Details

analyze6.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	37.5%	12.5%	4
62.5%	18.7%	18.8%	5
68.7%	9.4%	21.9%	6
71.8%	4.7%	23.5%	7
73.4%	2.3%	24.3%	8
74.2%	1.2%	24.6%	9
74.6%	0.6%	24.8%	10
74.8%	0.3%	24.9%	11
74.9%	0.1%	25%	12
74.9%	0.1%	25.1%	13
74.9%	0%	25.1%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample857.0ms (40%)

Results

846.0ms	8256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 30 to 24 computations (20% saved)

preprocess53.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

972×	`fma-def_binary64`
722×	`fma-neg_binary64`
154×	`cancel-sign-sub-inv_binary64`
107×	`distribute-rgt-in_binary64`
80×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	33	14
2	76	12
3	182	12
4	377	9
5	542	9
6	869	9
7	1535	9
8	2446	9
9	2827	9
10	2939	9
11	3065	9
12	3071	9
13	3071	9
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))

Outputs
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
(.f64 3 (+.f64 (fma.f64 (.f64 3 x) x (neg.f64 (*.f64 x 4))) 1))
(fma.f64 3 (.f64 x (-.f64 (.f64 3 x) 4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))
(fma.f64 x (fma.f64 x 9 -12) 3)

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify43.0ms (2%)

Algorithm

1×	egg-herbie

Rules

972×	`fma-def_binary64`
722×	`fma-neg_binary64`
154×	`cancel-sign-sub-inv_binary64`
107×	`distribute-rgt-in_binary64`
80×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	33	14
2	76	12
3	182	12
4	377	9
5	542	9
6	869	9
7	1535	9
8	2446	9
9	2827	9
10	2939	9
11	3065	9
12	3071	9
13	3071	9

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))

Outputs
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
(.f64 3 (+.f64 (fma.f64 (.f64 3 x) x (neg.f64 (*.f64 x 4))) 1))
(fma.f64 3 (.f64 x (-.f64 (.f64 3 x) 4)) 3)
(*.f64 3 (fma.f64 x (fma.f64 3 x -4) 1))
(fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))
(fma.f64 x (fma.f64 x 9 -12) 3)

prune3.0ms (0.1%)

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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
▶	0.1b	(fma.f64 x (fma.f64 x 9 -12) 3)

Compiler

Compiled 65 to 50 computations (23.1% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x 9 -12)
✓	0.1b	(fma.f64 x (fma.f64 x 9 -12) 3)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(fma.f64 x (fma.f64 x 9 -12) 3)
1.0ms	x	@	-inf	(fma.f64 x (fma.f64 x 9 -12) 3)
0.0ms	x	@	inf	(fma.f64 x (fma.f64 x 9 -12) 3)
0.0ms	x	@	-inf	(fma.f64 x 9 -12)
0.0ms	x	@	inf	(fma.f64 x 9 -12)

rewrite36.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

607×	`pow1_binary64`
568×	`add-log-exp_binary64`
568×	`log1p-expm1-u_binary64`
568×	`expm1-log1p-u_binary64`
66×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	142	14
2	1495	14

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(fma.f64 x (fma.f64 x 9 -12) 3)
(fma.f64 x 9 -12)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (.f64 x (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (fma.f64 x 9 -12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (fma.f64 x 9 -12)) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 9 -12) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (fma.f64 x 9 -12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 9 -12)) 3) 27) (+.f64 (.f64 (.f64 x (fma.f64 x 9 -12)) (.f64 x (fma.f64 x 9 -12))) (-.f64 9 (.f64 (.f64 x (fma.f64 x 9 -12)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x (fma.f64 x 9 -12)) (.f64 x (fma.f64 x 9 -12))) 9) (-.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 9 -12) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -12 (.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 9) -12)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 9) 1) -12)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 9 -12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 9 -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x 9 -12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x 9 -12)) (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2) (cbrt.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 9 -12)) (sqrt.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x 9) 3) -1728) (+.f64 (.f64 (.f64 x 9) (.f64 x 9)) (-.f64 144 (.f64 (.f64 x 9) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x 9) (.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 9 -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 9 -12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 9 -12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 9 -12) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 -12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 9 -12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 9 -12)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (*.f64 x (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x 9 -12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 x 9 -12)) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 9 -12) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (fma.f64 x 9 -12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 9 -12)) 3) 27) (+.f64 (*.f64 (*.f64 x (fma.f64 x 9 -12)) (*.f64 x (fma.f64 x 9 -12))) (-.f64 9 (*.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 x 9 -12)) (*.f64 x (fma.f64 x 9 -12))) 9) (-.f64 (*.f64 x (fma.f64 x 9 -12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 9 -12) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9 -12) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x 9 -12) 3)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -12 (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 9) -12)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 9) 1) -12)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 9 -12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 9 -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 9 -12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 9 -12)) (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 2) (cbrt.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 9 -12)) (sqrt.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 9) 3) -1728) (+.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) (-.f64 144 (*.f64 (*.f64 x 9) -12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 9) (*.f64 x 9)) 144) (-.f64 (*.f64 x 9) -12))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 9 -12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 9 -12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 9 -12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 9 -12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 9 -12) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 9 -12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 9 -12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 9 -12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 9 -12)))))))

