Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
85.7%	75%	12.5%	0%	12.5%	0%	0%	5
92.3%	75%	6.2%	0%	18.7%	0%	0%	6
96%	75%	3.1%	0%	21.9%	0%	0%	7
98%	75%	1.6%	0%	23.4%	0%	0%	8
99%	75%	0.8%	0%	24.2%	0%	0%	9
99.5%	75%	0.4%	0%	24.6%	0%	0%	10
99.7%	75%	0.2%	0%	24.8%	0%	0%	11
99.9%	75%	0.1%	0%	24.9%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample809.0ms (18.7%)

Results

798.0ms	8256×	body	256	valid
0.0ms	4×	body	256	infinite

Bogosity

preprocess14.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

4×	`fma-def`
4×	`sub-neg`
4×	`+-commutative`
2×	`associate-/l*`
2×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	18	15
2	24	15
3	27	15
4	29	15
5	30	15
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)

Outputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (fma.f64 x x -3) 6)

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify17.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def`
4×	`sub-neg`
4×	`+-commutative`
2×	`associate-/l*`
2×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	18	15
2	24	15
3	27	15
4	29	15
5	30	15

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)

Outputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (fma.f64 x x -3) 6)

eval0.0ms (0%)

Compiler: Compiled 14 to 10 computations (28.6% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.f64 (fma.f64 x x -3) 6)
▶	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x x) 3)
✓	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 (-.f64 (*.f64 x x) 3) 6)
0.0ms	x	@	0	(/.f64 (-.f64 (*.f64 x x) 3) 6)
0.0ms	x	@	-inf	(/.f64 (-.f64 (*.f64 x x) 3) 6)
0.0ms	x	@	inf	(-.f64 (*.f64 x x) 3)
0.0ms	x	@	0	(-.f64 (*.f64 x x) 3)

rewrite73.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1856×	`add-sqr-sqrt`
1806×	`*-un-lft-identity`
1718×	`add-cube-cbrt`
1708×	`add-cbrt-cube`
178×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	187	24
2	2309	24

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 (*.f64 x x) 3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) 1/6) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 x x) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x x -3) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 x x -3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (fma.f64 x x -3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)) (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/6 (fma.f64 x x -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 x x -3)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x x -3) -6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x x -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x x -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x x -3)) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (cbrt.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1 (fma.f64 x x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 6) -27) (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (.f64 x 3)))) (+.f64 (pow.f64 x 6) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (.f64 x x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 (pow.f64 x 4) (-.f64 9 (.f64 (.f64 x x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 4) -9)) (neg.f64 (fma.f64 x x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 6) -27)) (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x x -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) -3)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1/6) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 x x) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 x x -3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -3)) (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (*.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (fma.f64 x x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x x -3)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x x -3) -6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))))))

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

simplify69.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1116×	`associate-*r/`
1080×	`associate-/l*`
834×	`unswap-sqr`
802×	`associate-*l/`
606×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	1399
1	289	1319
2	1279	1313
3	4572	1313

Stop Event

1×	node limit

Counts

83 → 75

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
-3
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(+.f64 (.f64 (.f64 x x) 1/6) -1/2)
(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)
(*.f64 (fma.f64 x x -3) 1/6)
(.f64 (.f64 (fma.f64 x x -3) 1/6) 1)
(.f64 1 (.f64 (fma.f64 x x -3) 1/6))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (neg.f64 (fma.f64 x x -3)) -1/6)
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3) 1/3)
(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
(neg.f64 (/.f64 (fma.f64 x x -3) -6))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x x -3)) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(+.f64 (*.f64 x x) -3)
(+.f64 -3 (*.f64 x x))
(*.f64 (fma.f64 x x -3) 1)
(*.f64 1 (fma.f64 x x -3))
(*.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x -3)))
(*.f64 (cbrt.f64 (fma.f64 x x -3)) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (cbrt.f64 (fma.f64 x x -3)))
(*.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1 (fma.f64 x x 3)))
(.f64 (+.f64 (pow.f64 x 6) -27) (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (*.f64 x 3))))))
(/.f64 1 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (.f64 x 3)))) (+.f64 (pow.f64 x 6) -27)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3))
(/.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 (pow.f64 x 4) (-.f64 9 (.f64 (.f64 x x) -3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -9)) (neg.f64 (fma.f64 x x 3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) -27)) (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (.f64 x 3))))))
(pow.f64 (fma.f64 x x -3) 1)
(pow.f64 (sqrt.f64 (fma.f64 x x -3)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x x -3)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -3) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x x -3) 2))
(log.f64 (exp.f64 (fma.f64 x x -3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -3))))
(cbrt.f64 (pow.f64 (fma.f64 x x -3) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x -3)))
(exp.f64 (log.f64 (fma.f64 x x -3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -3)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x x -3)))
(fma.f64 x x -3)
(fma.f64 1 (*.f64 x x) -3)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) -3)

Outputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
-3
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(+.f64 (.f64 (.f64 x x) 1/6) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (fma.f64 x x -3) 1/6)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (.f64 (fma.f64 x x -3) 1/6) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 1 (.f64 (fma.f64 x x -3) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) -1/2)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) -1/2)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -2)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 (neg.f64 (fma.f64 x x -3)) -1/6)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3) 1/3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(neg.f64 (/.f64 (fma.f64 x x -3) -6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))
(fabs.f64 (*.f64 1/6 (fma.f64 x x -3)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x x -3)) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(+.f64 (*.f64 x x) -3)
(fma.f64 x x -3)
(+.f64 -3 (*.f64 x x))
(fma.f64 x x -3)
(*.f64 (fma.f64 x x -3) 1)
(fma.f64 x x -3)
(*.f64 1 (fma.f64 x x -3))
(fma.f64 x x -3)
(*.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x -3)))
(fma.f64 x x -3)
(*.f64 (cbrt.f64 (fma.f64 x x -3)) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))
(fma.f64 x x -3)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (cbrt.f64 (fma.f64 x x -3)))
(fma.f64 x x -3)
(*.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1 (fma.f64 x x 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 4) -9) 1) (fma.f64 x x 3))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(.f64 (+.f64 (pow.f64 x 6) -27) (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (*.f64 x 3))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 6) -27) 1) (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (*.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 3) 9)))
(/.f64 1 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 4) -9) 1) (fma.f64 x x 3))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (.f64 x 3)))) (+.f64 (pow.f64 x 6) -27)))
(/.f64 (.f64 (+.f64 (pow.f64 x 6) -27) 1) (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (*.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 3) 9)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(/.f64 (*.f64 (+.f64 (pow.f64 x 4) -9) 1) (fma.f64 x x 3))
(/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3))
(/.f64 (*.f64 (+.f64 (pow.f64 x 4) -9) 1) (fma.f64 x x 3))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(/.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (.f64 x 3)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 6) -27) 1) (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (*.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 3) 9)))
(/.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 (pow.f64 x 4) (-.f64 9 (.f64 (.f64 x x) -3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 6) -27) 1) (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (*.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 3) 9)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -9)) (neg.f64 (fma.f64 x x 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 4) -9) 1) (fma.f64 x x 3))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) -27)) (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (.f64 x 3))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 6) -27) 1) (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (*.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 3) 9)))
(pow.f64 (fma.f64 x x -3) 1)
(fma.f64 x x -3)
(pow.f64 (sqrt.f64 (fma.f64 x x -3)) 2)
(fma.f64 x x -3)
(pow.f64 (cbrt.f64 (fma.f64 x x -3)) 3)
(fma.f64 x x -3)
(pow.f64 (pow.f64 (fma.f64 x x -3) 3) 1/3)
(fma.f64 x x -3)
(sqrt.f64 (pow.f64 (fma.f64 x x -3) 2))
(fma.f64 x x -3)
(log.f64 (exp.f64 (fma.f64 x x -3)))
(fma.f64 x x -3)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -3))))
(fma.f64 x x -3)
(cbrt.f64 (pow.f64 (fma.f64 x x -3) 3))
(fma.f64 x x -3)
(expm1.f64 (log1p.f64 (fma.f64 x x -3)))
(fma.f64 x x -3)
(exp.f64 (log.f64 (fma.f64 x x -3)))
(fma.f64 x x -3)
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -3)) 1))
(fma.f64 x x -3)
(log1p.f64 (expm1.f64 (fma.f64 x x -3)))
(fma.f64 x x -3)
(fma.f64 x x -3)
(fma.f64 1 (*.f64 x x) -3)
(fma.f64 x x -3)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) -3)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (fma.f64 x x -3) 6)

Compiler

Compiled 14 to 9 computations (35.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (fma.f64 x x -3) 6)
0.0ms	x	@	0	(/.f64 (fma.f64 x x -3) 6)
0.0ms	x	@	inf	(/.f64 (fma.f64 x x -3) 6)

rewrite52.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1550×	`add-sqr-sqrt`
1510×	`*-un-lft-identity`
1426×	`add-cube-cbrt`
1414×	`add-cbrt-cube`
1398×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	168	15
2	1898	15

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(/.f64 (fma.f64 x x -3) 6)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (fma.f64 x x -3) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 x x -3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (fma.f64 x x -3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)) (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/6 (fma.f64 x x -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 x x -3)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x x -3) -6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 x x -3) 1/6)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (fma.f64 x x -3) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 x x -3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -3)) (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (*.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (fma.f64 x x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x x -3)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x x -3) -6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))))))

simplify45.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1358×	`associate-r`
1070×	`associate-l`
836×	`associate-+r+`
774×	`associate-+l+`
446×	`distribute-lft-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	522
1	147	522
2	565	522
3	3786	522

Stop Event

1×	node limit

Counts

36 → 29

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 1 (*.f64 (fma.f64 x x -3) 1/6)) 1)
(*.f64 (fma.f64 x x -3) 1/6)
(.f64 (.f64 (fma.f64 x x -3) 1/6) 1)
(.f64 1 (.f64 (fma.f64 x x -3) 1/6))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (neg.f64 (fma.f64 x x -3)) -1/6)
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3) 1/3)
(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
(neg.f64 (/.f64 (fma.f64 x x -3) -6))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x x -3)) 1/6))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))

Outputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (+.f64 1 (*.f64 (fma.f64 x x -3) 1/6)) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (fma.f64 x x -3) 1/6)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (.f64 (fma.f64 x x -3) 1/6) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 1 (.f64 (fma.f64 x x -3) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 (neg.f64 (fma.f64 x x -3)) -1/6)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3) 1/3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(neg.f64 (/.f64 (fma.f64 x x -3) -6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x x -3)) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))

eval27.0ms (0.6%)

Compiler: Compiled 1043 to 781 computations (25.1% saved)

prune17.0ms (0.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	95	9	104
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	95	11	106

Error

Counts

106 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	0.1b	(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
	1.1b	(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
✓	0.1b	(/.f64 (fma.f64 x x -3) 6)
▶	8.8b	(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3)) 6)
▶	8.8b	(/.f64 (/.f64 1 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))) 6)
✓	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
	46.2b	(/.f64 (*.f64 x x) 6)
▶	0.1b	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
▶	46.6b	(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
▶	46.2b	(.f64 1/6 (.f64 x x))
	18.0b	-1/2

Compiler

Compiled 181 to 137 computations (24.3% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
✓	0.2b	(.f64 (.f64 x x) 1/6)

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (.f64 x x) 1/6)
0.0ms	x	@	inf	(.f64 (.f64 x x) 1/6)
0.0ms	x	@	inf	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
0.0ms	x	@	0	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
0.0ms	x	@	-inf	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)

rewrite57.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1722×	`add-sqr-sqrt`
1686×	`*-un-lft-identity`
1590×	`add-cube-cbrt`
1580×	`add-cbrt-cube`
170×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	178	28
2	2159	28

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(.f64 (.f64 x x) 1/6)
(-.f64 (.f64 (.f64 x x) 1/6) 1/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/216 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/216 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/6))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 1/6)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (*.f64 x (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x 1/6) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) (sqrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/36 (pow.f64 x 4)) -1/4) (/.f64 1 (fma.f64 x (*.f64 x 1/6) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/216 (pow.f64 (*.f64 x x) 3)) -1/8) (/.f64 1 (+.f64 (*.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (*.f64 (*.f64 x x) 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (*.f64 x 1/6) 1/2) (+.f64 (*.f64 1/36 (pow.f64 x 4)) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (*.f64 (*.f64 x x) 1/12))) (+.f64 (*.f64 1/216 (pow.f64 (*.f64 x x) 3)) -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/36 (pow.f64 x 4)) -1/4) (fma.f64 x (*.f64 x 1/6) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/36 (pow.f64 x 4)) -1/4) (-.f64 (*.f64 x (*.f64 x 1/6)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/216 (pow.f64 (*.f64 x x) 3)) -1/8) (+.f64 (*.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (*.f64 (*.f64 x x) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/216 (pow.f64 (*.f64 x x) 3)) -1/8) (+.f64 (*.f64 1/36 (pow.f64 x 4)) (-.f64 1/4 (*.f64 (*.f64 x (*.f64 x 1/6)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 1/36 (pow.f64 x 4)) -1/4)) (neg.f64 (fma.f64 x (*.f64 x 1/6) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 1/216 (pow.f64 (*.f64 x x) 3)) -1/8)) (neg.f64 (+.f64 (*.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (*.f64 (*.f64 x x) 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 1/6) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 1/6) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/6 -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (*.f64 x x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 1/6)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x 1/6))) -1/2)))))

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1438×	`associate-/l*`
1266×	`associate-r`
1026×	`associate-l`
884×	`associate-+r+`
740×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	118	1442
1	255	1320
2	957	1320
3	4526	1320

Stop Event

1×	node limit

Counts

72 → 61

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/6)))) 1)
(pow.f64 (.f64 x (.f64 x 1/6)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) 3)
(pow.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) 1/3)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/6)))))
(cbrt.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/6))))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/6))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 1/6))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/6))))
(+.f64 (.f64 x (.f64 x 1/6)) -1/2)
(+.f64 -1/2 (.f64 x (.f64 x 1/6)))
(.f64 (fma.f64 x (.f64 x 1/6) -1/2) 1)
(.f64 1 (fma.f64 x (.f64 x 1/6) -1/2))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) (sqrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) -1/4) (/.f64 1 (fma.f64 x (*.f64 x 1/6) 1/2)))
(.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8) (/.f64 1 (+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 (.f64 x x) 1/12)))))
(/.f64 1 (/.f64 (fma.f64 x (.f64 x 1/6) 1/2) (+.f64 (.f64 1/36 (pow.f64 x 4)) -1/4)))
(/.f64 1 (/.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 (.f64 x x) 1/12))) (+.f64 (.f64 1/216 (pow.f64 (*.f64 x x) 3)) -1/8)))
(/.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) -1/4) (fma.f64 x (.f64 x 1/6) 1/2))
(/.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) -1/4) (-.f64 (.f64 x (*.f64 x 1/6)) -1/2))
(/.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8) (+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 (*.f64 x x) 1/12))))
(/.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8) (+.f64 (.f64 1/36 (pow.f64 x 4)) (-.f64 1/4 (.f64 (.f64 x (.f64 x 1/6)) -1/2))))
(/.f64 (neg.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) -1/4)) (neg.f64 (fma.f64 x (.f64 x 1/6) 1/2)))
(/.f64 (neg.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8)) (neg.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 (*.f64 x x) 1/12)))))
(pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 1/6) -1/2))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x 1/6) -1/2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(fma.f64 x (*.f64 x 1/6) -1/2)
(fma.f64 (*.f64 x x) 1/6 -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 1 (.f64 x (.f64 x 1/6)) -1/2)
(fma.f64 (.f64 x (sqrt.f64 1/6)) (.f64 x (sqrt.f64 1/6)) -1/2)
(fma.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x 1/6))) -1/2)

