Compiler

Compiled 620 to 382 computations (38.4% saved)

simplify247.0ms (2%)

Memory

-28.1MiB live, 388.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u))))
✓	cost-diff	0	(+.f64 t1 u)
✓	cost-diff	0	(/.f64 v (+.f64 t1 u))
✓	cost-diff	320	(/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u))
✓	cost-diff	-64	(neg.f64 t1)
✓	cost-diff	-64	(*.f64 (neg.f64 t1) v)
✓	cost-diff	0	(fma.f64 u #s(literal 2 binary64) t1)
✓	cost-diff	768	(/.f64 (.f64 (neg.f64 t1) v) (.f64 t1 (fma.f64 u #s(literal 2 binary64) t1)))
✓	cost-diff	-64	(*.f64 u u)
✓	cost-diff	-64	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) t1) (.f64 u u)) v)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) t1)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 0 binary64) t1) (*.f64 u u))
✓	cost-diff	-64	(neg.f64 (/.f64 v t1))
✓	cost-diff	0	(/.f64 v t1)
✓	cost-diff	0	(/.f64 t1 (+.f64 t1 u))
✓	cost-diff	0	(+.f64 t1 u)
✓	cost-diff	0	(/.f64 (neg.f64 v) (+.f64 t1 u))
✓	cost-diff	256	(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))

Rules

4 624×	`accelerator-lowering-fma.f32`
4 624×	`accelerator-lowering-fma.f64`
3 856×	`-lowering-.f32`
3 856×	`-lowering-.f64`
2 394×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	139
1	79	139
2	220	135
3	537	135
4	1328	135
5	3526	134
6	5069	134
0	8264	132

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (neg v) (+ t1 u)) (/ t1 (+ t1 u)))
(/ (neg v) (+ t1 u))
(neg v)
v
(+ t1 u)
t1
u
(/ t1 (+ t1 u))
(neg (/ v t1))
(/ v t1)
v
t1
(* (/ (- 0 t1) (* u u)) v)
(/ (- 0 t1) (* u u))
(- 0 t1)
0
t1
(* u u)
u
v
(/ (* (neg t1) v) (* t1 (+ (* u 2) t1)))
(* (neg t1) v)
(neg t1)
t1
v
(* t1 (+ (* u 2) t1))
(+ (* u 2) t1)
u
2
(* t1 (neg (/ (/ v (+ t1 u)) (+ t1 u))))
t1
(neg (/ (/ v (+ t1 u)) (+ t1 u)))
(/ (/ v (+ t1 u)) (+ t1 u))
(/ v (+ t1 u))
v
(+ t1 u)
u

Outputs
(* (/ (neg v) (+ t1 u)) (/ t1 (+ t1 u)))
(fma.f64 v (/.f64 t1 (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 t1 u) (+.f64 t1 u) #s(literal 0 binary64)))) #s(literal 0 binary64))
(/ (neg v) (+ t1 u))
(/.f64 v (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))
(neg v)
(-.f64 #s(literal 0 binary64) v)
v
(+ t1 u)
(+.f64 t1 u)
t1
u
(/ t1 (+ t1 u))
(/.f64 t1 (+.f64 t1 u))
(neg (/ v t1))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(/ v t1)
(/.f64 v t1)
v
t1
(* (/ (- 0 t1) (* u u)) v)
(fma.f64 v (-.f64 #s(literal 0 binary64) (/.f64 t1 (fma.f64 u u #s(literal 0 binary64)))) #s(literal 0 binary64))
(/ (- 0 t1) (* u u))
(-.f64 #s(literal 0 binary64) (/.f64 t1 (fma.f64 u u #s(literal 0 binary64))))
(- 0 t1)
(-.f64 #s(literal 0 binary64) t1)
0
#s(literal 0 binary64)
t1
(* u u)
(fma.f64 u u #s(literal 0 binary64))
u
v
(/ (* (neg t1) v) (* t1 (+ (* u 2) t1)))
(/.f64 v (-.f64 (fma.f64 u #s(literal -2 binary64) #s(literal 0 binary64)) t1))
(* (neg t1) v)
(-.f64 #s(literal 0 binary64) (fma.f64 v t1 #s(literal 0 binary64)))
(neg t1)
(-.f64 #s(literal 0 binary64) t1)
t1
v
(* t1 (+ (* u 2) t1))
(fma.f64 t1 (fma.f64 u #s(literal 2 binary64) t1) #s(literal 0 binary64))
(+ (* u 2) t1)
(fma.f64 u #s(literal 2 binary64) t1)
u
2
#s(literal 2 binary64)
(* t1 (neg (/ (/ v (+ t1 u)) (+ t1 u))))
(fma.f64 v (/.f64 t1 (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 t1 u) (+.f64 t1 u) #s(literal 0 binary64)))) #s(literal 0 binary64))
t1
(neg (/ (/ v (+ t1 u)) (+ t1 u)))
(/.f64 v (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 t1 u) (+.f64 t1 u) #s(literal 0 binary64))))
(/ (/ v (+ t1 u)) (+ t1 u))
(/.f64 v (fma.f64 (+.f64 t1 u) (+.f64 t1 u) #s(literal 0 binary64)))
(/ v (+ t1 u))
(/.f64 v (+.f64 t1 u))
v
(+ t1 u)
(+.f64 t1 u)
u

localize80.0ms (0.7%)

Memory

-2.5MiB live, 152.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u)))
✓	accuracy	100.0%	(/.f64 v (+.f64 t1 u))
✓	accuracy	99.8%	(/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u))
✓	accuracy	86.5%	(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u))))
✓	accuracy	100.0%	(*.f64 (neg.f64 t1) v)
✓	accuracy	100.0%	(neg.f64 t1)
✓	accuracy	100.0%	(*.f64 t1 (fma.f64 u #s(literal 2 binary64) t1))
✓	accuracy	68.4%	(/.f64 (.f64 (neg.f64 t1) v) (.f64 t1 (fma.f64 u #s(literal 2 binary64) t1)))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) t1)
✓	accuracy	100.0%	(*.f64 u u)
✓	accuracy	89.3%	(/.f64 (-.f64 #s(literal 0 binary64) t1) (*.f64 u u))
✓	accuracy	86.1%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) t1) (.f64 u u)) v)
✓	accuracy	100.0%	(/.f64 v t1)
✓	accuracy	100.0%	(neg.f64 (/.f64 v t1))
✓	accuracy	100.0%	(neg.f64 v)
✓	accuracy	100.0%	(/.f64 (neg.f64 v) (+.f64 t1 u))
✓	accuracy	100.0%	(/.f64 t1 (+.f64 t1 u))
✓	accuracy	98.1%	(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))

Samples

51.0ms

256×

valid

Compiler

Compiled 141 to 28 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-div: 13.0ms (40.2% of total)

ival-mult: 10.0ms (30.9% of total)

ival-neg: 6.0ms (18.5% of total)

ival-add: 3.0ms (9.3% of total)

ival-sub: 1.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series38.0ms (0.3%)

Memory

-6.2MiB live, 72.2MiB allocated

Counts

20 → 528

Calls

Call 1

Inputs
#<alt (* (/ (neg v) (+ t1 u)) (/ t1 (+ t1 u)))>
#<alt (/ (neg v) (+ t1 u))>
#<alt (+ t1 u)>
#<alt (/ t1 (+ t1 u))>
#<alt (/ v t1)>
#<alt (neg (/ v t1))>
#<alt (/ (- 0 t1) (* u u))>
#<alt (- 0 t1)>
#<alt (* (/ (- 0 t1) (* u u)) v)>
#<alt (* u u)>
#<alt (/ (* (neg t1) v) (* t1 (+ (* u 2) t1)))>
#<alt (+ (* u 2) t1)>
#<alt (* (neg t1) v)>
#<alt (neg t1)>
#<alt (/ (/ v (+ t1 u)) (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (* t1 (neg (/ (/ v (+ t1 u)) (+ t1 u))))>
#<alt (neg v)>
#<alt (* t1 (+ (* u 2) t1))>
#<alt (neg (/ (/ v (+ t1 u)) (+ t1 u)))>

