Metrics for Complex division, real part

analyze34.0ms (0.3%)

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 20 to 12 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 12.0ms (70.4% of total)

ival-add: 3.0ms (17.6% of total)

ival-div: 1.0ms (5.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.8s (18.5%)

Results

1.5s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-mult: 831.0ms (79.4% of total)

ival-add: 140.0ms (13.4% of total)

ival-div: 64.0ms (6.1% of total)

const: 8.0ms (0.8% of total)

backward-pass: 3.0ms (0.3% of total)

Bogosity

preprocess401.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1573×	`fma-neg`
912×	`fma-define`
864×	`times-frac`
552×	`div-sub`
333×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	976
1	162	976
2	263	976
3	486	976
4	1176	976
5	3121	976
6	4441	976
7	5612	976
8	6468	976
9	6875	976
10	7003	976
11	7173	976
12	7627	976
13	7627	976
14	7627	976
15	7627	976
16	7987	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)))

explain98.0ms (1%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
109	-	2	(1.2748909937109898e-224 7.844717158725951e-87 -6.337789957192821e-276 1.6328418587858537e-158)	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
1	-	0	-	`(+.f64 (.f64 a c) (.f64 b d))`
0	-	0	-	`b`
0	-	0	-	`(*.f64 b d)`
0	-	0	-	`c`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`d`
0	-	0	-	`(*.f64 c c)`
0	-	0	-	`(*.f64 d d)`
0	-	0	-	`(+.f64 (.f64 c c) (.f64 d d))`
0	-	0	-	`a`

Results

59.0ms

512×

valid

Compiler

Compiled 119 to 35 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 17.0ms (65.6% of total)

ival-add: 5.0ms (19.3% of total)

ival-div: 3.0ms (11.6% of total)

const: 1.0ms (3.9% of total)

backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.3%	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
▶	59.3%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 36 to 20 computations (44.4% saved)

localize244.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 c c (*.f64 d d))
✓	cost-diff	0	(*.f64 b d)
✓	cost-diff	0	(fma.f64 a c (*.f64 b d))
✓	cost-diff	0	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
✓	cost-diff	0	(*.f64 d d)
✓	cost-diff	0	(*.f64 c c)
✓	cost-diff	0	(*.f64 b d)
✓	cost-diff	0	(*.f64 a c)
✓	accuracy	100.0%	(*.f64 b d)
✓	accuracy	100.0%	(fma.f64 c c (*.f64 d d))
✓	accuracy	99.6%	(fma.f64 a c (*.f64 b d))
✓	accuracy	59.7%	(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	100.0%	(+.f64 (.f64 c c) (.f64 d d))
✓	accuracy	99.7%	(+.f64 (.f64 a c) (.f64 b d))
✓	accuracy	59.7%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	336
1	26	336
2	30	336

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

Results

219.0ms

256×

valid

Compiler

Compiled 85 to 15 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-div: 179.0ms (91.5% of total)

ival-mult: 8.0ms (4.1% of total)

ival-fma: 6.0ms (3.1% of total)

ival-add: 3.0ms (1.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series35.0ms (0.4%)

Counts

10 → 252

Calls

Call 1

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

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

Calls

78 calls:

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

rewrite289.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`log1p-expm1-u`
822×	`expm1-log1p-u`
503×	`fma-define`
241×	`fma-neg`
218×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	260
1	267	240
2	3557	240

Stop Event

1×	node limit

Counts

10 → 322

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

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

simplify443.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

592×	`cancel-sign-sub-inv`
532×	`distribute-lft-neg-in`
475×	`distribute-rgt-neg-in`
338×	`fma-neg`
254×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	608	23826
1	1506	22454
2	4828	22334

Stop Event

1×	node limit

Counts

574 → 334

Calls

Call 1

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

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

eval40.0ms (0.4%)

Compiler: Compiled 7005 to 1201 computations (82.9% saved)

prune76.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	348	12	360
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	350	12	362

Accuracy

99.7%

Counts

362 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.8%	(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) #s(literal 2 binary64))
	50.5%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (cbrt.f64 (pow.f64 c #s(literal 6 binary64))) (*.f64 d d)))
▶	49.4%	(/.f64 (+.f64 b (/.f64 (-.f64 (.f64 c a) (.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) d))) d)) d)
▶	52.4%	(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
	54.8%	(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
▶	55.5%	(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c)
	36.8%	(/.f64 (.f64 b d) (+.f64 (.f64 c c) (*.f64 d d)))
	39.9%	(/.f64 b d)
▶	46.0%	(/.f64 a c)
	72.8%	(.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)))
▶	73.5%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
	38.9%	(*.f64 c (/.f64 a (pow.f64 (hypot.f64 d c) #s(literal 2 binary64))))

