Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample777.0ms (14.9%)

Results

765.0ms	8256×	body	256	valid
0.0ms	5×	body	256	invalid

preprocess136.0ms (2.6%)

Algorithm

2×	egg-herbie

Rules

1486×	`fma-def_binary64`
783×	`fma-neg_binary64`
357×	`associate-l_binary64`
315×	`distribute-rgt-neg-in_binary64`
295×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	17	13
2	45	11
3	116	11
4	241	11
5	320	11
6	475	11
7	807	11
8	1700	11
9	2569	11
10	3484	11
11	4668	11
12	5593	11
13	6032	11
14	6263	11
15	6564	11
16	7678	11
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Outputs
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
(.f64 x (.f64 x (+.f64 3 (*.f64 x -2))))
(.f64 x (.f64 x (fma.f64 x -2 3)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify142.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1486×	`fma-def_binary64`
783×	`fma-neg_binary64`
357×	`associate-l_binary64`
315×	`distribute-rgt-neg-in_binary64`
295×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	17	13
2	45	11
3	116	11
4	241	11
5	320	11
6	475	11
7	807	11
8	1700	11
9	2569	11
10	3484	11
11	4668	11
12	5593	11
13	6032	11
14	6263	11
15	6564	11
16	7678	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Outputs
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
(.f64 x (.f64 x (+.f64 3 (*.f64 x -2))))
(.f64 x (.f64 x (fma.f64 x -2 3)))

eval1.0ms (0%)

Compiler: Compiled 18 to 12 computations (33.3% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
▶	0.1b	(.f64 x (.f64 x (fma.f64 x -2 3)))

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize20.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (fma.f64 x -2 3))
✓	0.1b	(.f64 x (.f64 x (fma.f64 x -2 3)))

Compiler

Compiled 22 to 15 computations (31.8% saved)

series7.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite99.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`pow1_binary64`
601×	`add-log-exp_binary64`
600×	`log1p-expm1-u_binary64`
600×	`expm1-log1p-u_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	143	19
2	1613	19

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(.f64 x (.f64 x (fma.f64 x -2 3)))
(*.f64 x (fma.f64 x -2 3))

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

Outputs

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

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

simplify220.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
504×	`associate-l_binary64`
489×	`cube-prod_binary64`
484×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	264
1	33	264
2	66	246
3	158	210
4	446	210
5	1724	210
6	3420	210
7	3738	210
8	3989	210
9	4276	210
10	4655	210
11	5213	210
12	5831	210
13	6543	210
14	7012	210
15	7331	210
16	7599	210
17	7763	210
18	7855	210

Stop Event

1×	node limit

Counts

50 → 36

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 3 x)
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(*.f64 3 x)
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 2))
(.f64 (.f64 x x) -2)
(.f64 x (.f64 x -2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 2))
(.f64 (.f64 x x) -2)
(.f64 x (.f64 x -2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Compiler

Compiled 24 to 15 computations (37.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite60.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

857×	`pow1_binary64`
800×	`add-log-exp_binary64`
799×	`log1p-expm1-u_binary64`
799×	`expm1-log1p-u_binary64`
785×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	176	13
2	2201	13

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 (.f64 x x)) (.f64 (.f64 x -2) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) 3) (.f64 (.f64 x x) (.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x x) (-.f64 27 (.f64 8 (pow.f64 x 3)))) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x x) (-.f64 9 (.f64 (.f64 x x) 4))) (+.f64 3 (.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 (+.f64 3 (.f64 x -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 4) (pow.f64 (+.f64 3 (.f64 x -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (.f64 x (+.f64 3 (.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (+.f64 3 (.f64 x -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 3 (.f64 x -2)) 3) (pow.f64 (.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x x)) (*.f64 (*.f64 x -2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 3) (*.f64 (*.f64 x x) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (*.f64 8 (pow.f64 x 3))) (*.f64 x x)) (+.f64 9 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) (*.f64 x x)) (+.f64 3 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 27 (*.f64 8 (pow.f64 x 3)))) (+.f64 9 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 9 (*.f64 (*.f64 x x) 4))) (+.f64 3 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (+.f64 3 (*.f64 x -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (+.f64 3 (*.f64 x -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x (+.f64 3 (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 3 (*.f64 x -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 3 (*.f64 x -2)) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))))))

simplify174.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
490×	`fma-def_binary64`
489×	`cube-prod_binary64`
478×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	147
1	26	147
2	58	138
3	152	120
4	418	120
5	1671	120
6	3415	120
7	3771	120
8	4021	120
9	4308	120
10	4687	120
11	5244	120
12	5864	120
13	6570	120
14	7043	120
15	7360	120
16	7632	120
17	7802	120
18	7896	120

Stop Event

1×	node limit

Counts

31 → 24

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))

eval14.0ms (0.3%)

Compiler: Compiled 650 to 437 computations (32.8% saved)

prune58.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	52	8	60
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	53	9	62

Error

Counts

62 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
▶	17.6b	(.f64 3 (.f64 x x))
	17.6b	(.f64 x (.f64 3 x))
	21.4b	(*.f64 -2 (pow.f64 x 3))
▶	0.9b	(pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))) 3)
▶	6.2b	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
	0.2b	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
▶	21.5b	(.f64 x (.f64 x (*.f64 x -2)))

Compiler

Compiled 176 to 119 computations (32.4% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 x -2) x) (*.f64 3 x))
✓	0.1b	(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))

Compiler

Compiled 35 to 23 computations (34.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite102.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

517×	`log-prod_binary64`
430×	`prod-exp_binary64`
428×	`fma-def_binary64`
356×	`pow-prod-down_binary64`
355×	`exp-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	201	19
2	2733	19

Stop Event

1×	node limit

Counts

2 → 149

Calls

Call 1

Inputs
(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
(+.f64 (.f64 (.f64 x -2) x) (*.f64 3 x))

Outputs

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

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

simplify180.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
504×	`associate-l_binary64`
489×	`cube-prod_binary64`
484×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	264
1	33	264
2	66	246
3	158	210
4	446	210
5	1724	210
6	3420	210
7	3738	210
8	3989	210
9	4276	210
10	4655	210
11	5213	210
12	5831	210
13	6543	210
14	7012	210
15	7331	210
16	7599	210
17	7763	210
18	7855	210

Stop Event

1×	node limit

Counts

173 → 158

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 3 x)
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(*.f64 3 x)
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 2))
(.f64 (.f64 x x) -2)
(.f64 x (.f64 x -2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 2))
(.f64 (.f64 x x) -2)
(.f64 x (.f64 x -2))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))
(+.f64 (.f64 3 x) (.f64 -2 (pow.f64 x 2)))
(fma.f64 3 x (.f64 (.f64 x x) -2))
(.f64 x (+.f64 3 (.f64 x -2)))
(*.f64 x (fma.f64 x -2 3))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite42.0ms (0.8%)

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))))))))

simplify176.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
556×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
446×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	104	84
5	318	84
6	1268	84
7	2140	84
8	2304	84
9	2488	84
10	2696	84
11	2991	84
12	3382	84
13	3863	84
14	4431	84
15	5123	84
16	5958	84
17	6350	84
18	6640	84
19	6918	84
20	6988	84
21	7024	84
22	7965	84

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

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

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 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 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))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 x (*.f64 x -2)))

Compiler

Compiled 18 to 11 computations (38.9% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

551×	`pow1_binary64`
509×	`add-log-exp_binary64`
509×	`log1p-expm1-u_binary64`
509×	`expm1-log1p-u_binary64`
499×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	122	7
2	1415	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 x (.f64 x (*.f64 x -2)))

Outputs

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

simplify174.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1274×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
529×	`cube-prod_binary64`
471×	`fabs-mul_binary64`
438×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	15	84
2	32	84
3	56	84
4	114	84
5	326	84
6	1180	84
7	1869	84
8	1956	84
9	2089	84
10	2247	84
11	2486	84
12	2808	84
13	3231	84
14	3733	84
15	4335	84
16	5057	84
17	5378	84
18	5664	84
19	5886	84
20	6064	84
21	6144	84
22	7084	84

