Details

analyze3.0ms (0.1%)

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
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	25%	0%	0%	4
80%	50%	12.5%	0%	37.5%	0%	0%	5
88.9%	50%	6.2%	0%	43.7%	0%	0%	6
94.1%	50%	3.1%	0%	46.9%	0%	0%	7
97%	50%	1.6%	0%	48.4%	0%	0%	8
98.5%	50%	0.8%	0%	49.2%	0%	0%	9
99.2%	50%	0.4%	0%	49.6%	0%	0%	10
99.6%	50.2%	0.2%	0%	49.6%	0%	0%	11
99.8%	50.2%	0.1%	0%	49.7%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample724.0ms (18.1%)

Results

711.0ms	8256×	body	256	valid
1.0ms	14×	body	256	infinite

Bogosity

preprocess52.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

658×	`div-sub_binary64`
631×	`fma-def_binary64`
417×	`times-frac_binary64`
408×	`associate-/l*_binary64`
382×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	19	9
2	50	9
3	111	7
4	236	7
5	531	7
6	1618	7
7	5638	7
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))

Outputs
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify41.0ms (1%)

Algorithm

1×	egg-herbie

Rules

658×	`div-sub_binary64`
631×	`fma-def_binary64`
417×	`times-frac_binary64`
408×	`associate-/l*_binary64`
382×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	19	9
2	50	9
3	111	7
4	236	7
5	531	7
6	1618	7
7	5638	7

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))

Outputs
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))

eval1.0ms (0%)

Compiler: Compiled 25 to 15 computations (40% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	2	5

Error

0.1b

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(exp.f64 (fma.f64 x x -1))
▶	0.1b	(exp.f64 (+.f64 (*.f64 x x) -1))

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x x) -1)
✓	0.1b	(exp.f64 (+.f64 (*.f64 x x) -1))

Compiler

Compiled 17 to 8 computations (52.9% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite47.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

611×	`pow1_binary64`
569×	`add-log-exp_binary64`
569×	`log1p-expm1-u_binary64`
569×	`expm1-log1p-u_binary64`
557×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	126	12
2	1571	12

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(exp.f64 (+.f64 (*.f64 x x) -1))
(+.f64 (*.f64 x x) -1)

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

Outputs

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

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

simplify45.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

469×	`fma-neg_binary64`
439×	`div-sub_binary64`
418×	`unswap-sqr_binary64`
390×	`log-prod_binary64`
302×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	724
1	310	678
2	1054	626
3	4923	608

Stop Event

1×	node limit

Counts

78 → 79

Calls

Call 1

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

Outputs
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1))
(*.f64 (fma.f64 x x 1) (exp.f64 -1))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))
(+.f64 (.f64 (fma.f64 x x 1) (exp.f64 -1)) (.f64 (exp.f64 -1) (*.f64 (pow.f64 x 4) 1/2)))
(.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (.f64 1/2 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))))
(fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4)))))
(fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (+.f64 (.f64 (fma.f64 x x 1) (exp.f64 -1)) (.f64 (exp.f64 -1) (.f64 (pow.f64 x 4) 1/2))))
(fma.f64 (exp.f64 -1) (.f64 1/6 (pow.f64 x 6)) (.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (*.f64 1/2 (pow.f64 x 4)))))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
-1
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
(exp.f64 (fma.f64 x x -1))
(-.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 1)
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (fma.f64 x x -1)) 1)
(exp.f64 (fma.f64 x x -1))
(*.f64 1 (exp.f64 (fma.f64 x x -1)))
(exp.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
(exp.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2))
(exp.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))
(exp.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) (sqrt.f64 (exp.f64 (fma.f64 x x -1))))
(exp.f64 (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1)
(exp.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3) 1/3)
(exp.f64 (fma.f64 x x -1))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 3)
(exp.f64 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 2)
(exp.f64 (fma.f64 x x -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))
(exp.f64 (fma.f64 x x -1))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (fma.f64 x x -1))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(pow.f64 (exp.f64 1) (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2))
(exp.f64 (fma.f64 x x -1))
(log.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))
(exp.f64 (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))
(exp.f64 (fma.f64 x x -1))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
(exp.f64 (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 x x -1))))
(exp.f64 (fma.f64 x x -1))
(-.f64 (+.f64 1 (fma.f64 x x -1)) 1)
(fma.f64 x x -1)
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 1 (fma.f64 x x 1)))
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 -1 (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 -1 (/.f64 -1 (fma.f64 x x -1)))
(*.f64 (fma.f64 x x -1) 1)
(fma.f64 x x -1)
(*.f64 1 (fma.f64 x x -1))
(fma.f64 x x -1)
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))
(fma.f64 x x -1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (cbrt.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 1 (.f64 (*.f64 x x) -1)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x 4) 1) (.f64 -1 (.f64 x x))) (+.f64 -1 (pow.f64 x 6))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 -1 (fma.f64 x x (pow.f64 x 4))))
(*.f64 (+.f64 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x x 1)))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 1 (fma.f64 x x 1)))
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 -1 (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 -1 (/.f64 -1 (fma.f64 x x -1)))
(*.f64 (+.f64 x 1) (+.f64 x -1))
(fma.f64 x x -1)
(*.f64 (+.f64 x -1) (+.f64 x 1))
(fma.f64 x x -1)
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (.f64 (.f64 x x) -1))) (+.f64 -1 (pow.f64 x 6))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x 4) 1) (.f64 -1 (.f64 x x))) (+.f64 -1 (pow.f64 x 6))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 -1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 1 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 1 (fma.f64 x x 1)))
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 -1 (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 -1 (/.f64 -1 (fma.f64 x x -1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 1 (.f64 (.f64 x x) -1))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x 4) 1) (.f64 -1 (.f64 x x))) (+.f64 -1 (pow.f64 x 6))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 -1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 1 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) -1))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x 4) 1) (.f64 -1 (.f64 x x))) (+.f64 -1 (pow.f64 x 6))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 -1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x 1))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 1 (fma.f64 x x 1)))
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 -1 (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 -1 (/.f64 -1 (fma.f64 x x -1)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (.f64 (.f64 x x) -1)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x 4) 1) (.f64 -1 (.f64 x x))) (+.f64 -1 (pow.f64 x 6))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 -1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (fma.f64 x x 1)))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 1 (fma.f64 x x 1)))
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 -1 (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 -1 (/.f64 -1 (fma.f64 x x -1)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 1 (fma.f64 x x 1)))
(+.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 1)) (/.f64 -1 (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 -1 (/.f64 -1 (fma.f64 x x -1)))
(pow.f64 (fma.f64 x x -1) 1)
(fma.f64 x x -1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(fma.f64 x x -1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(fma.f64 x x -1)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(fma.f64 x x -1)
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(fma.f64 x x -1)
(log.f64 (exp.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(fma.f64 x x -1)
(expm1.f64 (log1p.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(exp.f64 (log.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 x x -1)
(fma.f64 1 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) -1)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (fma.f64 x x -1))

Compiler

Compiled 12 to 7 computations (41.7% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite38.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

