Details

analyze7.0ms (0.3%)

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
62.5%	62.5%	37.5%	0%	0%	0%	0%	4
78.6%	68.7%	18.7%	0%	12.5%	0%	0%	5
88.5%	71.8%	9.4%	0%	18.7%	0%	0%	6
94%	73.4%	4.7%	0%	21.9%	0%	0%	7
96.9%	74.2%	2.3%	0%	23.4%	0%	0%	8
98.5%	74.6%	1.2%	0%	24.2%	0%	0%	9
99.2%	75%	0.6%	0%	24.4%	0%	0%	10
99.6%	75.1%	0.3%	0%	24.6%	0%	0%	11
99.8%	75.1%	0.1%	0%	24.7%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.7s (64.9%)

Results

1.0s	2777×	body	1024	valid
334.0ms	3784×	body	256	valid
254.0ms	1394×	body	512	valid
89.0ms	301×	body	2048	valid
1.0ms	7×	body	256	infinite

Bogosity

preprocess28.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

95×	`fma-def_binary64`
80×	`fma-neg_binary64`
32×	`distribute-rgt-in_binary64`
28×	`cancel-sign-sub-inv_binary64`
26×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	145	6
9	223	6
10	352	6
11	511	6
12	583	6
13	619	6
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (-.f64 (exp.f64 x) 1) x)

Outputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)

Compiler

Compiled 8 to 6 computations (25% saved)

simplify17.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

95×	`fma-def_binary64`
80×	`fma-neg_binary64`
32×	`distribute-rgt-in_binary64`
28×	`cancel-sign-sub-inv_binary64`
26×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	145	6
9	223	6
10	352	6
11	511	6
12	583	6
13	619	6

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) 1) x)

Outputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)

eval1.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 5 to 3 computations (40% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 8 to 3 computations (62.5% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (expm1.f64 x) x)
1.0ms	x	@	inf	(/.f64 (expm1.f64 x) x)
1.0ms	x	@	0	(/.f64 (expm1.f64 x) x)

rewrite38.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

449×	`pow1_binary64`
430×	`add-sqr-sqrt_binary64`
424×	`*-un-lft-identity_binary64`
417×	`add-log-exp_binary64`
417×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	83	6
2	1104	6

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)

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

Outputs

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

simplify39.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

705×	`fma-def_binary64`
406×	`log-prod_binary64`
287×	`log-div_binary64`
274×	`fma-neg_binary64`
269×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	293
1	229	291
2	782	291
3	4142	285

Stop Event

1×	node limit

Counts

43 → 46

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(-.f64 (/.f64 (exp.f64 x) x) (pow.f64 x -1))
(*.f64 (expm1.f64 x) (pow.f64 x -1))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 x -1)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 x -1)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (pow.f64 x -1) (expm1.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))

Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) 1))
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 x (fma.f64 x 1/6 1/2) (fma.f64 1/24 (pow.f64 x 3) 1))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(/.f64 (expm1.f64 x) x)
(-.f64 (/.f64 (exp.f64 x) x) (pow.f64 x -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (expm1.f64 x) (pow.f64 x -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 x -1)))
(/.f64 (expm1.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 x -1)))
(/.f64 (expm1.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 x -1) (expm1.f64 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(/.f64 (expm1.f64 x) x)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (expm1.f64 x) x)
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(/.f64 (expm1.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)

eval9.0ms (0.3%)

Compiler: Compiled 424 to 210 computations (50.5% saved)

prune7.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	43	3	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	4	47

Error

Counts

47 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (expm1.f64 x) x)
▶	18.8b	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
▶	21.4b	(+.f64 (*.f64 1/2 x) 1)
	21.2b	1

Compiler

Compiled 22 to 17 computations (22.7% saved)

localize5.0ms (0.2%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (expm1.f64 x) x)
✓	0.0b	(+.f64 1 (/.f64 (expm1.f64 x) x))
✓	2.4b	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)

Compiler

Compiled 23 to 10 computations (56.5% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
0.0ms	x	@	inf	(+.f64 1 (/.f64 (expm1.f64 x) x))
0.0ms	x	@	0	(+.f64 1 (/.f64 (expm1.f64 x) x))
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
0.0ms	x	@	-inf	(+.f64 1 (/.f64 (expm1.f64 x) x))

rewrite54.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

831×	`pow1_binary64`
779×	`add-log-exp_binary64`
779×	`log1p-expm1-u_binary64`
779×	`expm1-log1p-u_binary64`
765×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	159	15
2	2334	15