Stop Event

1×	node limit

Counts

23 → 12

Calls

Call 1

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

Outputs
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))

localize25.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 x x) 4)
✓	0.2b	(.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x))
✓	5.6b	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))

Compiler

Compiled 57 to 33 computations (42.1% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
0.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
0.0ms	x	@	inf	(.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x))
0.0ms	x	@	inf	(.f64 (.f64 x x) 4)

rewrite78.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

701×	`log-prod_binary64`
443×	`prod-diff_binary64`
257×	`fma-def_binary64`
237×	`expm1-udef_binary64`
237×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	294	36
2	3991	34

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x))
(.f64 (.f64 x x) 4)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x)))) (cbrt.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 9 (/.f64 (fma.f64 x 2 3) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x 4)) (/.f64 (fma.f64 x 2 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) -4 9) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) -4 9) (/.f64 1 (/.f64 (fma.f64 x 2 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) -4 9) (*.f64 (*.f64 x x) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (/.f64 1 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 9) 2) (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9)))) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))) 2) (cbrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))) (*.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))) (sqrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (*.f64 x x) -4 9) (*.f64 x (neg.f64 x))) (/.f64 1 (neg.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 2 3)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) (*.f64 x (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (+.f64 3 (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 x x) -4 9) 1) (/.f64 (*.f64 x x) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 9) 2) (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9)))) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))) 1) (/.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) 1) (/.f64 x (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (fma.f64 (*.f64 x x) -4 9) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 x x) -4 9) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 9) 2) (pow.f64 x 4))) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (cbrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (fma.f64 (*.f64 x x) -4 9) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 x x) -4 9) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 9) 2) (pow.f64 x 4))) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9)))) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -4 9)) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 x (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (fma.f64 (pow.f64 x 3) 8 27)) (fma.f64 (+.f64 x x) (fma.f64 x 2 -3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (fma.f64 (*.f64 x x) -4 9)) (+.f64 3 (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) (neg.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 3) (pow.f64 (fma.f64 x 2 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 3 (*.f64 -2 x)) (*.f64 x x))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) -4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 9) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) -4 9)) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) -4 9)) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) -4 9)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) -4 9)) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) -4 9)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 729 (*.f64 64 (pow.f64 (*.f64 x x) 3))) (*.f64 x x)) (+.f64 81 (fma.f64 16 (pow.f64 x 4) (*.f64 36 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 81 (*.f64 16 (pow.f64 x 4))) (*.f64 x x)) (fma.f64 x (*.f64 x 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 729 (*.f64 64 (pow.f64 (*.f64 x x) 3)))) (+.f64 81 (fma.f64 16 (pow.f64 x 4) (*.f64 36 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 81 (*.f64 16 (pow.f64 x 4)))) (fma.f64 x (*.f64 x 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -4 9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 9) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) -4 9)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (fma.f64 (*.f64 x x) -4 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -4 9) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -4 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 (*.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 (*.f64 x x) -4 9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) -4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 9 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) -4)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 64 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 64 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 x x))) 1))))))

simplify181.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

957×	`sqr-pow_binary64`
803×	`unswap-sqr_binary64`
542×	`cube-prod_binary64`
455×	`fabs-mul_binary64`
390×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	378
1	41	378
2	91	369
3	248	351
4	855	351
5	1543	351
6	2999	351
7	3118	351
8	3291	351
9	3506	351
10	3789	351
11	4165	351
12	4612	351
13	5163	351
14	5855	351
15	6314	351
16	6625	351
17	6893	351
18	7105	351
19	7295	351

Stop Event

1×	node limit

Counts

132 → 108

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(.f64 x (.f64 x (fma.f64 -4 (*.f64 x x) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(.f64 x (.f64 x (fma.f64 -4 (*.f64 x x) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(.f64 x (.f64 x (fma.f64 -4 (*.f64 x x) 9)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(.f64 x (.f64 x (fma.f64 -4 (*.f64 x x) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(.f64 x (.f64 x (fma.f64 -4 (*.f64 x x) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(.f64 x (.f64 x (fma.f64 -4 (*.f64 x x) 9)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(.f64 x (.f64 x (fma.f64 -4 (*.f64 x x) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(.f64 x (.f64 x (fma.f64 -4 (*.f64 x x) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(fma.f64 x (.f64 x 9) (.f64 -4 (pow.f64 x 4)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(.f64 x (.f64 x (fma.f64 -4 (*.f64 x x) 9)))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))

localize21.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))) 3)
✓	23.4b	(cbrt.f64 (.f64 (.f64 x x) (+.f64 3 (*.f64 x -2))))

Compiler

Compiled 46 to 29 computations (37% saved)

series10.0ms (0.2%)

Counts

3 → 28

Calls

9 calls:

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

rewrite128.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

468×	`log-prod_binary64`
430×	`prod-exp_binary64`
339×	`pow-prod-down_binary64`
331×	`exp-prod_binary64`
293×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	226	35
2	2656	35

Stop Event

1×	node limit

Counts

3 → 223

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 3)) 1) (*.f64 (*.f64 -2 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (fma.f64 x -2 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -2 3) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4)) (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (fma.f64 x -2 3)) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 3) 2)) (*.f64 (cbrt.f64 (fma.f64 x -2 3)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) (*.f64 x (sqrt.f64 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3)))) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -2 3)) (*.f64 (sqrt.f64 (fma.f64 x -2 3)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 x -2 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))) 5/6) (cbrt.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 (fma.f64 x -2 3))) 2) (cbrt.f64 (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -2 3))) (sqrt.f64 (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x -2 3) (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4)) 1) (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) (cbrt.f64 x)) 2) (cbrt.f64 (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) (pow.f64 (*.f64 -2 (pow.f64 x 3)) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2) (-.f64 (pow.f64 (*.f64 -2 (pow.f64 x 3)) 2) (*.f64 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2) (pow.f64 (*.f64 -2 (pow.f64 x 3)) 2)) (-.f64 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -8 (pow.f64 x 3) 27) (*.f64 x x)) (fma.f64 (*.f64 x -2) (fma.f64 x -2 -3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) (*.f64 x x)) (+.f64 3 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (fma.f64 -8 (pow.f64 x 3) 27)) (fma.f64 (*.f64 x -2) (fma.f64 x -2 -3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 9 (*.f64 (*.f64 x x) 4))) (+.f64 3 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (log.f64 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x x)) 1) (log.f64 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x x)) (*.f64 (log.f64 (fma.f64 x -2 3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (*.f64 (log.f64 (fma.f64 x -2 3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x x)) 1) (*.f64 (log.f64 (fma.f64 x -2 3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x -2 3)) 1) (log.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 x -2 3)) (*.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x -2 3)) 1) (*.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 x -2 3)) (*.f64 (log.f64 (*.f64 x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x -2 3)) 1) (*.f64 (log.f64 (*.f64 x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 1/3) (*.f64 2/3 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 1) (*.f64 2/3 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 3/2) (log.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3)))) (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 3/2) (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x (fma.f64 x -2 3))) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 3) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x (*.f64 x -2)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 -2 (*.f64 x x)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 3 (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x -2) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -2) (*.f64 x x) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2 (pow.f64 x 3)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -2 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -2)) 2) (*.f64 (cbrt.f64 (*.f64 x -2)) (*.f64 x x)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 3) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -2)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -2)) (*.f64 (sqrt.f64 (*.f64 x -2)) (*.f64 x x)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x 3)) 1 (*.f64 (*.f64 -2 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x 3))) 2) (cbrt.f64 (*.f64 -2 (pow.f64 x 3))) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 2) (cbrt.f64 (*.f64 x (*.f64 x 3))) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -2))) (*.f64 x (sqrt.f64 (*.f64 x -2))) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) x (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -2) x) x (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) -2) x (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 (*.f64 x -2))) 2) (cbrt.f64 (*.f64 x -2)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -2))) (sqrt.f64 (*.f64 x -2)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -2) (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 x 3)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 3)) 1) (*.f64 (*.f64 -2 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) (pow.f64 (*.f64 -2 (pow.f64 x 3)) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2) (-.f64 (pow.f64 (*.f64 -2 (pow.f64 x 3)) 2) (*.f64 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2) (pow.f64 (*.f64 -2 (pow.f64 x 3)) 2)) (-.f64 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -8 (pow.f64 x 3) 27) (*.f64 x x)) (fma.f64 (*.f64 x -2) (fma.f64 x -2 -3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) (*.f64 x x)) (+.f64 3 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (fma.f64 -8 (pow.f64 x 3) 27)) (fma.f64 (*.f64 x -2) (fma.f64 x -2 -3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 9 (*.f64 (*.f64 x x) 4))) (+.f64 3 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3)))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (log.f64 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x x)) 1) (log.f64 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x x)) (*.f64 (log.f64 (fma.f64 x -2 3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (*.f64 (log.f64 (fma.f64 x -2 3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x x)) 1) (*.f64 (log.f64 (fma.f64 x -2 3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x -2 3)) 1) (log.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 x -2 3)) (*.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x -2 3)) 1) (*.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 x -2 3)) (*.f64 (log.f64 (*.f64 x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x -2 3)) 1) (*.f64 (log.f64 (*.f64 x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 1/3) (*.f64 2/3 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 1) (*.f64 2/3 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2/3 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 3/2) (log.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3)))) (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 3/2) (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x (fma.f64 x -2 3))) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 3) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x (*.f64 x -2)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 -2 (*.f64 x x)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 3 (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x -2) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -2) (*.f64 x x) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2 (pow.f64 x 3)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -2 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -2)) 2) (*.f64 (cbrt.f64 (*.f64 x -2)) (*.f64 x x)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 3) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -2)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -2)) (*.f64 (sqrt.f64 (*.f64 x -2)) (*.f64 x x)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x 3)) 1 (*.f64 (*.f64 -2 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x 3))) 2) (cbrt.f64 (*.f64 -2 (pow.f64 x 3))) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 2) (cbrt.f64 (*.f64 x (*.f64 x 3))) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -2))) (*.f64 x (sqrt.f64 (*.f64 x -2))) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) x (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -2) x) x (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) -2) x (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 (*.f64 x -2))) 2) (cbrt.f64 (*.f64 x -2)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -2))) (sqrt.f64 (*.f64 x -2)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -2) (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 x 3)))))))

