Metrics for Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

const: 0.0ms (0% of total)

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

sample1.1s (42.2%)

Results

742.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

ival-mult: 143.0ms (71.3% of total)

ival-sub: 44.0ms (21.9% of total)

const: 11.0ms (5.5% of total)

backward-pass: 3.0ms (1.5% of total)

Bogosity

preprocess207.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

360×	`fma-define`
206×	`fma-neg`
92×	`cancel-sign-sub-inv`
89×	`associate-r`
85×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	332
1	103	314
2	247	276
3	629	276
4	1120	276
5	1518	276
6	1555	276
7	1560	276
8	1560	276
9	1560	276

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 (neg.f64 x) (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 x (.f64 (.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(neg.f64 (-.f64 (neg.f64 x) (.f64 (.f64 y #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 x (.f64 (.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(-.f64 y (.f64 (.f64 x #s(literal 4 binary64)) z))
(-.f64 z (.f64 (.f64 y #s(literal 4 binary64)) x))
(-.f64 x (.f64 (.f64 z #s(literal 4 binary64)) y))

Outputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(+.f64 x (.f64 z (.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(+.f64 x (.f64 z (.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 (neg.f64 x) (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 (neg.f64 x) (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 #s(literal -1 binary64) x (.f64 z (.f64 y #s(literal -4 binary64))))
(-.f64 (.f64 z (.f64 y #s(literal -4 binary64))) x)
(-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) x)
(-.f64 x (.f64 (.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 x (.f64 z (.f64 #s(literal 4 binary64) (neg.f64 y))))
(+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(-.f64 x (.f64 z (.f64 #s(literal 4 binary64) (neg.f64 y))))
(+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(neg.f64 (-.f64 (neg.f64 x) (.f64 (.f64 y #s(literal 4 binary64)) z)))
(-.f64 x (.f64 z (.f64 #s(literal 4 binary64) (neg.f64 y))))
(+.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(neg.f64 (-.f64 x (.f64 (.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(-.f64 (neg.f64 x) (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 #s(literal -1 binary64) x (.f64 z (.f64 y #s(literal -4 binary64))))
(-.f64 (.f64 z (.f64 y #s(literal -4 binary64))) x)
(-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) x)
(neg.f64 (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(-.f64 (neg.f64 x) (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 #s(literal -1 binary64) x (.f64 z (.f64 y #s(literal -4 binary64))))
(-.f64 (.f64 z (.f64 y #s(literal -4 binary64))) x)
(-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) x)
(-.f64 y (.f64 (.f64 x #s(literal 4 binary64)) z))
(-.f64 y (.f64 x (.f64 #s(literal 4 binary64) z)))
(+.f64 y (.f64 z (.f64 x #s(literal -4 binary64))))
(fma.f64 x (*.f64 z #s(literal -4 binary64)) y)
(-.f64 z (.f64 (.f64 y #s(literal 4 binary64)) x))
(-.f64 z (.f64 x (.f64 y #s(literal 4 binary64))))
(+.f64 z (.f64 x (.f64 y #s(literal -4 binary64))))
(fma.f64 x (*.f64 y #s(literal -4 binary64)) z)
(-.f64 x (.f64 (.f64 z #s(literal 4 binary64)) y))
(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(+.f64 x (.f64 z (.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)

Symmetry

(sort y z)

explain63.0ms (2.4%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
-	-	`#s(literal 4 binary64)`
-	-	`z`
-	-	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
-	-	`(*.f64 y #s(literal 4 binary64))`
-	-	`y`

Results

36.0ms

512×

valid

Compiler

Compiled 56 to 23 computations (58.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 8.0ms (70.7% of total)

ival-sub: 3.0ms (26.5% of total)

const: 1.0ms (8.8% of total)

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

eval1.0ms (0%)

Compiler: Compiled 23 to 13 computations (43.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Compiler