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (expm1.f64 x) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (expm1.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (expm1.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (-.f64 1 (.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (+.f64 (/.f64 (expm1.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1)) (neg.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 3)) (+.f64 1 (-.f64 (.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1)) (+.f64 (/.f64 (expm1.f64 x) x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1))) (-.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (expm1.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)))))
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Outputs

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

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

simplify54.0ms (2%)

Algorithm

1×	egg-herbie

Rules

972×	`fma-neg_binary64`
503×	`unswap-sqr_binary64`
294×	`div-sub_binary64`
279×	`distribute-rgt-neg-in_binary64`
151×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	232	1674
1	556	1473
2	2466	1473

Stop Event

1×	node limit

Counts

121 → 130

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 2))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/24 (pow.f64 x 3)))))
1
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
1
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1))
(+.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(+.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)
(+.f64 -1 (+.f64 1 (/.f64 (expm1.f64 x) x)))
(+.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1))
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1)))
(/.f64 (expm1.f64 x) x)
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))))
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (+.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1)) (neg.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1)) (+.f64 (/.f64 (expm1.f64 x) x) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1))) (-.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(fma.f64 1 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(-.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))) (/.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (-.f64 1 (/.f64 (expm1.f64 x) x))))
(*.f64 1 (+.f64 1 (/.f64 (expm1.f64 x) x)))
(*.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))) (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 (expm1.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (neg.f64 (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1) (+.f64 (/.f64 (expm1.f64 x) x) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) 1) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3))
(expm1.f64 (log.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(fma.f64 1 (/.f64 (expm1.f64 x) x) 1)
(fma.f64 (expm1.f64 x) (/.f64 1 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1)

Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
2
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 2))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 2))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (.f64 x x) 2) (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 2)))
1
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
1
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(+.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1))
(/.f64 (expm1.f64 x) x)
(+.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(/.f64 (expm1.f64 x) x)
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(+.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)
(/.f64 (expm1.f64 x) x)
(+.f64 -1 (+.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(+.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)
(/.f64 (expm1.f64 x) x)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (expm1.f64 x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (-.f64 (-.f64 -2 (/.f64 (expm1.f64 x) x)) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (/.f64 1 (+.f64 2 (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (+.f64 2 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (-.f64 (-.f64 -2 (/.f64 (expm1.f64 x) x)) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)))
(/.f64 1 (/.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (/.f64 1 (+.f64 2 (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (+.f64 2 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (-.f64 (-.f64 -2 (/.f64 (expm1.f64 x) x)) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (-.f64 (-.f64 -2 (/.f64 (expm1.f64 x) x)) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)))
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (+.f64 (/.f64 (expm1.f64 x) x) 2))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (/.f64 1 (+.f64 2 (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (+.f64 2 (/.f64 (expm1.f64 x) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1) (-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (/.f64 1 (+.f64 2 (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (+.f64 2 (/.f64 (expm1.f64 x) x)))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (-.f64 (-.f64 -2 (/.f64 (expm1.f64 x) x)) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) -1)) (neg.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (/.f64 1 (+.f64 2 (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)) (+.f64 2 (/.f64 (expm1.f64 x) x)))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1)) (+.f64 (/.f64 (expm1.f64 x) x) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 3)) (+.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (-.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 3)) (+.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1))) (-.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (-.f64 1 (/.f64 (expm1.f64 x) x)))) (-.f64 2 (/.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) (+.f64 (/.f64 (expm1.f64 x) x) -1))) (-.f64 2 (/.f64 (expm1.f64 x) x)))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(/.f64 (expm1.f64 x) x)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (expm1.f64 x) x)
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(/.f64 (expm1.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(fma.f64 1 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(/.f64 (expm1.f64 x) x)
(-.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))) (/.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(*.f64 1 (+.f64 1 (/.f64 (expm1.f64 x) x)))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))) (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 (expm1.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (neg.f64 (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1) (+.f64 (/.f64 (expm1.f64 x) x) -1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) 1) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 3)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) 1/3)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(expm1.f64 (log.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (expm1.f64 x) x))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(fma.f64 1 (/.f64 (expm1.f64 x) x) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (expm1.f64 x) (/.f64 1 x) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))

eval42.0ms (1.6%)