simplify66.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

532×	`associate-l_binary64`
494×	`fma-def_binary64`
434×	`unswap-sqr_binary64`
370×	`sqr-pow_binary64`
327×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	180
1	35	168
2	56	156
3	88	144
4	192	144
5	531	144
6	1764	144
7	3092	144
8	3297	144
9	3509	144
10	3729	144
11	4037	144
12	4437	144
13	4947	144

Stop Event

1×	node limit

Counts

68 → 58

Calls

Call 1

Inputs
3
(+.f64 (*.f64 -12 x) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
-12
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(*.f64 9 x)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(*.f64 9 x)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)
(-.f64 (*.f64 9 x) 12)

Outputs
3
(+.f64 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3))
(+.f64 3 (*.f64 x (fma.f64 x 9 -12)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3))
(+.f64 3 (*.f64 x (fma.f64 x 9 -12)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3))
(+.f64 3 (*.f64 x (fma.f64 x 9 -12)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3))
(+.f64 3 (*.f64 x (fma.f64 x 9 -12)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 9 (.f64 x x) (.f64 -12 x))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3))
(+.f64 3 (*.f64 x (fma.f64 x 9 -12)))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3))
(+.f64 3 (*.f64 x (fma.f64 x 9 -12)))
(fma.f64 x (fma.f64 x 9 -12) 3)
-12
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(fma.f64 x 9 -12)
(*.f64 9 x)
(*.f64 x 9)
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(fma.f64 x 9 -12)
(*.f64 9 x)
(*.f64 x 9)
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(fma.f64 x 9 -12)
(-.f64 (*.f64 9 x) 12)
(fma.f64 9 x -12)
(fma.f64 x 9 -12)

prune50.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	56	4	60

Error

Counts

60 → 4

Alt Table

Status	Error	Program
	0.3b	(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 9 -12) 3)) 2))
	0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
▶	0.1b	(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
✓	0.1b	(fma.f64 x (fma.f64 x 9 -12) 3)

Compiler

Compiled 713 to 559 computations (21.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
✓	0.2b	(*.f64 9 (pow.f64 x 2))

series3.0ms (0.1%)

Counts

2 → 6

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 9 (pow.f64 x 2))
1.0ms	x	@	inf	(*.f64 9 (pow.f64 x 2))
0.0ms	x	@	inf	(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
0.0ms	x	@	0	(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
0.0ms	x	@	-inf	(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))

rewrite52.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

479×	`log-prod_binary64`
408×	`fma-def_binary64`
228×	`fma-neg_binary64`
200×	`expm1-udef_binary64`
200×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	247	19
2	3065	19

