Metrics for Expression, p14

analyze472.0ms (6.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
25%	0%	0%	100%	0%	0%	0%	5
25%	0%	0%	100%	0%	0%	0%	6
25%	0%	0%	100%	0%	0%	0%	7
37.5%	0%	0%	100%	0%	0%	0%	8
56.3%	0%	0%	100%	0%	0%	0%	9
56.3%	0%	0%	100%	0%	0%	0%	10
56.3%	0%	0%	100%	0%	0%	0%	11
65.6%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 42 to 27 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 294.0ms

ival-<=: 139.0ms (47.3% of total)

ival-add: 91.0ms (31% of total)

...c/correct-round.rkt:121:19: 33.0ms (11.2% of total)

ival-mult: 14.0ms (4.8% of total)

ival-and: 13.0ms (4.4% of total)

const: 4.0ms (1.4% of total)

backward-pass: 1.0ms (0.3% of total)

sample1.9s (26.2%)

Results

1.4s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 937.0ms

ival-<=: 436.0ms (46.6% of total)

...c/correct-round.rkt:121:19: 189.0ms (20.2% of total)

ival-add: 118.0ms (12.6% of total)

ival-mult: 116.0ms (12.4% of total)

ival-and: 57.0ms (6.1% of total)

const: 19.0ms (2% of total)

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

Bogosity

preprocess475.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

2098×	`fma-neg`
591×	`unsub-neg`
372×	`distribute-lft-in`
348×	`distribute-rgt-in`
256×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	520
1	177	512
2	608	500
3	1812	500
4	3738	500
5	4571	500
6	5027	500
7	5049	500
8	5049	500
9	5068	500
10	5068	500
11	5068	500
12	6951	500
13	6951	500
14	6951	500

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(negabs a)

(sort b c d)

explain136.0ms (1.9%)

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Results

91.0ms

512×

valid

Compiler

Compiled 70 to 30 computations (57.1% saved)

Precisions

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

ival-mult: 10.0ms (59.8% of total)

ival-add: 6.0ms (35.9% of total)

const: 1.0ms (6% of total)

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

eval0.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

28×	`fma-define`
12×	`distribute-lft-in`
10×	`distribute-rgt-in`
7×	`*-commutative`
6×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	82
1	25	82
2	50	82
3	93	82
4	111	82

Stop Event

1×

saturated

Calls

Call 1

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

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

localize26.0ms (0.4%)

Localize:

Found 3 expressions of interest:

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

Results

20.0ms

256×

valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

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

ival-add: 6.0ms (75.8% of total)

ival-mult: 2.0ms (25.3% of total)

const: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Counts

3 → 102

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite385.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`log1p-expm1-u`
990×	`expm1-log1p-u`
459×	`fma-define`
431×	`log-prod`
215×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	66
1	174	66
2	2619	66

Stop Event

1×	node limit

Counts

3 → 182

Calls

Call 1

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

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

simplify235.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

940×	`times-frac`
301×	`cancel-sign-sub-inv`
281×	`fma-neg`
251×	`distribute-lft-neg-in`
234×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	467	9160
1	1136	8992
2	3358	8936

Stop Event

1×	node limit

Counts

284 → 269

Calls

Call 1

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

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

eval67.0ms (0.9%)

Compiler: Compiled 3616 to 816 computations (77.4% saved)

prune115.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	264	5	269
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	264	6	270

Accuracy

100.0%

Counts

270 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 d a (*.f64 a (+.f64 b c)))
▶	100.0%	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
▶	100.0%	(.f64 d (+.f64 a (/.f64 (.f64 a (+.f64 b c)) d)))
✓	99.9%	(*.f64 a (+.f64 (+.f64 b c) d))
▶	99.6%	(*.f64 a (+.f64 c d))
▶	93.8%	(*.f64 a d)

Compiler

Compiled 123 to 77 computations (37.4% saved)

simplify319.0ms (4.4%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(+.f64 b c)
✓	cost-diff	0	(*.f64 a (+.f64 b c))
✓	cost-diff	0	(/.f64 (*.f64 a (+.f64 b c)) d)
✓	cost-diff	256	(.f64 d (+.f64 a (/.f64 (.f64 a (+.f64 b c)) d)))
✓	cost-diff	0	(*.f64 a d)
	cost-diff	0	(+.f64 b c)
✓	cost-diff	0	(*.f64 a (+.f64 b c))
✓	cost-diff	128	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
✓	cost-diff	0	(+.f64 c d)
✓	cost-diff	0	(*.f64 a (+.f64 c d))
✓	cost-diff	0	(*.f64 a d)
	cost-diff	0	(+.f64 b c)
✓	cost-diff	0	(*.f64 a (+.f64 b c))
✓	cost-diff	6400	(fma.f64 d a (*.f64 a (+.f64 b c)))

