Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	25%	0%	0%	4
83.3%	62.5%	12.5%	0%	25%	0%	0%	5
91.7%	68.7%	6.2%	0%	25%	0%	0%	6
95.8%	71.8%	3.1%	0%	25%	0%	0%	7
97.9%	73.4%	1.6%	0%	25%	0%	0%	8
99%	74.2%	0.8%	0%	25%	0%	0%	9
99.5%	74.6%	0.4%	0%	25%	0%	0%	10
99.7%	74.8%	0.2%	0%	25%	0%	0%	11
99.9%	74.9%	0.1%	0%	25%	0%	0%	12

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample709.0ms (31%)

Results

699.0ms	8256×	body	256	valid
0.0ms	8×	body	256	infinite

Bogosity

preprocess15.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`associate-l_binary64`
1×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	11	7
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(.f64 (.f64 x 3) x)

Outputs
(.f64 (.f64 x 3) x)
(.f64 x (.f64 x 3))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`associate-l_binary64`
1×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	11	7

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (.f64 x 3) x)

Outputs
(.f64 (.f64 x 3) x)
(.f64 x (.f64 x 3))

eval0.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f64 (.f64 x 3) x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x 3) x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite34.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

446×	`pow1_binary64`
430×	`add-sqr-sqrt_binary64`
423×	`*-un-lft-identity_binary64`
412×	`add-log-exp_binary64`
412×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	101	7
2	1132	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 (.f64 x 3) x)

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

Outputs

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

simplify38.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

830×	`log-prod_binary64`
393×	`associate-l_binary64`
348×	`*-commutative_binary64`
323×	`associate-r_binary64`
259×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	216
1	94	206
2	357	191
3	2895	191
4	5767	191

Stop Event

1×	node limit

Counts

26 → 19

Calls

Call 1

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

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

eval4.0ms (0.2%)

Compiler: Compiled 199 to 139 computations (30.2% saved)

prune4.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	15	4	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	5	20

Error

0.0b

Counts

20 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
▶	0.9b	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
✓	0.2b	(.f64 (.f64 x 3) x)
▶	0.2b	(.f64 3 (.f64 x x))
▶	26.8b	(cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 3))

Compiler

Compiled 39 to 29 computations (25.6% saved)

localize11.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 x 3))
✓	0.2b	(pow.f64 (.f64 x (.f64 x 3)) 3)
✓	25.9b	(cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 3))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite43.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

564×	`pow1_binary64`
531×	`add-log-exp_binary64`
531×	`log1p-expm1-u_binary64`
531×	`expm1-log1p-u_binary64`
516×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	151	24
2	1554	24

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 3))
(pow.f64 (.f64 x (.f64 x 3)) 3)
(.f64 x (.f64 x 3))

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

Outputs

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

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

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

simplify47.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

651×	`fma-def_binary64`
483×	`cube-prod_binary64`
462×	`fabs-mul_binary64`
456×	`exp-prod_binary64`
422×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	762
1	313	762
2	1029	762
3	3015	762

Stop Event

1×	node limit

Counts

106 → 66

Calls

Call 1

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

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

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 3 (.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite36.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`pow1_binary64`
419×	`add-sqr-sqrt_binary64`
411×	`*-un-lft-identity_binary64`
400×	`add-log-exp_binary64`
400×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1146	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 3 (.f64 x x))

Outputs

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

simplify41.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1127×	`log-prod_binary64`
440×	`associate-l_binary64`
387×	`associate-r_binary64`
335×	`associate-+l+_binary64`
304×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	182
1	107	182
2	389	182
3	3098	182
4	6859	182

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

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

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

localize11.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(.f64 x (.f64 x 3))
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
✓	17.8b	(cbrt.f64 (.f64 x (.f64 x 3)))

Compiler

Compiled 25 to 17 computations (32% saved)

series5.0ms (0.2%)

Counts

2 → 0

Calls

6 calls:

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

rewrite43.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`pow1_binary64`
521×	`add-log-exp_binary64`
521×	`log1p-expm1-u_binary64`
521×	`expm1-log1p-u_binary64`
508×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	149	16
2	1487	16

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(cbrt.f64 (.f64 x (.f64 x 3)))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)

Outputs

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

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

simplify57.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

566×	`log-prod_binary64`
441×	`fma-neg_binary64`
340×	`distribute-rgt-in_binary64`
326×	`distribute-lft-in_binary64`
324×	`associate-+l+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	112	945
1	254	812
2	836	701
3	2283	686
4	6995	656