Compiler

Compiled 376 to 226 computations (39.9% saved)

localize223.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 34 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(+.f64 b (/.f64 (-.f64 (.f64 c a) (.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) d))) d))
✓	cost-diff	192	(/.f64 (+.f64 b (/.f64 (-.f64 (.f64 c a) (.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) d))) d)) d)
✓	cost-diff	6464	(-.f64 (.f64 c a) (.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) d)))
✓	cost-diff	6464	(/.f64 (-.f64 (.f64 c a) (.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) d))) d)
✓	cost-diff	-6272	(+.f64 b (/.f64 (*.f64 a c) d))
✓	cost-diff	-6272	(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
	cost-diff	0	(*.f64 a c)
✓	cost-diff	0	(/.f64 (*.f64 a c) d)
✓	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 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)))
✓	accuracy	96.7%	(/.f64 (+.f64 b (/.f64 (-.f64 (.f64 c a) (.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) d))) d)) d)
✓	accuracy	91.1%	(/.f64 (-.f64 (.f64 c a) (.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) d))) d)
✓	accuracy	88.6%	(*.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) d))
✓	accuracy	87.8%	(/.f64 (pow.f64 c #s(literal 2 binary64)) d)
	accuracy	100.0%	(*.f64 a c)
✓	accuracy	100.0%	(+.f64 b (/.f64 (*.f64 a c) d))
✓	accuracy	98.8%	(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
✓	accuracy	89.3%	(/.f64 (*.f64 a c) d)
✓	accuracy	100.0%	(/.f64 d c)
✓	accuracy	100.0%	(+.f64 a (*.f64 b (/.f64 d c)))
✓	accuracy	99.9%	(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c)
✓	accuracy	94.7%	(*.f64 b (/.f64 d c))
✓	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	74.4%	(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))

Rules

926×	`fma-neg`
848×	`fma-define`
580×	`times-frac`
439×	`div-sub`
417×	`unsub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	793
1	76	771
2	138	771
3	330	740
4	872	732
5	1917	732
6	4289	732
7	6835	732

Stop Event

1×	node limit

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

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

Results

92.0ms

256×

valid

Compiler

Compiled 193 to 30 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 22.0ms (45.3% of total)

ival-mult: 11.0ms (22.6% of total)

ival-hypot: 5.0ms (10.3% of total)

ival-add: 4.0ms (8.2% of total)

ival-fma: 3.0ms (6.2% of total)

ival-pow: 3.0ms (6.2% of total)

ival-sub: 1.0ms (2.1% of total)

const: 1.0ms (2.1% of total)

backward-pass: 0.0ms (0% of total)

series349.0ms (3.5%)

Counts

18 → 582

Calls

Call 1

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

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

Calls

177 calls:

Time	Variable		Point	Expression
116.0ms	a	@	inf	(/ (+ b (/ (- (* c a) (* b (/ (pow c 2) d))) d)) d)
10.0ms	a	@	-inf	(/ (+ b (/ (* a c) d)) d)
6.0ms	c	@	0	(/ (- (* c a) (* b (/ (pow c 2) d))) d)
3.0ms	b	@	-inf	(* b (/ d c))
1.0ms	a	@	0	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))

rewrite193.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

298×	`log1p-expm1-u`
298×	`expm1-log1p-u`
294×	`add-cube-cbrt`
292×	`add-exp-log`
292×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	637
1	670	609

Stop Event

1×	node limit

Counts

18 → 493

Calls

Call 1

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

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

simplify703.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

780×	`fma-define`
504×	`times-frac`
415×	`*-commutative`
222×	`distribute-rgt-neg-in`
211×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1666	53558
1	4462	52019

Stop Event

1×	node limit

Counts

1075 → 1079

Calls

Call 1

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

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

eval355.0ms (3.6%)

Compiler: Compiled 25762 to 4201 computations (83.7% saved)

prune274.0ms (2.8%)

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	1153	19	1172
Fresh	5	2	7
Picked	2	3	5
Done	0	0	0
Total	1160	24	1184