394×	`pow1_binary64`
380×	`add-sqr-sqrt_binary64`
374×	`*-un-lft-identity_binary64`
361×	`add-log-exp_binary64`
361×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	90	7
2	971	7

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (exp.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) (sqrt.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (.f64 x x)) (exp.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (exp.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (exp.f64 (fma.f64 x x -1)) (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) 3) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 1) -1) (pow.f64 (exp.f64 1) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 1) (.f64 x x)) (pow.f64 (exp.f64 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 1) (.f64 1/2 (fma.f64 x x -1))) (pow.f64 (exp.f64 1) (.f64 1/2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 1) (.f64 2 (.f64 1/3 (fma.f64 x x -1)))) (pow.f64 (exp.f64 1) (.f64 1/3 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (+.f64 1 (fma.f64 x x -1))) (exp.f64 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (.f64 (cbrt.f64 (fma.f64 x x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (+.f64 x 1)) (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (fma.f64 x x -1))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) (sqrt.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 x x)) (exp.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (exp.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 (fma.f64 x x -1)) (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) 3) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) -1) (pow.f64 (exp.f64 1) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (*.f64 x x)) (pow.f64 (exp.f64 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (*.f64 1/2 (fma.f64 x x -1))) (pow.f64 (exp.f64 1) (*.f64 1/2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (*.f64 2 (*.f64 1/3 (fma.f64 x x -1)))) (pow.f64 (exp.f64 1) (*.f64 1/3 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (+.f64 1 (fma.f64 x x -1))) (exp.f64 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (*.f64 (cbrt.f64 (fma.f64 x x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (+.f64 x 1)) (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (fma.f64 x x -1))))))))

simplify87.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

395×	`fma-neg_binary64`
351×	`sqr-pow_binary64`
324×	`fma-def_binary64`
304×	`associate-/l*_binary64`
287×	`exp-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	896
1	370	781
2	1056	763
3	3404	749
4	7048	749

Stop Event

1×	node limit

Counts

53 → 78

Calls

Call 1

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

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

eval160.0ms (4%)

Compiler: Compiled 1946 to 1454 computations (25.3% saved)

prune71.0ms (1.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	150	7	157
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	151	8	159

Error

Counts

159 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
▶	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
▶	0.1b	(.f64 (exp.f64 (.f64 x x)) (exp.f64 -1))
	1.5b	(log.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))
✓	0.1b	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	0.1b	(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
▶	52.6b	(exp.f64 (*.f64 x x))
▶	1.9b	(exp.f64 -1)

Compiler

Compiled 107 to 81 computations (24.3% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (exp.f64 x) x)
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))

Compiler

Compiled 18 to 9 computations (50% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite40.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`pow1_binary64`
528×	`add-log-exp_binary64`
528×	`log1p-expm1-u_binary64`
528×	`expm1-log1p-u_binary64`
514×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	130	15
2	1468	15

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
(pow.f64 (exp.f64 x) x)

Outputs

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

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

simplify80.0ms (2%)

Algorithm

1×	egg-herbie

Rules

677×	`fma-def_binary64`
471×	`associate-l_binary64`
415×	`associate-r_binary64`
316×	`distribute-rgt-in_binary64`
311×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	455
1	199	405
2	619	387
3	3275	382
4	6518	382

Stop Event

1×	node limit

Counts

50 → 58

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (*.f64 x x))

Compiler

Compiled 9 to 3 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite70.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

321×	`pow1_binary64`
314×	`associate-l_binary64`
308×	`add-sqr-sqrt_binary64`
302×	`*-un-lft-identity_binary64`
296×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	76	6
2	874	6

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

Inputs
(exp.f64 (*.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (pow.f64 (exp.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (exp.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6) (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4) (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/4) (sqrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 5))) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/2)) (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3/2)) (pow.f64 (pow.f64 (exp.f64 x) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 5)) (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 x) (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (pow.f64 (sqrt.f64 (exp.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 5)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 5/2) 1/3) (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (*.f64 1/2 (*.f64 x x))) (pow.f64 (E.f64) (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (*.f64 x x)))) (pow.f64 (E.f64) (*.f64 1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (+.f64 1 (*.f64 x x))) (E.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 x) (+.f64 1 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (E.f64) (+.f64 1 (*.f64 x x))) (E.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) x)) 3) 1) (+.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) x)) (+.f64 1 (pow.f64 (exp.f64 x) x))) (+.f64 1 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 x x)) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 x x)) 2) (expm1.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) x)) (+.f64 1 (pow.f64 (exp.f64 x) x))) 1) (+.f64 (+.f64 1 (pow.f64 (exp.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 x x)) 2)) (-.f64 1 (expm1.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (*.f64 (*.f64 x 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (+.f64 (*.f64 x 1/2) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (/.f64 (+.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (*.f64 2 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 x)) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) 2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 5)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 x 3/2)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 5)) (pow.f64 x 1/6)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 x 3/2)) (cbrt.f64 x)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 x 3/2)) (pow.f64 x 1/4)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) x)))))))

simplify68.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

536×	`times-frac_binary64`
533×	`fma-def_binary64`
519×	`associate-/l/_binary64`
383×	`sqr-pow_binary64`
250×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	198	932
1	501	909
2	1361	897
3	4631	867

Stop Event

1×	node limit

Counts

78 → 98

Calls

Call 1

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

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

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 x 1) (+.f64 x -1))
✓	0.1b	(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))

Compiler

Compiled 25 to 18 computations (28% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite57.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

845×	`pow1_binary64`
787×	`add-log-exp_binary64`
786×	`log1p-expm1-u_binary64`
786×	`expm1-log1p-u_binary64`
772×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	169	12
2	2315	12

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

Inputs
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(*.f64 (+.f64 x 1) (+.f64 x -1))

Outputs

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

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

simplify44.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

519×	`associate-/r*_binary64`
357×	`div-sub_binary64`
257×	`associate-/r/_binary64`
247×	`fma-neg_binary64`
232×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	985
1	625	911
2	3004	859

Stop Event

1×	node limit

Counts

97 → 107

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (exp.f64 (.f64 x x)) (exp.f64 -1))
	0.0b	(exp.f64 (*.f64 x x))

Compiler

Compiled 19 to 9 computations (52.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite64.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

545×	`pow1_binary64`
521×	`add-sqr-sqrt_binary64`
501×	`add-log-exp_binary64`
501×	`log1p-expm1-u_binary64`
501×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	129	7
2	1432	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify63.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

432×	`fma-def_binary64`
352×	`*-commutative_binary64`
344×	`associate-+l+_binary64`
320×	`fma-neg_binary64`
291×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	212
1	107	208
2	358	196
3	1766	189
4	3724	189
5	5977	189

Stop Event

1×	node limit

Counts

23 → 27

Calls

Call 1

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

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

eval130.0ms (3.3%)

Compiler: Compiled 5195 to 3057 computations (41.2% saved)

prune53.0ms (1.3%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	382	6	388
Fresh	1	1	2
Picked	1	0	1
Done	0	5	5
Total	384	12	396

