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

792.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 438.0ms

ival-log: 142.0ms (32.4% of total)

ival-sub: 87.0ms (19.9% of total)

ival-mult: 80.0ms (18.3% of total)

ival-exp: 61.0ms (13.9% of total)

ival-add: 59.0ms (13.5% of total)

const: 7.0ms (1.6% of total)

backward-pass: 3.0ms (0.7% of total)

Bogosity

preprocess331.0ms (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))
(exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) z)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) z)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 x z)))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 y (log.f64 y))) z))
(exp.f64 (+.f64 (neg.f64 x) (-.f64 (*.f64 y (log.f64 y)) z)))
(exp.f64 (-.f64 (-.f64 (*.f64 y (log.f64 y)) x) z))
(/.f64 (/.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 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))
(exp.f64 (-.f64 (fma.f64 (neg.f64 y) (log.f64 (neg.f64 y)) x) z))
(*.f64 (pow.f64 (neg.f64 y) (neg.f64 y)) (exp.f64 (-.f64 x 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)))
(exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) (neg.f64 z))))
(exp.f64 (+.f64 x (fma.f64 y (log.f64 y) 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)))
(neg.f64 (exp.f64 (+.f64 (neg.f64 x) (-.f64 (*.f64 y (log.f64 y)) z))))
(neg.f64 (exp.f64 (-.f64 (-.f64 (*.f64 y (log.f64 y)) x) z)))
(/.f64 (/.f64 (pow.f64 y y) (exp.f64 x)) (neg.f64 (exp.f64 z)))
(neg.f64 (/.f64 (pow.f64 y y) (exp.f64 (+.f64 x 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)))
(neg.f64 (exp.f64 (-.f64 (fma.f64 (neg.f64 y) (log.f64 (neg.f64 y)) x) z)))
(neg.f64 (*.f64 (pow.f64 (neg.f64 y) (neg.f64 y)) (exp.f64 (-.f64 x z))))
(neg.f64 (/.f64 (exp.f64 (-.f64 x z)) (pow.f64 (neg.f64 y) y)))
(/.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))))
(neg.f64 (exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) (neg.f64 z)))))
(neg.f64 (exp.f64 (+.f64 x (fma.f64 y (log.f64 y) z))))
(neg.f64 (*.f64 (pow.f64 y y) (exp.f64 (+.f64 x z))))
(*.f64 (pow.f64 y y) (neg.f64 (exp.f64 (+.f64 x z))))
(*.f64 (neg.f64 (pow.f64 y y)) (exp.f64 (+.f64 x z)))
(exp.f64 (-.f64 (+.f64 y (*.f64 x (log.f64 x))) z))
(exp.f64 (+.f64 y (-.f64 (*.f64 x (log.f64 x)) z)))
(exp.f64 (-.f64 (fma.f64 x (log.f64 x) y) z))
(/.f64 (pow.f64 x x) (exp.f64 (-.f64 z y)))
(*.f64 (pow.f64 x x) (exp.f64 (-.f64 y z)))
(exp.f64 (-.f64 (+.f64 z (*.f64 y (log.f64 y))) x))
(exp.f64 (+.f64 z (-.f64 (*.f64 y (log.f64 y)) x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) z) x))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 z x)))
(exp.f64 (-.f64 (+.f64 x (*.f64 z (log.f64 z))) y))
(exp.f64 (+.f64 x (-.f64 (*.f64 z (log.f64 z)) y)))
(exp.f64 (-.f64 (fma.f64 z (log.f64 z) x) y))
(*.f64 (pow.f64 z z) (exp.f64 (-.f64 x y)))
(/.f64 (pow.f64 z z) (exp.f64 (-.f64 y x)))

explain104.0ms (2.7%)

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

56.0ms

512×

256

valid

Compiler

Compiled 84 to 26 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-log: 10.0ms (35.6% of total)

ival-add: 7.0ms (24.9% of total)

ival-mult: 5.0ms (17.8% of total)

ival-exp: 4.0ms (14.2% of total)

ival-sub: 3.0ms (10.7% of total)

const: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler: Compiled 44 to 20 computations (54.5% saved)

prune2.0ms (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)

localize60.0ms (1.6%)

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

37.0ms	212×	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: 28.0ms

ival-pow: 9.0ms (32.5% of total)

ival-log: 6.0ms (21.7% of total)

ival-mult: 4.0ms (14.5% of total)

ival-sub: 3.0ms (10.8% of total)

ival-exp: 3.0ms (10.8% of total)

ival-add: 2.0ms (7.2% of total)

const: 0.0ms (0% of total)

series224.0ms (5.8%)

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
145.0ms	y	@	-inf	(* y (log y))
36.0ms	y	@	0	(* y (log y))
12.0ms	z	@	inf	(* (pow y y) (exp (- x z)))
10.0ms	x	@	inf	(* (pow y y) (exp (- x z)))
7.0ms	y	@	inf	(* y (log y))

rewrite274.0ms (7.1%)

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 → 81

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))
(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 (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) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.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 (*.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)))

simplify138.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

532×	`times-frac`
389×	`*-commutative`
345×	`div-sub`
253×	`sub-neg`
235×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	281	5916
1	691	5476
2	2108	5039
3	6786	5036