simplify69.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

899×	`fma-def_binary64`
629×	`fma-neg_binary64`
623×	`associate-+r+_binary64`
623×	`associate-+l+_binary64`
354×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	1020
1	430	845
2	1381	757
3	7070	754

Stop Event

1×	node limit

Counts

251 → 181

Calls

Call 1

Inputs
(*.f64 (cbrt.f64 -2) x)
(+.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)) 1/3) (*.f64 (cbrt.f64 -2) x))
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 7)) 1/3) (/.f64 1 x))) (+.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)) 1/3) (*.f64 (cbrt.f64 -2) x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 7)) 1/3) (/.f64 1 x))) (+.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)) 1/3) (+.f64 (.f64 (cbrt.f64 -2) x) (.f64 -1/3 (/.f64 (+.f64 (.f64 -6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)))) (/.f64 1 (pow.f64 (cbrt.f64 -2) 2))) (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 2)))))))
(.f64 -1 (.f64 (cbrt.f64 2) x))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 2) x)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 7)) 1/3) (/.f64 1 x)) (+.f64 (.f64 -1 (*.f64 (cbrt.f64 2) x)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3)))
(+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 -6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 7)) 1/3) (/.f64 1 x)) (+.f64 (.f64 -1 (*.f64 (cbrt.f64 2) x)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3))))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 -2 (pow.f64 x 3)) (.f64 (+.f64 (.f64 2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -2) 4)) 1/3)) (pow.f64 (pow.f64 (cbrt.f64 -2) 4) 1/3)) (pow.f64 x 2)))
(+.f64 (.f64 -2 (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -2) 4)) 1/3)) (pow.f64 (pow.f64 (cbrt.f64 -2) 4) 1/3)) (pow.f64 x 2)) (.f64 (+.f64 (.f64 2 (pow.f64 (/.f64 1 (cbrt.f64 -2)) 1/3)) (+.f64 (.f64 -1 (pow.f64 (/.f64 1 (cbrt.f64 -2)) 1/3)) (.f64 (+.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4)) 1/3) (*.f64 -2 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4)) 1/3))) (cbrt.f64 -2)))) x)))
(+.f64 (.f64 (+.f64 (pow.f64 1 1/3) (.f64 -2/3 (/.f64 (+.f64 (.f64 -6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)))) (/.f64 1 (pow.f64 (cbrt.f64 -2) 2))) (cbrt.f64 -2)))) (cbrt.f64 -2)) (+.f64 (.f64 -2 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)))) (+.f64 (.f64 -2 (pow.f64 x 3)) (+.f64 (.f64 -1/3 (+.f64 (.f64 -6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)))) (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)))) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -2) 4)) 1/3)) (pow.f64 (pow.f64 (cbrt.f64 -2) 4) 1/3)) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)) 1/3) (+.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4)) 1/3) (.f64 -2 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4)) 1/3)))) (.f64 (+.f64 (.f64 2 (pow.f64 (/.f64 1 (cbrt.f64 -2)) 1/3)) (+.f64 (.f64 -1 (pow.f64 (/.f64 1 (cbrt.f64 -2)) 1/3)) (.f64 (+.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4)) 1/3) (.f64 -2 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4)) 1/3))) (cbrt.f64 -2)))) x)))))))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 -2 (pow.f64 x 3)) (.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 2) 4) 1/3) (.f64 2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3))) (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)) (+.f64 (.f64 2 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)) (.f64 (cbrt.f64 2) (+.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3) (.f64 -2 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3)))))) x)) (+.f64 (.f64 -2 (pow.f64 x 3)) (.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 2) 4) 1/3) (.f64 2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3))) (pow.f64 x 2))))
(+.f64 (.f64 (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 -6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (cbrt.f64 2))) (.f64 -1 (pow.f64 1 1/3))) (cbrt.f64 2)) (+.f64 (.f64 -1/3 (+.f64 (.f64 -6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) (+.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3) (.f64 -2 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)) (+.f64 (.f64 2 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)) (.f64 (cbrt.f64 2) (+.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3) (.f64 -2 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3)))))) x)) (+.f64 (.f64 -2 (pow.f64 x 3)) (+.f64 (.f64 -2 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 2) 4) 1/3) (.f64 2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3))) (pow.f64 x 2))))))))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))