Error

Counts

396 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
▶	0.1b	(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 x 1))
▶	0.1b	(-.f64 (+.f64 1 (exp.f64 (+.f64 -1 (*.f64 x x)))) 1)
▶	52.6b	(+.f64 1 (*.f64 x x))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
▶	0.1b	(exp.f64 (+.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1))))
▶	0.0b	(exp.f64 (+.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) x)))
✓	0.1b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	0.1b	(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
✓	52.6b	(exp.f64 (*.f64 x x))
✓	1.9b	(exp.f64 -1)
	52.6b	1

Compiler

Compiled 150 to 112 computations (25.3% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) x))
✓	0.0b	(*.f64 (+.f64 x -1) x)
✓	0.1b	(exp.f64 (+.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) x)))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite62.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

909×	`pow1_binary64`
847×	`add-log-exp_binary64`
847×	`log1p-expm1-u_binary64`
847×	`expm1-log1p-u_binary64`
831×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	35
1	154	29
2	2225	29

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

Inputs
(exp.f64 (+.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) x)))
(*.f64 (+.f64 x -1) x)
(+.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) x))

Outputs

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

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

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

simplify69.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

367×	`associate-/l*_binary64`
340×	`fma-neg_binary64`
288×	`associate-+l+_binary64`
277×	`cancel-sign-sub-inv_binary64`
245×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	198	1090
1	532	1042
2	2098	971

