Metrics for bug366, discussion (missed optimization)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze30.0ms (0.5%)

Memory

-0.9MiB live, 38.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
30.8%	25%	56.2%	0.1%	0%	18.7%	0%	5
32%	25%	53.1%	0.1%	0%	21.9%	0%	6
55.8%	37.5%	29.7%	0.1%	0%	32.8%	0%	7
57.8%	37.5%	27.3%	0.1%	0%	35.1%	0%	8
74.2%	43.7%	15.2%	0.1%	0%	41%	0%	9
75.9%	43.7%	13.9%	0.1%	0%	42.3%	0%	10
85.9%	46.8%	7.7%	0.1%	0%	45.4%	0%	11
87%	46.8%	7%	0.1%	0%	46.1%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample831.0ms (12.6%)

Memory

0.9MiB live, 783.3MiB allocated

Samples

552.0ms	8 256×	0	valid
48.0ms	626×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 398.0ms

ival-mult: 225.0ms (56.5% of total)

ival-sqrt: 84.0ms (21.1% of total)

ival-sub: 79.0ms (19.8% of total)

ival-true: 7.0ms (1.8% of total)

ival-assert: 4.0ms (1% of total)

Bogosity

explain75.0ms (1.1%)

Memory

-18.0MiB live, 104.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
131	-	-	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
21	-	-	`(-.f64 (.f64 a a) (.f64 b b))`
0	-	-	`(*.f64 a a)`
0	-	-	`a`
0	-	-	`b`
0	-	-	`(*.f64 b b)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`	oflow-rescue	121	0
↳	`(*.f64 b b)`	overflow	21
↳	`(-.f64 (.f64 a a) (.f64 b b))`	overflow	121
↳	`(*.f64 a a)`	overflow	121
`-.f64`	`(-.f64 (.f64 a a) (.f64 b b))`	nan-rescue	21	0
↳	`(*.f64 a a)`	overflow	121
↳	`(*.f64 b b)`	overflow	21
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`	uflow-rescue	10	0
↳	`(*.f64 b b)`	underflow	94
↳	`(-.f64 (.f64 a a) (.f64 b b))`	underflow	10
↳	`(*.f64 a a)`	underflow	10

Confusion

	Predicted +	Predicted -
+	131	0
-	0	125

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	0	0
-	0	0	125

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	125
1	110
2	21

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 81 to 28 computations (65.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 8.0ms (52.7% of total)

ival-sqrt: 4.0ms (26.4% of total)

ival-sub: 2.0ms (13.2% of total)

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

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

preprocess442.0ms (6.7%)

Memory

43.4MiB live, 271.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	42
1	54	42
2	128	42
3	331	42
4	827	42
5	1200	42
6	1876	42
7	2756	42
8	3566	42
9	4032	42
10	4138	42
11	4184	42
12	4202	42
13	6464	42
14	7171	42
15	7815	42
0	6	8
0	10	8
1	18	8
2	29	8
3	55	8
4	115	8
5	318	8
6	587	8
7	1257	8
8	2531	8
9	4197	8
10	5056	8
11	5425	8
12	5655	8
13	5769	8
14	5769	8
15	6729	8
16	6889	8
17	7209	8
18	7209	8
19	7609	8
20	7769	8
21	7849	8
22	7849	8
23	7849	8
0	10335	8

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

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

Symmetry

(abs b)

(abs a)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.7%	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify342.0ms (5.2%)

Memory

-0.5MiB live, 193.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 b b)
cost-diff	0	(*.f64 a a)
cost-diff	0	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
cost-diff	128	(-.f64 (.f64 a a) (.f64 b b))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	18	23
2	29	23
3	55	23
4	115	23
5	318	23
6	587	23
7	1257	23
8	2531	23
9	4197	23
10	5056	23
11	5425	23
12	5655	23
13	5769	23
14	5769	23
15	6729	23
16	6889	23
17	7209	23
18	7209	23
19	7609	23
20	7769	23
21	7849	23
22	7849	23
23	7849	23
0	10335	23

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b

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

localize94.0ms (1.4%)

Memory

-40.7MiB live, 57.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 b b)
accuracy	0	(*.f64 a a)
accuracy	4.187500000000001	(-.f64 (.f64 a a) (.f64 b b))
accuracy	30.434655061742365	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Samples

57.0ms

256×

valid

Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions

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

ival-sub: 21.0ms (77.8% of total)

ival-mult: 3.0ms (11.1% of total)

ival-sqrt: 2.0ms (7.4% of total)

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

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

series6.0ms (0.1%)

Memory

5.7MiB live, 5.6MiB allocated

Counts

4 → 29

Calls

Call 1

Inputs
(-.f64 (.f64 a a) (.f64 b b))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(*.f64 a a)
(*.f64 b b)

Outputs
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(* b (sqrt -1))
(+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1)))))))
(+ (* b (sqrt -1)) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow b 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* b (sqrt -1)))))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
a
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6)))))))
(* -1 a)
(* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))
(* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))))
(* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6))))))))
(+ (* -1 (pow b 2)) (pow a 2))
(+ a (* -1/2 (/ (pow b 2) a)))
(+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))
(+ a (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (pow a 5))) (* 1/8 (/ 1 (pow a 3))))) (* 1/2 (/ 1 a)))))
(pow b 2)
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))
(* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))
(* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))
(* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
(* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	((- (* a a) (* b b)) (sqrt (- (* a a) (* b b))) (* a a) (* b b))
1.0ms	b	@	inf	((- (* a a) (* b b)) (sqrt (- (* a a) (* b b))) (* a a) (* b b))
1.0ms	a	@	inf	((- (* a a) (* b b)) (sqrt (- (* a a) (* b b))) (* a a) (* b b))
1.0ms	a	@	-inf	((- (* a a) (* b b)) (sqrt (- (* a a) (* b b))) (* a a) (* b b))
1.0ms	b	@	0	((- (* a a) (* b b)) (sqrt (- (* a a) (* b b))) (* a a) (* b b))

simplify213.0ms (3.2%)

Memory

27.4MiB live, 143.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	537
1	332	537
2	1136	524
3	4554	506
0	8127	471

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 28

Calls

Call 1

Inputs
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(* b (sqrt -1))
(+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1)))))))
(+ (* b (sqrt -1)) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow b 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* b (sqrt -1)))))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
a
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6)))))))
(* -1 a)
(* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))
(* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))))
(* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6))))))))
(+ (* -1 (pow b 2)) (pow a 2))
(+ a (* -1/2 (/ (pow b 2) a)))
(+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))
(+ a (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (pow a 5))) (* 1/8 (/ 1 (pow a 3))))) (* 1/2 (/ 1 a)))))
(pow b 2)
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))
(* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))
(* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))
(* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
(* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))

Outputs
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(- (pow a 2) (pow b 2))
(*.f64 (-.f64 a b) (+.f64 b a))
(* b (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b)
(+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1)))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) a) (/.f64 a b) (.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1)))))))
(fma.f64 (.f64 a (/.f64 a (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (neg.f64 (pow.f64 b #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(+ (* b (sqrt -1)) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow b 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* b (sqrt -1)))))))
(fma.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) a) (/.f64 a (pow.f64 b #s(literal 5 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) a) (/.f64 a b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(*.f64 (-.f64 a b) (+.f64 b a))
a
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(fma.f64 (.f64 (/.f64 (.f64 b b) a) #s(literal -1/2 binary64)) #s(literal 1 binary64) a)
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))
(fma.f64 (.f64 #s(literal -1/8 binary64) a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (.f64 (/.f64 (*.f64 b b) a) #s(literal -1/2 binary64)) #s(literal 1 binary64) a))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6)))))))
(.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 b a) #s(literal 1 binary64)))) a)
(* -1 a)
(neg.f64 a)
(* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))
(fma.f64 (.f64 (/.f64 (.f64 b b) a) #s(literal -1/2 binary64)) #s(literal -1 binary64) (neg.f64 a))
(* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))))
(.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (.f64 b b) a) #s(literal -1 binary64))) a)
(* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6))))))))
(.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (.f64 b b) a) #s(literal -1 binary64)))) a)
(+ (* -1 (pow b 2)) (pow a 2))
(*.f64 (-.f64 a b) (+.f64 b a))
(+ a (* -1/2 (/ (pow b 2) a)))
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a)
(+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 3 binary64))) b) b (/.f64 #s(literal -1/2 binary64) a)) (.f64 b b) a)
(+ a (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (pow a 5))) (* 1/8 (/ 1 (pow a 3))))) (* 1/2 (/ 1 a)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) b) (/.f64 b (pow.f64 a #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 b b) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 b b) a)
(pow b 2)
(*.f64 b b)
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal -1 binary64)) (.f64 b b))
(* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) a) (/.f64 a b) (.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) a) (/.f64 a b) (.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) b))
(* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) a) (/.f64 a b) (.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) b))
(* -1 (* b (sqrt -1)))
(*.f64 (neg.f64 b) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))
(neg.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) a) (/.f64 a b) (.f64 (sqrt.f64 #s(literal -1 binary64)) b)))
(* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
(neg.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) a) (/.f64 a b) (.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) b)))
(* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
(neg.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) a) (/.f64 a b) (.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) b)))

rewrite702.0ms (10.7%)

Memory

-20.9MiB live, 314.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	36	21
2	239	21
3	2135	21
0	9378	21

Stop Event

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

Counts

4 → 326

Calls

Call 1

Inputs
(-.f64 (.f64 a a) (.f64 b b))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(*.f64 a a)
(*.f64 b b)

Outputs
(.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 b b (.f64 a a))))))
(.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))))
(*.f64 (exp.f64 (log.f64 (+.f64 b a))) (exp.f64 (log.f64 (-.f64 a b))))
(*.f64 (exp.f64 (log.f64 (-.f64 a b))) (exp.f64 (log.f64 (+.f64 b a))))
(.f64 (pow.f64 (/.f64 (fma.f64 b b (.f64 a a)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 b #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 b b (.f64 a a)) (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 4 binary64)) (pow.f64 b #s(literal 8 binary64))) (pow.f64 a #s(literal 8 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 18 binary64)) (pow.f64 b #s(literal 18 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 a #s(literal 12 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64)))) (fma.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (.f64 (-.f64 a b) (+.f64 b a)))
(.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))
(.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))
(.f64 (pow.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 a b) (+.f64 b a)))
(.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (neg.f64 (fma.f64 b b (.f64 a a))) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 a b) (+.f64 b a))
(*.f64 (+.f64 b a) (-.f64 a b))
(.f64 (fma.f64 b b (.f64 a a)) (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (fma.f64 b b (.f64 a a))))
(.f64 (fma.f64 b b (.f64 a a)) (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal -1 binary64)))
(.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))) (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))) (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 b (-.f64 a b)) #s(literal 3 binary64)) (pow.f64 (.f64 a (-.f64 a b)) #s(literal 3 binary64))) (fma.f64 (.f64 b (-.f64 a b)) (.f64 b (-.f64 a b)) (-.f64 (.f64 (.f64 a (-.f64 a b)) (.f64 a (-.f64 a b))) (.f64 (.f64 b (-.f64 a b)) (.f64 a (-.f64 a b))))))
(/.f64 (+.f64 (pow.f64 (.f64 a (-.f64 a b)) #s(literal 3 binary64)) (pow.f64 (.f64 b (-.f64 a b)) #s(literal 3 binary64))) (fma.f64 (.f64 a (-.f64 a b)) (.f64 a (-.f64 a b)) (-.f64 (.f64 (.f64 b (-.f64 a b)) (.f64 b (-.f64 a b))) (.f64 (.f64 a (-.f64 a b)) (.f64 b (-.f64 a b))))))
(/.f64 (+.f64 (pow.f64 (.f64 a (+.f64 b a)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 b) (+.f64 b a)) #s(literal 3 binary64))) (fma.f64 (.f64 a (+.f64 b a)) (.f64 a (+.f64 b a)) (-.f64 (.f64 (.f64 (neg.f64 b) (+.f64 b a)) (.f64 (neg.f64 b) (+.f64 b a))) (.f64 (.f64 a (+.f64 b a)) (.f64 (neg.f64 b) (+.f64 b a))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 a b) b) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 a b) a) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 a b) b) (.f64 (-.f64 a b) b) (-.f64 (.f64 (.f64 (-.f64 a b) a) (.f64 (-.f64 a b) a)) (.f64 (.f64 (-.f64 a b) b) (.f64 (-.f64 a b) a)))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 a b) a) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 a b) b) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 a b) a) (.f64 (-.f64 a b) a) (-.f64 (.f64 (.f64 (-.f64 a b) b) (.f64 (-.f64 a b) b)) (.f64 (.f64 (-.f64 a b) a) (.f64 (-.f64 a b) b)))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 b a) a) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 b a) (neg.f64 b)) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 b a) a) (.f64 (+.f64 b a) a) (-.f64 (.f64 (.f64 (+.f64 b a) (neg.f64 b)) (.f64 (+.f64 b a) (neg.f64 b))) (.f64 (.f64 (+.f64 b a) a) (.f64 (+.f64 b a) (neg.f64 b))))))
(/.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 3 binary64))) (pow.f64 (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a)))) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))))) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))))) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))) (.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 b a))) (neg.f64 (fma.f64 b (+.f64 b a) (.f64 a a))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (+.f64 b a))) (neg.f64 (+.f64 b a)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 a b))) (neg.f64 (fma.f64 b (-.f64 b a) (.f64 a a))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 b #s(literal 8 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 4 binary64)) (pow.f64 b #s(literal 8 binary64))) (pow.f64 a #s(literal 8 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 a #s(literal 18 binary64)) (pow.f64 b #s(literal 18 binary64))) (pow.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 a #s(literal 12 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 a b) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 b (-.f64 b a) (.f64 a a))))
(/.f64 (neg.f64 (.f64 (-.f64 a b) (.f64 (-.f64 a b) (+.f64 b a)))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (.f64 (+.f64 b a) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (fma.f64 b (+.f64 b a) (.f64 a a))))
(/.f64 (neg.f64 (.f64 (+.f64 b a) (.f64 (-.f64 a b) (+.f64 b a)))) (neg.f64 (+.f64 b a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 3 binary64))) (/.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 b b (*.f64 a a))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))))
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(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal -1 binary64)))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 4 binary64)) (pow.f64 b #s(literal 8 binary64))) (pow.f64 a #s(literal 8 binary64)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))) (hypot.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 a #s(literal 18 binary64)) (pow.f64 b #s(literal 18 binary64))) (pow.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))) (hypot.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (.f64 b a) #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (.f64 (-.f64 a b) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 b (-.f64 b a) (.f64 a a))))
(/.f64 (sqrt.f64 (.f64 (-.f64 a b) (.f64 (-.f64 a b) (+.f64 b a)))) (sqrt.f64 (-.f64 a b)))
(/.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 b (+.f64 b a) (.f64 a a))))
(/.f64 (sqrt.f64 (.f64 (+.f64 b a) (.f64 (-.f64 a b) (+.f64 b a)))) (sqrt.f64 (+.f64 b a)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 3 binary64))) (/.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 a a))))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))))))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 b b (*.f64 a a))))))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 (.f64 (fma.f64 b (+.f64 b a) (.f64 a a)) (fma.f64 b (-.f64 b a) (.f64 a a)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (-.f64 a b) (+.f64 b a)))) (sqrt.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))
(/.f64 (sqrt.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 (.f64 (+.f64 b a) (fma.f64 b (-.f64 b a) (.f64 a a)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (.f64 (-.f64 a b) (+.f64 b a)))) (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))))
(/.f64 (sqrt.f64 (.f64 (.f64 (-.f64 a b) (+.f64 b a)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (sqrt.f64 (.f64 (-.f64 a b) (fma.f64 b (+.f64 b a) (.f64 a a)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 b #s(literal 8 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 b b (*.f64 a a)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 4 binary64)) (pow.f64 b #s(literal 8 binary64))) (pow.f64 a #s(literal 8 binary64))) (fma.f64 b b (.f64 a a)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 a #s(literal 12 binary64)) (pow.f64 b #s(literal 12 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 a #s(literal 18 binary64)) (pow.f64 b #s(literal 18 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 a #s(literal 12 binary64))) (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (.f64 a a))) (.f64 (fma.f64 b b (.f64 a a)) (pow.f64 b #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))) (.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (pow.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (pow.f64 (.f64 (-.f64 a b) (+.f64 b a)) #s(literal 2 binary64))) (sqrt.f64 (.f64 (-.f64 a b) (+.f64 b a))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) b) (.f64 a a))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))) (hypot.f64 b a))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (hypot.f64 b a)))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 9 binary64)) (pow.f64 b #s(literal 9 binary64))) (sqrt.f64 (.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 a #s(literal 12 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 b #s(literal 8 binary64)))) (sqrt.f64 (.f64 (fma.f64 b b (.f64 a a)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (sqrt.f64 (.f64 (fma.f64 b b (.f64 a a)) (+.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 4 binary64)) (pow.f64 b #s(literal 8 binary64))) (pow.f64 a #s(literal 8 binary64))))))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (sqrt.f64 (.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (hypot.f64 b a)))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (hypot.f64 b a))
(/.f64 (hypot.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)))))))
(/.f64 (hypot.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (sqrt.f64 (.f64 (fma.f64 b (-.f64 b a) (.f64 a a)) (fma.f64 b (+.f64 b a) (*.f64 a a)))))
(/.f64 (hypot.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
(exp.f64 (fma.f64 (log.f64 (.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1/4 binary64) (.f64 (log.f64 (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 (-.f64 a b)) #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 b a)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (+.f64 b a)) #s(literal 1/2 binary64) (*.f64 (log.f64 (-.f64 a b)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (-.f64 a b) (+.f64 b a)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (-.f64 a b) (+.f64 b a)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1/2 binary64)))
(*.f64 a a)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 a))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 b b)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 b))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))

eval71.0ms (1.1%)

Memory: -22.5MiB live, 54.6MiB allocated
Compiler: Compiled 10 580 to 1 298 computations (87.7% saved)

prune8.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	346	5	351
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	347	5	352

Accuracy

100.0%

Counts

352 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
▶	52.4%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
▶	1.1%	(sqrt.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))
▶	99.5%	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a))
▶	1.0%	#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))

Compiler

Compiled 116 to 82 computations (29.3% saved)

simplify169.0ms (2.6%)