Stop Event

1×	node limit

Counts

56 → 81

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (cbrt.f64 (.f64 x (.f64 x 3)))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 0)
(cbrt.f64 (.f64 3 (.f64 x x)))
(.f64 (cbrt.f64 (.f64 x (*.f64 x 3))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 0)
(cbrt.f64 (.f64 3 (.f64 x x)))
(.f64 1 (cbrt.f64 (.f64 x (*.f64 x 3))))
(+.f64 1 (-.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 0)
(cbrt.f64 (.f64 3 (.f64 x x)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (*.f64 x 3)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (*.f64 x x)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) (pow.f64 (cbrt.f64 (pow.f64 (.f64 x (*.f64 x 3)) 2)) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (*.f64 x x)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (*.f64 x 3)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))) (cbrt.f64 (cbrt.f64 (.f64 x (*.f64 x 3)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (*.f64 x x)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (*.f64 x 3)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4)))))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x 3)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 3))
(.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 x))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x 3)))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) (cbrt.f64 (*.f64 x (sqrt.f64 3))))
(+.f64 1 (-.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 0)
(cbrt.f64 (.f64 3 (.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (.f64 x (*.f64 x 3)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (*.f64 x x)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (*.f64 x 3)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x (*.f64 x 3))))
(+.f64 1 (-.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 0)
(cbrt.f64 (.f64 3 (.f64 x x)))
(.f64 (pow.f64 (.f64 x x) 1/3) (cbrt.f64 3))
(.f64 (cbrt.f64 3) (cbrt.f64 (.f64 x x)))
(.f64 (pow.f64 (.f64 x (sqrt.f64 3)) 1/3) (pow.f64 (*.f64 x (sqrt.f64 3)) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 0)
(cbrt.f64 (.f64 3 (.f64 x x)))
(pow.f64 (.f64 x (.f64 x 3)) 1/3)
(+.f64 1 (-.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 0)
(cbrt.f64 (.f64 3 (.f64 x x)))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 0)
(cbrt.f64 (.f64 3 (.f64 x x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 0)
(cbrt.f64 (.f64 3 (.f64 x x)))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) 2)
(+.f64 1 (-.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 0)
(cbrt.f64 (.f64 3 (.f64 x x)))
(sqrt.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)))
(sqrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 x x)) 2)))
(sqrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 (cbrt.f64 x) 12))))
(sqrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))))
(log.f64 (exp.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))
(+.f64 1 (-.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 0)
(cbrt.f64 (.f64 3 (.f64 x x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))
(+.f64 1 (-.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 0)
(cbrt.f64 (.f64 3 (.f64 x x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))
(+.f64 1 (-.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 0)
(cbrt.f64 (.f64 3 (.f64 x x)))
(exp.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))
(+.f64 1 (-.f64 (cbrt.f64 (.f64 3 (.f64 x x))) 1))
(+.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 0)
(cbrt.f64 (.f64 3 (.f64 x x)))
(-.f64 (+.f64 1 (.f64 x (.f64 x 3))) 1)
(+.f64 1 (-.f64 (.f64 3 (.f64 x x)) 1))
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 3 (.f64 x x))
(.f64 x (.f64 x 3))
(+.f64 1 (-.f64 (.f64 3 (.f64 x x)) 1))
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 3 (.f64 x x))
(.f64 3 (.f64 x x))
(+.f64 1 (-.f64 (.f64 3 (.f64 x x)) 1))
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 (.f64 x 3) x)
(+.f64 1 (-.f64 (.f64 3 (.f64 x x)) 1))
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 3 (.f64 x x))
(.f64 (.f64 x (*.f64 x 3)) 1)
(+.f64 1 (-.f64 (.f64 3 (.f64 x x)) 1))
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 3 (.f64 x x))
(.f64 (cbrt.f64 (.f64 x (.f64 x 3))) (cbrt.f64 (pow.f64 (.f64 x (*.f64 x 3)) 2)))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 3 (*.f64 x x)) 2)))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12))) (cbrt.f64 (.f64 3 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) (cbrt.f64 (.f64 3 (.f64 x x))))
(.f64 1 (.f64 x (*.f64 x 3)))
(+.f64 1 (-.f64 (.f64 3 (.f64 x x)) 1))
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 3 (.f64 x x))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (cbrt.f64 (.f64 x (*.f64 x 3))))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 3 (*.f64 x x)) 2)))
(.f64 (cbrt.f64 (.f64 x (.f64 x 3))) (cbrt.f64 (pow.f64 (.f64 x (*.f64 x 3)) 2)))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12))) (cbrt.f64 (.f64 3 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) (cbrt.f64 (.f64 3 (.f64 x x))))
(.f64 (.f64 x x) 3)
(+.f64 1 (-.f64 (.f64 3 (.f64 x x)) 1))
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 3 (.f64 x x))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 x x)) 2))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) (cbrt.f64 (pow.f64 (.f64 3 (.f64 x x)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (*.f64 x 3)) 2))) 4))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (*.f64 x x)) 2))) 4))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12)))) 4))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4)))) 4))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x 3)) (cbrt.f64 (pow.f64 (.f64 x (*.f64 x 3)) 2))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 x x)) 2)) (cbrt.f64 (*.f64 x 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 x x)) 2)) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 3))))