Outputs
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))>
#<alt (* -1 (/ v t1))>
#<alt (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1))>
#<alt (* -1 (/ v t1))>
#<alt (+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))>
#<alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))>
#<alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v (+ t1 u)))>
#<alt (* -1 (/ v u))>
#<alt (+ (* -1 (/ v u)) (/ (* t1 v) (pow u 2)))>
#<alt (+ (* -1 (/ v u)) (* t1 (+ (* -1 (/ (* t1 v) (pow u 3))) (/ v (pow u 2)))))>
#<alt (+ (* -1 (/ v u)) (* t1 (+ (* t1 (+ (* -1 (/ v (pow u 3))) (/ (* t1 v) (pow u 4)))) (/ v (pow u 2)))))>
#<alt (* -1 (/ v t1))>
#<alt (/ (+ (* -1 v) (/ (* u v) t1)) t1)>
#<alt (/ (+ (* -1 v) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))) t1)>
#<alt (/ (+ (* -1 v) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (+ (/ (* u v) t1) (/ (* (pow u 3) v) (pow t1 3))))) t1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (* u v) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (* (pow u 2) v) t1)) (* u v)) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow u 3) v) t1)) (* (pow u 2) v)) t1)) (* u v)) t1))) t1))>
#<alt (* -1 (/ v t1))>
#<alt (+ (* -1 (/ v t1)) (/ (* u v) (pow t1 2)))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* -1 (/ (* u v) (pow t1 3))) (/ v (pow t1 2)))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* u (+ (* -1 (/ v (pow t1 3))) (/ (* u v) (pow t1 4)))) (/ v (pow t1 2)))))>
#<alt (* -1 (/ v u))>
#<alt (/ (+ (* -1 v) (/ (* t1 v) u)) u)>
#<alt (/ (+ (* -1 v) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u))) u)>
#<alt (/ (+ (* -1 v) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (+ (/ (* t1 v) u) (/ (* (pow t1 3) v) (pow u 3))))) u)>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ (+ v (* -1 (/ (* t1 v) u))) u))>
#<alt (* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (* (pow t1 2) v) u)) (* t1 v)) u))) u))>
#<alt (* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow t1 3) v) u)) (* (pow t1 2) v)) u)) (* t1 v)) u))) u))>
#<alt u>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt t1>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt t1>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt t1>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt u>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt u>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (/ t1 u)>
#<alt (* t1 (+ (* -1 (/ t1 (pow u 2))) (/ 1 u)))>
#<alt (* t1 (+ (* t1 (- (/ t1 (pow u 3)) (/ 1 (pow u 2)))) (/ 1 u)))>
#<alt (* t1 (+ (* t1 (- (* t1 (+ (* -1 (/ t1 (pow u 4))) (/ 1 (pow u 3)))) (/ 1 (pow u 2)))) (/ 1 u)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ u t1)))>
#<alt (- (+ 1 (/ (pow u 2) (pow t1 2))) (/ u t1))>
#<alt (- (+ 1 (* -1 (/ (pow u 3) (pow t1 3)))) (+ (* -1 (/ (pow u 2) (pow t1 2))) (/ u t1)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ u t1)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow u 2) t1)) (* -1 u)) t1)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow u 3) t1)) (* -1 (pow u 2))) t1)) (* -1 u)) t1)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ u t1)))>
#<alt (+ 1 (* u (- (/ u (pow t1 2)) (/ 1 t1))))>
#<alt (+ 1 (* u (- (* u (+ (* -1 (/ u (pow t1 3))) (/ 1 (pow t1 2)))) (/ 1 t1))))>
#<alt (/ t1 u)>
#<alt (/ (+ t1 (* -1 (/ (pow t1 2) u))) u)>
#<alt (/ (- (+ t1 (/ (pow t1 3) (pow u 2))) (/ (pow t1 2) u)) u)>
#<alt (/ (- (+ t1 (* -1 (/ (pow t1 4) (pow u 3)))) (+ (* -1 (/ (pow t1 3) (pow u 2))) (/ (pow t1 2) u))) u)>
#<alt (/ t1 u)>
#<alt (* -1 (/ (+ (* -1 t1) (/ (pow t1 2) u)) u))>
#<alt (* -1 (/ (+ (* -1 t1) (* -1 (/ (- (/ (pow t1 3) u) (pow t1 2)) u))) u))>
#<alt (* -1 (/ (+ (* -1 t1) (* -1 (/ (- (* -1 (/ (- (/ (pow t1 4) u) (pow t1 3)) u)) (pow t1 2)) u))) u))>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (/ v t1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (* -1/2 (/ v u))>
#<alt (+ (* -1/2 (/ v u)) (* 1/4 (/ (* t1 v) (pow u 2))))>
#<alt (+ (* -1/2 (/ v u)) (* t1 (+ (* -1/8 (/ (* t1 v) (pow u 3))) (* 1/4 (/ v (pow u 2))))))>
#<alt (+ (* -1/2 (/ v u)) (* t1 (+ (* 1/4 (/ v (pow u 2))) (* t1 (+ (* -1/8 (/ v (pow u 3))) (* 1/16 (/ (* t1 v) (pow u 4))))))))>
#<alt (* -1 (/ v t1))>
#<alt (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (* 2 (/ (* u v) t1)))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (* 8 (/ (* (pow u 3) v) (pow t1 3)))))) t1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (+ (* -4 (/ (* (pow u 2) v) t1)) (* 2 (* u v))) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (* (pow u 3) v) t1)) (* 4 (* (pow u 2) v))) t1)) (* 2 (* u v))) t1))) t1))>
#<alt (* -1 (/ v (+ t1 (* 2 u))))>
#<alt (* -1 (/ v (+ t1 (* 2 u))))>
#<alt (* -1 (/ v (+ t1 (* 2 u))))>
#<alt (* -1 (/ v (+ t1 (* 2 u))))>
#<alt (* -1 (/ v (+ t1 (* 2 u))))>
#<alt (* -1 (/ v (+ t1 (* 2 u))))>
#<alt (* -1 (/ v (+ t1 (* 2 u))))>
#<alt (* -1 (/ v (+ t1 (* 2 u))))>
#<alt (* -1 (/ v (+ t1 (* 2 u))))>
#<alt (* -1 (/ v (+ t1 (* 2 u))))>
#<alt (* -1 (/ v (+ t1 (* 2 u))))>
#<alt (* -1 (/ v (+ t1 (* 2 u))))>
#<alt (* -1 (/ v t1))>
#<alt (+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* -4 (/ (* u v) (pow t1 3))) (* 2 (/ v (pow t1 2))))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (* 8 (/ (* u v) (pow t1 4))))))))>
#<alt (* -1/2 (/ v u))>
#<alt (/ (+ (* -1/2 v) (* 1/4 (/ (* t1 v) u))) u)>
#<alt (/ (+ (* -1/2 v) (+ (* -1/8 (/ (* (pow t1 2) v) (pow u 2))) (* 1/4 (/ (* t1 v) u)))) u)>
#<alt (/ (+ (* -1/2 v) (+ (* -1/8 (/ (* (pow t1 2) v) (pow u 2))) (+ (* 1/16 (/ (* (pow t1 3) v) (pow u 3))) (* 1/4 (/ (* t1 v) u))))) u)>
#<alt (* -1/2 (/ v u))>
#<alt (* -1 (/ (+ (* -1/4 (/ (* t1 v) u)) (* 1/2 v)) u))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (pow t1 2) v) u)) (* 1/4 (* t1 v))) u)) (* 1/2 v)) u))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (* (pow t1 3) v) u)) (* 1/8 (* (pow t1 2) v))) u)) (* 1/4 (* t1 v))) u)) (* 1/2 v)) u))>
#<alt t1>
#<alt (+ t1 (* 2 u))>
#<alt (+ t1 (* 2 u))>
#<alt (+ t1 (* 2 u))>
#<alt (* 2 u)>
#<alt (* u (+ 2 (/ t1 u)))>
#<alt (* u (+ 2 (/ t1 u)))>
#<alt (* u (+ 2 (/ t1 u)))>
#<alt (* 2 u)>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 2)))>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 2)))>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 2)))>
#<alt (* 2 u)>
#<alt (+ t1 (* 2 u))>
#<alt (+ t1 (* 2 u))>
#<alt (+ t1 (* 2 u))>
#<alt t1>
#<alt (* t1 (+ 1 (* 2 (/ u t1))))>
#<alt (* t1 (+ 1 (* 2 (/ u t1))))>
#<alt (* t1 (+ 1 (* 2 (/ u t1))))>
#<alt t1>
#<alt (* -1 (* t1 (- (* -2 (/ u t1)) 1)))>
#<alt (* -1 (* t1 (- (* -2 (/ u t1)) 1)))>
#<alt (* -1 (* t1 (- (* -2 (/ u t1)) 1)))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (/ v (pow (+ t1 u) 2))>
#<alt (/ v (pow (+ t1 u) 2))>
#<alt (/ v (pow (+ t1 u) 2))>
#<alt (/ v (pow (+ t1 u) 2))>
#<alt (/ v (pow (+ t1 u) 2))>
#<alt (/ v (pow (+ t1 u) 2))>
#<alt (/ v (pow (+ t1 u) 2))>
#<alt (/ v (pow (+ t1 u) 2))>
#<alt (/ v (pow (+ t1 u) 2))>
#<alt (/ v (pow (+ t1 u) 2))>
#<alt (/ v (pow (+ t1 u) 2))>
#<alt (/ v (pow (+ t1 u) 2))>
#<alt (/ v (pow u 2))>
#<alt (+ (* -2 (/ (* t1 v) (pow u 3))) (/ v (pow u 2)))>
#<alt (+ (* t1 (- (* -1 (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))) (* 2 (/ v (pow u 3))))) (/ v (pow u 2)))>
#<alt (+ (* t1 (- (* t1 (- (* -1 (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u))))) (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))) (* 2 (/ v (pow u 3))))) (/ v (pow u 2)))>
#<alt (/ v (pow t1 2))>
#<alt (/ (+ v (* -2 (/ (* u v) t1))) (pow t1 2))>
#<alt (/ (- (+ v (* -1 (/ (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v)) (pow t1 2)))) (* 2 (/ (* u v) t1))) (pow t1 2))>
#<alt (/ (- (+ v (* -1 (/ (+ (* -2 (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v)))) (* -2 (* (pow u 3) v))) (pow t1 3)))) (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) (pow t1 2))>
#<alt (/ v (pow t1 2))>
#<alt (/ (+ v (* -2 (/ (* u v) t1))) (pow t1 2))>
#<alt (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) (pow t1 2))>
#<alt (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) (pow t1 2))>
#<alt (/ v (pow t1 2))>
#<alt (+ (* -2 (/ (* u v) (pow t1 3))) (/ v (pow t1 2)))>
#<alt (+ (* u (- (* -1 (* u (+ (* -4 (/ v (pow t1 4))) (/ v (pow t1 4))))) (* 2 (/ v (pow t1 3))))) (/ v (pow t1 2)))>
#<alt (+ (* u (- (* u (- (* -1 (* u (+ (* -2 (/ v (pow t1 5))) (* -2 (/ (+ (* -4 (/ v (pow t1 4))) (/ v (pow t1 4))) t1))))) (+ (* -4 (/ v (pow t1 4))) (/ v (pow t1 4))))) (* 2 (/ v (pow t1 3))))) (/ v (pow t1 2)))>
#<alt (/ v (pow u 2))>
#<alt (/ (+ v (* -2 (/ (* t1 v) u))) (pow u 2))>
#<alt (/ (- (+ v (* -1 (/ (+ (* -4 (* (pow t1 2) v)) (* (pow t1 2) v)) (pow u 2)))) (* 2 (/ (* t1 v) u))) (pow u 2))>
#<alt (/ (- (+ v (* -1 (/ (+ (* -2 (* t1 (+ (* -4 (* (pow t1 2) v)) (* (pow t1 2) v)))) (* -2 (* (pow t1 3) v))) (pow u 3)))) (+ (* -4 (/ (* (pow t1 2) v) (pow u 2))) (+ (* 2 (/ (* t1 v) u)) (/ (* (pow t1 2) v) (pow u 2))))) (pow u 2))>
#<alt (/ v (pow u 2))>
#<alt (/ (+ v (* -2 (/ (* t1 v) u))) (pow u 2))>
#<alt (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 2) v) u)) (* -2 (* t1 v))) u))) (pow u 2))>
#<alt (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* t1 (+ (* -4 (* (pow t1 2) v)) (* (pow t1 2) v))) u)) (* 2 (/ (* (pow t1 3) v) u))) (+ (* -4 (* (pow t1 2) v)) (* (pow t1 2) v))) u)) (* -2 (* t1 v))) u))) (pow u 2))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v (+ t1 u))>
#<alt (/ v u)>
#<alt (+ (* -1 (/ (* t1 v) (pow u 2))) (/ v u))>
#<alt (+ (* t1 (- (/ (* t1 v) (pow u 3)) (/ v (pow u 2)))) (/ v u))>
#<alt (+ (* t1 (- (* t1 (- (* -1 (/ (* t1 v) (pow u 4))) (* -1 (/ v (pow u 3))))) (/ v (pow u 2)))) (/ v u))>
#<alt (/ v t1)>
#<alt (/ (+ v (* -1 (/ (* u v) t1))) t1)>
#<alt (/ (- (+ v (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1)) t1)>
#<alt (/ (- (+ v (* -1 (/ (* (pow u 3) v) (pow t1 3)))) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))) t1)>
#<alt (/ v t1)>
#<alt (* -1 (/ (+ (* -1 v) (/ (* u v) t1)) t1))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ (* (pow u 2) v) t1) (* u v)) t1))) t1))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ (* (pow u 3) v) t1) (* (pow u 2) v)) t1)) (* u v)) t1))) t1))>
#<alt (/ v t1)>
#<alt (+ (* -1 (/ (* u v) (pow t1 2))) (/ v t1))>
#<alt (+ (* u (- (/ (* u v) (pow t1 3)) (/ v (pow t1 2)))) (/ v t1))>
#<alt (+ (* u (- (* u (- (* -1 (/ (* u v) (pow t1 4))) (* -1 (/ v (pow t1 3))))) (/ v (pow t1 2)))) (/ v t1))>
#<alt (/ v u)>
#<alt (/ (+ v (* -1 (/ (* t1 v) u))) u)>
#<alt (/ (- (+ v (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u)) u)>
#<alt (/ (- (+ v (* -1 (/ (* (pow t1 3) v) (pow u 3)))) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u))) u)>
#<alt (/ v u)>
#<alt (* -1 (/ (+ (* -1 v) (/ (* t1 v) u)) u))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ (* (pow t1 2) v) u) (* t1 v)) u))) u))>
#<alt (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ (* (pow t1 3) v) u) (* (pow t1 2) v)) u)) (* t1 v)) u))) u))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))>
#<alt (* -1 (/ v t1))>
#<alt (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v t1))>
#<alt (+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))>
#<alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))>
#<alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2))>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* 2 (* t1 u))>
#<alt (* t1 (+ t1 (* 2 u)))>
#<alt (* t1 (+ t1 (* 2 u)))>
#<alt (* t1 (+ t1 (* 2 u)))>
#<alt (pow t1 2)>
#<alt (* (pow t1 2) (+ 1 (* 2 (/ u t1))))>
#<alt (* (pow t1 2) (+ 1 (* 2 (/ u t1))))>
#<alt (* (pow t1 2) (+ 1 (* 2 (/ u t1))))>
#<alt (pow t1 2)>
#<alt (* (pow t1 2) (+ 1 (* 2 (/ u t1))))>
#<alt (* (pow t1 2) (+ 1 (* 2 (/ u t1))))>
#<alt (* (pow t1 2) (+ 1 (* 2 (/ u t1))))>
#<alt (pow t1 2)>
#<alt (+ (* 2 (* t1 u)) (pow t1 2))>
#<alt (+ (* 2 (* t1 u)) (pow t1 2))>
#<alt (+ (* 2 (* t1 u)) (pow t1 2))>
#<alt (* 2 (* t1 u))>
#<alt (* u (+ (* 2 t1) (/ (pow t1 2) u)))>
#<alt (* u (+ (* 2 t1) (/ (pow t1 2) u)))>
#<alt (* u (+ (* 2 t1) (/ (pow t1 2) u)))>
#<alt (* 2 (* t1 u))>
#<alt (* -1 (* u (+ (* -2 t1) (* -1 (/ (pow t1 2) u)))))>
#<alt (* -1 (* u (+ (* -2 t1) (* -1 (/ (pow t1 2) u)))))>
#<alt (* -1 (* u (+ (* -2 t1) (* -1 (/ (pow t1 2) u)))))>
#<alt (* -1 (/ v (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v (pow (+ t1 u) 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (- (* 2 (/ (* t1 v) (pow u 3))) (/ v (pow u 2)))>
#<alt (- (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))) (/ v (pow u 2)))>
#<alt (- (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4))))))) (/ v (pow u 2)))>
#<alt (* -1 (/ v (pow t1 2)))>
#<alt (/ (- (* 2 (/ (* u v) t1)) v) (pow t1 2))>
#<alt (/ (- (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2)))) v) (pow t1 2))>
#<alt (/ (- (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2)))))) v) (pow t1 2))>
#<alt (* -1 (/ v (pow t1 2)))>
#<alt (/ (- (* 2 (/ (* u v) t1)) v) (pow t1 2))>
#<alt (/ (- (* -1 (/ (+ (* -2 (* u v)) (* -1 (/ (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v)) t1))) t1)) v) (pow t1 2))>
#<alt (/ (- (* -1 (/ (+ (* -2 (* u v)) (* -1 (/ (+ (* -4 (* (pow u 2) v)) (+ (* -1 (/ (+ (* 2 (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v)))) (* 2 (* (pow u 3) v))) t1)) (* (pow u 2) v))) t1))) t1)) v) (pow t1 2))>
#<alt (* -1 (/ v (pow t1 2)))>
#<alt (- (* 2 (/ (* u v) (pow t1 3))) (/ v (pow t1 2)))>
#<alt (- (* u (+ (* 2 (/ v (pow t1 3))) (* u (+ (* -4 (/ v (pow t1 4))) (/ v (pow t1 4)))))) (/ v (pow t1 2)))>
#<alt (- (* u (+ (* 2 (/ v (pow t1 3))) (* u (+ (* -4 (/ v (pow t1 4))) (+ (* u (+ (* -2 (/ v (pow t1 5))) (* -2 (/ (+ (* -4 (/ v (pow t1 4))) (/ v (pow t1 4))) t1)))) (/ v (pow t1 4))))))) (/ v (pow t1 2)))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (/ (- (* 2 (/ (* t1 v) u)) v) (pow u 2))>
#<alt (/ (- (+ (* -4 (/ (* (pow t1 2) v) (pow u 2))) (+ (* 2 (/ (* t1 v) u)) (/ (* (pow t1 2) v) (pow u 2)))) v) (pow u 2))>
#<alt (/ (- (+ (* -4 (/ (* (pow t1 2) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 2) v)) (* (pow t1 2) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 3) v) (pow u 3))) (+ (* 2 (/ (* t1 v) u)) (/ (* (pow t1 2) v) (pow u 2)))))) v) (pow u 2))>
#<alt (* -1 (/ v (pow u 2)))>
#<alt (/ (- (* 2 (/ (* t1 v) u)) v) (pow u 2))>
#<alt (/ (- (* -1 (/ (+ (* -2 (* t1 v)) (* -1 (/ (+ (* -4 (* (pow t1 2) v)) (* (pow t1 2) v)) u))) u)) v) (pow u 2))>
#<alt (/ (- (* -1 (/ (+ (* -2 (* t1 v)) (* -1 (/ (+ (* -4 (* (pow t1 2) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 2) v)) (* (pow t1 2) v)))) (* 2 (* (pow t1 3) v))) u)) (* (pow t1 2) v))) u))) u)) v) (pow u 2))>

Calls

132 calls:

Time	Variable		Point	Expression
5.0ms	v	@	0	(/ (/ v (+ t1 u)) (+ t1 u))
3.0ms	v	@	-inf	(/ (* (neg t1) v) (* t1 (+ (* u 2) t1)))
1.0ms	u	@	-inf	(/ (/ v (+ t1 u)) (+ t1 u))
1.0ms	v	@	0	(/ (* (neg t1) v) (* t1 (+ (* u 2) t1)))
1.0ms	t1	@	0	(/ (- 0 t1) (* u u))

rewrite466.0ms (3.8%)

Memory

44.2MiB live, 667.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 650×	`accelerator-lowering-fma.f32`
4 650×	`accelerator-lowering-fma.f64`
4 206×	`-lowering-.f32`
4 206×	`-lowering-.f64`
4 096×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	120
1	154	112
2	1273	108
0	8589	105

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1 801

Calls

Call 1

Inputs
(* (/ (neg v) (+ t1 u)) (/ t1 (+ t1 u)))
(/ (neg v) (+ t1 u))
(+ t1 u)
(/ t1 (+ t1 u))
(/ v t1)
(neg (/ v t1))
(/ (- 0 t1) (* u u))
(- 0 t1)
(* (/ (- 0 t1) (* u u)) v)
(* u u)
(/ (* (neg t1) v) (* t1 (+ (* u 2) t1)))
(+ (* u 2) t1)
(* (neg t1) v)
(neg t1)
(/ (/ v (+ t1 u)) (+ t1 u))
(/ v (+ t1 u))
(* t1 (neg (/ (/ v (+ t1 u)) (+ t1 u))))
(neg v)
(* t1 (+ (* u 2) t1))
(neg (/ (/ v (+ t1 u)) (+ t1 u)))

Outputs
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 t1 (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 0 binary64))))
(+.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t1 (/.f64 v (.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 0 binary64))) (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u))))))
(+.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t1 (/.f64 v (.f64 (+.f64 t1 u) (+.f64 t1 u))) #s(literal 0 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) #s(literal 0 binary64)))
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(.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (.f64 (+.f64 t1 u) (-.f64 t1 u))) (-.f64 #s(literal 0 binary64) (-.f64 t1 u)))
(.f64 (neg.f64 (/.f64 v (fma.f64 u (.f64 u u) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) (fma.f64 u (-.f64 u t1) (fma.f64 t1 t1 #s(literal 0 binary64))))))
(.f64 (/.f64 v (fma.f64 t1 (-.f64 #s(literal 0 binary64) t1) (.f64 u u))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) (-.f64 t1 u))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 u (.f64 u u) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (/.f64 v (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) (fma.f64 u (-.f64 u t1) (fma.f64 t1 t1 #s(literal 0 binary64))))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 t1 u) (-.f64 t1 u))) (/.f64 (/.f64 v (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) (-.f64 t1 u))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) #s(literal -1 binary64)) (/.f64 v (+.f64 t1 u)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (fma.f64 u (.f64 u u) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 #s(literal 1 binary64) (fma.f64 u (-.f64 u t1) (fma.f64 t1 t1 #s(literal 0 binary64))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 t1 u)) (.f64 (+.f64 t1 u) (-.f64 t1 u))) (/.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 #s(literal 1 binary64) (-.f64 t1 u))))
(.f64 (/.f64 (neg.f64 (/.f64 v (fma.f64 u (.f64 u u) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 u (*.f64 u u) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (fma.f64 u (-.f64 u t1) (fma.f64 t1 t1 #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 u (-.f64 u t1) (fma.f64 t1 t1 #s(literal 0 binary64))))))
(.f64 (/.f64 (neg.f64 (/.f64 v (fma.f64 u (.f64 u u) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) #s(literal 0 binary64))))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (/.f64 (fma.f64 u (-.f64 u t1) (fma.f64 t1 t1 #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 t1 u))))
(.f64 (/.f64 (/.f64 v (fma.f64 t1 (-.f64 #s(literal 0 binary64) t1) (.f64 u u))) (fma.f64 u (*.f64 u u) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (-.f64 t1 u) (/.f64 #s(literal 1 binary64) (fma.f64 u (-.f64 u t1) (fma.f64 t1 t1 #s(literal 0 binary64))))))
(.f64 (/.f64 (/.f64 v (fma.f64 t1 (-.f64 #s(literal 0 binary64) t1) (.f64 u u))) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (/.f64 (-.f64 t1 u) (/.f64 #s(literal 1 binary64) (-.f64 t1 u))))
(.f64 (/.f64 (/.f64 v (fma.f64 u (.f64 u u) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal -1 binary64)) (/.f64 (fma.f64 u (-.f64 u t1) (fma.f64 t1 t1 #s(literal 0 binary64))) (+.f64 t1 u)))
(.f64 (/.f64 (/.f64 v (.f64 (+.f64 t1 u) (-.f64 t1 u))) #s(literal -1 binary64)) (/.f64 (-.f64 t1 u) (+.f64 t1 u)))

simplify528.0ms (4.3%)

Memory

17.0MiB live, 911.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 128×	`accelerator-lowering-fma.f32`
10 128×	`accelerator-lowering-fma.f64`
5 064×	`-lowering-.f32`
5 064×	`-lowering-.f64`
4 014×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	752	5914
1	2348	5682
2	7298	5635
0	8082	5431

