Metrics for Statistics.Distribution.Poisson.Internal:probability from math-functions-0.1.5.2

analyze1.0ms (0%)

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
100%	49.9%	0%	0.1%	0%	49.9%	0%	3

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

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

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

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

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

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

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

const: 0.0ms (0% of total)

sample1.1s (29%)

Results

479.0ms	4798×	0	infinite
329.0ms	3458×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 394.0ms

ival-log: 141.0ms (35.8% of total)

ival-mult: 85.0ms (21.6% of total)

ival-sub: 57.0ms (14.5% of total)

ival-exp: 54.0ms (13.7% of total)

ival-add: 46.0ms (11.7% of total)

const: 8.0ms (2% of total)

backward-pass: 4.0ms (1% of total)

Bogosity

preprocess338.0ms (8.6%)

Algorithm

1×	egg-herbie

Rules

1576×	`fma-define`
886×	`fma-neg`
436×	`exp-sum`
365×	`div-sub`
328×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	473
1	108	421
2	295	421
3	871	405
4	1971	405
5	3435	405
6	5159	405
7	6112	405
8	6635	405
9	6973	405
10	7095	405
11	7136	405
12	7759	405
13	7916	405

Stop Event

1×	node limit

Calls

Call 1

Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 (+.f64 x (*.f64 (neg.f64 y) (log.f64 (neg.f64 y)))) z))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) (neg.f64 z)))
(neg.f64 (exp.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 y (log.f64 y))) z)))
(neg.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 (neg.f64 y) (log.f64 (neg.f64 y)))) z)))
(neg.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) (neg.f64 z))))
(exp.f64 (-.f64 (+.f64 y (*.f64 x (log.f64 x))) z))
(exp.f64 (-.f64 (+.f64 z (*.f64 y (log.f64 y))) x))
(exp.f64 (-.f64 (+.f64 x (*.f64 z (log.f64 z))) y))

Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 y (log.f64 y))) z))
(/.f64 (pow.f64 y y) (exp.f64 (+.f64 x z)))
(exp.f64 (-.f64 (+.f64 x (*.f64 (neg.f64 y) (log.f64 (neg.f64 y)))) z))
(/.f64 (exp.f64 (-.f64 x z)) (pow.f64 (neg.f64 y) y))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) (neg.f64 z)))
(*.f64 (pow.f64 y y) (exp.f64 (+.f64 x z)))
(neg.f64 (exp.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 y (log.f64 y))) z)))
(/.f64 (neg.f64 (pow.f64 y y)) (exp.f64 (+.f64 x z)))
(neg.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 (neg.f64 y) (log.f64 (neg.f64 y)))) z)))
(/.f64 (exp.f64 (-.f64 x z)) (neg.f64 (pow.f64 (neg.f64 y) y)))
(neg.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) (neg.f64 z))))
(*.f64 (neg.f64 (pow.f64 y y)) (exp.f64 (+.f64 x z)))
(exp.f64 (-.f64 (+.f64 y (*.f64 x (log.f64 x))) z))
(*.f64 (pow.f64 x x) (exp.f64 (-.f64 y z)))
(exp.f64 (-.f64 (+.f64 z (*.f64 y (log.f64 y))) x))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) z) x))
(exp.f64 (-.f64 (+.f64 x (*.f64 z (log.f64 z))) y))
(exp.f64 (fma.f64 z (log.f64 z) (-.f64 x y)))

explain127.0ms (3.2%)

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`x`
0	-	-	`z`
0	-	-	`(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)`
0	-	-	`(+.f64 x (*.f64 y (log.f64 y)))`
0	-	-	`y`
0	-	-	`(log.f64 y)`
1	(259.2115264233873 1.0213561892697127e-275 1.9498527143335545e-43)	-	`(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))`
0	-	-	`(*.f64 y (log.f64 y))`

Results

48.0ms	290×	256	infinite
25.0ms	222×	256	valid

Compiler

Compiled 84 to 26 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-log: 10.0ms (25.4% of total)

ival-exp: 10.0ms (25.4% of total)

ival-mult: 10.0ms (25.4% of total)

ival-add: 7.0ms (17.8% of total)

ival-sub: 3.0ms (7.6% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.6%	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
▶	100.0%	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize198.0ms (5%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	98.8%	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
✓	100.0%	(+.f64 x (*.f64 y (log.f64 y)))
✓	99.7%	(*.f64 y (log.f64 y))