(.f64 (cbrt.f64 (.f64 x 3)) (.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12))) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 x 3)) (.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) (cbrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x 3)))
(+.f64 1 (-.f64 (.f64 3 (.f64 x x)) 1))
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 3 (.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 3)) 2) (.f64 (cbrt.f64 (.f64 x 3)) x))
(+.f64 1 (-.f64 (.f64 3 (.f64 x x)) 1))
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 3 (.f64 x x))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) (.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 3 (*.f64 x x)) 2)))
(.f64 (cbrt.f64 (.f64 x (.f64 x 3))) (cbrt.f64 (pow.f64 (.f64 x (*.f64 x 3)) 2)))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12))) (cbrt.f64 (.f64 3 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) (cbrt.f64 (.f64 3 (.f64 x x))))
(.f64 (.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
(+.f64 1 (-.f64 (.f64 3 (.f64 x x)) 1))
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 3 (.f64 x x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x 3)))
(+.f64 1 (-.f64 (.f64 3 (.f64 x x)) 1))
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 3 (.f64 x x))
(.f64 (sqrt.f64 (.f64 x 3)) (.f64 (sqrt.f64 (.f64 x 3)) x))
(+.f64 1 (-.f64 (.f64 3 (.f64 x x)) 1))
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 3 (.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))) 3) (cbrt.f64 (.f64 x (*.f64 x 3))))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 3 (*.f64 x x)) 2)))
(.f64 (cbrt.f64 (.f64 x (.f64 x 3))) (cbrt.f64 (pow.f64 (.f64 x (*.f64 x 3)) 2)))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12))) (cbrt.f64 (.f64 3 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) (cbrt.f64 (.f64 3 (.f64 x x))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 3))) 3) (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) 3))
(+.f64 1 (-.f64 (.f64 3 (.f64 x x)) 1))
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 3 (.f64 x x))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 3)) 2)) (cbrt.f64 (.f64 x 3)))
(+.f64 1 (-.f64 (.f64 3 (.f64 x x)) 1))
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 3 (.f64 x x))
(.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)))
(+.f64 1 (-.f64 (.f64 3 (.f64 x x)) 1))
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 3 (.f64 x x))
(.f64 (.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(+.f64 1 (-.f64 (.f64 3 (.f64 x x)) 1))
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 3 (.f64 x x))
(.f64 (.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 1 (-.f64 (.f64 3 (.f64 x x)) 1))
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 3 (.f64 x x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) 1) (cbrt.f64 (.f64 x (.f64 x 3))))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 3 (*.f64 x x)) 2)))
(.f64 (cbrt.f64 (.f64 x (.f64 x 3))) (cbrt.f64 (pow.f64 (.f64 x (*.f64 x 3)) 2)))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12))) (cbrt.f64 (.f64 3 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) (cbrt.f64 (.f64 3 (.f64 x x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)))) (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 x x)) 2))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) (cbrt.f64 (pow.f64 (.f64 3 (.f64 x x)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 x 3)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (*.f64 x 3)) 2))) 4))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 3 (*.f64 x x)) 2))) 4))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12)))) 4))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 3 (.f64 x x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4)))) 4))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (cbrt.f64 x)) (cbrt.f64 (*.f64 x 3)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 x x)) 2)) (cbrt.f64 (*.f64 x 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 3 (.f64 x x)) 2)) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 3))))
(.f64 (cbrt.f64 (.f64 x 3)) (.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12))) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 x 3)) (.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) (cbrt.f64 x)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2)) (cbrt.f64 (.f64 x (sqrt.f64 3)))) (cbrt.f64 (.f64 x (sqrt.f64 3))))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 3 (*.f64 x x)) 2)))
(.f64 (cbrt.f64 (.f64 x (.f64 x 3))) (cbrt.f64 (pow.f64 (.f64 x (*.f64 x 3)) 2)))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 12))) (cbrt.f64 (.f64 3 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) (cbrt.f64 (.f64 3 (.f64 x x))))
(sqrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 2))
(+.f64 1 (-.f64 (.f64 3 (.f64 x x)) 1))
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 3 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))
(+.f64 1 (-.f64 (.f64 3 (.f64 x x)) 1))
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 3 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 3))
(+.f64 1 (-.f64 (.f64 3 (.f64 x x)) 1))
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 3 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 3))))
(+.f64 1 (-.f64 (.f64 3 (.f64 x x)) 1))
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 3 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 3))))
(+.f64 1 (-.f64 (.f64 3 (.f64 x x)) 1))
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 3 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x 3))))
(+.f64 1 (-.f64 (.f64 3 (.f64 x x)) 1))
(+.f64 (.f64 x (.f64 x 3)) 0)
(.f64 3 (.f64 x x))

localize11.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(.f64 x (.f64 x 3))
✓	0.4b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
✓	17.0b	(sqrt.f64 (.f64 x (.f64 x 3)))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite42.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

