Details

analyze4.0ms (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)

sample853.0ms (23%)

Results

839.0ms	8256×	body	256	valid
2.0ms	19×	body	256	infinite

Bogosity

preprocess49.0ms (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 (1.1%)

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

0.0b

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(exp.f64 (fma.f64 x x -1))
▶	0.0b	(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)
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))

Compiler

Compiled 17 to 8 computations (52.9% saved)

series7.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(exp.f64 (+.f64 (*.f64 x x) -1))
1.0ms	x	@	0	(exp.f64 (+.f64 (*.f64 x x) -1))
0.0ms	x	@	inf	(+.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))

rewrite57.0ms (1.5%)

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)))))

simplify44.0ms (1.2%)

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
✓	0.0b	(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))

rewrite37.0ms (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))))))))

simplify57.0ms (1.5%)

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))

eval45.0ms (1.2%)

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

prune40.0ms (1.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	152	5	157
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	152	7	159

Error

0.0b

Counts

159 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
▶	1.0b	(.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)))))
▶	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	0.0b	(exp.f64 (fma.f64 x x -1))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	52.6b	(exp.f64 (*.f64 x x))
▶	0.6b	(exp.f64 -1)

Compiler

Compiled 113 to 85 computations (24.8% 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)

rewrite52.0ms (1.4%)

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))))))

simplify58.0ms (1.6%)

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))

rewrite90.0ms (2.4%)

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)))))))

simplify60.0ms (1.6%)

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)

localize11.0ms (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)

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	@	-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	@	0	(exp.f64 (+.f64 x 1))
0.0ms	x	@	-inf	(exp.f64 (+.f64 x 1))

rewrite65.0ms (1.8%)

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
(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 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))))))

((#(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))))))))

simplify42.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

417×	`associate-/l*_binary64`
325×	`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	1000	531
3	3367	524

Stop Event

1×	node limit

Counts

63 → 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))))))
(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 (*.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)))
(-.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))
(+.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))))

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

localize70.0ms (1.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (pow.f64 (*.f64 (exp.f64 (fma.f64 x x -1)) (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) 1/3)
	0.0b	(exp.f64 (fma.f64 x x -1))
✓	1.0b	(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
✓	1.0b	(cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))

Compiler

Compiled 93 to 66 computations (29% saved)

series106.0ms (2.8%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
64.0ms	x	@	inf	(cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))
18.0ms	x	@	-inf	(cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))
6.0ms	x	@	-inf	(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
5.0ms	x	@	0	(pow.f64 (pow.f64 (*.f64 (exp.f64 (fma.f64 x x -1)) (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) 1/3)
4.0ms	x	@	inf	(pow.f64 (pow.f64 (*.f64 (exp.f64 (fma.f64 x x -1)) (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) 1/3)

rewrite57.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

897×	`pow1_binary64`
831×	`add-log-exp_binary64`
831×	`log1p-expm1-u_binary64`
831×	`expm1-log1p-u_binary64`
805×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	241	40
2	2489	40

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

Inputs
(cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (*.f64 (exp.f64 (fma.f64 x x -1)) (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) 1/3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 1/6) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 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 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) 1/3) (cbrt.f64 (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)) 1/6) 1/3) (pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 x x -1)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (*.f64 (fma.f64 x x -1) 1/3)))))))

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

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

simplify77.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

812×	`fma-def_binary64`
680×	`fma-neg_binary64`
423×	`*-commutative_binary64`
344×	`distribute-rgt-in_binary64`
336×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	229	4294969379
1	565	1983
2	1950	1690
3	6622	1621