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

Inputs
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 9 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 9 (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 9 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 9 (.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 729) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 4) 81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 9 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 729))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 9 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 9 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 9 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 9 (.f64 x x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -12 (fma.f64 9 (.f64 x x) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 x x) 144) (-.f64 (.f64 x -12) (fma.f64 9 (.f64 x x) 3))) (/.f64 (pow.f64 (fma.f64 9 (.f64 x x) 3) 2) (-.f64 (.f64 x -12) (fma.f64 9 (.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x -12 (fma.f64 9 (.f64 x x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x -12 (fma.f64 9 (.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 9 (.f64 x x) 3))) (pow.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 9 (.f64 x x) 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 9 (.f64 x x) 3))) 2) (cbrt.f64 (fma.f64 x -12 (fma.f64 9 (.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 (.f64 x 3) (sqrt.f64 (fma.f64 x -12 3))) (hypot.f64 (.f64 x 3) (sqrt.f64 (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (.f64 x x) 3) 3)) (/.f64 1 (fma.f64 (fma.f64 9 (.f64 x x) 3) (-.f64 (fma.f64 9 (.f64 x x) 3) (.f64 x -12)) (.f64 (.f64 x x) 144))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (.f64 x x) 144) (pow.f64 (fma.f64 9 (.f64 x x) 3) 2)) (/.f64 1 (-.f64 (.f64 x -12) (fma.f64 9 (.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 9 (.f64 x x) 3) (-.f64 (fma.f64 9 (.f64 x x) 3) (.f64 x -12)) (.f64 (.f64 x x) 144)) (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (.f64 x x) 3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (.f64 x -12) (fma.f64 9 (.f64 x x) 3)) (-.f64 (.f64 (.f64 x x) 144) (pow.f64 (fma.f64 9 (.f64 x x) 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (.f64 x x) 3) 3)) (fma.f64 (fma.f64 9 (.f64 x x) 3) (-.f64 (fma.f64 9 (.f64 x x) 3) (.f64 x -12)) (.f64 (.f64 x x) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (.f64 x x) 3) 3)) (+.f64 (pow.f64 (fma.f64 9 (.f64 x x) 3) 2) (-.f64 (.f64 (.f64 x x) 144) (.f64 x (.f64 -12 (fma.f64 9 (.f64 x x) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x x) 144) (pow.f64 (fma.f64 9 (.f64 x x) 3) 2)) (-.f64 (.f64 x -12) (fma.f64 9 (.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (.f64 x x) 3) 3))) (neg.f64 (fma.f64 (fma.f64 9 (.f64 x x) 3) (-.f64 (fma.f64 9 (.f64 x x) 3) (.f64 x -12)) (.f64 (.f64 x x) 144))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 144) (pow.f64 (fma.f64 9 (.f64 x x) 3) 2))) (neg.f64 (-.f64 (.f64 x -12) (fma.f64 9 (.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x -12 3) 3) (.f64 (pow.f64 (.f64 x x) 3) 729)) (fma.f64 (fma.f64 x -12 3) (fma.f64 x -12 3) (-.f64 (.f64 (pow.f64 x 4) 81) (.f64 (fma.f64 x -12 3) (.f64 9 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 9 (.f64 x x) 3) 2) (.f64 (.f64 x x) 144)) (-.f64 (fma.f64 9 (.f64 x x) 3) (.f64 x -12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (fma.f64 x -12 3) (fma.f64 x -12 3)) (.f64 (pow.f64 x 4) 81)) (-.f64 (fma.f64 x -12 3) (.f64 9 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -12 (fma.f64 9 (.f64 x x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -12 (fma.f64 9 (.f64 x x) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 9 (.f64 x x) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (.f64 x 3) (sqrt.f64 (fma.f64 x -12 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -12 (fma.f64 9 (.f64 x x) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -12 (fma.f64 9 (.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -12 (fma.f64 9 (.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9) (exp.f64 (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 9 (.f64 x x)))) (exp.f64 (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x -12))) (exp.f64 (fma.f64 9 (.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 x) -12) (+.f64 1 (expm1.f64 (fma.f64 9 (.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x -12))) (+.f64 1 (expm1.f64 (fma.f64 9 (.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 9 (.f64 x x) 3))) (pow.f64 (exp.f64 x) -12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (fma.f64 9 (.f64 x x) 3)) (+.f64 1 (expm1.f64 (.f64 x -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 9 (.f64 x x) 3))) (+.f64 1 (expm1.f64 (.f64 x -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (fma.f64 x -12 3)) (+.f64 1 (expm1.f64 (.f64 9 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -12 (fma.f64 9 (.f64 x x) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -12 (fma.f64 9 (.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -12 (fma.f64 9 (.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -12 (fma.f64 9 (.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x -12 (fma.f64 9 (.f64 x x) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 (.f64 x x) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -12 (fma.f64 9 (.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x 9) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) 9 (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 9 (.f64 x x)) 1 (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -12 x (fma.f64 9 (.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x -12) 1 (fma.f64 9 (.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 9 (.f64 x x) 3) 1 (.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 9 (.f64 x x)) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x -12) (fma.f64 9 (.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 9 (.f64 x x) 3) (.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x -12 3) (.f64 9 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x -12)) (cbrt.f64 (.f64 (.f64 x x) 144)) (fma.f64 9 (.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (.f64 x x) 144)) (cbrt.f64 (.f64 x -12)) (fma.f64 9 (.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) -12) (fma.f64 9 (.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (.f64 x x)) 9) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 9 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 81)) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 81)) (cbrt.f64 (.f64 9 (.f64 x x))) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 9 (.f64 x x) 3)) (cbrt.f64 (pow.f64 (fma.f64 9 (.f64 x x) 3) 2)) (.