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/6)))) 1)
(.f64 1/6 (.f64 x x))
(pow.f64 (.f64 x (.f64 x 1/6)) 1)
(.f64 1/6 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(.f64 1/6 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) 3)
(.f64 1/6 (.f64 x x))
(pow.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) 1/3)
(cbrt.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)))
(cbrt.f64 (*.f64 1/216 (pow.f64 x 6)))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(.f64 1/6 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/6)))))
(.f64 1/6 (.f64 x x))
(cbrt.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)))
(cbrt.f64 (*.f64 1/216 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/6))))
(.f64 1/6 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/6))))
(.f64 1/6 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 1/6))) 1))
(.f64 1/6 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/6))))
(.f64 1/6 (.f64 x x))
(+.f64 (.f64 x (.f64 x 1/6)) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(+.f64 -1/2 (.f64 x (.f64 x 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (fma.f64 x (.f64 x 1/6) -1/2) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 1 (fma.f64 x (.f64 x 1/6) -1/2))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (sqrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) (sqrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) 2))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) -1/4) (/.f64 1 (fma.f64 x (*.f64 x 1/6) 1/2)))
(.f64 (fma.f64 1/36 (pow.f64 x 4) -1/4) (/.f64 1 (fma.f64 x (.f64 1/6 x) 1/2)))
(/.f64 (fma.f64 1/36 (pow.f64 x 4) -1/4) (fma.f64 1/6 (*.f64 x x) 1/2))
(/.f64 (fma.f64 (pow.f64 x 4) -1/36 1/4) (fma.f64 x (*.f64 x -1/6) -1/2))
(.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8) (/.f64 1 (+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 (.f64 x x) 1/12)))))
(/.f64 (.f64 (fma.f64 1/216 (pow.f64 (.f64 x x) 3) -1/8) 1) (fma.f64 1/36 (pow.f64 x 4) (+.f64 1/4 (.f64 x (.f64 x 1/12)))))
(/.f64 (fma.f64 1/216 (pow.f64 x 6) -1/8) (fma.f64 1/36 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/12) 1/4)))
(/.f64 (fma.f64 1/216 (pow.f64 x 6) -1/8) (fma.f64 x (*.f64 x 1/12) (fma.f64 1/36 (pow.f64 x 4) 1/4)))
(/.f64 1 (/.f64 (fma.f64 x (.f64 x 1/6) 1/2) (+.f64 (.f64 1/36 (pow.f64 x 4)) -1/4)))
(.f64 (fma.f64 1/36 (pow.f64 x 4) -1/4) (/.f64 1 (fma.f64 x (.f64 1/6 x) 1/2)))
(/.f64 (fma.f64 1/36 (pow.f64 x 4) -1/4) (fma.f64 1/6 (*.f64 x x) 1/2))
(/.f64 (fma.f64 (pow.f64 x 4) -1/36 1/4) (fma.f64 x (*.f64 x -1/6) -1/2))
(/.f64 1 (/.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 (.f64 x x) 1/12))) (+.f64 (.f64 1/216 (pow.f64 (*.f64 x x) 3)) -1/8)))
(/.f64 (.f64 (fma.f64 1/216 (pow.f64 (.f64 x x) 3) -1/8) 1) (fma.f64 1/36 (pow.f64 x 4) (+.f64 1/4 (.f64 x (.f64 x 1/12)))))
(/.f64 (fma.f64 1/216 (pow.f64 x 6) -1/8) (fma.f64 1/36 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/12) 1/4)))
(/.f64 (fma.f64 1/216 (pow.f64 x 6) -1/8) (fma.f64 x (*.f64 x 1/12) (fma.f64 1/36 (pow.f64 x 4) 1/4)))
(/.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) -1/4) (fma.f64 x (.f64 x 1/6) 1/2))
(.f64 (fma.f64 1/36 (pow.f64 x 4) -1/4) (/.f64 1 (fma.f64 x (.f64 1/6 x) 1/2)))
(/.f64 (fma.f64 1/36 (pow.f64 x 4) -1/4) (fma.f64 1/6 (*.f64 x x) 1/2))
(/.f64 (fma.f64 (pow.f64 x 4) -1/36 1/4) (fma.f64 x (*.f64 x -1/6) -1/2))
(/.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) -1/4) (-.f64 (.f64 x (*.f64 x 1/6)) -1/2))
(.f64 (fma.f64 1/36 (pow.f64 x 4) -1/4) (/.f64 1 (fma.f64 x (.f64 1/6 x) 1/2)))
(/.f64 (fma.f64 1/36 (pow.f64 x 4) -1/4) (fma.f64 1/6 (*.f64 x x) 1/2))
(/.f64 (fma.f64 (pow.f64 x 4) -1/36 1/4) (fma.f64 x (*.f64 x -1/6) -1/2))
(/.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8) (+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 (*.f64 x x) 1/12))))
(/.f64 (.f64 (fma.f64 1/216 (pow.f64 (.f64 x x) 3) -1/8) 1) (fma.f64 1/36 (pow.f64 x 4) (+.f64 1/4 (.f64 x (.f64 x 1/12)))))
(/.f64 (fma.f64 1/216 (pow.f64 x 6) -1/8) (fma.f64 1/36 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/12) 1/4)))
(/.f64 (fma.f64 1/216 (pow.f64 x 6) -1/8) (fma.f64 x (*.f64 x 1/12) (fma.f64 1/36 (pow.f64 x 4) 1/4)))
(/.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8) (+.f64 (.f64 1/36 (pow.f64 x 4)) (-.f64 1/4 (.f64 (.f64 x (.f64 x 1/6)) -1/2))))
(/.f64 (.f64 (fma.f64 1/216 (pow.f64 (.f64 x x) 3) -1/8) 1) (fma.f64 1/36 (pow.f64 x 4) (+.f64 1/4 (.f64 x (.f64 x 1/12)))))
(/.f64 (fma.f64 1/216 (pow.f64 x 6) -1/8) (fma.f64 1/36 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/12) 1/4)))
(/.f64 (fma.f64 1/216 (pow.f64 x 6) -1/8) (fma.f64 x (*.f64 x 1/12) (fma.f64 1/36 (pow.f64 x 4) 1/4)))
(/.f64 (neg.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) -1/4)) (neg.f64 (fma.f64 x (.f64 x 1/6) 1/2)))
(.f64 (fma.f64 1/36 (pow.f64 x 4) -1/4) (/.f64 1 (fma.f64 x (.f64 1/6 x) 1/2)))
(/.f64 (fma.f64 1/36 (pow.f64 x 4) -1/4) (fma.f64 1/6 (*.f64 x x) 1/2))
(/.f64 (fma.f64 (pow.f64 x 4) -1/36 1/4) (fma.f64 x (*.f64 x -1/6) -1/2))
(/.f64 (neg.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8)) (neg.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 (*.f64 x x) 1/12)))))
(/.f64 (.f64 (fma.f64 1/216 (pow.f64 (.f64 x x) 3) -1/8) 1) (fma.f64 1/36 (pow.f64 x 4) (+.f64 1/4 (.f64 x (.f64 x 1/12)))))
(/.f64 (fma.f64 1/216 (pow.f64 x 6) -1/8) (fma.f64 1/36 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/12) 1/4)))
(/.f64 (fma.f64 1/216 (pow.f64 x 6) -1/8) (fma.f64 x (*.f64 x 1/12) (fma.f64 1/36 (pow.f64 x 4) 1/4)))
(pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) 2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) 3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 3) 1/3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 2))
(fma.f64 1/6 (*.f64 x x) -1/2)
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 1/6) -1/2))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x 1/6) -1/2)) 1))
(fma.f64 1/6 (*.f64 x x) -1/2)
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 x 1/6) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 (*.f64 x x) 1/6 -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 1 (.f64 x (.f64 x 1/6)) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 (.f64 x (sqrt.f64 1/6)) (.f64 x (sqrt.f64 1/6)) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x 1/6))) -1/2)
(fma.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (.f64 1/6 (*.f64 x x))) -1/2)
(fma.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) -1/2)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 1/6 (.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 1/6 (.f64 x x))
0.0ms	x	@	inf	(.f64 1/6 (.f64 x x))
0.0ms	x	@	-inf	(.f64 1/6 (.f64 x x))

rewrite47.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`add-sqr-sqrt`
1058×	`*-un-lft-identity`
1006×	`pow1`
988×	`add-cube-cbrt`
980×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1409	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 1/6 (.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))))

simplify40.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1470×	`distribute-rgt-in`
1446×	`distribute-lft-in`
1164×	`log-prod`
746×	`associate-r`
702×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	92	299
2	347	299
3	1900	299

Stop Event

1×	node limit

Counts

23 → 14

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (+.f64 1 (.f64 1/6 (.f64 x x))) 1)
(pow.f64 (.f64 1/6 (.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 3)
(pow.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(cbrt.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 x x))))
(exp.f64 (log.f64 (.f64 1/6 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 x x))))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(-.f64 (+.f64 1 (.f64 1/6 (.f64 x x))) 1)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(pow.f64 (.f64 1/6 (.f64 x x)) 1)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 3)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(pow.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 3) 1/3)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(cbrt.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 3))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 x x))))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(exp.f64 (log.f64 (.f64 1/6 (.f64 x x))))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 x x))))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))

localize17.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3)) 6)
✓	8.2b	(/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3))

Compiler

Compiled 46 to 30 computations (34.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3))
0.0ms	x	@	0	(/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3))
0.0ms	x	@	-inf	(/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3))
0.0ms	x	@	inf	(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3)) 6)
0.0ms	x	@	-inf	(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3)) 6)

rewrite79.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1850×	`associate-/r*`
1458×	`associate-/l*`
1200×	`associate-/r/`
298×	`add-sqr-sqrt`
286×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	309	24
2	3969	24

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

Inputs
(/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3)) 6)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x x -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -3 (exp.f64 (log1p.f64 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1 (fma.f64 x x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 1 (fma.f64 x x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -3)) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (cbrt.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 1 (fma.f64 x x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x 3)) (+.f64 (pow.f64 x 4) -9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1 (fma.f64 x x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 3))) (/.f64 (+.f64 (pow.f64 x 4) -9) (sqrt.f64 (fma.f64 x x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2))) (/.f64 (+.f64 (pow.f64 x 4) -9) (cbrt.f64 (fma.f64 x x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 6) 27)) (*.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (+.f64 (pow.f64 x 4) 9) (*.f64 x (*.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (pow.f64 x 6) 27)) (+.f64 (+.f64 (pow.f64 x 4) 9) (*.f64 x (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (pow.f64 x 6) 27)) (-.f64 (+.f64 (pow.f64 x 4) 9) (*.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 x x 3)) (-.f64 9 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 4) -9)) (*.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) 1) (/.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (cbrt.f64 (fma.f64 x x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (sqrt.f64 (fma.f64 x x 3))) (/.f64 (cbrt.f64 (fma.f64 x x -3)) (cbrt.f64 (sqrt.f64 (fma.f64 x x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2))) (cbrt.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 9 (pow.f64 x 4)) (-.f64 9 (pow.f64 x 4))) (fma.f64 x x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 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simplify82.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1384×	`unswap-sqr`
1382×	`associate-/r*`
718×	`associate-/l/`
528×	`associate-r`
524×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	322	4473
1	921	4209
2	4166	4197

Stop Event

1×	node limit

Counts

147 → 200

Calls

Call 1

Inputs
-3
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(+.f64 (*.f64 x x) -3)
(+.f64 -3 (*.f64 x x))
(-.f64 (*.f64 x x) 3)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x -3))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x x))) 4)
(-.f64 (+.f64 -3 (exp.f64 (log1p.f64 (*.f64 x x)))) 1)
(*.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1 (fma.f64 x x 3)))
(*.f64 (fma.f64 x x -3) 1)
(*.f64 1 (fma.f64 x x -3))
(*.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x -3)))
(.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 1 (fma.f64 x x 3))))
(*.f64 (cbrt.f64 (fma.f64 x x -3)) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (cbrt.f64 (fma.f64 x x -3)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 1 (fma.f64 x x 3))))
(*.f64 (/.f64 1 (fma.f64 x x 3)) (+.f64 (pow.f64 x 4) -9))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1 (fma.f64 x x 3)))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 3))) (/.f64 (+.f64 (pow.f64 x 4) -9) (sqrt.f64 (fma.f64 x x 3))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2))) (/.f64 (+.f64 (pow.f64 x 4) -9) (cbrt.f64 (fma.f64 x x 3))))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 6) 27)) (.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 x -3)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x -3))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (pow.f64 x 6) 27)) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (*.f64 x -3))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (pow.f64 x 6) 27)) (-.f64 (+.f64 (pow.f64 x 4) 9) (.f64 (*.f64 x x) 3)))
(*.f64 (/.f64 -1 (fma.f64 x x 3)) (-.f64 9 (pow.f64 x 4)))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 4) -9)) (.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x -3)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) 1) (/.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x 3))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (cbrt.f64 (fma.f64 x x 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (sqrt.f64 (fma.f64 x x 3))) (/.f64 (cbrt.f64 (fma.f64 x x -3)) (cbrt.f64 (sqrt.f64 (fma.f64 x x 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2))) (cbrt.f64 (fma.f64 x x -3)))
(*.f64 (/.f64 (-.f64 9 (pow.f64 x 4)) (-.f64 9 (pow.f64 x 4))) (fma.f64 x x -3))
(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 9 (pow.f64 x 4))) (neg.f64 (fma.f64 x x -3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (fma.f64 x x 3)) (cbrt.f64 (+.f64 (pow.f64 x 4) -9)))
(.f64 (/.f64 (-.f64 9 (pow.f64 x 4)) (neg.f64 (+.f64 (pow.f64 x 6) 27))) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (*.f64 x -3))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (neg.f64 (+.f64 (pow.f64 x 6) 27))) (neg.f64 (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (*.f64 x -3)))))
(*.f64 (/.f64 1 (/.f64 (fma.f64 x x 3) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2))) (cbrt.f64 (+.f64 (pow.f64 x 4) -9)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 8) -81) (/.f64 1 (fma.f64 x x 3))) (+.f64 (pow.f64 x 8) -81)) (+.f64 (pow.f64 x 4) -9))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 8) -81) (/.f64 1 (fma.f64 x x 3))) (-.f64 (pow.f64 x 12) -729)) (+.f64 (+.f64 (pow.f64 x 8) 81) (*.f64 (pow.f64 x 4) -9)))
(.f64 (/.f64 (.f64 (+.f64 -729 (pow.f64 x 12)) (/.f64 1 (fma.f64 x x 3))) (-.f64 (.f64 (pow.f64 x 8) (pow.f64 x 8)) (.f64 (-.f64 81 (.f64 (pow.f64 x 4) -9)) (-.f64 81 (.f64 (pow.f64 x 4) -9))))) (+.f64 (+.f64 (pow.f64 x 8) -81) (*.f64 (pow.f64 x 4) -9)))
(.f64 (/.f64 (.f64 (+.f64 -729 (pow.f64 x 12)) (/.f64 1 (fma.f64 x x 3))) (+.f64 (pow.f64 (pow.f64 x 8) 3) (pow.f64 (-.f64 81 (.f64 (pow.f64 x 4) -9)) 3))) (-.f64 (+.f64 (.f64 (pow.f64 x 8) (pow.f64 x 8)) (.f64 (-.f64 81 (.f64 (pow.f64 x 4) -9)) (-.f64 81 (.f64 (pow.f64 x 4) -9)))) (.f64 (pow.f64 x 8) (-.f64 81 (*.f64 (pow.f64 x 4) -9)))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (sqrt.f64 (fma.f64 x x 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) -9))) (sqrt.f64 (fma.f64 x x -3)))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (sqrt.f64 (fma.f64 x x 3))) (sqrt.f64 (+.f64 (pow.f64 x 6) 27))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (*.f64 x -3)))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2))) (cbrt.f64 (+.f64 (pow.f64 x 4) -9))) (cbrt.f64 (fma.f64 x x -3)))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2))) (cbrt.f64 (+.f64 (pow.f64 x 6) 27))) (cbrt.f64 (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (*.f64 x -3)))))
(pow.f64 (fma.f64 x x -3) 1)
(pow.f64 (sqrt.f64 (fma.f64 x x -3)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x x -3)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -3) 3) 1/3)
(pow.f64 (/.f64 1 (fma.f64 x x -3)) -1)
(neg.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 -3 (*.f64 x x))))
(sqrt.f64 (pow.f64 (fma.f64 x x -3) 2))
(log.f64 (exp.f64 (fma.f64 x x -3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -3))))
(cbrt.f64 (pow.f64 (fma.f64 x x -3) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x 4) -9) 3) (pow.f64 (fma.f64 x x 3) 3)))
(expm1.f64 (log1p.f64 (fma.f64 x x -3)))
(exp.f64 (log.f64 (fma.f64 x x -3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -3)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x x -3)))
(fma.f64 x x -3)
(fma.f64 1 (*.f64 x x) -3)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) -3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)
(.f64 (+.f64 (pow.f64 x 4) -9) (.f64 (/.f64 1 (fma.f64 x x 3)) 1/6))
(*.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1/6 (fma.f64 x x 3)))
(*.f64 (fma.f64 x x -3) 1/6)
(.f64 (.f64 (fma.f64 x x -3) 1/6) 1)
(.f64 1 (.f64 (fma.f64 x x -3) 1/6))
(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (neg.f64 (fma.f64 x x -3)) -1/6)
(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (/.f64 1 (fma.f64 x x 3)))
(*.f64 (/.f64 1/6 (fma.f64 x x 3)) (+.f64 (pow.f64 x 4) -9))
(*.f64 -1/6 (neg.f64 (fma.f64 x x -3)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) 6) (/.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) 6) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) 1/6) (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x -3))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) 1/6) 1) (/.f64 1 (fma.f64 x x 3)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) 1/6) (+.f64 (pow.f64 x 6) 27)) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 x -3))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) 1/6) (+.f64 (pow.f64 x 6) 27)) (-.f64 (+.f64 (pow.f64 x 4) 9) (.f64 (.f64 x x) 3)))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x -3))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) 1) (/.f64 1 (fma.f64 x x 3)))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (+.f64 (pow.f64 x 6) 27)) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (*.f64 x -3))))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (+.f64 (pow.f64 x 6) 27)) (-.f64 (+.f64 (pow.f64 x 4) 9) (.f64 (*.f64 x x) 3)))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (.f64 (fma.f64 x x 3) 6)) (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (.f64 6 (+.f64 (pow.f64 x 4) -9))) (fma.f64 x x -3))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (.f64 6 (+.f64 (pow.f64 x 6) 27))) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 x -3))))
(*.f64 (/.f64 1 (/.f64 6 (sqrt.f64 (fma.f64 x x -3)))) (sqrt.f64 (fma.f64 x x -3)))
(*.f64 (/.f64 1 (/.f64 6 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))) (cbrt.f64 (fma.f64 x x -3)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -3)) 6) (sqrt.f64 (fma.f64 x x -3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) 6) (cbrt.f64 (fma.f64 x x -3)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (.f64 (fma.f64 x x 3) 6)) (cbrt.f64 (+.f64 (pow.f64 x 4) -9)))
(.f64 (/.f64 1/6 (+.f64 (pow.f64 x 4) -9)) (.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x -3)))
(*.f64 (/.f64 1/6 (sqrt.f64 (fma.f64 x x 3))) (/.f64 (+.f64 (pow.f64 x 4) -9) (sqrt.f64 (fma.f64 x x 3))))
(*.f64 (/.f64 1/6 (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2))) (/.f64 (+.f64 (pow.f64 x 4) -9) (cbrt.f64 (fma.f64 x x 3))))
(.f64 (/.f64 1/6 (+.f64 (pow.f64 x 6) 27)) (.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 x -3)))))
(.f64 (/.f64 1/6 (-.f64 -3 (.f64 x x))) (-.f64 9 (pow.f64 x 4)))
(*.f64 (/.f64 1/6 (/.f64 (sqrt.f64 (fma.f64 x x 3)) (sqrt.f64 (fma.f64 x x -3)))) (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))
(*.f64 (/.f64 1/6 (/.f64 (fma.f64 x x 3) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2))) (cbrt.f64 (+.f64 (pow.f64 x 4) -9)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) 1/6) (-.f64 9 (pow.f64 x 4))) (neg.f64 (fma.f64 x x -3)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) 1/6) (neg.f64 (+.f64 (pow.f64 x 6) 27))) (neg.f64 (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 x -3)))))
(.f64 (/.f64 (.f64 (-.f64 9 (pow.f64 x 4)) 1/6) (-.f64 9 (pow.f64 x 4))) (fma.f64 x x -3))
(.f64 (/.f64 (.f64 (-.f64 9 (pow.f64 x 4)) 1/6) (neg.f64 (+.f64 (pow.f64 x 6) 27))) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 x -3))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (-.f64 9 (pow.f64 x 4))) (neg.f64 (fma.f64 x x -3)))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (neg.f64 (+.f64 (pow.f64 x 6) 27))) (neg.f64 (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (*.f64 x -3)))))
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3) 1/3)
(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
(neg.f64 (/.f64 (fma.f64 x x -3) -6))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))
(log.f64 (exp.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))