Rules

2090×	`distribute-lft-in`
952×	`fma-define`
802×	`*-commutative`
739×	`distribute-lft-out`
602×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	398
1	50	394
2	90	394
3	151	394
4	234	394
5	364	394
6	773	394
7	2042	394
8	4012	394
9	5487	394
10	6515	394
11	6532	394
12	6532	394
13	7039	394
14	7765	394
15	7968	394
16	7992	394
17	7992	394
18	7992	394
19	7992	394

Stop Event

1×	node limit

Calls

Call 1

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

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

localize139.0ms (1.9%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 a (/.f64 (*.f64 a (+.f64 b c)) d))
✓	accuracy	100.0%	(.f64 d (+.f64 a (/.f64 (.f64 a (+.f64 b c)) d)))
✓	accuracy	99.9%	(*.f64 a (+.f64 b c))
✓	accuracy	99.6%	(/.f64 (*.f64 a (+.f64 b c)) d)
	accuracy	100.0%	(+.f64 b c)
✓	accuracy	100.0%	(*.f64 a d)
✓	accuracy	100.0%	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
✓	accuracy	99.9%	(*.f64 a (+.f64 b c))
✓	accuracy	100.0%	(+.f64 c d)
✓	accuracy	99.9%	(*.f64 a (+.f64 c d))
✓	accuracy	100.0%	(*.f64 a d)
	accuracy	100.0%	(+.f64 b c)
✓	accuracy	100.0%	(fma.f64 d a (*.f64 a (+.f64 b c)))
✓	accuracy	99.9%	(*.f64 a (+.f64 b c))

Results

110.0ms

256×

valid

Compiler

Compiled 104 to 15 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-add: 7.0ms (35.4% of total)

ival-mult: 7.0ms (35.4% of total)

ival-fma: 3.0ms (15.2% of total)

ival-div: 2.0ms (10.1% of total)

const: 0.0ms (0% of total)

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

series41.0ms (0.6%)

Counts

9 → 273

Calls

Call 1

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

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

Calls

90 calls:

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

rewrite306.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1242×	`log1p-expm1-u`
402×	`expm1-log1p-u`
162×	`add-cube-cbrt`
160×	`associate-r`
158×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	252
1	353	244
2	5459	244

Stop Event

1×	node limit

Counts

9 → 291

Calls

Call 1

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

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

simplify526.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

807×	`fma-neg`
516×	`associate-r`
434×	`associate-l`
410×	`fma-define`
291×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	698	25227
1	1855	23025
2	7109	23025

Stop Event

1×	node limit

Counts

564 → 456

Calls

Call 1

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

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

eval185.0ms (2.5%)

Compiler: Compiled 11284 to 1983 computations (82.4% saved)

prune111.0ms (1.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	730	2	732
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	732	6	738

Accuracy

100.0%

Counts

738 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 d a (*.f64 a (+.f64 b c)))
▶	99.6%	(+.f64 (.f64 d a) (.f64 a c))
▶	99.6%	(.f64 d (+.f64 a (/.f64 (.f64 a c) d)))
✓	99.9%	(*.f64 a (+.f64 (+.f64 b c) d))
✓	99.6%	(*.f64 a (+.f64 c d))
✓	93.8%	(*.f64 a d)

Compiler

Compiled 63 to 40 computations (36.5% saved)

simplify173.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 a c)
✓	cost-diff	0	(*.f64 d a)
✓	cost-diff	128	(+.f64 (.f64 d a) (.f64 a c))
✓	cost-diff	-6272	(+.f64 a (/.f64 (*.f64 a c) d))
✓	cost-diff	0	(*.f64 a c)
✓	cost-diff	0	(/.f64 (*.f64 a c) d)
✓	cost-diff	256	(.f64 d (+.f64 a (/.f64 (.f64 a c) d)))

Rules

2286×	`associate-/l/`
1542×	`associate-/l*`
1009×	`associate-/r*`
534×	`fma-define`
347×	`distribute-lft-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	196
1	29	184
2	53	184
3	85	168
4	124	156
5	143	156
6	271	156
7	875	156
8	2210	156
9	2920	156
10	3148	156
11	3232	156
12	3233	156
13	3233	156
14	4122	156
15	4146	156
16	4147	156
17	4147	156
18	5945	156
19	6225	156