Stop Event

1×	node limit

Counts

118 → 118

Calls

Call 1

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

Outputs
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1))
(.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1))
(.f64 (exp.f64 -1) (+.f64 (.f64 x x) 1))
(+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))
(fma.f64 (exp.f64 -1) (.f64 x x) (fma.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4)) (exp.f64 -1)))
(.f64 (exp.f64 -1) (+.f64 (+.f64 (.f64 x x) 1) (*.f64 1/2 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))))
(fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4)))))
(fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (fma.f64 (exp.f64 -1) (.f64 x x) (fma.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (exp.f64 -1))))
(fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (.f64 (exp.f64 -1) (+.f64 (+.f64 (.f64 x x) 1) (.f64 1/2 (pow.f64 x 4)))))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
-1
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(+.f64 1 (expm1.f64 (*.f64 (+.f64 x -1) (+.f64 x 1))))
(exp.f64 (fma.f64 x x -1))
(-.f64 (+.f64 1 (exp.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)))) 1)
(exp.f64 (fma.f64 x x -1))
(.f64 (exp.f64 (.f64 (+.f64 x -1) (+.f64 x 1))) 1)
(exp.f64 (fma.f64 x x -1))
(.f64 1 (exp.f64 (.f64 (+.f64 x -1) (+.f64 x 1))))
(exp.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) (exp.f64 (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(.f64 (exp.f64 x) (exp.f64 (+.f64 -1 (.f64 x (+.f64 x -1)))))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (+.f64 x -1)) (pow.f64 (exp.f64 x) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(.f64 (cbrt.f64 (exp.f64 (.f64 (+.f64 x -1) (+.f64 x 1)))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)))) 2))
(exp.f64 (fma.f64 x x -1))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (+.f64 x -1) (+.f64 x 1)))) 2) (cbrt.f64 (exp.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)))))
(exp.f64 (fma.f64 x x -1))
(.f64 (sqrt.f64 (exp.f64 (.f64 (+.f64 x -1) (+.f64 x 1)))) (sqrt.f64 (exp.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)))))
(exp.f64 (fma.f64 x x -1))
(pow.f64 (exp.f64 (*.f64 (+.f64 x -1) (+.f64 x 1))) 1)
(exp.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 x -1) (+.f64 x 1))) 3) 1/3)
(exp.f64 (fma.f64 x x -1))
(pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)))) 3)
(exp.f64 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)))) 2)
(exp.f64 (fma.f64 x x -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 x -1) (+.f64 x 1))) 2)) (cbrt.f64 (.f64 (+.f64 x -1) (+.f64 x 1))))
(exp.f64 (fma.f64 x x -1))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (+.f64 x -1) (+.f64 x 1)))) (sqrt.f64 (.f64 (+.f64 x -1) (+.f64 x 1))))
(exp.f64 (fma.f64 x x -1))
(pow.f64 (exp.f64 1) (*.f64 (+.f64 x -1) (+.f64 x 1)))
(exp.f64 (fma.f64 x x -1))
(sqrt.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 x -1) (+.f64 x 1))) 2))
(exp.f64 (fma.f64 x x -1))
(log.f64 (exp.f64 (exp.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)))))
(exp.f64 (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 x -1) (+.f64 x 1))) 3))
(exp.f64 (fma.f64 x x -1))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)))))
(exp.f64 (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)))))
(exp.f64 (fma.f64 x x -1))
(+.f64 (.f64 x x) (.f64 x -1))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(+.f64 (.f64 x -1) (.f64 x x))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(-.f64 (+.f64 1 (*.f64 x (+.f64 x -1))) 1)
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(/.f64 (.f64 (+.f64 -1 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 1 (.f64 x -1))))
(/.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 (fma.f64 x x (-.f64 1 (neg.f64 x))) x))
(/.f64 (fma.f64 -1 x (pow.f64 x 4)) (fma.f64 x x (+.f64 x 1)))
(/.f64 (-.f64 (pow.f64 x 4) x) (fma.f64 x x (+.f64 x 1)))
(/.f64 (*.f64 (fma.f64 x x -1) x) (+.f64 x 1))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x 1))
(*.f64 (/.f64 x (+.f64 x 1)) (fma.f64 x x -1))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 x 1))
(/.f64 (.f64 x (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 (.f64 x -1))))
(/.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 (fma.f64 x x (-.f64 1 (neg.f64 x))) x))
(/.f64 (fma.f64 -1 x (pow.f64 x 4)) (fma.f64 x x (+.f64 x 1)))
(/.f64 (-.f64 (pow.f64 x 4) x) (fma.f64 x x (+.f64 x 1)))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x 1))
(*.f64 (/.f64 x (+.f64 x 1)) (fma.f64 x x -1))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 x 1))
(pow.f64 (*.f64 x (+.f64 x -1)) 1)
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3)
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 2)
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) 1/3)
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x -1))))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x -1))))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(exp.f64 (log.f64 (*.f64 x (+.f64 x -1))))
(*.f64 x (+.f64 -1 x))
(-.f64 (*.f64 x x) x)
(-.f64 (+.f64 1 (*.f64 (+.f64 x -1) (+.f64 x 1))) 1)
(fma.f64 x x -1)
(-.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) (.f64 (+.f64 x -1) (-.f64 1 x))) (/.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (*.f64 (+.f64 x -1) (-.f64 1 x))))
(fma.f64 x x -1)
(*.f64 (+.f64 x -1) (+.f64 x 1))
(fma.f64 x x -1)
(*.f64 (+.f64 x -1) (+.f64 1 x))
(fma.f64 x x -1)
(.f64 (.f64 (+.f64 x -1) (+.f64 x 1)) 1)
(fma.f64 x x -1)
(.f64 1 (.f64 (+.f64 x -1) (+.f64 x 1)))
(fma.f64 x x -1)
(.f64 (cbrt.f64 (.f64 (+.f64 x -1) (+.f64 x 1))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1) (+.f64 x 1))) 2))
(fma.f64 x x -1)
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 x -1) (+.f64 x 1))) 2) (cbrt.f64 (*.f64 (+.f64 x -1) (+.f64 x 1))))
(fma.f64 x x -1)
(.f64 (sqrt.f64 (.f64 (+.f64 x -1) (+.f64 x 1))) (sqrt.f64 (*.f64 (+.f64 x -1) (+.f64 x 1))))
(fma.f64 x x -1)
(.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (.f64 x (+.f64 x -1)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (.f64 (pow.f64 (+.f64 x -1) 2) x)))))
(.f64 (+.f64 (pow.f64 (.f64 x (+.f64 -1 x)) 3) (pow.f64 (+.f64 -1 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) 2) (-.f64 (pow.f64 (.f64 x (+.f64 -1 x)) 2) (.f64 x (pow.f64 (+.f64 -1 x) 2))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (+.f64 -1 x) 3)) (+.f64 (pow.f64 (-.f64 (.f64 x x) x) 2) (-.f64 (pow.f64 (+.f64 -1 x) 2) (*.f64 x (pow.f64 (+.f64 -1 x) 2)))))
(/.f64 (.f64 (pow.f64 (+.f64 -1 x) 3) (-.f64 -1 (pow.f64 x 3))) (-.f64 (.f64 x (pow.f64 (-.f64 1 x) 3)) (pow.f64 (+.f64 -1 x) 2)))
(.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (.f64 x (+.f64 x -1)) 2)) (/.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))))
(fma.f64 x x -1)
(*.f64 (+.f64 x 1) (+.f64 x -1))
(fma.f64 x x -1)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (.f64 (pow.f64 (+.f64 x -1) 2) x))) (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (*.f64 x (+.f64 x -1)) 3))))
(.f64 (+.f64 (pow.f64 (.f64 x (+.f64 -1 x)) 3) (pow.f64 (+.f64 -1 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) 2) (-.f64 (pow.f64 (.f64 x (+.f64 -1 x)) 2) (.f64 x (pow.f64 (+.f64 -1 x) 2))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (+.f64 -1 x) 3)) (+.f64 (pow.f64 (-.f64 (.f64 x x) x) 2) (-.f64 (pow.f64 (+.f64 -1 x) 2) (*.f64 x (pow.f64 (+.f64 -1 x) 2)))))
(/.f64 (.f64 (pow.f64 (+.f64 -1 x) 3) (-.f64 -1 (pow.f64 x 3))) (-.f64 (.f64 x (pow.f64 (-.f64 1 x) 3)) (pow.f64 (+.f64 -1 x) 2)))
(/.f64 1 (/.f64 (.f64 (+.f64 x -1) (-.f64 1 x)) (-.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (.f64 x (+.f64 x -1)) 2))))
(fma.f64 x x -1)
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (.f64 x (+.f64 x -1)) 3)) (+.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (*.f64 (pow.f64 (+.f64 x -1) 2) x))))
(.f64 (+.f64 (pow.f64 (.f64 x (+.f64 -1 x)) 3) (pow.f64 (+.f64 -1 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) 2) (-.f64 (pow.f64 (.f64 x (+.f64 -1 x)) 2) (.f64 x (pow.f64 (+.f64 -1 x) 2))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (+.f64 -1 x) 3)) (+.f64 (pow.f64 (-.f64 (.f64 x x) x) 2) (-.f64 (pow.f64 (+.f64 -1 x) 2) (*.f64 x (pow.f64 (+.f64 -1 x) 2)))))
(/.f64 (.f64 (pow.f64 (+.f64 -1 x) 3) (-.f64 -1 (pow.f64 x 3))) (-.f64 (.f64 x (pow.f64 (-.f64 1 x) 3)) (pow.f64 (+.f64 -1 x) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (.f64 x (+.f64 x -1)) 3)) (+.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (-.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 (pow.f64 (+.f64 x -1) 2) x))))
(.f64 (+.f64 (pow.f64 (.f64 x (+.f64 -1 x)) 3) (pow.f64 (+.f64 -1 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) 2) (-.f64 (pow.f64 (.f64 x (+.f64 -1 x)) 2) (.f64 x (pow.f64 (+.f64 -1 x) 2))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (+.f64 -1 x) 3)) (+.f64 (pow.f64 (-.f64 (.f64 x x) x) 2) (-.f64 (pow.f64 (+.f64 -1 x) 2) (*.f64 x (pow.f64 (+.f64 -1 x) 2)))))
(/.f64 (.f64 (pow.f64 (+.f64 -1 x) 3) (-.f64 -1 (pow.f64 x 3))) (-.f64 (.f64 x (pow.f64 (-.f64 1 x) 3)) (pow.f64 (+.f64 -1 x) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (.f64 x (+.f64 x -1)) 2)) (.f64 (+.f64 x -1) (-.f64 1 x)))
(fma.f64 x x -1)
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (.f64 x (+.f64 x -1)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (*.f64 (pow.f64 (+.f64 x -1) 2) x)))))
(.f64 (+.f64 (pow.f64 (.f64 x (+.f64 -1 x)) 3) (pow.f64 (+.f64 -1 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) 2) (-.f64 (pow.f64 (.f64 x (+.f64 -1 x)) 2) (.f64 x (pow.f64 (+.f64 -1 x) 2))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 1) (pow.f64 (+.f64 -1 x) 3)) (+.f64 (pow.f64 (-.f64 (.f64 x x) x) 2) (-.f64 (pow.f64 (+.f64 -1 x) 2) (*.f64 x (pow.f64 (+.f64 -1 x) 2)))))
(/.f64 (.f64 (pow.f64 (+.f64 -1 x) 3) (-.f64 -1 (pow.f64 x 3))) (-.f64 (.f64 x (pow.f64 (-.f64 1 x) 3)) (pow.f64 (+.f64 -1 x) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (.f64 x (+.f64 x -1)) 2))) (neg.f64 (.f64 (+.f64 x -1) (-.f64 1 x))))
(fma.f64 x x -1)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 (.f64 x (+.f64 x -1))) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (+.f64 -1 (.f64 x (+.f64 x -1))) (+.f64 -1 (.f64 x (+.f64 x -1)))) (.f64 x (+.f64 -1 (*.f64 x (+.f64 x -1)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 (.f64 x (+.f64 -1 x))) 3)) (fma.f64 x x (.f64 (+.f64 -1 (.f64 x (+.f64 -1 x))) (-.f64 (+.f64 -1 (.f64 x (+.f64 -1 x))) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (+.f64 -1 x) -1) 3)) (fma.f64 x x (*.f64 (fma.f64 x (+.f64 -1 x) -1) (-.f64 (fma.f64 x (+.f64 -1 x) -1) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (fma.f64 x x -1) x) 3)) (fma.f64 (-.f64 (fma.f64 x x -1) x) (+.f64 -1 (.f64 x (+.f64 x -2))) (.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 -1 (.f64 x (+.f64 x -1))) (+.f64 -1 (.f64 x (+.f64 x -1))))) (-.f64 x (+.f64 -1 (*.f64 x (+.f64 x -1)))))
(fma.f64 x x -1)
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (pow.f64 (+.f64 x -1) 2)) (-.f64 (.f64 x (+.f64 x -1)) (+.f64 x -1)))
(fma.f64 x x -1)
(pow.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)) 1)
(fma.f64 x x -1)
(pow.f64 (pow.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)) 3) 1/3)
(fma.f64 x x -1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1) (+.f64 x 1))) 3)
(fma.f64 x x -1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1) (+.f64 x 1))) 2)
(fma.f64 x x -1)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)) 2))
(fma.f64 x x -1)
(log.f64 (exp.f64 (*.f64 (+.f64 x -1) (+.f64 x 1))))
(fma.f64 x x -1)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)) 3))
(fma.f64 x x -1)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1) (+.f64 x 1))))
(fma.f64 x x -1)
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x -1) (+.f64 x 1))))
(fma.f64 x x -1)
(exp.f64 (log.f64 (*.f64 (+.f64 x -1) (+.f64 x 1))))
(fma.f64 x x -1)
(fma.f64 x (+.f64 x -1) (+.f64 x -1))
(fma.f64 x x -1)
(fma.f64 (+.f64 x -1) x (+.f64 x -1))
(fma.f64 x x -1)
(fma.f64 1 x (+.f64 -1 (*.f64 x (+.f64 x -1))))
(fma.f64 x x -1)
(fma.f64 1 (+.f64 x -1) (*.f64 x (+.f64 x -1)))
(fma.f64 x x -1)
(fma.f64 1 (*.f64 x (+.f64 x -1)) (+.f64 x -1))
(fma.f64 x x -1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) 2) (cbrt.f64 (.f64 x (+.f64 x -1))) (+.f64 x -1))
(fma.f64 x x -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 -1 (*.f64 x (+.f64 x -1))))
(fma.f64 x x -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) (*.f64 x (+.f64 x -1)))
(fma.f64 x x -1)
(fma.f64 (sqrt.f64 (.f64 x (+.f64 x -1))) (sqrt.f64 (.f64 x (+.f64 x -1))) (+.f64 x -1))
(fma.f64 x x -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 -1 (*.f64 x (+.f64 x -1))))
(fma.f64 x x -1)
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) (*.f64 x (+.f64 x -1)))
(fma.f64 x x -1)

