Metrics for Expanding a square

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 11 to 9 computations (18.2% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample1.1s (36.6%)

Results

198.0ms	4237×	0	valid
456.0ms	4019×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 409.0ms

ival-add: 143.0ms (35% of total)

backward-pass: 90.0ms (22% of total)

ival-mult: 88.0ms (21.5% of total)

ival-sub: 64.0ms (15.7% of total)

const: 23.0ms (5.6% of total)

Bogosity

preprocess330.0ms (10.5%)

Algorithm

1×	egg-herbie

Rules

3207×	`fma-neg`
1104×	`unsub-neg`
506×	`distribute-neg-in`
429×	`sub-neg`
304×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	128
1	51	108
2	146	88
3	488	76
4	2177	76
5	3792	76
6	4939	76
7	5788	76
8	6213	76
9	6453	76
10	6456	76
11	6456	76
12	6577	76
13	6664	76
14	6837	76
15	6837	76

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 0 binary64)))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 0 binary64)))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(-.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 x #s(literal -2 binary64)))
(neg.f64 (-.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)))
(neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 (-.f64 #s(literal 2 binary64) x)))
(*.f64 x (-.f64 #s(literal 2 binary64) x))

explain112.0ms (3.6%)

FPErrors

Click to see full error table

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

Results

58.0ms	262×	1	valid
20.0ms	250×	0	valid

Compiler

Compiled 56 to 42 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-add: 24.0ms (44.4% of total)

backward-pass: 14.0ms (25.9% of total)

ival-mult: 10.0ms (18.5% of total)

ival-sub: 4.0ms (7.4% of total)

const: 3.0ms (5.5% of total)

eval0.0ms (0%)

Compiler: Compiled 21 to 15 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.1%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	100.0%	(*.f64 x (+.f64 x #s(literal 2 binary64)))

Compiler

Compiled 16 to 12 computations (25% saved)

localize141.0ms (4.5%)

Algorithm

2×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	256	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x (+.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	51.1%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal 2 binary64)))

Rules

891×	`fma-neg`
854×	`fma-define`
590×	`distribute-lft-in`
547×	`associate--r-`
526×	`distribute-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
1	15	34
2	20	34
3	22	34
0	9	67
1	30	65
2	63	59
3	143	55
4	581	55
5	2030	55
6	5449	55
7	7803	55

Stop Event

1×	node limit
1×	saturated

Calls

Call 1

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

Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 0 binary64)))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)

Call 2

Inputs
(*.f64 x (+.f64 x #s(literal 2 binary64)))
x
(+.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

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

Results

34.0ms	131×	1	valid
13.0ms	125×	0	valid

Compiler

Compiled 33 to 23 computations (30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-add: 12.0ms (39.4% of total)

ival-mult: 7.0ms (23% of total)

backward-pass: 7.0ms (23% of total)

const: 2.0ms (6.6% of total)

ival-sub: 2.0ms (6.6% of total)

series6.0ms (0.2%)

Counts

5 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite225.0ms (7.2%)

Algorithm

1×	batch-egg-rewrite

Rules

765×	`log1p-expm1-u`
765×	`expm1-log1p-u`
437×	`prod-diff`
425×	`fma-define`
319×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	74
1	178	72
2	2566	72

Stop Event

1×	node limit

Counts

5 → 372

Calls

Call 1

Inputs
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(+.f64 x #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))

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

simplify152.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

561×	`times-frac`
509×	`associate-+r+`
490×	`fma-neg`
487×	`cancel-sign-sub-inv`
222×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	550	12518
1	1229	10969
2	3474	10714

Stop Event

1×	node limit

Counts

432 → 376

Calls

Call 1

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

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

eval89.0ms (2.8%)

Compiler: Compiled 6225 to 4538 computations (27.1% saved)

prune60.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	440	3	443
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	441	4	445

Accuracy

100.0%

Counts

445 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
✓	100.0%	(*.f64 x (+.f64 x #s(literal 2 binary64)))
▶	49.9%	(*.f64 x x)
▶	53.3%	(*.f64 x #s(literal 2 binary64))

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize47.0ms (1.5%)

Algorithm

3×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	6400	(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))

Rules

2×	`*-commutative`
2×	`fma-define`
2×	`+-commutative`
2×	`distribute-lft-out`
1×	`fma-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	8	15
0	6	17
0	9	39
1	12	34
2	15	34
3	20	34

Stop Event

1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
x
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

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

Call 2

Inputs
(*.f64 x x)
x

Outputs
(*.f64 x x)
x

Call 3

Inputs
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)

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

Results

21.0ms

256×

valid

Compiler

Compiled 22 to 12 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (58.9% of total)

ival-fma: 3.0ms (29.5% of total)

const: 1.0ms (9.8% of total)