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

Inputs
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))
(* -1 (/ v t1))
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)
(* -1 (/ v t1))
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1))
(* -1 (/ v t1))
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))
(* -1 (/ (* t1 v) (pow u 2)))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))
(* -1 (/ (* t1 v) (pow u 2)))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v (+ t1 u)))
(* -1 (/ v u))
(+ (* -1 (/ v u)) (/ (* t1 v) (pow u 2)))
(+ (* -1 (/ v u)) (* t1 (+ (* -1 (/ (* t1 v) (pow u 3))) (/ v (pow u 2)))))
(+ (* -1 (/ v u)) (* t1 (+ (* t1 (+ (* -1 (/ v (pow u 3))) (/ (* t1 v) (pow u 4)))) (/ v (pow u 2)))))
(* -1 (/ v t1))
(/ (+ (* -1 v) (/ (* u v) t1)) t1)
(/ (+ (* -1 v) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (/ (* u v) t1))) t1)
(/ (+ (* -1 v) (+ (* -1 (/ (* (pow u 2) v) (pow t1 2))) (+ (/ (* u v) t1) (/ (* (pow u 3) v) (pow t1 3))))) t1)
(* -1 (/ v t1))
(* -1 (/ (+ v (* -1 (/ (* u v) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (* (pow u 2) v) t1)) (* u v)) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow u 3) v) t1)) (* (pow u 2) v)) t1)) (* u v)) t1))) t1))
(* -1 (/ v t1))
(+ (* -1 (/ v t1)) (/ (* u v) (pow t1 2)))
(+ (* -1 (/ v t1)) (* u (+ (* -1 (/ (* u v) (pow t1 3))) (/ v (pow t1 2)))))
(+ (* -1 (/ v t1)) (* u (+ (* u (+ (* -1 (/ v (pow t1 3))) (/ (* u v) (pow t1 4)))) (/ v (pow t1 2)))))
(* -1 (/ v u))
(/ (+ (* -1 v) (/ (* t1 v) u)) u)
(/ (+ (* -1 v) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (/ (* t1 v) u))) u)
(/ (+ (* -1 v) (+ (* -1 (/ (* (pow t1 2) v) (pow u 2))) (+ (/ (* t1 v) u) (/ (* (pow t1 3) v) (pow u 3))))) u)
(* -1 (/ v u))
(* -1 (/ (+ v (* -1 (/ (* t1 v) u))) u))
(* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (* (pow t1 2) v) u)) (* t1 v)) u))) u))
(* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow t1 3) v) u)) (* (pow t1 2) v)) u)) (* t1 v)) u))) u))
u
(+ t1 u)
(+ t1 u)
(+ t1 u)
t1
(* t1 (+ 1 (/ u t1)))
(* t1 (+ 1 (/ u t1)))
(* t1 (+ 1 (/ u t1)))
t1
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
(* -1 (* t1 (- (* -1 (/ u t1)) 1)))
t1
(+ t1 u)
(+ t1 u)
(+ t1 u)
u
(* u (+ 1 (/ t1 u)))
(* u (+ 1 (/ t1 u)))
(* u (+ 1 (/ t1 u)))
u
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(* -1 (* u (- (* -1 (/ t1 u)) 1)))
(/ t1 u)
(* t1 (+ (* -1 (/ t1 (pow u 2))) (/ 1 u)))
(* t1 (+ (* t1 (- (/ t1 (pow u 3)) (/ 1 (pow u 2)))) (/ 1 u)))
(* t1 (+ (* t1 (- (* t1 (+ (* -1 (/ t1 (pow u 4))) (/ 1 (pow u 3)))) (/ 1 (pow u 2)))) (/ 1 u)))
1
(+ 1 (* -1 (/ u t1)))
(- (+ 1 (/ (pow u 2) (pow t1 2))) (/ u t1))
(- (+ 1 (* -1 (/ (pow u 3) (pow t1 3)))) (+ (* -1 (/ (pow u 2) (pow t1 2))) (/ u t1)))
1
(+ 1 (* -1 (/ u t1)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow u 2) t1)) (* -1 u)) t1)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow u 3) t1)) (* -1 (pow u 2))) t1)) (* -1 u)) t1)))
1
(+ 1 (* -1 (/ u t1)))
(+ 1 (* u (- (/ u (pow t1 2)) (/ 1 t1))))
(+ 1 (* u (- (* u (+ (* -1 (/ u (pow t1 3))) (/ 1 (pow t1 2)))) (/ 1 t1))))
(/ t1 u)
(/ (+ t1 (* -1 (/ (pow t1 2) u))) u)
(/ (- (+ t1 (/ (pow t1 3) (pow u 2))) (/ (pow t1 2) u)) u)
(/ (- (+ t1 (* -1 (/ (pow t1 4) (pow u 3)))) (+ (* -1 (/ (pow t1 3) (pow u 2))) (/ (pow t1 2) u))) u)
(/ t1 u)
(* -1 (/ (+ (* -1 t1) (/ (pow t1 2) u)) u))
(* -1 (/ (+ (* -1 t1) (* -1 (/ (- (/ (pow t1 3) u) (pow t1 2)) u))) u))
(* -1 (/ (+ (* -1 t1) (* -1 (/ (- (* -1 (/ (- (/ (pow t1 4) u) (pow t1 3)) u)) (pow t1 2)) u))) u))
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(/ v t1)
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ v t1))
(* -1 (/ t1 (pow u 2)))
(* -1 (/ t1 (pow u 2)))
(* -1 (/ t1 (pow u 2)))
(* -1 (/ t1 (pow u 2)))
(* -1 (/ t1 (pow u 2)))
(* -1 (/ t1 (pow u 2)))
(* -1 (/ t1 (pow u 2)))
(* -1 (/ t1 (pow u 2)))
(* -1 (/ t1 (pow u 2)))
(* -1 (/ t1 (pow u 2)))
(* -1 (/ t1 (pow u 2)))
(* -1 (/ t1 (pow u 2)))
(* -1 (/ t1 (pow u 2)))
(* -1 (/ t1 (pow u 2)))
(* -1 (/ t1 (pow u 2)))
(* -1 (/ t1 (pow u 2)))
(* -1 (/ t1 (pow u 2)))
(* -1 (/ t1 (pow u 2)))
(* -1 (/ t1 (pow u 2)))
(* -1 (/ t1 (pow u 2)))
(* -1 (/ t1 (pow u 2)))
(* -1 (/ t1 (pow u 2)))
(* -1 (/ t1 (pow u 2)))
(* -1 (/ t1 (pow u 2)))
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 t1)
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
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(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(* -1/2 (/ v u))
(+ (* -1/2 (/ v u)) (* 1/4 (/ (* t1 v) (pow u 2))))
(+ (* -1/2 (/ v u)) (* t1 (+ (* -1/8 (/ (* t1 v) (pow u 3))) (* 1/4 (/ v (pow u 2))))))
(+ (* -1/2 (/ v u)) (* t1 (+ (* 1/4 (/ v (pow u 2))) (* t1 (+ (* -1/8 (/ v (pow u 3))) (* 1/16 (/ (* t1 v) (pow u 4))))))))
(* -1 (/ v t1))
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (* 2 (/ (* u v) t1)))) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (* 8 (/ (* (pow u 3) v) (pow t1 3)))))) t1)
(* -1 (/ v t1))
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (+ (* -4 (/ (* (pow u 2) v) t1)) (* 2 (* u v))) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (* (pow u 3) v) t1)) (* 4 (* (pow u 2) v))) t1)) (* 2 (* u v))) t1))) t1))
(* -1 (/ v (+ t1 (* 2 u))))
(* -1 (/ v (+ t1 (* 2 u))))
(* -1 (/ v (+ t1 (* 2 u))))
(* -1 (/ v (+ t1 (* 2 u))))
(* -1 (/ v (+ t1 (* 2 u))))
(* -1 (/ v (+ t1 (* 2 u))))
(* -1 (/ v (+ t1 (* 2 u))))
(* -1 (/ v (+ t1 (* 2 u))))
(* -1 (/ v (+ t1 (* 2 u))))
(* -1 (/ v (+ t1 (* 2 u))))
(* -1 (/ v (+ t1 (* 2 u))))
(* -1 (/ v (+ t1 (* 2 u))))
(* -1 (/ v t1))
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))
(+ (* -1 (/ v t1)) (* u (+ (* -4 (/ (* u v) (pow t1 3))) (* 2 (/ v (pow t1 2))))))
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (* 8 (/ (* u v) (pow t1 4))))))))
(* -1/2 (/ v u))
(/ (+ (* -1/2 v) (* 1/4 (/ (* t1 v) u))) u)
(/ (+ (* -1/2 v) (+ (* -1/8 (/ (* (pow t1 2) v) (pow u 2))) (* 1/4 (/ (* t1 v) u)))) u)
(/ (+ (* -1/2 v) (+ (* -1/8 (/ (* (pow t1 2) v) (pow u 2))) (+ (* 1/16 (/ (* (pow t1 3) v) (pow u 3))) (* 1/4 (/ (* t1 v) u))))) u)
(* -1/2 (/ v u))
(* -1 (/ (+ (* -1/4 (/ (* t1 v) u)) (* 1/2 v)) u))
(* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (pow t1 2) v) u)) (* 1/4 (* t1 v))) u)) (* 1/2 v)) u))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (* (pow t1 3) v) u)) (* 1/8 (* (pow t1 2) v))) u)) (* 1/4 (* t1 v))) u)) (* 1/2 v)) u))
t1
(+ t1 (* 2 u))
(+ t1 (* 2 u))
(+ t1 (* 2 u))
(* 2 u)
(* u (+ 2 (/ t1 u)))
(* u (+ 2 (/ t1 u)))
(* u (+ 2 (/ t1 u)))
(* 2 u)
(* -1 (* u (- (* -1 (/ t1 u)) 2)))
(* -1 (* u (- (* -1 (/ t1 u)) 2)))
(* -1 (* u (- (* -1 (/ t1 u)) 2)))
(* 2 u)
(+ t1 (* 2 u))
(+ t1 (* 2 u))
(+ t1 (* 2 u))
t1
(* t1 (+ 1 (* 2 (/ u t1))))
(* t1 (+ 1 (* 2 (/ u t1))))
(* t1 (+ 1 (* 2 (/ u t1))))
t1
(* -1 (* t1 (- (* -2 (/ u t1)) 1)))
(* -1 (* t1 (- (* -2 (/ u t1)) 1)))
(* -1 (* t1 (- (* -2 (/ u t1)) 1)))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
(* -1 (* t1 v))
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(* -1 t1)
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(* -1 t1)
(* -1 t1)
(/ v (pow (+ t1 u) 2))
(/ v (pow (+ t1 u) 2))
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(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/.f64 (fma.f64 t1 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal 2 binary64) (.f64 t1 (/.f64 (.f64 t1 v) u)))) (.f64 u u))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 t1 (.f64 t1 (.f64 t1 v))) (.f64 u u)) (-.f64 (fma.f64 t1 (/.f64 (.f64 t1 (.f64 t1 v)) (.f64 u u)) (.f64 #s(literal 2 binary64) (.f64 t1 (/.f64 (.f64 t1 v) u)))) (.f64 t1 v))) (.f64 u u))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))
(/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (.f64 t1 (.f64 (.f64 t1 (.f64 t1 v)) #s(literal -3 binary64))) (/.f64 t1 (.f64 u (.f64 u u))) (.f64 (/.f64 v (.f64 u (.f64 u u))) (.f64 (.f64 t1 (.f64 t1 t1)) t1))) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 t1 (.f64 t1 (.f64 t1 v))) (.f64 u u)) (-.f64 (fma.f64 t1 (/.f64 (.f64 t1 (.f64 t1 v)) (.f64 u u)) (.f64 #s(literal 2 binary64) (.f64 t1 (/.f64 (.f64 t1 v) u)))) (.f64 t1 v)))) (.f64 u u))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/.f64 (fma.f64 t1 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal 2 binary64) (.f64 t1 (/.f64 (.f64 t1 v) u)))) (.f64 u u))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2))
(/.f64 (neg.f64 (fma.f64 t1 v (/.f64 (fma.f64 v (.f64 #s(literal -2 binary64) (.f64 t1 t1)) (/.f64 (.f64 #s(literal 3 binary64) (.f64 t1 (.f64 t1 (.f64 t1 v)))) u)) u))) (*.f64 u u))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2))
(/.f64 (neg.f64 (fma.f64 t1 v (/.f64 (fma.f64 v (.f64 #s(literal -2 binary64) (.f64 t1 t1)) (/.f64 (fma.f64 t1 (.f64 (.f64 t1 (.f64 t1 v)) #s(literal -3 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (fma.f64 t1 (.f64 t1 (.f64 t1 (.f64 t1 v))) (.f64 t1 (.f64 t1 (.f64 (.f64 t1 (.f64 t1 v)) #s(literal -3 binary64)))))) u)) (-.f64 #s(literal 0 binary64) u))) u))) (*.f64 u u))
(* -1 v)
(-.f64 #s(literal 0 binary64) v)
(* -1 v)
(-.f64 #s(literal 0 binary64) v)
(* -1 v)
(-.f64 #s(literal 0 binary64) v)
(* -1 v)
(-.f64 #s(literal 0 binary64) v)
(* -1 v)
(-.f64 #s(literal 0 binary64) v)
(* -1 v)
(-.f64 #s(literal 0 binary64) v)
(* -1 v)
(-.f64 #s(literal 0 binary64) v)
(* -1 v)
(-.f64 #s(literal 0 binary64) v)
(* -1 v)
(-.f64 #s(literal 0 binary64) v)
(* -1 v)
(-.f64 #s(literal 0 binary64) v)
(* -1 v)
(-.f64 #s(literal 0 binary64) v)
(* -1 v)
(-.f64 #s(literal 0 binary64) v)
(* 2 (* t1 u))
(.f64 t1 (.f64 u #s(literal 2 binary64)))
(* t1 (+ t1 (* 2 u)))
(*.f64 t1 (fma.f64 u #s(literal 2 binary64) t1))
(* t1 (+ t1 (* 2 u)))
(*.f64 t1 (fma.f64 u #s(literal 2 binary64) t1))
(* t1 (+ t1 (* 2 u)))
(*.f64 t1 (fma.f64 u #s(literal 2 binary64) t1))
(pow t1 2)
(*.f64 t1 t1)
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(.f64 t1 (.f64 t1 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal 1 binary64))))
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(.f64 t1 (.f64 t1 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal 1 binary64))))
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(.f64 t1 (.f64 t1 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal 1 binary64))))
(pow t1 2)
(*.f64 t1 t1)
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(.f64 t1 (.f64 t1 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal 1 binary64))))
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(.f64 t1 (.f64 t1 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal 1 binary64))))
(* (pow t1 2) (+ 1 (* 2 (/ u t1))))
(.f64 t1 (.f64 t1 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal 1 binary64))))
(pow t1 2)
(*.f64 t1 t1)
(+ (* 2 (* t1 u)) (pow t1 2))
(*.f64 t1 (fma.f64 u #s(literal 2 binary64) t1))
(+ (* 2 (* t1 u)) (pow t1 2))
(*.f64 t1 (fma.f64 u #s(literal 2 binary64) t1))
(+ (* 2 (* t1 u)) (pow t1 2))
(*.f64 t1 (fma.f64 u #s(literal 2 binary64) t1))
(* 2 (* t1 u))
(.f64 t1 (.f64 u #s(literal 2 binary64)))
(* u (+ (* 2 t1) (/ (pow t1 2) u)))
(.f64 u (fma.f64 t1 #s(literal 2 binary64) (/.f64 (.f64 t1 t1) u)))
(* u (+ (* 2 t1) (/ (pow t1 2) u)))
(.f64 u (fma.f64 t1 #s(literal 2 binary64) (/.f64 (.f64 t1 t1) u)))
(* u (+ (* 2 t1) (/ (pow t1 2) u)))
(.f64 u (fma.f64 t1 #s(literal 2 binary64) (/.f64 (.f64 t1 t1) u)))
(* 2 (* t1 u))
(.f64 t1 (.f64 u #s(literal 2 binary64)))
(* -1 (* u (+ (* -2 t1) (* -1 (/ (pow t1 2) u)))))
(.f64 (-.f64 #s(literal 0 binary64) u) (-.f64 (.f64 t1 #s(literal -2 binary64)) (/.f64 (*.f64 t1 t1) u)))
(* -1 (* u (+ (* -2 t1) (* -1 (/ (pow t1 2) u)))))
(.f64 (-.f64 #s(literal 0 binary64) u) (-.f64 (.f64 t1 #s(literal -2 binary64)) (/.f64 (*.f64 t1 t1) u)))
(* -1 (* u (+ (* -2 t1) (* -1 (/ (pow t1 2) u)))))
(.f64 (-.f64 #s(literal 0 binary64) u) (-.f64 (.f64 t1 #s(literal -2 binary64)) (/.f64 (*.f64 t1 t1) u)))
(* -1 (/ v (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ v (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ v (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ v (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ v (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ v (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ v (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ v (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ v (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ v (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ v (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ v (pow (+ t1 u) 2)))
(/.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 (+.f64 t1 u) (+.f64 t1 u)))
(* -1 (/ v (pow u 2)))
(-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 u u)))
(- (* 2 (/ (* t1 v) (pow u 3))) (/ v (pow u 2)))
(/.f64 (-.f64 (.f64 t1 (.f64 (/.f64 v u) #s(literal 2 binary64))) v) (*.f64 u u))
(- (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4)))))) (/ v (pow u 2)))
(+.f64 (/.f64 (-.f64 (.f64 t1 (.f64 (/.f64 v u) #s(literal 2 binary64))) v) (.f64 u u)) (.f64 (/.f64 (.f64 #s(literal -3 binary64) v) (pow.f64 u #s(literal 4 binary64))) (.f64 t1 t1)))
(- (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4))))))) (/ v (pow u 2)))
(+.f64 (/.f64 (-.f64 (.f64 t1 (.f64 (/.f64 v u) #s(literal 2 binary64))) v) (.f64 u u)) (.f64 (fma.f64 (.f64 t1 #s(literal -2 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 v (pow.f64 u #s(literal 4 binary64))) u) (/.f64 v (pow.f64 u #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -3 binary64) v) (pow.f64 u #s(literal 4 binary64)))) (*.f64 t1 t1)))
(* -1 (/ v (pow t1 2)))
(/.f64 v (-.f64 #s(literal 0 binary64) (*.f64 t1 t1)))
(/ (- (* 2 (/ (* u v) t1)) v) (pow t1 2))
(/.f64 (fma.f64 u (.f64 (/.f64 v t1) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) v)) (.f64 t1 t1))
(/ (- (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2)))) v) (pow t1 2))
(/.f64 (-.f64 (fma.f64 (.f64 u u) (/.f64 v (.f64 t1 t1)) (fma.f64 (.f64 v u) (/.f64 #s(literal 2 binary64) t1) (/.f64 (.f64 v (.f64 (.f64 u u) #s(literal -4 binary64))) (.f64 t1 t1)))) v) (.f64 t1 t1))
(/ (- (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2)))))) v) (pow t1 2))
(/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 u (/.f64 (.f64 (.f64 v (.f64 u u)) #s(literal -3 binary64)) (.f64 t1 (.f64 t1 t1))) (/.f64 (.f64 u (.f64 v (.f64 u u))) (.f64 t1 (.f64 t1 t1)))) (-.f64 (fma.f64 (.f64 u u) (/.f64 v (.f64 t1 t1)) (fma.f64 (.f64 v u) (/.f64 #s(literal 2 binary64) t1) (/.f64 (.f64 v (.f64 (.f64 u u) #s(literal -4 binary64))) (.f64 t1 t1)))) v)) (.f64 t1 t1))
(* -1 (/ v (pow t1 2)))
(/.f64 v (-.f64 #s(literal 0 binary64) (*.f64 t1 t1)))
(/ (- (* 2 (/ (* u v) t1)) v) (pow t1 2))
(/.f64 (fma.f64 u (.f64 (/.f64 v t1) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) v)) (.f64 t1 t1))
(/ (- (* -1 (/ (+ (* -2 (* u v)) (* -1 (/ (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v)) t1))) t1)) v) (pow t1 2))
(/.f64 (-.f64 (/.f64 (fma.f64 v (.f64 u #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 3 binary64) (.f64 v (.f64 u u))) t1)) (-.f64 #s(literal 0 binary64) t1)) v) (*.f64 t1 t1))
(/ (- (* -1 (/ (+ (* -2 (* u v)) (* -1 (/ (+ (* -4 (* (pow u 2) v)) (+ (* -1 (/ (+ (* 2 (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v)))) (* 2 (* (pow u 3) v))) t1)) (* (pow u 2) v))) t1))) t1)) v) (pow t1 2))
(/.f64 (-.f64 (/.f64 (-.f64 (.f64 v (.f64 u #s(literal -2 binary64))) (/.f64 (fma.f64 (.f64 v (.f64 u u)) #s(literal -3 binary64) (/.f64 (.f64 #s(literal -2 binary64) (fma.f64 #s(literal -3 binary64) (.f64 u (.f64 v (.f64 u u))) (.f64 u (.f64 v (.f64 u u))))) t1)) t1)) (-.f64 #s(literal 0 binary64) t1)) v) (.f64 t1 t1))
(* -1 (/ v (pow t1 2)))
(/.f64 v (-.f64 #s(literal 0 binary64) (*.f64 t1 t1)))
(- (* 2 (/ (* u v) (pow t1 3))) (/ v (pow t1 2)))
(/.f64 (fma.f64 u (.f64 (/.f64 v t1) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) v)) (.f64 t1 t1))
(- (* u (+ (* 2 (/ v (pow t1 3))) (* u (+ (* -4 (/ v (pow t1 4))) (/ v (pow t1 4)))))) (/ v (pow t1 2)))
(fma.f64 u (fma.f64 u (/.f64 (.f64 #s(literal -3 binary64) v) (.f64 (.f64 t1 (.f64 t1 t1)) t1)) (/.f64 (.f64 v #s(literal 2 binary64)) (.f64 t1 (.f64 t1 t1)))) (/.f64 v (-.f64 #s(literal 0 binary64) (.f64 t1 t1))))
(- (* u (+ (* 2 (/ v (pow t1 3))) (* u (+ (* -4 (/ v (pow t1 4))) (+ (* u (+ (* -2 (/ v (pow t1 5))) (* -2 (/ (+ (* -4 (/ v (pow t1 4))) (/ v (pow t1 4))) t1)))) (/ v (pow t1 4))))))) (/ v (pow t1 2)))
(fma.f64 u (fma.f64 u (fma.f64 #s(literal -2 binary64) (.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 v (.f64 (.f64 t1 (.f64 t1 t1)) t1)) t1) (/.f64 v (pow.f64 t1 #s(literal 5 binary64)))) u) (/.f64 (.f64 #s(literal -3 binary64) v) (.f64 (.f64 t1 (.f64 t1 t1)) t1))) (/.f64 (.f64 v #s(literal 2 binary64)) (.f64 t1 (.f64 t1 t1)))) (/.f64 v (-.f64 #s(literal 0 binary64) (.f64 t1 t1))))
(* -1 (/ v (pow u 2)))
(-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 u u)))
(/ (- (* 2 (/ (* t1 v) u)) v) (pow u 2))
(/.f64 (-.f64 (.f64 t1 (.f64 (/.f64 v u) #s(literal 2 binary64))) v) (*.f64 u u))
(/ (- (+ (* -4 (/ (* (pow t1 2) v) (pow u 2))) (+ (* 2 (/ (* t1 v) u)) (/ (* (pow t1 2) v) (pow u 2)))) v) (pow u 2))
(/.f64 (fma.f64 (.f64 t1 t1) (.f64 (/.f64 v (.f64 u u)) #s(literal -4 binary64)) (fma.f64 t1 (.f64 t1 (/.f64 v (.f64 u u))) (-.f64 (.f64 t1 (.f64 (/.f64 v u) #s(literal 2 binary64))) v))) (.f64 u u))
(/ (- (+ (* -4 (/ (* (pow t1 2) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 2) v)) (* (pow t1 2) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 3) v) (pow u 3))) (+ (* 2 (/ (* t1 v) u)) (/ (* (pow t1 2) v) (pow u 2)))))) v) (pow u 2))
(/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 t1 (/.f64 (.f64 (.f64 t1 (.f64 t1 v)) #s(literal -3 binary64)) (.f64 u (.f64 u u))) (/.f64 (.f64 t1 (.f64 t1 (.f64 t1 v))) (.f64 u (.f64 u u)))) (fma.f64 t1 (.f64 t1 (/.f64 v (.f64 u u))) (fma.f64 t1 (.f64 (/.f64 v u) #s(literal 2 binary64)) (.f64 (.f64 t1 t1) (.f64 (/.f64 v (.f64 u u)) #s(literal -4 binary64)))))) v) (.f64 u u))
(* -1 (/ v (pow u 2)))
(-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 u u)))
(/ (- (* 2 (/ (* t1 v) u)) v) (pow u 2))
(/.f64 (-.f64 (.f64 t1 (.f64 (/.f64 v u) #s(literal 2 binary64))) v) (*.f64 u u))
(/ (- (* -1 (/ (+ (* -2 (* t1 v)) (* -1 (/ (+ (* -4 (* (pow t1 2) v)) (* (pow t1 2) v)) u))) u)) v) (pow u 2))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 t1 (.f64 v #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 3 binary64) (.f64 t1 (.f64 t1 v))) u)) u)) v) (*.f64 u u))
(/ (- (* -1 (/ (+ (* -2 (* t1 v)) (* -1 (/ (+ (* -4 (* (pow t1 2) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 2) v)) (* (pow t1 2) v)))) (* 2 (* (pow t1 3) v))) u)) (* (pow t1 2) v))) u))) u)) v) (pow u 2))
(/.f64 (-.f64 (/.f64 (-.f64 (.f64 t1 (.f64 v #s(literal -2 binary64))) (/.f64 (fma.f64 (.f64 t1 (.f64 t1 v)) #s(literal -3 binary64) (/.f64 (.f64 #s(literal -2 binary64) (fma.f64 t1 (.f64 t1 (.f64 t1 v)) (.f64 t1 (.f64 (.f64 t1 (.f64 t1 v)) #s(literal -3 binary64))))) u)) u)) (-.f64 #s(literal 0 binary64) u)) v) (.f64 u u))

