Metrics for Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1, B

analyze287.0ms (7.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
25%	25%	74.9%	0.2%	0%	0%	0%	5
25%	25%	74.9%	0.2%	0%	0%	0%	6
25%	25%	74.9%	0.2%	0%	0%	0%	7
37.5%	37.4%	62.4%	0.2%	0%	0%	0%	8
56.3%	56.1%	43.7%	0.2%	0%	0%	0%	9
56.3%	56.1%	43.7%	0.2%	0%	0%	0%	10
56.3%	56.1%	43.7%	0.2%	0%	0%	0%	11
65.6%	65.5%	34.3%	0.2%	0%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 27.0ms (54.7% of total)

ival-div: 22.0ms (44.6% of total)

const: 1.0ms (2% of total)

sample1.3s (31.9%)

Results

782.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 280.0ms

ival-div: 136.0ms (48.5% of total)

ival-mult: 135.0ms (48.1% of total)

const: 7.0ms (2.5% of total)

backward-pass: 3.0ms (1.1% of total)

Bogosity

preprocess114.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

768×	`fma-neg`
546×	`unsub-neg`
484×	`distribute-lft-neg-in`
412×	`div-sub`
399×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	656
1	169	380
2	483	368
3	1746	368
4	4511	368
5	7419	368

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))
(.f64 x (.f64 (/.f64 y z) (/.f64 t t)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))
(.f64 x (.f64 (/.f64 y z) (/.f64 t t)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(.f64 (neg.f64 x) (/.f64 (.f64 (/.f64 y z) t) t))
(.f64 (.f64 (/.f64 y z) (/.f64 t t)) (neg.f64 x))
(*.f64 (/.f64 y (neg.f64 z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(.f64 x (/.f64 (.f64 (/.f64 (neg.f64 y) z) t) t))
(.f64 (.f64 (/.f64 y z) (/.f64 t t)) (neg.f64 x))
(*.f64 (/.f64 y (neg.f64 z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(.f64 x (/.f64 (.f64 (/.f64 y (neg.f64 z)) t) t))
(.f64 (.f64 (/.f64 y z) (/.f64 t t)) (neg.f64 x))
(*.f64 (/.f64 y (neg.f64 z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(.f64 x (/.f64 (.f64 (/.f64 y z) (neg.f64 t)) (neg.f64 t)))
(.f64 x (.f64 (/.f64 y z) (/.f64 t t)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(neg.f64 (.f64 (neg.f64 x) (/.f64 (.f64 (/.f64 y z) t) t)))
(.f64 x (.f64 (/.f64 y z) (/.f64 t t)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(neg.f64 (.f64 x (/.f64 (.f64 (/.f64 (neg.f64 y) z) t) t)))
(.f64 x (.f64 (/.f64 y z) (/.f64 t t)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(neg.f64 (.f64 x (/.f64 (.f64 (/.f64 y (neg.f64 z)) t) t)))
(.f64 x (.f64 (/.f64 y z) (/.f64 t t)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(neg.f64 (.f64 x (/.f64 (.f64 (/.f64 y z) (neg.f64 t)) (neg.f64 t))))
(.f64 (.f64 (/.f64 y z) (/.f64 t t)) (neg.f64 x))
(*.f64 (/.f64 y (neg.f64 z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(.f64 y (/.f64 (.f64 (/.f64 x z) t) t))
(.f64 x (.f64 (/.f64 y z) (/.f64 t t)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(.f64 z (/.f64 (.f64 (/.f64 y x) t) t))
(.f64 z (.f64 (/.f64 y x) (/.f64 t t)))
(.f64 z (.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 z (/.f64 y x))
(.f64 t (/.f64 (.f64 (/.f64 y z) x) x))
(.f64 t (.f64 (/.f64 y z) (/.f64 x x)))
(.f64 t (/.f64 (.f64 y #s(literal 1 binary64)) z))
(/.f64 (*.f64 y t) z)
(*.f64 t (/.f64 y z))
(.f64 x (/.f64 (.f64 (/.f64 z y) t) t))
(.f64 x (.f64 (/.f64 z y) (/.f64 t t)))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(.f64 x (/.f64 (.f64 (/.f64 t z) y) y))
(.f64 x (/.f64 (.f64 y (/.f64 t z)) y))
(*.f64 (/.f64 t z) x)
(*.f64 t (/.f64 x z))
(*.f64 x (/.f64 t z))
(.f64 x (/.f64 (.f64 (/.f64 y t) z) z))
(.f64 x (.f64 (/.f64 y t) (/.f64 z z)))
(*.f64 (/.f64 y t) x)
(*.f64 x (/.f64 y t))

