Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	25%	0%	0%	4
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)

sample707.0ms (29%)

Results

696.0ms	8256×	body	256	valid
0.0ms	8×	body	256	infinite

Bogosity

preprocess17.0ms (0.7%)

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)

simplify6.0ms (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

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(.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
✓	0.1b	(.f64 (.f64 x 3) x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (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)

rewrite43.0ms (1.8%)

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))))))))

simplify40.0ms (1.6%)

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)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	17	2	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	3	20

Error

0.0b

Counts

20 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
✓	0.1b	(.f64 (.f64 x 3) x)
▶	0.2b	(.f64 3 (.f64 x x))

Compiler

Compiled 21 to 15 computations (28.6% saved)

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))

rewrite52.0ms (2.2%)

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))))))))

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))))))))

simplify40.0ms (1.6%)

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 (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 x 3))
✓	0.3b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
✓	19.0b	(sqrt.f64 (.f64 x (.f64 x 3)))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite78.0ms (3.2%)

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	23
1	167	20
2	1590	20

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

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

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))))))))

((#(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 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 4) 1/2)))) (#(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 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))))))))

simplify56.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

731×	`fma-def_binary64`
690×	`log-prod_binary64`
554×	`unswap-sqr_binary64`
352×	`cube-prod_binary64`
322×	`fabs-mul_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	888
1	294	760
2	1224	756
3	4506	752

Stop Event

1×	node limit

Counts

102 → 72

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

eval45.0ms (1.8%)

Compiler: Compiled 855 to 641 computations (25% saved)

prune15.0ms (0.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	81	7	88
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	82	9	91

Error

0.0b

Counts

91 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.8b	(pow.f64 (.f64 (sqrt.f64 (.f64 x 3)) (sqrt.f64 x)) 2)
▶	0.5b	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
▶	0.7b	(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
	1.0b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x 3)))
▶	32.7b	(.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)))
✓	0.1b	(.f64 (.f64 x 3) x)
	32.7b	(.f64 (sqrt.f64 (.f64 3 x)) (*.f64 (sqrt.f64 3) (pow.f64 x 3/2)))
✓	0.2b	(.f64 3 (.f64 x x))
▶	21.9b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 150 to 118 computations (21.3% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
✓	0.4b	(*.f64 (sqrt.f64 3) x)

Compiler

Compiled 16 to 13 computations (18.8% saved)

series2.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

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

rewrite39.0ms (1.6%)

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))))))))

simplify48.0ms (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 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 9 (pow.f64 x 4))
✓	21.0b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series2.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

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

rewrite46.0ms (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	16
1	148	14
2	1557	14

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

simplify43.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

627×	`log-prod_binary64`
539×	`fma-def_binary64`
500×	`distribute-rgt-in_binary64`
475×	`distribute-lft-in_binary64`
402×	`exp-sum_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	442
1	188	406
2	622	370
3	2323	370
4	6160	370

Stop Event

1×	node limit

Counts

48 → 40

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))))

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 (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 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81))) (sqrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))
(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))

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (*.f64 x 3))
✓	0.1b	(.f64 x (sqrt.f64 (.f64 x 3)))
✓	0.1b	(.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)))

Compiler

Compiled 27 to 19 computations (29.6% saved)

series46.0ms (1.9%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
41.0ms	x	@	inf	(.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)))
1.0ms	x	@	-inf	(.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)))
1.0ms	x	@	0	(.f64 x (sqrt.f64 (.f64 x 3)))
1.0ms	x	@	-inf	(.f64 x (sqrt.f64 (.f64 x 3)))
1.0ms	x	@	0	(.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)))

rewrite44.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

631×	`pow1_binary64`
584×	`add-log-exp_binary64`
584×	`log1p-expm1-u_binary64`
584×	`expm1-log1p-u_binary64`
571×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
1	142	22
2	1643	22

Stop Event

1×	node limit

Counts

3 → 44

Calls

Call 1

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

Outputs

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

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

simplify42.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

630×	`fma-def_binary64`
597×	`distribute-rgt-in_binary64`
566×	`distribute-lft-in_binary64`
522×	`log-prod_binary64`
413×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	706
1	236	504
2	867	422
3	3457	408

Stop Event

1×	node limit

Counts

56 → 61

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

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

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 18 computations (14.3% saved)

series1.0ms (0%)

Counts

2 → 0

Calls

3 calls:

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

rewrite42.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

546×	`pow1_binary64`
528×	`add-sqr-sqrt_binary64`
507×	`add-log-exp_binary64`
506×	`log1p-expm1-u_binary64`
506×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	170	8
2	1533	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) (pow.f64 x 2))

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))))))))

simplify40.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

987×	`log-prod_binary64`
542×	`distribute-rgt-in_binary64`
532×	`distribute-lft-in_binary64`
399×	`associate-l_binary64`
328×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	144
1	85	111
2	310	78
3	2051	78
4	6704	78

Stop Event

1×	node limit

Counts

12 → 15

Calls

Call 1

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

localize11.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (*.f64 x 3))
✓	0.2b	(pow.f64 (.f64 (sqrt.f64 (.f64 x 3)) (sqrt.f64 x)) 2)
✓	0.2b	(.f64 (sqrt.f64 (.f64 x 3)) (sqrt.f64 x))

