Metrics for Hyperbolic sine

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 8 computations (20% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample2.7s (55.8%)

Results

388.0ms	4003×	0	infinite
1.9s	3982×	1	valid
23.0ms	271×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-exp: 821.0ms (62.9% of total)

ival-neg: 172.0ms (13.2% of total)

ival-div: 126.0ms (9.7% of total)

backward-pass: 88.0ms (6.7% of total)

ival-sub: 78.0ms (6% of total)

const: 19.0ms (1.5% of total)

Bogosity

preprocess65.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

96×	`fma-define`
95×	`fma-neg`
27×	`sub-neg`
23×	`distribute-neg-frac`
20×	`div-sub`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	124
1	45	124
2	98	124
3	199	124
4	413	116
5	621	116
6	695	116
7	696	116

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) #s(literal 2 binary64))
(neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) #s(literal 2 binary64)))

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(fma.f64 (exp.f64 x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))

Symmetry

(negabs x)

explain367.0ms (7.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
139	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	-	-	`x`
0	-	-	`(exp.f64 (neg.f64 x))`
0	-	-	`(neg.f64 x)`
0	-	-	`(exp.f64 x)`
0	-	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
0	-	-	`#s(literal 2 binary64)`

Results

108.0ms	270×	1	valid
21.0ms	234×	0	infinite
1.0ms	8×	0	valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-exp: 64.0ms (72.6% of total)

backward-pass: 8.0ms (9.1% of total)

ival-div: 6.0ms (6.8% of total)

ival-sub: 5.0ms (5.7% of total)

ival-neg: 4.0ms (4.5% of total)

const: 2.0ms (2.3% of total)

eval1.0ms (0%)

Compiler: Compiled 17 to 11 computations (35.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.2%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize129.0ms (2.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	49.2%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

105.0ms	135×	1	valid
12.0ms	117×	0	infinite
0.0ms	4×	0	valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-exp: 86.0ms (88.7% of total)

ival-div: 3.0ms (3.1% of total)

backward-pass: 3.0ms (3.1% of total)

ival-neg: 2.0ms (2.1% of total)

ival-sub: 2.0ms (2.1% of total)

const: 1.0ms (1% of total)

series2.0ms (0%)

Counts

1 → 8

Calls

Call 1

Inputs
#<alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))>

Outputs
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(- (exp x) (exp (neg x)))
0.0ms	x	@	inf	(- (exp x) (exp (neg x)))
0.0ms	x	@	-inf	(- (exp x) (exp (neg x)))

rewrite206.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

51×	`add-exp-log`
51×	`add-log-exp`
51×	`log1p-expm1-u`
51×	`expm1-log1p-u`
49×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	118	14
2	1876	14

Stop Event

1×

unsound

Counts

1 → 8

Calls

Call 1

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

Outputs
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)

simplify77.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1068×	`fma-define`
330×	`distribute-lft-in`
137×	`distribute-rgt-in`
116×	`associate-r`
75×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	274
1	92	250
2	253	250
3	670	250
4	1208	250
5	1593	250
6	1752	250
7	1973	250
8	2238	250
9	2254	250
10	2254	250
11	2455	250

Stop Event

1×

saturated

Counts

16 → 24

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) x)
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)

Outputs
(*.f64 #s(literal 2 binary64) x)
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))
(fma.f64 x (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64))))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) (fma.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)

eval7.0ms (0.1%)

Compiler: Compiled 263 to 216 computations (17.9% saved)

prune11.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	18	6	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	7	25

Accuracy

100.0%

Counts

25 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.5%	(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
✓	49.2%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
	88.5%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
▶	56.7%	(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
▶	4.3%	(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
▶	4.3%	(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
▶	3.6%	(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))

Compiler

Compiled 91 to 79 computations (13.2% saved)

localize103.0ms (2.1%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.8%	(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))

Results

50.0ms	170×	0	valid
25.0ms	86×	0	infinite

Compiler

Compiled 57 to 47 computations (17.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-pow: 18.0ms (39.2% of total)

ival-div: 11.0ms (24% of total)

ival-mult: 8.0ms (17.4% of total)

ival-fma: 5.0ms (10.9% of total)

const: 4.0ms (8.7% of total)

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

series2.0ms (0%)