Compiler: Compiled 2405 to 1322 computations (45% saved)

prune22.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	174	2	176
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	175	5	180

Error

Counts

180 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (expm1.f64 x) x)
▶	21.4b	(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
✓	21.4b	(+.f64 (*.f64 1/2 x) 1)
▶	0.1b	(*.f64 (/.f64 1 x) (expm1.f64 x))
	21.2b	1

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 1 x) (expm1.f64 x))

Compiler

Compiled 14 to 8 computations (42.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 (/.f64 1 x) (expm1.f64 x))
0.0ms	x	@	0	(*.f64 (/.f64 1 x) (expm1.f64 x))
0.0ms	x	@	-inf	(*.f64 (/.f64 1 x) (expm1.f64 x))

rewrite35.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

523×	`pow1_binary64`
501×	`add-sqr-sqrt_binary64`
483×	`add-log-exp_binary64`
483×	`log1p-expm1-u_binary64`
483×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	117	6
2	1363	6

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(*.f64 (/.f64 1 x) (expm1.f64 x))

Outputs

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

simplify32.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

692×	`fma-def_binary64`
458×	`associate-/l/_binary64`
335×	`log-prod_binary64`
303×	`associate-/r/_binary64`
242×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	219
1	164	217
2	534	217
3	3067	211

Stop Event

1×	node limit

Counts

34 → 35

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (*.f64 -1 (expm1.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))

Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) 1))
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 x (fma.f64 x 1/6 1/2) (fma.f64 1/24 (pow.f64 x 3) 1))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(/.f64 (expm1.f64 x) x)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (*.f64 -1 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(/.f64 (expm1.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (expm1.f64 x) x)
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(/.f64 (expm1.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)

Compiler

Compiled 20 to 16 computations (20% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
0.0ms	x	@	0	(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)

rewrite41.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

844×	`pow1_binary64`
793×	`add-log-exp_binary64`
791×	`log1p-expm1-u_binary64`
791×	`expm1-log1p-u_binary64`
781×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	180	5
2	2220	5

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 (*.f64 1/2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (*.f64 1/2 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 1/2 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 x 1)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (+.f64 (*.f64 1/2 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1) (/.f64 1 (+.f64 (*.f64 1/2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1) (-.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (+.f64 (*.f64 1/2 x) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 3) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (+.f64 (*.f64 1/2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (-.f64 1 (*.f64 (fma.f64 1/2 x 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1) (+.f64 (*.f64 1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1) (-.f64 (fma.f64 1/2 x 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (+.f64 (*.f64 1/2 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1)) (neg.f64 (+.f64 (*.f64 1/2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) 1) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 1 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 x 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (fma.f64 1/2 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/2 x 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (fma.f64 1/2 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 (fma.f64 1/2 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) 1)))))

simplify59.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

548×	`fma-neg_binary64`
541×	`associate-/l*_binary64`
334×	`associate-l_binary64`
322×	`div-sub_binary64`
308×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	430
1	234	415
2	659	413
3	4065	403