eval349.0ms (2.8%)

Memory: -1.8MiB live, 814.3MiB allocated
Compiler: Compiled 56 212 to 5 067 computations (91% saved)

prune413.0ms (3.4%)

Memory

-8.1MiB live, 718.8MiB allocated

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	2 595	13	2 608
Fresh	6	13	19
Picked	2	3	5
Done	0	0	0
Total	2 603	29	2 632

Accuracy

100.0%

Counts

2 632 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.3%	(/.f64 (fma.f64 v (/.f64 u t1) (-.f64 #s(literal 0 binary64) v)) (+.f64 t1 u))
▶	54.4%	(/.f64 (/.f64 (fma.f64 v (-.f64 #s(literal 0 binary64) t1) #s(literal 0 binary64)) u) u)
	53.7%	(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u))
	86.2%	(/.f64 (-.f64 #s(literal 0 binary64) t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)))
	56.6%	(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 t1 u)) v) u)
	71.4%	(/.f64 (.f64 (neg.f64 t1) v) (fma.f64 u u (fma.f64 t1 u (.f64 t1 (+.f64 t1 u)))))
	50.2%	(/.f64 (.f64 (neg.f64 t1) v) (.f64 u u))
▶	93.8%	(/.f64 v (neg.f64 (*.f64 (/.f64 (+.f64 t1 u) t1) (+.f64 t1 u))))
▶	46.2%	(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
	80.0%	(/.f64 #s(literal -1 binary64) (.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) (.f64 v t1))))
	31.2%	(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 v v #s(literal 0 binary64)) (*.f64 v t1)))
▶	14.6%	(-.f64 #s(literal 0 binary64) (/.f64 v u))
	50.2%	(.f64 (fma.f64 v t1 #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (.f64 u u)))
	57.7%	(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) u) (/.f64 t1 u))
✓	98.0%	(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
	57.2%	(*.f64 (/.f64 (neg.f64 v) u) (/.f64 t1 (+.f64 t1 u)))
	75.2%	(.f64 (/.f64 (neg.f64 t1) (.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
	50.1%	(.f64 (/.f64 (neg.f64 t1) (.f64 u u)) v)
	14.6%	(*.f64 (/.f64 v u) #s(literal -1/2 binary64))
	54.3%	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 u #s(literal 2 binary64) t1)) v)
	46.9%	(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
▶	50.1%	(.f64 (.f64 t1 (/.f64 #s(literal -1 binary64) (*.f64 u u))) v)
✓	86.5%	(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u))))
	59.5%	(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) u)))
	52.7%	(.f64 t1 (neg.f64 (/.f64 v (.f64 u (+.f64 t1 u)))))
	52.3%	(.f64 t1 (neg.f64 (/.f64 v (.f64 u u))))
	54.4%	(neg.f64 (/.f64 v (fma.f64 u #s(literal 2 binary64) t1)))
	50.1%	(neg.f64 (/.f64 v (/.f64 (*.f64 u u) t1)))
✓	47.1%	(neg.f64 (/.f64 v t1))

Compiler

Compiled 671 to 421 computations (37.3% saved)

simplify193.0ms (1.6%)

Memory

-2.3MiB live, 352.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) t1)
✓	cost-diff	0	(fma.f64 v (-.f64 #s(literal 0 binary64) t1) #s(literal 0 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 v (-.f64 #s(literal 0 binary64) t1) #s(literal 0 binary64)) u)
✓	cost-diff	320	(/.f64 (/.f64 (fma.f64 v (-.f64 #s(literal 0 binary64) t1) #s(literal 0 binary64)) u) u)
✓	cost-diff	-64	(*.f64 u u)
✓	cost-diff	-64	(.f64 (.f64 t1 (/.f64 #s(literal -1 binary64) (*.f64 u u))) v)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 u u))
✓	cost-diff	128	(.f64 t1 (/.f64 #s(literal -1 binary64) (.f64 u u)))
✓	cost-diff	0	(/.f64 t1 v)
✓	cost-diff	512	(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
✓	cost-diff	0	(/.f64 v u)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (/.f64 v u))
✓	cost-diff	0	(+.f64 t1 u)
✓	cost-diff	0	(/.f64 (+.f64 t1 u) t1)
✓	cost-diff	128	(neg.f64 (*.f64 (/.f64 (+.f64 t1 u) t1) (+.f64 t1 u)))
✓	cost-diff	128	(/.f64 v (neg.f64 (*.f64 (/.f64 (+.f64 t1 u) t1) (+.f64 t1 u))))

Rules

5 676×	`accelerator-lowering-fma.f32`
5 676×	`accelerator-lowering-fma.f64`
2 744×	`-lowering-.f32`
2 744×	`-lowering-.f64`
1 548×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	116
1	60	113
2	190	112
3	458	112
4	949	110
5	2073	110
6	6298	110
0	8270	110

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ v (neg (* (/ (+ t1 u) t1) (+ t1 u))))
v
(neg (* (/ (+ t1 u) t1) (+ t1 u)))
(* (/ (+ t1 u) t1) (+ t1 u))
(/ (+ t1 u) t1)
(+ t1 u)
t1
u
(- 0 (/ v u))
0
(/ v u)
v
u
(/ -1 (/ t1 v))
-1
(/ t1 v)
t1
v
(* (* t1 (/ -1 (* u u))) v)
(* t1 (/ -1 (* u u)))
t1
(/ -1 (* u u))
-1
(* u u)
u
v
(/ (/ (+ (* v (- 0 t1)) 0) u) u)
(/ (+ (* v (- 0 t1)) 0) u)
(+ (* v (- 0 t1)) 0)
v
(- 0 t1)
0
t1
u

Outputs
(/ v (neg (* (/ (+ t1 u) t1) (+ t1 u))))
(/.f64 (fma.f64 v t1 #s(literal 0 binary64)) (fma.f64 (+.f64 t1 u) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) #s(literal 0 binary64)))
v
(neg (* (/ (+ t1 u) t1) (+ t1 u)))
(fma.f64 (+.f64 t1 u) (-.f64 #s(literal -1 binary64) (/.f64 u t1)) #s(literal 0 binary64))
(* (/ (+ t1 u) t1) (+ t1 u))
(fma.f64 u (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 u t1) #s(literal 1 binary64))) t1)
(/ (+ t1 u) t1)
(+.f64 (/.f64 u t1) #s(literal 1 binary64))
(+ t1 u)
(+.f64 t1 u)
t1
u
(- 0 (/ v u))
(-.f64 #s(literal 0 binary64) (/.f64 v u))
0
#s(literal 0 binary64)
(/ v u)
(/.f64 v u)
v
u
(/ -1 (/ t1 v))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
-1
#s(literal -1 binary64)
(/ t1 v)
(/.f64 t1 v)
t1
v
(* (* t1 (/ -1 (* u u))) v)
(fma.f64 v (-.f64 #s(literal 0 binary64) (/.f64 t1 (fma.f64 u u #s(literal 0 binary64)))) #s(literal 0 binary64))
(* t1 (/ -1 (* u u)))
(-.f64 #s(literal 0 binary64) (/.f64 t1 (fma.f64 u u #s(literal 0 binary64))))
t1
(/ -1 (* u u))
(/.f64 #s(literal -1 binary64) (fma.f64 u u #s(literal 0 binary64)))
-1
#s(literal -1 binary64)
(* u u)
(fma.f64 u u #s(literal 0 binary64))
u
v
(/ (/ (+ (* v (- 0 t1)) 0) u) u)
(fma.f64 v (-.f64 #s(literal 0 binary64) (/.f64 t1 (fma.f64 u u #s(literal 0 binary64)))) #s(literal 0 binary64))
(/ (+ (* v (- 0 t1)) 0) u)
(fma.f64 (/.f64 v u) (-.f64 #s(literal 0 binary64) t1) #s(literal 0 binary64))
(+ (* v (- 0 t1)) 0)
(-.f64 #s(literal 0 binary64) (fma.f64 v t1 #s(literal 0 binary64)))
v
(- 0 t1)
(-.f64 #s(literal 0 binary64) t1)
0
#s(literal 0 binary64)
t1
u

localize72.0ms (0.6%)

Memory

-13.1MiB live, 115.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 v (-.f64 #s(literal 0 binary64) t1) #s(literal 0 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) t1)
✓	accuracy	98.0%	(/.f64 (/.f64 (fma.f64 v (-.f64 #s(literal 0 binary64) t1) #s(literal 0 binary64)) u) u)
✓	accuracy	91.5%	(/.f64 (fma.f64 v (-.f64 #s(literal 0 binary64) t1) #s(literal 0 binary64)) u)
✓	accuracy	100.0%	(*.f64 u u)
✓	accuracy	99.4%	(/.f64 #s(literal -1 binary64) (*.f64 u u))
✓	accuracy	89.3%	(.f64 t1 (/.f64 #s(literal -1 binary64) (.f64 u u)))
✓	accuracy	86.1%	(.f64 (.f64 t1 (/.f64 #s(literal -1 binary64) (*.f64 u u))) v)
✓	accuracy	100.0%	(/.f64 t1 v)
✓	accuracy	98.9%	(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
✓	accuracy	100.0%	(/.f64 v u)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (/.f64 v u))
✓	accuracy	100.0%	(neg.f64 (*.f64 (/.f64 (+.f64 t1 u) t1) (+.f64 t1 u)))
✓	accuracy	100.0%	(/.f64 (+.f64 t1 u) t1)
✓	accuracy	99.8%	(*.f64 (/.f64 (+.f64 t1 u) t1) (+.f64 t1 u))
✓	accuracy	93.8%	(/.f64 v (neg.f64 (*.f64 (/.f64 (+.f64 t1 u) t1) (+.f64 t1 u))))

Samples

43.0ms

256×

valid

Compiler

Compiled 125 to 25 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 14.0ms (50.5% of total)

ival-mult: 7.0ms (25.2% of total)

ival-add: 3.0ms (10.8% of total)

ival-sub: 2.0ms (7.2% of total)

ival-neg: 1.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.2%)

Memory

-11.3MiB live, 26.6MiB allocated

Counts

17 → 420

Calls

Call 1

Inputs
#<alt (/ v (neg (* (/ (+ t1 u) t1) (+ t1 u))))>
#<alt (neg (* (/ (+ t1 u) t1) (+ t1 u)))>
#<alt (/ (+ t1 u) t1)>
#<alt (+ t1 u)>
#<alt (- 0 (/ v u))>
#<alt (/ v u)>
#<alt (/ -1 (/ t1 v))>
#<alt (/ t1 v)>
#<alt (* t1 (/ -1 (* u u)))>
#<alt (/ -1 (* u u))>
#<alt (* (* t1 (/ -1 (* u u))) v)>
#<alt (* u u)>
#<alt (/ (/ (+ (* v (- 0 t1)) 0) u) u)>
#<alt (/ (+ (* v (- 0 t1)) 0) u)>
#<alt (+ (* v (- 0 t1)) 0)>
#<alt (- 0 t1)>
#<alt (* (/ (+ t1 u) t1) (+ t1 u))>