590×	`pow1_binary64`
549×	`add-log-exp_binary64`
548×	`log1p-expm1-u_binary64`
548×	`expm1-log1p-u_binary64`
537×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	167	13
2	1590	13

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(sqrt.f64 (.f64 x (.f64 x 3)))
(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)

Outputs

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

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

simplify41.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

536×	`distribute-rgt-in_binary64`
509×	`distribute-lft-in_binary64`
509×	`fma-def_binary64`
471×	`log-prod_binary64`
315×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	812
1	278	622
2	1053	614
3	3282	610

Stop Event

1×	node limit

Counts

78 → 71

Calls

Call 1

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

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

eval60.0ms (2.6%)

Compiler: Compiled 2640 to 1907 computations (27.8% saved)

prune29.0ms (1.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	231	5	236
Fresh	0	0	0
Picked	0	1	1
Done	2	2	4
Total	233	8	241

Error

Counts

241 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
✓	0.4b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
▶	0.6b	(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
▶	0.7b	(.f64 (.f64 (.f64 x (sqrt.f64 3)) (cbrt.f64 (.f64 x (.f64 x 3)))) (cbrt.f64 (.f64 x (sqrt.f64 3))))
▶	0.7b	(.f64 (.f64 (.f64 x 3) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
✓	0.2b	(.f64 (.f64 x 3) x)
✓	0.2b	(.f64 3 (.f64 x x))
▶	18.2b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 127 to 97 computations (23.6% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
✓	0.4b	(*.f64 (sqrt.f64 3) x)

Compiler

Compiled 16 to 13 computations (18.8% saved)

series3.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

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

rewrite38.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`pow1_binary64`
511×	`add-log-exp_binary64`
510×	`log1p-expm1-u_binary64`
510×	`expm1-log1p-u_binary64`
498×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	147	13
2	1536	13

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

Outputs

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

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

simplify50.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

662×	`exp-sum_binary64`
586×	`distribute-rgt-in_binary64`
561×	`distribute-lft-in_binary64`
527×	`log-prod_binary64`
393×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	584
1	190	385
2	676	342
3	2258	342
4	7133	342

Stop Event

1×	node limit

Counts

47 → 42

Calls

Call 1

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

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

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x 4)
✓	0.1b	(*.f64 9 (pow.f64 x 4))
✓	17.4b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series4.0ms (0.2%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow.f64 x 4)
1.0ms	x	@	inf	(pow.f64 x 4)
1.0ms	x	@	0	(*.f64 9 (pow.f64 x 4))
0.0ms	x	@	inf	(*.f64 9 (pow.f64 x 4))
0.0ms	x	@	0	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

rewrite43.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

574×	`pow1_binary64`
538×	`add-log-exp_binary64`
538×	`log1p-expm1-u_binary64`
538×	`expm1-log1p-u_binary64`
525×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	148	18
2	1557	18

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
(*.f64 9 (pow.f64 x 4))
(pow.f64 x 4)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 3)) (cbrt.f64 (*.f64 9 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 3) x) (*.f64 (sqrt.f64 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 81))) (sqrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 9 1/2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 81)) 1/2) (pow.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9 (pow.f64 x 4)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 3) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 9 (pow.f64 x 4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 3)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 9 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 8) 81) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9 (pow.f64 x 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 9 (pow.f64 x 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 9 (pow.f64 x 4))))))))

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

simplify48.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

810×	`log-prod_binary64`
634×	`fma-def_binary64`
572×	`fma-neg_binary64`
319×	`cube-prod_binary64`
296×	`fabs-mul_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	556
1	243	484
2	812	412
3	2913	412
4	5785	412