Symmetry

(abs t)

(negabs x)

(negabs y)

(negabs z)

(sort x y)

explain69.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
32	-	0	-	`(/.f64 (*.f64 (/.f64 y z) t) t)`
26	-	0	-	`(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))`
16	-	1	(1.0514599412270225e-270 4.9372888867891185e-270 9.363925950358083e+51 7.813643452298001e+118)	`(*.f64 (/.f64 y z) t)`
0	-	0	-	`x`
0	-	0	-	`(/.f64 y z)`
0	-	0	-	`z`
0	-	0	-	`t`
0	-	0	-	`y`

Results

44.0ms

512×

256

valid

Compiler

Compiled 79 to 26 computations (67.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 8.0ms (50.2% of total)

ival-mult: 7.0ms (43.9% of total)

const: 0.0ms (0% of total)

eval3.0ms (0.1%)

Compiler: Compiled 23 to 11 computations (52.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.8%	(*.f64 y (/.f64 x z))
▶	90.2%	(*.f64 x (/.f64 y z))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize35.0ms (0.9%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	91.8%	(*.f64 y (/.f64 x z))
✓	90.2%	(*.f64 x (/.f64 y z))

Results

27.0ms

256×

256

valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

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

ival-div: 4.0ms (50.1% of total)

ival-mult: 4.0ms (50.1% of total)

const: 0.0ms (0% of total)

series167.0ms (4.2%)

Counts

2 → 72

Calls

Call 1

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

18 calls:

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

rewrite242.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`unpow-prod-down`
726×	`log1p-expm1-u`
726×	`expm1-log1p-u`
426×	`log-prod`
181×	`pow-unpow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	159	44
2	2219	44

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

simplify176.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

560×	`fma-neg`
443×	`cube-prod`
426×	`distribute-lft-in`
373×	`exp-prod`
323×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	3200
1	174	3200
2	462	3200
3	2414	3200
4	6465	3200

Stop Event

1×	node limit

Counts

136 → 37

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 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 (*.f64 x y) z)
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 z))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 z))
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) y) (neg.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))
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (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 z (*.f64 x y)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #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)))
(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)))
(+.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 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 (*.f64 x y) z)
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 z))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 z))
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) y) (neg.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))
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (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 z (*.f64 x y)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #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)))
(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)))

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

eval5.0ms (0.1%)

Compiler: Compiled 338 to 115 computations (66% saved)

prune8.0ms (0.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	33	6	39

Accuracy

100.0%

Counts

39 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.9%	(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
▶	91.8%	(/.f64 (*.f64 x y) z)
▶	91.5%	(/.f64 y (/.f64 z x))
▶	90.6%	(/.f64 x (/.f64 z y))
✓	91.8%	(*.f64 y (/.f64 x z))
✓	90.2%	(*.f64 x (/.f64 y z))

Compiler

Compiled 60 to 40 computations (33.3% saved)

localize86.0ms (2.2%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	99.2%	(pow.f64 (cbrt.f64 z) #s(literal 2 binary64))
✓	99.2%	(cbrt.f64 z)
✓	98.8%	(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
✓	92.8%	(/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
✓	91.8%	(/.f64 (*.f64 x y) z)
✓	91.5%	(/.f64 y (/.f64 z x))
✓	90.6%	(/.f64 x (/.f64 z y))

Results

68.0ms

256×

256

valid

Compiler

Compiled 70 to 22 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 18.0ms (52.4% of total)

ival-pow: 11.0ms (32% of total)

ival-mult: 3.0ms (8.7% of total)

ival-cbrt: 2.0ms (5.8% of total)

const: 1.0ms (2.9% of total)

series37.0ms (0.9%)

Counts

7 → 160

Calls

Call 1

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

Outputs
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (/.f64 (.f64 x y) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (/.f64 (.f64 x y) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (/.f64 (.f64 x y) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (/.f64 (.f64 x y) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #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 (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.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 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) (*.f64 z (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) (*.f64 z (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) (*.f64 z (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 z) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 z) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 z) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 z) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>

Calls

51 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(/ (* x y) (pow (cbrt z) 2))
3.0ms	x	@	0	(/ (* x y) (pow (cbrt z) 2))
3.0ms	z	@	inf	(/ (* x y) (pow (cbrt z) 2))
3.0ms	z	@	-inf	(/ (* x y) (pow (cbrt z) 2))
2.0ms	y	@	0	(/ (* x y) (pow (cbrt z) 2))

rewrite193.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`log1p-expm1-u`
914×	`expm1-log1p-u`
174×	`times-frac`
159×	`prod-diff`
139×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	142
1	309	142
2	4818	142

