Details

analyze4.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	49.7%	50.3%	0%	0%	0%	0
0%	0%	49.7%	50.3%	0%	0%	0%	1
0%	0%	49.7%	50.3%	0%	0%	0%	2
50%	24.8%	24.8%	50.3%	0%	0%	0%	3
75%	37.3%	12.4%	50.3%	0%	0%	0%	4
87.5%	43.5%	6.2%	50.3%	0%	0%	0%	5
93.8%	46.6%	3.1%	50.3%	0%	0%	0%	6
96.9%	48.1%	1.6%	50.3%	0%	0%	0%	7
98.4%	48.9%	0.8%	50.3%	0%	0%	0%	8
99.2%	49.3%	0.4%	50.3%	0%	0%	0%	9
99.6%	49.5%	0.2%	50.3%	0%	0%	0%	10
99.8%	49.6%	0.1%	50.3%	0%	0%	0%	11
99.9%	49.6%	0%	50.3%	0%	0%	0%	12

Compiler

Compiled 16 to 12 computations (25% saved)

sample10.2s (75.6%)

Results

7.8s	4120×	body	2048	valid
1.6s	2127×	body	1024	valid
270.0ms	1035×	body	512	valid
242.0ms	733×	body	256	valid
186.0ms	241×	body	4096	valid

Bogosity

preprocess19.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

39×	`fma-def_binary64`
32×	`fma-neg_binary64`
15×	`cancel-sign-sub-inv_binary64`
12×	`sub-neg_binary64`
10×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	11	12
2	17	12
3	25	12
4	35	12
5	53	12
6	90	12
7	124	12
8	168	12
9	204	12
10	230	12
11	232	12
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

39×	`fma-def_binary64`
32×	`fma-neg_binary64`
15×	`cancel-sign-sub-inv_binary64`
12×	`sub-neg_binary64`
10×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	11	12
2	17	12
3	25	12
4	35	12
5	53	12
6	90	12
7	124	12
8	168	12
9	204	12
10	230	12
11	232	12

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))

eval1.0ms (0%)

Compiler: Compiled 17 to 12 computations (29.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

60.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	60.1b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (tan.f64 x))
✓	2.8b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

Compiler

Compiled 20 to 12 computations (40% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
1.0ms	x	@	0	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
1.0ms	x	@	-inf	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
0.0ms	x	@	inf	(/.f64 1 (tan.f64 x))
0.0ms	x	@	-inf	(/.f64 1 (tan.f64 x))

rewrite48.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

883×	`pow1_binary64`
823×	`add-log-exp_binary64`
823×	`log1p-expm1-u_binary64`
823×	`expm1-log1p-u_binary64`
805×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	160	18
2	2365	18

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

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

Outputs

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

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

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

743×	`fma-def_binary64`
446×	`associate-/l*_binary64`
338×	`associate-/r*_binary64`
330×	`fma-neg_binary64`
298×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	1307
1	527	1220
2	1708	1158
3	7618	1158

Stop Event

1×	node limit

Counts

88 → 109

Calls

Call 1

Inputs
(*.f64 1/3 x)
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (+.f64 (.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(+.f64 (.f64 1/3 x) (+.f64 (.f64 2/945 (pow.f64 x 5)) (+.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 1/4725 (pow.f64 x 7)))))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(/.f64 1 x)
(+.f64 (*.f64 -1/3 x) (/.f64 1 x))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (+.f64 (.f64 -1/3 x) (/.f64 1 x)))
(+.f64 (.f64 -2/945 (pow.f64 x 5)) (+.f64 (.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x))))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (tan.f64 x)) 1))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 x))
(*.f64 1 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) 1)
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) 2) (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (sqrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 1 x) (tan.f64 x)))
(*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 (/.f64 1 x) (tan.f64 x))))))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)))
(/.f64 1 (/.f64 (*.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 (/.f64 1 x) (tan.f64 x)))) (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 (/.f64 1 x) (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (neg.f64 (*.f64 (tan.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (neg.f64 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 (/.f64 1 x) (tan.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (-.f64 (neg.f64 (tan.f64 x)) (.f64 (neg.f64 x) 1)) (.f64 (neg.f64 x) (tan.f64 x)))
(/.f64 (-.f64 (neg.f64 (tan.f64 x)) (.f64 x -1)) (.f64 x (neg.f64 (tan.f64 x))))
(/.f64 (-.f64 (.f64 -1 (neg.f64 (tan.f64 x))) (.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (neg.f64 (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 -1 (tan.f64 x)) 3)) (+.f64 (pow.f64 x -2) (-.f64 (.f64 (/.f64 -1 (tan.f64 x)) (/.f64 -1 (tan.f64 x))) (.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (/.f64 -1 (tan.f64 x)) (/.f64 -1 (tan.f64 x)))) (-.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
(pow.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) 1)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) 3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(exp.f64 (log.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(fma.f64 1 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 -1 (tan.f64 x)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 -1 (tan.f64 x)))
(-.f64 (+.f64 1 (/.f64 1 (tan.f64 x))) 1)
(*.f64 1 (/.f64 1 (tan.f64 x)))
(*.f64 (/.f64 1 (tan.f64 x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (cbrt.f64 (tan.f64 x))))
(*.f64 (pow.f64 (tan.f64 x) -1/2) (pow.f64 (tan.f64 x) -1/2))
(*.f64 -1 (/.f64 -1 (tan.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (tan.f64 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) -1) (pow.f64 (sqrt.f64 (tan.f64 x)) -1))
(*.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x))
(pow.f64 (tan.f64 x) -1)
(pow.f64 (/.f64 1 (tan.f64 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) 3)
(pow.f64 (pow.f64 (tan.f64 x) -1/2) 2)
(pow.f64 (pow.f64 (tan.f64 x) -3) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (tan.f64 x))))
(cbrt.f64 (pow.f64 (tan.f64 x) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 x))))
(exp.f64 (neg.f64 (log.f64 (tan.f64 x))))

Outputs
(*.f64 1/3 x)
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(+.f64 (.f64 1/3 x) (+.f64 (.f64 2/945 (pow.f64 x 5)) (*.f64 1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (fma.f64 1/45 (pow.f64 x 3) (*.f64 2/945 (pow.f64 x 5))))
(fma.f64 1/45 (pow.f64 x 3) (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/3 x)))
(+.f64 (.f64 1/3 x) (+.f64 (.f64 2/945 (pow.f64 x 5)) (+.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 1/4725 (pow.f64 x 7)))))
(fma.f64 1/3 x (fma.f64 2/945 (pow.f64 x 5) (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/4725 (pow.f64 x 7)))))
(fma.f64 1/3 x (fma.f64 1/45 (pow.f64 x 3) (fma.f64 2/945 (pow.f64 x 5) (*.f64 1/4725 (pow.f64 x 7)))))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 1 x)
(+.f64 (*.f64 -1/3 x) (/.f64 1 x))
(fma.f64 -1/3 x (/.f64 1 x))
(fma.f64 x -1/3 (/.f64 1 x))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (+.f64 (.f64 -1/3 x) (/.f64 1 x)))
(fma.f64 -1/45 (pow.f64 x 3) (fma.f64 -1/3 x (/.f64 1 x)))
(fma.f64 (pow.f64 x 3) -1/45 (fma.f64 x -1/3 (/.f64 1 x)))
(fma.f64 x -1/3 (fma.f64 (pow.f64 x 3) -1/45 (/.f64 1 x)))
(+.f64 (.f64 -2/945 (pow.f64 x 5)) (+.f64 (.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x))))
(fma.f64 -2/945 (pow.f64 x 5) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 -1/3 x (/.f64 1 x))))
(fma.f64 (pow.f64 x 5) -2/945 (fma.f64 (pow.f64 x 3) -1/45 (fma.f64 x -1/3 (/.f64 1 x))))
(fma.f64 (pow.f64 x 3) -1/45 (fma.f64 (pow.f64 x 5) -2/945 (fma.f64 x -1/3 (/.f64 1 x))))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (tan.f64 x)) 1))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (fma.f64 (/.f64 -1 (tan.f64 x)) 1 (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (tan.f64 x)))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (fma.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (tan.f64 x)) (fma.f64 (/.f64 -1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (tan.f64 x)))))
(fma.f64 -1 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x))) (/.f64 1 x))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) -1/2)) (pow.f64 (tan.f64 x) -1/2) (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(+.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 1 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) 1)
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) 2))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) 2) (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) (sqrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 (/.f64 1 x) (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 (/.f64 1 x) (tan.f64 x))))))
(.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (.f64 x (tan.f64 x)))))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 x -2) (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (pow.f64 (tan.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 x -2) (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (tan.f64 x))))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))
(*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 (tan.f64 x) -1/2)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 1 (/.f64 (*.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 (/.f64 1 x) (tan.f64 x)))) (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))))
(.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (.f64 x (tan.f64 x)))))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 x -2) (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (pow.f64 (tan.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 x -2) (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (tan.f64 x))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 (/.f64 1 x) (tan.f64 x)))))
(.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (.f64 x (tan.f64 x)))))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 x -2) (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (pow.f64 (tan.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 x -2) (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (neg.f64 (*.f64 (tan.f64 x) x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3))) (neg.f64 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 (/.f64 1 x) (tan.f64 x))))))
(.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (tan.f64 x) -2) (/.f64 1 (.f64 x (tan.f64 x)))))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 x -2) (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (pow.f64 (tan.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (tan.f64 x) -3)) (+.f64 (pow.f64 x -2) (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2))) (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))
(/.f64 (-.f64 (neg.f64 (tan.f64 x)) (.f64 (neg.f64 x) 1)) (.f64 (neg.f64 x) (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (-.f64 (neg.f64 (tan.f64 x)) (.f64 x -1)) (.f64 x (neg.f64 (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (-.f64 (.f64 -1 (neg.f64 (tan.f64 x))) (.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (neg.f64 (tan.f64 x))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 -1 (tan.f64 x)) 3)) (+.f64 (pow.f64 x -2) (-.f64 (.f64 (/.f64 -1 (tan.f64 x)) (/.f64 -1 (tan.f64 x))) (.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))))
(/.f64 (+.f64 (pow.f64 x -3) (/.f64 -1 (pow.f64 (tan.f64 x) 3))) (+.f64 (pow.f64 x -2) (*.f64 (/.f64 -1 (tan.f64 x)) (-.f64 (/.f64 -1 (tan.f64 x)) (/.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x -3) (/.f64 -1 (pow.f64 (tan.f64 x) 3))) (+.f64 (pow.f64 x -2) (+.f64 (/.f64 (/.f64 1 x) (tan.f64 x)) (pow.f64 (tan.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 -1 (tan.f64 x)) 3)) (+.f64 (pow.f64 x -2) (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (/.f64 -1 (tan.f64 x)) (/.f64 -1 (tan.f64 x)))) (-.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x))))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (tan.f64 x) -2)) (+.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(pow.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) 1)
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) 3) 1/3)
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) 3)
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))) 2)
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) 2))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(log.f64 (exp.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x))) 3))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(exp.f64 (log.f64 (-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(fma.f64 1 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 -1 (tan.f64 x)))
(+.f64 (/.f64 -1 (tan.f64 x)) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 -1 (tan.f64 x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (tan.f64 x)))
(-.f64 (+.f64 1 (/.f64 1 (tan.f64 x))) 1)
(+.f64 (+.f64 1 (/.f64 1 (tan.f64 x))) -1)
(+.f64 (/.f64 1 (tan.f64 x)) 0)
(/.f64 1 (tan.f64 x))
(*.f64 1 (/.f64 1 (tan.f64 x)))
(+.f64 (+.f64 1 (/.f64 1 (tan.f64 x))) -1)
(+.f64 (/.f64 1 (tan.f64 x)) 0)
(/.f64 1 (tan.f64 x))
(*.f64 (/.f64 1 (tan.f64 x)) 1)
(+.f64 (+.f64 1 (/.f64 1 (tan.f64 x))) -1)
(+.f64 (/.f64 1 (tan.f64 x)) 0)
(/.f64 1 (tan.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (cbrt.f64 (tan.f64 x)))
(*.f64 (pow.f64 (tan.f64 x) -1/2) (pow.f64 (tan.f64 x) -1/2))
(+.f64 (+.f64 1 (/.f64 1 (tan.f64 x))) -1)
(+.f64 (/.f64 1 (tan.f64 x)) 0)
(/.f64 1 (tan.f64 x))
(*.f64 -1 (/.f64 -1 (tan.f64 x)))
(+.f64 (+.f64 1 (/.f64 1 (tan.f64 x))) -1)
(+.f64 (/.f64 1 (tan.f64 x)) 0)
(/.f64 1 (tan.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (tan.f64 x)) -1))
(+.f64 (+.f64 1 (/.f64 1 (tan.f64 x))) -1)
(+.f64 (/.f64 1 (tan.f64 x)) 0)
(/.f64 1 (tan.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) -1) (pow.f64 (sqrt.f64 (tan.f64 x)) -1))
(pow.f64 (sqrt.f64 (tan.f64 x)) -2)
(*.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(pow.f64 (tan.f64 x) -1)
(+.f64 (+.f64 1 (/.f64 1 (tan.f64 x))) -1)
(+.f64 (/.f64 1 (tan.f64 x)) 0)
(/.f64 1 (tan.f64 x))
(pow.f64 (/.f64 1 (tan.f64 x)) 1)
(+.f64 (+.f64 1 (/.f64 1 (tan.f64 x))) -1)
(+.f64 (/.f64 1 (tan.f64 x)) 0)
(/.f64 1 (tan.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) 3)
(+.f64 (+.f64 1 (/.f64 1 (tan.f64 x))) -1)
(+.f64 (/.f64 1 (tan.f64 x)) 0)
(/.f64 1 (tan.f64 x))
(pow.f64 (pow.f64 (tan.f64 x) -1/2) 2)
(+.f64 (+.f64 1 (/.f64 1 (tan.f64 x))) -1)
(+.f64 (/.f64 1 (tan.f64 x)) 0)
(/.f64 1 (tan.f64 x))
(pow.f64 (pow.f64 (tan.f64 x) -3) 1/3)
(cbrt.f64 (pow.f64 (tan.f64 x) -3))
(sqrt.f64 (pow.f64 (tan.f64 x) -2))
(+.f64 (+.f64 1 (/.f64 1 (tan.f64 x))) -1)
(+.f64 (/.f64 1 (tan.f64 x)) 0)
(/.f64 1 (tan.f64 x))
(log.f64 (exp.f64 (/.f64 1 (tan.f64 x))))
(+.f64 (+.f64 1 (/.f64 1 (tan.f64 x))) -1)
(+.f64 (/.f64 1 (tan.f64 x)) 0)
(/.f64 1 (tan.f64 x))
(cbrt.f64 (pow.f64 (tan.f64 x) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 x))))
(+.f64 (+.f64 1 (/.f64 1 (tan.f64 x))) -1)
(+.f64 (/.f64 1 (tan.f64 x)) 0)
(/.f64 1 (tan.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 x))))
(+.f64 (+.f64 1 (/.f64 1 (tan.f64 x))) -1)
(+.f64 (/.f64 1 (tan.f64 x)) 0)
(/.f64 1 (tan.f64 x))
(exp.f64 (neg.f64 (log.f64 (tan.f64 x))))
(+.f64 (+.f64 1 (/.f64 1 (tan.f64 x))) -1)
(+.f64 (/.f64 1 (tan.f64 x)) 0)
(/.f64 1 (tan.f64 x))

eval29.0ms (0.2%)

Compiler: Compiled 1551 to 1009 computations (34.9% saved)

prune15.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	3	110

Error

0.3b

Counts

110 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
▶	0.3b	(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
▶	0.4b	(*.f64 1/3 x)

Compiler

Compiled 23 to 18 computations (21.7% saved)

localize2.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 1/3 x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 1/3 x)
0.0ms	x	@	inf	(*.f64 1/3 x)
0.0ms	x	@	0	(*.f64 1/3 x)

rewrite34.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`pow1_binary64`
337×	`add-sqr-sqrt_binary64`
329×	`*-un-lft-identity_binary64`
320×	`add-log-exp_binary64`
320×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	80	4
2	872	4

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 1/3 x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 1/3 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) 1/6)) (log.f64 (pow.f64 (exp.f64 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 1/3 x)) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 1/3 x)) (+.f64 1 (.f64 1/3 x))) (+.f64 1 (.f64 (+.f64 1 (.f64 1/3 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 1 (.f64 1/3 x)) (+.f64 1 (.f64 1/3 x))) 1) (+.f64 (+.f64 1 (.f64 1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/3 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/3 x)))) (sqrt.f64 (log.f64 (.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/3 x))) 2)) (cbrt.f64 (log.f64 (.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 1/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 1/3 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/3 x))) 2))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 1/3 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) 1/6)) (log.f64 (pow.f64 (exp.f64 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 1/3 x)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 1/3 x)) (+.f64 1 (*.f64 1/3 x))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 1/3 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 1/3 x)) (+.f64 1 (*.f64 1/3 x))) 1) (+.f64 (+.f64 1 (*.f64 1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/3 x)))) (sqrt.f64 (log.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/3 x))) 2)) (cbrt.f64 (log.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/3 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 x))) 2))))))

simplify35.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

785×	`times-frac_binary64`
418×	`distribute-rgt-out_binary64`
371×	`fma-neg_binary64`
327×	`fma-def_binary64`
302×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	312
1	189	183
2	582	179
3	3187	179

Stop Event

1×	node limit

Counts

25 → 30

Calls

Call 1

Inputs
(+.f64 (+.f64 1 (*.f64 1/3 x)) -1)
(+.f64 0 (*.f64 1/3 x))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) 1/6)) (log.f64 (pow.f64 (exp.f64 x) 1/6)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x)))))
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 1/3 x)) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 1/3 x)) (+.f64 1 (.f64 1/3 x))) (+.f64 1 (.f64 (+.f64 1 (.f64 1/3 x)) 1))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 1/3 x)) (+.f64 1 (.f64 1/3 x))) 1) (+.f64 (+.f64 1 (.f64 1/3 x)) 1))
(pow.f64 (*.f64 1/3 x) 1)
(pow.f64 (pow.f64 (*.f64 1/3 x) 2) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 1/27) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 1/3 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/3 x)))) (sqrt.f64 (log.f64 (.f64 1/3 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/3 x))) 2)) (cbrt.f64 (log.f64 (.f64 1/3 x))))
(sqrt.f64 (pow.f64 (*.f64 1/3 x) 2))
(fabs.f64 (*.f64 1/3 x))
(log.f64 (cbrt.f64 (exp.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(expm1.f64 (log1p.f64 (*.f64 1/3 x)))
(log1p.f64 (expm1.f64 (*.f64 1/3 x)))
(exp.f64 (log.f64 (*.f64 1/3 x)))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 1/3 x))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/3 x))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/3 x))) 2))

Outputs
(+.f64 (+.f64 1 (*.f64 1/3 x)) -1)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(*.f64 1/3 x)
(+.f64 0 (*.f64 1/3 x))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(*.f64 1/3 x)
(+.f64 (log.f64 (pow.f64 (exp.f64 x) 1/6)) (log.f64 (pow.f64 (exp.f64 x) 1/6)))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(*.f64 1/3 x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x)))))
(-.f64 (+.f64 1 (*.f64 1/3 x)) 1)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(*.f64 1/3 x)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 1/3 x)) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 1/3 x)) (+.f64 1 (.f64 1/3 x))) (+.f64 1 (.f64 (+.f64 1 (.f64 1/3 x)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 1/3 x)) 3) -1) (fma.f64 (+.f64 1 (.f64 1/3 x)) (+.f64 1 (.f64 1/3 x)) (+.f64 1 (+.f64 1 (.f64 1/3 x)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 3)) (fma.f64 (fma.f64 1/3 x 1) (fma.f64 1/3 x 1) (+.f64 (*.f64 1/3 x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/3 x 1) (fma.f64 1/3 x 2))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 1/3 x)) (+.f64 1 (.f64 1/3 x))) 1) (+.f64 (+.f64 1 (.f64 1/3 x)) 1))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(*.f64 1/3 x)
(pow.f64 (*.f64 1/3 x) 1)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(*.f64 1/3 x)
(pow.f64 (pow.f64 (*.f64 1/3 x) 2) 1/2)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(*.f64 1/3 x)
(pow.f64 (*.f64 (pow.f64 x 3) 1/27) 1/3)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(*.f64 1/3 x)
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(*.f64 1/3 x)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(*.f64 1/3 x)
(pow.f64 (E.f64) (log.f64 (*.f64 1/3 x)))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(*.f64 1/3 x)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/3 x)))) (sqrt.f64 (log.f64 (.f64 1/3 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/3 x))) 2)) (cbrt.f64 (log.f64 (.f64 1/3 x))))
(sqrt.f64 (pow.f64 (*.f64 1/3 x) 2))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(*.f64 1/3 x)
(fabs.f64 (*.f64 1/3 x))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(*.f64 1/3 x)
(log.f64 (cbrt.f64 (exp.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(*.f64 1/3 x)
(expm1.f64 (log1p.f64 (*.f64 1/3 x)))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 1/3 x)))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(*.f64 1/3 x)
(exp.f64 (log.f64 (*.f64 1/3 x)))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(*.f64 1/3 x)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 1/3 x))) 1/3))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(*.f64 1/3 x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/3 x))) 3))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(*.f64 1/3 x)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/3 x))) 2))
(+.f64 1 (-.f64 (*.f64 1/3 x) 1))
(*.f64 1/3 x)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
✓	0.1b	(*.f64 1/45 (pow.f64 x 3))
	0.3b	(*.f64 1/3 x)