Stop Event

1×	node limit

Calls

Call 1

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

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

localize40.0ms (0.5%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 d a)
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	100.0%	(+.f64 (.f64 d a) (.f64 a c))
✓	accuracy	100.0%	(+.f64 a (/.f64 (*.f64 a c) d))
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	100.0%	(.f64 d (+.f64 a (/.f64 (.f64 a c) d)))
✓	accuracy	99.6%	(/.f64 (*.f64 a c) d)

Results

30.0ms

256×

valid

Compiler

Compiled 48 to 11 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 8.0ms (62.8% of total)

ival-div: 2.0ms (15.7% of total)

ival-add: 2.0ms (15.7% of total)

const: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Counts

6 → 120

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite154.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

801×	`log1p-expm1-u`
801×	`expm1-log1p-u`
571×	`fma-define`
301×	`fma-neg`
198×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	146
1	221	133
2	3449	133

Stop Event

1×	node limit

Counts

6 → 287

Calls

Call 1

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

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

simplify502.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

452×	`distribute-lft-neg-in`
426×	`distribute-rgt-neg-in`
412×	`fma-neg`
289×	`associate-r`
277×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	579	12343
1	1359	11201
2	4130	11177

Stop Event

1×	node limit

Counts

407 → 327

Calls

Call 1

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

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

eval72.0ms (1%)

Compiler: Compiled 4826 to 870 computations (82% saved)

prune124.0ms (1.7%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	339	1	340
Fresh	0	0	0
Picked	0	2	2
Done	1	3	4
Total	340	6	346

Accuracy

100.0%

Counts

346 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(fma.f64 d a (*.f64 a c))
✓	99.6%	(+.f64 (.f64 d a) (.f64 a c))
✓	99.6%	(.f64 d (+.f64 a (/.f64 (.f64 a c) d)))
✓	99.9%	(*.f64 a (+.f64 (+.f64 b c) d))
✓	99.6%	(*.f64 a (+.f64 c d))
✓	93.8%	(*.f64 a d)

Compiler

Compiled 61 to 39 computations (36.1% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 a c)
✓	cost-diff	6400	(fma.f64 d a (*.f64 a c))

Rules

3×	`*-commutative`
3×	`fma-define`
2×	`+-commutative`
1×	`fma-undefine`
1×	`distribute-rgt-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	15	47
2	19	47
3	25	47

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 d a (*.f64 a c))
d
a
(*.f64 a c)
c

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

localize24.0ms (0.3%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 d a (*.f64 a c))
	accuracy	100.0%	(*.f64 a c)

Results

18.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-fma: 3.0ms (53.5% of total)

ival-mult: 2.0ms (35.7% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

1 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite70.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

440×	`log1p-expm1-u`
440×	`expm1-log1p-u`
421×	`add-exp-log`
405×	`add-log-exp`
401×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	107	22
2	1196	22

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(fma.f64 d a (*.f64 a c))

Outputs
(+.f64 (.f64 a c) (.f64 d a))
(+.f64 (.f64 d a) (.f64 a c))
(+.f64 #s(literal 0 binary64) (*.f64 a (+.f64 d c)))
(+.f64 (.f64 (.f64 d a) #s(literal 1 binary64)) (*.f64 a c))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 d c))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 d c)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 d c)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 d c)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 d c))) #s(literal 1 binary64))
(*.f64 a (+.f64 d c))
(.f64 (.f64 a (+.f64 d c)) #s(literal 1 binary64))
(.f64 (.f64 a (+.f64 d c)) (log.f64 (E.f64)))
(.f64 #s(literal 1 binary64) (.f64 a (+.f64 d c)))
(.f64 (cbrt.f64 (.f64 a (+.f64 d c))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 a (+.f64 d c))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 a (+.f64 d c))))
(.f64 (sqrt.f64 (.f64 a (+.f64 d c))) (sqrt.f64 (*.f64 a (+.f64 d c))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 a (+.f64 d c)))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 a (+.f64 d c)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 a (+.f64 d c)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 a (+.f64 d c)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 a (+.f64 d c)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 a (+.f64 d c)) (cbrt.f64 (.f64 a (+.f64 d c)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 a (+.f64 d c)))))
(.f64 (pow.f64 (pow.f64 (.f64 a (+.f64 d c)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 a (+.f64 d c)))))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (.f64 a (+.f64 d c)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 a (+.f64 d c)) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a (+.f64 d c)) (cbrt.f64 (.f64 a (+.f64 d c)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 a (+.f64 d c)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 a (+.f64 d c)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 a (+.f64 d c)))))
(/.f64 (+.f64 (pow.f64 (.f64 d a) #s(literal 3 binary64)) (pow.f64 (.f64 a c) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 d a) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (.f64 (.f64 d a) (*.f64 a c)))))
(/.f64 (-.f64 (pow.f64 (.f64 d a) #s(literal 2 binary64)) (pow.f64 (.f64 a c) #s(literal 2 binary64))) (-.f64 (.f64 d a) (.f64 a c)))
(pow.f64 (*.f64 a (+.f64 d c)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a (+.f64 d c)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 a (+.f64 d c)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 d c))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 a (+.f64 d c))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 a (+.f64 d c)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 a (+.f64 d c)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 a (+.f64 d c))))) (sqrt.f64 (log.f64 (.f64 a (+.f64 d c)))))
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 d c)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 d c)))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 d c)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 d c))))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 d c))))
(exp.f64 (log.f64 (*.f64 a (+.f64 d c))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a (+.f64 d c)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 a (+.f64 d c)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 a (+.f64 d c)))) #s(literal 2 binary64)))