Memory

3.9MiB live, 87.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (+.f64 b a))
cost-diff	0	(-.f64 a b)
cost-diff	0	(sqrt.f64 (-.f64 a b))
cost-diff	0	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
cost-diff	-128	(*.f64 (-.f64 a b) (+.f64 b a))
cost-diff	0	(+.f64 b a)
cost-diff	0	(-.f64 a b)
cost-diff	0	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
cost-diff	0	(neg.f64 b)
cost-diff	0	(*.f64 (neg.f64 b) b)
cost-diff	0	#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
cost-diff	0	(sqrt.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))
cost-diff	0	(neg.f64 a)
cost-diff	0	#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
cost-diff	0	(*.f64 (/.f64 #s(literal -1/2 binary64) a) b)
cost-diff	0	(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a)
cost-diff	0	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	130
0	39	130
1	67	130
2	105	130
3	193	130
4	336	130
5	647	130
6	1608	130
7	3339	130
8	6467	130
0	8109	130

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a))
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a)
(*.f64 (/.f64 #s(literal -1/2 binary64) a) b)
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
b
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))
(neg.f64 a)
a
(sqrt.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))
#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) b)
(neg.f64 b)
b
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
(sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)))
(*.f64 (-.f64 a b) (+.f64 b a))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(-.f64 a b)
a
b
(+.f64 b a)
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
(sqrt.f64 (-.f64 a b))
(-.f64 a b)
a
b
(sqrt.f64 (+.f64 b a))
(+.f64 b a)

localize130.0ms (2%)

Memory

-25.9MiB live, 50.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 b a)
accuracy	0	(sqrt.f64 (+.f64 b a))
accuracy	0.0078125	(sqrt.f64 (-.f64 a b))
accuracy	0.45703125	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
accuracy	0	(-.f64 a b)
accuracy	0	(+.f64 b a)
accuracy	0	(*.f64 (-.f64 a b) (+.f64 b a))
accuracy	30.434655061742365	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
accuracy	0	(*.f64 (neg.f64 b) b)
accuracy	0	(neg.f64 b)
accuracy	30.434655061742365	(sqrt.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))
accuracy	60.47075366229423	#s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b))
accuracy	0	(neg.f64 a)
accuracy	63.3686478197487	#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))
accuracy	0	(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a)
accuracy	0	(/.f64 #s(literal -1/2 binary64) a)
accuracy	0.171875	(*.f64 (/.f64 #s(literal -1/2 binary64) a) b)
accuracy	0.29374117889032053	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a))

Samples

74.0ms

256×

valid

Compiler

Compiled 241 to 47 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-sub: 38.0ms (62.1% of total)

ival-mult: 11.0ms (18% of total)

ival-sqrt: 6.0ms (9.8% of total)

ival-div: 2.0ms (3.3% of total)

ival-add: 2.0ms (3.3% of total)

ival-neg: 2.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.4%)

Memory

29.0MiB live, 29.0MiB allocated

Counts

17 → 119

Calls

Call 1

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

Outputs
(* b (sqrt -1))
(+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1)))))))
(+ (* b (sqrt -1)) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow b 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* b (sqrt -1)))))))
(* -1/2 (/ (pow b 2) a))
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)
(* -1/2 (/ b a))
(/ -1/2 a)
(* -1 a)
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))
(* -1 b)
(- a b)
b
(+ a b)
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(* (sqrt b) (sqrt -1))
(+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 b)))) (* (sqrt b) (sqrt -1)))
(+ (* a (+ (* -1/8 (* (/ a (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 3))))) (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))))) (* (sqrt b) (sqrt -1)))
(+ (* a (+ (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ a (pow (sqrt -1) 5)) (sqrt (/ 1 (pow b 5))))))))) (* (sqrt b) (sqrt -1)))
(sqrt b)
(+ (sqrt b) (* 1/2 (* a (sqrt (/ 1 b)))))
(+ (sqrt b) (* a (+ (* -1/8 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (sqrt (/ 1 b))))))
(+ (sqrt b) (* a (+ (* 1/2 (sqrt (/ 1 b))) (* a (+ (* -1/8 (sqrt (/ 1 (pow b 3)))) (* 1/16 (* a (sqrt (/ 1 (pow b 5))))))))))
a
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6)))))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))
(* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(* a (+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))))
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* -1/16 (* (sqrt (/ 1 (pow a 7))) (pow b 3)))))))
(* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (pow b 3))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))))
(* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))
(* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))))
(* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6))))))))
(* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))
(* -1 (* a (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (* (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (* (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (* (pow b 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (/ (pow b 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(+ a (* -1/2 (/ (pow b 2) a)))
(+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))
(+ a (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (pow a 5))) (* 1/8 (/ 1 (pow a 3))))) (* 1/2 (/ 1 a)))))
(+ (* -1 (pow b 2)) (pow a 2))
(+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))
(+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))
(+ a (* b (+ (* 1/2 (/ (+ a (* -1 a)) a)) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) a)) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 3))))))))
(+ a (* -1 b))
(+ (* b (+ a (* -1 a))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(+ (sqrt a) (* -1/2 (* (sqrt (/ 1 a)) b)))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)))))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* -1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
(+ (sqrt a) (* 1/2 (* (sqrt (/ 1 a)) b)))
(+ (sqrt a) (* b (+ (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (sqrt (/ 1 a))))))
(+ (sqrt a) (* b (+ (* 1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* 1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
(* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))
(* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))
(* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))
(* b (+ (sqrt -1) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1)))))))
(* b (+ (sqrt -1) (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* (pow b 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1))))))))
(* b (- (/ a b) 1))
(* b (+ 1 (/ a b)))
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(* b (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))
(* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
(* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))
(* b (+ (sqrt (/ 1 b)) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))
(* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3))))))))
(* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (pow a 3) (sqrt (/ 1 (pow b 7))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))
(* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
(* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
(* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* b (sqrt -1)))) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* b (pow (sqrt -1) 3)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (sqrt -1)))) b)) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(* -1 (* (sqrt b) (sqrt -1)))
(* -1 (* b (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
(* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))
(* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (* (pow a 3) (sqrt -1)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))))
(* -1 (* (sqrt b) (pow (sqrt -1) 2)))
(* -1 (* b (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2))))))
(* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	b	@	-inf	((sqrt (- (* a a) (* b b))) (+ (* (* (/ -1/2 a) b) b) a) (* (/ -1/2 a) b) (/ -1/2 a) (sqrt (- (* a a) (* b b))) (neg a) (sqrt (- (* a a) (* b b))) (- (* a a) (* b b)) (* (neg b) b) (neg b) (sqrt (* (- a b) (+ b a))) (- a b) (+ b a) (* (- a b) (+ b a)) (* (sqrt (- a b)) (sqrt (+ b a))) (sqrt (- a b)) (sqrt (+ b a)))
5.0ms	a	@	inf	((sqrt (- (* a a) (* b b))) (+ (* (* (/ -1/2 a) b) b) a) (* (/ -1/2 a) b) (/ -1/2 a) (sqrt (- (* a a) (* b b))) (neg a) (sqrt (- (* a a) (* b b))) (- (* a a) (* b b)) (* (neg b) b) (neg b) (sqrt (* (- a b) (+ b a))) (- a b) (+ b a) (* (- a b) (+ b a)) (* (sqrt (- a b)) (sqrt (+ b a))) (sqrt (- a b)) (sqrt (+ b a)))
4.0ms	b	@	inf	((sqrt (- (* a a) (* b b))) (+ (* (* (/ -1/2 a) b) b) a) (* (/ -1/2 a) b) (/ -1/2 a) (sqrt (- (* a a) (* b b))) (neg a) (sqrt (- (* a a) (* b b))) (- (* a a) (* b b)) (* (neg b) b) (neg b) (sqrt (* (- a b) (+ b a))) (- a b) (+ b a) (* (- a b) (+ b a)) (* (sqrt (- a b)) (sqrt (+ b a))) (sqrt (- a b)) (sqrt (+ b a)))
4.0ms	a	@	-inf	((sqrt (- (* a a) (* b b))) (+ (* (* (/ -1/2 a) b) b) a) (* (/ -1/2 a) b) (/ -1/2 a) (sqrt (- (* a a) (* b b))) (neg a) (sqrt (- (* a a) (* b b))) (- (* a a) (* b b)) (* (neg b) b) (neg b) (sqrt (* (- a b) (+ b a))) (- a b) (+ b a) (* (- a b) (+ b a)) (* (sqrt (- a b)) (sqrt (+ b a))) (sqrt (- a b)) (sqrt (+ b a)))
4.0ms	a	@	0	((sqrt (- (* a a) (* b b))) (+ (* (* (/ -1/2 a) b) b) a) (* (/ -1/2 a) b) (/ -1/2 a) (sqrt (- (* a a) (* b b))) (neg a) (sqrt (- (* a a) (* b b))) (- (* a a) (* b b)) (* (neg b) b) (neg b) (sqrt (* (- a b) (+ b a))) (- a b) (+ b a) (* (- a b) (+ b a)) (* (sqrt (- a b)) (sqrt (+ b a))) (sqrt (- a b)) (sqrt (+ b a)))

simplify241.0ms (3.7%)

Memory

-8.3MiB live, 72.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	576	2603
1	1872	2171
2	7584	2168
0	8034	2035

Stop Event

1×	iter limit
1×	node limit

Counts

119 → 117

Calls

Call 1

Inputs
(* b (sqrt -1))
(+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1)))))))
(+ (* b (sqrt -1)) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow b 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* b (sqrt -1)))))))
(* -1/2 (/ (pow b 2) a))
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)
(* -1/2 (/ b a))
(/ -1/2 a)
(* -1 a)
(* -1 (pow b 2))
(- (pow a 2) (pow b 2))
(+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))
(* -1 b)
(- a b)
b
(+ a b)
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(* (sqrt b) (sqrt -1))
(+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 b)))) (* (sqrt b) (sqrt -1)))
(+ (* a (+ (* -1/8 (* (/ a (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 3))))) (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))))) (* (sqrt b) (sqrt -1)))
(+ (* a (+ (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ a (pow (sqrt -1) 5)) (sqrt (/ 1 (pow b 5))))))))) (* (sqrt b) (sqrt -1)))
(sqrt b)
(+ (sqrt b) (* 1/2 (* a (sqrt (/ 1 b)))))
(+ (sqrt b) (* a (+ (* -1/8 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (sqrt (/ 1 b))))))
(+ (sqrt b) (* a (+ (* 1/2 (sqrt (/ 1 b))) (* a (+ (* -1/8 (sqrt (/ 1 (pow b 3)))) (* 1/16 (* a (sqrt (/ 1 (pow b 5))))))))))
a
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6)))))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))
(* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(* a (+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))))
(* a (+ 1 (* -1 (/ b a))))
(* a (+ 1 (/ b a)))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* -1/16 (* (sqrt (/ 1 (pow a 7))) (pow b 3)))))))
(* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (pow b 3))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))))
(* -1 (* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2))))))
(* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4)))))))
(* -1 (* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6))))))))
(* -1 (* a (- (* 1/2 (/ (pow b 2) (pow a 2))) 1)))
(* -1 (* a (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a)) a))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (* (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (* (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (* (pow b 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (/ (pow b 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(+ a (* -1/2 (/ (pow b 2) a)))
(+ a (* (pow b 2) (- (* -1/8 (/ (pow b 2) (pow a 3))) (* 1/2 (/ 1 a)))))
(+ a (* (pow b 2) (- (* (pow b 2) (- (* -1/16 (/ (pow b 2) (pow a 5))) (* 1/8 (/ 1 (pow a 3))))) (* 1/2 (/ 1 a)))))
(+ (* -1 (pow b 2)) (pow a 2))
(+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))
(+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))
(+ a (* b (+ (* 1/2 (/ (+ a (* -1 a)) a)) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) a)) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 3))))))))
(+ a (* -1 b))
(+ (* b (+ a (* -1 a))) (pow a 2))
(+ (* b (+ a (+ (* -1 a) (* -1 b)))) (pow a 2))
(+ (sqrt a) (* -1/2 (* (sqrt (/ 1 a)) b)))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)))))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* -1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
(+ (sqrt a) (* 1/2 (* (sqrt (/ 1 a)) b)))
(+ (sqrt a) (* b (+ (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (sqrt (/ 1 a))))))
(+ (sqrt a) (* b (+ (* 1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* 1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
(* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))
(* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))
(* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
(* (pow b 2) (- (/ a (pow b 2)) (* 1/2 (/ 1 a))))
(* (pow b 2) (- (/ (pow a 2) (pow b 2)) 1))
(* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))
(* b (+ (sqrt -1) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1)))))))
(* b (+ (sqrt -1) (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* (pow b 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1))))))))
(* b (- (/ a b) 1))
(* b (+ 1 (/ a b)))
(* (pow b 2) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(* (pow b 2) (- (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2)))) 1))
(* b (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))
(* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
(* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))
(* b (+ (sqrt (/ 1 b)) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))
(* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3))))))))
(* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (pow a 3) (sqrt (/ 1 (pow b 7))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))
(* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
(* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
(* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* b (sqrt -1)))) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* b (pow (sqrt -1) 3)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (sqrt -1)))) b)) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(* -1 (* (sqrt b) (sqrt -1)))
(* -1 (* b (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
(* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))
(* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (* (pow a 3) (sqrt -1)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))))
(* -1 (* (sqrt b) (pow (sqrt -1) 2)))
(* -1 (* b (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2))))))
(* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))))

Outputs
(* b (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b)
(+ (* 1/2 (/ (pow a 2) (* b (sqrt -1)))) (* b (sqrt -1)))
(fma.f64 (.f64 (/.f64 a (.f64 (sqrt.f64 #s(literal -1 binary64)) b)) #s(literal 1/2 binary64)) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(+ (* b (sqrt -1)) (* (pow a 2) (+ (* -1/8 (/ (pow a 2) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* b (sqrt -1)))))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 3 binary64))) (.f64 a (/.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) b))) (.f64 a a) (.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(+ (* b (sqrt -1)) (* (pow a 2) (+ (* (pow a 2) (- (* 1/16 (/ (pow a 2) (* (pow b 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow b 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* b (sqrt -1)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 #s(literal 1/16 binary64) a) a) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 b #s(literal 5 binary64))))) (.f64 a a) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) b))) (.f64 a a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(* -1/2 (/ (pow b 2) a))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b)
(/ (+ (* -1/2 (pow b 2)) (pow a 2)) a)
(/.f64 (fma.f64 (.f64 b b) #s(literal -1/2 binary64) (.f64 a a)) a)
(* -1/2 (/ b a))
(*.f64 (/.f64 #s(literal -1/2 binary64) a) b)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(* -1 a)
(neg.f64 a)
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(- (pow a 2) (pow b 2))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) b (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))
(fma.f64 (fma.f64 (/.f64 a (.f64 (sqrt.f64 #s(literal -1 binary64)) b)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) a (.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) b (fma.f64 (fma.f64 (/.f64 a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) a (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 b)
(neg.f64 b)
(- a b)
(-.f64 a b)
b
(+ a b)
(+.f64 b a)
(+ (* -1 (pow b 2)) (* a (+ b (* -1 b))))
(*.f64 (neg.f64 b) b)
(+ (* -1 (pow b 2)) (* a (+ a (+ b (* -1 b)))))
(fma.f64 (neg.f64 b) b (*.f64 a a))
(* (sqrt b) (sqrt -1))
(*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 b)))) (* (sqrt b) (sqrt -1)))
(fma.f64 (.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
(+ (* a (+ (* -1/8 (* (/ a (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 3))))) (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))))) (* (sqrt b) (sqrt -1)))
(fma.f64 (fma.f64 (.f64 (/.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
(+ (* a (+ (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ a (pow (sqrt -1) 5)) (sqrt (/ 1 (pow b 5))))))))) (* (sqrt b) (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (.f64 (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) a (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
(sqrt b)
(sqrt.f64 b)
(+ (sqrt b) (* 1/2 (* a (sqrt (/ 1 b)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 b))
(+ (sqrt b) (* a (+ (* -1/8 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (sqrt (/ 1 b))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 1/2 binary64))) a (sqrt.f64 b))
(+ (sqrt b) (* a (+ (* 1/2 (sqrt (/ 1 b))) (* a (+ (* -1/8 (sqrt (/ 1 (pow b 3)))) (* 1/16 (* a (sqrt (/ 1 (pow b 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1/8 binary64))) a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 1/2 binary64))) a (sqrt.f64 b))
a
(* a (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))))
(.f64 (fma.f64 (/.f64 (/.f64 (.f64 b b) a) a) #s(literal -1/2 binary64) #s(literal 1 binary64)) a)
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (* -1/8 (/ (pow b 4) (pow a 4))))))
(.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (.f64 b b) a) a) #s(literal -1/2 binary64) #s(literal 1 binary64))) a)
(* a (+ 1 (+ (* -1/2 (/ (pow b 2) (pow a 2))) (+ (* -1/8 (/ (pow b 4) (pow a 4))) (* -1/16 (/ (pow b 6) (pow a 6)))))))
(fma.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1/16 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 b b) a) (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 a #s(literal 4 binary64))))) a a)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a)) a) a)
(* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))
a
(* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(.f64 (fma.f64 (/.f64 (.f64 (neg.f64 b) b) (*.f64 a a)) #s(literal 1/2 binary64) #s(literal 1 binary64)) a)
(* a (+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))))
(.f64 (fma.f64 #s(literal 0 binary64) (.f64 (neg.f64 b) b) (fma.f64 (/.f64 (.f64 (neg.f64 b) b) (.f64 a a)) #s(literal 1/2 binary64) #s(literal 1 binary64))) a)
(* a (+ 1 (* -1 (/ b a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(* a (+ 1 (/ b a)))
(fma.f64 (/.f64 b a) a a)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(*.f64 a a)
(* (pow a 2) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) a) a)) a) a)
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))
(.f64 (fma.f64 (.f64 (.f64 b b) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) a)
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* -1/16 (* (sqrt (/ 1 (pow a 7))) (pow b 3)))))))
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(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (*.f64 a (/.f64 a (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 b))
(* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1))))))))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (.f64 a (/.f64 a (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 b))
(* -1 (* b (+ (sqrt -1) (+ (* -1/8 (/ (pow a 4) (* (pow b 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow a 6) (* (pow b 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow a 2) (* (pow b 2) (sqrt -1)))))))))
(.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 4 binary64))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b b)) (.f64 a (/.f64 a (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 1/16 binary64)) (.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 b))
(* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) b (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* b (sqrt -1)))) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 a (/.f64 a b)) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) b)) (neg.f64 b))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* b (pow (sqrt -1) 3)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (sqrt -1)))) b)) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (.f64 a (/.f64 a (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) b)) b)) (neg.f64 b))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (neg.f64 b))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(fma.f64 (/.f64 (neg.f64 a) b) (neg.f64 b) b)
(* (pow b 2) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(*.f64 (neg.f64 b) b)
(* (pow b 2) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (pow a 2) b)))) b)) 1))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 (neg.f64 a) a) b) b)) (*.f64 b b))
(* -1 (* (sqrt b) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 b))
(* -1 (* b (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) a) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 b))
(* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) a) a) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) a) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 b))
(* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (* (pow a 3) (sqrt -1)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) a) a) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 a #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) a) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 b))
(* -1 (* (sqrt b) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 b) #s(literal 1 binary64))
(* -1 (* b (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))) (neg.f64 b))
(* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 (.f64 a (/.f64 a #s(literal -1 binary64))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64)))) (neg.f64 b))
(* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (.f64 (.f64 a (/.f64 a #s(literal -1 binary64))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))))) (neg.f64 b))

rewrite269.0ms (4.1%)

