Metrics for Expression 4, p15

analyze18.0ms (0.3%)

Memory

-6.2MiB live, 31.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
50%	0%	0%	100%	0%	0%	0%	3
50%	0%	0%	100%	0%	0%	0%	4
75%	0%	0%	100%	0%	0%	0%	5
75%	0%	0%	100%	0%	0%	0%	6
87.5%	0%	0%	100%	0%	0%	0%	7
87.5%	0%	0%	100%	0%	0%	0%	8
93.8%	0%	0%	100%	0%	0%	0%	9
93.8%	0%	0%	100%	0%	0%	0%	10
96.9%	0%	0%	100%	0%	0%	0%	11
96.9%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample887.0ms (12.5%)

Memory

30.7MiB live, 1 480.4MiB allocated

Samples

637.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 411.0ms

ival-<=: 125.0ms (30.4% of total)

const: 119.0ms (29% of total)

ival-mult: 70.0ms (17% of total)

ival-add: 59.0ms (14.4% of total)

ival-and: 22.0ms (5.4% of total)

exact: 13.0ms (3.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

preprocess81.0ms (1.1%)

Memory

2.2MiB live, 45.5MiB allocated

Algorithm

2×	egg-herbie

Rules

570×	`distribute-rgt-in`
516×	`unsub-neg`
444×	`distribute-lft-in`
290×	`associate-+l-`
284×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	61	42
2	216	42
3	542	42
4	1086	42
5	1973	42
6	2789	42
7	2935	42
8	2935	42
9	2935	42
10	2977	42
11	2993	42
0	4	7
1	11	7
2	25	7
3	53	7
4	76	7
5	92	7
6	101	7
7	107	7
0	107	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* (+ a b) (+ a b))

Outputs
(* (+ a b) (+ a b))
(*.f64 (+.f64 a b) (+.f64 a b))

Call 2

Inputs
(* (+ a b) (+ a b))
(* (+ (neg a) b) (+ (neg a) b))
(* (+ a (neg b)) (+ a (neg b)))
(neg (* (+ (neg a) b) (+ (neg a) b)))
(neg (* (+ a (neg b)) (+ a (neg b))))
(* (+ b a) (+ b a))

Outputs
(* (+ a b) (+ a b))
(* (+ (neg a) b) (+ (neg a) b))
(* (- b a) (- b a))
(* (+ a (neg b)) (+ a (neg b)))
(* (- b a) (- b a))
(neg (* (+ (neg a) b) (+ (neg a) b)))
(* (- b a) (- a b))
(neg (* (+ a (neg b)) (+ a (neg b))))
(* (- b a) (- a b))
(* (+ b a) (+ b a))
(* (+ a b) (+ a b))

Symmetry

(sort a b)

explain46.0ms (0.6%)

Memory

-20.7MiB live, 94.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 a b)`
-	-	`(*.f64 (+.f64 a b) (+.f64 a b))`
-	-	`a`
-	-	`b`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

17.0ms

512×

valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (48.4% of total)

ival-mult: 3.0ms (48.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 9 to 4 computations (55.6% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(*.f64 (+.f64 a b) (+.f64 a b))

Compiler

Compiled 9 to 4 computations (55.6% saved)

simplify7.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 a b)
✓	cost-diff	0	(*.f64 (+.f64 a b) (+.f64 a b))

Rules

124×	`accelerator-lowering-fma.f32`
124×	`accelerator-lowering-fma.f64`
86×	`+-lowering-+.f64`
86×	`+-lowering-+.f32`
48×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
1	11	12
2	25	12
3	53	12
4	76	12
5	92	12
6	101	12
7	107	12
0	107	12

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (+ a b) (+ a b))
(+ a b)
a
b

Outputs
(* (+ a b) (+ a b))
(*.f64 (+.f64 a b) (+.f64 a b))
(+ a b)
(+.f64 a b)
a
b

localize20.0ms (0.3%)

Memory

-6.6MiB live, 35.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 a b)
✓	accuracy	99.9%	(*.f64 (+.f64 a b) (+.f64 a b))

Samples

12.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 1.0ms (32.5% of total)

ival-mult: 1.0ms (32.5% of total)

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

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

series2.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (* (+ a b) (+ a b))>
#<alt (+ a b)>

Outputs
#<alt (pow b 2)>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (pow a 2)>
#<alt (+ (* 2 (* a b)) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	b	@	-inf	(* (+ a b) (+ a b))
0.0ms	a	@	inf	(* (+ a b) (+ a b))
0.0ms	a	@	-inf	(* (+ a b) (+ a b))
0.0ms	a	@	0	(* (+ a b) (+ a b))
0.0ms	b	@	inf	(* (+ a b) (+ a b))

rewrite851.0ms (12%)

Memory

-144.2MiB live, 955.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 646×	`-lowering-.f32`
5 646×	`-lowering-.f64`
4 194×	`accelerator-lowering-fma.f32`
4 194×	`accelerator-lowering-fma.f64`
3 878×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	26	8
2	218	8
3	2800	8
0	9133	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 989

Calls

Call 1

Inputs
(* (+ a b) (+ a b))
(+ a b)

Outputs
(+.f64 (.f64 a a) (+.f64 (.f64 a b) (*.f64 b (+.f64 a b))))
(+.f64 (.f64 b b) (+.f64 (.f64 a b) (*.f64 a (+.f64 a b))))
(+.f64 (.f64 a b) (+.f64 (.f64 a a) (*.f64 b (+.f64 a b))))
(+.f64 (.f64 a b) (+.f64 (.f64 b b) (*.f64 a (+.f64 a b))))
(+.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b)))
(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
(+.f64 (+.f64 (.f64 a a) (.f64 b (+.f64 a b))) (*.f64 a b))
(+.f64 (+.f64 (.f64 a (+.f64 a b)) (.f64 a b)) (*.f64 b b))
(+.f64 (+.f64 (.f64 b (+.f64 a b)) (.f64 a b)) (*.f64 a a))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 a b))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 a b) (+.f64 a b))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (+.f64 a b))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (+.f64 a b)) (log.f64 (+.f64 a b))))
(-.f64 (/.f64 (.f64 (+.f64 a b) (.f64 a (.f64 a (+.f64 a b)))) (-.f64 (.f64 a a) (.f64 b b))) (/.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (.f64 b b)) (-.f64 (.f64 a a) (.f64 b b))))
(fma.f64 a a (+.f64 (.f64 a b) (.f64 b (+.f64 a b))))
(fma.f64 a b (+.f64 (.f64 a a) (.f64 b (+.f64 a b))))
(fma.f64 a b (+.f64 (.f64 b b) (.f64 a (+.f64 a b))))
(fma.f64 a (+.f64 a b) (*.f64 b (+.f64 a b)))
(fma.f64 b a (+.f64 (.f64 a a) (.f64 b (+.f64 a b))))
(fma.f64 b a (+.f64 (.f64 b b) (.f64 a (+.f64 a b))))
(fma.f64 b b (+.f64 (.f64 a b) (.f64 a (+.f64 a b))))
(fma.f64 b (+.f64 a b) (*.f64 a (+.f64 a b)))
(fma.f64 (+.f64 a b) a (*.f64 b (+.f64 a b)))
(fma.f64 (+.f64 a b) b (*.f64 a (+.f64 a b)))
(fma.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) a) (.f64 b (+.f64 a b)))
(fma.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) b) (.f64 a (+.f64 a b)))
(fma.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (/.f64 b (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) (*.f64 a (+.f64 a b)))
(fma.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (/.f64 a (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) (*.f64 b (+.f64 a b)))
(fma.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) a) (.f64 b (+.f64 a b)))
(fma.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) b) (.f64 a (+.f64 a b)))
(fma.f64 (-.f64 (.f64 a a) (.f64 b b)) (/.f64 b (-.f64 a b)) (*.f64 a (+.f64 a b)))
(fma.f64 (-.f64 (.f64 a a) (.f64 b b)) (/.f64 a (-.f64 a b)) (*.f64 b (+.f64 a b)))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b) (+.f64 (.f64 a b) (.f64 a (+.f64 a b))))
(fma.f64 (.f64 b (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) (.f64 a (+.f64 a b)))
(fma.f64 (.f64 b (-.f64 (.f64 a a) (.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 a b)) (.f64 a (+.f64 a b)))
(fma.f64 (.f64 a (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) (.f64 b (+.f64 a b)))
(fma.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) a)) (/.f64 #s(literal 1 binary64) (-.f64 a b)) (*.f64 b (+.f64 a b)))
(fma.f64 (/.f64 (.f64 b (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (-.f64 b a)) (.f64 b (.f64 (-.f64 b a) (.f64 b (-.f64 b a))))))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (-.f64 b a)) (-.f64 (.f64 b (-.f64 b a)) (.f64 a a)))) (*.f64 a (+.f64 a b)))
(fma.f64 (/.f64 (.f64 b (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 (.f64 a a) (.f64 b (-.f64 b a))))) (-.f64 (.f64 a a) (.f64 b (-.f64 b a))) (*.f64 a (+.f64 a b)))
(fma.f64 (/.f64 (.f64 b (-.f64 (.f64 a a) (.f64 b b))) (-.f64 (.f64 a a) (.f64 b b))) (+.f64 a b) (.f64 a (+.f64 a b)))
(fma.f64 (/.f64 (.f64 b (-.f64 (.f64 a a) (.f64 b b))) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 a a) (.f64 b (+.f64 a b))) (.f64 a (+.f64 a b)))
(fma.f64 (/.f64 (.f64 a (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (-.f64 b a)) (.f64 b (.f64 (-.f64 b a) (.f64 b (-.f64 b a))))))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (-.f64 b a)) (-.f64 (.f64 b (-.f64 b a)) (.f64 a a)))) (*.f64 b (+.f64 a b)))
(fma.f64 (/.f64 (.f64 a (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 (.f64 a a) (.f64 b (-.f64 b a))))) (-.f64 (.f64 a a) (.f64 b (-.f64 b a))) (*.f64 b (+.f64 a b)))
(fma.f64 (/.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) a)) (-.f64 (.f64 a a) (.f64 b b))) (+.f64 a b) (*.f64 b (+.f64 a b)))
(fma.f64 (/.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) a)) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 a a) (.f64 b (+.f64 a b))) (*.f64 b (+.f64 a b)))
(/.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 (-.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(/.f64 (.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))))
(/.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (.f64 (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b)))
(/.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (.f64 (-.f64 a b) (-.f64 a b))) (.f64 (-.f64 a b) (-.f64 a b)))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 a b) (.f64 a (.f64 a (+.f64 a b)))) (.f64 (.f64 b (+.f64 a b)) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (.f64 (+.f64 a b) (+.f64 a b))) (+.f64 (.f64 (+.f64 a b) (.f64 a (.f64 a (+.f64 a b)))) (.f64 (.f64 b (+.f64 a b)) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 a b))))))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 a b) (.f64 a (.f64 a (+.f64 a b)))) (.f64 (.f64 b (+.f64 a b)) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (.f64 (+.f64 a b) (+.f64 a b))) (+.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (.f64 b b)) (-.f64 (.f64 (+.f64 a b) (.f64 a (.f64 a (+.f64 a b)))) (.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a b)) (/.f64 #s(literal 1 binary64) (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) (.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 a b)) (.f64 (+.f64 a b) (.f64 (-.f64 a b) (+.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 a b) (-.f64 a b)) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (.f64 (-.f64 a b) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 a b) (.f64 a (.f64 a (+.f64 a b)))) (.f64 (.f64 b (+.f64 a b)) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (.f64 (+.f64 (.f64 (+.f64 a b) (.f64 a (.f64 a (+.f64 a b)))) (.f64 (.f64 b (+.f64 a b)) (/.f64 (-.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (.f64 (+.f64 a b) (+.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (-.f64 (.f64 a a) (.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (.f64 (+.f64 a b) (+.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a b) (.f64 (+.f64 a b) (-.f64 (.f64 a a) (*.f64 b b)))))
(/.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (-.f64 (.f64 a a) (.f64 b b))) (-.f64 (.f64 a a) (.f64 b b)))
(/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))))
(/.f64 (.f64 (+.f64 a b) (-.f64 (.f64 a a) (*.f64 b b))) (-.f64 a b))
(/.f64 (+.f64 (.f64 (.f64 a (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (.f64 b (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))))
(/.f64 (+.f64 (.f64 (.f64 a (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (-.f64 a b)) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (.f64 b (-.f64 (.f64 a a) (.f64 b b))))) (.f64 (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b)))
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(*.f64 (pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (.f64 a a) (*.f64 b b))) #s(literal 1 binary64)) (+.f64 a b))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (-.f64 b a)) (.f64 b (.f64 (-.f64 b a) (.f64 b (-.f64 b a))))))) #s(literal 1 binary64)) (pow.f64 (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (-.f64 b a)) (-.f64 (.f64 b (-.f64 b a)) (.f64 a a)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 (.f64 a a) (.f64 b (-.f64 b a))))) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 a a) (.f64 b (-.f64 b a))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (.f64 a a) (*.f64 b (+.f64 a b))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 b (.f64 b b)) (.f64 a (*.f64 a a)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b)))))
(.f64 (pow.f64 (/.f64 (-.f64 a b) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b))))))
(.f64 (pow.f64 (/.f64 (-.f64 a b) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (*.f64 b b))))
(.f64 (exp.f64 (log.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))))))
(.f64 (exp.f64 (log.f64 (-.f64 (.f64 a a) (*.f64 b b)))) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)))))