Results

151.0ms	129×	256	infinite
16.0ms	83×	256	valid
8.0ms	44×	256	unsamplable

Compiler

Compiled 57 to 13 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-pow: 76.0ms (80.6% of total)

ival-log: 6.0ms (6.4% of total)

ival-mult: 4.0ms (4.2% of total)

ival-sub: 3.0ms (3.2% of total)

ival-exp: 3.0ms (3.2% of total)

ival-add: 1.0ms (1.1% of total)

const: 0.0ms (0% of total)

series106.0ms (2.7%)

Counts

3 → 62

Calls

Call 1

Inputs
#<alt (*.f64 y (log.f64 y))>
#<alt (+.f64 x (*.f64 y (log.f64 y)))>
#<alt (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))>

Outputs
#<alt (.f64 #s(literal -1 binary64) (.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))>
#<alt (.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))>
#<alt (.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))>
#<alt (.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))>
#<alt (*.f64 y (log.f64 y))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (log.f64 y)) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (log.f64 y)) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (log.f64 y)) x)))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 y (log.f64 y)) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 y (log.f64 y)) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 y (log.f64 y)) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))>
#<alt (.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (exp.f64 (-.f64 x z))>
#<alt (+.f64 (exp.f64 (-.f64 x z)) (.f64 y (.f64 (exp.f64 (-.f64 x z)) (log.f64 y))))>
#<alt (+.f64 (exp.f64 (-.f64 x z)) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y)))))>
#<alt (+.f64 (exp.f64 (-.f64 x z)) (.f64 y (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))))) (.f64 (exp.f64 (-.f64 x z)) (log.f64 y)))))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))>
#<alt (+.f64 (.f64 x (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))>
#<alt (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))>
#<alt (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))))) (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (.f64 (exp.f64 (neg.f64 (+.f64 z (.f64 #s(literal -1 binary64) x)))) (pow.f64 y y))>
#<alt (.f64 (exp.f64 (neg.f64 (+.f64 z (.f64 #s(literal -1 binary64) x)))) (pow.f64 y y))>
#<alt (.f64 (exp.f64 (neg.f64 (+.f64 z (.f64 #s(literal -1 binary64) x)))) (pow.f64 y y))>
#<alt (.f64 (exp.f64 (neg.f64 (+.f64 z (.f64 #s(literal -1 binary64) x)))) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 z (.f64 (exp.f64 x) (pow.f64 y y)))) (.f64 (exp.f64 x) (pow.f64 y y)))>
#<alt (+.f64 (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (.f64 (exp.f64 x) (pow.f64 y y))) (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 (exp.f64 x) (pow.f64 y y)))))) (*.f64 (exp.f64 x) (pow.f64 y y)))>
#<alt (+.f64 (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (.f64 (exp.f64 x) (pow.f64 y y))) (.f64 z (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 z (.f64 (exp.f64 x) (pow.f64 y y)))) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 x) (pow.f64 y y))))))) (.f64 (exp.f64 x) (pow.f64 y y)))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))>
#<alt (.f64 (exp.f64 (+.f64 x (.f64 #s(literal -1 binary64) z))) (pow.f64 y y))>
#<alt (.f64 (exp.f64 (+.f64 x (.f64 #s(literal -1 binary64) z))) (pow.f64 y y))>
#<alt (.f64 (exp.f64 (+.f64 x (.f64 #s(literal -1 binary64) z))) (pow.f64 y y))>
#<alt (.f64 (exp.f64 (+.f64 x (.f64 #s(literal -1 binary64) z))) (pow.f64 y y))>

Calls

18 calls:

Time	Variable		Point	Expression
35.0ms	y	@	0	(* y (log y))
20.0ms	y	@	-inf	(* y (log y))
17.0ms	x	@	0	(+ x (* y (log y)))
10.0ms	x	@	inf	(* (pow y y) (exp (- x z)))
7.0ms	y	@	inf	(* y (log y))

rewrite241.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1112×	`log1p-expm1-u`
1112×	`expm1-log1p-u`
428×	`fma-define`
196×	`log1p-undefine`
191×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	78
1	224	74
2	3009	74

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

Inputs
(*.f64 y (log.f64 y))
(+.f64 x (*.f64 y (log.f64 y)))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

