Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	24.9%	13
75%	0%	25%	14

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample782.0ms (36.7%)

Results

769.0ms	8256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 22 to 18 computations (18.2% saved)

preprocess26.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

271×	`fma-def_binary64`
256×	`fma-neg_binary64`
75×	`cancel-sign-sub-inv_binary64`
54×	`sub-neg_binary64`
30×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	25	11
2	65	11
3	147	11
4	291	9
5	486	9
6	718	9
7	1049	9
8	1166	9
9	1185	9
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))

Outputs
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
(-.f64 1 (*.f64 x (fma.f64 x 3/25 253/1000)))
(fma.f64 x (neg.f64 (fma.f64 x 3/25 253/1000)) 1)
(fma.f64 x (+.f64 -253/1000 (*.f64 x -3/25)) 1)
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify26.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

271×	`fma-def_binary64`
256×	`fma-neg_binary64`
75×	`cancel-sign-sub-inv_binary64`
54×	`sub-neg_binary64`
30×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	25	11
2	65	11
3	147	11
4	291	9
5	486	9
6	718	9
7	1049	9
8	1166	9
9	1185	9

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))

Outputs
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
(-.f64 1 (*.f64 x (fma.f64 x 3/25 253/1000)))
(fma.f64 x (neg.f64 (fma.f64 x 3/25 253/1000)) 1)
(fma.f64 x (+.f64 -253/1000 (*.f64 x -3/25)) 1)
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)

Compiler

Compiled 33 to 25 computations (24.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
✓	0.1b	(fma.f64 x -3/25 -253/1000)

series3.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(fma.f64 x -3/25 -253/1000)
1.0ms	x	@	inf	(fma.f64 x -3/25 -253/1000)
1.0ms	x	@	0	(fma.f64 x -3/25 -253/1000)
0.0ms	x	@	0	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
0.0ms	x	@	inf	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)

rewrite33.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`pow1_binary64`
543×	`add-log-exp_binary64`
543×	`log1p-expm1-u_binary64`
543×	`expm1-log1p-u_binary64`
534×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	136	14
2	1416	14

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(fma.f64 x -3/25 -253/1000)
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -253/1000 (.f64 x -3/25))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x -3/25) -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x -3/25) 1) -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x -3/25 -253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x -3/25 -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) (sqrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x -3/25) 3) -16194277/1000000000) (+.f64 (.f64 (.f64 x -3/25) (.f64 x -3/25)) (-.f64 64009/1000000 (.f64 (.f64 x -3/25) -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x -3/25) (.f64 x -3/25)) 64009/1000000) (-.f64 (*.f64 x -3/25) -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -3/25 -253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -3/25 -253/1000)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 x (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) 3) 1) (+.f64 (.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) (.f64 x (fma.f64 x -3/25 -253/1000))) (-.f64 1 (.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) (.f64 x (fma.f64 x -3/25 -253/1000))) 1) (-.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -253/1000 (*.f64 x -3/25))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -3/25) -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -3/25) 1) -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -3/25 -253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -3/25 -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) (sqrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -3/25) 3) -16194277/1000000000) (+.f64 (*.f64 (*.f64 x -3/25) (*.f64 x -3/25)) (-.f64 64009/1000000 (*.f64 (*.f64 x -3/25) -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x -3/25) (*.f64 x -3/25)) 64009/1000000) (-.f64 (*.f64 x -3/25) -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -3/25 -253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -3/25 -253/1000)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 x (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 3) 1) (+.f64 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) (*.f64 x (fma.f64 x -3/25 -253/1000))) (-.f64 1 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) (*.f64 x (fma.f64 x -3/25 -253/1000))) 1) (-.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))))

simplify35.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

391×	`fma-def_binary64`
388×	`associate-l_binary64`
301×	`unswap-sqr_binary64`
300×	`distribute-rgt-neg-in_binary64`
271×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	222
1	51	204
2	112	156
3	239	144
4	838	144
5	2795	144
6	4164	144

Stop Event

1×	node limit

Counts

66 → 56

Calls

Call 1

Inputs
-253/1000
(neg.f64 (+.f64 253/1000 (*.f64 3/25 x)))
(neg.f64 (+.f64 253/1000 (*.f64 3/25 x)))
(neg.f64 (+.f64 253/1000 (*.f64 3/25 x)))
(*.f64 -3/25 x)
(neg.f64 (+.f64 253/1000 (*.f64 3/25 x)))
(neg.f64 (+.f64 253/1000 (*.f64 3/25 x)))
(neg.f64 (+.f64 253/1000 (*.f64 3/25 x)))
(*.f64 -3/25 x)
(neg.f64 (+.f64 253/1000 (*.f64 3/25 x)))
(neg.f64 (+.f64 253/1000 (*.f64 3/25 x)))
(neg.f64 (+.f64 253/1000 (*.f64 3/25 x)))
1
(-.f64 1 (*.f64 253/1000 x))
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(*.f64 -3/25 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(*.f64 -3/25 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))