Compiler

Compiled 25 to 19 computations (24% saved)

series3.0ms (0%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 1/45 (pow.f64 x 3))
1.0ms	x	@	inf	(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
0.0ms	x	@	inf	(*.f64 1/45 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 1/45 (pow.f64 x 3))
0.0ms	x	@	0	(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))

rewrite51.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`pow1_binary64`
874×	`add-log-exp_binary64`
874×	`log1p-expm1-u_binary64`
874×	`expm1-log1p-u_binary64`
857×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	201	18
2	2398	18

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/45 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/45 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 1/45)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/2025))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/45 (pow.f64 x 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 1/9) (+.f64 (*.f64 x 1/3) (*.f64 -1/45 (pow.f64 x 3)))) (/.f64 (*.f64 (pow.f64 x 6) 1/2025) (+.f64 (*.f64 x 1/3) (*.f64 -1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))) (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2) (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/9) (-.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 1/9) (*.f64 (pow.f64 x 6) 1/2025)) (/.f64 1 (+.f64 (*.f64 x 1/3) (*.f64 -1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/9) (-.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))) (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 x 1/3) (*.f64 -1/45 (pow.f64 x 3))) (-.f64 (*.f64 (*.f64 x x) 1/9) (*.f64 (pow.f64 x 6) 1/2025))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) (+.f64 (*.f64 (*.f64 x x) 1/9) (-.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (-.f64 (*.f64 (*.f64 x x) 1/9) (*.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 1/9) (*.f64 (pow.f64 x 6) 1/2025)) (+.f64 (*.f64 x 1/3) (*.f64 -1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/9) (-.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/9) (*.f64 (pow.f64 x 6) 1/2025))) (neg.f64 (+.f64 (*.f64 x 1/3) (*.f64 -1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 x x) 1/9)) (-.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 1/45 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/3) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/9)) (cbrt.f64 (*.f64 x 1/3)) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 1/45)) 2) (*.f64 x (cbrt.f64 1/45)) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (*.f64 x 1/3))))))

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

891×	`fma-neg_binary64`
407×	`distribute-rgt-neg-in_binary64`
393×	`div-sub_binary64`
345×	`fma-def_binary64`
298×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	985
1	298	873
2	1038	778
3	4302	778

Stop Event

1×	node limit

Counts

51 → 62

Calls

Call 1

Inputs
(*.f64 1/3 x)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 1/45 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 1/45 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 1/45)) 3)
(pow.f64 (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/2025))
(log.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125))
(expm1.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 1/45 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 1/45 (pow.f64 x 3))))
(-.f64 (+.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))) 1)
(-.f64 (/.f64 (.f64 (.f64 x x) 1/9) (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3)))) (/.f64 (.f64 (pow.f64 x 6) 1/2025) (+.f64 (.f64 x 1/3) (*.f64 -1/45 (pow.f64 x 3)))))
(.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3)) 1)
(.f64 1 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3)))
(.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3))) (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3))) 2) (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3))) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/27) (.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 1/9) (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3))))))
(.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025)) (/.f64 1 (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 1/9) (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 x 1/3)))) (+.f64 (.f64 (pow.f64 x 3) 1/27) (.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125))))
(/.f64 1 (/.f64 (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3))) (-.f64 (.f64 (.f64 x x) 1/9) (*.f64 (pow.f64 x 6) 1/2025))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/27) (.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) (+.f64 (.f64 (.f64 x x) 1/9) (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 x 1/3)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/27) (.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) (+.f64 (.f64 (pow.f64 x 6) 1/2025) (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 x 1/3)))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025)) (+.f64 (.f64 x 1/3) (*.f64 -1/45 (pow.f64 x 3))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/27) (.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125))) (neg.f64 (+.f64 (.f64 (.f64 x x) 1/9) (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 x 1/3))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025))) (neg.f64 (+.f64 (.f64 x 1/3) (*.f64 -1/45 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 x x) 1/9)) (-.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))
(pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)) 1)
(pow.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)) 2))
(log.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(cbrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(log1p.f64 (expm1.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(exp.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) 1/45 (*.f64 x 1/3))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1 (.f64 1/45 (pow.f64 x 3)) (.f64 x 1/3))
(fma.f64 1 (.f64 x 1/3) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/9)) (cbrt.f64 (.f64 x 1/3)) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 1/45)) 2) (.f64 x (cbrt.f64 1/45)) (*.f64 x 1/3))
(fma.f64 (sqrt.f64 (.f64 x 1/3)) (sqrt.f64 (.f64 x 1/3)) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 (.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (*.f64 x 1/3))

Outputs
(*.f64 1/3 x)
(*.f64 1/45 (pow.f64 x 3))
(*.f64 1/45 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 1/45 (pow.f64 x 3))) 1)
(*.f64 1/45 (pow.f64 x 3))
(pow.f64 (*.f64 1/45 (pow.f64 x 3)) 1)
(*.f64 1/45 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 1/45)) 3)
(*.f64 1/45 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) 2)
(*.f64 1/45 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125))
(cbrt.f64 (.f64 (.f64 x (pow.f64 x 8)) 1/91125))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/2025))
(log.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125))
(cbrt.f64 (.f64 (.f64 x (pow.f64 x 8)) 1/91125))
(expm1.f64 (log1p.f64 (*.f64 1/45 (pow.f64 x 3))))
(*.f64 1/45 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 1/45 (pow.f64 x 3))))
(*.f64 1/45 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 1/45 (pow.f64 x 3))))
(*.f64 1/45 (pow.f64 x 3))
(-.f64 (+.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))) 1)
(+.f64 1 (-.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1))
(+.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 0)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(-.f64 (/.f64 (.f64 (.f64 x x) 1/9) (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3)))) (/.f64 (.f64 (pow.f64 x 6) 1/2025) (+.f64 (.f64 x 1/3) (*.f64 -1/45 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/9)) (.f64 (pow.f64 x 6) 1/2025)) (fma.f64 x 1/3 (.f64 (pow.f64 x 3) -1/45)))
(/.f64 (fma.f64 x (.f64 x 1/9) (.f64 (pow.f64 x 6) -1/2025)) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3)) 1)
(+.f64 1 (-.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1))
(+.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 0)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(.f64 1 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3)))
(+.f64 1 (-.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1))
(+.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 0)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3))) (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2))
(+.f64 1 (-.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1))
(+.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 0)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3))) 2) (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(+.f64 1 (-.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1))
(+.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 0)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3))) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(+.f64 1 (-.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1))
(+.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 0)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/27) (.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 1/9) (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/27 (.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) 1) (fma.f64 (.f64 x x) 1/9 (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125 (.f64 (pow.f64 x 3) 1/27)) (fma.f64 x (.f64 x 1/9) (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/91125 (pow.f64 x 6)) 1/27)) (fma.f64 x (.f64 x 1/9) (fma.f64 (pow.f64 x 6) 1/2025 (.f64 1/3 (*.f64 -1/45 (pow.f64 x 4))))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/91125 (pow.f64 x 6)) 1/27)) (fma.f64 x (.f64 x 1/9) (fma.f64 1/45 (.f64 (pow.f64 x 4) -1/3) (*.f64 (pow.f64 x 6) 1/2025))))
(.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025)) (/.f64 1 (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/9)) (.f64 (pow.f64 x 6) 1/2025)) (fma.f64 x 1/3 (.f64 (pow.f64 x 3) -1/45)))
(/.f64 (fma.f64 x (.f64 x 1/9) (.f64 (pow.f64 x 6) -1/2025)) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 1/9) (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 x 1/3)))) (+.f64 (.f64 (pow.f64 x 3) 1/27) (.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/27 (.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) 1) (fma.f64 (.f64 x x) 1/9 (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125 (.f64 (pow.f64 x 3) 1/27)) (fma.f64 x (.f64 x 1/9) (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/91125 (pow.f64 x 6)) 1/27)) (fma.f64 x (.f64 x 1/9) (fma.f64 (pow.f64 x 6) 1/2025 (.f64 1/3 (*.f64 -1/45 (pow.f64 x 4))))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/91125 (pow.f64 x 6)) 1/27)) (fma.f64 x (.f64 x 1/9) (fma.f64 1/45 (.f64 (pow.f64 x 4) -1/3) (*.f64 (pow.f64 x 6) 1/2025))))
(/.f64 1 (/.f64 (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3))) (-.f64 (.f64 (.f64 x x) 1/9) (*.f64 (pow.f64 x 6) 1/2025))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/9)) (.f64 (pow.f64 x 6) 1/2025)) (fma.f64 x 1/3 (.f64 (pow.f64 x 3) -1/45)))
(/.f64 (fma.f64 x (.f64 x 1/9) (.f64 (pow.f64 x 6) -1/2025)) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/27) (.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) (+.f64 (.f64 (.f64 x x) 1/9) (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 x 1/3)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/27 (.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) 1) (fma.f64 (.f64 x x) 1/9 (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125 (.f64 (pow.f64 x 3) 1/27)) (fma.f64 x (.f64 x 1/9) (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/91125 (pow.f64 x 6)) 1/27)) (fma.f64 x (.f64 x 1/9) (fma.f64 (pow.f64 x 6) 1/2025 (.f64 1/3 (*.f64 -1/45 (pow.f64 x 4))))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/91125 (pow.f64 x 6)) 1/27)) (fma.f64 x (.f64 x 1/9) (fma.f64 1/45 (.f64 (pow.f64 x 4) -1/3) (*.f64 (pow.f64 x 6) 1/2025))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/27) (.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) (+.f64 (.f64 (pow.f64 x 6) 1/2025) (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 x 1/3)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/27 (.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) 1) (fma.f64 (.f64 x x) 1/9 (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125 (.f64 (pow.f64 x 3) 1/27)) (fma.f64 x (.f64 x 1/9) (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/91125 (pow.f64 x 6)) 1/27)) (fma.f64 x (.f64 x 1/9) (fma.f64 (pow.f64 x 6) 1/2025 (.f64 1/3 (*.f64 -1/45 (pow.f64 x 4))))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/91125 (pow.f64 x 6)) 1/27)) (fma.f64 x (.f64 x 1/9) (fma.f64 1/45 (.f64 (pow.f64 x 4) -1/3) (*.f64 (pow.f64 x 6) 1/2025))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025)) (+.f64 (.f64 x 1/3) (*.f64 -1/45 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/9)) (.f64 (pow.f64 x 6) 1/2025)) (fma.f64 x 1/3 (.f64 (pow.f64 x 3) -1/45)))
(/.f64 (fma.f64 x (.f64 x 1/9) (.f64 (pow.f64 x 6) -1/2025)) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/27) (.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125))) (neg.f64 (+.f64 (.f64 (.f64 x x) 1/9) (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 x 1/3))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/27 (.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125)) 1) (fma.f64 (.f64 x x) 1/9 (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/91125 (.f64 (pow.f64 x 3) 1/27)) (fma.f64 x (.f64 x 1/9) (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x -1/3)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/91125 (pow.f64 x 6)) 1/27)) (fma.f64 x (.f64 x 1/9) (fma.f64 (pow.f64 x 6) 1/2025 (.f64 1/3 (*.f64 -1/45 (pow.f64 x 4))))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/91125 (pow.f64 x 6)) 1/27)) (fma.f64 x (.f64 x 1/9) (fma.f64 1/45 (.f64 (pow.f64 x 4) -1/3) (*.f64 (pow.f64 x 6) 1/2025))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025))) (neg.f64 (+.f64 (.f64 x 1/3) (*.f64 -1/45 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/9)) (.f64 (pow.f64 x 6) 1/2025)) (fma.f64 x 1/3 (.f64 (pow.f64 x 3) -1/45)))
(/.f64 (fma.f64 x (.f64 x 1/9) (.f64 (pow.f64 x 6) -1/2025)) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 x x) 1/9)) (-.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/9)) (.f64 (pow.f64 x 6) 1/2025)) (fma.f64 x 1/3 (.f64 (pow.f64 x 3) -1/45)))
(/.f64 (fma.f64 x (.f64 x 1/9) (.f64 (pow.f64 x 6) -1/2025)) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)) 1)
(+.f64 1 (-.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1))
(+.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 0)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(pow.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1))
(+.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 0)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))) 3)
(+.f64 1 (-.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1))
(+.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 0)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(pow.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2)
(+.f64 1 (-.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1))
(+.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 0)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(sqrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)) 2))
(+.f64 1 (-.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1))
(+.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 0)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(log.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(+.f64 1 (-.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1))
(+.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 0)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)) 3))
(+.f64 1 (-.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1))
(+.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 0)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(+.f64 1 (-.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1))
(+.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 0)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(log1p.f64 (expm1.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(+.f64 1 (-.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1))
(+.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 0)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(exp.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(+.f64 1 (-.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1))
(+.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 0)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))
(+.f64 1 (-.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1))
(+.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 0)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 1/45 (pow.f64 x 3)))
(+.f64 1 (-.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1))
(+.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 0)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) 1/45 (*.f64 x 1/3))
(+.f64 1 (-.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1))
(+.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 0)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 1 (-.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1))
(+.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 0)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1 (.f64 1/45 (pow.f64 x 3)) (.f64 x 1/3))
(+.f64 1 (-.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1))
(+.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 0)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1 (.f64 x 1/3) (.f64 1/45 (pow.f64 x 3)))
(+.f64 1 (-.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1))
(+.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 0)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/9)) (cbrt.f64 (.f64 x 1/3)) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/9))) (cbrt.f64 (.f64 1/3 x)) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/9)) (cbrt.f64 (.f64 1/3 x)) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 1/45)) 2) (.f64 x (cbrt.f64 1/45)) (*.f64 x 1/3))
(+.f64 1 (-.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1))
(+.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 0)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (.f64 x 1/3)) (sqrt.f64 (.f64 x 1/3)) (*.f64 1/45 (pow.f64 x 3)))
(+.f64 1 (-.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1))
(+.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 0)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 (.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (*.f64 x 1/3))
(+.f64 1 (-.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 1))
(+.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x)) 0)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 1/45 (pow.f64 x 3))
✓	0.3b	(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))

Compiler

Compiled 21 to 16 computations (23.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
0.0ms	x	@	0	(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
0.0ms	x	@	inf	(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))

rewrite39.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

691×	`pow1_binary64`
649×	`add-log-exp_binary64`
649×	`log1p-expm1-u_binary64`
649×	`expm1-log1p-u_binary64`
637×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	171	11
2	1766	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/45 (pow.f64 x 3)) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/3 x) 1) (*.f64 1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/3 x) 3) (pow.f64 (*.f64 1/45 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (-.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/3 x) (*.f64 1/3 x)) (*.f64 (pow.f64 x 6) 1/2025)) (-.f64 (*.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))))

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

925×	`fma-neg_binary64`
556×	`associate-l_binary64`
326×	`associate-/l*_binary64`
233×	`cancel-sign-sub-inv_binary64`
229×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	409
1	160	398
2	668	394
3	3399	392
4	7395	392

Stop Event

1×	node limit

Counts

33 → 33

Calls

Call 1

Inputs
(*.f64 1/3 x)
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 1/3 x))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 (.f64 1/3 x) 1) (*.f64 1/45 (pow.f64 x 3)))
(-.f64 (+.f64 1 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 1)
(.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))) 1)
(.f64 1 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))
(.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) 2) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(.f64 (sqrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 (.f64 1/3 x) 3) (pow.f64 (.f64 1/45 (pow.f64 x 3)) 3)) (+.f64 (.f64 (.f64 1/3 x) (.f64 1/3 x)) (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))))
(/.f64 (-.f64 (.f64 (.f64 1/3 x) (.f64 1/3 x)) (.f64 (pow.f64 x 6) 1/2025)) (-.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3))))
(pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 1)
(pow.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 2))
(log.f64 (exp.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(log1p.f64 (expm1.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(exp.f64 (log.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))

Outputs
(*.f64 1/3 x)
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 1/3 x))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 (.f64 1/3 x) 1) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(-.f64 (+.f64 1 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 1)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))) 1)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(.f64 1 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) 2) (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(.f64 (sqrt.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(/.f64 (+.f64 (pow.f64 (.f64 1/3 x) 3) (pow.f64 (.f64 1/45 (pow.f64 x 3)) 3)) (+.f64 (.f64 (.f64 1/3 x) (.f64 1/3 x)) (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))))
(/.f64 (+.f64 (.f64 1/27 (pow.f64 x 3)) (pow.f64 (.f64 1/45 (pow.f64 x 3)) 3)) (+.f64 (.f64 1/9 (.f64 x x)) (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 1/3 (.f64 x (.f64 1/45 (pow.f64 x 3)))))))
(/.f64 (fma.f64 1/91125 (pow.f64 (pow.f64 x 3) 3) (.f64 (pow.f64 x 3) 1/27)) (-.f64 (fma.f64 1/9 (.f64 x x) (.f64 (pow.f64 x 6) 1/2025)) (.f64 (pow.f64 x 3) (*.f64 x 1/135))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 (pow.f64 x 6) 1/91125) 1/27)) (-.f64 (fma.f64 x (.f64 x 1/9) (.f64 (pow.f64 x 6) 1/2025)) (*.f64 (pow.f64 x 4) 1/135)))
(/.f64 (pow.f64 x 3) (/.f64 (fma.f64 x (.f64 x 1/9) (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (pow.f64 x 4) -1/135))) (+.f64 1/27 (*.f64 (pow.f64 x 6) 1/91125))))
(/.f64 (pow.f64 x 3) (/.f64 (fma.f64 x (.f64 x 1/9) (.f64 (pow.f64 x 4) (fma.f64 1/2025 (.f64 x x) -1/135))) (+.f64 1/27 (.f64 (pow.f64 x 6) 1/91125))))
(/.f64 (-.f64 (.f64 (.f64 1/3 x) (.f64 1/3 x)) (.f64 (pow.f64 x 6) 1/2025)) (-.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 1/9 (.f64 x x)) (.f64 (pow.f64 x 6) 1/2025)) (-.f64 (.f64 1/3 x) (*.f64 1/45 (pow.f64 x 3))))
(/.f64 (fma.f64 1/9 (.f64 x x) (.f64 (pow.f64 x 6) -1/2025)) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 (fma.f64 x (.f64 x 1/9) (.f64 (pow.f64 x 6) -1/2025)) (fma.f64 (pow.f64 x 3) -1/45 (*.f64 1/3 x)))
(pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 1)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(pow.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3) 1/3)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(pow.f64 (cbrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 3)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(pow.f64 (sqrt.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))) 2)
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(sqrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 2))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(log.f64 (exp.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3))) 3))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(log1p.f64 (expm1.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(exp.f64 (log.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))

eval56.0ms (0.4%)

Compiler: Compiled 2426 to 1928 computations (20.5% saved)

prune26.0ms (0.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	161	6	167
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	161	9	170

Error

0.1b

Counts

170 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
▶	32.6b	(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
▶	1.6b	(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
▶	30.7b	(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 x x) 1/9)) (-.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))
	30.8b	(/.f64 1 (/.f64 (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3))) (-.f64 (.f64 (.f64 x x) 1/9) (*.f64 (pow.f64 x 6) 1/2025))))
✓	0.3b	(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
▶	30.9b	(.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025)) (/.f64 1 (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3)))))
✓	0.4b	(*.f64 1/3 x)
▶	42.0b	(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))