Outputs
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow (+ t1 u) 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))>
#<alt (* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))>
#<alt (* -1 (/ v t1))>
#<alt (/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)>
#<alt (/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1))>
#<alt (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1))>
#<alt (* -1 (/ v t1))>
#<alt (+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))>
#<alt (+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))>
#<alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))>
#<alt (/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2))>
#<alt (/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (/ (- (* -2 (* t1 u)) (pow u 2)) t1)>
#<alt (/ (- (* t1 (- (* -1 t1) (* 2 u))) (pow u 2)) t1)>
#<alt (/ (- (* t1 (- (* -1 t1) (* 2 u))) (pow u 2)) t1)>
#<alt (* -1 t1)>
#<alt (* t1 (- (* -2 (/ u t1)) 1))>
#<alt (* t1 (- (* -1 (/ (pow u 2) (pow t1 2))) (+ 1 (* 2 (/ u t1)))))>
#<alt (* t1 (- (* -1 (/ (pow u 2) (pow t1 2))) (+ 1 (* 2 (/ u t1)))))>
#<alt (* -1 t1)>
#<alt (* -1 (* t1 (+ 1 (* 2 (/ u t1)))))>
#<alt (* -1 (* t1 (+ 1 (* -1 (/ (- (* -1 (/ (pow u 2) t1)) (* 2 u)) t1)))))>
#<alt (* -1 (* t1 (+ 1 (* -1 (/ (- (* -1 (/ (pow u 2) t1)) (* 2 u)) t1)))))>
#<alt (* -1 t1)>
#<alt (- (* -2 u) t1)>
#<alt (- (* u (- (* -1 (/ u t1)) 2)) t1)>
#<alt (- (* u (- (* -1 (/ u t1)) 2)) t1)>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (* (pow u 2) (+ (/ 1 t1) (* 2 (/ 1 u)))))>
#<alt (* (pow u 2) (- (* -1 (/ t1 (pow u 2))) (+ (/ 1 t1) (* 2 (/ 1 u)))))>
#<alt (* (pow u 2) (- (* -1 (/ t1 (pow u 2))) (+ (/ 1 t1) (* 2 (/ 1 u)))))>
#<alt (* -1 (/ (pow u 2) t1))>
#<alt (* -1 (* (pow u 2) (+ (/ 1 t1) (* 2 (/ 1 u)))))>
#<alt (* (pow u 2) (- (* -1 (/ (+ 2 (/ t1 u)) u)) (/ 1 t1)))>
#<alt (* (pow u 2) (- (* -1 (/ (+ 2 (/ t1 u)) u)) (/ 1 t1)))>
#<alt (/ u t1)>
#<alt (/ (+ t1 u) t1)>
#<alt (/ (+ t1 u) t1)>
#<alt (/ (+ t1 u) t1)>
#<alt 1>
#<alt (+ 1 (/ u t1))>
#<alt (+ 1 (/ u t1))>
#<alt (+ 1 (/ u t1))>
#<alt 1>
#<alt (+ 1 (/ u t1))>
#<alt (+ 1 (/ u t1))>
#<alt (+ 1 (/ u t1))>
#<alt 1>
#<alt (+ 1 (/ u t1))>
#<alt (+ 1 (/ u t1))>
#<alt (+ 1 (/ u t1))>
#<alt (/ u t1)>
#<alt (* u (+ (/ 1 t1) (/ 1 u)))>
#<alt (* u (+ (/ 1 t1) (/ 1 u)))>
#<alt (* u (+ (/ 1 t1) (/ 1 u)))>
#<alt (/ u t1)>
#<alt (* u (+ (/ 1 t1) (/ 1 u)))>
#<alt (* u (+ (/ 1 t1) (/ 1 u)))>
#<alt (* u (+ (/ 1 t1) (/ 1 u)))>
#<alt u>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt t1>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt (* t1 (+ 1 (/ u t1)))>
#<alt t1>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt (* -1 (* t1 (- (* -1 (/ u t1)) 1)))>
#<alt t1>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt (+ t1 u)>
#<alt u>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt (* u (+ 1 (/ t1 u)))>
#<alt u>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (* -1 (* u (- (* -1 (/ t1 u)) 1)))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (* -1 (/ v u))>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (/ v u)>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (* -1 (/ v t1))>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (/ t1 v)>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (* -1 (/ t1 (pow u 2)))>
#<alt (/ -1 (pow u 2))>
#<alt (/ -1 (pow u 2))>
#<alt (/ -1 (pow u 2))>
#<alt (/ -1 (pow u 2))>
#<alt (/ -1 (pow u 2))>
#<alt (/ -1 (pow u 2))>
#<alt (/ -1 (pow u 2))>
#<alt (/ -1 (pow u 2))>
#<alt (/ -1 (pow u 2))>
#<alt (/ -1 (pow u 2))>
#<alt (/ -1 (pow u 2))>
#<alt (/ -1 (pow u 2))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (pow u 2)>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) (pow u 2)))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (/ (* t1 v) u))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 (* t1 v))>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (* -1 t1)>
#<alt (/ (pow u 2) t1)>
#<alt (/ (+ (* 2 (* t1 u)) (pow u 2)) t1)>
#<alt (/ (+ (* t1 (+ t1 (* 2 u))) (pow u 2)) t1)>
#<alt (/ (+ (* t1 (+ t1 (* 2 u))) (pow u 2)) t1)>
#<alt t1>
#<alt (* t1 (+ 1 (* 2 (/ u t1))))>
#<alt (* t1 (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))>
#<alt (* t1 (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))>
#<alt t1>
#<alt (* -1 (* t1 (- (* -2 (/ u t1)) 1)))>
#<alt (* -1 (* t1 (- (* -1 (/ (+ (* 2 u) (/ (pow u 2) t1)) t1)) 1)))>
#<alt (* -1 (* t1 (- (* -1 (/ (+ (* 2 u) (/ (pow u 2) t1)) t1)) 1)))>
#<alt t1>
#<alt (+ t1 (* 2 u))>
#<alt (+ t1 (* u (+ 2 (/ u t1))))>
#<alt (+ t1 (* u (+ 2 (/ u t1))))>
#<alt (/ (pow u 2) t1)>
#<alt (* (pow u 2) (+ (/ 1 t1) (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (+ (/ 1 t1) (+ (* 2 (/ 1 u)) (/ t1 (pow u 2)))))>
#<alt (* (pow u 2) (+ (/ 1 t1) (+ (* 2 (/ 1 u)) (/ t1 (pow u 2)))))>
#<alt (/ (pow u 2) t1)>
#<alt (* (pow u 2) (+ (/ 1 t1) (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (+ (* -1 (/ (- (* -1 (/ t1 u)) 2) u)) (/ 1 t1)))>
#<alt (* (pow u 2) (+ (* -1 (/ (- (* -1 (/ t1 u)) 2) u)) (/ 1 t1)))>

Calls

105 calls:

Time	Variable		Point	Expression
13.0ms	u	@	inf	(/ (+ (* v (- 0 t1)) 0) u)
1.0ms	t1	@	inf	(/ (+ (* v (- 0 t1)) 0) u)
1.0ms	v	@	0	(/ (+ (* v (- 0 t1)) 0) u)
0.0ms	t1	@	0	(/ (+ (* v (- 0 t1)) 0) u)
0.0ms	v	@	inf	(- 0 (/ v u))

rewrite653.0ms (5.3%)

Memory

43.6MiB live, 510.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 492×	`accelerator-lowering-fma.f32`
4 492×	`accelerator-lowering-fma.f64`
4 094×	`/-lowering-/.f32`
4 094×	`/-lowering-/.f64`
3 632×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	99
1	155	88
2	1382	88
0	8890	88

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1 891

Calls

Call 1

Inputs
(/ v (neg (* (/ (+ t1 u) t1) (+ t1 u))))
(neg (* (/ (+ t1 u) t1) (+ t1 u)))
(/ (+ t1 u) t1)
(+ t1 u)
(- 0 (/ v u))
(/ v u)
(/ -1 (/ t1 v))
(/ t1 v)
(* t1 (/ -1 (* u u)))
(/ -1 (* u u))
(* (* t1 (/ -1 (* u u))) v)
(* u u)
(/ (/ (+ (* v (- 0 t1)) 0) u) u)
(/ (+ (* v (- 0 t1)) 0) u)
(+ (* v (- 0 t1)) 0)
(- 0 t1)
(* (/ (+ t1 u) t1) (+ t1 u))

Outputs
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 v (/.f64 t1 (.f64 (+.f64 t1 u) (+.f64 t1 u))))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)) (-.f64 #s(literal 0 binary64) v))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 v (/.f64 t1 (.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1))) (.f64 v (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(neg.f64 (.f64 v (/.f64 t1 (.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(neg.f64 (.f64 (/.f64 t1 (.f64 (+.f64 t1 u) (+.f64 t1 u))) v))
(neg.f64 (/.f64 (.f64 v #s(literal -1 binary64)) (/.f64 (.f64 (+.f64 t1 u) (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) t1))))
(/.f64 v (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) t1)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 (+.f64 t1 u) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)) (-.f64 #s(literal 0 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (*.f64 v (/.f64 t1 (+.f64 t1 u)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)) (.f64 v #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t1 u) (neg.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))))))
(/.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)))
(/.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u))) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))
(/.f64 (.f64 v #s(literal -1 binary64)) (.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)))
(/.f64 (neg.f64 (*.f64 v (/.f64 t1 (+.f64 t1 u)))) (+.f64 t1 u))
(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)))
(/.f64 (neg.f64 (.f64 v #s(literal -1 binary64))) (/.f64 (.f64 (+.f64 t1 u) (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) t1)))
(/.f64 (neg.f64 (/.f64 v (+.f64 t1 u))) (/.f64 (+.f64 t1 u) t1))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 v (/.f64 t1 (.f64 (+.f64 t1 u) (+.f64 t1 u)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 v (/.f64 t1 (.f64 (+.f64 t1 u) (+.f64 t1 u)))) (.f64 v (/.f64 t1 (.f64 (+.f64 t1 u) (+.f64 t1 u)))) (.f64 #s(literal 0 binary64) (.f64 v (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v (/.f64 t1 (.f64 (+.f64 t1 u) (+.f64 t1 u)))) (.f64 v (/.f64 t1 (.f64 (+.f64 t1 u) (+.f64 t1 u)))))) (+.f64 #s(literal 0 binary64) (.f64 v (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u))))))
(pow.f64 (/.f64 (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)) (-.f64 #s(literal 0 binary64) v)) #s(literal -1 binary64))
(.f64 v (-.f64 #s(literal 0 binary64) (/.f64 t1 (.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(.f64 #s(literal -1 binary64) (.f64 v (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 v (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u))))))
(.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 t1 (.f64 (+.f64 t1 u) (+.f64 t1 u))))
(*.f64 (/.f64 t1 (+.f64 t1 u)) (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) v) #s(literal -1 binary64)))
(*.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 v (-.f64 #s(literal 0 binary64) (+.f64 t1 u))))
(.f64 (-.f64 #s(literal 0 binary64) (/.f64 t1 (.f64 (+.f64 t1 u) (+.f64 t1 u)))) v)
(.f64 (-.f64 #s(literal 0 binary64) (/.f64 t1 (.f64 (+.f64 t1 u) (+.f64 t1 u)))) (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)))
(.f64 (.f64 v (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u)))) #s(literal -1 binary64))
(*.f64 (/.f64 t1 (-.f64 #s(literal 0 binary64) (+.f64 t1 u))) (/.f64 v (+.f64 t1 u)))
(*.f64 (/.f64 t1 (-.f64 #s(literal 0 binary64) (+.f64 t1 u))) (pow.f64 (/.f64 (+.f64 t1 u) v) #s(literal -1 binary64)))
(.f64 (.f64 v (/.f64 t1 (+.f64 t1 u))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 t1 u))))
(.f64 (.f64 v #s(literal -1 binary64)) (/.f64 t1 (*.f64 (+.f64 t1 u) (+.f64 t1 u))))
(.f64 (neg.f64 (.f64 v (/.f64 t1 (+.f64 t1 u)))) (/.f64 #s(literal 1 binary64) (+.f64 t1 u)))
(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 t1 (-.f64 #s(literal 0 binary64) (+.f64 t1 u))))
(.f64 (/.f64 v (.f64 (+.f64 t1 u) (+.f64 t1 u))) (-.f64 #s(literal 0 binary64) t1))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (.f64 v (/.f64 t1 (+.f64 t1 u))))
(*.f64 (/.f64 v (-.f64 #s(literal 0 binary64) (+.f64 t1 u))) (/.f64 t1 (+.f64 t1 u)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 t1 u) (+.f64 t1 u))) (/.f64 v (/.f64 #s(literal 1 binary64) t1)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)) (-.f64 #s(literal 0 binary64) v)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)) (-.f64 #s(literal 0 binary64) v)) #s(literal -1/2 binary64)))
(.f64 (neg.f64 (/.f64 v (.f64 (+.f64 t1 u) (+.f64 t1 u)))) t1)
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 t1 u) (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) t1)))
(+.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 t1 u) u) t1)))
(+.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (.f64 (/.f64 (.f64 (+.f64 t1 u) u) t1) #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 t1 u) u) t1)) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)) #s(literal 1 binary64)))
(-.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (/.f64 (*.f64 (+.f64 t1 u) u) t1))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1))) (/.f64 (.f64 (.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)) (.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1))) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (+.f64 t1 u) u) t1) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)) (.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)) #s(literal 0 binary64))) (/.f64 (.f64 (.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)) (.f64 (.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)) (.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)))) (fma.f64 (.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)) #s(literal 0 binary64))))
(fma.f64 t1 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 t1 u) u) t1)))
(fma.f64 t1 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)) (.f64 (/.f64 (.f64 (+.f64 t1 u) u) t1) #s(literal -1 binary64)))
(fma.f64 u (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))
(fma.f64 (+.f64 t1 u) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 t1 u) u) t1)))
(fma.f64 (+.f64 t1 u) #s(literal -1 binary64) (.f64 (/.f64 (.f64 (+.f64 t1 u) u) t1) #s(literal -1 binary64)))
(fma.f64 (+.f64 t1 u) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) t1) u)) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))
(fma.f64 (/.f64 (+.f64 t1 u) t1) (-.f64 #s(literal 0 binary64) t1) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 t1 u) u) t1)))
(fma.f64 (/.f64 (+.f64 t1 u) t1) (-.f64 #s(literal 0 binary64) t1) (.f64 (/.f64 (.f64 (+.f64 t1 u) u) t1) #s(literal -1 binary64)))
(fma.f64 (/.f64 (+.f64 t1 u) t1) (-.f64 #s(literal 0 binary64) u) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))
(fma.f64 #s(literal -1 binary64) (+.f64 t1 u) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 t1 u) u) t1)))
(fma.f64 #s(literal -1 binary64) (+.f64 t1 u) (.f64 (/.f64 (.f64 (+.f64 t1 u) u) t1) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 t1 u) u) t1) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 t1 u) u) t1)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (.f64 (/.f64 (.f64 (+.f64 t1 u) u) t1) #s(literal -1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 t1 u) u) t1)))
(fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) #s(literal 1 binary64) (.f64 (/.f64 (.f64 (+.f64 t1 u) u) t1) #s(literal -1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (*.f64 (/.f64 #s(literal 1 binary64) t1) u) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))
(fma.f64 (-.f64 #s(literal 0 binary64) t1) (/.f64 (+.f64 t1 u) t1) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 t1 u) u) t1)))
(fma.f64 (-.f64 #s(literal 0 binary64) t1) (/.f64 (+.f64 t1 u) t1) (.f64 (/.f64 (.f64 (+.f64 t1 u) u) t1) #s(literal -1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) u) (/.f64 (+.f64 t1 u) t1) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))
(fma.f64 (fma.f64 u (.f64 u u) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 t1 t1 (.f64 u (-.f64 u t1))))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 t1 u) u) t1)))
(fma.f64 (fma.f64 u (.f64 u u) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 t1 t1 (.f64 u (-.f64 u t1))))) (.f64 (/.f64 (.f64 (+.f64 t1 u) u) t1) #s(literal -1 binary64)))
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(/.f64 (fma.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) u) (/.f64 t1 (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) (fma.f64 t1 t1 #s(literal 0 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) t1) (/.f64 t1 (+.f64 t1 u))))
(/.f64 (fma.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) u) (-.f64 #s(literal 0 binary64) t1) (.f64 (-.f64 #s(literal 0 binary64) t1) (*.f64 t1 (-.f64 #s(literal 0 binary64) (+.f64 t1 u))))) (fma.f64 t1 t1 #s(literal 0 binary64)))
(/.f64 (fma.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) u) (-.f64 #s(literal 0 binary64) t1) (.f64 (-.f64 #s(literal 0 binary64) t1) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) t1))) (fma.f64 t1 t1 #s(literal 0 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)) (.f64 (.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)) (.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)))))) (fma.f64 (.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)) #s(literal 0 binary64)))
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(*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1))
(*.f64 (/.f64 (+.f64 t1 u) t1) (+.f64 t1 u))
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(.f64 #s(literal 1 binary64) (.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)))
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(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)) (/.f64 (+.f64 t1 u) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 t1 u) (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) t1))
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(.f64 (.f64 (fma.f64 u (.f64 u u) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 t1 u))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))) (-.f64 #s(literal 0 binary64) t1))))
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(.f64 (.f64 (.f64 (+.f64 t1 u) (-.f64 t1 u)) (-.f64 #s(literal 0 binary64) (+.f64 t1 u))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 t1 u) (-.f64 #s(literal 0 binary64) t1))))
(.f64 (.f64 (+.f64 t1 u) (fma.f64 u (.f64 u u) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 t1 (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))))))
(.f64 (.f64 (+.f64 t1 u) (.f64 (+.f64 t1 u) (-.f64 t1 u))) (/.f64 #s(literal 1 binary64) (.f64 t1 (-.f64 t1 u))))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (fma.f64 u (.f64 u u) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) t1) (fma.f64 t1 t1 (*.f64 u (-.f64 u t1))))))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (.f64 (+.f64 t1 u) (-.f64 t1 u))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) t1) (-.f64 t1 u))))
(.f64 (.f64 (+.f64 t1 u) (-.f64 #s(literal 0 binary64) (+.f64 t1 u))) (/.f64 #s(literal -1 binary64) t1))
(.f64 (fma.f64 (+.f64 t1 u) (.f64 (+.f64 t1 u) (+.f64 t1 u)) (.f64 (/.f64 (.f64 (+.f64 t1 u) u) t1) (.f64 (/.f64 (.f64 (+.f64 t1 u) u) t1) (/.f64 (.f64 (+.f64 t1 u) u) t1)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 t1 u) (+.f64 t1 u) (fma.f64 (.f64 u u) (.f64 (/.f64 (+.f64 t1 u) t1) (/.f64 (+.f64 t1 u) t1)) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (/.f64 (*.f64 (+.f64 t1 u) u) t1))))))
(.f64 (.f64 (.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) t1)) (-.f64 (+.f64 t1 u) (/.f64 (.f64 (+.f64 t1 u) u) t1))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 t1 u) (/.f64 (*.f64 (+.f64 t1 u) u) t1))))
(.f64 (.f64 (/.f64 (+.f64 t1 u) t1) (fma.f64 u (.f64 u u) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 t1 t1 (.f64 u (-.f64 u t1)))))
(.f64 (.f64 (/.f64 (+.f64 t1 u) t1) (*.f64 (+.f64 t1 u) (-.f64 t1 u))) (/.f64 #s(literal 1 binary64) (-.f64 t1 u)))
(.f64 (.f64 (fma.f64 u (.f64 u u) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (+.f64 t1 u) t1)) (/.f64 #s(literal 1 binary64) (fma.f64 t1 t1 (.f64 u (-.f64 u t1)))))
(.f64 (.f64 (*.f64 (+.f64 t1 u) (-.f64 t1 u)) (/.f64 (+.f64 t1 u) t1)) (/.f64 #s(literal 1 binary64) (-.f64 t1 u)))
(.f64 (/.f64 (fma.f64 u (.f64 u u) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) #s(literal 0 binary64))) t1) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t1 t1 (*.f64 u (-.f64 u t1)))) (/.f64 #s(literal 1 binary64) (+.f64 t1 u))))
(.f64 (/.f64 (.f64 (+.f64 t1 u) (-.f64 t1 u)) t1) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 t1 u)) (/.f64 #s(literal 1 binary64) (+.f64 t1 u))))
(*.f64 (/.f64 (+.f64 t1 u) (fma.f64 t1 t1 #s(literal 0 binary64))) (/.f64 (+.f64 t1 u) (/.f64 #s(literal 1 binary64) t1)))
(*.f64 (/.f64 (+.f64 t1 u) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (+.f64 t1 u) (/.f64 #s(literal 1 binary64) (fma.f64 t1 t1 #s(literal 0 binary64)))))
(*.f64 (/.f64 (+.f64 t1 u) (-.f64 #s(literal 0 binary64) (fma.f64 t1 t1 #s(literal 0 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) t1)))
(*.f64 (/.f64 (+.f64 t1 u) (-.f64 #s(literal 0 binary64) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) (/.f64 #s(literal 1 binary64) (fma.f64 t1 t1 #s(literal 0 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) #s(literal -1 binary64)) (/.f64 (+.f64 t1 u) t1))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 t1 (fma.f64 u (.f64 u u) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 (+.f64 t1 u) (fma.f64 t1 t1 (*.f64 u (-.f64 u t1)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 t1 (.f64 (+.f64 t1 u) (-.f64 t1 u)))) (/.f64 (+.f64 t1 u) (-.f64 t1 u)))
(*.f64 (/.f64 (+.f64 t1 u) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t1 u) t1)))
(.f64 (/.f64 (fma.f64 u (.f64 u u) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 t1 (fma.f64 u (.f64 u u) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t1 t1 (.f64 u (-.f64 u t1)))) (fma.f64 t1 t1 (*.f64 u (-.f64 u t1)))))
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(.f64 (/.f64 (.f64 (+.f64 t1 u) (-.f64 t1 u)) (/.f64 t1 (fma.f64 u (.f64 u u) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 t1 u)) (fma.f64 t1 t1 (.f64 u (-.f64 u t1)))))
(.f64 (/.f64 (.f64 (+.f64 t1 u) (-.f64 t1 u)) (/.f64 t1 (*.f64 (+.f64 t1 u) (-.f64 t1 u)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 t1 u)) (-.f64 t1 u)))
(.f64 (/.f64 (+.f64 t1 u) (/.f64 t1 (fma.f64 u (.f64 u u) (fma.f64 t1 (fma.f64 t1 t1 #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 t1 t1 (*.f64 u (-.f64 u t1)))))
(.f64 (/.f64 (+.f64 t1 u) (/.f64 t1 (.f64 (+.f64 t1 u) (-.f64 t1 u)))) (/.f64 #s(literal 1 binary64) (-.f64 t1 u)))