Outputs
-253/1000
(neg.f64 (+.f64 253/1000 (*.f64 3/25 x)))
(+.f64 -253/1000 (neg.f64 (*.f64 3/25 x)))
(+.f64 -253/1000 (*.f64 x -3/25))
(fma.f64 x -3/25 -253/1000)
(neg.f64 (+.f64 253/1000 (*.f64 3/25 x)))
(+.f64 -253/1000 (neg.f64 (*.f64 3/25 x)))
(+.f64 -253/1000 (*.f64 x -3/25))
(fma.f64 x -3/25 -253/1000)
(neg.f64 (+.f64 253/1000 (*.f64 3/25 x)))
(+.f64 -253/1000 (neg.f64 (*.f64 3/25 x)))
(+.f64 -253/1000 (*.f64 x -3/25))
(fma.f64 x -3/25 -253/1000)
(*.f64 -3/25 x)
(*.f64 x -3/25)
(neg.f64 (+.f64 253/1000 (*.f64 3/25 x)))
(+.f64 -253/1000 (neg.f64 (*.f64 3/25 x)))
(+.f64 -253/1000 (*.f64 x -3/25))
(fma.f64 x -3/25 -253/1000)
(neg.f64 (+.f64 253/1000 (*.f64 3/25 x)))
(+.f64 -253/1000 (neg.f64 (*.f64 3/25 x)))
(+.f64 -253/1000 (*.f64 x -3/25))
(fma.f64 x -3/25 -253/1000)
(neg.f64 (+.f64 253/1000 (*.f64 3/25 x)))
(+.f64 -253/1000 (neg.f64 (*.f64 3/25 x)))
(+.f64 -253/1000 (*.f64 x -3/25))
(fma.f64 x -3/25 -253/1000)
(*.f64 -3/25 x)
(*.f64 x -3/25)
(neg.f64 (+.f64 253/1000 (*.f64 3/25 x)))
(+.f64 -253/1000 (neg.f64 (*.f64 3/25 x)))
(+.f64 -253/1000 (*.f64 x -3/25))
(fma.f64 x -3/25 -253/1000)
(neg.f64 (+.f64 253/1000 (*.f64 3/25 x)))
(+.f64 -253/1000 (neg.f64 (*.f64 3/25 x)))
(+.f64 -253/1000 (*.f64 x -3/25))
(fma.f64 x -3/25 -253/1000)
(neg.f64 (+.f64 253/1000 (*.f64 3/25 x)))
(+.f64 -253/1000 (neg.f64 (*.f64 3/25 x)))
(+.f64 -253/1000 (*.f64 x -3/25))
(fma.f64 x -3/25 -253/1000)
1
(-.f64 1 (*.f64 253/1000 x))
(+.f64 1 (*.f64 -253/1000 x))
(+.f64 1 (*.f64 x -253/1000))
(fma.f64 x -253/1000 1)
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 253/1000 x)))
(-.f64 1 (fma.f64 253/1000 x (.f64 3/25 (.f64 x x))))
(+.f64 1 (*.f64 x (fma.f64 x -3/25 -253/1000)))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 253/1000 x)))
(-.f64 1 (fma.f64 253/1000 x (.f64 3/25 (.f64 x x))))
(+.f64 1 (*.f64 x (fma.f64 x -3/25 -253/1000)))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 x -3/25))
(neg.f64 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(neg.f64 (fma.f64 3/25 (.f64 x x) (.f64 253/1000 x)))
(+.f64 (.f64 x -253/1000) (.f64 -3/25 (*.f64 x x)))
(*.f64 x (fma.f64 x -3/25 -253/1000))
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 253/1000 x)))
(-.f64 1 (fma.f64 253/1000 x (.f64 3/25 (.f64 x x))))
(+.f64 1 (*.f64 x (fma.f64 x -3/25 -253/1000)))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 253/1000 x)))
(-.f64 1 (fma.f64 253/1000 x (.f64 3/25 (.f64 x x))))
(+.f64 1 (*.f64 x (fma.f64 x -3/25 -253/1000)))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 x -3/25))
(neg.f64 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(neg.f64 (fma.f64 3/25 (.f64 x x) (.f64 253/1000 x)))
(+.f64 (.f64 x -253/1000) (.f64 -3/25 (*.f64 x x)))
(*.f64 x (fma.f64 x -3/25 -253/1000))
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 253/1000 x)))
(-.f64 1 (fma.f64 253/1000 x (.f64 3/25 (.f64 x x))))
(+.f64 1 (*.f64 x (fma.f64 x -3/25 -253/1000)))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 253/1000 x)))
(-.f64 1 (fma.f64 253/1000 x (.f64 3/25 (.f64 x x))))
(+.f64 1 (*.f64 x (fma.f64 x -3/25 -253/1000)))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)

prune61.0ms (2.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	51	5	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	6	57

Error

0.0b

Counts

57 → 6

Alt Table

Status	Error	Program
	39.3b	(neg.f64 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
	14.1b	(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) 3) 1) (+.f64 (.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) (.f64 x (fma.f64 x -3/25 -253/1000))) (-.f64 1 (.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) 1))))
	0.5b	(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2))
✓	0.1b	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
	5.9b	(fma.f64 x (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3)) 1)
▶	0.5b	(fma.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3) 1)

Compiler

Compiled 779 to 611 computations (21.6% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 x -3/25 -253/1000)
✓	0.1b	(fma.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3) 1)
✓	0.3b	(pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3)
✓	0.8b	(cbrt.f64 (fma.f64 x -3/25 -253/1000))

series52.0ms (2.5%)

Counts

3 → 14

Calls

9 calls:

Time	Variable		Point	Expression
35.0ms	x	@	inf	(cbrt.f64 (fma.f64 x -3/25 -253/1000))
8.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3)
4.0ms	x	@	0	(cbrt.f64 (fma.f64 x -3/25 -253/1000))
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3)
1.0ms	x	@	0	(fma.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3) 1)

rewrite60.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

750×	`pow1_binary64`
710×	`log1p-expm1-u_binary64`
710×	`expm1-log1p-u_binary64`
85×	`add-sqr-sqrt_binary64`
81×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	206	21
2	1925	21

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

Inputs
(cbrt.f64 (fma.f64 x -3/25 -253/1000))
(pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3)
(fma.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3) 1)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6) (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -3/25 -253/1000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x -3/25 -253/1000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -253/1000 (.f64 x -3/25))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x -3/25) -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x -3/25) 1) -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -3/25 -253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x -3/25 -253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x -3/25 -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) (sqrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6) (.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6) (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))) 3) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)) 1) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)))) (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)) (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6)) (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x -3/25) 3) -16194277/1000000000) (+.f64 (.f64 (.f64 x -3/25) (.f64 x -3/25)) (-.f64 64009/1000000 (.f64 (.f64 x -3/25) -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x -3/25) (.f64 x -3/25)) 64009/1000000) (-.f64 (.f64 x -3/25) -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x -3/25 -253/1000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -3/25 -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -3/25 -253/1000)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 x (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 2)) (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) 3) 1) (+.f64 (.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) (.f64 x (fma.f64 x -3/25 -253/1000))) (-.f64 1 (.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) (.f64 x (fma.f64 x -3/25 -253/1000))) 1) (-.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6) (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -3/25 -253/1000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -3/25 -253/1000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -253/1000 (*.f64 x -3/25))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -3/25) -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -3/25) 1) -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -3/25 -253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -3/25 -253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -3/25 -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) (sqrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6) (*.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6) (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))) 3) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)) 1) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)))) (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)) (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6)) (pow.f64 (fma.f64 x -3/25 -253/1000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -3/25) 3) -16194277/1000000000) (+.f64 (*.f64 (*.f64 x -3/25) (*.f64 x -3/25)) (-.f64 64009/1000000 (*.f64 (*.f64 x -3/25) -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x -3/25) (*.f64 x -3/25)) 64009/1000000) (-.f64 (*.f64 x -3/25) -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -3/25 -253/1000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -3/25 -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -3/25 -253/1000)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 x (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 2)) (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 3) 1) (+.f64 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) (*.f64 x (fma.f64 x -3/25 -253/1000))) (-.f64 1 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) (*.f64 x (fma.f64 x -3/25 -253/1000))) 1) (-.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))))

simplify33.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

829×	`times-frac_binary64`
296×	`fma-def_binary64`
287×	`associate-r_binary64`
261×	`associate-l_binary64`
261×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	363
1	226	357
2	777	333
3	3537	333

