Metrics for exp neg sub

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 9 to 7 computations (22.2% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

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

sample1.0s (21.3%)

Results

545.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 348.0ms

ival-exp: 136.0ms (39% of total)

ival-mult: 81.0ms (23.2% of total)

ival-sub: 59.0ms (16.9% of total)

ival-neg: 59.0ms (16.9% of total)

const: 11.0ms (3.2% of total)

backward-pass: 3.0ms (0.9% of total)

Bogosity

preprocess127.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

949×	`exp-sum`
778×	`fma-neg`
470×	`fma-define`
411×	`associate-+r+`
341×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	112
1	46	96
2	92	96
3	178	80
4	325	80
5	500	80
6	750	80
7	1167	80
8	2054	80
9	3725	80
10	7422	80

Stop Event

1×	node limit

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))))
(neg.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))))))

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

Symmetry

(abs x)

explain66.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
0	-	-	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
0	-	-	`x`
0	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
0	-	-	`(*.f64 x x)`
0	-	-	`#s(literal 1 binary64)`

Results

40.0ms

512×

valid

Compiler

Compiled 58 to 20 computations (65.5% saved)

Precisions

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

ival-mult: 6.0ms (30.4% of total)

ival-exp: 4.0ms (20.3% of total)

const: 4.0ms (20.3% of total)

ival-sub: 3.0ms (15.2% of total)

ival-neg: 3.0ms (15.2% of total)

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

eval2.0ms (0.1%)

Compiler: Compiled 18 to 9 computations (50% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize126.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 (*.f64 x x) #s(literal -1 binary64))
✓	cost-diff	-6272	(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (*.f64 x x) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))

Rules

862×	`fma-neg`
683×	`exp-sum`
363×	`unsub-neg`
337×	`exp-diff`
331×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	52
1	20	52
2	34	52
3	54	52
4	115	52
5	233	52
6	526	52
7	1082	52
8	3280	52
9	6690	52

Stop Event

1×	node limit

Calls

Call 1

Inputs
(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal -1 binary64)

Outputs
(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal -1 binary64)

Results

42.0ms

256×

valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

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

ival-exp: 2.0ms (31.1% of total)

ival-mult: 2.0ms (31.1% of total)

ival-add: 1.0ms (15.5% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))>
#<alt (*.f64 x x)>
#<alt (+.f64 (*.f64 x x) #s(literal -1 binary64))>

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(exp (+ (* x x) -1))
0.0ms	x	@	inf	(* x x)
0.0ms	x	@	0	(* x x)
0.0ms	x	@	inf	(exp (+ (* x x) -1))
0.0ms	x	@	inf	(+ (* x x) -1)

rewrite225.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

434×	`log1p-expm1-u`
434×	`expm1-log1p-u`
415×	`add-exp-log`
399×	`add-log-exp`
381×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	102	44
2	1241	44

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

Inputs
(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(*.f64 x x)
(+.f64 (*.f64 x x) #s(literal -1 binary64))

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

eval23.0ms (0.5%)

Compiler: Compiled 2116 to 471 computations (77.7% saved)

prune22.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	181	5	186
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	181	6	187

Accuracy

100.0%

Counts

187 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
▶	100.0%	(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
▶	100.0%	(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
▶	100.0%	(+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x #s(literal -1 binary64))))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
▶	57.1%	(exp.f64 #s(literal -1 binary64))

Compiler

Compiled 81 to 63 computations (22.2% saved)

localize193.0ms (4%)

Algorithm

1×	egg-herbie

Localize:

Found 30 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
✓	cost-diff	0	(pow.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))
✓	cost-diff	12928	(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(exp.f64 (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	192	(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
✓	cost-diff	0	(expm1.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x #s(literal -1 binary64))))
✓	cost-diff	0	(exp.f64 #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
✓	cost-diff	0	(E.f64)
✓	cost-diff	64	(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
✓	accuracy	100.0%	(fma.f64 x x #s(literal -1 binary64))
✓	accuracy	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	accuracy	100.0%	(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
✓	accuracy	99.1%	(pow.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(exp.f64 (+.f64 x #s(literal -1 binary64)))
✓	accuracy	100.0%	(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 x x #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x #s(literal -1 binary64))))
✓	accuracy	100.0%	(expm1.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	accuracy	100.0%	(exp.f64 #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 x x #s(literal -1 binary64))
✓	accuracy	100.0%	(E.f64)
✓	accuracy	100.0%	(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))

Rules

692×	`fma-neg`
673×	`associate-+r-`
540×	`associate-+l-`
438×	`associate-r`
340×	`associate-l`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	24	271
1	42	271
2	56	271
3	106	271
4	359	271
5	2038	271
6	4111	251

Stop Event

1×	node limit

Calls

Call 1

Inputs
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(E.f64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(exp.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x #s(literal -1 binary64))))
#s(literal 1 binary64)
(expm1.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(exp.f64 (+.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal 3 binary64)
#s(literal 1/3 binary64)

Outputs
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(E.f64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(exp.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
#s(literal 1 binary64)
(expm1.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (+.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal 3 binary64)
#s(literal 1/3 binary64)

Results

98.0ms

256×

valid

Compiler

Compiled 87 to 19 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-pow: 38.0ms (64.2% of total)

ival-exp: 6.0ms (10.1% of total)

ival-add: 4.0ms (6.8% of total)

ival-fma: 4.0ms (6.8% of total)

ival-expm1: 4.0ms (6.8% of total)

ival-e: 2.0ms (3.4% of total)

const: 1.0ms (1.7% of total)

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

series59.0ms (1.2%)

Counts

13 → 132

Calls

Call 1

Inputs
#<alt (pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))>
#<alt (E.f64)>
#<alt (fma.f64 x x #s(literal -1 binary64))>
#<alt (exp.f64 #s(literal -1 binary64))>
#<alt (expm1.f64 (fma.f64 x x #s(literal -1 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x #s(literal -1 binary64))))>
#<alt (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))>
#<alt (exp.f64 (+.f64 x #s(literal -1 binary64)))>
#<alt (+.f64 x #s(literal -1 binary64))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (pow.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))>
#<alt (pow.f64 (pow.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))>
#<alt (exp.f64 (fma.f64 x x #s(literal -1 binary64)))>

Outputs
#<alt (/.f64 #s(literal 1 binary64) (E.f64))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (E.f64))) (E.f64)))>
#<alt (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64))) (E.f64))) (/.f64 (log.f64 (E.f64)) (E.f64)))) (/.f64 #s(literal 1 binary64) (E.f64)))>
#<alt (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 (E.f64)) #s(literal 3 binary64))) (E.f64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (E.f64)) #s(literal 2 binary64)) (E.f64))))) (/.f64 (log.f64 (E.f64)) (E.f64)))) (/.f64 #s(literal 1 binary64) (E.f64)))>
#<alt (exp.f64 (*.f64 (log.f64 (E.f64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 (log.f64 (E.f64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 (log.f64 (E.f64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 (log.f64 (E.f64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 (log.f64 (E.f64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 (log.f64 (E.f64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 (log.f64 (E.f64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 (log.f64 (E.f64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64))))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(literal -1 binary64)))))))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (exp.f64 #s(literal -1 binary64))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64)))))))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(literal -1 binary64))))))))>
#<alt (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (exp.f64 #s(literal -1 binary64))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64)))))))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(literal -1 binary64))))))))>
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (exp.f64 #s(literal -1 binary64))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (exp.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 x (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 x (exp.f64 #s(literal -1 binary64)))))))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 x (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (exp.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(literal -1 binary64))))))))>
#<alt (exp.f64 (-.f64 x #s(literal 1 binary64)))>
#<alt (exp.f64 (-.f64 x #s(literal 1 binary64)))>
#<alt (exp.f64 (-.f64 x #s(literal 1 binary64)))>
#<alt (exp.f64 (-.f64 x #s(literal 1 binary64)))>
#<alt (exp.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (exp.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (exp.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (exp.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 x #s(literal 1 binary64))>
#<alt (-.f64 x #s(literal 1 binary64))>
#<alt (-.f64 x #s(literal 1 binary64))>
#<alt x>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))>
#<alt (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))>
#<alt (pow.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))>
#<alt (pow.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))>
#<alt (pow.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))>
#<alt (pow.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))>
#<alt (pow.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))>
#<alt (pow.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))>
#<alt (pow.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))>
#<alt (pow.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))>
#<alt (exp.f64 #s(literal -1 binary64))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64)))))))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(literal -1 binary64))))))))>
#<alt (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (exp.f64 #s(literal -1 binary64))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64)))))))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(literal -1 binary64))))))))>
#<alt (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))>