localize12.0ms (0.3%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize31.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -1 (*.f64 x x))
✓	0.0b	(+.f64 1 (exp.f64 (+.f64 -1 (*.f64 x x))))
✓	0.0b	(-.f64 (+.f64 1 (exp.f64 (+.f64 -1 (*.f64 x x)))) 1)
✓	0.1b	(exp.f64 (+.f64 -1 (*.f64 x x)))

Compiler

Compiled 36 to 21 computations (41.7% saved)

series3.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite59.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

950×	`pow1_binary64`
891×	`add-log-exp_binary64`
888×	`log1p-expm1-u_binary64`
888×	`expm1-log1p-u_binary64`
100×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	196	29
2	2700	29

Stop Event

1×	node limit

Counts

4 → 157

Calls

Call 1

Inputs
(exp.f64 (+.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 1 (exp.f64 (+.f64 -1 (*.f64 x x)))) 1)
(+.f64 1 (exp.f64 (+.f64 -1 (*.f64 x x))))
(+.f64 -1 (*.f64 x x))

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

simplify123.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

553×	`times-frac_binary64`
522×	`unswap-sqr_binary64`
463×	`associate-/l*_binary64`
454×	`cancel-sign-sub-inv_binary64`
291×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	256	3218
1	576	3091
2	2178	3004