Accuracy

99.8%

Counts

1184 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.2%	(/.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (sqrt.f64 d)) (sqrt.f64 d))
	41.2%	(/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) d) d)
	22.3%	(/.f64 (/.f64 (*.f64 a c) d) d)
	50.7%	(/.f64 (+.f64 b (/.f64 (.f64 c (-.f64 a (.f64 b (/.f64 c d)))) d)) d)
✓	52.4%	(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
	54.4%	(/.f64 (+.f64 b (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d))) d)
	52.9%	(/.f64 (+.f64 a (-.f64 (.f64 b (/.f64 d c)) (.f64 a (pow.f64 (/.f64 d c) #s(literal 2 binary64))))) c)
✓	55.5%	(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c)
	45.8%	(/.f64 (*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) c)
	49.6%	(/.f64 (.f64 b (neg.f64 (fma.f64 #s(literal -1 binary64) (.f64 (/.f64 a d) (/.f64 c b)) #s(literal -1 binary64)))) d)
▶	36.8%	(/.f64 (.f64 b d) (+.f64 (.f64 c c) (*.f64 d d)))
	24.7%	(/.f64 (*.f64 a (/.f64 c d)) d)
▶	39.9%	(/.f64 b d)
✓	46.0%	(/.f64 a c)
	54.3%	(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b)))
	55.2%	(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 b (/.f64 d c) a)))
	45.8%	(/.f64 #s(literal 1 binary64) (/.f64 c a))
▶	55.3%	(*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))
	54.8%	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (/.f64 (fma.f64 b (/.f64 d c) a) (cbrt.f64 c)))
	30.2%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (neg.f64 b))
	28.7%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (neg.f64 a))
▶	32.0%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) a)
▶	40.0%	(.f64 c (+.f64 (/.f64 a (pow.f64 d #s(literal 2 binary64))) (/.f64 b (.f64 d c))))
	45.9%	(*.f64 a (/.f64 #s(literal 1 binary64) c))

Compiler

Compiled 625 to 403 computations (35.5% saved)

localize431.0ms (4.4%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 d #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 a (pow.f64 d #s(literal 2 binary64)))
✓	cost-diff	320	(.f64 c (+.f64 (/.f64 a (pow.f64 d #s(literal 2 binary64))) (/.f64 b (.f64 d c))))
✓	cost-diff	6464	(+.f64 (/.f64 a (pow.f64 d #s(literal 2 binary64))) (/.f64 b (*.f64 d c)))
	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)) a)
✓	cost-diff	-12608	(/.f64 (.f64 b d) (+.f64 (.f64 c c) (*.f64 d d)))
	cost-diff	-6336	(*.f64 d d)
	cost-diff	0	(*.f64 c c)
	cost-diff	0	(*.f64 b d)
✓	cost-diff	0	(/.f64 b d)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) c)
	cost-diff	0	(/.f64 d c)
✓	cost-diff	0	(fma.f64 b (/.f64 d c) a)
✓	cost-diff	128	(*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))
✓	accuracy	96.7%	(+.f64 (/.f64 a (pow.f64 d #s(literal 2 binary64))) (/.f64 b (*.f64 d c)))
✓	accuracy	90.4%	(/.f64 b (*.f64 d c))
✓	accuracy	88.6%	(/.f64 a (pow.f64 d #s(literal 2 binary64)))
✓	accuracy	87.0%	(.f64 c (+.f64 (/.f64 a (pow.f64 d #s(literal 2 binary64))) (/.f64 b (.f64 d c))))
	accuracy	100.0%	(hypot.f64 c d)
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) a)
	accuracy	100.0%	(*.f64 c c)
	accuracy	100.0%	(*.f64 b d)
	accuracy	100.0%	(+.f64 (.f64 c c) (.f64 d d))
✓	accuracy	71.0%	(/.f64 (.f64 b d) (+.f64 (.f64 c c) (*.f64 d d)))
✓	accuracy	100.0%	(/.f64 b d)
	accuracy	100.0%	(/.f64 d c)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) c)
✓	accuracy	99.7%	(*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))
✓	accuracy	96.9%	(fma.f64 b (/.f64 d c) a)

Rules

1210×	`associate-/r/`
859×	`fma-define`
773×	`cube-prod`
657×	`*-commutative`
617×	`associate-/l/`

Iterations

Useful iterations: 19 (0.0ms)

Iter	Nodes	Cost
0	33	499
1	64	487
2	106	487
3	204	480
4	351	474
5	719	468
6	1469	468
7	2264	468
8	2500	468
9	2646	468
10	2805	468
11	2833	468
12	2833	468
13	3686	468
14	3970	468
15	4277	468
16	4532	468
17	4756	468
18	5035	468
19	5417	462
20	6441	462

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

80.0ms

256×

valid

Compiler

Compiled 131 to 26 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-div: 13.0ms (33.7% of total)

ival-mult: 12.0ms (31.1% of total)

ival-hypot: 5.0ms (13% of total)

ival-fma: 3.0ms (7.8% of total)

ival-pow: 3.0ms (7.8% of total)

ival-add: 2.0ms (5.2% of total)

const: 1.0ms (2.6% of total)

backward-pass: 0.0ms (0% of total)

series41.0ms (0.4%)

Counts

11 → 300

Calls

Call 1

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

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

Calls

93 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	(* c (+ (/ a (pow d 2)) (/ b (* d c))))
1.0ms	a	@	0	(* (/ 1 (sqrt (+ (* c c) (* d d)))) a)
1.0ms	b	@	inf	(/ (* b d) (+ (* c c) (* d d)))
1.0ms	d	@	inf	(* (/ 1 (sqrt (+ (* c c) (* d d)))) a)
1.0ms	c	@	0	(* c (+ (/ a (pow d 2)) (/ b (* d c))))

rewrite124.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

243×	`log1p-expm1-u`
243×	`expm1-log1p-u`
236×	`add-cube-cbrt`
235×	`add-exp-log`
235×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	302
1	544	289