Memory

-1.3MiB live, 109.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	115
0	39	114
1	123	114
2	788	114
0	8437	114

Stop Event

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

Counts

17 → 835

Calls

Call 1

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

Outputs
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a))
(.f64 (-.f64 (.f64 a a) (pow.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 a #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (.f64 (neg.f64 a) a))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 b a) b) a)))
(.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (/.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (.f64 a #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (.f64 a (-.f64 a (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b)))))))
(.f64 (fma.f64 (pow.f64 (.f64 a #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (.f64 (neg.f64 a) a)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 b a) b) a)))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a))
(.f64 (fma.f64 (pow.f64 (.f64 a #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (.f64 a (-.f64 a (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b)))) (.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a) (pow.f64 (fma.f64 (pow.f64 (.f64 a #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (.f64 a (-.f64 a (.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b)))) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (/.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b (neg.f64 a))))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (/.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (.f64 a #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (.f64 a (-.f64 a (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a) (.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b (neg.f64 a)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b a) b) a))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 b a) b) a))) (fma.f64 (pow.f64 (.f64 a #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (.f64 a a)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 b a) b) a))) (+.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) a) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 (.f64 a #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (.f64 a (-.f64 a (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) #s(literal 9 binary64)) (pow.f64 a #s(literal 9 binary64))) (pow.f64 (fma.f64 (pow.f64 (.f64 a #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (.f64 a (-.f64 a (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b)))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) a) #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 a #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (.f64 (neg.f64 a) a)) #s(literal 1 binary64)) (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b (neg.f64 a)))
(/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (/.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 a #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (.f64 a (-.f64 a (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) #s(literal 2 binary64)) (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b (neg.f64 a))) (/.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) #s(literal 2 binary64)) (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b (neg.f64 a)))) (.f64 (/.f64 (.f64 (neg.f64 a) a) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 b a) b) a)) (/.f64 (.f64 (neg.f64 a) a) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 b a) b) a)))) (fma.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 b a) b) a)) (/.f64 (.f64 (neg.f64 a) a) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b a) b) a))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) #s(literal 2 binary64)) (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b (neg.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (neg.f64 a) a) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 b a) b) a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) #s(literal 2 binary64)) (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b (neg.f64 a))) (/.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) #s(literal 2 binary64)) (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b (neg.f64 a))) (fma.f64 (/.f64 (.f64 (neg.f64 a) a) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 b a) b) a)) (/.f64 (.f64 (neg.f64 a) a) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 b a) b) a)) (.f64 (/.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) #s(literal 2 binary64)) (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b (neg.f64 a))) (/.f64 (.f64 (neg.f64 a) a) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b a) b) a))))))
(/.f64 (neg.f64 (-.f64 (.f64 a a) (pow.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 a (.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 a #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (.f64 (neg.f64 a) a)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b a) b) a)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (/.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 a #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (.f64 a (-.f64 a (.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) #s(literal 2 binary64)) (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b (neg.f64 a))) (.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b (neg.f64 a)) (.f64 a a))) (.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b (neg.f64 a)) (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b (neg.f64 a))))
(/.f64 (-.f64 (.f64 a a) (pow.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) #s(literal 2 binary64))) (-.f64 a (.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 a #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (.f64 (neg.f64 a) a))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 b a) b) a))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (/.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a (.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) b) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b (neg.f64 a))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (/.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 a #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 4 binary64)) (.f64 a (-.f64 a (.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b))))))
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(.f64 (pow.f64 (.f64 (/.f64 (-.f64 a b) (fma.f64 (-.f64 a b) a (.f64 b b))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (-.f64 a b) a (.f64 b b))))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)))
(.f64 (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (+.f64 b a) a (.f64 b b)))))
(.f64 (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (+.f64 b a) a (.f64 b b)) #s(literal -1 binary64))))
(.f64 (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 3/2 binary64))) (pow.f64 (pow.f64 (fma.f64 (+.f64 b a) a (.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (/.f64 (-.f64 a b) (+.f64 b a))))
(*.f64 (sqrt.f64 (+.f64 b a)) (pow.f64 (/.f64 (-.f64 a b) (+.f64 b a)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 a b)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1 binary64))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 b a))))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 a b))) (sqrt.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (.f64 (+.f64 b a) (-.f64 a b))) (pow.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (-.f64 a b))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (-.f64 a b) (-.f64 a b)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 a b) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (+.f64 b a) a (*.f64 b b)))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 b a) (-.f64 a b)))) (neg.f64 (sqrt.f64 (+.f64 b a))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (+.f64 b a) a (*.f64 b b)))))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))) (sqrt.f64 (neg.f64 (+.f64 b a))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (.f64 (+.f64 b a) (fma.f64 b b (.f64 a a)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (.f64 (+.f64 b a) (fma.f64 (.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 a a (*.f64 (neg.f64 b) (-.f64 (neg.f64 b) a)))))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 (+.f64 b a) a (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (+.f64 b a) a (*.f64 b b))) (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (*.f64 (+.f64 b a) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a b))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (sqrt.f64 (+.f64 b a)))
(sqrt.f64 (-.f64 a b))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 (+.f64 b a) (-.f64 a b))) #s(literal 1/2 binary64)) (*.f64 (log.f64 (+.f64 b a)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 a) a (.f64 b b))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 b a))))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 a) a (.f64 b b))) (sqrt.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 a) a (.f64 b b))) (pow.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 a b) a (.f64 b b)))))
(.f64 (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (-.f64 a b) a (.f64 b b)) #s(literal -1 binary64))))
(.f64 (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 (pow.f64 (fma.f64 (-.f64 a b) a (.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (+.f64 b a))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 b a) (+.f64 b a)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 b a) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))) (neg.f64 (sqrt.f64 (-.f64 b a))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)))))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) a (*.f64 b b))) (sqrt.f64 (-.f64 b a)))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 (-.f64 a b) a (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 b a)) (sqrt.f64 (fma.f64 (neg.f64 a) a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 a b) a (*.f64 b b))) (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (sqrt.f64 (-.f64 a b)))
(sqrt.f64 (+.f64 b a))
(hypot.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 a #s(literal 1/2 binary64)))
(hypot.f64 (pow.f64 a #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 b a)) #s(literal 1/2 binary64)))

eval333.0ms (5.1%)

Memory: -1.0MiB live, 151.4MiB allocated
Compiler: Compiled 28 533 to 3 675 computations (87.1% saved)

prune97.0ms (1.5%)

Memory

1.9MiB live, 56.6MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1 111	3	1 114
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 113	6	1 119

Accuracy

100.0%

Counts

1 119 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 b a))))
▶	99.4%	(*.f64 (sqrt.f64 (-.f64 a b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)))))
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
✓	52.4%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
✓	99.5%	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a))
▶	98.9%	#s(approx (sqrt (* (- a b) (+ b a))) a)

Compiler

Compiled 73 to 51 computations (30.1% saved)

simplify421.0ms (6.4%)

Memory

14.4MiB live, 240.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 b a)))
cost-diff	0	(-.f64 a b)
cost-diff	0	(pow.f64 (-.f64 a b) #s(literal 1/4 binary64))
cost-diff	12800	(.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 b a))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64))))
cost-diff	0	(-.f64 a b)
cost-diff	0	(sqrt.f64 (-.f64 a b))
cost-diff	320	(*.f64 (sqrt.f64 (-.f64 a b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)))))
cost-diff	0	#s(approx (sqrt (* (- a b) (+ b a))) a)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	101
0	31	101
1	51	93
2	81	92
3	142	92
4	254	92
5	469	92
6	927	92
7	1848	92
8	2472	92
9	2746	92
10	2813	92
11	2858	92
12	2865	92
13	2867	92
14	2867	92
15	2869	92
0	9049	92

Stop Event

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

Calls

Call 1

Inputs
#s(approx (sqrt (* (- a b) (+ b a))) a)
a
(*.f64 (sqrt.f64 (-.f64 a b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)))))
(sqrt.f64 (-.f64 a b))
(-.f64 a b)
a
b
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)))
(pow.f64 (+.f64 b a) #s(literal -1 binary64))
(+.f64 b a)
#s(literal -1 binary64)
(.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 b a))))
(pow.f64 (-.f64 a b) #s(literal 1/4 binary64))
(-.f64 a b)
a
b
#s(literal 1/4 binary64)
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 b a)))
(sqrt.f64 (+.f64 b a))
(+.f64 b a)

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

localize59.0ms (0.9%)

Memory

-19.5MiB live, 101.3MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 (+.f64 b a))
accuracy	0.00390625	(pow.f64 (-.f64 a b) #s(literal 1/4 binary64))
accuracy	0.26171875	(.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 b a))))
accuracy	0.32650375976844204	(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 b a)))
accuracy	0.0078125	(sqrt.f64 (-.f64 a b))
accuracy	0.12109375	(sqrt.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)))
accuracy	0.2734375	(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64))))
accuracy	0.45703125	(*.f64 (sqrt.f64 (-.f64 a b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)))))
accuracy	0.6837264922848595	#s(approx (sqrt (* (- a b) (+ b a))) a)

Samples

44.0ms

256×

valid

Compiler

Compiled 202 to 41 computations (79.7% saved)

Precisions

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

ival-pow: 8.0ms (29.4% of total)

ival-mult: 7.0ms (25.8% of total)

ival-sqrt: 7.0ms (25.8% of total)

ival-div: 2.0ms (7.4% of total)

ival-sub: 2.0ms (7.4% of total)

ival-add: 1.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory

30.5MiB live, 30.5MiB allocated

Counts

10 → 138

Calls

Call 1

Inputs
#s(approx (sqrt (* (- a b) (+ b a))) a)
(*.f64 (sqrt.f64 (-.f64 a b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)))))
(sqrt.f64 (-.f64 a b))
(-.f64 a b)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64))))
(.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 b a))))
(pow.f64 (-.f64 a b) #s(literal 1/4 binary64))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 b a)))
(sqrt.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)))
(sqrt.f64 (+.f64 b a))