Calls

33 calls:

Time	Variable		Point	Expression
40.0ms	x	@	-inf	(+ (* x x) -1)
2.0ms	x	@	inf	(pow (pow (exp (+ (* x x) -1)) 3) 1/3)
1.0ms	x	@	0	(pow (E) (+ (* x x) -1))
1.0ms	x	@	0	(pow (exp (+ x -1)) (+ x 1))
1.0ms	x	@	0	(pow (exp (+ (* x x) -1)) 3)

rewrite205.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1152×	`log1p-expm1-u`
766×	`expm1-log1p-u`
433×	`prod-diff`
120×	`pow1`
119×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	216
1	326	196
2	3853	196

Stop Event

1×	node limit

Counts

13 → 514

Calls

Call 1

Inputs
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(E.f64)
(fma.f64 x x #s(literal -1 binary64))
(exp.f64 #s(literal -1 binary64))
(expm1.f64 (fma.f64 x x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(exp.f64 (+.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal -1 binary64))
(+.f64 x #s(literal 1 binary64))
(pow.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))

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

eval107.0ms (2.2%)

Compiler: Compiled 10567 to 1360 computations (87.1% saved)

prune80.0ms (1.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	773	5	778
Fresh	0	0	0
Picked	4	1	5
Done	0	1	1
Total	777	7	784

Accuracy

100.0%

Counts

784 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
▶	100.0%	(pow.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
▶	100.0%	(pow.f64 (E.f64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
▶	57.1%	(/.f64 #s(literal 1 binary64) (E.f64))
▶	100.0%	(+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) x))))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))

Compiler

Compiled 122 to 96 computations (21.3% saved)

localize412.0ms (8.6%)

Algorithm

1×	egg-herbie

Localize:

Found 36 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	6144	(fma.f64 x x #s(literal -1 binary64))
✓	cost-diff	12864	(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64))
✓	cost-diff	12864	(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))
✓	cost-diff	25792	(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(exp.f64 (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	64	(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
✓	cost-diff	-6016	(expm1.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) x)))
✓	cost-diff	-5888	(+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) x))))
✓	cost-diff	0	(*.f64 (+.f64 x #s(literal -1 binary64)) x)
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	-6272	(/.f64 #s(literal 1 binary64) (E.f64))
✓	cost-diff	0	(E.f64)
✓	cost-diff	-6080	(pow.f64 (E.f64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(E.f64)
✓	accuracy	100.0%	(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64))
✓	accuracy	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	accuracy	100.0%	(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
✓	accuracy	99.1%	(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(exp.f64 (+.f64 x #s(literal -1 binary64)))
✓	accuracy	100.0%	(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
✓	accuracy	100.0%	(pow.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) x))))
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal -1 binary64)) x)
✓	accuracy	100.0%	(+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) x))
✓	accuracy	100.0%	(expm1.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) x)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (E.f64))
✓	accuracy	100.0%	(E.f64)
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(E.f64)
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	100.0%	(pow.f64 (E.f64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))

