Metrics for Complex division, real part

analyze144.0ms (1.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
75%	74.9%	25%	0.2%	0%	0%	0%	5
75%	74.9%	25%	0.2%	0%	0%	0%	6
75%	74.9%	25%	0.2%	0%	0%	0%	7
87.5%	87.3%	12.5%	0.2%	0%	0%	0%	8
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	9
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	10
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	11
96.9%	96.7%	3.1%	0.2%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.2s (11.6%)

Samples

918.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 556.0ms

ival-mult: 271.0ms (48.7% of total)

ival-add: 213.0ms (38.3% of total)

ival-div: 61.0ms (11% of total)

ival-true: 6.0ms (1.1% of total)

ival-assert: 4.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess627.0ms (6%)

Algorithm

1×	egg-herbie

Rules

1 573×	`fmm-def`
912×	`fma-define`
860×	`times-frac`
537×	`div-sub`
318×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	976
1	162	976
2	263	976
3	484	976
4	1174	976
5	3112	976
6	4405	976
7	5572	976
8	6433	976
9	6831	976
10	6959	976
11	7132	976
12	7586	976
13	7586	976
14	7586	976
15	7586	976
16	7946	976

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (+.f64 (.f64 (neg.f64 a) c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (+.f64 (.f64 a c) (.f64 (neg.f64 b) d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (+.f64 (.f64 a (neg.f64 c)) (.f64 b d)) (+.f64 (.f64 (neg.f64 c) (neg.f64 c)) (.f64 d d)))
(/.f64 (+.f64 (.f64 a c) (.f64 b (neg.f64 d))) (+.f64 (.f64 c c) (.f64 (neg.f64 d) (neg.f64 d))))
(neg.f64 (/.f64 (+.f64 (.f64 (neg.f64 a) c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))))
(neg.f64 (/.f64 (+.f64 (.f64 a c) (.f64 (neg.f64 b) d)) (+.f64 (.f64 c c) (.f64 d d))))
(neg.f64 (/.f64 (+.f64 (.f64 a (neg.f64 c)) (.f64 b d)) (+.f64 (.f64 (neg.f64 c) (neg.f64 c)) (.f64 d d))))
(neg.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b (neg.f64 d))) (+.f64 (.f64 c c) (.f64 (neg.f64 d) (neg.f64 d)))))
(/.f64 (+.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (+.f64 (.f64 c a) (.f64 b d)) (+.f64 (.f64 a a) (.f64 d d)))
(/.f64 (+.f64 (.f64 d c) (.f64 b a)) (+.f64 (.f64 c c) (.f64 a a)))
(/.f64 (+.f64 (.f64 a b) (.f64 c d)) (+.f64 (.f64 b b) (.f64 d d)))
(/.f64 (+.f64 (.f64 a c) (.f64 d b)) (+.f64 (.f64 c c) (.f64 b b)))
(/.f64 (+.f64 (.f64 a d) (.f64 b c)) (+.f64 (.f64 d d) (.f64 c c)))

Outputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
(/.f64 (+.f64 (.f64 (neg.f64 a) c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (fma.f64 a (neg.f64 c) (.f64 b d)) (fma.f64 c c (.f64 d d)))
(/.f64 (-.f64 (.f64 b d) (.f64 a c)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (.f64 a c) (.f64 (neg.f64 b) d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (fma.f64 a c (.f64 b (neg.f64 d))) (fma.f64 c c (.f64 d d)))
(/.f64 (-.f64 (.f64 a c) (.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (.f64 a (neg.f64 c)) (.f64 b d)) (+.f64 (.f64 (neg.f64 c) (neg.f64 c)) (.f64 d d)))
(/.f64 (fma.f64 a (neg.f64 c) (.f64 b d)) (fma.f64 c c (.f64 d d)))
(/.f64 (-.f64 (.f64 b d) (.f64 a c)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (.f64 a c) (.f64 b (neg.f64 d))) (+.f64 (.f64 c c) (.f64 (neg.f64 d) (neg.f64 d))))
(/.f64 (fma.f64 a c (.f64 b (neg.f64 d))) (fma.f64 c c (.f64 d d)))
(/.f64 (-.f64 (.f64 a c) (.f64 b d)) (fma.f64 c c (*.f64 d d)))
(neg.f64 (/.f64 (+.f64 (.f64 (neg.f64 a) c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))))
(/.f64 (fma.f64 a c (.f64 b (neg.f64 d))) (fma.f64 c c (.f64 d d)))
(/.f64 (-.f64 (.f64 a c) (.f64 b d)) (fma.f64 c c (*.f64 d d)))
(neg.f64 (/.f64 (+.f64 (.f64 a c) (.f64 (neg.f64 b) d)) (+.f64 (.f64 c c) (.f64 d d))))
(/.f64 (fma.f64 a (neg.f64 c) (.f64 b d)) (fma.f64 c c (.f64 d d)))
(/.f64 (-.f64 (.f64 b d) (.f64 a c)) (fma.f64 c c (*.f64 d d)))
(neg.f64 (/.f64 (+.f64 (.f64 a (neg.f64 c)) (.f64 b d)) (+.f64 (.f64 (neg.f64 c) (neg.f64 c)) (.f64 d d))))
(/.f64 (fma.f64 a c (.f64 b (neg.f64 d))) (fma.f64 c c (.f64 d d)))
(/.f64 (-.f64 (.f64 a c) (.f64 b d)) (fma.f64 c c (*.f64 d d)))
(neg.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b (neg.f64 d))) (+.f64 (.f64 c c) (.f64 (neg.f64 d) (neg.f64 d)))))
(/.f64 (fma.f64 a (neg.f64 c) (.f64 b d)) (fma.f64 c c (.f64 d d)))
(/.f64 (-.f64 (.f64 b d) (.f64 a c)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (fma.f64 a d (.f64 c b)) (fma.f64 c c (.f64 d d)))
(/.f64 (fma.f64 c b (.f64 a d)) (fma.f64 c c (.f64 d d)))
(/.f64 (+.f64 (.f64 c a) (.f64 b d)) (+.f64 (.f64 a a) (.f64 d d)))
(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 a a (.f64 d d)))
(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 d d (.f64 a a)))
(/.f64 (+.f64 (.f64 d c) (.f64 b a)) (+.f64 (.f64 c c) (.f64 a a)))
(/.f64 (fma.f64 a b (.f64 c d)) (fma.f64 c c (.f64 a a)))
(/.f64 (fma.f64 a b (.f64 c d)) (fma.f64 a a (.f64 c c)))
(/.f64 (+.f64 (.f64 a b) (.f64 c d)) (+.f64 (.f64 b b) (.f64 d d)))
(/.f64 (fma.f64 a b (.f64 c d)) (fma.f64 b b (.f64 d d)))
(/.f64 (fma.f64 a b (.f64 c d)) (fma.f64 d d (.f64 b b)))
(/.f64 (+.f64 (.f64 a c) (.f64 d b)) (+.f64 (.f64 c c) (.f64 b b)))
(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 b b)))
(/.f64 (+.f64 (.f64 a d) (.f64 b c)) (+.f64 (.f64 d d) (.f64 c c)))
(/.f64 (fma.f64 a d (.f64 c b)) (fma.f64 c c (.f64 d d)))
(/.f64 (fma.f64 c b (.f64 a d)) (fma.f64 c c (.f64 d d)))

explain139.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
116	-	2	(7.027292228245974e-197 -5.426847459218452e-279 1.4626231370351474e-124 5.999487014928481e-280)	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
2	-	0	-	`(+.f64 (.f64 a c) (.f64 b d))`
0	-	0	-	`(+.f64 (.f64 c c) (.f64 d d))`
0	-	0	-	`a`
0	-	0	-	`d`
0	-	0	-	`(*.f64 d d)`
0	-	0	-	`(*.f64 c c)`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`c`
0	-	0	-	`b`
0	-	0	-	`(*.f64 b d)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/o	58	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	70
↳	`(*.f64 a c)`	overflow	38
↳	`(*.f64 b d)`	overflow	37
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	118
↳	`(*.f64 c c)`	overflow	67
↳	`(*.f64 d d)`	overflow	65
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/o	31	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	118
↳	`(*.f64 c c)`	overflow	67
↳	`(*.f64 d d)`	overflow	65
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/n	12	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	70
↳	`(*.f64 a c)`	overflow	38
↳	`(*.f64 b d)`	overflow	37
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/u	7	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	19
↳	`(*.f64 c c)`	underflow	73
↳	`(*.f64 d d)`	underflow	74
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/u	3	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	underflow	6
↳	`(*.f64 a c)`	underflow	31
↳	`(*.f64 b d)`	underflow	30
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	19
↳	`(*.f64 c c)`	underflow	73
↳	`(*.f64 d d)`	underflow	74
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/n	3	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	underflow	6
↳	`(*.f64 a c)`	underflow	31
↳	`(*.f64 b d)`	underflow	30
`+.f64`	`(+.f64 (.f64 a c) (.f64 b d))`	nan-rescue	2	0
↳	`(*.f64 a c)`	overflow	38
↳	`(*.f64 b d)`	overflow	37

Confusion

	Predicted +	Predicted -
+	114	2
-	0	140

Precision

1.0

Recall

0.9827586206896551

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	114	0	2
-	0	0	140

Precision?

1.0

Recall?

0.9827586206896551

Freqs

test

number	freq
0	142
1	112
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

61.0ms

512×

valid

Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions

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

ival-mult: 14.0ms (50.6% of total)

ival-add: 7.0ms (25.3% of total)

ival-div: 6.0ms (21.7% of total)

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

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

eval0.0ms (0%)

Compiler: Compiled 17 to 9 computations (47.1% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.4%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify206.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 d d)
✓	cost-diff	(*.f64 c c)
✓	cost-diff	(*.f64 b d)
✓	cost-diff	(*.f64 a c)

Rules

6×	`fma-define`
2×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	181
1	25	181
2	29	181

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(+.f64 (.f64 a c) (.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
(+.f64 (.f64 c c) (.f64 d d))
(*.f64 c c)
(*.f64 d d)

Outputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 d d (.f64 c c)))
(+.f64 (.f64 a c) (.f64 b d))
(fma.f64 a c (*.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
(+.f64 (.f64 c c) (.f64 d d))
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
(*.f64 d d)

localize57.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	99.3%	(+.f64 (.f64 a c) (.f64 b d))
✓	accuracy	56.9%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Samples

38.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 20.0ms (81.7% of total)

ival-div: 2.0ms (8.2% of total)

ival-add: 2.0ms (8.2% of total)

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

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

series22.0ms (0.2%)

Counts

6 → 108

Calls

Call 1

Inputs
#<alt (*.f64 a c)>
#<alt (*.f64 b d)>
#<alt (*.f64 c c)>
#<alt (*.f64 d d)>
#<alt (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))>
#<alt (+.f64 (.f64 a c) (.f64 b d))>

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

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	d	@	inf	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
2.0ms	d	@	inf	(* b d)
1.0ms	a	@	0	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
1.0ms	c	@	0	(* c c)
1.0ms	b	@	0	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite406.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

819×	`log1p-expm1-u`
819×	`expm1-log1p-u`
503×	`fma-define`
241×	`fmm-def`
218×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	129
1	254	124
2	3547	124

Stop Event

1×	node limit

Counts

6 → 157

Calls

Call 1

Inputs
(*.f64 a c)
(*.f64 b d)
(*.f64 c c)
(*.f64 d d)
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(+.f64 (.f64 a c) (.f64 b d))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 a c))) #s(literal 1 binary64))
(pow.f64 (*.f64 a c) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a c)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a c)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 c) a))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a c))))
(cbrt.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a c)))
(log1p.f64 (expm1.f64 (*.f64 a c)))
(exp.f64 (log.f64 (*.f64 a c)))
(exp.f64 (.f64 (log.f64 (.f64 a c)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 b d))) #s(literal 1 binary64))
(pow.f64 (*.f64 b d) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 b d)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 b d)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 b) d))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b d))))
(cbrt.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 b d)))
(log1p.f64 (expm1.f64 (*.f64 b d)))
(exp.f64 (log.f64 (*.f64 b d)))
(exp.f64 (.f64 (log.f64 (.f64 b d)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 c #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 (pow.f64 c #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 c) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 c #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 c #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 c #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 c #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 c #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 c #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 c #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 c)))
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 c)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 d #s(literal 2 binary64))
(pow.f64 (pow.f64 d #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 d #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 d #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 d #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 d #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 d #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 d #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 d #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 d)))
(exp.f64 (*.f64 (log.f64 d) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 d)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 (fma.f64 a c (.f64 b d)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (hypot.f64 c d)) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))
(.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(.f64 (neg.f64 (fma.f64 a c (.f64 b d))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (fma.f64 a c (.f64 b d)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (fma.f64 a c (.f64 b d)) (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) #s(literal 2 binary64)) (hypot.f64 c d)) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 (*.f64 c d) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 a c (.f64 b d)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (-.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 a c (*.f64 b d))) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 a c (.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (*.f64 b d)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (fma.f64 a c (neg.f64 (.f64 b d)))) (/.f64 (pow.f64 (.f64 b d) #s(literal 2 binary64)) (fma.f64 a c (neg.f64 (.f64 b d)))))
(.f64 (fma.f64 a c (.f64 b d)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 b d)))
(.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 b d))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 a c (*.f64 b d))))
(.f64 (sqrt.f64 (fma.f64 a c (.f64 b d))) (sqrt.f64 (fma.f64 a c (*.f64 b d))))
(.f64 (+.f64 (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 (.f64 b d) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (pow.f64 (.f64 b d) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a c (neg.f64 (.f64 b d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)) (pow.f64 (.f64 a c) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 (.f64 b d) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (neg.f64 (.f64 b d))) (-.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 (.f64 b d) #s(literal 3 binary64))) (fma.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)) (pow.f64 (.f64 a c) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 (.f64 b d) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 b d) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (.f64 a (.f64 c (*.f64 b d))))))
(/.f64 (-.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (pow.f64 (.f64 b d) #s(literal 2 binary64))) (fma.f64 a c (neg.f64 (*.f64 b d))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 (.f64 b d) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)) (pow.f64 (.f64 a c) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (pow.f64 (.f64 b d) #s(literal 2 binary64)))) (neg.f64 (fma.f64 a c (neg.f64 (*.f64 b d)))))
(/.f64 (-.f64 (pow.f64 (.f64 b d) #s(literal 2 binary64)) (pow.f64 (.f64 a c) #s(literal 2 binary64))) (-.f64 (.f64 b d) (.f64 a c)))
(pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 a c (*.f64 b d))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 a c (*.f64 b d)))))
(log.f64 (.f64 (pow.f64 (exp.f64 c) a) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 b d)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a c))) (pow.f64 (exp.f64 b) d)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a c))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b d)))))
(log.f64 (.f64 (pow.f64 (exp.f64 b) d) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a c)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 b d))) (pow.f64 (exp.f64 c) a)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 b d))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a c)))))
(cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 a c (*.f64 b d))))
(log1p.f64 (expm1.f64 (fma.f64 a c (*.f64 b d))))
(exp.f64 (log.f64 (fma.f64 a c (*.f64 b d))))
(exp.f64 (.f64 (log.f64 (fma.f64 a c (.f64 b d))) #s(literal 1 binary64)))
(fma.f64 a c (*.f64 b d))
(fma.f64 c a (*.f64 b d))
(fma.f64 (.f64 a c) #s(literal 1 binary64) (.f64 b d))
(fma.f64 b d (*.f64 a c))
(fma.f64 d b (*.f64 a c))
(fma.f64 (.f64 b d) #s(literal 1 binary64) (.f64 a c))
(fma.f64 #s(literal 1 binary64) (.f64 a c) (.f64 b d))
(fma.f64 #s(literal 1 binary64) (.f64 b d) (.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 c) #s(literal 2 binary64)) (.f64 (cbrt.f64 c) a) (.f64 b d))
(fma.f64 (cbrt.f64 (.f64 a c)) (pow.f64 (cbrt.f64 (.f64 a c)) #s(literal 2 binary64)) (*.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 a c)) #s(literal 2 binary64)) (cbrt.f64 (.f64 a c)) (*.f64 b d))
(fma.f64 (cbrt.f64 (.f64 b d)) (pow.f64 (cbrt.f64 (.f64 b d)) #s(literal 2 binary64)) (*.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 b d)) #s(literal 2 binary64)) (cbrt.f64 (.f64 b d)) (*.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) (.f64 (cbrt.f64 d) b) (.f64 a c))
(fma.f64 (cbrt.f64 (pow.f64 a #s(literal 2 binary64))) (.f64 (cbrt.f64 a) c) (.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (.f64 (cbrt.f64 b) d) (.f64 a c))
(fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 (.f64 a c)) (*.f64 b d))
(fma.f64 (sqrt.f64 (.f64 b d)) (sqrt.f64 (.f64 b d)) (*.f64 a c))
(fma.f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) a) (.f64 b d))
(fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) c) (.f64 b d))
(fma.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) d) (.f64 a c))
(fma.f64 (sqrt.f64 d) (.f64 (sqrt.f64 d) b) (.f64 a c))
(fma.f64 (.f64 a (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (cbrt.f64 c) (.f64 b d))
(fma.f64 (.f64 a (sqrt.f64 c)) (sqrt.f64 c) (.f64 b d))
(fma.f64 (.f64 c (cbrt.f64 (pow.f64 a #s(literal 2 binary64)))) (cbrt.f64 a) (.f64 b d))
(fma.f64 (.f64 c (sqrt.f64 a)) (sqrt.f64 a) (.f64 b d))
(fma.f64 (.f64 b (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (cbrt.f64 d) (.f64 a c))
(fma.f64 (.f64 b (sqrt.f64 d)) (sqrt.f64 d) (.f64 a c))
(fma.f64 (.f64 d (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b) (.f64 a c))
(fma.f64 (.f64 d (sqrt.f64 b)) (sqrt.f64 b) (.f64 a c))

simplify263.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

558×	`cancel-sign-sub-inv`
485×	`distribute-lft-neg-in`
432×	`distribute-rgt-neg-in`
371×	`distribute-lft-in`
328×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	509	10401
1	1283	9871
2	4185	9811

Stop Event

1×	node limit

Counts

265 → 276

Calls

Call 1

Inputs
(pow.f64 c #s(literal 2 binary64))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 d #s(literal 2 binary64))
(pow.f64 d #s(literal 2 binary64))
(pow.f64 d #s(literal 2 binary64))
(pow.f64 d #s(literal 2 binary64))
(pow.f64 d #s(literal 2 binary64))
(pow.f64 d #s(literal 2 binary64))
(pow.f64 d #s(literal 2 binary64))
(pow.f64 d #s(literal 2 binary64))
(pow.f64 d #s(literal 2 binary64))
(pow.f64 d #s(literal 2 binary64))
(pow.f64 d #s(literal 2 binary64))
(pow.f64 d #s(literal 2 binary64))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))
(.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))
(.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 b d) (.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 b d) (.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 b d) (.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d #s(literal 2 binary64))))
(+.f64 (.f64 c (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) (/.f64 b d))
(+.f64 (.f64 c (+.f64 (.f64 c (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) (pow.f64 d #s(literal 4 binary64)))) (/.f64 b (pow.f64 d #s(literal 3 binary64))))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) (/.f64 b d))
(/.f64 a c)
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))) (/.f64 (*.f64 b d) c))) c)
(/.f64 (-.f64 (+.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (.f64 b d) c))) (/.f64 (.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))) c)
(/.f64 a c)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (.f64 b d) c))) c))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a (pow.f64 d #s(literal 2 binary64))) c)) (.f64 b d)) c))) c))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) c) (.f64 #s(literal -1 binary64) (.f64 a (pow.f64 d #s(literal 2 binary64))))) c)) (.f64 b d)) c))) c))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(.f64 b (+.f64 (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 a c) (*.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))
(.f64 b (+.f64 (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 a c) (*.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))
(.f64 b (+.f64 (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 a c) (*.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 b (+.f64 (.f64 #s(literal -1 binary64) (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) (.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 b (+.f64 (.f64 #s(literal -1 binary64) (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) (.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 b (+.f64 (.f64 #s(literal -1 binary64) (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) (.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c #s(literal 2 binary64))))
(+.f64 (.f64 d (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 3 binary64)))) (/.f64 b (pow.f64 c #s(literal 2 binary64))))) (/.f64 a c))
(+.f64 (.f64 d (+.f64 (.f64 d (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b d) (pow.f64 c #s(literal 4 binary64)))) (/.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 b (pow.f64 c #s(literal 2 binary64))))) (/.f64 a c))
(/.f64 b d)
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/.f64 (+.f64 b (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 a c) d))) d)
(/.f64 (-.f64 (+.f64 b (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 d #s(literal 3 binary64)))) (/.f64 (.f64 a c) d))) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))) d)
(/.f64 b d)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) d))) d))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) d)) (.f64 a c)) d))) d))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 a (pow.f64 c #s(literal 3 binary64))) d) (.f64 #s(literal -1 binary64) (.f64 b (pow.f64 c #s(literal 2 binary64))))) d)) (.f64 a c)) d))) d))
(*.f64 b d)
(*.f64 a c)
(.f64 a (+.f64 c (/.f64 (.f64 b d) a)))
(.f64 a (+.f64 c (/.f64 (.f64 b d) a)))
(.f64 a (+.f64 c (/.f64 (.f64 b d) a)))
(*.f64 a c)
(.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) c) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) a)))))
(.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) c) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) a)))))
(.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) c) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) a)))))
(*.f64 b d)
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(fma.f64 (.f64 a (sqrt.f64 c)) (sqrt.f64 c) (.f64 b d))
(fma.f64 (.f64 c (cbrt.f64 (pow.f64 a #s(literal 2 binary64)))) (cbrt.f64 a) (.f64 b d))
(fma.f64 (.f64 c (sqrt.f64 a)) (sqrt.f64 a) (.f64 b d))
(fma.f64 (.f64 b (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (cbrt.f64 d) (.f64 a c))
(fma.f64 (.f64 b (sqrt.f64 d)) (sqrt.f64 d) (.f64 a c))
(fma.f64 (.f64 d (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b) (.f64 a c))
(fma.f64 (.f64 d (sqrt.f64 b)) (sqrt.f64 b) (.f64 a c))