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 9 (.f64 x x) 3) 2)) (cbrt.f64 (fma.f64 9 (.f64 x x) 3)) (.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x -12)) (sqrt.f64 (.f64 x -12)) (fma.f64 9 (.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 3) (.f64 x 3) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -12) (fma.f64 9 (.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 9 (.f64 x x) 3)) (sqrt.f64 (fma.f64 9 (.f64 x x) 3)) (.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 729 27) (/.f64 1 (fma.f64 (.f64 9 (.f64 x x)) (fma.f64 9 (.f64 x x) -3) 9)) (.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 9 (.f64 (pow.f64 x 4) 81)) (/.f64 1 (+.f64 3 (.f64 -9 (.f64 x x)))) (.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x -12 3) 1 (.f64 9 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (fma.f64 x -12 3)) (cbrt.f64 (fma.f64 x -12 3))) (cbrt.f64 (fma.f64 x -12 3)) (.f64 9 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x -12 3)) (sqrt.f64 (fma.f64 x -12 3)) (.f64 9 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -12 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (fma.f64 9 (.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -12 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 9 (.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 9 x) x (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 9 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)) (fma.f64 x -12 3))))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 144) (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3))) (/.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2) (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))) (pow.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))) 2) (cbrt.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x -12 3))) (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3)) (/.f64 1 (fma.f64 (fma.f64 9 (*.f64 x x) 3) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) (*.f64 (*.f64 x x) 144))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 144) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2)) (/.f64 1 (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 9 (*.f64 x x) 3) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) (*.f64 (*.f64 x x) 144)) (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3)) (-.f64 (*.f64 (*.f64 x x) 144) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3)) (fma.f64 (fma.f64 9 (*.f64 x x) 3) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) (*.f64 (*.f64 x x) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3)) (+.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2) (-.f64 (*.f64 (*.f64 x x) 144) (*.f64 x (*.f64 -12 (fma.f64 9 (*.f64 x x) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 144) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2)) (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -1728 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 3))) (neg.f64 (fma.f64 (fma.f64 9 (*.f64 x x) 3) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)) (*.f64 (*.f64 x x) 144))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 144) (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2))) (neg.f64 (-.f64 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x -12 3) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 729)) (fma.f64 (fma.f64 x -12 3) (fma.f64 x -12 3) (-.f64 (*.f64 (pow.f64 x 4) 81) (*.f64 (fma.f64 x -12 3) (*.f64 9 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2) (*.f64 (*.f64 x x) 144)) (-.f64 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 x -12 3) (fma.f64 x -12 3)) (*.f64 (pow.f64 x 4) 81)) (-.f64 (fma.f64 x -12 3) (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x -12 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9) (exp.f64 (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 9 (*.f64 x x)))) (exp.f64 (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x -12))) (exp.f64 (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) -12) (+.f64 1 (expm1.f64 (fma.f64 9 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x -12))) (+.f64 1 (expm1.f64 (fma.f64 9 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 9 (*.f64 x x) 3))) (pow.f64 (exp.f64 x) -12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 9 (*.f64 x x) 3)) (+.f64 1 (expm1.f64 (*.f64 x -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 9 (*.f64 x x) 3))) (+.f64 1 (expm1.f64 (*.f64 x -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 x -12 3)) (+.f64 1 (expm1.f64 (*.f64 9 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 9) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 (*.f64 x x)) 1 (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -12 x (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -12) 1 (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 9 (*.f64 x x) 3) 1 (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 9 (*.f64 x x)) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -12) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 9 (*.f64 x x) 3) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x -12 3) (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x -12)) (cbrt.f64 (*.f64 (*.f64 x x) 144)) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 144)) (cbrt.f64 (*.f64 x -12)) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) -12) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) 9) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) (cbrt.f64 (*.f64 9 (*.f64 x x))) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 9 (*.f64 x x) 3)) (cbrt.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 9 (*.f64 x x) 3) 2)) (cbrt.f64 (fma.f64 9 (*.f64 x x) 3)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -12)) (sqrt.f64 (*.f64 x -12)) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 3) (*.f64 x 3) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -12) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 9 (*.f64 x x) 3)) (sqrt.f64 (fma.f64 9 (*.f64 x x) 3)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729 27) (/.f64 1 (fma.f64 (*.f64 9 (*.f64 x x)) (fma.f64 9 (*.f64 x x) -3) 9)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 9 (*.f64 (pow.f64 x 4) 81)) (/.f64 1 (+.f64 3 (*.f64 -9 (*.f64 x x)))) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x -12 3) 1 (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 x -12 3)) (cbrt.f64 (fma.f64 x -12 3))) (cbrt.f64 (fma.f64 x -12 3)) (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x -12 3)) (sqrt.f64 (fma.f64 x -12 3)) (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -12 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -12 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 9 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 x) x (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)) (fma.f64 x -12 3))))))