Stop Event

1×	node limit

Counts

62 → 58

Calls

Call 1

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

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(-.f64 (+.f64 1 (.f64 (.f64 x x) 3)) 1)
(.f64 3 (.f64 x x))
(.f64 (.f64 (*.f64 x x) 3) 1)
(.f64 3 (.f64 x x))
(.f64 1 (.f64 (*.f64 x x) 3))
(.f64 3 (.f64 x x))
(.f64 (.f64 x x) 3)
(.f64 3 (.f64 x x))
(.f64 (.f64 x x) (pow.f64 9 1/2))
(.f64 3 (.f64 x x))
(.f64 (cbrt.f64 (.f64 9 (pow.f64 x 4))) (cbrt.f64 (.f64 (.f64 x x) 3)))
(.f64 3 (.f64 x x))
(.f64 (cbrt.f64 (.f64 (.f64 x x) 3)) (cbrt.f64 (.f64 9 (pow.f64 x 4))))
(.f64 3 (.f64 x x))
(.f64 3 (.f64 x x))
(.f64 (.f64 (sqrt.f64 3) x) (*.f64 (sqrt.f64 3) x))
(.f64 3 (.f64 x x))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81))) (sqrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))
(.f64 3 (.f64 x x))
(.f64 (pow.f64 9 1/2) (.f64 x x))
(.f64 3 (.f64 x x))
(.f64 (pow.f64 1 1/2) (.f64 (*.f64 x x) 3))
(.f64 3 (.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81)) 1/2) (pow.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 1/2))
(.f64 3 (.f64 x x))
(pow.f64 (*.f64 9 (pow.f64 x 4)) 1/2)
(.f64 3 (.f64 x x))
(pow.f64 (.f64 (.f64 x x) 3) 1)
(.f64 3 (.f64 x x))
(pow.f64 (pow.f64 (*.f64 9 (pow.f64 x 4)) 3/2) 1/3)
(.f64 3 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) 3)) 3)
(.f64 3 (.f64 x x))
(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
(.f64 3 (.f64 x x))
(fabs.f64 (.f64 (.f64 x x) 3))
(.f64 3 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))
(.f64 3 (.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 9 (pow.f64 x 4)) 3/2))
(.f64 3 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) 3)))
(.f64 3 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) 3)))
(.f64 3 (.f64 x x))
(exp.f64 (log.f64 (.f64 (.f64 x x) 3)))
(.f64 3 (.f64 x x))
(-.f64 (+.f64 1 (*.f64 9 (pow.f64 x 4))) 1)
(+.f64 1 (-.f64 (*.f64 9 (pow.f64 x 4)) 1))
(+.f64 (*.f64 9 (pow.f64 x 4)) 0)
(*.f64 9 (pow.f64 x 4))
(pow.f64 (*.f64 9 (pow.f64 x 4)) 1)
(+.f64 1 (-.f64 (*.f64 9 (pow.f64 x 4)) 1))
(+.f64 (*.f64 9 (pow.f64 x 4)) 0)
(*.f64 9 (pow.f64 x 4))
(pow.f64 (.f64 (.f64 x x) 3) 2)
(+.f64 1 (-.f64 (*.f64 9 (pow.f64 x 4)) 1))
(+.f64 (*.f64 9 (pow.f64 x 4)) 0)
(*.f64 9 (pow.f64 x 4))
(pow.f64 (*.f64 (pow.f64 x 8) 81) 1/2)
(+.f64 1 (-.f64 (*.f64 9 (pow.f64 x 4)) 1))
(+.f64 (*.f64 9 (pow.f64 x 4)) 0)
(*.f64 9 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 9 (pow.f64 x 4)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 9 (pow.f64 x 4)) 1))
(+.f64 (*.f64 9 (pow.f64 x 4)) 0)
(*.f64 9 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 3)
(+.f64 1 (-.f64 (*.f64 9 (pow.f64 x 4)) 1))
(+.f64 (*.f64 9 (pow.f64 x 4)) 0)
(*.f64 9 (pow.f64 x 4))
(sqrt.f64 (*.f64 (pow.f64 x 8) 81))
(+.f64 1 (-.f64 (*.f64 9 (pow.f64 x 4)) 1))
(+.f64 (*.f64 9 (pow.f64 x 4)) 0)
(*.f64 9 (pow.f64 x 4))
(log.f64 (pow.f64 (exp.f64 9) (pow.f64 x 4)))
(+.f64 1 (-.f64 (*.f64 9 (pow.f64 x 4)) 1))
(+.f64 (*.f64 9 (pow.f64 x 4)) 0)
(*.f64 9 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 9 (pow.f64 x 4)) 3))
(+.f64 1 (-.f64 (*.f64 9 (pow.f64 x 4)) 1))
(+.f64 (*.f64 9 (pow.f64 x 4)) 0)
(*.f64 9 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 9 (pow.f64 x 4))))
(+.f64 1 (-.f64 (*.f64 9 (pow.f64 x 4)) 1))
(+.f64 (*.f64 9 (pow.f64 x 4)) 0)
(*.f64 9 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 9 (pow.f64 x 4))))
(+.f64 1 (-.f64 (*.f64 9 (pow.f64 x 4)) 1))
(+.f64 (*.f64 9 (pow.f64 x 4)) 0)
(*.f64 9 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 9 (pow.f64 x 4))))
(+.f64 1 (-.f64 (*.f64 9 (pow.f64 x 4)) 1))
(+.f64 (*.f64 9 (pow.f64 x 4)) 0)
(*.f64 9 (pow.f64 x 4))
(-.f64 (+.f64 1 (pow.f64 x 4)) 1)
(+.f64 (+.f64 1 (pow.f64 x 4)) -1)
(+.f64 (pow.f64 x 4) 0)
(pow.f64 x 4)
(*.f64 (pow.f64 x 4) 1)
(+.f64 (+.f64 1 (pow.f64 x 4)) -1)
(+.f64 (pow.f64 x 4) 0)
(pow.f64 x 4)
(*.f64 1 (pow.f64 x 4))
(+.f64 (+.f64 1 (pow.f64 x 4)) -1)
(+.f64 (pow.f64 x 4) 0)
(pow.f64 x 4)
(.f64 (.f64 x x) (*.f64 x x))
(+.f64 (+.f64 1 (pow.f64 x 4)) -1)
(+.f64 (pow.f64 x 4) 0)
(pow.f64 x 4)
(*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 8)))
(.f64 (cbrt.f64 (pow.f64 x 8)) (.f64 x (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 8)))
(.f64 (cbrt.f64 (pow.f64 x 8)) (.f64 x (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 4) (pow.f64 (cbrt.f64 x) 4))
(+.f64 (+.f64 1 (pow.f64 x 4)) -1)
(+.f64 (pow.f64 x 4) 0)
(pow.f64 x 4)
(*.f64 (pow.f64 (sqrt.f64 x) 4) (pow.f64 (sqrt.f64 x) 4))
(+.f64 (+.f64 1 (pow.f64 x 4)) -1)
(+.f64 (pow.f64 x 4) 0)
(pow.f64 x 4)
(sqrt.f64 (pow.f64 x 8))
(+.f64 (+.f64 1 (pow.f64 x 4)) -1)
(+.f64 (pow.f64 x 4) 0)
(pow.f64 x 4)
(log.f64 (exp.f64 (pow.f64 x 4)))
(+.f64 (+.f64 1 (pow.f64 x 4)) -1)
(+.f64 (pow.f64 x 4) 0)
(pow.f64 x 4)
(cbrt.f64 (pow.f64 (pow.f64 x 4) 3))
(+.f64 (+.f64 1 (pow.f64 x 4)) -1)
(+.f64 (pow.f64 x 4) 0)
(pow.f64 x 4)
(expm1.f64 (log1p.f64 (pow.f64 x 4)))
(+.f64 (+.f64 1 (pow.f64 x 4)) -1)
(+.f64 (pow.f64 x 4) 0)
(pow.f64 x 4)
(log1p.f64 (expm1.f64 (pow.f64 x 4)))
(+.f64 (+.f64 1 (pow.f64 x 4)) -1)
(+.f64 (pow.f64 x 4) 0)
(pow.f64 x 4)
(exp.f64 (*.f64 4 (log.f64 x)))
(+.f64 (+.f64 1 (pow.f64 x 4)) -1)
(+.f64 (pow.f64 x 4) 0)
(pow.f64 x 4)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
✓	1.0b	(pow.f64 (sqrt.f64 3) 2)