Compiler

Compiled 205 to 164 computations (20% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(*.f64 1/3 x)
✓	0.6b	(cbrt.f64 (*.f64 1/3 x))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)

Compiler

Compiled 17 to 13 computations (23.5% saved)

series7.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
0.0ms	x	@	-inf	(cbrt.f64 (*.f64 1/3 x))
0.0ms	x	@	0	(cbrt.f64 (*.f64 1/3 x))

rewrite40.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

515×	`pow1_binary64`
508×	`add-sqr-sqrt_binary64`
487×	`add-log-exp_binary64`
487×	`log1p-expm1-u_binary64`
487×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	148	10
2	1376	10

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(cbrt.f64 (*.f64 1/3 x))

Outputs

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

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

simplify37.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

531×	`unswap-sqr_binary64`
525×	`fma-def_binary64`
478×	`distribute-rgt-in_binary64`
464×	`log-prod_binary64`
445×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	548
1	213	416
2	636	284
3	2765	278

Stop Event

1×	node limit

Counts

49 → 58

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 x 3) 1/27)
✓	41.9b	(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
0.0ms	x	@	-inf	(*.f64 (pow.f64 x 3) 1/27)
0.0ms	x	@	inf	(*.f64 (pow.f64 x 3) 1/27)
0.0ms	x	@	0	(*.f64 (pow.f64 x 3) 1/27)
0.0ms	x	@	0	(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))

rewrite39.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

571×	`pow1_binary64`
539×	`add-log-exp_binary64`
539×	`log1p-expm1-u_binary64`
539×	`expm1-log1p-u_binary64`
526×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	11
2	1528	11

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(*.f64 (pow.f64 x 3) 1/27)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/3)) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 x x) 1/9) 1/3) (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 1/27) (pow.f64 x 3/2)) 1/3) (pow.f64 (*.f64 (sqrt.f64 1/27) (pow.f64 x 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/27)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/27) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/27) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/27) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/729 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/27) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/27) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 1/27)))))))

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

989×	`log-prod_binary64`
678×	`fma-def_binary64`
540×	`fma-neg_binary64`
387×	`unswap-sqr_binary64`
367×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	333
1	194	333
2	678	333
3	2876	324
4	6118	324

Stop Event

1×	node limit

Counts

57 → 39

Calls

Call 1

Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(.f64 -1 (.f64 (cbrt.f64 -1/27) x))
(.f64 -1 (.f64 (cbrt.f64 -1/27) x))
(.f64 -1 (.f64 (cbrt.f64 -1/27) x))
(.f64 -1 (.f64 (cbrt.f64 -1/27) x))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
(*.f64 x 1/3)
(.f64 (.f64 x 1/3) 1)
(.f64 1 (.f64 x 1/3))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/3))
(.f64 (cbrt.f64 (.f64 x 1/3)) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (cbrt.f64 (*.f64 x 1/3)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/3))
(.f64 (sqrt.f64 (.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(.f64 (pow.f64 1 1/3) (.f64 x 1/3))
(.f64 (pow.f64 (.f64 (.f64 x x) 1/9) 1/3) (cbrt.f64 (.f64 x 1/3)))
(.f64 (pow.f64 (.f64 (sqrt.f64 1/27) (pow.f64 x 3/2)) 1/3) (pow.f64 (*.f64 (sqrt.f64 1/27) (pow.f64 x 3/2)) 1/3))
(pow.f64 (*.f64 (pow.f64 x 3) 1/27) 1/3)
(pow.f64 (*.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(sqrt.f64 (.f64 (.f64 x x) 1/9))
(log.f64 (exp.f64 (*.f64 x 1/3)))
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(exp.f64 (log.f64 (*.f64 x 1/3)))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/27)) 1)
(pow.f64 (*.f64 (pow.f64 x 3) 1/27) 1)
(pow.f64 (*.f64 x 1/3) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/27) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 1/27) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 1/729 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 1/27) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/27) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 1/27)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 1/27)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 1/27)))

Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(.f64 -1 (.f64 (cbrt.f64 -1/27) x))
(neg.f64 (*.f64 x (cbrt.f64 -1/27)))
(*.f64 x (neg.f64 (cbrt.f64 -1/27)))
(.f64 -1 (.f64 (cbrt.f64 -1/27) x))
(neg.f64 (*.f64 x (cbrt.f64 -1/27)))
(*.f64 x (neg.f64 (cbrt.f64 -1/27)))
(.f64 -1 (.f64 (cbrt.f64 -1/27) x))
(neg.f64 (*.f64 x (cbrt.f64 -1/27)))
(*.f64 x (neg.f64 (cbrt.f64 -1/27)))
(.f64 -1 (.f64 (cbrt.f64 -1/27) x))
(neg.f64 (*.f64 x (cbrt.f64 -1/27)))
(*.f64 x (neg.f64 (cbrt.f64 -1/27)))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(*.f64 1/27 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(.f64 (.f64 x 1/3) 1)
(*.f64 1/3 x)
(.f64 1 (.f64 x 1/3))
(*.f64 1/3 x)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/3))
(*.f64 1/3 x)
(.f64 (cbrt.f64 (.f64 x 1/3)) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))
(*.f64 1/3 x)
(.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (cbrt.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/3))
(*.f64 1/3 x)
(.f64 (sqrt.f64 (.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(*.f64 1/3 x)
(.f64 (pow.f64 1 1/3) (.f64 x 1/3))
(*.f64 1/3 x)
(.f64 (pow.f64 (.f64 (.f64 x x) 1/9) 1/3) (cbrt.f64 (.f64 x 1/3)))
(*.f64 1/3 x)
(.f64 (pow.f64 (.f64 (sqrt.f64 1/27) (pow.f64 x 3/2)) 1/3) (pow.f64 (*.f64 (sqrt.f64 1/27) (pow.f64 x 3/2)) 1/3))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/27) (pow.f64 x 3/2))) (cbrt.f64 (*.f64 (sqrt.f64 1/27) (pow.f64 x 3/2))))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/27) (pow.f64 x 3/2)) 1/6) 4)
(pow.f64 (*.f64 (pow.f64 x 3) 1/27) 1/3)
(*.f64 1/3 x)
(pow.f64 (*.f64 x 1/3) 1)
(*.f64 1/3 x)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(*.f64 1/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(*.f64 1/3 x)
(sqrt.f64 (.f64 (.f64 x x) 1/9))
(*.f64 1/3 x)
(log.f64 (exp.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(exp.f64 (log.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/27)) 1)
(*.f64 1/27 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3) 1/27) 1)
(*.f64 1/27 (pow.f64 x 3))
(pow.f64 (*.f64 x 1/3) 3)
(*.f64 1/27 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/27) 3) 1/3)
(*.f64 1/27 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 1/27) (pow.f64 x 3/2)) 2)
(*.f64 1/27 (pow.f64 x 3))
(sqrt.f64 (*.f64 1/729 (pow.f64 x 6)))
(*.f64 1/27 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 1/27) (pow.f64 x 3)))
(*.f64 1/27 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/27) 3))
(*.f64 1/27 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 1/27)))
(*.f64 1/27 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 1/27)))
(*.f64 1/27 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 1/27)))
(*.f64 1/27 (pow.f64 x 3))

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (*.f64 1/3 x))
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
	0.3b	(*.f64 1/3 x)

Compiler

Compiled 17 to 13 computations (23.5% saved)

series5.0ms (0%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
0.0ms	x	@	-inf	(sqrt.f64 (*.f64 1/3 x))
0.0ms	x	@	0	(sqrt.f64 (*.f64 1/3 x))

rewrite37.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

497×	`pow1_binary64`
486×	`add-sqr-sqrt_binary64`
464×	`add-log-exp_binary64`
464×	`log1p-expm1-u_binary64`
464×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	146	10
2	1318	10

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(sqrt.f64 (*.f64 1/3 x))

Outputs

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

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

simplify45.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

450×	`distribute-rgt-in_binary64`
429×	`fma-def_binary64`
424×	`distribute-lft-in_binary64`
406×	`unswap-sqr_binary64`
404×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	95	518
1	199	389
2	699	260
3	2768	260
4	7903	260

Stop Event

1×	node limit

Counts

47 → 54

Calls

Call 1

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

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

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 1/45 (pow.f64 x 3))
✓	0.2b	(.f64 (.f64 x x) 1/9)
✓	0.3b	(*.f64 x 1/3)
✓	30.7b	(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 x x) 1/9)) (-.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))

Compiler

Compiled 76 to 53 computations (30.3% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (.f64 x x) 1/9)
1.0ms	x	@	0	(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 x x) 1/9)) (-.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))
1.0ms	x	@	inf	(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 x x) 1/9)) (-.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))
0.0ms	x	@	inf	(.f64 (.f64 x x) 1/9)
0.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 x x) 1/9)) (-.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

891×	`log-prod_binary64`
445×	`fma-neg_binary64`
313×	`expm1-udef_binary64`
313×	`log1p-udef_binary64`
245×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	42
1	428	22
2	5608	22

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 x x) 1/9)) (-.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))
(*.f64 x 1/3)
(.f64 (.f64 x x) 1/9)

Outputs

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(pow.f64 x 3) (*.f64 x -1/3)) (*.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/2025) (-.f64 (*.f64 1/91125 (pow.f64 x 9)) (*.f64 (pow.f64 x 3) 1/27))) (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (*.f64 (*.f64 x 1/3) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)))) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) (*.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/2025) (fma.f64 (pow.f64 x 6) 1/2025 (*.f64 (*.f64 x x) -1/9))) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) (*.f64 x 1/9)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x)) (cbrt.f64 (pow.f64 (exp.f64 1/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/9)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 1/9) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 1/729) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/81 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/9) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) 1/729))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 1/3))) 1))))))

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

603×	`associate-/l*_binary64`
545×	`times-frac_binary64`
418×	`associate-*l/_binary64`
353×	`associate-*r/_binary64`
343×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	293	2765
1	660	2724
2	2251	2313

Stop Event

1×	node limit

Counts

145 → 154

Calls

Call 1

Inputs
(*.f64 1/3 x)
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(*.f64 1/9 (pow.f64 x 2))
(+.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 x 1/3))
(+.f64 (.f64 x 1/3) (.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9)))))
(+.f64 0 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3)))) (cbrt.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3))))))
(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)))) 1)
(.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9)) (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3))))
(.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3)) 1)
(.f64 1 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3)))
(.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3))) (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3))) 2) (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9))) 2) (.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9))) (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))))
(.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3))) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9))) (.f64 (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9))) (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9))) (/.f64 1 (neg.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))))
(.f64 (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3))) (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) 2))) (/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9)) (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9)) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9))) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9))) 1) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9))) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9))) 2) (cbrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) 2))) (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9))) (cbrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) 2))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9))) (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9))) 2) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9))) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9)) (-.f64 (.f64 1/91125 (pow.f64 x 9)) (.f64 (pow.f64 x 3) 1/27))) (+.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 x 1/3) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9)) (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9))) (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3)))
(pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)) 1)
(pow.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2)
(pow.f64 (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))) -1)
(neg.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9)) (neg.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))))
(sqrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)) 2))
(log.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)) (pow.f64 (exp.f64 1/3) x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/45 (pow.f64 x 3)))) (pow.f64 (exp.f64 1/3) x)))
(log.f64 (.f64 (pow.f64 (exp.f64 1/45) (pow.f64 x 3)) (+.f64 1 (expm1.f64 (.f64 x 1/3)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/45 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 x 1/3)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/3) x) (pow.f64 (exp.f64 1/45) (pow.f64 x 3))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/3))) (pow.f64 (exp.f64 1/45) (pow.f64 x 3))))
(log.f64 (.f64 (pow.f64 (exp.f64 1/3) x) (+.f64 1 (expm1.f64 (.f64 1/45 (pow.f64 x 3))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/3))) (+.f64 1 (expm1.f64 (*.f64 1/45 (pow.f64 x 3))))))
(cbrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9)) 3) (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)) 3)))
(expm1.f64 (log1p.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(log1p.f64 (expm1.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(exp.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3))) 1))
(fma.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3))) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (*.f64 x 1/9)))))
(fma.f64 (.f64 (pow.f64 x 6) 1/2025) (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3))) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9)))))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))
(fma.f64 (pow.f64 x 3) 1/45 (*.f64 x 1/3))
(fma.f64 1 (.f64 1/45 (pow.f64 x 3)) (.f64 x 1/3))
(fma.f64 1 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9)))))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 1/2025)) (.f64 x (cbrt.f64 1/45)) (.f64 x 1/3))
(fma.f64 (.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (.f64 (sqrt.f64 1/45) (pow.f64 x 3/2)) (*.f64 x 1/3))
(fma.f64 (.f64 (cbrt.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3))))) (cbrt.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))))) (cbrt.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3))))) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (*.f64 x 1/9)))))
(fma.f64 (sqrt.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3))))) (sqrt.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3))))) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9)))))
(fma.f64 (/.f64 (pow.f64 x 6) 1) (/.f64 1/2025 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3))) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (*.f64 x 1/9)))))
(fma.f64 (/.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12))) 1) (/.f64 (.f64 (.f64 x x) (cbrt.f64 1/2025)) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3))) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9)))))
(fma.f64 (/.f64 (.f64 1/45 (pow.f64 x 3)) 1) (/.f64 (.f64 1/45 (pow.f64 x 3)) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3))) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (*.f64 x 1/9)))))
(fma.f64 (/.f64 (pow.f64 x 6) (cbrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) 2))) (/.f64 1/2025 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9)))))
(fma.f64 (/.f64 1/2025 (cbrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) 2))) (/.f64 (pow.f64 x 6) (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9)))))
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) 2))) (/.f64 (.f64 (pow.f64 x 6) 1/2025) (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (*.f64 x 1/9)))))
(fma.f64 (/.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12))) (cbrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) 2))) (/.f64 (.f64 (.f64 x x) (cbrt.f64 1/2025)) (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (*.f64 x 1/9)))))
(fma.f64 (/.f64 (.f64 1/45 (pow.f64 x 3)) (cbrt.f64 (pow.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) 2))) (/.f64 (.f64 1/45 (pow.f64 x 3)) (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9)))))
(fma.f64 (/.f64 (pow.f64 x 6) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (/.f64 1/2025 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9)))))
(fma.f64 (/.f64 1/2025 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (/.f64 (pow.f64 x 6) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9)))))
(fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (/.f64 (.f64 (pow.f64 x 6) 1/2025) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (*.f64 x 1/9)))))
(fma.f64 (/.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12))) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (/.f64 (.f64 (.f64 x x) (cbrt.f64 1/2025)) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (*.f64 x 1/9)))))
(fma.f64 (/.f64 (.f64 1/45 (pow.f64 x 3)) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (/.f64 (.f64 1/45 (pow.f64 x 3)) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9)))))
(fma.f64 (/.f64 (.f64 (pow.f64 x 6) 1/2025) (-.f64 (.f64 1/91125 (pow.f64 x 9)) (.f64 (pow.f64 x 3) 1/27))) (+.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 x 1/3) (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3)))) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (*.f64 x 1/9)))))
(fma.f64 (/.f64 (.f64 (pow.f64 x 6) 1/2025) (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9))) (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3)) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9)))))
(+.f64 0 (*.f64 x 1/3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x)) (cbrt.f64 (pow.f64 (exp.f64 1/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(pow.f64 (.f64 x (.f64 x 1/9)) 1/2)
(pow.f64 (*.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(pow.f64 (*.f64 (pow.f64 x 3) 1/27) 1/3)
(sqrt.f64 (.f64 x (.f64 x 1/9)))
(fabs.f64 (*.f64 x 1/3))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(exp.f64 (log.f64 (*.f64 x 1/3)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/3)) 1))
(+.f64 0 (.f64 x (.f64 x 1/9)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 1/9) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/9)))) 1)
(pow.f64 (.f64 x (.f64 x 1/9)) 1)
(pow.f64 (*.f64 x 1/3) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/729) 1/3)
(sqrt.f64 (*.f64 1/81 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/9) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/9)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/729))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/9))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/9))))
(exp.f64 (.f64 2 (log.f64 (.f64 x 1/3))))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x 1/3))) 1))

Outputs
(*.f64 1/3 x)
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/9 (pow.f64 x 2))
(.f64 x (.f64 x 1/9))
(.f64 1/9 (.f64 x x))
(*.f64 1/9 (pow.f64 x 2))
(.f64 x (.f64 x 1/9))
(.f64 1/9 (.f64 x x))
(*.f64 1/9 (pow.f64 x 2))
(.f64 x (.f64 x 1/9))
(.f64 1/9 (.f64 x x))
(*.f64 1/9 (pow.f64 x 2))
(.f64 x (.f64 x 1/9))
(.f64 1/9 (.f64 x x))
(*.f64 1/9 (pow.f64 x 2))
(.f64 x (.f64 x 1/9))
(.f64 1/9 (.f64 x x))
(*.f64 1/9 (pow.f64 x 2))
(.f64 x (.f64 x 1/9))
(.f64 1/9 (.f64 x x))
(*.f64 1/9 (pow.f64 x 2))
(.f64 x (.f64 x 1/9))
(.f64 1/9 (.f64 x x))
(*.f64 1/9 (pow.f64 x 2))
(.f64 x (.f64 x 1/9))
(.f64 1/9 (.f64 x x))
(*.f64 1/9 (pow.f64 x 2))
(.f64 x (.f64 x 1/9))
(.f64 1/9 (.f64 x x))
(*.f64 1/9 (pow.f64 x 2))
(.f64 x (.f64 x 1/9))
(.f64 1/9 (.f64 x x))
(*.f64 1/9 (pow.f64 x 2))
(.f64 x (.f64 x 1/9))
(.f64 1/9 (.f64 x x))
(*.f64 1/9 (pow.f64 x 2))
(.f64 x (.f64 x 1/9))
(.f64 1/9 (.f64 x x))
(+.f64 (.f64 1/45 (pow.f64 x 3)) (.f64 x 1/3))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 x 1/3) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9)))))
(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9))))
(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) x)) 1/9))
(/.f64 (fma.f64 1/2025 (pow.f64 x 6) (.f64 (.f64 x x) -1/9)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))
(+.f64 0 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3)))) (cbrt.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 (exp.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3)))))))
(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9))))
(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) x)) 1/9))
(/.f64 (fma.f64 1/2025 (pow.f64 x 6) (.f64 (.f64 x x) -1/9)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3)))) 1)
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9)) (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3))))
(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9))))
(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) x)) 1/9))
(/.f64 (fma.f64 1/2025 (pow.f64 x 6) (.f64 (.f64 x x) -1/9)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))
(.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3)) 1)
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(.f64 1 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3))) (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3))) 2) (cbrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9))) 2) (.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9))) (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))))
(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9))))
(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) x)) 1/9))
(/.f64 (fma.f64 1/2025 (pow.f64 x 6) (.f64 (.f64 x x) -1/9)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))
(.f64 (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3))) (sqrt.f64 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9))) (.f64 (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9))) (/.f64 1 (fma.f64 1/45 (pow.f64 x 3) (*.f64 x -1/3)))))
(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9))))
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(fma.f64 (fma.f64 (.f64 1/3 x) (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))) (.f64 1/2025 (pow.f64 x 6))) (/.f64 (pow.f64 x 6) (-.f64 (/.f64 (pow.f64 x 9) 45) (/.f64 (pow.f64 x 3) 1/75))) (.f64 (/.f64 x (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3))) (.f64 x -1/9)))
(fma.f64 (/.f64 (.f64 (pow.f64 x 6) 1/2025) (fma.f64 (pow.f64 x 6) 1/2025 (.f64 (.f64 x x) -1/9))) (fma.f64 1/45 (pow.f64 x 3) (.f64 x 1/3)) (neg.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9)))))
(fma.f64 (/.f64 (.f64 1/2025 (pow.f64 x 6)) (fma.f64 (pow.f64 x 6) 1/2025 (.f64 x (.f64 x -1/9)))) (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))) (/.f64 (neg.f64 x) (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9))))
(fma.f64 (/.f64 1/2025 (/.f64 (fma.f64 1/2025 (pow.f64 x 6) (.f64 (.f64 x x) -1/9)) (pow.f64 x 6))) (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))) (.f64 (/.f64 x (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3))) (neg.f64 (.f64 x 1/9))))
(fma.f64 (fma.f64 1/3 x (.f64 1/45 (pow.f64 x 3))) (.f64 (pow.f64 x 6) (/.f64 1/2025 (fma.f64 1/2025 (pow.f64 x 6) (.f64 (.f64 x x) -1/9)))) (.f64 (/.f64 x (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3))) (*.f64 x -1/9)))
(+.f64 0 (*.f64 x 1/3))
(*.f64 1/3 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x)) (cbrt.f64 (pow.f64 (exp.f64 1/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) x))))
(*.f64 1/3 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)
(*.f64 1/3 x)
(pow.f64 (.f64 x (.f64 x 1/9)) 1/2)
(*.f64 1/3 x)
(pow.f64 (*.f64 x 1/3) 1)
(*.f64 1/3 x)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(*.f64 1/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(*.f64 1/3 x)
(pow.f64 (*.f64 (pow.f64 x 3) 1/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(sqrt.f64 (.f64 x (.f64 x 1/9)))
(*.f64 1/3 x)
(fabs.f64 (*.f64 x 1/3))
(*.f64 1/3 x)
(log.f64 (pow.f64 (exp.f64 1/3) x))
(*.f64 1/3 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))
(*.f64 1/3 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(exp.f64 (log.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(exp.f64 (.f64 (log.f64 (.f64 x 1/3)) 1))
(*.f64 1/3 x)
(+.f64 0 (.f64 x (.f64 x 1/9)))
(.f64 x (.f64 x 1/9))
(.f64 1/9 (.f64 x x))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 1/9) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (.f64 x x)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (*.f64 x x)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (.f64 x x)))))
(.f64 x (.f64 x 1/9))
(.f64 1/9 (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/9)))) 1)
(.f64 x (.f64 x 1/9))
(.f64 1/9 (.f64 x x))
(pow.f64 (.f64 x (.f64 x 1/9)) 1)
(.f64 x (.f64 x 1/9))
(.f64 1/9 (.f64 x x))
(pow.f64 (*.f64 x 1/3) 2)
(.f64 x (.f64 x 1/9))
(.f64 1/9 (.f64 x x))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 3)
(.f64 x (.f64 x 1/9))
(.f64 1/9 (.f64 x x))
(pow.f64 (*.f64 (pow.f64 x 6) 1/729) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/729))
(sqrt.f64 (*.f64 1/81 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/9) (*.f64 x x)))
(.f64 x (.f64 x 1/9))
(.f64 1/9 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/9)))))
(.f64 x (.f64 x 1/9))
(.f64 1/9 (.f64 x x))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/729))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/9))))
(.f64 x (.f64 x 1/9))
(.f64 1/9 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/9))))
(.f64 x (.f64 x 1/9))
(.f64 1/9 (.f64 x x))
(exp.f64 (.f64 2 (log.f64 (.f64 x 1/3))))
(.f64 x (.f64 x 1/9))
(.f64 1/9 (.f64 x x))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x 1/3))) 1))
(.f64 x (.f64 x 1/9))
(.f64 1/9 (.f64 x x))