Stop Event

1×	node limit

Counts

205 → 179

Calls

Call 1

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

Outputs
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1))
(*.f64 (fma.f64 x x 1) (exp.f64 -1))
(+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))
(+.f64 (.f64 (fma.f64 x x 1) (exp.f64 -1)) (.f64 (exp.f64 -1) (*.f64 (pow.f64 x 4) 1/2)))
(.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (.f64 1/2 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))))
(fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4)))))
(fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (+.f64 (.f64 (fma.f64 x x 1) (exp.f64 -1)) (.f64 (exp.f64 -1) (.f64 (pow.f64 x 4) 1/2))))
(fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (*.f64 1/2 (pow.f64 x 4)))))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1))
(*.f64 (fma.f64 x x 1) (exp.f64 -1))
(+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))
(+.f64 (.f64 (fma.f64 x x 1) (exp.f64 -1)) (.f64 (exp.f64 -1) (*.f64 (pow.f64 x 4) 1/2)))
(.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (.f64 1/2 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))))
(fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4)))))
(fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (+.f64 (.f64 (fma.f64 x x 1) (exp.f64 -1)) (.f64 (exp.f64 -1) (.f64 (pow.f64 x 4) 1/2))))
(fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (*.f64 1/2 (pow.f64 x 4)))))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (fma.f64 x x -1))
(+.f64 1 (exp.f64 -1))
(+.f64 (exp.f64 -1) 1)
(+.f64 1 (+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1)))
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(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 (fma.f64 x x -1)) (expm1.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) (+.f64 1 (*.f64 (exp.f64 (fma.f64 x x -1)) (expm1.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) (fma.f64 (exp.f64 (fma.f64 x x -1)) (expm1.f64 (fma.f64 x x -1)) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2))) (neg.f64 (-.f64 1 (exp.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2)) (-.f64 1 (exp.f64 (fma.f64 x x -1))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2)) (+.f64 -1 (exp.f64 (fma.f64 x x -1))))
(/.f64 (expm1.f64 (*.f64 2 (fma.f64 x x -1))) (expm1.f64 (fma.f64 x x -1)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2) 1) (expm1.f64 (fma.f64 x x -1)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2)) (-.f64 1 (exp.f64 (fma.f64 x x -1))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2)) (+.f64 -1 (exp.f64 (fma.f64 x x -1))))
(/.f64 (expm1.f64 (*.f64 2 (fma.f64 x x -1))) (expm1.f64 (fma.f64 x x -1)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) 1) (+.f64 1 (.f64 (exp.f64 (fma.f64 x x -1)) (expm1.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) (+.f64 1 (*.f64 (exp.f64 (fma.f64 x x -1)) (expm1.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3)) (fma.f64 (exp.f64 (fma.f64 x x -1)) (expm1.f64 (fma.f64 x x -1)) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2)) 1) (-.f64 1 (exp.f64 (fma.f64 x x -1))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2)) (-.f64 1 (exp.f64 (fma.f64 x x -1))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2)) (+.f64 -1 (exp.f64 (fma.f64 x x -1))))
(/.f64 (expm1.f64 (*.f64 2 (fma.f64 x x -1))) (expm1.f64 (fma.f64 x x -1)))
(pow.f64 (+.f64 (exp.f64 (fma.f64 x x -1)) 1) 1)
(+.f64 1 (exp.f64 (fma.f64 x x -1)))
(+.f64 2 (expm1.f64 (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 (fma.f64 x x -1)) 1)) 3)
(+.f64 1 (exp.f64 (fma.f64 x x -1)))
(+.f64 2 (expm1.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 (fma.f64 x x -1)) 1)) 2)
(+.f64 1 (exp.f64 (fma.f64 x x -1)))
(+.f64 2 (expm1.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 x x -1)) 1) 3) 1/3)
(+.f64 1 (exp.f64 (fma.f64 x x -1)))
(+.f64 2 (expm1.f64 (fma.f64 x x -1)))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 x x -1)) 1) 2))
(+.f64 1 (exp.f64 (fma.f64 x x -1)))
(+.f64 2 (expm1.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (+.f64 (exp.f64 (fma.f64 x x -1)) 1)))
(+.f64 1 (exp.f64 (fma.f64 x x -1)))
(+.f64 2 (expm1.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 (fma.f64 x x -1)) 1))))
(+.f64 1 (exp.f64 (fma.f64 x x -1)))
(+.f64 2 (expm1.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 x x -1)) 1) 3))
(+.f64 1 (exp.f64 (fma.f64 x x -1)))
(+.f64 2 (expm1.f64 (fma.f64 x x -1)))
(expm1.f64 (log.f64 (+.f64 (exp.f64 (fma.f64 x x -1)) 2)))
(expm1.f64 (log.f64 (+.f64 2 (exp.f64 (fma.f64 x x -1)))))
(expm1.f64 (log1p.f64 (+.f64 2 (expm1.f64 (fma.f64 x x -1)))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 (fma.f64 x x -1)) 1)))
(+.f64 1 (exp.f64 (fma.f64 x x -1)))
(+.f64 2 (expm1.f64 (fma.f64 x x -1)))
(exp.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
(fma.f64 1 (exp.f64 (fma.f64 x x -1)) 1)
(+.f64 1 (exp.f64 (fma.f64 x x -1)))
(+.f64 2 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x) 1)
(+.f64 1 (exp.f64 (fma.f64 x x -1)))
(+.f64 2 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 1)
(fma.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2)) 1)
(fma.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 1)
(+.f64 1 (exp.f64 (fma.f64 x x -1)))
(+.f64 2 (expm1.f64 (fma.f64 x x -1)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x -1))) 1)
(fma.f64 x x -1)
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 x x -1)) 1) 3) -1)) (log.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 x x -1)) 1) 2) (+.f64 (exp.f64 (fma.f64 x x -1)) 2))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 3))) (log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 2) (+.f64 2 (exp.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 3))) (log.f64 (+.f64 2 (+.f64 (exp.f64 (fma.f64 x x -1)) (pow.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 2)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (+.f64 2 (expm1.f64 (fma.f64 x x -1))) 3))) (log1p.f64 (*.f64 (+.f64 2 (expm1.f64 (fma.f64 x x -1))) (+.f64 2 (exp.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 (fma.f64 x x -1)) 1) 2) -1)) (log.f64 (+.f64 (exp.f64 (fma.f64 x x -1)) 2)))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 2))) (log.f64 (+.f64 2 (exp.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (+.f64 2 (expm1.f64 (fma.f64 x x -1))) 2))) (log1p.f64 (+.f64 2 (expm1.f64 (fma.f64 x x -1)))))
(-.f64 (/.f64 1 (-.f64 -1 (.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 -1 (.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 -1 (*.f64 x x)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(*.f64 (fma.f64 x x -1) 1)
(fma.f64 x x -1)
(*.f64 1 (fma.f64 x x -1))
(fma.f64 x x -1)
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x 4) (.f64 x x)))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (-.f64 -1 (.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 -1 (*.f64 x x)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(*.f64 (+.f64 x 1) (-.f64 x 1))
(fma.f64 x x -1)
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 x 4) (*.f64 x x))) (+.f64 -1 (pow.f64 x 6))))
(.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x 4) (.f64 x x)))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 1 (/.f64 (-.f64 -1 (*.f64 x x)) (-.f64 1 (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 -1 (*.f64 x x)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 1 (+.f64 (pow.f64 x 4) (*.f64 x x))))
(.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x 4) (.f64 x x)))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 1 (neg.f64 (*.f64 x x)))))
(.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x 4) (.f64 x x)))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 -1 (*.f64 x x)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 x 6))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 x 4) (*.f64 x x)))))
(.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x 4) (.f64 x x)))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) (neg.f64 (-.f64 -1 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 -1 (*.f64 x x)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 (-.f64 (pow.f64 x 4) 1) (-.f64 (*.f64 x x) -1))
(/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 -1 (*.f64 x x)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(pow.f64 (fma.f64 x x -1) 1)
(fma.f64 x x -1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(fma.f64 x x -1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(fma.f64 x x -1)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(fma.f64 x x -1)
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(fma.f64 x x -1)
(log.f64 (exp.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(fma.f64 x x -1)
(expm1.f64 (log1p.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(exp.f64 (log.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 x x -1)
(fma.f64 1 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) -1)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 x x))
✓	0.0b	(+.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1)))
✓	0.1b	(exp.f64 (+.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1))))

Compiler

Compiled 39 to 18 computations (53.8% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite87.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

680×	`fma-def_binary64`
500×	`fma-neg_binary64`
412×	`log-prod_binary64`
332×	`pow-prod-down_binary64`
227×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	208	21
2	3413	17

Stop Event

1×	node limit

Counts

3 → 353

Calls

Call 1

Inputs
(exp.f64 (+.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1))))
(+.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1)))
(+.f64 x (*.f64 x x))

Outputs

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

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

simplify204.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

332×	`associate-r_binary64`
319×	`associate-l_binary64`
278×	`times-frac_binary64`
273×	`exp-prod_binary64`
265×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	657	4294973200
1	1716	5427
2	6783	5423

Stop Event

1×	node limit

Counts

389 → 471

Calls

Call 1

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

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

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series22.0ms (0.5%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	x	@	0	(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 x 1))
0.0ms	x	@	inf	(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 x 1))
0.0ms	x	@	0	(exp.f64 (+.f64 x -1))
0.0ms	x	@	-inf	(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 x 1))
0.0ms	x	@	-inf	(exp.f64 (+.f64 x -1))

rewrite46.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

838×	`pow1_binary64`
783×	`add-log-exp_binary64`
781×	`log1p-expm1-u_binary64`
781×	`expm1-log1p-u_binary64`
766×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	170	13
2	2198	13

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 x 1))
(exp.f64 (+.f64 x -1))

Outputs

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

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

simplify42.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

375×	`times-frac_binary64`
353×	`fma-def_binary64`
349×	`associate-/l*_binary64`
330×	`unswap-sqr_binary64`
265×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	734
1	308	586
2	1012	564
3	3506	558

Stop Event

1×	node limit

Counts

67 → 80

Calls

Call 1

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

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

eval423.0ms (10.6%)

Compiler: Compiled 13635 to 9594 computations (29.6% saved)

prune234.0ms (5.8%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	847	1	848
Fresh	0	2	2
Picked	0	1	1
Done	1	8	9
Total	848	12	860