simplify108.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

597×	`times-frac`
424×	`fma-define`
360×	`prod-exp`
350×	`fma-neg`
301×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	2272
1	325	2224
2	1028	2196
3	3588	2196
4	7730	2196

Stop Event

1×	node limit

Counts

77 → 64

Calls

Call 1

Inputs
(*.f64 a c)
(+.f64 (.f64 a c) (.f64 a d))
(+.f64 (.f64 a c) (.f64 a d))
(+.f64 (.f64 a c) (.f64 a d))
(*.f64 a d)
(.f64 d (+.f64 a (/.f64 (.f64 a c) d)))
(.f64 d (+.f64 a (/.f64 (.f64 a c) d)))
(.f64 d (+.f64 a (/.f64 (.f64 a c) d)))
(*.f64 a d)
(.f64 #s(literal -1 binary64) (.f64 d (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))
(.f64 #s(literal -1 binary64) (.f64 d (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))
(.f64 #s(literal -1 binary64) (.f64 d (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) c) (.f64 #s(literal -1 binary64) d))))
(.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) c) (.f64 #s(literal -1 binary64) d))))
(.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) c) (.f64 #s(literal -1 binary64) d))))
(.f64 #s(literal -1 binary64) (.f64 a (+.f64 (.f64 #s(literal -1 binary64) c) (.f64 #s(literal -1 binary64) d))))
(*.f64 a d)
(+.f64 (.f64 a c) (.f64 a d))
(+.f64 (.f64 a c) (.f64 a d))
(+.f64 (.f64 a c) (.f64 a d))
(*.f64 a c)
(.f64 c (+.f64 a (/.f64 (.f64 a d) c)))
(.f64 c (+.f64 a (/.f64 (.f64 a d) c)))
(.f64 c (+.f64 a (/.f64 (.f64 a d) c)))
(*.f64 a c)
(.f64 #s(literal -1 binary64) (.f64 c (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))
(.f64 #s(literal -1 binary64) (.f64 c (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))
(.f64 #s(literal -1 binary64) (.f64 c (+.f64 (.f64 #s(literal -1 binary64) a) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))))
(+.f64 (.f64 a c) (.f64 d a))
(+.f64 (.f64 d a) (.f64 a c))
(+.f64 #s(literal 0 binary64) (*.f64 a (+.f64 d c)))
(+.f64 (.f64 (.f64 d a) #s(literal 1 binary64)) (*.f64 a c))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 d c))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 d c)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 d c)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 d c)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 d c))) #s(literal 1 binary64))
(*.f64 a (+.f64 d c))
(.f64 (.f64 a (+.f64 d c)) #s(literal 1 binary64))
(.f64 (.f64 a (+.f64 d c)) (log.f64 (E.f64)))
(.f64 #s(literal 1 binary64) (.f64 a (+.f64 d c)))
(.f64 (cbrt.f64 (.f64 a (+.f64 d c))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 a (+.f64 d c))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 a (+.f64 d c))))
(.f64 (sqrt.f64 (.f64 a (+.f64 d c))) (sqrt.f64 (*.f64 a (+.f64 d c))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 a (+.f64 d c)))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 a (+.f64 d c)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 a (+.f64 d c)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 a (+.f64 d c)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 a (+.f64 d c)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 a (+.f64 d c)) (cbrt.f64 (.f64 a (+.f64 d c)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 a (+.f64 d c)))))
(.f64 (pow.f64 (pow.f64 (.f64 a (+.f64 d c)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 a (+.f64 d c)))))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (.f64 a (+.f64 d c)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 a (+.f64 d c)) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a (+.f64 d c)) (cbrt.f64 (.f64 a (+.f64 d c)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 a (+.f64 d c)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 a (+.f64 d c)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 a (+.f64 d c)))))
(/.f64 (+.f64 (pow.f64 (.f64 d a) #s(literal 3 binary64)) (pow.f64 (.f64 a c) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 d a) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) (.f64 (.f64 d a) (*.f64 a c)))))
(/.f64 (-.f64 (pow.f64 (.f64 d a) #s(literal 2 binary64)) (pow.f64 (.f64 a c) #s(literal 2 binary64))) (-.f64 (.f64 d a) (.f64 a c)))
(pow.f64 (*.f64 a (+.f64 d c)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a (+.f64 d c)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 a (+.f64 d c)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 d c))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 a (+.f64 d c))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 a (+.f64 d c)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 a (+.f64 d c)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 a (+.f64 d c))))) (sqrt.f64 (log.f64 (.f64 a (+.f64 d c)))))
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 d c)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 d c)))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 d c)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 d c))))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 d c))))
(exp.f64 (log.f64 (*.f64 a (+.f64 d c))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a (+.f64 d c)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 a (+.f64 d c)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 a (+.f64 d c)))) #s(literal 2 binary64)))