simplify305.0ms (4.3%)

Memory

20.1MiB live, 446.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 026×	`accelerator-lowering-fma.f32`
7 026×	`accelerator-lowering-fma.f64`
2 898×	`-lowering-.f32`
2 898×	`-lowering-.f64`
1 650×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	264
1	193	264
2	490	264
3	1595	252
4	3905	252
5	6954	252
0	8103	222

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))

Outputs
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(+ (* a (+ a (* 2 b))) (pow b 2))
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(+ (* a (+ a (* 2 b))) (pow b 2))
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(.f64 a (+.f64 a (.f64 b #s(literal 2 binary64))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(.f64 a (+.f64 a (.f64 b #s(literal 2 binary64))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(pow a 2)
(*.f64 a a)
(+ (* 2 (* a b)) (pow a 2))
(.f64 a (+.f64 a (.f64 b #s(literal 2 binary64))))
(+ (* b (+ b (* 2 a))) (pow a 2))
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(+ (* b (+ b (* 2 a))) (pow a 2))
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(.f64 b (+.f64 b (.f64 a (+.f64 #s(literal 2 binary64) (/.f64 a b)))))
b
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
a
(* a (+ 1 (/ b a)))
(+.f64 b a)
(* a (+ 1 (/ b a)))
(+.f64 b a)
(* a (+ 1 (/ b a)))
(+.f64 b a)
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 b a)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 b a)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 b a)
a
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
b
(* b (+ 1 (/ a b)))
(+.f64 b a)
(* b (+ 1 (/ a b)))
(+.f64 b a)
(* b (+ 1 (/ a b)))
(+.f64 b a)
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)

eval183.0ms (2.6%)

Memory: 22.2MiB live, 484.9MiB allocated
Compiler: Compiled 56 206 to 3 391 computations (94% saved)

prune248.0ms (3.5%)

Memory

-25.9MiB live, 355.0MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	1 147	6	1 153
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	1 147	7	1 154

Accuracy

100.0%

Counts

1 154 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
	99.8%	(/.f64 (.f64 (-.f64 (.f64 b b) (*.f64 a a)) (+.f64 a b)) (-.f64 b a))
▶	100.0%	(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
✓	99.9%	(*.f64 (+.f64 a b) (+.f64 a b))
▶	98.5%	(*.f64 (+.f64 a b) b)
▶	99.7%	(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
▶	98.4%	(*.f64 b b)

Compiler

Compiled 133 to 72 computations (45.9% saved)

simplify11.0ms (0.2%)

Memory

-16.8MiB live, 21.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 a b))
✓	cost-diff	0	(+.f64 a b)
✓	cost-diff	128	(/.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) a)
✓	cost-diff	0	(+.f64 b (*.f64 #s(literal 2 binary64) a))
✓	cost-diff	0	(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
✓	cost-diff	0	(+.f64 a b)
✓	cost-diff	0	(*.f64 (+.f64 a b) b)
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(*.f64 a (+.f64 a b))
✓	cost-diff	0	(+.f64 a b)
✓	cost-diff	0	(*.f64 b (+.f64 a b))
✓	cost-diff	256	(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))

Rules

124×	`accelerator-lowering-fma.f32`
124×	`accelerator-lowering-fma.f64`
86×	`+-lowering-+.f64`
86×	`+-lowering-+.f32`
50×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	72
1	38	72
2	66	72
3	94	72
4	119	72
5	131	72
6	139	72
7	144	72
8	144	72
0	144	70

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* b (+ a b)) (* a (+ a b)))
(* b (+ a b))
b
(+ a b)
a
(* a (+ a b))
(* b b)
b
(* (+ a b) b)
(+ a b)
a
b
(* b (+ b (* 2 a)))
b
(+ b (* 2 a))
(* 2 a)
2
a
(/ (+ a b) (/ 1 (+ a b)))
(+ a b)
a
b
(/ 1 (+ a b))
1

Outputs
(+ (* b (+ a b)) (* a (+ a b)))
(*.f64 (+.f64 b a) (+.f64 b a))
(* b (+ a b))
(*.f64 b (+.f64 b a))
b
(+ a b)
(+.f64 b a)
a
(* a (+ a b))
(*.f64 a (+.f64 b a))
(* b b)
(*.f64 b b)
b
(* (+ a b) b)
(*.f64 b (+.f64 b a))
(+ a b)
(+.f64 b a)
a
b
(* b (+ b (* 2 a)))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
b
(+ b (* 2 a))
(+.f64 b (*.f64 a #s(literal 2 binary64)))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)
a
(/ (+ a b) (/ 1 (+ a b)))
(*.f64 (+.f64 b a) (+.f64 b a))
(+ a b)
(+.f64 b a)
a
b
(/ 1 (+ a b))
(/.f64 #s(literal 1 binary64) (+.f64 b a))
1
#s(literal 1 binary64)

localize76.0ms (1.1%)

Memory

29.4MiB live, 103.7MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 a b)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 a b))
✓	accuracy	99.6%	(/.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
✓	accuracy	100.0%	(+.f64 b (*.f64 #s(literal 2 binary64) a))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) a)
✓	accuracy	100.0%	(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
✓	accuracy	100.0%	(+.f64 a b)
✓	accuracy	100.0%	(*.f64 (+.f64 a b) b)
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(+.f64 a b)
✓	accuracy	100.0%	(*.f64 b (+.f64 a b))
✓	accuracy	100.0%	(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
✓	accuracy	100.0%	(*.f64 a (+.f64 a b))

Samples

58.0ms

256×

valid

Compiler

Compiled 80 to 17 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 39.0ms (83.5% of total)

ival-add: 4.0ms (8.6% of total)

ival-div: 3.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.4%)

Memory

-20.2MiB live, 22.1MiB allocated

Counts

11 → 240

Calls

Call 1

Inputs
#<alt (+ (* b (+ a b)) (* a (+ a b)))>
#<alt (* b (+ a b))>
#<alt (+ a b)>
#<alt (* a (+ a b))>
#<alt (* b b)>
#<alt (* (+ a b) b)>
#<alt (* b (+ b (* 2 a)))>
#<alt (+ b (* 2 a))>
#<alt (* 2 a)>
#<alt (/ (+ a b) (/ 1 (+ a b)))>
#<alt (/ 1 (+ a b))>

Outputs
#<alt (pow a 2)>
#<alt (+ (* 2 (* a b)) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt (pow b 2)>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (* a b)>
#<alt (* b (+ a b))>
#<alt (* b (+ a b))>
#<alt (* b (+ a b))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (pow b 2)>
#<alt (+ (* a b) (pow b 2))>
#<alt (+ (* a b) (pow b 2))>
#<alt (+ (* a b) (pow b 2))>
#<alt (* a b)>
#<alt (* a (+ b (/ (pow b 2) a)))>
#<alt (* a (+ b (/ (pow b 2) a)))>
#<alt (* a (+ b (/ (pow b 2) a)))>
#<alt (* a b)>
#<alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* a b)>
#<alt (* a (+ a b))>
#<alt (* a (+ a b))>
#<alt (* a (+ a b))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (* (pow a 2) (+ 1 (/ b a)))>
#<alt (pow a 2)>
#<alt (+ (* a b) (pow a 2))>
#<alt (+ (* a b) (pow a 2))>
#<alt (+ (* a b) (pow a 2))>
#<alt (* a b)>
#<alt (* b (+ a (/ (pow a 2) b)))>
#<alt (* b (+ a (/ (pow a 2) b)))>
#<alt (* b (+ a (/ (pow a 2) b)))>
#<alt (* a b)>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))>
#<alt (* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (+ (* a b) (pow b 2))>
#<alt (+ (* a b) (pow b 2))>
#<alt (+ (* a b) (pow b 2))>
#<alt (* a b)>
#<alt (* a (+ b (/ (pow b 2) a)))>
#<alt (* a (+ b (/ (pow b 2) a)))>
#<alt (* a (+ b (/ (pow b 2) a)))>
#<alt (* a b)>
#<alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* a b)>
#<alt (* b (+ a b))>
#<alt (* b (+ a b))>
#<alt (* b (+ a b))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* (pow b 2) (+ 1 (/ a b)))>
#<alt (* 2 (* a b))>
#<alt (* b (+ b (* 2 a)))>
#<alt (* b (+ b (* 2 a)))>
#<alt (* b (+ b (* 2 a)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (pow b 2)>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (* 2 (* a b))>
#<alt (* a (+ (* 2 b) (/ (pow b 2) a)))>
#<alt (* a (+ (* 2 b) (/ (pow b 2) a)))>
#<alt (* a (+ (* 2 b) (/ (pow b 2) a)))>
#<alt (* 2 (* a b))>
#<alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* 2 a)>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ a b))))>
#<alt (* b (+ 1 (* 2 (/ a b))))>
#<alt (* b (+ 1 (* 2 (/ a b))))>
#<alt b>
#<alt (* -1 (* b (- (* -2 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -2 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -2 (/ a b)) 1)))>
#<alt b>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (/ b a)))>
#<alt (* a (+ 2 (/ b a)))>
#<alt (* a (+ 2 (/ b a)))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -1 (/ b a)) 2)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 2)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 2)))>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (pow b 2)>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (+ (* a (+ a (* 2 b))) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 2 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))>
#<alt (pow a 2)>
#<alt (+ (* 2 (* a b)) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (+ (* b (+ b (* 2 a))) (pow a 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))>
#<alt (/ 1 b)>
#<alt (+ (* -1 (/ a (pow b 2))) (/ 1 b))>
#<alt (+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b))>
#<alt (+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* -1 (/ b a))) a)>
#<alt (/ (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)) a)>
#<alt (/ (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))) a)>
#<alt (/ 1 a)>
#<alt (* -1 (/ (- (/ b a) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1) a))>
#<alt (/ 1 a)>
#<alt (+ (* -1 (/ b (pow a 2))) (/ 1 a))>
#<alt (+ (* b (- (/ b (pow a 3)) (/ 1 (pow a 2)))) (/ 1 a))>
#<alt (+ (* b (- (* b (+ (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* -1 (/ a b))) b)>
#<alt (/ (- (+ 1 (/ (pow a 2) (pow b 2))) (/ a b)) b)>
#<alt (/ (- (+ 1 (* -1 (/ (pow a 3) (pow b 3)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))) b)>
#<alt (/ 1 b)>
#<alt (* -1 (/ (- (/ a b) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b)) a) b)) 1) b))>

