Metrics for Diagrams.Solve.Tridiagonal:solveCyclicTriDiagonal from diagrams-solve-0.1, A

analyze39.0ms (1.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample895.0ms (28.2%)

Results

654.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 329.0ms

ival-mult: 211.0ms (64% of total)

ival-div: 109.0ms (33.1% of total)

const: 7.0ms (2.1% of total)

backward-pass: 2.0ms (0.6% of total)

Bogosity

preprocess125.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

784×	`fma-define`
409×	`times-frac`
134×	`fmm-def`
95×	`distribute-lft-in`
92×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	254
1	67	254
2	152	254
3	496	254
4	1288	254
5	2331	254
6	2890	254
7	2908	254
8	2964	254
9	3020	254

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 (neg.f64 x) y) z)
(/.f64 (*.f64 x (neg.f64 y)) z)
(/.f64 (*.f64 x y) (neg.f64 z))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) z))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) z))
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 z)))
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 z y) x)
(/.f64 (*.f64 x z) y)

Outputs
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 (neg.f64 x) y) z)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 (neg.f64 y) (/.f64 x z))
(/.f64 (*.f64 x (neg.f64 y)) z)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 (neg.f64 y) (/.f64 x z))
(/.f64 (*.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 x (/.f64 y (neg.f64 z)))
(*.f64 (neg.f64 y) (/.f64 x z))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) z))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) z))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 z)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 z y) x)
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))

Symmetry

(negabs x)

(negabs y)

(negabs z)

(sort x y)

explain59.0ms (1.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
21	-	2	(7.973269834904745e-239 1.7473223255066845e-72 3.760817714874296e-240)	`(/.f64 (*.f64 x y) z)`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`x`
0	-	0	-	`z`
0	-	0	-	`y`

Results

31.0ms

512×

valid

Compiler

Compiled 38 to 17 computations (55.3% saved)

Precisions

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

ival-mult: 5.0ms (53.9% of total)

ival-div: 4.0ms (43.1% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 13 to 7 computations (46.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.9%	(/.f64 (*.f64 x y) z)
▶	90.8%	(*.f64 y (/.f64 x z))
▶	90.9%	(*.f64 x (/.f64 y z))

Compiler

Compiled 24 to 15 computations (37.5% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(/.f64 (*.f64 x y) z)
✓	cost-diff	(/.f64 x z)
✓	cost-diff	(*.f64 y (/.f64 x z))
✓	cost-diff	(/.f64 y z)
✓	cost-diff	(*.f64 x (/.f64 y z))

Rules

3×	`*-commutative`
2×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	141
1	19	141

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 x (/.f64 y z))
x
(/.f64 y z)
y
z
(*.f64 y (/.f64 x z))
y
(/.f64 x z)
x
z
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z

Outputs
(*.f64 x (/.f64 y z))
x
(/.f64 y z)
y
z
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
y
(/.f64 x z)
x
z
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 x y)
x
y
z

localize45.0ms (1.4%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	92.9%	(/.f64 (*.f64 x y) z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	90.8%	(*.f64 y (/.f64 x z))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	90.9%	(*.f64 x (/.f64 y z))

Results

35.0ms

256×

valid

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

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

ival-div: 10.0ms (53.5% of total)

ival-mult: 8.0ms (42.8% of total)

const: 0.0ms (0% of total)

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

series22.0ms (0.7%)

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (*.f64 x (/.f64 y z))>
#<alt (/.f64 y z)>
#<alt (*.f64 y (/.f64 x z))>
#<alt (/.f64 x z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 x y)>

Outputs
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>

Calls

45 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(* x y)
1.0ms	y	@	0	(/ y z)
1.0ms	y	@	0	(* x (/ y z))
1.0ms	x	@	0	(* x (/ y z))
1.0ms	x	@	inf	(* x (/ y z))

rewrite267.0ms (8.4%)

Algorithm

1×	batch-egg-rewrite

Rules

853×	`log1p-expm1-u`
853×	`expm1-log1p-u`
527×	`log-prod`
226×	`pow-unpow`
142×	`expm1-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	105
1	204	105
2	2340	105

Stop Event

1×	node limit

Counts

6 → 266

Calls

Call 1

Inputs
(*.f64 x (/.f64 y z))
(/.f64 y z)
(*.f64 y (/.f64 x z))
(/.f64 x z)
(/.f64 (*.f64 x y) z)
(*.f64 x y)