Stop Event

1×	node limit

Counts

11 → 383

Calls

Call 1

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

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

simplify285.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

608×	`associate-l`
495×	`associate-*r/`
426×	`fma-define`
413×	`associate-*l/`
308×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1202	29488
1	3104	28446

Stop Event

1×	node limit

Counts

683 → 683

Calls

Call 1

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

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

eval119.0ms (1.2%)

Compiler: Compiled 17682 to 3216 computations (81.8% saved)

prune533.0ms (5.4%)

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	964	11	975
Fresh	4	12	16
Picked	3	2	5
Done	0	3	3
Total	971	28	999

Accuracy

100.0%

Counts

999 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.2%	(/.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (sqrt.f64 d)) (sqrt.f64 d))
	41.2%	(/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) d) d)
	22.3%	(/.f64 (/.f64 (*.f64 a c) d) d)
	50.7%	(/.f64 (+.f64 b (/.f64 (.f64 c (-.f64 a (.f64 b (/.f64 c d)))) d)) d)
✓	52.4%	(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
	52.9%	(/.f64 (+.f64 a (-.f64 (.f64 b (/.f64 d c)) (.f64 a (pow.f64 (/.f64 d c) #s(literal 2 binary64))))) c)
✓	55.5%	(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c)
	45.8%	(/.f64 (*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) c)
	49.6%	(/.f64 (.f64 b (neg.f64 (fma.f64 #s(literal -1 binary64) (.f64 (/.f64 a d) (/.f64 c b)) #s(literal -1 binary64)))) d)
✓	36.8%	(/.f64 (.f64 b d) (+.f64 (.f64 c c) (*.f64 d d)))
	24.7%	(/.f64 (*.f64 a (/.f64 c d)) d)
	10.9%	(/.f64 (neg.f64 a) d)
	11.7%	(/.f64 (neg.f64 a) c)
✓	39.9%	(/.f64 b d)
▶	32.1%	(/.f64 a (hypot.f64 d c))
▶	8.1%	(/.f64 a d)
✓	46.0%	(/.f64 a c)
	39.6%	(/.f64 #s(literal 1 binary64) (/.f64 d b))
▶	55.2%	(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 b (/.f64 d c) a)))
▶	45.8%	(/.f64 #s(literal 1 binary64) (/.f64 c a))
	55.2%	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
	30.2%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (neg.f64 b))
	28.7%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (neg.f64 a))
	39.8%	(*.f64 (/.f64 #s(literal 1 binary64) d) b)
	8.1%	(*.f64 (/.f64 #s(literal 1 binary64) d) a)
	23.4%	(.f64 (.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c))
▶	41.6%	(*.f64 c (/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d))
	42.8%	(.f64 c (+.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d)) (/.f64 b (*.f64 d c))))

Compiler

Compiled 645 to 419 computations (35% saved)

localize254.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 26 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(hypot.f64 d c)
✓	cost-diff	0	(/.f64 a (hypot.f64 d c))
✓	cost-diff	0	(/.f64 b c)
✓	cost-diff	0	(/.f64 a d)
✓	cost-diff	0	(+.f64 (/.f64 a d) (/.f64 b c))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
✓	cost-diff	0	(/.f64 c a)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 c a))
✓	cost-diff	0	(/.f64 a d)
	cost-diff	0	(/.f64 d c)
	cost-diff	0	(fma.f64 b (/.f64 d c) a)
✓	cost-diff	0	(/.f64 c (fma.f64 b (/.f64 d c) a))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 b (/.f64 d c) a)))
✓	accuracy	100.0%	(hypot.f64 d c)
✓	accuracy	100.0%	(/.f64 a (hypot.f64 d c))
✓	accuracy	100.0%	(/.f64 a d)
✓	accuracy	99.3%	(+.f64 (/.f64 a d) (/.f64 b c))
✓	accuracy	95.4%	(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
✓	accuracy	87.0%	(*.f64 c (/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d))
✓	accuracy	100.0%	(/.f64 c a)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 c a))
✓	accuracy	100.0%	(/.f64 a d)
	accuracy	100.0%	(/.f64 d c)
✓	accuracy	99.9%	(/.f64 c (fma.f64 b (/.f64 d c) a))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 b (/.f64 d c) a)))
	accuracy	96.9%	(fma.f64 b (/.f64 d c) a)