Stop Event

1×	node limit

Counts

94 → 125

Calls

Call 1

Inputs
(exp.f64 -1/9)
(+.f64 (.f64 1/9 (.f64 (exp.f64 -1/9) (pow.f64 x 2))) (exp.f64 -1/9))
(+.f64 (.f64 1/9 (.f64 (exp.f64 -1/9) (pow.f64 x 2))) (+.f64 (exp.f64 -1/9) (.f64 1/162 (.f64 (exp.f64 -1/9) (pow.f64 x 4)))))
(+.f64 (.f64 1/9 (.f64 (exp.f64 -1/9) (pow.f64 x 2))) (+.f64 (exp.f64 -1/9) (+.f64 (.f64 1/162 (.f64 (exp.f64 -1/9) (pow.f64 x 4))) (.f64 1/4374 (.f64 (exp.f64 -1/9) (pow.f64 x 6))))))
(exp.f64 (*.f64 1/9 (fma.f64 x x -1)))
(exp.f64 (*.f64 1/9 (fma.f64 x x -1)))
(exp.f64 (*.f64 1/9 (fma.f64 x x -1)))
(exp.f64 (*.f64 1/9 (fma.f64 x x -1)))
(exp.f64 (*.f64 1/9 (fma.f64 x x -1)))
(exp.f64 (*.f64 1/9 (fma.f64 x x -1)))
(exp.f64 (*.f64 1/9 (fma.f64 x x -1)))
(exp.f64 (*.f64 1/9 (fma.f64 x x -1)))
(pow.f64 (exp.f64 -1) 1/3)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (exp.f64 -1)) 1/3) (pow.f64 x 2))) (pow.f64 (exp.f64 -1) 1/3))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 x 4)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3))) (pow.f64 (exp.f64 -1) 1/3)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3) (.f64 (-.f64 (.f64 1/6 (exp.f64 -1)) (+.f64 (.f64 1/27 (exp.f64 -1)) (.f64 2/3 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1)))))) (pow.f64 x 6)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 x 4)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3))) (pow.f64 (exp.f64 -1) 1/3))))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(pow.f64 (pow.f64 (exp.f64 -1) 8) 1/9)
(+.f64 (.f64 8/9 (.f64 (pow.f64 (*.f64 1 (pow.f64 (exp.f64 -1) 8)) 1/9) (pow.f64 x 2))) (pow.f64 (pow.f64 (exp.f64 -1) 8) 1/9))
(+.f64 (.f64 8/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 -1) 8)) 1/9) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 16)) 1/9) (.f64 (-.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 4)) 1/3) (-.f64 (.f64 8 (pow.f64 (exp.f64 -1) 4)) (.f64 16/3 (pow.f64 (exp.f64 -1) 4))))) (.f64 16/9 (pow.f64 (.f64 1 (pow.f64 (exp.f64 -1) 8)) 1/3))) (.f64 64/27 (pow.f64 (.f64 1 (pow.f64 (exp.f64 -1) 8)) 1/3))) (pow.f64 x 4)))) (pow.f64 (pow.f64 (exp.f64 -1) 8) 1/9)))
(+.f64 (.f64 8/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 -1) 8)) 1/9) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 16)) 1/9) (.f64 (-.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 4)) 1/3) (-.f64 (.f64 8 (pow.f64 (exp.f64 -1) 4)) (.f64 16/3 (pow.f64 (exp.f64 -1) 4))))) (.f64 16/9 (pow.f64 (.f64 1 (pow.f64 (exp.f64 -1) 8)) 1/3))) (.f64 64/27 (pow.f64 (.f64 1 (pow.f64 (exp.f64 -1) 8)) 1/3))) (pow.f64 x 4)))) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1) 8) 1/9) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 16)) 1/9) (.f64 (-.f64 (+.f64 (.f64 8/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 4)) 1/3) (-.f64 (.f64 8 (pow.f64 (exp.f64 -1) 4)) (.f64 16/3 (pow.f64 (exp.f64 -1) 4))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 4)) 1/3) (-.f64 (+.f64 (.f64 8 (pow.f64 (exp.f64 -1) 4)) (.f64 2 (.f64 (+.f64 (.f64 1/3 (pow.f64 (exp.f64 -1) 2)) (pow.f64 (exp.f64 -1) 2)) (pow.f64 (exp.f64 -1) 2)))) (+.f64 (.f64 8/3 (-.f64 (.f64 8 (pow.f64 (exp.f64 -1) 4)) (.f64 16/3 (pow.f64 (exp.f64 -1) 4)))) (.f64 64/27 (pow.f64 (exp.f64 -1) 4))))))) (+.f64 (.f64 16/9 (.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 4)) 1/3) (-.f64 (.f64 8 (pow.f64 (exp.f64 -1) 4)) (.f64 16/3 (pow.f64 (exp.f64 -1) 4))))) (.f64 16/9 (pow.f64 (.f64 1 (pow.f64 (exp.f64 -1) 8)) 1/3))) (.f64 64/27 (pow.f64 (.f64 1 (pow.f64 (exp.f64 -1) 8)) 1/3))))) (.f64 512/729 (pow.f64 (*.f64 1 (pow.f64 (exp.f64 -1) 8)) 1/3)))) (pow.f64 x 6)))))))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8) 1/9)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8) 1/9)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8) 1/9)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8) 1/9)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8) 1/9)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8) 1/9)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8) 1/9)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8) 1/9)
(-.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 1/6) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.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) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 1/6) 1/3) (pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 1/6) 1/3))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/9)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 1/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))))
(exp.f64 (.f64 1/3 (.f64 (fma.f64 x x -1) 1/3)))
(-.f64 (+.f64 1 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 1)
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2))
(*.f64 1 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 1/6) (pow.f64 (exp.f64 (fma.f64 x x -1)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 1/3) (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 1/3))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) 1) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 1/6)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 1/6))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (fma.f64 x x -1) 1/3))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)) 1)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2) 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)))
(*.f64 (pow.f64 1 2/3) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2) 2/3) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2/3) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2/3))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2) 4)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)))
(sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2) 4)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)))
(exp.f64 (.f64 (+.f64 (fma.f64 x x -1) (.f64 (fma.f64 x x -1) 1/3)) 2/3))