Outputs
(*.f64 (cbrt.f64 -2) x)
(+.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)) 1/3) (*.f64 (cbrt.f64 -2) x))
(+.f64 (*.f64 (cbrt.f64 -2) x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2))))
(fma.f64 (cbrt.f64 -2) x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 7)) 1/3) (/.f64 1 x))) (+.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)) 1/3) (*.f64 (cbrt.f64 -2) x)))
(fma.f64 -1 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 7))) (/.f64 1 x)) (+.f64 (.f64 (cbrt.f64 -2) x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)))))
(-.f64 (fma.f64 (cbrt.f64 -2) x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)))) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 7))) x))
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 7)) 1/3) (/.f64 1 x))) (+.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)) 1/3) (+.f64 (.f64 (cbrt.f64 -2) x) (.f64 -1/3 (/.f64 (+.f64 (.f64 -6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)))) (/.f64 1 (pow.f64 (cbrt.f64 -2) 2))) (*.f64 (pow.f64 (cbrt.f64 -2) 2) (pow.f64 x 2)))))))
(fma.f64 -1 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 7))) (/.f64 1 x)) (+.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2))) (fma.f64 (cbrt.f64 -2) x (.f64 -1/3 (/.f64 (fma.f64 -6 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)) (/.f64 1 (pow.f64 (cbrt.f64 -2) 2))) (.f64 (pow.f64 (cbrt.f64 -2) 2) (.f64 x x)))))))
(+.f64 (-.f64 (fma.f64 (cbrt.f64 -2) x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)))) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 7))) x)) (/.f64 -1/3 (/.f64 (.f64 (pow.f64 (cbrt.f64 -2) 2) (.f64 x x)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)) -5))))
(-.f64 (fma.f64 (cbrt.f64 -2) x (fma.f64 -1/3 (.f64 (/.f64 -1/2 (cbrt.f64 -2)) (/.f64 -5 (.f64 x x))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2))))) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 7))) x))
(.f64 -1 (.f64 (cbrt.f64 2) x))
(neg.f64 (*.f64 x (cbrt.f64 2)))
(*.f64 x (neg.f64 (cbrt.f64 2)))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 2) x)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3))
(fma.f64 -1 (*.f64 x (cbrt.f64 2)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))))
(-.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (*.f64 x (cbrt.f64 2)))
(+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 7)) 1/3) (/.f64 1 x)) (+.f64 (.f64 -1 (*.f64 (cbrt.f64 2) x)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3)))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 7))) (/.f64 1 x) (fma.f64 -1 (*.f64 x (cbrt.f64 2)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))))
(+.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (-.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 7))) x) (*.f64 x (cbrt.f64 2))))
(+.f64 (-.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (*.f64 x (cbrt.f64 2))) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 7))) x))
(+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 -6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 7)) 1/3) (/.f64 1 x)) (+.f64 (.f64 -1 (*.f64 (cbrt.f64 2) x)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3))))
(fma.f64 -1/3 (/.f64 (fma.f64 -6 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (.f64 (.f64 x x) (pow.f64 (cbrt.f64 2) 2))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 7))) (/.f64 1 x) (fma.f64 -1 (*.f64 x (cbrt.f64 2)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))))))
(+.f64 (-.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (.f64 x (cbrt.f64 2))) (fma.f64 -1/3 (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) -5) (.f64 x (.f64 x (pow.f64 (cbrt.f64 2) 2)))) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 7))) x)))
(+.f64 (-.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (.f64 x (cbrt.f64 2))) (fma.f64 -1/3 (.f64 (/.f64 1/2 (cbrt.f64 2)) (/.f64 -5 (*.f64 x x))) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 7))) x)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 -2 (pow.f64 x 3)) (.f64 (+.f64 (.f64 2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -2) 4)) 1/3)) (pow.f64 (pow.f64 (cbrt.f64 -2) 4) 1/3)) (pow.f64 x 2)))
(fma.f64 -2 (pow.f64 x 3) (.f64 (.f64 x x) (fma.f64 2 (cbrt.f64 (pow.f64 (cbrt.f64 -2) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 -2) 4)))))
(fma.f64 (.f64 x x) (.f64 3 (cbrt.f64 (pow.f64 (cbrt.f64 -2) 4))) (*.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 (.f64 -2 x) (.f64 3 (cbrt.f64 (*.f64 -2 (cbrt.f64 -2))))))
(+.f64 (.f64 -2 (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -2) 4)) 1/3)) (pow.f64 (pow.f64 (cbrt.f64 -2) 4) 1/3)) (pow.f64 x 2)) (.f64 (+.f64 (.f64 2 (pow.f64 (/.f64 1 (cbrt.f64 -2)) 1/3)) (+.f64 (.f64 -1 (pow.f64 (/.f64 1 (cbrt.f64 -2)) 1/3)) (.f64 (+.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4)) 1/3) (*.f64 -2 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4)) 1/3))) (cbrt.f64 -2)))) x)))
(fma.f64 -2 (pow.f64 x 3) (fma.f64 (fma.f64 2 (cbrt.f64 (pow.f64 (cbrt.f64 -2) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 -2) 4))) (.f64 x x) (.f64 x (fma.f64 2 (cbrt.f64 (/.f64 1 (cbrt.f64 -2))) (fma.f64 -1 (cbrt.f64 (/.f64 1 (cbrt.f64 -2))) (.f64 (cbrt.f64 -2) (.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4))))))))))
(fma.f64 -2 (pow.f64 x 3) (fma.f64 x (+.f64 (.f64 (cbrt.f64 -2) (neg.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4))))) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -2))) 1)) (.f64 x (.f64 x (*.f64 3 (cbrt.f64 (pow.f64 (cbrt.f64 -2) 4)))))))
(fma.f64 x (fma.f64 (cbrt.f64 -2) (neg.f64 (cbrt.f64 (/.f64 -1/2 (cbrt.f64 -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 -2)))) (.f64 (.f64 x x) (+.f64 (.f64 -2 x) (.f64 3 (cbrt.f64 (*.f64 -2 (cbrt.f64 -2)))))))
(fma.f64 x (-.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -2))) (.f64 (cbrt.f64 -2) (cbrt.f64 (/.f64 -1/2 (cbrt.f64 -2))))) (.f64 (.f64 x x) (+.f64 (.f64 -2 x) (.f64 3 (cbrt.f64 (.f64 -2 (cbrt.f64 -2)))))))
(+.f64 (.f64 (+.f64 (pow.f64 1 1/3) (.f64 -2/3 (/.f64 (+.f64 (.f64 -6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)))) (/.f64 1 (pow.f64 (cbrt.f64 -2) 2))) (cbrt.f64 -2)))) (cbrt.f64 -2)) (+.f64 (.f64 -2 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)))) (+.f64 (.f64 -2 (pow.f64 x 3)) (+.f64 (.f64 -1/3 (+.f64 (.f64 -6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)))) (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)))) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -2) 4)) 1/3)) (pow.f64 (pow.f64 (cbrt.f64 -2) 4) 1/3)) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)) 1/3) (+.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4)) 1/3) (.f64 -2 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4)) 1/3)))) (.f64 (+.f64 (.f64 2 (pow.f64 (/.f64 1 (cbrt.f64 -2)) 1/3)) (+.f64 (.f64 -1 (pow.f64 (/.f64 1 (cbrt.f64 -2)) 1/3)) (.f64 (+.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4)) 1/3) (.f64 -2 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4)) 1/3))) (cbrt.f64 -2)))) x)))))))
(fma.f64 (+.f64 1 (.f64 -2/3 (/.f64 (fma.f64 -6 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)) (/.f64 1 (pow.f64 (cbrt.f64 -2) 2))) (cbrt.f64 -2)))) (cbrt.f64 -2) (fma.f64 -2 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)) (fma.f64 -2 (pow.f64 x 3) (fma.f64 -1/3 (fma.f64 -6 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)) (/.f64 1 (pow.f64 (cbrt.f64 -2) 2))) (fma.f64 (fma.f64 2 (cbrt.f64 (pow.f64 (cbrt.f64 -2) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 -2) 4))) (.f64 x x) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2))) (.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4)))) (.f64 x (fma.f64 2 (cbrt.f64 (/.f64 1 (cbrt.f64 -2))) (fma.f64 -1 (cbrt.f64 (/.f64 1 (cbrt.f64 -2))) (.f64 (cbrt.f64 -2) (.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4))))))))))))))