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 x x) 1/9)
✓	0.3b	(/.f64 1 (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3))))
	0.3b	(*.f64 x 1/3)
✓	30.8b	(.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025)) (/.f64 1 (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3)))))

Compiler

Compiled 90 to 65 computations (27.8% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025)) (/.f64 1 (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3)))))
0.0ms	x	@	inf	(/.f64 1 (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3))))
0.0ms	x	@	inf	(.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025)) (/.f64 1 (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3)))))
0.0ms	x	@	-inf	(.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025)) (/.f64 1 (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3)))))
0.0ms	x	@	-inf	(/.f64 1 (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3))))

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`log-prod_binary64`
433×	`fma-neg_binary64`
299×	`expm1-udef_binary64`
299×	`log1p-udef_binary64`
237×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	451	25
2	5747	25

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025)) (/.f64 1 (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3)))))
(/.f64 1 (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/3) (*.f64 -1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/3) (neg.f64 (*.f64 -1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/3) (*.f64 -1 (*.f64 -1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/3) (*.f64 (neg.f64 (pow.f64 x 3)) -1/45))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/3) (*.f64 (neg.f64 (*.f64 (*.f64 x x) (cbrt.f64 1/2025))) (*.f64 x (cbrt.f64 -1/45))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/3) (*.f64 (neg.f64 (*.f64 (sqrt.f64 -1/45) (pow.f64 x 3/2))) (*.f64 (sqrt.f64 -1/45) (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/45 (pow.f64 x 3)) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) (fma.f64 (neg.f64 (*.f64 -1/45 (pow.f64 x 3))) 1 (*.f64 -1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) (fma.f64 (neg.f64 (pow.f64 x 3)) -1/45 (*.f64 -1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) (fma.f64 1/45 (pow.f64 x 3) (*.f64 -1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) (fma.f64 (neg.f64 (*.f64 x (cbrt.f64 -1/45))) (*.f64 (*.f64 x x) (cbrt.f64 1/2025)) (*.f64 -1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 -1/45) (pow.f64 x 3/2))) (*.f64 (sqrt.f64 -1/45) (pow.f64 x 3/2)) (*.f64 -1/45 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) (*.f64 (fma.f64 -1/2025 (pow.f64 x 6) (*.f64 (pow.f64 x 6) 1/2025)) (/.f64 1 (fma.f64 -1/45 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-1/45 (pow.f64 x 3))))) (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 -1/91125 (pow.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2) (/.f64 1 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2) 2) (/.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/729) (pow.f64 (*.f64 (pow.f64 x 6) 1/2025) 3)) (*.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) (+.f64 (*.f64 1/81 (pow.f64 x 4)) (*.f64 (*.f64 (pow.f64 x 6) 1/2025) (fma.f64 (*.f64 x x) 1/9 (*.f64 (pow.f64 x 6) 1/2025))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 -1/91125 (pow.f64 x 9))) (-.f64 (fma.f64 (*.f64 x x) 1/9 (*.f64 (pow.f64 x 6) 1/2025)) (*.f64 x (*.f64 1/3 (*.f64 -1/45 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 -1/91125 (pow.f64 x 9))) (+.f64 (*.f64 (pow.f64 x 6) 1/2025) (-.f64 (*.f64 x (*.f64 x 1/9)) (*.f64 x (*.f64 1/3 (*.f64 -1/45 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/81 (pow.f64 x 4)) (*.f64 1/4100625 (pow.f64 x 12))) (*.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) (fma.f64 (*.f64 x x) 1/9 (*.f64 (pow.f64 x 6) 1/2025))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -2) (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))) (cbrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1/2) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) -1) (pow.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) 1/27) (*.f64 -1/91125 (pow.f64 x 9)))) (-.f64 (fma.f64 (*.f64 x x) 1/9 (*.f64 (pow.f64 x 6) 1/2025)) (*.f64 x (*.f64 1/3 (*.f64 -1/45 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))) 1))))))

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

395×	`cancel-sign-sub-inv_binary64`
315×	`div-sub_binary64`
274×	`associate-r_binary64`
270×	`associate-l_binary64`
250×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	391	3105
1	981	2983
2	4536	2942

Stop Event

1×	node limit

Counts

163 → 223

Calls

Call 1

Inputs
(*.f64 1/3 x)
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(/.f64 3 x)
(+.f64 (.f64 1/5 x) (.f64 3 (/.f64 1 x)))
(+.f64 (.f64 1/5 x) (+.f64 (.f64 1/75 (pow.f64 x 3)) (*.f64 3 (/.f64 1 x))))
(+.f64 (.f64 1/5 x) (+.f64 (.f64 1/1125 (pow.f64 x 5)) (+.f64 (.f64 1/75 (pow.f64 x 3)) (.f64 3 (/.f64 1 x)))))
(/.f64 -45 (pow.f64 x 3))
(neg.f64 (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (.f64 45 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (.f64 10125 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (*.f64 45 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 10125 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 151875 (/.f64 1 (pow.f64 x 9))) (.f64 45 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 -45 (pow.f64 x 3))
(neg.f64 (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (.f64 45 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (.f64 10125 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (*.f64 45 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 10125 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 151875 (/.f64 1 (pow.f64 x 9))) (.f64 45 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3)))
(+.f64 (.f64 x 1/3) (neg.f64 (.f64 -1/45 (pow.f64 x 3))))
(+.f64 (.f64 x 1/3) (.f64 -1 (*.f64 -1/45 (pow.f64 x 3))))
(+.f64 (.f64 x 1/3) (.f64 (neg.f64 (pow.f64 x 3)) -1/45))
(+.f64 (.f64 x 1/3) (.f64 (neg.f64 (.f64 (.f64 x x) (cbrt.f64 1/2025))) (*.f64 x (cbrt.f64 -1/45))))
(+.f64 (.f64 x 1/3) (.f64 (neg.f64 (.f64 (sqrt.f64 -1/45) (pow.f64 x 3/2))) (.f64 (sqrt.f64 -1/45) (pow.f64 x 3/2))))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 x 1/3))
(+.f64 0 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))
(+.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) (fma.f64 (neg.f64 (.f64 -1/45 (pow.f64 x 3))) 1 (*.f64 -1/45 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) (fma.f64 (neg.f64 (pow.f64 x 3)) -1/45 (.f64 -1/45 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) (fma.f64 1/45 (pow.f64 x 3) (.f64 -1/45 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) (fma.f64 (neg.f64 (.f64 x (cbrt.f64 -1/45))) (.f64 (.f64 x x) (cbrt.f64 1/2025)) (*.f64 -1/45 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) (fma.f64 (neg.f64 (.f64 (sqrt.f64 -1/45) (pow.f64 x 3/2))) (.f64 (sqrt.f64 -1/45) (pow.f64 x 3/2)) (.f64 -1/45 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) (.f64 (fma.f64 -1/2025 (pow.f64 x 6) (.f64 (pow.f64 x 6) 1/2025)) (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))))
(+.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) (.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) (fma.f64 -1/2025 (pow.f64 x 6) (.f64 (pow.f64 x 6) 1/2025))))
(+.f64 (.f64 (.f64 x (.f64 x 1/9)) (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))) (.f64 (.f64 (pow.f64 x 6) -1/2025) (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))
(+.f64 (.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) (.f64 x (.f64 x 1/9))) (.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) (*.f64 (pow.f64 x 6) -1/2025)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))) (cbrt.f64 (exp.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))))))
(-.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))) 1)
(-.f64 (/.f64 (.f64 x (.f64 x 1/9)) (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) (/.f64 (.f64 (pow.f64 x 6) 1/2025) (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(/.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) 2) (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))
(/.f64 1 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (.f64 x x) 1/9 (.f64 (pow.f64 x 6) 1/2025)) (.f64 x (.f64 1/3 (.f64 -1/45 (pow.f64 x 3))))) (+.f64 (.f64 (pow.f64 x 3) 1/27) (*.f64 -1/91125 (pow.f64 x 9)))))
(/.f64 1 (/.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) 2) (/.f64 1 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) 2) 2) (/.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2)))
(/.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) -1/2))
(/.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) -1)
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/729) (pow.f64 (.f64 (pow.f64 x 6) 1/2025) 3)) (.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) (+.f64 (.f64 1/81 (pow.f64 x 4)) (.f64 (.f64 (pow.f64 x 6) 1/2025) (fma.f64 (.f64 x x) 1/9 (*.f64 (pow.f64 x 6) 1/2025))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/27) (.f64 -1/91125 (pow.f64 x 9))) (-.f64 (fma.f64 (.f64 x x) 1/9 (.f64 (pow.f64 x 6) 1/2025)) (.f64 x (.f64 1/3 (*.f64 -1/45 (pow.f64 x 3))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/27) (.f64 -1/91125 (pow.f64 x 9))) (+.f64 (.f64 (pow.f64 x 6) 1/2025) (-.f64 (.f64 x (.f64 x 1/9)) (.f64 x (.f64 1/3 (.f64 -1/45 (pow.f64 x 3)))))))
(/.f64 (-.f64 (.f64 1/81 (pow.f64 x 4)) (.f64 1/4100625 (pow.f64 x 12))) (.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) (fma.f64 (.f64 x x) 1/9 (.f64 (pow.f64 x 6) 1/2025))))
(/.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 1)
(/.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) (/.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(/.f64 (sqrt.f64 (-.f64 (.f64 1/81 (pow.f64 x 4)) (.f64 1/4100625 (pow.f64 x 12)))) (hypot.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 x 6) 1/729) (pow.f64 (.f64 (pow.f64 x 6) 1/2025) 3))) (hypot.f64 (.f64 x (.f64 x 1/9)) (hypot.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 x (.f64 1/3 (.f64 -1/45 (pow.f64 x 3)))))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/27) (.f64 -1/91125 (pow.f64 x 9)))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) 1/9 (.f64 (pow.f64 x 6) 1/2025)) (.f64 x (.f64 1/3 (*.f64 -1/45 (pow.f64 x 3)))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) 2)) (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 6) 1/729) (pow.f64 (.f64 (pow.f64 x 6) 1/2025) 3)) 1) (.f64 (+.f64 (.f64 1/81 (pow.f64 x 4)) (.f64 (.f64 (pow.f64 x 6) 1/2025) (fma.f64 (.f64 x x) 1/9 (.f64 (pow.f64 x 6) 1/2025)))) (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))))
(/.f64 (.f64 (-.f64 (.f64 1/81 (pow.f64 x 4)) (.f64 1/4100625 (pow.f64 x 12))) 1) (.f64 (fma.f64 (.f64 x x) 1/9 (.f64 (pow.f64 x 6) 1/2025)) (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 6) 1/729) (pow.f64 (.f64 (pow.f64 x 6) 1/2025) 3)) -1) (.f64 (+.f64 (.f64 1/81 (pow.f64 x 4)) (.f64 (.f64 (pow.f64 x 6) 1/2025) (fma.f64 (.f64 x x) 1/9 (.f64 (pow.f64 x 6) 1/2025)))) (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))))
(/.f64 (.f64 (-.f64 (.f64 1/81 (pow.f64 x 4)) (.f64 1/4100625 (pow.f64 x 12))) -1) (.f64 (fma.f64 (.f64 x x) 1/9 (.f64 (pow.f64 x 6) 1/2025)) (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))
(/.f64 (.f64 -1 (-.f64 (.f64 (pow.f64 x 6) 1/729) (pow.f64 (.f64 (pow.f64 x 6) 1/2025) 3))) (.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) (+.f64 (.f64 1/81 (pow.f64 x 4)) (.f64 (.f64 (pow.f64 x 6) 1/2025) (fma.f64 (.f64 x x) 1/9 (.f64 (pow.f64 x 6) 1/2025))))))
(/.f64 (.f64 -1 (-.f64 (.f64 1/81 (pow.f64 x 4)) (.f64 1/4100625 (pow.f64 x 12)))) (.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) (fma.f64 (.f64 x x) 1/9 (*.f64 (pow.f64 x 6) 1/2025))))
(/.f64 (/.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) 2) (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))) (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(/.f64 (/.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) 2) 1) (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))
(/.f64 (/.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) 2) (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) 2)) (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/27) (.f64 -1/91125 (pow.f64 x 9))) (+.f64 (.f64 x (.f64 x 1/9)) (+.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 x (.f64 1/3 (.f64 -1/45 (pow.f64 x 3)))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 x (.f64 x 1/9))) (fma.f64 -1/45 (pow.f64 x 3) (neg.f64 (.f64 x 1/3))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 6) 1/729) (pow.f64 (.f64 (pow.f64 x 6) 1/2025) 3)) (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))) (+.f64 (.f64 1/81 (pow.f64 x 4)) (.f64 (.f64 (pow.f64 x 6) 1/2025) (fma.f64 (.f64 x x) 1/9 (*.f64 (pow.f64 x 6) 1/2025)))))
(/.f64 (.f64 (-.f64 (.f64 1/81 (pow.f64 x 4)) (.f64 1/4100625 (pow.f64 x 12))) (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))) (fma.f64 (.f64 x x) 1/9 (.f64 (pow.f64 x 6) 1/2025)))
(/.f64 (.f64 -1 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) 2)) (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(/.f64 (.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) 2) -1) (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(/.f64 (.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) (-.f64 (.f64 (pow.f64 x 6) 1/729) (pow.f64 (.f64 (pow.f64 x 6) 1/2025) 3))) (+.f64 (.f64 1/81 (pow.f64 x 4)) (.f64 (.f64 (pow.f64 x 6) 1/2025) (fma.f64 (.f64 x x) 1/9 (*.f64 (pow.f64 x 6) 1/2025)))))
(/.f64 (.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) (-.f64 (.f64 1/81 (pow.f64 x 4)) (.f64 1/4100625 (pow.f64 x 12)))) (fma.f64 (.f64 x x) 1/9 (.f64 (pow.f64 x 6) 1/2025)))
(pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 3)
(pow.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2)
(pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 1)
(sqrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 2))
(fabs.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))
(log.f64 (exp.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/3) x) (pow.f64 (exp.f64 -1/45) (pow.f64 x 3))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))) (pow.f64 (exp.f64 -1/45) (pow.f64 x 3))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/3) x) (+.f64 1 (expm1.f64 (*.f64 -1/45 (pow.f64 x 3))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 x 1/3))) (+.f64 1 (expm1.f64 (.f64 -1/45 (pow.f64 x 3))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/3))) (pow.f64 (exp.f64 -1/45) (pow.f64 x 3))))
(log.f64 (.f64 (pow.f64 (exp.f64 1/3) x) (+.f64 1 (expm1.f64 (.f64 -1/45 (pow.f64 x 3))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/3))) (+.f64 1 (expm1.f64 (*.f64 -1/45 (pow.f64 x 3))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/45 (pow.f64 x 3)))) (pow.f64 (exp.f64 1/3) x)))
(log.f64 (.f64 (pow.f64 (exp.f64 -1/45) (pow.f64 x 3)) (+.f64 1 (expm1.f64 (.f64 x 1/3)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/45 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 x 1/3)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) 2) 3) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) 3)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) 2) 3) (pow.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) 3) (pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 2) 3)))
(hypot.f64 (.f64 x 1/3) (sqrt.f64 (.f64 (pow.f64 x 6) -1/2025)))
(hypot.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) (sqrt.f64 (fma.f64 -1/2025 (pow.f64 x 6) (.f64 (pow.f64 x 6) 1/2025))))
(hypot.f64 (sqrt.f64 (.f64 (pow.f64 x 6) -1/2025)) (.f64 x 1/3))
(hypot.f64 (sqrt.f64 (fma.f64 -1/2025 (pow.f64 x 6) (.f64 (pow.f64 x 6) 1/2025))) (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))
(expm1.f64 (log1p.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(log1p.f64 (expm1.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(exp.f64 (log.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) 1))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (neg.f64 (*.f64 -1/45 (pow.f64 x 3))))
(fma.f64 1 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1 (.f64 x 1/3) (neg.f64 (.f64 -1/45 (pow.f64 x 3))))
(fma.f64 1 (.f64 -1/45 (pow.f64 x 3)) (.f64 x 1/3))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (neg.f64 (*.f64 -1/45 (pow.f64 x 3))))
(fma.f64 (.f64 x 1/3) 1 (neg.f64 (.f64 -1/45 (pow.f64 x 3))))
(fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))
(fma.f64 (pow.f64 x 3) -1/45 (*.f64 x 1/3))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 1/2025)) (.f64 x (cbrt.f64 -1/45)) (.f64 x 1/3))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (cbrt.f64 (.f64 x 1/3)) (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (cbrt.f64 (.f64 x 1/3)) (neg.f64 (*.f64 -1/45 (pow.f64 x 3))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/3) (neg.f64 (.f64 -1/45 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (.f64 x 1/3)) (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (neg.f64 (*.f64 -1/45 (pow.f64 x 3))))
(fma.f64 (.f64 (sqrt.f64 -1/45) (pow.f64 x 3/2)) (.f64 (sqrt.f64 -1/45) (pow.f64 x 3/2)) (*.f64 x 1/3))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 1/9)) (neg.f64 (.f64 -1/45 (pow.f64 x 3))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/3) (neg.f64 (.f64 -1/45 (pow.f64 x 3))))
(fma.f64 (sqrt.f64 (.f64 x 1/3)) (sqrt.f64 (.f64 x 1/3)) (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (.f64 x 1/3)) (sqrt.f64 (.f64 x 1/3)) (neg.f64 (*.f64 -1/45 (pow.f64 x 3))))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 1/81 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2)) (neg.f64 (*.f64 -1/45 (pow.f64 x 3))))
(fma.f64 (.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (.f64 -1/45 (pow.f64 x 3))))
(fma.f64 (.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (.f64 -1/45 (pow.f64 x 3))))
(+.f64 0 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))) 1)
(.f64 1 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))))
(.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) 1)
(.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) -2) (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))) (cbrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))
(.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) -1/2) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1/2))
(.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) -1))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) -1) (pow.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) -1))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) 1/27) (.f64 -1/91125 (pow.f64 x 9)))) (-.f64 (fma.f64 (.f64 x x) 1/9 (.f64 (pow.f64 x 6) 1/2025)) (.f64 x (.f64 1/3 (.f64 -1/45 (pow.f64 x 3))))))
(pow.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 1)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1/2) 2)
(pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) -1))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))) 1))