Compiled 10 to 7 computations (30% saved)

localize54.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
✓	cost-diff	0	(*.f64 y #s(literal 4 binary64))
✓	cost-diff	0	(.f64 (.f64 y #s(literal 4 binary64)) z)
✓	accuracy	100.0%	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
✓	accuracy	100.0%	(.f64 (.f64 y #s(literal 4 binary64)) z)
✓	accuracy	100.0%	(*.f64 y #s(literal 4 binary64))

Rules

282×	`fma-define`
110×	`fma-neg`
45×	`cancel-sign-sub-inv`
43×	`distribute-lft-neg-in`
27×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	70
1	23	70
2	53	66
3	111	66
4	164	66
5	225	66
6	319	66
7	396	66
8	519	66
9	731	66
10	817	66
11	829	66

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
x
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z

Outputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(+.f64 x (.f64 z (.f64 y #s(literal -4 binary64))))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
x
(.f64 (.f64 y #s(literal 4 binary64)) z)
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 4 binary64) z))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z

Results

18.0ms

256×

valid

Compiler

Compiled 23 to 8 computations (65.2% saved)

Precisions

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

ival-mult: 4.0ms (71% of total)

ival-sub: 1.0ms (17.8% of total)

const: 0.0ms (0% of total)

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

series9.0ms (0.4%)

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (*.f64 y #s(literal 4 binary64))>
#<alt (.f64 (.f64 y #s(literal 4 binary64)) z)>
#<alt (-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))>

Outputs
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))>
#<alt (-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))>
#<alt (-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))>
#<alt (.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))>
#<alt (.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))>
#<alt x>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))>
#<alt (.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))>
#<alt (.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y))))>

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(- x (* (* y 4) z))
1.0ms	y	@	inf	(* (* y 4) z)
1.0ms	y	@	0	(* (* y 4) z)
1.0ms	z	@	inf	(* (* y 4) z)
1.0ms	z	@	0	(* (* y 4) z)

rewrite243.0ms (9.5%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`prod-diff`
703×	`log1p-expm1-u`
703×	`expm1-log1p-u`
394×	`log-prod`
240×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	143	57
2	1937	53

Stop Event

1×	node limit

Counts

3 → 214

Calls

Call 1

Inputs
(*.f64 y #s(literal 4 binary64))
(.f64 (.f64 y #s(literal 4 binary64)) z)
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal 4 binary64) z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) #s(literal 1 binary64))
(pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 #s(literal 4 binary64) z))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 #s(literal 4 binary64) z))))
(exp.f64 (log.f64 (.f64 y (.f64 #s(literal 4 binary64) z))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 #s(literal 4 binary64) z)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 #s(literal 4 binary64) z)))) #s(literal 2 binary64)))
(+.f64 x (.f64 z (.f64 y #s(literal -4 binary64))))
(+.f64 x (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64)))
(+.f64 (fma.f64 z (.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (.f64 #s(literal 4 binary64) z)) y (.f64 y (.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 z (.f64 y #s(literal -4 binary64)) x) (fma.f64 (.f64 y #s(literal -4 binary64)) z (.f64 y (.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 z (.f64 y #s(literal -4 binary64)) x) (fma.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 z (.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 z (.f64 y #s(literal -4 binary64)) x) (fma.f64 #s(literal -1 binary64) (.f64 y (.f64 #s(literal 4 binary64) z)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 z (.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))) (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 z (.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 y (.f64 #s(literal 4 binary64) z))))
(+.f64 (.f64 z (.f64 y #s(literal -4 binary64))) x)
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(fma.f64 (sqrt.f64 (fma.f64 z (.f64 y #s(literal -4 binary64)) x)) (sqrt.f64 (fma.f64 z (.f64 y #s(literal -4 binary64)) x)) (fma.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (sqrt.f64 (fma.f64 z (.f64 y #s(literal -4 binary64)) x)) (sqrt.f64 (fma.f64 z (.f64 y #s(literal -4 binary64)) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) (neg.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 z (.f64 y #s(literal -4 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (.f64 #s(literal 4 binary64) z)) y (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (.f64 y #s(literal -4 binary64)) z (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (.f64 #s(literal 4 binary64) z)) y (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (.f64 y #s(literal -4 binary64)) z (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(fma.f64 (neg.f64 z) (*.f64 y #s(literal 4 binary64)) x)
(fma.f64 (neg.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) x)
(fma.f64 (.f64 (cbrt.f64 (.f64 z (.f64 y #s(literal -4 binary64)))) (cbrt.f64 (.f64 z (.f64 y #s(literal -4 binary64))))) (cbrt.f64 (.f64 z (*.f64 y #s(literal -4 binary64)))) x)
(fma.f64 (sqrt.f64 (.f64 z (.f64 y #s(literal -4 binary64)))) (sqrt.f64 (.f64 z (.f64 y #s(literal -4 binary64)))) x)
(fma.f64 #s(literal -1 binary64) (.f64 y (.f64 #s(literal 4 binary64) z)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (fma.f64 (neg.f64 (.f64 #s(literal 4 binary64) z)) y (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (fma.f64 (.f64 y #s(literal -4 binary64)) z (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (fma.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))) (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) x)
(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)) z x)
(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) (sqrt.f64 z)) (sqrt.f64 z) x)