Stop Event

1×	node limit

Counts

86 → 93

Calls

Call 1

Inputs
(cbrt.f64 -253/1000)
(-.f64 (cbrt.f64 -253/1000) (.f64 1/25 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2)) 1/3) x)))
(-.f64 (cbrt.f64 -253/1000) (+.f64 (.f64 1/25 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2)) 1/3) x)) (.f64 1/625 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7)) 1/3) (pow.f64 x 2)))))
(-.f64 (cbrt.f64 -253/1000) (+.f64 (.f64 1/25 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2)) 1/3) x)) (+.f64 (.f64 1/9375 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -253/1000) 4))) (.f64 1/625 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7)) 1/3) (pow.f64 x 2))))))
-253/1000
(neg.f64 (+.f64 253/1000 (.f64 3/25 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3) x))))
(-.f64 (+.f64 (.f64 4/46875 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -253/1000) 2))) (.f64 32/94875 (.f64 (cbrt.f64 -253/1000) (pow.f64 x 3)))) (+.f64 253/1000 (.f64 3/25 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3) x))))
(-.f64 (+.f64 (.f64 4/46875 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -253/1000) 2))) (.f64 32/94875 (.f64 (cbrt.f64 -253/1000) (pow.f64 x 3)))) (+.f64 (.f64 4/1171875 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 11)) 1/3) (pow.f64 x 4))) (+.f64 253/1000 (+.f64 (.f64 3/25 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3) x)) (.f64 32/2371875 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2)) 1/3) (pow.f64 x 4)))))))
1
(-.f64 1 (*.f64 253/1000 x))
(-.f64 1 (+.f64 (.f64 3/25 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3) (pow.f64 x 2))) (*.f64 253/1000 x)))
(-.f64 (+.f64 (.f64 32/94875 (.f64 (cbrt.f64 -253/1000) (pow.f64 x 4))) (+.f64 1 (.f64 4/46875 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -253/1000) 2))))) (+.f64 (.f64 3/25 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3) (pow.f64 x 2))) (.f64 253/1000 x)))
1
1

Outputs
(cbrt.f64 -253/1000)
(-.f64 (cbrt.f64 -253/1000) (.f64 1/25 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2)) 1/3) x)))
(+.f64 (cbrt.f64 -253/1000) (.f64 -1/25 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) x)))
(+.f64 (cbrt.f64 -253/1000) (.f64 (.f64 -1/25 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2)))) x))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) x) -1/25 (cbrt.f64 -253/1000))
(-.f64 (cbrt.f64 -253/1000) (+.f64 (.f64 1/25 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2)) 1/3) x)) (.f64 1/625 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7)) 1/3) (pow.f64 x 2)))))
(-.f64 (cbrt.f64 -253/1000) (fma.f64 1/25 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) x) (.f64 1/625 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7))) (.f64 x x)))))
(-.f64 (cbrt.f64 -253/1000) (fma.f64 1/25 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) x) (.f64 1/625 (.f64 x (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7))))))))
(+.f64 (cbrt.f64 -253/1000) (.f64 x (-.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) -1/25) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7))) (.f64 1/625 x)))))
(-.f64 (cbrt.f64 -253/1000) (+.f64 (.f64 1/25 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2)) 1/3) x)) (+.f64 (.f64 1/9375 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -253/1000) 4))) (.f64 1/625 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7)) 1/3) (pow.f64 x 2))))))
(-.f64 (cbrt.f64 -253/1000) (fma.f64 1/25 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) x) (fma.f64 1/9375 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -253/1000) 4)) (.f64 1/625 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7))) (.f64 x x))))))
(-.f64 (cbrt.f64 -253/1000) (fma.f64 1/25 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) x) (fma.f64 1/625 (.f64 x (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7))))) (.f64 1/9375 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -253/1000) 4))))))
(-.f64 (cbrt.f64 -253/1000) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) (.f64 1/25 x) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 7))) (.f64 1/625 (.f64 x x)) (.f64 (/.f64 (pow.f64 x 3) (cbrt.f64 -253/1000)) -8/18975))))
-253/1000
(neg.f64 (+.f64 253/1000 (.f64 3/25 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3) x))))
(+.f64 -253/1000 (neg.f64 (.f64 3/25 (.f64 x (cbrt.f64 (pow.f64 (cbrt.f64 -253/1000) 4))))))
(-.f64 -253/1000 (.f64 x (.f64 3/25 (cbrt.f64 (pow.f64 (cbrt.f64 -253/1000) 4)))))
(fma.f64 (.f64 x (cbrt.f64 (.f64 -253/1000 (cbrt.f64 -253/1000)))) -3/25 -253/1000)
(-.f64 (+.f64 (.f64 4/46875 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -253/1000) 2))) (.f64 32/94875 (.f64 (cbrt.f64 -253/1000) (pow.f64 x 3)))) (+.f64 253/1000 (.f64 3/25 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3) x))))
(-.f64 (fma.f64 4/46875 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -253/1000) 2)) (.f64 32/94875 (.f64 (cbrt.f64 -253/1000) (pow.f64 x 3)))) (+.f64 253/1000 (.f64 3/25 (.f64 x (cbrt.f64 (pow.f64 (cbrt.f64 -253/1000) 4))))))
(-.f64 (fma.f64 4/46875 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -253/1000) 2)) (.f64 (cbrt.f64 -253/1000) (.f64 (pow.f64 x 3) 32/94875))) (fma.f64 3/25 (*.f64 x (cbrt.f64 (pow.f64 (cbrt.f64 -253/1000) 4))) 253/1000))
(fma.f64 (cbrt.f64 -253/1000) (.f64 (pow.f64 x 3) 32/94875) (fma.f64 4/46875 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -253/1000) 2)) (fma.f64 (.f64 x (cbrt.f64 (*.f64 -253/1000 (cbrt.f64 -253/1000)))) -3/25 -253/1000)))
(-.f64 (+.f64 (.f64 4/46875 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -253/1000) 2))) (.f64 32/94875 (.f64 (cbrt.f64 -253/1000) (pow.f64 x 3)))) (+.f64 (.f64 4/1171875 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 11)) 1/3) (pow.f64 x 4))) (+.f64 253/1000 (+.f64 (.f64 3/25 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3) x)) (.f64 32/2371875 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2)) 1/3) (pow.f64 x 4)))))))
(-.f64 (fma.f64 4/46875 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -253/1000) 2)) (.f64 32/94875 (.f64 (cbrt.f64 -253/1000) (pow.f64 x 3)))) (fma.f64 4/1171875 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 11))) (pow.f64 x 4)) (+.f64 253/1000 (fma.f64 3/25 (.f64 x (cbrt.f64 (pow.f64 (cbrt.f64 -253/1000) 4))) (.f64 (.f64 32/2371875 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2)))) (pow.f64 x 4))))))
(-.f64 (-.f64 (fma.f64 4/46875 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -253/1000) 2)) (.f64 (cbrt.f64 -253/1000) (.f64 (pow.f64 x 3) 32/94875))) (fma.f64 4/1171875 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 11))) (pow.f64 x 4)) 253/1000)) (fma.f64 3/25 (.f64 x (cbrt.f64 (pow.f64 (cbrt.f64 -253/1000) 4))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) (.f64 (pow.f64 x 4) 32/2371875))))
(-.f64 (fma.f64 (cbrt.f64 -253/1000) (.f64 (pow.f64 x 3) 32/94875) (fma.f64 4/46875 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -253/1000) 2)) (fma.f64 (.f64 x (cbrt.f64 (.f64 -253/1000 (cbrt.f64 -253/1000)))) -3/25 -253/1000))) (.f64 (pow.f64 x 4) (+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 2))) 32/2371875) (.f64 4/1171875 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -253/1000) 11)))))))
1
(-.f64 1 (*.f64 253/1000 x))
(+.f64 1 (*.f64 -253/1000 x))
(fma.f64 -253/1000 x 1)
(-.f64 1 (+.f64 (.f64 3/25 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3) (pow.f64 x 2))) (*.f64 253/1000 x)))
(-.f64 1 (fma.f64 3/25 (.f64 (.f64 x x) (cbrt.f64 (pow.f64 (cbrt.f64 -253/1000) 4))) (*.f64 x 253/1000)))
(-.f64 1 (fma.f64 (.f64 3/25 (cbrt.f64 (pow.f64 (cbrt.f64 -253/1000) 4))) (.f64 x x) (*.f64 x 253/1000)))
(-.f64 1 (.f64 x (fma.f64 x (.f64 3/25 (cbrt.f64 (*.f64 -253/1000 (cbrt.f64 -253/1000)))) 253/1000)))
(-.f64 (+.f64 (.f64 32/94875 (.f64 (cbrt.f64 -253/1000) (pow.f64 x 4))) (+.f64 1 (.f64 4/46875 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -253/1000) 2))))) (+.f64 (.f64 3/25 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -253/1000) 4) 1/3) (pow.f64 x 2))) (.f64 253/1000 x)))
(-.f64 (fma.f64 32/94875 (.f64 (cbrt.f64 -253/1000) (pow.f64 x 4)) (+.f64 1 (.f64 4/46875 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -253/1000) 2))))) (fma.f64 3/25 (.f64 (.f64 x x) (cbrt.f64 (pow.f64 (cbrt.f64 -253/1000) 4))) (*.f64 x 253/1000)))
(-.f64 (fma.f64 32/94875 (.f64 (cbrt.f64 -253/1000) (pow.f64 x 4)) (fma.f64 4/46875 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -253/1000) 2)) 1)) (fma.f64 (.f64 3/25 (cbrt.f64 (pow.f64 (cbrt.f64 -253/1000) 4))) (.f64 x x) (.f64 x 253/1000)))
(-.f64 (fma.f64 (cbrt.f64 -253/1000) (.f64 32/94875 (pow.f64 x 4)) (fma.f64 4/46875 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -253/1000) 2)) 1)) (.f64 x (fma.f64 x (.f64 3/25 (cbrt.f64 (.f64 -253/1000 (cbrt.f64 -253/1000)))) 253/1000)))
1
1

