Details

analyze3.0ms (0%)

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)

sample556.0ms (4.2%)

Results

546.0ms	8256×	body	256	valid
0.0ms	1×	body	256	infinite

Bogosity

preprocess17.0ms (0.1%)

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%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 100 to 88 computations (12% saved)

rewrite36.0ms (0.3%)

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))))))))

simplify42.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

880×	`log-prod_binary64`
407×	`associate-l_binary64`
352×	`associate-r_binary64`
350×	`*-commutative_binary64`
260×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	216
1	108	206
2	388	191
3	3054	191
4	6498	191

Stop Event

1×	node limit

Counts

26 → 21

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 (/.f64 1 x) -2))
(*.f64 3 (pow.f64 (/.f64 1 x) -2))
(*.f64 3 (pow.f64 (/.f64 1 x) -2))
(*.f64 3 (pow.f64 (/.f64 1 x) -2))
(*.f64 3 (pow.f64 (/.f64 -1 x) -2))
(*.f64 3 (pow.f64 (/.f64 -1 x) -2))
(*.f64 3 (pow.f64 (/.f64 -1 x) -2))
(*.f64 3 (pow.f64 (/.f64 -1 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 (/.f64 1 x) -2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 (/.f64 1 x) -2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 (/.f64 1 x) -2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 (/.f64 1 x) -2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 (/.f64 -1 x) -2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 (/.f64 -1 x) -2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 (/.f64 -1 x) -2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 (/.f64 -1 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))

eval5.0ms (0%)

Compiler: Compiled 213 to 151 computations (29.1% saved)

prune7.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	5	22

Error

0.0b

Counts

22 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
▶	0.9b	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
✓	0.2b	(.f64 (.f64 x 3) x)
▶	0.4b	(*.f64 3 (pow.f64 (/.f64 1 x) -2))
▶	0.2b	(.f64 3 (.f64 x x))

Compiler

Compiled 38 to 29 computations (23.7% saved)

localize4.0ms (0%)

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)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 100 to 88 computations (12% saved)

rewrite36.0ms (0.3%)

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))))))))

simplify45.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

673×	`log-prod_binary64`
449×	`associate-l_binary64`
400×	`associate-r_binary64`
359×	`fma-neg_binary64`
351×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	182
1	121	182
2	420	182
3	3186	182
4	7592	182

Stop Event

1×	node limit

Counts

26 → 18

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 (/.f64 1 x) -2))
(*.f64 3 (pow.f64 (/.f64 1 x) -2))
(*.f64 3 (pow.f64 (/.f64 1 x) -2))
(*.f64 3 (pow.f64 (/.f64 1 x) -2))
(*.f64 3 (pow.f64 (/.f64 -1 x) -2))
(*.f64 3 (pow.f64 (/.f64 -1 x) -2))
(*.f64 3 (pow.f64 (/.f64 -1 x) -2))
(*.f64 3 (pow.f64 (/.f64 -1 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 (/.f64 1 x) -2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 (/.f64 1 x) -2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 (/.f64 1 x) -2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 (/.f64 1 x) -2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 (/.f64 -1 x) -2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 (/.f64 -1 x) -2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 (/.f64 -1 x) -2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 (/.f64 -1 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))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 3 (pow.f64 (/.f64 1 x) -2))
✓	0.4b	(pow.f64 (/.f64 1 x) -2)

Compiler

Compiled 20 to 16 computations (20% saved)

series6.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

Compiler

Compiled 176 to 152 computations (13.6% saved)

rewrite43.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

636×	`pow1_binary64`
593×	`add-log-exp_binary64`
590×	`log1p-expm1-u_binary64`
590×	`expm1-log1p-u_binary64`
581×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	165	11
2	1764	11

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

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

Outputs

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

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

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

979×	`fma-neg_binary64`
682×	`associate-l_binary64`
597×	`associate-r_binary64`
471×	`associate-+r+_binary64`
248×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	258
1	194	258
2	578	255
3	3797	252
4	7365	252