Rules

1783×	`fma-define`
1020×	`associate-/r/`
709×	`cube-prod`
428×	`swap-sqr`
378×	`*-commutative`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	406
1	45	406
2	72	394
3	129	394
4	218	381
5	342	381
6	604	381
7	1119	381
8	2280	381
9	3046	381
10	4010	381
11	4224	381
12	4467	381
13	4786	381
14	5193	381
15	6740	381

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

64.0ms

256×

valid

Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 18.0ms (61% of total)

ival-hypot: 5.0ms (17% of total)

ival-fma: 3.0ms (10.2% of total)

ival-mult: 2.0ms (6.8% of total)

ival-add: 1.0ms (3.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series45.0ms (0.5%)

Counts

11 → 303

Calls

Call 1

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

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

Calls

99 calls:

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

rewrite225.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1116×	`log1p-expm1-u`
191×	`expm1-log1p-u`
189×	`add-exp-log`
189×	`add-log-exp`
189×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	291
1	416	279
2	6387	279

Stop Event

1×	node limit

Counts

11 → 407

Calls

Call 1

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

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

simplify282.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

603×	`times-frac`
588×	`fma-define`
378×	`*-commutative`
303×	`distribute-rgt-in`
301×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1418	30117
1	3769	29147

Stop Event

1×	node limit

Counts

710 → 789

Calls

Call 1

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

eval147.0ms (1.5%)

Compiler: Compiled 16071 to 3275 computations (79.6% saved)

prune172.0ms (1.7%)

Pruning

29 alts after pruning (21 fresh and 8 done)

	Pruned	Kept	Total
New	906	6	912
Fresh	3	15	18
Picked	2	3	5
Done	0	5	5
Total	911	29	940

Accuracy

100.0%

Counts

940 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.4%	(/.f64 (/.f64 (*.f64 c (+.f64 (/.f64 a d) (/.f64 b c))) (sqrt.f64 d)) (sqrt.f64 d))
	22.3%	(/.f64 (/.f64 (*.f64 a c) d) d)
	50.7%	(/.f64 (+.f64 b (/.f64 (.f64 c (-.f64 a (.f64 b (/.f64 c d)))) d)) d)
✓	52.4%	(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
	52.9%	(/.f64 (+.f64 a (-.f64 (.f64 b (/.f64 d c)) (.f64 a (pow.f64 (/.f64 d c) #s(literal 2 binary64))))) c)
✓	55.5%	(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c)
	45.8%	(/.f64 (*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) c)
	49.6%	(/.f64 (.f64 b (neg.f64 (fma.f64 #s(literal -1 binary64) (.f64 (/.f64 a d) (/.f64 c b)) #s(literal -1 binary64)))) d)
✓	36.8%	(/.f64 (.f64 b d) (+.f64 (.f64 c c) (*.f64 d d)))
	24.7%	(/.f64 (*.f64 a (/.f64 c d)) d)
	10.9%	(/.f64 (neg.f64 a) d)
	11.7%	(/.f64 (neg.f64 a) c)
✓	39.9%	(/.f64 b d)
✓	32.1%	(/.f64 a (hypot.f64 d c))
✓	8.1%	(/.f64 a d)
✓	46.0%	(/.f64 a c)
	46.9%	(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 c (+.f64 (/.f64 a d) (/.f64 b c)))))
	39.6%	(/.f64 #s(literal 1 binary64) (/.f64 d b))
	23.4%	(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b (/.f64 d c))))
✓	45.8%	(/.f64 #s(literal 1 binary64) (/.f64 c a))
	45.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) c))
	55.2%	(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
	43.0%	(*.f64 (/.f64 c d) (+.f64 (/.f64 a d) (/.f64 b c)))
	30.2%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (neg.f64 b))
	28.7%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (neg.f64 a))
	39.8%	(*.f64 (/.f64 #s(literal 1 binary64) d) b)
	8.1%	(*.f64 (/.f64 #s(literal 1 binary64) d) a)
	23.4%	(.f64 (.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c))
	24.6%	(*.f64 c (/.f64 (/.f64 a d) d))

Compiler

Compiled 866 to 384 computations (55.7% saved)

regimes139.0ms (1.4%)