prune152.0ms (7.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	120	5	125

Error

0.0b

Counts

125 → 5

Alt Table

Status	Error	Program
▶	0.5b	(fma.f64 x (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))) 3) (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 1)
	39.3b	(neg.f64 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
	0.5b	(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2))
✓	0.1b	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
	5.9b	(fma.f64 x (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3)) 1)

Compiler

Compiled 2009 to 1683 computations (16.2% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(cbrt.f64 (fma.f64 x -3/25 -253/1000))
✓	0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))) 3)
✓	1.1b	(cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)))
✓	1.1b	(cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))

series43.0ms (2%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	x	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))) 3)
2.0ms	x	@	0	(cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))) 3)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))) 3)
1.0ms	x	@	0	(cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)))

rewrite57.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

773×	`pow1_binary64`
731×	`log1p-expm1-u_binary64`
731×	`expm1-log1p-u_binary64`
94×	`add-sqr-sqrt_binary64`
91×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	230	32
2	2126	32

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))
(cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2)))
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4))) 1) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4))) (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)))) (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -3/25 -253/1000) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (fma.f64 x -3/25 -253/1000))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4))) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 1/3) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4))) 1) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4))) (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)))) (cbrt.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (fma.f64 x -3/25 -253/1000))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))))))

simplify56.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

533×	`fma-def_binary64`
471×	`associate-r_binary64`
411×	`associate-l_binary64`
319×	`times-frac_binary64`
251×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	1486
1	429	1424
2	1444	1110

Stop Event

1×	node limit

Counts

102 → 107

Calls

Call 1

Inputs
(cbrt.f64 64009/1000000)
(+.f64 (cbrt.f64 64009/1000000) (.f64 253/12500 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2)) 1/3) x)))
(-.f64 (+.f64 (cbrt.f64 64009/1000000) (+.f64 (.f64 253/12500 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2)) 1/3) x)) (.f64 3/625 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 64009/1000000) 2))))) (.f64 64009/156250000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 7)) 1/3) (pow.f64 x 2))))
(-.f64 (+.f64 (cbrt.f64 64009/1000000) (+.f64 (.f64 253/12500 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2)) 1/3) x)) (+.f64 (.f64 16194277/1171875000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 64009/1000000) 4))) (.f64 3/625 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 64009/1000000) 2)))))) (+.f64 (.f64 759/3906250 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 11)) 1/3) (pow.f64 x 3))) (.f64 64009/156250000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 7)) 1/3) (pow.f64 x 2)))))
(pow.f64 64009/1000000 1/9)
(+.f64 (.f64 80/759 (.f64 (pow.f64 64009/1000000 1/9) x)) (pow.f64 64009/1000000 1/9))
(-.f64 (+.f64 (.f64 80/759 (.f64 (pow.f64 64009/1000000 1/9) x)) (pow.f64 64009/1000000 1/9)) (.f64 11200/576081 (.f64 (pow.f64 64009/1000000 1/9) (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 7168000/1311736437 (.f64 (pow.f64 64009/1000000 1/9) (pow.f64 x 3))) (+.f64 (.f64 80/759 (.f64 (pow.f64 64009/1000000 1/9) x)) (pow.f64 64009/1000000 1/9))) (.f64 11200/576081 (.f64 (pow.f64 64009/1000000 1/9) (pow.f64 x 2))))
(exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x))))))
(+.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) (.f64 253/540 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (*.f64 2 (log.f64 (/.f64 1 x)))))) x)))
(-.f64 (+.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) (.f64 253/540 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) x))) (.f64 448063/1166400 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 113359939/236196000 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 3))) (+.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) (.f64 253/540 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) x)))) (.f64 448063/1166400 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (*.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))))
(exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x))))))
(+.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) (.f64 253/540 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (*.f64 2 (log.f64 (/.f64 -1 x)))))) x)))
(-.f64 (+.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) (.f64 253/540 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) x))) (.f64 448063/1166400 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 113359939/236196000 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))) (+.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) (.f64 253/540 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) x)))) (.f64 448063/1166400 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (*.f64 2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))))
(pow.f64 262254607552729/1000000000000000000 1/9)
(+.f64 (.f64 80/253 (.f64 (pow.f64 262254607552729/1000000000000000000 1/9) x)) (pow.f64 262254607552729/1000000000000000000 1/9))
(-.f64 (+.f64 (.f64 80/253 (.f64 (pow.f64 262254607552729/1000000000000000000 1/9) x)) (pow.f64 262254607552729/1000000000000000000 1/9)) (.f64 1600/64009 (.f64 (pow.f64 262254607552729/1000000000000000000 1/9) (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 80/253 (.f64 (pow.f64 262254607552729/1000000000000000000 1/9) x)) (+.f64 (.f64 256000/48582831 (.f64 (pow.f64 262254607552729/1000000000000000000 1/9) (pow.f64 x 3))) (pow.f64 262254607552729/1000000000000000000 1/9))) (.f64 1600/64009 (.f64 (pow.f64 262254607552729/1000000000000000000 1/9) (pow.f64 x 2))))
(pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) 3)
(+.f64 (.f64 253/180 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) 3) x)) (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (*.f64 2 (log.f64 (/.f64 1 x)))))) 3))
(-.f64 (+.f64 (.f64 253/180 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) 3) x)) (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) 3)) (.f64 64009/129600 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) 3) (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 253/180 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) 3) x)) (+.f64 (.f64 16194277/34992000 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) 3) (pow.f64 x 3))) (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) 3))) (.f64 64009/129600 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (*.f64 2 (log.f64 (/.f64 1 x)))))) 3) (pow.f64 x 2))))
(pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) 3)
(+.f64 (.f64 253/180 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) 3) x)) (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (*.f64 2 (log.f64 (/.f64 -1 x)))))) 3))
(-.f64 (+.f64 (.f64 253/180 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) 3) x)) (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) 3)) (.f64 64009/129600 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) 3) (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 253/180 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) 3) x)) (+.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) 3) (.f64 16194277/34992000 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) 3) (pow.f64 x 3))))) (.f64 64009/129600 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (*.f64 2 (log.f64 (/.f64 -1 x)))))) 3) (pow.f64 x 2))))