Compiler

Compiled 29 to 19 computations (34.5% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite47.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

728×	`pow1_binary64`
675×	`add-log-exp_binary64`
674×	`log1p-expm1-u_binary64`
674×	`expm1-log1p-u_binary64`
656×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	189	13
2	2048	13

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 x 3)) (sqrt.f64 x))
(pow.f64 (.f64 (sqrt.f64 (.f64 x 3)) (sqrt.f64 x)) 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 pow.f64 (*.f64 x (sqrt.f64 3)) 1)))) (#(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 (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 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 (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 cbrt.f64 (*.f64 (pow.f64 (*.f64 x 3) 3/2) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (*.f64 x 3) 3/2)))))) (#(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 (sqrt.f64 (*.f64 x 3)) (*.f64 (sqrt.f64 x) (*.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 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x 3)) (*.f64 x (sqrt.f64 3))))))) (#(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 (*.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 (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 (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 3) 2)) (*.f64 (cbrt.f64 (*.f64 x 3)) x))))) (#(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 (*.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 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (sqrt.f64 (*.f64 x 3))) (sqrt.f64 x))))) (#(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 *.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 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(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 (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 (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))))))))

simplify47.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

600×	`distribute-rgt-in_binary64`
575×	`distribute-lft-in_binary64`
456×	`fma-def_binary64`
437×	`log-prod_binary64`
420×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	744
1	295	579
2	1062	575
3	3099	567

Stop Event

1×	node limit

Counts

67 → 65

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

eval72.0ms (2.9%)

Compiler: Compiled 3070 to 2312 computations (24.7% saved)

prune38.0ms (1.6%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	281	2	283
Fresh	0	2	2
Picked	0	1	1
Done	1	5	6
Total	282	10	292

Error

Counts

292 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.8b	(pow.f64 (.f64 (sqrt.f64 (.f64 x 3)) (sqrt.f64 x)) 2)
✓	0.5b	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
▶	0.7b	(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
▶	1.0b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x 3)))
✓	32.7b	(.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)))
✓	0.1b	(.f64 (.f64 x 3) x)
▶	32.7b	(.f64 (sqrt.f64 (.f64 3 x)) (*.f64 (sqrt.f64 3) (pow.f64 x 3/2)))
▶	0.6b	(.f64 x (.f64 (cbrt.f64 (.f64 (.f64 x x) 9)) (cbrt.f64 (*.f64 3 x))))
✓	0.2b	(.f64 3 (.f64 x x))
✓	21.9b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 95 to 72 computations (24.2% saved)

localize20.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x x) 9)
✓	0.3b	(.f64 (cbrt.f64 (.f64 (.f64 x x) 9)) (cbrt.f64 (.f64 3 x)))
✓	0.6b	(cbrt.f64 (*.f64 3 x))
✓	19.7b	(cbrt.f64 (.f64 (.f64 x x) 9))

Compiler

Compiled 49 to 29 computations (40.8% saved)

series15.0ms (0.6%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(.f64 (cbrt.f64 (.f64 (.f64 x x) 9)) (cbrt.f64 (.f64 3 x)))
4.0ms	x	@	-inf	(.f64 (cbrt.f64 (.f64 (.f64 x x) 9)) (cbrt.f64 (.f64 3 x)))
2.0ms	x	@	0	(cbrt.f64 (.f64 (.f64 x x) 9))
1.0ms	x	@	inf	(.f64 (cbrt.f64 (.f64 (.f64 x x) 9)) (cbrt.f64 (.f64 3 x)))
1.0ms	x	@	0	(cbrt.f64 (*.f64 3 x))

rewrite52.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

697×	`pow1_binary64`
649×	`add-log-exp_binary64`
649×	`log1p-expm1-u_binary64`
649×	`expm1-log1p-u_binary64`
633×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	200	26
2	2234	26

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

Inputs
(cbrt.f64 (.f64 (.f64 x x) 9))
(cbrt.f64 (*.f64 3 x))
(.f64 (cbrt.f64 (.f64 (.f64 x x) 9)) (cbrt.f64 (.f64 3 x)))
(.f64 (.f64 x x) 9)

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

simplify65.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

872×	`fma-neg_binary64`
512×	`log-prod_binary64`
354×	`fma-def_binary64`
318×	`*-commutative_binary64`
278×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	1157
1	315	1004
2	1202	851
3	4181	851
4	7592	851

Stop Event

1×	node limit

Counts

100 → 100

Calls

Call 1

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

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

localize22.0ms (0.9%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 26 computations (21.2% saved)

series4.0ms (0.2%)

Counts

3 → 12

Calls

9 calls:

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

rewrite55.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`pow1_binary64`
823×	`add-log-exp_binary64`
823×	`log1p-expm1-u_binary64`
823×	`expm1-log1p-u_binary64`
803×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	209	30
2	2363	30