Outputs
(exp.f64 -1/9)
(+.f64 (.f64 1/9 (.f64 (exp.f64 -1/9) (pow.f64 x 2))) (exp.f64 -1/9))
(fma.f64 1/9 (.f64 (exp.f64 -1/9) (.f64 x x)) (exp.f64 -1/9))
(.f64 (+.f64 (.f64 1/9 (*.f64 x x)) 1) (exp.f64 -1/9))
(+.f64 (.f64 1/9 (.f64 (exp.f64 -1/9) (pow.f64 x 2))) (+.f64 (exp.f64 -1/9) (.f64 1/162 (.f64 (exp.f64 -1/9) (pow.f64 x 4)))))
(+.f64 (fma.f64 1/9 (.f64 (exp.f64 -1/9) (.f64 x x)) (exp.f64 -1/9)) (.f64 1/162 (.f64 (exp.f64 -1/9) (pow.f64 x 4))))
(fma.f64 1/9 (.f64 (exp.f64 -1/9) (.f64 x x)) (fma.f64 1/162 (*.f64 (exp.f64 -1/9) (pow.f64 x 4)) (exp.f64 -1/9)))
(+.f64 (exp.f64 -1/9) (.f64 (exp.f64 -1/9) (+.f64 (.f64 1/9 (.f64 x x)) (.f64 1/162 (pow.f64 x 4)))))
(+.f64 (.f64 1/9 (.f64 (exp.f64 -1/9) (pow.f64 x 2))) (+.f64 (exp.f64 -1/9) (+.f64 (.f64 1/162 (.f64 (exp.f64 -1/9) (pow.f64 x 4))) (.f64 1/4374 (.f64 (exp.f64 -1/9) (pow.f64 x 6))))))
(+.f64 (fma.f64 1/9 (.f64 (exp.f64 -1/9) (.f64 x x)) (exp.f64 -1/9)) (fma.f64 1/162 (.f64 (exp.f64 -1/9) (pow.f64 x 4)) (.f64 1/4374 (*.f64 (exp.f64 -1/9) (pow.f64 x 6)))))
(+.f64 (fma.f64 1/9 (.f64 (exp.f64 -1/9) (.f64 x x)) (exp.f64 -1/9)) (fma.f64 1/162 (.f64 (exp.f64 -1/9) (pow.f64 x 4)) (.f64 (exp.f64 -1/9) (*.f64 (pow.f64 x 6) 1/4374))))
(+.f64 (fma.f64 (exp.f64 -1/9) (.f64 1/162 (pow.f64 x 4)) (exp.f64 -1/9)) (.f64 (exp.f64 -1/9) (+.f64 (.f64 1/4374 (pow.f64 x 6)) (.f64 1/9 (*.f64 x x)))))
(exp.f64 (*.f64 1/9 (fma.f64 x x -1)))
(pow.f64 (exp.f64 1/9) (fma.f64 x x -1))
(exp.f64 (*.f64 1/9 (fma.f64 x x -1)))
(pow.f64 (exp.f64 1/9) (fma.f64 x x -1))
(exp.f64 (*.f64 1/9 (fma.f64 x x -1)))
(pow.f64 (exp.f64 1/9) (fma.f64 x x -1))
(exp.f64 (*.f64 1/9 (fma.f64 x x -1)))
(pow.f64 (exp.f64 1/9) (fma.f64 x x -1))
(exp.f64 (*.f64 1/9 (fma.f64 x x -1)))
(pow.f64 (exp.f64 1/9) (fma.f64 x x -1))
(exp.f64 (*.f64 1/9 (fma.f64 x x -1)))
(pow.f64 (exp.f64 1/9) (fma.f64 x x -1))
(exp.f64 (*.f64 1/9 (fma.f64 x x -1)))
(pow.f64 (exp.f64 1/9) (fma.f64 x x -1))
(exp.f64 (*.f64 1/9 (fma.f64 x x -1)))
(pow.f64 (exp.f64 1/9) (fma.f64 x x -1))
(pow.f64 (exp.f64 -1) 1/3)
(cbrt.f64 (exp.f64 -1))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (exp.f64 -1)) 1/3) (pow.f64 x 2))) (pow.f64 (exp.f64 -1) 1/3))
(fma.f64 1/3 (.f64 (.f64 x x) (cbrt.f64 (exp.f64 -1))) (cbrt.f64 (exp.f64 -1)))
(fma.f64 1/3 (.f64 x (.f64 x (cbrt.f64 (exp.f64 -1)))) (cbrt.f64 (exp.f64 -1)))
(.f64 (+.f64 (.f64 (*.f64 x x) 1/3) 1) (cbrt.f64 (exp.f64 -1)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 x 4)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3))) (pow.f64 (exp.f64 -1) 1/3)))
(fma.f64 1/3 (.f64 (.f64 x x) (cbrt.f64 (exp.f64 -1))) (fma.f64 1/3 (.f64 (.f64 (exp.f64 -1) 1/6) (*.f64 (pow.f64 x 4) (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2))))) (cbrt.f64 (exp.f64 -1))))
(fma.f64 1/3 (.f64 x (.f64 x (cbrt.f64 (exp.f64 -1)))) (fma.f64 1/3 (.f64 (pow.f64 x 4) (.f64 (*.f64 (exp.f64 -1) 1/6) (cbrt.f64 (/.f64 1 (exp.f64 -2))))) (cbrt.f64 (exp.f64 -1))))
(fma.f64 (cbrt.f64 (exp.f64 2)) (.f64 (pow.f64 x 4) (.f64 (exp.f64 -1) 1/18)) (.f64 (+.f64 (.f64 (*.f64 x x) 1/3) 1) (cbrt.f64 (exp.f64 -1))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3) (.f64 (-.f64 (.f64 1/6 (exp.f64 -1)) (+.f64 (.f64 1/27 (exp.f64 -1)) (.f64 2/3 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1)))))) (pow.f64 x 6)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 x 4)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3))) (pow.f64 (exp.f64 -1) 1/3))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2))) (.f64 (pow.f64 x 6) (-.f64 (.f64 (exp.f64 -1) 1/6) (fma.f64 1/27 (exp.f64 -1) (.f64 (.f64 (exp.f64 -1) 1/6) 2/3))))) (fma.f64 1/3 (.f64 (.f64 x x) (cbrt.f64 (exp.f64 -1))) (fma.f64 1/3 (.f64 (.f64 (exp.f64 -1) 1/6) (.f64 (pow.f64 x 4) (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2))))) (cbrt.f64 (exp.f64 -1)))))
(fma.f64 1/3 (.f64 (pow.f64 x 6) (.f64 (cbrt.f64 (/.f64 1 (exp.f64 -2))) (-.f64 (.f64 (exp.f64 -1) 7/54) (.f64 1/9 (exp.f64 -1))))) (fma.f64 1/3 (.f64 x (.f64 x (cbrt.f64 (exp.f64 -1)))) (fma.f64 1/3 (.f64 (pow.f64 x 4) (.f64 (*.f64 (exp.f64 -1) 1/6) (cbrt.f64 (/.f64 1 (exp.f64 -2))))) (cbrt.f64 (exp.f64 -1)))))
(fma.f64 1/3 (fma.f64 (pow.f64 x 6) (.f64 (cbrt.f64 (exp.f64 2)) (.f64 (exp.f64 -1) 1/54)) (.f64 x (.f64 x (cbrt.f64 (exp.f64 -1))))) (fma.f64 (cbrt.f64 (exp.f64 2)) (.f64 (pow.f64 x 4) (.f64 (exp.f64 -1) 1/18)) (cbrt.f64 (exp.f64 -1))))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (exp.f64 -1) 8) 1/9)
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(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(*.f64 1 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 1/6) (pow.f64 (exp.f64 (fma.f64 x x -1)) 1/6))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 1/3) (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))) (cbrt.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 1/6) 4)