(+.f64 (fma.f64 -2 (pow.f64 x 3) (fma.f64 -1/3 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)) -5) (fma.f64 (.f64 x x) (.f64 3 (cbrt.f64 (pow.f64 (cbrt.f64 -2) 4))) (fma.f64 x (+.f64 (.f64 (cbrt.f64 -2) (neg.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4))))) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -2))) 1)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2))) (neg.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 4))))))))) (fma.f64 (cbrt.f64 -2) (fma.f64 -2/3 (/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2)) -5) (cbrt.f64 -2)) 1) (/.f64 -2 (pow.f64 (cbrt.f64 -2) 2))))
(+.f64 (fma.f64 -1/3 (/.f64 -5 (pow.f64 (cbrt.f64 -2) 2)) (fma.f64 -2 (pow.f64 x 3) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2))) (neg.f64 (cbrt.f64 (/.f64 -1/2 (cbrt.f64 -2)))) (.f64 x (+.f64 (.f64 3 (.f64 (cbrt.f64 (.f64 -2 (cbrt.f64 -2))) x)) (fma.f64 (cbrt.f64 -2) (neg.f64 (cbrt.f64 (/.f64 -1/2 (cbrt.f64 -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 -2))))))))) (fma.f64 (cbrt.f64 -2) (fma.f64 -2/3 (/.f64 (/.f64 -5 (pow.f64 (cbrt.f64 -2) 2)) (cbrt.f64 -2)) 1) (/.f64 -2 (pow.f64 (cbrt.f64 -2) 2))))
(+.f64 (fma.f64 -1/3 (/.f64 -5 (pow.f64 (cbrt.f64 -2) 2)) (-.f64 (fma.f64 x (-.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -2))) (.f64 (cbrt.f64 -2) (cbrt.f64 (/.f64 -1/2 (cbrt.f64 -2))))) (.f64 (.f64 x x) (+.f64 (.f64 -2 x) (.f64 3 (cbrt.f64 (.f64 -2 (cbrt.f64 -2))))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -2) 2))) (cbrt.f64 (/.f64 -1/2 (cbrt.f64 -2)))))) (fma.f64 (cbrt.f64 -2) (fma.f64 -2/3 (/.f64 (/.f64 -5 (pow.f64 (cbrt.f64 -2) 2)) (cbrt.f64 -2)) 1) (/.f64 -2 (pow.f64 (cbrt.f64 -2) 2))))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 -2 (pow.f64 x 3)) (.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 2) 4) 1/3) (.f64 2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3))) (pow.f64 x 2)))
(fma.f64 -2 (pow.f64 x 3) (.f64 (.f64 x x) (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 2) 4)) (*.f64 2 (cbrt.f64 (pow.f64 (cbrt.f64 2) 4))))))
(fma.f64 (.f64 x x) (.f64 3 (cbrt.f64 (pow.f64 (cbrt.f64 2) 4))) (*.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 (.f64 -2 x) (.f64 3 (cbrt.f64 (*.f64 2 (cbrt.f64 2))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)) (+.f64 (.f64 2 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)) (.f64 (cbrt.f64 2) (+.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3) (.f64 -2 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3)))))) x)) (+.f64 (.f64 -2 (pow.f64 x 3)) (.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 2) 4) 1/3) (.f64 2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3))) (pow.f64 x 2))))
(fma.f64 -1 (.f64 x (fma.f64 -1 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (fma.f64 2 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (.f64 (cbrt.f64 2) (.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)))))))) (fma.f64 -2 (pow.f64 x 3) (.f64 (.f64 x x) (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 2) 4)) (.f64 2 (cbrt.f64 (pow.f64 (cbrt.f64 2) 4)))))))
(-.f64 (fma.f64 (.f64 x x) (.f64 3 (cbrt.f64 (pow.f64 (cbrt.f64 2) 4))) (.f64 -2 (pow.f64 x 3))) (.f64 x (+.f64 (.f64 (cbrt.f64 2) (neg.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4))))) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) 1))))
(-.f64 (.f64 (.f64 x x) (+.f64 (.f64 -2 x) (.f64 3 (cbrt.f64 (.f64 2 (cbrt.f64 2)))))) (.f64 x (fma.f64 (neg.f64 (cbrt.f64 2)) (cbrt.f64 (/.f64 1/2 (cbrt.f64 2))) (cbrt.f64 (/.f64 1 (cbrt.f64 2))))))
(fma.f64 -2 (pow.f64 x 3) (.f64 x (-.f64 (.f64 3 (.f64 (cbrt.f64 (.f64 2 (cbrt.f64 2))) x)) (fma.f64 (neg.f64 (cbrt.f64 2)) (cbrt.f64 (/.f64 1/2 (cbrt.f64 2))) (cbrt.f64 (/.f64 1 (cbrt.f64 2)))))))
(+.f64 (.f64 (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 -6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (cbrt.f64 2))) (.f64 -1 (pow.f64 1 1/3))) (cbrt.f64 2)) (+.f64 (.f64 -1/3 (+.f64 (.f64 -6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) (+.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3) (.f64 -2 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)) (+.f64 (.f64 2 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)) (.f64 (cbrt.f64 2) (+.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3) (.f64 -2 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3)))))) x)) (+.f64 (.f64 -2 (pow.f64 x 3)) (+.f64 (.f64 -2 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 2) 2)))) (.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 2) 4) 1/3) (.f64 2 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 2) 4)) 1/3))) (pow.f64 x 2))))))))
(fma.f64 (fma.f64 -2/3 (/.f64 (fma.f64 -6 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (cbrt.f64 2)) -1) (cbrt.f64 2) (fma.f64 -1/3 (fma.f64 -6 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)))) (fma.f64 -1 (.f64 x (fma.f64 -1 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (fma.f64 2 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) (.f64 (cbrt.f64 2) (.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)))))))) (fma.f64 -2 (pow.f64 x 3) (fma.f64 -2 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) (.f64 (.f64 x x) (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 2) 4)) (*.f64 2 (cbrt.f64 (pow.f64 (cbrt.f64 2) 4)))))))))))
(fma.f64 (cbrt.f64 2) (fma.f64 -2/3 (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) -5) (cbrt.f64 2)) -1) (fma.f64 -1/3 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) -5) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (neg.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4)))) (-.f64 (fma.f64 -2 (pow.f64 x 3) (fma.f64 (.f64 x x) (.f64 3 (cbrt.f64 (pow.f64 (cbrt.f64 2) 4))) (/.f64 -2 (pow.f64 (cbrt.f64 2) 2)))) (.f64 x (+.f64 (.f64 (cbrt.f64 2) (neg.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 4))))) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) 1)))))))
(fma.f64 -1/3 (/.f64 -5 (pow.f64 (cbrt.f64 2) 2)) (fma.f64 (cbrt.f64 2) (fma.f64 -2/3 (/.f64 (/.f64 -5 (pow.f64 (cbrt.f64 2) 2)) (cbrt.f64 2)) -1) (-.f64 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (neg.f64 (cbrt.f64 (/.f64 1/2 (cbrt.f64 2)))) (fma.f64 -2 (pow.f64 x 3) (fma.f64 x (.f64 3 (.f64 (cbrt.f64 (.f64 2 (cbrt.f64 2))) x)) (/.f64 -2 (pow.f64 (cbrt.f64 2) 2))))) (.f64 x (fma.f64 (neg.f64 (cbrt.f64 2)) (cbrt.f64 (/.f64 1/2 (cbrt.f64 2))) (cbrt.f64 (/.f64 1 (cbrt.f64 2))))))))
(fma.f64 -1/3 (/.f64 -5 (pow.f64 (cbrt.f64 2) 2)) (fma.f64 (cbrt.f64 2) (fma.f64 -2/3 (/.f64 (/.f64 -5 (pow.f64 (cbrt.f64 2) 2)) (cbrt.f64 2)) -1) (+.f64 (fma.f64 -2 (pow.f64 x 3) (.f64 x (-.f64 (.f64 3 (.f64 (cbrt.f64 (.f64 2 (cbrt.f64 2))) x)) (fma.f64 (neg.f64 (cbrt.f64 2)) (cbrt.f64 (/.f64 1/2 (cbrt.f64 2))) (cbrt.f64 (/.f64 1 (cbrt.f64 2))))))) (-.f64 (/.f64 -2 (pow.f64 (cbrt.f64 2) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 2))))))))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 x x) 3)
(.f64 (.f64 3 x) x)
(.f64 x (.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 (.f64 3 x) x))
(.f64 (.f64 x x) (+.f64 (*.f64 -2 x) 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 (.f64 3 x) x))
(.f64 (.f64 x x) (+.f64 (*.f64 -2 x) 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 (.f64 3 x) x))
(.f64 (.f64 x x) (+.f64 (*.f64 -2 x) 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 (.f64 3 x) x))
(.f64 (.f64 x x) (+.f64 (*.f64 -2 x) 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 (.f64 3 x) x))
(.f64 (.f64 x x) (+.f64 (*.f64 -2 x) 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 (.f64 3 x) x))
(.f64 (.f64 x x) (+.f64 (*.f64 -2 x) 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 (.f64 3 x) x))
(.f64 (.f64 x x) (+.f64 (*.f64 -2 x) 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 (.f64 3 x) x))
(.f64 (.f64 x x) (+.f64 (*.f64 -2 x) 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 (.f64 3 x) x))
(.f64 (.f64 x x) (+.f64 (*.f64 -2 x) 3))