Outputs
-3
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(+.f64 (*.f64 x x) -3)
(fma.f64 x x -3)
(+.f64 -3 (*.f64 x x))
(fma.f64 x x -3)
(-.f64 (*.f64 x x) 3)
(fma.f64 x x -3)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x -3))) 1)
(fma.f64 x x -3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x x))) 4)
(+.f64 (exp.f64 (log1p.f64 (*.f64 x x))) -4)
(+.f64 -3 (expm1.f64 (log1p.f64 (*.f64 x x))))
(-.f64 (+.f64 -3 (exp.f64 (log1p.f64 (*.f64 x x)))) 1)
(+.f64 (exp.f64 (log1p.f64 (*.f64 x x))) -4)
(+.f64 -3 (expm1.f64 (log1p.f64 (*.f64 x x))))
(*.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1 (fma.f64 x x 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 4) -9) 1) (fma.f64 x x 3))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(*.f64 (fma.f64 x x -3) 1)
(fma.f64 x x -3)
(*.f64 1 (fma.f64 x x -3))
(fma.f64 x x -3)
(*.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x -3)))
(fma.f64 x x -3)
(.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 1 (fma.f64 x x 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 4) -9) 1) (fma.f64 x x 3))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(*.f64 (cbrt.f64 (fma.f64 x x -3)) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))
(fma.f64 x x -3)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (cbrt.f64 (fma.f64 x x -3)))
(fma.f64 x x -3)
(.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 1 (fma.f64 x x 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 4) -9) 1) (fma.f64 x x 3))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(*.f64 (/.f64 1 (fma.f64 x x 3)) (+.f64 (pow.f64 x 4) -9))
(/.f64 (*.f64 (+.f64 (pow.f64 x 4) -9) 1) (fma.f64 x x 3))
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(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(*.f64 (fma.f64 x x -3) 1/6)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (.f64 (fma.f64 x x -3) 1/6) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 1 (.f64 (fma.f64 x x -3) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 2)))
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 (neg.f64 (fma.f64 x x -3)) -1/6)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (/.f64 1 (fma.f64 x x 3)))
(/.f64 (*.f64 1/6 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3))
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(*.f64 (/.f64 1/6 (fma.f64 x x 3)) (+.f64 (pow.f64 x 4) -9))
(/.f64 (*.f64 1/6 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3))
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(*.f64 -1/6 (neg.f64 (fma.f64 x x -3)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) 6) (/.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x 3))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x 3))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) 6))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) 6) (sqrt.f64 (fma.f64 x x 3))) (sqrt.f64 (fma.f64 x x -3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) 6) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3)))
(/.f64 (*.f64 1/6 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3))
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) 1/6) (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) 1/6) 1) (/.f64 1 (fma.f64 x x 3)))
(/.f64 (*.f64 1/6 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3))
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) 1/6) (+.f64 (pow.f64 x 6) 27)) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 x -3))))
(.f64 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 (.f64 x x) -3))) (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (.f64 (pow.f64 x 6) 6) 162)))
(.f64 (fma.f64 x (.f64 -3 x) (+.f64 (pow.f64 x 4) 9)) (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 6 (pow.f64 x 6) 162)))
(.f64 (+.f64 9 (.f64 (*.f64 x x) (fma.f64 x x -3))) (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 6 (pow.f64 x 6) 162)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) 1/6) (+.f64 (pow.f64 x 6) 27)) (-.f64 (+.f64 (pow.f64 x 4) 9) (.f64 (.f64 x x) 3)))
(.f64 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 (.f64 x x) -3))) (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (.f64 (pow.f64 x 6) 6) 162)))
(.f64 (fma.f64 x (.f64 -3 x) (+.f64 (pow.f64 x 4) 9)) (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 6 (pow.f64 x 6) 162)))
(.f64 (+.f64 9 (.f64 (*.f64 x x) (fma.f64 x x -3))) (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 6 (pow.f64 x 6) 162)))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) 1) (/.f64 1 (fma.f64 x x 3)))
(/.f64 (*.f64 1/6 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3))
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (+.f64 (pow.f64 x 6) 27)) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (*.f64 x -3))))
(.f64 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 (.f64 x x) -3))) (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (.f64 (pow.f64 x 6) 6) 162)))
(.f64 (fma.f64 x (.f64 -3 x) (+.f64 (pow.f64 x 4) 9)) (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 6 (pow.f64 x 6) 162)))
(.f64 (+.f64 9 (.f64 (*.f64 x x) (fma.f64 x x -3))) (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 6 (pow.f64 x 6) 162)))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (+.f64 (pow.f64 x 6) 27)) (-.f64 (+.f64 (pow.f64 x 4) 9) (.f64 (*.f64 x x) 3)))
(.f64 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 (.f64 x x) -3))) (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (.f64 (pow.f64 x 6) 6) 162)))
(.f64 (fma.f64 x (.f64 -3 x) (+.f64 (pow.f64 x 4) 9)) (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 6 (pow.f64 x 6) 162)))
(.f64 (+.f64 9 (.f64 (*.f64 x x) (fma.f64 x x -3))) (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 6 (pow.f64 x 6) 162)))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (.f64 (fma.f64 x x 3) 6)) (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))
(/.f64 (*.f64 1/6 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3))
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (.f64 6 (+.f64 (pow.f64 x 4) -9))) (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (.f64 6 (+.f64 (pow.f64 x 6) 27))) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 x -3))))
(.f64 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 (.f64 x x) -3))) (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (.f64 (pow.f64 x 6) 6) 162)))
(.f64 (fma.f64 x (.f64 -3 x) (+.f64 (pow.f64 x 4) 9)) (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 6 (pow.f64 x 6) 162)))
(.f64 (+.f64 9 (.f64 (*.f64 x x) (fma.f64 x x -3))) (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 6 (pow.f64 x 6) 162)))
(*.f64 (/.f64 1 (/.f64 6 (sqrt.f64 (fma.f64 x x -3)))) (sqrt.f64 (fma.f64 x x -3)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (/.f64 1 (/.f64 6 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))) (cbrt.f64 (fma.f64 x x -3)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -3)) 6) (sqrt.f64 (fma.f64 x x -3)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) 6) (cbrt.f64 (fma.f64 x x -3)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (.f64 (fma.f64 x x 3) 6)) (cbrt.f64 (+.f64 (pow.f64 x 4) -9)))
(/.f64 (*.f64 1/6 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3))
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(.f64 (/.f64 1/6 (+.f64 (pow.f64 x 4) -9)) (.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x -3)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (/.f64 1/6 (sqrt.f64 (fma.f64 x x 3))) (/.f64 (+.f64 (pow.f64 x 4) -9) (sqrt.f64 (fma.f64 x x 3))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (sqrt.f64 (fma.f64 x x 3))) (/.f64 1/6 (sqrt.f64 (fma.f64 x x 3))))
(/.f64 1/6 (*.f64 (/.f64 (sqrt.f64 (fma.f64 x x 3)) (+.f64 (pow.f64 x 4) -9)) (sqrt.f64 (fma.f64 x x 3))))
(*.f64 (/.f64 1/6 (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2))) (/.f64 (+.f64 (pow.f64 x 4) -9) (cbrt.f64 (fma.f64 x x 3))))
(/.f64 (*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (cbrt.f64 (fma.f64 x x 3)))) (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (cbrt.f64 (fma.f64 x x 3))) (/.f64 1/6 (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2))))
(/.f64 (+.f64 -3/2 (.f64 (pow.f64 x 4) 1/6)) (.f64 (cbrt.f64 (fma.f64 x x 3)) (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2))))
(.f64 (/.f64 1/6 (+.f64 (pow.f64 x 6) 27)) (.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 x -3)))))
(.f64 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 (.f64 x x) -3))) (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (.f64 (pow.f64 x 6) 6) 162)))
(.f64 (fma.f64 x (.f64 -3 x) (+.f64 (pow.f64 x 4) 9)) (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 6 (pow.f64 x 6) 162)))
(.f64 (+.f64 9 (.f64 (*.f64 x x) (fma.f64 x x -3))) (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 6 (pow.f64 x 6) 162)))
(.f64 (/.f64 1/6 (-.f64 -3 (.f64 x x))) (-.f64 9 (pow.f64 x 4)))
(.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 1/6 (-.f64 -3 (.f64 x x))))
(*.f64 (/.f64 1/6 (/.f64 (sqrt.f64 (fma.f64 x x 3)) (sqrt.f64 (fma.f64 x x -3)))) (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))
(/.f64 (*.f64 1/6 (sqrt.f64 (+.f64 (pow.f64 x 4) -9))) (/.f64 (sqrt.f64 (fma.f64 x x 3)) (sqrt.f64 (fma.f64 x x -3))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 1/6 (/.f64 (sqrt.f64 (fma.f64 x x 3)) (sqrt.f64 (fma.f64 x x -3)))))
(*.f64 (/.f64 1/6 (/.f64 (fma.f64 x x 3) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2))) (cbrt.f64 (+.f64 (pow.f64 x 4) -9)))
(/.f64 (*.f64 1/6 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3))
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) 1/6) (-.f64 9 (pow.f64 x 4))) (neg.f64 (fma.f64 x x -3)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) 1/6) (neg.f64 (+.f64 (pow.f64 x 6) 27))) (neg.f64 (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 x -3)))))
(.f64 (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 (.f64 x x) -3)))) (/.f64 (+.f64 (pow.f64 x 4) -9) (.f64 (neg.f64 (+.f64 (pow.f64 x 6) 27)) 6)))
(.f64 (-.f64 (.f64 3 (.f64 x x)) (+.f64 (pow.f64 x 4) 9)) (.f64 -1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (pow.f64 x 6) 27))))
(.f64 (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x -3))) (.f64 (/.f64 (-.f64 9 (pow.f64 x 4)) (-.f64 -27 (pow.f64 x 6))) 1/6))
(.f64 (/.f64 (.f64 (-.f64 9 (pow.f64 x 4)) 1/6) (-.f64 9 (pow.f64 x 4))) (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (/.f64 (.f64 (-.f64 9 (pow.f64 x 4)) 1/6) (neg.f64 (+.f64 (pow.f64 x 6) 27))) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 x -3))))
(.f64 (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 (.f64 x x) -3)))) (/.f64 (+.f64 (pow.f64 x 4) -9) (.f64 (neg.f64 (+.f64 (pow.f64 x 6) 27)) 6)))
(.f64 (-.f64 (.f64 3 (.f64 x x)) (+.f64 (pow.f64 x 4) 9)) (.f64 -1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (pow.f64 x 6) 27))))
(.f64 (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x -3))) (.f64 (/.f64 (-.f64 9 (pow.f64 x 4)) (-.f64 -27 (pow.f64 x 6))) 1/6))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (-.f64 9 (pow.f64 x 4))) (neg.f64 (fma.f64 x x -3)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (neg.f64 (+.f64 (pow.f64 x 6) 27))) (neg.f64 (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (*.f64 x -3)))))
(.f64 (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 (.f64 x x) -3)))) (/.f64 (+.f64 (pow.f64 x 4) -9) (.f64 (neg.f64 (+.f64 (pow.f64 x 6) 27)) 6)))
(.f64 (-.f64 (.f64 3 (.f64 x x)) (+.f64 (pow.f64 x 4) 9)) (.f64 -1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (pow.f64 x 6) 27))))
(.f64 (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x -3))) (.f64 (/.f64 (-.f64 9 (pow.f64 x 4)) (-.f64 -27 (pow.f64 x 6))) 1/6))
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3) 1/3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(neg.f64 (/.f64 (fma.f64 x x -3) -6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))
(sqrt.f64 (pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 2))
(log.f64 (exp.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))

localize22.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 1 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))) 6)
✓	0.1b	(/.f64 1 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9)))
✓	8.2b	(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))