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) 1) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 1/6)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 1/6))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 1)
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 3)
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 1/6) 2)
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (fma.f64 x x -1) 1/3))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)) 1)
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4)) 2) 0)
(pow.f64 (exp.f64 2/3) (*.f64 (fma.f64 x x -1) 4/3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2) 1)
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4)) 2) 0)
(pow.f64 (exp.f64 2/3) (*.f64 (fma.f64 x x -1) 4/3))
(*.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4)) 2) 0)
(pow.f64 (exp.f64 2/3) (*.f64 (fma.f64 x x -1) 4/3))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4)) 2) 0)
(pow.f64 (exp.f64 2/3) (*.f64 (fma.f64 x x -1) 4/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4)) 2) 0)
(pow.f64 (exp.f64 2/3) (*.f64 (fma.f64 x x -1) 4/3))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4)) 2) 0)
(pow.f64 (exp.f64 2/3) (*.f64 (fma.f64 x x -1) 4/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2) 4))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4) 4))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (.f64 (fma.f64 x x -1) 4/3))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 4/3) (fma.f64 x x -1)) 4))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (.f64 (fma.f64 x x -1) 4/3))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2/3) (fma.f64 x x -1)) 8))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2) 4))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4) 4))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (.f64 (fma.f64 x x -1) 4/3))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 4/3) (fma.f64 x x -1)) 4))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (.f64 (fma.f64 x x -1) 4/3))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2/3) (fma.f64 x x -1)) 8))))
(*.f64 (pow.f64 1 2/3) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4)) 2) 0)
(pow.f64 (exp.f64 2/3) (*.f64 (fma.f64 x x -1) 4/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2) 2/3) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2/3))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2) 1/3) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2) 1/3)) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 1/3) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 1/3)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4)))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (fma.f64 x x -1)))) (.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (.f64 (fma.f64 x x -1) 4/3))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (*.f64 (fma.f64 x x -1) 4/3)))) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (fma.f64 x x -1))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2/3) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2/3))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4)) 2) 0)
(pow.f64 (exp.f64 2/3) (*.f64 (fma.f64 x x -1) 4/3))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4)) 2) 0)
(pow.f64 (exp.f64 2/3) (*.f64 (fma.f64 x x -1) 4/3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2) 4)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2) 4))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4) 4))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (.f64 (fma.f64 x x -1) 4/3))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 4/3) (fma.f64 x x -1)) 4))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (.f64 (fma.f64 x x -1) 4/3))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2/3) (fma.f64 x x -1)) 8))))
(sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2) 4)))
(sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4) 4)))
(sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 4/3) (fma.f64 x x -1)) 4)))
(sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2/3) (fma.f64 x x -1)) 8)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4)) 2) 0)
(pow.f64 (exp.f64 2/3) (*.f64 (fma.f64 x x -1) 4/3))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2) 2))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 4))
(cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 8))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4)) 2) 0)
(pow.f64 (exp.f64 2/3) (*.f64 (fma.f64 x x -1) 4/3))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4)) 2) 0)
(pow.f64 (exp.f64 2/3) (*.f64 (fma.f64 x x -1) 4/3))
(exp.f64 (.f64 (+.f64 (fma.f64 x x -1) (.f64 (fma.f64 x x -1) 1/3)) 2/3))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 2)) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4)) 2) 0)
(pow.f64 (exp.f64 2/3) (*.f64 (fma.f64 x x -1) 4/3))