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

simplify128.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

742×	`times-frac`
332×	`exp-prod`
261×	`distribute-lft-in`
246×	`associate-/l*`
244×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	322	6578
1	760	6018
2	2341	5909
3	7695	5906

Stop Event

1×	node limit

Counts

175 → 151

Calls

Call 1

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

Outputs
(.f64 #s(literal -1 binary64) (.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (log.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (log.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (log.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (log.f64 y))
(.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(*.f64 y (log.f64 y))
x
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (log.f64 y)) x)))
(*.f64 x (fma.f64 y (/.f64 (log.f64 y) x) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (log.f64 y)) x)))
(*.f64 x (fma.f64 y (/.f64 (log.f64 y) x) #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (log.f64 y)) x)))
(*.f64 x (fma.f64 y (/.f64 (log.f64 y) x) #s(literal 1 binary64)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 y (log.f64 y)) x)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 y (/.f64 (log.f64 y) x) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 y (log.f64 y)) x)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 y (/.f64 (log.f64 y) x) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 y (log.f64 y)) x)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 y (/.f64 (log.f64 y) x) #s(literal 1 binary64)))
x
(.f64 #s(literal -1 binary64) (.f64 y (log.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (log.f64 y))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(*.f64 y (+.f64 (log.f64 y) (/.f64 x y)))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(*.f64 y (+.f64 (log.f64 y) (/.f64 x y)))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(*.f64 y (+.f64 (log.f64 y) (/.f64 x y)))
(.f64 y (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(*.f64 y (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 x y)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 x y)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 x y)))
(exp.f64 (-.f64 x z))
(+.f64 (exp.f64 (-.f64 x z)) (.f64 y (.f64 (exp.f64 (-.f64 x z)) (log.f64 y))))
(exp.f64 (+.f64 (-.f64 x z) (log1p.f64 (*.f64 y (log.f64 y)))))
(+.f64 (exp.f64 (-.f64 x z)) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y)))))
(fma.f64 y (.f64 (exp.f64 (-.f64 x z)) (+.f64 (log.f64 y) (.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) (exp.f64 (-.f64 x z)))
(+.f64 (exp.f64 (-.f64 x z)) (.f64 y (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) #s(literal 2 binary64)))))) (.f64 (exp.f64 (-.f64 x z)) (log.f64 y)))))
(+.f64 (exp.f64 (+.f64 (-.f64 x z) (log1p.f64 (.f64 y (log.f64 y))))) (.f64 (.f64 (exp.f64 (-.f64 x z)) (+.f64 (.f64 (.f64 y #s(literal 1/6 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) (*.f64 y y)))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+.f64 (.f64 x (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))
(.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))))) (.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))) (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)))
(+.f64 (.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(.f64 (exp.f64 (neg.f64 (+.f64 z (.f64 #s(literal -1 binary64) x)))) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(.f64 (exp.f64 (neg.f64 (+.f64 z (.f64 #s(literal -1 binary64) x)))) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(.f64 (exp.f64 (neg.f64 (+.f64 z (.f64 #s(literal -1 binary64) x)))) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(.f64 (exp.f64 (neg.f64 (+.f64 z (.f64 #s(literal -1 binary64) x)))) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 x) (pow.f64 y y))
(*.f64 (pow.f64 y y) (exp.f64 x))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 z (.f64 (exp.f64 x) (pow.f64 y y)))) (.f64 (exp.f64 x) (pow.f64 y y)))
(.f64 (+.f64 #s(literal 1 binary64) (neg.f64 z)) (.f64 (pow.f64 y y) (exp.f64 x)))
(+.f64 (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (.f64 (exp.f64 x) (pow.f64 y y))) (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 (exp.f64 x) (pow.f64 y y)))))) (*.f64 (exp.f64 x) (pow.f64 y y)))
(.f64 (.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (+.f64 #s(literal 1 binary64) (neg.f64 z)) (.f64 z (.f64 z #s(literal 1/2 binary64)))))
(+.f64 (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (.f64 (exp.f64 x) (pow.f64 y y))) (.f64 z (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 z (.f64 (exp.f64 x) (pow.f64 y y)))) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 x) (pow.f64 y y))))))) (.f64 (exp.f64 x) (pow.f64 y y)))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (neg.f64 z)) (.f64 (pow.f64 y y) (exp.f64 x))) (.f64 z (.f64 (.f64 z (.f64 (pow.f64 y y) (exp.f64 x))) (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal -1/6 binary64))))))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
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eval61.0ms (1.5%)