Compiler

Compiled 55 to 41 computations (25.5% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 1 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9)))
1.0ms	x	@	-inf	(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
0.0ms	x	@	inf	(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
0.0ms	x	@	0	(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
0.0ms	x	@	inf	(/.f64 1 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9)))

rewrite93.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1750×	`associate-/r*`
1124×	`associate-/l*`
868×	`associate-/r/`
470×	`associate-/l/`
322×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	99
1	334	87
2	4065	87

Stop Event

1×	node limit

Counts

3 → 174

Calls

Call 1

Inputs
(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
(/.f64 1 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9)))
(/.f64 (/.f64 1 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))) 6)

Outputs

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

simplify106.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1272×	`associate-/r/`
584×	`+-commutative`
570×	`*-commutative`
514×	`associate-r`
496×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	468	7556
1	1286	7376
2	5492	7372

Stop Event

1×	node limit

Counts

210 → 254

Calls

Call 1

Inputs
-1/3
(-.f64 (*.f64 -1/9 (pow.f64 x 2)) 1/3)
(-.f64 (+.f64 (.f64 -1/9 (pow.f64 x 2)) (.f64 -1/27 (pow.f64 x 4))) 1/3)
(-.f64 (+.f64 (.f64 -1/9 (pow.f64 x 2)) (+.f64 (.f64 -1/81 (pow.f64 x 6)) (*.f64 -1/27 (pow.f64 x 4)))) 1/3)
(/.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 9 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 27 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 9 (/.f64 1 (pow.f64 x 6))))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 9 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 27 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 9 (/.f64 1 (pow.f64 x 6))))))
-3
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9)))) 1)
(*.f64 (fma.f64 x x 3) (/.f64 1 (+.f64 (pow.f64 x 4) -9)))
(*.f64 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9)) 1)
(*.f64 1 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9)))
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(.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (.f64 6 (fma.f64 x x 3))) 1)
(.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (.f64 6 (fma.f64 x x 3)))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3)))))
(.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))) (.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))) 1/6))
(.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (.f64 6 (fma.f64 x x 3)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (.f64 6 (fma.f64 x x 3)))) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))) 2) (.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))) 1/6))
(.f64 (/.f64 1 (fma.f64 x x 3)) (.f64 (+.f64 (pow.f64 x 4) -9) 1/6))
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(*.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))) -1/6)
(*.f64 -1/6 (neg.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))))
(.f64 (/.f64 1 (.f64 6 (fma.f64 x x 3))) (+.f64 (pow.f64 x 4) -9))
(*.f64 (/.f64 1/6 (fma.f64 x x 3)) (+.f64 (pow.f64 x 4) -9))
(*.f64 (/.f64 1/6 (sqrt.f64 (fma.f64 x x 3))) (/.f64 (+.f64 (pow.f64 x 4) -9) (sqrt.f64 (fma.f64 x x 3))))
(*.f64 (/.f64 1/6 (sqrt.f64 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9)))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))))
(*.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (fma.f64 x x 3)) 2)) (/.f64 (+.f64 (pow.f64 x 4) -9) (cbrt.f64 (fma.f64 x x 3))))
(*.f64 (/.f64 1/6 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9)) 2))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))))
(.f64 (/.f64 1/6 (-.f64 -3 (.f64 x x))) (-.f64 9 (pow.f64 x 4)))
(.f64 (/.f64 -1/6 (-.f64 -3 (.f64 x x))) (+.f64 (pow.f64 x 4) -9))
(.f64 (/.f64 1 (.f64 6 (-.f64 -3 (*.f64 x x)))) (-.f64 9 (pow.f64 x 4)))
(.f64 (/.f64 1 (.f64 6 (sqrt.f64 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))))
(*.f64 (/.f64 1 (/.f64 6 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))) 2))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))) 6) (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))) 2) 6) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))))
(*.f64 (/.f64 (/.f64 1 (fma.f64 x x 3)) 6) (+.f64 (pow.f64 x 4) -9))
(.f64 (/.f64 1/6 (/.f64 (-.f64 -3 (.f64 x x)) (+.f64 (pow.f64 x 4) -9))) -1)
(*.f64 (/.f64 1/6 (/.f64 (fma.f64 x x 3) 1)) (+.f64 (pow.f64 x 4) -9))
(*.f64 (/.f64 1/6 (/.f64 (fma.f64 x x 3) (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))) (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))
(*.f64 (/.f64 1/6 (/.f64 (fma.f64 x x 3) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2))) (cbrt.f64 (+.f64 (pow.f64 x 4) -9)))
(.f64 (/.f64 1/6 (neg.f64 (-.f64 -3 (.f64 x x)))) (neg.f64 (-.f64 9 (pow.f64 x 4))))
(.f64 (/.f64 -1/6 (neg.f64 (-.f64 -3 (.f64 x x)))) (-.f64 9 (pow.f64 x 4)))
(pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 6 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3)) -1)
(neg.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 -6 (fma.f64 x x 3))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3))) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3)))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3)))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (.f64 6 (fma.f64 x x 3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3)))))

Outputs
-1/3
(-.f64 (*.f64 -1/9 (pow.f64 x 2)) 1/3)
(fma.f64 -1/9 (*.f64 x x) -1/3)
(-.f64 (+.f64 (.f64 -1/9 (pow.f64 x 2)) (.f64 -1/27 (pow.f64 x 4))) 1/3)
(+.f64 (fma.f64 -1/9 (.f64 x x) (.f64 -1/27 (pow.f64 x 4))) -1/3)
(fma.f64 -1/9 (*.f64 x x) (fma.f64 -1/27 (pow.f64 x 4) -1/3))
(-.f64 (+.f64 (.f64 -1/9 (pow.f64 x 2)) (+.f64 (.f64 -1/81 (pow.f64 x 6)) (*.f64 -1/27 (pow.f64 x 4)))) 1/3)
(+.f64 (fma.f64 -1/9 (.f64 x x) (fma.f64 -1/81 (pow.f64 x 6) (.f64 -1/27 (pow.f64 x 4)))) -1/3)
(+.f64 (fma.f64 -1/27 (pow.f64 x 4) (.f64 -1/81 (pow.f64 x 6))) (fma.f64 -1/9 (.f64 x x) -1/3))
(+.f64 (fma.f64 -1/9 (.f64 x x) -1/3) (fma.f64 -1/27 (pow.f64 x 4) (.f64 -1/81 (pow.f64 x 6))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 4)))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 9 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 3 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 9 (pow.f64 x 6))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 4)) (/.f64 9 (pow.f64 x 6))))
(+.f64 (.f64 27 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 9 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (+.f64 (/.f64 3 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 9 (pow.f64 x 6)))) (/.f64 27 (pow.f64 x 8)))
(+.f64 (/.f64 3 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 9 (pow.f64 x 6))) (/.f64 27 (pow.f64 x 8))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 27 (pow.f64 x 8)) (+.f64 (/.f64 3 (pow.f64 x 4)) (/.f64 9 (pow.f64 x 6)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 4)))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 9 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 3 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 9 (pow.f64 x 6))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 4)) (/.f64 9 (pow.f64 x 6))))
(+.f64 (.f64 27 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 9 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (+.f64 (/.f64 3 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 9 (pow.f64 x 6)))) (/.f64 27 (pow.f64 x 8)))
(+.f64 (/.f64 3 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 9 (pow.f64 x 6))) (/.f64 27 (pow.f64 x 8))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 27 (pow.f64 x 8)) (+.f64 (/.f64 3 (pow.f64 x 4)) (/.f64 9 (pow.f64 x 6)))))
-3
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9)))) 1)
(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
(*.f64 (fma.f64 x x 3) (/.f64 1 (+.f64 (pow.f64 x 4) -9)))
(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
(*.f64 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9)) 1)
(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
(*.f64 1 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9)))
(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
(.f64 1 (neg.f64 (/.f64 (-.f64 -3 (.f64 x x)) (+.f64 (pow.f64 x 4) -9))))
(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
(.f64 (sqrt.f64 (fma.f64 x x 3)) (.f64 (sqrt.f64 (fma.f64 x x 3)) (/.f64 1 (+.f64 (pow.f64 x 4) -9))))
(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))) (sqrt.f64 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))))
(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 3)) 2) (.f64 (cbrt.f64 (fma.f64 x x 3)) (/.f64 1 (+.f64 (pow.f64 x 4) -9))))
(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9)) 2)) (cbrt.f64 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9)) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3))
(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
(.f64 -1 (/.f64 (-.f64 -3 (.f64 x x)) (+.f64 (pow.f64 x 4) -9)))
(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
(.f64 (-.f64 -3 (.f64 x x)) (/.f64 -1 (+.f64 (pow.f64 x 4) -9)))
(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) -9))) (/.f64 (fma.f64 x x 3) (sqrt.f64 (+.f64 (pow.f64 x 4) -9))))
(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2)) (/.f64 (fma.f64 x x 3) (cbrt.f64 (+.f64 (pow.f64 x 4) -9))))
(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
(*.f64 (/.f64 (fma.f64 x x 3) 1) (/.f64 1 (+.f64 (pow.f64 x 4) -9)))
(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 8) -81)) (.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) 9)))
(/.f64 (.f64 1 (.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) 9))) (+.f64 (pow.f64 x 8) -81))
(*.f64 (fma.f64 x x 3) (/.f64 (+.f64 (pow.f64 x 4) 9) (+.f64 (pow.f64 x 8) -81)))
(.f64 (/.f64 1 (+.f64 -729 (pow.f64 x 12))) (.f64 (fma.f64 x x 3) (-.f64 (+.f64 81 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) -9))))
(.f64 (.f64 (/.f64 1 (+.f64 -729 (pow.f64 x 12))) (fma.f64 x x 3)) (-.f64 (+.f64 (pow.f64 x 8) 81) (*.f64 (pow.f64 x 4) -9)))
(.f64 (+.f64 (pow.f64 x 8) (+.f64 81 (.f64 (pow.f64 x 4) 9))) (/.f64 (fma.f64 x x 3) (+.f64 -729 (pow.f64 x 12))))
(*.f64 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 8) -81)) (+.f64 (pow.f64 x 4) 9))
(/.f64 (.f64 1 (.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) 9))) (+.f64 (pow.f64 x 8) -81))
(*.f64 (fma.f64 x x 3) (/.f64 (+.f64 (pow.f64 x 4) 9) (+.f64 (pow.f64 x 8) -81)))
(.f64 (/.f64 (fma.f64 x x 3) (+.f64 -729 (pow.f64 x 12))) (-.f64 (+.f64 81 (pow.f64 x 8)) (.f64 (pow.f64 x 4) -9)))
(.f64 (.f64 (/.f64 1 (+.f64 -729 (pow.f64 x 12))) (fma.f64 x x 3)) (-.f64 (+.f64 (pow.f64 x 8) 81) (*.f64 (pow.f64 x 4) -9)))
(.f64 (+.f64 (pow.f64 x 8) (+.f64 81 (.f64 (pow.f64 x 4) 9))) (/.f64 (fma.f64 x x 3) (+.f64 -729 (pow.f64 x 12))))
(.f64 (/.f64 -1 (+.f64 (pow.f64 x 4) -9)) (-.f64 -3 (.f64 x x)))
(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x 3)) 1) (/.f64 (sqrt.f64 (fma.f64 x x 3)) (+.f64 (pow.f64 x 4) -9)))
(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x 3)) (+.f64 (pow.f64 x 4) -9)) (sqrt.f64 (fma.f64 x x 3)))
(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x 3)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2)) (/.f64 (sqrt.f64 (fma.f64 x x 3)) (cbrt.f64 (+.f64 (pow.f64 x 4) -9))))
(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 3)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x 3)) (+.f64 (pow.f64 x 4) -9)))
(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 3)) 2) (sqrt.f64 (+.f64 (pow.f64 x 4) -9))) (/.f64 (cbrt.f64 (fma.f64 x x 3)) (sqrt.f64 (+.f64 (pow.f64 x 4) -9))))
(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 3)) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2)) (cbrt.f64 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 3)) 2) (cbrt.f64 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9)))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 3)) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))) 1) (sqrt.f64 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))))
(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9)) 2)) 1) (cbrt.f64 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))))
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(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1/6 (fma.f64 x x 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))) 2) 6) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))))
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1/6 (fma.f64 x x 3)))
(*.f64 (/.f64 (/.f64 1 (fma.f64 x x 3)) 6) (+.f64 (pow.f64 x 4) -9))
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1/6 (fma.f64 x x 3)))
(.f64 (/.f64 1/6 (/.f64 (-.f64 -3 (.f64 x x)) (+.f64 (pow.f64 x 4) -9))) -1)
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1/6 (fma.f64 x x 3)))
(*.f64 (/.f64 1/6 (/.f64 (fma.f64 x x 3) 1)) (+.f64 (pow.f64 x 4) -9))
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1/6 (fma.f64 x x 3)))
(*.f64 (/.f64 1/6 (/.f64 (fma.f64 x x 3) (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))) (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1/6 (fma.f64 x x 3)))
(*.f64 (/.f64 1/6 (/.f64 (fma.f64 x x 3) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2))) (cbrt.f64 (+.f64 (pow.f64 x 4) -9)))
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1/6 (fma.f64 x x 3)))
(.f64 (/.f64 1/6 (neg.f64 (-.f64 -3 (.f64 x x)))) (neg.f64 (-.f64 9 (pow.f64 x 4))))
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1/6 (fma.f64 x x 3)))
(.f64 (/.f64 -1/6 (neg.f64 (-.f64 -3 (.f64 x x)))) (-.f64 9 (pow.f64 x 4)))
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1/6 (fma.f64 x x 3)))
(pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3))) 1)
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1/6 (fma.f64 x x 3)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3)))) 2)
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1/6 (fma.f64 x x 3)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3)))) 3)
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1/6 (fma.f64 x x 3)))
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3))) 3) 1/3)
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1/6 (fma.f64 x x 3)))
(pow.f64 (*.f64 (/.f64 6 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3)) -1)
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1/6 (fma.f64 x x 3)))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 -6 (fma.f64 x x 3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -9)) (*.f64 (fma.f64 x x 3) -6))
(/.f64 (-.f64 9 (pow.f64 x 4)) (*.f64 (fma.f64 x x 3) -6))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3))) 2))
(sqrt.f64 (pow.f64 (*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))) 2))
(fabs.f64 (*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1/6 (fma.f64 x x 3))))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3)))))
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1/6 (fma.f64 x x 3)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3))))))
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1/6 (fma.f64 x x 3)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3))) 3))
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1/6 (fma.f64 x x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3)))))
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1/6 (fma.f64 x x 3)))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3)))))
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1/6 (fma.f64 x x 3)))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (.f64 6 (fma.f64 x x 3)))) 1))
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1/6 (fma.f64 x x 3)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3)))))
(*.f64 1/6 (/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3)))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1/6 (fma.f64 x x 3)))

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fma.f64 x x -3))
✓	0.1b	(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
✓	0.1b	(*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)

Compiler

Compiled 33 to 22 computations (33.3% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)
0.0ms	x	@	inf	(*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)
0.0ms	x	@	0	(sqrt.f64 (fma.f64 x x -3))
0.0ms	x	@	-inf	(sqrt.f64 (fma.f64 x x -3))

rewrite66.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1942×	`add-sqr-sqrt`
1912×	`*-un-lft-identity`
1782×	`add-cube-cbrt`
1762×	`add-cbrt-cube`
204×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	218	47
2	2442	47

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)
(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
(sqrt.f64 (fma.f64 x x -3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (fma.f64 x x -3) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))))))

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

simplify71.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1280×	`associate-/l*`
1044×	`associate-/r*`
826×	`associate-*r/`
792×	`unswap-sqr`
638×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	1867
1	463	1817
2	1455	1795
3	5230	1795