Rules

647×	`fma-define`
570×	`fma-neg`
515×	`distribute-lft-in`
484×	`distribute-rgt-in`
469×	`associate-+r+`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	540
1	67	517
2	157	419
3	371	419
4	1198	391
5	6339	391

Stop Event

1×	node limit

Calls

Call 1

Inputs
(pow.f64 (E.f64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(E.f64)
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) x))))
#s(literal 1 binary64)
(expm1.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) x)))
(+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) x))
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(*.f64 (+.f64 x #s(literal -1 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(exp.f64 (+.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal 2 binary64)
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 1/3 binary64)

Outputs
(pow.f64 (E.f64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(E.f64)
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (E.f64))
(exp.f64 #s(literal -1 binary64))
#s(literal 1 binary64)
(E.f64)
(+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) x))))
(pow.f64 (E.f64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
#s(literal 1 binary64)
(expm1.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) x)))
(expm1.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(expm1.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(expm1.f64 (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(*.f64 (+.f64 x #s(literal -1 binary64)) x)
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(exp.f64 (+.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal 2 binary64)
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (E.f64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (E.f64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
x
#s(literal -1 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 1/3 binary64)

Results

293.0ms

256×

valid

Compiler

Compiled 163 to 28 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 250.0ms

ival-exp: 181.0ms (72.4% of total)

ival-pow: 40.0ms (16% of total)

ival-add: 11.0ms (4.4% of total)

ival-mult: 5.0ms (2% of total)

ival-fma: 3.0ms (1.2% of total)

ival-div: 2.0ms (0.8% of total)

ival-e: 2.0ms (0.8% of total)

ival-expm1: 2.0ms (0.8% of total)

ival-sqrt: 2.0ms (0.8% of total)

const: 1.0ms (0.4% of total)

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

series43.0ms (0.9%)

Counts

19 → 204

Calls

Call 1

Inputs
#<alt (pow.f64 (E.f64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))>
#<alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))>
#<alt (E.f64)>
#<alt (+.f64 x #s(literal -1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (E.f64))>
#<alt (expm1.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) x)))>
#<alt (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) x))>
#<alt (*.f64 (+.f64 x #s(literal -1 binary64)) x)>
#<alt (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) x))))>
#<alt (pow.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))>
#<alt (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))>
#<alt (exp.f64 (+.f64 x #s(literal -1 binary64)))>
#<alt (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))>
#<alt (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))>
#<alt (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))>
#<alt (exp.f64 (fma.f64 x x #s(literal -1 binary64)))>
#<alt (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (fma.f64 x x #s(literal -1 binary64))>

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

Calls

51 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	(pow (pow (exp (+ x -1)) 2) (* (+ x 1) 1/2))
1.0ms	x	@	-inf	(* (+ x 1) (+ x -1))
0.0ms	x	@	-inf	(* (+ x 1) 1/2)
0.0ms	x	@	0	(pow (pow (sqrt (exp (+ (* x x) -1))) 2) 3)
0.0ms	x	@	0	(pow (E) (* (+ x 1) (+ x -1)))

rewrite285.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

933×	`log1p-expm1-u`
210×	`expm1-log1p-u`
201×	`add-exp-log`
200×	`pow1`
199×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	437
1	502	300
2	6615	300

Stop Event

1×	node limit

Counts

19 → 898

Calls

Call 1

Inputs
(pow.f64 (E.f64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(E.f64)
(+.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (E.f64))
(expm1.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) x)))
(+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) x))
(*.f64 (+.f64 x #s(literal -1 binary64)) x)
(+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) x))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(exp.f64 (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64))
(+.f64 x #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))

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

eval288.0ms (6%)

Compiler: Compiled 21131 to 3084 computations (85.4% saved)

prune269.0ms (5.6%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1311	2	1313
Fresh	0	0	0
Picked	2	3	5
Done	0	2	2
Total	1313	7	1320