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

series4.0ms (0.1%)

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (*.f64 x x)>
#<alt (fma.f64 x x (*.f64 x #s(literal 2 binary64)))>

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

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* x 2)
0.0ms	x	@	-inf	(* x 2)
0.0ms	x	@	0	(* x 2)
0.0ms	x	@	0	(* x x)
0.0ms	x	@	inf	(* x x)

rewrite73.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

321×	`log1p-expm1-u`
321×	`expm1-log1p-u`
310×	`add-exp-log`
309×	`unpow-prod-down`
297×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	86	39
2	938	39

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))

Outputs
(+.f64 x x)
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.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 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (log.f64 (E.f64)))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 2 binary64))))
(.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (+.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 5/2 binary64))) (pow.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 5 binary64))) (pow.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (+.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 x (+.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))

simplify86.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

609×	`fma-neg`
577×	`prod-exp`
484×	`fma-define`
479×	`distribute-lft-in`
447×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	226	4294969885
1	384	4294969839
2	1015	4294969819
3	5501	4294969819

Stop Event

1×	node limit

Counts

123 → 111

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 x x)
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.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 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (log.f64 (E.f64)))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 2 binary64))))
(.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (+.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 5/2 binary64))) (pow.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 5 binary64))) (pow.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (+.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 x (+.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))

Outputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
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eval36.0ms (1.2%)

Compiler: Compiled 1449 to 1077 computations (25.7% saved)

prune21.0ms (0.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	136	4	140

Accuracy

100.0%

Counts

140 → 4

Alt Table

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Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
✓	100.0%	(*.f64 x (+.f64 x #s(literal 2 binary64)))
✓	49.9%	(*.f64 x x)
✓	53.3%	(*.f64 x #s(literal 2 binary64))

Compiler

Compiled 48 to 30 computations (37.5% saved)

regimes8.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))

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

Calls

4 calls:

4.0ms	x
1.0ms	(+.f64 x #s(literal 1 binary64))
1.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
1.0ms	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))

Results

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

Compiler

Compiled 24 to 18 computations (25% saved)

regimes5.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))

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

Calls

4 calls:

2.0ms	x
1.0ms	(+.f64 x #s(literal 1 binary64))
1.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
1.0ms	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))

Results

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

Compiler

Compiled 24 to 18 computations (25% saved)

regimes3.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))

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

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
53.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch29.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.3120756705431217e-11	9.378220345140293e+22
13.0ms	-40.82526496323151	-5.645364922096082e-8

Results

17.0ms

320×

valid

Compiler

Compiled 214 to 151 computations (29.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 5.0ms (51% of total)

ival-mult: 2.0ms (20.4% of total)

ival-sub: 1.0ms (10.2% of total)

const: 1.0ms (10.2% of total)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`
2×	`if-if-or-not`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	107
1	28	107

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -2 binary64)) (.f64 x x) (if (<=.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)) (*.f64 x x)))
(*.f64 x #s(literal 2 binary64))

Outputs
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -2 binary64)) (.f64 x x) (if (<=.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)) (*.f64 x x)))
(if (or (<=.f64 x #s(literal -2 binary64)) (not (<=.f64 x #s(literal 2 binary64)))) (.f64 x x) (.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))

soundness523.0ms (16.7%)

Rules

3207×	`fma-neg`
1104×	`unsub-neg`
765×	`log1p-expm1-u`
765×	`expm1-log1p-u`
506×	`distribute-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	74
1	178	72
2	2566	72
0	15	128
1	51	108
2	146	88
3	488	76
4	2177	76
5	3792	76
6	4939	76
7	5788	76
8	6213	76
9	6453	76
10	6456	76
11	6456	76
12	6577	76
13	6664	76
14	6837	76
15	6837	76

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 120 to 85 computations (29.2% saved)

preprocess27.0ms (0.9%)

Compiler: Compiled 80 to 54 computations (32.5% saved)

Expanding a square

analyze0.0ms (0%)

sample1.1s (36.6%)

preprocess330.0ms (10.5%)

explain112.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize141.0ms (4.5%)

series6.0ms (0.2%)

rewrite225.0ms (7.2%)

simplify152.0ms (4.9%)

eval89.0ms (2.8%)

prune60.0ms (1.9%)

localize47.0ms (1.5%)

series4.0ms (0.1%)

rewrite73.0ms (2.3%)

simplify86.0ms (2.8%)

eval36.0ms (1.2%)

prune21.0ms (0.7%)

regimes8.0ms (0.3%)

regimes5.0ms (0.2%)

regimes3.0ms (0.1%)

regimes1.0ms (0%)

bsearch29.0ms (0.9%)

simplify3.0ms (0.1%)

soundness523.0ms (16.7%)

preprocess27.0ms (0.9%)

end0.0ms (0%)

Profiling