Outputs
(pow.f64 c #s(literal 2 binary64))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 d #s(literal 2 binary64))
(pow.f64 d #s(literal 2 binary64))
(pow.f64 d #s(literal 2 binary64))
(pow.f64 d #s(literal 2 binary64))
(pow.f64 d #s(literal 2 binary64))
(pow.f64 d #s(literal 2 binary64))
(pow.f64 d #s(literal 2 binary64))
(pow.f64 d #s(literal 2 binary64))
(pow.f64 d #s(literal 2 binary64))
(pow.f64 d #s(literal 2 binary64))
(pow.f64 d #s(literal 2 binary64))
(pow.f64 d #s(literal 2 binary64))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 c a) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(fma.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 d (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 c a) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(fma.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 d (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 c a) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(fma.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 d (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))
(.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (.f64 b (/.f64 d (*.f64 (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) a)))))
(*.f64 a (fma.f64 b (/.f64 (/.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))
(.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (.f64 b (/.f64 d (*.f64 (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) a)))))
(*.f64 a (fma.f64 b (/.f64 (/.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))
(.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (.f64 b (/.f64 d (*.f64 (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) a)))))
(*.f64 a (fma.f64 b (/.f64 (/.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 b d) (.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))
(.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (.f64 b (/.f64 d (*.f64 (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) a)))))
(*.f64 a (fma.f64 b (/.f64 (/.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 b d) (.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))
(.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (.f64 b (/.f64 d (*.f64 (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) a)))))
(*.f64 a (fma.f64 b (/.f64 (/.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 b d) (.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))
(.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (.f64 b (/.f64 d (*.f64 (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) a)))))
(*.f64 a (fma.f64 b (/.f64 (/.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d #s(literal 2 binary64))))
(+.f64 (/.f64 b d) (/.f64 (*.f64 c a) (pow.f64 d #s(literal 2 binary64))))
(fma.f64 a (/.f64 c (pow.f64 d #s(literal 2 binary64))) (/.f64 b d))
(+.f64 (.f64 c (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) (/.f64 b d))
(fma.f64 c (fma.f64 #s(literal -1 binary64) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))
(fma.f64 c (-.f64 (/.f64 a (pow.f64 d #s(literal 2 binary64))) (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64))))) (/.f64 b d))
(+.f64 (.f64 c (+.f64 (.f64 c (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) (pow.f64 d #s(literal 4 binary64)))) (/.f64 b (pow.f64 d #s(literal 3 binary64))))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) (/.f64 b d))
(fma.f64 c (fma.f64 c (-.f64 (neg.f64 (*.f64 a (/.f64 c (pow.f64 d #s(literal 4 binary64))))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))
(fma.f64 c (fma.f64 c (-.f64 (/.f64 (*.f64 c a) (neg.f64 (pow.f64 d #s(literal 4 binary64)))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))
(fma.f64 c (fma.f64 c (-.f64 (/.f64 (*.f64 a (neg.f64 c)) (pow.f64 d #s(literal 4 binary64))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))
(/.f64 a c)
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (+.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))) (/.f64 (*.f64 b d) c))) c)
(/.f64 (+.f64 a (fma.f64 #s(literal -1 binary64) (.f64 a (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))) (/.f64 (.f64 d b) c))) c)
(/.f64 (+.f64 a (-.f64 (.f64 b (/.f64 d c)) (.f64 (pow.f64 d #s(literal 2 binary64)) (/.f64 a (pow.f64 c #s(literal 2 binary64)))))) c)
(/.f64 (+.f64 a (/.f64 (-.f64 (.f64 d b) (.f64 (pow.f64 d #s(literal 2 binary64)) (/.f64 a c))) c)) c)
(/.f64 (-.f64 (+.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (.f64 b d) c))) (/.f64 (.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))) c)
(/.f64 (+.f64 a (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (.f64 d b) c)) (*.f64 a (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))) c)
(-.f64 (/.f64 (+.f64 a (-.f64 (.f64 b (/.f64 d c)) (.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))))) c) (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) a) (pow.f64 c #s(literal 3 binary64))))
(/.f64 (+.f64 (-.f64 a (.f64 b (pow.f64 (/.f64 d c) #s(literal 3 binary64)))) (/.f64 (-.f64 (.f64 d b) (*.f64 (pow.f64 d #s(literal 2 binary64)) (/.f64 a c))) c)) c)
(/.f64 a c)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (.f64 b d) c))) c))
(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a (pow.f64 d #s(literal 2 binary64))) c)) (.f64 b d)) c))) c))
(/.f64 (+.f64 a (fma.f64 #s(literal -1 binary64) (.f64 a (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))) (/.f64 (.f64 d b) c))) c)
(/.f64 (+.f64 a (-.f64 (.f64 b (/.f64 d c)) (.f64 (pow.f64 d #s(literal 2 binary64)) (/.f64 a (pow.f64 c #s(literal 2 binary64)))))) c)
(/.f64 (+.f64 a (/.f64 (-.f64 (.f64 d b) (.f64 (pow.f64 d #s(literal 2 binary64)) (/.f64 a c))) c)) c)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) c) (.f64 #s(literal -1 binary64) (.f64 a (pow.f64 d #s(literal 2 binary64))))) c)) (.f64 b d)) c))) c))
(neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 a (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) c)) (.f64 (neg.f64 a) (pow.f64 d #s(literal 2 binary64)))) c) (.f64 d b)) c))) c))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 a (/.f64 (-.f64 (.f64 d b) (/.f64 (fma.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) c) (*.f64 (pow.f64 d #s(literal 2 binary64)) a)) c)) c))) c)
(/.f64 (+.f64 a (/.f64 (-.f64 (.f64 d b) (/.f64 (fma.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) c) (.f64 (pow.f64 d #s(literal 2 binary64)) a)) c)) c)) c)
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 c a) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 c a) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(fma.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 d (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 c a) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(fma.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 d (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 d b) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 c a) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(fma.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 d (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 d b) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(*.f64 d (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(.f64 b (+.f64 (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 a c) (*.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))
(.f64 b (+.f64 (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 a (/.f64 c b)) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))
(.f64 b (fma.f64 a (/.f64 c (.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(.f64 b (+.f64 (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 a c) (*.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))
(.f64 b (+.f64 (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 a (/.f64 c b)) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))
(.f64 b (fma.f64 a (/.f64 c (.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(.f64 b (+.f64 (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 a c) (*.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))
(.f64 b (+.f64 (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 a (/.f64 c b)) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))
(.f64 b (fma.f64 a (/.f64 c (.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
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(/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (-.f64 (.f64 c a) (.f64 d b)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)) (pow.f64 (.f64 a c) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 (.f64 b d) #s(literal 3 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (neg.f64 (.f64 b d))) (-.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (-.f64 (.f64 c a) (.f64 d b)))
(/.f64 (+.f64 (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 (.f64 b d) #s(literal 3 binary64))) (fma.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)) (pow.f64 (.f64 a c) #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 (.f64 b d) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 b d) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (.f64 a (.f64 c (*.f64 b d))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (pow.f64 (.f64 b d) #s(literal 2 binary64))) (fma.f64 a c (neg.f64 (*.f64 b d))))
(/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (-.f64 (.f64 c a) (.f64 d b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 (.f64 b d) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 b d) (-.f64 (.f64 b d) (.f64 a c)) (pow.f64 (.f64 a c) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) (fma.f64 (.f64 d b) (-.f64 (.f64 d b) (.f64 c a)) (pow.f64 (.f64 c a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (pow.f64 (.f64 b d) #s(literal 2 binary64)))) (neg.f64 (fma.f64 a c (neg.f64 (*.f64 b d)))))
(/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (-.f64 (.f64 c a) (.f64 d b)))
(/.f64 (-.f64 (pow.f64 (.f64 b d) #s(literal 2 binary64)) (pow.f64 (.f64 a c) #s(literal 2 binary64))) (-.f64 (.f64 b d) (.f64 a c)))
(/.f64 (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (-.f64 (.f64 c a) (.f64 d b)))
(pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal 1 binary64))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 3 binary64))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(pow.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 2 binary64))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal 2 binary64)))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(log.f64 (exp.f64 (fma.f64 a c (*.f64 b d))))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 a c (*.f64 b d)))))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(log.f64 (.f64 (pow.f64 (exp.f64 c) a) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 b d)))))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a c))) (pow.f64 (exp.f64 b) d)))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a c))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b d)))))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(log.f64 (.f64 (pow.f64 (exp.f64 b) d) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a c)))))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 b d))) (pow.f64 (exp.f64 c) a)))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 b d))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a c)))))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal 3 binary64)))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(expm1.f64 (log1p.f64 (fma.f64 a c (*.f64 b d))))
(expm1.f64 (log1p.f64 (fma.f64 c a (*.f64 d b))))
(expm1.f64 (log1p.f64 (fma.f64 d b (*.f64 c a))))
(log1p.f64 (expm1.f64 (fma.f64 a c (*.f64 b d))))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(exp.f64 (log.f64 (fma.f64 a c (*.f64 b d))))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(exp.f64 (.f64 (log.f64 (fma.f64 a c (.f64 b d))) #s(literal 1 binary64)))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 a c (*.f64 b d))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 c a (*.f64 b d))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 (.f64 a c) #s(literal 1 binary64) (.f64 b d))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 b d (*.f64 a c))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 d b (*.f64 a c))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 (.f64 b d) #s(literal 1 binary64) (.f64 a c))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 #s(literal 1 binary64) (.f64 a c) (.f64 b d))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 #s(literal 1 binary64) (.f64 b d) (.f64 a c))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 (pow.f64 (cbrt.f64 c) #s(literal 2 binary64)) (.f64 (cbrt.f64 c) a) (.f64 b d))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 (cbrt.f64 (.f64 a c)) (pow.f64 (cbrt.f64 (.f64 a c)) #s(literal 2 binary64)) (*.f64 b d))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 a c)) #s(literal 2 binary64)) (cbrt.f64 (.f64 a c)) (*.f64 b d))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 (cbrt.f64 (.f64 b d)) (pow.f64 (cbrt.f64 (.f64 b d)) #s(literal 2 binary64)) (*.f64 a c))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 b d)) #s(literal 2 binary64)) (cbrt.f64 (.f64 b d)) (*.f64 a c))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) (.f64 (cbrt.f64 d) b) (.f64 a c))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 (cbrt.f64 (pow.f64 a #s(literal 2 binary64))) (.f64 (cbrt.f64 a) c) (.f64 b d))
(fma.f64 (cbrt.f64 (pow.f64 a #s(literal 2 binary64))) (.f64 c (cbrt.f64 a)) (.f64 d b))
(fma.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (.f64 (cbrt.f64 b) d) (.f64 a c))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 (.f64 a c)) (*.f64 b d))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 (sqrt.f64 (.f64 b d)) (sqrt.f64 (.f64 b d)) (*.f64 a c))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 (sqrt.f64 c) (.f64 (sqrt.f64 c) a) (.f64 b d))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) c) (.f64 b d))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) d) (.f64 a c))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 (sqrt.f64 d) (.f64 (sqrt.f64 d) b) (.f64 a c))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 (.f64 a (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (cbrt.f64 c) (.f64 b d))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 (.f64 a (sqrt.f64 c)) (sqrt.f64 c) (.f64 b d))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 (.f64 c (cbrt.f64 (pow.f64 a #s(literal 2 binary64)))) (cbrt.f64 a) (.f64 b d))
(fma.f64 (cbrt.f64 (pow.f64 a #s(literal 2 binary64))) (.f64 c (cbrt.f64 a)) (.f64 d b))
(fma.f64 (.f64 c (sqrt.f64 a)) (sqrt.f64 a) (.f64 b d))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 (.f64 b (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (cbrt.f64 d) (.f64 a c))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 (.f64 b (sqrt.f64 d)) (sqrt.f64 d) (.f64 a c))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 (.f64 d (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b) (.f64 a c))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
(fma.f64 (.f64 d (sqrt.f64 b)) (sqrt.f64 b) (.f64 a c))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))

eval34.0ms (0.3%)

Compiler: Compiled 5 417 to 988 computations (81.8% saved)

prune287.0ms (2.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	263	13	276
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	264	13	277

Accuracy

99.8%

Counts

277 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.7%	(fma.f64 a (/.f64 c (pow.f64 d #s(literal 2 binary64))) (/.f64 b d))
	36.2%	(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) #s(literal 2 binary64))
	52.6%	(/.f64 (fma.f64 b (/.f64 d c) a) c)
	53.0%	(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
▶	55.8%	(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
	50.7%	(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c)
▶	38.4%	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	35.7%	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	42.8%	(/.f64 b d)
▶	40.7%	(/.f64 a c)
	56.3%	(.f64 (fma.f64 a c (.f64 b d)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
▶	70.7%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
	34.7%	(*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))

Compiler

Compiled 354 to 222 computations (37.3% saved)

simplify44.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 b d)
✓	cost-diff	0	(pow.f64 d #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 c (pow.f64 d #s(literal 2 binary64)))
✓	cost-diff	6464	(fma.f64 a (/.f64 c (pow.f64 d #s(literal 2 binary64))) (/.f64 b d))
✓	cost-diff	-12608	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	cost-diff	-6336	(*.f64 d d)
	cost-diff	0	(*.f64 c c)
✓	cost-diff	0	(*.f64 d b)
✓	cost-diff	-6272	(+.f64 b (*.f64 a (/.f64 c d)))
✓	cost-diff	-6272	(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
✓	cost-diff	0	(/.f64 c d)
✓	cost-diff	0	(*.f64 a (/.f64 c d))
✓	cost-diff	0	(/.f64 a c)
✓	cost-diff	0	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
✓	cost-diff	0	(hypot.f64 c d)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
✓	cost-diff	192	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))

Rules

130×	`fma-define`
130×	`times-frac`
96×	`associate-r`
67×	`associate-l`
66×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	559
1	59	541
2	87	541
3	181	534
4	351	534
5	497	534
6	619	534
7	748	534
8	782	534
9	829	534
10	870	534

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
#s(literal 1 binary64)
(hypot.f64 c d)
c
d
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
(fma.f64 a c (*.f64 b d))
a
(*.f64 b d)
b
(/.f64 a c)
a
c
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(+.f64 b (*.f64 a (/.f64 c d)))
b
(*.f64 a (/.f64 c d))
a
(/.f64 c d)
c
d
(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
(*.f64 d b)
d
b
(+.f64 (.f64 c c) (.f64 d d))
(*.f64 c c)
c
(*.f64 d d)
(fma.f64 a (/.f64 c (pow.f64 d #s(literal 2 binary64))) (/.f64 b d))
a
(/.f64 c (pow.f64 d #s(literal 2 binary64)))
c
(pow.f64 d #s(literal 2 binary64))
d
#s(literal 2 binary64)
(/.f64 b d)
b

Outputs
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d)))
(/.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d))
(/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d))
(/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 c c (pow.f64 d #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
#s(literal 1 binary64)
(hypot.f64 c d)
c
d
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
(/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d))
(/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d))
(fma.f64 a c (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(fma.f64 c a (*.f64 d b))
a
(*.f64 b d)
(*.f64 d b)
b
(/.f64 a c)
a
c
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(+.f64 b (*.f64 a (/.f64 c d)))
(fma.f64 a (/.f64 c d) b)
b
(*.f64 a (/.f64 c d))
a
(/.f64 c d)
c
d
(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 d b) (fma.f64 c c (pow.f64 d #s(literal 2 binary64))))
(*.f64 b (/.f64 d (fma.f64 c c (pow.f64 d #s(literal 2 binary64)))))
(*.f64 d b)
d
b
(+.f64 (.f64 c c) (.f64 d d))
(fma.f64 c c (pow.f64 d #s(literal 2 binary64)))
(*.f64 c c)
c
(*.f64 d d)
(pow.f64 d #s(literal 2 binary64))
(fma.f64 a (/.f64 c (pow.f64 d #s(literal 2 binary64))) (/.f64 b d))
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
a
(/.f64 c (pow.f64 d #s(literal 2 binary64)))
c
(pow.f64 d #s(literal 2 binary64))
d
#s(literal 2 binary64)
(/.f64 b d)
b

localize200.0ms (1.9%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 b d)
✓	accuracy	100.0%	(pow.f64 d #s(literal 2 binary64))
✓	accuracy	88.5%	(/.f64 c (pow.f64 d #s(literal 2 binary64)))
✓	accuracy	87.3%	(fma.f64 a (/.f64 c (pow.f64 d #s(literal 2 binary64))) (/.f64 b d))
	accuracy	100.0%	(*.f64 d d)
✓	accuracy	100.0%	(*.f64 d b)
	accuracy	100.0%	(*.f64 c c)
✓	accuracy	67.9%	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
✓	accuracy	100.0%	(/.f64 c d)
✓	accuracy	100.0%	(+.f64 b (*.f64 a (/.f64 c d)))
✓	accuracy	98.8%	(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
✓	accuracy	88.8%	(*.f64 a (/.f64 c d))
✓	accuracy	100.0%	(/.f64 a c)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
✓	accuracy	99.6%	(fma.f64 a c (*.f64 b d))
✓	accuracy	99.6%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
✓	accuracy	71.8%	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Samples

104.0ms

256×

valid

Compiler

Compiled 139 to 28 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-div: 46.0ms (65.7% of total)

ival-mult: 9.0ms (12.9% of total)

ival-fma: 5.0ms (7.1% of total)

ival-hypot: 5.0ms (7.1% of total)

ival-add: 2.0ms (2.9% of total)

ival-pow: 2.0ms (2.9% of total)

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

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series62.0ms (0.6%)

Counts

16 → 432

Calls

Call 1

Inputs
#<alt (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))>
#<alt (/.f64 #s(literal 1 binary64) (hypot.f64 c d))>
#<alt (hypot.f64 c d)>
#<alt (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))>
#<alt (/.f64 a c)>
#<alt (*.f64 a (/.f64 c d))>
#<alt (/.f64 c d)>
#<alt (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)>
#<alt (+.f64 b (*.f64 a (/.f64 c d)))>
#<alt (*.f64 d b)>
#<alt (/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))>
#<alt (fma.f64 a (/.f64 c (pow.f64 d #s(literal 2 binary64))) (/.f64 b d))>
#<alt (/.f64 c (pow.f64 d #s(literal 2 binary64)))>
#<alt (pow.f64 d #s(literal 2 binary64))>
#<alt (/.f64 b d)>
#<alt (fma.f64 a c (*.f64 b d))>