simplify276.0ms (10.8%)

Algorithm

1×	egg-herbie

Rules

722×	`times-frac`
481×	`distribute-lft-in`
411×	`cancel-sign-sub-inv`
406×	`distribute-lft-neg-in`
368×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	530	9536
1	1288	8862
2	3520	8266

Stop Event

1×	node limit

Counts

286 → 254

Calls

Call 1

Inputs
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))
(-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))
(-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))
x
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))
(.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))
(.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))
x
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))
(.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))
(.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y))))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal 4 binary64) z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) #s(literal 1 binary64))
(pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 #s(literal 4 binary64) z))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 #s(literal 4 binary64) z))))
(exp.f64 (log.f64 (.f64 y (.f64 #s(literal 4 binary64) z))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 #s(literal 4 binary64) z)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 #s(literal 4 binary64) z)))) #s(literal 2 binary64)))
(+.f64 x (.f64 z (.f64 y #s(literal -4 binary64))))
(+.f64 x (.f64 (.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64)))
(+.f64 (fma.f64 z (.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (.f64 #s(literal 4 binary64) z)) y (.f64 y (.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 z (.f64 y #s(literal -4 binary64)) x) (fma.f64 (.f64 y #s(literal -4 binary64)) z (.f64 y (.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 z (.f64 y #s(literal -4 binary64)) x) (fma.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 z (.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 z (.f64 y #s(literal -4 binary64)) x) (fma.f64 #s(literal -1 binary64) (.f64 y (.f64 #s(literal 4 binary64) z)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 z (.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))) (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(+.f64 (fma.f64 z (.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 y (.f64 #s(literal 4 binary64) z))))
(+.f64 (.f64 z (.f64 y #s(literal -4 binary64))) x)
(+.f64 #s(literal 0 binary64) (fma.f64 z (*.f64 y #s(literal -4 binary64)) x))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (.f64 y z) #s(literal 4 binary64)))) (fma.f64 (neg.f64 (.f64 y z)) #s(literal 4 binary64) (.f64 (*.f64 y z) #s(literal 4 binary64))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64))) z) (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64))) z)) (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (.f64 (.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64))) z) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (cbrt.f64 z) (.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 z) (.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (.f64 (cbrt.f64 z) (.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
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(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (.f64 y #s(literal -4 binary64)) z (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (.f64 #s(literal 4 binary64) z)) y (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (.f64 y #s(literal -4 binary64)) z (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(fma.f64 (neg.f64 z) (*.f64 y #s(literal 4 binary64)) x)
(fma.f64 (neg.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) x)
(fma.f64 (.f64 (cbrt.f64 (.f64 z (.f64 y #s(literal -4 binary64)))) (cbrt.f64 (.f64 z (.f64 y #s(literal -4 binary64))))) (cbrt.f64 (.f64 z (*.f64 y #s(literal -4 binary64)))) x)
(fma.f64 (sqrt.f64 (.f64 z (.f64 y #s(literal -4 binary64)))) (sqrt.f64 (.f64 z (.f64 y #s(literal -4 binary64)))) x)
(fma.f64 #s(literal -1 binary64) (.f64 y (.f64 #s(literal 4 binary64) z)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (fma.f64 (neg.f64 (.f64 #s(literal 4 binary64) z)) y (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (fma.f64 (.f64 y #s(literal -4 binary64)) z (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (fma.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))) (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) x)
(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)) z x)
(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) (sqrt.f64 z)) (sqrt.f64 z) x)