Counts

50 → 2

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b d)
(/.f64 (neg.f64 a) c)
(/.f64 (neg.f64 a) d)
(*.f64 a (/.f64 #s(literal 1 binary64) c))
(*.f64 (/.f64 #s(literal 1 binary64) d) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) c))
(/.f64 (*.f64 a (/.f64 c d)) d)
(/.f64 (/.f64 (*.f64 a c) d) d)
(.f64 (.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c))
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b (/.f64 d c))))
(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(*.f64 c (/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d))
(*.f64 (/.f64 c d) (+.f64 (/.f64 a d) (/.f64 b c)))
(/.f64 (.f64 b d) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) c)
(/.f64 (+.f64 b (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d))) d)
(/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) d) d)
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 c (+.f64 (/.f64 a d) (/.f64 b c)))))
(.f64 c (+.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d)) (/.f64 b (*.f64 d c))))
(/.f64 (+.f64 b (/.f64 (.f64 c (-.f64 a (.f64 b (/.f64 c d)))) d)) d)
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 a (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 a))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (neg.f64 b))
(*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))
(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 b (/.f64 d c) a)))
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b)))
(.f64 c (+.f64 (/.f64 a (pow.f64 d #s(literal 2 binary64))) (/.f64 b (.f64 d c))))
(/.f64 (.f64 b (neg.f64 (fma.f64 #s(literal -1 binary64) (.f64 (/.f64 a d) (/.f64 c b)) #s(literal -1 binary64)))) d)
(/.f64 (+.f64 a (-.f64 (.f64 b (/.f64 d c)) (.f64 a (pow.f64 (/.f64 d c) #s(literal 2 binary64))))) c)
(/.f64 (+.f64 b (/.f64 (-.f64 (.f64 c a) (.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) d))) d)) d)
(*.f64 c (/.f64 a (pow.f64 (hypot.f64 d c) #s(literal 2 binary64))))
(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
(/.f64 (/.f64 (*.f64 c (+.f64 (/.f64 a d) (/.f64 b c))) (sqrt.f64 d)) (sqrt.f64 d))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (cbrt.f64 (pow.f64 c #s(literal 6 binary64))) (*.f64 d d)))
(/.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (sqrt.f64 d)) (sqrt.f64 d))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 a c (.f64 b d)) (hypot.f64 c d)))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (/.f64 (fma.f64 b (/.f64 d c) a) (cbrt.f64 c)))
(.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)))

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

Calls

5 calls:

74.0ms	c
19.0ms	a
16.0ms	d
13.0ms	b
12.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
77.5%	3	`a`
80.9%	3	`b`
89.6%	5	`c`
84.6%	3	`d`
85.2%	2	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes41.0ms (0.4%)

Counts

46 → 4

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b d)
(/.f64 (neg.f64 a) c)
(/.f64 (neg.f64 a) d)
(*.f64 a (/.f64 #s(literal 1 binary64) c))
(*.f64 (/.f64 #s(literal 1 binary64) d) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 c (/.f64 (/.f64 a d) d))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) c))
(/.f64 (*.f64 a (/.f64 c d)) d)
(/.f64 (/.f64 (*.f64 a c) d) d)
(.f64 (.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c))
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b (/.f64 d c))))
(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(*.f64 c (/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d))
(*.f64 (/.f64 c d) (+.f64 (/.f64 a d) (/.f64 b c)))
(/.f64 (.f64 b d) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) c)
(/.f64 (+.f64 b (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d))) d)
(/.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) d) d)
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 c (+.f64 (/.f64 a d) (/.f64 b c)))))
(.f64 c (+.f64 (.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d)) (/.f64 b (*.f64 d c))))
(/.f64 (+.f64 b (/.f64 (.f64 c (-.f64 a (.f64 b (/.f64 c d)))) d)) d)
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 a (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 a))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (neg.f64 b))
(*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))
(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 b (/.f64 d c) a)))
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b)))
(.f64 c (+.f64 (/.f64 a (pow.f64 d #s(literal 2 binary64))) (/.f64 b (.f64 d c))))
(/.f64 (.f64 b (neg.f64 (fma.f64 #s(literal -1 binary64) (.f64 (/.f64 a d) (/.f64 c b)) #s(literal -1 binary64)))) d)
(/.f64 (+.f64 a (-.f64 (.f64 b (/.f64 d c)) (.f64 a (pow.f64 (/.f64 d c) #s(literal 2 binary64))))) c)
(/.f64 (+.f64 b (/.f64 (-.f64 (.f64 c a) (.f64 b (/.f64 (pow.f64 c #s(literal 2 binary64)) d))) d)) d)
(*.f64 c (/.f64 a (pow.f64 (hypot.f64 d c) #s(literal 2 binary64))))
(*.f64 (/.f64 d (hypot.f64 d c)) (/.f64 b (hypot.f64 d c)))
(/.f64 (fma.f64 a c (.f64 b d)) (fma.f64 c c (.f64 d d)))
(/.f64 (/.f64 (*.f64 c (+.f64 (/.f64 a d) (/.f64 b c))) (sqrt.f64 d)) (sqrt.f64 d))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (cbrt.f64 (pow.f64 c #s(literal 6 binary64))) (*.f64 d d)))
(/.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (sqrt.f64 d)) (sqrt.f64 d))

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

Calls

3 calls:

13.0ms	d
12.0ms	c
12.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
82.7%	4	`d`
85.4%	4	`c`
79.3%	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)

regimes14.0ms (0.1%)