eval566.0ms (15.2%)

Compiler: Compiled 16910 to 12984 computations (23.2% saved)

prune148.0ms (4%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	627	3	630
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	628	9	637

Error

Counts

637 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
▶	52.6b	(+.f64 1 (*.f64 x x))
▶	1.0b	(*.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8) 1/9) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	0.0b	(exp.f64 (fma.f64 x x -1))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	52.6b	(exp.f64 (*.f64 x x))
✓	0.6b	(exp.f64 -1)
	52.6b	1

Compiler

Compiled 64 to 48 computations (25% saved)

localize37.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(exp.f64 (fma.f64 x x -1))
	1.0b	(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
	1.0b	(cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))
✓	1.0b	(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)

Compiler

Compiled 60 to 43 computations (28.3% saved)

series2.0ms (0.1%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
1.0ms	x	@	inf	(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
1.0ms	x	@	-inf	(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)

rewrite64.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

560×	`pow1_binary64`
518×	`add-log-exp_binary64`
518×	`log1p-expm1-u_binary64`
518×	`expm1-log1p-u_binary64`
506×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	137	10
2	1452	10

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)

Outputs

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

simplify63.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

584×	`fma-neg_binary64`
382×	`prod-exp_binary64`
378×	`exp-prod_binary64`
314×	`unswap-sqr_binary64`
308×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	400
1	167	353
2	469	294
3	2044	266
4	4833	266
5	6909	266

Stop Event

1×	node limit

Counts

18 → 37

Calls

Call 1

Inputs
(pow.f64 (exp.f64 -1) 8)
(+.f64 (.f64 8 (.f64 (pow.f64 (exp.f64 -1) 8) (pow.f64 x 2))) (pow.f64 (exp.f64 -1) 8))
(+.f64 (.f64 8 (.f64 (pow.f64 (exp.f64 -1) 8) (pow.f64 x 2))) (+.f64 (.f64 32 (.f64 (pow.f64 (exp.f64 -1) 8) (pow.f64 x 4))) (pow.f64 (exp.f64 -1) 8)))
(+.f64 (.f64 8 (.f64 (pow.f64 (exp.f64 -1) 8) (pow.f64 x 2))) (+.f64 (.f64 32 (.f64 (pow.f64 (exp.f64 -1) 8) (pow.f64 x 4))) (+.f64 (pow.f64 (exp.f64 -1) 8) (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 8 (pow.f64 (exp.f64 -1) 4)) (.f64 2 (.f64 (+.f64 (pow.f64 (exp.f64 -1) 2) (.f64 1/3 (pow.f64 (exp.f64 -1) 2))) (pow.f64 (exp.f64 -1) 2)))) (pow.f64 (exp.f64 -1) 4))) (.f64 64 (pow.f64 (exp.f64 -1) 8))) (pow.f64 x 6)))))
(-.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8)) 1)
(*.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8) 1)
(*.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 16)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 16)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8)))
(*.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 4) (pow.f64 (exp.f64 (fma.f64 x x -1)) 4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 8) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 8))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 8) (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 8))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 16))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8)))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8)))
(exp.f64 (*.f64 (fma.f64 x x -1) 8))

Outputs
(pow.f64 (exp.f64 -1) 8)
(exp.f64 -8)
(+.f64 (.f64 8 (.f64 (pow.f64 (exp.f64 -1) 8) (pow.f64 x 2))) (pow.f64 (exp.f64 -1) 8))
(fma.f64 8 (.f64 (pow.f64 (exp.f64 -1) 8) (.f64 x x)) (pow.f64 (exp.f64 -1) 8))
(.f64 (+.f64 (.f64 8 (*.f64 x x)) 1) (pow.f64 (exp.f64 -1) 8))
(.f64 (+.f64 1 (.f64 8 (*.f64 x x))) (exp.f64 -8))
(+.f64 (.f64 8 (.f64 (pow.f64 (exp.f64 -1) 8) (pow.f64 x 2))) (+.f64 (.f64 32 (.f64 (pow.f64 (exp.f64 -1) 8) (pow.f64 x 4))) (pow.f64 (exp.f64 -1) 8)))
(fma.f64 8 (.f64 (pow.f64 (exp.f64 -1) 8) (.f64 x x)) (fma.f64 32 (*.f64 (pow.f64 (exp.f64 -1) 8) (pow.f64 x 4)) (pow.f64 (exp.f64 -1) 8)))
(+.f64 (pow.f64 (exp.f64 -1) 8) (.f64 (pow.f64 (exp.f64 -1) 8) (+.f64 (.f64 8 (.f64 x x)) (.f64 32 (pow.f64 x 4)))))
(.f64 (exp.f64 -8) (+.f64 (.f64 8 (.f64 x x)) (+.f64 1 (.f64 32 (pow.f64 x 4)))))
(.f64 (exp.f64 -8) (+.f64 (+.f64 1 (.f64 8 (.f64 x x))) (.f64 32 (pow.f64 x 4))))
(+.f64 (.f64 8 (.f64 (pow.f64 (exp.f64 -1) 8) (pow.f64 x 2))) (+.f64 (.f64 32 (.f64 (pow.f64 (exp.f64 -1) 8) (pow.f64 x 4))) (+.f64 (pow.f64 (exp.f64 -1) 8) (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 8 (pow.f64 (exp.f64 -1) 4)) (.f64 2 (.f64 (+.f64 (pow.f64 (exp.f64 -1) 2) (.f64 1/3 (pow.f64 (exp.f64 -1) 2))) (pow.f64 (exp.f64 -1) 2)))) (pow.f64 (exp.f64 -1) 4))) (.f64 64 (pow.f64 (exp.f64 -1) 8))) (pow.f64 x 6)))))
(fma.f64 8 (.f64 (pow.f64 (exp.f64 -1) 8) (.f64 x x)) (+.f64 (fma.f64 32 (.f64 (pow.f64 (exp.f64 -1) 8) (pow.f64 x 4)) (pow.f64 (exp.f64 -1) 8)) (.f64 (fma.f64 2 (.f64 (pow.f64 (exp.f64 -1) 4) (fma.f64 8 (pow.f64 (exp.f64 -1) 4) (.f64 2 (.f64 (pow.f64 (exp.f64 -1) 2) (.f64 4/3 (pow.f64 (exp.f64 -1) 2)))))) (*.f64 (pow.f64 (exp.f64 -1) 8) 64)) (pow.f64 x 6))))
(fma.f64 8 (.f64 (pow.f64 (exp.f64 -1) 8) (.f64 x x)) (fma.f64 32 (.f64 (pow.f64 (exp.f64 -1) 8) (pow.f64 x 4)) (fma.f64 (fma.f64 (pow.f64 (exp.f64 -1) 8) 64 (.f64 (fma.f64 8 (pow.f64 (exp.f64 -1) 4) (.f64 (exp.f64 -2) (.f64 8/3 (exp.f64 -2)))) (*.f64 (pow.f64 (exp.f64 -1) 4) 2))) (pow.f64 x 6) (pow.f64 (exp.f64 -1) 8))))
(+.f64 (fma.f64 (.f64 (exp.f64 -4) (+.f64 (fma.f64 2 (.f64 8/3 (exp.f64 -4)) (.f64 (exp.f64 -4) 16)) (.f64 (exp.f64 -4) 64))) (pow.f64 x 6) (pow.f64 (exp.f64 -1) 8)) (.f64 (pow.f64 (exp.f64 -1) 8) (+.f64 (.f64 8 (.f64 x x)) (.f64 32 (pow.f64 x 4)))))
(+.f64 (fma.f64 (fma.f64 2 (.f64 (exp.f64 -6) (.f64 (exp.f64 -2) 32/3)) (.f64 (exp.f64 -8) 64)) (pow.f64 x 6) (exp.f64 -8)) (.f64 (.f64 (exp.f64 -8) (.f64 x x)) (+.f64 8 (.f64 32 (.f64 x x)))))
(+.f64 (fma.f64 (fma.f64 (exp.f64 -8) 64 (.f64 (.f64 (exp.f64 -4) 32/3) (.f64 2 (exp.f64 -4)))) (pow.f64 x 6) (exp.f64 -8)) (.f64 (exp.f64 -8) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 32) 8))))
(-.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8)) 1)
(+.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8)) -1)
(+.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1)) 0)
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(*.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8) 1)
(+.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8)) -1)
(+.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1)) 0)
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(*.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8))
(+.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8)) -1)
(+.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1)) 0)
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 16)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 16)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 16)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 8))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 16)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 16)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 16)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 16)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 8))
(*.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 4) (pow.f64 (exp.f64 (fma.f64 x x -1)) 4))
(+.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8)) -1)
(+.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1)) 0)
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) 8) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 8))
(+.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8)) -1)
(+.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1)) 0)
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 8) (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 8))
(+.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8)) -1)
(+.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1)) 0)
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 16))
(+.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8)) -1)
(+.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1)) 0)
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(log.f64 (exp.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8)))
(+.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8)) -1)
(+.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1)) 0)
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8) 3))
(+.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8)) -1)
(+.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1)) 0)
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8)))
(+.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8)) -1)
(+.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1)) 0)
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8)))
(+.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8)) -1)
(+.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1)) 0)
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(exp.f64 (*.f64 (fma.f64 x x -1) 8))
(+.f64 (+.f64 1 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8)) -1)
(+.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1)) 0)
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)

