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

analyze40.0ms (1.3%)

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: 11.0ms

Operation ival-mult, time spent: 8.0ms, 73.0% of total-time

Operation ival-div, time spent: 2.0ms, 18.0% of total-time

Operation const, time spent: 1.0ms, 9.0% of total-time

sample1.0s (32%)

Results

833.0ms	6842×	256	valid
140.0ms	1413×	256	infinite
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 220.0ms

Operation ival-div, time spent: 125.0ms, 57.0% of total-time

Operation ival-mult, time spent: 85.0ms, 39.0% of total-time

Operation const, time spent: 10.0ms, 5.0% of total-time

Bogosity

preprocess179.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

1568×	`fma-define`
818×	`times-frac`
268×	`fma-neg`
190×	`distribute-lft-in`
184×	`associate-*r/`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
18	-	1	(1.9851580728365184e-242 2.9805092545040583e-73 5.007587066503018e-273)	`(/.f64 (*.f64 x y) z)`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`x`
0	-	0	-	`z`
0	-	0	-	`y`

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)

Compiler

Compiled 38 to 17 computations (55.3% saved)

Precisions

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

Operation ival-div, time spent: 4.0ms, 43.0% of total-time

Operation ival-mult, time spent: 4.0ms, 43.0% of total-time

Operation const, time spent: 1.0ms, 11.0% of total-time

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
▶	93.4%	(/.f64 (*.f64 x y) z)
▶	91.9%	(*.f64 y (/.f64 x z))
▶	93.2%	(*.f64 x (/.f64 y z))

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize52.0ms (1.7%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	93.4%	(/.f64 (*.f64 x y) z)
✓	91.9%	(*.f64 y (/.f64 x z))
✓	93.2%	(*.f64 x (/.f64 y z))

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

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

Operation ival-div, time spent: 7.0ms, 52.0% of total-time

Operation ival-mult, time spent: 6.0ms, 44.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

series12.0ms (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
3.0ms	z	@	0	(* x (/ y z))
1.0ms	y	@	0	(* x (/ y z))
1.0ms	x	@	0	(* x (/ y z))
1.0ms	x	@	0	(/ (* x y) z)
1.0ms	x	@	inf	(* x (/ y z))

rewrite216.0ms (6.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`log-prod`
853×	`log1p-expm1-u`
853×	`expm1-log1p-u`
452×	`pow-unpow`
284×	`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)))

simplify115.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1102×	`associate-/r*`
1098×	`cube-prod`
1002×	`exp-prod`
974×	`fma-neg`
738×	`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 (.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 x (/.f64 y z))
(.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))

eval72.0ms (2.3%)

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

prune15.0ms (0.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	94	6	100

Accuracy

100.0%

Counts

100 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.4%	(/.f64 (*.f64 x y) z)
▶	92.0%	(/.f64 y (/.f64 z x))
▶	94.8%	(/.f64 x (/.f64 z y))
▶	93.1%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (.f64 x y) (sqrt.f64 z)))
✓	91.9%	(*.f64 y (/.f64 x z))
✓	93.2%	(*.f64 x (/.f64 y z))

Compiler

Compiled 54 to 34 computations (37% saved)

localize69.0ms (2.2%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	92.0%	(/.f64 y (/.f64 z x))
✓	94.8%	(/.f64 x (/.f64 z y))
✓	99.6%	(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
✓	97.8%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (.f64 x y) (sqrt.f64 z)))
✓	95.5%	(/.f64 (*.f64 x y) (sqrt.f64 z))

Compiler

Compiled 56 to 17 computations (69.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

Operation ival-div, time spent: 14.0ms, 67.0% of total-time

Operation ival-mult, time spent: 4.0ms, 19.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 10.0% of total-time

Operation const, time spent: 1.0ms, 5.0% of total-time

series16.0ms (0.5%)

Counts

5 → 156

Calls

Call 1

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

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

39 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(/ (* x y) (sqrt z))
2.0ms	x	@	inf	(/ (* x y) (sqrt z))
1.0ms	x	@	0	(/ (* x y) (sqrt z))
1.0ms	z	@	-inf	(* (/ 1 (sqrt z)) (/ (* x y) (sqrt z)))
1.0ms	z	@	0	(/ (* x y) (sqrt z))

rewrite161.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`log1p-expm1-u`
888×	`expm1-log1p-u`
412×	`log1p-undefine`
282×	`times-frac`
258×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	106
1	290	102
2	4356	102