Counts

38 → 4

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
85.3%	4	`c`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes10.0ms (0.1%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
83.2%	3	`c`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes24.0ms (0.2%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	c
5.0ms	d
5.0ms	a
5.0ms	b

Results

Accuracy	Segments	Branch
55.5%	1	`a`
58.5%	2	`b`
71.3%	3	`d`
73.6%	3	`c`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes11.0ms (0.1%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	c
5.0ms	d

Results

Accuracy	Segments	Branch
63.9%	3	`d`
67.1%	3	`c`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Accuracy

Total -26.0b remaining (-75.2%)

Threshold costs -26b (-75.2%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 a c)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
46.0%	1	`a`
46.0%	1	`b`
46.0%	1	`d`
46.0%	1	`c`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
1.0ms	5.598264889848491e+306	+inf

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch40.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	1.2344877440614587e+97	2.601787317071276e+100
14.0ms	1.8575957063137476e-64	8.368762840424448e-62
7.0ms	-14907904364415.553	-7665410507038.571

Results

26.0ms

320×

valid

Compiler

Compiled 746 to 457 computations (38.7% saved)

Precisions

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

ival-mult: 10.0ms (66.7% of total)

ival-add: 3.0ms (20% of total)

ival-div: 2.0ms (13.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
4.0ms	3.3369480144036367e+40	3.855224945308707e+40
14.0ms	1.8575957063137476e-64	8.368762840424448e-62
12.0ms	-14907904364415.553	-7665410507038.571

Results

22.0ms

224×

valid

Compiler

Compiled 478 to 299 computations (37.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 11.0ms (76% of total)

ival-add: 2.0ms (13.8% of total)

ival-div: 1.0ms (6.9% of total)

const: 0.0ms (0% of total)

backward-pass: 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	2.3627521548799637e+25	1.7332132183128314e+29
7.0ms	-14907904364415.553	-7665410507038.571

Results

15.0ms

192×

valid

Compiler

Compiled 362 to 233 computations (35.6% saved)

Precisions

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

ival-mult: 6.0ms (67.6% of total)

ival-add: 2.0ms (22.5% of total)

ival-div: 1.0ms (11.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch221.0ms (2.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
212.0ms	1.9206626476098136e-128	6.312576695261004e-124
7.0ms	-14907904364415.553	-7665410507038.571

Results

213.0ms

192×

valid

Compiler

Compiled 290 to 197 computations (32.1% saved)

Precisions

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

ival-mult: 5.0ms (58.4% of total)

ival-add: 2.0ms (23.4% of total)

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.9287584684412091e-56	4.825914859388833e-56
7.0ms	-14907904364415.553	-7665410507038.571

Results

12.0ms

144×

valid

Compiler

Compiled 170 to 125 computations (26.5% saved)

Precisions

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

ival-mult: 4.0ms (60.9% of total)

ival-div: 1.0ms (15.2% of total)

ival-add: 1.0ms (15.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative`
10×	`*-commutative`
6×	`if-if-or-not`
4×	`sub-neg`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	928
1	128	928
2	139	928
3	145	928
4	149	928
5	150	928