Compiler

Compiled 21 to 15 computations (28.6% saved)

series1.0ms (0.1%)

Counts

2 → 12

Calls

3 calls:

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

rewrite39.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

553×	`pow1_binary64`
513×	`add-log-exp_binary64`
512×	`log1p-expm1-u_binary64`
512×	`expm1-log1p-u_binary64`
501×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	167	8
2	1524	8

Stop Event

1×	node limit

Counts

2 → 12

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 3) 2)
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 3)))))

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

simplify35.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

731×	`log-prod_binary64`
583×	`distribute-rgt-in_binary64`
570×	`distribute-lft-in_binary64`
470×	`associate-l_binary64`
386×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	277
1	94	162
2	326	162
3	2522	162

Stop Event

1×	node limit

Counts

24 → 15

Calls

Call 1

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

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

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (.f64 x 3) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
✓	0.3b	(.f64 (.f64 x 3) (cbrt.f64 (*.f64 x x)))
✓	0.6b	(cbrt.f64 x)
✓	17.8b	(cbrt.f64 (*.f64 x x))

Compiler

Compiled 34 to 14 computations (58.8% saved)

series19.0ms (0.8%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	(.f64 (.f64 (.f64 x 3) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
2.0ms	x	@	-inf	(.f64 (.f64 (.f64 x 3) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
2.0ms	x	@	-inf	(cbrt.f64 x)
1.0ms	x	@	inf	(.f64 (.f64 (.f64 x 3) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
0.0ms	x	@	0	(.f64 (.f64 x 3) (cbrt.f64 (*.f64 x x)))

rewrite51.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`pow1_binary64`
699×	`add-log-exp_binary64`
699×	`log1p-expm1-u_binary64`
699×	`expm1-log1p-u_binary64`
681×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	180	28
2	2020	28