Stop Event

1×	node limit

Counts

5 → 379

Calls

Call 1

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

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

simplify201.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

864×	`cube-prod`
768×	`div-sub`
754×	`exp-prod`
740×	`associate-r`
712×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	514	14903
1	1216	14903
2	4511	14897

Stop Event

1×	node limit

Counts

535 → 284

Calls

Call 1

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

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

eval61.0ms (1.9%)

Compiler: Compiled 3718 to 1447 computations (61.1% saved)

prune44.0ms (1.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	283	1	284
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	284	6	290

Accuracy

100.0%

Counts

290 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.4%	(/.f64 (*.f64 x y) z)
✓	92.0%	(/.f64 y (/.f64 z x))
✓	94.8%	(/.f64 x (/.f64 z y))
▶	93.3%	(.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (.f64 x y) (sqrt.f64 z)))
✓	91.9%	(*.f64 y (/.f64 x z))
✓	93.2%	(*.f64 x (/.f64 y z))

Compiler

Compiled 53 to 34 computations (35.8% saved)

localize71.0ms (2.3%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	97.8%	(.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (.f64 x y) (sqrt.f64 z)))
	95.5%	(/.f64 (*.f64 x y) (sqrt.f64 z))

Compiler

Compiled 32 to 13 computations (59.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

Operation ival-pow, time spent: 25.0ms, 67.0% of total-time

Operation ival-mult, time spent: 5.0ms, 13.0% of total-time

Operation ival-sqrt, time spent: 5.0ms, 13.0% of total-time

Operation ival-div, time spent: 2.0ms, 5.0% of total-time

Operation const, time spent: 1.0ms, 3.0% of total-time

series2.0ms (0.1%)

Counts

1 → 36

Calls

Call 1

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

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(* (pow z -1/2) (/ (* x y) (sqrt z)))
0.0ms	z	@	-inf	(* (pow z -1/2) (/ (* x y) (sqrt z)))
0.0ms	z	@	inf	(* (pow z -1/2) (/ (* x y) (sqrt z)))
0.0ms	x	@	-inf	(* (pow z -1/2) (/ (* x y) (sqrt z)))
0.0ms	x	@	inf	(* (pow z -1/2) (/ (* x y) (sqrt z)))

rewrite90.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1006×	`log-prod`
818×	`log1p-expm1-u`
818×	`expm1-log1p-u`
468×	`pow-unpow`
332×	`pow-to-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	182	28
2	2337	28

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (.f64 x y) (sqrt.f64 z)))

Outputs
(+.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (pow.f64 z #s(literal -1 binary64)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (pow.f64 z #s(literal -1 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (pow.f64 z #s(literal -1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (pow.f64 z #s(literal -1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (pow.f64 z #s(literal -1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 z) (*.f64 x y)))
(/.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 x (/.f64 y (sqrt.f64 z)))))
(/.f64 (neg.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))) (neg.f64 (sqrt.f64 z)))
(/.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 x (neg.f64 y))) (neg.f64 (sqrt.f64 z)))
(/.f64 (.f64 (.f64 x (neg.f64 y)) (pow.f64 z #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (/.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) (cbrt.f64 z)) (pow.f64 z #s(literal 1/6 binary64)))
(/.f64 (/.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(pow.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 z) (*.f64 x (/.f64 y (sqrt.f64 z)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (pow.f64 z #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 z #s(literal -3/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (.f64 x y)) #s(literal -3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 z) (.f64 x y)) #s(literal -3 binary64)) (pow.f64 z #s(literal -3/2 binary64))))
(expm1.f64 (log1p.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64)))))
(exp.f64 (log.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x y) (pow.f64 z #s(literal -1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 x y) (pow.f64 z #s(literal -1 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (*.f64 x y) (pow.f64 z #s(literal -1 binary64))))) #s(literal 2 binary64)))

simplify94.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1598×	`fma-define`
806×	`associate-/r*`
698×	`fma-neg`
696×	`distribute-lft-in`
572×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	1765
1	205	1765
2	608	1741
3	2576	1741
4	7588	1741