Stop Event

1×	node limit

Counts

7 → 560

Calls

Call 1

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

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

simplify393.0ms (9.9%)

Algorithm

1×	egg-herbie

Rules

535×	`distribute-lft-neg-in`
512×	`distribute-rgt-neg-in`
380×	`times-frac`
322×	`cancel-sign-sub-inv`
256×	`exp-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	469	20493
1	1113	20007
2	3739	20007

Stop Event

1×	node limit

Counts

720 → 243

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

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

eval45.0ms (1.1%)

Compiler: Compiled 3759 to 1637 computations (56.5% saved)

prune75.0ms (1.9%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	271	1	272
Fresh	0	0	0
Picked	1	3	4
Done	0	2	2
Total	272	6	278

Accuracy

100.0%

Counts

278 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.8%	(/.f64 (*.f64 x y) z)
✓	91.5%	(/.f64 y (/.f64 z x))
✓	90.6%	(/.f64 x (/.f64 z y))
▶	91.8%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))
✓	91.8%	(*.f64 y (/.f64 x z))
✓	90.2%	(*.f64 x (/.f64 y z))

Compiler

Compiled 56 to 38 computations (32.1% saved)

localize101.0ms (2.5%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	91.8%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))

Results

92.0ms

256×

256

valid

Compiler

Compiled 22 to 12 computations (45.5% saved)

Precisions

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

ival-div: 4.0ms (35.3% of total)

ival-mult: 4.0ms (35.3% of total)

const: 4.0ms (35.3% of total)

series2.0ms (0%)

Counts

1 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite75.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

679×	`unpow-prod-down`
585×	`log1p-expm1-u`
585×	`expm1-log1p-u`
496×	`pow1`
360×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	139	22
2	1651	22

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

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

simplify90.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

570×	`fma-neg`
417×	`distribute-lft-in`
398×	`cube-prod`
351×	`exp-prod`
333×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	1549
1	181	1549
2	514	1549
3	2919	1549
4	6562	1549

Stop Event

1×	node limit

Counts

67 → 36

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

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

eval5.0ms (0.1%)

Compiler: Compiled 331 to 128 computations (61.3% saved)

prune9.0ms (0.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	36	6	42

Accuracy

100.0%

Counts

42 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.8%	(/.f64 (*.f64 x y) z)
✓	91.5%	(/.f64 y (/.f64 z x))
✓	90.6%	(/.f64 x (/.f64 z y))
✓	91.8%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))
✓	91.8%	(*.f64 y (/.f64 x z))
✓	90.2%	(*.f64 x (/.f64 y z))

Compiler

Compiled 112 to 63 computations (43.8% saved)

regimes39.0ms (1%)

Counts

8 → 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 (/.f64 #s(literal 1 binary64) z) (.f64 x y))
(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))

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

Calls

7 calls:

8.0ms	t
7.0ms	z
6.0ms	x
5.0ms	(/.f64 y z)
5.0ms	y

Results

Accuracy	Segments	Branch
96.3%	2	`x`
95.4%	2	`y`
99.8%	2	`z`
94.5%	3	`t`
99.0%	2	`(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))`
99.0%	2	`(/.f64 (*.f64 (/.f64 y z) t) t)`
99.8%	2	`(/.f64 y z)`

Compiler

Compiled 51 to 36 computations (29.4% saved)

regimes7.0ms (0.2%)

Counts

4 → 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))

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

Calls

2 calls:

4.0ms	z
3.0ms	(/.f64 y z)

Results

Accuracy	Segments	Branch
99.8%	2	`z`
99.7%	2	`(/.f64 y z)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	z
2.0ms	(/.f64 y z)

Results

Accuracy	Segments	Branch
99.7%	2	`(/.f64 y z)`
99.7%	2	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	x
0.0ms	z
0.0ms	(/.f64 y z)
0.0ms	t
0.0ms	y

Results

Accuracy	Segments	Branch
90.2%	1	`t`
90.2%	1	`y`
90.2%	1	`x`
90.2%	1	`z`
90.2%	1	`(/.f64 y z)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1611424659282397e+282	5.918487122108099e+282

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch5.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	85711268.16457567	838202228613404900.0

Results

3.0ms

48×

valid

Compiler

Compiled 80 to 56 computations (30% saved)

Precisions

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

ival-div: 1.0ms (65.6% of total)

ival-mult: 1.0ms (65.6% of total)

const: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4216145943148197e+285	2.0355573342666606e+286