simplify59.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

545×	`associate-l_binary64`
434×	`unswap-sqr_binary64`
384×	`fma-def_binary64`
370×	`sqr-pow_binary64`
307×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	22	42
2	37	40
3	73	36
4	172	36
5	474	36
6	1712	36
7	2966	36
8	3170	36
9	3382	36
10	3602	36
11	3905	36
12	4305	36
13	4815	36

Stop Event

1×	node limit

Counts

95 → 96

Calls

Call 1

Inputs
3
(+.f64 (*.f64 -12 x) 3)
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))

Outputs
3
(+.f64 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 -12 x (.f64 x (.f64 x 9)))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 -12 x (.f64 x (.f64 x 9)))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))

prune97.0ms (4.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	96	4	100

Error

Counts

100 → 4

Alt Table

Status	Error	Program
▶	0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
	8.3b	(+.f64 (.f64 -12 x) (+.f64 3 (sqrt.f64 (.f64 (pow.f64 x 4) 81))))
✓	0.1b	(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
✓	0.1b	(fma.f64 x (fma.f64 x 9 -12) 3)

Compiler

Compiled 1618 to 1080 computations (33.3% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
✓	0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
✓	0.2b	(.f64 (.f64 x 3) x)

series4.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
0.0ms	x	@	0	(.f64 (.f64 x 3) x)
0.0ms	x	@	inf	(.f64 (.f64 x 3) x)
0.0ms	x	@	inf	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
0.0ms	x	@	inf	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))

rewrite68.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`fma-def_binary64`
400×	`fma-neg_binary64`
206×	`log1p-udef_binary64`
204×	`expm1-udef_binary64`
190×	`egg-rr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	256	31
2	3352	27

Stop Event

1×	node limit

Counts

3 → 235

Calls

Call 1

Inputs
(.f64 (.f64 x 3) x)
(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))

Outputs

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

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

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

simplify86.0ms (4%)

Algorithm

1×	egg-herbie

Rules

599×	`sqr-pow_binary64`
386×	`cube-prod_binary64`
323×	`fabs-mul_binary64`
301×	`fma-def_binary64`
274×	`pow-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	327
1	36	315
2	64	304
3	135	264
4	316	264
5	839	264
6	1310	264
7	1776	264
8	1885	264
9	2019	264
10	2188	264
11	2433	264
12	2746	264
13	3118	264
14	3572	264
15	4155	264
16	4863	264