Stop Event

1×	node limit

Counts

67 → 49

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 #s(literal -1 binary64) (/.f64 (.f64 x y) z))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z))
(.f64 #s(literal -1 binary64) (/.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 (.f64 x y) (pow.f64 z #s(literal -1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (pow.f64 z #s(literal -1 binary64)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (pow.f64 z #s(literal -1 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (pow.f64 z #s(literal -1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (pow.f64 z #s(literal -1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (pow.f64 z #s(literal -1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 z) (*.f64 x y)))
(/.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 x (/.f64 y (sqrt.f64 z)))))
(/.f64 (neg.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))) (neg.f64 (sqrt.f64 z)))
(/.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 x (neg.f64 y))) (neg.f64 (sqrt.f64 z)))
(/.f64 (.f64 (.f64 x (neg.f64 y)) (pow.f64 z #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (/.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) (cbrt.f64 z)) (pow.f64 z #s(literal 1/6 binary64)))
(/.f64 (/.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(pow.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 z) (*.f64 x (/.f64 y (sqrt.f64 z)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (pow.f64 z #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 z #s(literal -3/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (.f64 x y)) #s(literal -3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 z) (.f64 x y)) #s(literal -3 binary64)) (pow.f64 z #s(literal -3/2 binary64))))
(expm1.f64 (log1p.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64)))))
(exp.f64 (log.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x y) (pow.f64 z #s(literal -1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 x y) (pow.f64 z #s(literal -1 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (*.f64 x y) (pow.f64 z #s(literal -1 binary64))))) #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 #s(literal -1 binary64) (/.f64 (.f64 x y) z))
(neg.f64 (*.f64 x (/.f64 y z)))
(*.f64 x (neg.f64 (/.f64 y z)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z))
(neg.f64 (*.f64 x (/.f64 y z)))
(*.f64 x (neg.f64 (/.f64 y z)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z))
(neg.f64 (*.f64 x (/.f64 y z)))
(*.f64 x (neg.f64 (/.f64 y z)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z))
(neg.f64 (*.f64 x (/.f64 y z)))
(*.f64 x (neg.f64 (/.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 #s(literal 0 binary64) (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64))))
(*.f64 x (/.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (pow.f64 z #s(literal -1 binary64)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (pow.f64 z #s(literal -1 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (pow.f64 z #s(literal -1 binary64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (/.f64 #s(literal 1 binary64) z))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (/.f64 #s(literal 1 binary64) z))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (/.f64 #s(literal 1 binary64) 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 (pow.f64 (exp.f64 x) y) (pow.f64 z #s(literal -1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (pow.f64 z #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (/.f64 #s(literal 1 binary64) z)))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (/.f64 #s(literal 1 binary64) z)))) #s(literal 2 binary64))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64))))) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 z) (*.f64 x y)))
(.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 z)) (.f64 x y))
(.f64 (.f64 x y) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 z)))
(.f64 x (/.f64 (.f64 y (pow.f64 z #s(literal -1/2 binary64))) (sqrt.f64 z)))
(*.f64 x (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 z) y)))