Stop Event

1×	node limit

Counts

4 → 69

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 x x))
(cbrt.f64 x)
(.f64 (.f64 x 3) (cbrt.f64 (*.f64 x x)))
(.f64 (.f64 (.f64 x 3) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))

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

simplify46.0ms (2%)

Algorithm

1×	egg-herbie

Rules

831×	`log-prod_binary64`
601×	`unswap-sqr_binary64`
339×	`*-commutative_binary64`
300×	`fma-neg_binary64`
224×	`sqr-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	890
1	314	734
2	1380	580
3	4861	577

Stop Event

1×	node limit

Counts

81 → 92

Calls

Call 1

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

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

localize42.0ms (1.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (.f64 x (sqrt.f64 3)) (cbrt.f64 (.f64 x (.f64 x 3)))) (cbrt.f64 (.f64 x (sqrt.f64 3))))
✓	0.4b	(*.f64 x (sqrt.f64 3))
✓	0.6b	(cbrt.f64 (*.f64 x (sqrt.f64 3)))
	17.8b	(cbrt.f64 (.f64 x (.f64 x 3)))

Compiler

Compiled 56 to 41 computations (26.8% saved)

series53.0ms (2.3%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
46.0ms	x	@	inf	(.f64 (.f64 (.f64 x (sqrt.f64 3)) (cbrt.f64 (.f64 x (.f64 x 3)))) (cbrt.f64 (.f64 x (sqrt.f64 3))))
3.0ms	x	@	0	(.f64 (.f64 (.f64 x (sqrt.f64 3)) (cbrt.f64 (.f64 x (.f64 x 3)))) (cbrt.f64 (.f64 x (sqrt.f64 3))))
1.0ms	x	@	-inf	(.f64 (.f64 (.f64 x (sqrt.f64 3)) (cbrt.f64 (.f64 x (.f64 x 3)))) (cbrt.f64 (.f64 x (sqrt.f64 3))))
0.0ms	x	@	0	(cbrt.f64 (*.f64 x (sqrt.f64 3)))
0.0ms	x	@	-inf	(cbrt.f64 (*.f64 x (sqrt.f64 3)))

rewrite52.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

862×	`pow1_binary64`
799×	`add-log-exp_binary64`
799×	`log1p-expm1-u_binary64`
799×	`expm1-log1p-u_binary64`
780×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	222	21
2	2649	21

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 x (sqrt.f64 3)))
(*.f64 x (sqrt.f64 3))
(.f64 (.f64 (.f64 x (sqrt.f64 3)) (cbrt.f64 (.f64 x (.f64 x 3)))) (cbrt.f64 (.f64 x (sqrt.f64 3))))

Outputs

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

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

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

simplify72.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

882×	`log-prod_binary64`
611×	`fma-neg_binary64`
346×	`cube-prod_binary64`
334×	`*-commutative_binary64`
285×	`exp-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	960
1	283	867
2	1123	714
3	3327	713
4	6097	713

Stop Event

1×	node limit

Counts

77 → 76

Calls

Call 1

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

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

eval117.0ms (5.1%)

Compiler: Compiled 4537 to 3160 computations (30.4% saved)

prune49.0ms (2.2%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	331	1	332
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	331	9	340

Error

Counts

340 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
✓	0.4b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
✓	0.6b	(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
✓	0.7b	(.f64 (.f64 (.f64 x (sqrt.f64 3)) (cbrt.f64 (.f64 x (.f64 x 3)))) (cbrt.f64 (.f64 x (sqrt.f64 3))))
✓	0.7b	(.f64 (.f64 (.f64 x 3) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
✓	0.2b	(.f64 (.f64 x 3) x)
✓	0.2b	(.f64 3 (.f64 x x))
✓	18.2b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
▶	18.3b	(sqrt.f64 (.f64 9 (.f64 (.f64 x x) (.f64 x x))))

Compiler

Compiled 85 to 62 computations (27.1% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 9 (.f64 (.f64 x x) (.f64 x x)))
✓	0.2b	(.f64 (.f64 x x) (*.f64 x x))
✓	17.4b	(sqrt.f64 (.f64 9 (.f64 (.f64 x x) (.f64 x x))))

Compiler

Compiled 32 to 9 computations (71.9% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite52.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

592×	`pow1_binary64`
553×	`add-log-exp_binary64`
553×	`log1p-expm1-u_binary64`
553×	`expm1-log1p-u_binary64`
537×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	29
1	146	18
2	1687	18

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

Inputs
(sqrt.f64 (.f64 9 (.f64 (.f64 x x) (.f64 x x))))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 9 (.f64 (.f64 x x) (.f64 x x)))