localize4.0ms (0.1%)

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

eval243.0ms (6.5%)

Compiler: Compiled 7035 to 5641 computations (19.8% saved)

prune42.0ms (1.1%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	264	1	265
Fresh	0	1	1
Picked	0	1	1
Done	1	6	7
Total	265	9	274

Error

Counts

274 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	52.6b	(+.f64 1 (*.f64 x x))
▶	1.0b	(.f64 (pow.f64 (exp.f64 (.f64 (fma.f64 x x -1) 8)) 1/9) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	0.0b	(exp.f64 (fma.f64 x x -1))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	52.6b	(exp.f64 (*.f64 x x))
✓	0.6b	(exp.f64 -1)
	52.6b	1

Compiler

Compiled 64 to 48 computations (25% saved)

localize85.0ms (2.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(exp.f64 (fma.f64 x x -1))
✓	0.0b	(exp.f64 (*.f64 (fma.f64 x x -1) 8))
	1.0b	(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
	1.0b	(cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))

Compiler

Compiled 66 to 47 computations (28.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(exp.f64 (*.f64 (fma.f64 x x -1) 8))
0.0ms	x	@	inf	(exp.f64 (*.f64 (fma.f64 x x -1) 8))
0.0ms	x	@	-inf	(exp.f64 (*.f64 (fma.f64 x x -1) 8))

rewrite58.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

564×	`pow1_binary64`
523×	`add-log-exp_binary64`
523×	`log1p-expm1-u_binary64`
523×	`expm1-log1p-u_binary64`
513×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	132	10
2	1410	10

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(exp.f64 (*.f64 (fma.f64 x x -1) 8))

Outputs

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

simplify45.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

522×	`fma-def_binary64`
454×	`associate-l_binary64`
419×	`associate-r_binary64`
370×	`unswap-sqr_binary64`
289×	`exp-prod_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	409
1	166	407
2	524	405
3	3133	393
4	5862	392