Stop Event

1×	node limit

Counts

54 → 53

Calls

Call 1

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

Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 2 (-.f64 (*.f64 1/2 x) 1))
(fma.f64 1/2 x 1)
(+.f64 2 (+.f64 (*.f64 1/2 x) -1))
(fma.f64 1/2 x 1)
(+.f64 (fma.f64 1/2 x 2) -1)
(fma.f64 1/2 x 1)
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 -1 (fma.f64 1/2 x 2))
(fma.f64 1/2 x 1)
(*.f64 1 (fma.f64 1/2 x 1))
(fma.f64 1/2 x 1)
(*.f64 (fma.f64 1/2 x 1) 1)
(fma.f64 1/2 x 1)
(*.f64 (cbrt.f64 (fma.f64 1/2 x 1)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2))
(fma.f64 1/2 x 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)))
(fma.f64 1/2 x 1)
(*.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)))
(fma.f64 1/2 x 1)
(.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (+.f64 (.f64 1/2 x) 3))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (fma.f64 1/2 x 3))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (fma.f64 1/2 x 3)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 2) 3)) (+.f64 -1 (*.f64 (fma.f64 1/2 x 2) (fma.f64 x -1/2 -3))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (fma.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 3) 1))
(.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1) (/.f64 1 (+.f64 (.f64 1/2 x) 3)))
(fma.f64 1/2 x 1)
(*.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1) (-.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 1))
(fma.f64 1/2 x 1)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (+.f64 (*.f64 1/2 x) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (fma.f64 1/2 x 3))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (fma.f64 1/2 x 3)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 2) 3)) (+.f64 -1 (*.f64 (fma.f64 1/2 x 2) (fma.f64 x -1/2 -3))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (fma.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 3) 1))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 3) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1)))
(fma.f64 1/2 x 1)
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (+.f64 (*.f64 1/2 x) 3)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (fma.f64 1/2 x 3))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (fma.f64 1/2 x 3)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 2) 3)) (+.f64 -1 (*.f64 (fma.f64 1/2 x 2) (fma.f64 x -1/2 -3))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (fma.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 3) 1))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (-.f64 1 (*.f64 (fma.f64 1/2 x 2) -1))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (fma.f64 1/2 x 3))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (fma.f64 1/2 x 3)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 2) 3)) (+.f64 -1 (*.f64 (fma.f64 1/2 x 2) (fma.f64 x -1/2 -3))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (fma.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 3) 1))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1) (+.f64 (*.f64 1/2 x) 3))
(fma.f64 1/2 x 1)
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1) (-.f64 (fma.f64 1/2 x 2) -1))
(fma.f64 1/2 x 1)
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (+.f64 (*.f64 1/2 x) 3))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (fma.f64 1/2 x 3))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) (fma.f64 1/2 x 3)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 2) 3)) (+.f64 -1 (*.f64 (fma.f64 1/2 x 2) (fma.f64 x -1/2 -3))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 x 2) 3)) (fma.f64 (fma.f64 1/2 x 2) (fma.f64 1/2 x 3) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1)) (neg.f64 (+.f64 (*.f64 1/2 x) 3)))
(fma.f64 1/2 x 1)
(/.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) 1) (+.f64 (.f64 1/4 (.f64 x x)) (-.f64 1 (.f64 1/2 x))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) 1) (fma.f64 1/4 (.f64 x x) (+.f64 1 (.f64 -1/2 x))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) 1) (+.f64 (fma.f64 1/4 (.f64 x x) 1) (.f64 x -1/2)))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) 1) (fma.f64 x (*.f64 x 1/4) (fma.f64 x -1/2 1)))
(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))
(/.f64 (fma.f64 1/4 (*.f64 x x) -1) (fma.f64 1/2 x -1))
(/.f64 (fma.f64 x (*.f64 x 1/4) -1) (fma.f64 1/2 x -1))
(pow.f64 (fma.f64 1/2 x 1) 1)
(fma.f64 1/2 x 1)
(pow.f64 (pow.f64 (fma.f64 1/2 x 1) 3) 1/3)
(fma.f64 1/2 x 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 3)
(fma.f64 1/2 x 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x 1)) 2)
(fma.f64 1/2 x 1)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x 1) 2))
(fma.f64 1/2 x 1)
(log.f64 (exp.f64 (fma.f64 1/2 x 1)))
(fma.f64 1/2 x 1)
(cbrt.f64 (pow.f64 (fma.f64 1/2 x 1) 3))
(fma.f64 1/2 x 1)
(expm1.f64 (log.f64 (fma.f64 1/2 x 2)))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x 1)))
(fma.f64 1/2 x 1)
(exp.f64 (log1p.f64 (*.f64 1/2 x)))
(fma.f64 1/2 x 1)
(fma.f64 x 1/2 1)
(fma.f64 1/2 x 1)
(fma.f64 1 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(fma.f64 1 (fma.f64 1/2 x 2) -1)
(fma.f64 1/2 x 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (fma.f64 1/2 x 2)) -1)
(fma.f64 1/2 x 1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 x)) 2) (cbrt.f64 (.f64 1/2 x)) 1)
(fma.f64 1/2 x 1)
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 (fma.f64 1/2 x 2)) -1)
(fma.f64 1/2 x 1)
(fma.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (.f64 1/2 x)) 1)
(fma.f64 1/2 x 1)

eval22.0ms (0.8%)