Outputs

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

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

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

simplify56.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

835×	`fma-def_binary64`
715×	`fma-neg_binary64`
560×	`log-prod_binary64`
449×	`unswap-sqr_binary64`
231×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	530
1	244	530
2	826	530
3	3518	530
4	7897	530

Stop Event

1×	node limit

Counts

86 → 53

Calls

Call 1

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

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

eval14.0ms (0.6%)

Compiler: Compiled 447 to 339 computations (24.2% saved)

prune9.0ms (0.4%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	52	10	62

Error

Counts

62 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
✓	0.4b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
✓	0.6b	(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
✓	0.7b	(.f64 (.f64 (.f64 x (sqrt.f64 3)) (cbrt.f64 (.f64 x (.f64 x 3)))) (cbrt.f64 (.f64 x (sqrt.f64 3))))
✓	0.7b	(.f64 (.f64 (.f64 x 3) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
✓	0.2b	(.f64 (.f64 x 3) x)
	22.5b	(.f64 (sqrt.f64 (.f64 9 (*.f64 x x))) x)
✓	0.2b	(.f64 3 (.f64 x x))
✓	18.2b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
✓	18.3b	(sqrt.f64 (.f64 9 (.f64 (.f64 x x) (.f64 x x))))

Compiler

Compiled 94 to 68 computations (27.7% saved)

regimes17.0ms (0.7%)

Accuracy

Total -35.7b remaining (-18674.5%)

Threshold costs -35.7b (-18674.5%)

Counts

12 → 1

Calls

Call 1

Inputs
(.f64 3 (.f64 x x))
(.f64 (.f64 x 3) x)
(.f64 (sqrt.f64 (.f64 9 (*.f64 x x))) x)
(sqrt.f64 (.f64 9 (.f64 (.f64 x x) (.f64 x x))))
(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 3)) 3))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
(.f64 (.f64 (.f64 x 3) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 (.f64 x (sqrt.f64 3)) (cbrt.f64 (.f64 x (.f64 x 3)))) (cbrt.f64 (.f64 x (sqrt.f64 3))))

Outputs
(.f64 (.f64 x 3) x)

Calls

2 calls:

8.0ms	x
4.0ms	(.f64 (.f64 x 3) x)

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(.f64 (.f64 x 3) x)`

Compiler

Compiled 109 to 72 computations (33.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	10	14

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (.f64 x 3) x)
(.f64 3 (.f64 x x))

Outputs
(.f64 (.f64 x 3) x)
(.f64 x (.f64 x 3))
(.f64 3 (.f64 x x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

soundness0.0ms (0%)

end16.0ms (0.7%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

Details

analyze4.0ms (0.2%)

sample709.0ms (31%)

preprocess15.0ms (0.6%)

simplify7.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.2%)

series1.0ms (0.1%)

rewrite34.0ms (1.5%)

simplify38.0ms (1.7%)

eval4.0ms (0.2%)

prune4.0ms (0.2%)

localize11.0ms (0.5%)

series3.0ms (0.1%)

rewrite43.0ms (1.9%)

simplify47.0ms (2.1%)

localize4.0ms (0.2%)

series1.0ms (0%)

rewrite36.0ms (1.6%)

simplify41.0ms (1.8%)

localize11.0ms (0.5%)

series5.0ms (0.2%)

rewrite43.0ms (1.9%)

simplify57.0ms (2.5%)

localize11.0ms (0.5%)

series3.0ms (0.1%)

rewrite42.0ms (1.8%)

simplify41.0ms (1.8%)

eval60.0ms (2.6%)

prune29.0ms (1.3%)

localize7.0ms (0.3%)

series3.0ms (0.1%)

rewrite38.0ms (1.7%)

simplify50.0ms (2.2%)

localize8.0ms (0.3%)

series4.0ms (0.2%)

rewrite43.0ms (1.9%)

simplify48.0ms (2.1%)

localize9.0ms (0.4%)

series1.0ms (0.1%)

rewrite39.0ms (1.7%)

simplify35.0ms (1.6%)

localize12.0ms (0.5%)

series19.0ms (0.8%)

rewrite51.0ms (2.2%)

simplify46.0ms (2%)

localize42.0ms (1.8%)

series53.0ms (2.3%)

rewrite52.0ms (2.3%)

simplify72.0ms (3.1%)

eval117.0ms (5.1%)

prune49.0ms (2.2%)

localize10.0ms (0.4%)

series2.0ms (0.1%)

rewrite52.0ms (2.3%)

simplify56.0ms (2.4%)

eval14.0ms (0.6%)

prune9.0ms (0.4%)

regimes17.0ms (0.7%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end16.0ms (0.7%)

Profiling