Outputs
#<alt (/.f64 b d)>
#<alt (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 c (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) (/.f64 b d))>
#<alt (+.f64 (.f64 c (+.f64 (.f64 c (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) (pow.f64 d #s(literal 4 binary64)))) (/.f64 b (pow.f64 d #s(literal 3 binary64))))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) (/.f64 b d))>
#<alt (/.f64 a c)>
#<alt (/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)>
#<alt (/.f64 (+.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))) (/.f64 (*.f64 b d) c))) c)>
#<alt (/.f64 (-.f64 (+.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (.f64 b d) c))) (/.f64 (.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))) c)>
#<alt (/.f64 a c)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (.f64 b d) c))) c))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a (pow.f64 d #s(literal 2 binary64))) c)) (.f64 b d)) c))) c))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) c) (.f64 #s(literal -1 binary64) (.f64 a (pow.f64 d #s(literal 2 binary64))))) c)) (.f64 b d)) c))) c))>
#<alt (/.f64 a c)>
#<alt (+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 d (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 3 binary64)))) (/.f64 b (pow.f64 c #s(literal 2 binary64))))) (/.f64 a c))>
#<alt (+.f64 (.f64 d (+.f64 (.f64 d (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b d) (pow.f64 c #s(literal 4 binary64)))) (/.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 b (pow.f64 c #s(literal 2 binary64))))) (/.f64 a c))>
#<alt (/.f64 b d)>
#<alt (/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)>
#<alt (/.f64 (+.f64 b (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 a c) d))) d)>
#<alt (/.f64 (-.f64 (+.f64 b (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 d #s(literal 3 binary64)))) (/.f64 (.f64 a c) d))) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))) d)>
#<alt (/.f64 b d)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) d))) d))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) d)) (.f64 a c)) d))) d))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 a (pow.f64 c #s(literal 3 binary64))) d) (.f64 #s(literal -1 binary64) (.f64 b (pow.f64 c #s(literal 2 binary64))))) d)) (.f64 a c)) d))) d))>
#<alt (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 b d) (.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 b d) (.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 b d) (.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))>
#<alt (/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (.f64 b (+.f64 (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 a c) (*.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (.f64 b (+.f64 (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 a c) (*.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (.f64 b (+.f64 (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 a c) (*.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 b (+.f64 (.f64 #s(literal -1 binary64) (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) (.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 b (+.f64 (.f64 #s(literal -1 binary64) (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) (.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 b (+.f64 (.f64 #s(literal -1 binary64) (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) (.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))>
#<alt (/.f64 #s(literal 1 binary64) d)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) d))>
#<alt (+.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) d))>
#<alt (+.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 7 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) d))>
#<alt (/.f64 #s(literal 1 binary64) c)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))) c)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64)))) (pow.f64 c #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))) c)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64)))) (pow.f64 c #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64)))))) (pow.f64 d #s(literal 6 binary64))) (pow.f64 c #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))))) c)>
#<alt (/.f64 #s(literal -1 binary64) c)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))) c))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64)))) (pow.f64 c #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))) c))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64)))) (pow.f64 c #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64)))))) (pow.f64 d #s(literal 6 binary64))) (pow.f64 c #s(literal 6 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))))) c))>
#<alt (/.f64 #s(literal 1 binary64) c)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) c))>
#<alt (+.f64 (.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) c))>
#<alt (+.f64 (.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 7 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) c))>
#<alt (/.f64 #s(literal 1 binary64) d)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) d)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 d #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) d)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 d #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 c #s(literal 4 binary64)))))) (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))) d)>
#<alt (/.f64 #s(literal -1 binary64) d)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) d))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) d))>
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#<alt (/.f64 b d)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) d))) d))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) d))) d))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) d))) d))>
#<alt (/.f64 (*.f64 a c) (pow.f64 d #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 b d)>
#<alt (.f64 b (+.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 a c) (*.f64 b (pow.f64 d #s(literal 2 binary64))))))>
#<alt (.f64 b (+.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 a c) (*.f64 b (pow.f64 d #s(literal 2 binary64))))))>
#<alt (.f64 b (+.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (.f64 a c) (*.f64 b (pow.f64 d #s(literal 2 binary64))))))>
#<alt (/.f64 b d)>
#<alt (.f64 #s(literal -1 binary64) (.f64 b (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) (*.f64 b (pow.f64 d #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) d))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 b (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) (*.f64 b (pow.f64 d #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) d))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 b (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) (*.f64 b (pow.f64 d #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) d))))>
#<alt (*.f64 b d)>
#<alt (+.f64 (.f64 a c) (.f64 b d))>
#<alt (+.f64 (.f64 a c) (.f64 b d))>
#<alt (+.f64 (.f64 a c) (.f64 b d))>
#<alt (*.f64 a c)>
#<alt (.f64 a (+.f64 c (/.f64 (.f64 b d) a)))>
#<alt (.f64 a (+.f64 c (/.f64 (.f64 b d) a)))>
#<alt (.f64 a (+.f64 c (/.f64 (.f64 b d) a)))>
#<alt (*.f64 a c)>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) c) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) a)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) c) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) a)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) c) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) a)))))>
#<alt (*.f64 b d)>
#<alt (+.f64 (.f64 a c) (.f64 b d))>
#<alt (+.f64 (.f64 a c) (.f64 b d))>
#<alt (+.f64 (.f64 a c) (.f64 b d))>
#<alt (*.f64 a c)>
#<alt (.f64 c (+.f64 a (/.f64 (.f64 b d) c)))>
#<alt (.f64 c (+.f64 a (/.f64 (.f64 b d) c)))>
#<alt (.f64 c (+.f64 a (/.f64 (.f64 b d) c)))>
#<alt (*.f64 a c)>
#<alt (.f64 #s(literal -1 binary64) (.f64 c (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 c (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 c (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c)))))>
#<alt (*.f64 a c)>
#<alt (+.f64 (.f64 a c) (.f64 b d))>
#<alt (+.f64 (.f64 a c) (.f64 b d))>
#<alt (+.f64 (.f64 a c) (.f64 b d))>
#<alt (*.f64 b d)>
#<alt (.f64 b (+.f64 d (/.f64 (.f64 a c) b)))>
#<alt (.f64 b (+.f64 d (/.f64 (.f64 a c) b)))>
#<alt (.f64 b (+.f64 d (/.f64 (.f64 a c) b)))>
#<alt (*.f64 b d)>
#<alt (.f64 #s(literal -1 binary64) (.f64 b (+.f64 (.f64 #s(literal -1 binary64) d) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) b)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 b (+.f64 (.f64 #s(literal -1 binary64) d) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) b)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 b (+.f64 (.f64 #s(literal -1 binary64) d) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) b)))))>
#<alt (*.f64 a c)>
#<alt (+.f64 (.f64 a c) (.f64 b d))>
#<alt (+.f64 (.f64 a c) (.f64 b d))>
#<alt (+.f64 (.f64 a c) (.f64 b d))>
#<alt (*.f64 b d)>
#<alt (.f64 d (+.f64 b (/.f64 (.f64 a c) d)))>
#<alt (.f64 d (+.f64 b (/.f64 (.f64 a c) d)))>
#<alt (.f64 d (+.f64 b (/.f64 (.f64 a c) d)))>
#<alt (*.f64 b d)>
#<alt (.f64 #s(literal -1 binary64) (.f64 d (+.f64 (.f64 #s(literal -1 binary64) b) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 d (+.f64 (.f64 #s(literal -1 binary64) b) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 d (+.f64 (.f64 #s(literal -1 binary64) b) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))>

Calls

135 calls:

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

rewrite264.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

445×	`log1p-expm1-u`
239×	`expm1-log1p-u`
232×	`add-exp-log`
232×	`add-log-exp`
232×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	418
1	555	400
2	7733	400

Stop Event

1×	node limit

Counts

16 → 510

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
(hypot.f64 c d)
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
(/.f64 a c)
(*.f64 a (/.f64 c d))
(/.f64 c d)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(+.f64 b (*.f64 a (/.f64 c d)))
(*.f64 d b)
(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
(fma.f64 a (/.f64 c (pow.f64 d #s(literal 2 binary64))) (/.f64 b d))
(/.f64 c (pow.f64 d #s(literal 2 binary64)))
(pow.f64 d #s(literal 2 binary64))
(/.f64 b d)
(fma.f64 a c (*.f64 b d))

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 a c (.f64 d b)) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b))) (hypot.f64 c d)))
(/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 a c (*.f64 d b))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 c d) (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d))))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 d b))))
(/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(/.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b))) (neg.f64 (hypot.f64 c d))))
(/.f64 #s(literal -1 binary64) (.f64 (neg.f64 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b)))))
(/.f64 (neg.f64 (fma.f64 a c (*.f64 d b))) (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 a c (.f64 d b))) #s(literal 1 binary64)) (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 a c (.f64 d b)))) (*.f64 (neg.f64 (hypot.f64 c d)) (neg.f64 (hypot.f64 c d))))
(/.f64 (.f64 (fma.f64 a c (.f64 d b)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 a c (.f64 d b))) #s(literal -1 binary64)) (*.f64 (neg.f64 (hypot.f64 c d)) (neg.f64 (hypot.f64 c d))))
(/.f64 (neg.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (fma.f64 a c (*.f64 d b)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (neg.f64 (fma.f64 a c (.f64 d b)))) (neg.f64 (hypot.f64 c d)))
(/.f64 (.f64 (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d)) #s(literal -1 binary64)) (neg.f64 (hypot.f64 c d)))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))
(/.f64 (.f64 (neg.f64 (fma.f64 a c (.f64 d b))) (/.f64 #s(literal 1 binary64) (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))
(/.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)) #s(literal 1 binary64)) (hypot.f64 c d))
(/.f64 (/.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)) (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 c d)))
(pow.f64 (.f64 (fma.f64 a c (.f64 d b)) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (fma.f64 a c (.f64 d b)) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (fma.f64 a c (.f64 d b)) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 d b))) (hypot.f64 c d)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 a c (.f64 d b)) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (.f64 (fma.f64 a c (.f64 d b)) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (fma.f64 a c (.f64 d b)) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 a c (.f64 d b)) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 a c (.f64 d b)) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 a c (.f64 d b)) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (.f64 (fma.f64 a c (.f64 d b)) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 c d))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d))) (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d))))
(*.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 c d)) #s(literal -1 binary64)))
(pow.f64 (hypot.f64 c d) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 c d)))
(sqrt.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d))))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 c d)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 c d))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 c d))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 c d))
(*.f64 (hypot.f64 c d) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (hypot.f64 c d)) (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 c d)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d)))
(*.f64 (sqrt.f64 (hypot.f64 c d)) (/.f64 (sqrt.f64 (hypot.f64 c d)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))
(/.f64 (hypot.f64 c d) #s(literal 1 binary64))
(/.f64 (neg.f64 (hypot.f64 c d)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 (*.f64 c d) #s(literal 2 binary64)))))
(pow.f64 (hypot.f64 c d) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(fabs.f64 (hypot.f64 c d))
(log.f64 (exp.f64 (hypot.f64 c d)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 c d))))
(cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 c d)))
(log1p.f64 (expm1.f64 (hypot.f64 c d)))
(exp.f64 (log.f64 (hypot.f64 c d)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 c d)) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (.f64 c a)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (.f64 d b)))
(+.f64 (.f64 (.f64 c a) (/.f64 #s(literal 1 binary64) (hypot.f64 c d))) (.f64 (.f64 d b) (/.f64 #s(literal 1 binary64) (hypot.f64 c d))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (fma.f64 a c (.f64 d b)))
(.f64 (fma.f64 a c (.f64 d b)) (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))
(.f64 (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d)) #s(literal 1 binary64))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 d b)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 d b))) (hypot.f64 c d)))
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(exp.f64 (.f64 (log.f64 (.f64 c (pow.f64 d #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 2 binary64)))
(*.f64 d d)
(*.f64 (pow.f64 d #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 d #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) (.f64 (cbrt.f64 d) d))
(*.f64 (cbrt.f64 (pow.f64 d #s(literal 4 binary64))) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)))
(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 d) d))
(.f64 (.f64 d (sqrt.f64 d)) (sqrt.f64 d))
(.f64 (.f64 d (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (cbrt.f64 d))
(sqrt.f64 (pow.f64 d #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 d #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 d #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 d #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 d #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 d #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 d)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 d)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b d))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 b d))
(*.f64 b (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 b d) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 b d)) (pow.f64 (cbrt.f64 (/.f64 b d)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 b d)))
(*.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (/.f64 (cbrt.f64 b) d))
(.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (.f64 (cbrt.f64 b) (/.f64 #s(literal 1 binary64) d)))
(*.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)))
(*.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) d))
(.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 #s(literal 1 binary64) d)))
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 d)))
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 b (cbrt.f64 d)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 b) d))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (cbrt.f64 (/.f64 b d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (sqrt.f64 d)) (/.f64 (cbrt.f64 b) (sqrt.f64 d)))
(*.f64 (/.f64 (sqrt.f64 b) #s(literal 1 binary64)) (/.f64 (sqrt.f64 b) d))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 (sqrt.f64 b) (cbrt.f64 d)))
(pow.f64 (/.f64 b d) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 b d)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 b d) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 b d)) #s(literal 2 binary64))
(pow.f64 (/.f64 d b) #s(literal -1 binary64))
(neg.f64 (/.f64 b (neg.f64 d)))
(neg.f64 (/.f64 (neg.f64 b) d))
(sqrt.f64 (pow.f64 (/.f64 b d) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 b d)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 b d))))
(cbrt.f64 (pow.f64 (/.f64 b d) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 b d)))
(log1p.f64 (expm1.f64 (/.f64 b d)))
(exp.f64 (log.f64 (/.f64 b d)))
(exp.f64 (*.f64 (log.f64 (/.f64 b d)) #s(literal 1 binary64)))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 (.f64 c a) #s(literal 1 binary64)) (*.f64 d b))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (*.f64 d b)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 d b)))
(.f64 (fma.f64 a c (.f64 d b)) #s(literal 1 binary64))
(.f64 (cbrt.f64 (fma.f64 a c (.f64 d b))) (cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 d b)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 a c (*.f64 d b))))
(.f64 (sqrt.f64 (fma.f64 a c (.f64 d b))) (sqrt.f64 (fma.f64 a c (*.f64 d b))))
(/.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 c a) (.f64 c a)) (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (.f64 (.f64 c a) (*.f64 d b)))))
(/.f64 (-.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (-.f64 (.f64 c a) (.f64 d b)))
(pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 d b))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a c (*.f64 d b))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 a c (*.f64 d b))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 a c (*.f64 d b)))))
(cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 a c (*.f64 d b))))
(log1p.f64 (expm1.f64 (fma.f64 a c (*.f64 d b))))
(exp.f64 (log.f64 (fma.f64 a c (*.f64 d b))))
(exp.f64 (.f64 (log.f64 (fma.f64 a c (.f64 d b))) #s(literal 1 binary64)))

simplify515.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

793×	`fma-define`
413×	`*-commutative`
354×	`distribute-rgt-in`
352×	`distribute-lft-in`
212×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1576	39685
1	4102	37966

Stop Event

1×	node limit

Counts

942 → 1 018

Calls

Call 1

Inputs
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d #s(literal 2 binary64))))
(+.f64 (.f64 c (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) (/.f64 b d))
(+.f64 (.f64 c (+.f64 (.f64 c (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) (pow.f64 d #s(literal 4 binary64)))) (/.f64 b (pow.f64 d #s(literal 3 binary64))))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) (/.f64 b d))
(/.f64 a c)
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))) (/.f64 (*.f64 b d) c))) c)
(/.f64 (-.f64 (+.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (.f64 b d) c))) (/.f64 (.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))) c)
(/.f64 a c)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (.f64 b d) c))) c))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a (pow.f64 d #s(literal 2 binary64))) c)) (.f64 b d)) c))) c))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) c) (.f64 #s(literal -1 binary64) (.f64 a (pow.f64 d #s(literal 2 binary64))))) c)) (.f64 b d)) c))) c))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c #s(literal 2 binary64))))
(+.f64 (.f64 d (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 3 binary64)))) (/.f64 b (pow.f64 c #s(literal 2 binary64))))) (/.f64 a c))
(+.f64 (.f64 d (+.f64 (.f64 d (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b d) (pow.f64 c #s(literal 4 binary64)))) (/.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 b (pow.f64 c #s(literal 2 binary64))))) (/.f64 a c))
(/.f64 b d)
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/.f64 (+.f64 b (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 a c) d))) d)
(/.f64 (-.f64 (+.f64 b (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 d #s(literal 3 binary64)))) (/.f64 (.f64 a c) d))) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))) d)
(/.f64 b d)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) d))) d))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) d)) (.f64 a c)) d))) d))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 a (pow.f64 c #s(literal 3 binary64))) d) (.f64 #s(literal -1 binary64) (.f64 b (pow.f64 c #s(literal 2 binary64))))) d)) (.f64 a c)) d))) d))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))
(.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))
(.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 b d) (.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 b d) (.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 b d) (.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(.f64 b (+.f64 (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 a c) (*.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))
(.f64 b (+.f64 (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 a c) (*.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))
(.f64 b (+.f64 (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 a c) (*.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 b (+.f64 (.f64 #s(literal -1 binary64) (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) (.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 b (+.f64 (.f64 #s(literal -1 binary64) (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) (.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 b (+.f64 (.f64 #s(literal -1 binary64) (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) (.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))
(/.f64 #s(literal 1 binary64) d)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) d))
(+.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) d))
(+.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 7 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) d))
(/.f64 #s(literal 1 binary64) c)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))) c)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64)))) (pow.f64 c #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))) c)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64)))) (pow.f64 c #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64)))))) (pow.f64 d #s(literal 6 binary64))) (pow.f64 c #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))))) c)
(/.f64 #s(literal -1 binary64) c)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))) c))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64)))) (pow.f64 c #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))) c))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64)))) (pow.f64 c #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64)))))) (pow.f64 d #s(literal 6 binary64))) (pow.f64 c #s(literal 6 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))))) c))
(/.f64 #s(literal 1 binary64) c)
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d
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c
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(*.f64 #s(literal -1 binary64) c)
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c
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d
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(*.f64 #s(literal -1 binary64) d)
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b
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a
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(*.f64 #s(literal -1 binary64) a)
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a
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b
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(*.f64 #s(literal -1 binary64) b)
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(*.f64 (/.f64 b d) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 b d)) (pow.f64 (cbrt.f64 (/.f64 b d)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 b d)))
(*.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (/.f64 (cbrt.f64 b) d))
(.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (.f64 (cbrt.f64 b) (/.f64 #s(literal 1 binary64) d)))
(*.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)))
(*.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) d))
(.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 #s(literal 1 binary64) d)))
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 d)))
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 b (cbrt.f64 d)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 b) d))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (cbrt.f64 (/.f64 b d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (sqrt.f64 d)) (/.f64 (cbrt.f64 b) (sqrt.f64 d)))
(*.f64 (/.f64 (sqrt.f64 b) #s(literal 1 binary64)) (/.f64 (sqrt.f64 b) d))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 (sqrt.f64 b) (cbrt.f64 d)))
(pow.f64 (/.f64 b d) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 b d)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 b d) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 b d)) #s(literal 2 binary64))
(pow.f64 (/.f64 d b) #s(literal -1 binary64))
(neg.f64 (/.f64 b (neg.f64 d)))
(neg.f64 (/.f64 (neg.f64 b) d))
(sqrt.f64 (pow.f64 (/.f64 b d) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 b d)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 b d))))
(cbrt.f64 (pow.f64 (/.f64 b d) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 b d)))
(log1p.f64 (expm1.f64 (/.f64 b d)))
(exp.f64 (log.f64 (/.f64 b d)))
(exp.f64 (*.f64 (log.f64 (/.f64 b d)) #s(literal 1 binary64)))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 (.f64 c a) #s(literal 1 binary64)) (*.f64 d b))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (*.f64 d b)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 d b)))
(.f64 (fma.f64 a c (.f64 d b)) #s(literal 1 binary64))
(.f64 (cbrt.f64 (fma.f64 a c (.f64 d b))) (cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 a c (.f64 d b)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 a c (*.f64 d b))))
(.f64 (sqrt.f64 (fma.f64 a c (.f64 d b))) (sqrt.f64 (fma.f64 a c (*.f64 d b))))
(/.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 c a) (.f64 c a)) (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (.f64 (.f64 c a) (*.f64 d b)))))
(/.f64 (-.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (-.f64 (.f64 c a) (.f64 d b)))
(pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 d b))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a c (*.f64 d b))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 a c (*.f64 d b))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 a c (*.f64 d b)))))
(cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 a c (*.f64 d b))))
(log1p.f64 (expm1.f64 (fma.f64 a c (*.f64 d b))))
(exp.f64 (log.f64 (fma.f64 a c (*.f64 d b))))
(exp.f64 (.f64 (log.f64 (fma.f64 a c (.f64 d b))) #s(literal 1 binary64)))