eval370.0ms (7.1%)

Compiler: Compiled 8387 to 6045 computations (27.9% saved)

prune98.0ms (1.9%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	472	3	475
Fresh	2	1	3
Picked	1	0	1
Done	0	5	5
Total	475	9	484

Error

Counts

484 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
▶	18.0b	(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))
✓	6.2b	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
▶	21.4b	(*.f64 -2 (pow.f64 x 3))
▶	0.2b	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
✓	17.6b	(.f64 3 (.f64 x x))
▶	17.6b	(.f64 x (.f64 3 x))
✓	21.5b	(.f64 x (.f64 x (*.f64 x -2)))

Compiler

Compiled 92 to 62 computations (32.6% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -2 (pow.f64 x 3))

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite64.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`pow1_binary64`
497×	`add-sqr-sqrt_binary64`
474×	`add-log-exp_binary64`
473×	`log1p-expm1-u_binary64`
473×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1321	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite69.0ms (1.3%)

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 x (.f64 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))))))))

simplify177.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
556×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
446×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	104	84
5	318	84
6	1268	84
7	2140	84
8	2304	84
9	2488	84
10	2696	84
11	2991	84
12	3382	84
13	3863	84
14	4431	84
15	5123	84
16	5958	84
17	6350	84
18	6640	84
19	6918	84
20	6988	84
21	7024	84
22	7965	84

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

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

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 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 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))

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
✓	0.1b	(.f64 (.f64 x x) (*.f64 x -2))
✓	0.2b	(.f64 (.f64 x x) 3)

Compiler

Compiled 35 to 17 computations (51.4% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite85.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`log-prod_binary64`
497×	`fma-def_binary64`
408×	`prod-exp_binary64`
338×	`exp-prod_binary64`
328×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	199	25
2	2644	25

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (*.f64 x -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 9) -8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -2 (pow.f64 x 3)))) 2)) (cbrt.f64 (log.f64 (*.f64 -2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -2 (pow.f64 x 3))))) (sqrt.f64 (log.f64 (*.f64 -2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 9) -8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 x -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 9) -8)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x 3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x 3))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 x (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (log.f64 (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 x)) 1) (log.f64 (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2 (log.f64 x)) (*.f64 (log.f64 (*.f64 x -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (*.f64 (log.f64 (*.f64 x -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 x)) 1) (*.f64 (log.f64 (*.f64 x -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x -2)) 1) (*.f64 2 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x -2)) (*.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x -2)) 1) (*.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x -2)) (*.f64 (*.f64 2 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x -2)) 1) (*.f64 (*.f64 2 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x (*.f64 x -2))) (*.f64 (log.f64 x) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 4) (*.f64 (*.f64 x x) (fma.f64 x -2 -3))) (/.f64 (*.f64 (pow.f64 x 4) 9) (*.f64 (*.f64 x x) (fma.f64 x -2 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 x 3 (*.f64 x (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 x (*.f64 x -2) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (fma.f64 x -2 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4)) (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) (*.f64 x (sqrt.f64 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 6) 27 (*.f64 (pow.f64 x 9) -8)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 6) 4 (*.f64 (pow.f64 x 4) 9)) (*.f64 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 4) (*.f64 (pow.f64 x 4) 9)) (/.f64 1 (*.f64 (*.f64 x x) (fma.f64 x -2 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -2 3) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 6) 4 (*.f64 (pow.f64 x 4) 9)) (*.f64 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3)))) (fma.f64 (pow.f64 x 6) 27 (*.f64 (pow.f64 x 9) -8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 -3)) (-.f64 (*.f64 (pow.f64 x 6) 4) (*.f64 (pow.f64 x 4) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 6) 27 (*.f64 (pow.f64 x 9) -8)) (-.f64 (fma.f64 (pow.f64 x 6) 4 (*.f64 (pow.f64 x 4) 9)) (*.f64 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 6) 27 (*.f64 (pow.f64 x 9) -8)) (fma.f64 (pow.f64 x 4) 9 (-.f64 (*.f64 (pow.f64 x 6) 4) (*.f64 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 4) (*.f64 (pow.f64 x 4) 9)) (*.f64 (*.f64 x x) (fma.f64 x -2 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 6) 27 (*.f64 (pow.f64 x 9) -8))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 6) 4 (*.f64 (pow.f64 x 4) 9)) (*.f64 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 4) (*.f64 (pow.f64 x 4) 9))) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 4) 9) (*.f64 (pow.f64 x 6) 4)) (-.f64 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 6) 4 (*.f64 (pow.f64 x 4) 9)) (*.f64 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3)))) (fma.f64 (pow.f64 x 6) 27 (*.f64 (pow.f64 x 9) -8))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 -3)) (-.f64 (*.f64 (pow.f64 x 6) 4) (*.f64 (pow.f64 x 4) 9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 3)))) (pow.f64 (exp.f64 -2) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)) (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x 3)))) (pow.f64 (exp.f64 x) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -2) (pow.f64 x 3)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 x -2 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -2 3)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (log.f64 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 x)) 1) (log.f64 (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 x -2 3)) (*.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 x -2 3)) (*.f64 (*.f64 2 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x (*.f64 x -2)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 3) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 -2 (*.f64 x x)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 3 (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x -2) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 x x) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x 3)) 1 (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (pow.f64 x 3) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -2) (*.f64 x x) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (pow.f64 x 3)) 1 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2 (pow.f64 x 3)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -2 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 -2)) (pow.f64 (*.f64 x (cbrt.f64 -2)) 2) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -2)) 2) (*.f64 x (cbrt.f64 -2)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) (cbrt.f64 (*.f64 (pow.f64 x 4) 9)) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 9)) (cbrt.f64 (*.f64 x (*.f64 x 3))) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x (*.f64 x -2))) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -2)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 3) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -2)) 2) (*.f64 (cbrt.f64 (*.f64 x -2)) (*.f64 x x)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -2))) (*.f64 x (sqrt.f64 (*.f64 x -2))) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (*.f64 x -2))) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 3)) (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -2)) (*.f64 (sqrt.f64 (*.f64 x -2)) (*.f64 x x)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x -2)) x (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 3) x (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 (*.f64 x -2))) 2) (cbrt.f64 (*.f64 x -2)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -2))) (sqrt.f64 (*.f64 x -2)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -2) (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 -2 (pow.f64 x 3)))))))

simplify194.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
490×	`fma-def_binary64`
489×	`cube-prod_binary64`
478×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	315
1	26	315
2	58	306
3	152	288
4	418	288
5	1671	288
6	3415	288
7	3771	288
8	4021	288
9	4308	288
10	4687	288
11	5244	288
12	5864	288
13	6570	288
14	7043	288
15	7360	288
16	7632	288
17	7802	288
18	7896	288

Stop Event

1×	node limit

Counts

188 → 156

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (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 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))
✓	0.2b	(.f64 x (.f64 x 9))

Compiler

Compiled 32 to 23 computations (28.1% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 x (.f64 x 9))
1.0ms	x	@	-inf	(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))
0.0ms	x	@	inf	(.f64 x (.f64 x 9))
0.0ms	x	@	0	(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))
0.0ms	x	@	inf	(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))

rewrite74.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`log-prod_binary64`
423×	`exp-prod_binary64`
304×	`pow-prod-down_binary64`
269×	`pow2_binary64`
189×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	219	21
2	2888	21