Counts

1 → 0

Calls

Call 1

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

Outputs

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* 1/3 (pow x 3))
1.0ms	x	@	inf	(* 1/3 (pow x 3))
0.0ms	x	@	-inf	(* 1/3 (pow x 3))

rewrite60.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

504×	`associate-r`
432×	`associate-l`
282×	`unpow-prod-down`
240×	`log1p-expm1-u`
240×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	74	16
2	737	16

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))

Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 1/3 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 1/3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 1/3 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 1/3 binary64))))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 1/3 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)))
(fabs.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 1/3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 #s(literal 1/3 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 2 binary64)))

simplify223.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

427×	`sub-neg`
369×	`fabs-mul`
344×	`exp-prod`
307×	`div-sub`
273×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	866
1	172	656
2	420	639
3	1858	639
4	5117	639

Stop Event

1×	node limit

Counts

25 → 31

Calls

Call 1

Inputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 1/3 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 1/3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 1/3 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 1/3 binary64))))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 1/3 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)))
(fabs.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 1/3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 #s(literal 1/3 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 2 binary64)))

Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (E.f64) (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 1/3 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 1/3 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 1/3 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 1/3 binary64))))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 1/3 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(fabs.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (log.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 #s(literal 1/3 binary64)))) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))

eval13.0ms (0.3%)

Compiler: Compiled 544 to 460 computations (15.4% saved)

prune78.0ms (1.6%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	31	7	38

Accuracy

100.0%

Counts

38 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.5%	(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
✓	49.2%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
▶	88.5%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
✓	56.7%	(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
✓	4.3%	(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
✓	4.3%	(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
✓	3.6%	(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))

Compiler

Compiled 50 to 43 computations (14% saved)

localize79.0ms (1.6%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
✓	99.7%	(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))

Results

44.0ms	170×	0	valid
16.0ms	86×	0	infinite

Compiler

Compiled 40 to 32 computations (20% saved)

Precisions

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

ival-pow: 15.0ms (43.3% of total)

ival-mult: 12.0ms (34.6% of total)

ival-add: 4.0ms (11.5% of total)

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

const: 2.0ms (5.8% of total)

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

series3.0ms (0.1%)

Counts

2 → 9

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x (+ 2 (* 1/3 (pow x 2))))
0.0ms	x	@	0	(* 1/3 (pow x 2))
0.0ms	x	@	-inf	(* x (+ 2 (* 1/3 (pow x 2))))
0.0ms	x	@	0	(* x (+ 2 (* 1/3 (pow x 2))))
0.0ms	x	@	inf	(* 1/3 (pow x 2))

rewrite87.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`log1p-expm1-u`
599×	`expm1-log1p-u`
571×	`unpow-prod-down`
313×	`log-prod`
293×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	129	43
2	1714	43

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (.f64 #s(literal 1/27 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64))) (fma.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64)) x) (fma.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) x) (.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) x (.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) x) (.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 x (sqrt.f64 #s(literal 1/3 binary64))) (.f64 (.f64 x (sqrt.f64 #s(literal 1/3 binary64))) x) (.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 x (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (cbrt.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 x (.f64 x (sqrt.f64 #s(literal 1/3 binary64)))) (.f64 x (sqrt.f64 #s(literal 1/3 binary64))) (.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (.f64 (.f64 x (sqrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))

simplify113.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

931×	`times-frac`
449×	`fma-define`
329×	`*-commutative`
323×	`exp-prod`
312×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	214	2632
1	438	2612
2	1075	2580
3	3074	2578
4	7421	2578

Stop Event

1×	node limit

Counts

88 → 104

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (.f64 #s(literal 1/27 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64))) (fma.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64)) x) (fma.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) x) (.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) x (.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) x) (.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 x (sqrt.f64 #s(literal 1/3 binary64))) (.f64 (.f64 x (sqrt.f64 #s(literal 1/3 binary64))) x) (.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 x #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 x (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (cbrt.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 x (.f64 x (sqrt.f64 #s(literal 1/3 binary64)))) (.f64 x (sqrt.f64 #s(literal 1/3 binary64))) (.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (.f64 (.f64 x (sqrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))

Outputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(+.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (.f64 #s(literal 1/27 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (.f64 #s(literal 1/27 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 x (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (.f64 #s(literal 1/27 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 x (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x #s(literal -2/3 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -4 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 9 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64))) (fma.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64)) (/.f64 x (fma.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64))))
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(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 x #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 x (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (cbrt.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (.f64 x (cbrt.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) x))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))))
(fma.f64 (.f64 x (.f64 x (sqrt.f64 #s(literal 1/3 binary64)))) (.f64 x (sqrt.f64 #s(literal 1/3 binary64))) (.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (pow.f64 (.f64 (.f64 x (sqrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))

eval48.0ms (1%)