Outputs
(cbrt.f64 64009/1000000)
(+.f64 (cbrt.f64 64009/1000000) (.f64 253/12500 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2)) 1/3) x)))
(+.f64 (cbrt.f64 64009/1000000) (.f64 253/12500 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2))) x)))
(fma.f64 253/12500 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2))) x) (cbrt.f64 64009/1000000))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2))) (*.f64 x 253/12500) (cbrt.f64 64009/1000000))
(-.f64 (+.f64 (cbrt.f64 64009/1000000) (+.f64 (.f64 253/12500 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2)) 1/3) x)) (.f64 3/625 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 64009/1000000) 2))))) (.f64 64009/156250000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 7)) 1/3) (pow.f64 x 2))))
(+.f64 (+.f64 (cbrt.f64 64009/1000000) (fma.f64 253/12500 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2))) x) (.f64 3/625 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 64009/1000000) 2))))) (.f64 -64009/156250000 (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 7))))))
(+.f64 (cbrt.f64 64009/1000000) (+.f64 (fma.f64 253/12500 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2))) x) (/.f64 3/625 (/.f64 (pow.f64 (cbrt.f64 64009/1000000) 2) (.f64 x x)))) (.f64 (.f64 -64009/156250000 (*.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 7))))))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 7)))) -64009/156250000 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2))) (.f64 x 253/12500) (fma.f64 3/625 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 64009/1000000) 2)) (cbrt.f64 64009/1000000))))
(-.f64 (+.f64 (cbrt.f64 64009/1000000) (+.f64 (.f64 253/12500 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2)) 1/3) x)) (+.f64 (.f64 16194277/1171875000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 64009/1000000) 4))) (.f64 3/625 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 64009/1000000) 2)))))) (+.f64 (.f64 759/3906250 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 11)) 1/3) (pow.f64 x 3))) (.f64 64009/156250000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 7)) 1/3) (pow.f64 x 2)))))
(-.f64 (+.f64 (cbrt.f64 64009/1000000) (fma.f64 253/12500 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2))) x) (fma.f64 16194277/1171875000000 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 64009/1000000) 4)) (.f64 3/625 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 64009/1000000) 2)))))) (fma.f64 759/3906250 (.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 11)))) (.f64 64009/156250000 (.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 7)))))))
(+.f64 (cbrt.f64 64009/1000000) (-.f64 (fma.f64 253/12500 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2))) x) (fma.f64 3/625 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 64009/1000000) 2)) (/.f64 16194277/1171875000000 (/.f64 (pow.f64 (cbrt.f64 64009/1000000) 4) (pow.f64 x 3))))) (fma.f64 759/3906250 (.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 11)))) (.f64 (.f64 x x) (.f64 64009/156250000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 7))))))))
(-.f64 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 2))) (.f64 x 253/12500) (+.f64 (cbrt.f64 64009/1000000) (fma.f64 3/625 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 64009/1000000) 2)) (.f64 (/.f64 (pow.f64 x 3) (cbrt.f64 64009/1000000)) 253/1171875)))) (.f64 (.f64 x x) (+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 11))) (.f64 759/3906250 x)) (.f64 64009/156250000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64009/1000000) 7)))))))
(pow.f64 64009/1000000 1/9)
(*.f64 (pow.f64 64009/1000000 1/18) (pow.f64 64009/1000000 1/18))
(+.f64 (.f64 80/759 (.f64 (pow.f64 64009/1000000 1/9) x)) (pow.f64 64009/1000000 1/9))
(fma.f64 80/759 (.f64 x (.f64 (pow.f64 64009/1000000 1/18) (pow.f64 64009/1000000 1/18))) (*.f64 (pow.f64 64009/1000000 1/18) (pow.f64 64009/1000000 1/18)))
(.f64 (+.f64 (.f64 80/759 x) 1) (*.f64 (pow.f64 64009/1000000 1/18) (pow.f64 64009/1000000 1/18)))
(-.f64 (+.f64 (.f64 80/759 (.f64 (pow.f64 64009/1000000 1/9) x)) (pow.f64 64009/1000000 1/9)) (.f64 11200/576081 (.f64 (pow.f64 64009/1000000 1/9) (pow.f64 x 2))))
(+.f64 (fma.f64 80/759 (.f64 x (.f64 (pow.f64 64009/1000000 1/18) (pow.f64 64009/1000000 1/18))) (.f64 (pow.f64 64009/1000000 1/18) (pow.f64 64009/1000000 1/18))) (.f64 -11200/576081 (.f64 (.f64 x x) (*.f64 (pow.f64 64009/1000000 1/18) (pow.f64 64009/1000000 1/18)))))
(fma.f64 80/759 (.f64 x (.f64 (pow.f64 64009/1000000 1/18) (pow.f64 64009/1000000 1/18))) (fma.f64 (pow.f64 64009/1000000 1/18) (pow.f64 64009/1000000 1/18) (.f64 (.f64 (.f64 (.f64 x x) (pow.f64 64009/1000000 1/18)) (pow.f64 64009/1000000 1/18)) -11200/576081)))
(fma.f64 (pow.f64 64009/1000000 1/18) (pow.f64 64009/1000000 1/18) (.f64 (.f64 (pow.f64 64009/1000000 1/18) (pow.f64 64009/1000000 1/18)) (+.f64 (.f64 80/759 x) (.f64 -11200/576081 (*.f64 x x)))))
(-.f64 (+.f64 (.f64 7168000/1311736437 (.f64 (pow.f64 64009/1000000 1/9) (pow.f64 x 3))) (+.f64 (.f64 80/759 (.f64 (pow.f64 64009/1000000 1/9) x)) (pow.f64 64009/1000000 1/9))) (.f64 11200/576081 (.f64 (pow.f64 64009/1000000 1/9) (pow.f64 x 2))))
(+.f64 (fma.f64 7168000/1311736437 (.f64 (pow.f64 x 3) (.f64 (pow.f64 64009/1000000 1/18) (pow.f64 64009/1000000 1/18))) (fma.f64 80/759 (.f64 x (.f64 (pow.f64 64009/1000000 1/18) (pow.f64 64009/1000000 1/18))) (.f64 (pow.f64 64009/1000000 1/18) (pow.f64 64009/1000000 1/18)))) (.f64 -11200/576081 (.f64 (.f64 x x) (*.f64 (pow.f64 64009/1000000 1/18) (pow.f64 64009/1000000 1/18)))))
(fma.f64 7168000/1311736437 (.f64 (pow.f64 x 3) (.f64 (pow.f64 64009/1000000 1/18) (pow.f64 64009/1000000 1/18))) (fma.f64 80/759 (.f64 x (.f64 (pow.f64 64009/1000000 1/18) (pow.f64 64009/1000000 1/18))) (fma.f64 (pow.f64 64009/1000000 1/18) (pow.f64 64009/1000000 1/18) (.f64 (.f64 (.f64 (.f64 x x) (pow.f64 64009/1000000 1/18)) (pow.f64 64009/1000000 1/18)) -11200/576081))))
(+.f64 (.f64 (+.f64 (.f64 80/759 x) 1) (.f64 (pow.f64 64009/1000000 1/18) (pow.f64 64009/1000000 1/18))) (.f64 (.f64 (pow.f64 64009/1000000 1/18) (pow.f64 64009/1000000 1/18)) (-.f64 (.f64 7168000/1311736437 (pow.f64 x 3)) (.f64 11200/576081 (.f64 x x)))))
(exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (*.f64 -2 (neg.f64 (log.f64 x)))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (*.f64 (log.f64 x) 2)))
(pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 x) (log.f64 9/625)))
(+.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) (.f64 253/540 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (*.f64 2 (log.f64 (/.f64 1 x)))))) x)))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (neg.f64 (log.f64 x))))) (.f64 253/540 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (*.f64 -2 (neg.f64 (log.f64 x))))) x)))
(fma.f64 253/540 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 x) 2))) x) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 x) 2))))
(fma.f64 253/540 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 x) (log.f64 9/625))) x) (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 x) (log.f64 9/625))))
(-.f64 (+.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) (.f64 253/540 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) x))) (.f64 448063/1166400 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (neg.f64 (log.f64 x))))) (-.f64 (.f64 253/540 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (neg.f64 (log.f64 x))))) x)) (.f64 448063/1166400 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (neg.f64 (log.f64 x))))) (.f64 x x)))))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 x) 2))) (fma.f64 253/540 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 x) 2))) x) (/.f64 (.f64 -448063/1166400 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 x) 2)))) (*.f64 x x))))