Stop Event

1×	node limit

Counts

143 → 150

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

eval26.0ms (0.7%)

Compiler: Compiled 2394 to 904 computations (62.2% saved)

prune21.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	147	3	150
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	148	4	152

Accuracy

100.0%

Counts

152 → 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)

localize183.0ms (4.8%)

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

21.0ms	138×	256	valid
135.0ms	62×	8192	exit
10.0ms	56×	256	unsamplable

Compiler

Compiled 39 to 11 computations (71.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-pow: 87.0ms (67% of total)

ival-exp: 31.0ms (23.9% of total)

ival-mult: 5.0ms (3.9% of total)

ival-sub: 4.0ms (3.1% of total)

ival-div: 2.0ms (1.5% of total)

const: 0.0ms (0% of total)

series78.0ms (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
71.0ms	y	@	inf	(/ (pow y y) (exp z))
1.0ms	z	@	0	(/ (pow y y) (exp z))
1.0ms	y	@	0	(/ (pow y y) (exp z))
1.0ms	y	@	-inf	(/ (pow y y) (exp z))
1.0ms	z	@	inf	(/ (pow y y) (exp z))

rewrite90.0ms (2.4%)

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 → 71

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

simplify117.0ms (3%)

Algorithm

1×	egg-herbie

Rules

827×	`fma-neg`
766×	`fma-define`
370×	`unsub-neg`
267×	`*-commutative`
234×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	267	3699
1	645	3637
2	1838	3571
3	5697	3564

Stop Event

1×	node limit

Counts

103 → 130

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

eval24.0ms (0.6%)

Compiler: Compiled 1826 to 688 computations (62.3% saved)

prune22.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	127	3	130
Fresh	0	0	0
Picked	3	0	3
Done	1	0	1
Total	131	3	134

Accuracy

100.0%

Counts

134 → 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)

localize38.0ms (1%)

Results

31.0ms

256×

256

valid

Compiler

Compiled 17 to 8 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-pow: 10.0ms (56.7% of total)

ival-exp: 6.0ms (34% of total)

ival-neg: 1.0ms (5.7% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune2.0ms (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)

regimes22.0ms (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:

4.0ms	(+.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)

regimes20.0ms (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:

8.0ms	x
6.0ms	y
6.0ms	z

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes13.0ms (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:

4.0ms	z
3.0ms	x

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	x
0.0ms	y
0.0ms	z

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch8.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	6.223519985094586e+43	9.2335477205562e+43

Results

6.0ms

64×

valid

Compiler

Compiled 78 to 57 computations (26.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 1.0ms (28.4% of total)

ival-log: 1.0ms (28.4% of total)

ival-mult: 1.0ms (28.4% 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)

bsearch85.0ms (2.2%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	2.3589368108239504e+47	3.5683306343588515e+53
15.0ms	1.2765805690588223e-190	4.136670752710714e-181
51.0ms	-0.00011001975032649785	-2.1865795920090848e-11

Results

68.0ms

432×

valid

Compiler

Compiled 378 to 301 computations (20.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-log: 6.0ms (33.6% of total)

ival-mult: 4.0ms (22.4% of total)

ival-exp: 3.0ms (16.8% of total)

ival-sub: 2.0ms (11.2% of total)

ival-add: 2.0ms (11.2% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	60.76415990123995	259.2115264233873
14.0ms	-5.526550076487531e+55	-1.675109375872144e+51

Results

20.0ms

224×

valid

Compiler

Compiled 200 to 167 computations (16.5% saved)

Precisions

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

ival-add: 4.0ms (32.4% of total)

ival-log: 3.0ms (24.3% of total)

ival-mult: 2.0ms (16.2% of total)

ival-sub: 1.0ms (8.1% of total)

ival-exp: 1.0ms (8.1% of total)

const: 0.0ms (0% of total)

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

simplify5.0ms (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)

soundness736.0ms (19.2%)

Rules

1576×	`fma-define`
886×	`fma-neg`
827×	`fma-neg`
766×	`fma-define`
532×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	281	5916
1	691	5476
2	2108	5039
3	6786	5036
0	267	3699
1	645	3637
2	1838	3571
3	5697	3564
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 217 to 93 computations (57.1% saved)

preprocess60.0ms (1.6%)

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%)

preprocess331.0ms (8.6%)

explain104.0ms (2.7%)

eval1.0ms (0%)

prune2.0ms (0%)

localize60.0ms (1.6%)

series224.0ms (5.8%)

rewrite274.0ms (7.1%)

simplify138.0ms (3.6%)

eval26.0ms (0.7%)

prune21.0ms (0.6%)

localize183.0ms (4.8%)

series78.0ms (2%)

rewrite90.0ms (2.4%)

simplify117.0ms (3%)

eval24.0ms (0.6%)

prune22.0ms (0.6%)

localize38.0ms (1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes22.0ms (0.6%)

regimes20.0ms (0.5%)

regimes13.0ms (0.3%)

regimes7.0ms (0.2%)

regimes2.0ms (0%)

bsearch8.0ms (0.2%)

bsearch85.0ms (2.2%)

bsearch29.0ms (0.8%)

simplify5.0ms (0.1%)

soundness736.0ms (19.2%)

preprocess60.0ms (1.6%)

end0.0ms (0%)

Profiling