simplify969.0ms (7.9%)

Memory

-11.2MiB live, 794.3MiB allocated

Algorithm

1×	egg-herbie

Rules

17 774×	`accelerator-lowering-fma.f32`
17 774×	`accelerator-lowering-fma.f64`
5 336×	`-lowering-.f32`
5 336×	`-lowering-.f64`
4 044×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	3017
1	866	2930
2	2816	2744
0	8503	2701

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow (+ t1 u) 2)))
(* -1 (/ (* t1 v) (pow u 2)))
(* t1 (+ (* -1 (/ v (pow u 2))) (* 2 (/ (* t1 v) (pow u 3)))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))))))))
(* t1 (+ (* -1 (/ v (pow u 2))) (* t1 (+ (* 2 (/ v (pow u 3))) (* t1 (+ (* -4 (/ v (pow u 4))) (+ (* t1 (+ (* -2 (/ v (pow u 5))) (* -2 (/ (+ (* -4 (/ v (pow u 4))) (/ v (pow u 4))) u)))) (/ v (pow u 4)))))))))
(* -1 (/ v t1))
(/ (+ (* -1 v) (* 2 (/ (* u v) t1))) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))) t1)
(/ (+ (* -4 (/ (* (pow u 2) v) (pow t1 2))) (+ (* -2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) (pow t1 3))) (+ (* -2 (/ (* (pow u 3) v) (pow t1 3))) (+ (* -1 v) (+ (* 2 (/ (* u v) t1)) (/ (* (pow u 2) v) (pow t1 2))))))) t1)
(* -1 (/ v t1))
(* -1 (/ (+ v (* -2 (/ (* u v) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (- (+ (* -4 (/ (* (pow u 2) v) t1)) (/ (* (pow u 2) v) t1)) (* -2 (* u v))) t1))) t1))
(* -1 (/ (+ v (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* u (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* 2 (/ (* (pow u 3) v) t1))) (+ (* -4 (* (pow u 2) v)) (* (pow u 2) v))) t1)) (* -2 (* u v))) t1))) t1))
(* -1 (/ v t1))
(+ (* -1 (/ v t1)) (* 2 (/ (* u v) (pow t1 2))))
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3)))))))
(+ (* -1 (/ v t1)) (* u (+ (* 2 (/ v (pow t1 2))) (* u (+ (* -4 (/ v (pow t1 3))) (+ (* u (+ (* -2 (/ v (pow t1 4))) (* -2 (/ (+ (* -4 (/ v (pow t1 3))) (/ v (pow t1 3))) t1)))) (/ v (pow t1 3))))))))
(* -1 (/ (* t1 v) (pow u 2)))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))) (pow u 2))
(/ (+ (* -4 (/ (* (pow t1 3) v) (pow u 2))) (+ (* -2 (/ (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v))) (pow u 3))) (+ (* -2 (/ (* (pow t1 4) v) (pow u 3))) (+ (* -1 (* t1 v)) (+ (* 2 (/ (* (pow t1 2) v) u)) (/ (* (pow t1 3) v) (pow u 2))))))) (pow u 2))
(* -1 (/ (* t1 v) (pow u 2)))
(/ (+ (* -1 (* t1 v)) (* 2 (/ (* (pow t1 2) v) u))) (pow u 2))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)) u))) u))) (pow u 2))
(/ (+ (* -1 (* t1 v)) (* -1 (/ (+ (* -2 (* (pow t1 2) v)) (* -1 (/ (+ (* -4 (* (pow t1 3) v)) (+ (* -1 (/ (+ (* 2 (* t1 (+ (* -4 (* (pow t1 3) v)) (* (pow t1 3) v)))) (* 2 (* (pow t1 4) v))) u)) (* (pow t1 3) v))) u))) u))) (pow u 2))
(* -1 (/ (pow u 2) t1))
(/ (- (* -2 (* t1 u)) (pow u 2)) t1)
(/ (- (* t1 (- (* -1 t1) (* 2 u))) (pow u 2)) t1)
(/ (- (* t1 (- (* -1 t1) (* 2 u))) (pow u 2)) t1)
(* -1 t1)
(* t1 (- (* -2 (/ u t1)) 1))
(* t1 (- (* -1 (/ (pow u 2) (pow t1 2))) (+ 1 (* 2 (/ u t1)))))
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Outputs
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(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(pow u 2)
(*.f64 u u)
(pow u 2)
(*.f64 u u)
(pow u 2)
(*.f64 u u)
(pow u 2)
(*.f64 u u)
(pow u 2)
(*.f64 u u)
(pow u 2)
(*.f64 u u)
(pow u 2)
(*.f64 u u)
(pow u 2)
(*.f64 u u)
(pow u 2)
(*.f64 u u)
(pow u 2)
(*.f64 u u)
(pow u 2)
(*.f64 u u)
(pow u 2)
(*.f64 u u)
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) (pow u 2)))
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (/ (* t1 v) u))
(-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u)))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 (* t1 v))
(-.f64 #s(literal 0 binary64) (*.f64 t1 v))
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(* -1 t1)
(-.f64 #s(literal 0 binary64) t1)
(/ (pow u 2) t1)
(/.f64 (*.f64 u u) t1)
(/ (+ (* 2 (* t1 u)) (pow u 2)) t1)
(*.f64 u (/.f64 (fma.f64 t1 #s(literal 2 binary64) u) t1))
(/ (+ (* t1 (+ t1 (* 2 u))) (pow u 2)) t1)
(/.f64 (fma.f64 t1 (fma.f64 u #s(literal 2 binary64) t1) (*.f64 u u)) t1)
(/ (+ (* t1 (+ t1 (* 2 u))) (pow u 2)) t1)
(/.f64 (fma.f64 t1 (fma.f64 u #s(literal 2 binary64) t1) (*.f64 u u)) t1)
t1
(* t1 (+ 1 (* 2 (/ u t1))))
(fma.f64 u #s(literal 2 binary64) t1)
(* t1 (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))
(fma.f64 u (+.f64 #s(literal 2 binary64) (/.f64 u t1)) t1)
(* t1 (+ 1 (+ (* 2 (/ u t1)) (/ (pow u 2) (pow t1 2)))))
(fma.f64 u (+.f64 #s(literal 2 binary64) (/.f64 u t1)) t1)
t1
(* -1 (* t1 (- (* -2 (/ u t1)) 1)))
(-.f64 #s(literal 0 binary64) (fma.f64 u #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) t1)))
(* -1 (* t1 (- (* -1 (/ (+ (* 2 u) (/ (pow u 2) t1)) t1)) 1)))
(fma.f64 u (+.f64 #s(literal 2 binary64) (/.f64 u t1)) t1)
(* -1 (* t1 (- (* -1 (/ (+ (* 2 u) (/ (pow u 2) t1)) t1)) 1)))
(fma.f64 u (+.f64 #s(literal 2 binary64) (/.f64 u t1)) t1)
t1
(+ t1 (* 2 u))
(fma.f64 u #s(literal 2 binary64) t1)
(+ t1 (* u (+ 2 (/ u t1))))
(fma.f64 u (+.f64 #s(literal 2 binary64) (/.f64 u t1)) t1)
(+ t1 (* u (+ 2 (/ u t1))))
(fma.f64 u (+.f64 #s(literal 2 binary64) (/.f64 u t1)) t1)
(/ (pow u 2) t1)
(/.f64 (*.f64 u u) t1)
(* (pow u 2) (+ (/ 1 t1) (* 2 (/ 1 u))))
(*.f64 u (fma.f64 u (/.f64 #s(literal 2 binary64) u) (/.f64 u t1)))
(* (pow u 2) (+ (/ 1 t1) (+ (* 2 (/ 1 u)) (/ t1 (pow u 2)))))
(.f64 u (fma.f64 u (+.f64 (/.f64 #s(literal 2 binary64) u) (/.f64 t1 (.f64 u u))) (/.f64 u t1)))
(* (pow u 2) (+ (/ 1 t1) (+ (* 2 (/ 1 u)) (/ t1 (pow u 2)))))
(.f64 u (fma.f64 u (+.f64 (/.f64 #s(literal 2 binary64) u) (/.f64 t1 (.f64 u u))) (/.f64 u t1)))
(/ (pow u 2) t1)
(/.f64 (*.f64 u u) t1)
(* (pow u 2) (+ (/ 1 t1) (* 2 (/ 1 u))))
(*.f64 u (fma.f64 u (/.f64 #s(literal 2 binary64) u) (/.f64 u t1)))
(* (pow u 2) (+ (* -1 (/ (- (* -1 (/ t1 u)) 2) u)) (/ 1 t1)))
(*.f64 u (fma.f64 u (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 t1 u)) u) (/.f64 u t1)))
(* (pow u 2) (+ (* -1 (/ (- (* -1 (/ t1 u)) 2) u)) (/ 1 t1)))
(*.f64 u (fma.f64 u (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 t1 u)) u) (/.f64 u t1)))

eval557.0ms (4.5%)

Memory: 48.7MiB live, 647.7MiB allocated
Compiler: Compiled 51 038 to 5 933 computations (88.4% saved)

prune401.0ms (3.3%)

Memory

-21.4MiB live, 824.4MiB allocated

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	2 446	9	2 455
Fresh	8	13	21
Picked	2	3	5
Done	1	2	3
Total	2 457	27	2 484

Accuracy

100.0%

Counts

2 484 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.9%	(/.f64 (/.f64 t1 (-.f64 #s(literal 0 binary64) u)) (/.f64 u v))
	56.6%	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u))) u)
	53.7%	(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u))
	57.3%	(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) t1) (/.f64 v u)) u)
	71.4%	(/.f64 (.f64 (neg.f64 t1) v) (fma.f64 u u (fma.f64 t1 u (.f64 t1 (+.f64 t1 u)))))
	50.2%	(/.f64 (.f64 (neg.f64 t1) v) (.f64 u u))
	53.4%	(/.f64 v (*.f64 u (-.f64 #s(literal -2 binary64) (/.f64 u t1))))
	93.8%	(/.f64 v (neg.f64 (fma.f64 u (+.f64 #s(literal 2 binary64) (/.f64 u t1)) t1)))
	54.4%	(/.f64 v (neg.f64 (fma.f64 u #s(literal 2 binary64) t1)))
	50.1%	(/.f64 v (neg.f64 (/.f64 (*.f64 u u) t1)))
✓	93.8%	(/.f64 v (neg.f64 (*.f64 (/.f64 (+.f64 t1 u) t1) (+.f64 t1 u))))
	15.2%	(/.f64 #s(literal -1 binary64) (/.f64 u v))
✓	46.2%	(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
	80.0%	(/.f64 #s(literal -1 binary64) (.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) (.f64 v t1))))
	31.2%	(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 v v #s(literal 0 binary64)) (*.f64 v t1)))
	50.2%	(.f64 (fma.f64 v t1 #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (.f64 u u)))
	75.2%	(.f64 (/.f64 (neg.f64 t1) (.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
	50.1%	(.f64 (/.f64 (neg.f64 t1) (.f64 u u)) v)
	14.6%	(*.f64 (/.f64 v u) #s(literal -1/2 binary64))
	54.3%	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 u #s(literal 2 binary64) t1)) v)
	46.9%	(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
✓	50.1%	(.f64 (.f64 t1 (/.f64 #s(literal -1 binary64) (*.f64 u u))) v)
✓	86.5%	(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u))))
	52.7%	(.f64 t1 (neg.f64 (/.f64 v (.f64 u (+.f64 t1 u)))))
	52.3%	(.f64 t1 (neg.f64 (/.f64 v (.f64 u u))))
	14.6%	(neg.f64 (/.f64 v u))
✓	47.1%	(neg.f64 (/.f64 v t1))

Compiler

Compiled 883 to 363 computations (58.9% saved)

regimes74.0ms (0.6%)