Calls

60 calls:

Time	Variable		Point	Expression
16.0ms	a	@	-inf	(* 2 a)
1.0ms	a	@	inf	(* 2 a)
1.0ms	b	@	-inf	(* b (+ a b))
0.0ms	b	@	-inf	(* b (+ b (* 2 a)))
0.0ms	b	@	0	(* b (+ b (* 2 a)))

rewrite719.0ms (10.2%)

Memory

7.7MiB live, 966.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 506×	`accelerator-lowering-fma.f32`
9 506×	`accelerator-lowering-fma.f64`
5 842×	`-lowering-.f32`
5 842×	`-lowering-.f64`
4 154×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	55
1	83	51
2	710	51
0	8352	49

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 1 183

Calls

Call 1

Inputs
(+ (* b (+ a b)) (* a (+ a b)))
(* b (+ a b))
(+ a b)
(* a (+ a b))
(* b b)
(* (+ a b) b)
(* b (+ b (* 2 a)))
(+ b (* 2 a))
(* 2 a)
(/ (+ a b) (/ 1 (+ a b)))
(/ 1 (+ a b))

Outputs
(+.f64 (.f64 b (+.f64 b a)) (.f64 a (+.f64 b a)))
(+.f64 (.f64 a (+.f64 b a)) (.f64 b (+.f64 b a)))
(+.f64 (.f64 b b) (.f64 a (+.f64 (+.f64 b a) b)))
(+.f64 (.f64 a a) (.f64 b (+.f64 a (+.f64 b a))))
(+.f64 (.f64 b a) (+.f64 (.f64 a (+.f64 b a)) (*.f64 b b)))
(+.f64 (.f64 b a) (+.f64 (.f64 b (+.f64 b a)) (*.f64 a a)))
(+.f64 (/.f64 (.f64 (+.f64 b a) (.f64 b (.f64 b (+.f64 b a)))) (-.f64 (.f64 b b) (.f64 a a))) (neg.f64 (/.f64 (.f64 (+.f64 b a) (.f64 a (.f64 a (+.f64 b a)))) (-.f64 (.f64 b b) (.f64 a a)))))
(+.f64 (+.f64 (.f64 a (+.f64 b a)) (.f64 b b)) (*.f64 b a))
(+.f64 (.f64 a (+.f64 (+.f64 b a) b)) (.f64 b b))
(+.f64 (+.f64 (.f64 b (+.f64 b a)) (.f64 a a)) (*.f64 b a))
(+.f64 (.f64 b (+.f64 a (+.f64 b a))) (.f64 a a))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 #s(literal 1 binary64) (.f64 b (+.f64 a (+.f64 b a)))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 b a)) (.f64 #s(literal 1 binary64) (+.f64 (.f64 b (+.f64 b a)) (*.f64 a a))))
(+.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 b (+.f64 b a)) (.f64 a a))) (.f64 #s(literal 1 binary64) (*.f64 b a)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 a (+.f64 (+.f64 b a) b))) (.f64 #s(literal 1 binary64) (.f64 b b)))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (-.f64 #s(literal 0 binary64) b)) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (-.f64 #s(literal 0 binary64) a)) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (-.f64 #s(literal 0 binary64) b)))
(+.f64 (.f64 (.f64 a a) #s(literal 1 binary64)) (.f64 (.f64 b (+.f64 a (+.f64 b a))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 b a) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 b (+.f64 b a)) (*.f64 a a)) #s(literal 1 binary64)))
(+.f64 (.f64 (+.f64 (.f64 b (+.f64 b a)) (.f64 a a)) #s(literal 1 binary64)) (.f64 (*.f64 b a) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 a (+.f64 (+.f64 b a) b)) #s(literal 1 binary64)) (.f64 (.f64 b b) #s(literal 1 binary64)))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (+.f64 b a))) (.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (+.f64 b a))))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (+.f64 b a))) (.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (+.f64 b a))))
(exp.f64 (*.f64 (log.f64 (+.f64 b a)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 b a) (+.f64 b a)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 b a) (+.f64 b a))))
(-.f64 (/.f64 (.f64 (+.f64 b a) (.f64 b (.f64 b (+.f64 b a)))) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 (.f64 (+.f64 b a) (.f64 a (.f64 a (+.f64 b a)))) (-.f64 (.f64 b b) (.f64 a a))))
(-.f64 (/.f64 (/.f64 (.f64 a a) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (+.f64 b a))) (/.f64 (/.f64 (.f64 b b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (+.f64 b a))))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 b a) (.f64 b (.f64 b (+.f64 b a)))) (-.f64 (.f64 b b) (.f64 a a))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (+.f64 b a) (.f64 a (.f64 a (+.f64 b a)))) (-.f64 (.f64 b b) (.f64 a a))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))) (neg.f64 (*.f64 (+.f64 b a) (+.f64 b a))))
(-.f64 (/.f64 (.f64 a a) (/.f64 (-.f64 a b) (+.f64 b a))) (/.f64 (.f64 b b) (/.f64 (-.f64 a b) (+.f64 b a))))
(-.f64 (/.f64 (.f64 (+.f64 b a) (.f64 a (.f64 a (+.f64 b a)))) (-.f64 (.f64 a a) (.f64 b b))) (/.f64 (.f64 (+.f64 b a) (.f64 b (.f64 b (+.f64 b a)))) (-.f64 (.f64 a a) (.f64 b b))))
(fma.f64 b b (*.f64 a (+.f64 (+.f64 b a) b)))
(fma.f64 b a (+.f64 (.f64 a (+.f64 b a)) (.f64 b b)))
(fma.f64 b a (+.f64 (.f64 b (+.f64 b a)) (.f64 a a)))
(fma.f64 b (+.f64 b a) (*.f64 a (+.f64 b a)))
(fma.f64 b (+.f64 a (+.f64 b a)) (*.f64 a a))
(fma.f64 a b (+.f64 (.f64 a (+.f64 b a)) (.f64 b b)))
(fma.f64 a b (+.f64 (.f64 b (+.f64 b a)) (.f64 a a)))
(fma.f64 a a (*.f64 b (+.f64 a (+.f64 b a))))
(fma.f64 a (+.f64 b a) (*.f64 b (+.f64 b a)))
(fma.f64 a (+.f64 (+.f64 b a) b) (*.f64 b b))
(fma.f64 (+.f64 b a) b (*.f64 a (+.f64 b a)))
(fma.f64 (+.f64 b a) a (*.f64 b (+.f64 b a)))
(fma.f64 (+.f64 b a) (.f64 #s(literal 1 binary64) b) (.f64 a (+.f64 b a)))
(fma.f64 (+.f64 b a) (.f64 #s(literal 1 binary64) a) (.f64 b (+.f64 b a)))
(fma.f64 (.f64 b (+.f64 b a)) #s(literal 1 binary64) (.f64 a (+.f64 b a)))
(fma.f64 (.f64 a (+.f64 b a)) #s(literal 1 binary64) (.f64 b (+.f64 b a)))
(fma.f64 #s(literal 1 binary64) (.f64 b (+.f64 b a)) (.f64 a (+.f64 b a)))
(fma.f64 #s(literal 1 binary64) (.f64 a (+.f64 b a)) (.f64 b (+.f64 b a)))
(fma.f64 #s(literal 1 binary64) (.f64 a a) (.f64 #s(literal 1 binary64) (*.f64 b (+.f64 a (+.f64 b a)))))
(fma.f64 #s(literal 1 binary64) (.f64 b a) (.f64 #s(literal 1 binary64) (+.f64 (.f64 b (+.f64 b a)) (.f64 a a))))
(fma.f64 #s(literal 1 binary64) (.f64 a (+.f64 (+.f64 b a) b)) (.f64 #s(literal 1 binary64) (*.f64 b b)))
(fma.f64 #s(literal 1 binary64) (+.f64 (.f64 b (+.f64 b a)) (.f64 a a)) (.f64 #s(literal 1 binary64) (.f64 b a)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 a (+.f64 b a))) (.f64 b (+.f64 b a)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 b (+.f64 b a))) (.f64 a (+.f64 b a)))
(fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (-.f64 #s(literal 0 binary64) b) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (-.f64 #s(literal 0 binary64) a) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (.f64 (+.f64 b a) (.f64 b (.f64 b (+.f64 b a)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) (neg.f64 (/.f64 (.f64 (+.f64 b a) (.f64 a (.f64 a (+.f64 b a)))) (-.f64 (.f64 b b) (.f64 a a)))))
(fma.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) a) (.f64 b (+.f64 b a)))
(fma.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) b) (.f64 a (+.f64 b a)))
(fma.f64 (.f64 a a) #s(literal 1 binary64) (.f64 (*.f64 b (+.f64 a (+.f64 b a))) #s(literal 1 binary64)))
(fma.f64 (.f64 b a) #s(literal 1 binary64) (.f64 (+.f64 (.f64 b (+.f64 b a)) (.f64 a a)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) a) (.f64 b (+.f64 b a)))
(fma.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) b) (.f64 a (+.f64 b a)))
(fma.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b a) (-.f64 (.f64 b a) (.f64 a a))))) (.f64 b (+.f64 b a)))
(fma.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 a (.f64 b a))) (.f64 (.f64 b b) (.f64 b (-.f64 b a))))) (*.f64 a (+.f64 b a)))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (+.f64 b a)) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (+.f64 b a))))
(fma.f64 (.f64 (.f64 a (+.f64 b a)) (.f64 a (-.f64 a b))) (/.f64 #s(literal 1 binary64) (.f64 a (-.f64 a b))) (*.f64 b (+.f64 b a)))
(fma.f64 (.f64 (.f64 b (+.f64 b a)) (.f64 b (-.f64 a b))) (/.f64 #s(literal 1 binary64) (.f64 b (-.f64 a b))) (*.f64 a (+.f64 b a)))
(fma.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (+.f64 b a)) (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (+.f64 b a))))
(fma.f64 (.f64 a (+.f64 (+.f64 b a) b)) #s(literal 1 binary64) (.f64 (*.f64 b b) #s(literal 1 binary64)))
(fma.f64 (+.f64 (.f64 b (+.f64 b a)) (.f64 a a)) #s(literal 1 binary64) (.f64 (.f64 b a) #s(literal 1 binary64)))
(fma.f64 (.f64 b (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) (.f64 a (+.f64 b a)))
(fma.f64 (.f64 (.f64 b (+.f64 b a)) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 a b)) (*.f64 a (+.f64 b a)))
(fma.f64 (.f64 a (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) (.f64 b (+.f64 b a)))
(fma.f64 (.f64 (.f64 a (+.f64 b a)) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 a b)) (*.f64 b (+.f64 b a)))
(fma.f64 (.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) b) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) (.f64 a (+.f64 b a)))
(fma.f64 (.f64 (+.f64 b a) (.f64 (-.f64 a b) b)) (/.f64 #s(literal 1 binary64) (-.f64 a b)) (*.f64 a (+.f64 b a)))
(fma.f64 (.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) a) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) (.f64 b (+.f64 b a)))
(fma.f64 (.f64 (+.f64 b a) (.f64 (-.f64 a b) a)) (/.f64 #s(literal 1 binary64) (-.f64 a b)) (*.f64 b (+.f64 b a)))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 a (+.f64 (+.f64 b a) b)))
(fma.f64 (/.f64 (.f64 b b) (+.f64 b a)) (/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (-.f64 b a)) (neg.f64 (/.f64 (.f64 (+.f64 b a) (.f64 a (.f64 a (+.f64 b a)))) (-.f64 (.f64 b b) (*.f64 a a)))))
(fma.f64 (/.f64 (+.f64 b a) (+.f64 b a)) (/.f64 (.f64 b (.f64 b (+.f64 b a))) (-.f64 b a)) (neg.f64 (/.f64 (.f64 (+.f64 b a) (.f64 a (.f64 a (+.f64 b a)))) (-.f64 (.f64 b b) (*.f64 a a)))))
(fma.f64 (/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (+.f64 b a)) (/.f64 (.f64 b b) (-.f64 b a)) (neg.f64 (/.f64 (.f64 (+.f64 b a) (.f64 a (.f64 a (+.f64 b a)))) (-.f64 (.f64 b b) (*.f64 a a)))))
(fma.f64 (/.f64 b (+.f64 b a)) (/.f64 (.f64 b (.f64 (+.f64 b a) (+.f64 b a))) (-.f64 b a)) (neg.f64 (/.f64 (.f64 (+.f64 b a) (.f64 a (.f64 a (+.f64 b a)))) (-.f64 (.f64 b b) (*.f64 a a)))))
(fma.f64 (/.f64 (.f64 b (+.f64 b a)) (+.f64 b a)) (/.f64 (.f64 b (+.f64 b a)) (-.f64 b a)) (neg.f64 (/.f64 (.f64 (+.f64 b a) (.f64 a (.f64 a (+.f64 b a)))) (-.f64 (.f64 b b) (*.f64 a a)))))