(/.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) (sqrt.f64 z))
(*.f64 x (/.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 x (/.f64 y (sqrt.f64 z)))))
(*.f64 x (/.f64 y z))
(/.f64 (neg.f64 (*.f64 x (/.f64 y (sqrt.f64 z)))) (neg.f64 (sqrt.f64 z)))
(*.f64 x (/.f64 y z))
(/.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 x (neg.f64 y))) (neg.f64 (sqrt.f64 z)))
(.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 z)) (.f64 x y))
(.f64 (.f64 x y) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 z)))
(.f64 x (/.f64 (.f64 y (pow.f64 z #s(literal -1/2 binary64))) (sqrt.f64 z)))
(*.f64 x (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 z) y)))
(/.f64 (.f64 (.f64 x (neg.f64 y)) (pow.f64 z #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 z)))
(.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 z)) (.f64 x y))
(.f64 (.f64 x y) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 z)))
(.f64 x (/.f64 (.f64 y (pow.f64 z #s(literal -1/2 binary64))) (sqrt.f64 z)))
(*.f64 x (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 z) y)))
(/.f64 (/.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 x (/.f64 y z))
(/.f64 (/.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) (cbrt.f64 z)) (pow.f64 z #s(literal 1/6 binary64)))
(/.f64 (.f64 x (/.f64 y (sqrt.f64 z))) (.f64 (pow.f64 z #s(literal 1/6 binary64)) (cbrt.f64 z)))
(.f64 x (/.f64 (/.f64 y (sqrt.f64 z)) (.f64 (cbrt.f64 z) (pow.f64 z #s(literal 1/6 binary64)))))
(.f64 x (/.f64 y (.f64 (sqrt.f64 z) (*.f64 (cbrt.f64 z) (pow.f64 z #s(literal 1/6 binary64))))))
(/.f64 (/.f64 (*.f64 x (/.f64 y (sqrt.f64 z))) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 x (/.f64 y z))
(pow.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(pow.f64 (cbrt.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64)))) #s(literal 3 binary64))
(*.f64 x (/.f64 y z))
(pow.f64 (pow.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (/.f64 y z))
(pow.f64 (sqrt.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64)))) #s(literal 2 binary64))
(*.f64 x (/.f64 y z))
(pow.f64 (/.f64 (sqrt.f64 z) (*.f64 x (/.f64 y (sqrt.f64 z)))) #s(literal -1 binary64))
(*.f64 x (/.f64 y z))
(sqrt.f64 (pow.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 x (/.f64 y z))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (pow.f64 z #s(literal -1 binary64))))
(*.f64 x (/.f64 y z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64))))))
(*.f64 x (/.f64 y z))
(cbrt.f64 (pow.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)))
(*.f64 x (/.f64 y z))
(cbrt.f64 (.f64 (pow.f64 z #s(literal -3/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (.f64 x y)) #s(literal -3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal -3/2 binary64)) (pow.f64 (/.f64 (/.f64 (sqrt.f64 z) y) x) #s(literal -3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 z) (.f64 x y)) #s(literal -3 binary64)) (pow.f64 z #s(literal -3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 z #s(literal -3/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (.f64 x y)) #s(literal -3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal -3/2 binary64)) (pow.f64 (/.f64 (/.f64 (sqrt.f64 z) y) x) #s(literal -3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64)))))
(*.f64 x (/.f64 y z))
(log1p.f64 (expm1.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64)))))
(*.f64 x (/.f64 y z))
(exp.f64 (log.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64)))))
(*.f64 x (/.f64 y z))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x y) (pow.f64 z #s(literal -1 binary64)))) #s(literal 1 binary64)))
(*.f64 x (/.f64 y z))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 x y) (pow.f64 z #s(literal -1 binary64))))) #s(literal 3 binary64)))
(*.f64 x (/.f64 y z))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 (.f64 x y) (pow.f64 z #s(literal -1 binary64))))) #s(literal 1/3 binary64)))
(*.f64 x (/.f64 y z))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (*.f64 x y) (pow.f64 z #s(literal -1 binary64))))) #s(literal 2 binary64)))
(*.f64 x (/.f64 y z))

