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

analyze109.0ms (4.4%)

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: 71.0ms

ival-mult: 68.0ms (95.5% of total)

ival-div: 2.0ms (2.8% of total)

const: 0.0ms (0% of total)

sample875.0ms (35.5%)

Results

634.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 376.0ms

ival-mult: 296.0ms (78.7% of total)

ival-div: 67.0ms (17.8% of total)

const: 8.0ms (2.1% of total)

backward-pass: 4.0ms (1.1% of total)

Bogosity

preprocess117.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

784×	`fma-define`
409×	`times-frac`
134×	`fma-neg`
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)

explain48.0ms (1.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
23	-	3	(3.9132743582834363e-227 1.0841128984159342e-91 2.2848811796640947e-204)	`(/.f64 (*.f64 x y) z)`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`x`
0	-	0	-	`z`
0	-	0	-	`y`

Results

32.0ms

512×

256

valid

Compiler

Compiled 38 to 17 computations (55.3% saved)

Precisions

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

ival-div: 4.0ms (45.2% of total)

ival-mult: 4.0ms (45.2% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.9%	(/.f64 (*.f64 x y) z)
▶	94.1%	(*.f64 y (/.f64 x z))
▶	91.7%	(*.f64 x (/.f64 y z))

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize98.0ms (4%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	91.9%	(/.f64 (*.f64 x y) z)
✓	94.1%	(*.f64 y (/.f64 x z))
✓	91.7%	(*.f64 x (/.f64 y z))

Results

87.0ms

256×

256

valid

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

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

ival-div: 6.0ms (48.5% of total)

ival-mult: 6.0ms (48.5% of total)

const: 0.0ms (0% of total)

series11.0ms (0.4%)

Counts

3 → 72

Calls

Call 1

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

Calls

27 calls:

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

rewrite221.0ms (9%)

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	66
1	204	66
2	2340	66

Stop Event

1×	node limit

Counts

3 → 155

Calls

Call 1

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

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 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 (/.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)))

simplify118.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

551×	`associate-/r*`
549×	`cube-prod`
501×	`exp-prod`
487×	`fma-neg`
369×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	220	5451
1	476	5451
2	1463	5451
3	5567	5433

Stop Event

1×	node limit

Counts

227 → 97

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))
(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 (/.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 (/.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)))

Outputs
(/.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 #s(literal 1 binary64) (.f64 x (/.f64 y z)))
(*.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 x (/.f64 y z))
(.f64 (cbrt.f64 (pow.f64 (/.f64 z x) #s(literal -2 binary64))) (.f64 (cbrt.f64 (/.f64 x z)) y))
(.f64 (cbrt.f64 (pow.f64 (/.f64 z x) #s(literal -2 binary64))) (.f64 y (cbrt.f64 (/.f64 x z))))
(.f64 y (.f64 (cbrt.f64 (pow.f64 (/.f64 z x) #s(literal -2 binary64))) (cbrt.f64 (/.f64 x z))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) z))
(*.f64 x (/.f64 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 x (/.f64 y z))
(.f64 (cbrt.f64 (.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)))
(*.f64 x (/.f64 y z))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 x (/.f64 y z))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 y z)))
(*.f64 x (/.f64 y z))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (/.f64 x z)))
(*.f64 x (/.f64 y z))
(.f64 (sqrt.f64 (/.f64 y z)) (.f64 (sqrt.f64 (/.f64 y z)) x))
(*.f64 x (/.f64 y z))
(.f64 (sqrt.f64 (/.f64 x z)) (.f64 (sqrt.f64 (/.f64 x z)) y))
(*.f64 x (/.f64 y z))
(.f64 (sqrt.f64 (.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) z))
(*.f64 x (/.f64 y z))
(.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 (.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (/.f64 y z))
(.f64 (sqrt.f64 (.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 x (/.f64 y z))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 y z)))
(*.f64 x (/.f64 y z))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 x z)))
(*.f64 x (/.f64 y z))
(.f64 (.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 x (/.f64 y z))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 x (/.f64 y z))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (.f64 x y) (cbrt.f64 z)))
(*.f64 x (/.f64 y z))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (.f64 x y) (sqrt.f64 z)))
(*.f64 x (/.f64 y 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 x (/.f64 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 (cbrt.f64 (.f64 x (/.f64 y z))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(.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 x (/.f64 y z))
(.f64 (/.f64 (sqrt.f64 (.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x y)) z))
(*.f64 x (/.f64 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 x (/.f64 y z))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 x (/.f64 y z))
(.f64 (.f64 x (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))
(*.f64 x (/.f64 y z))
(.f64 (.f64 y (cbrt.f64 (pow.f64 (/.f64 z x) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 x z)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 z x) #s(literal -2 binary64))) (.f64 y (cbrt.f64 (/.f64 x z))))
(.f64 y (.f64 (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 x (/.f64 y z))
(.f64 (.f64 (/.f64 y z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 x (/.f64 y z))
(.f64 (.f64 (/.f64 y z) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (/.f64 y z))
(.f64 (.f64 (/.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 x (/.f64 y z))
(.f64 (.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(*.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)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x (/.f64 y z)))
(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))

eval15.0ms (0.6%)

