Metrics for Data.Number.Erf:$dmerfcx from erf-2.0.0.0

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 6 computations (33.3% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample1.2s (41.4%)

Results

865.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 472.0ms

ival-mult: 328.0ms (69.5% of total)

ival-exp: 130.0ms (27.5% of total)

const: 11.0ms (2.3% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess200.0ms (7%)

Algorithm

1×	egg-herbie

Rules

157×	`fma-define`
55×	`fma-neg`
44×	`exp-prod`
33×	`distribute-lft-neg-in`
32×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	190
1	55	190
2	105	190
3	223	190
4	406	190
5	641	190
6	785	190
7	834	190
8	888	190
9	899	190
10	911	190
11	916	190

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(abs y)

(negabs x)

explain110.0ms (3.8%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f64 x (exp.f64 (.f64 y y)))`
-	-	`x`
-	-	`(*.f64 y y)`
-	-	`(exp.f64 (*.f64 y y))`
-	-	`y`

Results

68.0ms

512×

valid

Compiler

Compiled 44 to 17 computations (61.4% saved)

Precisions

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

ival-mult: 19.0ms (68.9% of total)

ival-exp: 8.0ms (29% of total)

const: 1.0ms (3.6% of total)

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

eval1.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 x (exp.f64 (.f64 y y)))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6336	(exp.f64 (*.f64 y y))
✓	cost-diff	-6336	(.f64 x (exp.f64 (.f64 y y)))
✓	cost-diff	0	(*.f64 y y)

Rules

1×	`*-commutative`
1×	`exp-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	64
1	14	64

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (exp.f64 (.f64 y y)))
x
(exp.f64 (*.f64 y y))
(*.f64 y y)
y

Outputs
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
x
(exp.f64 (*.f64 y y))
(pow.f64 (exp.f64 y) y)
(*.f64 y y)
y

localize51.0ms (1.8%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	accuracy	100.0%	(exp.f64 (*.f64 y y))

Results

38.0ms

256×

valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

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

ival-mult: 9.0ms (55.5% of total)

ival-exp: 6.0ms (37% of total)

const: 0.0ms (0% of total)

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

series15.0ms (0.5%)

Counts

3 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* x (exp (* y y)))
2.0ms	x	@	-inf	(* x (exp (* y y)))
1.0ms	y	@	inf	(* y y)
1.0ms	x	@	inf	(* x (exp (* y y)))
1.0ms	y	@	inf	(* x (exp (* y y)))

rewrite404.0ms (14.1%)

Algorithm

1×	batch-egg-rewrite

Rules

393×	`unpow-prod-down`
375×	`log1p-expm1-u`
375×	`expm1-log1p-u`
357×	`add-exp-log`
342×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	103	47
2	1102	47

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

Inputs
(*.f64 y y)
(.f64 x (exp.f64 (.f64 y y)))
(exp.f64 (*.f64 y y))

Outputs
(+.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 6 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 y))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 y)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 y))))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (E.f64) (fma.f64 y y (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y y (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y y (log.f64 x))))
(pow.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (log.f64 x)))) (hypot.f64 y (sqrt.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(exp.f64 (fma.f64 y y (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (log.f64 x))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (E.f64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (E.f64) (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (E.f64) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) y) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) #s(literal 2 binary64)) y) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) y) (pow.f64 (sqrt.f64 (exp.f64 y)) y))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))))) (cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (pow.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 y))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
(pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (exp.f64 y) y)
(pow.f64 (exp.f64 y) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 y) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (cbrt.f64 y))
(pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y))
(pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))
(pow.f64 (E.f64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (cbrt.f64 y)) (cbrt.f64 y))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))

simplify607.0ms (21.2%)

Algorithm

1×	egg-herbie

Rules

801×	`fma-define`
559×	`distribute-lft-in`
488×	`distribute-rgt-in`
337×	`distribute-lft-out`
251×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	287	4294970990
1	486	4294970899
2	1268	4294970869
3	4985	4294970865