Outputs
(*.f64 1/3 x)
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(*.f64 1/45 (pow.f64 x 3))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(/.f64 3 x)
(+.f64 (.f64 1/5 x) (.f64 3 (/.f64 1 x)))
(fma.f64 1/5 x (/.f64 3 x))
(fma.f64 x 1/5 (/.f64 3 x))
(+.f64 (.f64 1/5 x) (+.f64 (.f64 1/75 (pow.f64 x 3)) (*.f64 3 (/.f64 1 x))))
(fma.f64 1/5 x (fma.f64 1/75 (pow.f64 x 3) (/.f64 3 x)))
(fma.f64 x 1/5 (fma.f64 (pow.f64 x 3) 1/75 (/.f64 3 x)))
(+.f64 (.f64 1/5 x) (+.f64 (.f64 1/1125 (pow.f64 x 5)) (+.f64 (.f64 1/75 (pow.f64 x 3)) (.f64 3 (/.f64 1 x)))))
(fma.f64 1/5 x (fma.f64 1/1125 (pow.f64 x 5) (fma.f64 1/75 (pow.f64 x 3) (/.f64 3 x))))
(fma.f64 x 1/5 (fma.f64 1/1125 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) 1/75 (/.f64 3 x))))
(/.f64 -45 (pow.f64 x 3))
(neg.f64 (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (.f64 45 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 675 (pow.f64 x 5)) (/.f64 45 (pow.f64 x 3))))
(+.f64 (/.f64 -675 (pow.f64 x 5)) (/.f64 -45 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 10125 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (*.f64 45 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (+.f64 (/.f64 675 (pow.f64 x 5)) (/.f64 45 (pow.f64 x 3))) (/.f64 10125 (pow.f64 x 7))))
(+.f64 (+.f64 (/.f64 -675 (pow.f64 x 5)) (/.f64 -45 (pow.f64 x 3))) (/.f64 -10125 (pow.f64 x 7)))
(neg.f64 (+.f64 (.f64 10125 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 151875 (/.f64 1 (pow.f64 x 9))) (.f64 45 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 10125 (pow.f64 x 7)) (+.f64 (/.f64 675 (pow.f64 x 5)) (+.f64 (/.f64 45 (pow.f64 x 3)) (/.f64 151875 (pow.f64 x 9))))))
(-.f64 (/.f64 -10125 (pow.f64 x 7)) (+.f64 (/.f64 675 (pow.f64 x 5)) (+.f64 (/.f64 45 (pow.f64 x 3)) (/.f64 151875 (pow.f64 x 9)))))
(-.f64 (/.f64 -10125 (pow.f64 x 7)) (+.f64 (/.f64 45 (pow.f64 x 3)) (+.f64 (/.f64 675 (pow.f64 x 5)) (/.f64 151875 (pow.f64 x 9)))))
(/.f64 -45 (pow.f64 x 3))
(neg.f64 (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (.f64 45 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 675 (pow.f64 x 5)) (/.f64 45 (pow.f64 x 3))))
(+.f64 (/.f64 -675 (pow.f64 x 5)) (/.f64 -45 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 10125 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (*.f64 45 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (+.f64 (/.f64 675 (pow.f64 x 5)) (/.f64 45 (pow.f64 x 3))) (/.f64 10125 (pow.f64 x 7))))
(+.f64 (+.f64 (/.f64 -675 (pow.f64 x 5)) (/.f64 -45 (pow.f64 x 3))) (/.f64 -10125 (pow.f64 x 7)))
(neg.f64 (+.f64 (.f64 10125 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 151875 (/.f64 1 (pow.f64 x 9))) (.f64 45 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 10125 (pow.f64 x 7)) (+.f64 (/.f64 675 (pow.f64 x 5)) (+.f64 (/.f64 45 (pow.f64 x 3)) (/.f64 151875 (pow.f64 x 9))))))
(-.f64 (/.f64 -10125 (pow.f64 x 7)) (+.f64 (/.f64 675 (pow.f64 x 5)) (+.f64 (/.f64 45 (pow.f64 x 3)) (/.f64 151875 (pow.f64 x 9)))))
(-.f64 (/.f64 -10125 (pow.f64 x 7)) (+.f64 (/.f64 45 (pow.f64 x 3)) (+.f64 (/.f64 675 (pow.f64 x 5)) (/.f64 151875 (pow.f64 x 9)))))
(+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))
(+.f64 (.f64 x 1/3) (neg.f64 (.f64 -1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(+.f64 (.f64 x 1/3) (.f64 -1 (*.f64 -1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(+.f64 (.f64 x 1/3) (.f64 (neg.f64 (pow.f64 x 3)) -1/45))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(+.f64 (.f64 x 1/3) (.f64 (neg.f64 (.f64 (.f64 x x) (cbrt.f64 1/2025))) (*.f64 x (cbrt.f64 -1/45))))
(fma.f64 x 1/3 (.f64 (.f64 (neg.f64 (.f64 x x)) (cbrt.f64 1/2025)) (.f64 x (cbrt.f64 -1/45))))
(-.f64 (.f64 1/3 x) (.f64 (cbrt.f64 1/2025) (.f64 (.f64 x x) (*.f64 x (cbrt.f64 -1/45)))))
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(fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))
(log1p.f64 (expm1.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))
(exp.f64 (log.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) 1))
(fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))
(fma.f64 x 1/3 (neg.f64 (*.f64 -1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))
(fma.f64 1 (.f64 x 1/3) (neg.f64 (.f64 -1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 1 (.f64 -1/45 (pow.f64 x 3)) (.f64 x 1/3))
(fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))
(fma.f64 1/3 x (neg.f64 (*.f64 -1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 (.f64 x 1/3) 1 (neg.f64 (.f64 -1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))
(fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))
(fma.f64 (pow.f64 x 3) -1/45 (*.f64 x 1/3))
(fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 1/2025)) (.f64 x (cbrt.f64 -1/45)) (.f64 x 1/3))
(fma.f64 (.f64 x (.f64 x (cbrt.f64 1/2025))) (.f64 x (cbrt.f64 -1/45)) (.f64 1/3 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (cbrt.f64 (.f64 x 1/3)) (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (cbrt.f64 (.f64 x 1/3)) (neg.f64 (*.f64 -1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/3) (neg.f64 (.f64 -1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 (cbrt.f64 (.f64 x 1/3)) (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (neg.f64 (*.f64 -1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 (.f64 (sqrt.f64 -1/45) (pow.f64 x 3/2)) (.f64 (sqrt.f64 -1/45) (pow.f64 x 3/2)) (*.f64 x 1/3))
(fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 1/9)) (neg.f64 (.f64 -1/45 (pow.f64 x 3))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 1/9)) (.f64 1/45 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/3) (neg.f64 (.f64 -1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 (sqrt.f64 (.f64 x 1/3)) (sqrt.f64 (.f64 x 1/3)) (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45))
(fma.f64 (sqrt.f64 (.f64 x 1/3)) (sqrt.f64 (.f64 x 1/3)) (neg.f64 (*.f64 -1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 1/81 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2)) (neg.f64 (*.f64 -1/45 (pow.f64 x 3))))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 1/81 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/3 x)) 2)) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 1/81 (pow.f64 x 4)))) (fabs.f64 (cbrt.f64 (.f64 1/3 x))) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 1/3 x)) (sqrt.f64 (cbrt.f64 (.f64 1/81 (pow.f64 x 4)))) (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 (.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (.f64 -1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(fma.f64 (.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (.f64 -1/45 (pow.f64 x 3))))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(fma.f64 1/45 (pow.f64 x 3) (*.f64 1/3 x))
(+.f64 0 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 -1 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/3 x (.f64 (pow.f64 x 3) -1/45))))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/3 x (.f64 (pow.f64 x 3) -1/45))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/3 x (.f64 (pow.f64 x 3) -1/45)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/3 x (.f64 (pow.f64 x 3) -1/45))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/3 x (.f64 (pow.f64 x 3) -1/45)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))) 1)
(/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 -1 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))
(.f64 1 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))))
(/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 -1 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))
(.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) 1)
(/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 -1 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))
(.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) -2) (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))
(/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 -1 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))) (cbrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -2)))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/3 x (.f64 (pow.f64 x 3) -1/45)))) (cbrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/3 x (.f64 (pow.f64 x 3) -1/45)) -2)) (cbrt.f64 (fma.f64 1/3 x (.f64 (pow.f64 x 3) -1/45))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/3 x (.f64 (pow.f64 x 3) -1/45)))) (cbrt.f64 (pow.f64 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/3 x (.f64 (pow.f64 x 3) -1/45)) -2)) (cbrt.f64 (fma.f64 1/3 x (.f64 (pow.f64 x 3) -1/45))))
(.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) -1/2) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1/2))
(/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 -1 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))
(.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))))
(/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 -1 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) -1))
(/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 -1 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) -1) (pow.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) -1))
(/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 -1 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) 1/27) (.f64 -1/91125 (pow.f64 x 9)))) (-.f64 (fma.f64 (.f64 x x) 1/9 (.f64 (pow.f64 x 6) 1/2025)) (.f64 x (.f64 1/3 (.f64 -1/45 (pow.f64 x 3))))))
(.f64 (-.f64 (fma.f64 (.f64 x x) 1/9 (.f64 1/2025 (pow.f64 x 6))) (.f64 x (.f64 -1/135 (pow.f64 x 3)))) (/.f64 1 (fma.f64 (pow.f64 x 3) 1/27 (.f64 (pow.f64 x 9) -1/91125))))
(/.f64 (fma.f64 x (+.f64 (.f64 x 1/9) (.f64 1/135 (pow.f64 x 3))) (.f64 1/2025 (pow.f64 x 6))) (fma.f64 (pow.f64 x 3) 1/27 (.f64 (pow.f64 x 9) -1/91125)))
(/.f64 (-.f64 (fma.f64 1/2025 (pow.f64 x 6) (.f64 (.f64 x x) 1/9)) (.f64 -1/135 (pow.f64 x 4))) (fma.f64 (pow.f64 x 3) 1/27 (.f64 (pow.f64 x 9) -1/91125)))
(pow.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 1)
(/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 -1 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 3) 1/3)
(/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 -1 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))) 3)
(/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 -1 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))
(pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1/2) 2)
(/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 -1 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))
(pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1)
(/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 -1 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))
(sqrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -2))
(/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 -1 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))
(/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 -1 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))))
(/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 -1 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 3))
(/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 -1 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))
(/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 -1 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))
(/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 -1 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))
(/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 -1 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) -1))
(/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 -1 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))) 1))
(/.f64 1 (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/45)))
(/.f64 -1 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))

eval321.0ms (2.4%)

Compiler: Compiled 12708 to 9943 computations (21.8% saved)

prune164.0ms (1.2%)

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	623	18	641
Fresh	0	1	1
Picked	1	0	1
Done	0	7	7
Total	624	26	650

Error

Counts

650 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	32.5b	(fma.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 1/9)) (.f64 1/45 (pow.f64 x 3)))
▶	0.2b	(fma.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12))) (.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) x)) (cbrt.f64 1/2025)) (.f64 (/.f64 x (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3))) (.f64 x -1/9)))
✓	0.3b	(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
	32.8b	(pow.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 1/4) 2) 2)
	2.8b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3) 3)
	1.7b	(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) 3)
✓	32.6b	(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
✓	1.6b	(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
✓	30.7b	(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 x x) 1/9)) (-.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))
	30.7b	(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 x (.f64 x 1/9))) (-.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))
	30.8b	(/.f64 1 (/.f64 (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3))) (-.f64 (.f64 (.f64 x x) 1/9) (*.f64 (pow.f64 x 6) 1/2025))))
▶	0.9b	(/.f64 1 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
	0.2b	(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9))))
	0.3b	(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) x)) 1/9))
✓	0.3b	(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
	2.5b	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/3 x))) 2) 3) (cbrt.f64 (*.f64 1/3 x)))
▶	32.6b	(.f64 (pow.f64 (.f64 1/3 x) 1/4) (.f64 (pow.f64 (.f64 1/3 x) 1/4) (sqrt.f64 (*.f64 1/3 x))))
	1.5b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/3))
	31.0b	(.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025)) (/.f64 3 x))
	31.0b	(.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025)) (+.f64 (.f64 1/5 x) (.f64 3 (/.f64 1 x))))
▶	1.5b	(.f64 (.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
	32.6b	(.f64 (.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
	32.6b	(.f64 (sqrt.f64 1/3) (.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 x)))
✓	0.4b	(*.f64 1/3 x)
▶	45.8b	(sqrt.f64 (.f64 (.f64 x x) 1/9))
✓	42.0b	(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))

Compiler

Compiled 692 to 543 computations (21.5% saved)

localize54.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 x -1/3)
✓	0.3b	(.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) x)) (cbrt.f64 1/2025))
✓	0.4b	(*.f64 x -1/9)
✓	8.4b	(cbrt.f64 (*.f64 1/4100625 (pow.f64 x 12)))

Compiler

Compiled 139 to 103 computations (25.9% saved)

series11.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(cbrt.f64 (*.f64 1/4100625 (pow.f64 x 12)))
2.0ms	x	@	inf	(*.f64 x -1/3)
2.0ms	x	@	0	(cbrt.f64 (*.f64 1/4100625 (pow.f64 x 12)))
1.0ms	x	@	0	(.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) x)) (cbrt.f64 1/2025))
1.0ms	x	@	inf	(.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) x)) (cbrt.f64 1/2025))

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

891×	`log-prod_binary64`
330×	`expm1-udef_binary64`
330×	`log1p-udef_binary64`
271×	`log-pow_binary64`
193×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	39
1	426	39
2	4839	39

Stop Event

1×	node limit

Counts

4 → 87

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 1/4100625 (pow.f64 x 12)))
(*.f64 x -1/9)
(.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) x)) (cbrt.f64 1/2025))
(*.f64 x -1/3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12))))) (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x 12)) (cbrt.f64 1/4100625))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 1/4100625) (cbrt.f64 (pow.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12)))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 24) 1/16815125390625))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 24) 1/16815125390625))) (cbrt.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 1/2025 (pow.f64 x 6))) (cbrt.f64 (.f64 1/2025 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 24) 1/16815125390625)) 1/3) (cbrt.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 1/2025 (pow.f64 x 6)) 1/3) (pow.f64 (.f64 1/2025 (pow.f64 x 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/4100625 (pow.f64 x 12)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/2025 (pow.f64 x 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 24) 1/16815125390625)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 12 (log.f64 x) (log.f64 1/4100625)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 x -1/9))) (cbrt.f64 (exp.f64 (.f64 x -1/9))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 x -1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 x -1/9)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 x -1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x -1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x -1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x -1/9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x -1/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x -1/9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) 1/81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x -1/9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x -1/9)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 1/2025))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 1/2025))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 1/2025)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 1/2025)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 1/2025)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))) x) (cbrt.f64 1/2025)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 1/2025) (/.f64 (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))) x) (.f64 x (cbrt.f64 1/2025))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (cbrt.f64 1/2025)) (/.f64 (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 x (cbrt.f64 1/2025))) (/.f64 (neg.f64 (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x (cbrt.f64 1/2025)) (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x (cbrt.f64 1/2025)) 1) (/.f64 (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x (cbrt.f64 1/2025)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))) x)) 2)) (cbrt.f64 (/.f64 (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x (cbrt.f64 1/2025)) (sqrt.f64 (/.f64 (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))) x))) (sqrt.f64 (/.f64 (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 x) (cbrt.f64 1/2025)) (/.f64 (neg.f64 (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 1/2025) (neg.f64 x)) (/.f64 (neg.f64 (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))))) 2) (cbrt.f64 1/4100625)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 1/2025)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))))) 3) 1/2025))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/2025 (pow.f64 (.f64 x (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) x)) (cbrt.f64 (pow.f64 (exp.f64 -1/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x -1/3)) 1))))))

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

731×	`fma-def_binary64`
399×	`associate-*l/_binary64`
386×	`unswap-sqr_binary64`
314×	`*-commutative_binary64`
309×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	270	1779
1	584	1728
2	1914	1627