Error

Counts

860 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	0.1b	(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 x 1))
▶	0.0b	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
✓	0.1b	(-.f64 (+.f64 1 (exp.f64 (+.f64 -1 (*.f64 x x)))) 1)
✓	52.6b	(+.f64 1 (*.f64 x x))
✓	0.1b	(exp.f64 (+.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1))))
✓	0.0b	(exp.f64 (+.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) x)))
✓	0.1b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	0.1b	(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
✓	52.6b	(exp.f64 (*.f64 x x))
✓	1.9b	(exp.f64 -1)
	52.6b	1

Compiler

Compiled 91 to 68 computations (25.3% saved)

localize23.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (exp.f64 x) x)
✓	0.0b	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite65.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

629×	`pow1_binary64`
583×	`add-log-exp_binary64`
582×	`log1p-expm1-u_binary64`
582×	`expm1-log1p-u_binary64`
568×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	125	9
2	1595	9

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))

Outputs

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

simplify39.0ms (1%)

Algorithm

1×	egg-herbie

Rules

428×	`associate-/r/_binary64`
416×	`associate-l_binary64`
391×	`associate-r_binary64`
345×	`fma-def_binary64`
260×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	506
1	233	457
2	703	387
3	3797	381

Stop Event

1×	node limit

Counts

42 → 56

Calls

Call 1

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

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

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
0.0ms	x	@	0	(exp.f64 (+.f64 x 1))
0.0ms	x	@	inf	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
0.0ms	x	@	-inf	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
0.0ms	x	@	inf	(exp.f64 (+.f64 x 1))

rewrite51.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

850×	`pow1_binary64`
795×	`add-log-exp_binary64`
793×	`log1p-expm1-u_binary64`
793×	`expm1-log1p-u_binary64`
777×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	171	13
2	2224	13

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

Inputs
(exp.f64 (+.f64 x 1))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))

Outputs

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

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

simplify58.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

417×	`associate-/l*_binary64`
324×	`associate-/r*_binary64`
288×	`fma-def_binary64`
287×	`associate-*l/_binary64`
246×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	670
1	303	546
2	1002	531
3	3361	524

Stop Event

1×	node limit

Counts

63 → 79

Calls

Call 1

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

Outputs
(exp.f64 1)
(E.f64)
(+.f64 (*.f64 x (exp.f64 1)) (exp.f64 1))
(fma.f64 x (E.f64) (E.f64))
(fma.f64 (E.f64) x (E.f64))
(+.f64 (.f64 x (exp.f64 1)) (+.f64 (.f64 1/2 (*.f64 (exp.f64 1) (pow.f64 x 2))) (exp.f64 1)))
(fma.f64 x (E.f64) (fma.f64 1/2 (.f64 (E.f64) (.f64 x x)) (E.f64)))
(fma.f64 (E.f64) x (fma.f64 1/2 (.f64 (E.f64) (.f64 x x)) (E.f64)))
(.f64 (E.f64) (+.f64 (+.f64 1 x) (.f64 1/2 (*.f64 x x))))
(+.f64 (.f64 x (exp.f64 1)) (+.f64 (.f64 1/2 (.f64 (exp.f64 1) (pow.f64 x 2))) (+.f64 (.f64 1/6 (*.f64 (exp.f64 1) (pow.f64 x 3))) (exp.f64 1))))
(fma.f64 x (E.f64) (fma.f64 1/2 (.f64 (E.f64) (.f64 x x)) (fma.f64 1/6 (*.f64 (E.f64) (pow.f64 x 3)) (E.f64))))
(fma.f64 (E.f64) x (fma.f64 1/2 (.f64 (E.f64) (.f64 x x)) (fma.f64 1/6 (*.f64 (E.f64) (pow.f64 x 3)) (E.f64))))
(fma.f64 (E.f64) x (fma.f64 (pow.f64 x 3) (.f64 (E.f64) 1/6) (fma.f64 (.f64 x (*.f64 (E.f64) 1/2)) x (E.f64))))
(.f64 (E.f64) (+.f64 (+.f64 1 x) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/6 (pow.f64 x 3)))))
(exp.f64 (+.f64 1 x))
(exp.f64 (+.f64 1 x))
(exp.f64 (+.f64 1 x))
(exp.f64 (+.f64 1 x))
(exp.f64 (-.f64 1 (*.f64 -1 x)))
(exp.f64 (+.f64 1 x))
(exp.f64 (-.f64 1 (*.f64 -1 x)))
(exp.f64 (+.f64 1 x))
(exp.f64 (-.f64 1 (*.f64 -1 x)))
(exp.f64 (+.f64 1 x))
(exp.f64 (-.f64 1 (*.f64 -1 x)))
(exp.f64 (+.f64 1 x))
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1))
(.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(/.f64 (fma.f64 x x 1) (E.f64))
(+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))
(fma.f64 (.f64 x x) (exp.f64 -1) (fma.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4)) (exp.f64 -1)))
(.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (.f64 1/2 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))))
(fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4)))))
(fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (fma.f64 (.f64 x x) (exp.f64 -1) (fma.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (exp.f64 -1))))
(fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (*.f64 1/2 (pow.f64 x 4)))))
(.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (+.f64 (.f64 1/2 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 6)))))
(exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 x)) (+.f64 1 (.f64 -1 x)))))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 x)) (+.f64 1 (.f64 -1 x)))))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 x)) (+.f64 1 (.f64 -1 x)))))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 x)) (+.f64 1 (.f64 -1 x)))))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(+.f64 1 (expm1.f64 (+.f64 x 1)))
(exp.f64 (+.f64 1 x))
(-.f64 (+.f64 1 (exp.f64 (+.f64 x 1))) 1)
(exp.f64 (+.f64 1 x))
(*.f64 1 (exp.f64 (+.f64 x 1)))
(exp.f64 (+.f64 1 x))
(*.f64 (exp.f64 (+.f64 x 1)) 1)
(exp.f64 (+.f64 1 x))
(*.f64 (exp.f64 x) (E.f64))
(exp.f64 (+.f64 1 x))
(*.f64 (E.f64) (exp.f64 x))
(exp.f64 (+.f64 1 x))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) 2))
(exp.f64 (+.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) 2) (cbrt.f64 (exp.f64 (+.f64 x 1))))
(exp.f64 (+.f64 1 x))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (sqrt.f64 (exp.f64 (+.f64 x 1))))
(exp.f64 (+.f64 1 x))
(pow.f64 (exp.f64 (+.f64 x 1)) 1)
(exp.f64 (+.f64 1 x))
(pow.f64 (E.f64) (+.f64 x 1))
(exp.f64 (+.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) 3) 1/3)
(exp.f64 (+.f64 1 x))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) 3)
(exp.f64 (+.f64 1 x))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) 2)
(exp.f64 (+.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 x)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) 2))
(exp.f64 (+.f64 1 x))
(log.f64 (exp.f64 (exp.f64 (+.f64 x 1))))
(exp.f64 (+.f64 1 x))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) 3))
(exp.f64 (+.f64 1 x))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x 1))))
(exp.f64 (+.f64 1 x))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x 1))))
(exp.f64 (+.f64 1 x))
(-.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 1)
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 1 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (fma.f64 x x -1)) 1)
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (/.f64 1 (exp.f64 (+.f64 x 1))))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (/.f64 1 (exp.f64 (+.f64 x 1))) (pow.f64 (exp.f64 (+.f64 x 1)) x))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) (sqrt.f64 (exp.f64 (fma.f64 x x -1))))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 1 (+.f64 x -1)) (exp.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) (exp.f64 (+.f64 x -1)))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) 2) (+.f64 x -1)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 x -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) 2) (+.f64 x -1)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) (+.f64 x -1)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 x -1)) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 x -1)))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (*.f64 2 (+.f64 x -1)))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (+.f64 -2 (*.f64 2 x)))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (fma.f64 x 2 -2))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(log.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 x x -1))))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))

eval45.0ms (1.1%)

