Details

analyze158.0ms (6.7%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.5s (62.6%)

Results

753.0ms	2788×	body	1024	valid
318.0ms	3843×	body	256	valid
238.0ms	1336×	body	512	valid
149.0ms	289×	body	2048	valid
0.0ms	4×	body	256	unsamplable

Bogosity

preprocess24.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`
1×	`expm1-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	12	8
2	13	8
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`
1×	`expm1-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	12	8
2	13	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 13 to 7 computations (46.2% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.5b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.9b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
▶	0.5b	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 x)
✓	0.5b	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 11 to 4 computations (63.6% saved)

series10.0ms (0.4%)

Counts

2 → 0

Calls

6 calls:

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

Compiler

Compiled 810 to 490 computations (39.5% saved)

rewrite40.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

516×	`pow1_binary64`
493×	`add-sqr-sqrt_binary64`
477×	`add-log-exp_binary64`
477×	`log1p-expm1-u_binary64`
477×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	99	11
2	1287	11

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

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

Outputs

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

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

simplify42.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

791×	`fma-def_binary64`
521×	`associate-/r*_binary64`
441×	`unswap-sqr_binary64`
392×	`associate-/l*_binary64`
328×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	538
1	262	451
2	1013	361
3	7086	357

Stop Event

1×	node limit

Counts

52 → 65

Calls

Call 1

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

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

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	4.8b	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 16 to 8 computations (50% saved)

series5.0ms (0.2%)

Counts

2 → 0

Calls

6 calls:

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

Compiler

Compiled 370 to 285 computations (23% saved)

rewrite49.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`pow1_binary64`
617×	`add-log-exp_binary64`
616×	`log1p-expm1-u_binary64`
616×	`expm1-log1p-u_binary64`
604×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	127	11
2	1676	11

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

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

Outputs

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

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

simplify47.0ms (2%)

Algorithm

1×	egg-herbie

Rules

721×	`fma-def_binary64`
525×	`associate-/r*_binary64`
464×	`associate-/l*_binary64`
425×	`unswap-sqr_binary64`
389×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	868
1	332	748
2	1205	583
3	7197	553

Stop Event

1×	node limit

Counts

64 → 83

Calls

Call 1

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

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

eval24.0ms (1%)

Compiler: Compiled 1692 to 682 computations (59.7% saved)

prune43.0ms (1.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	146	2	148
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	146	4	150

Error

0.5b

Counts

150 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	39.9b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	0.5b	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	0.5b	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
▶	46.8b	(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))

Compiler

Compiled 29 to 20 computations (31% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 x)
✓	0.2b	(-.f64 x (log.f64 (expm1.f64 x)))
✓	0.5b	(log.f64 (expm1.f64 x))
✓	1.6b	(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))

Compiler

Compiled 18 to 5 computations (72.2% saved)

series68.0ms (2.9%)

Counts

3 → 0

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	x	@	inf	(log.f64 (expm1.f64 x))
23.0ms	x	@	-inf	(log.f64 (expm1.f64 x))
1.0ms	x	@	0	(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
0.0ms	x	@	inf	(-.f64 x (log.f64 (expm1.f64 x)))
0.0ms	x	@	-inf	(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))

Compiler

Compiled 1470 to 860 computations (41.5% saved)

rewrite47.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

660×	`pow1_binary64`
613×	`add-log-exp_binary64`
613×	`log1p-expm1-u_binary64`
613×	`expm1-log1p-u_binary64`
599×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	21
1	123	21
2	1648	21

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

Inputs
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(log.f64 (expm1.f64 x))
(-.f64 x (log.f64 (expm1.f64 x)))

Outputs

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

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

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

simplify40.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

460×	`unswap-sqr_binary64`
386×	`distribute-rgt-in_binary64`
377×	`associate-/l*_binary64`
329×	`distribute-lft-in_binary64`
318×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	1169
1	406	935
2	1744	784

Stop Event

1×	node limit

Counts

82 → 91

Calls

Call 1

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

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

localize12.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 x)
✓	0.0b	(/.f64 1 (expm1.f64 x))
✓	0.5b	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))

Compiler

Compiled 18 to 9 computations (50% saved)

series8.0ms (0.3%)

Counts

2 → 0

Calls

6 calls:

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

Compiler

Compiled 850 to 545 computations (35.9% saved)

rewrite44.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`pow1_binary64`
542×	`add-log-exp_binary64`
542×	`log1p-expm1-u_binary64`
542×	`expm1-log1p-u_binary64`
529×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	133	14
2	1545	14

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

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

simplify43.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

476×	`associate-l_binary64`
422×	`associate-r_binary64`
361×	`fma-neg_binary64`
342×	`unswap-sqr_binary64`
325×	`fabs-mul_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	546
1	214	423
2	648	306
3	4633	306

Stop Event

1×	node limit

Counts

41 → 47

Calls

Call 1

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

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

eval72.0ms (3.1%)

Compiler: Compiled 2224 to 962 computations (56.7% saved)

prune22.0ms (1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	198	4	202

Error

0.5b

Counts

202 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	39.9b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	0.5b	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	0.5b	(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
✓	46.8b	(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))

Compiler

Compiled 29 to 20 computations (31% saved)

regimes8.0ms (0.4%)

Accuracy

Total -62.8b remaining (-12455.9%)

Threshold costs -62.8b (-12455.9%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))

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

Calls

3 calls:

3.0ms	x
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
2.0ms	(exp.f64 x)

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))`
0.5b	1	`(exp.f64 x)`

Compiler

Compiled 39 to 21 computations (46.2% saved)

simplify10.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	11	19

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

soundness7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`
1×	`expm1-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	12	8
2	13	8

Stop Event

1×

saturated

Compiler

Compiled 14 to 9 computations (35.7% saved)

end29.0ms (1.2%)

Compiler: Compiled 13 to 7 computations (46.2% saved)

Details

analyze158.0ms (6.7%)

sample1.5s (62.6%)

preprocess24.0ms (1%)

simplify6.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

series10.0ms (0.4%)

rewrite40.0ms (1.7%)

simplify42.0ms (1.8%)

localize6.0ms (0.3%)

series5.0ms (0.2%)

rewrite49.0ms (2.1%)

simplify47.0ms (2%)

eval24.0ms (1%)

prune43.0ms (1.8%)

localize7.0ms (0.3%)

series68.0ms (2.9%)

rewrite47.0ms (2%)

simplify40.0ms (1.7%)

localize12.0ms (0.5%)

series8.0ms (0.3%)

rewrite44.0ms (1.9%)

simplify43.0ms (1.9%)

eval72.0ms (3.1%)

prune22.0ms (1%)

regimes8.0ms (0.4%)

simplify10.0ms (0.4%)

soundness7.0ms (0.3%)

end29.0ms (1.2%)

Profiling