(fma.f64 (/.f64 (.f64 b (.f64 b (+.f64 b a))) (+.f64 b a)) (/.f64 (+.f64 b a) (-.f64 b a)) (neg.f64 (/.f64 (.f64 (+.f64 b a) (.f64 a (.f64 a (+.f64 b a)))) (-.f64 (.f64 b b) (*.f64 a a)))))
(fma.f64 (/.f64 (.f64 b (.f64 (+.f64 b a) (+.f64 b a))) (+.f64 b a)) (/.f64 b (-.f64 b a)) (neg.f64 (/.f64 (.f64 (+.f64 b a) (.f64 a (.f64 a (+.f64 b a)))) (-.f64 (.f64 b b) (*.f64 a a)))))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (*.f64 b (+.f64 a (+.f64 b a))))
(fma.f64 (.f64 b #s(literal 1 binary64)) (+.f64 b a) (.f64 a (+.f64 b a)))
(fma.f64 (.f64 a #s(literal 1 binary64)) (+.f64 b a) (.f64 b (+.f64 b a)))
(fma.f64 (.f64 b #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 b a)) (.f64 a (+.f64 b a)))
(fma.f64 (.f64 a #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 b a)) (.f64 b (+.f64 b a)))
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(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 b a) (-.f64 (.f64 a a) (.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (+.f64 b a) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b))) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b a)) (-.f64 a b)))
(.f64 (/.f64 (.f64 (+.f64 b a) (+.f64 b a)) (+.f64 b a)) (+.f64 b a))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64))) (/.f64 (+.f64 b a) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64))))
(.f64 (/.f64 (+.f64 b a) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))))
(*.f64 (/.f64 (+.f64 b a) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (/.f64 (+.f64 b a) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b))) (/.f64 (+.f64 b a) (-.f64 a b)))
(.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))) (/.f64 #s(literal -1 binary64) (+.f64 b a))))
(.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64))))
(.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))))
(.f64 (/.f64 (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))) (-.f64 a b)))
(.f64 (/.f64 (-.f64 (.f64 a a) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (/.f64 #s(literal -1 binary64) (+.f64 b a))))
(.f64 (/.f64 (-.f64 (.f64 a a) (*.f64 b b)) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64))))
(.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))))
(.f64 (/.f64 (-.f64 (.f64 a a) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) (-.f64 a b)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 b a) (+.f64 b a))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 b a) (+.f64 b a))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 b a) (.f64 (+.f64 b a) (+.f64 b a))) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 b a) (.f64 b (.f64 b (+.f64 b a)))) (.f64 (.f64 a (+.f64 b a)) (-.f64 (.f64 a a) (.f64 b b))))))
(.f64 (/.f64 (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (-.f64 (.f64 b b) (.f64 a a)))) (.f64 (+.f64 b a) (+.f64 b a)))
(.f64 (/.f64 (.f64 (.f64 (+.f64 b a) (.f64 (+.f64 b a) (+.f64 b a))) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 (.f64 b (+.f64 b a)) (.f64 (.f64 (+.f64 b a) (.f64 b (.f64 b (+.f64 b a)))) (.f64 (.f64 b (+.f64 b a)) (.f64 (+.f64 b a) (.f64 b (.f64 b (+.f64 b a))))))) (.f64 (.f64 (.f64 a (+.f64 b a)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 (+.f64 b a) (.f64 a (.f64 a (+.f64 b a)))) (.f64 (+.f64 b a) (.f64 (-.f64 a b) (-.f64 (.f64 a a) (.f64 b b)))))))) (+.f64 (.f64 (.f64 (+.f64 b a) (.f64 b (.f64 b (+.f64 b a)))) (.f64 (+.f64 b a) (.f64 b (.f64 b (+.f64 b a))))) (.f64 (.f64 (.f64 a (+.f64 b a)) (-.f64 (.f64 a a) (.f64 b b))) (-.f64 (.f64 (.f64 a (+.f64 b a)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 b a) (.f64 b (*.f64 b (+.f64 b a))))))))
(.f64 (/.f64 (.f64 (.f64 (+.f64 b a) (.f64 (+.f64 b a) (+.f64 b a))) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (-.f64 (.f64 (.f64 (+.f64 b a) (.f64 b (.f64 b (+.f64 b a)))) (.f64 (+.f64 b a) (.f64 b (.f64 b (+.f64 b a))))) (.f64 (.f64 (+.f64 b a) (.f64 a (.f64 a (+.f64 b a)))) (.f64 (+.f64 b a) (.f64 (-.f64 a b) (-.f64 (.f64 a a) (.f64 b b))))))) (-.f64 (.f64 (+.f64 b a) (.f64 b (.f64 b (+.f64 b a)))) (.f64 (.f64 a (+.f64 b a)) (-.f64 (.f64 a a) (.f64 b b)))))
(.f64 (/.f64 (.f64 (.f64 (+.f64 b a) (+.f64 b a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (.f64 (+.f64 b a) (.f64 (+.f64 b a) (+.f64 b a))) (-.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (+.f64 (.f64 (+.f64 b a) (.f64 b (.f64 b (+.f64 b a)))) (.f64 (.f64 a (+.f64 b a)) (.f64 (+.f64 b a) (+.f64 b a)))))
(.f64 (/.f64 (.f64 (+.f64 b a) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (-.f64 b a)) (.f64 (.f64 b (-.f64 b a)) (.f64 b (-.f64 b a)))))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (-.f64 b a)) (-.f64 (.f64 b b) (*.f64 a (+.f64 b a))))))
(.f64 (/.f64 (.f64 (+.f64 b a) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (-.f64 b a)) (.f64 b (-.f64 b a))))) (-.f64 (.f64 a a) (.f64 b (-.f64 b a))))
(.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 (.f64 a a) (.f64 b b))) (-.f64 (.f64 a a) (.f64 b b))) (+.f64 b a))
(.f64 (/.f64 (.f64 (+.f64 b a) (-.f64 (.f64 a a) (.f64 b b))) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 a (+.f64 b a)) (.f64 b b)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (.f64 a a)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (.f64 b (-.f64 b a))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (.f64 b (-.f64 b a))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (.f64 a a)))
(+.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b)) a) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b)) (-.f64 #s(literal 0 binary64) b)))
(+.f64 (.f64 (.f64 a a) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (.f64 (.f64 b (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))))
(+.f64 (.f64 (.f64 b (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (.f64 (.f64 a a) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))))
(+.f64 (.f64 a (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b))) (.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b))))
(exp.f64 (*.f64 (log.f64 (+.f64 b a)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))
(-.f64 (/.f64 a (-.f64 (.f64 a a) (.f64 b b))) (/.f64 b (-.f64 (.f64 a a) (.f64 b b))))
(-.f64 (/.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 (.f64 b a) (+.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b)))))
(fma.f64 a (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b)) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b))))
(fma.f64 (.f64 a a) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (.f64 (.f64 b (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b))))))
(fma.f64 (.f64 b (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (.f64 (.f64 a a) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (.f64 a a) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (*.f64 b (-.f64 b a))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (.f64 b (-.f64 b a)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (*.f64 a a)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b)) a (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b)) (-.f64 #s(literal 0 binary64) b)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)))
(/.f64 #s(literal 1 binary64) (+.f64 b a))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b a)))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) #s(literal -1 binary64))
(/.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))
(/.f64 (-.f64 a b) (-.f64 (.f64 a a) (.f64 b b)))
(/.f64 (/.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 a b)) (*.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) (-.f64 a b))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (-.f64 b a)) (.f64 (.f64 b (-.f64 b a)) (.f64 b (-.f64 b a)))))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (-.f64 b a)) (-.f64 (.f64 b b) (.f64 a (+.f64 b a))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b (-.f64 b a)) (.f64 b (-.f64 b a))))) (-.f64 (.f64 a a) (*.f64 b (-.f64 b a))))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b)) (-.f64 (.f64 a a) (*.f64 b b))) (+.f64 b a))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b)) (-.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 a (+.f64 b a)) (*.f64 b b)))
(/.f64 (/.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))) (+.f64 b a))
(pow.f64 (+.f64 b a) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 b a) (+.f64 b a)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 b a) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 b a))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b)))))
(*.f64 (-.f64 a b) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 b a)) (-.f64 b a))
(*.f64 (pow.f64 (+.f64 b a) #s(literal -1/2 binary64)) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (+.f64 b a) #s(literal -1/2 binary64)) (.f64 (pow.f64 (+.f64 b a) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 (.f64 b b) (*.f64 a (-.f64 a b))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b)) (-.f64 a b))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b a)) (-.f64 a b)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 (.f64 a a) (*.f64 b b))) (-.f64 #s(literal 0 binary64) (-.f64 a b)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64))) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64)))
(.f64 (/.f64 (-.f64 a b) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (+.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a a)))))
(.f64 (/.f64 (-.f64 a b) (-.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 b (.f64 b (.f64 b b))))) (+.f64 (.f64 a a) (*.f64 b b)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 b a) (-.f64 #s(literal 0 binary64) (-.f64 a b)))) (-.f64 #s(literal 0 binary64) (-.f64 a b)))
(.f64 (/.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))))) (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (-.f64 (.f64 b (.f64 b b)) (.f64 a (*.f64 a a))))))
(.f64 (/.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (-.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b))))

simplify516.0ms (7.3%)