(+.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 x) (log.f64 9/625))) (*.f64 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 x) (log.f64 9/625))) x) (-.f64 253/540 (/.f64 448063/1166400 x))))
(-.f64 (+.f64 (.f64 113359939/236196000 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 3))) (+.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) (.f64 253/540 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) x)))) (.f64 448063/1166400 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (*.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))))
(+.f64 (fma.f64 113359939/236196000 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (neg.f64 (log.f64 x))))) (pow.f64 x 3)) (+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (neg.f64 (log.f64 x))))) (.f64 253/540 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (neg.f64 (log.f64 x))))) x)))) (.f64 -448063/1166400 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (neg.f64 (log.f64 x))))) (*.f64 x x))))
(+.f64 (fma.f64 113359939/236196000 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 x) 2))) (pow.f64 x 3)) (fma.f64 253/540 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 x) 2))) x) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 x) 2))))) (/.f64 (.f64 -448063/1166400 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 x) 2)))) (.f64 x x)))
(+.f64 (fma.f64 253/540 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 x) (log.f64 9/625))) x) (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 x) (log.f64 9/625)))) (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 x) (log.f64 9/625))) (.f64 x x)) (-.f64 (/.f64 113359939/236196000 x) 448063/1166400)))
(exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (*.f64 -2 (log.f64 (/.f64 -1 x)))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (*.f64 (log.f64 (/.f64 -1 x)) -2)))
(pow.f64 (exp.f64 1/9) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 9/625)))
(+.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) (.f64 253/540 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (*.f64 2 (log.f64 (/.f64 -1 x)))))) x)))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (log.f64 (/.f64 -1 x))))) (.f64 253/540 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (*.f64 -2 (log.f64 (/.f64 -1 x))))) x)))
(fma.f64 253/540 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 (/.f64 -1 x)) -2))) x) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 (/.f64 -1 x)) -2))))
(fma.f64 253/540 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 9/625))) x) (pow.f64 (exp.f64 1/9) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 9/625))))
(-.f64 (+.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) (.f64 253/540 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) x))) (.f64 448063/1166400 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (log.f64 (/.f64 -1 x))))) (-.f64 (.f64 253/540 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (log.f64 (/.f64 -1 x))))) x)) (.f64 448063/1166400 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (log.f64 (/.f64 -1 x))))) (.f64 x x)))))
(+.f64 (fma.f64 253/540 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 (/.f64 -1 x)) -2))) x) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 (/.f64 -1 x)) -2)))) (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 (/.f64 -1 x)) -2))) (*.f64 x x)) -448063/1166400))
(+.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 9/625))) (*.f64 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 9/625))) x) (-.f64 253/540 (/.f64 448063/1166400 x))))
(-.f64 (+.f64 (.f64 113359939/236196000 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))) (+.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) (.f64 253/540 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) x)))) (.f64 448063/1166400 (/.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (*.f64 2 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))))
(+.f64 (fma.f64 113359939/236196000 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)) (+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (log.f64 (/.f64 -1 x))))) (.f64 253/540 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (log.f64 (/.f64 -1 x))))) x)))) (.f64 -448063/1166400 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (log.f64 (/.f64 -1 x))))) (*.f64 x x))))
(+.f64 (fma.f64 113359939/236196000 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 (/.f64 -1 x)) -2))) (pow.f64 x 3)) (fma.f64 253/540 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 (/.f64 -1 x)) -2))) x) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 (/.f64 -1 x)) -2))))) (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 (/.f64 -1 x)) -2))) (.f64 x x)) -448063/1166400))
(+.f64 (fma.f64 253/540 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 9/625))) x) (pow.f64 (exp.f64 1/9) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 9/625)))) (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 9/625))) (.f64 x x)) (-.f64 (/.f64 113359939/236196000 x) 448063/1166400)))
(pow.f64 262254607552729/1000000000000000000 1/9)
(*.f64 (pow.f64 262254607552729/1000000000000000000 1/18) (pow.f64 262254607552729/1000000000000000000 1/18))
(+.f64 (.f64 80/253 (.f64 (pow.f64 262254607552729/1000000000000000000 1/9) x)) (pow.f64 262254607552729/1000000000000000000 1/9))
(fma.f64 80/253 (.f64 x (.f64 (pow.f64 262254607552729/1000000000000000000 1/18) (pow.f64 262254607552729/1000000000000000000 1/18))) (*.f64 (pow.f64 262254607552729/1000000000000000000 1/18) (pow.f64 262254607552729/1000000000000000000 1/18)))
(.f64 (+.f64 (.f64 80/253 x) 1) (*.f64 (pow.f64 262254607552729/1000000000000000000 1/18) (pow.f64 262254607552729/1000000000000000000 1/18)))
(-.f64 (+.f64 (.f64 80/253 (.f64 (pow.f64 262254607552729/1000000000000000000 1/9) x)) (pow.f64 262254607552729/1000000000000000000 1/9)) (.f64 1600/64009 (.f64 (pow.f64 262254607552729/1000000000000000000 1/9) (pow.f64 x 2))))
(+.f64 (fma.f64 80/253 (.f64 x (.f64 (pow.f64 262254607552729/1000000000000000000 1/18) (pow.f64 262254607552729/1000000000000000000 1/18))) (.f64 (pow.f64 262254607552729/1000000000000000000 1/18) (pow.f64 262254607552729/1000000000000000000 1/18))) (.f64 -1600/64009 (.f64 (.f64 x x) (*.f64 (pow.f64 262254607552729/1000000000000000000 1/18) (pow.f64 262254607552729/1000000000000000000 1/18)))))
(fma.f64 80/253 (.f64 x (.f64 (pow.f64 262254607552729/1000000000000000000 1/18) (pow.f64 262254607552729/1000000000000000000 1/18))) (fma.f64 (pow.f64 262254607552729/1000000000000000000 1/18) (pow.f64 262254607552729/1000000000000000000 1/18) (.f64 (.f64 (pow.f64 262254607552729/1000000000000000000 1/18) (.f64 (pow.f64 262254607552729/1000000000000000000 1/18) (.f64 x x))) -1600/64009)))
(fma.f64 (pow.f64 262254607552729/1000000000000000000 1/18) (pow.f64 262254607552729/1000000000000000000 1/18) (.f64 (.f64 (pow.f64 262254607552729/1000000000000000000 1/18) (pow.f64 262254607552729/1000000000000000000 1/18)) (-.f64 (.f64 80/253 x) (.f64 (*.f64 1600/64009 x) x))))
(-.f64 (+.f64 (.f64 80/253 (.f64 (pow.f64 262254607552729/1000000000000000000 1/9) x)) (+.f64 (.f64 256000/48582831 (.f64 (pow.f64 262254607552729/1000000000000000000 1/9) (pow.f64 x 3))) (pow.f64 262254607552729/1000000000000000000 1/9))) (.f64 1600/64009 (.f64 (pow.f64 262254607552729/1000000000000000000 1/9) (pow.f64 x 2))))
(+.f64 (fma.f64 80/253 (.f64 x (.f64 (pow.f64 262254607552729/1000000000000000000 1/18) (pow.f64 262254607552729/1000000000000000000 1/18))) (fma.f64 256000/48582831 (.f64 (pow.f64 x 3) (.f64 (pow.f64 262254607552729/1000000000000000000 1/18) (pow.f64 262254607552729/1000000000000000000 1/18))) (.f64 (pow.f64 262254607552729/1000000000000000000 1/18) (pow.f64 262254607552729/1000000000000000000 1/18)))) (.f64 -1600/64009 (.f64 (.f64 x x) (*.f64 (pow.f64 262254607552729/1000000000000000000 1/18) (pow.f64 262254607552729/1000000000000000000 1/18)))))