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

Inputs
(.f64 x (.f64 x 9))
(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 x 2 3))) (*.f64 x 9))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 x 2 3))) (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 x 2 3))) (*.f64 x 9)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 x 2 3))) (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 1/9 (/.f64 (fma.f64 x 2 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x 9) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 9) (*.f64 x (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 9)) (/.f64 1 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 9 (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 9))) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 4)) (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) (*.f64 (*.f64 x 3) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -9) (/.f64 1 (neg.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 2 3)) (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (*.f64 x 9) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 9) 1) (/.f64 x (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 9 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 9))) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 3) 1) (/.f64 (*.f64 x 3) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (*.f64 x 9) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 9) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) -2) (/.f64 (*.f64 x (*.f64 x 9)) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 9 (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (*.f64 x 3) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (*.f64 x 9) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 9) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 x (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 2 3) -1/2) (/.f64 (*.f64 x (*.f64 x 9)) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 9 (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 9))) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x 9)) (fma.f64 (pow.f64 x 3) 8 27)) (fma.f64 (+.f64 x x) (fma.f64 x 2 -3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x 9)) (-.f64 9 (*.f64 (*.f64 x x) 4))) (+.f64 3 (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x 2 3) (pow.f64 (*.f64 x 3) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 x 3) 6) (pow.f64 (fma.f64 x 2 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 x 2 3) (pow.f64 (*.f64 x 3) -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 x 9)) (neg.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 x 2 3))) (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x 3) 6) (pow.f64 (fma.f64 x 2 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 2 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x 2 3) (pow.f64 (*.f64 x 3) -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x 2 3)) (*.f64 x 9))) 1) 1))))))

simplify58.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

933×	`fma-def_binary64`
510×	`associate-/l/_binary64`
439×	`times-frac_binary64`
426×	`fma-neg_binary64`
405×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	234
1	102	234
2	238	232
3	649	225
4	1880	219
5	4517	219

Stop Event

1×	node limit

Counts

111 → 105

Calls

Call 1

Inputs
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 9 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 3))))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 3)) (.f64 -8/9 (pow.f64 x 5)))))
(*.f64 9/2 x)
(-.f64 (*.f64 9/2 x) 27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) 27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))
(*.f64 9/2 x)
(-.f64 (*.f64 9/2 x) 27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) 27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))

Outputs
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 9 x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 x x) 3)
(.f64 x (.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 (.f64 x x) 3 (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 3))))
(fma.f64 3 (.f64 x x) (fma.f64 4/3 (pow.f64 x 4) (.f64 -2 (pow.f64 x 3))))
(fma.f64 (.f64 x x) 3 (fma.f64 -2 (pow.f64 x 3) (.f64 4/3 (pow.f64 x 4))))
(fma.f64 4/3 (pow.f64 x 4) (.f64 (.f64 x x) (+.f64 3 (*.f64 x -2))))
(fma.f64 (.f64 x x) (fma.f64 x -2 3) (.f64 4/3 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x 4/3 -2) 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 3)) (.f64 -8/9 (pow.f64 x 5)))))
(fma.f64 3 (.f64 x x) (fma.f64 4/3 (pow.f64 x 4) (fma.f64 -2 (pow.f64 x 3) (.f64 -8/9 (pow.f64 x 5)))))
(fma.f64 (.f64 x x) 3 (fma.f64 4/3 (pow.f64 x 4) (fma.f64 -2 (pow.f64 x 3) (.f64 -8/9 (pow.f64 x 5)))))
(fma.f64 x (.f64 x 3) (fma.f64 -2 (pow.f64 x 3) (fma.f64 4/3 (pow.f64 x 4) (.f64 -8/9 (pow.f64 x 5)))))
(fma.f64 x (.f64 x (fma.f64 x -2 3)) (fma.f64 4/3 (pow.f64 x 4) (.f64 -8/9 (pow.f64 x 5))))
(fma.f64 (.f64 x x) (fma.f64 x (fma.f64 x 4/3 -2) 3) (.f64 -8/9 (pow.f64 x 5)))
(*.f64 9/2 x)
(*.f64 x 9/2)
(-.f64 (*.f64 9/2 x) 27/4)
(fma.f64 9/2 x -27/4)
(fma.f64 x 9/2 -27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) 27/4)
(+.f64 (fma.f64 9/2 x (/.f64 81/8 x)) -27/4)
(+.f64 (/.f64 81/8 x) (fma.f64 x 9/2 -27/4))
(+.f64 (fma.f64 x 9/2 -27/4) (/.f64 81/8 x))
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 9/2 x (/.f64 81/8 x)) (+.f64 27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 (/.f64 81/8 x)) (-.f64 -27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (/.f64 81/8 x) (+.f64 (fma.f64 x 9/2 -27/4) (/.f64 -243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 -27/4) (+.f64 (/.f64 81/8 x) (/.f64 -243/16 (*.f64 x x))))
(+.f64 (/.f64 81/8 x) (+.f64 (/.f64 -243/16 (*.f64 x x)) (fma.f64 x 9/2 -27/4)))
(*.f64 9/2 x)
(*.f64 x 9/2)
(-.f64 (*.f64 9/2 x) 27/4)
(fma.f64 9/2 x -27/4)
(fma.f64 x 9/2 -27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) 27/4)
(+.f64 (fma.f64 9/2 x (/.f64 81/8 x)) -27/4)
(+.f64 (/.f64 81/8 x) (fma.f64 x 9/2 -27/4))
(+.f64 (fma.f64 x 9/2 -27/4) (/.f64 81/8 x))
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 9/2 x (/.f64 81/8 x)) (+.f64 27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 (/.f64 81/8 x)) (-.f64 -27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (/.f64 81/8 x) (+.f64 (fma.f64 x 9/2 -27/4) (/.f64 -243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 -27/4) (+.f64 (/.f64 81/8 x) (/.f64 -243/16 (*.f64 x x))))
(+.f64 (/.f64 81/8 x) (+.f64 (/.f64 -243/16 (*.f64 x x)) (fma.f64 x 9/2 -27/4)))

eval135.0ms (2.6%)

Compiler: Compiled 4271 to 3104 computations (27.3% saved)

prune56.0ms (1.1%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	286	2	288
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	286	11	297

Error

Counts

297 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
▶	62.6b	(-.f64 (*.f64 9/2 x) 27/4)
✓	18.0b	(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))
✓	6.2b	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
▶	61.0b	(*.f64 x 9/2)
✓	21.4b	(*.f64 -2 (pow.f64 x 3))
✓	0.2b	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
✓	17.6b	(.f64 3 (.f64 x x))
✓	17.6b	(.f64 x (.f64 3 x))
✓	21.5b	(.f64 x (.f64 x (*.f64 x -2)))

Compiler

Compiled 102 to 70 computations (31.4% saved)

localize3.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 9/2 x) 27/4)

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 3

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (*.f64 9/2 x) 27/4)
0.0ms	x	@	inf	(-.f64 (*.f64 9/2 x) 27/4)
0.0ms	x	@	-inf	(-.f64 (*.f64 9/2 x) 27/4)

rewrite54.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`pow1_binary64`
612×	`add-log-exp_binary64`
612×	`log1p-expm1-u_binary64`
612×	`expm1-log1p-u_binary64`
603×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	135	5
2	1602	5

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(-.f64 (*.f64 9/2 x) 27/4)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9/2 x) -27/4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -27/4 (*.f64 9/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 9/2 x -27/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 9/2 x -27/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9/2 x -27/4)) (pow.f64 (cbrt.f64 (fma.f64 9/2 x -27/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 9/2 x -27/4)) 2) (cbrt.f64 (fma.f64 9/2 x -27/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 9/2 x -27/4)) (sqrt.f64 (fma.f64 9/2 x -27/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 3) -19683/64) (/.f64 1 (+.f64 (pow.f64 (*.f64 9/2 x) 2) (+.f64 729/16 (*.f64 x 243/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 2) -729/16) (/.f64 1 (fma.f64 9/2 x 27/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 2) (+.f64 729/16 (*.f64 x 243/8))) (+.f64 (pow.f64 (*.f64 9/2 x) 3) -19683/64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 9/2 x 27/4) (+.f64 (pow.f64 (*.f64 9/2 x) 2) -729/16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 3) -19683/64) (+.f64 (pow.f64 (*.f64 9/2 x) 2) (+.f64 729/16 (*.f64 x 243/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 3) -19683/64) (+.f64 (pow.f64 (*.f64 9/2 x) 2) (-.f64 729/16 (*.f64 (*.f64 9/2 x) -27/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 2) -729/16) (fma.f64 9/2 x 27/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 2) -729/16) (-.f64 (*.f64 9/2 x) -27/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 3) -19683/64)) (neg.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 2) (+.f64 729/16 (*.f64 x 243/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 9/2 x) 2) -729/16)) (neg.f64 (fma.f64 9/2 x 27/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9/2 x -27/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9/2 x -27/4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 9/2 x -27/4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9/2 x -27/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 9/2 x -27/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 9/2 x -27/4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9/2 x -27/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 9/2 x -27/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 9/2 x -27/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 9/2 x -27/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9/2 x -27/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 9/2 -27/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 9/2 x) -27/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 9/2 x)) 2) (cbrt.f64 (*.f64 9/2 x)) -27/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 9/2 x)) (sqrt.f64 (*.f64 9/2 x)) -27/4)))))