Stop Event

1×	node limit

Counts

271 → 250

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))
3
(+.f64 (*.f64 -12 x) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 -4 x)
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
3
(+.f64 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(fma.f64 x -12 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 (.f64 x x) 9))
(fma.f64 x -12 (.f64 x (.f64 x 9)))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 (.f64 x x) 9))
(fma.f64 x -12 (.f64 x (.f64 x 9)))
(.f64 x (+.f64 -12 (.f64 x 9)))
(*.f64 x (fma.f64 x 9 -12))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 (.f64 x x) 9))
(fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))
(fma.f64 x -12 (fma.f64 x (*.f64 x 9) 3))
(fma.f64 x (fma.f64 x 9 -12) 3)
(*.f64 -4 x)
(*.f64 x -4)
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -4 x))
(fma.f64 3 (.f64 x x) (.f64 x -4))
(.f64 x (+.f64 (.f64 3 x) -4))
(*.f64 x (fma.f64 3 x -4))

prune263.0ms (12.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	250	0	250
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	250	4	254

Error

Counts

254 → 4

Alt Table

Status	Error	Program
✓	0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
▶	8.3b	(+.f64 (.f64 -12 x) (+.f64 3 (sqrt.f64 (.f64 (pow.f64 x 4) 81))))
✓	0.1b	(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
✓	0.1b	(fma.f64 x (fma.f64 x 9 -12) 3)

Compiler

Compiled 5426 to 4201 computations (22.6% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -12 x) (+.f64 3 (sqrt.f64 (.f64 (pow.f64 x 4) 81))))
✓	0.2b	(*.f64 (pow.f64 x 4) 81)
✓	21.7b	(sqrt.f64 (*.f64 (pow.f64 x 4) 81))

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (pow.f64 x 4) 81)
0.0ms	x	@	inf	(*.f64 (pow.f64 x 4) 81)
0.0ms	x	@	0	(sqrt.f64 (*.f64 (pow.f64 x 4) 81))
0.0ms	x	@	-inf	(sqrt.f64 (*.f64 (pow.f64 x 4) 81))
0.0ms	x	@	inf	(sqrt.f64 (*.f64 (pow.f64 x 4) 81))

rewrite55.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

448×	`fma-def_binary64`
275×	`fma-neg_binary64`
219×	`expm1-udef_binary64`
219×	`log1p-udef_binary64`
127×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	272	26
2	3392	26