Memory

11.7MiB live, 165.1MiB allocated

Counts

58 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 v t1))
(neg.f64 (/.f64 v u))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(-.f64 #s(literal 0 binary64) (/.f64 v u))
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
(*.f64 (/.f64 v u) #s(literal -1/2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u))
(neg.f64 (/.f64 v (fma.f64 u #s(literal 2 binary64) t1)))
(/.f64 v (neg.f64 (fma.f64 u #s(literal 2 binary64) t1)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 u #s(literal 2 binary64) t1)) v)
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 #s(literal -1 binary64) (/.f64 u v))
(.f64 t1 (neg.f64 (/.f64 v (.f64 u u))))
(.f64 (/.f64 (neg.f64 t1) (.f64 u u)) v)
(/.f64 (.f64 (neg.f64 t1) v) (.f64 u u))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) t1) (.f64 u u)) v)
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 v v #s(literal 0 binary64)) (*.f64 v t1)))
(.f64 t1 (neg.f64 (/.f64 v (.f64 u (+.f64 t1 u)))))
(.f64 (.f64 t1 (/.f64 #s(literal -1 binary64) (*.f64 u u))) v)
(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) t1))
(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) u))
(.f64 (fma.f64 v t1 #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (.f64 u u)))
(neg.f64 (/.f64 v (/.f64 (*.f64 u u) t1)))
(.f64 t1 (neg.f64 (/.f64 v (.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(.f64 (.f64 v t1) (/.f64 #s(literal -1 binary64) (*.f64 u (+.f64 t1 u))))
(.f64 (/.f64 (neg.f64 t1) (.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
(/.f64 v (neg.f64 (/.f64 (*.f64 u u) t1)))
(/.f64 (.f64 (neg.f64 t1) v) (.f64 t1 (fma.f64 u #s(literal 2 binary64) t1)))
(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) t1) (.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) u) (/.f64 t1 u))
(/.f64 v (*.f64 u (-.f64 #s(literal -2 binary64) (/.f64 u t1))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) t1) (/.f64 v u)) u)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 t1 u)) v) u)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u))) u)
(/.f64 (/.f64 (fma.f64 v (-.f64 #s(literal 0 binary64) t1) #s(literal 0 binary64)) u) u)
(neg.f64 (*.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 v u)))
(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) u)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 t1 v))
(*.f64 (/.f64 (neg.f64 v) u) (/.f64 t1 (+.f64 t1 u)))
(*.f64 (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1) v)
(/.f64 v (neg.f64 (fma.f64 u (+.f64 #s(literal 2 binary64) (/.f64 u t1)) t1)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 (/.f64 v (+.f64 t1 u)))) u)
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v t1)) u) (+.f64 t1 u))
(/.f64 (fma.f64 v (/.f64 u t1) (-.f64 #s(literal 0 binary64) v)) (+.f64 t1 u))
(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u))))
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
(/.f64 v (neg.f64 (*.f64 (/.f64 (+.f64 t1 u) t1) (+.f64 t1 u))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
(/.f64 (-.f64 #s(literal 0 binary64) t1) (*.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) v)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 (/.f64 v (+.f64 t1 u)))) (+.f64 t1 u))
(/.f64 (/.f64 t1 (-.f64 #s(literal 0 binary64) u)) (/.f64 u v))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 t1 u)) (.f64 t1 (/.f64 v (+.f64 t1 u))))
(/.f64 #s(literal -1 binary64) (.f64 (+.f64 t1 u) (/.f64 (+.f64 t1 u) (.f64 v t1))))
(/.f64 (.f64 (neg.f64 t1) v) (fma.f64 u u (fma.f64 t1 u (.f64 t1 (+.f64 t1 u)))))
(/.f64 (.f64 #s(literal 1 binary64) v) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 t1 u)) t1) (+.f64 t1 u)))
(/.f64 (*.f64 (/.f64 t1 (-.f64 #s(literal 0 binary64) (+.f64 t1 u))) (-.f64 #s(literal 0 binary64) v)) (-.f64 #s(literal 0 binary64) (+.f64 t1 u)))

Outputs
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))

Calls

4 calls:

19.0ms	v
18.0ms	t1
17.0ms	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
17.0ms	u

Results

Accuracy	Segments	Branch
98.0%	1	`u`
98.0%	1	`v`
98.0%	1	`t1`
98.0%	1	`(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes60.0ms (0.5%)

Memory

-11.9MiB live, 148.3MiB allocated

Counts

47 → 2

Calls

Call 1

Inputs
(neg.f64 (/.f64 v t1))
(neg.f64 (/.f64 v u))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(-.f64 #s(literal 0 binary64) (/.f64 v u))
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
(*.f64 (/.f64 v u) #s(literal -1/2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u))
(neg.f64 (/.f64 v (fma.f64 u #s(literal 2 binary64) t1)))
(/.f64 v (neg.f64 (fma.f64 u #s(literal 2 binary64) t1)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 u #s(literal 2 binary64) t1)) v)
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 #s(literal -1 binary64) (/.f64 u v))
(.f64 t1 (neg.f64 (/.f64 v (.f64 u u))))
(.f64 (/.f64 (neg.f64 t1) (.f64 u u)) v)
(/.f64 (.f64 (neg.f64 t1) v) (.f64 u u))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) t1) (.f64 u u)) v)
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 v v #s(literal 0 binary64)) (*.f64 v t1)))
(.f64 t1 (neg.f64 (/.f64 v (.f64 u (+.f64 t1 u)))))
(.f64 (.f64 t1 (/.f64 #s(literal -1 binary64) (*.f64 u u))) v)
(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) t1))
(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) u))
(.f64 (fma.f64 v t1 #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (.f64 u u)))
(neg.f64 (/.f64 v (/.f64 (*.f64 u u) t1)))
(.f64 t1 (neg.f64 (/.f64 v (.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(.f64 (.f64 v t1) (/.f64 #s(literal -1 binary64) (*.f64 u (+.f64 t1 u))))
(.f64 (/.f64 (neg.f64 t1) (.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
(/.f64 v (neg.f64 (/.f64 (*.f64 u u) t1)))
(/.f64 (.f64 (neg.f64 t1) v) (.f64 t1 (fma.f64 u #s(literal 2 binary64) t1)))
(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) t1) (.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) u) (/.f64 t1 u))
(/.f64 v (*.f64 u (-.f64 #s(literal -2 binary64) (/.f64 u t1))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) t1) (/.f64 v u)) u)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 t1 u)) v) u)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u))) u)
(/.f64 (/.f64 (fma.f64 v (-.f64 #s(literal 0 binary64) t1) #s(literal 0 binary64)) u) u)
(neg.f64 (*.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 v u)))
(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) u)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 t1 v))
(*.f64 (/.f64 (neg.f64 v) u) (/.f64 t1 (+.f64 t1 u)))
(*.f64 (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1) v)
(/.f64 v (neg.f64 (fma.f64 u (+.f64 #s(literal 2 binary64) (/.f64 u t1)) t1)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 (/.f64 v (+.f64 t1 u)))) u)
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v t1)) u) (+.f64 t1 u))
(/.f64 (fma.f64 v (/.f64 u t1) (-.f64 #s(literal 0 binary64) v)) (+.f64 t1 u))
(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u))))

Outputs
(/.f64 v (neg.f64 (fma.f64 u (+.f64 #s(literal 2 binary64) (/.f64 u t1)) t1)))
(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u))))

Calls

4 calls:

15.0ms	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
15.0ms	u
14.0ms	v
14.0ms	t1

Results

Accuracy	Segments	Branch
96.9%	2	`u`
97.2%	2	`v`
93.8%	1	`t1`
93.8%	1	`(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes35.0ms (0.3%)

Memory

-16.0MiB live, 69.9MiB allocated

Counts

46 → 2

Calls

Call 1

Inputs
(neg.f64 (/.f64 v t1))
(neg.f64 (/.f64 v u))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(-.f64 #s(literal 0 binary64) (/.f64 v u))
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
(*.f64 (/.f64 v u) #s(literal -1/2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u))
(neg.f64 (/.f64 v (fma.f64 u #s(literal 2 binary64) t1)))
(/.f64 v (neg.f64 (fma.f64 u #s(literal 2 binary64) t1)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 u #s(literal 2 binary64) t1)) v)
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 #s(literal -1 binary64) (/.f64 u v))
(.f64 t1 (neg.f64 (/.f64 v (.f64 u u))))
(.f64 (/.f64 (neg.f64 t1) (.f64 u u)) v)
(/.f64 (.f64 (neg.f64 t1) v) (.f64 u u))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) t1) (.f64 u u)) v)
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 v v #s(literal 0 binary64)) (*.f64 v t1)))
(.f64 t1 (neg.f64 (/.f64 v (.f64 u (+.f64 t1 u)))))
(.f64 (.f64 t1 (/.f64 #s(literal -1 binary64) (*.f64 u u))) v)
(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) t1))
(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) u))
(.f64 (fma.f64 v t1 #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (.f64 u u)))
(neg.f64 (/.f64 v (/.f64 (*.f64 u u) t1)))
(.f64 t1 (neg.f64 (/.f64 v (.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(.f64 (.f64 v t1) (/.f64 #s(literal -1 binary64) (*.f64 u (+.f64 t1 u))))
(.f64 (/.f64 (neg.f64 t1) (.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
(/.f64 v (neg.f64 (/.f64 (*.f64 u u) t1)))
(/.f64 (.f64 (neg.f64 t1) v) (.f64 t1 (fma.f64 u #s(literal 2 binary64) t1)))
(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) t1) (.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) u) (/.f64 t1 u))
(/.f64 v (*.f64 u (-.f64 #s(literal -2 binary64) (/.f64 u t1))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) t1) (/.f64 v u)) u)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 t1 u)) v) u)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u))) u)
(/.f64 (/.f64 (fma.f64 v (-.f64 #s(literal 0 binary64) t1) #s(literal 0 binary64)) u) u)
(neg.f64 (*.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 v u)))
(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) u)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 t1 v))
(*.f64 (/.f64 (neg.f64 v) u) (/.f64 t1 (+.f64 t1 u)))
(*.f64 (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1) v)
(/.f64 v (neg.f64 (fma.f64 u (+.f64 #s(literal 2 binary64) (/.f64 u t1)) t1)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t1 (/.f64 v (+.f64 t1 u)))) u)
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v t1)) u) (+.f64 t1 u))
(/.f64 (fma.f64 v (/.f64 u t1) (-.f64 #s(literal 0 binary64) v)) (+.f64 t1 u))

Outputs
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) t1) (/.f64 v u)) u)
(/.f64 v (neg.f64 (fma.f64 u (+.f64 #s(literal 2 binary64) (/.f64 u t1)) t1)))

Calls

2 calls:

19.0ms	v
14.0ms	u

Results

Accuracy	Segments	Branch
96.9%	2	`u`
93.8%	1	`v`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes113.0ms (0.9%)

Memory

-3.3MiB live, 117.0MiB allocated

Counts

42 → 3

Calls

Call 1

Inputs
(neg.f64 (/.f64 v t1))
(neg.f64 (/.f64 v u))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(-.f64 #s(literal 0 binary64) (/.f64 v u))
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
(*.f64 (/.f64 v u) #s(literal -1/2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u))
(neg.f64 (/.f64 v (fma.f64 u #s(literal 2 binary64) t1)))
(/.f64 v (neg.f64 (fma.f64 u #s(literal 2 binary64) t1)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 u #s(literal 2 binary64) t1)) v)
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 #s(literal -1 binary64) (/.f64 u v))
(.f64 t1 (neg.f64 (/.f64 v (.f64 u u))))
(.f64 (/.f64 (neg.f64 t1) (.f64 u u)) v)
(/.f64 (.f64 (neg.f64 t1) v) (.f64 u u))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) t1) (.f64 u u)) v)
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 v v #s(literal 0 binary64)) (*.f64 v t1)))
(.f64 t1 (neg.f64 (/.f64 v (.f64 u (+.f64 t1 u)))))
(.f64 (.f64 t1 (/.f64 #s(literal -1 binary64) (*.f64 u u))) v)
(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) t1))
(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) u))
(.f64 (fma.f64 v t1 #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (.f64 u u)))
(neg.f64 (/.f64 v (/.f64 (*.f64 u u) t1)))
(.f64 t1 (neg.f64 (/.f64 v (.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(.f64 (.f64 v t1) (/.f64 #s(literal -1 binary64) (*.f64 u (+.f64 t1 u))))
(.f64 (/.f64 (neg.f64 t1) (.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
(/.f64 v (neg.f64 (/.f64 (*.f64 u u) t1)))
(/.f64 (.f64 (neg.f64 t1) v) (.f64 t1 (fma.f64 u #s(literal 2 binary64) t1)))
(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) t1) (.f64 (+.f64 t1 u) (+.f64 t1 u))) v)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) u) (/.f64 t1 u))
(/.f64 v (*.f64 u (-.f64 #s(literal -2 binary64) (/.f64 u t1))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) t1) (/.f64 v u)) u)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 t1 u)) v) u)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v (/.f64 t1 u))) u)
(/.f64 (/.f64 (fma.f64 v (-.f64 #s(literal 0 binary64) t1) #s(literal 0 binary64)) u) u)
(neg.f64 (*.f64 (/.f64 t1 (+.f64 t1 u)) (/.f64 v u)))
(*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) u)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 t1 u) (+.f64 t1 u))) (*.f64 t1 v))
(*.f64 (/.f64 (neg.f64 v) u) (/.f64 t1 (+.f64 t1 u)))
(*.f64 (/.f64 (fma.f64 u (/.f64 #s(literal 2 binary64) t1) #s(literal -1 binary64)) t1) v)

Outputs
(neg.f64 (/.f64 v (fma.f64 u #s(literal 2 binary64) t1)))
(.f64 t1 (neg.f64 (/.f64 v (.f64 (+.f64 t1 u) (+.f64 t1 u)))))
(neg.f64 (/.f64 v (fma.f64 u #s(literal 2 binary64) t1)))

Calls

4 calls:

13.0ms	v
12.0ms	t1
12.0ms	u
12.0ms	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

Results

Accuracy	Segments	Branch
87.0%	3	`t1`
77.2%	2	`v`
85.3%	2	`(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))`
87.1%	4	`u`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes39.0ms (0.3%)

Memory

8.1MiB live, 47.6MiB allocated

Counts

24 → 3

Calls

Call 1

Inputs
(neg.f64 (/.f64 v t1))
(neg.f64 (/.f64 v u))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(-.f64 #s(literal 0 binary64) (/.f64 v u))
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
(*.f64 (/.f64 v u) #s(literal -1/2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u))
(neg.f64 (/.f64 v (fma.f64 u #s(literal 2 binary64) t1)))
(/.f64 v (neg.f64 (fma.f64 u #s(literal 2 binary64) t1)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 u #s(literal 2 binary64) t1)) v)
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 #s(literal -1 binary64) (/.f64 u v))
(.f64 t1 (neg.f64 (/.f64 v (.f64 u u))))
(.f64 (/.f64 (neg.f64 t1) (.f64 u u)) v)
(/.f64 (.f64 (neg.f64 t1) v) (.f64 u u))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) t1) (.f64 u u)) v)
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 v v #s(literal 0 binary64)) (*.f64 v t1)))
(.f64 t1 (neg.f64 (/.f64 v (.f64 u (+.f64 t1 u)))))
(.f64 (.f64 t1 (/.f64 #s(literal -1 binary64) (*.f64 u u))) v)
(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) t1))
(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) u))
(.f64 (fma.f64 v t1 #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (.f64 u u)))
(neg.f64 (/.f64 v (/.f64 (*.f64 u u) t1)))

Outputs
(.f64 t1 (neg.f64 (/.f64 v (.f64 u (+.f64 t1 u)))))
(neg.f64 (/.f64 v (fma.f64 u #s(literal 2 binary64) t1)))
(.f64 t1 (neg.f64 (/.f64 v (.f64 u (+.f64 t1 u)))))

Calls

3 calls:

23.0ms	u
8.0ms	t1
7.0ms	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

Results

Accuracy	Segments	Branch
79.3%	3	`u`
70.2%	3	`(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))`
77.3%	3	`t1`

Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes14.0ms (0.1%)

Memory

-4.5MiB live, 34.4MiB allocated

Counts

18 → 3

Calls

Call 1

Inputs
(neg.f64 (/.f64 v t1))
(neg.f64 (/.f64 v u))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(-.f64 #s(literal 0 binary64) (/.f64 v u))
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
(*.f64 (/.f64 v u) #s(literal -1/2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u))
(neg.f64 (/.f64 v (fma.f64 u #s(literal 2 binary64) t1)))
(/.f64 v (neg.f64 (fma.f64 u #s(literal 2 binary64) t1)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 u #s(literal 2 binary64) t1)) v)
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 #s(literal -1 binary64) (/.f64 u v))
(.f64 t1 (neg.f64 (/.f64 v (.f64 u u))))
(.f64 (/.f64 (neg.f64 t1) (.f64 u u)) v)
(/.f64 (.f64 (neg.f64 t1) v) (.f64 u u))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) t1) (.f64 u u)) v)
(-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u u))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 v v #s(literal 0 binary64)) (*.f64 v t1)))

Outputs
(.f64 t1 (neg.f64 (/.f64 v (.f64 u u))))
(neg.f64 (/.f64 v (fma.f64 u #s(literal 2 binary64) t1)))
(.f64 t1 (neg.f64 (/.f64 v (.f64 u u))))

Calls

2 calls:

7.0ms	v
6.0ms	u

Results

Accuracy	Segments	Branch
61.5%	2	`v`
78.6%	3	`u`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes19.0ms (0.2%)

Memory

11.2MiB live, 49.7MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 v t1))
(neg.f64 (/.f64 v u))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(-.f64 #s(literal 0 binary64) (/.f64 v u))
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
(*.f64 (/.f64 v u) #s(literal -1/2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u))
(neg.f64 (/.f64 v (fma.f64 u #s(literal 2 binary64) t1)))
(/.f64 v (neg.f64 (fma.f64 u #s(literal 2 binary64) t1)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 u #s(literal 2 binary64) t1)) v)
(/.f64 #s(literal -1 binary64) (/.f64 t1 v))
(/.f64 #s(literal -1 binary64) (/.f64 u v))