Stop Event

1×	node limit

Counts

33 → 43

Calls

Call 1

Inputs
(exp.f64 -8)
(+.f64 (.f64 8 (.f64 (exp.f64 -8) (pow.f64 x 2))) (exp.f64 -8))
(+.f64 (.f64 8 (.f64 (exp.f64 -8) (pow.f64 x 2))) (+.f64 (.f64 32 (.f64 (exp.f64 -8) (pow.f64 x 4))) (exp.f64 -8)))
(+.f64 (.f64 8 (.f64 (exp.f64 -8) (pow.f64 x 2))) (+.f64 (.f64 32 (.f64 (exp.f64 -8) (pow.f64 x 4))) (+.f64 (exp.f64 -8) (.f64 256/3 (.f64 (exp.f64 -8) (pow.f64 x 6))))))
(exp.f64 (*.f64 8 (fma.f64 x x -1)))
(exp.f64 (*.f64 8 (fma.f64 x x -1)))
(exp.f64 (*.f64 8 (fma.f64 x x -1)))
(exp.f64 (*.f64 8 (fma.f64 x x -1)))
(exp.f64 (*.f64 8 (fma.f64 x x -1)))
(exp.f64 (*.f64 8 (fma.f64 x x -1)))
(exp.f64 (*.f64 8 (fma.f64 x x -1)))
(exp.f64 (*.f64 8 (fma.f64 x x -1)))
(+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -1) 8)))
(-.f64 (+.f64 1 (pow.f64 (exp.f64 8) (fma.f64 x x -1))) 1)
(*.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1)) 1)
(*.f64 1 (pow.f64 (exp.f64 8) (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 16)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 16)) (cbrt.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1))))
(*.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 4) (pow.f64 (exp.f64 (fma.f64 x x -1)) 4))
(pow.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1)) 1)
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1)) 3) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1))) 3)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 4) 2)
(pow.f64 (exp.f64 (pow.f64 (.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 2)) (.f64 (cbrt.f64 (fma.f64 x x -1)) 2))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (fma.f64 x x -1) 8))) (sqrt.f64 (.f64 (fma.f64 x x -1) 8)))
(pow.f64 (exp.f64 1) (*.f64 (fma.f64 x x -1) 8))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 16))
(log.f64 (exp.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1))))

Outputs
(exp.f64 -8)
(+.f64 (.f64 8 (.f64 (exp.f64 -8) (pow.f64 x 2))) (exp.f64 -8))
(fma.f64 8 (.f64 (exp.f64 -8) (.f64 x x)) (exp.f64 -8))
(.f64 (+.f64 (.f64 8 (*.f64 x x)) 1) (exp.f64 -8))
(.f64 (fma.f64 8 (.f64 x x) 1) (exp.f64 -8))
(+.f64 (.f64 8 (.f64 (exp.f64 -8) (pow.f64 x 2))) (+.f64 (.f64 32 (.f64 (exp.f64 -8) (pow.f64 x 4))) (exp.f64 -8)))
(fma.f64 8 (.f64 (exp.f64 -8) (.f64 x x)) (fma.f64 32 (*.f64 (exp.f64 -8) (pow.f64 x 4)) (exp.f64 -8)))
(+.f64 (exp.f64 -8) (.f64 (exp.f64 -8) (+.f64 (.f64 8 (.f64 x x)) (.f64 32 (pow.f64 x 4)))))
(.f64 (exp.f64 -8) (+.f64 (.f64 8 (*.f64 x x)) (fma.f64 32 (pow.f64 x 4) 1)))
(fma.f64 (exp.f64 -8) (fma.f64 8 (.f64 x x) (.f64 32 (pow.f64 x 4))) (exp.f64 -8))
(+.f64 (.f64 8 (.f64 (exp.f64 -8) (pow.f64 x 2))) (+.f64 (.f64 32 (.f64 (exp.f64 -8) (pow.f64 x 4))) (+.f64 (exp.f64 -8) (.f64 256/3 (.f64 (exp.f64 -8) (pow.f64 x 6))))))
(fma.f64 8 (.f64 (exp.f64 -8) (.f64 x x)) (+.f64 (fma.f64 32 (.f64 (exp.f64 -8) (pow.f64 x 4)) (exp.f64 -8)) (.f64 256/3 (*.f64 (exp.f64 -8) (pow.f64 x 6)))))
(fma.f64 8 (.f64 (exp.f64 -8) (.f64 x x)) (fma.f64 32 (.f64 (exp.f64 -8) (pow.f64 x 4)) (fma.f64 256/3 (.f64 (exp.f64 -8) (pow.f64 x 6)) (exp.f64 -8))))
(+.f64 (.f64 (+.f64 (.f64 8 (.f64 x x)) 1) (exp.f64 -8)) (.f64 (exp.f64 -8) (+.f64 (.f64 256/3 (pow.f64 x 6)) (.f64 32 (pow.f64 x 4)))))
(fma.f64 (exp.f64 -8) (fma.f64 256/3 (pow.f64 x 6) (.f64 8 (.f64 x x))) (*.f64 (fma.f64 32 (pow.f64 x 4) 1) (exp.f64 -8)))
(.f64 (exp.f64 -8) (+.f64 (+.f64 (.f64 8 (.f64 x x)) (fma.f64 32 (pow.f64 x 4) 1)) (.f64 256/3 (pow.f64 x 6))))
(exp.f64 (*.f64 8 (fma.f64 x x -1)))
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(exp.f64 (*.f64 8 (fma.f64 x x -1)))
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(exp.f64 (*.f64 8 (fma.f64 x x -1)))
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(exp.f64 (*.f64 8 (fma.f64 x x -1)))
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(exp.f64 (*.f64 8 (fma.f64 x x -1)))
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(exp.f64 (*.f64 8 (fma.f64 x x -1)))
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(exp.f64 (*.f64 8 (fma.f64 x x -1)))
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(exp.f64 (*.f64 8 (fma.f64 x x -1)))
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -1) 8)))
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(-.f64 (+.f64 1 (pow.f64 (exp.f64 8) (fma.f64 x x -1))) 1)
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(*.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1)) 1)
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(*.f64 1 (pow.f64 (exp.f64 8) (fma.f64 x x -1)))
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 16)))
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 16)) (cbrt.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1))))
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(*.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 4) (pow.f64 (exp.f64 (fma.f64 x x -1)) 4))
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(pow.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1)) 1)
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1)) 3) 1/3)
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1))) 3)
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 4) 2)
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(pow.f64 (exp.f64 (pow.f64 (.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 2)) (.f64 (cbrt.f64 (fma.f64 x x -1)) 2))
(pow.f64 (exp.f64 (pow.f64 (.f64 2 (cbrt.f64 (fma.f64 x x -1))) 2)) (.f64 2 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (fma.f64 x x -1) 8))) (sqrt.f64 (.f64 (fma.f64 x x -1) 8)))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 8 (fma.f64 x x -1)))) (sqrt.f64 (.f64 8 (fma.f64 x x -1))))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (fma.f64 x x -1) 1/8))) (sqrt.f64 (/.f64 (fma.f64 x x -1) 1/8)))
(pow.f64 (exp.f64 1) (*.f64 (fma.f64 x x -1) 8))
(pow.f64 (E.f64) (*.f64 8 (fma.f64 x x -1)))
(pow.f64 (E.f64) (/.f64 (fma.f64 x x -1) 1/8))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 16))
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(log.f64 (exp.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1))))
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1)) 3))
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1))))
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 8) (fma.f64 x x -1))))
(pow.f64 (exp.f64 8) (fma.f64 x x -1))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 8)