Compiler: Compiled 2228 to 824 computations (63% saved)

prune25.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	148	3	151
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	149	4	153

Accuracy

100.0%

Counts

153 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.0%	(/.f64 (pow.f64 y y) (exp.f64 z))
▶	68.1%	(*.f64 (pow.f64 y y) (exp.f64 x))
✓	100.0%	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
▶	83.3%	(exp.f64 (-.f64 x z))

Compiler

Compiled 37 to 25 computations (32.4% saved)

localize295.0ms (7.5%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.2%	(/.f64 (pow.f64 y y) (exp.f64 z))
✓	99.6%	(*.f64 (pow.f64 y y) (exp.f64 x))

Results

17.0ms	106×	256	valid
244.0ms	62×	8192	exit
9.0ms	56×	256	unsamplable
5.0ms	32×	256	infinite

Compiler

Compiled 39 to 11 computations (71.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 238.0ms

ival-pow: 193.0ms (81% of total)

ival-exp: 32.0ms (13.4% of total)

ival-sub: 5.0ms (2.1% of total)

ival-mult: 5.0ms (2.1% of total)

ival-div: 3.0ms (1.3% of total)

const: 0.0ms (0% of total)

series7.0ms (0.2%)

Counts

2 → 32

Calls

Call 1

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

Outputs
#<alt (exp.f64 x)>
#<alt (+.f64 (exp.f64 x) (.f64 y (.f64 (exp.f64 x) (log.f64 y))))>
#<alt (+.f64 (exp.f64 x) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 (exp.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) (*.f64 (exp.f64 x) (log.f64 y)))))>
#<alt (+.f64 (exp.f64 x) (.f64 y (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 (exp.f64 x) (pow.f64 (log.f64 y) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 x) (pow.f64 (log.f64 y) #s(literal 2 binary64)))))) (.f64 (exp.f64 x) (log.f64 y)))))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (pow.f64 y y)>
#<alt (+.f64 (*.f64 x (pow.f64 y y)) (pow.f64 y y))>
#<alt (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y y))) (pow.f64 y y))) (pow.f64 y y))>
#<alt (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (pow.f64 y y))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y y)))) (pow.f64 y y))) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (*.f64 (exp.f64 x) (pow.f64 y y))>
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 z))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z)))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (pow.f64 (log.f64 y) #s(literal 2 binary64))) (exp.f64 z))) (/.f64 (log.f64 y) (exp.f64 z)))) (/.f64 #s(literal 1 binary64) (exp.f64 z)))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 y (pow.f64 (log.f64 y) #s(literal 3 binary64))) (exp.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (exp.f64 z))))) (/.f64 (log.f64 y) (exp.f64 z)))) (/.f64 #s(literal 1 binary64) (exp.f64 z)))>
#<alt (pow.f64 y y)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 z (pow.f64 y y))) (pow.f64 y y))>
#<alt (+.f64 (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y y)) (*.f64 #s(literal 1/2 binary64) (pow.f64 y y))))) (pow.f64 y y))) (pow.f64 y y))>
#<alt (+.f64 (.f64 z (-.f64 (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y y)) (.f64 #s(literal 1/2 binary64) (pow.f64 y y)))) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 y y)) (.f64 #s(literal 1/6 binary64) (pow.f64 y y)))))) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y y)) (*.f64 #s(literal 1/2 binary64) (pow.f64 y y))))) (pow.f64 y y))) (pow.f64 y y))>

Calls

12 calls:

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

rewrite143.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`log1p-expm1-u`
747×	`expm1-log1p-u`
435×	`log-prod`
216×	`pow2`
215×	`pow-unpow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	170	52
2	2066	52

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

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

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

simplify81.0ms (2%)

Algorithm

1×	egg-herbie

Rules

476×	`times-frac`
333×	`*-commutative`
325×	`distribute-lft-in`
300×	`distribute-rgt-in`
271×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	4602
1	716	4522
2	2338	4460

Stop Event

1×	node limit

Counts

128 → 132

Calls

Call 1

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

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

eval27.0ms (0.7%)