Outputs
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d #s(literal 2 binary64))))
(fma.f64 a (/.f64 c (pow.f64 d #s(literal 2 binary64))) (/.f64 b d))
(+.f64 (.f64 c (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) (/.f64 b d))
(fma.f64 c (fma.f64 #s(literal -1 binary64) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))
(fma.f64 c (-.f64 (/.f64 a (pow.f64 d #s(literal 2 binary64))) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64))))) (/.f64 b d))
(+.f64 (.f64 c (+.f64 (.f64 c (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) (pow.f64 d #s(literal 4 binary64)))) (/.f64 b (pow.f64 d #s(literal 3 binary64))))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) (/.f64 b d))
(fma.f64 c (fma.f64 c (-.f64 (/.f64 (*.f64 a (neg.f64 c)) (pow.f64 d #s(literal 4 binary64))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))
(fma.f64 c (fma.f64 c (-.f64 (*.f64 a (neg.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))
(/.f64 a c)
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (+.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))) (/.f64 (*.f64 b d) c))) c)
(/.f64 (+.f64 a (fma.f64 #s(literal -1 binary64) (.f64 a (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))) (.f64 b (/.f64 d c)))) c)
(/.f64 (+.f64 a (-.f64 (.f64 b (/.f64 d c)) (.f64 a (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))) c)
(/.f64 (-.f64 (+.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (.f64 b d) c))) (/.f64 (.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))) c)
(/.f64 (+.f64 a (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))) (.f64 b (/.f64 d c))) (*.f64 a (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))) c)
(/.f64 (+.f64 a (-.f64 (-.f64 (.f64 b (/.f64 d c)) (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 a (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))) c)
(/.f64 a c)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (.f64 b d) c))) c))
(neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 a (.f64 b (/.f64 d c)))) c))
(/.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) (neg.f64 c))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a (pow.f64 d #s(literal 2 binary64))) c)) (.f64 b d)) c))) c))
(neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 a (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 a (pow.f64 d #s(literal 2 binary64))) c) (*.f64 b d)) c))) c))
(/.f64 (-.f64 (neg.f64 a) (/.f64 (-.f64 (.f64 b d) (/.f64 (.f64 a (pow.f64 d #s(literal 2 binary64))) c)) c)) (neg.f64 c))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) c) (.f64 #s(literal -1 binary64) (.f64 a (pow.f64 d #s(literal 2 binary64))))) c)) (.f64 b d)) c))) c))
(neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 a (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) c)) (.f64 (neg.f64 a) (pow.f64 d #s(literal 2 binary64)))) c) (.f64 b d)) c))) c))
(/.f64 (-.f64 (neg.f64 a) (/.f64 (-.f64 (.f64 b d) (/.f64 (fma.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) c) (.f64 a (pow.f64 d #s(literal 2 binary64)))) c)) c)) (neg.f64 c))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c #s(literal 2 binary64))))
(+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c #s(literal 2 binary64)))))
(fma.f64 b (/.f64 d (pow.f64 c #s(literal 2 binary64))) (/.f64 a c))
(+.f64 (.f64 d (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 3 binary64)))) (/.f64 b (pow.f64 c #s(literal 2 binary64))))) (/.f64 a c))
(fma.f64 d (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 d a) (pow.f64 c #s(literal 3 binary64))) (/.f64 b (pow.f64 c #s(literal 2 binary64)))) (/.f64 a c))
(fma.f64 d (-.f64 (/.f64 b (pow.f64 c #s(literal 2 binary64))) (/.f64 (*.f64 d a) (pow.f64 c #s(literal 3 binary64)))) (/.f64 a c))
(+.f64 (.f64 d (+.f64 (.f64 d (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b d) (pow.f64 c #s(literal 4 binary64)))) (/.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 b (pow.f64 c #s(literal 2 binary64))))) (/.f64 a c))
(fma.f64 d (fma.f64 d (-.f64 (neg.f64 (*.f64 b (/.f64 d (pow.f64 c #s(literal 4 binary64))))) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (/.f64 b (pow.f64 c #s(literal 2 binary64)))) (/.f64 a c))
(fma.f64 d (fma.f64 d (-.f64 (*.f64 b (neg.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))))) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (/.f64 b (pow.f64 c #s(literal 2 binary64)))) (/.f64 a c))
(/.f64 b d)
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (+.f64 b (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 a c) d))) d)
(/.f64 (+.f64 b (fma.f64 #s(literal -1 binary64) (.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (.f64 a (/.f64 c d)))) d)
(/.f64 (+.f64 (-.f64 b (.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (.f64 a (/.f64 c d))) d)
(/.f64 (-.f64 (+.f64 b (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 d #s(literal 3 binary64)))) (/.f64 (.f64 a c) d))) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))) d)
(/.f64 (+.f64 b (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 a (pow.f64 (/.f64 c d) #s(literal 3 binary64))) (.f64 a (/.f64 c d))) (*.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) d)
(/.f64 (+.f64 b (-.f64 (-.f64 (.f64 a (/.f64 c d)) (.f64 a (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) (*.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) d)
(/.f64 b d)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) d))) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) d)) (.f64 a c)) d))) d))
(neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 b (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) d)) (*.f64 a c)) d))) d))
(/.f64 (-.f64 (neg.f64 b) (/.f64 (-.f64 (.f64 a c) (.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) d))) d)) (neg.f64 d))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 a (pow.f64 c #s(literal 3 binary64))) d) (.f64 #s(literal -1 binary64) (.f64 b (pow.f64 c #s(literal 2 binary64))))) d)) (.f64 a c)) d))) d))
(neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 b (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 a (/.f64 (pow.f64 c #s(literal 3 binary64)) d)) (.f64 (neg.f64 b) (pow.f64 c #s(literal 2 binary64)))) d) (.f64 a c)) d))) d))
(/.f64 (-.f64 (neg.f64 b) (/.f64 (-.f64 (.f64 a c) (/.f64 (fma.f64 a (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (.f64 b (pow.f64 c #s(literal 2 binary64)))) d)) d)) (neg.f64 d))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(*.f64 b (/.f64 d (+.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))
(*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(+.f64 (.f64 b (/.f64 d (+.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))) (/.f64 (.f64 a c) (+.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) #s(literal 2 binary64))) (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(+.f64 (.f64 b (/.f64 d (+.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))) (/.f64 (.f64 a c) (+.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) #s(literal 2 binary64))) (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(+.f64 (.f64 b (/.f64 d (+.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))) (/.f64 (.f64 a c) (+.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))
(fma.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) #s(literal 2 binary64))) (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) #s(literal 2 binary64))))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))
(/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))
(.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))
(.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))) (.f64 b (/.f64 d (*.f64 a (+.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))))))
(.f64 a (fma.f64 b (/.f64 d (.f64 a (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))) (/.f64 c (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))))
(.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))
(.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))) (.f64 b (/.f64 d (*.f64 a (+.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))))))
(.f64 a (fma.f64 b (/.f64 d (.f64 a (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))) (/.f64 c (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))))
(.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (.f64 b d) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))
(.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))) (.f64 b (/.f64 d (*.f64 a (+.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))))))
(.f64 a (fma.f64 b (/.f64 d (.f64 a (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))) (/.f64 c (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 a c) (+.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))
(/.f64 (*.f64 a c) (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))
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d
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c
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c
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d
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(fma.f64 d b (*.f64 a c))
(fma.f64 b d (*.f64 a c))
(/.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 c a) (.f64 c a)) (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (.f64 (.f64 c a) (*.f64 d b)))))
(/.f64 (+.f64 (pow.f64 (.f64 b d) #s(literal 3 binary64)) (pow.f64 (.f64 a c) #s(literal 3 binary64))) (-.f64 (+.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (pow.f64 (.f64 b d) #s(literal 2 binary64))) (.f64 (.f64 b d) (*.f64 a c))))
(/.f64 (+.f64 (pow.f64 (.f64 b d) #s(literal 3 binary64)) (pow.f64 (.f64 a c) #s(literal 3 binary64))) (-.f64 (fma.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)) (pow.f64 (.f64 b d) #s(literal 2 binary64))) (.f64 (.f64 b d) (.f64 a c))))
(/.f64 (-.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (-.f64 (.f64 c a) (.f64 d b)))
(/.f64 (-.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (pow.f64 (.f64 b d) #s(literal 2 binary64))) (fma.f64 c a (*.f64 d (neg.f64 b))))
(/.f64 (-.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (pow.f64 (.f64 b d) #s(literal 2 binary64))) (fma.f64 a c (*.f64 b (neg.f64 d))))
(pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 1 binary64))
(fma.f64 d b (*.f64 a c))
(fma.f64 b d (*.f64 a c))
(pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 d b))) #s(literal 3 binary64))
(fma.f64 d b (*.f64 a c))
(fma.f64 b d (*.f64 a c))
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 d b (*.f64 a c))
(fma.f64 b d (*.f64 a c))
(pow.f64 (sqrt.f64 (fma.f64 a c (*.f64 d b))) #s(literal 2 binary64))
(fma.f64 d b (*.f64 a c))
(fma.f64 b d (*.f64 a c))
(sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 d b (*.f64 a c)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 b d (*.f64 a c)))
(log.f64 (exp.f64 (fma.f64 a c (*.f64 d b))))
(fma.f64 d b (*.f64 a c))
(fma.f64 b d (*.f64 a c))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 a c (*.f64 d b)))))
(fma.f64 d b (*.f64 a c))
(fma.f64 b d (*.f64 a c))
(cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 3 binary64)))
(fma.f64 d b (*.f64 a c))
(fma.f64 b d (*.f64 a c))
(expm1.f64 (log1p.f64 (fma.f64 a c (*.f64 d b))))
(expm1.f64 (log1p.f64 (fma.f64 d b (*.f64 a c))))
(expm1.f64 (log1p.f64 (fma.f64 b d (*.f64 a c))))
(log1p.f64 (expm1.f64 (fma.f64 a c (*.f64 d b))))
(fma.f64 d b (*.f64 a c))
(fma.f64 b d (*.f64 a c))
(exp.f64 (log.f64 (fma.f64 a c (*.f64 d b))))
(fma.f64 d b (*.f64 a c))
(fma.f64 b d (*.f64 a c))
(exp.f64 (.f64 (log.f64 (fma.f64 a c (.f64 d b))) #s(literal 1 binary64)))
(fma.f64 d b (*.f64 a c))
(fma.f64 b d (*.f64 a c))

eval193.0ms (1.8%)

Compiler: Compiled 22 995 to 3 666 computations (84.1% saved)

prune296.0ms (2.8%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	1 124	11	1 135
Fresh	5	3	8
Picked	2	3	5
Done	0	0	0
Total	1 131	17	1 148

Accuracy

99.9%

Counts

1 148 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.2%	(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
▶	55.7%	(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
	56.1%	(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)
✓	55.8%	(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
	50.7%	(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c)
▶	52.6%	(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c)
✓	38.4%	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	35.7%	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
▶	42.8%	(/.f64 b d)
✓	40.7%	(/.f64 a c)
	40.2%	(/.f64 #s(literal 1 binary64) (/.f64 c a))
▶	69.9%	(/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b)))))
	38.6%	(.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (.f64 d b))
	57.3%	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
▶	28.2%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (neg.f64 b))
	31.8%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) a)
	40.5%	(*.f64 (/.f64 #s(literal 1 binary64) c) a)

Compiler

Compiled 389 to 248 computations (36.2% saved)

simplify118.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 b)
	cost-diff	0	(hypot.f64 c d)
	cost-diff	0	(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (neg.f64 b))
✓	cost-diff	-6272	(+.f64 b (/.f64 a (/.f64 d c)))
✓	cost-diff	-6272	(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
✓	cost-diff	0	(/.f64 d c)
✓	cost-diff	0	(/.f64 a (/.f64 d c))
✓	cost-diff	-6272	(+.f64 a (*.f64 b (/.f64 d c)))
✓	cost-diff	-6272	(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c)
✓	cost-diff	0	(/.f64 d c)
✓	cost-diff	0	(*.f64 b (/.f64 d c))
	cost-diff	0	(/.f64 b d)
✓	cost-diff	0	(/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 d b)))
	cost-diff	0	(hypot.f64 c d)
✓	cost-diff	6400	(.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b))))
✓	cost-diff	6528	(/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b)))))

Rules

1 702×	`fma-define`
663×	`div-sub`
614×	`fmm-def`
352×	`unsub-neg`
286×	`distribute-lft-neg-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	597
1	62	567
2	99	567
3	180	561
4	281	561
5	489	561
6	785	561
7	1176	561
8	1542	561
9	2193	561
10	3212	561
11	4767	561
12	7373	561

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b)))))
#s(literal 1 binary64)
(.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b))))
(hypot.f64 c d)
c
d
(/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 d b)))
(fma.f64 a c (*.f64 d b))
a
(*.f64 d b)
b
(/.f64 b d)
b
d
(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c)
(+.f64 a (*.f64 b (/.f64 d c)))
a
(*.f64 b (/.f64 d c))
b
(/.f64 d c)
d
c
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
(+.f64 b (/.f64 a (/.f64 d c)))
b
(/.f64 a (/.f64 d c))
a
(/.f64 d c)
d
c
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (neg.f64 b))
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
#s(literal 1 binary64)
(hypot.f64 c d)
c
d
(neg.f64 b)
b

Outputs
(/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (.f64 d d))) (fma.f64 a c (*.f64 d b)))
(.f64 (fma.f64 c a (.f64 d b)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
(/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 c c (.f64 d d)))
(/.f64 (fma.f64 c a (.f64 d b)) (fma.f64 d d (.f64 c c)))
#s(literal 1 binary64)
(.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b))))
(/.f64 (fma.f64 c c (.f64 d d)) (fma.f64 a c (.f64 d b)))
(/.f64 (fma.f64 c c (.f64 d d)) (fma.f64 c a (.f64 d b)))
(/.f64 (fma.f64 d d (.f64 c c)) (fma.f64 c a (.f64 d b)))
(hypot.f64 c d)
c
d
(/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 d b)))
(/.f64 (hypot.f64 c d) (fma.f64 c a (*.f64 d b)))
(fma.f64 a c (*.f64 d b))
(fma.f64 c a (*.f64 d b))
a
(*.f64 d b)
b
(/.f64 b d)
b
d
(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c)
(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(+.f64 a (*.f64 b (/.f64 d c)))
(+.f64 a (/.f64 (*.f64 d b) c))
(fma.f64 b (/.f64 d c) a)
(fma.f64 d (/.f64 b c) a)
a
(*.f64 b (/.f64 d c))
(/.f64 (*.f64 d b) c)
(*.f64 d (/.f64 b c))
b
(/.f64 d c)
d
c
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 b (/.f64 a (/.f64 d c)))
(+.f64 b (*.f64 (/.f64 a d) c))
(fma.f64 (/.f64 a d) c b)
(fma.f64 c (/.f64 a d) b)
b
(/.f64 a (/.f64 d c))
(*.f64 (/.f64 a d) c)
(*.f64 c (/.f64 a d))
a
(/.f64 d c)
d
c
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (neg.f64 b))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (hypot.f64 c d))
(/.f64 (neg.f64 b) (hypot.f64 c d))
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
#s(literal 1 binary64)
(hypot.f64 c d)
c
d
(neg.f64 b)
b

localize247.0ms (2.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(hypot.f64 c d)
✓	accuracy	100.0%	(neg.f64 b)
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (neg.f64 b))
✓	accuracy	100.0%	(/.f64 d c)
✓	accuracy	100.0%	(+.f64 b (/.f64 a (/.f64 d c)))
✓	accuracy	98.8%	(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
✓	accuracy	88.6%	(/.f64 a (/.f64 d c))
✓	accuracy	100.0%	(/.f64 d c)
✓	accuracy	100.0%	(+.f64 a (*.f64 b (/.f64 d c)))
✓	accuracy	98.1%	(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c)
✓	accuracy	90.0%	(*.f64 b (/.f64 d c))
	accuracy	100.0%	(/.f64 b d)
✓	accuracy	99.7%	(.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b))))
✓	accuracy	99.6%	(fma.f64 a c (*.f64 d b))
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b)))))
✓	accuracy	71.6%	(/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 d b)))

Samples

218.0ms

256×

valid

Compiler

Compiled 142 to 24 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-add: 158.0ms (84.7% of total)

ival-div: 13.0ms (7% of total)

ival-mult: 7.0ms (3.8% of total)

ival-hypot: 4.0ms (2.1% of total)

ival-fma: 3.0ms (1.6% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series76.0ms (0.7%)

Counts

13 → 504

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b)))))>
#<alt (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b))))>
#<alt (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 d b)))>
#<alt (*.f64 b (/.f64 d c))>
#<alt (/.f64 d c)>
#<alt (/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c)>
#<alt (+.f64 a (*.f64 b (/.f64 d c)))>
#<alt (/.f64 a (/.f64 d c))>
#<alt (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)>
#<alt (+.f64 b (/.f64 a (/.f64 d c)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (neg.f64 b))>
#<alt (neg.f64 b)>
#<alt (fma.f64 a c (*.f64 d b))>

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

Calls

132 calls:

Time	Variable		Point	Expression
11.0ms	d	@	inf	(* (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* d b))))
3.0ms	b	@	inf	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* d b)))
3.0ms	d	@	-inf	(* (/ 1 (sqrt (+ (* c c) (* d d)))) (neg b))
2.0ms	d	@	inf	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* d b)))
1.0ms	a	@	0	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* d b)))

rewrite298.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`log1p-expm1-u`
220×	`add-cube-cbrt`
220×	`expm1-log1p-u`
218×	`add-exp-log`
218×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	437
1	480	383
2	7403	383

Stop Event

1×	node limit

Counts

13 → 439

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b)))))
(.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b))))
(/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 d b)))
(*.f64 b (/.f64 d c))
(/.f64 d c)
(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c)
(+.f64 a (*.f64 b (/.f64 d c)))
(/.f64 a (/.f64 d c))
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
(+.f64 b (/.f64 a (/.f64 d c)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (neg.f64 b))
(neg.f64 b)
(fma.f64 a c (*.f64 d b))