eval29.0ms (0.9%)

Compiler: Compiled 1644 to 793 computations (51.8% saved)

prune21.0ms (0.7%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	121	6	127

Accuracy

100.0%

Counts

127 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.4%	(/.f64 (*.f64 x y) z)
✓	92.0%	(/.f64 y (/.f64 z x))
✓	94.8%	(/.f64 x (/.f64 z y))
✓	93.3%	(.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (.f64 x y) (sqrt.f64 z)))
✓	91.9%	(*.f64 y (/.f64 x z))
✓	93.2%	(*.f64 x (/.f64 y z))

Compiler

Compiled 102 to 55 computations (46.1% saved)

regimes58.0ms (1.8%)

Counts

7 → 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)
(.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (.f64 x y) (sqrt.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (.f64 x y) (sqrt.f64 z)))

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

Calls

5 calls:

16.0ms	y
13.0ms	(*.f64 x y)
11.0ms	x
11.0ms	z
8.0ms	(/.f64 (*.f64 x y) z)

Results

Accuracy	Segments	Branch
97.1%	2	`x`
97.2%	3	`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)

regimes8.0ms (0.2%)

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 z y))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.2%)

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:

7.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.3%)

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:

3.0ms	z
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
93.2%	1	`y`
93.2%	1	`x`
93.2%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch19.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
19.0ms	0.04656653331420737	15.388623894495376

Results

16.0ms	86×	256	valid
1.0ms	9×	256	infinite
0.0ms	1×	256	infinite

Compiler

Compiled 122 to 82 computations (32.8% saved)

Precisions

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

Operation ival-div, time spent: 1.0ms, 55.0% of total-time

Operation ival-mult, time spent: 1.0ms, 55.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch8.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
8.0ms	3.6149426849578432e-31	1.3585868285251183e-28

Results

5.0ms	53×	256	valid
2.0ms	10×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 86 to 58 computations (32.6% saved)

Precisions

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

Operation ival-div, time spent: 1.0ms, 84.0% of total-time

Operation ival-mult, time spent: 1.0ms, 84.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch15.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.6149426849578432e-31	1.3585868285251183e-28

Results

10.0ms	102×	256	valid
2.0ms	25×	256	infinite
0.0ms	1×	256	infinite

Compiler

Compiled 158 to 106 computations (32.9% saved)

Precisions

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

Operation ival-div, time spent: 1.0ms, 43.0% of total-time

Operation ival-mult, time spent: 1.0ms, 43.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	190
1	31	190

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal 3/2 binary64)) (/.f64 y (/.f64 z x)) (/.f64 x (/.f64 z y)))
(if (<=.f64 z #s(literal 8920298079412249/178405961588244985132285746181186892047843328 binary64)) (*.f64 y (/.f64 x z)) (/.f64 x (/.f64 z y)))
(if (<=.f64 z #s(literal 8831095098618127/89202980794122492566142873090593446023921664 binary64)) (.f64 y (/.f64 x z)) (.f64 x (/.f64 y z)))
(*.f64 x (/.f64 y z))

Outputs
(if (<=.f64 z #s(literal 3/2 binary64)) (/.f64 y (/.f64 z x)) (/.f64 x (/.f64 z y)))
(if (<=.f64 z #s(literal 8920298079412249/178405961588244985132285746181186892047843328 binary64)) (*.f64 y (/.f64 x z)) (/.f64 x (/.f64 z y)))
(if (<=.f64 z #s(literal 8831095098618127/89202980794122492566142873090593446023921664 binary64)) (.f64 y (/.f64 x z)) (.f64 x (/.f64 y z)))
(*.f64 x (/.f64 y z))

Compiler

Compiled 59 to 35 computations (40.7% saved)

soundness379.0ms (12%)

Rules

1568×	`fma-define`
1054×	`log-prod`
853×	`log1p-expm1-u`
853×	`expm1-log1p-u`
818×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	66
1	204	66
2	2340	66
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
1×	node limit

Compiler

Compiled 86 to 42 computations (51.2% saved)

end0.0ms (0%)

preprocess70.0ms (2.2%)

Compiler: Compiled 440 to 240 computations (45.5% saved)

analyze40.0ms (1.3%)

sample1.0s (32%)

preprocess179.0ms (5.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize52.0ms (1.7%)

series12.0ms (0.4%)

rewrite216.0ms (6.8%)

simplify115.0ms (3.6%)

eval72.0ms (2.3%)

prune15.0ms (0.5%)

localize69.0ms (2.2%)

series16.0ms (0.5%)

rewrite161.0ms (5.1%)

simplify201.0ms (6.4%)

eval61.0ms (1.9%)

prune44.0ms (1.4%)

localize71.0ms (2.3%)

series2.0ms (0.1%)

rewrite90.0ms (2.8%)

simplify94.0ms (3%)

eval29.0ms (0.9%)

prune21.0ms (0.7%)

regimes58.0ms (1.8%)

regimes8.0ms (0.2%)

regimes7.0ms (0.2%)

regimes8.0ms (0.3%)

bsearch19.0ms (0.6%)

bsearch8.0ms (0.3%)

bsearch15.0ms (0.5%)

simplify8.0ms (0.2%)

soundness379.0ms (12%)

end0.0ms (0%)

preprocess70.0ms (2.2%)

Profiling