Outputs
(* b (sqrt -1))
(+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))
(* (sqrt b) (sqrt -1))
(+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 b)))) (* (sqrt b) (sqrt -1)))
(+ (* a (+ (* -1/8 (* (/ a (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 3))))) (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))))) (* (sqrt b) (sqrt -1)))
(+ (* a (+ (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ a (pow (sqrt -1) 5)) (sqrt (/ 1 (pow b 5))))))))) (* (sqrt b) (sqrt -1)))
(* -1 b)
(- a b)
(sqrt b)
(+ (sqrt b) (* 1/2 (* a (sqrt (/ 1 b)))))
(+ (sqrt b) (* a (+ (* -1/8 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (sqrt (/ 1 b))))))
(+ (sqrt b) (* a (+ (* 1/2 (sqrt (/ 1 b))) (* a (+ (* -1/8 (sqrt (/ 1 (pow b 3)))) (* 1/16 (* a (sqrt (/ 1 (pow b 5))))))))))
(pow (* -1 b) 1/4)
(+ (* -1/4 (* (pow (/ -1 (pow b 3)) 1/4) a)) (pow (* -1 b) 1/4))
(+ (* a (+ (* -1/4 (pow (/ -1 (pow b 3)) 1/4)) (* -3/32 (* (pow (/ -1 (pow b 7)) 1/4) a)))) (pow (* -1 b) 1/4))
(+ (* a (+ (* -1/4 (pow (/ -1 (pow b 3)) 1/4)) (* a (+ (* -3/32 (pow (/ -1 (pow b 7)) 1/4)) (* -7/128 (* (pow (/ -1 (pow b 11)) 1/4) a)))))) (pow (* -1 b) 1/4))
(pow (* -1 (pow b 3)) 1/4)
(+ (* a (+ (* -1/4 (pow (/ -1 b) 1/4)) (* 1/2 (pow (/ -1 b) 1/4)))) (pow (* -1 (pow b 3)) 1/4))
(+ (* a (+ (* -1/4 (pow (/ -1 b) 1/4)) (+ (* 1/2 (pow (/ -1 b) 1/4)) (* a (+ (* -1/4 (pow (/ -1 (pow b 5)) 1/4)) (* -3/32 (pow (/ -1 (pow b 5)) 1/4))))))) (pow (* -1 (pow b 3)) 1/4))
(+ (* a (+ (* -1/4 (pow (/ -1 b) 1/4)) (+ (* 1/2 (pow (/ -1 b) 1/4)) (* a (+ (* -1/4 (pow (/ -1 (pow b 5)) 1/4)) (+ (* -3/32 (pow (/ -1 (pow b 5)) 1/4)) (* a (+ (* -7/128 (pow (/ -1 (pow b 9)) 1/4)) (+ (* -3/64 (pow (/ -1 (pow b 9)) 1/4)) (+ (* 1/32 (pow (/ -1 (pow b 9)) 1/4)) (* 1/16 (pow (/ -1 (pow b 9)) 1/4)))))))))))) (pow (* -1 (pow b 3)) 1/4))
(sqrt (/ 1 b))
(+ (sqrt (/ 1 b)) (* -1/2 (* a (sqrt (/ 1 (pow b 3))))))
(+ (sqrt (/ 1 b)) (* a (+ (* -1/2 (sqrt (/ 1 (pow b 3)))) (* 3/8 (* a (sqrt (/ 1 (pow b 5))))))))
(+ (sqrt (/ 1 b)) (* a (+ (* -1/2 (sqrt (/ 1 (pow b 3)))) (* a (+ (* -5/16 (* a (sqrt (/ 1 (pow b 7))))) (* 3/8 (sqrt (/ 1 (pow b 5)))))))))
a
(* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))
(* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(* a (+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* -1/16 (* (sqrt (/ 1 (pow a 7))) (pow b 3)))))))
(* a (+ 1 (* -1 (/ b a))))
(* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (pow b 3))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))))
(pow (* 1 a) 1/4)
(+ (* -1/4 (* (pow (/ 1 (pow a 3)) 1/4) b)) (pow (* 1 a) 1/4))
(+ (* -1/4 (* (pow (/ 1 (pow a 3)) 1/4) b)) (+ (* (pow (/ 1 (pow a 7)) 1/4) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2)))) (pow (* 1 a) 1/4)))
(+ (* -1/4 (* (pow (/ 1 (pow a 3)) 1/4) b)) (+ (* (pow (/ 1 (pow a 7)) 1/4) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2)))) (+ (* (pow (/ 1 (pow a 11)) 1/4) (+ (* -1/12 (pow b 3)) (+ (* -1/384 (pow b 3)) (* 1/32 (pow b 3))))) (pow (* 1 a) 1/4))))
(pow (* 1 (pow a 3)) 1/4)
(* a (+ (* -1/4 (* (pow (/ 1 (pow a 5)) 1/4) b)) (pow (/ 1 a) 1/4)))
(* a (+ (* -1/4 (* (pow (/ 1 (pow a 5)) 1/4) b)) (+ (* 1/2 (* (pow (/ 1 (pow a 5)) 1/4) b)) (+ (* (pow (/ 1 (pow a 9)) 1/4) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2)))) (pow (/ 1 a) 1/4)))))
(* a (+ (* -1/4 (* (pow (/ 1 (pow a 5)) 1/4) b)) (+ (* -1/8 (* (pow (/ 1 (pow a 9)) 1/4) (pow b 2))) (+ (* 1/2 (* (pow (/ 1 (pow a 5)) 1/4) b)) (+ (* (pow (/ 1 (pow a 9)) 1/4) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2)))) (+ (* (pow (/ 1 (pow a 13)) 1/4) (+ (* -1/12 (pow b 3)) (+ (* -1/384 (pow b 3)) (* 1/32 (pow b 3))))) (pow (/ 1 a) 1/4)))))))
(sqrt (/ 1 a))
(+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)))
(+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (* (sqrt (/ 1 (pow a 5))) (pow b 2)))))
(+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 7))) (+ (* 1/4 (* a (pow b 2))) (pow b 3)))) (* 1/2 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))
(* -1 (* a (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (* (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (* (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (* (pow b 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (/ (pow b 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1 a)
(* -1 (* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a)))))
(* -1 (* a (+ 1 (* -1 (/ (+ (* -1/2 (+ b (* -1 b))) (* -1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) a))) a)))))
(* -1 (* a (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) a)) (* 1/2 (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))))) a)) (* -1/2 (+ b (* -1 b)))) a)))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a))))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (* -1/4 (/ (* b (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a))))))) a)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2)))) a)) (* 1/4 (* b (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a))))))))) a)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (+ (* -1/32 (pow b 3)) (+ (* 1/384 (pow b 3)) (* 1/12 (pow b 3))))) a)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2))))) a)) (* 1/4 (* b (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a))))))))) a)))
(* -1 (* (sqrt a) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1/4 (* (sqrt (/ 1 (pow a 3))) (* b (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (pow (sqrt -1) 2))))) (* (sqrt (/ 1 a)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt a) (* b (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a))))))))) (* (sqrt (/ 1 a)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (* (pow (sqrt -1) 2) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2))))))) a)) (* 1/4 (* (sqrt (/ 1 a)) (* b (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (pow (sqrt -1) 2)))))) a)) (* (sqrt (/ 1 a)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt a) (* (pow b 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a))))))))) (* (sqrt (/ 1 a)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (* (pow (sqrt -1) 2) (+ (* -1/32 (pow b 3)) (+ (* 1/384 (pow b 3)) (* 1/12 (pow b 3)))))))) a)) (+ (* 1/2 (* (sqrt a) (* b (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a))))))))) (* (sqrt (/ 1 a)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (* (pow (sqrt -1) 2) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2)))))))) a)) (* 1/4 (* (sqrt (/ 1 a)) (* b (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (pow (sqrt -1) 2)))))) a)) (* (sqrt (/ 1 a)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (pow (sqrt -1) 2))))))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt a) (pow b 2))) (* 1/2 (* (sqrt (/ 1 a)) (+ (* -1/4 (/ (* a (pow b 2)) (pow (sqrt -1) 2))) (pow b 3))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
(+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))
(+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))
(+ a (* b (+ (* 1/2 (/ (+ a (* -1 a)) a)) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) a)) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 3))))))))
(+ (sqrt a) (* -1/2 (* (sqrt (/ 1 a)) b)))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)))))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* -1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
(+ a (* -1 b))
(+ (sqrt a) (* 1/2 (* (sqrt (/ 1 a)) b)))
(+ (sqrt a) (* b (+ (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (sqrt (/ 1 a))))))
(+ (sqrt a) (* b (+ (* 1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* 1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
(+ (* b (+ (* -1/4 (pow (/ 1 (pow a 3)) 1/4)) (* -3/32 (* (pow (/ 1 (pow a 7)) 1/4) b)))) (pow (* 1 a) 1/4))
(+ (* b (+ (* -1/4 (pow (/ 1 (pow a 3)) 1/4)) (* b (+ (* -3/32 (pow (/ 1 (pow a 7)) 1/4)) (* -7/128 (* (pow (/ 1 (pow a 11)) 1/4) b)))))) (pow (* 1 a) 1/4))
(+ (* b (+ (* -1/4 (pow (/ 1 a) 1/4)) (* 1/2 (pow (/ 1 a) 1/4)))) (pow (* 1 (pow a 3)) 1/4))
(+ (* b (+ (* -1/4 (pow (/ 1 a) 1/4)) (+ (* 1/2 (pow (/ 1 a) 1/4)) (* b (+ (* -1/4 (pow (/ 1 (pow a 5)) 1/4)) (* -3/32 (pow (/ 1 (pow a 5)) 1/4))))))) (pow (* 1 (pow a 3)) 1/4))
(+ (* b (+ (* -1/4 (pow (/ 1 a) 1/4)) (+ (* 1/2 (pow (/ 1 a) 1/4)) (* b (+ (* -1/4 (pow (/ 1 (pow a 5)) 1/4)) (+ (* -3/32 (pow (/ 1 (pow a 5)) 1/4)) (* b (+ (* -7/128 (pow (/ 1 (pow a 9)) 1/4)) (+ (* -3/64 (pow (/ 1 (pow a 9)) 1/4)) (+ (* 1/32 (pow (/ 1 (pow a 9)) 1/4)) (* 1/16 (pow (/ 1 (pow a 9)) 1/4)))))))))))) (pow (* 1 (pow a 3)) 1/4))
(+ (sqrt (/ 1 a)) (* b (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3/8 (* (sqrt (/ 1 (pow a 5))) b)))))
(+ (sqrt (/ 1 a)) (* b (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* b (+ (* -5/16 (* (sqrt (/ 1 (pow a 7))) b)) (* 3/8 (sqrt (/ 1 (pow a 5)))))))))
(* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))
(* b (+ (sqrt -1) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1)))))))
(* b (+ (sqrt -1) (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* (pow b 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1))))))))
(* b (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))
(* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
(* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))
(* b (- (/ a b) 1))
(* b (+ (sqrt (/ 1 b)) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))
(* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3))))))))
(* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (pow a 3) (sqrt (/ 1 (pow b 7))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (* -1/4 (/ (* a (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) b)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/4 (/ (* a (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) b)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2)))) (pow b 2))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/4 (/ (* a (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) b)) (+ (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2)))) (pow b 2)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/12 (pow a 3)) (+ (* -1/384 (pow a 3)) (* 1/32 (pow a 3))))) (pow b 3)))))
(* (sqrt b) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))))
(* b (+ (* -1/4 (* (* a (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))))))
(* b (+ (* -1/4 (* (* a (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) (sqrt (/ 1 (pow b 3))))) (+ (* 1/2 (* (* a (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt (/ 1 b)) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) (* (sqrt (/ 1 (pow b 5))) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2)))))))))
(* b (+ (* -1/4 (* (* a (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) (sqrt (/ 1 (pow b 3))))) (+ (* -1/8 (* (* (pow a 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (* a (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt (/ 1 b)) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) (+ (* (sqrt (/ 1 (pow b 5))) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2))))) (* (sqrt (/ 1 (pow b 7))) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/12 (pow a 3)) (+ (* -1/384 (pow a 3)) (* 1/32 (pow a 3))))))))))))
(+ (sqrt (/ 1 b)) (+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (* (pow a 2) (sqrt (/ 1 (pow b 5)))))))
(+ (sqrt (/ 1 b)) (+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (+ (* -1/2 (* (sqrt (/ 1 (pow b 7))) (+ (* 1/4 (* (pow a 2) b)) (pow a 3)))) (* 1/2 (* (pow a 2) (sqrt (/ 1 (pow b 5))))))))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* b (sqrt -1)))) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* b (pow (sqrt -1) 3)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (sqrt -1)))) b)) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (* (sqrt b) (sqrt -1)))
(* -1 (* b (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
(* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))
(* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (* (pow a 3) (sqrt -1)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* (sqrt b) (pow (sqrt -1) 2)))
(* -1 (* b (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2))))))
(* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow b 3)) 1/4) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2))))) (* 1/4 (* (pow (* -1 b) 1/4) a))) b)) (pow (* -1 b) 1/4))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow b 3)) 1/4) (+ (* -1/32 (pow a 3)) (+ (* 1/384 (pow a 3)) (* 1/12 (pow a 3)))))) (* (pow (* -1 b) 1/4) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2))))) b)) (* 1/4 (* (pow (* -1 b) 1/4) a))) b)) (pow (* -1 b) 1/4))
(* -1 (* (pow (* -1 (pow b 3)) 1/4) (sqrt -1)))
(* -1 (* b (+ (* -1/4 (* (pow (/ -1 (pow b 5)) 1/4) (* a (sqrt -1)))) (* (pow (/ -1 b) 1/4) (sqrt -1)))))
(* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow (* -1 (pow b 3)) 1/4) (/ a (sqrt -1)))) (* (pow (/ -1 b) 1/4) (* (sqrt -1) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2)))))) b)) (* 1/4 (* (pow (/ -1 b) 1/4) (* a (sqrt -1))))) b)) (* (pow (/ -1 b) 1/4) (sqrt -1)))))
(* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (pow (* -1 (pow b 3)) 1/4) (/ (pow a 2) (sqrt -1)))) (* (pow (/ -1 b) 1/4) (* (sqrt -1) (+ (* -1/32 (pow a 3)) (+ (* 1/384 (pow a 3)) (* 1/12 (pow a 3))))))) b)) (+ (* 1/2 (* (pow (* -1 (pow b 3)) 1/4) (/ a (sqrt -1)))) (* (pow (/ -1 b) 1/4) (* (sqrt -1) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2))))))) b)) (* 1/4 (* (pow (/ -1 b) 1/4) (* a (sqrt -1))))) b)) (* (pow (/ -1 b) 1/4) (sqrt -1)))))
(* (sqrt (/ 1 b)) (pow (sqrt -1) 2))
(+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (+ (* 1/2 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (sqrt b))) (* 1/2 (* (sqrt (/ 1 b)) (+ (* -1/4 (/ (* (pow a 2) b) (pow (sqrt -1) 2))) (pow a 3))))) (pow b 3))) (+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	b	@	inf	((sqrt (* (- a b) (+ b a))) (* (sqrt (- a b)) (/ 1 (sqrt (pow (+ b a) -1)))) (sqrt (- a b)) (- a b) (/ 1 (sqrt (pow (+ b a) -1))) (* (pow (- a b) 1/4) (* (pow (- a b) 1/4) (sqrt (+ b a)))) (pow (- a b) 1/4) (* (pow (- a b) 1/4) (sqrt (+ b a))) (sqrt (pow (+ b a) -1)) (sqrt (+ b a)))
4.0ms	a	@	-inf	((sqrt (* (- a b) (+ b a))) (* (sqrt (- a b)) (/ 1 (sqrt (pow (+ b a) -1)))) (sqrt (- a b)) (- a b) (/ 1 (sqrt (pow (+ b a) -1))) (* (pow (- a b) 1/4) (* (pow (- a b) 1/4) (sqrt (+ b a)))) (pow (- a b) 1/4) (* (pow (- a b) 1/4) (sqrt (+ b a))) (sqrt (pow (+ b a) -1)) (sqrt (+ b a)))
3.0ms	a	@	inf	((sqrt (* (- a b) (+ b a))) (* (sqrt (- a b)) (/ 1 (sqrt (pow (+ b a) -1)))) (sqrt (- a b)) (- a b) (/ 1 (sqrt (pow (+ b a) -1))) (* (pow (- a b) 1/4) (* (pow (- a b) 1/4) (sqrt (+ b a)))) (pow (- a b) 1/4) (* (pow (- a b) 1/4) (sqrt (+ b a))) (sqrt (pow (+ b a) -1)) (sqrt (+ b a)))
3.0ms	b	@	-inf	((sqrt (* (- a b) (+ b a))) (* (sqrt (- a b)) (/ 1 (sqrt (pow (+ b a) -1)))) (sqrt (- a b)) (- a b) (/ 1 (sqrt (pow (+ b a) -1))) (* (pow (- a b) 1/4) (* (pow (- a b) 1/4) (sqrt (+ b a)))) (pow (- a b) 1/4) (* (pow (- a b) 1/4) (sqrt (+ b a))) (sqrt (pow (+ b a) -1)) (sqrt (+ b a)))
2.0ms	a	@	0	((sqrt (* (- a b) (+ b a))) (* (sqrt (- a b)) (/ 1 (sqrt (pow (+ b a) -1)))) (sqrt (- a b)) (- a b) (/ 1 (sqrt (pow (+ b a) -1))) (* (pow (- a b) 1/4) (* (pow (- a b) 1/4) (sqrt (+ b a)))) (pow (- a b) 1/4) (* (pow (- a b) 1/4) (sqrt (+ b a))) (sqrt (pow (+ b a) -1)) (sqrt (+ b a)))

simplify287.0ms (4.4%)

Memory

-7.9MiB live, 314.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	885	4466
1	2897	3775
0	8675	3568

Stop Event

1×	iter limit
1×	node limit

Counts

138 → 137

Calls

Call 1

Inputs
(* b (sqrt -1))
(+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))
(* (sqrt b) (sqrt -1))
(+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 b)))) (* (sqrt b) (sqrt -1)))
(+ (* a (+ (* -1/8 (* (/ a (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 3))))) (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))))) (* (sqrt b) (sqrt -1)))
(+ (* a (+ (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ a (pow (sqrt -1) 5)) (sqrt (/ 1 (pow b 5))))))))) (* (sqrt b) (sqrt -1)))
(* -1 b)
(- a b)
(sqrt b)
(+ (sqrt b) (* 1/2 (* a (sqrt (/ 1 b)))))
(+ (sqrt b) (* a (+ (* -1/8 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (sqrt (/ 1 b))))))
(+ (sqrt b) (* a (+ (* 1/2 (sqrt (/ 1 b))) (* a (+ (* -1/8 (sqrt (/ 1 (pow b 3)))) (* 1/16 (* a (sqrt (/ 1 (pow b 5))))))))))
(pow (* -1 b) 1/4)
(+ (* -1/4 (* (pow (/ -1 (pow b 3)) 1/4) a)) (pow (* -1 b) 1/4))
(+ (* a (+ (* -1/4 (pow (/ -1 (pow b 3)) 1/4)) (* -3/32 (* (pow (/ -1 (pow b 7)) 1/4) a)))) (pow (* -1 b) 1/4))
(+ (* a (+ (* -1/4 (pow (/ -1 (pow b 3)) 1/4)) (* a (+ (* -3/32 (pow (/ -1 (pow b 7)) 1/4)) (* -7/128 (* (pow (/ -1 (pow b 11)) 1/4) a)))))) (pow (* -1 b) 1/4))
(pow (* -1 (pow b 3)) 1/4)
(+ (* a (+ (* -1/4 (pow (/ -1 b) 1/4)) (* 1/2 (pow (/ -1 b) 1/4)))) (pow (* -1 (pow b 3)) 1/4))
(+ (* a (+ (* -1/4 (pow (/ -1 b) 1/4)) (+ (* 1/2 (pow (/ -1 b) 1/4)) (* a (+ (* -1/4 (pow (/ -1 (pow b 5)) 1/4)) (* -3/32 (pow (/ -1 (pow b 5)) 1/4))))))) (pow (* -1 (pow b 3)) 1/4))
(+ (* a (+ (* -1/4 (pow (/ -1 b) 1/4)) (+ (* 1/2 (pow (/ -1 b) 1/4)) (* a (+ (* -1/4 (pow (/ -1 (pow b 5)) 1/4)) (+ (* -3/32 (pow (/ -1 (pow b 5)) 1/4)) (* a (+ (* -7/128 (pow (/ -1 (pow b 9)) 1/4)) (+ (* -3/64 (pow (/ -1 (pow b 9)) 1/4)) (+ (* 1/32 (pow (/ -1 (pow b 9)) 1/4)) (* 1/16 (pow (/ -1 (pow b 9)) 1/4)))))))))))) (pow (* -1 (pow b 3)) 1/4))
(sqrt (/ 1 b))
(+ (sqrt (/ 1 b)) (* -1/2 (* a (sqrt (/ 1 (pow b 3))))))
(+ (sqrt (/ 1 b)) (* a (+ (* -1/2 (sqrt (/ 1 (pow b 3)))) (* 3/8 (* a (sqrt (/ 1 (pow b 5))))))))
(+ (sqrt (/ 1 b)) (* a (+ (* -1/2 (sqrt (/ 1 (pow b 3)))) (* a (+ (* -5/16 (* a (sqrt (/ 1 (pow b 7))))) (* 3/8 (sqrt (/ 1 (pow b 5)))))))))
a
(* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))
(* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(* a (+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* -1/16 (* (sqrt (/ 1 (pow a 7))) (pow b 3)))))))
(* a (+ 1 (* -1 (/ b a))))
(* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (pow b 3))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))))
(pow (* 1 a) 1/4)
(+ (* -1/4 (* (pow (/ 1 (pow a 3)) 1/4) b)) (pow (* 1 a) 1/4))
(+ (* -1/4 (* (pow (/ 1 (pow a 3)) 1/4) b)) (+ (* (pow (/ 1 (pow a 7)) 1/4) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2)))) (pow (* 1 a) 1/4)))
(+ (* -1/4 (* (pow (/ 1 (pow a 3)) 1/4) b)) (+ (* (pow (/ 1 (pow a 7)) 1/4) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2)))) (+ (* (pow (/ 1 (pow a 11)) 1/4) (+ (* -1/12 (pow b 3)) (+ (* -1/384 (pow b 3)) (* 1/32 (pow b 3))))) (pow (* 1 a) 1/4))))
(pow (* 1 (pow a 3)) 1/4)
(* a (+ (* -1/4 (* (pow (/ 1 (pow a 5)) 1/4) b)) (pow (/ 1 a) 1/4)))
(* a (+ (* -1/4 (* (pow (/ 1 (pow a 5)) 1/4) b)) (+ (* 1/2 (* (pow (/ 1 (pow a 5)) 1/4) b)) (+ (* (pow (/ 1 (pow a 9)) 1/4) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2)))) (pow (/ 1 a) 1/4)))))
(* a (+ (* -1/4 (* (pow (/ 1 (pow a 5)) 1/4) b)) (+ (* -1/8 (* (pow (/ 1 (pow a 9)) 1/4) (pow b 2))) (+ (* 1/2 (* (pow (/ 1 (pow a 5)) 1/4) b)) (+ (* (pow (/ 1 (pow a 9)) 1/4) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2)))) (+ (* (pow (/ 1 (pow a 13)) 1/4) (+ (* -1/12 (pow b 3)) (+ (* -1/384 (pow b 3)) (* 1/32 (pow b 3))))) (pow (/ 1 a) 1/4)))))))
(sqrt (/ 1 a))
(+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)))
(+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (* (sqrt (/ 1 (pow a 5))) (pow b 2)))))
(+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 7))) (+ (* 1/4 (* a (pow b 2))) (pow b 3)))) (* 1/2 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))
(* -1 (* a (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (* (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (* (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (* (pow b 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1 (* a (- (/ b a) 1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (/ (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (/ (pow b 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1 a)
(* -1 (* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a)))))
(* -1 (* a (+ 1 (* -1 (/ (+ (* -1/2 (+ b (* -1 b))) (* -1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) a))) a)))))
(* -1 (* a (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) a)) (* 1/2 (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))))) a)) (* -1/2 (+ b (* -1 b)))) a)))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a))))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (* -1/4 (/ (* b (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a))))))) a)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2)))) a)) (* 1/4 (* b (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a))))))))) a)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (+ (* -1/32 (pow b 3)) (+ (* 1/384 (pow b 3)) (* 1/12 (pow b 3))))) a)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2))))) a)) (* 1/4 (* b (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a))))))))) a)))
(* -1 (* (sqrt a) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1/4 (* (sqrt (/ 1 (pow a 3))) (* b (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (pow (sqrt -1) 2))))) (* (sqrt (/ 1 a)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt a) (* b (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a))))))))) (* (sqrt (/ 1 a)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (* (pow (sqrt -1) 2) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2))))))) a)) (* 1/4 (* (sqrt (/ 1 a)) (* b (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (pow (sqrt -1) 2)))))) a)) (* (sqrt (/ 1 a)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt a) (* (pow b 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a))))))))) (* (sqrt (/ 1 a)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (* (pow (sqrt -1) 2) (+ (* -1/32 (pow b 3)) (+ (* 1/384 (pow b 3)) (* 1/12 (pow b 3)))))))) a)) (+ (* 1/2 (* (sqrt a) (* b (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a))))))))) (* (sqrt (/ 1 a)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (* (pow (sqrt -1) 2) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2)))))))) a)) (* 1/4 (* (sqrt (/ 1 a)) (* b (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (pow (sqrt -1) 2)))))) a)) (* (sqrt (/ 1 a)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 a)))))) (pow (sqrt -1) 2))))))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt a) (pow b 2))) (* 1/2 (* (sqrt (/ 1 a)) (+ (* -1/4 (/ (* a (pow b 2)) (pow (sqrt -1) 2))) (pow b 3))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
(+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))
(+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))
(+ a (* b (+ (* 1/2 (/ (+ a (* -1 a)) a)) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) a)) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 3))))))))
(+ (sqrt a) (* -1/2 (* (sqrt (/ 1 a)) b)))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)))))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* -1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
(+ a (* -1 b))
(+ (sqrt a) (* 1/2 (* (sqrt (/ 1 a)) b)))
(+ (sqrt a) (* b (+ (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (sqrt (/ 1 a))))))
(+ (sqrt a) (* b (+ (* 1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* 1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
(+ (* b (+ (* -1/4 (pow (/ 1 (pow a 3)) 1/4)) (* -3/32 (* (pow (/ 1 (pow a 7)) 1/4) b)))) (pow (* 1 a) 1/4))
(+ (* b (+ (* -1/4 (pow (/ 1 (pow a 3)) 1/4)) (* b (+ (* -3/32 (pow (/ 1 (pow a 7)) 1/4)) (* -7/128 (* (pow (/ 1 (pow a 11)) 1/4) b)))))) (pow (* 1 a) 1/4))
(+ (* b (+ (* -1/4 (pow (/ 1 a) 1/4)) (* 1/2 (pow (/ 1 a) 1/4)))) (pow (* 1 (pow a 3)) 1/4))
(+ (* b (+ (* -1/4 (pow (/ 1 a) 1/4)) (+ (* 1/2 (pow (/ 1 a) 1/4)) (* b (+ (* -1/4 (pow (/ 1 (pow a 5)) 1/4)) (* -3/32 (pow (/ 1 (pow a 5)) 1/4))))))) (pow (* 1 (pow a 3)) 1/4))
(+ (* b (+ (* -1/4 (pow (/ 1 a) 1/4)) (+ (* 1/2 (pow (/ 1 a) 1/4)) (* b (+ (* -1/4 (pow (/ 1 (pow a 5)) 1/4)) (+ (* -3/32 (pow (/ 1 (pow a 5)) 1/4)) (* b (+ (* -7/128 (pow (/ 1 (pow a 9)) 1/4)) (+ (* -3/64 (pow (/ 1 (pow a 9)) 1/4)) (+ (* 1/32 (pow (/ 1 (pow a 9)) 1/4)) (* 1/16 (pow (/ 1 (pow a 9)) 1/4)))))))))))) (pow (* 1 (pow a 3)) 1/4))
(+ (sqrt (/ 1 a)) (* b (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3/8 (* (sqrt (/ 1 (pow a 5))) b)))))
(+ (sqrt (/ 1 a)) (* b (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* b (+ (* -5/16 (* (sqrt (/ 1 (pow a 7))) b)) (* 3/8 (sqrt (/ 1 (pow a 5)))))))))
(* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))
(* b (+ (sqrt -1) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1)))))))
(* b (+ (sqrt -1) (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* (pow b 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1))))))))
(* b (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))
(* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
(* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))
(* b (- (/ a b) 1))
(* b (+ (sqrt (/ 1 b)) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))
(* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3))))))))
(* b (+ (sqrt (/ 1 b)) (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (pow a 3) (sqrt (/ 1 (pow b 7))))) (* 1/2 (* a (sqrt (/ 1 (pow b 3)))))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (* -1/4 (/ (* a (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) b)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/4 (/ (* a (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) b)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2)))) (pow b 2))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/4 (/ (* a (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) b)) (+ (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2)))) (pow b 2)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/12 (pow a 3)) (+ (* -1/384 (pow a 3)) (* 1/32 (pow a 3))))) (pow b 3)))))
(* (sqrt b) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))))
(* b (+ (* -1/4 (* (* a (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))))))
(* b (+ (* -1/4 (* (* a (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) (sqrt (/ 1 (pow b 3))))) (+ (* 1/2 (* (* a (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt (/ 1 b)) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) (* (sqrt (/ 1 (pow b 5))) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2)))))))))
(* b (+ (* -1/4 (* (* a (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) (sqrt (/ 1 (pow b 3))))) (+ (* -1/8 (* (* (pow a 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (* a (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt (/ 1 b)) (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b))))))) (+ (* (sqrt (/ 1 (pow b 5))) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2))))) (* (sqrt (/ 1 (pow b 7))) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 b)))))) (+ (* -1/12 (pow a 3)) (+ (* -1/384 (pow a 3)) (* 1/32 (pow a 3))))))))))))
(+ (sqrt (/ 1 b)) (+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (* (pow a 2) (sqrt (/ 1 (pow b 5)))))))
(+ (sqrt (/ 1 b)) (+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (+ (* -1/2 (* (sqrt (/ 1 (pow b 7))) (+ (* 1/4 (* (pow a 2) b)) (pow a 3)))) (* 1/2 (* (pow a 2) (sqrt (/ 1 (pow b 5))))))))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* b (sqrt -1)))) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* b (pow (sqrt -1) 3)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (sqrt -1)))) b)) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (* (sqrt b) (sqrt -1)))
(* -1 (* b (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
(* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))
(* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (* (pow a 3) (sqrt -1)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(* -1 (* (sqrt b) (pow (sqrt -1) 2)))
(* -1 (* b (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2))))))
(* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow b 3)) 1/4) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2))))) (* 1/4 (* (pow (* -1 b) 1/4) a))) b)) (pow (* -1 b) 1/4))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow b 3)) 1/4) (+ (* -1/32 (pow a 3)) (+ (* 1/384 (pow a 3)) (* 1/12 (pow a 3)))))) (* (pow (* -1 b) 1/4) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2))))) b)) (* 1/4 (* (pow (* -1 b) 1/4) a))) b)) (pow (* -1 b) 1/4))
(* -1 (* (pow (* -1 (pow b 3)) 1/4) (sqrt -1)))
(* -1 (* b (+ (* -1/4 (* (pow (/ -1 (pow b 5)) 1/4) (* a (sqrt -1)))) (* (pow (/ -1 b) 1/4) (sqrt -1)))))
(* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow (* -1 (pow b 3)) 1/4) (/ a (sqrt -1)))) (* (pow (/ -1 b) 1/4) (* (sqrt -1) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2)))))) b)) (* 1/4 (* (pow (/ -1 b) 1/4) (* a (sqrt -1))))) b)) (* (pow (/ -1 b) 1/4) (sqrt -1)))))
(* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (pow (* -1 (pow b 3)) 1/4) (/ (pow a 2) (sqrt -1)))) (* (pow (/ -1 b) 1/4) (* (sqrt -1) (+ (* -1/32 (pow a 3)) (+ (* 1/384 (pow a 3)) (* 1/12 (pow a 3))))))) b)) (+ (* 1/2 (* (pow (* -1 (pow b 3)) 1/4) (/ a (sqrt -1)))) (* (pow (/ -1 b) 1/4) (* (sqrt -1) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2))))))) b)) (* 1/4 (* (pow (/ -1 b) 1/4) (* a (sqrt -1))))) b)) (* (pow (/ -1 b) 1/4) (sqrt -1)))))
(* (sqrt (/ 1 b)) (pow (sqrt -1) 2))
(+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (+ (* 1/2 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (sqrt b))) (* 1/2 (* (sqrt (/ 1 b)) (+ (* -1/4 (/ (* (pow a 2) b) (pow (sqrt -1) 2))) (pow a 3))))) (pow b 3))) (+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2))))