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (fma.f64 a c (.f64 d b))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (fma.f64 a c (*.f64 d b))))
(.f64 (.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (fma.f64 a c (*.f64 d b))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 d b)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (neg.f64 (fma.f64 a c (.f64 d b))))))
(.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (fma.f64 a c (.f64 d b)))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (fma.f64 a c (*.f64 d b)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (fma.f64 a c (.f64 d b)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (fma.f64 a c (*.f64 d b)))))
(.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (fma.f64 a c (.f64 d b)))
(.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b)))))
(.f64 (sqrt.f64 (.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (fma.f64 a c (.f64 d b)))) (sqrt.f64 (.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (fma.f64 a c (*.f64 d b)))))
(.f64 (pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 a c (.f64 d b)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 a c (*.f64 d b)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 (fma.f64 a c (.f64 d b)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 (fma.f64 a c (*.f64 d b)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b)))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (cbrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 d b))))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b))))) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (sqrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 d b))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))) (hypot.f64 c d)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 d b)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b)))) #s(literal 2 binary64))) (cbrt.f64 (.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (fma.f64 a c (.f64 d b)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))) (sqrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b))))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) (sqrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 d b))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) (hypot.f64 c d)) (/.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 d b)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b)))) #s(literal 2 binary64))) (/.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) (cbrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 d b))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 1 binary64)) (/.f64 (fma.f64 a c (.f64 d b)) (hypot.f64 c d)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (neg.f64 (hypot.f64 c d))) (neg.f64 (fma.f64 a c (.f64 d b))))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 a c (*.f64 d b))) #s(literal -1 binary64))
(pow.f64 (.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (fma.f64 a c (.f64 d b))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (fma.f64 a c (.f64 d b)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (fma.f64 a c (.f64 d b))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (fma.f64 a c (.f64 d b)))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 a c (*.f64 d b)))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 a c (*.f64 d b))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (fma.f64 a c (.f64 d b)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (fma.f64 a c (.f64 d b))))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (fma.f64 a c (.f64 d b))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 3 binary64)) (pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 d b))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (fma.f64 a c (.f64 d b)))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (fma.f64 a c (.f64 d b)))))
(exp.f64 (log.f64 (.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (fma.f64 a c (.f64 d b)))))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 a c (.f64 d b)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (fma.f64 a c (*.f64 d b)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 a c (*.f64 d b))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (fma.f64 a c (.f64 d b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (*.f64 d b)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 (hypot.f64 c d) (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 a c (*.f64 d b))) #s(literal 1 binary64))
(/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 a c (*.f64 d b)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (neg.f64 (fma.f64 a c (*.f64 d b)))) #s(literal -1 binary64))
(/.f64 (.f64 (hypot.f64 c d) (neg.f64 (hypot.f64 c d))) (neg.f64 (fma.f64 a c (.f64 d b))))
(/.f64 (.f64 (neg.f64 (hypot.f64 c d)) (hypot.f64 c d)) (neg.f64 (fma.f64 a c (.f64 d b))))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (neg.f64 (fma.f64 a c (*.f64 d b))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 a c (*.f64 d b)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 d b))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 a c (.f64 d b))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 a c (.f64 d b)))) (sqrt.f64 (fma.f64 a c (.f64 d b))))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 a c (*.f64 d b))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 a c (*.f64 d b)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 a c (*.f64 d b))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (hypot.f64 c d) (sqrt.f64 (fma.f64 a c (*.f64 d b)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 a c (*.f64 d b))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 a c (*.f64 d b)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 a c (*.f64 d b))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 a c (*.f64 d b))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (hypot.f64 c d) #s(literal 3 binary64)) (pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b))) #s(literal 3 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 a c (*.f64 d b)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 a c (*.f64 d b)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 a c (*.f64 d b)))))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 a c (.f64 d b)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 d b))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b))))
(.f64 (hypot.f64 c d) (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 d b))))
(.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b))) #s(literal 1 binary64))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (hypot.f64 c d)) (fma.f64 a c (.f64 d b))))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (hypot.f64 c d)) (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 d b)))))
(.f64 (cbrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b)))) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 d b)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 d b)))))
(.f64 (sqrt.f64 (hypot.f64 c d)) (/.f64 (sqrt.f64 (hypot.f64 c d)) (fma.f64 a c (.f64 d b))))
(.f64 (sqrt.f64 (hypot.f64 c d)) (.f64 (sqrt.f64 (hypot.f64 c d)) (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 d b)))))
(.f64 (sqrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (.f64 d b)))) (sqrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 d b)))))
(.f64 (neg.f64 (hypot.f64 c d)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a c (.f64 d b)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 d b))) (hypot.f64 c d))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 d b))) #s(literal 2 binary64))) (/.f64 (hypot.f64 c d) (cbrt.f64 (fma.f64 a c (*.f64 d b)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a c (.f64 d b)))) (/.f64 (hypot.f64 c d) (sqrt.f64 (fma.f64 a c (*.f64 d b)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 c d)) (fma.f64 a c (.f64 d b))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 d b))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 d b)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 a c (.f64 d b)))) (/.f64 (cbrt.f64 (hypot.f64 c d)) (sqrt.f64 (fma.f64 a c (*.f64 d b)))))
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(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (/.f64 d c)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 a) (cbrt.f64 (/.f64 d c))))
(.f64 (.f64 (/.f64 a d) #s(literal 1 binary64)) c)
(.f64 (.f64 (/.f64 a d) (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (cbrt.f64 c))
(.f64 (.f64 (/.f64 a d) (sqrt.f64 c)) (sqrt.f64 c))
(*.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 c d))
(*.f64 (/.f64 a (neg.f64 d)) (neg.f64 c))
(pow.f64 (*.f64 c (/.f64 a d)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 c (/.f64 a d))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 c (/.f64 a d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 c (/.f64 a d))) #s(literal 2 binary64))
(pow.f64 (/.f64 d (*.f64 c a)) #s(literal -1 binary64))
(neg.f64 (/.f64 a (/.f64 d (neg.f64 c))))
(neg.f64 (/.f64 (neg.f64 a) (/.f64 d c)))
(sqrt.f64 (pow.f64 (*.f64 c (/.f64 a d)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 a) (/.f64 c d)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 c (/.f64 a d)))))
(cbrt.f64 (pow.f64 (*.f64 c (/.f64 a d)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 c (/.f64 a d))))
(log1p.f64 (expm1.f64 (*.f64 c (/.f64 a d))))
(exp.f64 (log.f64 (*.f64 c (/.f64 a d))))
(exp.f64 (.f64 (log.f64 (.f64 c (/.f64 a d))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (/.f64 c d) b) d))
(*.f64 (fma.f64 a (/.f64 c d) b) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) d))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) (/.f64 #s(literal 1 binary64) d)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)) (sqrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(*.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) d))
(.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (/.f64 #s(literal 1 binary64) d)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (fma.f64 a (/.f64 c d) b))
(.f64 (-.f64 b (.f64 c (/.f64 a d))) (/.f64 #s(literal 1 binary64) (neg.f64 d)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 (fma.f64 a (/.f64 c d) b) (cbrt.f64 d)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 d)) (/.f64 (fma.f64 a (/.f64 c d) b) (sqrt.f64 d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) d))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) #s(literal 2 binary64)) (sqrt.f64 d)) (/.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) (sqrt.f64 d)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) d))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (cbrt.f64 d)))
(pow.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(literal 2 binary64))
(pow.f64 (/.f64 d (fma.f64 a (/.f64 c d) b)) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (neg.f64 d)))
(neg.f64 (/.f64 (-.f64 b (*.f64 c (/.f64 a d))) d))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 a (/.f64 c d) b) #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(exp.f64 (log.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a (/.f64 c d) b))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 b (.f64 c (/.f64 a d)))) (/.f64 (pow.f64 (.f64 c (/.f64 a d)) #s(literal 2 binary64)) (-.f64 b (*.f64 c (/.f64 a d)))))
(*.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b))
(*.f64 (fma.f64 a (/.f64 c d) b) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 a (/.f64 c d) b)))
(*.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (sqrt.f64 (fma.f64 a (/.f64 c d) b)))
(.f64 (+.f64 (pow.f64 (.f64 c (/.f64 a d)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 (.f64 c (/.f64 a d)) (-.f64 (*.f64 c (/.f64 a d)) b)))))
(.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (.f64 c (/.f64 a d)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 b (*.f64 c (/.f64 a d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (.f64 (.f64 c (/.f64 a d)) (-.f64 (.f64 c (/.f64 a d)) b))) (+.f64 (pow.f64 (.f64 c (/.f64 a d)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (.f64 c (/.f64 a d))) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (.f64 c (/.f64 a d)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 c (/.f64 a d)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (.f64 (.f64 c (/.f64 a d)) (-.f64 (.f64 c (/.f64 a d)) b))))
(/.f64 (+.f64 (pow.f64 (.f64 c (/.f64 a d)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 c (/.f64 a d)) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 2 binary64)) (.f64 b (.f64 c (/.f64 a d))))))
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (.f64 c (/.f64 a d)) #s(literal 2 binary64))) (-.f64 b (.f64 c (/.f64 a d))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 c (/.f64 a d)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (.f64 (.f64 c (/.f64 a d)) (-.f64 (.f64 c (/.f64 a d)) b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (.f64 c (/.f64 a d)) #s(literal 2 binary64)))) (neg.f64 (-.f64 b (.f64 c (/.f64 a d)))))
(/.f64 (-.f64 (pow.f64 (.f64 c (/.f64 a d)) #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (-.f64 (.f64 c (/.f64 a d)) b))
(pow.f64 (fma.f64 a (/.f64 c d) b) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 a (/.f64 c d) b) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 a (/.f64 c d) b) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 a (/.f64 c d) b)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 a (/.f64 c d) b))))
(cbrt.f64 (pow.f64 (fma.f64 a (/.f64 c d) b) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 a (/.f64 c d) b)))
(log1p.f64 (expm1.f64 (fma.f64 a (/.f64 c d) b)))
(exp.f64 (log.f64 (fma.f64 a (/.f64 c d) b)))
(exp.f64 (*.f64 (log.f64 (fma.f64 a (/.f64 c d) b)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) b (*.f64 c (/.f64 a d)))
(fma.f64 #s(literal 1 binary64) (*.f64 c (/.f64 a d)) b)
(fma.f64 a (/.f64 c d) b)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 a d))) #s(literal 2 binary64)) (cbrt.f64 (.f64 c (/.f64 a d))) b)
(fma.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (cbrt.f64 b) (*.f64 c (/.f64 a d)))
(fma.f64 (sqrt.f64 (.f64 c (/.f64 a d))) (sqrt.f64 (.f64 c (/.f64 a d))) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (*.f64 c (/.f64 a d)))
(fma.f64 (/.f64 a d) c b)
(-.f64 #s(literal 0 binary64) (/.f64 b (hypot.f64 c d)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (hypot.f64 c d)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 c d) b))
(/.f64 b (hypot.f64 c d))
(/.f64 b (neg.f64 (hypot.f64 c d)))
(/.f64 (/.f64 b (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 b #s(literal 1 binary64)) (hypot.f64 c d))
(/.f64 (/.f64 b (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 c d)))
(pow.f64 (/.f64 b (hypot.f64 c d)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 b (hypot.f64 c d))) #s(literal 2 binary64))
(neg.f64 (/.f64 b (hypot.f64 c d)))
(sqrt.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 b (hypot.f64 c d))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 b (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 b (hypot.f64 c d))))
(log1p.f64 (expm1.f64 (/.f64 b (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 b (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 b (hypot.f64 c d))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) b)
(-.f64 #s(literal 0 binary64) b)
(-.f64 (exp.f64 (log1p.f64 b)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) b)
(*.f64 b #s(literal 1 binary64))
(*.f64 b #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) b)
(*.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (cbrt.f64 b))
(*.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 b)))
(*.f64 (sqrt.f64 b) (sqrt.f64 b))
(*.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b))
(*.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 b)) (sqrt.f64 b))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) b))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64))) b)
(pow.f64 b #s(literal 1 binary64))
(pow.f64 (cbrt.f64 b) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 b) #s(literal 2 binary64))
(pow.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 b #s(literal 2 binary64)))
(log.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 b)))
(cbrt.f64 (pow.f64 b #s(literal 3 binary64)))
b
(expm1.f64 (log1p.f64 b))
(log1p.f64 (expm1.f64 b))
(exp.f64 (log.f64 b))
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64)))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 (.f64 c a) #s(literal 1 binary64)) (*.f64 d b))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (*.f64 d b)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 d b)))
(.f64 (fma.f64 a c (.f64 d b)) #s(literal 1 binary64))
(.f64 (cbrt.f64 (fma.f64 a c (.f64 d b))) (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 d b))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 d b))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 a c (*.f64 d b))))
(.f64 (sqrt.f64 (fma.f64 a c (.f64 d b))) (sqrt.f64 (fma.f64 a c (*.f64 d b))))
(/.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 c a) (.f64 c a)) (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (.f64 (.f64 c a) (*.f64 d b)))))
(/.f64 (-.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (-.f64 (.f64 c a) (.f64 d b)))
(pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 d b))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a c (*.f64 d b))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 a c (*.f64 d b))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 a c (*.f64 d b)))))
(cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 a c (*.f64 d b))))
(log1p.f64 (expm1.f64 (fma.f64 a c (*.f64 d b))))
(exp.f64 (log.f64 (fma.f64 a c (*.f64 d b))))
(exp.f64 (.f64 (log.f64 (fma.f64 a c (.f64 d b))) #s(literal 1 binary64)))

simplify521.0ms (5%)

Algorithm

1×	egg-herbie

Rules

521×	`*-commutative`
315×	`mul-1-neg`
301×	`distribute-rgt-neg-in`
282×	`neg-sub0`
254×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1809	47538
1	5397	45982

Stop Event

1×	node limit

Counts

943 → 1 037

Calls

Call 1

Inputs
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d #s(literal 2 binary64))))
(+.f64 (.f64 c (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) (/.f64 b d))
(+.f64 (.f64 c (+.f64 (.f64 c (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) (pow.f64 d #s(literal 4 binary64)))) (/.f64 b (pow.f64 d #s(literal 3 binary64))))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) (/.f64 b d))
(/.f64 a c)
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))) (/.f64 (*.f64 b d) c))) c)
(/.f64 (-.f64 (+.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (.f64 b d) c))) (/.f64 (.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))) c)
(/.f64 a c)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (.f64 b d) c))) c))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a (pow.f64 d #s(literal 2 binary64))) c)) (.f64 b d)) c))) c))
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(/.f64 a c)
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) d))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) (/.f64 #s(literal 1 binary64) d)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)) (sqrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(*.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) d))
(.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (/.f64 #s(literal 1 binary64) d)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (fma.f64 a (/.f64 c d) b))
(.f64 (-.f64 b (.f64 c (/.f64 a d))) (/.f64 #s(literal 1 binary64) (neg.f64 d)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 (fma.f64 a (/.f64 c d) b) (cbrt.f64 d)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 d)) (/.f64 (fma.f64 a (/.f64 c d) b) (sqrt.f64 d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) d))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) #s(literal 2 binary64)) (sqrt.f64 d)) (/.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) (sqrt.f64 d)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) d))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (cbrt.f64 d)))
(pow.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(literal 2 binary64))
(pow.f64 (/.f64 d (fma.f64 a (/.f64 c d) b)) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (neg.f64 d)))
(neg.f64 (/.f64 (-.f64 b (*.f64 c (/.f64 a d))) d))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 a (/.f64 c d) b) #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(exp.f64 (log.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a (/.f64 c d) b))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 b #s(literal 2 binary64)) (-.f64 b (.f64 c (/.f64 a d)))) (/.f64 (pow.f64 (.f64 c (/.f64 a d)) #s(literal 2 binary64)) (-.f64 b (*.f64 c (/.f64 a d)))))
(*.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b))
(*.f64 (fma.f64 a (/.f64 c d) b) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 a (/.f64 c d) b)))
(*.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) (sqrt.f64 (fma.f64 a (/.f64 c d) b)))
(.f64 (+.f64 (pow.f64 (.f64 c (/.f64 a d)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 (.f64 c (/.f64 a d)) (-.f64 (*.f64 c (/.f64 a d)) b)))))
(.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (.f64 c (/.f64 a d)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 b (*.f64 c (/.f64 a d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (.f64 (.f64 c (/.f64 a d)) (-.f64 (.f64 c (/.f64 a d)) b))) (+.f64 (pow.f64 (.f64 c (/.f64 a d)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (.f64 c (/.f64 a d))) (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (.f64 c (/.f64 a d)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 c (/.f64 a d)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (.f64 (.f64 c (/.f64 a d)) (-.f64 (.f64 c (/.f64 a d)) b))))
(/.f64 (+.f64 (pow.f64 (.f64 c (/.f64 a d)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 c (/.f64 a d)) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 2 binary64)) (.f64 b (.f64 c (/.f64 a d))))))
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (.f64 c (/.f64 a d)) #s(literal 2 binary64))) (-.f64 b (.f64 c (/.f64 a d))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 c (/.f64 a d)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (.f64 (.f64 c (/.f64 a d)) (-.f64 (.f64 c (/.f64 a d)) b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (.f64 c (/.f64 a d)) #s(literal 2 binary64)))) (neg.f64 (-.f64 b (.f64 c (/.f64 a d)))))
(/.f64 (-.f64 (pow.f64 (.f64 c (/.f64 a d)) #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (-.f64 (.f64 c (/.f64 a d)) b))
(pow.f64 (fma.f64 a (/.f64 c d) b) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 a (/.f64 c d) b)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 a (/.f64 c d) b) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a (/.f64 c d) b)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 a (/.f64 c d) b) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 a (/.f64 c d) b)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 a (/.f64 c d) b))))
(cbrt.f64 (pow.f64 (fma.f64 a (/.f64 c d) b) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 a (/.f64 c d) b)))
(log1p.f64 (expm1.f64 (fma.f64 a (/.f64 c d) b)))
(exp.f64 (log.f64 (fma.f64 a (/.f64 c d) b)))
(exp.f64 (*.f64 (log.f64 (fma.f64 a (/.f64 c d) b)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) b (*.f64 c (/.f64 a d)))
(fma.f64 #s(literal 1 binary64) (*.f64 c (/.f64 a d)) b)
(fma.f64 a (/.f64 c d) b)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 c (/.f64 a d))) #s(literal 2 binary64)) (cbrt.f64 (.f64 c (/.f64 a d))) b)
(fma.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (cbrt.f64 b) (*.f64 c (/.f64 a d)))
(fma.f64 (sqrt.f64 (.f64 c (/.f64 a d))) (sqrt.f64 (.f64 c (/.f64 a d))) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (*.f64 c (/.f64 a d)))
(fma.f64 (/.f64 a d) c b)
(-.f64 #s(literal 0 binary64) (/.f64 b (hypot.f64 c d)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (hypot.f64 c d)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 c d) b))
(/.f64 b (hypot.f64 c d))
(/.f64 b (neg.f64 (hypot.f64 c d)))
(/.f64 (/.f64 b (sqrt.f64 (hypot.f64 c d))) (sqrt.f64 (hypot.f64 c d)))
(/.f64 (/.f64 b #s(literal 1 binary64)) (hypot.f64 c d))
(/.f64 (/.f64 b (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 c d)))
(pow.f64 (/.f64 b (hypot.f64 c d)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 b (hypot.f64 c d))) #s(literal 2 binary64))
(neg.f64 (/.f64 b (hypot.f64 c d)))
(sqrt.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 b (hypot.f64 c d))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 b (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 b (hypot.f64 c d))))
(log1p.f64 (expm1.f64 (/.f64 b (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 b (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 b (hypot.f64 c d))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) b)
(-.f64 #s(literal 0 binary64) b)
(-.f64 (exp.f64 (log1p.f64 b)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) b)
(*.f64 b #s(literal 1 binary64))
(*.f64 b #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) b)
(*.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (cbrt.f64 b))
(*.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 b)))
(*.f64 (sqrt.f64 b) (sqrt.f64 b))
(*.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b))
(*.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 b) #s(literal 2 binary64))) (cbrt.f64 b))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 b)) (sqrt.f64 b))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) b))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 2 binary64))) b)
(pow.f64 b #s(literal 1 binary64))
(pow.f64 (cbrt.f64 b) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 b) #s(literal 2 binary64))
(pow.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 b #s(literal 2 binary64)))
(log.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 b)))
(cbrt.f64 (pow.f64 b #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 b))
(log1p.f64 (expm1.f64 b))
(exp.f64 (log.f64 b))
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64)))
(+.f64 (.f64 d b) (.f64 c a))
(+.f64 (.f64 c a) (.f64 d b))
(+.f64 (.f64 (.f64 c a) #s(literal 1 binary64)) (*.f64 d b))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (*.f64 d b)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 d b)))
(.f64 (fma.f64 a c (.f64 d b)) #s(literal 1 binary64))
(.f64 (cbrt.f64 (fma.f64 a c (.f64 d b))) (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 d b))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 d b))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 a c (*.f64 d b))))
(.f64 (sqrt.f64 (fma.f64 a c (.f64 d b))) (sqrt.f64 (fma.f64 a c (*.f64 d b))))
(/.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 c a) (.f64 c a)) (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (.f64 (.f64 c a) (*.f64 d b)))))
(/.f64 (-.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (-.f64 (.f64 c a) (.f64 d b)))
(pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 d b))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a c (*.f64 d b))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 a c (*.f64 d b))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 a c (*.f64 d b)))))
(cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 a c (*.f64 d b))))
(log1p.f64 (expm1.f64 (fma.f64 a c (*.f64 d b))))
(exp.f64 (log.f64 (fma.f64 a c (*.f64 d b))))
(exp.f64 (.f64 (log.f64 (fma.f64 a c (.f64 d b))) #s(literal 1 binary64)))

Outputs
(/.f64 b d)
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d #s(literal 2 binary64))))
(+.f64 (/.f64 b d) (*.f64 a (/.f64 c (pow.f64 d #s(literal 2 binary64)))))
(+.f64 (.f64 c (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) (/.f64 b d))
(fma.f64 c (fma.f64 #s(literal -1 binary64) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))
(fma.f64 c (-.f64 (/.f64 a (pow.f64 d #s(literal 2 binary64))) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64))))) (/.f64 b d))
(+.f64 (.f64 c (+.f64 (.f64 c (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a c) (pow.f64 d #s(literal 4 binary64)))) (/.f64 b (pow.f64 d #s(literal 3 binary64))))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) (/.f64 b d))
(fma.f64 c (fma.f64 c (-.f64 (neg.f64 (/.f64 (*.f64 a c) (pow.f64 d #s(literal 4 binary64)))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))
(fma.f64 c (fma.f64 c (-.f64 (*.f64 (neg.f64 a) (/.f64 c (pow.f64 d #s(literal 4 binary64)))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))
(/.f64 a c)
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (+.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))) (/.f64 (*.f64 b d) c))) c)
(/.f64 (+.f64 a (fma.f64 #s(literal -1 binary64) (.f64 a (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))) (.f64 b (/.f64 d c)))) c)
(/.f64 (+.f64 a (-.f64 (.f64 b (/.f64 d c)) (.f64 a (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))) c)
(/.f64 (-.f64 (+.f64 a (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (.f64 b d) c))) (/.f64 (.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))) c)
(/.f64 (+.f64 a (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 b (pow.f64 (/.f64 d c) #s(literal 3 binary64))) (.f64 b (/.f64 d c))) (*.f64 a (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))) c)
(/.f64 (+.f64 a (-.f64 (-.f64 (.f64 b (/.f64 d c)) (.f64 b (pow.f64 (/.f64 d c) #s(literal 3 binary64)))) (*.f64 a (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))) c)
(/.f64 a c)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (.f64 b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 a (pow.f64 d #s(literal 2 binary64))) c)) (.f64 b d)) c))) c))
(neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 a (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 a (/.f64 (pow.f64 d #s(literal 2 binary64)) c)) (*.f64 b d)) c))) c))
(/.f64 (neg.f64 (-.f64 (neg.f64 a) (/.f64 (-.f64 (.f64 b d) (.f64 a (/.f64 (pow.f64 d #s(literal 2 binary64)) c))) c))) c)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) c) (.f64 #s(literal -1 binary64) (.f64 a (pow.f64 d #s(literal 2 binary64))))) c)) (.f64 b d)) c))) c))
(neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 a (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) c)) (.f64 (neg.f64 a) (pow.f64 d #s(literal 2 binary64)))) c) (.f64 b d)) c))) c))
(/.f64 (neg.f64 (-.f64 (neg.f64 a) (/.f64 (-.f64 (.f64 b d) (/.f64 (fma.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) c) (.f64 a (pow.f64 d #s(literal 2 binary64)))) c)) c))) c)
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (pow.f64 c #s(literal 2 binary64))))
(+.f64 (/.f64 a c) (*.f64 b (/.f64 d (pow.f64 c #s(literal 2 binary64)))))
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(fma.f64 d b (*.f64 a c))
(+.f64 (.f64 (.f64 c a) #s(literal 1 binary64)) (*.f64 d b))
(fma.f64 d b (*.f64 a c))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (*.f64 d b)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 d b (*.f64 a c))))
(.f64 #s(literal 1 binary64) (fma.f64 a c (.f64 d b)))
(fma.f64 d b (*.f64 a c))
(.f64 (fma.f64 a c (.f64 d b)) #s(literal 1 binary64))
(fma.f64 d b (*.f64 a c))
(.f64 (cbrt.f64 (fma.f64 a c (.f64 d b))) (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 d b))) #s(literal 2 binary64)))
(fma.f64 d b (*.f64 a c))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (.f64 d b))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 a c (*.f64 d b))))
(fma.f64 d b (*.f64 a c))
(.f64 (sqrt.f64 (fma.f64 a c (.f64 d b))) (sqrt.f64 (fma.f64 a c (*.f64 d b))))
(fma.f64 d b (*.f64 a c))
(/.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 d b) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 c a) (.f64 c a)) (-.f64 (pow.f64 (.f64 d b) #s(literal 2 binary64)) (.f64 (.f64 c a) (*.f64 d b)))))
(/.f64 (+.f64 (pow.f64 (.f64 b d) #s(literal 3 binary64)) (pow.f64 (.f64 a c) #s(literal 3 binary64))) (-.f64 (+.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (pow.f64 (.f64 b d) #s(literal 2 binary64))) (.f64 (.f64 a c) (*.f64 b d))))
(/.f64 (-.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 (.f64 d b) #s(literal 2 binary64))) (-.f64 (.f64 c a) (.f64 d b)))
(/.f64 (-.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (pow.f64 (.f64 b d) #s(literal 2 binary64))) (-.f64 (.f64 a c) (.f64 b d)))
(pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 1 binary64))
(fma.f64 d b (*.f64 a c))
(pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 d b))) #s(literal 3 binary64))
(fma.f64 d b (*.f64 a c))
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 d b (*.f64 a c))
(pow.f64 (sqrt.f64 (fma.f64 a c (*.f64 d b))) #s(literal 2 binary64))
(fma.f64 d b (*.f64 a c))
(sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 d b (*.f64 a c)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 d b (*.f64 a c)))
(log.f64 (exp.f64 (fma.f64 a c (*.f64 d b))))
(fma.f64 d b (*.f64 a c))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 a c (*.f64 d b)))))
(fma.f64 d b (*.f64 a c))
(cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 d b)) #s(literal 3 binary64)))
(fma.f64 d b (*.f64 a c))
(expm1.f64 (log1p.f64 (fma.f64 a c (*.f64 d b))))
(expm1.f64 (log1p.f64 (fma.f64 d b (*.f64 a c))))
(log1p.f64 (expm1.f64 (fma.f64 a c (*.f64 d b))))
(fma.f64 d b (*.f64 a c))
(exp.f64 (log.f64 (fma.f64 a c (*.f64 d b))))
(fma.f64 d b (*.f64 a c))
(exp.f64 (.f64 (log.f64 (fma.f64 a c (.f64 d b))) #s(literal 1 binary64)))
(fma.f64 d b (*.f64 a c))

eval352.0ms (3.4%)