Compiler: Compiled 991 to 344 computations (65.3% saved)

prune17.0ms (0.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	95	5	100

Accuracy

100.0%

Counts

100 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.9%	(/.f64 (*.f64 x y) z)
▶	92.3%	(/.f64 x (/.f64 z y))
▶	92.9%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) y))
✓	94.1%	(*.f64 y (/.f64 x z))
✓	91.7%	(*.f64 x (/.f64 y z))

Compiler

Compiled 42 to 27 computations (35.7% saved)

localize39.0ms (1.6%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	92.3%	(/.f64 x (/.f64 z y))
✓	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) y))
✓	93.5%	(/.f64 (/.f64 z x) y)

Results

30.0ms

256×

256

valid

Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 10.0ms (97% of total)

const: 0.0ms (0% of total)

series7.0ms (0.3%)

Counts

3 → 108

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 z x) y)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) y))>
#<alt (/.f64 x (/.f64 z y))>

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

27 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(/ (/ z x) y)
1.0ms	z	@	-inf	(/ (/ z x) y)
0.0ms	y	@	0	(/ (/ z x) y)
0.0ms	x	@	0	(/ (/ z x) y)
0.0ms	x	@	-inf	(/ (/ z x) y)

rewrite123.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`log1p-expm1-u`
964×	`expm1-log1p-u`
560×	`log-prod`
150×	`expm1-undefine`
150×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	78
1	201	66
2	3008	66

Stop Event

1×	node limit

Counts

3 → 215

Calls

Call 1

Inputs
(/.f64 (/.f64 z x) y)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) y))
(/.f64 x (/.f64 z y))

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

simplify170.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

862×	`exp-prod`
742×	`fma-neg`
572×	`fma-define`
386×	`*-commutative`
331×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	351	7591
1	802	7591
2	2397	7591
3	6866	7591

Stop Event

1×	node limit

Counts

323 → 150

Calls

Call 1

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

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

eval25.0ms (1%)

Compiler: Compiled 1788 to 724 computations (59.5% saved)

prune24.0ms (1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	150	5	155

Accuracy

100.0%

Counts

155 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.9%	(/.f64 (*.f64 x y) z)
✓	92.3%	(/.f64 x (/.f64 z y))
✓	92.9%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) y))
✓	94.1%	(*.f64 y (/.f64 x z))
✓	91.7%	(*.f64 x (/.f64 y z))

Compiler

Compiled 72 to 42 computations (41.7% saved)

regimes23.0ms (0.9%)

Counts

5 → 2

Calls

Call 1

Inputs
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) y))

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

Calls

5 calls:

7.0ms	(*.f64 x y)
5.0ms	x
5.0ms	y
3.0ms	z
3.0ms	(/.f64 (*.f64 x y) z)

Results

Accuracy	Segments	Branch
97.5%	3	`x`
96.5%	2	`y`
99.8%	2	`z`
99.8%	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

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (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	z
0.0ms	y
0.0ms	x

Results

Accuracy	Segments	Branch
91.7%	1	`x`
91.7%	1	`y`
91.7%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2563.330792849249	11335.012166261771

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch8.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.1549034642545549e-18	5.443049987906506e-18

Results

4.0ms

96×

valid

Compiler

Compiled 122 to 82 computations (32.8% saved)

Precisions

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

ival-div: 1.0ms (57.7% of total)

ival-mult: 1.0ms (57.7% of total)

const: 0.0ms (0% of total)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	152
1	29	152

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 5000 binary64)) (/.f64 x (/.f64 z y)) (*.f64 y (/.f64 x z)))

(if (<=.f64 z #s(literal 4673067172681345/2596148429267413814265248164610048 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 5000 binary64)) (/.f64 x (/.f64 z y)) (*.f64 y (/.f64 x z)))

(if (<=.f64 z #s(literal 4673067172681345/2596148429267413814265248164610048 binary64)) (*.f64 y (/.f64 x z)) (*.f64 x (/.f64 y z)))

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

soundness345.0ms (14%)

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	66
1	204	66
2	2340	66

Stop Event

1×	done
1×	node limit
1×	saturated

Compiler

Compiled 91 to 43 computations (52.7% saved)

preprocess61.0ms (2.5%)

Compiler: Compiled 484 to 266 computations (45% saved)

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

analyze109.0ms (4.4%)

sample875.0ms (35.5%)

preprocess117.0ms (4.7%)

explain48.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize98.0ms (4%)

series11.0ms (0.4%)

rewrite221.0ms (9%)

simplify118.0ms (4.8%)

eval15.0ms (0.6%)

prune17.0ms (0.7%)

localize39.0ms (1.6%)

series7.0ms (0.3%)

rewrite123.0ms (5%)

simplify170.0ms (6.9%)

eval25.0ms (1%)

prune24.0ms (1%)

regimes23.0ms (0.9%)

regimes2.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch8.0ms (0.3%)

simplify3.0ms (0.1%)

soundness345.0ms (14%)

preprocess61.0ms (2.5%)

end0.0ms (0%)

Profiling