Compiler: Compiled 1675 to 601 computations (64.1% saved)

prune19.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	129	3	132
Fresh	0	0	0
Picked	3	0	3
Done	1	0	1
Total	133	3	136

Accuracy

100.0%

Counts

136 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.9%	(pow.f64 y y)
▶	59.3%	(exp.f64 (neg.f64 z))
▶	52.6%	(exp.f64 x)

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize44.0ms (1.1%)

Results

25.0ms	194×	256	valid
9.0ms	62×	256	infinite

Compiler

Compiled 17 to 8 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-pow: 11.0ms (65% of total)

ival-exp: 5.0ms (29.5% of total)

ival-neg: 1.0ms (5.9% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	3	3
Done	0	0
Total	3	3

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.9%	(pow.f64 y y)
✓	59.3%	(exp.f64 (neg.f64 z))
✓	52.6%	(exp.f64 x)

Compiler

Compiled 61 to 31 computations (49.2% saved)

regimes24.0ms (0.6%)

Counts

8 → 1

Calls

Call 1

Inputs
(exp.f64 x)
(exp.f64 (neg.f64 z))
(pow.f64 y y)
(exp.f64 (-.f64 x z))
(*.f64 (pow.f64 y y) (exp.f64 x))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

Calls

7 calls:

5.0ms	(+.f64 x (*.f64 y (log.f64 y)))
4.0ms	z
3.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
3.0ms	(*.f64 y (log.f64 y))
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))`
100.0%	1	`(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)`
100.0%	1	`(+.f64 x (*.f64 y (log.f64 y)))`
100.0%	1	`(*.f64 y (log.f64 y))`

Compiler

Compiled 51 to 35 computations (31.4% saved)

regimes21.0ms (0.5%)

Counts

7 → 2

Calls

Call 1

Inputs
(exp.f64 x)
(exp.f64 (neg.f64 z))
(pow.f64 y y)
(exp.f64 (-.f64 x z))
(*.f64 (pow.f64 y y) (exp.f64 x))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

Outputs
(exp.f64 (-.f64 x z))
(pow.f64 y y)

Calls

3 calls:

10.0ms	y
6.0ms	z
5.0ms	x

Results

Accuracy	Segments	Branch
89.2%	2	`x`
92.0%	2	`y`
90.3%	2	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.3%)

Counts

3 → 4

Calls

Call 1

Inputs
(exp.f64 x)
(exp.f64 (neg.f64 z))
(pow.f64 y y)

Outputs
(exp.f64 (neg.f64 z))
(pow.f64 y y)
(exp.f64 x)
(exp.f64 (neg.f64 z))

Calls

3 calls:

6.0ms	z
4.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
81.9%	5	`x`
81.8%	4	`z`
78.1%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.2%)

Counts

2 → 3

Calls

Call 1

Inputs
(exp.f64 x)
(exp.f64 (neg.f64 z))

Outputs
(exp.f64 x)
(exp.f64 (neg.f64 z))
(exp.f64 x)

Calls

2 calls:

3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
79.8%	3	`x`
78.4%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(exp.f64 x)

Outputs
(exp.f64 x)

Calls

3 calls:

0.0ms	y
0.0ms	z
0.0ms	x

Results

Accuracy	Segments	Branch
52.6%	1	`y`
52.6%	1	`z`
52.6%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch9.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	6.223519985094586e+43	9.2335477205562e+43

Results

4.0ms	49×	0	infinite
1.0ms	15×	0	valid

Compiler

Compiled 78 to 57 computations (26.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-log: 1.0ms (38.2% of total)

ival-mult: 1.0ms (38.2% of total)

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

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

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

const: 0.0ms (0% of total)

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

bsearch62.0ms (1.6%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.3589368108239504e+47	3.5683306343588515e+53
20.0ms	1.2765805690588223e-190	4.136670752710714e-181
20.0ms	-0.00011001975032649785	-2.1865795920090848e-11

Results

20.0ms	219×	0	infinite
23.0ms	213×	0	valid

Compiler

Compiled 378 to 301 computations (20.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-log: 8.0ms (39% of total)

ival-mult: 5.0ms (24.4% of total)

ival-exp: 3.0ms (14.6% of total)

ival-sub: 2.0ms (9.8% of total)

ival-add: 2.0ms (9.8% of total)

const: 0.0ms (0% of total)