Compiler: Compiled 34 545 to 5 766 computations (83.3% saved)

prune398.0ms (3.8%)

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	1 463	12	1 475
Fresh	3	6	9
Picked	2	3	5
Done	0	3	3
Total	1 468	24	1 492

Accuracy

99.9%

Counts

1 492 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.7%	(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
	55.7%	(/.f64 (+.f64 b (/.f64 a (*.f64 (/.f64 #s(literal 1 binary64) c) d))) d)
▶	56.1%	(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)
✓	55.8%	(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
	50.7%	(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c)
	52.6%	(/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c)
	50.6%	(/.f64 (+.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 d b)))) c)
✓	52.6%	(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c)
✓	38.4%	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	35.7%	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	10.3%	(/.f64 (neg.f64 b) d)
	10.2%	(/.f64 (neg.f64 b) c)
▶	28.3%	(/.f64 b (neg.f64 (hypot.f64 d c)))
✓	42.8%	(/.f64 b d)
▶	7.3%	(/.f64 b c)
✓	40.7%	(/.f64 a c)
▶	42.7%	(/.f64 #s(literal 1 binary64) (/.f64 d b))
	52.2%	(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 b (/.f64 d c) a)))
	40.2%	(/.f64 #s(literal 1 binary64) (/.f64 c a))
	45.0%	(/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 d c) (.f64 b d))))
	28.2%	(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 c d) (/.f64 #s(literal -1 binary64) b)))
▶	57.3%	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
	31.8%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) a)
	10.3%	(*.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 b))

Compiler

Compiled 498 to 333 computations (33.1% saved)

simplify437.0ms (4.2%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(hypot.f64 d c)
✓	cost-diff	0	(neg.f64 (hypot.f64 d c))
✓	cost-diff	0	(/.f64 b (neg.f64 (hypot.f64 d c)))
✓	cost-diff	-6272	(+.f64 b (*.f64 (/.f64 a d) c))
✓	cost-diff	-6272	(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)
✓	cost-diff	0	(/.f64 a d)
✓	cost-diff	0	(*.f64 (/.f64 a d) c)
✓	cost-diff	0	(/.f64 d b)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 d b))
✓	cost-diff	0	(/.f64 b c)
✓	cost-diff	0	(/.f64 b (hypot.f64 d c))
✓	cost-diff	0	(hypot.f64 d c)
✓	cost-diff	0	(/.f64 d (hypot.f64 d c))
✓	cost-diff	6400	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))

Rules

1 469×	`fma-define`
732×	`fmm-def`
422×	`div-sub`
392×	`times-frac`
267×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	370
1	50	362
2	78	356
3	101	352
4	165	352
5	250	352
6	388	352
7	476	352
8	706	352
9	1288	352
10	2429	352
11	3390	352
12	4753	352
13	6061	352
14	6341	352
15	6538	352
16	6599	352
17	6604	352
18	6792	352
19	6864	352
20	6864	352
21	6864	352
22	6916	352
23	7004	352
24	7228	352
25	7228	352

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
(/.f64 d (hypot.f64 d c))
d
(hypot.f64 d c)
c
(/.f64 b (hypot.f64 d c))
b
(/.f64 b c)
b
c
(/.f64 #s(literal 1 binary64) (/.f64 d b))
#s(literal 1 binary64)
(/.f64 d b)
d
b
(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)
(+.f64 b (*.f64 (/.f64 a d) c))
b
(*.f64 (/.f64 a d) c)
(/.f64 a d)
a
d
c
(/.f64 b (neg.f64 (hypot.f64 d c)))
b
(neg.f64 (hypot.f64 d c))
(hypot.f64 d c)
d
c

Outputs
(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
(*.f64 d (/.f64 (/.f64 b (hypot.f64 d c)) (hypot.f64 d c)))
(/.f64 (.f64 d b) (fma.f64 d d (.f64 c c)))
(.f64 d (/.f64 b (fma.f64 d d (.f64 c c))))
(/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b))
(/.f64 d (hypot.f64 d c))
d
(hypot.f64 d c)
c
(/.f64 b (hypot.f64 d c))
b
(/.f64 b c)
b
c
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 b (/.f64 #s(literal 1 binary64) d))
(/.f64 b d)
#s(literal 1 binary64)
(/.f64 d b)
d
b
(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 b (*.f64 (/.f64 a d) c))
(+.f64 b (/.f64 (*.f64 a c) d))
(fma.f64 c (/.f64 a d) b)
b
(*.f64 (/.f64 a d) c)
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(/.f64 a d)
a
d
c
(/.f64 b (neg.f64 (hypot.f64 d c)))
(/.f64 (neg.f64 b) (hypot.f64 d c))
b
(neg.f64 (hypot.f64 d c))
(hypot.f64 d c)
d
c

localize134.0ms (1.3%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(hypot.f64 d c)
✓	accuracy	100.0%	(neg.f64 (hypot.f64 d c))
✓	accuracy	100.0%	(/.f64 b (neg.f64 (hypot.f64 d c)))
✓	accuracy	100.0%	(/.f64 a d)
✓	accuracy	100.0%	(+.f64 b (*.f64 (/.f64 a d) c))
✓	accuracy	98.8%	(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)
✓	accuracy	94.4%	(*.f64 (/.f64 a d) c)
✓	accuracy	100.0%	(/.f64 d b)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 d b))
✓	accuracy	100.0%	(/.f64 b c)
✓	accuracy	100.0%	(hypot.f64 d c)
✓	accuracy	100.0%	(/.f64 d (hypot.f64 d c))
✓	accuracy	100.0%	(/.f64 b (hypot.f64 d c))
✓	accuracy	96.2%	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))

Samples

54.0ms

256×

valid

Compiler

Compiled 89 to 20 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 17.0ms (54.1% of total)

ival-hypot: 9.0ms (28.7% of total)

ival-mult: 3.0ms (9.6% of total)

ival-add: 1.0ms (3.2% of total)

ival-neg: 1.0ms (3.2% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series32.0ms (0.3%)

Counts

13 → 336

Calls

Call 1

Inputs
#<alt (*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))>
#<alt (/.f64 d (hypot.f64 d c))>
#<alt (hypot.f64 d c)>
#<alt (/.f64 b (hypot.f64 d c))>
#<alt (/.f64 b c)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 d b))>
#<alt (/.f64 d b)>
#<alt (*.f64 (/.f64 a d) c)>
#<alt (/.f64 a d)>
#<alt (/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)>
#<alt (+.f64 b (*.f64 (/.f64 a d) c))>
#<alt (/.f64 b (neg.f64 (hypot.f64 d c)))>
#<alt (neg.f64 (hypot.f64 d c))>

Outputs
#<alt (/.f64 (*.f64 b d) (pow.f64 c #s(literal 2 binary64)))>
#<alt (.f64 d (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 b (pow.f64 c #s(literal 2 binary64)))))>
#<alt (.f64 d (+.f64 (.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 6 binary64))) (/.f64 b (pow.f64 c #s(literal 4 binary64))))) (/.f64 b (pow.f64 c #s(literal 2 binary64)))))>
#<alt (.f64 d (+.f64 (.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 8 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 b (pow.f64 c #s(literal 6 binary64)))))) (/.f64 b (pow.f64 c #s(literal 4 binary64))))) (/.f64 b (pow.f64 c #s(literal 2 binary64)))))>
#<alt (/.f64 b d)>
#<alt (/.f64 (+.f64 b (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))))) d)>
#<alt (/.f64 (-.f64 (+.f64 b (/.f64 (.f64 b (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))) d)>
#<alt (/.f64 (-.f64 (+.f64 b (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))))) d)>
#<alt (/.f64 b d)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))) d))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))))) d))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))) (/.f64 (.f64 b (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64)))))) d))>
#<alt (/.f64 b d)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 3 binary64)))) (/.f64 b d))>
#<alt (+.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 5 binary64))) (/.f64 b (pow.f64 d #s(literal 3 binary64))))) (/.f64 b d))>
#<alt (+.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 7 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 b (pow.f64 d #s(literal 5 binary64)))))) (/.f64 b (pow.f64 d #s(literal 3 binary64))))) (/.f64 b d))>
#<alt (/.f64 (*.f64 b d) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64)))) (*.f64 b d)) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 b d) (/.f64 (.f64 b (pow.f64 d #s(literal 5 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (*.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64)))) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 7 binary64))) (pow.f64 c #s(literal 6 binary64)))) (.f64 b d)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 5 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64))))) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 b d) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64)))) (*.f64 b d)) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 b d) (/.f64 (.f64 b (pow.f64 d #s(literal 5 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (*.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64)))) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 7 binary64))) (pow.f64 c #s(literal 6 binary64)))) (.f64 b d)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 5 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64))))) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 d c)>
#<alt (.f64 d (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) c)))>
#<alt (.f64 d (+.f64 (.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) c)))>
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#<alt #s(literal 1 binary64)>
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#<alt #s(literal 1 binary64)>
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#<alt (/.f64 d c)>
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#<alt c>
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#<alt (*.f64 #s(literal -1 binary64) d)>
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#<alt c>
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#<alt (*.f64 #s(literal -1 binary64) c)>
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#<alt (/.f64 b c)>
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#<alt (/.f64 b d)>
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#<alt (/.f64 b d)>
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#<alt (/.f64 b c)>
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#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 c #s(literal 4 binary64))))) (pow.f64 d #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))))) d))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 c #s(literal 4 binary64))))) (pow.f64 d #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 c #s(literal 4 binary64)))))) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 d #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))))))) d))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 b d))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 b d)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 3 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 b d)) (.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/8 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 b (pow.f64 d #s(literal 3 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 b d)) (.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/8 binary64) (/.f64 b (pow.f64 d #s(literal 5 binary64)))) (.f64 #s(literal 5/16 binary64) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 7 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 b c))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64))))) c)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64))))) (pow.f64 c #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))))) c)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64))))) (pow.f64 c #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64)))))) (pow.f64 d #s(literal 6 binary64)))) (pow.f64 c #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64))))))) c)>
#<alt (/.f64 b c)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64))))) c))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64))))) (pow.f64 c #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))))) c))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64))))) (pow.f64 c #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64)))))) (pow.f64 d #s(literal 6 binary64)))) (pow.f64 c #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64))))))) c))>
#<alt (*.f64 #s(literal -1 binary64) c)>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) c)) c)>
#<alt (-.f64 (.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) c)))) c)>
#<alt (-.f64 (.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) c)))) c)>
#<alt (*.f64 #s(literal -1 binary64) d)>
#<alt (.f64 d (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (.f64 d (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (.f64 d (-.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))))>
#<alt d>
#<alt (.f64 #s(literal -1 binary64) (.f64 d (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 d (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 d (-.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) d)>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) d)) d)>
#<alt (-.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) d)))) d)>
#<alt (-.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) d)))) d)>
#<alt (*.f64 #s(literal -1 binary64) c)>
#<alt (.f64 c (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (.f64 c (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))))>
#<alt (.f64 c (-.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))))))>
#<alt c>
#<alt (.f64 #s(literal -1 binary64) (.f64 c (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 c (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 c (-.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))))))>

Calls

102 calls:

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

rewrite272.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1 221×	`log1p-expm1-u`
186×	`expm1-log1p-u`
184×	`add-exp-log`
184×	`add-log-exp`
184×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	292
1	411	266
2	6319	266

Stop Event

1×	node limit

Counts

13 → 479

Calls

Call 1

Inputs
(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
(/.f64 d (hypot.f64 d c))
(hypot.f64 d c)
(/.f64 b (hypot.f64 d c))
(/.f64 b c)
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(/.f64 d b)
(*.f64 (/.f64 a d) c)
(/.f64 a d)
(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)
(+.f64 b (*.f64 (/.f64 a d) c))
(/.f64 b (neg.f64 (hypot.f64 d c)))
(neg.f64 (hypot.f64 d c))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 d (*.f64 (hypot.f64 d c) (/.f64 (hypot.f64 d c) b)))
(/.f64 d (*.f64 (/.f64 (hypot.f64 d c) b) (hypot.f64 d c)))
(/.f64 (/.f64 d (hypot.f64 d c)) (/.f64 (hypot.f64 d c) b))
(/.f64 b (*.f64 (hypot.f64 d c) (/.f64 (hypot.f64 d c) d)))
(/.f64 b (*.f64 (/.f64 (hypot.f64 d c) d) (hypot.f64 d c)))
(/.f64 (/.f64 b (hypot.f64 d c)) (/.f64 (hypot.f64 d c) d))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 d c) d) (/.f64 (hypot.f64 d c) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 d c) b) (/.f64 (hypot.f64 d c) d)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)) (*.f64 d b)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 d c) (/.f64 b (/.f64 (hypot.f64 d c) d))))
(/.f64 (*.f64 d b) (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))
(/.f64 (neg.f64 b) (*.f64 (/.f64 (hypot.f64 d c) d) (hypot.f64 d c)))
(/.f64 (neg.f64 d) (*.f64 (/.f64 (hypot.f64 d c) b) (hypot.f64 d c)))
(/.f64 (/.f64 b (/.f64 (hypot.f64 d c) d)) (hypot.f64 d c))
(/.f64 (.f64 (neg.f64 d) #s(literal 1 binary64)) (.f64 (hypot.f64 d c) (/.f64 (hypot.f64 d c) b)))
(/.f64 (.f64 (neg.f64 b) #s(literal 1 binary64)) (.f64 (hypot.f64 d c) (/.f64 (hypot.f64 d c) d)))
(/.f64 (*.f64 d (neg.f64 b)) (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 d) b) (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 d) (neg.f64 b)) (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))
(/.f64 (*.f64 b (neg.f64 d)) (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 b) d) (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 b) (neg.f64 d)) (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 d b)) (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))
(/.f64 (neg.f64 (/.f64 b (/.f64 (hypot.f64 d c) d))) (hypot.f64 d c))
(/.f64 (*.f64 (/.f64 d (hypot.f64 d c)) (neg.f64 b)) (hypot.f64 d c))
(/.f64 (*.f64 (/.f64 b (hypot.f64 d c)) (neg.f64 d)) (hypot.f64 d c))
(/.f64 (*.f64 (neg.f64 d) (/.f64 b (hypot.f64 d c))) (hypot.f64 d c))
(/.f64 (*.f64 (neg.f64 b) (/.f64 d (hypot.f64 d c))) (hypot.f64 d c))
(/.f64 (/.f64 (/.f64 b (/.f64 (hypot.f64 d c) d)) #s(literal 1 binary64)) (hypot.f64 d c))
(/.f64 (/.f64 (/.f64 b (/.f64 (hypot.f64 d c) d)) (pow.f64 (cbrt.f64 (hypot.f64 d c)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 d c)))
(/.f64 (/.f64 (/.f64 b (/.f64 (hypot.f64 d c) d)) (sqrt.f64 (hypot.f64 d c))) (sqrt.f64 (hypot.f64 d c)))
(pow.f64 (*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 d b)) (hypot.f64 d c)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 d (hypot.f64 d c)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (hypot.f64 d c)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 b (hypot.f64 d c)) #s(literal 3 binary64)) (pow.f64 (/.f64 d (hypot.f64 d c)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 d (/.f64 b (pow.f64 (hypot.f64 d c) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 d (hypot.f64 d c)))) #s(literal 1 binary64))
(*.f64 d (/.f64 #s(literal 1 binary64) (hypot.f64 d c)))
(*.f64 (/.f64 d (hypot.f64 d c)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 d (hypot.f64 d c)))
(*.f64 (cbrt.f64 (/.f64 d (hypot.f64 d c))) (pow.f64 (cbrt.f64 (/.f64 d (hypot.f64 d c))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 d (hypot.f64 d c))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 d (hypot.f64 d c))))
(*.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) (/.f64 (cbrt.f64 d) (hypot.f64 d c)))
(.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) (.f64 (cbrt.f64 d) (/.f64 #s(literal 1 binary64) (hypot.f64 d c))))
(*.f64 (sqrt.f64 (/.f64 d (hypot.f64 d c))) (sqrt.f64 (/.f64 d (hypot.f64 d c))))
(*.f64 (sqrt.f64 d) (/.f64 (sqrt.f64 d) (hypot.f64 d c)))
(.f64 (sqrt.f64 d) (.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (hypot.f64 d c))))
(*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (hypot.f64 d c)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 d c)) d)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 d) (hypot.f64 d c)))
(*.f64 (/.f64 (sqrt.f64 d) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (hypot.f64 d c)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 d c)) #s(literal 2 binary64))) (/.f64 d (cbrt.f64 (hypot.f64 d c))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 d c))) (/.f64 d (sqrt.f64 (hypot.f64 d c))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 d c)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 d (hypot.f64 d c))))
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(*.f64 (/.f64 (sqrt.f64 d) (pow.f64 (cbrt.f64 (hypot.f64 d c)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (cbrt.f64 (hypot.f64 d c))))
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (hypot.f64 d c) #s(literal 2 binary64))) (hypot.f64 d c))
(pow.f64 (hypot.f64 d c) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 d c)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 d c) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 d c)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 d c)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 d c))))
(cbrt.f64 (pow.f64 (hypot.f64 d c) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 d c)))
(hypot.f64 d c)
(log1p.f64 (expm1.f64 (hypot.f64 d c)))
(exp.f64 (log.f64 (hypot.f64 d c)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 d c)) #s(literal 1 binary64)))

simplify371.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

688×	`associate-r`
672×	`fma-define`
537×	`times-frac`
357×	`*-commutative`
309×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1321	29863
1	3419	28679

Stop Event

1×	node limit

Counts

815 → 844

Calls

Call 1

Inputs
(/.f64 (*.f64 b d) (pow.f64 c #s(literal 2 binary64)))
(.f64 d (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 b (pow.f64 c #s(literal 2 binary64)))))
(.f64 d (+.f64 (.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 6 binary64))) (/.f64 b (pow.f64 c #s(literal 4 binary64))))) (/.f64 b (pow.f64 c #s(literal 2 binary64)))))
(.f64 d (+.f64 (.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 8 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 b (pow.f64 c #s(literal 6 binary64)))))) (/.f64 b (pow.f64 c #s(literal 4 binary64))))) (/.f64 b (pow.f64 c #s(literal 2 binary64)))))
(/.f64 b d)
(/.f64 (+.f64 b (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))))) d)
(/.f64 (-.f64 (+.f64 b (/.f64 (.f64 b (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))) d)
(/.f64 (-.f64 (+.f64 b (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))))) d)
(/.f64 b d)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))) d))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))))) d))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))) (/.f64 (.f64 b (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64)))))) d))
(/.f64 b d)
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 3 binary64)))) (/.f64 b d))
(+.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 5 binary64))) (/.f64 b (pow.f64 d #s(literal 3 binary64))))) (/.f64 b d))
(+.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 7 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 b (pow.f64 d #s(literal 5 binary64)))))) (/.f64 b (pow.f64 d #s(literal 3 binary64))))) (/.f64 b d))
(/.f64 (*.f64 b d) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64)))) (*.f64 b d)) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 b d) (/.f64 (.f64 b (pow.f64 d #s(literal 5 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (*.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64)))) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 7 binary64))) (pow.f64 c #s(literal 6 binary64)))) (.f64 b d)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 5 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64))))) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (*.f64 b d) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64)))) (*.f64 b d)) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 b d) (/.f64 (.f64 b (pow.f64 d #s(literal 5 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (*.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64)))) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 7 binary64))) (pow.f64 c #s(literal 6 binary64)))) (.f64 b d)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 5 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64))))) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(/.f64 d c)
(.f64 d (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) c)))
(.f64 d (+.f64 (.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) c)))
(.f64 d (+.f64 (.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 7 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) c)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 d #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 d #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 c #s(literal 4 binary64)))))) (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 d #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 d #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 c #s(literal 4 binary64)))))) (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 6 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 2 binary64)))))))
(/.f64 d c)
(/.f64 (+.f64 d (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 2 binary64))))) c)
(/.f64 (+.f64 d (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 d (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64))))) (pow.f64 c #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 2 binary64)))))) c)
(/.f64 (+.f64 d (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 d (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64))))) (pow.f64 c #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 d (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64)))))) (pow.f64 d #s(literal 6 binary64)))) (pow.f64 c #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 2 binary64))))))) c)
(*.f64 #s(literal -1 binary64) (/.f64 d c))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 d (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 2 binary64))))) c))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 d (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 d (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64))))) (pow.f64 c #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 2 binary64)))))) c))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 d (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 d (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64))))) (pow.f64 c #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 d (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64)))))) (pow.f64 d #s(literal 6 binary64)))) (pow.f64 c #s(literal 6 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 2 binary64))))))) c))
c
(+.f64 c (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) c)))
(+.f64 c (.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) c)))))
(+.f64 c (.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) c)))))
d
(.f64 d (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))
(.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))
(.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) d)
(.f64 #s(literal -1 binary64) (.f64 d (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))
d
(+.f64 d (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) d)))
(+.f64 d (.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) d)))))
(+.f64 d (.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) d)))))
c
(.f64 c (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))))
(.f64 c (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))))
(.f64 c (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) c)
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(pow.f64 (/.f64 b (hypot.f64 d c)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 d c))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 b (hypot.f64 d c)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 b (hypot.f64 d c))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 d c) b) #s(literal -1 binary64))
(neg.f64 (/.f64 b (hypot.f64 d c)))
(sqrt.f64 (pow.f64 (/.f64 b (hypot.f64 d c)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 b (hypot.f64 d c))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 b (hypot.f64 d c)))))
(cbrt.f64 (pow.f64 (/.f64 b (hypot.f64 d c)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (hypot.f64 d c) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 b (hypot.f64 d c))))
(log1p.f64 (expm1.f64 (/.f64 b (hypot.f64 d c))))
(exp.f64 (log.f64 (/.f64 b (hypot.f64 d c))))
(exp.f64 (*.f64 (log.f64 (/.f64 b (hypot.f64 d c))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (hypot.f64 d c))
(-.f64 #s(literal 0 binary64) (hypot.f64 d c))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 d c))) #s(literal 1 binary64))
(*.f64 (hypot.f64 d c) #s(literal 1 binary64))
(*.f64 (hypot.f64 d c) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 d c))
(*.f64 #s(literal -1 binary64) (hypot.f64 d c))
(*.f64 (cbrt.f64 (hypot.f64 d c)) (pow.f64 (cbrt.f64 (hypot.f64 d c)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 d c)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (hypot.f64 d c))))
(*.f64 (sqrt.f64 (hypot.f64 d c)) (sqrt.f64 (hypot.f64 d c)))
(*.f64 (sqrt.f64 (hypot.f64 d c)) (neg.f64 (sqrt.f64 (hypot.f64 d c))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 d c)))
(*.f64 (neg.f64 (sqrt.f64 (hypot.f64 d c))) (sqrt.f64 (hypot.f64 d c)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 d c)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 d c)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (hypot.f64 d c))) (sqrt.f64 (hypot.f64 d c)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (hypot.f64 d c) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (hypot.f64 d c)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (hypot.f64 d c) #s(literal 2 binary64))) (hypot.f64 d c))
(pow.f64 (hypot.f64 d c) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 d c)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 d c) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 d c)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 d c)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 d c))))
(cbrt.f64 (pow.f64 (hypot.f64 d c) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 d c)))
(hypot.f64 d c)
(log1p.f64 (expm1.f64 (hypot.f64 d c)))
(exp.f64 (log.f64 (hypot.f64 d c)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 d c)) #s(literal 1 binary64)))