Outputs
(* b (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b)
(+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) b (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) b))
(+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))
(fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 0 binary64) b) b)) (/.f64 a (.f64 (sqrt.f64 #s(literal -1 binary64)) b))) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) b)) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 0 binary64) b) b)) (pow.f64 b #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 0 binary64) b) b)) (sqrt.f64 #s(literal -1 binary64))))) a (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) b)) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(* (sqrt b) (sqrt -1))
(*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 b)))) (* (sqrt b) (sqrt -1)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
(+ (* a (+ (* -1/8 (* (/ a (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 3))))) (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))))) (* (sqrt b) (sqrt -1)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) a (.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
(+ (* a (+ (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ a (pow (sqrt -1) 5)) (sqrt (/ 1 (pow b 5))))))))) (* (sqrt b) (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64))))) #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 1/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) a (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 b) (sqrt.f64 #s(literal -1 binary64))))
(* -1 b)
(neg.f64 b)
(- a b)
(-.f64 a b)
(sqrt b)
(sqrt.f64 b)
(+ (sqrt b) (* 1/2 (* a (sqrt (/ 1 b)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 b))
(+ (sqrt b) (* a (+ (* -1/8 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (sqrt (/ 1 b))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 1/2 binary64))) a (sqrt.f64 b))
(+ (sqrt b) (* a (+ (* 1/2 (sqrt (/ 1 b))) (* a (+ (* -1/8 (sqrt (/ 1 (pow b 3)))) (* 1/16 (* a (sqrt (/ 1 (pow b 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1/8 binary64))) a (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal 1/2 binary64))) a (sqrt.f64 b))
(pow (* -1 b) 1/4)
(pow.f64 (neg.f64 b) #s(literal 1/4 binary64))
(+ (* -1/4 (* (pow (/ -1 (pow b 3)) 1/4) a)) (pow (* -1 b) 1/4))
(fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) a (pow.f64 (neg.f64 b) #s(literal 1/4 binary64)))
(+ (* a (+ (* -1/4 (pow (/ -1 (pow b 3)) 1/4)) (* -3/32 (* (pow (/ -1 (pow b 7)) 1/4) a)))) (pow (* -1 b) 1/4))
(fma.f64 (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 7 binary64))) #s(literal 1/4 binary64)) a) #s(literal -3/32 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)) #s(literal -1/4 binary64))) a (pow.f64 (neg.f64 b) #s(literal 1/4 binary64)))
(+ (* a (+ (* -1/4 (pow (/ -1 (pow b 3)) 1/4)) (* a (+ (* -3/32 (pow (/ -1 (pow b 7)) 1/4)) (* -7/128 (* (pow (/ -1 (pow b 11)) 1/4) a)))))) (pow (* -1 b) 1/4))
(fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 11 binary64))) #s(literal 1/4 binary64)) a) #s(literal -7/128 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 7 binary64))) #s(literal 1/4 binary64)) #s(literal -3/32 binary64))) a (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)) #s(literal -1/4 binary64))) a (pow.f64 (neg.f64 b) #s(literal 1/4 binary64)))
(pow (* -1 (pow b 3)) 1/4)
(pow.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64))
(+ (* a (+ (* -1/4 (pow (/ -1 b) 1/4)) (* 1/2 (pow (/ -1 b) 1/4)))) (pow (* -1 (pow b 3)) 1/4))
(fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) a (pow.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)))
(+ (* a (+ (* -1/4 (pow (/ -1 b) 1/4)) (+ (* 1/2 (pow (/ -1 b) 1/4)) (* a (+ (* -1/4 (pow (/ -1 (pow b 5)) 1/4)) (* -3/32 (pow (/ -1 (pow b 5)) 1/4))))))) (pow (* -1 (pow b 3)) 1/4))
(fma.f64 (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal -11/32 binary64)) a (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) a (pow.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)))
(+ (* a (+ (* -1/4 (pow (/ -1 b) 1/4)) (+ (* 1/2 (pow (/ -1 b) 1/4)) (* a (+ (* -1/4 (pow (/ -1 (pow b 5)) 1/4)) (+ (* -3/32 (pow (/ -1 (pow b 5)) 1/4)) (* a (+ (* -7/128 (pow (/ -1 (pow b 9)) 1/4)) (+ (* -3/64 (pow (/ -1 (pow b 9)) 1/4)) (+ (* 1/32 (pow (/ -1 (pow b 9)) 1/4)) (* 1/16 (pow (/ -1 (pow b 9)) 1/4)))))))))))) (pow (* -1 (pow b 3)) 1/4))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 9 binary64))) #s(literal 1/4 binary64)) #s(literal -13/128 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 9 binary64))) #s(literal 1/4 binary64)) #s(literal 3/32 binary64))) a (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal -11/32 binary64))) a (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) a (pow.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)))
(sqrt (/ 1 b))
(sqrt.f64 (/.f64 #s(literal 1 binary64) b))
(+ (sqrt (/ 1 b)) (* -1/2 (* a (sqrt (/ 1 (pow b 3))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))
(+ (sqrt (/ 1 b)) (* a (+ (* -1/2 (sqrt (/ 1 (pow b 3)))) (* 3/8 (* a (sqrt (/ 1 (pow b 5))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 3/8 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) a (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))
(+ (sqrt (/ 1 b)) (* a (+ (* -1/2 (sqrt (/ 1 (pow b 3)))) (* a (+ (* -5/16 (* a (sqrt (/ 1 (pow b 7))))) (* 3/8 (sqrt (/ 1 (pow b 5)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -5/16 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))) (.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))))) a (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))))) a (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))
a
(* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))
(+.f64 (/.f64 #s(literal 0 binary64) a) a)
(* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (fma.f64 (neg.f64 b) b #s(literal 0 binary64)) a) (/.f64 #s(literal 0 binary64) a)) a a)
(* a (+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 b) b #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (fma.f64 (neg.f64 b) b #s(literal 0 binary64)) a) (/.f64 #s(literal 0 binary64) a))) a a)
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 b b)) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) a)
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* -1/16 (* (sqrt (/ 1 (pow a 7))) (pow b 3)))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/2 binary64)) b (+.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/16 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 b b)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) a)
(* a (+ 1 (* -1 (/ b a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)
(* a (+ (sqrt (/ 1 a)) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b)))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 b b)) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) a)
(* a (+ (sqrt (/ 1 a)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (pow b 3))) (* 1/2 (* (sqrt (/ 1 (pow a 3))) b))))))
(.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 b b)) #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/16 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) a)
(pow (* 1 a) 1/4)
(pow.f64 a #s(literal 1/4 binary64))
(+ (* -1/4 (* (pow (/ 1 (pow a 3)) 1/4) b)) (pow (* 1 a) 1/4))
(fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/4 binary64)) b) #s(literal -1/4 binary64) (pow.f64 a #s(literal 1/4 binary64)))
(+ (* -1/4 (* (pow (/ 1 (pow a 3)) 1/4) b)) (+ (* (pow (/ 1 (pow a 7)) 1/4) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2)))) (pow (* 1 a) 1/4)))
(fma.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) b (fma.f64 (.f64 (*.f64 b b) #s(literal -3/32 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) #s(literal 1/4 binary64)) (pow.f64 a #s(literal 1/4 binary64))))
(+ (* -1/4 (* (pow (/ 1 (pow a 3)) 1/4) b)) (+ (* (pow (/ 1 (pow a 7)) 1/4) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2)))) (+ (* (pow (/ 1 (pow a 11)) 1/4) (+ (* -1/12 (pow b 3)) (+ (* -1/384 (pow b 3)) (* 1/32 (pow b 3))))) (pow (* 1 a) 1/4))))
(fma.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) b (fma.f64 (.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -7/128 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 11 binary64))) #s(literal 1/4 binary64)) (fma.f64 (.f64 (.f64 b b) #s(literal -3/32 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) #s(literal 1/4 binary64)) (pow.f64 a #s(literal 1/4 binary64)))))
(pow (* 1 (pow a 3)) 1/4)
(pow.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/4 binary64))
(* a (+ (* -1/4 (* (pow (/ 1 (pow a 5)) 1/4) b)) (pow (/ 1 a) 1/4)))
(.f64 (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) #s(literal 1/4 binary64)) b) #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/4 binary64))) a)
(* a (+ (* -1/4 (* (pow (/ 1 (pow a 5)) 1/4) b)) (+ (* 1/2 (* (pow (/ 1 (pow a 5)) 1/4) b)) (+ (* (pow (/ 1 (pow a 9)) 1/4) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2)))) (pow (/ 1 a) 1/4)))))
(.f64 (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) #s(literal 1/4 binary64)) b) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 9 binary64))) #s(literal 1/4 binary64)) (.f64 (.f64 b b) #s(literal -3/32 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/4 binary64)))) a)
(* a (+ (* -1/4 (* (pow (/ 1 (pow a 5)) 1/4) b)) (+ (* -1/8 (* (pow (/ 1 (pow a 9)) 1/4) (pow b 2))) (+ (* 1/2 (* (pow (/ 1 (pow a 5)) 1/4) b)) (+ (* (pow (/ 1 (pow a 9)) 1/4) (+ (* -1/8 (pow b 2)) (* 1/32 (pow b 2)))) (+ (* (pow (/ 1 (pow a 13)) 1/4) (+ (* -1/12 (pow b 3)) (+ (* -1/384 (pow b 3)) (* 1/32 (pow b 3))))) (pow (/ 1 a) 1/4)))))))
(.f64 (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) b (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 9 binary64))) #s(literal 1/4 binary64))) (.f64 b b) (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) #s(literal 1/4 binary64))) b (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 13 binary64))) #s(literal 1/4 binary64)) (.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -7/128 binary64)) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 9 binary64))) #s(literal 1/4 binary64)) (.f64 (.f64 b b) #s(literal -3/32 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/4 binary64))))))) a)
(sqrt (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (* (sqrt (/ 1 (pow a 5))) (pow b 2)))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 b b)) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) b) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
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(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 b))
(* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 a a) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 b))
(* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (* (pow a 3) (sqrt -1)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a a) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 b))
(* -1 (* b (+ 1 (* -1 (/ a b)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (neg.f64 b))
(* -1 (* (sqrt b) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 b) #s(literal 1 binary64))
(* -1 (* b (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))) (neg.f64 b))
(* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 a a) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64)))) (neg.f64 b))
(* -1 (* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 a a) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))))) (neg.f64 b))
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow b 3)) 1/4) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2))))) (* 1/4 (* (pow (* -1 b) 1/4) a))) b)) (pow (* -1 b) 1/4))
(-.f64 (pow.f64 (neg.f64 b) #s(literal 1/4 binary64)) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (neg.f64 b) #s(literal 1/4 binary64)) a) #s(literal 1/4 binary64)) (.f64 (.f64 (*.f64 a a) #s(literal -3/32 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)))) b))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow b 3)) 1/4) (+ (* -1/32 (pow a 3)) (+ (* 1/384 (pow a 3)) (* 1/12 (pow a 3)))))) (* (pow (* -1 b) 1/4) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2))))) b)) (* 1/4 (* (pow (* -1 b) 1/4) a))) b)) (pow (* -1 b) 1/4))
(-.f64 (pow.f64 (neg.f64 b) #s(literal 1/4 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (neg.f64 b) #s(literal 1/4 binary64))) a (/.f64 (fma.f64 (neg.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 7/128 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)) (.f64 (.f64 (*.f64 a a) #s(literal -3/32 binary64)) (pow.f64 (neg.f64 b) #s(literal 1/4 binary64)))) (neg.f64 b))) b))
(* -1 (* (pow (* -1 (pow b 3)) 1/4) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)))
(* -1 (* b (+ (* -1/4 (* (pow (/ -1 (pow b 5)) 1/4) (* a (sqrt -1)))) (* (pow (/ -1 b) 1/4) (sqrt -1)))))
(.f64 (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) a) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 b))
(* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow (* -1 (pow b 3)) 1/4) (/ a (sqrt -1)))) (* (pow (/ -1 b) 1/4) (* (sqrt -1) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2)))))) b)) (* 1/4 (* (pow (/ -1 b) 1/4) (* a (sqrt -1))))) b)) (* (pow (/ -1 b) 1/4) (sqrt -1)))))
(.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) a) (/.f64 (fma.f64 (.f64 (.f64 (.f64 a a) #s(literal -3/32 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1/4 binary64)) (.f64 (.f64 (pow.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)) (/.f64 a (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))) (neg.f64 b))) (neg.f64 b))) (neg.f64 b))
(* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (pow (* -1 (pow b 3)) 1/4) (/ (pow a 2) (sqrt -1)))) (* (pow (/ -1 b) 1/4) (* (sqrt -1) (+ (* -1/32 (pow a 3)) (+ (* 1/384 (pow a 3)) (* 1/12 (pow a 3))))))) b)) (+ (* 1/2 (* (pow (* -1 (pow b 3)) 1/4) (/ a (sqrt -1)))) (* (pow (/ -1 b) 1/4) (* (sqrt -1) (+ (* -1/8 (pow a 2)) (* 1/32 (pow a 2))))))) b)) (* 1/4 (* (pow (/ -1 b) 1/4) (* a (sqrt -1))))) b)) (* (pow (/ -1 b) 1/4) (sqrt -1)))))
(.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) a) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (.f64 a a) #s(literal -3/32 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1/4 binary64)) (.f64 (.f64 (pow.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64)) (/.f64 a (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))) (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 7/128 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1/4 binary64)) (.f64 (.f64 (*.f64 a (/.f64 a (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) #s(literal 1/4 binary64))) #s(literal 1/8 binary64))) b)) (neg.f64 b))) (neg.f64 b))) (neg.f64 b))
(* (sqrt (/ 1 b)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
(+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))
(fma.f64 (.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64)))
(+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (+ (* 1/2 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))))
(+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (sqrt b))) (* 1/2 (* (sqrt (/ 1 b)) (+ (* -1/4 (/ (* (pow a 2) b) (pow (sqrt -1) 2))) (pow a 3))))) (pow b 3))) (+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2))))
(fma.f64 (.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 b (/.f64 (.f64 a a) #s(literal -1 binary64))) #s(literal -1/4 binary64) (pow.f64 a #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 a a)) (sqrt.f64 b))) (neg.f64 (pow.f64 b #s(literal 3 binary64))))))

rewrite172.0ms (2.6%)