Outputs
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 y #s(literal -4 binary64)))
(.f64 y (.f64 z #s(literal -4 binary64)))
(-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (.f64 #s(literal 4 binary64) (.f64 y z)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (fma.f64 #s(literal -4 binary64) (.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (fma.f64 #s(literal -4 binary64) (.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (fma.f64 #s(literal -4 binary64) (.f64 y (/.f64 z x)) #s(literal 1 binary64)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (fma.f64 #s(literal -4 binary64) (.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (fma.f64 #s(literal -4 binary64) (.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (fma.f64 #s(literal -4 binary64) (.f64 y (/.f64 z x)) #s(literal 1 binary64)))
x
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 y #s(literal -4 binary64)))
(.f64 y (.f64 z #s(literal -4 binary64)))
(.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))
(.f64 y (+.f64 (/.f64 x y) (.f64 z #s(literal -4 binary64))))
(.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))
(.f64 y (+.f64 (/.f64 x y) (.f64 z #s(literal -4 binary64))))
(.f64 y (-.f64 (/.f64 x y) (.f64 #s(literal 4 binary64) z)))
(.f64 y (+.f64 (/.f64 x y) (.f64 z #s(literal -4 binary64))))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 y #s(literal -4 binary64)))
(.f64 y (.f64 z #s(literal -4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))
(.f64 y (+.f64 (/.f64 x y) (.f64 z #s(literal -4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))
(.f64 y (+.f64 (/.f64 x y) (.f64 z #s(literal -4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -4 binary64) z))))
(.f64 y (+.f64 (/.f64 x y) (.f64 z #s(literal -4 binary64))))
x
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 y #s(literal -4 binary64)))
(.f64 y (.f64 z #s(literal -4 binary64)))
(.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))
(.f64 z (+.f64 (/.f64 x z) (.f64 y #s(literal -4 binary64))))
(.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))
(.f64 z (+.f64 (/.f64 x z) (.f64 y #s(literal -4 binary64))))
(.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))
(.f64 z (+.f64 (/.f64 x z) (.f64 y #s(literal -4 binary64))))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (.f64 y #s(literal -4 binary64)))
(.f64 y (.f64 z #s(literal -4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y))))
(.f64 z (+.f64 (/.f64 x z) (.f64 y #s(literal -4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y))))
(.f64 z (+.f64 (/.f64 x z) (.f64 y #s(literal -4 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -4 binary64) y))))
(.f64 z (+.f64 (/.f64 x z) (.f64 y #s(literal -4 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) y)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) y))) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) y)))
(pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) y)
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 4 binary64) y)
(pow.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 4 binary64) y)
(pow.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) y)
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(fabs.f64 (*.f64 #s(literal 4 binary64) y))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64)))))
(*.f64 #s(literal 4 binary64) y)
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 4 binary64) y)
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) y)))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal 4 binary64) y)
(exp.f64 (log.f64 (*.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal 4 binary64) y)
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) y)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 4 binary64) y)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 4 binary64) y)
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) y)
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal 4 binary64) z)))
