Details

analyze168.0ms (5.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
28.6%	25%	62.5%	0%	0%	0%	12.5%	4
30.8%	25%	56.2%	0%	0%	0%	18.7%	5
36%	28.1%	50%	0%	0%	0%	21.9%	6
38.8%	29.7%	46.9%	0%	0%	0%	23.4%	7
40.2%	30.5%	45.3%	0%	0%	0%	24.2%	8
40.7%	30.8%	44.9%	0%	0%	0%	24.2%	9
41.2%	31.2%	44.5%	0%	0%	0%	24.2%	10
41.4%	31.3%	44.4%	0%	0%	0%	24.2%	11
41.5%	31.4%	44.3%	0%	0%	0%	24.3%	12

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample2.1s (70.3%)

Results

1.1s	2833×	body	1024	valid
394.0ms	3812×	body	256	valid
347.0ms	1325×	body	512	valid
168.0ms	286×	body	2048	valid
7.0ms	61×	body	256	infinite
0.0ms	5×	body	256	unsamplable

Bogosity

preprocess96.0ms (3.3%)

Algorithm

2×	egg-herbie

Rules

1440×	`associate-/l*`
1382×	`associate-r`
1160×	`associate-/r*`
968×	`associate-l`
702×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	27	25
2	36	25
3	62	25
4	135	21
5	349	15
6	1238	15
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))

Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify33.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1440×	`associate-/l*`
1382×	`associate-r`
1160×	`associate-/r*`
968×	`associate-l`
702×	`fma-def`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	27	25
2	36	25
3	62	25
4	135	21
5	349	15
6	1238	15

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))

Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))

eval1.0ms (0%)

Compiler: Compiled 41 to 29 computations (29.3% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	1	6

Error

0.0b

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 6 to 5 computations (16.7% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 14 to 8 computations (42.9% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0ms	x	@	inf	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0ms	x	@	-inf	(sqrt.f64 (+.f64 1 (exp.f64 x)))

rewrite157.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1470×	`add-sqr-sqrt`
1452×	`*-un-lft-identity`
1352×	`add-cube-cbrt`
1340×	`add-cbrt-cube`
1328×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	156	15
2	1851	15

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))))

simplify68.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1372×	`associate-l`
910×	`fma-def`
666×	`associate-/l*`
610×	`times-frac`
574×	`*-commutative`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	93	1011
1	223	837
2	603	733
3	1553	645
4	5904	633

Stop Event

1×	node limit

Counts

29 → 51

Calls

Call 1

Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(-.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1)
(*.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 1 1/2) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(fabs.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))

Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (.f64 x x))) (/.f64 x (sqrt.f64 2)))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (.f64 x x))) (sqrt.f64 2))
(fma.f64 1/2 (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (.f64 x (*.f64 x 3/8)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (+.f64 1/6 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (pow.f64 x 3))) (.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (.f64 x x))) (/.f64 (*.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))))
(fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (fma.f64 (/.f64 3/16 (sqrt.f64 2)) (.f64 x x) (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 7/96 (pow.f64 x 3))))))
(+.f64 (sqrt.f64 2) (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (.f64 (.f64 x x) (+.f64 3/8 (.f64 x 7/96))))))
(-.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1)
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3/2)
(*.f64 (pow.f64 1 1/2) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3/2)
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3)
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(fabs.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))

eval14.0ms (0.5%)

Compiler: Compiled 685 to 517 computations (24.5% saved)

prune32.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Error

Counts

52 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	17.0b	(sqrt.f64 2)

Compiler

Compiled 15 to 13 computations (13.3% saved)

localize2.0ms (0.1%)

Compiler: Compiled 4 to 4 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(sqrt.f64 (exp.f64 x))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(sqrt.f64 (exp.f64 x))
0.0ms	x	@	-inf	(sqrt.f64 (exp.f64 x))
0.0ms	x	@	inf	(sqrt.f64 (exp.f64 x))

rewrite52.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1152×	`associate-r`
844×	`add-sqr-sqrt`
830×	`*-un-lft-identity`
782×	`pow1`
770×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	95	9
2	1083	9