Stop Event

1×	node limit

Counts

85 → 138

Calls

Call 1

Inputs
(*.f64 1/6 (sqrt.f64 -3))
(+.f64 (.f64 1/12 (/.f64 (pow.f64 x 2) (sqrt.f64 -3))) (.f64 1/6 (sqrt.f64 -3)))
(+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 x 2) (sqrt.f64 -3))) (*.f64 1/6 (sqrt.f64 -3))))
(+.f64 (.f64 1/96 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 x 2) (sqrt.f64 -3))) (.f64 1/6 (sqrt.f64 -3)))))
(*.f64 1/6 x)
(-.f64 (.f64 1/6 x) (.f64 1/4 (/.f64 1 x)))
(-.f64 (.f64 1/6 x) (+.f64 (.f64 1/4 (/.f64 1 x)) (*.f64 3/16 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (.f64 1/6 x) (+.f64 (.f64 1/4 (/.f64 1 x)) (+.f64 (.f64 9/32 (/.f64 1 (pow.f64 x 5))) (.f64 3/16 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1/6 x)
(+.f64 (.f64 1/4 (/.f64 1 x)) (.f64 -1/6 x))
(+.f64 (.f64 1/4 (/.f64 1 x)) (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 3))) (*.f64 -1/6 x)))
(+.f64 (.f64 1/4 (/.f64 1 x)) (+.f64 (.f64 9/32 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 3))) (.f64 -1/6 x))))
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(sqrt.f64 -3)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -3))) (sqrt.f64 -3))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -3))) (+.f64 (sqrt.f64 -3) (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (sqrt.f64 -3) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -3) 3))))))
x
(-.f64 x (*.f64 3/2 (/.f64 1 x)))
(-.f64 x (+.f64 (.f64 3/2 (/.f64 1 x)) (.f64 9/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (.f64 3/2 (/.f64 1 x)) (+.f64 (.f64 9/8 (/.f64 1 (pow.f64 x 3))) (*.f64 27/16 (/.f64 1 (pow.f64 x 5))))))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 3/2 (/.f64 1 x)))
(+.f64 (.f64 3/2 (/.f64 1 x)) (+.f64 (.f64 9/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (.f64 3/2 (/.f64 1 x)) (+.f64 (.f64 9/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 27/16 (/.f64 1 (pow.f64 x 5))) (.f64 -1 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))) 1)
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6) 3) 1/3)
(sqrt.f64 (*.f64 (fma.f64 x x -3) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (fma.f64 x x -3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x x -3)) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -3)))) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -3)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -3)))
(*.f64 (pow.f64 (fma.f64 x x -3) 1/4) (pow.f64 (fma.f64 x x -3) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -3))) (cbrt.f64 (fma.f64 x x -3)))
(*.f64 (cbrt.f64 (fma.f64 x x -3)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -3))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -3))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -3)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 1/2))
(pow.f64 (fma.f64 x x -3) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -3)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -3) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -3))) 3)
(pow.f64 (pow.f64 (fma.f64 x x -3) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 x x -3)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -3))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -3)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -3) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -3))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -3))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -3)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -3))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -3))))

Outputs
(*.f64 1/6 (sqrt.f64 -3))
(+.f64 (.f64 1/12 (/.f64 (pow.f64 x 2) (sqrt.f64 -3))) (.f64 1/6 (sqrt.f64 -3)))
(fma.f64 1/12 (/.f64 (.f64 x x) (sqrt.f64 -3)) (.f64 1/6 (sqrt.f64 -3)))
(fma.f64 1/12 (/.f64 x (/.f64 (sqrt.f64 -3) x)) (*.f64 1/6 (sqrt.f64 -3)))
(fma.f64 1/6 (sqrt.f64 -3) (.f64 (/.f64 1/12 (sqrt.f64 -3)) (.f64 x x)))
(+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 x 2) (sqrt.f64 -3))) (*.f64 1/6 (sqrt.f64 -3))))
(fma.f64 -1/48 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 1/12 (/.f64 (.f64 x x) (sqrt.f64 -3)) (.f64 1/6 (sqrt.f64 -3))))
(+.f64 (fma.f64 1/12 (/.f64 x (/.f64 (sqrt.f64 -3) x)) (.f64 1/6 (sqrt.f64 -3))) (.f64 1/144 (/.f64 (pow.f64 x 4) (sqrt.f64 -3))))
(fma.f64 1/144 (/.f64 (pow.f64 x 4) (sqrt.f64 -3)) (fma.f64 1/6 (sqrt.f64 -3) (.f64 (/.f64 1/12 (sqrt.f64 -3)) (.f64 x x))))
(fma.f64 1/12 (.f64 (/.f64 x (sqrt.f64 -3)) x) (fma.f64 1/6 (sqrt.f64 -3) (.f64 (/.f64 1/144 (sqrt.f64 -3)) (pow.f64 x 4))))
(+.f64 (.f64 1/96 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (.f64 -1/48 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 x 2) (sqrt.f64 -3))) (.f64 1/6 (sqrt.f64 -3)))))
(fma.f64 1/96 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 -1/48 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 1/12 (/.f64 (.f64 x x) (sqrt.f64 -3)) (.f64 1/6 (sqrt.f64 -3)))))
(fma.f64 1/96 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -3) 5)) (+.f64 (fma.f64 1/12 (/.f64 x (/.f64 (sqrt.f64 -3) x)) (.f64 1/6 (sqrt.f64 -3))) (.f64 1/144 (/.f64 (pow.f64 x 4) (sqrt.f64 -3)))))
(fma.f64 1/96 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 1/144 (/.f64 (pow.f64 x 4) (sqrt.f64 -3)) (fma.f64 1/6 (sqrt.f64 -3) (.f64 (/.f64 1/12 (sqrt.f64 -3)) (.f64 x x)))))
(fma.f64 1/96 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 1/12 (.f64 (/.f64 x (sqrt.f64 -3)) x) (fma.f64 1/6 (sqrt.f64 -3) (.f64 (/.f64 1/144 (sqrt.f64 -3)) (pow.f64 x 4)))))
(*.f64 1/6 x)
(-.f64 (.f64 1/6 x) (.f64 1/4 (/.f64 1 x)))
(-.f64 (*.f64 1/6 x) (/.f64 1/4 x))
(fma.f64 1/6 x (/.f64 -1/4 x))
(-.f64 (.f64 1/6 x) (+.f64 (.f64 1/4 (/.f64 1 x)) (*.f64 3/16 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 1/6 x) (+.f64 (/.f64 1/4 x) (/.f64 3/16 (pow.f64 x 3))))
(-.f64 (fma.f64 1/6 x (/.f64 -1/4 x)) (/.f64 3/16 (pow.f64 x 3)))
(fma.f64 1/6 x (-.f64 (/.f64 -1/4 x) (/.f64 3/16 (pow.f64 x 3))))
(-.f64 (.f64 1/6 x) (+.f64 (.f64 1/4 (/.f64 1 x)) (+.f64 (.f64 9/32 (/.f64 1 (pow.f64 x 5))) (.f64 3/16 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (*.f64 1/6 x) (+.f64 (/.f64 1/4 x) (+.f64 (/.f64 3/16 (pow.f64 x 3)) (/.f64 9/32 (pow.f64 x 5)))))
(-.f64 (fma.f64 1/6 x (/.f64 -1/4 x)) (+.f64 (/.f64 3/16 (pow.f64 x 3)) (/.f64 9/32 (pow.f64 x 5))))
(+.f64 (fma.f64 1/6 x (/.f64 -1/4 x)) (-.f64 (/.f64 -3/16 (pow.f64 x 3)) (/.f64 9/32 (pow.f64 x 5))))
(*.f64 -1/6 x)
(*.f64 x -1/6)
(+.f64 (.f64 1/4 (/.f64 1 x)) (.f64 -1/6 x))
(+.f64 (/.f64 1/4 x) (*.f64 x -1/6))
(fma.f64 x -1/6 (/.f64 1/4 x))
(+.f64 (.f64 1/4 (/.f64 1 x)) (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 3))) (*.f64 -1/6 x)))
(+.f64 (/.f64 1/4 x) (+.f64 (/.f64 3/16 (pow.f64 x 3)) (*.f64 x -1/6)))
(+.f64 (/.f64 3/16 (pow.f64 x 3)) (fma.f64 x -1/6 (/.f64 1/4 x)))
(+.f64 (.f64 1/4 (/.f64 1 x)) (+.f64 (.f64 9/32 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 3))) (.f64 -1/6 x))))
(+.f64 (/.f64 1/4 x) (+.f64 (+.f64 (/.f64 3/16 (pow.f64 x 3)) (/.f64 9/32 (pow.f64 x 5))) (*.f64 x -1/6)))
(+.f64 (/.f64 9/32 (pow.f64 x 5)) (+.f64 (/.f64 3/16 (pow.f64 x 3)) (fma.f64 x -1/6 (/.f64 1/4 x))))
(+.f64 (/.f64 3/16 (pow.f64 x 3)) (+.f64 (/.f64 9/32 (pow.f64 x 5)) (fma.f64 x -1/6 (/.f64 1/4 x))))
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 x (*.f64 1/6 x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 x (*.f64 1/6 x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 x (*.f64 1/6 x) -1/2)
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 x (*.f64 1/6 x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 x (*.f64 1/6 x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 x (*.f64 1/6 x) -1/2)
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 x (*.f64 1/6 x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 x (*.f64 1/6 x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 x (*.f64 1/6 x) -1/2)
(sqrt.f64 -3)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -3))) (sqrt.f64 -3))
(fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -3)) (sqrt.f64 -3))
(fma.f64 (/.f64 x (/.f64 (sqrt.f64 -3) x)) 1/2 (sqrt.f64 -3))
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 -3)) x) 1/2 (sqrt.f64 -3))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -3))) (+.f64 (sqrt.f64 -3) (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 x x) (sqrt.f64 -3)) (sqrt.f64 -3)) (/.f64 (.f64 -1/8 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -3) 3)))
(+.f64 (fma.f64 (/.f64 x (/.f64 (sqrt.f64 -3) x)) 1/2 (sqrt.f64 -3)) (*.f64 1/24 (/.f64 (pow.f64 x 4) (sqrt.f64 -3))))
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 -3)) x) 1/2 (fma.f64 1/24 (/.f64 (pow.f64 x 4) (sqrt.f64 -3)) (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (sqrt.f64 -3) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -3) 3))))))
(fma.f64 1/2 (/.f64 (.f64 x x) (sqrt.f64 -3)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -3) 5)) (+.f64 (sqrt.f64 -3) (/.f64 (.f64 -1/8 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -3) 3)))))
(fma.f64 (/.f64 x (/.f64 (sqrt.f64 -3) x)) 1/2 (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 4) (sqrt.f64 -3))) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -3) 5)) 1/16 (sqrt.f64 -3))))
(fma.f64 (*.f64 (/.f64 x (sqrt.f64 -3)) x) 1/2 (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -3) 5)) 1/16 (fma.f64 1/24 (/.f64 (pow.f64 x 4) (sqrt.f64 -3)) (sqrt.f64 -3))))
x
(-.f64 x (*.f64 3/2 (/.f64 1 x)))
(-.f64 x (/.f64 3/2 x))
(+.f64 x (/.f64 -3/2 x))
(-.f64 x (+.f64 (.f64 3/2 (/.f64 1 x)) (.f64 9/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (/.f64 3/2 x) (/.f64 9/8 (pow.f64 x 3))))
(-.f64 (+.f64 x (/.f64 -3/2 x)) (/.f64 9/8 (pow.f64 x 3)))
(+.f64 x (+.f64 (/.f64 -3/2 x) (/.f64 -9/8 (pow.f64 x 3))))
(-.f64 x (+.f64 (.f64 3/2 (/.f64 1 x)) (+.f64 (.f64 9/8 (/.f64 1 (pow.f64 x 3))) (*.f64 27/16 (/.f64 1 (pow.f64 x 5))))))
(-.f64 x (+.f64 (/.f64 3/2 x) (+.f64 (/.f64 9/8 (pow.f64 x 3)) (/.f64 27/16 (pow.f64 x 5)))))
(-.f64 (+.f64 x (/.f64 -3/2 x)) (+.f64 (/.f64 9/8 (pow.f64 x 3)) (/.f64 27/16 (pow.f64 x 5))))
(+.f64 x (-.f64 (/.f64 -3/2 x) (+.f64 (/.f64 9/8 (pow.f64 x 3)) (/.f64 27/16 (pow.f64 x 5)))))
(+.f64 x (+.f64 (/.f64 -9/8 (pow.f64 x 3)) (-.f64 (/.f64 -3/2 x) (/.f64 27/16 (pow.f64 x 5)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 3/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 3/2 x))
(-.f64 (/.f64 3/2 x) x)
(+.f64 (.f64 3/2 (/.f64 1 x)) (+.f64 (.f64 9/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (/.f64 3/2 x) (+.f64 (/.f64 9/8 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (/.f64 3/2 x) (-.f64 (/.f64 9/8 (pow.f64 x 3)) x))
(-.f64 (-.f64 (/.f64 3/2 x) x) (/.f64 -9/8 (pow.f64 x 3)))
(+.f64 (.f64 3/2 (/.f64 1 x)) (+.f64 (.f64 9/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 27/16 (/.f64 1 (pow.f64 x 5))) (.f64 -1 x))))
(+.f64 (/.f64 3/2 x) (+.f64 (/.f64 9/8 (pow.f64 x 3)) (+.f64 (/.f64 27/16 (pow.f64 x 5)) (neg.f64 x))))
(+.f64 (/.f64 3/2 x) (+.f64 (/.f64 9/8 (pow.f64 x 3)) (-.f64 (/.f64 27/16 (pow.f64 x 5)) x)))
(+.f64 (/.f64 3/2 x) (-.f64 (/.f64 9/8 (pow.f64 x 3)) (-.f64 x (/.f64 27/16 (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))) 1)
(*.f64 1/6 (sqrt.f64 (fma.f64 x x -3)))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6) 1)
(*.f64 1/6 (sqrt.f64 (fma.f64 x x -3)))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)) 2)
(*.f64 1/6 (sqrt.f64 (fma.f64 x x -3)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)) 3)
(*.f64 1/6 (sqrt.f64 (fma.f64 x x -3)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6) 3) 1/3)
(*.f64 1/6 (sqrt.f64 (fma.f64 x x -3)))
(sqrt.f64 (*.f64 (fma.f64 x x -3) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (fma.f64 x x -3))))
(*.f64 1/6 (sqrt.f64 (fma.f64 x x -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))))
(*.f64 1/6 (sqrt.f64 (fma.f64 x x -3)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6) 3))
(*.f64 1/6 (sqrt.f64 (fma.f64 x x -3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)))
(*.f64 1/6 (sqrt.f64 (fma.f64 x x -3)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)))
(*.f64 1/6 (sqrt.f64 (fma.f64 x x -3)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)) 1))
(*.f64 1/6 (sqrt.f64 (fma.f64 x x -3)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6)))
(*.f64 1/6 (sqrt.f64 (fma.f64 x x -3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 x (*.f64 1/6 x) -1/2)
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 x (*.f64 1/6 x) -1/2)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 x (*.f64 1/6 x) -1/2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 x (*.f64 1/6 x) -1/2)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3) 1/3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 x (*.f64 1/6 x) -1/2)
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))
(sqrt.f64 (*.f64 1/36 (pow.f64 (fma.f64 x x -3) 2)))
(fabs.f64 (fma.f64 x (*.f64 1/6 x) -1/2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x x -3)) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 x (*.f64 1/6 x) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 x (*.f64 1/6 x) -1/2)
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 x (*.f64 1/6 x) -1/2)
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 x (*.f64 1/6 x) -1/2)
(exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 x (*.f64 1/6 x) -1/2)
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 x (*.f64 1/6 x) -1/2)
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 x (*.f64 1/6 x) -1/2)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -3)))) 1)
(sqrt.f64 (fma.f64 x x -3))
(*.f64 (sqrt.f64 (fma.f64 x x -3)) 1)
(sqrt.f64 (fma.f64 x x -3))
(*.f64 1 (sqrt.f64 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 x x -3))
(*.f64 (pow.f64 (fma.f64 x x -3) 1/4) (pow.f64 (fma.f64 x x -3) 1/4))
(sqrt.f64 (fma.f64 x x -3))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -3))) (cbrt.f64 (fma.f64 x x -3)))
(*.f64 (cbrt.f64 (fma.f64 x x -3)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -3))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -3))) (cbrt.f64 (fma.f64 x x -3)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -3))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 x x -3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -3))))
(pow.f64 (fma.f64 x x -3) 1/2)
(sqrt.f64 (fma.f64 x x -3))
(pow.f64 (sqrt.f64 (fma.f64 x x -3)) 1)
(sqrt.f64 (fma.f64 x x -3))
(pow.f64 (pow.f64 (fma.f64 x x -3) 1/4) 2)
(sqrt.f64 (fma.f64 x x -3))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -3))) 3)
(sqrt.f64 (fma.f64 x x -3))
(pow.f64 (pow.f64 (fma.f64 x x -3) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 x x -3) 3/2))
(fabs.f64 (sqrt.f64 (fma.f64 x x -3)))
(sqrt.f64 (fma.f64 x x -3))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -3))))
(sqrt.f64 (fma.f64 x x -3))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -3)))))
(sqrt.f64 (fma.f64 x x -3))
(cbrt.f64 (pow.f64 (fma.f64 x x -3) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -3))))
(sqrt.f64 (fma.f64 x x -3))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -3))))
(sqrt.f64 (fma.f64 x x -3))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -3)) 1/2))
(sqrt.f64 (fma.f64 x x -3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -3))) 1))
(sqrt.f64 (fma.f64 x x -3))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -3))))
(sqrt.f64 (fma.f64 x x -3))

eval574.0ms (13.2%)