(.f64 #s(literal 4 binary64) (.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 #s(literal 4 binary64) z))) (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 #s(literal 4 binary64) z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 #s(literal 4 binary64) z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 #s(literal 4 binary64) z)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (.f64 #s(literal 4 binary64) (.f64 y z))))
(pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64))
(.f64 #s(literal 4 binary64) (.f64 y z))
(pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 3 binary64))
(.f64 #s(literal 4 binary64) (.f64 y z))
(pow.f64 (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 4 binary64) (.f64 y z))
(pow.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))
(.f64 #s(literal 4 binary64) (.f64 y z))
(sqrt.f64 (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))
(.f64 #s(literal 4 binary64) (.f64 y z))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))))
(.f64 #s(literal 4 binary64) (.f64 y z))
(cbrt.f64 (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))
(.f64 #s(literal 4 binary64) (.f64 y z))
(expm1.f64 (log1p.f64 (.f64 y (.f64 #s(literal 4 binary64) z))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 4 binary64) (.f64 y z))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 #s(literal 4 binary64) z))))
(.f64 #s(literal 4 binary64) (.f64 y z))
(exp.f64 (log.f64 (.f64 y (.f64 #s(literal 4 binary64) z))))
(.f64 #s(literal 4 binary64) (.f64 y z))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64)))
(.f64 #s(literal 4 binary64) (.f64 y z))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 #s(literal 4 binary64) z)))) #s(literal 3 binary64)))
(.f64 #s(literal 4 binary64) (.f64 y z))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) #s(literal 1/3 binary64)))
(.f64 #s(literal 4 binary64) (.f64 y z))
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(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (.f64 #s(literal 4 binary64) z)) y (.f64 y (.f64 #s(literal 4 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y z) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (.f64 y #s(literal -4 binary64)) z (.f64 y (.f64 #s(literal 4 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y z) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y z) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (*.f64 #s(literal 4 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 #s(literal 4 binary64) z) x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y z) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (neg.f64 z) (*.f64 y #s(literal 4 binary64)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (neg.f64 (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (.f64 (cbrt.f64 (.f64 z (.f64 y #s(literal -4 binary64)))) (cbrt.f64 (.f64 z (.f64 y #s(literal -4 binary64))))) (cbrt.f64 (.f64 z (*.f64 y #s(literal -4 binary64)))) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (sqrt.f64 (.f64 z (.f64 y #s(literal -4 binary64)))) (sqrt.f64 (.f64 z (.f64 y #s(literal -4 binary64)))) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 #s(literal -1 binary64) (.f64 y (.f64 #s(literal 4 binary64) z)) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (fma.f64 (neg.f64 (.f64 #s(literal 4 binary64) z)) y (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (fma.f64 (.f64 y #s(literal -4 binary64)) z (.f64 y (*.f64 #s(literal 4 binary64) z))))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (fma.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64)) (.f64 y (.f64 #s(literal 4 binary64) z))))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))) (cbrt.f64 (.f64 y (.f64 #s(literal 4 binary64) z))) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)) z x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(fma.f64 (.f64 (.f64 y #s(literal -4 binary64)) (sqrt.f64 z)) (sqrt.f64 z) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)