Stop Event

1×	node limit

Counts

45 → 37

Calls

Call 1

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 x 3))
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
✓	18.8b	(cbrt.f64 (.f64 x (.f64 x 3)))

Compiler

Compiled 25 to 17 computations (32% saved)

series4.3s (32.4%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
1.3s	x	@	inf	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
1.1s	x	@	0	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
1.1s	x	@	-inf	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
265.0ms	x	@	-inf	(cbrt.f64 (.f64 x (.f64 x 3)))
255.0ms	x	@	inf	(cbrt.f64 (.f64 x (.f64 x 3)))

Compiler

Compiled 405348 to 346968 computations (14.4% saved)

rewrite48.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	149	23
2	1487	23

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

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

Outputs

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

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

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

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

658×	`fma-neg_binary64`
591×	`log-prod_binary64`
318×	`cube-prod_binary64`
280×	`fabs-mul_binary64`
270×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	887
1	290	823
2	1093	751
3	3009	751
4	7036	751

Stop Event

1×	node limit

Counts

80 → 86

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(.f64 x (.f64 x 3))
✓	0.3b	(pow.f64 (sqrt.f64 (.f64 x (.f64 x 3))) 2)
✓	18.1b	(sqrt.f64 (.f64 x (.f64 x 3)))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

Compiler

Compiled 216 to 192 computations (11.1% saved)

rewrite46.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

537×	`distribute-rgt-in_binary64`
511×	`fma-def_binary64`
510×	`distribute-lft-in_binary64`
474×	`log-prod_binary64`
318×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	812
1	293	622
2	1102	614
3	3398	610

Stop Event

1×	node limit

Counts

78 → 71

Calls

Call 1

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

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

eval57.0ms (0.4%)

Compiler: Compiled 2346 to 1744 computations (25.7% saved)

prune29.0ms (0.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	219	5	224
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	221	8	229

Error

0.0b

Counts

229 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
▶	0.7b	(*.f64 (pow.f64 (/.f64 1 x) -2) (pow.f64 (sqrt.f64 3) 2))
▶	0.6b	(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
▶	31.5b	(.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)))
✓	0.2b	(.f64 (.f64 x 3) x)
✓	0.4b	(*.f64 3 (pow.f64 (/.f64 1 x) -2))
✓	0.2b	(.f64 3 (.f64 x x))
▶	23.5b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 112 to 91 computations (18.8% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

series6.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

Compiler

Compiled 208 to 184 computations (11.5% saved)

rewrite44.0ms (0.3%)

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

((#(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)))))))

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

586×	`distribute-rgt-in_binary64`
562×	`distribute-lft-in_binary64`
396×	`fma-def_binary64`
330×	`fma-neg_binary64`
309×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	584
1	204	385
2	728	342
3	2364	342
4	7686	342