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

simplify117.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

372×	`distribute-lft-neg-out`
365×	`exp-prod`
346×	`cube-prod`
310×	`distribute-rgt-neg-out`
236×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	427	7518
1	855	7470
2	3082	7470

Stop Event

1×	node limit

Counts

338 → 223

Calls

Call 1

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

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

eval28.0ms (0.9%)

Compiler: Compiled 2244 to 583 computations (74% saved)

prune31.0ms (1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	220	3	223
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	220	6	226

Accuracy

100.0%

Counts

226 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.6%	(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64))
✓	92.9%	(/.f64 (*.f64 x y) z)
▶	90.7%	(/.f64 y (/.f64 z x))
▶	91.7%	(/.f64 x (/.f64 z y))
✓	90.8%	(*.f64 y (/.f64 x z))
✓	90.9%	(*.f64 x (/.f64 y z))

Compiler

Compiled 51 to 33 computations (35.3% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(/.f64 y z)
	cost-diff	0	(*.f64 x (/.f64 y z))
✓	cost-diff	0	(sqrt.f64 (*.f64 x (/.f64 y z)))
✓	cost-diff	12864	(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(/.f64 y (/.f64 z x))
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(/.f64 x (/.f64 z y))

Rules

3×	`*-commutative`
2×	`associate-*l/`
2×	`associate-/r/`
1×	`rem-square-sqrt`
1×	`unpow2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	190
1	25	190
2	28	190
3	29	190

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (/.f64 z y))
x
(/.f64 z y)
z
y
(/.f64 y (/.f64 z x))
y
(/.f64 z x)
z
x
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (/.f64 y z)))
(*.f64 x (/.f64 y z))
x
(/.f64 y z)
y
z
#s(literal 2 binary64)

Outputs
(/.f64 x (/.f64 z y))
(*.f64 (/.f64 x z) y)
(*.f64 x (/.f64 y z))
x
(/.f64 z y)
z
y
(/.f64 y (/.f64 z x))
(*.f64 (/.f64 x z) y)
(*.f64 x (/.f64 y z))
y
(/.f64 z x)
z
x
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64))
(*.f64 (/.f64 x z) y)
(*.f64 x (/.f64 y z))
(sqrt.f64 (*.f64 x (/.f64 y z)))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) y)
x
(/.f64 y z)
y
z
#s(literal 2 binary64)

localize119.0ms (3.7%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(/.f64 y z)
✓	accuracy	99.4%	(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64))
	accuracy	90.9%	(*.f64 x (/.f64 y z))
✓	accuracy	76.8%	(sqrt.f64 (*.f64 x (/.f64 y z)))
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	90.7%	(/.f64 y (/.f64 z x))
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	91.7%	(/.f64 x (/.f64 z y))

Results

106.0ms

256×

valid

Compiler

Compiled 52 to 13 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-pow: 64.0ms (82.6% of total)

ival-div: 9.0ms (11.6% of total)

ival-mult: 2.0ms (2.6% of total)

ival-sqrt: 2.0ms (2.6% of total)

const: 0.0ms (0% of total)

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

series16.0ms (0.5%)

Counts

6 → 144

Calls

Call 1

Inputs
#<alt (/.f64 x (/.f64 z y))>
#<alt (/.f64 z y)>
#<alt (/.f64 y (/.f64 z x))>
#<alt (/.f64 z x)>
#<alt (pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64))>
#<alt (sqrt.f64 (*.f64 x (/.f64 y z)))>

Outputs
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (sqrt.f64 (/.f64 (*.f64 x y) z))>
#<alt (.f64 (sqrt.f64 (/.f64 (.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (/.f64 (.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (/.f64 (.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (/.f64 (.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>

Calls

48 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(pow (sqrt (* x (/ y z))) 2)
2.0ms	z	@	0	(/ z x)
1.0ms	z	@	-inf	(pow (sqrt (* x (/ y z))) 2)
1.0ms	x	@	-inf	(pow (sqrt (* x (/ y z))) 2)
0.0ms	z	@	-inf	(sqrt (* x (/ y z)))

rewrite148.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1034×	`log1p-expm1-u`
1034×	`expm1-log1p-u`
608×	`log-prod`
160×	`expm1-undefine`
160×	`log1p-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	118
1	258	118
2	3008	118

Stop Event

1×	node limit

Counts

6 → 398

Calls

Call 1

Inputs
(/.f64 x (/.f64 z y))
(/.f64 z y)
(/.f64 y (/.f64 z x))
(/.f64 z x)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (/.f64 y z)))