eval131.0ms (3.5%)

Compiler: Compiled 4958 to 3970 computations (19.9% saved)

prune38.0ms (1%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	193	0	193
Fresh	0	1	1
Picked	0	1	1
Done	0	7	7
Total	193	9	202

Error

Counts

202 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	52.6b	(+.f64 1 (*.f64 x x))
✓	1.0b	(.f64 (pow.f64 (exp.f64 (.f64 (fma.f64 x x -1) 8)) 1/9) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	0.0b	(exp.f64 (fma.f64 x x -1))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	52.6b	(exp.f64 (*.f64 x x))
✓	0.6b	(exp.f64 -1)
	52.6b	1

Compiler

Compiled 64 to 48 computations (25% saved)

regimes22.0ms (0.6%)

Counts

12 → 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 (fma.f64 x x -1))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
(.f64 (pow.f64 (exp.f64 (.f64 (fma.f64 x x -1) 8)) 1/9) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 8) 1/9) (cbrt.f64 (cbrt.f64 (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)))))

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

Calls

5 calls:

6.0ms	x
5.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
3.0ms	(*.f64 x x)
2.0ms	(-.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 131 to 91 computations (30.5% saved)

regimes40.0ms (1.1%)

Counts

8 → 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 (fma.f64 x x -1))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))

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

Calls

5 calls:

27.0ms	(-.f64 1 (*.f64 x x))
5.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(neg.f64 (-.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 66 to 42 computations (36.4% saved)

regimes26.0ms (0.7%)

Counts

6 → 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))))

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

Calls

5 calls:

13.0ms	(*.f64 x x)
6.0ms	x
2.0ms	(-.f64 1 (*.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 53 to 33 computations (37.7% saved)

regimes7.0ms (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	x
2.0ms	(*.f64 x x)

Results

Error	Segments	Branch
0.6b	1	`x`
0.6b	1	`(*.f64 x x)`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes7.0ms (0.2%)

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:

4.0ms	(*.f64 x x)
3.0ms	x

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	17	31

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 26 to 20 computations (23.1% saved)

soundness95.0ms (2.6%)

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)

end30.0ms (0.8%)

Compiler: Compiled 22 to 16 computations (27.3% saved)

Details

analyze4.0ms (0.1%)

sample853.0ms (23%)

preprocess49.0ms (1.3%)

simplify41.0ms (1.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series7.0ms (0.2%)

rewrite57.0ms (1.5%)

simplify44.0ms (1.2%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite37.0ms (1%)

simplify57.0ms (1.5%)

eval45.0ms (1.2%)

prune40.0ms (1.1%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite52.0ms (1.4%)

simplify58.0ms (1.6%)

localize3.0ms (0.1%)

localize3.0ms (0.1%)

series1.0ms (0%)

rewrite90.0ms (2.4%)

simplify60.0ms (1.6%)

localize11.0ms (0.3%)

series3.0ms (0.1%)

rewrite65.0ms (1.8%)

simplify42.0ms (1.1%)

localize70.0ms (1.9%)

series106.0ms (2.8%)

rewrite57.0ms (1.5%)

simplify77.0ms (2.1%)

eval566.0ms (15.2%)

prune148.0ms (4%)

localize37.0ms (1%)

series2.0ms (0.1%)

rewrite64.0ms (1.7%)

simplify63.0ms (1.7%)

localize4.0ms (0.1%)

eval243.0ms (6.5%)

prune42.0ms (1.1%)

localize85.0ms (2.3%)

series1.0ms (0%)

rewrite58.0ms (1.6%)

simplify45.0ms (1.2%)

eval131.0ms (3.5%)

prune38.0ms (1%)

regimes22.0ms (0.6%)

regimes40.0ms (1.1%)

regimes26.0ms (0.7%)

regimes7.0ms (0.2%)

regimes7.0ms (0.2%)

simplify3.0ms (0.1%)

soundness95.0ms (2.6%)

end30.0ms (0.8%)

Profiling