Stop Event

1×	node limit

Counts

154 → 152

Calls

Call 1

Inputs
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64))))))))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 6 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 y))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 y)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 y))))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (E.f64) (fma.f64 y y (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y y (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y y (log.f64 x))))
(pow.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (log.f64 x)))) (hypot.f64 y (sqrt.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(exp.f64 (fma.f64 y y (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (log.f64 x))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (E.f64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (E.f64) (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (E.f64) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) y) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) #s(literal 2 binary64)) y) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) y) (pow.f64 (sqrt.f64 (exp.f64 y)) y))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))))) (cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (pow.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 y))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
(pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (exp.f64 y) y)
(pow.f64 (exp.f64 y) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 y) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (cbrt.f64 y))
(pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y))
(pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))
(pow.f64 (E.f64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (cbrt.f64 y)) (cbrt.f64 y))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))

Outputs
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
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(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (pow.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 y))
(/.f64 (pow.f64 (exp.f64 y) (+.f64 y #s(literal 1 binary64))) (exp.f64 y))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (exp.f64 y) y)
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (exp.f64 y) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (exp.f64 y) (+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64))))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (cbrt.f64 y))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y))
(pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y))
(pow.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) y) (/.f64 y #s(literal 2 binary64)))
(pow.f64 (E.f64) (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) (fabs.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (fabs.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (cbrt.f64 y)) (cbrt.f64 y))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (fabs.f64 (cbrt.f64 y))) (fabs.f64 (cbrt.f64 y)))
(sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(cbrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))

eval56.0ms (2%)

Compiler: Compiled 1813 to 515 computations (71.6% saved)

prune51.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	151	2	153

Accuracy

100.0%

Counts

153 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
▶	53.0%	x

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify14.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4

Stop Event

1×

saturated

Calls

Call 1

Inputs
x

Outputs
x

localize15.0ms (0.5%)

Results

11.0ms

256×

valid

Compiler

Compiled 4 to 3 computations (25% saved)

Precisions

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

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	1	1
Total	2	2

Accuracy

100.0%

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	53.0%	x

Compiler

Compiled 20 to 12 computations (40% saved)

regimes14.0ms (0.5%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(.f64 x (exp.f64 (.f64 y y)))

Outputs
(.f64 x (exp.f64 (.f64 y y)))

Calls

5 calls:

3.0ms	(.f64 x (exp.f64 (.f64 y y)))
3.0ms	x
3.0ms	y
3.0ms	(*.f64 y y)
2.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(.f64 x (exp.f64 (.f64 y y)))`
100.0%	1	`(exp.f64 (*.f64 y y))`
100.0%	1	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes8.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

5.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
53.0%	1	`x`
53.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	12	30

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (exp.f64 (.f64 y y)))
x

Outputs
(.f64 x (exp.f64 (.f64 y y)))
x

soundness1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 9 to 5 computations (44.4% saved)

preprocess113.0ms (3.9%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 146 to 90 computations (38.4% saved)

Data.Number.Erf:$dmerfcx from erf-2.0.0.0

analyze0.0ms (0%)

sample1.2s (41.4%)

preprocess200.0ms (7%)

explain110.0ms (3.8%)

eval1.0ms (0%)

prune2.0ms (0.1%)

simplify11.0ms (0.4%)

localize51.0ms (1.8%)

series15.0ms (0.5%)

rewrite404.0ms (14.1%)

simplify607.0ms (21.2%)

eval56.0ms (2%)

prune51.0ms (1.8%)

simplify14.0ms (0.5%)

localize15.0ms (0.5%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes14.0ms (0.5%)

regimes8.0ms (0.3%)

simplify3.0ms (0.1%)

soundness1.0ms (0%)

preprocess113.0ms (3.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	190
1	55	190
2	105	190
3	223	190
4	406	190
5	641	190
6	785	190
7	834	190
8	888	190
9	899	190
10	911	190
11	916	190

Iter	Nodes	Cost
0	22	190
1	55	190
2	105	190
3	223	190
4	406	190
5	641	190
6	785	190
7	834	190
8	888	190
9	899	190
10	911	190
11	916	190

Iter	Nodes	Cost
0	22	190
1	55	190
2	105	190
3	223	190
4	406	190
5	641	190
6	785	190
7	834	190
8	888	190
9	899	190
10	911	190
11	916	190