Memory

10.7MiB live, 209.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	79
0	31	71
1	101	61
2	560	61
3	6603	61
0	8727	61

Stop Event

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

Counts

10 → 555

Calls

Call 1

Inputs
#s(approx (sqrt (* (- a b) (+ b a))) a)
(*.f64 (sqrt.f64 (-.f64 a b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)))))
(sqrt.f64 (-.f64 a b))
(-.f64 a b)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64))))
(.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 b a))))
(pow.f64 (-.f64 a b) #s(literal 1/4 binary64))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 b a)))
(sqrt.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)))
(sqrt.f64 (+.f64 b a))

Outputs
#s(approx (sqrt (* (- a b) (+ b a))) a)
(.f64 (.f64 (*.f64 (pow.f64 (-.f64 a b) #s(literal 3/8 binary64)) (sqrt.f64 (+.f64 b a))) (pow.f64 (-.f64 a b) #s(literal 1/16 binary64))) (pow.f64 (-.f64 a b) #s(literal 1/16 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 a b) #s(literal 3/8 binary64)) (sqrt.f64 (+.f64 b a)))) (pow.f64 (-.f64 a b) #s(literal 1/8 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (-.f64 a b)) (pow.f64 (+.f64 b a) #s(literal 1/4 binary64))) (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (-.f64 a b) #s(literal 1/8 binary64))) (*.f64 (pow.f64 (-.f64 a b) #s(literal 3/8 binary64)) (sqrt.f64 (+.f64 b a))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (+.f64 b a)) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 a b)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 b a)))) #s(literal -1 binary64))
(*.f64 (/.f64 (pow.f64 (-.f64 a b) #s(literal 3/8 binary64)) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (-.f64 a b) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (-.f64 a b) #s(literal 3/8 binary64)) (pow.f64 (+.f64 b a) #s(literal -1/4 binary64))) (/.f64 (pow.f64 (-.f64 a b) #s(literal 1/8 binary64)) (pow.f64 (+.f64 b a) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 a b) #s(literal 1/8 binary64)) (pow.f64 (+.f64 b a) #s(literal -1/4 binary64))) (/.f64 (pow.f64 (-.f64 a b) #s(literal 3/8 binary64)) (pow.f64 (+.f64 b a) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (+.f64 b a) #s(literal -1/4 binary64))) (/.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (+.f64 b a) #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 b a) #s(literal -1/4 binary64))) (/.f64 (sqrt.f64 (-.f64 a b)) (pow.f64 (+.f64 b a) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 a b)) (pow.f64 (+.f64 b a) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 b a) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 a b)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (+.f64 b a))))
(.f64 (pow.f64 (-.f64 a b) #s(literal 3/8 binary64)) (.f64 (pow.f64 (-.f64 a b) #s(literal 1/8 binary64)) (sqrt.f64 (+.f64 b a))))
(.f64 (.f64 (pow.f64 (-.f64 a b) #s(literal 1/8 binary64)) (sqrt.f64 (+.f64 b a))) (/.f64 (pow.f64 (-.f64 a b) #s(literal 3/8 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (-.f64 a b) #s(literal 1/8 binary64)) (sqrt.f64 (+.f64 b a))) (pow.f64 (-.f64 a b) #s(literal 3/8 binary64)))
(.f64 (.f64 (pow.f64 (-.f64 a b) #s(literal 3/8 binary64)) (sqrt.f64 (+.f64 b a))) (pow.f64 (-.f64 a b) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) (.f64 (pow.f64 (+.f64 b a) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 a b))))
(.f64 (pow.f64 (-.f64 a b) #s(literal 1/16 binary64)) (.f64 (pow.f64 (-.f64 a b) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (-.f64 a b) #s(literal 3/8 binary64)) (sqrt.f64 (+.f64 b a)))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 a b))) (neg.f64 (sqrt.f64 (+.f64 b a))))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/8 binary64)) (/.f64 (pow.f64 (-.f64 a b) #s(literal 3/8 binary64)) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (-.f64 a b) #s(literal 1/8 binary64)) (.f64 (pow.f64 (-.f64 a b) #s(literal 3/8 binary64)) (sqrt.f64 (+.f64 b a))))
(.f64 (.f64 (sqrt.f64 (+.f64 b a)) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (+.f64 b a)) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64))) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 a b)))
(.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (+.f64 b a)) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (-.f64 a b)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 b a)))))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 (+.f64 b a))) (sqrt.f64 (-.f64 a b))))
(.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 b) b (.f64 a a))))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (.f64 a a))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) (fma.f64 (neg.f64 b) b (*.f64 a a))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 a b))) #s(literal -1 binary64))
(pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal 1/2 binary64))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 a b))) #s(literal -1 binary64)) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64)))
(/.f64 (.f64 (sqrt.f64 (.f64 (-.f64 b a) (+.f64 b a))) (sqrt.f64 (-.f64 a b))) (sqrt.f64 (-.f64 b a)))
(/.f64 (.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (-.f64 a b))) (sqrt.f64 (fma.f64 (-.f64 a b) a (.f64 b b))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (+.f64 b a))) (sqrt.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (.f64 a a))) (sqrt.f64 (+.f64 b a))) (sqrt.f64 (+.f64 b a)))
(/.f64 (.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (+.f64 b a) b (.f64 a a))))
(/.f64 (.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (fma.f64 (neg.f64 b) b (.f64 a a)))) (sqrt.f64 (+.f64 b a)))
(/.f64 (.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (.f64 (-.f64 b a) (+.f64 b a)))) (sqrt.f64 (-.f64 b a)))
(/.f64 (.f64 (sqrt.f64 (-.f64 a b)) (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (-.f64 a b) a (.f64 b b))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 a b)) (pow.f64 (+.f64 b a) #s(literal -1/4 binary64))) (pow.f64 (+.f64 b a) #s(literal -1/4 binary64)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
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(/.f64 (.f64 (sqrt.f64 (.f64 (-.f64 b a) (+.f64 b a))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 b a)))
(/.f64 (.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (-.f64 a b) a (.f64 b b))))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 b a) (+.f64 b a)))) (sqrt.f64 (-.f64 b a)))
(/.f64 (.f64 #s(literal 1 binary64) (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (-.f64 a b) a (.f64 b b))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 b a) #s(literal -1/4 binary64))) (pow.f64 (+.f64 b a) #s(literal -1/4 binary64)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 b a) (+.f64 b a)))) (neg.f64 (sqrt.f64 (-.f64 b a))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 b a) (+.f64 b a))) (sqrt.f64 (-.f64 b a)))
(/.f64 (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 (-.f64 a b) a (*.f64 b b))))
(/.f64 (sqrt.f64 (+.f64 b a)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 b a)) (sqrt.f64 (*.f64 (-.f64 b a) (+.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 a b) a (*.f64 b b))) (hypot.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 b a) #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 a a))) (sqrt.f64 (-.f64 a b)))
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 b a))))
(sqrt.f64 (+.f64 b a))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (+.f64 b a))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 b a))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 b a))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 b a))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 b a) #s(literal -1/2 binary64))) #s(literal -1 binary64)))

eval136.0ms (2.1%)

Memory: -9.1MiB live, 267.3MiB allocated
Compiler: Compiled 26 749 to 2 856 computations (89.3% saved)

prune15.0ms (0.2%)

Memory

-12.3MiB live, 66.0MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	872	1	873
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	873	6	879

Accuracy

100.0%

Counts

879 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 b a) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 a b))))
✓	99.4%	(*.f64 (sqrt.f64 (-.f64 a b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)))))
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
✓	52.4%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
✓	99.5%	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a))
✓	98.9%	#s(approx (sqrt (* (- a b) (+ b a))) a)

Compiler

Compiled 69 to 52 computations (24.6% saved)

simplify9.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 b a)
cost-diff	0	(pow.f64 (+.f64 b a) #s(literal -1/2 binary64))
cost-diff	0	(/.f64 (pow.f64 (+.f64 b a) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 a b)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 b a) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 a b))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	41
0	16	41
1	23	41
2	30	39
3	40	39
4	59	39
5	80	39
6	109	39
7	135	39
8	188	39
9	212	39
10	232	39
11	234	39
0	234	39

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize34.0ms (0.5%)

Memory

2.0MiB live, 86.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(pow.f64 (+.f64 b a) #s(literal -1/2 binary64))
accuracy	0.0078125	(sqrt.f64 (-.f64 a b))
accuracy	0.1796875	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 b a) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 a b))))
accuracy	0.36166000976844204	(/.f64 (pow.f64 (+.f64 b a) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 a b)))

Samples

27.0ms

256×

valid

Compiler

Compiled 84 to 22 computations (73.8% saved)

Precisions

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

ival-pow: 6.0ms (38% of total)

ival-div: 5.0ms (31.7% of total)

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

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

ival-sub: 1.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

-21.9MiB live, 17.6MiB allocated

Counts

5 → 92

Calls

Call 1

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

Outputs
(* b (sqrt -1))
(+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))
(/ (sqrt -1) b)
(+ (* -1/2 (/ (pow a 2) (* (pow b 3) (sqrt -1)))) (/ (sqrt -1) b))
(+ (* (pow a 2) (- (* -1/2 (/ (* (pow a 2) (* b (+ (* 1/4 (/ 1 (* (pow b 6) (pow (sqrt -1) 2)))) (/ 1 (pow b 6))))) (sqrt -1))) (* 1/2 (/ 1 (* (pow b 3) (sqrt -1)))))) (/ (sqrt -1) b))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/2 (/ (* b (+ (* 1/4 (/ 1 (* (pow b 6) (pow (sqrt -1) 2)))) (/ 1 (pow b 6)))) (sqrt -1))) (* -1/2 (/ (* (pow a 2) (* b (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow b 6) (pow (sqrt -1) 2)))) (/ 1 (pow b 6))) (* (pow b 2) (pow (sqrt -1) 2)))) (/ 1 (pow b 8))))) (sqrt -1))))) (* 1/2 (/ 1 (* (pow b 3) (sqrt -1)))))) (/ (sqrt -1) b))
(sqrt (/ 1 b))
(+ (sqrt (/ 1 b)) (* -1/2 (* a (sqrt (/ 1 (pow b 3))))))
(+ (sqrt (/ 1 b)) (* a (+ (* -1/2 (sqrt (/ 1 (pow b 3)))) (* 3/8 (* a (sqrt (/ 1 (pow b 5))))))))
(+ (sqrt (/ 1 b)) (* a (+ (* -1/2 (sqrt (/ 1 (pow b 3)))) (* a (+ (* -5/16 (* a (sqrt (/ 1 (pow b 7))))) (* 3/8 (sqrt (/ 1 (pow b 5)))))))))
b
(+ a b)
(* (sqrt b) (sqrt -1))
(+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 b)))) (* (sqrt b) (sqrt -1)))
(+ (* a (+ (* -1/8 (* (/ a (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 3))))) (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))))) (* (sqrt b) (sqrt -1)))
(+ (* a (+ (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ a (pow (sqrt -1) 5)) (sqrt (/ 1 (pow b 5))))))))) (* (sqrt b) (sqrt -1)))
a
(* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))
(* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(* a (+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))))
(/ 1 a)
(/ (+ 1 (* -1/2 (/ (+ b (* -1 b)) a))) a)
(/ (+ 1 (+ (* -1/2 (/ (+ b (* -1 b)) a)) (* -1/2 (/ (+ (* -1 (pow b 2)) (+ (* -1 (pow (+ b (* -1 b)) 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 2))))) a)
(/ (+ 1 (+ (* -1/2 (/ (+ b (* -1 b)) a)) (+ (* -1/2 (/ (+ (* -1 (* (+ b (* -1 b)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))))) (+ (* 1/2 (* (+ b (* -1 b)) (+ (* -1 (pow b 2)) (+ (* -1 (pow (+ b (* -1 b)) 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))))) (* (pow b 2) (+ b (* -1 b))))) (pow a 3))) (* -1/2 (/ (+ (* -1 (pow b 2)) (+ (* -1 (pow (+ b (* -1 b)) 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 2)))))) a)
(sqrt (/ 1 a))
(+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)))
(+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (* (sqrt (/ 1 (pow a 5))) (pow b 2)))))
(+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 7))) (+ (* 1/4 (* a (pow b 2))) (pow b 3)))) (* 1/2 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))
(* a (+ 1 (/ b a)))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* -1/16 (* (sqrt (/ 1 (pow a 7))) (pow b 3)))))))
(* -1 (* a (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
(/ -1 a)
(* -1 (/ (+ 1 (* 1/2 (/ (+ b (* -1 b)) (* a (pow (sqrt -1) 2))))) a))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/2 (/ (+ b (* -1 b)) (pow (sqrt -1) 2))) (* 1/2 (/ (+ (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))) (+ (pow b 2) (pow (+ b (* -1 b)) 2))) (* a (pow (sqrt -1) 2))))) a))) a))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))) (+ (pow b 2) (pow (+ b (* -1 b)) 2))) (pow (sqrt -1) 2))) (* 1/2 (/ (+ (* 1/2 (/ (* (+ b (* -1 b)) (+ (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))) (+ (pow b 2) (pow (+ b (* -1 b)) 2)))) (pow (sqrt -1) 2))) (+ (* (+ b (* -1 b)) (+ (pow b 2) (pow (+ b (* -1 b)) 2))) (* (pow b 2) (+ b (* -1 b))))) (* a (pow (sqrt -1) 2))))) a)) (* -1/2 (/ (+ b (* -1 b)) (pow (sqrt -1) 2)))) a))) a))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt a) (pow b 2))) (* 1/2 (* (sqrt (/ 1 a)) (+ (* -1/4 (/ (* a (pow b 2)) (pow (sqrt -1) 2))) (pow b 3))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (* (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (* (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (* (pow b 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))
(+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))
(+ a (* b (+ (* 1/2 (/ (+ a (* -1 a)) a)) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) a)) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 3))))))))
(+ (* 1/2 (/ (pow b 2) (pow a 3))) (/ 1 a))
(+ (* (pow b 2) (+ (* 3/8 (/ (pow b 2) (pow a 5))) (* 1/2 (/ 1 (pow a 3))))) (/ 1 a))
(+ (* (pow b 2) (+ (* (pow b 2) (+ (* 5/16 (/ (pow b 2) (pow a 7))) (* 3/8 (/ 1 (pow a 5))))) (* 1/2 (/ 1 (pow a 3))))) (/ 1 a))
(+ (sqrt (/ 1 a)) (* b (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3/8 (* (sqrt (/ 1 (pow a 5))) b)))))
(+ (sqrt (/ 1 a)) (* b (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* b (+ (* -5/16 (* (sqrt (/ 1 (pow a 7))) b)) (* 3/8 (sqrt (/ 1 (pow a 5)))))))))
(+ (sqrt a) (* -1/2 (* (sqrt (/ 1 a)) b)))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)))))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* -1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
(* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))
(* b (+ (sqrt -1) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1)))))))
(* b (+ (sqrt -1) (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* (pow b 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1))))))))
(/ (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))) b)
(/ (+ (sqrt -1) (+ (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* -1/2 (/ (+ (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (* (pow b 2) (sqrt -1)))))) b)
(/ (+ (sqrt -1) (+ (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (+ (* -1/2 (/ (+ (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (* (pow b 2) (sqrt -1)))) (* -1/2 (/ (+ (* 1/2 (/ (* (+ a (* -1 a)) (+ (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))) (+ (pow a 2) (pow (+ a (* -1 a)) 2)))) (pow (sqrt -1) 2))) (+ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (* (pow a 2) (+ a (* -1 a))))) (* (pow b 3) (sqrt -1))))))) b)
(+ (sqrt (/ 1 b)) (+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (* (pow a 2) (sqrt (/ 1 (pow b 5)))))))
(+ (sqrt (/ 1 b)) (+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (+ (* -1/2 (* (sqrt (/ 1 (pow b 7))) (+ (* 1/4 (* (pow a 2) b)) (pow a 3)))) (* 1/2 (* (pow a 2) (sqrt (/ 1 (pow b 5))))))))
(* b (+ 1 (/ a b)))
(* b (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))
(* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
(* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* b (sqrt -1)))) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* b (pow (sqrt -1) 3)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (sqrt -1)))) b)) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (/ (sqrt -1) b))
(* -1 (/ (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))) b))
(* -1 (/ (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (+ a (* -1 a)) (sqrt -1))) (* 1/2 (/ (+ (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (* b (sqrt -1))))) b))) b))
(* -1 (/ (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (sqrt -1))) (* 1/2 (/ (+ (* 1/2 (/ (* (+ a (* -1 a)) (+ (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))) (+ (pow a 2) (pow (+ a (* -1 a)) 2)))) (pow (sqrt -1) 2))) (+ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (* (pow a 2) (+ a (* -1 a))))) (* b (sqrt -1))))) b)) (* -1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b))) b))
(* (sqrt (/ 1 b)) (pow (sqrt -1) 2))
(+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (+ (* 1/2 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (sqrt b))) (* 1/2 (* (sqrt (/ 1 b)) (+ (* -1/4 (/ (* (pow a 2) b) (pow (sqrt -1) 2))) (pow a 3))))) (pow b 3))) (+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* (sqrt b) (sqrt -1)))
(* -1 (* b (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
(* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))
(* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (* (pow a 3) (sqrt -1)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	((/ 1 (/ (pow (+ b a) -1/2) (sqrt (- a b)))) (/ (pow (+ b a) -1/2) (sqrt (- a b))) (pow (+ b a) -1/2) (+ b a) (sqrt (- a b)))
2.0ms	a	@	-inf	((/ 1 (/ (pow (+ b a) -1/2) (sqrt (- a b)))) (/ (pow (+ b a) -1/2) (sqrt (- a b))) (pow (+ b a) -1/2) (+ b a) (sqrt (- a b)))
1.0ms	b	@	inf	((/ 1 (/ (pow (+ b a) -1/2) (sqrt (- a b)))) (/ (pow (+ b a) -1/2) (sqrt (- a b))) (pow (+ b a) -1/2) (+ b a) (sqrt (- a b)))
1.0ms	a	@	inf	((/ 1 (/ (pow (+ b a) -1/2) (sqrt (- a b)))) (/ (pow (+ b a) -1/2) (sqrt (- a b))) (pow (+ b a) -1/2) (+ b a) (sqrt (- a b)))
1.0ms	b	@	-inf	((/ 1 (/ (pow (+ b a) -1/2) (sqrt (- a b)))) (/ (pow (+ b a) -1/2) (sqrt (- a b))) (pow (+ b a) -1/2) (+ b a) (sqrt (- a b)))

simplify142.0ms (2.2%)