Memory

-2.6MiB live, 590.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 720×	`accelerator-lowering-fma.f32`
8 720×	`accelerator-lowering-fma.f64`
4 264×	`-lowering-.f32`
4 264×	`-lowering-.f64`
1 458×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	1552
1	608	1510
2	1588	1464
3	4939	1368
0	8512	1268

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* a b)
(* b (+ a b))
(* b (+ a b))
(* b (+ a b))
(pow b 2)
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(pow b 2)
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(pow b 2)
(+ (* a b) (pow b 2))
(+ (* a b) (pow b 2))
(+ (* a b) (pow b 2))
(* a b)
(* a (+ b (/ (pow b 2) a)))
(* a (+ b (/ (pow b 2) a)))
(* a (+ b (/ (pow b 2) a)))
(* a b)
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* a b)
(* a (+ a b))
(* a (+ a b))
(* a (+ a b))
(pow a 2)
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(pow a 2)
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (/ b a)))
(pow a 2)
(+ (* a b) (pow a 2))
(+ (* a b) (pow a 2))
(+ (* a b) (pow a 2))
(* a b)
(* b (+ a (/ (pow a 2) b)))
(* b (+ a (/ (pow a 2) b)))
(* b (+ a (/ (pow a 2) b)))
(* a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(+ (* a b) (pow b 2))
(+ (* a b) (pow b 2))
(+ (* a b) (pow b 2))
(* a b)
(* a (+ b (/ (pow b 2) a)))
(* a (+ b (/ (pow b 2) a)))
(* a (+ b (/ (pow b 2) a)))
(* a b)
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(* a b)
(* b (+ a b))
(* b (+ a b))
(* b (+ a b))
(pow b 2)
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(pow b 2)
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(* (pow b 2) (+ 1 (/ a b)))
(* 2 (* a b))
(* b (+ b (* 2 a)))
(* b (+ b (* 2 a)))
(* b (+ b (* 2 a)))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* 2 (* a b)) (pow b 2))
(+ (* 2 (* a b)) (pow b 2))
(* 2 (* a b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* 2 (* a b))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* 2 a)
(+ b (* 2 a))
(+ b (* 2 a))
(+ b (* 2 a))
b
(* b (+ 1 (* 2 (/ a b))))
(* b (+ 1 (* 2 (/ a b))))
(* b (+ 1 (* 2 (/ a b))))
b
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* -1 (* b (- (* -2 (/ a b)) 1)))
b
(+ b (* 2 a))
(+ b (* 2 a))
(+ b (* 2 a))
(* 2 a)
(* a (+ 2 (/ b a)))
(* a (+ 2 (/ b a)))
(* a (+ 2 (/ b a)))
(* 2 a)
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(/ 1 b)
(+ (* -1 (/ a (pow b 2))) (/ 1 b))
(+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b))
(+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))
(/ 1 a)
(/ (+ 1 (* -1 (/ b a))) a)
(/ (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)) a)
(/ (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))) a)
(/ 1 a)
(* -1 (/ (- (/ b a) 1) a))
(* -1 (/ (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1) a))
(/ 1 a)
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(+ (* b (- (/ b (pow a 3)) (/ 1 (pow a 2)))) (/ 1 a))
(+ (* b (- (* b (+ (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))
(/ 1 b)
(/ (+ 1 (* -1 (/ a b))) b)
(/ (- (+ 1 (/ (pow a 2) (pow b 2))) (/ a b)) b)
(/ (- (+ 1 (* -1 (/ (pow a 3) (pow b 3)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))) b)
(/ 1 b)
(* -1 (/ (- (/ a b) 1) b))
(* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b)) a) b)) 1) b))

Outputs
(pow a 2)
(*.f64 a a)
(+ (* 2 (* a b)) (pow a 2))
(.f64 a (+.f64 a (.f64 #s(literal 2 binary64) b)))
(+ (* b (+ b (* 2 a))) (pow a 2))
(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))
(+ (* b (+ b (* 2 a))) (pow a 2))
(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (-.f64 b (.f64 a #s(literal -2 binary64))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (-.f64 b (.f64 a #s(literal -2 binary64))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(.f64 b (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (-.f64 #s(literal -2 binary64) (/.f64 a b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(.f64 b (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (-.f64 #s(literal -2 binary64) (/.f64 a b))) b))))
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(.f64 b (-.f64 b (.f64 a #s(literal -2 binary64))))
(+ (* a (+ a (* 2 b))) (pow b 2))
(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))
(+ (* a (+ a (* 2 b))) (pow b 2))
(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(.f64 a (+.f64 a (.f64 #s(literal 2 binary64) b)))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(.f64 a (+.f64 a (.f64 #s(literal 2 binary64) b)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))
(* a b)
(*.f64 a b)
(* b (+ a b))
(*.f64 b (+.f64 a b))
(* b (+ a b))
(*.f64 b (+.f64 a b))
(* b (+ a b))
(*.f64 b (+.f64 a b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (+.f64 a b))
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (+.f64 a b))
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (+.f64 a b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (+.f64 a b))
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (+.f64 a b))
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (+.f64 a b))
(pow b 2)
(*.f64 b b)
(+ (* a b) (pow b 2))
(*.f64 b (+.f64 a b))
(+ (* a b) (pow b 2))
(*.f64 b (+.f64 a b))
(+ (* a b) (pow b 2))
(*.f64 b (+.f64 a b))
(* a b)
(*.f64 a b)
(* a (+ b (/ (pow b 2) a)))
(*.f64 b (+.f64 a b))
(* a (+ b (/ (pow b 2) a)))
(*.f64 b (+.f64 a b))
(* a (+ b (/ (pow b 2) a)))
(*.f64 b (+.f64 a b))
(* a b)
(*.f64 a b)
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(*.f64 b (+.f64 a b))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(*.f64 b (+.f64 a b))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(*.f64 b (+.f64 a b))
b
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
a
(* a (+ 1 (/ b a)))
(+.f64 a b)
(* a (+ 1 (/ b a)))
(+.f64 a b)
(* a (+ 1 (/ b a)))
(+.f64 a b)
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 a b)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 a b)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 a b)
a
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
b
(* b (+ 1 (/ a b)))
(+.f64 a b)
(* b (+ 1 (/ a b)))
(+.f64 a b)
(* b (+ 1 (/ a b)))
(+.f64 a b)
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 a b)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 a b)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 a b)
(* a b)
(*.f64 a b)
(* a (+ a b))
(*.f64 a (+.f64 a b))
(* a (+ a b))
(*.f64 a (+.f64 a b))
(* a (+ a b))
(*.f64 a (+.f64 a b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ b a)))
(*.f64 a (+.f64 a b))
(* (pow a 2) (+ 1 (/ b a)))
(*.f64 a (+.f64 a b))
(* (pow a 2) (+ 1 (/ b a)))
(*.f64 a (+.f64 a b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ b a)))
(*.f64 a (+.f64 a b))
(* (pow a 2) (+ 1 (/ b a)))
(*.f64 a (+.f64 a b))
(* (pow a 2) (+ 1 (/ b a)))
(*.f64 a (+.f64 a b))
(pow a 2)
(*.f64 a a)
(+ (* a b) (pow a 2))
(*.f64 a (+.f64 a b))
(+ (* a b) (pow a 2))
(*.f64 a (+.f64 a b))
(+ (* a b) (pow a 2))
(*.f64 a (+.f64 a b))
(* a b)
(*.f64 a b)
(* b (+ a (/ (pow a 2) b)))
(*.f64 a (+.f64 a b))
(* b (+ a (/ (pow a 2) b)))
(*.f64 a (+.f64 a b))
(* b (+ a (/ (pow a 2) b)))
(*.f64 a (+.f64 a b))
(* a b)
(*.f64 a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(*.f64 a (+.f64 a b))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(*.f64 a (+.f64 a b))
(* -1 (* b (+ (* -1 a) (* -1 (/ (pow a 2) b)))))
(*.f64 a (+.f64 a b))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(+ (* a b) (pow b 2))
(*.f64 b (+.f64 a b))
(+ (* a b) (pow b 2))
(*.f64 b (+.f64 a b))
(+ (* a b) (pow b 2))
(*.f64 b (+.f64 a b))
(* a b)
(*.f64 a b)
(* a (+ b (/ (pow b 2) a)))
(*.f64 b (+.f64 a b))
(* a (+ b (/ (pow b 2) a)))
(*.f64 b (+.f64 a b))
(* a (+ b (/ (pow b 2) a)))
(*.f64 b (+.f64 a b))
(* a b)
(*.f64 a b)
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(*.f64 b (+.f64 a b))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(*.f64 b (+.f64 a b))
(* -1 (* a (+ (* -1 b) (* -1 (/ (pow b 2) a)))))
(*.f64 b (+.f64 a b))
(* a b)
(*.f64 a b)
(* b (+ a b))
(*.f64 b (+.f64 a b))
(* b (+ a b))
(*.f64 b (+.f64 a b))
(* b (+ a b))
(*.f64 b (+.f64 a b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (+.f64 a b))
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (+.f64 a b))
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (+.f64 a b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (+.f64 a b))
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (+.f64 a b))
(* (pow b 2) (+ 1 (/ a b)))
(*.f64 b (+.f64 a b))
(* 2 (* a b))
(.f64 a (.f64 #s(literal 2 binary64) b))
(* b (+ b (* 2 a)))
(.f64 b (-.f64 b (.f64 a #s(literal -2 binary64))))
(* b (+ b (* 2 a)))
(.f64 b (-.f64 b (.f64 a #s(literal -2 binary64))))
(* b (+ b (* 2 a)))
(.f64 b (-.f64 b (.f64 a #s(literal -2 binary64))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (-.f64 b (.f64 a #s(literal -2 binary64))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (-.f64 b (.f64 a #s(literal -2 binary64))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (-.f64 b (.f64 a #s(literal -2 binary64))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (-.f64 b (.f64 a #s(literal -2 binary64))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (-.f64 b (.f64 a #s(literal -2 binary64))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (-.f64 b (.f64 a #s(literal -2 binary64))))
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(.f64 b (-.f64 b (.f64 a #s(literal -2 binary64))))
(+ (* 2 (* a b)) (pow b 2))
(.f64 b (-.f64 b (.f64 a #s(literal -2 binary64))))
(+ (* 2 (* a b)) (pow b 2))
(.f64 b (-.f64 b (.f64 a #s(literal -2 binary64))))
(* 2 (* a b))
(.f64 a (.f64 #s(literal 2 binary64) b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(.f64 b (-.f64 b (.f64 a #s(literal -2 binary64))))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(.f64 b (-.f64 b (.f64 a #s(literal -2 binary64))))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(.f64 b (-.f64 b (.f64 a #s(literal -2 binary64))))
(* 2 (* a b))
(.f64 a (.f64 #s(literal 2 binary64) b))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(.f64 b (-.f64 b (.f64 a #s(literal -2 binary64))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(.f64 b (-.f64 b (.f64 a #s(literal -2 binary64))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(.f64 b (-.f64 b (.f64 a #s(literal -2 binary64))))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(+ b (* 2 a))
(-.f64 b (*.f64 a #s(literal -2 binary64)))
(+ b (* 2 a))
(-.f64 b (*.f64 a #s(literal -2 binary64)))
(+ b (* 2 a))
(-.f64 b (*.f64 a #s(literal -2 binary64)))
b
(* b (+ 1 (* 2 (/ a b))))
(-.f64 b (*.f64 a #s(literal -2 binary64)))
(* b (+ 1 (* 2 (/ a b))))
(-.f64 b (*.f64 a #s(literal -2 binary64)))
(* b (+ 1 (* 2 (/ a b))))
(-.f64 b (*.f64 a #s(literal -2 binary64)))
b
(* -1 (* b (- (* -2 (/ a b)) 1)))
(-.f64 b (*.f64 a #s(literal -2 binary64)))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(-.f64 b (*.f64 a #s(literal -2 binary64)))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(-.f64 b (*.f64 a #s(literal -2 binary64)))
b
(+ b (* 2 a))
(-.f64 b (*.f64 a #s(literal -2 binary64)))
(+ b (* 2 a))
(-.f64 b (*.f64 a #s(literal -2 binary64)))
(+ b (* 2 a))
(-.f64 b (*.f64 a #s(literal -2 binary64)))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* a (+ 2 (/ b a)))
(-.f64 b (*.f64 a #s(literal -2 binary64)))
(* a (+ 2 (/ b a)))
(-.f64 b (*.f64 a #s(literal -2 binary64)))
(* a (+ 2 (/ b a)))
(-.f64 b (*.f64 a #s(literal -2 binary64)))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(-.f64 b (*.f64 a #s(literal -2 binary64)))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(-.f64 b (*.f64 a #s(literal -2 binary64)))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(-.f64 b (*.f64 a #s(literal -2 binary64)))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(.f64 b (-.f64 b (.f64 a #s(literal -2 binary64))))
(+ (* a (+ a (* 2 b))) (pow b 2))
(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))
(+ (* a (+ a (* 2 b))) (pow b 2))
(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(.f64 a (+.f64 a (.f64 #s(literal 2 binary64) b)))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(.f64 a (+.f64 a (.f64 #s(literal 2 binary64) b)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))
(pow a 2)
(*.f64 a a)
(+ (* 2 (* a b)) (pow a 2))
(.f64 a (+.f64 a (.f64 #s(literal 2 binary64) b)))
(+ (* b (+ b (* 2 a))) (pow a 2))
(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))
(+ (* b (+ b (* 2 a))) (pow a 2))
(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (-.f64 b (.f64 a #s(literal -2 binary64))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(.f64 a (+.f64 a (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 b a)))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (-.f64 b (.f64 a #s(literal -2 binary64))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(.f64 b (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (-.f64 #s(literal -2 binary64) (/.f64 a b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(.f64 b (.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (-.f64 #s(literal -2 binary64) (/.f64 a b))) b))))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (* -1 (/ a (pow b 2))) (/ 1 b))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(+ (* a (- (/ a (pow b 3)) (/ 1 (pow b 2)))) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 (/.f64 a b) #s(literal -1 binary64))) b)) b)
(+ (* a (- (* a (+ (* -1 (/ a (pow b 4))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))) (/ 1 b))
(+.f64 (.f64 (.f64 a a) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (/.f64 a (pow.f64 b #s(literal 4 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1 (/ b a))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(/ (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 b a))) a)) a)
(/ (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 b a))) a) b) a)) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(* -1 (/ (- (/ b a) 1) a))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(* -1 (/ (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1) a))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 b a))) a)) a)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1) a))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 b a))) a) b) a)) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(+ (* b (- (/ b (pow a 3)) (/ 1 (pow a 2)))) (/ 1 a))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (+.f64 #s(literal -1 binary64) (/.f64 b a))) a)) a)
(+ (* b (- (* b (+ (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))
(+.f64 (.f64 (.f64 b b) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 b (pow.f64 a #s(literal 4 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* -1 (/ a b))) b)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(/ (- (+ 1 (/ (pow a 2) (pow b 2))) (/ a b)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 (/.f64 a b) #s(literal -1 binary64))) b)) b)
(/ (- (+ 1 (* -1 (/ (pow a 3) (pow b 3)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))) b)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 a (/.f64 (.f64 a (.f64 a (+.f64 (/.f64 a b) #s(literal -1 binary64)))) b)) b)) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(* -1 (/ (- (/ a b) 1) b))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 (/.f64 a b) #s(literal -1 binary64))) b)) b)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b)) a) b)) 1) b))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 a (/.f64 (.f64 a (.f64 a (+.f64 (/.f64 a b) #s(literal -1 binary64)))) b)) b)) b)