Compiler: Compiled 1706 to 1402 computations (17.8% saved)

prune16.0ms (0.3%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	0	0	0
Picked	0	1	1
Done	1	5	6
Total	103	8	111

Accuracy

100.0%

Counts

111 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.2%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
▶	88.5%	(/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
✓	88.5%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
✓	56.7%	(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
▶	37.6%	(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
✓	4.3%	(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
✓	4.3%	(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
✓	3.6%	(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))

Compiler

Compiled 59 to 51 computations (13.6% saved)

localize109.0ms (2.3%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
	99.8%	(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
	99.8%	(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))

Results

51.0ms	170×	0	valid
27.0ms	86×	0	infinite

Compiler

Compiled 56 to 44 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-pow: 31.0ms (56.8% of total)

ival-mult: 14.0ms (25.6% of total)

ival-div: 4.0ms (7.3% of total)

ival-add: 3.0ms (5.5% of total)

const: 3.0ms (5.5% of total)

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

eval49.0ms (1%)

Compiler: Compiled 2049 to 1769 computations (13.7% saved)

prune17.0ms (0.3%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	124	8	132

Accuracy

100.0%

Counts

132 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.2%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
✓	88.5%	(/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
✓	88.5%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
✓	56.7%	(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
✓	37.6%	(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
✓	4.3%	(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
✓	4.3%	(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
✓	3.6%	(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))

Compiler

Compiled 121 to 103 computations (14.9% saved)

regimes11.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

Inputs
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))

Outputs

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

(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Calls

3 calls:

7.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
1.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
100.0%	2	`x`
100.0%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
100.0%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes3.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
88.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
88.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

Inputs
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
88.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))

Outputs
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
56.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))

Outputs
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
4.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))

Outputs
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
3.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00011791967763907785	+inf

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch19.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	5.8959838785345965e-5	151883.37443092026

Results

12.0ms

144×

valid

Compiler

Compiled 157 to 136 computations (13.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-exp: 3.0ms (51.7% of total)

ival-sub: 1.0ms (17.2% of total)

ival-div: 1.0ms (17.2% of total)

ival-neg: 1.0ms (17.2% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
5×	`+-commutative`
3×	`sub-neg`
2×	`neg-sub0`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	243
1	52	243
2	57	243
3	60	243
4	61	243

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 7378697629483821/36893488147419103232 binary64)) (/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) (/.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))

Outputs
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 7378697629483821/36893488147419103232 binary64)) (/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) (/.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) (/.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
#s(literal 1/4 binary64)
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
#s(literal 0 binary64)

soundness136.0ms (2.8%)

Rules

599×	`log1p-expm1-u`
599×	`expm1-log1p-u`
571×	`unpow-prod-down`
313×	`log-prod`
293×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	118	14
2	1876	14
0	11	47
1	129	43
2	1714	43

Stop Event

1×	done
1×	node limit
1×	unsound

Compiler

Compiled 149 to 114 computations (23.5% saved)

preprocess79.0ms (1.6%)

Compiler: Compiled 456 to 316 computations (30.7% saved)

analyze0.0ms (0%)

sample2.7s (55.8%)

preprocess65.0ms (1.3%)

explain367.0ms (7.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize129.0ms (2.7%)

series2.0ms (0%)

rewrite206.0ms (4.3%)

simplify77.0ms (1.6%)

eval7.0ms (0.1%)

prune11.0ms (0.2%)

localize103.0ms (2.1%)

series2.0ms (0%)

rewrite60.0ms (1.2%)

simplify223.0ms (4.6%)

eval13.0ms (0.3%)

prune78.0ms (1.6%)

localize79.0ms (1.6%)

series3.0ms (0.1%)

rewrite87.0ms (1.8%)

simplify113.0ms (2.3%)

eval48.0ms (1%)

prune16.0ms (0.3%)

localize109.0ms (2.3%)

eval49.0ms (1%)

prune17.0ms (0.3%)

regimes11.0ms (0.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch0.0ms (0%)

bsearch19.0ms (0.4%)

simplify8.0ms (0.2%)

soundness136.0ms (2.8%)

preprocess79.0ms (1.6%)

end0.0ms (0%)

Profiling