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

simplify184.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

415×	`cube-prod`
387×	`distribute-lft-neg-out`
359×	`exp-prod`
335×	`distribute-rgt-neg-out`
334×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	497	13815
1	998	13557
2	3460	13557

Stop Event

1×	node limit

Counts

542 → 270

Calls

Call 1

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

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

eval79.0ms (2.5%)

Compiler: Compiled 4181 to 1098 computations (73.7% saved)

prune65.0ms (2.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	368	0	368
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	368	6	374

Accuracy

100.0%

Counts

374 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.6%	(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64))
✓	92.9%	(/.f64 (*.f64 x y) z)
✓	90.7%	(/.f64 y (/.f64 z x))
✓	91.7%	(/.f64 x (/.f64 z y))
✓	90.8%	(*.f64 y (/.f64 x z))
✓	90.9%	(*.f64 x (/.f64 y z))

Compiler

Compiled 87 to 49 computations (43.7% saved)

regimes17.0ms (0.5%)

Counts

6 → 2

Calls

Call 1

Inputs
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64))

Outputs
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))

Calls

5 calls:

6.0ms	y
3.0ms	x
2.0ms	(*.f64 x y)
2.0ms	z
2.0ms	(/.f64 (*.f64 x y) z)

Results

Accuracy	Segments	Branch
97.2%	2	`x`
95.4%	2	`y`
99.7%	2	`z`
99.7%	2	`(/.f64 (*.f64 x y) z)`
99.8%	3	`(*.f64 x y)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes2.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

Inputs
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 x (/.f64 z y))

Outputs
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x (/.f64 y z))

Outputs
(*.f64 x (/.f64 y z))

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
90.9%	1	`y`
90.9%	1	`x`
90.9%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2766785629534365e-47	2.0017815028323872e-46

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch11.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.8739308606624357e-69	4.931848847856351e-66

Results

6.0ms

128×

valid

Compiler

Compiled 158 to 106 computations (32.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (44.8% of total)

ival-mult: 1.0ms (44.8% of total)

const: 0.0ms (0% of total)

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

simplify356.0ms (11.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	152
1	31	152

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 4113761393303015/205688069665150755269371147819668813122841983204197482918576128 binary64)) (/.f64 x (/.f64 z y)) (/.f64 y (/.f64 z x)))

(if (<=.f64 z #s(literal 4173702698141215/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (*.f64 y (/.f64 x z)) (*.f64 x (/.f64 y z)))

(*.f64 x (/.f64 y z))

Outputs

(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 4113761393303015/205688069665150755269371147819668813122841983204197482918576128 binary64)) (/.f64 x (/.f64 z y)) (/.f64 y (/.f64 z x)))

(if (<=.f64 z #s(literal 4173702698141215/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (*.f64 y (/.f64 x z)) (*.f64 x (/.f64 y z)))

(*.f64 x (/.f64 y z))

soundness468.0ms (14.7%)

Rules

853×	`log1p-expm1-u`
853×	`expm1-log1p-u`
784×	`fma-define`
527×	`log-prod`
409×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	254
1	67	254
2	152	254
3	496	254
4	1288	254
5	2331	254
6	2890	254
7	2908	254
8	2964	254
9	3020	254
0	15	105
1	204	105
2	2340	105

Stop Event

1×	done
1×	node limit
1×	saturated

Compiler

Compiled 126 to 61 computations (51.6% saved)

preprocess62.0ms (2%)

Compiler: Compiled 484 to 270 computations (44.2% saved)

Diagrams.Solve.Tridiagonal:solveCyclicTriDiagonal from diagrams-solve-0.1, A

analyze39.0ms (1.2%)

sample895.0ms (28.2%)

preprocess125.0ms (3.9%)

explain59.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.3%)

localize45.0ms (1.4%)

series22.0ms (0.7%)

rewrite267.0ms (8.4%)

simplify117.0ms (3.7%)

eval28.0ms (0.9%)

prune31.0ms (1%)

simplify8.0ms (0.3%)

localize119.0ms (3.7%)

series16.0ms (0.5%)

rewrite148.0ms (4.6%)

simplify184.0ms (5.8%)

eval79.0ms (2.5%)

prune65.0ms (2.1%)

regimes17.0ms (0.5%)

regimes2.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch11.0ms (0.3%)

simplify356.0ms (11.2%)

soundness468.0ms (14.7%)

preprocess62.0ms (2%)

end0.0ms (0%)

Profiling