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 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 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 b (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d))) d))
(if (<=.f64 c #s(literal -8000000000000 binary64)) (/.f64 (+.f64 a (.f64 b (/.f64 d c))) c) (if (<=.f64 c #s(literal 60790846849591/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (/.f64 (+.f64 b (/.f64 (.f64 a c) d)) d) (if (<=.f64 c #s(literal 2100000000000000101389482558396345380536936537251670824338318153951929385969214363632478679212228608 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (+.f64 a (-.f64 (.f64 b (/.f64 d c)) (.f64 a (pow.f64 (/.f64 d c) #s(literal 2 binary64))))) c))))
(if (<=.f64 c #s(literal -13500000000000 binary64)) (/.f64 (+.f64 a (.f64 b (/.f64 d c))) c) (if (<=.f64 c #s(literal 3408919107146589/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) (/.f64 (+.f64 b (/.f64 (.f64 a c) d)) d) (if (<=.f64 c #s(literal 38000000000000000429031416253836429361152 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c))))
(if (<=.f64 c #s(literal -9500000000000 binary64)) (/.f64 (+.f64 a (.f64 b (/.f64 d c))) c) (if (<=.f64 c #s(literal 5999999999999999529969516544 binary64)) (/.f64 (+.f64 b (.f64 a (/.f64 c d))) d) (/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c)))
(if (<=.f64 c #s(literal -10000000000000 binary64)) (/.f64 (+.f64 a (.f64 b (/.f64 d c))) c) (if (<=.f64 c #s(literal 6430603855783981/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904 binary64)) (/.f64 b d) (/.f64 (+.f64 a (.f64 b (/.f64 d c))) c)))
(if (<=.f64 c #s(literal -14500000000000 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal 2263772801747305/55213970774324510299478046898216203619608871777363092441300193790394368 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 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 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 b (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d))) d))
(if (<=.f64 (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #s(literal 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 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 b (*.f64 c (/.f64 a d))) d))
(if (<=.f64 c #s(literal -8000000000000 binary64)) (/.f64 (+.f64 a (.f64 b (/.f64 d c))) c) (if (<=.f64 c #s(literal 60790846849591/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (/.f64 (+.f64 b (/.f64 (.f64 a c) d)) d) (if (<=.f64 c #s(literal 2100000000000000101389482558396345380536936537251670824338318153951929385969214363632478679212228608 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (+.f64 a (-.f64 (.f64 b (/.f64 d c)) (.f64 a (pow.f64 (/.f64 d c) #s(literal 2 binary64))))) c))))
(if (<=.f64 c #s(literal -13500000000000 binary64)) (/.f64 (+.f64 a (.f64 b (/.f64 d c))) c) (if (<=.f64 c #s(literal 3408919107146589/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) (/.f64 (+.f64 b (/.f64 (.f64 a c) d)) d) (if (<=.f64 c #s(literal 38000000000000000429031416253836429361152 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c))))
(if (<=.f64 c #s(literal -9500000000000 binary64)) (/.f64 (+.f64 a (.f64 b (/.f64 d c))) c) (if (<=.f64 c #s(literal 5999999999999999529969516544 binary64)) (/.f64 (+.f64 b (.f64 a (/.f64 c d))) d) (/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c)))
(if (or (<=.f64 c #s(literal -9500000000000 binary64)) (not (<=.f64 c #s(literal 5999999999999999529969516544 binary64)))) (/.f64 (+.f64 a (.f64 b (/.f64 d c))) c) (/.f64 (+.f64 b (.f64 a (/.f64 c d))) d))
(if (<=.f64 c #s(literal -10000000000000 binary64)) (/.f64 (+.f64 a (.f64 b (/.f64 d c))) c) (if (<=.f64 c #s(literal 6430603855783981/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904 binary64)) (/.f64 b d) (/.f64 (+.f64 a (.f64 b (/.f64 d c))) c)))
(if (or (<=.f64 c #s(literal -10000000000000 binary64)) (not (<=.f64 c #s(literal 6430603855783981/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904 binary64)))) (/.f64 (+.f64 a (*.f64 b (/.f64 d c))) c) (/.f64 b d))
(if (<=.f64 c #s(literal -14500000000000 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal 2263772801747305/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (/.f64 b d) (/.f64 a c)))
(if (or (<=.f64 c #s(literal -14500000000000 binary64)) (not (<=.f64 c #s(literal 2263772801747305/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)))) (/.f64 a c) (/.f64 b d))
(/.f64 a c)

soundness939.0ms (9.5%)

Rules

822×	`log1p-expm1-u`
822×	`expm1-log1p-u`
780×	`fma-define`
592×	`cancel-sign-sub-inv`
532×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	608	23826
1	1506	22454
2	4828	22334
0	22	260
1	267	240
2	3557	240
0	1666	53558
1	4462	52019
0	37	637
1	670	609

Stop Event

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

Compiler

Compiled 739 to 222 computations (70% saved)

preprocess62.0ms (0.6%)

Compiler: Compiled 576 to 226 computations (60.8% saved)

analyze34.0ms (0.3%)

sample1.8s (18.5%)

preprocess401.0ms (4.1%)

explain98.0ms (1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize244.0ms (2.5%)

series35.0ms (0.4%)

rewrite289.0ms (2.9%)

simplify443.0ms (4.5%)

eval40.0ms (0.4%)

prune76.0ms (0.8%)

localize223.0ms (2.3%)

series349.0ms (3.5%)

rewrite193.0ms (2%)

simplify703.0ms (7.1%)

eval355.0ms (3.6%)

prune274.0ms (2.8%)

localize431.0ms (4.4%)

series41.0ms (0.4%)

rewrite124.0ms (1.3%)

simplify285.0ms (2.9%)

eval119.0ms (1.2%)

prune533.0ms (5.4%)

localize254.0ms (2.6%)

series45.0ms (0.5%)

rewrite225.0ms (2.3%)

simplify282.0ms (2.9%)

eval147.0ms (1.5%)

prune172.0ms (1.7%)

regimes139.0ms (1.4%)

regimes41.0ms (0.4%)

regimes14.0ms (0.1%)

regimes10.0ms (0.1%)

regimes24.0ms (0.2%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch40.0ms (0.4%)

bsearch33.0ms (0.3%)

bsearch24.0ms (0.2%)

bsearch221.0ms (2.2%)

bsearch18.0ms (0.2%)

simplify18.0ms (0.2%)

soundness939.0ms (9.5%)

preprocess62.0ms (0.6%)

end0.0ms (0%)

Profiling