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

bsearch33.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	60.76415990123995	259.2115264233873
18.0ms	-5.526550076487531e+55	-1.675109375872144e+51

Results

14.0ms	129×	0	infinite
9.0ms	95×	0	valid

Compiler

Compiled 200 to 167 computations (16.5% saved)

Precisions

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

ival-log: 6.0ms (51.3% of total)

ival-mult: 2.0ms (17.1% of total)

ival-sub: 1.0ms (8.5% of total)

ival-add: 1.0ms (8.5% of total)

ival-exp: 1.0ms (8.5% of total)

const: 0.0ms (0% of total)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
3×	`sub-neg`
2×	`*-commutative`
2×	`if-if-or-not`
1×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	221
1	55	221
2	59	221
3	60	221

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 y #s(literal 74999999999999996712500739696774781333405696 binary64)) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 z #s(literal -8116567392432203/73786976294838206464 binary64)) (exp.f64 (neg.f64 z)) (if (<=.f64 z #s(literal 2449441655328671/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856 binary64)) (pow.f64 y y) (if (<=.f64 z #s(literal 360000000000000007671539654766762878089356640256 binary64)) (exp.f64 x) (exp.f64 (neg.f64 z)))))
(if (<=.f64 x #s(literal -5499999999999999962715217708988953870539396430692352 binary64)) (exp.f64 x) (if (<=.f64 x #s(literal 255 binary64)) (exp.f64 (neg.f64 z)) (exp.f64 x)))
(exp.f64 x)

Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 y #s(literal 74999999999999996712500739696774781333405696 binary64)) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 z #s(literal -8116567392432203/73786976294838206464 binary64)) (exp.f64 (neg.f64 z)) (if (<=.f64 z #s(literal 2449441655328671/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856 binary64)) (pow.f64 y y) (if (<=.f64 z #s(literal 360000000000000007671539654766762878089356640256 binary64)) (exp.f64 x) (exp.f64 (neg.f64 z)))))
(if (<=.f64 x #s(literal -5499999999999999962715217708988953870539396430692352 binary64)) (exp.f64 x) (if (<=.f64 x #s(literal 255 binary64)) (exp.f64 (neg.f64 z)) (exp.f64 x)))
(if (or (<=.f64 x #s(literal -5499999999999999962715217708988953870539396430692352 binary64)) (not (<=.f64 x #s(literal 255 binary64)))) (exp.f64 x) (exp.f64 (neg.f64 z)))
(exp.f64 x)

soundness709.0ms (18%)

Rules

1576×	`fma-define`
886×	`fma-neg`
742×	`times-frac`
476×	`times-frac`
436×	`exp-sum`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	304	4602
1	716	4522
2	2338	4460
0	322	6578
1	760	6018
2	2341	5909
3	7695	5906
0	44	473
1	108	421
2	295	421
3	871	405
4	1971	405
5	3435	405
6	5159	405
7	6112	405
8	6635	405
9	6973	405
10	7095	405
11	7136	405
12	7759	405
13	7916	405

Stop Event

1×	done
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 177 to 85 computations (52% saved)

preprocess68.0ms (1.7%)

Compiler: Compiled 172 to 98 computations (43% saved)

Statistics.Distribution.Poisson.Internal:probability from math-functions-0.1.5.2

analyze1.0ms (0%)

sample1.1s (29%)

preprocess338.0ms (8.6%)

explain127.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize198.0ms (5%)

series106.0ms (2.7%)

rewrite241.0ms (6.1%)

simplify128.0ms (3.2%)

eval61.0ms (1.5%)

prune25.0ms (0.6%)

localize295.0ms (7.5%)

series7.0ms (0.2%)

rewrite143.0ms (3.6%)

simplify81.0ms (2%)

eval27.0ms (0.7%)

prune19.0ms (0.5%)

localize44.0ms (1.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes24.0ms (0.6%)

regimes21.0ms (0.5%)

regimes14.0ms (0.3%)

regimes7.0ms (0.2%)

regimes2.0ms (0%)

bsearch9.0ms (0.2%)

bsearch62.0ms (1.6%)

bsearch33.0ms (0.8%)

simplify3.0ms (0.1%)

soundness709.0ms (18%)

preprocess68.0ms (1.7%)

end0.0ms (0%)

Profiling