Compiler: Compiled 13802 to 10756 computations (22.1% saved)

prune198.0ms (4.6%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	727	3	730
Fresh	2	2	4
Picked	1	0	1
Done	2	4	6
Total	732	9	741

Error

Counts

741 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.4b	(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 3)
✓	8.8b	(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3)) 6)
▶	46.2b	(/.f64 (/.f64 1 (/.f64 1 (*.f64 x x))) 6)
✓	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
▶	46.2b	(/.f64 (*.f64 x x) 6)
✓	0.1b	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
▶	46.2b	(.f64 x (.f64 x 1/6))
✓	46.2b	(.f64 1/6 (.f64 x x))
	18.0b	-1/2

Compiler

Compiled 69 to 52 computations (24.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 x 1/6))
✓	0.3b	(*.f64 x 1/6)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(*.f64 x 1/6)
0.0ms	x	@	0	(*.f64 x 1/6)
0.0ms	x	@	inf	(*.f64 x 1/6)
0.0ms	x	@	inf	(.f64 x (.f64 x 1/6))
0.0ms	x	@	0	(.f64 x (.f64 x 1/6))

rewrite70.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1108×	`add-sqr-sqrt`
1090×	`*-un-lft-identity`
1034×	`pow1`
1016×	`add-cube-cbrt`
1002×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	20
1	121	20
2	1383	20

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(*.f64 x 1/6)
(.f64 x (.f64 x 1/6))

Outputs

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

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

simplify70.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1452×	`distribute-lft-in`
1444×	`distribute-rgt-in`
1308×	`associate-+r+`
1228×	`associate-+l+`
654×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	460
1	138	460
2	584	460
3	2212	460

Stop Event

1×	node limit

Counts

46 → 25

Calls

Call 1

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

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 x x) 6)

Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (*.f64 x x) 6)
0.0ms	x	@	inf	(/.f64 (*.f64 x x) 6)
0.0ms	x	@	-inf	(/.f64 (*.f64 x x) 6)

rewrite48.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1218×	`add-sqr-sqrt`
1184×	`*-un-lft-identity`
1122×	`add-cube-cbrt`
1114×	`add-cbrt-cube`
1104×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	130	13
2	1585	13

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(/.f64 (*.f64 x x) 6)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 6)) (/.f64 x (sqrt.f64 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/6))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 x (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 6) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) -6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/6))))))))

simplify56.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1708×	`distribute-lft-in`
1464×	`associate-l`
1412×	`associate-+r+`
1364×	`associate-*r/`
1228×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	565
1	155	565
2	556	565
3	2597	565

Stop Event

1×	node limit

Counts

37 → 29

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (+.f64 1 (.f64 x (.f64 x 1/6))) 1)
(.f64 x (.f64 x 1/6))
(*.f64 x (/.f64 1 (/.f64 6 x)))
(.f64 (.f64 x x) 1/6)
(.f64 (.f64 x (*.f64 x 1/6)) 1)
(.f64 1 (.f64 x (*.f64 x 1/6)))
(*.f64 (/.f64 x (sqrt.f64 6)) (/.f64 x (sqrt.f64 6)))
(.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (.f64 x (.f64 x 1/6))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (*.f64 x x)) 1/6))
(.f64 1/6 (.f64 x x))
(.f64 (.f64 x (neg.f64 x)) -1/6)
(*.f64 (/.f64 x 6) x)
(pow.f64 (.f64 x (.f64 x 1/6)) 1)
(pow.f64 (/.f64 x (sqrt.f64 6)) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 3) 1/3)
(pow.f64 (/.f64 6 (*.f64 x x)) -1)
(neg.f64 (/.f64 (*.f64 x x) -6))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/6))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/6))))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/6))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/6))))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(-.f64 (+.f64 1 (.f64 x (.f64 x 1/6))) 1)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 1 (/.f64 6 x)))
(.f64 1/6 (.f64 x x))
(.f64 (.f64 x x) 1/6)
(.f64 1/6 (.f64 x x))
(.f64 (.f64 x (*.f64 x 1/6)) 1)
(.f64 1/6 (.f64 x x))
(.f64 1 (.f64 x (*.f64 x 1/6)))
(.f64 1/6 (.f64 x x))
(*.f64 (/.f64 x (sqrt.f64 6)) (/.f64 x (sqrt.f64 6)))
(pow.f64 (/.f64 x (sqrt.f64 6)) 2)
(.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (.f64 x (.f64 x 1/6))))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (*.f64 x x)) 1/6))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 1/6 (cbrt.f64 (*.f64 x x))))
(.f64 1/6 (.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x))))
(.f64 1/6 (.f64 x x))
(.f64 (.f64 x (neg.f64 x)) -1/6)
(.f64 1/6 (.f64 x x))
(*.f64 (/.f64 x 6) x)
(.f64 1/6 (.f64 x x))
(pow.f64 (.f64 x (.f64 x 1/6)) 1)
(.f64 1/6 (.f64 x x))
(pow.f64 (/.f64 x (sqrt.f64 6)) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) 3)
(.f64 1/6 (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 3) 1/3)
(.f64 1/6 (.f64 x x))
(pow.f64 (/.f64 6 (*.f64 x x)) -1)
(.f64 1/6 (.f64 x x))
(neg.f64 (/.f64 (*.f64 x x) -6))
(.f64 1/6 (.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/6))
(.f64 1/6 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 3))
(.f64 1/6 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/6))))
(.f64 1/6 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/6))))
(.f64 1/6 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/6))))
(.f64 1/6 (.f64 x x))

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (*.f64 x x))
✓	0.2b	(/.f64 (/.f64 1 (/.f64 1 (*.f64 x x))) 6)
✓	0.3b	(/.f64 1 (/.f64 1 (*.f64 x x)))

Compiler

Compiled 28 to 16 computations (42.9% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 1 (/.f64 1 (*.f64 x x)))
0.0ms	x	@	0	(/.f64 1 (/.f64 1 (*.f64 x x)))
0.0ms	x	@	0	(/.f64 1 (*.f64 x x))
0.0ms	x	@	0	(/.f64 (/.f64 1 (/.f64 1 (*.f64 x x))) 6)
0.0ms	x	@	inf	(/.f64 (/.f64 1 (/.f64 1 (*.f64 x x))) 6)

rewrite60.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1504×	`add-sqr-sqrt`
1466×	`*-un-lft-identity`
1386×	`add-cube-cbrt`
1376×	`add-cbrt-cube`
1364×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	198	27
2	2149	27

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 (*.f64 x x)))
(/.f64 (/.f64 1 (/.f64 1 (*.f64 x x))) 6)
(/.f64 1 (*.f64 x x))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/6))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 x (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 6 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) -6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/6))))))))

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

simplify67.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

774×	`distribute-lft-neg-in`
624×	`distribute-rgt-neg-in`
530×	`associate-*r/`
520×	`*-commutative`
504×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	148	1329
1	350	1137
2	1485	1125
3	5237	1125

Stop Event

1×	node limit

Counts

109 → 81

Calls

Call 1

Inputs
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 x x)) 1)
(.f64 1 (.f64 x x))
(*.f64 x x)
(.f64 (.f64 x x) 1)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))
(.f64 -1 (.f64 x (neg.f64 x)))
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (pow.f64 (/.f64 1 x) -1) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) -1) (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1))
(pow.f64 x 2)
(pow.f64 (*.f64 x x) 1)
(pow.f64 (pow.f64 x -2) -1)
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 3)
(pow.f64 (pow.f64 (*.f64 x x) 3) 1/3)
(sqrt.f64 (pow.f64 x 4))
(log.f64 (pow.f64 (exp.f64 x) x))
(cbrt.f64 (pow.f64 (*.f64 x x) 3))
(expm1.f64 (log1p.f64 (*.f64 x x)))
(exp.f64 (*.f64 2 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 x)) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 x -2)) -1))
(log1p.f64 (expm1.f64 (*.f64 x x)))
(-.f64 (+.f64 1 (.f64 x (.f64 x 1/6))) 1)
(.f64 1 (.f64 x (*.f64 x 1/6)))
(.f64 x (.f64 x 1/6))
(.f64 (.f64 x x) 1/6)
(.f64 (.f64 x (*.f64 x 1/6)) 1)
(.f64 (.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/6))
(.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (.f64 x (.f64 x 1/6))))
(.f64 1/6 (.f64 x x))
(.f64 (.f64 x (neg.f64 x)) -1/6)
(pow.f64 (.f64 x (.f64 x 1/6)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 6 x) x) -1)
(neg.f64 (/.f64 (*.f64 x x) -6))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/6))))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/6))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 1/6))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/6))))
(-.f64 (+.f64 1 (pow.f64 x -2)) 1)
(*.f64 1 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) 1)
(*.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(*.f64 -1 (neg.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1))
(pow.f64 x -2)
(pow.f64 (*.f64 x x) -1)
(pow.f64 (pow.f64 x -2) 1)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(pow.f64 (/.f64 1 x) 2)
(sqrt.f64 (/.f64 1 (pow.f64 x 4)))
(log.f64 (exp.f64 (pow.f64 x -2)))
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(exp.f64 (log.f64 (pow.f64 x -2)))
(exp.f64 (.f64 (.f64 2 (log.f64 x)) -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 x -2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x -2)))

Outputs
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 x 1/6))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(-.f64 (+.f64 1 (*.f64 x x)) 1)
(*.f64 x x)
(.f64 1 (.f64 x x))
(*.f64 x x)
(*.f64 x x)
(.f64 (.f64 x x) 1)
(*.f64 x x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(*.f64 x x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x))
(*.f64 x x)
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))
(.f64 -1 (.f64 x (neg.f64 x)))
(*.f64 x x)
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x x)
(.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x x)
(*.f64 (pow.f64 (/.f64 1 x) -1) (pow.f64 (/.f64 1 x) -1))
(*.f64 x x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) -1) (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1))
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 (*.f64 x x) 1)
(*.f64 x x)
(pow.f64 (pow.f64 x -2) -1)
(*.f64 x x)
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 3)
(*.f64 x x)
(pow.f64 (pow.f64 (*.f64 x x) 3) 1/3)
(*.f64 x x)
(sqrt.f64 (pow.f64 x 4))
(*.f64 x x)
(log.f64 (pow.f64 (exp.f64 x) x))
(*.f64 x x)
(cbrt.f64 (pow.f64 (*.f64 x x) 3))
(*.f64 x x)
(expm1.f64 (log1p.f64 (*.f64 x x)))
(*.f64 x x)
(exp.f64 (*.f64 2 (log.f64 x)))
(*.f64 x x)
(exp.f64 (*.f64 (log.f64 x) 2))
(*.f64 x x)
(exp.f64 (.f64 (.f64 2 (log.f64 x)) 1))
(*.f64 x x)
(exp.f64 (*.f64 (log.f64 (pow.f64 x -2)) -1))
(*.f64 x x)
(log1p.f64 (expm1.f64 (*.f64 x x)))
(*.f64 x x)
(-.f64 (+.f64 1 (.f64 x (.f64 x 1/6))) 1)
(.f64 x (.f64 x 1/6))
(.f64 1 (.f64 x (*.f64 x 1/6)))
(.f64 x (.f64 x 1/6))
(.f64 x (.f64 x 1/6))
(.f64 (.f64 x x) 1/6)
(.f64 x (.f64 x 1/6))
(.f64 (.f64 x (*.f64 x 1/6)) 1)
(.f64 x (.f64 x 1/6))
(.f64 (.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)))
(.f64 x (.f64 x 1/6))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/6))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 1/6 (pow.f64 (cbrt.f64 x) 2)))
(.f64 1/6 (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (.f64 x (.f64 x 1/6))))
(.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(.f64 (.f64 x (neg.f64 x)) -1/6)
(.f64 x (.f64 x 1/6))
(pow.f64 (.f64 x (.f64 x 1/6)) 1)
(.f64 x (.f64 x 1/6))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(.f64 x (.f64 x 1/6))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) 3)
(.f64 x (.f64 x 1/6))
(pow.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 3) 1/3)
(.f64 x (.f64 x 1/6))
(pow.f64 (/.f64 (/.f64 6 x) x) -1)
(.f64 x (.f64 x 1/6))
(neg.f64 (/.f64 (*.f64 x x) -6))
(.f64 x (.f64 x 1/6))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))
(.f64 x (.f64 x 1/6))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 3))
(.f64 x (.f64 x 1/6))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/6))))
(.f64 x (.f64 x 1/6))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/6))))
(.f64 x (.f64 x 1/6))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 1/6))) 1))
(.f64 x (.f64 x 1/6))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/6))))
(.f64 x (.f64 x 1/6))
(-.f64 (+.f64 1 (pow.f64 x -2)) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 1 (pow.f64 x -2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (/.f64 1 x) (/.f64 1 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 -1 (neg.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 x -2)
(/.f64 1 (*.f64 x x))
(pow.f64 (*.f64 x x) -1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (/.f64 1 x) 2)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(sqrt.f64 (/.f64 1 (pow.f64 x 4)))
(sqrt.f64 (pow.f64 x -4))
(log.f64 (exp.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(exp.f64 (log.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(exp.f64 (.f64 (.f64 2 (log.f64 x)) -1))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(exp.f64 (*.f64 (log.f64 (pow.f64 x -2)) 1))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)

localize30.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(.f64 1/6 (.f64 x x))
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 3)
✓	20.9b	(cbrt.f64 (.f64 1/6 (.f64 x x)))

Compiler

Compiled 26 to 14 computations (46.2% saved)

series4.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

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

rewrite65.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1590×	`add-sqr-sqrt`
1554×	`*-un-lft-identity`
1468×	`add-cube-cbrt`
1456×	`add-cbrt-cube`
170×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	207	30
2	2141	30

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs
(cbrt.f64 (.f64 1/6 (.f64 x x)))
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/6))) (cbrt.f64 (*.f64 x (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36))) (cbrt.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/6) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 1/3) (pow.f64 (*.f64 x (sqrt.f64 1/6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/6 x) 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/6))) (*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/6))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/6) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) 1) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 x (sqrt.f64 1/6)))) (cbrt.f64 (*.f64 x (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)))) (cbrt.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 1/6)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/6 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/6 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/6))) 3) (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36))) 3) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 1/6) 3) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))))

simplify77.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1024×	`distribute-rgt-in`
1002×	`distribute-lft-in`
772×	`associate-+r+`
720×	`associate-+l+`
570×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	124	1379
1	271	1347
2	996	1347
3	2385	1347
4	7381	1347