Stop Event

1×	node limit

Counts

135 → 144

Calls

Call 1

Inputs
(*.f64 (cbrt.f64 1/4100625) (pow.f64 x 4))
(*.f64 (cbrt.f64 1/4100625) (pow.f64 x 4))
(*.f64 (cbrt.f64 1/4100625) (pow.f64 x 4))
(*.f64 (cbrt.f64 1/4100625) (pow.f64 x 4))
(*.f64 (cbrt.f64 1/4100625) (pow.f64 x 4))
(*.f64 (cbrt.f64 1/4100625) (pow.f64 x 4))
(*.f64 (cbrt.f64 1/4100625) (pow.f64 x 4))
(*.f64 (cbrt.f64 1/4100625) (pow.f64 x 4))
(*.f64 (cbrt.f64 1/4100625) (pow.f64 x 4))
(*.f64 (cbrt.f64 1/4100625) (pow.f64 x 4))
(*.f64 (cbrt.f64 1/4100625) (pow.f64 x 4))
(*.f64 (cbrt.f64 1/4100625) (pow.f64 x 4))
(*.f64 -1/9 x)
(*.f64 -1/9 x)
(*.f64 -1/9 x)
(*.f64 -1/9 x)
(*.f64 -1/9 x)
(*.f64 -1/9 x)
(*.f64 -1/9 x)
(*.f64 -1/9 x)
(*.f64 -1/9 x)
(*.f64 -1/9 x)
(*.f64 -1/9 x)
(*.f64 -1/9 x)
(.f64 -3 (.f64 (cbrt.f64 1/2025) x))
(+.f64 (.f64 -1/5 (.f64 (cbrt.f64 1/2025) (pow.f64 x 3))) (.f64 -3 (.f64 (cbrt.f64 1/2025) x)))
(+.f64 (.f64 -1/5 (.f64 (cbrt.f64 1/2025) (pow.f64 x 3))) (+.f64 (.f64 -1/75 (.f64 (cbrt.f64 1/2025) (pow.f64 x 5))) (.f64 -3 (.f64 (cbrt.f64 1/2025) x))))
(+.f64 (.f64 -1/5 (.f64 (cbrt.f64 1/2025) (pow.f64 x 3))) (+.f64 (.f64 -1/1125 (.f64 (cbrt.f64 1/2025) (pow.f64 x 7))) (+.f64 (.f64 -1/75 (.f64 (cbrt.f64 1/2025) (pow.f64 x 5))) (.f64 -3 (.f64 (cbrt.f64 1/2025) x)))))
(*.f64 45 (/.f64 (cbrt.f64 1/2025) x))
(+.f64 (.f64 45 (/.f64 (cbrt.f64 1/2025) x)) (.f64 675 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 3))))
(+.f64 (.f64 45 (/.f64 (cbrt.f64 1/2025) x)) (+.f64 (.f64 10125 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 5))) (*.f64 675 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 3)))))
(+.f64 (.f64 45 (/.f64 (cbrt.f64 1/2025) x)) (+.f64 (.f64 10125 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 5))) (+.f64 (.f64 675 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 3))) (.f64 151875 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 7))))))
(*.f64 45 (/.f64 (cbrt.f64 1/2025) x))
(+.f64 (.f64 45 (/.f64 (cbrt.f64 1/2025) x)) (.f64 675 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 3))))
(+.f64 (.f64 45 (/.f64 (cbrt.f64 1/2025) x)) (+.f64 (.f64 10125 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 5))) (*.f64 675 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 3)))))
(+.f64 (.f64 45 (/.f64 (cbrt.f64 1/2025) x)) (+.f64 (.f64 10125 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 5))) (+.f64 (.f64 675 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 3))) (.f64 151875 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 7))))))
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(+.f64 0 (cbrt.f64 (*.f64 1/4100625 (pow.f64 x 12))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12))))) (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 1/4100625 (pow.f64 x 12))))) 1)
(.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12))) 1)
(.f64 1 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12))))
(*.f64 (cbrt.f64 (pow.f64 x 12)) (cbrt.f64 1/4100625))
(*.f64 (cbrt.f64 1/4100625) (cbrt.f64 (pow.f64 x 12)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12)))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 24) 1/16815125390625))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 24) 1/16815125390625))) (cbrt.f64 (cbrt.f64 (*.f64 1/4100625 (pow.f64 x 12)))))
(.f64 (cbrt.f64 (.f64 1/2025 (pow.f64 x 6))) (cbrt.f64 (*.f64 1/2025 (pow.f64 x 6))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 24) 1/16815125390625)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/4100625 (pow.f64 x 12)))))
(.f64 (pow.f64 (.f64 1/2025 (pow.f64 x 6)) 1/3) (pow.f64 (*.f64 1/2025 (pow.f64 x 6)) 1/3))
(pow.f64 (*.f64 1/4100625 (pow.f64 x 12)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/4100625 (pow.f64 x 12))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/4100625 (pow.f64 x 12)))) 3)
(pow.f64 (cbrt.f64 (*.f64 1/2025 (pow.f64 x 6))) 2)
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 24) 1/16815125390625)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 1/4100625 (pow.f64 x 12)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 1/4100625 (pow.f64 x 12))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/4100625 (pow.f64 x 12)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/4100625 (pow.f64 x 12)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/4100625 (pow.f64 x 12)))))
(exp.f64 (*.f64 (fma.f64 12 (log.f64 x) (log.f64 1/4100625)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12)))) 1))
(+.f64 0 (*.f64 x -1/9))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 x -1/9))) (cbrt.f64 (exp.f64 (.f64 x -1/9))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 x -1/9)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 x -1/9)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 x -1/9)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/9))) 1)
(pow.f64 (*.f64 x -1/9) 1)
(pow.f64 (pow.f64 (*.f64 x -1/9) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x -1/9)) 3)
(pow.f64 (sqrt.f64 (*.f64 x -1/9)) 2)
(sqrt.f64 (.f64 (.f64 x x) 1/81))
(log.f64 (exp.f64 (*.f64 x -1/9)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/9))))
(cbrt.f64 (pow.f64 (*.f64 x -1/9) 3))
(expm1.f64 (log1p.f64 (*.f64 x -1/9)))
(log1p.f64 (expm1.f64 (*.f64 x -1/9)))
(exp.f64 (log.f64 (*.f64 x -1/9)))
(exp.f64 (.f64 (log.f64 (.f64 x -1/9)) 1))
(+.f64 0 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 1/2025))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 1/2025))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 1/2025)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 1/2025)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 1/2025)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025))))) 1)
(/.f64 x (/.f64 (/.f64 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))) x) (cbrt.f64 1/2025)))
(/.f64 (cbrt.f64 1/2025) (/.f64 (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))) (.f64 x x)))
(/.f64 1 (/.f64 (/.f64 (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))) x) (.f64 x (cbrt.f64 1/2025))))
(/.f64 (.f64 x (cbrt.f64 1/2025)) (/.f64 (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))) x))
(/.f64 (neg.f64 (.f64 x (cbrt.f64 1/2025))) (/.f64 (neg.f64 (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3)))) x))
(/.f64 (/.f64 (.f64 x (cbrt.f64 1/2025)) (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3)))) (/.f64 1 x))
(/.f64 (/.f64 (.f64 x (cbrt.f64 1/2025)) 1) (/.f64 (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))) x))
(/.f64 (/.f64 (.f64 x (cbrt.f64 1/2025)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))) x)) 2)) (cbrt.f64 (/.f64 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))) x)))
(/.f64 (/.f64 (.f64 x (cbrt.f64 1/2025)) (sqrt.f64 (/.f64 (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3))) x))) (sqrt.f64 (/.f64 (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))) x)))
(/.f64 (.f64 (neg.f64 x) (cbrt.f64 1/2025)) (/.f64 (neg.f64 (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3)))) x))
(/.f64 (.f64 (cbrt.f64 1/2025) (neg.f64 x)) (/.f64 (neg.f64 (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3)))) x))
(pow.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025))) 1)
(pow.f64 (pow.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025)))) 3)
(pow.f64 (sqrt.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025)))) 2)
(sqrt.f64 (.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))) 2) (cbrt.f64 1/4100625)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 1/2025)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))) 3) 1/2025))
(cbrt.f64 (.f64 1/2025 (pow.f64 (.f64 x (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))) 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025)))))
(exp.f64 (log.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025)))))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025)))) 1))
(+.f64 0 (*.f64 x -1/3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) x)) (cbrt.f64 (pow.f64 (exp.f64 -1/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/3))) 1)
(pow.f64 (*.f64 x -1/3) 1)
(pow.f64 (pow.f64 (*.f64 x -1/3) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x -1/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2)
(sqrt.f64 (.f64 (.f64 x x) 1/9))
(log.f64 (pow.f64 (exp.f64 -1/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/3))))
(cbrt.f64 (pow.f64 (*.f64 x -1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x -1/3)))
(log1p.f64 (expm1.f64 (*.f64 x -1/3)))
(exp.f64 (log.f64 (*.f64 x -1/3)))
(exp.f64 (.f64 (log.f64 (.f64 x -1/3)) 1))

Outputs
(*.f64 (cbrt.f64 1/4100625) (pow.f64 x 4))
(*.f64 (cbrt.f64 1/4100625) (pow.f64 x 4))
(*.f64 (cbrt.f64 1/4100625) (pow.f64 x 4))
(*.f64 (cbrt.f64 1/4100625) (pow.f64 x 4))
(*.f64 (cbrt.f64 1/4100625) (pow.f64 x 4))
(*.f64 (cbrt.f64 1/4100625) (pow.f64 x 4))
(*.f64 (cbrt.f64 1/4100625) (pow.f64 x 4))
(*.f64 (cbrt.f64 1/4100625) (pow.f64 x 4))
(*.f64 (cbrt.f64 1/4100625) (pow.f64 x 4))
(*.f64 (cbrt.f64 1/4100625) (pow.f64 x 4))
(*.f64 (cbrt.f64 1/4100625) (pow.f64 x 4))
(*.f64 (cbrt.f64 1/4100625) (pow.f64 x 4))
(*.f64 -1/9 x)
(*.f64 x -1/9)
(*.f64 -1/9 x)
(*.f64 x -1/9)
(*.f64 -1/9 x)
(*.f64 x -1/9)
(*.f64 -1/9 x)
(*.f64 x -1/9)
(*.f64 -1/9 x)
(*.f64 x -1/9)
(*.f64 -1/9 x)
(*.f64 x -1/9)
(*.f64 -1/9 x)
(*.f64 x -1/9)
(*.f64 -1/9 x)
(*.f64 x -1/9)
(*.f64 -1/9 x)
(*.f64 x -1/9)
(*.f64 -1/9 x)
(*.f64 x -1/9)
(*.f64 -1/9 x)
(*.f64 x -1/9)
(*.f64 -1/9 x)
(*.f64 x -1/9)
(.f64 -3 (.f64 (cbrt.f64 1/2025) x))
(.f64 -3 (.f64 x (cbrt.f64 1/2025)))
(.f64 (cbrt.f64 1/2025) (.f64 x -3))
(.f64 x (.f64 -3 (cbrt.f64 1/2025)))
(+.f64 (.f64 -1/5 (.f64 (cbrt.f64 1/2025) (pow.f64 x 3))) (.f64 -3 (.f64 (cbrt.f64 1/2025) x)))
(fma.f64 -1/5 (.f64 (cbrt.f64 1/2025) (pow.f64 x 3)) (.f64 -3 (*.f64 x (cbrt.f64 1/2025))))
(fma.f64 -3 (.f64 x (cbrt.f64 1/2025)) (.f64 (pow.f64 x 3) (*.f64 (cbrt.f64 1/2025) -1/5)))
(.f64 (cbrt.f64 1/2025) (+.f64 (.f64 x -3) (*.f64 -1/5 (pow.f64 x 3))))
(+.f64 (.f64 -1/5 (.f64 (cbrt.f64 1/2025) (pow.f64 x 3))) (+.f64 (.f64 -1/75 (.f64 (cbrt.f64 1/2025) (pow.f64 x 5))) (.f64 -3 (.f64 (cbrt.f64 1/2025) x))))
(fma.f64 -1/5 (.f64 (cbrt.f64 1/2025) (pow.f64 x 3)) (fma.f64 -1/75 (.f64 (cbrt.f64 1/2025) (pow.f64 x 5)) (.f64 -3 (.f64 x (cbrt.f64 1/2025)))))
(fma.f64 -1/5 (.f64 (cbrt.f64 1/2025) (pow.f64 x 3)) (fma.f64 -3 (.f64 x (cbrt.f64 1/2025)) (.f64 (.f64 -1/75 (pow.f64 x 5)) (cbrt.f64 1/2025))))
(fma.f64 (cbrt.f64 1/2025) (.f64 -1/5 (pow.f64 x 3)) (.f64 (cbrt.f64 1/2025) (+.f64 (.f64 x -3) (.f64 -1/75 (pow.f64 x 5)))))
(+.f64 (.f64 -1/5 (.f64 (cbrt.f64 1/2025) (pow.f64 x 3))) (+.f64 (.f64 -1/1125 (.f64 (cbrt.f64 1/2025) (pow.f64 x 7))) (+.f64 (.f64 -1/75 (.f64 (cbrt.f64 1/2025) (pow.f64 x 5))) (.f64 -3 (.f64 (cbrt.f64 1/2025) x)))))
(fma.f64 -1/5 (.f64 (cbrt.f64 1/2025) (pow.f64 x 3)) (fma.f64 -1/1125 (.f64 (cbrt.f64 1/2025) (pow.f64 x 7)) (fma.f64 -1/75 (.f64 (cbrt.f64 1/2025) (pow.f64 x 5)) (.f64 -3 (*.f64 x (cbrt.f64 1/2025))))))
(fma.f64 -1/5 (.f64 (cbrt.f64 1/2025) (pow.f64 x 3)) (fma.f64 -1/1125 (.f64 (cbrt.f64 1/2025) (pow.f64 x 7)) (fma.f64 -3 (.f64 x (cbrt.f64 1/2025)) (.f64 (*.f64 -1/75 (pow.f64 x 5)) (cbrt.f64 1/2025)))))
(+.f64 (.f64 (cbrt.f64 1/2025) (+.f64 (.f64 -1/5 (pow.f64 x 3)) (.f64 -1/75 (pow.f64 x 5)))) (.f64 (cbrt.f64 1/2025) (+.f64 (.f64 x -3) (.f64 -1/1125 (pow.f64 x 7)))))
(*.f64 45 (/.f64 (cbrt.f64 1/2025) x))
(+.f64 (.f64 45 (/.f64 (cbrt.f64 1/2025) x)) (.f64 675 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 3))))
(fma.f64 45 (/.f64 (cbrt.f64 1/2025) x) (*.f64 675 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 3))))
(.f64 (/.f64 (cbrt.f64 1/2025) x) (+.f64 45 (/.f64 675 (.f64 x x))))
(+.f64 (.f64 45 (/.f64 (cbrt.f64 1/2025) x)) (+.f64 (.f64 10125 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 5))) (*.f64 675 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 3)))))
(fma.f64 45 (/.f64 (cbrt.f64 1/2025) x) (fma.f64 10125 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 5)) (*.f64 675 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 3)))))
(fma.f64 45 (/.f64 (cbrt.f64 1/2025) x) (fma.f64 675 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 3)) (/.f64 10125 (/.f64 (pow.f64 x 5) (cbrt.f64 1/2025)))))
(fma.f64 10125 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 5)) (.f64 (/.f64 (cbrt.f64 1/2025) x) (+.f64 45 (/.f64 675 (.f64 x x)))))
(+.f64 (.f64 45 (/.f64 (cbrt.f64 1/2025) x)) (+.f64 (.f64 10125 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 5))) (+.f64 (.f64 675 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 3))) (.f64 151875 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 7))))))
(fma.f64 45 (/.f64 (cbrt.f64 1/2025) x) (fma.f64 10125 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 5)) (fma.f64 675 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 3)) (*.f64 151875 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 7))))))
(fma.f64 45 (/.f64 (cbrt.f64 1/2025) x) (fma.f64 10125 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 5)) (fma.f64 675 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 3)) (/.f64 (*.f64 (cbrt.f64 1/2025) 151875) (pow.f64 x 7)))))
(+.f64 (.f64 (/.f64 (cbrt.f64 1/2025) x) (+.f64 45 (/.f64 675 (.f64 x x)))) (fma.f64 10125 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 5)) (/.f64 (cbrt.f64 1/2025) (/.f64 (pow.f64 x 7) 151875))))
(*.f64 45 (/.f64 (cbrt.f64 1/2025) x))
(+.f64 (.f64 45 (/.f64 (cbrt.f64 1/2025) x)) (.f64 675 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 3))))
(fma.f64 45 (/.f64 (cbrt.f64 1/2025) x) (*.f64 675 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 3))))
(.f64 (/.f64 (cbrt.f64 1/2025) x) (+.f64 45 (/.f64 675 (.f64 x x))))
(+.f64 (.f64 45 (/.f64 (cbrt.f64 1/2025) x)) (+.f64 (.f64 10125 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 5))) (*.f64 675 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 3)))))
(fma.f64 45 (/.f64 (cbrt.f64 1/2025) x) (fma.f64 10125 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 5)) (*.f64 675 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 3)))))
(fma.f64 45 (/.f64 (cbrt.f64 1/2025) x) (fma.f64 675 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 3)) (/.f64 10125 (/.f64 (pow.f64 x 5) (cbrt.f64 1/2025)))))
(fma.f64 10125 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 5)) (.f64 (/.f64 (cbrt.f64 1/2025) x) (+.f64 45 (/.f64 675 (.f64 x x)))))
(+.f64 (.f64 45 (/.f64 (cbrt.f64 1/2025) x)) (+.f64 (.f64 10125 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 5))) (+.f64 (.f64 675 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 3))) (.f64 151875 (/.f64 (cbrt.f64 1/2025) (pow.f64 x 7))))))
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(pow.f64 (pow.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025))) 3) 1/3)
(.f64 x (.f64 (cbrt.f64 1/2025) (/.f64 x (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45)))))
(.f64 x (/.f64 (cbrt.f64 1/2025) (/.f64 (fma.f64 x -1/3 (.f64 (pow.f64 x 3) 1/45)) x)))
(.f64 x (.f64 x (/.f64 (cbrt.f64 1/2025) (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45)))))
(pow.f64 (cbrt.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025)))) 3)
(.f64 x (.f64 (cbrt.f64 1/2025) (/.f64 x (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45)))))
(.f64 x (/.f64 (cbrt.f64 1/2025) (/.f64 (fma.f64 x -1/3 (.f64 (pow.f64 x 3) 1/45)) x)))
(.f64 x (.f64 x (/.f64 (cbrt.f64 1/2025) (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45)))))
(pow.f64 (sqrt.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025)))) 2)
(.f64 x (.f64 (cbrt.f64 1/2025) (/.f64 x (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45)))))
(.f64 x (/.f64 (cbrt.f64 1/2025) (/.f64 (fma.f64 x -1/3 (.f64 (pow.f64 x 3) 1/45)) x)))
(.f64 x (.f64 x (/.f64 (cbrt.f64 1/2025) (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45)))))
(sqrt.f64 (.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))) 2) (cbrt.f64 1/4100625)))
(sqrt.f64 (.f64 (cbrt.f64 1/4100625) (pow.f64 (.f64 x (/.f64 x (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45)))) 2)))
(sqrt.f64 (.f64 (cbrt.f64 1/4100625) (pow.f64 (/.f64 (.f64 x x) (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45))) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))) (cbrt.f64 1/2025)))
(.f64 x (.f64 (cbrt.f64 1/2025) (/.f64 x (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45)))))
(.f64 x (/.f64 (cbrt.f64 1/2025) (/.f64 (fma.f64 x -1/3 (.f64 (pow.f64 x 3) 1/45)) x)))
(.f64 x (.f64 x (/.f64 (cbrt.f64 1/2025) (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025))))))
(.f64 x (.f64 (cbrt.f64 1/2025) (/.f64 x (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45)))))
(.f64 x (/.f64 (cbrt.f64 1/2025) (/.f64 (fma.f64 x -1/3 (.f64 (pow.f64 x 3) 1/45)) x)))
(.f64 x (.f64 x (/.f64 (cbrt.f64 1/2025) (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025))) 3))
(.f64 x (.f64 (cbrt.f64 1/2025) (/.f64 x (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45)))))
(.f64 x (/.f64 (cbrt.f64 1/2025) (/.f64 (fma.f64 x -1/3 (.f64 (pow.f64 x 3) 1/45)) x)))
(.f64 x (.f64 x (/.f64 (cbrt.f64 1/2025) (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))) 3) 1/2025))
(.f64 x (.f64 (cbrt.f64 1/2025) (/.f64 x (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45)))))
(.f64 x (/.f64 (cbrt.f64 1/2025) (/.f64 (fma.f64 x -1/3 (.f64 (pow.f64 x 3) 1/45)) x)))
(.f64 x (.f64 x (/.f64 (cbrt.f64 1/2025) (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45)))))
(cbrt.f64 (.f64 1/2025 (pow.f64 (.f64 x (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3))))) 3)))
(.f64 x (.f64 (cbrt.f64 1/2025) (/.f64 x (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45)))))
(.f64 x (/.f64 (cbrt.f64 1/2025) (/.f64 (fma.f64 x -1/3 (.f64 (pow.f64 x 3) 1/45)) x)))
(.f64 x (.f64 x (/.f64 (cbrt.f64 1/2025) (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45)))))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025)))))
(.f64 x (.f64 (cbrt.f64 1/2025) (/.f64 x (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45)))))
(.f64 x (/.f64 (cbrt.f64 1/2025) (/.f64 (fma.f64 x -1/3 (.f64 (pow.f64 x 3) 1/45)) x)))
(.f64 x (.f64 x (/.f64 (cbrt.f64 1/2025) (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025)))))
(.f64 x (.f64 (cbrt.f64 1/2025) (/.f64 x (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45)))))
(.f64 x (/.f64 (cbrt.f64 1/2025) (/.f64 (fma.f64 x -1/3 (.f64 (pow.f64 x 3) 1/45)) x)))
(.f64 x (.f64 x (/.f64 (cbrt.f64 1/2025) (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45)))))
(exp.f64 (log.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (*.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025)))))
(.f64 x (.f64 (cbrt.f64 1/2025) (/.f64 x (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45)))))
(.f64 x (/.f64 (cbrt.f64 1/2025) (/.f64 (fma.f64 x -1/3 (.f64 (pow.f64 x 3) 1/45)) x)))
(.f64 x (.f64 x (/.f64 (cbrt.f64 1/2025) (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45)))))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 (/.f64 x (fma.f64 x -1/3 (.f64 1/45 (pow.f64 x 3)))) (cbrt.f64 1/2025)))) 1))
(.f64 x (.f64 (cbrt.f64 1/2025) (/.f64 x (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45)))))
(.f64 x (/.f64 (cbrt.f64 1/2025) (/.f64 (fma.f64 x -1/3 (.f64 (pow.f64 x 3) 1/45)) x)))
(.f64 x (.f64 x (/.f64 (cbrt.f64 1/2025) (fma.f64 x -1/3 (*.f64 (pow.f64 x 3) 1/45)))))
(+.f64 0 (*.f64 x -1/3))
(*.f64 x -1/3)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) x)) (cbrt.f64 (pow.f64 (exp.f64 -1/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) x))))
(*.f64 x -1/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/3))) 1)
(*.f64 x -1/3)
(pow.f64 (*.f64 x -1/3) 1)
(*.f64 x -1/3)
(pow.f64 (pow.f64 (*.f64 x -1/3) 3) 1/3)
(*.f64 x -1/3)
(pow.f64 (cbrt.f64 (*.f64 x -1/3)) 3)
(*.f64 x -1/3)
(pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2)
(*.f64 x -1/3)
(sqrt.f64 (.f64 (.f64 x x) 1/9))
(sqrt.f64 (.f64 x (.f64 x 1/9)))
(fabs.f64 (*.f64 x -1/3))
(log.f64 (pow.f64 (exp.f64 -1/3) x))
(*.f64 x -1/3)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/3))))
(*.f64 x -1/3)
(cbrt.f64 (pow.f64 (*.f64 x -1/3) 3))
(*.f64 x -1/3)
(expm1.f64 (log1p.f64 (*.f64 x -1/3)))
(*.f64 x -1/3)
(log1p.f64 (expm1.f64 (*.f64 x -1/3)))
(*.f64 x -1/3)
(exp.f64 (log.f64 (*.f64 x -1/3)))
(*.f64 x -1/3)
(exp.f64 (.f64 (log.f64 (.f64 x -1/3)) 1))
(*.f64 x -1/3)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 x x) 1/9)
✓	30.6b	(sqrt.f64 (.f64 (.f64 x x) 1/9))