Accuracy

100.0%

Counts

1320 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
▶	100.0%	(pow.f64 (exp.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
✓	100.0%	(pow.f64 (E.f64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
✓	57.1%	(/.f64 #s(literal 1 binary64) (E.f64))
✓	100.0%	(+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) x))))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))

Compiler

Compiled 72 to 57 computations (20.8% saved)

localize190.0ms (4%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	6720	(pow.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
✓	cost-diff	6720	(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64))
✓	cost-diff	19648	(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	-6272	(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
✓	cost-diff	-6272	(exp.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	100.0%	(exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
✓	accuracy	100.0%	(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
✓	accuracy	99.1%	(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
✓	accuracy	100.0%	(exp.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(pow.f64 (exp.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))

Rules

376×	`associate--l-`
370×	`exp-sum`
369×	`fma-neg`
367×	`times-frac`
340×	`associate--r-`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	400
1	50	330
2	132	310
3	289	310
4	815	250
5	3009	250

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(pow.f64 (exp.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(exp.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal 2 binary64)
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))
(exp.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(sqrt.f64 (exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 1/3 binary64)

Results

107.0ms

256×

valid

Compiler

Compiled 116 to 20 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-pow: 29.0ms (61.8% of total)

ival-mult: 6.0ms (12.8% of total)

ival-exp: 4.0ms (8.5% of total)

ival-sqrt: 4.0ms (8.5% of total)

ival-add: 3.0ms (6.4% of total)

const: 1.0ms (2.1% of total)

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

series19.0ms (0.4%)

Counts

11 → 132

Calls

Call 1

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

Outputs
#<alt (exp.f64 #s(literal -1 binary64))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64)))))))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(literal -1 binary64))))))))>
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (exp.f64 #s(literal -2 binary64))>
#<alt (+.f64 (exp.f64 #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (.f64 x (exp.f64 #s(literal -2 binary64)))))>
#<alt (+.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (exp.f64 #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x (exp.f64 #s(literal -2 binary64)))))))>
#<alt (+.f64 (exp.f64 #s(literal -2 binary64)) (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (exp.f64 #s(literal -2 binary64))) (.f64 x (+.f64 (.f64 #s(literal 4/3 binary64) (.f64 x (exp.f64 #s(literal -2 binary64)))) (.f64 #s(literal 2 binary64) (exp.f64 #s(literal -2 binary64))))))))>
#<alt (exp.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))>
#<alt (exp.f64 (.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))>
#<alt (exp.f64 (.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))>
#<alt (exp.f64 (.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))>
#<alt #s(literal -2 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 x (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))>
#<alt (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))>
#<alt (pow.f64 (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))>
#<alt (pow.f64 (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))>
#<alt (pow.f64 (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))>
#<alt (pow.f64 (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))>
#<alt (pow.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))) #s(literal 3 binary64))>
#<alt (pow.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))) #s(literal 3 binary64))>
#<alt (pow.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))) #s(literal 3 binary64))>
#<alt (pow.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))))) #s(literal 3 binary64))>
#<alt (exp.f64 #s(literal -1 binary64))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64)))))))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(literal -1 binary64))))))))>
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (exp.f64 #s(literal -1 binary64))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64)))))))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(literal -1 binary64))))))))>
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 x #s(literal 1 binary64))>
#<alt (-.f64 x #s(literal 1 binary64))>
#<alt (-.f64 x #s(literal 1 binary64))>
#<alt x>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (exp.f64 #s(literal -1 binary64))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64)))))))>
#<alt (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(literal -1 binary64))))))))>
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))>
#<alt (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>
#<alt (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))))>