eval31.0ms (1.2%)

Compiler: Compiled 5382 to 674 computations (87.5% saved)

prune36.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	252	2	254
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	252	3	255

Accuracy

100.0%

Counts

255 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
▶	48.3%	(.f64 z (.f64 y #s(literal -4 binary64)))
▶	53.2%	x

Compiler

Compiled 22 to 16 computations (27.3% saved)

localize92.0ms (3.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y #s(literal -4 binary64))
✓	cost-diff	0	(.f64 z (.f64 y #s(literal -4 binary64)))
✓	accuracy	100.0%	(.f64 z (.f64 y #s(literal -4 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal -4 binary64))

Rules

5×	`*-commutative`
3×	`associate-r`
3×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	16	42
2	23	42
3	25	42

Stop Event

1×

saturated

Calls

Call 1

Inputs
x
(.f64 z (.f64 y #s(literal -4 binary64)))
z
(*.f64 y #s(literal -4 binary64))
y
#s(literal -4 binary64)

Outputs
x
(.f64 z (.f64 y #s(literal -4 binary64)))
z
(*.f64 y #s(literal -4 binary64))
y
#s(literal -4 binary64)

Results

15.0ms

256×

valid

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 4.0ms (92.9% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (*.f64 y #s(literal -4 binary64))>
#<alt (.f64 z (.f64 y #s(literal -4 binary64)))>

Outputs
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(* z (* y -4))
0.0ms	y	@	0	(* y -4)
0.0ms	y	@	0	(* z (* y -4))
0.0ms	y	@	-inf	(* y -4)
0.0ms	y	@	inf	(* z (* y -4))

rewrite79.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

397×	`unpow-prod-down`
364×	`log1p-expm1-u`
364×	`expm1-log1p-u`
348×	`add-exp-log`
335×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	88	29
2	1013	29

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(*.f64 y #s(literal -4 binary64))
(.f64 z (.f64 y #s(literal -4 binary64)))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal -4 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal -8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y #s(literal -4 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y #s(literal -4 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y #s(literal -4 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y #s(literal -4 binary64))))) (sqrt.f64 (log.f64 (.f64 y #s(literal -4 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal -4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal -4 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal -4 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y #s(literal -4 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal -4 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y #s(literal -4 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal -4 binary64) z)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) y) #s(literal -8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 #s(literal -4 binary64) z))) #s(literal 1 binary64))
(pow.f64 (.f64 y (.f64 #s(literal -4 binary64) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal -4 binary64) z))) #s(literal 3 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 #s(literal -4 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (.f64 #s(literal -4 binary64) z))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))) (sqrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))))
(sqrt.f64 (.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))
(cbrt.f64 (pow.f64 (.f64 y (.f64 #s(literal -4 binary64) z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))
(exp.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 #s(literal -4 binary64) z)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 #s(literal -4 binary64) z)))) #s(literal 2 binary64)))

simplify105.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

635×	`prod-exp`
438×	`exp-sum`
402×	`associate-r`
343×	`associate-l`
267×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	1478
1	217	1478
2	497	1478
3	2416	1478
4	3716	1478
5	6824	1478

Stop Event

1×	node limit

Counts

78 → 59

Calls

Call 1

Inputs
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal -4 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal -8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y #s(literal -4 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y #s(literal -4 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y #s(literal -4 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y #s(literal -4 binary64))))) (sqrt.f64 (log.f64 (.f64 y #s(literal -4 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal -4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal -4 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal -4 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y #s(literal -4 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal -4 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y #s(literal -4 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal -4 binary64) z)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) y) #s(literal -8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 #s(literal -4 binary64) z))) #s(literal 1 binary64))
(pow.f64 (.f64 y (.f64 #s(literal -4 binary64) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal -4 binary64) z))) #s(literal 3 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 #s(literal -4 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (.f64 #s(literal -4 binary64) z))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))) (sqrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))))
(sqrt.f64 (.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))
(cbrt.f64 (pow.f64 (.f64 y (.f64 #s(literal -4 binary64) z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))
(exp.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 #s(literal -4 binary64) z)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 #s(literal -4 binary64) z)))) #s(literal 2 binary64)))