Compiler

Compiled 17 to 8 computations (52.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(sqrt.f64 (.f64 (.f64 x x) 1/9))
0.0ms	x	@	inf	(sqrt.f64 (.f64 (.f64 x x) 1/9))
0.0ms	x	@	-inf	(sqrt.f64 (.f64 (.f64 x x) 1/9))

rewrite38.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

508×	`pow1_binary64`
492×	`add-sqr-sqrt_binary64`
475×	`add-log-exp_binary64`
475×	`log1p-expm1-u_binary64`
475×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	124	4
2	1396	4

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (.f64 x x) 1/9))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 1/9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/3)) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 (*.f64 x 1/9) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/9 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))))

simplify39.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

656×	`log-prod_binary64`
358×	`associate-l_binary64`
301×	`associate-r_binary64`
282×	`exp-sum_binary64`
265×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	206
1	136	200
2	442	196
3	2473	196
4	5798	196

Stop Event

1×	node limit

Counts

38 → 31

Calls

Call 1

Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
(*.f64 x 1/3)
(*.f64 x (pow.f64 1/9 1/2))
(.f64 (.f64 x 1/3) 1)
(.f64 1 (.f64 x 1/3))
(.f64 (cbrt.f64 (.f64 x 1/3)) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (cbrt.f64 (*.f64 x 1/3)))
(.f64 (sqrt.f64 (.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 1/9)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 x 1/9) 1/2))
(*.f64 1/3 x)
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/81))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(*.f64 (pow.f64 1/9 1/2) x)
(.f64 (pow.f64 1 1/2) (.f64 x 1/3))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/81)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1/2))
(pow.f64 (.f64 (.f64 x x) 1/9) 1/2)
(pow.f64 (*.f64 x 1/3) 1)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(fabs.f64 (*.f64 x 1/3))
(log.f64 (exp.f64 (*.f64 x 1/3)))
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(exp.f64 (log.f64 (*.f64 x 1/3)))

Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x (pow.f64 1/9 1/2))
(*.f64 1/3 x)
(.f64 (.f64 x 1/3) 1)
(*.f64 1/3 x)
(.f64 1 (.f64 x 1/3))
(*.f64 1/3 x)
(.f64 (cbrt.f64 (.f64 x 1/3)) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2))
(*.f64 1/3 x)
(.f64 (pow.f64 (cbrt.f64 (.f64 x 1/3)) 2) (cbrt.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(.f64 (sqrt.f64 (.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 1/9)))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 x 1/9) 1/2))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 1/9)))
(*.f64 1/3 x)
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/81))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/81))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/81))) (fabs.f64 (cbrt.f64 (*.f64 1/3 x))))
(.f64 (cbrt.f64 (.f64 1/3 x)) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))))
(*.f64 (pow.f64 1/9 1/2) x)
(*.f64 1/3 x)
(.f64 (pow.f64 1 1/2) (.f64 x 1/3))
(*.f64 1/3 x)
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/81)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/81))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/81))) (fabs.f64 (cbrt.f64 (*.f64 1/3 x))))
(.f64 (cbrt.f64 (.f64 1/3 x)) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/81))))
(pow.f64 (.f64 (.f64 x x) 1/9) 1/2)
(*.f64 1/3 x)
(pow.f64 (*.f64 x 1/3) 1)
(*.f64 1/3 x)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(*.f64 1/3 x)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(*.f64 1/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(*.f64 1/3 x)
(fabs.f64 (*.f64 x 1/3))
(*.f64 1/3 x)
(log.f64 (exp.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(*.f64 1/3 x)
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(exp.f64 (log.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))
✓	0.3b	(/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))
	0.3b	(*.f64 x 1/3)
✓	0.7b	(/.f64 1 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))

Compiler

Compiled 42 to 33 computations (21.4% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 1 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
0.0ms	x	@	inf	(/.f64 1 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
0.0ms	x	@	0	(/.f64 1 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
0.0ms	x	@	-inf	(/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))
0.0ms	x	@	inf	(/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

861×	`pow1_binary64`
809×	`add-log-exp_binary64`
808×	`log1p-expm1-u_binary64`
808×	`expm1-log1p-u_binary64`
793×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	237	36
2	2318	36

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))
(fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/3) (*.f64 -1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/45 (pow.f64 x 3)) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/45 (pow.f64 x 3)) 1) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2) (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))) (cbrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -2)) (cbrt.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1/2) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) -1) (pow.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/3) (*.f64 -1/45 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/45 (pow.f64 x 3)) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/45 (pow.f64 x 3)) 1) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2) (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (/.f64 -1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2) (cbrt.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/45 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 1/3) 3)) (+.f64 (*.f64 (*.f64 -1/45 (pow.f64 x 3)) (*.f64 -1/45 (pow.f64 x 3))) (-.f64 (pow.f64 (*.f64 x 1/3) 2) (*.f64 (*.f64 -1/45 (pow.f64 x 3)) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -1/45 (pow.f64 x 3)) (*.f64 -1/45 (pow.f64 x 3))) (pow.f64 (*.f64 x 1/3) 2)) (-.f64 (*.f64 -1/45 (pow.f64 x 3)) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -2))) (cbrt.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))))))

simplify47.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

685×	`unswap-sqr_binary64`
471×	`fma-def_binary64`
335×	`associate-*l/_binary64`
305×	`associate-/r*_binary64`
283×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	1715
1	398	1628
2	1631	1561

Stop Event

1×	node limit

Counts

113 → 100

Calls

Call 1

Inputs
(*.f64 1/3 x)
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(*.f64 -1/45 (pow.f64 x 3))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(*.f64 -1/45 (pow.f64 x 3))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(/.f64 3 x)
(+.f64 (.f64 1/5 x) (.f64 3 (/.f64 1 x)))
(+.f64 (.f64 1/5 x) (+.f64 (.f64 1/75 (pow.f64 x 3)) (*.f64 3 (/.f64 1 x))))
(+.f64 (.f64 1/5 x) (+.f64 (.f64 1/1125 (pow.f64 x 5)) (+.f64 (.f64 1/75 (pow.f64 x 3)) (.f64 3 (/.f64 1 x)))))
(/.f64 -45 (pow.f64 x 3))
(neg.f64 (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (.f64 45 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (.f64 10125 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (*.f64 45 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 10125 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 151875 (/.f64 1 (pow.f64 x 9))) (.f64 45 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 -45 (pow.f64 x 3))
(neg.f64 (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (.f64 45 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (.f64 10125 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (*.f64 45 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 10125 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 151875 (/.f64 1 (pow.f64 x 9))) (.f64 45 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 1/3 x)
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(*.f64 -1/45 (pow.f64 x 3))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(*.f64 -1/45 (pow.f64 x 3))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3)))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 x 1/3))
(+.f64 (.f64 (.f64 -1/45 (pow.f64 x 3)) 1) (*.f64 x 1/3))
(-.f64 (+.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 1)
(.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))
(.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) 1)
(.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) 2) (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(.f64 -1 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))) -1))
(.f64 (pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1/2) -1))
(pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 1)
(pow.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) -1)
(pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 3)
(pow.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 2))
(log.f64 (exp.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(cbrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(log1p.f64 (expm1.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(exp.f64 (log.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))) 1)
(.f64 1 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))))
(.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) 1)
(.f64 (cbrt.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))) (cbrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) -2)) (cbrt.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))
(.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) -1/2) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1/2))
(.f64 -1 (/.f64 -1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) -1))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) -1) (pow.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) -1))
(pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1)
(pow.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 1)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))
(+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3)))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 x 1/3))
(+.f64 (.f64 (.f64 -1/45 (pow.f64 x 3)) 1) (*.f64 x 1/3))
(-.f64 (+.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 1)
(.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))
(.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) 1)
(.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) 2) (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(.f64 -1 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))) -1))
(.f64 (pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1/2) -1))
(/.f64 1 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(/.f64 1 (neg.f64 (/.f64 -1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))))
(/.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 1)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) 2) (cbrt.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))))
(/.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) -1/2))
(/.f64 -1 (/.f64 -1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(/.f64 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) -1)
(/.f64 (+.f64 (pow.f64 (.f64 -1/45 (pow.f64 x 3)) 3) (pow.f64 (.f64 x 1/3) 3)) (+.f64 (.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 -1/45 (pow.f64 x 3))) (-.f64 (pow.f64 (.f64 x 1/3) 2) (.f64 (.f64 -1/45 (pow.f64 x 3)) (*.f64 x 1/3)))))
(/.f64 (-.f64 (.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 -1/45 (pow.f64 x 3))) (pow.f64 (.f64 x 1/3) 2)) (-.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 x 1/3)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) -2))) (cbrt.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))))
(pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 1)
(pow.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) -1)
(pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 3)
(pow.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 2))
(log.f64 (exp.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(cbrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(log1p.f64 (expm1.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(exp.f64 (log.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))

Outputs
(*.f64 1/3 x)
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(*.f64 -1/45 (pow.f64 x 3))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(*.f64 -1/45 (pow.f64 x 3))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(/.f64 3 x)
(+.f64 (.f64 1/5 x) (.f64 3 (/.f64 1 x)))
(fma.f64 1/5 x (/.f64 3 x))
(fma.f64 x 1/5 (/.f64 3 x))
(+.f64 (.f64 1/5 x) (+.f64 (.f64 1/75 (pow.f64 x 3)) (*.f64 3 (/.f64 1 x))))
(fma.f64 1/5 x (fma.f64 1/75 (pow.f64 x 3) (/.f64 3 x)))
(fma.f64 x 1/5 (fma.f64 (pow.f64 x 3) 1/75 (/.f64 3 x)))
(+.f64 (.f64 1/5 x) (+.f64 (.f64 1/1125 (pow.f64 x 5)) (+.f64 (.f64 1/75 (pow.f64 x 3)) (.f64 3 (/.f64 1 x)))))
(fma.f64 1/5 x (fma.f64 1/1125 (pow.f64 x 5) (fma.f64 1/75 (pow.f64 x 3) (/.f64 3 x))))
(fma.f64 x 1/5 (fma.f64 1/1125 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) 1/75 (/.f64 3 x))))
(/.f64 -45 (pow.f64 x 3))
(neg.f64 (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (.f64 45 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 675 (pow.f64 x 5)) (/.f64 45 (pow.f64 x 3))))
(+.f64 (/.f64 -675 (pow.f64 x 5)) (/.f64 -45 (pow.f64 x 3)))
(-.f64 (/.f64 -45 (pow.f64 x 3)) (/.f64 675 (pow.f64 x 5)))
(neg.f64 (+.f64 (.f64 10125 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (*.f64 45 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (+.f64 (/.f64 675 (pow.f64 x 5)) (/.f64 45 (pow.f64 x 3))) (/.f64 10125 (pow.f64 x 7))))
(+.f64 (+.f64 (/.f64 -675 (pow.f64 x 5)) (/.f64 -45 (pow.f64 x 3))) (/.f64 -10125 (pow.f64 x 7)))
(+.f64 (-.f64 (/.f64 -45 (pow.f64 x 3)) (/.f64 675 (pow.f64 x 5))) (/.f64 -10125 (pow.f64 x 7)))
(neg.f64 (+.f64 (.f64 10125 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 151875 (/.f64 1 (pow.f64 x 9))) (.f64 45 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 10125 (pow.f64 x 7)) (+.f64 (+.f64 (/.f64 675 (pow.f64 x 5)) (/.f64 151875 (pow.f64 x 9))) (/.f64 45 (pow.f64 x 3)))))
(-.f64 (/.f64 -10125 (pow.f64 x 7)) (+.f64 (/.f64 675 (pow.f64 x 5)) (+.f64 (/.f64 45 (pow.f64 x 3)) (/.f64 151875 (pow.f64 x 9)))))
(+.f64 (/.f64 -10125 (pow.f64 x 7)) (-.f64 (-.f64 (/.f64 -45 (pow.f64 x 3)) (/.f64 675 (pow.f64 x 5))) (/.f64 151875 (pow.f64 x 9))))
(/.f64 -45 (pow.f64 x 3))
(neg.f64 (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (.f64 45 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 675 (pow.f64 x 5)) (/.f64 45 (pow.f64 x 3))))
(+.f64 (/.f64 -675 (pow.f64 x 5)) (/.f64 -45 (pow.f64 x 3)))
(-.f64 (/.f64 -45 (pow.f64 x 3)) (/.f64 675 (pow.f64 x 5)))
(neg.f64 (+.f64 (.f64 10125 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (*.f64 45 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (+.f64 (/.f64 675 (pow.f64 x 5)) (/.f64 45 (pow.f64 x 3))) (/.f64 10125 (pow.f64 x 7))))
(+.f64 (+.f64 (/.f64 -675 (pow.f64 x 5)) (/.f64 -45 (pow.f64 x 3))) (/.f64 -10125 (pow.f64 x 7)))
(+.f64 (-.f64 (/.f64 -45 (pow.f64 x 3)) (/.f64 675 (pow.f64 x 5))) (/.f64 -10125 (pow.f64 x 7)))
(neg.f64 (+.f64 (.f64 10125 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 675 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 151875 (/.f64 1 (pow.f64 x 9))) (.f64 45 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 10125 (pow.f64 x 7)) (+.f64 (+.f64 (/.f64 675 (pow.f64 x 5)) (/.f64 151875 (pow.f64 x 9))) (/.f64 45 (pow.f64 x 3)))))
(-.f64 (/.f64 -10125 (pow.f64 x 7)) (+.f64 (/.f64 675 (pow.f64 x 5)) (+.f64 (/.f64 45 (pow.f64 x 3)) (/.f64 151875 (pow.f64 x 9)))))
(+.f64 (/.f64 -10125 (pow.f64 x 7)) (-.f64 (-.f64 (/.f64 -45 (pow.f64 x 3)) (/.f64 675 (pow.f64 x 5))) (/.f64 151875 (pow.f64 x 9))))
(*.f64 1/3 x)
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(*.f64 -1/45 (pow.f64 x 3))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(*.f64 -1/45 (pow.f64 x 3))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 1/3 x))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3)))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (.f64 x 1/3))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(+.f64 (.f64 (.f64 -1/45 (pow.f64 x 3)) 1) (*.f64 x 1/3))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(-.f64 (+.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 1)
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) 1)
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) 2) (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))) (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(.f64 -1 (neg.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3))))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))) -1))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 1/3 (.f64 -1/45 (pow.f64 x 3))) -2))) (/.f64 1 (cbrt.f64 (/.f64 1 (fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 1/3 x (.f64 -1/45 (pow.f64 x 3))) -2))) (/.f64 1 (cbrt.f64 (/.f64 1 (fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))))))
(/.f64 1 (.f64 (cbrt.f64 (pow.f64 (fma.f64 1/3 x (.f64 -1/45 (pow.f64 x 3))) -2)) (cbrt.f64 (/.f64 1 (fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))))))
(.f64 (pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (.f64 x 1/3)) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) -1/2) -1))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 1)
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(pow.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) -1)
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 3) 1/3)
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
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(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(pow.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) -1)
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(pow.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 3) 1/3)
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(pow.f64 (cbrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 3)
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(pow.f64 (sqrt.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))) 2)
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(sqrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 2))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(log.f64 (exp.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)) 3))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(log1p.f64 (expm1.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))
(exp.f64 (log.f64 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(fma.f64 x 1/3 (*.f64 -1/45 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 -1/45 (pow.f64 x 3)))

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
✓	0.4b	(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
✓	0.4b	(pow.f64 (cbrt.f64 x) 2)
✓	0.5b	(cbrt.f64 x)

Compiler

Compiled 25 to 15 computations (40% saved)

series11.0ms (0.1%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(.f64 (.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
2.0ms	x	@	0	(.f64 (.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
1.0ms	x	@	inf	(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
1.0ms	x	@	0	(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 x) 2)

rewrite50.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

639×	`pow1_binary64`
592×	`add-log-exp_binary64`
592×	`log1p-expm1-u_binary64`
592×	`expm1-log1p-u_binary64`
579×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	163	22
2	1709	22

Stop Event

1×	node limit

Counts

4 → 58

Calls

Call 1

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

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

simplify39.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

642×	`fma-def_binary64`
451×	`log-prod_binary64`
443×	`distribute-rgt-in_binary64`
413×	`distribute-lft-in_binary64`
349×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	634
1	240	514
2	914	401
3	3433	398

Stop Event

1×	node limit

Counts

70 → 76

Calls

Call 1

Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(-.f64 (+.f64 1 (cbrt.f64 x)) 1)
(*.f64 (cbrt.f64 x) 1)
(*.f64 1 (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(pow.f64 x 1/3)
(pow.f64 (cbrt.f64 x) 1)
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(pow.f64 (pow.f64 x 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2))
(fabs.f64 (cbrt.f64 x))
(log.f64 (exp.f64 (cbrt.f64 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 x) 2)) 1)
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 x) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6))
(.f64 (pow.f64 x 1/6) (.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(.f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(sqrt.f64 (*.f64 x (cbrt.f64 x)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))
(cbrt.f64 (*.f64 x x))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))
(-.f64 (+.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)) 1)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) 1)
(pow.f64 (.f64 (.f64 1/9 (*.f64 x x)) 1/3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)) 3)
(pow.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 1/3)) 2)
(sqrt.f64 (.f64 (.f64 x (cbrt.f64 x)) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 x) 2)))
(cbrt.f64 (.f64 (.f64 1/9 (*.f64 x x)) 1/3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)))
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
(pow.f64 (*.f64 x 1/3) 1)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(sqrt.f64 (.f64 1/9 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(exp.f64 (log.f64 (*.f64 x 1/3)))

Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(-.f64 (+.f64 1 (cbrt.f64 x)) 1)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 (cbrt.f64 x) 1)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 1 (cbrt.f64 x))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (fabs.f64 (cbrt.f64 (cbrt.f64 x))))
(.f64 (cbrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (sqrt.f64 x) 1/6) 4)
(pow.f64 x 1/3)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 1)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(pow.f64 (pow.f64 x 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(fabs.f64 (cbrt.f64 x))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(log.f64 (exp.f64 (cbrt.f64 x)))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(exp.f64 (log.f64 (cbrt.f64 x)))
(+.f64 1 (-.f64 (cbrt.f64 x) 1))
(+.f64 (cbrt.f64 x) 0)
(cbrt.f64 x)
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 x) 2)) 1)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 x) 2) 0)
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 x) 2) 0)
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (pow.f64 (cbrt.f64 x) 2) 1)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 x) 2) 0)
(pow.f64 (cbrt.f64 x) 2)
(*.f64 1 (pow.f64 (cbrt.f64 x) 2))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 x) 2) 0)
(pow.f64 (cbrt.f64 x) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 x) 2) 0)
(pow.f64 (cbrt.f64 x) 2)
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6))
(*.f64 (pow.f64 x 1/6) (sqrt.f64 x))
(.f64 (pow.f64 x 1/6) (.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 x) 2) 0)
(pow.f64 (cbrt.f64 x) 2)
(.f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 x) 2) 0)
(pow.f64 (cbrt.f64 x) 2)
(sqrt.f64 (*.f64 x (cbrt.f64 x)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 x) 2) 0)
(pow.f64 (cbrt.f64 x) 2)
(cbrt.f64 (*.f64 x x))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 x) 2) 0)
(pow.f64 (cbrt.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 x) 2) 0)
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 x) 2) 0)
(pow.f64 (cbrt.f64 x) 2)
(-.f64 (+.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)) 1)
(+.f64 1 (-.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) 1))
(+.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) 0)
(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) 1)
(+.f64 1 (-.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) 1))
(+.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) 0)
(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (.f64 (.f64 1/9 (*.f64 x x)) 1/3) 1/3)
(cbrt.f64 (.f64 1/3 (.f64 (*.f64 x x) 1/9)))
(cbrt.f64 (.f64 (.f64 x x) 1/27))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)) 3)
(+.f64 1 (-.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) 1))
(+.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) 0)
(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 1/3)) 2)
(+.f64 1 (-.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) 1))
(+.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) 0)
(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(sqrt.f64 (.f64 (.f64 x (cbrt.f64 x)) 1/9))
(sqrt.f64 (.f64 x (.f64 (cbrt.f64 x) 1/9)))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (cbrt.f64 x) 2)))
(+.f64 1 (-.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) 1))
(+.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) 0)
(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(cbrt.f64 (.f64 (.f64 1/9 (*.f64 x x)) 1/3))
(cbrt.f64 (.f64 1/3 (.f64 (*.f64 x x) 1/9)))
(cbrt.f64 (.f64 (.f64 x x) 1/27))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)))
(+.f64 1 (-.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) 1))
(+.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) 0)
(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)))
(+.f64 1 (-.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) 1))
(+.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) 0)
(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)))
(+.f64 1 (-.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) 1))
(+.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) 0)
(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
(-.f64 (+.f64 1 (*.f64 x 1/3)) 1)
(*.f64 1/3 x)
(pow.f64 (*.f64 x 1/3) 1)
(*.f64 1/3 x)
(pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)
(*.f64 1/3 x)
(pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)
(*.f64 1/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)
(*.f64 1/3 x)
(sqrt.f64 (.f64 1/9 (.f64 x x)))
(*.f64 1/3 x)
(log.f64 (pow.f64 (exp.f64 1/3) x))
(*.f64 1/3 x)
(cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))
(*.f64 1/3 x)
(expm1.f64 (log1p.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)
(exp.f64 (log.f64 (*.f64 x 1/3)))
(*.f64 1/3 x)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (*.f64 1/3 x))
✓	0.1b	(.f64 (pow.f64 (.f64 1/3 x) 1/4) (sqrt.f64 (*.f64 1/3 x)))
✓	0.2b	(.f64 (pow.f64 (.f64 1/3 x) 1/4) (.f64 (pow.f64 (.f64 1/3 x) 1/4) (sqrt.f64 (*.f64 1/3 x))))
	0.3b	(*.f64 1/3 x)

Compiler

Compiled 42 to 33 computations (21.4% saved)

series59.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
40.0ms	x	@	0	(.f64 (pow.f64 (.f64 1/3 x) 1/4) (sqrt.f64 (*.f64 1/3 x)))
10.0ms	x	@	-inf	(.f64 (pow.f64 (.f64 1/3 x) 1/4) (sqrt.f64 (*.f64 1/3 x)))
6.0ms	x	@	inf	(.f64 (pow.f64 (.f64 1/3 x) 1/4) (sqrt.f64 (*.f64 1/3 x)))
1.0ms	x	@	0	(.f64 (pow.f64 (.f64 1/3 x) 1/4) (.f64 (pow.f64 (.f64 1/3 x) 1/4) (sqrt.f64 (*.f64 1/3 x))))
1.0ms	x	@	-inf	(.f64 (pow.f64 (.f64 1/3 x) 1/4) (.f64 (pow.f64 (.f64 1/3 x) 1/4) (sqrt.f64 (*.f64 1/3 x))))

rewrite44.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

685×	`pow1_binary64`
642×	`add-log-exp_binary64`
642×	`log1p-expm1-u_binary64`
642×	`expm1-log1p-u_binary64`
626×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	192	11
2	2183	11

Stop Event

1×	node limit

Counts

2 → 25

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 1/3 x) 1/4) (.f64 (pow.f64 (.f64 1/3 x) 1/4) (sqrt.f64 (*.f64 1/3 x))))
(.f64 (pow.f64 (.f64 1/3 x) 1/4) (sqrt.f64 (*.f64 1/3 x)))

Outputs

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

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

simplify37.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

652×	`distribute-rgt-in_binary64`
599×	`log-prod_binary64`
451×	`fma-def_binary64`
441×	`associate-l_binary64`
388×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	634
1	215	460
2	682	379
3	3694	378

Stop Event

1×	node limit

Counts

49 → 41

Calls

Call 1

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

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

eval299.0ms (2.2%)

Compiler: Compiled 13504 to 10541 computations (21.9% saved)

prune149.0ms (1.1%)

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	589	8	597
Fresh	9	5	14
Picked	1	0	1
Done	4	7	11
Total	603	20	623

Error

Counts

623 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(fma.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12))) (.f64 (cbrt.f64 1/2025) (.f64 x -3)) (.f64 (/.f64 x (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3))) (.f64 x -1/9)))
✓	0.3b	(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
	1.7b	(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) 3)
✓	32.6b	(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
✓	30.7b	(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 x x) 1/9)) (-.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))
	1.8b	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))) 3))
	0.8b	(/.f64 1 (/.f64 3 x))
	0.9b	(/.f64 1 (+.f64 (.f64 1/5 x) (.f64 3 (/.f64 1 x))))
	0.2b	(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9))))
	0.3b	(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) x)) 1/9))
✓	0.3b	(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
	32.7b	(.f64 (pow.f64 (.f64 1/3 x) 1/4) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 1/3 x) 3/4)) 2))
	31.0b	(.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025)) (/.f64 3 x))
✓	1.5b	(.f64 (.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
	16.4b	(.f64 (.f64 1/3 (sqrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 x))
	32.6b	(.f64 (.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
	16.4b	(.f64 (sqrt.f64 (.f64 (*.f64 x (cbrt.f64 x)) 1/9)) (cbrt.f64 x))
✓	0.4b	(*.f64 1/3 x)
✓	45.8b	(sqrt.f64 (.f64 (.f64 x x) 1/9))
	45.8b	(sqrt.f64 (.f64 x (.f64 x 1/9)))

Compiler

Compiled 267 to 206 computations (22.8% saved)

regimes34.0ms (0.3%)

Counts

36 → 1

Calls

Call 1

Inputs
(*.f64 1/3 x)
(/.f64 1 (/.f64 3 x))
(/.f64 1 (+.f64 (.f64 1/5 x) (.f64 3 (/.f64 1 x))))
(sqrt.f64 (.f64 x (.f64 x 1/9)))
(sqrt.f64 (.f64 (.f64 x x) 1/9))
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025)) (/.f64 3 x))
(.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025)) (+.f64 (.f64 1/5 x) (.f64 3 (/.f64 1 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(.f64 (.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(/.f64 1 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 x (.f64 x 1/9))) (-.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 x x) 1/9)) (-.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))
(.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025)) (/.f64 1 (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3))) (-.f64 (.f64 (.f64 x x) 1/9) (*.f64 (pow.f64 x 6) 1/2025))))
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) 3)
(.f64 (.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/3))
(pow.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 1/4) 2) 2)
(.f64 (sqrt.f64 1/3) (.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 (*.f64 x (cbrt.f64 x)) 1/9)) (cbrt.f64 x))
(.f64 (.f64 1/3 (sqrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 1/3 x) 1/4) (.f64 (pow.f64 (.f64 1/3 x) 1/4) (sqrt.f64 (*.f64 1/3 x))))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3) 3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 1/9)) (.f64 1/45 (pow.f64 x 3)))
(.f64 (pow.f64 (.f64 1/3 x) 1/4) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 1/3 x) 3/4)) 2))
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/3 x))) 2) 3) (cbrt.f64 (*.f64 1/3 x)))
(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) x)) 1/9))
(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9))))
(fma.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12))) (.f64 (cbrt.f64 1/2025) (.f64 x -3)) (.f64 (/.f64 x (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3))) (.f64 x -1/9)))
(fma.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12))) (.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) x)) (cbrt.f64 1/2025)) (.f64 (/.f64 x (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3))) (.f64 x -1/9)))

Outputs
(fma.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12))) (.f64 (cbrt.f64 1/2025) (.f64 x -3)) (.f64 (/.f64 x (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3))) (.f64 x -1/9)))

Calls

2 calls:

15.0ms	x
3.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))`

Compiler

Compiled 494 to 368 computations (25.5% saved)

regimes29.0ms (0.2%)

Counts

34 → 1

Calls

Call 1

Inputs
(*.f64 1/3 x)
(/.f64 1 (/.f64 3 x))
(/.f64 1 (+.f64 (.f64 1/5 x) (.f64 3 (/.f64 1 x))))
(sqrt.f64 (.f64 x (.f64 x 1/9)))
(sqrt.f64 (.f64 (.f64 x x) 1/9))
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025)) (/.f64 3 x))
(.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025)) (+.f64 (.f64 1/5 x) (.f64 3 (/.f64 1 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(.f64 (.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(/.f64 1 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 x (.f64 x 1/9))) (-.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 x x) 1/9)) (-.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))
(.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025)) (/.f64 1 (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3))) (-.f64 (.f64 (.f64 x x) 1/9) (*.f64 (pow.f64 x 6) 1/2025))))
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) 3)
(.f64 (.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/3))
(pow.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 1/4) 2) 2)
(.f64 (sqrt.f64 1/3) (.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 (*.f64 x (cbrt.f64 x)) 1/9)) (cbrt.f64 x))
(.f64 (.f64 1/3 (sqrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 1/3 x) 1/4) (.f64 (pow.f64 (.f64 1/3 x) 1/4) (sqrt.f64 (*.f64 1/3 x))))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3) 3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 1/9)) (.f64 1/45 (pow.f64 x 3)))
(.f64 (pow.f64 (.f64 1/3 x) 1/4) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 1/3 x) 3/4)) 2))
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/3 x))) 2) 3) (cbrt.f64 (*.f64 1/3 x)))
(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) x)) 1/9))
(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9))))

Outputs
(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9))))

Calls

2 calls:

14.0ms	x
3.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))`

Compiler

Compiled 431 to 320 computations (25.8% saved)

regimes65.0ms (0.5%)

Counts

33 → 1

Calls

Call 1

Inputs
(*.f64 1/3 x)
(/.f64 1 (/.f64 3 x))
(/.f64 1 (+.f64 (.f64 1/5 x) (.f64 3 (/.f64 1 x))))
(sqrt.f64 (.f64 x (.f64 x 1/9)))
(sqrt.f64 (.f64 (.f64 x x) 1/9))
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025)) (/.f64 3 x))
(.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025)) (+.f64 (.f64 1/5 x) (.f64 3 (/.f64 1 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(.f64 (.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(/.f64 1 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 x (.f64 x 1/9))) (-.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 x x) 1/9)) (-.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))
(.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025)) (/.f64 1 (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3))) (-.f64 (.f64 (.f64 x x) 1/9) (*.f64 (pow.f64 x 6) 1/2025))))
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) 3)
(.f64 (.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/3))
(pow.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 1/4) 2) 2)
(.f64 (sqrt.f64 1/3) (.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 (*.f64 x (cbrt.f64 x)) 1/9)) (cbrt.f64 x))
(.f64 (.f64 1/3 (sqrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 1/3 x) 1/4) (.f64 (pow.f64 (.f64 1/3 x) 1/4) (sqrt.f64 (*.f64 1/3 x))))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3) 3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 1/9)) (.f64 1/45 (pow.f64 x 3)))
(.f64 (pow.f64 (.f64 1/3 x) 1/4) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 1/3 x) 3/4)) 2))
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/3 x))) 2) 3) (cbrt.f64 (*.f64 1/3 x)))
(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) x)) 1/9))

Outputs
(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) x)) 1/9))

Calls

2 calls:

50.0ms	x
3.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))`

Compiler

Compiled 402 to 298 computations (25.9% saved)

regimes28.0ms (0.2%)

Counts

32 → 1

Calls

Call 1

Inputs
(*.f64 1/3 x)
(/.f64 1 (/.f64 3 x))
(/.f64 1 (+.f64 (.f64 1/5 x) (.f64 3 (/.f64 1 x))))
(sqrt.f64 (.f64 x (.f64 x 1/9)))
(sqrt.f64 (.f64 (.f64 x x) 1/9))
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025)) (/.f64 3 x))
(.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025)) (+.f64 (.f64 1/5 x) (.f64 3 (/.f64 1 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(.f64 (.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 1/3 x (*.f64 1/45 (pow.f64 x 3)))
(/.f64 1 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 x (.f64 x 1/9))) (-.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/2025) (.f64 (.f64 x x) 1/9)) (-.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 x 1/3)))
(.f64 (-.f64 (.f64 (.f64 x x) 1/9) (.f64 (pow.f64 x 6) 1/2025)) (/.f64 1 (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (.f64 x 1/3) (.f64 -1/45 (pow.f64 x 3))) (-.f64 (.f64 (.f64 x x) 1/9) (*.f64 (pow.f64 x 6) 1/2025))))
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/3)) 3)
(.f64 (.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/3))
(pow.f64 (pow.f64 (pow.f64 (*.f64 1/3 x) 1/4) 2) 2)
(.f64 (sqrt.f64 1/3) (.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 (*.f64 x (cbrt.f64 x)) 1/9)) (cbrt.f64 x))
(.f64 (.f64 1/3 (sqrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 1/3 x) 1/4) (.f64 (pow.f64 (.f64 1/3 x) 1/4) (sqrt.f64 (*.f64 1/3 x))))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 x))) 3) 3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 1/9)) (.f64 1/45 (pow.f64 x 3)))
(.f64 (pow.f64 (.f64 1/3 x) 1/4) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 1/3 x) 3/4)) 2))
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 -1/45 (pow.f64 x 3) (*.f64 x 1/3)))) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/3 x))) 2) 3) (cbrt.f64 (*.f64 1/3 x)))

Outputs
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))

Calls

2 calls:

13.0ms	x
4.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))`

Compiler

Compiled 373 to 276 computations (26% saved)

regimes8.0ms (0.1%)

Accuracy

Total -60.0b remaining (-14994.7%)

Threshold costs -60.0b (-14994.7%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 1/3 x)
(/.f64 1 (/.f64 3 x))
(/.f64 1 (+.f64 (.f64 1/5 x) (.f64 3 (/.f64 1 x))))
(sqrt.f64 (.f64 x (.f64 x 1/9)))
(sqrt.f64 (.f64 (.f64 x x) 1/9))
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

Outputs
(*.f64 1/3 x)

Calls

2 calls:

4.0ms	x
2.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))`

Compiler

Compiled 51 to 38 computations (25.5% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative_binary64`
7×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	141
1	59	141
2	77	141
3	85	141
4	90	141
5	91	141

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12))) (.f64 (cbrt.f64 1/2025) (.f64 x -3)) (.f64 (/.f64 x (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3))) (.f64 x -1/9)))
(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9))))
(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) x)) 1/9))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(*.f64 1/3 x)

Outputs
(fma.f64 (cbrt.f64 (.f64 1/4100625 (pow.f64 x 12))) (.f64 (cbrt.f64 1/2025) (.f64 x -3)) (.f64 (/.f64 x (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3))) (.f64 x -1/9)))
(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) (.f64 x 1/9))))
(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (.f64 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) x)) 1/9))
(-.f64 (.f64 1/2025 (/.f64 (pow.f64 x 6) (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)))) (.f64 1/9 (/.f64 x (/.f64 (fma.f64 1/45 (pow.f64 x 3) (.f64 x -1/3)) x))))
(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
(+.f64 (.f64 x 1/3) (.f64 1/45 (pow.f64 x 3)))
(*.f64 1/3 x)
(*.f64 x 1/3)

Compiler

Compiled 102 to 79 computations (22.5% saved)

soundness177.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

731×	`fma-def_binary64`
603×	`associate-/l*_binary64`
545×	`times-frac_binary64`
418×	`associate-*l/_binary64`
399×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	293	2765
1	660	2724
2	2251	2313
0	270	1779
1	584	1728
2	1914	1627

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 335 to 260 computations (22.4% saved)

end103.0ms (0.8%)

Compiler: Compiled 98 to 75 computations (23.5% saved)

Iter	Nodes	Cost
0	7	12
1	11	12
2	17	12
3	25	12
4	35	12
5	53	12
6	90	12
7	124	12
8	168	12
9	204	12
10	230	12
11	232	12
0	1	1

Iter	Nodes	Cost
0	7	12
1	11	12
2	17	12
3	25	12
4	35	12
5	53	12
6	90	12
7	124	12
8	168	12
9	204	12
10	230	12
11	232	12

Iter	Nodes	Cost
0	7	12
1	11	12
2	17	12
3	25	12
4	35	12
5	53	12
6	90	12
7	124	12
8	168	12
9	204	12
10	230	12
11	232	12
0	1	1

Iter	Nodes	Cost
0	7	12
1	11	12
2	17	12
3	25	12
4	35	12
5	53	12
6	90	12
7	124	12
8	168	12
9	204	12
10	230	12
11	232	12

Details

analyze4.0ms (0%)

sample10.2s (75.6%)

preprocess19.0ms (0.1%)

simplify11.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series5.0ms (0%)

rewrite48.0ms (0.4%)

simplify60.0ms (0.4%)

eval29.0ms (0.2%)

prune15.0ms (0.1%)

localize2.0ms (0%)

series2.0ms (0%)

rewrite34.0ms (0.3%)

simplify35.0ms (0.3%)

localize10.0ms (0.1%)

series3.0ms (0%)

rewrite51.0ms (0.4%)

simplify51.0ms (0.4%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite39.0ms (0.3%)

simplify48.0ms (0.4%)

eval56.0ms (0.4%)

prune26.0ms (0.2%)

localize8.0ms (0.1%)

series7.0ms (0.1%)

rewrite40.0ms (0.3%)

simplify37.0ms (0.3%)

localize8.0ms (0.1%)

series4.0ms (0%)

rewrite39.0ms (0.3%)

simplify48.0ms (0.4%)

localize7.0ms (0.1%)

series5.0ms (0%)

rewrite37.0ms (0.3%)

simplify45.0ms (0.3%)

localize26.0ms (0.2%)

series5.0ms (0%)

rewrite73.0ms (0.5%)

simplify71.0ms (0.5%)

localize39.0ms (0.3%)

series3.0ms (0%)

rewrite71.0ms (0.5%)

simplify76.0ms (0.6%)

eval321.0ms (2.4%)

prune164.0ms (1.2%)

localize54.0ms (0.4%)

series11.0ms (0.1%)

rewrite72.0ms (0.5%)

simplify53.0ms (0.4%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite38.0ms (0.3%)

simplify39.0ms (0.3%)

localize17.0ms (0.1%)

series3.0ms (0%)

rewrite77.0ms (0.6%)

simplify47.0ms (0.3%)

localize9.0ms (0.1%)

series11.0ms (0.1%)

rewrite50.0ms (0.4%)

simplify39.0ms (0.3%)

localize19.0ms (0.1%)

series59.0ms (0.4%)

rewrite44.0ms (0.3%)

simplify37.0ms (0.3%)

eval299.0ms (2.2%)

prune149.0ms (1.1%)

regimes34.0ms (0.3%)

regimes29.0ms (0.2%)

regimes65.0ms (0.5%)

regimes28.0ms (0.2%)

regimes8.0ms (0.1%)

simplify7.0ms (0.1%)

soundness177.0ms (1.3%)

end103.0ms (0.8%)

Profiling

Iter	Nodes	Cost
0	7	12
1	11	12
2	17	12
3	25	12
4	35	12
5	53	12
6	90	12
7	124	12
8	168	12
9	204	12
10	230	12
11	232	12
0	1	1

Iter	Nodes	Cost
0	7	12
1	11	12
2	17	12
3	25	12
4	35	12
5	53	12
6	90	12
7	124	12
8	168	12
9	204	12
10	230	12
11	232	12