Compiler: Compiled 895 to 666 computations (25.6% saved)

prune14.0ms (0.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	86	7	93

Error

Counts

93 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.6b	(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))
✓	0.0b	(/.f64 (expm1.f64 x) x)
✓	21.4b	(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
✓	21.4b	(+.f64 (*.f64 1/2 x) 1)
✓	0.1b	(*.f64 (/.f64 1 x) (expm1.f64 x))
▶	61.9b	(*.f64 1/2 x)
	21.2b	1

Compiler

Compiled 46 to 36 computations (21.7% saved)

localize3.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize14.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/4 (.f64 x x))
✓	10.2b	(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))

Compiler

Compiled 41 to 26 computations (36.6% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))
1.0ms	x	@	0	(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))
1.0ms	x	@	inf	(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))
0.0ms	x	@	inf	(.f64 1/4 (.f64 x x))
0.0ms	x	@	0	(.f64 1/4 (.f64 x x))

rewrite80.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

527×	`log-prod_binary64`
335×	`fma-def_binary64`
330×	`pow-prod-down_binary64`
322×	`fma-neg_binary64`
271×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	246	12
2	3345	12

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))
(.f64 1/4 (.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 1/2 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (/.f64 (fma.f64 x 1/2 -1) (*.f64 x x))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/2 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/2 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (/.f64 (fma.f64 x 1/2 -1) (*.f64 x x))) (/.f64 1 (fma.f64 x 1/2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/2 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/4 (*.f64 x x) -1) (/.f64 1 (fma.f64 x 1/2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/2 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1/2 1)) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (cbrt.f64 (fma.f64 x 1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) 2) (*.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (sqrt.f64 (fma.f64 x 1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (*.f64 (sqrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 1/4 (*.f64 x x) -1)) (/.f64 1 (neg.f64 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 1/2 -1)) (fma.f64 1/4 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (fma.f64 x 1/2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) 1) (/.f64 (sqrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (fma.f64 x 1/2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) -2) (/.f64 (fma.f64 1/4 (*.f64 x x) -1) (cbrt.f64 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (cbrt.f64 (fma.f64 x 1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 (sqrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (cbrt.f64 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(2) ((x pow.f64 (/.f64 1 (fma.f64 x 1/2 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) -1) 3) (pow.f64 (fma.f64 x 1/2 -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (fma.f64 x 1/2 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 1/4 (*.f64 x x) -1) (neg.f64 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/2 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/2 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) -1) 3) (pow.f64 (fma.f64 x 1/2 -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 x 1/2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 x 1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 1 (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/4 (/.f64 (fma.f64 x 1/2 -1) (*.f64 x x))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/2) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 x 1/2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 (*.f64 x 1/2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (/.f64 (fma.f64 x 1/2 -1) (*.f64 x x)))) 2) (cbrt.f64 (/.f64 1/4 (/.f64 (fma.f64 x 1/2 -1) (*.f64 x x)))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/4 x)) (sqrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/4 (/.f64 (fma.f64 x 1/2 -1) (*.f64 x x)))) (sqrt.f64 (/.f64 1/4 (/.f64 (fma.f64 x 1/2 -1) (*.f64 x x)))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) -2) (/.f64 (*.f64 1/4 (*.f64 x x)) (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 x 1/2 -1) -1/2) (/.f64 (*.f64 1/4 (*.f64 x x)) (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x x) 1) (/.f64 1/4 (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x 1/2) 1) (/.f64 (*.f64 x 1/2) (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 1/4 x) 1) (/.f64 x (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 1/4 (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 (*.f64 x 1/2) (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 1/4 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/4 (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 1/4 (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 (*.f64 x 1/2) (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 1/4 x) (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 1/8 (pow.f64 x 3) -1)) (fma.f64 1/4 (*.f64 x x) (fma.f64 x 1/2 1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 1/4 (*.f64 x x) -1)) (fma.f64 x 1/2 1) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/4 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/16 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/2)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (pow.f64 x 3)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/64 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/64 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) (log1p.f64 -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log1p.f64 -3/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/64 (pow.f64 x 6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/4 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/4 (*.f64 x x) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/4 (*.f64 x x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x 1/2)) (hypot.f64 1 (*.f64 x 1/2)) -1)))))

simplify52.0ms (2%)