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

Inputs
(sqrt.f64 (exp.f64 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 x)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 x) 1/4) (pow.f64 (exp.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (exp.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (exp.f64 x) 1/4) (sqrt.f64 (pow.f64 (exp.f64 x) 1/4))) (sqrt.f64 (pow.f64 (exp.f64 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (exp.f64 x) 1/4) (cbrt.f64 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (exp.f64 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (exp.f64 x) 1/4) (sqrt.f64 (cbrt.f64 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (cbrt.f64 (exp.f64 x))))) (cbrt.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) 1/4))) (cbrt.f64 (pow.f64 (exp.f64 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (exp.f64 x)) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 1 1/2) 1) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 1 1/2) (pow.f64 (exp.f64 x) 1/4)) (pow.f64 (exp.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 1 1/2) (cbrt.f64 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 1 1/2) (cbrt.f64 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 1 1/2) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1/2)) (pow.f64 (cbrt.f64 (exp.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 x))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) 1/4) (pow.f64 (exp.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (exp.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (exp.f64 x) 1/4) (sqrt.f64 (pow.f64 (exp.f64 x) 1/4))) (sqrt.f64 (pow.f64 (exp.f64 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (exp.f64 x) 1/4) (cbrt.f64 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (exp.f64 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (exp.f64 x) 1/4) (sqrt.f64 (cbrt.f64 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (cbrt.f64 (exp.f64 x))))) (cbrt.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) 1/4))) (cbrt.f64 (pow.f64 (exp.f64 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/2) 1) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/2) (pow.f64 (exp.f64 x) 1/4)) (pow.f64 (exp.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/2) (cbrt.f64 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/2) (cbrt.f64 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/2) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1/2)) (pow.f64 (cbrt.f64 (exp.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 x))))))))

simplify76.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1278×	`associate-*r/`
1006×	`*-commutative`
858×	`fma-def`
768×	`associate--r+`
674×	`unswap-sqr`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	105	1052
1	256	898
2	545	874
3	1985	762
4	3726	760
5	6532	760

Stop Event

1×	node limit

Counts

44 → 66

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/48 (pow.f64 x 3)))))
(-.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) 1)
(*.f64 (sqrt.f64 (exp.f64 x)) 1)
(*.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 1 1/2))
(*.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (exp.f64 x) 1/4) (pow.f64 (exp.f64 x) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (exp.f64 x)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1/2))
(.f64 (.f64 (pow.f64 (exp.f64 x) 1/4) (sqrt.f64 (pow.f64 (exp.f64 x) 1/4))) (sqrt.f64 (pow.f64 (exp.f64 x) 1/4)))
(.f64 (.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (sqrt.f64 (exp.f64 x)))
(.f64 (.f64 (pow.f64 (exp.f64 x) 1/4) (cbrt.f64 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (exp.f64 x) 1/4)))
(.f64 (.f64 (pow.f64 (exp.f64 x) 1/4) (sqrt.f64 (cbrt.f64 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (exp.f64 x))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (cbrt.f64 (exp.f64 x))))) (cbrt.f64 (cbrt.f64 (exp.f64 x))))
(.f64 (.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(.f64 (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) 1/4))) (cbrt.f64 (pow.f64 (exp.f64 x) 1/4)))
(.f64 (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(.f64 (.f64 (cbrt.f64 (exp.f64 x)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(.f64 (.f64 (pow.f64 1 1/2) 1) (sqrt.f64 (exp.f64 x)))
(.f64 (.f64 (pow.f64 1 1/2) (pow.f64 (exp.f64 x) 1/4)) (pow.f64 (exp.f64 x) 1/4))
(.f64 (.f64 (pow.f64 1 1/2) (cbrt.f64 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 x)))
(.f64 (.f64 (pow.f64 1 1/2) (cbrt.f64 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (exp.f64 x))))
(.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(.f64 (.f64 (pow.f64 1 1/2) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1/2)) (pow.f64 (cbrt.f64 (exp.f64 x)) 1/2))
(pow.f64 (exp.f64 x) 1/2)
(pow.f64 (sqrt.f64 (exp.f64 x)) 1)
(pow.f64 (pow.f64 (exp.f64 x) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (exp.f64 x) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (exp.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))
(cbrt.f64 (pow.f64 (exp.f64 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 x))))
(exp.f64 (*.f64 x 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 x))))

Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 x (fma.f64 x 1/8 1/2) 1)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/48 (pow.f64 x 3)))))
(fma.f64 1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x 1) (.f64 1/48 (pow.f64 x 3))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/48 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 1/48 (pow.f64 x 3) 1)))
(fma.f64 x (*.f64 x (fma.f64 x 1/48 1/8)) (fma.f64 1/2 x 1))
(fma.f64 x (+.f64 1/2 (*.f64 x (fma.f64 x 1/48 1/8))) 1)
(-.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) 1)
(+.f64 (sqrt.f64 (exp.f64 x)) 0)
(sqrt.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) 1)
(+.f64 (sqrt.f64 (exp.f64 x)) 0)
(sqrt.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 1 1/2))
(+.f64 (sqrt.f64 (exp.f64 x)) 0)
(sqrt.f64 (exp.f64 x))
(*.f64 1 (sqrt.f64 (exp.f64 x)))
(+.f64 (sqrt.f64 (exp.f64 x)) 0)
(sqrt.f64 (exp.f64 x))
(*.f64 (pow.f64 (exp.f64 x) 1/4) (pow.f64 (exp.f64 x) 1/4))
(+.f64 (sqrt.f64 (exp.f64 x)) 0)
(sqrt.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) (fabs.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(pow.f64 (cbrt.f64 (exp.f64 x)) 3/2)
(*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) (fabs.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(pow.f64 (cbrt.f64 (exp.f64 x)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (exp.f64 x)))
(+.f64 (sqrt.f64 (exp.f64 x)) 0)
(sqrt.f64 (exp.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (exp.f64 x)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) (fabs.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(pow.f64 (cbrt.f64 (exp.f64 x)) 3/2)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) (fabs.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(pow.f64 (cbrt.f64 (exp.f64 x)) 3/2)
(.f64 (.f64 (pow.f64 (exp.f64 x) 1/4) (sqrt.f64 (pow.f64 (exp.f64 x) 1/4))) (sqrt.f64 (pow.f64 (exp.f64 x) 1/4)))
(+.f64 (sqrt.f64 (exp.f64 x)) 0)
(sqrt.f64 (exp.f64 x))
(.f64 (.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (sqrt.f64 (exp.f64 x)))
(+.f64 (sqrt.f64 (exp.f64 x)) 0)
(sqrt.f64 (exp.f64 x))
(.f64 (.f64 (pow.f64 (exp.f64 x) 1/4) (cbrt.f64 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (exp.f64 x) 1/4)))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (.f64 (pow.f64 (exp.f64 x) 1/4) (cbrt.f64 (pow.f64 (exp.f64 x) 1/4))))
(.f64 (pow.f64 (exp.f64 x) 1/4) (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) 1/4))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/4)) (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) 5/2))
(.f64 (.f64 (pow.f64 (exp.f64 x) 1/4) (sqrt.f64 (cbrt.f64 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(.f64 (pow.f64 (exp.f64 x) 1/4) (.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))))))
(*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))) 6))
(*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))) 4))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (cbrt.f64 (exp.f64 x))))) (cbrt.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x)))
(.f64 (.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x)))
(.f64 (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) 1/4))) (cbrt.f64 (pow.f64 (exp.f64 x) 1/4)))
(.f64 (cbrt.f64 (exp.f64 x)) (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/4)) (cbrt.f64 (pow.f64 (exp.f64 x) 1/4))))
(.f64 (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(.f64 (cbrt.f64 (exp.f64 x)) (.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 4) (cbrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(.f64 (.f64 (cbrt.f64 (exp.f64 x)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x)))
(.f64 (.f64 (pow.f64 1 1/2) 1) (sqrt.f64 (exp.f64 x)))
(+.f64 (sqrt.f64 (exp.f64 x)) 0)
(sqrt.f64 (exp.f64 x))
(.f64 (.f64 (pow.f64 1 1/2) (pow.f64 (exp.f64 x) 1/4)) (pow.f64 (exp.f64 x) 1/4))
(+.f64 (sqrt.f64 (exp.f64 x)) 0)
(sqrt.f64 (exp.f64 x))
(.f64 (.f64 (pow.f64 1 1/2) (cbrt.f64 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x)))
(.f64 (.f64 (pow.f64 1 1/2) (cbrt.f64 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x)))
(.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) (fabs.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(pow.f64 (cbrt.f64 (exp.f64 x)) 3/2)
(.f64 (.f64 (pow.f64 1 1/2) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1/2)) (pow.f64 (cbrt.f64 (exp.f64 x)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) (fabs.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(pow.f64 (cbrt.f64 (exp.f64 x)) 3/2)
(pow.f64 (exp.f64 x) 1/2)
(+.f64 (sqrt.f64 (exp.f64 x)) 0)
(sqrt.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (exp.f64 x)) 1)
(+.f64 (sqrt.f64 (exp.f64 x)) 0)
(sqrt.f64 (exp.f64 x))
(pow.f64 (pow.f64 (exp.f64 x) 1/4) 2)
(+.f64 (sqrt.f64 (exp.f64 x)) 0)
(sqrt.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) 3)
(+.f64 (sqrt.f64 (exp.f64 x)) 0)
(sqrt.f64 (exp.f64 x))
(pow.f64 (pow.f64 (exp.f64 x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 x) 3/2))
(fabs.f64 (sqrt.f64 (exp.f64 x)))
(+.f64 (sqrt.f64 (exp.f64 x)) 0)
(sqrt.f64 (exp.f64 x))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))
(+.f64 (sqrt.f64 (exp.f64 x)) 0)
(sqrt.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (exp.f64 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 x))))
(+.f64 (sqrt.f64 (exp.f64 x)) 0)
(sqrt.f64 (exp.f64 x))
(exp.f64 (*.f64 x 1/2))
(+.f64 (sqrt.f64 (exp.f64 x)) 0)
(sqrt.f64 (exp.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 x))))
(+.f64 (sqrt.f64 (exp.f64 x)) 0)
(sqrt.f64 (exp.f64 x))