Outputs
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) y)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal -8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) y)
(pow.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) y)
(pow.f64 (cbrt.f64 (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal -4 binary64) y)
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -4 binary64) y)
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -64 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -4 binary64) y)
(pow.f64 (sqrt.f64 (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -4 binary64) y)
(pow.f64 (E.f64) (log.f64 (*.f64 y #s(literal -4 binary64))))
(*.f64 #s(literal -4 binary64) y)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y #s(literal -4 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y #s(literal -4 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal -4 binary64) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y #s(literal -4 binary64))))) (sqrt.f64 (log.f64 (.f64 y #s(literal -4 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal -4 binary64) y)))) (sqrt.f64 (log.f64 (.f64 #s(literal -4 binary64) y))))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(*.f64 #s(literal -4 binary64) y)
(log.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))
(*.f64 #s(literal -4 binary64) y)
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -64 binary64)))
(*.f64 #s(literal -4 binary64) y)
(expm1.f64 (log1p.f64 (*.f64 y #s(literal -4 binary64))))
(*.f64 #s(literal -4 binary64) y)
(log1p.f64 (expm1.f64 (*.f64 y #s(literal -4 binary64))))
(*.f64 #s(literal -4 binary64) y)
(exp.f64 (log.f64 (*.f64 y #s(literal -4 binary64))))
(*.f64 #s(literal -4 binary64) y)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y #s(literal -4 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal -4 binary64) y)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal -4 binary64)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -4 binary64) y)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y #s(literal -4 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) y)
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 #s(literal -4 binary64) z)))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) y) #s(literal -8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal -4 binary64) z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))))
(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 #s(literal -4 binary64) z)))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 #s(literal -4 binary64) z))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(pow.f64 (.f64 y (.f64 #s(literal -4 binary64) z)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(pow.f64 (cbrt.f64 (.f64 y (.f64 #s(literal -4 binary64) z))) #s(literal 3 binary64))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(pow.f64 (.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(pow.f64 (pow.f64 (.f64 y (.f64 #s(literal -4 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(pow.f64 (sqrt.f64 (.f64 y (.f64 #s(literal -4 binary64) z))) #s(literal 2 binary64))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(pow.f64 (E.f64) (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 #s(literal -4 binary64) y) z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 (.f64 #s(literal -4 binary64) y) z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z (.f64 #s(literal -4 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 z (.f64 #s(literal -4 binary64) y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal -4 binary64) (.f64 y z)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal -4 binary64) (.f64 y z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))) (sqrt.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 #s(literal -4 binary64) y) z)))) (sqrt.f64 (log.f64 (.f64 (.f64 #s(literal -4 binary64) y) z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z (.f64 #s(literal -4 binary64) y))))) (sqrt.f64 (log.f64 (.f64 z (.f64 #s(literal -4 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal -4 binary64) (.f64 y z))))) (sqrt.f64 (log.f64 (.f64 #s(literal -4 binary64) (.f64 y z)))))
(sqrt.f64 (.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64)))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(cbrt.f64 (pow.f64 (.f64 y (.f64 #s(literal -4 binary64) z)) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(expm1.f64 (log1p.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(log1p.f64 (expm1.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(exp.f64 (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z))))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 #s(literal -4 binary64) z)))) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (.f64 #s(literal -4 binary64) z)))) #s(literal 1/3 binary64)))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 #s(literal -4 binary64) z)))) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 #s(literal -4 binary64) (.f64 y z))

eval7.0ms (0.3%)

Compiler: Compiled 620 to 196 computations (68.4% saved)

prune10.0ms (0.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	59	3	62

Accuracy

100.0%

Counts

62 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
✓	48.3%	(.f64 z (.f64 y #s(literal -4 binary64)))
✓	53.2%	x

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes20.0ms (0.8%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(.f64 z (.f64 y #s(literal -4 binary64)))
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Outputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Calls

6 calls:

9.0ms	x
3.0ms	y
2.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
100.0%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
100.0%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes5.0ms (0.2%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(.f64 z (.f64 y #s(literal -4 binary64)))

Outputs
(.f64 z (.f64 y #s(literal -4 binary64)))
x
(.f64 z (.f64 y #s(literal -4 binary64)))