Algorithm

1×	egg-herbie

Rules

521×	`fma-def_binary64`
516×	`associate-/l*_binary64`
395×	`times-frac_binary64`
394×	`associate-*l/_binary64`
299×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	287	4294969192
1	661	1833
2	1860	1705

Stop Event

1×	node limit

Counts

138 → 173

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/2 x) 1)
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 1/2 x))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 1 (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) 1)
(+.f64 0 (fma.f64 x 1/2 1))
(+.f64 (/.f64 1/4 (/.f64 (fma.f64 x 1/2 -1) (*.f64 x x))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/2 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/2 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/2 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/2 1)))))
(-.f64 (*.f64 x 1/2) -1)
(-.f64 (/.f64 1/4 (/.f64 (fma.f64 x 1/2 -1) (*.f64 x x))) (/.f64 1 (fma.f64 x 1/2 -1)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 1))) 1)
(*.f64 1 (fma.f64 x 1/2 1))
(.f64 (fma.f64 1/4 (.f64 x x) -1) (/.f64 1 (fma.f64 x 1/2 -1)))
(*.f64 (fma.f64 x 1/2 1) 1)
(*.f64 (cbrt.f64 (fma.f64 x 1/2 1)) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (cbrt.f64 (fma.f64 x 1/2 1)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (.f64 x x) -1)) 2) (.f64 (cbrt.f64 (fma.f64 1/4 (.f64 x x) -1)) (/.f64 1 (fma.f64 x 1/2 -1))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (sqrt.f64 (fma.f64 x 1/2 1)))
(.f64 (sqrt.f64 (fma.f64 1/4 (.f64 x x) -1)) (.f64 (sqrt.f64 (fma.f64 1/4 (.f64 x x) -1)) (/.f64 1 (fma.f64 x 1/2 -1))))
(.f64 (neg.f64 (fma.f64 1/4 (.f64 x x) -1)) (/.f64 1 (neg.f64 (fma.f64 x 1/2 -1))))
(.f64 (/.f64 1 (fma.f64 x 1/2 -1)) (fma.f64 1/4 (.f64 x x) -1))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (.f64 x x) -1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (fma.f64 x 1/2 -1)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 1/4 (.f64 x x) -1)) 1) (/.f64 (sqrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (fma.f64 x 1/2 -1)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) -2) (/.f64 (fma.f64 1/4 (.f64 x x) -1) (cbrt.f64 (fma.f64 x 1/2 -1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (.f64 x x) -1)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (cbrt.f64 (fma.f64 x 1/2 1)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 1/4 (.f64 x x) -1)) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 (sqrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (cbrt.f64 (fma.f64 x 1/2 -1))))
(.f64 (pow.f64 (fma.f64 x 1/2 -1) -1/2) (/.f64 (fma.f64 1/4 (.f64 x x) -1) (sqrt.f64 (fma.f64 x 1/2 -1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (.f64 x x) -1)) 2) (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 (cbrt.f64 (fma.f64 1/4 (*.f64 x x) -1)) (sqrt.f64 (fma.f64 x 1/2 -1))))
(.f64 (/.f64 (fma.f64 1/4 (.f64 x x) -1) (fma.f64 1/8 (pow.f64 x 3) -1)) (fma.f64 1/4 (*.f64 x x) (fma.f64 x 1/2 1)))
(pow.f64 (fma.f64 x 1/2 1) 1)
(pow.f64 (pow.f64 (fma.f64 x 1/2 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/2 1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 1)) 2)
(pow.f64 (/.f64 1 (fma.f64 x 1/2 1)) -1)
(pow.f64 (/.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) -1) 3) (pow.f64 (fma.f64 x 1/2 -1) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (fma.f64 x 1/2 1)) 1) -1)
(neg.f64 (/.f64 (fma.f64 1/4 (*.f64 x x) -1) (neg.f64 (fma.f64 x 1/2 -1))))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 1) 2))
(log.f64 (exp.f64 (fma.f64 x 1/2 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 1))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 1) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) -1) 3) (pow.f64 (fma.f64 x 1/2 -1) 3)))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 1)))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 1)))
(exp.f64 (log1p.f64 (*.f64 x 1/2)))
(exp.f64 (.f64 (log1p.f64 (.f64 x 1/2)) 1))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (*.f64 x 1/2))) 1/3))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (*.f64 x 1/2))) 3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (*.f64 x 1/2))) 2))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (.f64 x 1/2))) -1))