Stop Event

1×	node limit

Counts

59 → 70

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))))) 1)
(.f64 (cbrt.f64 (.f64 1/6 (*.f64 x x))) 1)
(.f64 1 (cbrt.f64 (.f64 1/6 (*.f64 x x))))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/6))) (cbrt.f64 (*.f64 x (sqrt.f64 1/6))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36))) (cbrt.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 1/6))
(*.f64 (cbrt.f64 1/6) (pow.f64 (cbrt.f64 x) 2))
(.f64 (cbrt.f64 (.f64 1/6 x)) (cbrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) 1/3) (cbrt.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 1/6 (*.f64 x x))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 1/6)) 1/3) (pow.f64 (*.f64 x (sqrt.f64 1/6)) 1/3))
(.f64 (pow.f64 (.f64 1/6 x) 1/3) (cbrt.f64 x))
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 1)
(pow.f64 (.f64 1/6 (.f64 x x)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/6))) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))) 3)
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)))
(log.f64 (exp.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))))
(exp.f64 (log.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/6 (*.f64 x x)))) 1))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (*.f64 x x))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/6 (.f64 x x)))) 1)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(.f64 (.f64 x x) 1/6)
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (.f64 1/6 (*.f64 x x)) 1)
(.f64 1 (.f64 1/6 (*.f64 x x)))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/6))) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/6))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36))))
(.f64 (.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/6))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (.f64 1/6 (.f64 x x))))
(.f64 (cbrt.f64 1/6) (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36))))
(.f64 (.f64 1/6 x) x)
(.f64 (.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) 1) (cbrt.f64 (.f64 1/6 (*.f64 x x))))
(.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (.f64 x (sqrt.f64 1/6)))) (cbrt.f64 (*.f64 x (sqrt.f64 1/6))))
(.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))) (cbrt.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))))
(.f64 (.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 1/6)) (pow.f64 (cbrt.f64 x) 2))
(.f64 (.f64 (*.f64 1/6 x) 1) x)
(.f64 (.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (*.f64 1/6 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/6))) 3) (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/6))) 3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36))) 3) (cbrt.f64 (.f64 1/6 (.f64 x x))))
(.f64 (pow.f64 (cbrt.f64 1/6) 3) (.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (.f64 x x)))))
(cbrt.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 x x))))
(exp.f64 (log.f64 (.f64 1/6 (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 x x))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))))) 1)
(cbrt.f64 (.f64 1/6 (.f64 x x)))
(.f64 (cbrt.f64 (.f64 1/6 (*.f64 x x))) 1)
(cbrt.f64 (.f64 1/6 (.f64 x x)))
(.f64 1 (cbrt.f64 (.f64 1/6 (*.f64 x x))))
(cbrt.f64 (.f64 1/6 (.f64 x x)))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/6))) (cbrt.f64 (*.f64 x (sqrt.f64 1/6))))
(cbrt.f64 (.f64 1/6 (.f64 x x)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36))) (cbrt.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 1/6))
(*.f64 (cbrt.f64 1/6) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 1/6))
(.f64 (cbrt.f64 (.f64 1/6 x)) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 1/6 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) 1/3) (cbrt.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 1/6 (*.f64 x x))))
(cbrt.f64 (.f64 1/6 (.f64 x x)))
(.f64 (pow.f64 (.f64 x (sqrt.f64 1/6)) 1/3) (pow.f64 (*.f64 x (sqrt.f64 1/6)) 1/3))
(cbrt.f64 (.f64 1/6 (.f64 x x)))
(.f64 (pow.f64 (.f64 1/6 x) 1/3) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 1/6 x)))
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 1)
(cbrt.f64 (.f64 1/6 (.f64 x x)))
(pow.f64 (.f64 1/6 (.f64 x x)) 1/3)
(cbrt.f64 (.f64 1/6 (.f64 x x)))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/6))) 2)
(cbrt.f64 (.f64 1/6 (.f64 x x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))) 3)
(cbrt.f64 (.f64 1/6 (.f64 x x)))
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)))
(sqrt.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))))
(log.f64 (exp.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))))
(cbrt.f64 (.f64 1/6 (.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))))))
(cbrt.f64 (.f64 1/6 (.f64 x x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))))
(cbrt.f64 (.f64 1/6 (.f64 x x)))
(exp.f64 (log.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))))
(cbrt.f64 (.f64 1/6 (.f64 x x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/6 (*.f64 x x)))) 1))
(cbrt.f64 (.f64 1/6 (.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (*.f64 x x))) 1/3))
(cbrt.f64 (.f64 1/6 (.f64 x x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))))
(cbrt.f64 (.f64 1/6 (.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/6 (.f64 x x)))) 1)
(.f64 1/6 (.f64 x x))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(.f64 1/6 (.f64 x x))
(.f64 (.f64 x x) 1/6)
(.f64 1/6 (.f64 x x))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))))
(.f64 (.f64 1/6 (*.f64 x x)) 1)
(.f64 1/6 (.f64 x x))
(.f64 1 (.f64 1/6 (*.f64 x x)))
(.f64 1/6 (.f64 x x))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/6))) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/6))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36))))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))))
(.f64 (.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)))
(.f64 1/6 (.f64 x x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4)))) 4))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/6))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) 1/6)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 1/6 (cbrt.f64 (pow.f64 x 4))))
(.f64 1/6 (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (.f64 1/6 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))))
(.f64 (cbrt.f64 1/6) (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36))))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 1/6)) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 1/6)))
(.f64 (.f64 1/6 x) x)
(.f64 1/6 (.f64 x x))
(.f64 (.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) 1/6)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 1/6 (cbrt.f64 (pow.f64 x 4))))
(.f64 1/6 (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))
(.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) 1) (cbrt.f64 (.f64 1/6 (*.f64 x x))))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))))
(.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (.f64 x (sqrt.f64 1/6)))) (cbrt.f64 (*.f64 x (sqrt.f64 1/6))))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))))
(.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))) (cbrt.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 (.f64 x x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4)))) 4))
(.f64 (.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 1/6)) (pow.f64 (cbrt.f64 x) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 1/6)) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 1/6)))
(.f64 (.f64 (*.f64 1/6 x) 1) x)
(.f64 1/6 (.f64 x x))
(.f64 (.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 1/6 (.f64 x x))
(.f64 (.f64 (*.f64 1/6 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 1/6 (.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 1/6))) 3) (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/6))) 3))
(.f64 1/6 (.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36))) 3) (cbrt.f64 (.f64 1/6 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))))
(.f64 (pow.f64 (cbrt.f64 1/6) 3) (.f64 x x))
(.f64 1/6 (.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(.f64 1/6 (.f64 x x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))
(.f64 1/6 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (.f64 x x)))))
(.f64 1/6 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 3))
(.f64 1/6 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 x x))))
(.f64 1/6 (.f64 x x))
(exp.f64 (log.f64 (.f64 1/6 (.f64 x x))))
(.f64 1/6 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (*.f64 x x))) 1))
(.f64 1/6 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 x x))))
(.f64 1/6 (.f64 x x))

eval91.0ms (2.1%)

Compiler: Compiled 2064 to 1518 computations (26.5% saved)

prune82.0ms (1.9%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	217	2	219
Fresh	0	1	1
Picked	1	0	1
Done	1	6	7
Total	219	9	228

Error

Counts

228 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.2b	(pow.f64 (/.f64 (/.f64 6 x) x) -1)
✓	8.8b	(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3)) 6)
✓	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
✓	46.2b	(/.f64 (*.f64 x x) 6)
✓	0.1b	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
▶	46.2b	(*.f64 (/.f64 x 6) x)
✓	46.2b	(.f64 x (.f64 x 1/6))
✓	46.2b	(.f64 1/6 (.f64 x x))
	18.0b	-1/2

Compiler

Compiled 64 to 47 computations (26.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 x 6) x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (/.f64 x 6) x)
0.0ms	x	@	inf	(*.f64 (/.f64 x 6) x)
0.0ms	x	@	-inf	(*.f64 (/.f64 x 6) x)

rewrite49.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1232×	`add-sqr-sqrt`
1200×	`*-un-lft-identity`
1134×	`add-cube-cbrt`
1120×	`add-cbrt-cube`
1108×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	129	13
2	1539	13

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(*.f64 (/.f64 x 6) x)

Outputs

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

simplify46.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1556×	`associate-/l*`
1496×	`associate-*r/`
1354×	`associate-*l/`
972×	`associate-r`
964×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	381
1	115	381
2	414	381
3	2458	381

Stop Event

1×	node limit

Counts

29 → 19

Calls

Call 1

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

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

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 6 x) x)
✓	0.3b	(pow.f64 (/.f64 (/.f64 6 x) x) -1)

Compiler

Compiled 19 to 13 computations (31.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite62.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`add-sqr-sqrt`
1668×	`*-un-lft-identity`
1578×	`add-cube-cbrt`
1562×	`add-cbrt-cube`
160×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	177	26
2	2187	26

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

Inputs
(pow.f64 (/.f64 (/.f64 6 x) x) -1)
(/.f64 (/.f64 6 x) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 6) x)) (/.f64 1 (/.f64 (sqrt.f64 6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 2) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/6) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (*.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x -6) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -6 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 6 x))) (/.f64 x (sqrt.f64 (/.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (*.f64 x x)))) (/.f64 x (cbrt.f64 (/.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 6) (/.f64 (sqrt.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 6 x))) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 36 (*.f64 x x)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 6) (/.f64 (cbrt.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 6 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 36 (*.f64 x x)))) (/.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 6 x) -1) (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 6) x) -1) (pow.f64 (/.f64 (sqrt.f64 6) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 6 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 6 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 (sqrt.f64 6) x)) (/.f64 (sqrt.f64 6) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (/.f64 6 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 6 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/6) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 -6 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (/.f64 6 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (/.f64 6 x))) (sqrt.f64 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (cbrt.f64 (/.f64 36 (*.f64 x x)))) (cbrt.f64 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) 2)) (cbrt.f64 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 6 (*.f64 x x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 6 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 6 x)) (*.f64 (sqrt.f64 (/.f64 6 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 6) x) (/.f64 (sqrt.f64 6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 36 (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 6 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) 2) (cbrt.f64 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 6 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -6 x) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 6 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 6 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 6 x)) 1) (/.f64 (sqrt.f64 (/.f64 6 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 6 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 6 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 36 (*.f64 x x))) 1) (/.f64 (cbrt.f64 (/.f64 6 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 36 (*.f64 x x))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 6 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 36 (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 6) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 6 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 6 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 6 (*.f64 x x))))))))

simplify78.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1580×	`associate-+r-`
1314×	`associate-/r*`
1262×	`associate-/l*`
678×	`unswap-sqr`
648×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	200	1683
1	519	1641
2	1727	1641
3	7183	1641