eval18.0ms (0.6%)

Compiler: Compiled 813 to 448 computations (44.9% saved)

prune8.0ms (0.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	65	4	69

Error

Counts

69 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.9b	(hypot.f64 1 (+.f64 (*.f64 1/2 x) 1))
▶	0b	(hypot.f64 1 (exp.f64 (*.f64 x 1/2)))
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	17.0b	(sqrt.f64 2)

Compiler

Compiled 24 to 21 computations (12.5% saved)

localize9.0ms (0.3%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

localize8.0ms (0.3%)

Compiler: Compiled 19 to 15 computations (21.1% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.9b	(hypot.f64 1 (+.f64 (*.f64 1/2 x) 1))
✓	0b	(hypot.f64 1 (exp.f64 (*.f64 x 1/2)))
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	17.0b	(sqrt.f64 2)

Compiler

Compiled 24 to 21 computations (12.5% saved)

regimes13.0ms (0.4%)

Counts

6 → 1

Calls

Call 1

Inputs
(sqrt.f64 2)
(hypot.f64 1 (+.f64 (*.f64 1/2 x) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (exp.f64 (*.f64 x 1/2)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))

Outputs
(hypot.f64 1 (exp.f64 (*.f64 x 1/2)))

Calls

3 calls:

5.0ms	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
4.0ms	x
2.0ms	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))`
0b	1	`(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))`

Compiler

Compiled 65 to 52 computations (20% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(sqrt.f64 2)
(hypot.f64 1 (+.f64 (*.f64 1/2 x) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))

Outputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.0b	1	`x`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes5.0ms (0.2%)

Accuracy

Total -3.2b remaining (-18.6%)

Threshold costs -3.2b (-18.6%)

Counts

2 → 1

Calls

Call 1

Inputs
(sqrt.f64 2)
(hypot.f64 1 (+.f64 (*.f64 1/2 x) 1))

Outputs
(sqrt.f64 2)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
17.0b	1	`x`

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`+-commutative`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	18	37

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(hypot.f64 1 (exp.f64 (*.f64 x 1/2)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)

Outputs
(hypot.f64 1 (exp.f64 (*.f64 x 1/2)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)

Compiler

Compiled 16 to 14 computations (12.5% saved)

soundness69.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1440×	`associate-/l*`
1382×	`associate-r`
1160×	`associate-/r*`
968×	`associate-l`
702×	`fma-def`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	27	25
2	36	25
3	62	25
4	135	21
5	349	15
6	1238	15

Stop Event

1×	node limit

Compiler

Compiled 85 to 56 computations (34.1% saved)

end27.0ms (0.9%)

Compiler: Compiled 14 to 12 computations (14.3% saved)

Details

analyze168.0ms (5.7%)

sample2.1s (70.3%)

preprocess96.0ms (3.3%)

simplify33.0ms (1.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite157.0ms (5.3%)

simplify68.0ms (2.3%)

eval14.0ms (0.5%)

prune32.0ms (1.1%)

localize2.0ms (0.1%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite52.0ms (1.8%)

simplify76.0ms (2.6%)

eval18.0ms (0.6%)

prune8.0ms (0.3%)

localize9.0ms (0.3%)

localize8.0ms (0.3%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes13.0ms (0.4%)

regimes4.0ms (0.1%)

regimes5.0ms (0.2%)

simplify4.0ms (0.1%)

soundness69.0ms (2.3%)

end27.0ms (0.9%)

Profiling