Compiler

Compiled 20 to 14 computations (30% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	208
1	32	208

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 y z) #s(literal 2000000000000000065564491965724196497141410566042987128526667154881885206394748671855868757344823586107634995163648301637403269353821391391987982202586085042249557608491240131630546544710299192980657097825020601258185202784889671304261897129652009244157571353621710211402529400422400 binary64)) (.f64 x (/.f64 y z)) (/.f64 (.f64 x y) z))
(if (<=.f64 z #s(literal 50000000000 binary64)) (/.f64 y (/.f64 z x)) (*.f64 x (/.f64 y z)))
(if (<=.f64 (/.f64 y z) #s(literal 1999999999999999960318315841040885700386219039705694423600051421123300719965076170448177232372292987688572298794442900745238641790877787395895304332910450668118745492827496294412886841783505081241175060724440547726013803102191981415396885683051819084945689177376162160752265237201158144 binary64)) (.f64 x (/.f64 y z)) (.f64 y (/.f64 x z)))
(*.f64 x (/.f64 y z))

Outputs
(if (<=.f64 (/.f64 y z) #s(literal 2000000000000000065564491965724196497141410566042987128526667154881885206394748671855868757344823586107634995163648301637403269353821391391987982202586085042249557608491240131630546544710299192980657097825020601258185202784889671304261897129652009244157571353621710211402529400422400 binary64)) (.f64 x (/.f64 y z)) (/.f64 (.f64 x y) z))
(if (<=.f64 (/.f64 y z) #s(literal 2000000000000000065564491965724196497141410566042987128526667154881885206394748671855868757344823586107634995163648301637403269353821391391987982202586085042249557608491240131630546544710299192980657097825020601258185202784889671304261897129652009244157571353621710211402529400422400 binary64)) (.f64 (/.f64 y z) x) (/.f64 (.f64 y x) z))
(if (<=.f64 z #s(literal 50000000000 binary64)) (/.f64 y (/.f64 z x)) (*.f64 x (/.f64 y z)))
(if (<=.f64 z #s(literal 50000000000 binary64)) (/.f64 y (/.f64 z x)) (*.f64 (/.f64 y z) x))
(if (<=.f64 (/.f64 y z) #s(literal 1999999999999999960318315841040885700386219039705694423600051421123300719965076170448177232372292987688572298794442900745238641790877787395895304332910450668118745492827496294412886841783505081241175060724440547726013803102191981415396885683051819084945689177376162160752265237201158144 binary64)) (.f64 x (/.f64 y z)) (.f64 y (/.f64 x z)))
(if (<=.f64 (/.f64 y z) #s(literal 1999999999999999960318315841040885700386219039705694423600051421123300719965076170448177232372292987688572298794442900745238641790877787395895304332910450668118745492827496294412886841783505081241175060724440547726013803102191981415396885683051819084945689177376162160752265237201158144 binary64)) (.f64 (/.f64 y z) x) (.f64 y (/.f64 x z)))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 y z) x)

soundness352.0ms (8.8%)

Rules

781×	`unpow-prod-down`
768×	`fma-neg`
726×	`log1p-expm1-u`
726×	`expm1-log1p-u`
546×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	656
1	169	380
2	483	368
3	1746	368
4	4511	368
5	7419	368
0	13	44
1	159	44
2	2219	44

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 192 to 76 computations (60.4% saved)

preprocess76.0ms (1.9%)

Remove: (abs t)
Compiler: Compiled 994 to 502 computations (49.5% saved)

Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1, B

analyze287.0ms (7.2%)

sample1.3s (31.9%)

preprocess114.0ms (2.9%)

explain69.0ms (1.7%)

eval3.0ms (0.1%)

prune1.0ms (0%)

localize35.0ms (0.9%)

series167.0ms (4.2%)

rewrite242.0ms (6.1%)

simplify176.0ms (4.4%)

eval5.0ms (0.1%)

prune8.0ms (0.2%)

localize86.0ms (2.2%)

series37.0ms (0.9%)

rewrite193.0ms (4.8%)

simplify393.0ms (9.9%)

eval45.0ms (1.1%)

prune75.0ms (1.9%)

localize101.0ms (2.5%)

series2.0ms (0%)

rewrite75.0ms (1.9%)

simplify90.0ms (2.3%)

eval5.0ms (0.1%)

prune9.0ms (0.2%)

regimes39.0ms (1%)

regimes7.0ms (0.2%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch5.0ms (0.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

soundness352.0ms (8.8%)

preprocess76.0ms (1.9%)

end0.0ms (0%)

Profiling