Stop Event

1×	node limit

Counts

109 → 97

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/6 (.f64 x x)))) 1)
(.f64 x (.f64 x 1/6))
(.f64 (.f64 1/6 (*.f64 x x)) 1)
(.f64 1 (.f64 1/6 (*.f64 x x)))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 6) x)) (/.f64 1 (/.f64 (sqrt.f64 6) x)))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (pow.f64 (cbrt.f64 (.f64 1/6 (*.f64 x x))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 2) (cbrt.f64 (.f64 1/6 (*.f64 x x))))
(.f64 (.f64 x 1/6) x)
(.f64 (/.f64 x 1) (.f64 x 1/6))
(*.f64 (/.f64 x -6) (neg.f64 x))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (/.f64 x (/.f64 1 x)))
(*.f64 (/.f64 1 (/.f64 -6 x)) (neg.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 6 x))) (/.f64 x (sqrt.f64 (/.f64 6 x))))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (.f64 x x)))) (/.f64 x (cbrt.f64 (/.f64 6 x))))
(*.f64 (/.f64 (sqrt.f64 x) 6) (/.f64 (sqrt.f64 x) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 6 x)))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 6 x))) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 6 x))))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 36 (.f64 x x)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 6 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 6) (/.f64 (cbrt.f64 x) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 6 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 6 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 6 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 36 (.f64 x x)))) (/.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 6 x))))
(*.f64 (pow.f64 (/.f64 6 x) -1) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 6) x) -1) (pow.f64 (/.f64 (sqrt.f64 6) x) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 6 (.f64 x x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) -1))
(/.f64 x (/.f64 6 x))
(/.f64 -1 (neg.f64 (/.f64 6 (*.f64 x x))))
(/.f64 1 (/.f64 6 (*.f64 x x)))
(/.f64 1 (/.f64 (/.f64 6 (*.f64 x x)) 1))
(/.f64 (/.f64 1 (/.f64 (sqrt.f64 6) x)) (/.f64 (sqrt.f64 6) x))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 6 x) (sqrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 6 x) (cbrt.f64 x)))
(/.f64 (*.f64 x 1/6) (/.f64 1 x))
(/.f64 (neg.f64 x) (/.f64 -6 x))
(/.f64 (/.f64 x 1) (/.f64 6 x))
(/.f64 (/.f64 x (sqrt.f64 (/.f64 6 x))) (sqrt.f64 (/.f64 6 x)))
(/.f64 (/.f64 x (cbrt.f64 (/.f64 36 (*.f64 x x)))) (cbrt.f64 (/.f64 6 x)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 6 (.f64 x x))) 2)) (cbrt.f64 (/.f64 6 (.f64 x x))))
(sqrt.f64 (pow.f64 (/.f64 6 (*.f64 x x)) -2))
(log.f64 (exp.f64 (.f64 1/6 (.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (.f64 x x)))))
(cbrt.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 x x))))
(exp.f64 (log.f64 (.f64 1/6 (.f64 x x))))
(exp.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 6 x))))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 6 (*.f64 x x)))) 1)
(.f64 6 (.f64 (/.f64 1 x) (/.f64 1 x)))
(.f64 6 (/.f64 1 (.f64 x x)))
(*.f64 6 (/.f64 (/.f64 1 x) x))
(*.f64 (/.f64 6 x) (/.f64 1 x))
(.f64 (/.f64 6 (.f64 x x)) 1)
(.f64 1 (/.f64 6 (.f64 x x)))
(.f64 (sqrt.f64 (/.f64 6 x)) (.f64 (sqrt.f64 (/.f64 6 x)) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 6) x) (/.f64 (sqrt.f64 6) x))
(.f64 (cbrt.f64 (/.f64 36 (.f64 x x))) (*.f64 (cbrt.f64 (/.f64 6 x)) (/.f64 1 x)))
(.f64 (cbrt.f64 (/.f64 6 (.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 6 (.f64 x x))) 2) (cbrt.f64 (/.f64 6 (*.f64 x x))))
(*.f64 (/.f64 1 x) (/.f64 6 x))
(*.f64 (/.f64 -6 x) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 6 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 6 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 6 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 6 x) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 6 x)) 1) (/.f64 (sqrt.f64 (/.f64 6 x)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 6 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 6 x)) (cbrt.f64 x)))
(.f64 (/.f64 (cbrt.f64 (/.f64 36 (.f64 x x))) 1) (/.f64 (cbrt.f64 (/.f64 6 x)) x))
(.f64 (/.f64 (cbrt.f64 (/.f64 36 (.f64 x x))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 6 x)) (sqrt.f64 x)))
(.f64 (/.f64 (cbrt.f64 (/.f64 36 (.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 6 (*.f64 x x))))
(pow.f64 (/.f64 6 (*.f64 x x)) 1)
(pow.f64 (.f64 1/6 (.f64 x x)) -1)
(pow.f64 (/.f64 (sqrt.f64 6) x) 2)
(pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3) 1/3)
(neg.f64 (/.f64 (/.f64 6 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 6 (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 6 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (/.f64 6 (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 6 (*.f64 x x))))
(exp.f64 (.f64 (log.f64 (/.f64 6 (.f64 x x))) 1))
(log1p.f64 (expm1.f64 (/.f64 6 (*.f64 x x))))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(-.f64 (exp.f64 (log1p.f64 (.f64 1/6 (.f64 x x)))) 1)
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(.f64 (.f64 1/6 (*.f64 x x)) 1)
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(.f64 1 (.f64 1/6 (*.f64 x x)))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 6) x)) (/.f64 1 (/.f64 (sqrt.f64 6) x)))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (pow.f64 (cbrt.f64 (.f64 1/6 (*.f64 x x))) 2))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 2) (cbrt.f64 (.f64 1/6 (*.f64 x x))))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(.f64 (.f64 x 1/6) x)
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(.f64 (/.f64 x 1) (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(*.f64 (/.f64 x -6) (neg.f64 x))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(*.f64 1/6 (/.f64 x (/.f64 1 x)))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(*.f64 (/.f64 1 (/.f64 -6 x)) (neg.f64 x))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 6 x))) (/.f64 x (sqrt.f64 (/.f64 6 x))))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (.f64 x x)))) (/.f64 x (cbrt.f64 (/.f64 6 x))))
(/.f64 x (*.f64 (cbrt.f64 (/.f64 (/.f64 36 x) x)) (cbrt.f64 (/.f64 6 x))))
(/.f64 x (.f64 (cbrt.f64 (/.f64 36 (.f64 x x))) (cbrt.f64 (/.f64 6 x))))
(*.f64 (/.f64 (sqrt.f64 x) 6) (/.f64 (sqrt.f64 x) (/.f64 1 x)))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 6 x)))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 6 x))) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 6 x))))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 36 (.f64 x x)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 6 x))))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (.f64 x x)))) (/.f64 x (cbrt.f64 (/.f64 6 x))))
(/.f64 x (*.f64 (cbrt.f64 (/.f64 (/.f64 36 x) x)) (cbrt.f64 (/.f64 6 x))))
(/.f64 x (.f64 (cbrt.f64 (/.f64 36 (.f64 x x))) (cbrt.f64 (/.f64 6 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 6) (/.f64 (cbrt.f64 x) (/.f64 1 x)))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 6 x)))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 6 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 6 x))))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 36 (.f64 x x)))) (/.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 6 x))))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (.f64 x x)))) (/.f64 x (cbrt.f64 (/.f64 6 x))))
(/.f64 x (*.f64 (cbrt.f64 (/.f64 (/.f64 36 x) x)) (cbrt.f64 (/.f64 6 x))))
(/.f64 x (.f64 (cbrt.f64 (/.f64 36 (.f64 x x))) (cbrt.f64 (/.f64 6 x))))
(*.f64 (pow.f64 (/.f64 6 x) -1) (pow.f64 (/.f64 1 x) -1))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 6) x) -1) (pow.f64 (/.f64 (sqrt.f64 6) x) -1))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 6 (.f64 x x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) -1))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(/.f64 x (/.f64 6 x))
(.f64 1/6 (.f64 x x))
(/.f64 -1 (neg.f64 (/.f64 6 (*.f64 x x))))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(/.f64 1 (/.f64 6 (*.f64 x x)))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(/.f64 1 (/.f64 (/.f64 6 (*.f64 x x)) 1))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(/.f64 (/.f64 1 (/.f64 (sqrt.f64 6) x)) (/.f64 (sqrt.f64 6) x))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 6 x) (sqrt.f64 x)))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 6 x) (cbrt.f64 x)))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(/.f64 (*.f64 x 1/6) (/.f64 1 x))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(/.f64 (neg.f64 x) (/.f64 -6 x))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(/.f64 (/.f64 x 1) (/.f64 6 x))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(/.f64 (/.f64 x (sqrt.f64 (/.f64 6 x))) (sqrt.f64 (/.f64 6 x)))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(/.f64 (/.f64 x (cbrt.f64 (/.f64 36 (*.f64 x x)))) (cbrt.f64 (/.f64 6 x)))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (.f64 x x)))) (/.f64 x (cbrt.f64 (/.f64 6 x))))
(/.f64 x (*.f64 (cbrt.f64 (/.f64 (/.f64 36 x) x)) (cbrt.f64 (/.f64 6 x))))
(/.f64 x (.f64 (cbrt.f64 (/.f64 36 (.f64 x x))) (cbrt.f64 (/.f64 6 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 6 (.f64 x x))) 2)) (cbrt.f64 (/.f64 6 (.f64 x x))))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(sqrt.f64 (pow.f64 (/.f64 6 (*.f64 x x)) -2))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(log.f64 (exp.f64 (.f64 1/6 (.f64 x x))))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (.f64 x x)))))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(cbrt.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 3))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 x x))))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(exp.f64 (log.f64 (.f64 1/6 (.f64 x x))))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(exp.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 6 x))))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (*.f64 x x))) 1))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 x x))))
(.f64 1/6 (.f64 x x))
(/.f64 x (/.f64 6 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 6 (*.f64 x x)))) 1)
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(.f64 6 (.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(.f64 6 (/.f64 1 (.f64 x x)))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(*.f64 6 (/.f64 (/.f64 1 x) x))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(*.f64 (/.f64 6 x) (/.f64 1 x))
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(/.f64 (/.f64 6 x) x)
(.f64 (/.f64 6 (.f64 x x)) 1)
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(.f64 1 (/.f64 6 (.f64 x x)))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(.f64 (sqrt.f64 (/.f64 6 x)) (.f64 (sqrt.f64 (/.f64 6 x)) (/.f64 1 x)))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(*.f64 (/.f64 (sqrt.f64 6) x) (/.f64 (sqrt.f64 6) x))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(.f64 (cbrt.f64 (/.f64 36 (.f64 x x))) (*.f64 (cbrt.f64 (/.f64 6 x)) (/.f64 1 x)))
(.f64 (cbrt.f64 (/.f64 36 (.f64 x x))) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 6 x))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 36 x) x)) (/.f64 (cbrt.f64 (/.f64 6 x)) x))
(.f64 (cbrt.f64 (/.f64 36 (.f64 x x))) (/.f64 (cbrt.f64 (/.f64 6 x)) x))
(.f64 (cbrt.f64 (/.f64 6 (.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) 2))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(.f64 (pow.f64 (cbrt.f64 (/.f64 6 (.f64 x x))) 2) (cbrt.f64 (/.f64 6 (*.f64 x x))))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(*.f64 (/.f64 1 x) (/.f64 6 x))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(*.f64 (/.f64 -6 x) (/.f64 1 (neg.f64 x)))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(*.f64 (/.f64 6 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(*.f64 (/.f64 6 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(/.f64 6 (*.f64 x x))
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(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 6 x) (sqrt.f64 x)))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 6 x) (cbrt.f64 x)))
(/.f64 6 (*.f64 x x))
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(*.f64 (/.f64 (sqrt.f64 (/.f64 6 x)) 1) (/.f64 (sqrt.f64 (/.f64 6 x)) x))
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(*.f64 (/.f64 (sqrt.f64 (/.f64 6 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 6 x)) (cbrt.f64 x)))
(/.f64 6 (*.f64 x x))
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(.f64 (/.f64 (cbrt.f64 (/.f64 36 (.f64 x x))) 1) (/.f64 (cbrt.f64 (/.f64 6 x)) x))
(.f64 (cbrt.f64 (/.f64 36 (.f64 x x))) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 6 x))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 36 x) x)) (/.f64 (cbrt.f64 (/.f64 6 x)) x))
(.f64 (cbrt.f64 (/.f64 36 (.f64 x x))) (/.f64 (cbrt.f64 (/.f64 6 x)) x))
(.f64 (/.f64 (cbrt.f64 (/.f64 36 (.f64 x x))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 6 x)) (sqrt.f64 x)))
(.f64 (cbrt.f64 (/.f64 36 (.f64 x x))) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 6 x))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 36 x) x)) (/.f64 (cbrt.f64 (/.f64 6 x)) x))
(.f64 (cbrt.f64 (/.f64 36 (.f64 x x))) (/.f64 (cbrt.f64 (/.f64 6 x)) x))
(.f64 (/.f64 (cbrt.f64 (/.f64 36 (.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 6 (*.f64 x x))))
(.f64 (cbrt.f64 (/.f64 6 (.f64 x x))) (/.f64 (cbrt.f64 (/.f64 36 (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (cbrt.f64 (/.f64 6 (.f64 x x))) (/.f64 (cbrt.f64 (/.f64 (/.f64 36 x) x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (cbrt.f64 (/.f64 36 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (/.f64 6 x) x))))
(pow.f64 (/.f64 6 (*.f64 x x)) 1)
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(pow.f64 (.f64 1/6 (.f64 x x)) -1)
(/.f64 6 (*.f64 x x))
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(pow.f64 (/.f64 (sqrt.f64 6) x) 2)
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(pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) 3)
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(pow.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3) 1/3)
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(neg.f64 (/.f64 (/.f64 6 x) (neg.f64 x)))
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(sqrt.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 2))
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(log.f64 (exp.f64 (/.f64 6 (*.f64 x x))))
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(/.f64 (/.f64 6 x) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 6 (*.f64 x x)))))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(cbrt.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(expm1.f64 (log1p.f64 (/.f64 6 (*.f64 x x))))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(exp.f64 (log.f64 (/.f64 6 (*.f64 x x))))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(exp.f64 (.f64 (log.f64 (/.f64 6 (.f64 x x))) 1))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)
(log1p.f64 (expm1.f64 (/.f64 6 (*.f64 x x))))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 x) x)

eval35.0ms (0.8%)

Compiler: Compiled 1218 to 817 computations (32.9% saved)

prune16.0ms (0.4%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	1	1
Picked	1	0	1
Done	2	5	7
Total	118	7	125

Error

Counts

125 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
	46.2b	(/.f64 x (/.f64 6 x))
✓	0.1b	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
✓	46.2b	(*.f64 (/.f64 x 6) x)
✓	46.2b	(.f64 x (.f64 x 1/6))
✓	46.2b	(.f64 1/6 (.f64 x x))
	18.0b	-1/2

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes291.0ms (6.7%)

Counts

17 → 1

Calls

Call 1

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

Outputs
(/.f64 (fma.f64 x x -3) 6)

Calls

4 calls:

269.0ms	(*.f64 x x)
12.0ms	x
3.0ms	(/.f64 (-.f64 (*.f64 x x) 3) 6)
3.0ms	(-.f64 (*.f64 x x) 3)

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(/.f64 (-.f64 (*.f64 x x) 3) 6)`
0.1b	1	`(-.f64 (*.f64 x x) 3)`
0.1b	1	`(*.f64 x x)`

Compiler

Compiled 148 to 99 computations (33.1% saved)

regimes18.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

Inputs
-1/2
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(*.f64 (/.f64 x 6) x)
(/.f64 x (/.f64 6 x))
(/.f64 (*.f64 x x) 6)
(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (/.f64 1 (/.f64 1 (*.f64 x x))) 6)

Outputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)

Calls

4 calls:

6.0ms	x
4.0ms	(*.f64 x x)
2.0ms	(/.f64 (-.f64 (*.f64 x x) 3) 6)
2.0ms	(-.f64 (*.f64 x x) 3)

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(/.f64 (-.f64 (*.f64 x x) 3) 6)`
0.1b	1	`(-.f64 (*.f64 x x) 3)`
0.1b	1	`(*.f64 x x)`

Compiler

Compiled 70 to 43 computations (38.6% saved)

regimes13.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

Inputs
-1/2
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(*.f64 (/.f64 x 6) x)
(/.f64 x (/.f64 6 x))
(/.f64 (*.f64 x x) 6)
(-.f64 (.f64 (.f64 x x) 1/6) 1/2)

Outputs
(-.f64 (.f64 (.f64 x x) 1/6) 1/2)

Calls

2 calls:

8.0ms	x
3.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 40 to 23 computations (42.5% saved)

regimes21.0ms (0.5%)

Counts

6 → 3

Calls

Call 1

Inputs
-1/2
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(*.f64 (/.f64 x 6) x)
(/.f64 x (/.f64 6 x))
(/.f64 (*.f64 x x) 6)

Outputs
(/.f64 (*.f64 x x) 6)
-1/2
(/.f64 x (/.f64 6 x))

Calls

2 calls:

14.0ms	x
6.0ms	(*.f64 x x)

Results

Error	Segments	Branch
1.6b	3	`x`
1.6b	2	`(*.f64 x x)`

Compiler

Compiled 33 to 19 computations (42.4% saved)

bsearch28.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	0.8573397825831572	3736.0971987569246
14.0ms	-10.953227090185171	-0.022462888100220194

Results

23.0ms

256×

body

256

valid

Compiler

Compiled 172 to 137 computations (20.3% saved)

regimes20.0ms (0.5%)

Counts

5 → 3

Calls

Call 1

Inputs
-1/2
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(*.f64 (/.f64 x 6) x)
(/.f64 x (/.f64 6 x))

Outputs
(*.f64 (/.f64 x 6) x)
-1/2
(/.f64 x (/.f64 6 x))

Calls

2 calls:

12.0ms	x
6.0ms	(*.f64 x x)

Results

Error	Segments	Branch
1.6b	3	`x`
1.6b	2	`(*.f64 x x)`

Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch31.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.8573397825831572	3736.0971987569246
15.0ms	-10.953227090185171	-0.022462888100220194

Results

28.0ms

256×

body

256

valid

Compiler

Compiled 172 to 137 computations (20.3% saved)

regimes17.0ms (0.4%)

Counts

4 → 2

Calls

Call 1

Inputs
-1/2
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(*.f64 (/.f64 x 6) x)

Outputs
-1/2
(*.f64 (/.f64 x 6) x)

Calls

2 calls:

10.0ms	x
5.0ms	(*.f64 x x)

Results

Error	Segments	Branch
1.6b	3	`x`
1.6b	2	`(*.f64 x x)`

Compiler

Compiled 23 to 14 computations (39.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.7350315027997353	119.97318368916632

Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.4%)

Counts

3 → 2

Calls

Call 1

Inputs
-1/2
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))

Outputs
-1/2
(.f64 x (.f64 x 1/6))

Calls

2 calls:

10.0ms	x
4.0ms	(*.f64 x x)

Results

Error	Segments	Branch
1.6b	3	`x`
1.6b	2	`(*.f64 x x)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.7350315027997353	119.97318368916632

Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.4%)

Accuracy

Total -60.9b remaining (-3695.6%)

Threshold costs -60.9b (-3695.6%)

Counts

2 → 2

Calls

Call 1

Inputs
-1/2
(.f64 1/6 (.f64 x x))

Outputs
-1/2
(.f64 1/6 (.f64 x x))

Calls

2 calls:

11.0ms	x
4.0ms	(*.f64 x x)

Results

Error	Segments	Branch
1.6b	3	`x`
1.6b	2	`(*.f64 x x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch11.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
11.0ms	0.7350315027997353	119.97318368916632

Results

8.0ms

112×

body

256

valid

Compiler

Compiled 68 to 58 computations (14.7% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`
4×	`sub-neg`
4×	`+-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	231
1	52	231
2	54	231

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (fma.f64 x x -3) 6)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
(if (<=.f64 x -7/4) (/.f64 (*.f64 x x) 6) (if (<=.f64 x 7/4) -1/2 (/.f64 x (/.f64 6 x))))
(if (<=.f64 x -7/4) (*.f64 (/.f64 x 6) x) (if (<=.f64 x 7/4) -1/2 (/.f64 x (/.f64 6 x))))
(if (<=.f64 (.f64 x x) 1) -1/2 (.f64 (/.f64 x 6) x))
(if (<=.f64 (.f64 x x) 1) -1/2 (.f64 x (*.f64 x 1/6)))
(if (<=.f64 (.f64 x x) 3) -1/2 (.f64 1/6 (*.f64 x x)))
-1/2

Outputs
(/.f64 (fma.f64 x x -3) 6)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (+.f64 (*.f64 x x) -3) 6)
(/.f64 (+.f64 -3 (*.f64 x x)) 6)
(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
(+.f64 (.f64 (.f64 x x) 1/6) -1/2)
(if (<=.f64 x -7/4) (/.f64 (*.f64 x x) 6) (if (<=.f64 x 7/4) -1/2 (/.f64 x (/.f64 6 x))))
(if (<=.f64 x -7/4) (*.f64 (/.f64 x 6) x) (if (<=.f64 x 7/4) -1/2 (/.f64 x (/.f64 6 x))))
(if (<=.f64 x -7/4) (*.f64 x (/.f64 x 6)) (if (<=.f64 x 7/4) -1/2 (/.f64 x (/.f64 6 x))))
(if (<=.f64 (.f64 x x) 1) -1/2 (.f64 (/.f64 x 6) x))
(if (<=.f64 (.f64 x x) 1) -1/2 (.f64 x (/.f64 x 6)))
(if (<=.f64 (.f64 x x) 1) -1/2 (.f64 x (*.f64 x 1/6)))
(if (<=.f64 (.f64 x x) 3) -1/2 (.f64 1/6 (*.f64 x x)))
(if (<=.f64 (.f64 x x) 3) -1/2 (.f64 (*.f64 x x) 1/6))
-1/2

Compiler

Compiled 104 to 73 computations (29.8% saved)

soundness14.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def`
4×	`sub-neg`
4×	`+-commutative`
2×	`associate-/l*`
2×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	18	15
2	24	15
3	27	15
4	29	15
5	30	15

Stop Event

1×

saturated

Compiler

Compiled 21 to 15 computations (28.6% saved)

end90.0ms (2.1%)

Compiler: Compiled 96 to 60 computations (37.5% saved)