eval581.0ms (8.2%)

Memory: 6.5MiB live, 564.1MiB allocated
Compiler: Compiled 50 500 to 2 839 computations (94.4% saved)

prune163.0ms (2.3%)

Memory

-0.8MiB live, 527.0MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 934	1	1 935
Fresh	1	0	1
Picked	0	5	5
Done	0	1	1
Total	1 935	7	1 942

Accuracy

100.0%

Counts

1 942 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
▶	99.3%	(/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 b (*.f64 a #s(literal 2 binary64)))))
✓	100.0%	(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
✓	99.9%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	98.5%	(*.f64 (+.f64 a b) b)
✓	99.7%	(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
✓	98.4%	(*.f64 b b)

Compiler

Compiled 65 to 37 computations (43.1% saved)

simplify5.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 a #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 b (*.f64 a #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 b (*.f64 a #s(literal 2 binary64))))
✓	cost-diff	128	(/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 b (*.f64 a #s(literal 2 binary64)))))

Rules

34×	`-lowering-.f32`
34×	`-lowering-.f64`
22×	`/-lowering-/.f32`
22×	`/-lowering-/.f64`
18×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	14	26
2	24	26
3	42	26
4	55	26
5	55	26
0	55	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ b (/ 1 (+ b (* a 2))))
b
(/ 1 (+ b (* a 2)))
1
(+ b (* a 2))
(* a 2)
a
2

Outputs
(/ b (/ 1 (+ b (* a 2))))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
b
(/ 1 (+ b (* a 2)))
(/.f64 #s(literal 1 binary64) (+.f64 b (*.f64 a #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ b (* a 2))
(+.f64 b (*.f64 a #s(literal 2 binary64)))
(* a 2)
(*.f64 a #s(literal 2 binary64))
a
2
#s(literal 2 binary64)

localize24.0ms (0.3%)

Memory

2.2MiB live, 40.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 b (*.f64 a #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 a #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 b (*.f64 a #s(literal 2 binary64))))
✓	accuracy	99.6%	(/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 b (*.f64 a #s(literal 2 binary64)))))

Samples

15.0ms

256×

valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 3.0ms (46.7% of total)

ival-mult: 2.0ms (31.1% of total)

ival-add: 1.0ms (15.6% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#<alt (/ b (/ 1 (+ b (* a 2))))>
#<alt (/ 1 (+ b (* a 2)))>
#<alt (+ b (* a 2))>
#<alt (* a 2)>

Outputs
#<alt (* 2 (* a b))>
#<alt (* b (+ b (* 2 a)))>
#<alt (* b (+ b (* 2 a)))>
#<alt (* b (+ b (* 2 a)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ a b))))>
#<alt (pow b 2)>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (+ (* 2 (* a b)) (pow b 2))>
#<alt (* 2 (* a b))>
#<alt (* a (+ (* 2 b) (/ (pow b 2) a)))>
#<alt (* a (+ (* 2 b) (/ (pow b 2) a)))>
#<alt (* a (+ (* 2 b) (/ (pow b 2) a)))>
#<alt (* 2 (* a b))>
#<alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))>
#<alt (/ 1/2 a)>
#<alt (+ (* -1/4 (/ b (pow a 2))) (* 1/2 (/ 1 a)))>
#<alt (+ (* b (- (* 1/8 (/ b (pow a 3))) (* 1/4 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))>
#<alt (+ (* b (- (* b (+ (* -1/16 (/ b (pow a 4))) (* 1/8 (/ 1 (pow a 3))))) (* 1/4 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* -2 (/ a b))) b)>
#<alt (/ (- (+ 1 (* 4 (/ (pow a 2) (pow b 2)))) (* 2 (/ a b))) b)>
#<alt (/ (- (+ 1 (* -8 (/ (pow a 3) (pow b 3)))) (+ (* -4 (/ (pow a 2) (pow b 2))) (* 2 (/ a b)))) b)>
#<alt (/ 1 b)>
#<alt (* -1 (/ (- (* 2 (/ a b)) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow a 2) b)) (* 2 a)) b)) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow a 3) b)) (* 4 (pow a 2))) b)) (* 2 a)) b)) 1) b))>
#<alt (/ 1 b)>
#<alt (+ (* -2 (/ a (pow b 2))) (/ 1 b))>
#<alt (+ (* a (- (* 4 (/ a (pow b 3))) (* 2 (/ 1 (pow b 2))))) (/ 1 b))>
#<alt (+ (* a (- (* a (+ (* -8 (/ a (pow b 4))) (* 4 (/ 1 (pow b 3))))) (* 2 (/ 1 (pow b 2))))) (/ 1 b))>
#<alt (/ 1/2 a)>
#<alt (/ (+ 1/2 (* -1/4 (/ b a))) a)>
#<alt (/ (- (+ 1/2 (* 1/8 (/ (pow b 2) (pow a 2)))) (* 1/4 (/ b a))) a)>
#<alt (/ (- (+ 1/2 (* -1/16 (/ (pow b 3) (pow a 3)))) (+ (* -1/8 (/ (pow b 2) (pow a 2))) (* 1/4 (/ b a)))) a)>
#<alt (/ 1/2 a)>
#<alt (* -1 (/ (- (* 1/4 (/ b a)) 1/2) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow b 2) a)) (* 1/4 b)) a)) 1/2) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow b 3) a)) (* 1/8 (pow b 2))) a)) (* 1/4 b)) a)) 1/2) a))>
#<alt (* 2 a)>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ a b))))>
#<alt (* b (+ 1 (* 2 (/ a b))))>
#<alt (* b (+ 1 (* 2 (/ a b))))>
#<alt b>
#<alt (* -1 (* b (- (* -2 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -2 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -2 (/ a b)) 1)))>
#<alt b>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt (+ b (* 2 a))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (/ b a)))>
#<alt (* a (+ 2 (/ b a)))>
#<alt (* a (+ 2 (/ b a)))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -1 (/ b a)) 2)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 2)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 2)))>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(/ 1 (+ b (* a 2)))
0.0ms	b	@	0	(/ 1 (+ b (* a 2)))
0.0ms	a	@	inf	(/ 1 (+ b (* a 2)))
0.0ms	b	@	inf	(/ 1 (+ b (* a 2)))
0.0ms	a	@	-inf	(/ 1 (+ b (* a 2)))

rewrite412.0ms (5.8%)