Compiler: Compiled 2013 to 1290 computations (35.9% saved)

prune26.0ms (0.7%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	1	1
Picked	0	1	1
Done	0	10	10
Total	166	12	178

Error

Counts

178 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	0.1b	(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 x 1))
✓	0.0b	(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
✓	0.1b	(-.f64 (+.f64 1 (exp.f64 (+.f64 -1 (*.f64 x x)))) 1)
✓	52.6b	(+.f64 1 (*.f64 x x))
✓	0.1b	(exp.f64 (+.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1))))
✓	0.0b	(exp.f64 (+.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) x)))
✓	0.1b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	0.1b	(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
✓	52.6b	(exp.f64 (*.f64 x x))
✓	1.9b	(exp.f64 -1)
	52.6b	1

Compiler

Compiled 91 to 68 computations (25.3% saved)

regimes27.0ms (0.7%)

Counts

17 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 x x))
(exp.f64 -1)
(exp.f64 (*.f64 x x))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (+.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) x)))
(-.f64 (+.f64 1 (exp.f64 (+.f64 -1 (*.f64 x x)))) 1)
(exp.f64 (+.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1))))
(exp.f64 (fma.f64 x x -1))
(.f64 (exp.f64 (.f64 x x)) (exp.f64 -1))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 x 1))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
(log.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))

Outputs
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))

Calls

5 calls:

10.0ms	x
4.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))
3.0ms	(*.f64 x x)
3.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))

Results

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

Compiler

Compiled 140 to 89 computations (36.4% saved)

regimes28.0ms (0.7%)

Counts

14 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 x x))
(exp.f64 -1)
(exp.f64 (*.f64 x x))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (+.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) x)))
(-.f64 (+.f64 1 (exp.f64 (+.f64 -1 (*.f64 x x)))) 1)
(exp.f64 (+.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1))))
(exp.f64 (fma.f64 x x -1))
(.f64 (exp.f64 (.f64 x x)) (exp.f64 -1))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 x 1))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))

Outputs
(exp.f64 (+.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) x)))

Calls

5 calls:

9.0ms	x
8.0ms	(-.f64 1 (*.f64 x x))
3.0ms	(*.f64 x x)
2.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
2.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))

Results

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

Compiler

Compiled 120 to 77 computations (35.8% saved)

regimes16.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 x x))
(exp.f64 -1)
(exp.f64 (*.f64 x x))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))

Outputs
(exp.f64 (+.f64 (*.f64 x x) -1))

Calls

5 calls:

5.0ms	x
3.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))
3.0ms	(*.f64 x x)
2.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))`
0.1b	1	`(neg.f64 (-.f64 1 (*.f64 x x)))`
0.1b	1	`(-.f64 1 (*.f64 x x))`
0.1b	1	`(*.f64 x x)`

Compiler

Compiled 61 to 39 computations (36.1% saved)

regimes8.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 x x))
(exp.f64 -1)
(exp.f64 (*.f64 x x))

Outputs
(exp.f64 -1)

Calls

2 calls:

4.0ms	(*.f64 x x)
4.0ms	x

Results

Error	Segments	Branch
1.9b	1	`x`
1.9b	1	`(*.f64 x x)`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 x x))

Outputs
1

Calls

2 calls:

3.0ms	x
2.0ms	(*.f64 x x)

Results

Error	Segments	Branch
52.6b	1	`x`
52.6b	1	`(*.f64 x x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`e-exp-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	23	38

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
(exp.f64 (+.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) x)))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 -1)
1

Outputs
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64))
(exp.f64 (+.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) x)))
(exp.f64 (+.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1))))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 -1)
1

Compiler

Compiled 30 to 23 computations (23.3% saved)

soundness98.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

658×	`div-sub_binary64`
631×	`fma-def_binary64`
417×	`times-frac_binary64`
408×	`associate-/l*_binary64`
382×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	19	9
2	50	9
3	111	7
4	236	7
5	531	7
6	1618	7
7	5638	7

Stop Event

1×	node limit

Compiler

Compiled 40 to 30 computations (25% saved)

end34.0ms (0.8%)

Compiler: Compiled 26 to 19 computations (26.9% saved)

Details

analyze3.0ms (0.1%)

sample724.0ms (18.1%)

preprocess52.0ms (1.3%)

simplify41.0ms (1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series2.0ms (0.1%)

rewrite47.0ms (1.2%)

simplify45.0ms (1.1%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite38.0ms (1%)

simplify87.0ms (2.2%)

eval160.0ms (4%)

prune71.0ms (1.8%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite40.0ms (1%)

simplify80.0ms (2%)

localize3.0ms (0.1%)

localize3.0ms (0.1%)

series1.0ms (0%)

rewrite70.0ms (1.8%)

simplify68.0ms (1.7%)

localize10.0ms (0.3%)

series3.0ms (0.1%)

rewrite57.0ms (1.4%)

simplify44.0ms (1.1%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite64.0ms (1.6%)

simplify63.0ms (1.6%)

eval130.0ms (3.3%)

prune53.0ms (1.3%)

localize13.0ms (0.3%)

series3.0ms (0.1%)

rewrite62.0ms (1.6%)

simplify69.0ms (1.7%)

localize12.0ms (0.3%)

localize31.0ms (0.8%)

series3.0ms (0.1%)

rewrite59.0ms (1.5%)

simplify123.0ms (3.1%)

localize13.0ms (0.3%)

series2.0ms (0.1%)

rewrite87.0ms (2.2%)

simplify204.0ms (5.1%)

localize10.0ms (0.3%)

series22.0ms (0.5%)

rewrite46.0ms (1.1%)

simplify42.0ms (1.1%)

eval423.0ms (10.6%)

prune234.0ms (5.8%)

localize23.0ms (0.6%)

series2.0ms (0.1%)

rewrite65.0ms (1.6%)

simplify39.0ms (1%)

localize12.0ms (0.3%)

series3.0ms (0.1%)

rewrite51.0ms (1.3%)

simplify58.0ms (1.4%)

eval45.0ms (1.1%)

prune26.0ms (0.7%)

regimes27.0ms (0.7%)

regimes28.0ms (0.7%)

regimes16.0ms (0.4%)

regimes8.0ms (0.2%)

regimes6.0ms (0.1%)

simplify5.0ms (0.1%)

soundness98.0ms (2.4%)

end34.0ms (0.8%)

Profiling