Calls

33 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(* (+ x 1) (+ x -1))
1.0ms	x	@	0	(pow (exp (* (+ x -1) 2)) (* (+ x 1) 1/2))
1.0ms	x	@	-inf	(pow (pow (sqrt (exp (* (+ x 1) (+ x -1)))) 2) 3)
1.0ms	x	@	inf	(pow (pow (sqrt (exp (* (+ x 1) (+ x -1)))) 2) 3)
0.0ms	x	@	0	(pow (pow (sqrt (exp (* (+ x 1) (+ x -1)))) 2) 3)

rewrite190.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

660×	`log1p-expm1-u`
660×	`expm1-log1p-u`
585×	`log-prod`
352×	`fma-define`
299×	`prod-diff`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	296
1	310	188
2	3619	176

Stop Event

1×	node limit

Counts

11 → 450

Calls

Call 1

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

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

eval122.0ms (2.6%)

Compiler: Compiled 12118 to 2580 computations (78.7% saved)

prune69.0ms (1.4%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	689	0	689
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	689	7	696

Accuracy

100.0%

Counts

696 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
✓	100.0%	(pow.f64 (exp.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
✓	100.0%	(pow.f64 (E.f64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
✓	57.1%	(/.f64 #s(literal 1 binary64) (E.f64))
✓	100.0%	(+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) x))))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))

Compiler

Compiled 193 to 105 computations (45.6% saved)

regimes22.0ms (0.5%)

Counts

14 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (E.f64))
(exp.f64 #s(literal -1 binary64))
(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(pow.f64 (E.f64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) x))))
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))

Outputs
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))

Calls

5 calls:

6.0ms	(*.f64 x x)
5.0ms	x
4.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
4.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
3.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
100.0%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
100.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes16.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (E.f64))
(exp.f64 #s(literal -1 binary64))
(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(pow.f64 (E.f64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) x))))

Outputs
(pow.f64 (E.f64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))

Calls

5 calls:

7.0ms	(*.f64 x x)
2.0ms	x
2.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
2.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
2.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
100.0%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
100.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes11.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (E.f64))
(exp.f64 #s(literal -1 binary64))
(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Outputs
(exp.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))

Calls

5 calls:

4.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
2.0ms	x
2.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
2.0ms	(*.f64 x x)
2.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
100.0%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
100.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (E.f64))
(exp.f64 #s(literal -1 binary64))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
57.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

soundness528.0ms (11%)

Rules

1152×	`log1p-expm1-u`
949×	`exp-sum`
778×	`fma-neg`
766×	`expm1-log1p-u`
470×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	216
1	326	196
2	3853	196
0	17	112
1	46	96
2	92	96
3	178	80
4	325	80
5	500	80
6	750	80
7	1167	80
8	2054	80
9	3725	80
10	7422	80
0	10	44
1	102	44
2	1241	44

Stop Event

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

Compiler

Compiled 161 to 72 computations (55.3% saved)

preprocess56.0ms (1.2%)

Remove: (abs x)
Compiler: Compiled 108 to 70 computations (35.2% saved)

exp neg sub

analyze0.0ms (0%)

sample1.0s (21.3%)

preprocess127.0ms (2.7%)

explain66.0ms (1.4%)

eval2.0ms (0.1%)

prune1.0ms (0%)

localize126.0ms (2.6%)

series4.0ms (0.1%)

rewrite225.0ms (4.7%)

eval23.0ms (0.5%)

prune22.0ms (0.5%)

localize193.0ms (4%)

series59.0ms (1.2%)

rewrite205.0ms (4.3%)

eval107.0ms (2.2%)

prune80.0ms (1.7%)

localize412.0ms (8.6%)

series43.0ms (0.9%)

rewrite285.0ms (6%)

eval288.0ms (6%)

prune269.0ms (5.6%)

localize190.0ms (4%)

series19.0ms (0.4%)

rewrite190.0ms (4%)

eval122.0ms (2.6%)

prune69.0ms (1.4%)

regimes22.0ms (0.5%)

regimes16.0ms (0.3%)

regimes11.0ms (0.2%)

regimes2.0ms (0%)

soundness528.0ms (11%)

preprocess56.0ms (1.2%)

end0.0ms (0%)

Profiling