Memory

0.3MiB live, 190.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	578	2852
1	1875	2007
0	8166	1875

Stop Event

1×	iter limit
1×	node limit

Counts

92 → 90

Calls

Call 1

Inputs
(* b (sqrt -1))
(+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))
(/ (sqrt -1) b)
(+ (* -1/2 (/ (pow a 2) (* (pow b 3) (sqrt -1)))) (/ (sqrt -1) b))
(+ (* (pow a 2) (- (* -1/2 (/ (* (pow a 2) (* b (+ (* 1/4 (/ 1 (* (pow b 6) (pow (sqrt -1) 2)))) (/ 1 (pow b 6))))) (sqrt -1))) (* 1/2 (/ 1 (* (pow b 3) (sqrt -1)))))) (/ (sqrt -1) b))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/2 (/ (* b (+ (* 1/4 (/ 1 (* (pow b 6) (pow (sqrt -1) 2)))) (/ 1 (pow b 6)))) (sqrt -1))) (* -1/2 (/ (* (pow a 2) (* b (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow b 6) (pow (sqrt -1) 2)))) (/ 1 (pow b 6))) (* (pow b 2) (pow (sqrt -1) 2)))) (/ 1 (pow b 8))))) (sqrt -1))))) (* 1/2 (/ 1 (* (pow b 3) (sqrt -1)))))) (/ (sqrt -1) b))
(sqrt (/ 1 b))
(+ (sqrt (/ 1 b)) (* -1/2 (* a (sqrt (/ 1 (pow b 3))))))
(+ (sqrt (/ 1 b)) (* a (+ (* -1/2 (sqrt (/ 1 (pow b 3)))) (* 3/8 (* a (sqrt (/ 1 (pow b 5))))))))
(+ (sqrt (/ 1 b)) (* a (+ (* -1/2 (sqrt (/ 1 (pow b 3)))) (* a (+ (* -5/16 (* a (sqrt (/ 1 (pow b 7))))) (* 3/8 (sqrt (/ 1 (pow b 5)))))))))
b
(+ a b)
(* (sqrt b) (sqrt -1))
(+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 b)))) (* (sqrt b) (sqrt -1)))
(+ (* a (+ (* -1/8 (* (/ a (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 3))))) (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))))) (* (sqrt b) (sqrt -1)))
(+ (* a (+ (* 1/2 (* (sqrt (/ 1 b)) (/ 1 (sqrt -1)))) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ a (pow (sqrt -1) 5)) (sqrt (/ 1 (pow b 5))))))))) (* (sqrt b) (sqrt -1)))
a
(* a (+ 1 (* 1/2 (/ (+ b (* -1 b)) a))))
(* a (+ 1 (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2))))))
(* a (+ 1 (+ (* -1/4 (/ (* (+ b (* -1 b)) (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 3))) (+ (* 1/2 (/ (+ b (* -1 b)) a)) (* 1/2 (/ (- (* -1 (pow b 2)) (* 1/4 (pow (+ b (* -1 b)) 2))) (pow a 2)))))))
(/ 1 a)
(/ (+ 1 (* -1/2 (/ (+ b (* -1 b)) a))) a)
(/ (+ 1 (+ (* -1/2 (/ (+ b (* -1 b)) a)) (* -1/2 (/ (+ (* -1 (pow b 2)) (+ (* -1 (pow (+ b (* -1 b)) 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 2))))) a)
(/ (+ 1 (+ (* -1/2 (/ (+ b (* -1 b)) a)) (+ (* -1/2 (/ (+ (* -1 (* (+ b (* -1 b)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))))) (+ (* 1/2 (* (+ b (* -1 b)) (+ (* -1 (pow b 2)) (+ (* -1 (pow (+ b (* -1 b)) 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))))) (* (pow b 2) (+ b (* -1 b))))) (pow a 3))) (* -1/2 (/ (+ (* -1 (pow b 2)) (+ (* -1 (pow (+ b (* -1 b)) 2)) (* 1/4 (pow (+ b (* -1 b)) 2)))) (pow a 2)))))) a)
(sqrt (/ 1 a))
(+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)))
(+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* 1/2 (* (sqrt (/ 1 (pow a 5))) (pow b 2)))))
(+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 7))) (+ (* 1/4 (* a (pow b 2))) (pow b 3)))) (* 1/2 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))
(* a (+ 1 (/ b a)))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/2 (* (sqrt (/ 1 (pow a 3))) b))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* -1/16 (* (sqrt (/ 1 (pow a 7))) (pow b 3)))))))
(* -1 (* a (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1/2 (/ (+ b (* -1 b)) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ b (* -1 b)) (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))))) (* a (pow (sqrt -1) 2)))) (* 1/2 (- (pow b 2) (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2)))))) a)) (* 1/2 (+ b (* -1 b)))) a)) (pow (sqrt -1) 2))))
(/ -1 a)
(* -1 (/ (+ 1 (* 1/2 (/ (+ b (* -1 b)) (* a (pow (sqrt -1) 2))))) a))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/2 (/ (+ b (* -1 b)) (pow (sqrt -1) 2))) (* 1/2 (/ (+ (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))) (+ (pow b 2) (pow (+ b (* -1 b)) 2))) (* a (pow (sqrt -1) 2))))) a))) a))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))) (+ (pow b 2) (pow (+ b (* -1 b)) 2))) (pow (sqrt -1) 2))) (* 1/2 (/ (+ (* 1/2 (/ (* (+ b (* -1 b)) (+ (* 1/4 (/ (pow (+ b (* -1 b)) 2) (pow (sqrt -1) 2))) (+ (pow b 2) (pow (+ b (* -1 b)) 2)))) (pow (sqrt -1) 2))) (+ (* (+ b (* -1 b)) (+ (pow b 2) (pow (+ b (* -1 b)) 2))) (* (pow b 2) (+ b (* -1 b))))) (* a (pow (sqrt -1) 2))))) a)) (* -1/2 (/ (+ b (* -1 b)) (pow (sqrt -1) 2)))) a))) a))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 5))) (pow b 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt a) (pow b 2))) (* 1/2 (* (sqrt (/ 1 a)) (+ (* -1/4 (/ (* a (pow b 2)) (pow (sqrt -1) 2))) (pow b 3))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) b)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (* (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (pow a 5))) (* (pow b 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow a 7))) (* (pow b 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (* b (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(+ a (* 1/2 (/ (* b (+ a (* -1 a))) a)))
(+ a (* b (+ (* -1/2 (/ (* b (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2))))) a)) (* 1/2 (/ (+ a (* -1 a)) a)))))
(+ a (* b (+ (* 1/2 (/ (+ a (* -1 a)) a)) (* b (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) a)) (* 1/4 (/ (* b (* (+ 1 (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow a 2)))) (+ a (* -1 a)))) (pow a 3))))))))
(+ (* 1/2 (/ (pow b 2) (pow a 3))) (/ 1 a))
(+ (* (pow b 2) (+ (* 3/8 (/ (pow b 2) (pow a 5))) (* 1/2 (/ 1 (pow a 3))))) (/ 1 a))
(+ (* (pow b 2) (+ (* (pow b 2) (+ (* 5/16 (/ (pow b 2) (pow a 7))) (* 3/8 (/ 1 (pow a 5))))) (* 1/2 (/ 1 (pow a 3))))) (/ 1 a))
(+ (sqrt (/ 1 a)) (* b (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3/8 (* (sqrt (/ 1 (pow a 5))) b)))))
(+ (sqrt (/ 1 a)) (* b (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* b (+ (* -5/16 (* (sqrt (/ 1 (pow a 7))) b)) (* 3/8 (sqrt (/ 1 (pow a 5)))))))))
(+ (sqrt a) (* -1/2 (* (sqrt (/ 1 a)) b)))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* -1/8 (* (sqrt (/ 1 (pow a 3))) b)))))
(+ (sqrt a) (* b (+ (* -1/2 (sqrt (/ 1 a))) (* b (+ (* -1/8 (sqrt (/ 1 (pow a 3)))) (* -1/16 (* (sqrt (/ 1 (pow a 5))) b)))))))
(* b (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))))
(* b (+ (sqrt -1) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1)))))))
(* b (+ (sqrt -1) (+ (* -1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* (pow b 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* (pow b 2) (sqrt -1))))))))
(/ (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))) b)
(/ (+ (sqrt -1) (+ (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* -1/2 (/ (+ (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (* (pow b 2) (sqrt -1)))))) b)
(/ (+ (sqrt -1) (+ (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (+ (* -1/2 (/ (+ (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (* (pow b 2) (sqrt -1)))) (* -1/2 (/ (+ (* 1/2 (/ (* (+ a (* -1 a)) (+ (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))) (+ (pow a 2) (pow (+ a (* -1 a)) 2)))) (pow (sqrt -1) 2))) (+ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (* (pow a 2) (+ a (* -1 a))))) (* (pow b 3) (sqrt -1))))))) b)
(+ (sqrt (/ 1 b)) (+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (* (pow a 2) (sqrt (/ 1 (pow b 5)))))))
(+ (sqrt (/ 1 b)) (+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (+ (* -1/2 (* (sqrt (/ 1 (pow b 7))) (+ (* 1/4 (* (pow a 2) b)) (pow a 3)))) (* 1/2 (* (pow a 2) (sqrt (/ 1 (pow b 5))))))))
(* b (+ 1 (/ a b)))
(* b (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))
(* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
(* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))
(* -1 (* b (sqrt -1)))
(* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* b (sqrt -1)))) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* b (pow (sqrt -1) 3)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (sqrt -1)))) b)) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(* -1 (/ (sqrt -1) b))
(* -1 (/ (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))) b))
(* -1 (/ (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (+ a (* -1 a)) (sqrt -1))) (* 1/2 (/ (+ (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (* b (sqrt -1))))) b))) b))
(* -1 (/ (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (sqrt -1))) (* 1/2 (/ (+ (* 1/2 (/ (* (+ a (* -1 a)) (+ (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))) (+ (pow a 2) (pow (+ a (* -1 a)) 2)))) (pow (sqrt -1) 2))) (+ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (* (pow a 2) (+ a (* -1 a))))) (* b (sqrt -1))))) b)) (* -1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b))) b))
(* (sqrt (/ 1 b)) (pow (sqrt -1) 2))
(+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (+ (* 1/2 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (sqrt b))) (* 1/2 (* (sqrt (/ 1 b)) (+ (* -1/4 (/ (* (pow a 2) b) (pow (sqrt -1) 2))) (pow a 3))))) (pow b 3))) (+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* (sqrt b) (sqrt -1)))
(* -1 (* b (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
(* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))
(* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (* (pow a 3) (sqrt -1)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))))

Outputs
(* b (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b)
(+ (* 1/2 (/ (* a (+ b (* -1 b))) (* b (sqrt -1)))) (* b (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) b (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)))
(+ (* a (+ (* 1/2 (/ (* a (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2)))))) (* b (sqrt -1)))) (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))))) (* b (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) b (fma.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 0 binary64) b) b)) (/.f64 a (.f64 (sqrt.f64 #s(literal -1 binary64)) b))) (/.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) b))))
(+ (* a (+ (* 1/2 (/ (+ b (* -1 b)) (* b (sqrt -1)))) (* a (+ (* -1/4 (/ (* a (* (+ b (* -1 b)) (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))))) (* (pow b 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ b (* -1 b)) 2) (* (pow b 2) (pow (sqrt -1) 2))))) (* b (sqrt -1)))))))) (* b (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 0 binary64) b) b)) (.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) b))) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(/ (sqrt -1) b)
(/.f64 (sqrt.f64 #s(literal -1 binary64)) b)
(+ (* -1/2 (/ (pow a 2) (* (pow b 3) (sqrt -1)))) (/ (sqrt -1) b))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 3 binary64))) (*.f64 a (/.f64 a (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(+ (* (pow a 2) (- (* -1/2 (/ (* (pow a 2) (* b (+ (* 1/4 (/ 1 (* (pow b 6) (pow (sqrt -1) 2)))) (/ 1 (pow b 6))))) (sqrt -1))) (* 1/2 (/ 1 (* (pow b 3) (sqrt -1)))))) (/ (sqrt -1) b))
(fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 b #s(literal 6 binary64))) b (/.f64 b (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 a a) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 a a) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/2 (/ (* b (+ (* 1/4 (/ 1 (* (pow b 6) (pow (sqrt -1) 2)))) (/ 1 (pow b 6)))) (sqrt -1))) (* -1/2 (/ (* (pow a 2) (* b (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow b 6) (pow (sqrt -1) 2)))) (/ 1 (pow b 6))) (* (pow b 2) (pow (sqrt -1) 2)))) (/ 1 (pow b 8))))) (sqrt -1))))) (* 1/2 (/ 1 (* (pow b 3) (sqrt -1)))))) (/ (sqrt -1) b))
(fma.f64 (fma.f64 (.f64 (.f64 a a) #s(literal -1/2 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 b #s(literal 6 binary64)))) (.f64 b b)) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 8 binary64)))) b) (.f64 a (/.f64 a (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 b #s(literal 6 binary64))) b (/.f64 b (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 a a) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b))
(sqrt (/ 1 b))
(sqrt.f64 (/.f64 #s(literal 1 binary64) b))
(+ (sqrt (/ 1 b)) (* -1/2 (* a (sqrt (/ 1 (pow b 3))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)))
(+ (sqrt (/ 1 b)) (* a (+ (* -1/2 (sqrt (/ 1 (pow b 3)))) (* 3/8 (* a (sqrt (/ 1 (pow b 5))))))))
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a
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(/ (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))) b)
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) (sqrt.f64 #s(literal -1 binary64))) b)
(/ (+ (sqrt -1) (+ (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (* -1/2 (/ (+ (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (* (pow b 2) (sqrt -1)))))) b)
(/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b)) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))) (sqrt.f64 #s(literal -1 binary64))) b)
(/ (+ (sqrt -1) (+ (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))) (+ (* -1/2 (/ (+ (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (* (pow b 2) (sqrt -1)))) (* -1/2 (/ (+ (* 1/2 (/ (* (+ a (* -1 a)) (+ (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))) (+ (pow a 2) (pow (+ a (* -1 a)) 2)))) (pow (sqrt -1) 2))) (+ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (* (pow a 2) (+ a (* -1 a))))) (* (pow b 3) (sqrt -1))))))) b)
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) b)) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b))) #s(literal -1/2 binary64) (+.f64 (/.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))) b)
(+ (sqrt (/ 1 b)) (+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (* 1/2 (* (pow a 2) (sqrt (/ 1 (pow b 5)))))))
(fma.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))
(+ (sqrt (/ 1 b)) (+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (+ (* -1/2 (* (sqrt (/ 1 (pow b 7))) (+ (* 1/4 (* (pow a 2) b)) (pow a 3)))) (* 1/2 (* (pow a 2) (sqrt (/ 1 (pow b 5))))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) a (.f64 (fma.f64 (.f64 (.f64 a a) b) #s(literal 1/4 binary64) (pow.f64 a #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))))) (fma.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b))))
(* b (+ 1 (/ a b)))
(fma.f64 (/.f64 a b) b b)
(* b (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))
(.f64 (fma.f64 (.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))) b)
(* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 (.f64 a (/.f64 a (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))) b)
(* b (+ (* -1/8 (* (/ (pow a 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* (/ a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))) (fma.f64 (.f64 (.f64 a (/.f64 a (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (.f64 (/.f64 a (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))))) b)
(* -1 (* b (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) b)
(* -1 (* b (+ (sqrt -1) (* -1/2 (/ (+ a (* -1 a)) (* b (sqrt -1)))))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) b (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (* b (sqrt -1)))) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(*.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 a a #s(literal 0 binary64)) b) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) b)) (neg.f64 b))
(* -1 (* b (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ a (* -1 a)) (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))))) (* b (pow (sqrt -1) 3)))) (* 1/2 (/ (- (pow a 2) (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2)))) (sqrt -1)))) b)) (* 1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b)))))
(.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) b))) b)) b)) (neg.f64 b))
(* -1 (/ (sqrt -1) b))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) b)
(* -1 (/ (+ (sqrt -1) (* 1/2 (/ (+ a (* -1 a)) (* b (sqrt -1))))) b))
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 b))
(* -1 (/ (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (+ a (* -1 a)) (sqrt -1))) (* 1/2 (/ (+ (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (* b (sqrt -1))))) b))) b))
(/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 a a #s(literal 0 binary64)) b) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) b)) (neg.f64 b))
(* -1 (/ (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (sqrt -1))) (* 1/2 (/ (+ (* 1/2 (/ (* (+ a (* -1 a)) (+ (* 1/4 (/ (pow (+ a (* -1 a)) 2) (pow (sqrt -1) 2))) (+ (pow a 2) (pow (+ a (* -1 a)) 2)))) (pow (sqrt -1) 2))) (+ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (* (pow a 2) (+ a (* -1 a))))) (* b (sqrt -1))))) b)) (* -1/2 (/ (+ a (* -1 a)) (sqrt -1)))) b))) b))
(/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 (fma.f64 a a #s(literal 0 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b))) b)) b)) (neg.f64 b))
(* (sqrt (/ 1 b)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
(+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2)))
(fma.f64 (.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64)))
(+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (+ (* 1/2 (* (pow a 2) (sqrt (/ 1 (pow b 5))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2))))
(fma.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))))
(+ (* -1 (/ (+ (* -1/2 (* (pow a 2) (sqrt b))) (* 1/2 (* (sqrt (/ 1 b)) (+ (* -1/4 (/ (* (pow a 2) b) (pow (sqrt -1) 2))) (pow a 3))))) (pow b 3))) (+ (* -1/2 (* a (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (pow (sqrt -1) 2))))
(-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 a a) b) #s(literal -1 binary64)) #s(literal -1/4 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 b)) (.f64 a a))) (pow.f64 b #s(literal 3 binary64))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(*.f64 (fma.f64 (/.f64 a b) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 b))
(* -1 (* (sqrt b) (sqrt -1)))
(*.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* b (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) a) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 b))
(* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) a) a) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) a) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 b))
(* -1 (* b (+ (* -1/8 (* (* (pow a 2) (sqrt -1)) (sqrt (/ 1 (pow b 5))))) (+ (* 1/16 (* (* (pow a 3) (sqrt -1)) (sqrt (/ 1 (pow b 7))))) (+ (* 1/2 (* (* a (sqrt -1)) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 b)) (sqrt -1)))))))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 7 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) a) a) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) a) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 b))

rewrite164.0ms (2.5%)