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

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

Outputs

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

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

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

simplify46.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

611×	`distribute-rgt-in_binary64`
607×	`log-prod_binary64`
587×	`distribute-lft-in_binary64`
548×	`fma-def_binary64`
479×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	937
1	290	753
2	1013	642
3	3236	642

Stop Event

1×	node limit

Counts

62 → 74

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

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x 3)))
✓	0.3b	(.f64 (cbrt.f64 x) (.f64 x 3))
✓	0.5b	(pow.f64 (cbrt.f64 x) 2)
✓	0.6b	(cbrt.f64 x)

Compiler

Compiled 30 to 17 computations (43.3% saved)

series10.0ms (0.4%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x 3)))
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 x) 2)
1.0ms	x	@	-inf	(cbrt.f64 x)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 x) 2)
1.0ms	x	@	-inf	(.f64 (cbrt.f64 x) (.f64 x 3))

rewrite56.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

752×	`pow1_binary64`
699×	`add-log-exp_binary64`
698×	`log1p-expm1-u_binary64`
698×	`expm1-log1p-u_binary64`
683×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	186	25
2	2058	25

Stop Event

1×	node limit

Counts

4 → 63

Calls

Call 1

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

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

simplify56.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

602×	`fma-neg_binary64`
599×	`log-prod_binary64`
404×	`exp-prod_binary64`
324×	`*-commutative_binary64`
306×	`log-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	767
1	272	635
2	1161	504
3	3620	501
4	7139	501

Stop Event

1×	node limit

Counts

75 → 79

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

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%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	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))

rewrite36.0ms (1.5%)

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	7
1	167	7
2	1524	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify29.0ms (1.2%)

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	276
1	94	161
2	326	161
3	2522	161

Stop Event

1×	node limit

Counts

23 → 14

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 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))
(-.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))

eval86.0ms (3.5%)

Compiler: Compiled 4014 to 2799 computations (30.3% saved)

prune40.0ms (1.7%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	293	2	295
Fresh	0	0	0
Picked	1	0	1
Done	3	6	9
Total	297	8	305

Error

Counts

305 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
✓	1.0b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x 3)))
	32.6b	(.f64 (pow.f64 x 3/2) (sqrt.f64 (.f64 x 9)))
✓	0.1b	(.f64 (.f64 x 3) x)
✓	32.7b	(.f64 (sqrt.f64 (.f64 3 x)) (*.f64 (sqrt.f64 3) (pow.f64 x 3/2)))
	32.7b	(.f64 x (pow.f64 (sqrt.f64 (.f64 x 3)) 2))
✓	0.2b	(.f64 3 (.f64 x x))
✓	21.9b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 68 to 52 computations (23.5% saved)

regimes17.0ms (0.7%)

Accuracy

Total -44.6b remaining (-32627.6%)

Threshold costs -44.6b (-32627.6%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	x
5.0ms	(.f64 (.f64 x 3) x)

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(.f64 (.f64 x 3) x)`

Compiler

Compiled 126 to 91 computations (27.8% 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%)

end15.0ms (0.6%)

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

Details

analyze3.0ms (0.1%)

sample707.0ms (29%)

preprocess17.0ms (0.7%)

simplify6.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.2%)

series2.0ms (0.1%)

rewrite43.0ms (1.8%)

simplify40.0ms (1.6%)

eval4.0ms (0.2%)

prune3.0ms (0.1%)

localize4.0ms (0.2%)

series1.0ms (0%)

rewrite52.0ms (2.2%)

simplify40.0ms (1.6%)

localize11.0ms (0.4%)

series4.0ms (0.1%)

rewrite78.0ms (3.2%)

simplify56.0ms (2.3%)

eval45.0ms (1.8%)

prune15.0ms (0.6%)

localize9.0ms (0.4%)

series2.0ms (0.1%)

rewrite39.0ms (1.6%)

simplify48.0ms (2%)

localize8.0ms (0.3%)

series2.0ms (0.1%)

rewrite46.0ms (1.9%)

simplify43.0ms (1.7%)

localize11.0ms (0.4%)

series46.0ms (1.9%)

rewrite44.0ms (1.8%)

simplify42.0ms (1.7%)

localize9.0ms (0.4%)

series1.0ms (0%)

rewrite42.0ms (1.7%)

simplify40.0ms (1.7%)

localize11.0ms (0.5%)

series4.0ms (0.1%)

rewrite47.0ms (1.9%)

simplify47.0ms (1.9%)

eval72.0ms (2.9%)

prune38.0ms (1.6%)

localize20.0ms (0.8%)

series15.0ms (0.6%)

rewrite52.0ms (2.1%)

simplify65.0ms (2.7%)

localize22.0ms (0.9%)

series4.0ms (0.2%)

rewrite55.0ms (2.2%)

simplify46.0ms (1.9%)

localize12.0ms (0.5%)

series10.0ms (0.4%)

rewrite56.0ms (2.3%)

simplify56.0ms (2.3%)

localize9.0ms (0.4%)

series1.0ms (0%)

rewrite36.0ms (1.5%)

simplify29.0ms (1.2%)

eval86.0ms (3.5%)

prune40.0ms (1.7%)

regimes17.0ms (0.7%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end15.0ms (0.6%)

Profiling