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (pow.f64 x 4) 81))
(*.f64 (pow.f64 x 4) 81)
(+.f64 (.f64 -12 x) (+.f64 3 (sqrt.f64 (.f64 (pow.f64 x 4) 81))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 81 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) (cbrt.f64 (*.f64 (*.f64 x x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 9)) (cbrt.f64 (*.f64 (pow.f64 x 4) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 6561 (pow.f64 x 8)))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 81 1/2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (*.f64 x x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 6561 (pow.f64 x 8))) 1/2) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) 1/2))))) (#(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 (*.f64 (*.f64 x x) 9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x 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 (pow.f64 (*.f64 (pow.f64 x 4) 81) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 x x) 9))))) (#(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 (*.f64 x x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) 81) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) 81)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 9)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 4) 81))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 81) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 9) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 6561 (pow.f64 x 8)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) 81) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 6561 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 81) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) 81))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) 81) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 4) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) 81)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x -12) 2) (-.f64 (*.f64 x -12) (fma.f64 (*.f64 x x) 9 3))) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) 9 3) 2) (-.f64 (*.f64 x -12) (fma.f64 (*.f64 x x) 9 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))) (cbrt.f64 (pow.f64 (fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) 2)) (cbrt.f64 (fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x -12 3))) (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1728 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 x x) 9 3) 3)) (/.f64 1 (fma.f64 (fma.f64 (*.f64 x x) 9 3) (-.f64 (fma.f64 (*.f64 x x) 9 3) (*.f64 x -12)) (pow.f64 (*.f64 x -12) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x -12) 2) (pow.f64 (fma.f64 (*.f64 x x) 9 3) 2)) (/.f64 1 (-.f64 (*.f64 x -12) (fma.f64 (*.f64 x x) 9 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) 9 3) (-.f64 (fma.f64 (*.f64 x x) 9 3) (*.f64 x -12)) (pow.f64 (*.f64 x -12) 2)) (fma.f64 -1728 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 x x) 9 3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x -12) (fma.f64 (*.f64 x x) 9 3)) (-.f64 (pow.f64 (*.f64 x -12) 2) (pow.f64 (fma.f64 (*.f64 x x) 9 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1728 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 x x) 9 3) 3)) (fma.f64 (fma.f64 (*.f64 x x) 9 3) (-.f64 (fma.f64 (*.f64 x x) 9 3) (*.f64 x -12)) (pow.f64 (*.f64 x -12) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1728 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 x x) 9 3) 3)) (+.f64 (pow.f64 (fma.f64 (*.f64 x x) 9 3) 2) (-.f64 (pow.f64 (*.f64 x -12) 2) (*.f64 (*.f64 x -12) (fma.f64 (*.f64 x x) 9 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x -12) 2) (pow.f64 (fma.f64 (*.f64 x x) 9 3) 2)) (-.f64 (*.f64 x -12) (fma.f64 (*.f64 x x) 9 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -1728 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 x x) 9 3) 3))) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) 9 3) (-.f64 (fma.f64 (*.f64 x x) 9 3) (*.f64 x -12)) (pow.f64 (*.f64 x -12) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x -12) 2) (pow.f64 (fma.f64 (*.f64 x x) 9 3) 2))) (neg.f64 (-.f64 (*.f64 x -12) (fma.f64 (*.f64 x x) 9 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x -12 3) 3) (pow.f64 (*.f64 (pow.f64 x 4) 81) 3/2)) (fma.f64 (fma.f64 x -12 3) (fma.f64 x -12 3) (-.f64 (*.f64 (pow.f64 x 4) 81) (*.f64 (fma.f64 x -12 3) (*.f64 (*.f64 x x) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 x x) 9 3) 2) (pow.f64 (*.f64 x -12) 2)) (-.f64 (fma.f64 (*.f64 x x) 9 3) (*.f64 x -12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 x -12 3) (fma.f64 x -12 3)) (*.f64 (pow.f64 x 4) 81)) (-.f64 (fma.f64 x -12 3) (*.f64 (*.f64 x x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x -12 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9) (exp.f64 (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) 9))) (exp.f64 (fma.f64 x -12 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x -12))) (exp.f64 (fma.f64 (*.f64 x x) 9 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -12) x) (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) 9 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x -12))) (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) 9 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) 9 3))) (pow.f64 (exp.f64 -12) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 (*.f64 x x) 9 3)) (+.f64 1 (expm1.f64 (*.f64 x -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) 9 3))) (+.f64 1 (expm1.f64 (*.f64 x -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 x -12 3)) (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -12 (fma.f64 (*.f64 x x) 9 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) 9) 1 (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -12 x (fma.f64 (*.f64 x x) 9 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -12) 1 (fma.f64 (*.f64 x x) 9 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (*.f64 x x) 9 3) 1 (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 x x) 9) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -12) (fma.f64 (*.f64 x x) 9 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (*.f64 x x) 9 3) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x -12 3) (*.f64 (*.f64 x x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 9 (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (pow.f64 81 1/2) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 9 3)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 9 3)) 2) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 9 3)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) 9 3)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -12) (fma.f64 (*.f64 x x) 9 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x -12)) (cbrt.f64 (pow.f64 (*.f64 x -12) 2)) (fma.f64 (*.f64 x x) 9 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x -12) 2)) (cbrt.f64 (*.f64 x -12)) (fma.f64 (*.f64 x x) 9 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) (cbrt.f64 (*.f64 (*.f64 x x) 9)) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 9)) (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 9 3)) (sqrt.f64 (fma.f64 (*.f64 x x) 9 3)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -12) (fma.f64 (*.f64 x x) 9 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -12)) (sqrt.f64 (*.f64 x -12)) (fma.f64 (*.f64 x x) 9 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 3) (*.f64 x 3) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729 27) (/.f64 1 (fma.f64 (*.f64 (*.f64 x x) 9) (fma.f64 (*.f64 x x) 9 -3) 9)) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 9 (*.f64 (pow.f64 x 4) 81)) (/.f64 1 (-.f64 3 (*.f64 (*.f64 x x) 9))) (*.f64 x -12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x -12 3) 1 (*.f64 (*.f64 x x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 x -12 3)) (cbrt.f64 (fma.f64 x -12 3))) (cbrt.f64 (fma.f64 x -12 3)) (*.f64 (*.f64 x x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x -12 3)) (sqrt.f64 (fma.f64 x -12 3)) (*.f64 (*.f64 x x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 6561 (pow.f64 x 8)))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81))) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 81 1/2) (*.f64 x x) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (*.f64 (*.f64 x x) 9) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 6561 (pow.f64 x 8))) 1/2) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81)) 1/2) (fma.f64 x -12 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 (*.f64 x x) 9 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -12 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 (*.f64 x x) 9 3))))))

simplify75.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

615×	`sqr-pow_binary64`
419×	`associate-l_binary64`
342×	`unswap-sqr_binary64`
340×	`*-commutative_binary64`
242×	`pow-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	294
1	35	282
2	65	280
3	139	258
4	396	258
5	1360	258
6	2279	258
7	2430	258
8	2603	258
9	2802	258
10	3073	258
11	3432	258
12	3881	258
13	4405	258