Memory

-8.4MiB live, 243.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	34
0	16	34
1	69	32
2	395	29
3	4059	29
0	8320	29

Stop Event

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

Counts

5 → 399

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (-.f64 a b))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 a b)))
(.f64 (.f64 (neg.f64 (sqrt.f64 (+.f64 a b))) #s(literal -1 binary64)) (sqrt.f64 (-.f64 a b)))
(.f64 (.f64 (sqrt.f64 (+.f64 a b)) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64))) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 a b) #s(literal -1/4 binary64))) (/.f64 (sqrt.f64 (-.f64 a b)) (neg.f64 (pow.f64 (+.f64 a b) #s(literal -1/4 binary64)))))
(*.f64 (/.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (+.f64 a b) #s(literal -1/4 binary64))) (/.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (+.f64 a b) #s(literal -1/4 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 a b))) (/.f64 (neg.f64 (sqrt.f64 (-.f64 a b))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 a b))) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 a b))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 a b))) (neg.f64 (sqrt.f64 (-.f64 a b))))
(.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 a b))))
(.f64 (.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 a b))) (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (+.f64 a b) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 a b))))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (.f64 a a)))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (.f64 a a))) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 a b))) (neg.f64 (sqrt.f64 (+.f64 a b))))
(.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (.f64 a a)))))
(*.f64 (sqrt.f64 (-.f64 a b)) (/.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 a b)))
(.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 b) b (.f64 a a))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 (neg.f64 b) b (.f64 a a)))))
(pow.f64 (*.f64 (+.f64 a b) (exp.f64 (log.f64 (-.f64 a b)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (pow.f64 (-.f64 a b) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 a b) #s(literal 2 binary64)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (exp.f64 (log.f64 (-.f64 a b))) (+.f64 a b)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (.f64 a a))) (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 a b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (+.f64 a b) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 a a))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 a b))) (pow.f64 (+.f64 a b) #s(literal -1/8 binary64))) (pow.f64 (+.f64 a b) #s(literal -1/8 binary64)))
(/.f64 (/.f64 (sqrt.f64 (+.f64 a b)) #s(literal 1 binary64)) (pow.f64 (-.f64 a b) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 a b))) (pow.f64 (+.f64 a b) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (+.f64 a b) #s(literal -1/4 binary64))))
(/.f64 (.f64 (.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 a b))) #s(literal 1 binary64)) (pow.f64 (+.f64 a b) #s(literal -1/4 binary64)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (.f64 a a))) (sqrt.f64 (+.f64 a b))) (sqrt.f64 (+.f64 a b)))
(/.f64 (.f64 (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))) (sqrt.f64 (+.f64 a b))) (sqrt.f64 (fma.f64 (+.f64 a b) b (.f64 a a))))
(/.f64 (.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (fma.f64 (neg.f64 b) b (.f64 a a)))) (sqrt.f64 (+.f64 a b)))
(/.f64 (.f64 (sqrt.f64 (+.f64 a b)) (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (+.f64 a b) b (.f64 a a))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 a b)))) (pow.f64 (+.f64 a b) #s(literal -1/4 binary64)))
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(/.f64 (.f64 (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (neg.f64 b) b (.f64 a a)))) (pow.f64 (+.f64 a b) #s(literal 1/4 binary64)))
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(/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 a b) a (.f64 b b)) #s(literal -1 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 a #s(literal 9 binary64)) (pow.f64 b #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 a b) a (.f64 b b)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (*.f64 a b) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 b (/.f64 b (-.f64 b a))) #s(literal 2 binary64)) (pow.f64 (.f64 a (/.f64 a (-.f64 b a))) #s(literal 2 binary64))) (fma.f64 b (/.f64 b (-.f64 b a)) (*.f64 a (/.f64 a (-.f64 b a)))))
(/.f64 (-.f64 (pow.f64 (.f64 b (/.f64 b (-.f64 b a))) #s(literal 3 binary64)) (pow.f64 (.f64 a (/.f64 a (-.f64 b a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 b (/.f64 b (-.f64 b a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 a (/.f64 a (-.f64 b a))) #s(literal 2 binary64)) (.f64 (.f64 b (/.f64 b (-.f64 b a))) (*.f64 a (/.f64 a (-.f64 b a)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)))))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 a b) a (.f64 b b)))
(/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 a a (*.f64 b b)) (-.f64 b a)))
(/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 a a) (fma.f64 a a (.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (-.f64 b a)))
(/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b))))
(/.f64 (.f64 (+.f64 (pow.f64 a #s(literal 9 binary64)) (pow.f64 b #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (.f64 a b) #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (.f64 b b))))
(/.f64 (-.f64 (.f64 (.f64 b b) (-.f64 b a)) (.f64 (-.f64 b a) (.f64 a a))) (pow.f64 (-.f64 b a) #s(literal 2 binary64)))
(/.f64 (exp.f64 (log.f64 (*.f64 (-.f64 b a) (+.f64 a b)))) (exp.f64 (log.f64 (-.f64 b a))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 (-.f64 a b) a (*.f64 b b)))))
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 a b) b (.f64 a a)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 (-.f64 a b) (fma.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (.f64 (-.f64 b a) (fma.f64 a a (.f64 b b))))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (-.f64 a b) (fma.f64 a a (.f64 b b))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (.f64 (-.f64 b a) (fma.f64 (.f64 a a) (fma.f64 a a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (.f64 (fma.f64 (-.f64 a b) a (.f64 b b)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 a #s(literal 9 binary64)) (pow.f64 b #s(literal 9 binary64))) (.f64 (fma.f64 (-.f64 a b) a (.f64 b b)) (-.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (*.f64 a b) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 a b) a (*.f64 b b))))
(/.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)) (-.f64 a b))
(/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (neg.f64 (-.f64 a b)))
(/.f64 (*.f64 (-.f64 b a) (+.f64 a b)) (-.f64 b a))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 a b) a (*.f64 b b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 a b) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 a b) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (+.f64 a b)))
(fma.f64 (/.f64 (.f64 b b) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (+.f64 a b) b (.f64 a a)) (neg.f64 (*.f64 a (/.f64 a (-.f64 b a)))))
(fma.f64 (/.f64 (.f64 b b) (.f64 (-.f64 b a) (+.f64 a b))) (+.f64 a b) (neg.f64 (*.f64 a (/.f64 a (-.f64 b a)))))
(fma.f64 (.f64 b b) (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (neg.f64 (.f64 a (/.f64 a (-.f64 b a)))))
(fma.f64 b (/.f64 b (-.f64 b a)) (neg.f64 (*.f64 a (/.f64 a (-.f64 b a)))))
(-.f64 (/.f64 (.f64 a a) (-.f64 a b)) (/.f64 (.f64 b b) (-.f64 a b)))
(-.f64 (.f64 b (/.f64 b (-.f64 b a))) (.f64 a (/.f64 a (-.f64 b a))))
(-.f64 a (neg.f64 b))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 a b))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (+.f64 a b)))
(+.f64 (-.f64 a #s(literal 0 binary64)) b)
(+.f64 (.f64 b (/.f64 b (-.f64 b a))) (neg.f64 (.f64 a (/.f64 a (-.f64 b a)))))
(+.f64 a (*.f64 #s(literal 1 binary64) b))
(+.f64 a (neg.f64 (neg.f64 b)))
(+.f64 a b)
(+.f64 b a)
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64))) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 a b) (-.f64 b a))) (sqrt.f64 (-.f64 b a)))
(.f64 (sqrt.f64 (/.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (-.f64 a b) a (*.f64 b b))))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)))
(.f64 (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (+.f64 a b) b (.f64 a a)) #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (.f64 a a))) (pow.f64 (+.f64 a b) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 a b))))
(*.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a b)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 a b)))
(pow.f64 (*.f64 (pow.f64 (-.f64 a b) #s(literal -1/2 binary64)) (pow.f64 (-.f64 a b) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (.f64 (pow.f64 (fma.f64 (neg.f64 b) b (.f64 a a)) #s(literal -1 binary64)) (+.f64 a b)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (+.f64 a b) b (*.f64 a a))) (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 a b))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (-.f64 a b) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1 binary64))
(pow.f64 (-.f64 a b) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (+.f64 a b) b (*.f64 a a)))))
(/.f64 (.f64 #s(literal 1 binary64) (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (+.f64 a b) b (.f64 a a))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (+.f64 a b) b (*.f64 a a)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 b a) (+.f64 a b))) (sqrt.f64 (neg.f64 (+.f64 a b))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)))) (neg.f64 (sqrt.f64 (+.f64 a b))))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))) (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (+.f64 a b) b (.f64 a a)))))
(/.f64 (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 (+.f64 a b) b (*.f64 a a))))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 a a))) (sqrt.f64 (+.f64 a b)))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 a b))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (-.f64 a b)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (fma.f64 (neg.f64 b) b (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (+.f64 a b) b (*.f64 a a))) (hypot.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 a b) #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 a b))))
(sqrt.f64 (exp.f64 (log.f64 (-.f64 a b))))
(sqrt.f64 (-.f64 a b))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (-.f64 a b))))
(exp.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a b)) (log.f64 (sqrt.f64 (-.f64 a b)))) (*.f64 (log.f64 (pow.f64 (+.f64 a b) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(exp.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a b)) (log.f64 (sqrt.f64 (-.f64 a b)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a b)))))
(exp.f64 (-.f64 (fma.f64 (log.f64 (-.f64 a b)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a b)))) (.f64 (log.f64 (pow.f64 (+.f64 a b) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(exp.f64 (-.f64 (fma.f64 (log.f64 (-.f64 a b)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a b)))) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a b)))))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (.f64 a a)))) (.f64 (log.f64 (pow.f64 (+.f64 a b) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 (fma.f64 (neg.f64 b) b (.f64 a a)))) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a b)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 a b))) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (-.f64 a b)) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (-.f64 a b)) #s(literal 1/4 binary64) (*.f64 (log.f64 (-.f64 a b)) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a b)) (log.f64 (sqrt.f64 (-.f64 a b)))) (*.f64 (log.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64))) #s(literal -1/4 binary64))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a b)) (log.f64 (sqrt.f64 (-.f64 a b)))) (*.f64 (log.f64 (pow.f64 (+.f64 a b) #s(literal -1/4 binary64))) #s(literal 2 binary64))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a b)) (log.f64 (sqrt.f64 (-.f64 a b)))) (log.f64 (pow.f64 (+.f64 a b) #s(literal -1/2 binary64)))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (-.f64 a b)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a b)))) (.f64 (log.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64))) #s(literal -1/4 binary64))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (-.f64 a b)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a b)))) (.f64 (log.f64 (pow.f64 (+.f64 a b) #s(literal -1/4 binary64))) #s(literal 2 binary64))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (-.f64 a b)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 a b)))) (log.f64 (pow.f64 (+.f64 a b) #s(literal -1/2 binary64)))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (neg.f64 b) b (.f64 a a))) (.f64 (log.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64))) #s(literal -1/4 binary64))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (neg.f64 b) b (.f64 a a))) (.f64 (log.f64 (pow.f64 (+.f64 a b) #s(literal -1/4 binary64))) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 a b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 a b))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 a b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (-.f64 a b) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (-.f64 a b)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 a b) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 a b))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 a b) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 a b))))

eval66.0ms (1%)

Memory: 5.7MiB live, 124.2MiB allocated
Compiler: Compiled 10 697 to 1 929 computations (82% saved)

prune37.0ms (0.6%)

Memory

-11.7MiB live, 27.8MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	485	2	487
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	487	6	493

Accuracy

100.0%

Counts

493 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (sqrt.f64 (+.f64 a b)) (pow.f64 (-.f64 a b) #s(literal -1/2 binary64)))
	99.2%	(/.f64 (neg.f64 (sqrt.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 a b))))
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
✓	52.4%	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
✓	99.5%	#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a))
✓	98.9%	#s(approx (sqrt (* (- a b) (+ b a))) a)

Compiler

Compiled 205 to 102 computations (50.2% saved)

regimes26.0ms (0.4%)

Memory

12.3MiB live, 49.6MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (* (- a b) (+ b a))) a)
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))
(sqrt.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a))
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(*.f64 (sqrt.f64 (-.f64 a b)) (sqrt.f64 (+.f64 b a)))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 a b))))
(/.f64 (sqrt.f64 (+.f64 a b)) (pow.f64 (-.f64 a b) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 b a) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 a b))))
(*.f64 (sqrt.f64 (-.f64 a b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)))))
(.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 a b) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 b a))))

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

Calls

6 calls:

7.0ms	b
4.0ms	a
4.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
4.0ms	(-.f64 (.f64 a a) (.f64 b b))
4.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
99.6%	1	`a`
99.6%	1	`b`
99.6%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
99.6%	1	`(-.f64 (.f64 a a) (.f64 b b))`
99.6%	1	`(*.f64 a a)`
99.6%	1	`(*.f64 b b)`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes20.0ms (0.3%)

Memory

-0.8MiB live, 37.3MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs
#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a))

Calls

6 calls:

5.0ms	b
3.0ms	a
3.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
3.0ms	(*.f64 a a)
3.0ms	(-.f64 (.f64 a a) (.f64 b b))

Results

Accuracy	Segments	Branch
99.5%	1	`a`
99.5%	1	`b`
99.5%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
99.5%	1	`(-.f64 (.f64 a a) (.f64 b b))`
99.5%	1	`(*.f64 a a)`
99.5%	1	`(*.f64 b b)`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes12.0ms (0.2%)

Memory

29.2MiB live, 29.2MiB allocated

Accuracy

Total -63.0b remaining (-9209.4%)

Threshold costs -63b (-9209.4%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (* (- a b) (+ b a))) a)
#s(approx (sqrt (- (* a a) (* b b))) (neg.f64 a))
(sqrt.f64 #s(approx (- (* a a) (* b b)) (*.f64 (neg.f64 b) b)))
(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 b a)))

Outputs
#s(approx (sqrt (* (- a b) (+ b a))) a)

Calls

6 calls:

2.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
2.0ms	a
2.0ms	b
2.0ms	(*.f64 a a)
2.0ms	(-.f64 (.f64 a a) (.f64 b b))

Results

Accuracy	Segments	Branch
98.9%	1	`a`
98.9%	1	`b`
98.9%	1	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
98.9%	1	`(-.f64 (.f64 a a) (.f64 b b))`
98.9%	1	`(*.f64 a a)`
98.9%	1	`(*.f64 b b)`

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify25.0ms (0.4%)

Memory

-37.5MiB live, 45.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	37
1	25	37
2	30	37
3	32	37
4	33	37

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

#s(approx (sqrt (- (* a a) (* b b))) (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) b) b a))

#s(approx (sqrt (* (- a b) (+ b a))) a)

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

soundness801.0ms (12.2%)

Memory

37.8MiB live, 790.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	537
1	332	537
2	1136	524
3	4554	506
0	8127	471
0	10	34
0	16	34
1	69	32
2	395	29
3	4059	29
0	8320	29
0	6	21
0	10	21
1	36	21
2	239	21
3	2135	21
0	9378	21
0	21	79
0	31	71
1	101	61
2	560	61
3	6603	61
0	8727	61
0	24	115
0	39	114
1	123	114
2	788	114
0	8437	114
0	576	2603
1	1872	2171
2	7584	2168
0	8034	2035

Stop Event

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

Compiler

Compiled 161 to 94 computations (41.6% saved)

preprocess36.0ms (0.6%)

Memory: 1.8MiB live, 79.5MiB allocated
Remove: (abs b)
Compiler: Compiled 236 to 168 computations (28.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	41
0	16	41
1	23	41
2	30	39
3	40	39
4	59	39
5	80	39
6	109	39
7	135	39
8	188	39
9	212	39
10	232	39
11	234	39
0	234	39

Iter	Nodes	Cost
0	10	41
0	16	41
1	23	41
2	30	39
3	40	39
4	59	39
5	80	39
6	109	39
7	135	39
8	188	39
9	212	39
10	232	39
11	234	39
0	234	39

start0.0ms (0%)

analyze30.0ms (0.5%)

sample831.0ms (12.6%)

explain75.0ms (1.1%)

preprocess442.0ms (6.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify342.0ms (5.2%)

localize94.0ms (1.4%)

series6.0ms (0.1%)

simplify213.0ms (3.2%)

rewrite702.0ms (10.7%)

eval71.0ms (1.1%)

prune8.0ms (0.1%)

simplify169.0ms (2.6%)

localize130.0ms (2%)

series27.0ms (0.4%)

simplify241.0ms (3.7%)

rewrite269.0ms (4.1%)

eval333.0ms (5.1%)

prune97.0ms (1.5%)

simplify421.0ms (6.4%)

localize59.0ms (0.9%)

series21.0ms (0.3%)

simplify287.0ms (4.4%)

rewrite172.0ms (2.6%)

eval136.0ms (2.1%)

prune15.0ms (0.2%)

simplify9.0ms (0.1%)

localize34.0ms (0.5%)

series10.0ms (0.2%)

simplify142.0ms (2.2%)

rewrite164.0ms (2.5%)

eval66.0ms (1%)

prune37.0ms (0.6%)

regimes26.0ms (0.4%)

regimes20.0ms (0.3%)

regimes12.0ms (0.2%)

simplify25.0ms (0.4%)

soundness801.0ms (12.2%)

preprocess36.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	41
0	16	41
1	23	41
2	30	39
3	40	39
4	59	39
5	80	39
6	109	39
7	135	39
8	188	39
9	212	39
10	232	39
11	234	39
0	234	39