Metrics for Expression 3, p15

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 17 to 9 computations (47.1% saved)

Precisions

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

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-and, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

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

Operation ival-<=, time spent: 0.0ms, 0.0% of total-time

sample1.8s (61.5%)

Results

1.6s	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 452.0ms

Operation ival-mult, time spent: 275.0ms, 61.0% of total-time

Operation ival-<=, time spent: 86.0ms, 19.0% of total-time

Operation ival-add, time spent: 62.0ms, 14.0% of total-time

Operation const, time spent: 17.0ms, 4.0% of total-time

Operation ival-and, time spent: 11.0ms, 2.0% of total-time

Bogosity

preprocess178.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

191×	`fma-neg`
169×	`fma-define`
64×	`associate-r`
52×	`distribute-lft-neg-in`
39×	`unsub-neg`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(*.f64 x x)`
-	-	`(.f64 x (.f64 x x))`
-	-	`(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	124
1	52	104
2	157	104
3	486	104
4	860	104
5	1031	104
6	1037	104

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(+.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x)))
(neg.f64 (+.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))))

Outputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(+.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x)))
(+.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(-.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))
(neg.f64 (+.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))))
(neg.f64 (+.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))

Compiler

Compiled 50 to 14 computations (72% saved)

Precisions

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

Operation ival-mult, time spent: 8.0ms, 68.0% of total-time

Operation ival-add, time spent: 3.0ms, 26.0% of total-time

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

eval1.0ms (0%)

Compiler: Compiled 14 to 8 computations (42.9% saved)

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
▶	100.0%	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Compiler

Compiled 17 to 8 computations (52.9% saved)

localize61.0ms (2.1%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
✓	99.9%	(.f64 x (.f64 x x))

Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

Operation ival-mult, time spent: 15.0ms, 43.0% of total-time

Operation ival-pow, time spent: 9.0ms, 26.0% of total-time

Operation composed, time spent: 6.0ms, 17.0% of total-time

Operation ival-add, time spent: 5.0ms, 14.0% of total-time

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

series3.0ms (0.1%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (.f64 x (.f64 x x))>
#<alt (+.f64 (.f64 x (.f64 x x)) (*.f64 x x))>

Outputs
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* x (* x x))
0.0ms	x	@	0	(* x (* x x))
0.0ms	x	@	inf	(* x (* x x))
0.0ms	x	@	0	(+ (* x (* x x)) (* x x))
0.0ms	x	@	inf	(+ (* x (* x x)) (* x x))

rewrite186.0ms (6.4%)

Algorithm

1×	batch-egg-rewrite

Rules

893×	`prod-diff`
447×	`log1p-expm1-u`
447×	`expm1-log1p-u`
428×	`unpow-prod-down`
385×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	35
1	103	34
2	1341	34

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

Inputs
(.f64 x (.f64 x x))
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Outputs
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 9/2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 9 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 x x x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (fma.f64 x x x)))
(*.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 x x x)))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (fma.f64 x x x) x)
(*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(.f64 (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 x x x)))
(.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64)))))
(.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (+.f64 (log1p.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (.f64 (+.f64 (log1p.f64 x) (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (+.f64 (log1p.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 x (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (cbrt.f64 x) (pow.f64 x #s(literal 3 binary64)))

simplify91.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

606×	`fma-neg`
341×	`exp-prod`
320×	`cancel-sign-sub-inv`
305×	`fma-define`
245×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	227	3438
1	449	3354
2	943	3354
3	3018	3354

Stop Event

1×	node limit

Counts

122 → 109

Calls

Call 1

Inputs
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 9/2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 9 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 x x x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (fma.f64 x x x)))
(*.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 x x x)))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (fma.f64 x x x) x)
(*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(.f64 (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 x x x)))
(.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64)))))
(.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (+.f64 (log1p.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (.f64 (+.f64 (log1p.f64 x) (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (+.f64 (log1p.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 x (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (cbrt.f64 x) (pow.f64 x #s(literal 3 binary64)))

Outputs
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 9/2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 9 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 6 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal 3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(pow.f64 x #s(literal 3 binary64))
(cbrt.f64 (pow.f64 x #s(literal 9 binary64)))
(pow.f64 x #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(pow.f64 x #s(literal 3 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 binary64))))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(pow.f64 x #s(literal 3 binary64))
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 x) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (cbrt.f64 x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64)))

eval81.0ms (2.8%)

Compiler: Compiled 1296 to 857 computations (33.9% saved)

prune15.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	109	2	111

Accuracy

100.0%

Counts

111 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
▶	100.0%	(*.f64 (fma.f64 x x x) x)

Compiler

Compiled 17 to 7 computations (58.8% saved)

localize93.0ms (3.2%)

Compiler: Compiled 13 to 4 computations (69.2% saved)
Precisions: Click to see histograms. Total time spent on operations: 11.0ms
Operation composed, time spent: 5.0ms, 46.0% of total-time
Operation ival-mult, time spent: 4.0ms, 37.0% of total-time
Operation ival-add, time spent: 2.0ms, 18.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (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 (.f64 x (.f64 x x)) (*.f64 x x))
✓	100.0%	(*.f64 (fma.f64 x x x) x)

Compiler

Compiled 39 to 16 computations (59% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(*.f64 (fma.f64 x x x) x)
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))

Outputs
(*.f64 (fma.f64 x x x) x)

Calls

2 calls:

2.0ms	x
1.0ms	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Results

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

Compiler

Compiled 12 to 5 computations (58.3% saved)

regimes114.0ms (3.9%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Outputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Calls

2 calls:

113.0ms	x
1.0ms	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Results

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

Compiler

Compiled 12 to 5 computations (58.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	67
1	14	67

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 (fma.f64 x x x) x)
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Outputs
(*.f64 (fma.f64 x x x) x)
(*.f64 x (fma.f64 x x x))
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 x (*.f64 x x)))

Compiler

Compiled 17 to 7 computations (58.8% saved)

soundness108.0ms (3.7%)

Rules

893×	`prod-diff`
447×	`log1p-expm1-u`
447×	`expm1-log1p-u`
428×	`unpow-prod-down`
385×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	35
1	103	34
2	1341	34

Stop Event

1×	node limit

Compiler

Compiled 30 to 9 computations (70% saved)

end0.0ms (0%)

preprocess186.0ms (6.3%)

Compiler: Compiled 68 to 30 computations (55.9% saved)

analyze0.0ms (0%)

sample1.8s (61.5%)

preprocess178.0ms (6.1%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize61.0ms (2.1%)

series3.0ms (0.1%)

rewrite186.0ms (6.4%)

simplify91.0ms (3.1%)

eval81.0ms (2.8%)

prune15.0ms (0.5%)

localize93.0ms (3.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes4.0ms (0.1%)

regimes114.0ms (3.9%)

simplify4.0ms (0.1%)

soundness108.0ms (3.7%)

end0.0ms (0%)

preprocess186.0ms (6.3%)

Profiling