Stop Event

1×	node limit

Counts

47 → 46

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

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 x (.f64 3 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 x (.f64 3 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 x (.f64 3 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 x (.f64 3 x))
(*.f64 (pow.f64 (/.f64 1 x) -2) (pow.f64 (sqrt.f64 3) 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 (pow.f64 (/.f64 1 x) -2) (pow.f64 (sqrt.f64 3) 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 (pow.f64 (/.f64 1 x) -2) (pow.f64 (sqrt.f64 3) 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 (pow.f64 (/.f64 1 x) -2) (pow.f64 (sqrt.f64 3) 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (/.f64 -1 x) -2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (/.f64 -1 x) -2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (/.f64 -1 x) -2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (/.f64 -1 x) -2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 3 (.f64 x x))
(.f64 x (.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 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 x (.f64 3 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 3 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 x (.f64 3 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 x (.f64 3 x))
(.f64 (.f64 3 (*.f64 x x)) 1)
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(.f64 1 (.f64 3 (*.f64 x x)))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(.f64 (.f64 x x) 3)
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 3) x) 4)))
(.f64 (cbrt.f64 (.f64 x (.f64 x 3))) (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 x (.f64 3 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 x (.f64 3 x))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 3) x) 4)) (cbrt.f64 (.f64 3 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 x (.f64 x 3))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 3) x) 4)))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 3) x) 4)))
(.f64 (cbrt.f64 (.f64 3 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 9)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 9)) (cbrt.f64 (.f64 x (.f64 3 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 x (.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 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 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 x (.f64 3 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 x (.f64 3 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))
(.f64 x (.f64 3 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))
(.f64 x (.f64 3 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))
(.f64 x (.f64 3 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))
(.f64 x (.f64 3 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))
(.f64 x (.f64 3 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))
(.f64 x (.f64 3 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))
(.f64 x (.f64 3 x))
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 3) x)) 1)
(+.f64 1 (-.f64 (*.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 1 (-.f64 (*.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 1 (-.f64 (*.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 1 (-.f64 (*.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 1 (-.f64 (*.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 1 (-.f64 (*.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 1 (-.f64 (*.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 1 (-.f64 (*.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 1 (-.f64 (*.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 1 (-.f64 (*.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 1 (-.f64 (*.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 1 (-.f64 (*.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 1 (-.f64 (*.f64 (sqrt.f64 3) x) 1))
(+.f64 (*.f64 (sqrt.f64 3) x) 0)
(*.f64 (sqrt.f64 3) x)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 9 (pow.f64 x 4))
✓	22.7b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series6.0ms (0%)

Counts

2 → 20

Calls

6 calls:

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

Compiler

Compiled 200 to 176 computations (12% saved)

rewrite43.0ms (0.3%)

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))))))))

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

656×	`log-prod_binary64`
538×	`fma-def_binary64`
500×	`distribute-rgt-in_binary64`
475×	`distribute-lft-in_binary64`
428×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	486
1	212	486
2	680	426
3	2453	426
4	6699	426

Stop Event

1×	node limit

Counts

56 → 42

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

localize9.0ms (0.1%)

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)

series3.0ms (0%)

Counts

2 → 12

Calls

3 calls:

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

Compiler

Compiled 136 to 124 computations (8.8% saved)

rewrite40.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 12

Calls

Call 1

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

Outputs

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

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

simplify31.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

743×	`log-prod_binary64`
587×	`distribute-rgt-in_binary64`
574×	`distribute-lft-in_binary64`
471×	`associate-l_binary64`
403×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	277
1	108	162
2	377	162
3	2667	162

Stop Event

1×	node limit

Counts

24 → 18

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

Outputs
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 x (.f64 3 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 x (.f64 3 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 x (.f64 3 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 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 (pow.f64 (/.f64 1 x) -2) (pow.f64 (sqrt.f64 3) 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 (pow.f64 (/.f64 1 x) -2) (pow.f64 (sqrt.f64 3) 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 (pow.f64 (/.f64 1 x) -2) (pow.f64 (sqrt.f64 3) 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 (pow.f64 (/.f64 1 x) -2) (pow.f64 (sqrt.f64 3) 2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (/.f64 -1 x) -2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (/.f64 -1 x) -2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (/.f64 -1 x) -2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 (/.f64 -1 x) -2))
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
3
(-.f64 (+.f64 1 (.f64 3 (.f64 x x))) 1)
(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
(.f64 x (.f64 3 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 x (.f64 3 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 x (.f64 3 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 x (.f64 3 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 x (.f64 3 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 x (.f64 3 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 x (.f64 3 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 x (.f64 3 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 x (.f64 3 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 x (.f64 3 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 x (.f64 3 x))
(.f64 3 (.f64 x x))

localize10.0ms (0.1%)

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)

series3.7s (28.1%)

Counts

3 → 0

Calls

9 calls:

Time	Variable		Point	Expression
611.0ms	x	@	0	(.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)))
573.0ms	x	@	inf	(.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)))
563.0ms	x	@	-inf	(.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)))
366.0ms	x	@	-inf	(.f64 x (sqrt.f64 (.f64 x 3)))
362.0ms	x	@	0	(.f64 x (sqrt.f64 (.f64 x 3)))

Compiler

Compiled 265216 to 210176 computations (20.8% saved)

rewrite47.0ms (0.4%)

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))))))))

simplify38.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

577×	`fma-def_binary64`
557×	`distribute-rgt-in_binary64`
528×	`distribute-lft-in_binary64`
425×	`log-prod_binary64`
343×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	573
1	210	453
2	799	338
3	2926	324

Stop Event

1×	node limit

Counts

44 → 58

Calls

Call 1

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (pow.f64 (/.f64 1 x) -2) (pow.f64 (sqrt.f64 3) 2))
	0.4b	(pow.f64 (/.f64 1 x) -2)
	1.0b	(pow.f64 (sqrt.f64 3) 2)

Compiler

Compiled 30 to 26 computations (13.3% saved)

series3.0ms (0%)

Counts

1 → 8

Calls

3 calls:

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

Compiler

Compiled 136 to 124 computations (8.8% saved)

rewrite43.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`pow1_binary64`
688×	`add-log-exp_binary64`
686×	`log1p-expm1-u_binary64`
686×	`expm1-log1p-u_binary64`
673×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	10
1	229	7
2	2129	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify31.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

771×	`log-prod_binary64`
535×	`distribute-rgt-in_binary64`
522×	`distribute-lft-in_binary64`
505×	`associate-l_binary64`
413×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	240
1	109	150
2	385	150
3	2722	143

Stop Event

1×	node limit

Counts

19 → 18

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

eval53.0ms (0.4%)

Compiler: Compiled 2431 to 1828 computations (24.8% saved)

prune30.0ms (0.2%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	231	1	232
Fresh	0	0	0
Picked	1	0	1
Done	0	7	7
Total	232	8	240

Error

0.0b

Counts

240 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
✓	0.6b	(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
✓	31.5b	(.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)))
✓	0.2b	(.f64 (.f64 x 3) x)
▶	39.2b	(.f64 (sqrt.f64 (.f64 x (.f64 (.f64 x x) 3))) (sqrt.f64 (*.f64 x 3)))
✓	0.4b	(*.f64 3 (pow.f64 (/.f64 1 x) -2))
✓	0.2b	(.f64 3 (.f64 x x))
✓	23.5b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 69 to 53 computations (23.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 (*.f64 x x) 3))
✓	0.1b	(.f64 (sqrt.f64 (.f64 x (.f64 (.f64 x x) 3))) (sqrt.f64 (*.f64 x 3)))
✓	0.2b	(.f64 (.f64 x x) 3)
✓	25.1b	(sqrt.f64 (.f64 x (.f64 (*.f64 x x) 3)))

Compiler

Compiled 46 to 25 computations (45.7% saved)

series3.0s (22.4%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
710.0ms	x	@	inf	(.f64 (sqrt.f64 (.f64 x (.f64 (.f64 x x) 3))) (sqrt.f64 (*.f64 x 3)))
685.0ms	x	@	-inf	(.f64 (sqrt.f64 (.f64 x (.f64 (.f64 x x) 3))) (sqrt.f64 (*.f64 x 3)))
624.0ms	x	@	0	(.f64 (sqrt.f64 (.f64 x (.f64 (.f64 x x) 3))) (sqrt.f64 (*.f64 x 3)))
329.0ms	x	@	0	(sqrt.f64 (.f64 x (.f64 (*.f64 x x) 3)))
307.0ms	x	@	inf	(sqrt.f64 (.f64 x (.f64 (*.f64 x x) 3)))

Compiler

Compiled 193736 to 156336 computations (19.3% saved)

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`pow1_binary64`
750×	`add-log-exp_binary64`
750×	`log1p-expm1-u_binary64`
750×	`expm1-log1p-u_binary64`
729×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	206	30
2	2466	30