Memory

6.9MiB live, 524.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 050×	`-lowering-.f32`
5 050×	`-lowering-.f64`
4 360×	`accelerator-lowering-fma.f32`
4 360×	`accelerator-lowering-fma.f64`
2 386×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	42	22
2	279	22
3	2751	22
0	8260	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 512

Calls

Call 1

Inputs
(/ b (/ 1 (+ b (* a 2))))
(/ 1 (+ b (* a 2)))
(+ b (* a 2))
(* a 2)

Outputs
(+.f64 (.f64 b b) (.f64 b (*.f64 a #s(literal 2 binary64))))
(+.f64 (.f64 b b) (.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a #s(literal -2 binary64))))
(+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) b)))
(+.f64 (.f64 b b) (.f64 #s(literal 1 binary64) (.f64 b (.f64 a #s(literal 2 binary64)))))
(+.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (*.f64 b b))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (.f64 a #s(literal -2 binary64))) (*.f64 b b))
(+.f64 (.f64 (.f64 a #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) b)) (*.f64 b b))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 b (.f64 a #s(literal 2 binary64)))) (.f64 b b))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (.f64 a #s(literal 2 binary64)))) b)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 b (-.f64 (.f64 a #s(literal -2 binary64)) b)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b (.f64 a #s(literal 2 binary64))))) (.f64 b (-.f64 (*.f64 a #s(literal -2 binary64)) b)))
(fma.f64 b b (.f64 b (.f64 a #s(literal 2 binary64))))
(fma.f64 b b (.f64 (-.f64 #s(literal 0 binary64) b) (.f64 a #s(literal -2 binary64))))
(fma.f64 b b (.f64 (.f64 a #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 b b (.f64 #s(literal 1 binary64) (.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 b (.f64 a #s(literal 2 binary64)) (.f64 b b))
(fma.f64 b (.f64 #s(literal 1 binary64) (.f64 a #s(literal 2 binary64))) (*.f64 b b))
(fma.f64 #s(literal 1 binary64) (.f64 b b) (.f64 b (*.f64 a #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 b b) (.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 b b) (.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 #s(literal 1 binary64) (.f64 b b) (.f64 #s(literal 1 binary64) (.f64 b (.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 b (.f64 a #s(literal 2 binary64))) (*.f64 b b))
(fma.f64 a (.f64 b #s(literal 2 binary64)) (.f64 b b))
(fma.f64 #s(literal 2 binary64) (.f64 b a) (.f64 b b))
(fma.f64 (.f64 a #s(literal 2 binary64)) b (.f64 b b))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b) (.f64 b (.f64 a #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b) (.f64 (-.f64 #s(literal 0 binary64) b) (.f64 a #s(literal -2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b) (.f64 (.f64 a #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) b) (.f64 #s(literal 1 binary64) (.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (.f64 a #s(literal -2 binary64)) (.f64 b b))
(fma.f64 (.f64 b b) #s(literal 1 binary64) (.f64 b (*.f64 a #s(literal 2 binary64))))
(fma.f64 (.f64 b b) #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (.f64 b b) #s(literal 1 binary64) (.f64 (*.f64 a #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) b)))
(fma.f64 (.f64 b b) #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 b (.f64 a #s(literal 2 binary64)))))
(fma.f64 (.f64 b (.f64 a #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 b b))
(fma.f64 (.f64 a #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) b) (.f64 b b))
(fma.f64 (.f64 b a) #s(literal 2 binary64) (.f64 b b))
(fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 b b))
(neg.f64 (.f64 b (-.f64 (.f64 a #s(literal -2 binary64)) b)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (*.f64 a #s(literal 2 binary64)))) b)))
(/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (*.f64 a #s(literal 2 binary64)))) b))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b b) (.f64 a (.f64 #s(literal 2 binary64) (-.f64 (.f64 a #s(literal 2 binary64)) b)))) (.f64 b (+.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (.f64 a #s(literal 2 binary64))) (.f64 b (+.f64 (.f64 b b) (.f64 (*.f64 a a) #s(literal -4 binary64))))))
(/.f64 (+.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))))
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(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b b) (.f64 a (.f64 #s(literal 2 binary64) (-.f64 (.f64 a #s(literal 2 binary64)) b)))))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal -4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 b (*.f64 a #s(literal 2 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b (.f64 b b)) #s(literal -1 binary64)) (.f64 (.f64 a (.f64 a a)) #s(literal -8 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b b) (.f64 a (.f64 #s(literal 2 binary64) (-.f64 (.f64 a #s(literal 2 binary64)) b)))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal -4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 b (*.f64 a #s(literal 2 binary64))))))
(.f64 (pow.f64 (+.f64 (/.f64 (.f64 b (.f64 b b)) #s(literal -1 binary64)) (.f64 (.f64 a (.f64 a a)) #s(literal -8 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b b) (.f64 a (.f64 #s(literal 2 binary64) (-.f64 (.f64 a #s(literal 2 binary64)) b)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal -4 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 b (*.f64 a #s(literal 2 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (.f64 b b)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a #s(literal 2 binary64)) b)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 b (.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 b (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 b b) (.f64 a (.f64 #s(literal 2 binary64) (-.f64 (.f64 a #s(literal 2 binary64)) b)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 b (.f64 a #s(literal 2 binary64))) (+.f64 (.f64 b b) (.f64 a (.f64 #s(literal 2 binary64) (-.f64 (.f64 a #s(literal 2 binary64)) b))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal -4 binary64))) (+.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal -4 binary64)))) #s(literal 1 binary64)) (+.f64 b (.f64 a #s(literal 2 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)) (.f64 (-.f64 (.f64 a #s(literal 2 binary64)) b) (.f64 (-.f64 (.f64 a #s(literal 2 binary64)) b) (-.f64 (.f64 a #s(literal 2 binary64)) b)))))) #s(literal 1 binary64)) (pow.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 #s(literal 2 binary64) (-.f64 (.f64 a #s(literal 2 binary64)) b))) (-.f64 (.f64 a (.f64 #s(literal 2 binary64) (-.f64 (.f64 a #s(literal 2 binary64)) b))) (*.f64 b b)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64))) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (.f64 (-.f64 (.f64 a #s(literal 2 binary64)) b) (-.f64 (.f64 a #s(literal 2 binary64)) b))))) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 b b) (.f64 a (.f64 #s(literal 2 binary64) (-.f64 (*.f64 a #s(literal 2 binary64)) b)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal -4 binary64))) (+.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a a)) #s(literal -8 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (*.f64 a #s(literal 2 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 b (.f64 a #s(literal 2 binary64))) (+.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal -64 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 4 binary64))))))))
(.f64 (pow.f64 (/.f64 (-.f64 b (.f64 a #s(literal 2 binary64))) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 #s(literal 16 binary64) (.f64 (.f64 a a) (.f64 a a))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (.f64 a #s(literal 4 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 b b) (.f64 a (.f64 #s(literal 2 binary64) (-.f64 (.f64 a #s(literal 2 binary64)) b)))) (+.f64 (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) #s(literal 512 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)) (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64)) (.f64 b (.f64 b b)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 b b) (.f64 a (.f64 #s(literal 2 binary64) (-.f64 (.f64 a #s(literal 2 binary64)) b)))) (+.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal -64 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (*.f64 a a)) #s(literal -8 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 a #s(literal 4 binary64))) (.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a #s(literal 2 binary64)) b)))
(.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (-.f64 (.f64 a #s(literal -2 binary64)) b))))
(.f64 (exp.f64 (log.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a a)) #s(literal 8 binary64))))) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (.f64 #s(literal 2 binary64) (-.f64 (.f64 a #s(literal 2 binary64)) b))))))))
(.f64 (exp.f64 (log.f64 (+.f64 (.f64 b b) (.f64 (.f64 a a) #s(literal -4 binary64))))) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (*.f64 a #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (*.f64 a #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 a #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) a)
(*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 1 binary64)))
(*.f64 (pow.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 a)))

simplify383.0ms (5.4%)

Memory

-11.6MiB live, 659.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 562×	`accelerator-lowering-fma.f32`
13 562×	`accelerator-lowering-fma.f64`
4 498×	`-lowering-.f32`
4 498×	`-lowering-.f64`
2 046×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	650
1	510	644
2	1303	622
3	3916	596
0	8170	524

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(* 2 (* a b))
(* b (+ b (* 2 a)))
(* b (+ b (* 2 a)))
(* b (+ b (* 2 a)))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* 2 (* a b)) (pow b 2))
(+ (* 2 (* a b)) (pow b 2))
(* 2 (* a b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* 2 (* a b))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(/ 1/2 a)
(+ (* -1/4 (/ b (pow a 2))) (* 1/2 (/ 1 a)))
(+ (* b (- (* 1/8 (/ b (pow a 3))) (* 1/4 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(+ (* b (- (* b (+ (* -1/16 (/ b (pow a 4))) (* 1/8 (/ 1 (pow a 3))))) (* 1/4 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(/ 1 b)
(/ (+ 1 (* -2 (/ a b))) b)
(/ (- (+ 1 (* 4 (/ (pow a 2) (pow b 2)))) (* 2 (/ a b))) b)
(/ (- (+ 1 (* -8 (/ (pow a 3) (pow b 3)))) (+ (* -4 (/ (pow a 2) (pow b 2))) (* 2 (/ a b)))) b)
(/ 1 b)
(* -1 (/ (- (* 2 (/ a b)) 1) b))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow a 2) b)) (* 2 a)) b)) 1) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow a 3) b)) (* 4 (pow a 2))) b)) (* 2 a)) b)) 1) b))
(/ 1 b)
(+ (* -2 (/ a (pow b 2))) (/ 1 b))
(+ (* a (- (* 4 (/ a (pow b 3))) (* 2 (/ 1 (pow b 2))))) (/ 1 b))
(+ (* a (- (* a (+ (* -8 (/ a (pow b 4))) (* 4 (/ 1 (pow b 3))))) (* 2 (/ 1 (pow b 2))))) (/ 1 b))
(/ 1/2 a)
(/ (+ 1/2 (* -1/4 (/ b a))) a)
(/ (- (+ 1/2 (* 1/8 (/ (pow b 2) (pow a 2)))) (* 1/4 (/ b a))) a)
(/ (- (+ 1/2 (* -1/16 (/ (pow b 3) (pow a 3)))) (+ (* -1/8 (/ (pow b 2) (pow a 2))) (* 1/4 (/ b a)))) a)
(/ 1/2 a)
(* -1 (/ (- (* 1/4 (/ b a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow b 2) a)) (* 1/4 b)) a)) 1/2) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow b 3) a)) (* 1/8 (pow b 2))) a)) (* 1/4 b)) a)) 1/2) a))
(* 2 a)
(+ b (* 2 a))
(+ b (* 2 a))
(+ b (* 2 a))
b
(* b (+ 1 (* 2 (/ a b))))
(* b (+ 1 (* 2 (/ a b))))
(* b (+ 1 (* 2 (/ a b))))
b
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* -1 (* b (- (* -2 (/ a b)) 1)))
b
(+ b (* 2 a))
(+ b (* 2 a))
(+ b (* 2 a))
(* 2 a)
(* a (+ 2 (/ b a)))
(* a (+ 2 (/ b a)))
(* a (+ 2 (/ b a)))
(* 2 a)
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)