Calls

3 calls:

2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
73.6%	3	`x`
76.3%	3	`y`
74.1%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

2.0ms	y
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
53.2%	1	`x`
53.2%	1	`z`
53.2%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch22.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	5.781099221506024e-125	5.7287575120797384e-121
9.0ms	-1.1501786194705714e+118	-2.5664315091871502e+116

Results

13.0ms

240×

valid

Compiler

Compiled 226 to 177 computations (21.7% saved)

Precisions

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

ival-mult: 4.0ms (67.8% of total)

ival-sub: 1.0ms (16.9% of total)

const: 0.0ms (0% of total)

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

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative`
6×	`sub-neg`
6×	`+-commutative`
5×	`neg-sub0`
5×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	86
1	40	86
2	58	86
3	68	86
4	76	86
5	79	86

Stop Event

1×

saturated

Calls

Call 1

Inputs

(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))

(if (<=.f64 y #s(literal -649999999999999983866611786757304873304304182587233547452317706561492720647843930202804513052269762307375958287450112 binary64)) (*.f64 z (*.f64 y #s(literal -4 binary64))) (if (<=.f64 y #s(literal 3256237484844319/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) x (*.f64 z (*.f64 y #s(literal -4 binary64)))))

Outputs
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
(if (<=.f64 y #s(literal -649999999999999983866611786757304873304304182587233547452317706561492720647843930202804513052269762307375958287450112 binary64)) (.f64 z (.f64 y #s(literal -4 binary64))) (if (<=.f64 y #s(literal 3256237484844319/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) x (.f64 z (.f64 y #s(literal -4 binary64)))))
(if (or (<=.f64 y #s(literal -649999999999999983866611786757304873304304182587233547452317706561492720647843930202804513052269762307375958287450112 binary64)) (not (<=.f64 y #s(literal 3256237484844319/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)))) (.f64 z (.f64 y #s(literal -4 binary64))) x)
x

soundness179.0ms (7%)

Rules

722×	`times-frac`
481×	`distribute-lft-in`
411×	`cancel-sign-sub-inv`
406×	`distribute-lft-neg-in`
368×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	530	9536
1	1288	8862
2	3520	8266

Stop Event

1×	done
1×	node limit

Compiler

Compiled 49 to 28 computations (42.9% saved)

preprocess28.0ms (1.1%)

Remove: (sort y z)
Compiler: Compiled 132 to 90 computations (31.8% saved)

Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A

analyze0.0ms (0%)

sample1.1s (42.2%)

preprocess207.0ms (8.1%)

explain63.0ms (2.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize54.0ms (2.1%)

series9.0ms (0.4%)

rewrite243.0ms (9.5%)

simplify276.0ms (10.8%)

eval31.0ms (1.2%)

prune36.0ms (1.4%)

localize92.0ms (3.6%)

series3.0ms (0.1%)

rewrite79.0ms (3.1%)

simplify105.0ms (4.1%)

eval7.0ms (0.3%)

prune10.0ms (0.4%)

regimes20.0ms (0.8%)

regimes5.0ms (0.2%)

regimes5.0ms (0.2%)

bsearch22.0ms (0.9%)

simplify4.0ms (0.2%)

soundness179.0ms (7%)

preprocess28.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	70
1	23	70
2	53	66
3	111	66
4	164	66
5	225	66
6	319	66
7	396	66
8	519	66
9	731	66
10	817	66
11	829	66

Iter	Nodes	Cost
0	13	70
1	23	70
2	53	66
3	111	66
4	164	66
5	225	66
6	319	66
7	396	66
8	519	66
9	731	66
10	817	66
11	829	66

Iter	Nodes	Cost
0	13	70
1	23	70
2	53	66
3	111	66
4	164	66
5	225	66
6	319	66
7	396	66
8	519	66
9	731	66
10	817	66
11	829	66