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	6	9

Stop Event

1×

saturated

Counts

35 → 34

Calls

Call 1

Inputs
-27/4
(*.f64 9/2 x)
(*.f64 9/2 x)

Outputs
-27/4
(*.f64 9/2 x)
(*.f64 9/2 x)

eval21.0ms (0.4%)

Compiler: Compiled 336 to 283 computations (15.8% saved)

prune9.0ms (0.2%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	0	0
Picked	1	0	1
Done	0	10	10
Total	34	11	45

Error

Counts

45 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
✓	18.0b	(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))
✓	6.2b	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
✓	61.0b	(*.f64 x 9/2)
✓	21.4b	(*.f64 -2 (pow.f64 x 3))
✓	0.2b	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
✓	17.6b	(.f64 3 (.f64 x x))
✓	17.6b	(.f64 x (.f64 3 x))
	62.3b	-27/4
✓	21.5b	(.f64 x (.f64 x (*.f64 x -2)))

Compiler

Compiled 98 to 67 computations (31.6% saved)

regimes29.0ms (0.5%)

Counts

16 → 1

Calls

Call 1

Inputs
-27/4
(*.f64 x 9/2)
(-.f64 (*.f64 9/2 x) 27/4)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(.f64 x (.f64 x (*.f64 x -2)))
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))
(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(*.f64 -2 (pow.f64 x 3))
(*.f64 -2 (pow.f64 x 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))) 3)

Outputs
(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))

Calls

3 calls:

11.0ms	x
8.0ms	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
5.0ms	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))`
0.1b	1	`(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))`

Compiler

Compiled 145 to 93 computations (35.9% saved)

regimes12.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

Inputs
-27/4
(*.f64 x 9/2)
(-.f64 (*.f64 9/2 x) 27/4)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(.f64 x (.f64 x (*.f64 x -2)))
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(/.f64 (.f64 x (.f64 x 9)) (+.f64 3 (*.f64 x 2)))

Outputs
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Calls

2 calls:

6.0ms	x
4.0ms	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))`

Compiler

Compiled 64 to 42 computations (34.4% saved)

regimes41.0ms (0.8%)

Counts

7 → 3

Calls

Call 1

Inputs
-27/4
(*.f64 x 9/2)
(-.f64 (*.f64 9/2 x) 27/4)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(.f64 x (.f64 x (*.f64 x -2)))

Outputs
(.f64 x (.f64 x (*.f64 x -2)))
(.f64 x (.f64 3 x))
(.f64 x (.f64 x (*.f64 x -2)))

Calls

1 calls:

40.0ms

Results

Error	Segments	Branch
1.5b	3	`x`

Compiler

Compiled 34 to 22 computations (35.3% saved)

bsearch158.0ms (3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	2.2847777077475873e-8	1511.9668374146165
17.0ms	-13.248795400824125	-7.478728095862077e-9

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes7.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
-27/4
(*.f64 x 9/2)
(-.f64 (*.f64 9/2 x) 27/4)
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
17.6b	1	`x`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes5.0ms (0.1%)

Accuracy

Total -1.6b remaining (-2.6%)

Threshold costs -1.6b (-2.6%)

Counts

3 → 1

Calls

Call 1

Inputs
-27/4
(*.f64 x 9/2)
(-.f64 (*.f64 9/2 x) 27/4)

Outputs
(*.f64 x 9/2)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
61.0b	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	80
1	42	80
2	52	80
3	60	80
4	78	80
5	86	80
6	89	80
7	90	80

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(if (<=.f64 x -3729204376891217/281474976710656) (.f64 x (.f64 x (.f64 x -2))) (if (<=.f64 x 1726329226859991/75557863725914323419136) (.f64 x (.f64 3 x)) (.f64 x (.f64 x (.f64 x -2)))))
(.f64 x (.f64 3 x))
(*.f64 x 9/2)
-27/4

Outputs
(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
(.f64 x (+.f64 (.f64 x (.f64 x -2)) (.f64 x 3)))
(.f64 x (-.f64 (.f64 x 3) (.f64 x (.f64 x 2))))
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(if (<=.f64 x -3729204376891217/281474976710656) (.f64 x (.f64 x (.f64 x -2))) (if (<=.f64 x 1726329226859991/75557863725914323419136) (.f64 x (.f64 3 x)) (.f64 x (.f64 x (.f64 x -2)))))
(if (<=.f64 x -3729204376891217/281474976710656) (.f64 x (.f64 x (.f64 x -2))) (if (<=.f64 x 1726329226859991/75557863725914323419136) (.f64 x (.f64 x 3)) (.f64 x (.f64 x (.f64 x -2)))))
(.f64 x (.f64 3 x))
(.f64 x (.f64 x 3))
(*.f64 x 9/2)
-27/4

Compiler

Compiled 62 to 42 computations (32.3% saved)

soundness314.0ms (6%)

Algorithm

1×	egg-herbie

Rules

1486×	`fma-def_binary64`
783×	`fma-neg_binary64`
357×	`associate-l_binary64`
315×	`distribute-rgt-neg-in_binary64`
295×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	17	13
2	45	11
3	116	11
4	241	11
5	320	11
6	475	11
7	807	11
8	1700	11
9	2569	11
10	3484	11
11	4668	11
12	5593	11
13	6032	11
14	6263	11
15	6564	11
16	7678	11

Stop Event

1×	node limit

Compiler

Compiled 83 to 59 computations (28.9% saved)

end91.0ms (1.8%)

Compiler: Compiled 57 to 37 computations (35.1% saved)

Details

analyze4.0ms (0.1%)

sample777.0ms (14.9%)

preprocess136.0ms (2.6%)

simplify142.0ms (2.7%)

eval1.0ms (0%)

prune2.0ms (0%)

localize20.0ms (0.4%)

series7.0ms (0.1%)

rewrite99.0ms (1.9%)

simplify220.0ms (4.2%)

localize9.0ms (0.2%)

series1.0ms (0%)

rewrite60.0ms (1.1%)

simplify174.0ms (3.3%)

eval14.0ms (0.3%)

prune58.0ms (1.1%)

localize13.0ms (0.3%)

series2.0ms (0%)

rewrite102.0ms (2%)

simplify180.0ms (3.5%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite42.0ms (0.8%)

simplify176.0ms (3.4%)

localize7.0ms (0.1%)

series2.0ms (0%)

rewrite50.0ms (1%)

simplify174.0ms (3.4%)

localize25.0ms (0.5%)

series4.0ms (0.1%)

rewrite78.0ms (1.5%)

simplify181.0ms (3.5%)

localize21.0ms (0.4%)

series10.0ms (0.2%)

rewrite128.0ms (2.5%)

simplify69.0ms (1.3%)

eval370.0ms (7.1%)

prune98.0ms (1.9%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite64.0ms (1.2%)

simplify9.0ms (0.2%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite69.0ms (1.3%)

simplify177.0ms (3.4%)

localize14.0ms (0.3%)

series3.0ms (0.1%)

rewrite85.0ms (1.6%)

simplify194.0ms (3.7%)

localize14.0ms (0.3%)

series4.0ms (0.1%)

rewrite74.0ms (1.4%)

simplify58.0ms (1.1%)

eval135.0ms (2.6%)

prune56.0ms (1.1%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite54.0ms (1%)

simplify8.0ms (0.2%)

eval21.0ms (0.4%)

prune9.0ms (0.2%)

regimes29.0ms (0.5%)

regimes12.0ms (0.2%)

regimes41.0ms (0.8%)

bsearch158.0ms (3%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

simplify11.0ms (0.2%)

soundness314.0ms (6%)

end91.0ms (1.8%)

Profiling