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

eval11.0ms (0.1%)

Compiler: Compiled 986 to 239 computations (75.8% saved)

prune18.0ms (0.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	77	6	83

Accuracy

100.0%

Counts

83 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(fma.f64 d a (*.f64 a c))
✓	99.6%	(+.f64 (.f64 d a) (.f64 a c))
✓	99.6%	(.f64 d (+.f64 a (/.f64 (.f64 a c) d)))
✓	99.9%	(*.f64 a (+.f64 (+.f64 b c) d))
✓	99.6%	(*.f64 a (+.f64 c d))
✓	93.8%	(*.f64 a d)

Compiler

Compiled 130 to 62 computations (52.3% saved)

regimes27.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes80.0ms (1.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

7 calls:

59.0ms	c
4.0ms	(+.f64 b c)
3.0ms	(+.f64 (+.f64 b c) d)
3.0ms	b
3.0ms	d

Results

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

Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes121.0ms (1.7%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

7 calls:

76.0ms	a
31.0ms	(+.f64 (+.f64 b c) d)
3.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
3.0ms	b
3.0ms	(+.f64 b c)

Results

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

Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes29.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

14.0ms	d
2.0ms	c
2.0ms	(+.f64 b c)
2.0ms	(+.f64 (+.f64 b c) d)
2.0ms	b

Results

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

Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes7.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`a`
99.6%	1	`b`
99.6%	1	`c`
99.6%	1	`d`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 a d)

Outputs
(*.f64 a d)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
93.8%	1	`a`
93.8%	1	`b`
93.8%	1	`c`
93.8%	1	`d`

Compiler

Compiled 20 to 16 computations (20% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative`
5×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	191
1	34	191

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness142.0ms (2%)

Rules

990×	`log1p-expm1-u`
990×	`expm1-log1p-u`
459×	`fma-define`
431×	`log-prod`
215×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	66
1	174	66
2	2619	66

Stop Event

1×	done
1×	node limit

Compiler

Compiled 110 to 41 computations (62.7% saved)

preprocess75.0ms (1%)

Remove: (negabs a)
Compiler: Compiled 574 to 314 computations (45.3% saved)

analyze472.0ms (6.5%)

sample1.9s (26.2%)

preprocess475.0ms (6.5%)

explain136.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.2%)

localize26.0ms (0.4%)

series13.0ms (0.2%)

rewrite385.0ms (5.3%)

simplify235.0ms (3.2%)

eval67.0ms (0.9%)

prune115.0ms (1.6%)

simplify319.0ms (4.4%)

localize139.0ms (1.9%)

series41.0ms (0.6%)

rewrite306.0ms (4.2%)

simplify526.0ms (7.2%)

eval185.0ms (2.5%)

prune111.0ms (1.5%)

simplify173.0ms (2.4%)

localize40.0ms (0.5%)

series17.0ms (0.2%)

rewrite154.0ms (2.1%)

simplify502.0ms (6.9%)

eval72.0ms (1%)

prune124.0ms (1.7%)

simplify7.0ms (0.1%)

localize24.0ms (0.3%)

series2.0ms (0%)

rewrite70.0ms (1%)

simplify108.0ms (1.5%)

eval11.0ms (0.1%)

prune18.0ms (0.3%)

regimes27.0ms (0.4%)

regimes80.0ms (1.1%)

regimes121.0ms (1.7%)

regimes29.0ms (0.4%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

simplify3.0ms (0%)

soundness142.0ms (2%)

preprocess75.0ms (1%)

end0.0ms (0%)

Profiling