(fma.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 x 1/2 1)
(fma.f64 (.f64 1/4 (.f64 x x)) (/.f64 1 (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 1 (*.f64 x 1/2) 1)
(fma.f64 1 (/.f64 1/4 (/.f64 (fma.f64 x 1/2 -1) (*.f64 x x))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 1/2 x 1)
(fma.f64 (*.f64 x 1/2) 1 1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (.f64 (cbrt.f64 (*.f64 x 1/2)) 1) 1)
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) 1)
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) 1)
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 (*.f64 x 1/2)) 1) 1)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (/.f64 (fma.f64 x 1/2 -1) (.f64 x x)))) 2) (cbrt.f64 (/.f64 1/4 (/.f64 (fma.f64 x 1/2 -1) (.f64 x x)))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (sqrt.f64 (*.f64 1/4 x)) (sqrt.f64 x) 1)
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 1/16 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)) 1)
(fma.f64 (sqrt.f64 (/.f64 1/4 (/.f64 (fma.f64 x 1/2 -1) (.f64 x x)))) (sqrt.f64 (/.f64 1/4 (/.f64 (fma.f64 x 1/2 -1) (.f64 x x)))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) -2) (/.f64 (.f64 1/4 (.f64 x x)) (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (pow.f64 (fma.f64 x 1/2 -1) -1/2) (/.f64 (.f64 1/4 (.f64 x x)) (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 x x) 1) (/.f64 1/4 (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (cbrt.f64 (.f64 1/16 (pow.f64 x 4))) 1) (/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (.f64 x 1/2) 1) (/.f64 (.f64 x 1/2) (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 1/4 x) 1) (/.f64 x (fma.f64 x 1/2 -1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 1/4 (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (cbrt.f64 (.f64 1/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 (.f64 x 1/2) (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 1/4 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 1/4 (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 1/4 (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (cbrt.f64 (.f64 1/16 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (.f64 x 1/2) (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 (.f64 x 1/2) (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (*.f64 1/4 x) (sqrt.f64 (fma.f64 x 1/2 -1))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 -1))) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (.f64 1/4 (.f64 x x)) (fma.f64 1/8 (pow.f64 x 3) -1)) (fma.f64 1/4 (*.f64 x x) (fma.f64 x 1/2 1)) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (/.f64 (.f64 1/4 (.f64 x x)) (fma.f64 1/4 (*.f64 x x) -1)) (fma.f64 x 1/2 1) (neg.f64 (/.f64 1 (fma.f64 x 1/2 -1))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1)
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) 1)
(+.f64 0 (.f64 1/4 (.f64 x x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (.f64 x x)))))
(-.f64 (fma.f64 1/4 (*.f64 x x) 1) 1)
(pow.f64 (.f64 1/4 (.f64 x x)) 1)
(pow.f64 (*.f64 x 1/2) 2)
(pow.f64 (*.f64 1/16 (pow.f64 x 4)) 1/2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 3)
(pow.f64 (cbrt.f64 (*.f64 x 1/2)) 6)
(pow.f64 (sqrt.f64 (*.f64 x 1/2)) 4)
(pow.f64 (*.f64 1/8 (pow.f64 x 3)) 2/3)
(pow.f64 (*.f64 1/64 (pow.f64 x 6)) 1/3)
(sqrt.f64 (*.f64 1/16 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/4) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/4 (.f64 x x)))))
(cbrt.f64 (*.f64 1/64 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 1/4 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 1/4 (.f64 x x))))
(exp.f64 (fma.f64 2 (log.f64 x) (log1p.f64 -3/4)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log1p.f64 -3/4)) 1))
(exp.f64 (.f64 (log.f64 (.f64 x 1/2)) 2))
(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)) 3))
(exp.f64 (.f64 (log.f64 (.f64 1/64 (pow.f64 x 6))) 1/3))
(fma.f64 1 (fma.f64 1/4 (*.f64 x x) 1) -1)
(fma.f64 (fma.f64 1/4 (*.f64 x x) 1) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/4 (.f64 x x) 1)) -1)
(fma.f64 (hypot.f64 1 (.f64 x 1/2)) (hypot.f64 1 (.f64 x 1/2)) -1)