Stop Event

1×	node limit

Counts

4 → 68

Calls

Call 1

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

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

simplify91.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

908×	`fma-neg_binary64`
674×	`log-prod_binary64`
501×	`unswap-sqr_binary64`
260×	`log-pow_binary64`
208×	`sqr-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	908
1	298	854
2	1025	800
3	3827	792
4	7148	792

Stop Event

1×	node limit

Counts

92 → 68

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

eval23.0ms (0.2%)

Compiler: Compiled 998 to 810 computations (18.8% saved)

prune12.0ms (0.1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	68	8	76

Error

0.0b

Counts

76 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
✓	0.6b	(.f64 (pow.f64 (sqrt.f64 3) 2) (.f64 x x))
✓	31.5b	(.f64 (.f64 x (sqrt.f64 (.f64 x 3))) (sqrt.f64 (.f64 x 3)))
✓	0.2b	(.f64 (.f64 x 3) x)
✓	39.2b	(.f64 (sqrt.f64 (.f64 x (.f64 (.f64 x x) 3))) (sqrt.f64 (*.f64 x 3)))
✓	0.4b	(*.f64 3 (pow.f64 (/.f64 1 x) -2))
✓	0.2b	(.f64 3 (.f64 x x))
✓	23.5b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))

Compiler

Compiled 69 to 53 computations (23.2% saved)

regimes252.0ms (1.9%)

Accuracy

Total -44.6b remaining (-24818.3%)

Threshold costs -44.6b (-24818.3%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

243.0ms	(.f64 (.f64 x 3) x)
6.0ms	x

Results

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

Compiler

Compiled 96 to 70 computations (27.1% saved)

simplify2.0ms (0%)

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×	done
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%)

end18.0ms (0.1%)

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

Details

analyze3.0ms (0%)

sample556.0ms (4.2%)

preprocess17.0ms (0.1%)

simplify6.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0%)

series3.0ms (0%)

rewrite36.0ms (0.3%)

simplify42.0ms (0.3%)

eval5.0ms (0%)

prune7.0ms (0.1%)

localize4.0ms (0%)

series2.0ms (0%)

rewrite36.0ms (0.3%)

simplify45.0ms (0.3%)

localize8.0ms (0.1%)

series6.0ms (0%)

rewrite43.0ms (0.3%)

simplify55.0ms (0.4%)

localize11.0ms (0.1%)

series4.3s (32.4%)

rewrite48.0ms (0.4%)

simplify67.0ms (0.5%)

localize10.0ms (0.1%)

series5.0ms (0%)

rewrite46.0ms (0.3%)

simplify52.0ms (0.4%)

eval57.0ms (0.4%)

prune29.0ms (0.2%)

localize7.0ms (0.1%)

series6.0ms (0%)

rewrite44.0ms (0.3%)

simplify48.0ms (0.4%)

localize8.0ms (0.1%)

series6.0ms (0%)

rewrite43.0ms (0.3%)

simplify51.0ms (0.4%)

localize9.0ms (0.1%)

series3.0ms (0%)

rewrite40.0ms (0.3%)

simplify31.0ms (0.2%)

localize10.0ms (0.1%)

series3.7s (28.1%)

rewrite47.0ms (0.4%)

simplify38.0ms (0.3%)

localize13.0ms (0.1%)

series3.0ms (0%)

rewrite43.0ms (0.3%)

simplify31.0ms (0.2%)

eval53.0ms (0.4%)

prune30.0ms (0.2%)

localize16.0ms (0.1%)

series3.0s (22.4%)

rewrite56.0ms (0.4%)

simplify91.0ms (0.7%)

eval23.0ms (0.2%)

prune12.0ms (0.1%)

regimes252.0ms (1.9%)

simplify2.0ms (0%)

soundness0.0ms (0%)

end18.0ms (0.1%)

Profiling