(+.f64 (fma.f64 80/253 (.f64 x (.f64 (pow.f64 262254607552729/1000000000000000000 1/18) (pow.f64 262254607552729/1000000000000000000 1/18))) (fma.f64 256000/48582831 (.f64 (pow.f64 x 3) (.f64 (pow.f64 262254607552729/1000000000000000000 1/18) (pow.f64 262254607552729/1000000000000000000 1/18))) (.f64 (pow.f64 262254607552729/1000000000000000000 1/18) (pow.f64 262254607552729/1000000000000000000 1/18)))) (.f64 (.f64 (pow.f64 262254607552729/1000000000000000000 1/18) (.f64 (pow.f64 262254607552729/1000000000000000000 1/18) (*.f64 x x))) -1600/64009))
(+.f64 (.f64 (+.f64 (.f64 256000/48582831 (pow.f64 x 3)) 1) (.f64 (pow.f64 262254607552729/1000000000000000000 1/18) (pow.f64 262254607552729/1000000000000000000 1/18))) (.f64 (.f64 (pow.f64 262254607552729/1000000000000000000 1/18) (pow.f64 262254607552729/1000000000000000000 1/18)) (-.f64 (.f64 80/253 x) (.f64 (.f64 1600/64009 x) x))))
(pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (*.f64 -2 (neg.f64 (log.f64 x))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (*.f64 (log.f64 x) 2))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 x) (log.f64 9/625))) 3)
(+.f64 (.f64 253/180 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) 3) x)) (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (*.f64 2 (log.f64 (/.f64 1 x)))))) 3))
(fma.f64 253/180 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (neg.f64 (log.f64 x))))) 3) x) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (neg.f64 (log.f64 x))))) 3))
(fma.f64 253/180 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 x) 2))) 3) x) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 x) 2))) 3))
(fma.f64 253/180 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 x) (log.f64 9/625))) 3) x) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 x) (log.f64 9/625))) 3))
(-.f64 (+.f64 (.f64 253/180 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) 3) x)) (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) 3)) (.f64 64009/129600 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) 3) (pow.f64 x 2))))
(+.f64 (fma.f64 253/180 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (neg.f64 (log.f64 x))))) 3) x) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (neg.f64 (log.f64 x))))) 3)) (.f64 -64009/129600 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (neg.f64 (log.f64 x))))) 3) (*.f64 x x))))
(+.f64 (fma.f64 253/180 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 x) 2))) 3) x) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 x) 2))) 3)) (/.f64 (.f64 -64009/129600 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 x) 2))) 3)) (*.f64 x x)))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 x) (log.f64 9/625))) 3) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 x) (log.f64 9/625))) 3) x) (-.f64 253/180 (/.f64 64009/129600 x))))
(-.f64 (+.f64 (.f64 253/180 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) 3) x)) (+.f64 (.f64 16194277/34992000 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) 3) (pow.f64 x 3))) (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 1 x)))))) 3))) (.f64 64009/129600 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (*.f64 2 (log.f64 (/.f64 1 x)))))) 3) (pow.f64 x 2))))
(+.f64 (fma.f64 253/180 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (neg.f64 (log.f64 x))))) 3) x) (fma.f64 16194277/34992000 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (neg.f64 (log.f64 x))))) 3) (pow.f64 x 3)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (neg.f64 (log.f64 x))))) 3))) (.f64 -64009/129600 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (neg.f64 (log.f64 x))))) 3) (.f64 x x))))
(+.f64 (fma.f64 253/180 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 x) 2))) 3) x) (fma.f64 16194277/34992000 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 x) 2))) 3) (pow.f64 x 3)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 x) 2))) 3))) (/.f64 (.f64 -64009/129600 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 x) 2))) 3)) (.f64 x x)))
(+.f64 (fma.f64 16194277/34992000 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 x) (log.f64 9/625))) 3) (pow.f64 x 3)) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 x) (log.f64 9/625))) 3)) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 2 (log.f64 x) (log.f64 9/625))) 3) x) (-.f64 253/180 (/.f64 64009/129600 x))))
(pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (*.f64 -2 (log.f64 (/.f64 -1 x))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (*.f64 (log.f64 (/.f64 -1 x)) -2))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 9/625))) 3)
(+.f64 (.f64 253/180 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) 3) x)) (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (*.f64 2 (log.f64 (/.f64 -1 x)))))) 3))
(fma.f64 253/180 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (log.f64 (/.f64 -1 x))))) 3) x) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (log.f64 (/.f64 -1 x))))) 3))
(fma.f64 253/180 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 (/.f64 -1 x)) -2))) 3) x) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 (/.f64 -1 x)) -2))) 3))
(fma.f64 253/180 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 9/625))) 3) x) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 9/625))) 3))
(-.f64 (+.f64 (.f64 253/180 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) 3) x)) (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) 3)) (.f64 64009/129600 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) 3) (pow.f64 x 2))))
(+.f64 (fma.f64 253/180 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (log.f64 (/.f64 -1 x))))) 3) x) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (log.f64 (/.f64 -1 x))))) 3)) (.f64 -64009/129600 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (log.f64 (/.f64 -1 x))))) 3) (*.f64 x x))))
(+.f64 (fma.f64 253/180 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 (/.f64 -1 x)) -2))) 3) x) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 (/.f64 -1 x)) -2))) 3)) (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 (/.f64 -1 x)) -2))) 3) (*.f64 x x)) -64009/129600))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 9/625))) 3) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 9/625))) 3) x) (-.f64 253/180 (/.f64 64009/129600 x))))
(-.f64 (+.f64 (.f64 253/180 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) 3) x)) (+.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) 3) (.f64 16194277/34992000 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (.f64 2 (log.f64 (/.f64 -1 x)))))) 3) (pow.f64 x 3))))) (.f64 64009/129600 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 9/625) (*.f64 2 (log.f64 (/.f64 -1 x)))))) 3) (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 253/180 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (log.f64 (/.f64 -1 x))))) 3) x) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (log.f64 (/.f64 -1 x))))) 3)) (.f64 16194277/34992000 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (log.f64 (/.f64 -1 x))))) 3) (pow.f64 x 3)))) (.f64 64009/129600 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 -2 (log.f64 (/.f64 -1 x))))) 3) (*.f64 x x))))
(+.f64 (fma.f64 253/180 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 (/.f64 -1 x)) -2))) 3) x) (fma.f64 16194277/34992000 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 (/.f64 -1 x)) -2))) 3) (pow.f64 x 3)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 (/.f64 -1 x)) -2))) 3))) (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 9/625) (.f64 (log.f64 (/.f64 -1 x)) -2))) 3) (.f64 x x)) -64009/129600))
(+.f64 (fma.f64 253/180 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 9/625))) 3) x) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 9/625))) 3)) (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 (log.f64 (/.f64 -1 x)) -2 (log.f64 9/625))) 3) (.f64 x x)) (-.f64 (/.f64 16194277/34992000 x) 64009/129600)))