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

eval98.0ms (3.7%)

Compiler: Compiled 2886 to 2249 computations (22.1% saved)

prune29.0ms (1.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	173	7	180

Error

Counts

180 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.6b	(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))
✓	0.0b	(/.f64 (expm1.f64 x) x)
✓	21.4b	(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
✓	21.4b	(+.f64 (*.f64 1/2 x) 1)
✓	0.1b	(*.f64 (/.f64 1 x) (expm1.f64 x))
✓	61.9b	(*.f64 1/2 x)
	21.2b	1

Compiler

Compiled 46 to 36 computations (21.7% saved)

regimes10.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

Inputs
1
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) 1)
(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)

Outputs
(/.f64 (expm1.f64 x) x)

Calls

2 calls:

5.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(/.f64 (-.f64 (exp.f64 x) 1) x)`

Compiler

Compiled 63 to 43 computations (31.7% saved)

regimes41.0ms (1.5%)

Accuracy

Total -40.9b remaining (-192.6%)

Threshold costs -40.9b (-192.6%)

Counts

5 → 1

Calls

Call 1

Inputs
1
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) 1)
(-.f64 (+.f64 (*.f64 1/2 x) 2) 1)
(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) 1) (-.f64 (*.f64 1/2 x) 1))

Outputs
1

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
21.2b	1	`x`

Compiler

Compiled 32 to 25 computations (21.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
1

Outputs
(/.f64 (expm1.f64 x) x)
1

Compiler

Compiled 7 to 5 computations (28.6% saved)

soundness25.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

95×	`fma-def_binary64`
80×	`fma-neg_binary64`
32×	`distribute-rgt-in_binary64`
28×	`cancel-sign-sub-inv_binary64`
26×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	145	6
9	223	6
10	352	6
11	511	6
12	583	6
13	619	6

Stop Event

1×

saturated

Compiler

Compiled 12 to 8 computations (33.3% saved)

end15.0ms (0.6%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	145	6
9	223	6
10	352	6
11	511	6
12	583	6
13	619	6
0	1	1

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	145	6
9	223	6
10	352	6
11	511	6
12	583	6
13	619	6

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	145	6
9	223	6
10	352	6
11	511	6
12	583	6
13	619	6

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	145	6
9	223	6
10	352	6
11	511	6
12	583	6
13	619	6
0	1	1

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	145	6
9	223	6
10	352	6
11	511	6
12	583	6
13	619	6

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	145	6
9	223	6
10	352	6
11	511	6
12	583	6
13	619	6

Details

analyze7.0ms (0.3%)

sample1.7s (64.9%)

preprocess28.0ms (1.1%)

simplify17.0ms (0.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series2.0ms (0.1%)

rewrite38.0ms (1.4%)

simplify39.0ms (1.5%)

eval9.0ms (0.3%)

prune7.0ms (0.3%)

localize5.0ms (0.2%)

localize8.0ms (0.3%)

series2.0ms (0.1%)

rewrite54.0ms (2%)

simplify54.0ms (2%)

eval42.0ms (1.6%)

prune22.0ms (0.8%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite35.0ms (1.3%)

simplify32.0ms (1.2%)

localize7.0ms (0.3%)

series2.0ms (0.1%)

rewrite41.0ms (1.5%)

simplify59.0ms (2.2%)

eval22.0ms (0.8%)

prune14.0ms (0.5%)

localize3.0ms (0.1%)

localize14.0ms (0.5%)

series3.0ms (0.1%)

rewrite80.0ms (3%)

simplify52.0ms (2%)

eval98.0ms (3.7%)

prune29.0ms (1.1%)

regimes10.0ms (0.4%)

regimes41.0ms (1.5%)

simplify2.0ms (0.1%)

soundness25.0ms (0.9%)

end15.0ms (0.6%)

Profiling

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	145	6
9	223	6
10	352	6
11	511	6
12	583	6
13	619	6
0	1	1

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	145	6
9	223	6
10	352	6
11	511	6
12	583	6
13	619	6

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	145	6
9	223	6
10	352	6
11	511	6
12	583	6
13	619	6