Outputs
(neg.f64 (/.f64 v (fma.f64 u #s(literal 2 binary64) t1)))

Calls

4 calls:

5.0ms	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
4.0ms	t1
4.0ms	u
4.0ms	v

Results

Accuracy	Segments	Branch
54.4%	1	`v`
54.4%	1	`(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))`
54.4%	1	`t1`
54.4%	1	`u`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes14.0ms (0.1%)

Memory

-3.1MiB live, 37.7MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 v t1))
(neg.f64 (/.f64 v u))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(-.f64 #s(literal 0 binary64) (/.f64 v u))
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
(*.f64 (/.f64 v u) #s(literal -1/2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u))

Outputs
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u))

Calls

4 calls:

5.0ms	u
3.0ms	t1
3.0ms	v
3.0ms	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

Results

Accuracy	Segments	Branch
53.7%	1	`u`
53.7%	1	`v`
53.7%	1	`t1`
53.7%	1	`(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes12.0ms (0.1%)

Memory

-2.1MiB live, 37.4MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
(neg.f64 (/.f64 v t1))
(neg.f64 (/.f64 v u))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(-.f64 #s(literal 0 binary64) (/.f64 v u))
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)
(*.f64 (/.f64 v u) #s(literal -1/2 binary64))

Outputs
(*.f64 (/.f64 v u) #s(literal -1/2 binary64))
(neg.f64 (/.f64 v t1))

Calls

4 calls:

3.0ms	v
3.0ms	u
3.0ms	t1
2.0ms	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

Results

Accuracy	Segments	Branch
47.1%	1	`v`
51.5%	2	`u`
47.1%	1	`t1`
47.1%	1	`(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes3.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
(neg.f64 (/.f64 v t1))
(neg.f64 (/.f64 v u))
(-.f64 #s(literal 0 binary64) (/.f64 v t1))
(-.f64 #s(literal 0 binary64) (/.f64 v u))
(*.f64 (/.f64 #s(literal -1 binary64) t1) v)

Outputs
(neg.f64 (/.f64 v u))
(neg.f64 (/.f64 v t1))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
51.5%	2	`u`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Memory

17.9MiB live, 17.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 v t1))

Outputs
(neg.f64 (/.f64 v t1))

Calls

4 calls:

1.0ms	v
1.0ms	t1
1.0ms	u
1.0ms	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

Results

Accuracy	Segments	Branch
47.1%	1	`v`
47.1%	1	`t1`
47.1%	1	`(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))`
47.1%	1	`u`

Compiler

Compiled 27 to 17 computations (37% saved)

bsearch8.0ms (0.1%)

Memory

-22.0MiB live, 15.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	2.5602603510553328e+179	4.0213131877419354e+179

Samples

3.0ms

64×

valid

Compiler

Compiled 49 to 33 computations (32.7% saved)

Precisions

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

ival-mult: 1.0ms (55.7% of total)

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

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

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

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

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

bsearch12.0ms (0.1%)

Memory

-5.8MiB live, 32.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-3.848487618534044e+118	-1.77207552361671e+114

Samples

7.0ms

128×

valid

Compiler

Compiled 46 to 33 computations (28.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (54.2% of total)

ival-div: 1.0ms (27.1% of total)

ival-add: 1.0ms (27.1% of total)

ival-neg: 1.0ms (27.1% of total)

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

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

bsearch25.0ms (0.2%)

Memory

28.5MiB live, 70.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	8.980063899968639e+114	1.6514202480924777e+117
11.0ms	-3.1783553805585835e+51	-7.572209749403628e+42

Samples

16.0ms

256×

valid

Compiler

Compiled 72 to 48 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-neg: 4.0ms (41.5% of total)

ival-mult: 3.0ms (31.1% of total)

ival-div: 2.0ms (20.7% of total)

ival-add: 1.0ms (10.4% of total)

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

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

bsearch25.0ms (0.2%)

Memory

-16.8MiB live, 59.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	7.321713734708777e-121	1.720558377547118e-112
10.0ms	-4.3828589829919216e-36	-8.620198480809008e-38

Samples

14.0ms

256×

valid

Compiler

Compiled 68 to 48 computations (29.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 3.0ms (35.2% of total)

ival-mult: 3.0ms (35.2% of total)

ival-div: 1.0ms (11.7% of total)

ival-neg: 1.0ms (11.7% of total)

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

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

bsearch21.0ms (0.2%)

Memory

10.1MiB live, 48.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.360428098705999e-17	3.0656576863489587e-16
9.0ms	-4.3828589829919216e-36	-8.620198480809008e-38

Samples

13.0ms

224×

valid

Compiler

Compiled 64 to 46 computations (28.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (50.3% of total)

ival-div: 1.0ms (12.6% of total)

ival-add: 1.0ms (12.6% of total)

ival-neg: 1.0ms (12.6% of total)

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

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

bsearch23.0ms (0.2%)

Memory

-58.7MiB live, 25.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-3.848487618534044e+118	-1.77207552361671e+114

Samples

7.0ms

128×

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (27.8% of total)

ival-add: 1.0ms (27.8% of total)

ival-mult: 1.0ms (27.8% of total)

ival-neg: 1.0ms (27.8% of total)

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

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

bsearch11.0ms (0.1%)

Memory

25.1MiB live, 25.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-3.848487618534044e+118	-1.77207552361671e+114

Samples

6.0ms

128×

valid

Compiler

Compiled 34 to 26 computations (23.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (28.5% of total)

ival-add: 1.0ms (28.5% of total)

ival-mult: 1.0ms (28.5% of total)

ival-neg: 1.0ms (28.5% of total)

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

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

simplify17.0ms (0.1%)

Memory

4.9MiB live, 43.5MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`*-commutative_binary64`
56×	`+-commutative_binary64`
56×	`neg-mul-1_binary64`
54×	`neg-sub0_binary64`
52×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	182
1	141	182
2	217	182
3	273	182
4	296	182
5	302	182
6	304	182

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
(if (<=.f64 v #s(literal 399999999999999992182199093926056637831505556986905087656583932600456021545313089837077756937991934597688594391775801353679988012673760977536389163260176281218179124867782433308672 binary64)) (/.f64 v (neg.f64 (fma.f64 u (+.f64 #s(literal 2 binary64) (/.f64 u t1)) t1))) (*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u)))))
(if (<=.f64 u #s(literal -38000000000000001641138160815585758620992722099458589837572608885113653168630607800846884432472246158982163644043755520 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) t1) (/.f64 v u)) u) (/.f64 v (neg.f64 (fma.f64 u (+.f64 #s(literal 2 binary64) (/.f64 u t1)) t1))))
(if (<=.f64 t1 #s(literal -3100000000000000111907740469012634017412002198061056 binary64)) (neg.f64 (/.f64 v (fma.f64 u #s(literal 2 binary64) t1))) (if (<=.f64 t1 #s(literal 9000000000000000140034745165201587218413812572289552900327935223877504030482801329384868509235427029085856527810560 binary64)) (.f64 t1 (neg.f64 (/.f64 v (.f64 (+.f64 t1 u) (+.f64 t1 u))))) (neg.f64 (/.f64 v (fma.f64 u #s(literal 2 binary64) t1)))))
(if (<=.f64 u #s(literal -804410501186929/187072209578355573530071658587684226515959365500928 binary64)) (.f64 t1 (neg.f64 (/.f64 v (.f64 u (+.f64 t1 u))))) (if (<=.f64 u #s(literal 3682451937504207/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608 binary64)) (neg.f64 (/.f64 v (fma.f64 u #s(literal 2 binary64) t1))) (.f64 t1 (neg.f64 (/.f64 v (.f64 u (+.f64 t1 u)))))))
(if (<=.f64 u #s(literal -804410501186929/187072209578355573530071658587684226515959365500928 binary64)) (.f64 t1 (neg.f64 (/.f64 v (.f64 u u)))) (if (<=.f64 u #s(literal 6084722881095501/20282409603651670423947251286016 binary64)) (neg.f64 (/.f64 v (fma.f64 u #s(literal 2 binary64) t1))) (.f64 t1 (neg.f64 (/.f64 v (.f64 u u))))))
(neg.f64 (/.f64 v (fma.f64 u #s(literal 2 binary64) t1)))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u))
(if (<=.f64 u #s(literal -38000000000000001641138160815585758620992722099458589837572608885113653168630607800846884432472246158982163644043755520 binary64)) (*.f64 (/.f64 v u) #s(literal -1/2 binary64)) (neg.f64 (/.f64 v t1)))
(if (<=.f64 u #s(literal -38000000000000001641138160815585758620992722099458589837572608885113653168630607800846884432472246158982163644043755520 binary64)) (neg.f64 (/.f64 v u)) (neg.f64 (/.f64 v t1)))
(neg.f64 (/.f64 v t1))

Outputs
(*.f64 (/.f64 (neg.f64 v) (+.f64 t1 u)) (/.f64 t1 (+.f64 t1 u)))
(*.f64 (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) t1) u)) (/.f64 t1 (+.f64 t1 u)))
(if (<=.f64 v #s(literal 399999999999999992182199093926056637831505556986905087656583932600456021545313089837077756937991934597688594391775801353679988012673760977536389163260176281218179124867782433308672 binary64)) (/.f64 v (neg.f64 (fma.f64 u (+.f64 #s(literal 2 binary64) (/.f64 u t1)) t1))) (*.f64 t1 (neg.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 t1 u)))))
(if (<=.f64 v #s(literal 399999999999999992182199093926056637831505556986905087656583932600456021545313089837077756937991934597688594391775801353679988012673760977536389163260176281218179124867782433308672 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) v) (fma.f64 u (+.f64 #s(literal 2 binary64) (/.f64 u t1)) t1)) (*.f64 t1 (/.f64 (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) t1) u)) (+.f64 t1 u))))
(if (<=.f64 u #s(literal -38000000000000001641138160815585758620992722099458589837572608885113653168630607800846884432472246158982163644043755520 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) t1) (/.f64 v u)) u) (/.f64 v (neg.f64 (fma.f64 u (+.f64 #s(literal 2 binary64) (/.f64 u t1)) t1))))
(if (<=.f64 u #s(literal -38000000000000001641138160815585758620992722099458589837572608885113653168630607800846884432472246158982163644043755520 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t1 (/.f64 v u)) u)) (/.f64 (-.f64 #s(literal 0 binary64) v) (fma.f64 u (+.f64 #s(literal 2 binary64) (/.f64 u t1)) t1)))
(if (<=.f64 t1 #s(literal -3100000000000000111907740469012634017412002198061056 binary64)) (neg.f64 (/.f64 v (fma.f64 u #s(literal 2 binary64) t1))) (if (<=.f64 t1 #s(literal 9000000000000000140034745165201587218413812572289552900327935223877504030482801329384868509235427029085856527810560 binary64)) (.f64 t1 (neg.f64 (/.f64 v (.f64 (+.f64 t1 u) (+.f64 t1 u))))) (neg.f64 (/.f64 v (fma.f64 u #s(literal 2 binary64) t1)))))
(if (<=.f64 t1 #s(literal -3100000000000000111907740469012634017412002198061056 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 v (fma.f64 u #s(literal 2 binary64) t1))) (if (<=.f64 t1 #s(literal 9000000000000000140034745165201587218413812572289552900327935223877504030482801329384868509235427029085856527810560 binary64)) (.f64 t1 (/.f64 (-.f64 #s(literal 0 binary64) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))) (-.f64 #s(literal 0 binary64) (/.f64 v (fma.f64 u #s(literal 2 binary64) t1)))))
(if (<=.f64 u #s(literal -804410501186929/187072209578355573530071658587684226515959365500928 binary64)) (.f64 t1 (neg.f64 (/.f64 v (.f64 u (+.f64 t1 u))))) (if (<=.f64 u #s(literal 3682451937504207/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608 binary64)) (neg.f64 (/.f64 v (fma.f64 u #s(literal 2 binary64) t1))) (.f64 t1 (neg.f64 (/.f64 v (.f64 u (+.f64 t1 u)))))))
(if (<=.f64 u #s(literal -804410501186929/187072209578355573530071658587684226515959365500928 binary64)) (-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u (+.f64 t1 u))))) (if (<=.f64 u #s(literal 3682451937504207/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 v (fma.f64 u #s(literal 2 binary64) t1))) (-.f64 #s(literal 0 binary64) (.f64 t1 (/.f64 v (.f64 u (+.f64 t1 u)))))))
(if (<=.f64 u #s(literal -804410501186929/187072209578355573530071658587684226515959365500928 binary64)) (.f64 t1 (neg.f64 (/.f64 v (.f64 u u)))) (if (<=.f64 u #s(literal 6084722881095501/20282409603651670423947251286016 binary64)) (neg.f64 (/.f64 v (fma.f64 u #s(literal 2 binary64) t1))) (.f64 t1 (neg.f64 (/.f64 v (.f64 u u))))))
(if (<=.f64 u #s(literal -804410501186929/187072209578355573530071658587684226515959365500928 binary64)) (.f64 (-.f64 #s(literal 0 binary64) t1) (/.f64 v (.f64 u u))) (if (<=.f64 u #s(literal 6084722881095501/20282409603651670423947251286016 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 v (fma.f64 u #s(literal 2 binary64) t1))) (.f64 (-.f64 #s(literal 0 binary64) t1) (/.f64 v (.f64 u u)))))
(neg.f64 (/.f64 v (fma.f64 u #s(literal 2 binary64) t1)))
(-.f64 #s(literal 0 binary64) (/.f64 v (fma.f64 u #s(literal 2 binary64) t1)))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 t1 u))
(/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) t1) u))
(if (<=.f64 u #s(literal -38000000000000001641138160815585758620992722099458589837572608885113653168630607800846884432472246158982163644043755520 binary64)) (*.f64 (/.f64 v u) #s(literal -1/2 binary64)) (neg.f64 (/.f64 v t1)))
(if (<=.f64 u #s(literal -38000000000000001641138160815585758620992722099458589837572608885113653168630607800846884432472246158982163644043755520 binary64)) (*.f64 (/.f64 v u) #s(literal -1/2 binary64)) (/.f64 v (-.f64 #s(literal 0 binary64) t1)))
(if (<=.f64 u #s(literal -38000000000000001641138160815585758620992722099458589837572608885113653168630607800846884432472246158982163644043755520 binary64)) (neg.f64 (/.f64 v u)) (neg.f64 (/.f64 v t1)))
(if (<=.f64 u #s(literal -38000000000000001641138160815585758620992722099458589837572608885113653168630607800846884432472246158982163644043755520 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 v u)) (/.f64 v (-.f64 #s(literal 0 binary64) t1)))
(neg.f64 (/.f64 v t1))
(/.f64 v (-.f64 #s(literal 0 binary64) t1))

soundness1.6s (12.7%)

Memory

8.8MiB live, 1 736.3MiB allocated

Rules

17 774×	`accelerator-lowering-fma.f32`
17 774×	`accelerator-lowering-fma.f64`
13 062×	`accelerator-lowering-fma.f32`
13 062×	`accelerator-lowering-fma.f64`
10 128×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	752	5914
1	2348	5682
2	7298	5635
0	8082	5431
0	237	1287
1	736	1230
2	2393	1136
3	6904	1136
0	8116	1088
0	26	120
1	154	112
2	1273	108
0	8589	105
0	741	6327
1	2368	5972
2	6983	5850
0	8060	5669
0	280	3017
1	866	2930
2	2816	2744
0	8503	2701
0	8	24
1	52	24
2	391	24
3	5091	24
0	8388	24
0	23	99
1	155	88
2	1382	88
0	8890	88
0	23	109
1	174	109
2	1669	109
0	8921	109

Stop Event

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

Compiler

Compiled 704 to 359 computations (49% saved)

preprocess126.0ms (1%)

Memory: -5.7MiB live, 199.1MiB allocated
Remove: (negabs v)
Compiler: Compiled 644 to 242 computations (62.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze99.0ms (0.8%)

sample831.0ms (6.8%)

preprocess253.0ms (2.1%)

explain85.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify198.0ms (1.6%)

localize24.0ms (0.2%)

series14.0ms (0.1%)

rewrite344.0ms (2.8%)

simplify593.0ms (4.8%)

eval186.0ms (1.5%)

prune188.0ms (1.5%)

simplify336.0ms (2.7%)

localize414.0ms (3.4%)

series31.0ms (0.2%)

rewrite326.0ms (2.7%)

simplify488.0ms (4%)

eval313.0ms (2.5%)

prune333.0ms (2.7%)

simplify247.0ms (2%)

localize80.0ms (0.7%)

series38.0ms (0.3%)

rewrite466.0ms (3.8%)

simplify528.0ms (4.3%)

eval349.0ms (2.8%)

prune413.0ms (3.4%)

simplify193.0ms (1.6%)

localize72.0ms (0.6%)

series27.0ms (0.2%)

rewrite653.0ms (5.3%)

simplify969.0ms (7.9%)

eval557.0ms (4.5%)

prune401.0ms (3.3%)

regimes74.0ms (0.6%)

regimes60.0ms (0.5%)

regimes35.0ms (0.3%)

regimes113.0ms (0.9%)

regimes39.0ms (0.3%)

regimes14.0ms (0.1%)

regimes19.0ms (0.2%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes3.0ms (0%)

regimes5.0ms (0%)

bsearch8.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch25.0ms (0.2%)

bsearch25.0ms (0.2%)

bsearch21.0ms (0.2%)

bsearch23.0ms (0.2%)

bsearch11.0ms (0.1%)

simplify17.0ms (0.1%)

soundness1.6s (12.7%)

preprocess126.0ms (1%)

end0.0ms (0%)

Profiling