Stop Event

1×	node limit

Counts

151 → 124

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 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
3
(+.f64 (*.f64 -12 x) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))

Outputs
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
(*.f64 81 (pow.f64 x 4))
3
(+.f64 (*.f64 -12 x) 3)
(fma.f64 -12 x 3)
(fma.f64 x -12 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))
(fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))
(fma.f64 x (fma.f64 9 x -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))
(fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))
(fma.f64 x (fma.f64 9 x -12) 3)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 9 (.f64 x x) (.f64 x -12))
(.f64 x (+.f64 -12 (.f64 9 x)))
(*.f64 x (fma.f64 9 x -12))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))
(fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))
(fma.f64 x (fma.f64 9 x -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))
(fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))
(fma.f64 x (fma.f64 9 x -12) 3)
(*.f64 9 (pow.f64 x 2))
(.f64 9 (.f64 x x))
(+.f64 (.f64 -12 x) (.f64 9 (pow.f64 x 2)))
(fma.f64 -12 x (.f64 9 (.f64 x x)))
(fma.f64 9 (.f64 x x) (.f64 x -12))
(.f64 x (+.f64 -12 (.f64 9 x)))
(*.f64 x (fma.f64 9 x -12))
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))
(fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))
(fma.f64 x (fma.f64 9 x -12) 3)
(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
(+.f64 (fma.f64 -12 x 3) (.f64 9 (.f64 x x)))
(fma.f64 x -12 (fma.f64 9 (*.f64 x x) 3))
(fma.f64 9 (*.f64 x x) (fma.f64 x -12 3))
(fma.f64 x (fma.f64 9 x -12) 3)

prune109.0ms (5.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	124	4	128

Error

Counts

128 → 4

Alt Table

Status	Error	Program
✓	0.1b	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
✓	8.3b	(+.f64 (.f64 -12 x) (+.f64 3 (sqrt.f64 (.f64 (pow.f64 x 4) 81))))
✓	0.1b	(+.f64 (.f64 -12 x) (+.f64 3 (.f64 9 (pow.f64 x 2))))
✓	0.1b	(fma.f64 x (fma.f64 x 9 -12) 3)

Compiler

Compiled 1999 to 1440 computations (28% saved)

regimes70.0ms (3.3%)

Accuracy

Total -10.7b remaining (-12907.8%)

Threshold costs -10.7b (-12907.8%)

Counts

25 → 1

Compiler

Compiled 294 to 221 computations (24.8% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x (fma.f64 x 9 -12) 3)

Outputs
(fma.f64 x (fma.f64 x 9 -12) 3)

end52.0ms (2.4%)

Stop Event

1×

done

Compiler

Compiled 59 to 46 computations (22% saved)

Details

analyze6.0ms (0.3%)

sample857.0ms (40%)

preprocess53.0ms (2.5%)

simplify43.0ms (2%)

prune3.0ms (0.1%)

localize4.0ms (0.2%)

series3.0ms (0.1%)

rewrite36.0ms (1.7%)

simplify66.0ms (3.1%)

prune50.0ms (2.3%)

localize6.0ms (0.3%)

series3.0ms (0.1%)

rewrite52.0ms (2.4%)

simplify59.0ms (2.8%)

prune97.0ms (4.5%)

localize8.0ms (0.4%)

series4.0ms (0.2%)

rewrite68.0ms (3.2%)

simplify86.0ms (4%)

prune263.0ms (12.3%)

localize7.0ms (0.3%)

series3.0ms (0.1%)

rewrite55.0ms (2.6%)

simplify75.0ms (3.5%)

prune109.0ms (5.1%)

regimes70.0ms (3.3%)

simplify4.0ms (0.2%)

end52.0ms (2.4%)

Profiling