Outputs
(* 2 (* a b))
(.f64 #s(literal 2 binary64) (.f64 a b))
(* b (+ b (* 2 a)))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(* b (+ b (* 2 a)))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(* b (+ b (* 2 a)))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(+ (* 2 (* a b)) (pow b 2))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(+ (* 2 (* a b)) (pow b 2))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(* 2 (* a b))
(.f64 #s(literal 2 binary64) (.f64 a b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(* 2 (* a b))
(.f64 #s(literal 2 binary64) (.f64 a b))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(+ (* -1/4 (/ b (pow a 2))) (* 1/2 (/ 1 a)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 b a))) a)
(+ (* b (- (* 1/8 (/ b (pow a 3))) (* 1/4 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (/.f64 #s(literal 1/8 binary64) a)))) a)) a)
(+ (* b (- (* b (+ (* -1/16 (/ b (pow a 4))) (* 1/8 (/ 1 (pow a 3))))) (* 1/4 (/ 1 (pow a 2))))) (* 1/2 (/ 1 a)))
(+.f64 (.f64 b (/.f64 (.f64 b (.f64 b #s(literal -1/16 binary64))) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (+.f64 #s(literal -1/4 binary64) (*.f64 b (/.f64 #s(literal 1/8 binary64) a)))) a)) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* -2 (/ a b))) b)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 a b))) b)
(/ (- (+ 1 (* 4 (/ (pow a 2) (pow b 2)))) (* 2 (/ a b))) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (+.f64 (.f64 (/.f64 a b) #s(literal 4 binary64)) #s(literal -2 binary64))) b)) b)
(/ (- (+ 1 (* -8 (/ (pow a 3) (pow b 3)))) (+ (* -4 (/ (pow a 2) (pow b 2))) (* 2 (/ a b)))) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a #s(literal -2 binary64)) (.f64 (/.f64 (.f64 a a) b) (+.f64 (/.f64 (.f64 a #s(literal 8 binary64)) b) #s(literal -4 binary64)))) b)) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(* -1 (/ (- (* 2 (/ a b)) 1) b))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 a b))) b)
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow a 2) b)) (* 2 a)) b)) 1) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (+.f64 (.f64 (/.f64 a b) #s(literal 4 binary64)) #s(literal -2 binary64))) b)) b)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow a 3) b)) (* 4 (pow a 2))) b)) (* 2 a)) b)) 1) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a #s(literal -2 binary64)) (.f64 (/.f64 (.f64 a a) b) (+.f64 (/.f64 (.f64 a #s(literal 8 binary64)) b) #s(literal -4 binary64)))) b)) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (* -2 (/ a (pow b 2))) (/ 1 b))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 a b))) b)
(+ (* a (- (* 4 (/ a (pow b 3))) (* 2 (/ 1 (pow b 2))))) (/ 1 b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (+.f64 (.f64 (/.f64 a b) #s(literal 4 binary64)) #s(literal -2 binary64))) b)) b)
(+ (* a (- (* a (+ (* -8 (/ a (pow b 4))) (* 4 (/ 1 (pow b 3))))) (* 2 (/ 1 (pow b 2))))) (/ 1 b))
(+.f64 (.f64 a (/.f64 (.f64 a (.f64 a #s(literal -8 binary64))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (+.f64 (*.f64 (/.f64 a b) #s(literal 4 binary64)) #s(literal -2 binary64))) b)) b))
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ (+ 1/2 (* -1/4 (/ b a))) a)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 b a))) a)
(/ (- (+ 1/2 (* 1/8 (/ (pow b 2) (pow a 2)))) (* 1/4 (/ b a))) a)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (/.f64 #s(literal 1/8 binary64) a)))) a)) a)
(/ (- (+ 1/2 (* -1/16 (/ (pow b 3) (pow a 3)))) (+ (* -1/8 (/ (pow b 2) (pow a 2))) (* 1/4 (/ b a)))) a)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (.f64 (/.f64 b a) #s(literal 1/16 binary64)))) a) (.f64 b #s(literal -1/4 binary64))) a)) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(* -1 (/ (- (* 1/4 (/ b a)) 1/2) a))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 b a))) a)
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow b 2) a)) (* 1/4 b)) a)) 1/2) a))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (/.f64 #s(literal 1/8 binary64) a)))) a)) a)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow b 3) a)) (* 1/8 (pow b 2))) a)) (* 1/4 b)) a)) 1/2) a))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 b b) (-.f64 #s(literal 1/8 binary64) (.f64 (/.f64 b a) #s(literal 1/16 binary64)))) a) (.f64 b #s(literal -1/4 binary64))) a)) a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(+ b (* 2 a))
(+.f64 b (*.f64 #s(literal 2 binary64) a))
(+ b (* 2 a))
(+.f64 b (*.f64 #s(literal 2 binary64) a))
(+ b (* 2 a))
(+.f64 b (*.f64 #s(literal 2 binary64) a))
b
(* b (+ 1 (* 2 (/ a b))))
(+.f64 b (*.f64 #s(literal 2 binary64) a))
(* b (+ 1 (* 2 (/ a b))))
(+.f64 b (*.f64 #s(literal 2 binary64) a))
(* b (+ 1 (* 2 (/ a b))))
(+.f64 b (*.f64 #s(literal 2 binary64) a))
b
(* -1 (* b (- (* -2 (/ a b)) 1)))
(+.f64 b (*.f64 #s(literal 2 binary64) a))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(+.f64 b (*.f64 #s(literal 2 binary64) a))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(+.f64 b (*.f64 #s(literal 2 binary64) a))
b
(+ b (* 2 a))
(+.f64 b (*.f64 #s(literal 2 binary64) a))
(+ b (* 2 a))
(+.f64 b (*.f64 #s(literal 2 binary64) a))
(+ b (* 2 a))
(+.f64 b (*.f64 #s(literal 2 binary64) a))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (/ b a)))
(+.f64 b (*.f64 #s(literal 2 binary64) a))
(* a (+ 2 (/ b a)))
(+.f64 b (*.f64 #s(literal 2 binary64) a))
(* a (+ 2 (/ b a)))
(+.f64 b (*.f64 #s(literal 2 binary64) a))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* -1 (* a (- (* -1 (/ b a)) 2)))
(+.f64 b (*.f64 #s(literal 2 binary64) a))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(+.f64 b (*.f64 #s(literal 2 binary64) a))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(+.f64 b (*.f64 #s(literal 2 binary64) a))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)

eval72.0ms (1%)

Memory: 6.7MiB live, 160.4MiB allocated
Compiler: Compiled 13 623 to 1 692 computations (87.6% saved)

prune120.0ms (1.7%)

Memory

30.6MiB live, 186.8MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	596	0	596
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	596	7	603

Accuracy

100.0%

Counts

603 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
✓	99.3%	(/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 b (*.f64 a #s(literal 2 binary64)))))
✓	100.0%	(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
✓	99.9%	(*.f64 (+.f64 a b) (+.f64 a b))
✓	98.5%	(*.f64 (+.f64 a b) b)
✓	99.7%	(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
✓	98.4%	(*.f64 b b)

Compiler

Compiled 133 to 62 computations (53.4% saved)

regimes14.0ms (0.2%)

Memory

-0.6MiB live, 37.6MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 b b)
(*.f64 (+.f64 a b) b)
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(*.f64 (+.f64 a b) (+.f64 a b))
(/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(/.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 a b)))
(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
(/.f64 (.f64 (-.f64 (.f64 b b) (*.f64 a a)) (+.f64 a b)) (-.f64 b a))

Outputs
(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))

Calls

4 calls:

4.0ms	(+.f64 a b)
3.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
3.0ms	b
3.0ms	a

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
100.0%	1	`(+.f64 a b)`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes11.0ms (0.2%)

Memory

-12.4MiB live, 26.2MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 b b)
(*.f64 (+.f64 a b) b)
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(*.f64 (+.f64 a b) (+.f64 a b))
(/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 b (*.f64 a #s(literal 2 binary64)))))
(/.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (+.f64 a b)))

Outputs
(*.f64 (+.f64 a b) (+.f64 a b))

Calls

4 calls:

4.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
3.0ms	(+.f64 a b)
3.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`b`
99.9%	1	`(*.f64 (+.f64 a b) (+.f64 a b))`
99.9%	1	`(+.f64 a b)`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes4.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 b b)
(*.f64 (+.f64 a b) b)
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))

Outputs
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))

Calls

2 calls:

2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
99.7%	1	`a`
99.7%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 b b)
(*.f64 (+.f64 a b) b)

Outputs
(*.f64 (+.f64 a b) b)

Calls

2 calls:

1.0ms	b
1.0ms	a

Results

Accuracy	Segments	Branch
98.5%	1	`a`
98.5%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

-43.0MiB live, 6.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 b b)

Outputs
(*.f64 b b)

Calls

2 calls:

9.0ms	a
1.0ms	b

Results

Accuracy	Segments	Branch
98.4%	1	`b`
98.4%	1	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify7.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
6×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	19	33

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
(*.f64 (+.f64 a b) (+.f64 a b))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(*.f64 (+.f64 a b) b)
(*.f64 b b)

Outputs
(+.f64 (.f64 b (+.f64 a b)) (.f64 a (+.f64 a b)))
(+.f64 (.f64 b (+.f64 b a)) (.f64 a (+.f64 b a)))
(*.f64 (+.f64 a b) (+.f64 a b))
(*.f64 (+.f64 b a) (+.f64 b a))
(.f64 b (+.f64 b (.f64 #s(literal 2 binary64) a)))
(.f64 b (+.f64 b (.f64 a #s(literal 2 binary64))))
(*.f64 (+.f64 a b) b)
(*.f64 b (+.f64 b a))
(*.f64 b b)

soundness1.1s (16.1%)

Memory

27.6MiB live, 1 189.9MiB allocated

Rules

7 026×	`accelerator-lowering-fma.f32`
7 026×	`accelerator-lowering-fma.f64`
5 646×	`-lowering-.f32`
5 646×	`-lowering-.f64`
4 194×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	26	8
2	218	8
3	2800	8
0	9133	8
0	65	264
1	193	264
2	490	264
3	1595	252
4	3905	252
5	6954	252
0	8103	222

Stop Event

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

Compiler

Compiled 69 to 31 computations (55.1% saved)

preprocess126.0ms (1.8%)

Memory: -23.4MiB live, 163.5MiB allocated
Remove: (sort a b)
Compiler: Compiled 252 to 108 computations (57.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze18.0ms (0.3%)

sample887.0ms (12.5%)

preprocess81.0ms (1.1%)

explain46.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize20.0ms (0.3%)

series2.0ms (0%)

rewrite851.0ms (12%)

simplify305.0ms (4.3%)

eval183.0ms (2.6%)

prune248.0ms (3.5%)

simplify11.0ms (0.2%)

localize76.0ms (1.1%)

series27.0ms (0.4%)

rewrite719.0ms (10.2%)

simplify516.0ms (7.3%)

eval581.0ms (8.2%)

prune163.0ms (2.3%)

simplify5.0ms (0.1%)

localize24.0ms (0.3%)

series3.0ms (0%)

rewrite412.0ms (5.8%)

simplify383.0ms (5.4%)

eval72.0ms (1%)

prune120.0ms (1.7%)

regimes14.0ms (0.2%)

regimes11.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes10.0ms (0.1%)

simplify7.0ms (0.1%)

soundness1.1s (16.1%)

preprocess126.0ms (1.8%)

end0.0ms (0%)

Profiling