Outputs
(/.f64 (*.f64 b d) (pow.f64 c #s(literal 2 binary64)))
(*.f64 b (/.f64 d (pow.f64 c #s(literal 2 binary64))))
(.f64 d (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 b (pow.f64 c #s(literal 2 binary64)))))
(.f64 d (fma.f64 #s(literal -1 binary64) (.f64 b (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 b (pow.f64 c #s(literal 2 binary64)))))
(.f64 d (-.f64 (/.f64 b (pow.f64 c #s(literal 2 binary64))) (.f64 b (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 4 binary64))))))
(.f64 d (+.f64 (.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 6 binary64))) (/.f64 b (pow.f64 c #s(literal 4 binary64))))) (/.f64 b (pow.f64 c #s(literal 2 binary64)))))
(.f64 d (fma.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (.f64 b (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (/.f64 b (pow.f64 c #s(literal 2 binary64)))))
(.f64 d (+.f64 (.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 8 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 b (pow.f64 c #s(literal 6 binary64)))))) (/.f64 b (pow.f64 c #s(literal 4 binary64))))) (/.f64 b (pow.f64 c #s(literal 2 binary64)))))
(.f64 d (fma.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 d #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (-.f64 (.f64 b (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 8 binary64)))) (/.f64 b (pow.f64 c #s(literal 6 binary64)))))) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (/.f64 b (pow.f64 c #s(literal 2 binary64)))))
(.f64 d (fma.f64 (pow.f64 d #s(literal 2 binary64)) (fma.f64 (pow.f64 d #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (.f64 b (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 8 binary64)))) (/.f64 b (pow.f64 c #s(literal 6 binary64)))) (/.f64 b (neg.f64 (pow.f64 c #s(literal 4 binary64))))) (/.f64 b (pow.f64 c #s(literal 2 binary64)))))
(/.f64 b d)
(/.f64 (+.f64 b (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))))) d)
(/.f64 (+.f64 b (neg.f64 (*.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) d)
(/.f64 (-.f64 b (*.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) d)
(/.f64 (-.f64 (+.f64 b (/.f64 (.f64 b (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))) d)
(/.f64 (-.f64 (+.f64 b (.f64 b (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) d)
(/.f64 (+.f64 b (*.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) d)
(/.f64 (-.f64 (+.f64 b (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))))) d)
(/.f64 (+.f64 b (-.f64 (neg.f64 (/.f64 (.f64 b (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64)))) (fma.f64 #s(literal -1 binary64) (.f64 b (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))) d)
(/.f64 (-.f64 (-.f64 b (.f64 b (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))))) (-.f64 (.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (*.f64 b (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))))) d)
(/.f64 b d)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))) d))
(/.f64 (+.f64 b (neg.f64 (*.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) d)
(/.f64 (-.f64 b (*.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) d)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))))) d))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (fma.f64 #s(literal -1 binary64) (.f64 b (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) d))
(/.f64 (+.f64 (neg.f64 (fma.f64 b (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) b)) (*.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (neg.f64 d))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) b) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))) (/.f64 (.f64 b (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64)))))) d))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (+.f64 (fma.f64 #s(literal -1 binary64) (.f64 b (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (/.f64 (*.f64 b (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))))) d))
(/.f64 (+.f64 (neg.f64 (fma.f64 b (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) b)) (*.f64 b (+.f64 (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))))) (neg.f64 d))
(/.f64 b d)
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 3 binary64)))) (/.f64 b d))
(fma.f64 #s(literal -1 binary64) (*.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 3 binary64)))) (/.f64 b d))
(-.f64 (/.f64 b d) (*.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 3 binary64)))))
(+.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 5 binary64))) (/.f64 b (pow.f64 d #s(literal 3 binary64))))) (/.f64 b d))
(fma.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 5 binary64)))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 b d))
(fma.f64 (pow.f64 c #s(literal 2 binary64)) (fma.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 5 binary64))) (/.f64 b (neg.f64 (pow.f64 d #s(literal 3 binary64))))) (/.f64 b d))
(+.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 7 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 b (pow.f64 d #s(literal 5 binary64)))))) (/.f64 b (pow.f64 d #s(literal 3 binary64))))) (/.f64 b d))
(fma.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 c #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (-.f64 (*.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 7 binary64)))) (/.f64 b (pow.f64 d #s(literal 5 binary64)))))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 b d))
(fma.f64 (pow.f64 c #s(literal 2 binary64)) (fma.f64 (pow.f64 c #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (*.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 7 binary64)))) (/.f64 b (pow.f64 d #s(literal 5 binary64)))) (/.f64 b (neg.f64 (pow.f64 d #s(literal 3 binary64))))) (/.f64 b d))
(/.f64 (*.f64 b d) (pow.f64 c #s(literal 2 binary64)))
(*.f64 b (/.f64 d (pow.f64 c #s(literal 2 binary64))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64)))) (*.f64 b d)) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 2 binary64)))) (.f64 b d)) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 b d) (.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 2 binary64))))) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 b d) (/.f64 (.f64 b (pow.f64 d #s(literal 5 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (*.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64)))) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 b d (.f64 b (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))))) (.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 2 binary64))))) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (fma.f64 b d (*.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 2 binary64)))))) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 7 binary64))) (pow.f64 c #s(literal 6 binary64)))) (.f64 b d)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 5 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64))))) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 b (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64)))) (.f64 b d)) (fma.f64 #s(literal -1 binary64) (.f64 b (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64)))) (.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 2 binary64)))))) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (-.f64 (-.f64 (.f64 b d) (.f64 b (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64))))) (-.f64 (.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 2 binary64)))) (.f64 b (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64)))))) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (*.f64 b d) (pow.f64 c #s(literal 2 binary64)))
(*.f64 b (/.f64 d (pow.f64 c #s(literal 2 binary64))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64)))) (*.f64 b d)) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 2 binary64)))) (.f64 b d)) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 b d) (.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 2 binary64))))) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 b d) (/.f64 (.f64 b (pow.f64 d #s(literal 5 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (*.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64)))) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 b d (.f64 b (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))))) (.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 2 binary64))))) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (fma.f64 b d (*.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 2 binary64)))))) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 7 binary64))) (pow.f64 c #s(literal 6 binary64)))) (.f64 b d)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 b (pow.f64 d #s(literal 5 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64))))) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 b (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64)))) (.f64 b d)) (fma.f64 #s(literal -1 binary64) (.f64 b (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64)))) (.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 2 binary64)))))) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (-.f64 (-.f64 (.f64 b d) (.f64 b (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64))))) (-.f64 (.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 2 binary64)))) (.f64 b (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64)))))) (pow.f64 c #s(literal 2 binary64)))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(*.f64 b (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) #s(literal 2 binary64))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(*.f64 b (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) #s(literal 2 binary64))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(*.f64 b (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) #s(literal 2 binary64))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(*.f64 b (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(*.f64 b (/.f64 d (pow.f64 (hypot.f64 d c) #s(literal 2 binary64))))
(/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))
(*.f64 b (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
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(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64))) (-.f64 b (.f64 (/.f64 c d) a)))
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (.f64 c (/.f64 a d)) #s(literal 2 binary64))) (-.f64 b (.f64 c (/.f64 a d))))
(/.f64 (+.f64 (pow.f64 (/.f64 c (/.f64 d a)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (*.f64 (/.f64 c (/.f64 d a)) (-.f64 (/.f64 c (/.f64 d a)) b))))
(.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 c d) a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 (.f64 (/.f64 c d) a) (-.f64 (*.f64 (/.f64 c d) a) b)))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 c (/.f64 a d)) #s(literal 3 binary64))) (fma.f64 b b (.f64 (.f64 c (/.f64 a d)) (-.f64 (.f64 c (/.f64 a d)) b))))
(/.f64 (+.f64 (pow.f64 (/.f64 c (/.f64 d a)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 c (/.f64 d a)) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 2 binary64)) (*.f64 b (/.f64 c (/.f64 d a))))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 c d) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 2 binary64)) (.f64 b (.f64 (/.f64 c d) a)))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 c (/.f64 a d)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 c (/.f64 a d)) #s(literal 2 binary64)) (.f64 b (-.f64 b (.f64 c (/.f64 a d))))))
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (/.f64 c (/.f64 d a)) #s(literal 2 binary64))) (-.f64 b (/.f64 c (/.f64 d a))))
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64))) (-.f64 b (.f64 (/.f64 c d) a)))
(/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (.f64 c (/.f64 a d)) #s(literal 2 binary64))) (-.f64 b (.f64 c (/.f64 a d))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 c (/.f64 d a)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (*.f64 (/.f64 c (/.f64 d a)) (-.f64 (/.f64 c (/.f64 d a)) b)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 c d) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (.f64 (.f64 (/.f64 c d) a) (-.f64 (.f64 (/.f64 c d) a) b)))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 c (/.f64 a d)) #s(literal 3 binary64))) (fma.f64 b b (.f64 (.f64 c (/.f64 a d)) (-.f64 (*.f64 c (/.f64 a d)) b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (/.f64 c (/.f64 d a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 b (/.f64 c (/.f64 d a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 b (.f64 (/.f64 c d) a))))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (.f64 c (/.f64 a d)) #s(literal 2 binary64))) (-.f64 b (*.f64 c (/.f64 a d)))))
(/.f64 (-.f64 (pow.f64 (/.f64 c (/.f64 d a)) #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (-.f64 (/.f64 c (/.f64 d a)) b))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 c d) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 c d) a) b))
(/.f64 (-.f64 (pow.f64 (.f64 c (/.f64 a d)) #s(literal 2 binary64)) (pow.f64 b #s(literal 2 binary64))) (-.f64 (.f64 c (/.f64 a d)) b))
(pow.f64 (fma.f64 c (/.f64 a d) b) #s(literal 1 binary64))
(fma.f64 c (/.f64 a d) b)
(pow.f64 (cbrt.f64 (fma.f64 c (/.f64 a d) b)) #s(literal 3 binary64))
(fma.f64 c (/.f64 a d) b)
(pow.f64 (pow.f64 (fma.f64 c (/.f64 a d) b) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 c (/.f64 a d) b)
(pow.f64 (sqrt.f64 (fma.f64 c (/.f64 a d) b)) #s(literal 2 binary64))
(fma.f64 c (/.f64 a d) b)
(sqrt.f64 (pow.f64 (fma.f64 c (/.f64 a d) b) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 c (/.f64 a d) b))
(log.f64 (exp.f64 (fma.f64 c (/.f64 a d) b)))
(fma.f64 c (/.f64 a d) b)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 c (/.f64 a d) b))))
(fma.f64 c (/.f64 a d) b)
(cbrt.f64 (pow.f64 (fma.f64 c (/.f64 a d) b) #s(literal 3 binary64)))
(fma.f64 c (/.f64 a d) b)
(expm1.f64 (log1p.f64 (fma.f64 c (/.f64 a d) b)))
(log1p.f64 (expm1.f64 (fma.f64 c (/.f64 a d) b)))
(fma.f64 c (/.f64 a d) b)
(exp.f64 (log.f64 (fma.f64 c (/.f64 a d) b)))
(fma.f64 c (/.f64 a d) b)
(exp.f64 (*.f64 (log.f64 (fma.f64 c (/.f64 a d) b)) #s(literal 1 binary64)))
(fma.f64 c (/.f64 a d) b)
(fma.f64 c (/.f64 a d) b)
(fma.f64 #s(literal 1 binary64) b (/.f64 c (/.f64 d a)))
(fma.f64 c (/.f64 a d) b)
(fma.f64 #s(literal 1 binary64) (/.f64 c (/.f64 d a)) b)
(fma.f64 c (/.f64 a d) b)
(fma.f64 (/.f64 a d) c b)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 c (/.f64 d a))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 c (/.f64 d a))) b)
(fma.f64 c (/.f64 a d) b)
(fma.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (cbrt.f64 b) (/.f64 c (/.f64 d a)))
(fma.f64 c (/.f64 a d) b)
(fma.f64 (sqrt.f64 (/.f64 c (/.f64 d a))) (sqrt.f64 (/.f64 c (/.f64 d a))) b)
(fma.f64 c (/.f64 a d) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (/.f64 c (/.f64 d a)))
(fma.f64 c (/.f64 a d) b)
(-.f64 #s(literal 0 binary64) (/.f64 b (hypot.f64 d c)))
(/.f64 b (neg.f64 (hypot.f64 d c)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (hypot.f64 d c)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 b (hypot.f64 d c))))
(*.f64 b (/.f64 #s(literal 1 binary64) (hypot.f64 d c)))
(/.f64 b (hypot.f64 d c))
(*.f64 (/.f64 b (hypot.f64 d c)) #s(literal 1 binary64))
(/.f64 b (hypot.f64 d c))
(*.f64 #s(literal 1 binary64) (/.f64 b (hypot.f64 d c)))
(/.f64 b (hypot.f64 d c))
(*.f64 #s(literal -1 binary64) (/.f64 b (hypot.f64 d c)))
(/.f64 b (neg.f64 (hypot.f64 d c)))
(*.f64 (cbrt.f64 (/.f64 b (hypot.f64 d c))) (pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 d c))) #s(literal 2 binary64)))
(/.f64 b (hypot.f64 d c))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 d c))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 b (hypot.f64 d c))))
(/.f64 b (hypot.f64 d c))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 d c))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 b (hypot.f64 d c)))))
(/.f64 b (neg.f64 (hypot.f64 d c)))
(*.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (/.f64 (cbrt.f64 b) (hypot.f64 d c)))
(/.f64 b (hypot.f64 d c))
(.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (.f64 (cbrt.f64 b) (/.f64 #s(literal 1 binary64) (hypot.f64 d c))))
(/.f64 b (hypot.f64 d c))
(*.f64 (sqrt.f64 (/.f64 b (hypot.f64 d c))) (sqrt.f64 (/.f64 b (hypot.f64 d c))))
(/.f64 b (hypot.f64 d c))
(*.f64 (sqrt.f64 (/.f64 b (hypot.f64 d c))) (neg.f64 (sqrt.f64 (/.f64 b (hypot.f64 d c)))))
(/.f64 b (neg.f64 (hypot.f64 d c)))
(*.f64 (sqrt.f64 b) (/.f64 (sqrt.f64 b) (hypot.f64 d c)))
(/.f64 b (hypot.f64 d c))
(.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 #s(literal 1 binary64) (hypot.f64 d c))))
(/.f64 b (hypot.f64 d c))
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (hypot.f64 d c)))
(/.f64 b (neg.f64 (hypot.f64 d c)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 d c)) b)
(/.f64 b (hypot.f64 d c))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 b) (hypot.f64 d c)))
(/.f64 b (hypot.f64 d c))
(*.f64 (/.f64 (sqrt.f64 b) #s(literal 1 binary64)) (/.f64 (sqrt.f64 b) (hypot.f64 d c)))
(/.f64 b (hypot.f64 d c))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 d c)) #s(literal 2 binary64))) (/.f64 b (cbrt.f64 (hypot.f64 d c))))
(/.f64 b (hypot.f64 d c))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 d c))) (/.f64 b (sqrt.f64 (hypot.f64 d c))))
(/.f64 b (hypot.f64 d c))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 d c)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 b (hypot.f64 d c))))
(*.f64 (cbrt.f64 (/.f64 b (hypot.f64 d c))) (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 d c)) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (cbrt.f64 (/.f64 b (hypot.f64 d c)))) (pow.f64 (cbrt.f64 (hypot.f64 d c)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 d c))) (/.f64 (cbrt.f64 b) (sqrt.f64 (hypot.f64 d c))))
(/.f64 b (hypot.f64 d c))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (hypot.f64 d c)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 b) (cbrt.f64 (hypot.f64 d c))))
(/.f64 b (hypot.f64 d c))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (cbrt.f64 b) (hypot.f64 d c)))
(*.f64 (/.f64 (cbrt.f64 b) (hypot.f64 d c)) (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 b (hypot.f64 d c)) #s(literal -1 binary64))
(*.f64 (/.f64 (sqrt.f64 b) #s(literal -1 binary64)) (/.f64 (sqrt.f64 b) (hypot.f64 d c)))
(*.f64 (/.f64 (cbrt.f64 b) (hypot.f64 d c)) (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 b (hypot.f64 d c)) #s(literal -1 binary64))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 d c))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 b (hypot.f64 d c))))
(/.f64 b (neg.f64 (hypot.f64 d c)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 b (hypot.f64 d c)))) (sqrt.f64 (/.f64 b (hypot.f64 d c))))
(/.f64 b (neg.f64 (hypot.f64 d c)))
(pow.f64 (/.f64 b (hypot.f64 d c)) #s(literal 1 binary64))
(/.f64 b (hypot.f64 d c))
(pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 d c))) #s(literal 3 binary64))
(/.f64 b (hypot.f64 d c))
(pow.f64 (pow.f64 (/.f64 b (hypot.f64 d c)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 b (hypot.f64 d c))
(pow.f64 (sqrt.f64 (/.f64 b (hypot.f64 d c))) #s(literal 2 binary64))
(/.f64 b (hypot.f64 d c))
(pow.f64 (/.f64 (hypot.f64 d c) b) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 d c) b))
(neg.f64 (/.f64 b (hypot.f64 d c)))
(/.f64 b (neg.f64 (hypot.f64 d c)))
(sqrt.f64 (pow.f64 (/.f64 b (hypot.f64 d c)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 b (hypot.f64 d c)))
(log.f64 (exp.f64 (/.f64 b (hypot.f64 d c))))
(/.f64 b (hypot.f64 d c))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 b (hypot.f64 d c)))))
(/.f64 b (hypot.f64 d c))
(cbrt.f64 (pow.f64 (/.f64 b (hypot.f64 d c)) #s(literal 3 binary64)))
(/.f64 b (hypot.f64 d c))
(cbrt.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (hypot.f64 d c) #s(literal 3 binary64))))
(/.f64 b (hypot.f64 d c))
(expm1.f64 (log1p.f64 (/.f64 b (hypot.f64 d c))))
(log1p.f64 (expm1.f64 (/.f64 b (hypot.f64 d c))))
(/.f64 b (hypot.f64 d c))
(exp.f64 (log.f64 (/.f64 b (hypot.f64 d c))))
(/.f64 b (hypot.f64 d c))
(exp.f64 (*.f64 (log.f64 (/.f64 b (hypot.f64 d c))) #s(literal 1 binary64)))
(/.f64 b (hypot.f64 d c))
(+.f64 #s(literal 0 binary64) (hypot.f64 d c))
(hypot.f64 d c)
(-.f64 #s(literal 0 binary64) (hypot.f64 d c))
(neg.f64 (hypot.f64 d c))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 d c))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (hypot.f64 d c)))
(*.f64 (hypot.f64 d c) #s(literal 1 binary64))
(hypot.f64 d c)
(*.f64 (hypot.f64 d c) #s(literal -1 binary64))
(neg.f64 (hypot.f64 d c))
(*.f64 #s(literal 1 binary64) (hypot.f64 d c))
(hypot.f64 d c)
(*.f64 #s(literal -1 binary64) (hypot.f64 d c))
(neg.f64 (hypot.f64 d c))
(*.f64 (cbrt.f64 (hypot.f64 d c)) (pow.f64 (cbrt.f64 (hypot.f64 d c)) #s(literal 2 binary64)))
(hypot.f64 d c)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 d c)))
(hypot.f64 d c)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (hypot.f64 d c))))
(neg.f64 (hypot.f64 d c))
(*.f64 (sqrt.f64 (hypot.f64 d c)) (sqrt.f64 (hypot.f64 d c)))
(hypot.f64 d c)
(*.f64 (sqrt.f64 (hypot.f64 d c)) (neg.f64 (sqrt.f64 (hypot.f64 d c))))
(neg.f64 (hypot.f64 d c))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 d c)))
(neg.f64 (hypot.f64 d c))
(*.f64 (neg.f64 (sqrt.f64 (hypot.f64 d c))) (sqrt.f64 (hypot.f64 d c)))
(neg.f64 (hypot.f64 d c))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 d c)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 d c)))
(neg.f64 (hypot.f64 d c))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (hypot.f64 d c))) (sqrt.f64 (hypot.f64 d c)))
(neg.f64 (hypot.f64 d c))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (hypot.f64 d c) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (hypot.f64 d c)))))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 d c) #s(literal 3 binary64))) (+.f64 (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 d c) #s(literal 3 binary64))) (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (hypot.f64 d c) #s(literal 2 binary64))) (hypot.f64 d c))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 d c) #s(literal 2 binary64))) (hypot.f64 d c))
(pow.f64 (hypot.f64 d c) #s(literal 1 binary64))
(hypot.f64 d c)
(pow.f64 (cbrt.f64 (hypot.f64 d c)) #s(literal 3 binary64))
(hypot.f64 d c)
(pow.f64 (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(hypot.f64 d c)
(pow.f64 (pow.f64 (hypot.f64 d c) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 d c)
(pow.f64 (sqrt.f64 (hypot.f64 d c)) #s(literal 2 binary64))
(hypot.f64 d c)
(sqrt.f64 (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))
(hypot.f64 d c)
(log.f64 (exp.f64 (hypot.f64 d c)))
(hypot.f64 d c)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 d c))))
(hypot.f64 d c)
(cbrt.f64 (pow.f64 (hypot.f64 d c) #s(literal 3 binary64)))
(hypot.f64 d c)
(expm1.f64 (log1p.f64 (hypot.f64 d c)))
(hypot.f64 d c)
(log1p.f64 (expm1.f64 (hypot.f64 d c)))
(hypot.f64 d c)
(exp.f64 (log.f64 (hypot.f64 d c)))
(hypot.f64 d c)
(exp.f64 (*.f64 (log.f64 (hypot.f64 d c)) #s(literal 1 binary64)))
(hypot.f64 d c)

eval122.0ms (1.2%)

Compiler: Compiled 19 930 to 3 092 computations (84.5% saved)

prune579.0ms (5.5%)

Pruning

25 alts after pruning (14 fresh and 11 done)

	Pruned	Kept	Total
New	1 023	1	1 024
Fresh	0	13	13
Picked	0	5	5
Done	0	6	6
Total	1 023	25	1 048

Accuracy

99.9%

Counts

1 048 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.7%	(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
	55.7%	(/.f64 (+.f64 b (/.f64 a (*.f64 (/.f64 #s(literal 1 binary64) c) d))) d)
✓	56.1%	(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)
✓	55.8%	(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
	50.7%	(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c)
	52.6%	(/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c)
	50.6%	(/.f64 (+.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 d b)))) c)
✓	52.6%	(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c)
✓	38.4%	(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
	35.7%	(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
	10.3%	(/.f64 (neg.f64 b) d)
	10.2%	(/.f64 (neg.f64 b) c)
✓	28.3%	(/.f64 b (neg.f64 (hypot.f64 d c)))
✓	42.8%	(/.f64 b d)
✓	7.3%	(/.f64 b c)
✓	40.7%	(/.f64 a c)
✓	42.7%	(/.f64 #s(literal 1 binary64) (/.f64 d b))
	52.2%	(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 b (/.f64 d c) a)))
	40.2%	(/.f64 #s(literal 1 binary64) (/.f64 c a))
	45.0%	(/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 d c) (.f64 b d))))
	28.2%	(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 c d) (/.f64 #s(literal -1 binary64) b)))
	42.7%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) d))
✓	57.3%	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
	31.8%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) a)
	10.3%	(*.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 b))

Compiler

Compiled 634 to 306 computations (51.7% saved)

regimes142.0ms (1.4%)

Counts

38 → 3

Calls

Call 1

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

Outputs
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
(/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c)

Calls

5 calls:

94.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
12.0ms	a
11.0ms	c
11.0ms	b
10.0ms	d

Results

Accuracy	Segments	Branch
79.2%	5	`a`
77.7%	3	`b`
86.3%	5	`c`
86.5%	5	`d`
85.1%	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes32.0ms (0.3%)

Counts

35 → 5

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 b))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) d))
(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c)
(/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c)
(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 d b)))) c)
(/.f64 (+.f64 b (/.f64 a (*.f64 (/.f64 #s(literal 1 binary64) c) d))) d)
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 b (neg.f64 (hypot.f64 d c)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) a)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (neg.f64 b))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 c d) (/.f64 #s(literal -1 binary64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 b (/.f64 d c) a)))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (.f64 d b))
(fma.f64 a (/.f64 c (pow.f64 d #s(literal 2 binary64))) (/.f64 b d))
(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
(/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 c d) (/.f64 (hypot.f64 d c) (.f64 b d))))
(.f64 (fma.f64 a c (.f64 b d)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))

Outputs
(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c)
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)

Calls

3 calls:

11.0ms	d
10.0ms	c
9.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
86.2%	6	`c`
85.4%	5	`d`
79.8%	5	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes13.0ms (0.1%)

Counts

32 → 4

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 b))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) d))
(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c)
(/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c)
(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 d b)))) c)
(/.f64 (+.f64 b (/.f64 a (*.f64 (/.f64 #s(literal 1 binary64) c) d))) d)
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 b (neg.f64 (hypot.f64 d c)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) a)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (neg.f64 b))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 c d) (/.f64 #s(literal -1 binary64) b)))
(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 b (/.f64 d c) a)))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)) (.f64 d b))
(fma.f64 a (/.f64 c (pow.f64 d #s(literal 2 binary64))) (/.f64 b d))

Outputs
(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)
(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c)
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
83.4%	4	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes16.0ms (0.2%)

Counts

21 → 3

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 b))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) d))
(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c)
(/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c)
(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/.f64 (.f64 c a) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (.f64 d b) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 d b)))) c)
(/.f64 (+.f64 b (/.f64 a (*.f64 (/.f64 #s(literal 1 binary64) c) d))) d)

Outputs
(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)
(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c)
(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)

Calls

2 calls:

6.0ms	d
6.0ms	c

Results

Accuracy	Segments	Branch
79.9%	3	`c`
81.2%	3	`d`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Counts

14 → 3

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 b))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) d))
(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c)
(/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c)
(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)

Outputs
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
80.4%	3	`d`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes24.0ms (0.2%)

Counts

13 → 3

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 b))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) d))
(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c)
(/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c)
(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c)

Outputs
(/.f64 b d)
(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c)
(/.f64 b d)

Calls

4 calls:

10.0ms	a
4.0ms	d
4.0ms	b
4.0ms	c

Results

Accuracy	Segments	Branch
55.9%	3	`a`
54.7%	2	`b`
69.7%	3	`c`
74.9%	3	`d`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes8.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b c)
(/.f64 b d)
(/.f64 (neg.f64 b) c)
(/.f64 (neg.f64 b) d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 b))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) d))

Outputs
(/.f64 a c)
(/.f64 b d)
(/.f64 a c)

Calls

2 calls:

4.0ms	d
3.0ms	c

Results

Accuracy	Segments	Branch
66.0%	3	`c`
64.3%	3	`d`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Accuracy

Total -23.0b remaining (-60.5%)

Threshold costs -23b (-60.5%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 b c)

Outputs
(/.f64 a c)

Calls

4 calls:

3.0ms	b
2.0ms	d
1.0ms	a
1.0ms	c

Results

Accuracy	Segments	Branch
40.7%	1	`a`
40.7%	1	`b`
40.7%	1	`d`
40.7%	1	`c`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.4731007502479349e+238	1.3834242875027726e+252
0.0ms	-inf	-3.294262286145272e+303

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch56.0ms (0.5%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.956137840230779e+75	1.8397532109108437e+78
14.0ms	1.969933894869946e-145	1.7162407895076232e-136
9.0ms	-1.434004228202694e-43	-7.218169885323804e-44
13.0ms	-1.626141601862926e+25	-2.3656242081648997e+22

Samples

38.0ms

464×

valid

Compiler

Compiled 1 024 to 627 computations (38.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 12.0ms (64.7% of total)

ival-add: 4.0ms (21.6% of total)

ival-div: 3.0ms (16.2% of total)

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

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

bsearch47.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.956137840230779e+75	1.8397532109108437e+78
14.0ms	1.969933894869946e-145	1.7162407895076232e-136
14.0ms	-1.434004228202694e-43	-7.218169885323804e-44

Samples

26.0ms

336×

valid

Compiler

Compiled 712 to 447 computations (37.2% saved)

Precisions

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

ival-mult: 10.0ms (64.2% of total)

ival-add: 3.0ms (19.3% of total)

ival-div: 2.0ms (12.8% of total)

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

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

bsearch24.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.241880445095143e+56	7.521494152099968e+59
6.0ms	-1.434004228202694e-43	-7.218169885323804e-44

Samples

14.0ms

192×

valid

Compiler

Compiled 358 to 234 computations (34.6% saved)

Precisions

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

ival-mult: 5.0ms (64.4% of total)

ival-div: 1.0ms (12.9% of total)

ival-add: 1.0ms (12.9% of total)

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

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

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	6.58361726703186e-16	0.035729180848641726
10.0ms	-1.434004228202694e-43	-7.218169885323804e-44

Samples

30.0ms

224×

valid

Compiler

Compiled 414 to 270 computations (34.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-add: 13.0ms (55.5% of total)

ival-mult: 9.0ms (38.4% of total)

ival-div: 1.0ms (4.3% of total)

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

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

bsearch30.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.241880445095143e+56	7.521494152099968e+59
15.0ms	-8.611075453059601e+51	-1.1070681367897798e+49

Samples

20.0ms

256×

valid

Compiler

Compiled 374 to 258 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 8.0ms (68.1% of total)

ival-div: 2.0ms (17% of total)

ival-add: 2.0ms (17% of total)

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

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

bsearch25.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.114107951420063e+42	1.247655638839686e+44
11.0ms	-1.7223759319143404e+103	-3.8164272497568735e+102

Samples

16.0ms

208×

valid

Compiler

Compiled 230 to 174 computations (24.3% saved)

Precisions

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

ival-mult: 5.0ms (54.4% of total)

ival-div: 2.0ms (21.8% of total)

ival-add: 2.0ms (21.8% of total)

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

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
8×	`if-if-or-not`
7×	`*-commutative`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	1209
1	142	1209

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #s(literal -inf.0 binary64)) (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d) (if (<=.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #s(literal 40000000000000001945903893149060041619392612399884220638941241589674604509430938803167612022280515642126955783555328569714338388662038834492785865819864594858697283926172343242228052880157501208293402494583566494524476715636026609219141632 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c)))
(if (<=.f64 d #s(literal -120000000000000000000000 binary64)) (.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c))) (if (<=.f64 d #s(literal -8034690221294951/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d #s(literal 4558654696180483/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 binary64)) (/.f64 (+.f64 a (/.f64 (.f64 d b) c)) c) (if (<=.f64 d #s(literal 206000000000000001338309876009777302547924908828007060628685848748381196779520 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)))))
(if (<=.f64 d #s(literal -1632046451200537/12554203470773361527671578846415332832204710888928069025792 binary64)) (/.f64 (+.f64 b (.f64 (/.f64 a d) c)) d) (if (<=.f64 d #s(literal 1099440250255293/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) (/.f64 (+.f64 a (/.f64 (.f64 d b) c)) c) (if (<=.f64 d #s(literal 184999999999999997457558571929579945200117979657394451483735169916067769221120 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d))))
(if (<=.f64 d #s(literal -2887466798277873/25108406941546723055343157692830665664409421777856138051584 binary64)) (/.f64 (+.f64 b (.f64 (/.f64 a d) c)) d) (if (<=.f64 d #s(literal 550000000000000017879452070378487816978227214986516627456 binary64)) (/.f64 (+.f64 a (/.f64 (.f64 d b) c)) c) (/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)))
(if (<=.f64 d #s(literal -8235557476827325/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 (+.f64 b (.f64 a (/.f64 c d))) d) (if (<=.f64 d #s(literal 1624177331542419/79228162514264337593543950336 binary64)) (/.f64 (+.f64 a (/.f64 (.f64 d b) c)) c) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)))
(if (<=.f64 d #s(literal -719999999999999971857593119304344367235806523293696 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 5399999999999999668708593088020081713610815550586674479104 binary64)) (/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c) (/.f64 b d)))
(if (<=.f64 c #s(literal -3850000000000000067054137449252871693077297017589490054993031626889336491041033937629898800170499309568 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal 24000000000000002315197143559202277752307712 binary64)) (/.f64 b d) (/.f64 a c)))
(/.f64 a c)

Outputs
(if (<=.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #s(literal -inf.0 binary64)) (/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d) (if (<=.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #s(literal 40000000000000001945903893149060041619392612399884220638941241589674604509430938803167612022280515642126955783555328569714338388662038834492785865819864594858697283926172343242228052880157501208293402494583566494524476715636026609219141632 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d))) (/.f64 (+.f64 a (/.f64 b (/.f64 c d))) c)))
(if (<=.f64 d #s(literal -120000000000000000000000 binary64)) (.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c))) (if (<=.f64 d #s(literal -8034690221294951/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d #s(literal 4558654696180483/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 binary64)) (/.f64 (+.f64 a (/.f64 (.f64 d b) c)) c) (if (<=.f64 d #s(literal 206000000000000001338309876009777302547924908828007060628685848748381196779520 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)))))
(if (<=.f64 d #s(literal -120000000000000000000000 binary64)) (.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c))) (if (<=.f64 d #s(literal -8034690221294951/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d #s(literal 4558654696180483/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 binary64)) (/.f64 (+.f64 a (/.f64 (.f64 b d) c)) c) (if (<=.f64 d #s(literal 206000000000000001338309876009777302547924908828007060628685848748381196779520 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (+.f64 b (*.f64 c (/.f64 a d))) d)))))
(if (<=.f64 d #s(literal -1632046451200537/12554203470773361527671578846415332832204710888928069025792 binary64)) (/.f64 (+.f64 b (.f64 (/.f64 a d) c)) d) (if (<=.f64 d #s(literal 1099440250255293/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) (/.f64 (+.f64 a (/.f64 (.f64 d b) c)) c) (if (<=.f64 d #s(literal 184999999999999997457558571929579945200117979657394451483735169916067769221120 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d))))
(if (<=.f64 d #s(literal -1632046451200537/12554203470773361527671578846415332832204710888928069025792 binary64)) (/.f64 (+.f64 b (.f64 c (/.f64 a d))) d) (if (<=.f64 d #s(literal 1099440250255293/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) (/.f64 (+.f64 a (/.f64 (.f64 b d) c)) c) (if (<=.f64 d #s(literal 184999999999999997457558571929579945200117979657394451483735169916067769221120 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (+.f64 b (*.f64 c (/.f64 a d))) d))))
(if (<=.f64 d #s(literal -2887466798277873/25108406941546723055343157692830665664409421777856138051584 binary64)) (/.f64 (+.f64 b (.f64 (/.f64 a d) c)) d) (if (<=.f64 d #s(literal 550000000000000017879452070378487816978227214986516627456 binary64)) (/.f64 (+.f64 a (/.f64 (.f64 d b) c)) c) (/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)))
(if (or (<=.f64 d #s(literal -2887466798277873/25108406941546723055343157692830665664409421777856138051584 binary64)) (not (<=.f64 d #s(literal 550000000000000017879452070378487816978227214986516627456 binary64)))) (/.f64 (+.f64 b (.f64 c (/.f64 a d))) d) (/.f64 (+.f64 a (/.f64 (.f64 b d) c)) c))
(if (<=.f64 d #s(literal -8235557476827325/100433627766186892221372630771322662657637687111424552206336 binary64)) (/.f64 (+.f64 b (.f64 a (/.f64 c d))) d) (if (<=.f64 d #s(literal 1624177331542419/79228162514264337593543950336 binary64)) (/.f64 (+.f64 a (/.f64 (.f64 d b) c)) c) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)))
(if (or (<=.f64 d #s(literal -8235557476827325/100433627766186892221372630771322662657637687111424552206336 binary64)) (not (<=.f64 d #s(literal 1624177331542419/79228162514264337593543950336 binary64)))) (/.f64 (+.f64 b (.f64 a (/.f64 c d))) d) (/.f64 (+.f64 a (/.f64 (.f64 b d) c)) c))
(if (<=.f64 d #s(literal -719999999999999971857593119304344367235806523293696 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 5399999999999999668708593088020081713610815550586674479104 binary64)) (/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c) (/.f64 b d)))
(if (or (<=.f64 d #s(literal -719999999999999971857593119304344367235806523293696 binary64)) (not (<=.f64 d #s(literal 5399999999999999668708593088020081713610815550586674479104 binary64)))) (/.f64 b d) (/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c))
(if (<=.f64 c #s(literal -3850000000000000067054137449252871693077297017589490054993031626889336491041033937629898800170499309568 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal 24000000000000002315197143559202277752307712 binary64)) (/.f64 b d) (/.f64 a c)))
(if (or (<=.f64 c #s(literal -3850000000000000067054137449252871693077297017589490054993031626889336491041033937629898800170499309568 binary64)) (not (<=.f64 c #s(literal 24000000000000002315197143559202277752307712 binary64)))) (/.f64 a c) (/.f64 b d))
(/.f64 a c)

soundness1.0s (9.7%)

Rules

819×	`log1p-expm1-u`
819×	`expm1-log1p-u`
793×	`fma-define`
693×	`log1p-expm1-u`
558×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	437
1	480	383
2	7403	383
0	1576	39685
1	4102	37966
0	18	129
1	254	124
2	3547	124
0	34	418
1	555	400
2	7733	400
0	509	10401
1	1283	9871
2	4185	9811

Stop Event

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

Compiler

Compiled 997 to 307 computations (69.2% saved)

preprocess61.0ms (0.6%)

Compiler: Compiled 710 to 260 computations (63.4% saved)

Iter	Nodes	Cost
0	34	559
1	59	541
2	87	541
3	181	534
4	351	534
5	497	534
6	619	534
7	748	534
8	782	534
9	829	534
10	870	534

Iter	Nodes	Cost
0	34	559
1	59	541
2	87	541
3	181	534
4	351	534
5	497	534
6	619	534
7	748	534
8	782	534
9	829	534
10	870	534

analyze144.0ms (1.4%)

sample1.2s (11.6%)

preprocess627.0ms (6%)

explain139.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify206.0ms (2%)

localize57.0ms (0.5%)

series22.0ms (0.2%)

rewrite406.0ms (3.9%)

simplify263.0ms (2.5%)

eval34.0ms (0.3%)

prune287.0ms (2.7%)

simplify44.0ms (0.4%)

localize200.0ms (1.9%)

series62.0ms (0.6%)

rewrite264.0ms (2.5%)

simplify515.0ms (4.9%)

eval193.0ms (1.8%)

prune296.0ms (2.8%)

simplify118.0ms (1.1%)

localize247.0ms (2.4%)

series76.0ms (0.7%)

rewrite298.0ms (2.8%)

simplify521.0ms (5%)

eval352.0ms (3.4%)

prune398.0ms (3.8%)

simplify437.0ms (4.2%)

localize134.0ms (1.3%)

series32.0ms (0.3%)

rewrite272.0ms (2.6%)

simplify371.0ms (3.5%)

eval122.0ms (1.2%)

prune579.0ms (5.5%)

regimes142.0ms (1.4%)

regimes32.0ms (0.3%)

regimes13.0ms (0.1%)

regimes16.0ms (0.2%)

regimes6.0ms (0.1%)

regimes24.0ms (0.2%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch56.0ms (0.5%)

bsearch47.0ms (0.4%)

bsearch24.0ms (0.2%)

bsearch39.0ms (0.4%)

bsearch30.0ms (0.3%)

bsearch25.0ms (0.2%)

simplify9.0ms (0.1%)

soundness1.0s (9.7%)

preprocess61.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	34	559
1	59	541
2	87	541
3	181	534
4	351	534
5	497	534
6	619	534
7	748	534
8	782	534
9	829	534
10	870	534