prune205.0ms (9.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	136	5	141

Error

0.0b

Counts

141 → 5

Alt Table

Status	Error	Program
✓	0.5b	(fma.f64 x (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))) 3) (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 1)
	39.3b	(neg.f64 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
▶	0.5b	(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2))
✓	0.1b	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
	5.9b	(fma.f64 x (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3)) 1)

Compiler

Compiled 4356 to 3753 computations (13.8% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 x -3/25 -253/1000)
✓	0.2b	(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2))
✓	0.2b	(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2)
✓	0.2b	(cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))

series4.0ms (0.2%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2)
0.0ms	x	@	0	(cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))
0.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2)
0.0ms	x	@	-inf	(cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))

rewrite45.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`pow1_binary64`
725×	`log1p-expm1-u_binary64`
725×	`expm1-log1p-u_binary64`
91×	`add-sqr-sqrt_binary64`
86×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	219	34
2	2036	34

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

Inputs

(cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))

(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2)

(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1/6) (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))) (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1/6) (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 x (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 3) 1) (+.f64 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) (*.f64 x (fma.f64 x -3/25 -253/1000))) (-.f64 1 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) (*.f64 x (fma.f64 x -3/25 -253/1000))) 1) (-.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))))

simplify33.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

598×	`fma-def_binary64`
589×	`distribute-rgt-neg-in_binary64`
382×	`cancel-sign-sub-inv_binary64`
326×	`associate-l_binary64`
302×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	218
1	119	218
2	307	196
3	1098	158
4	4226	158

Stop Event

1×	node limit

Counts

80 → 80

Calls

Call 1

Inputs
1
(-.f64 1 (*.f64 253/3000 x))
(-.f64 1 (+.f64 (.f64 424009/9000000 (pow.f64 x 2)) (.f64 253/3000 x)))
(-.f64 1 (+.f64 (.f64 424009/9000000 (pow.f64 x 2)) (+.f64 (.f64 253/3000 x) (*.f64 125490277/16200000000 (pow.f64 x 3)))))
1
(-.f64 1 (*.f64 253/1500 x))
(-.f64 1 (+.f64 (.f64 784009/9000000 (pow.f64 x 2)) (.f64 253/1500 x)))
(-.f64 1 (+.f64 (.f64 784009/9000000 (pow.f64 x 2)) (+.f64 (.f64 253/1500 x) (*.f64 152814277/20250000000 (pow.f64 x 3)))))
1
(-.f64 1 (*.f64 253/1000 x))
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(*.f64 -3/25 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(*.f64 -3/25 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))

Outputs
1
(-.f64 1 (*.f64 253/3000 x))
(+.f64 1 (*.f64 -253/3000 x))
(fma.f64 x -253/3000 1)
(-.f64 1 (+.f64 (.f64 424009/9000000 (pow.f64 x 2)) (.f64 253/3000 x)))
(-.f64 1 (fma.f64 424009/9000000 (.f64 x x) (.f64 253/3000 x)))
(-.f64 1 (fma.f64 253/3000 x (.f64 x (.f64 x 424009/9000000))))
(-.f64 1 (.f64 x (+.f64 253/3000 (.f64 x 424009/9000000))))
(-.f64 1 (*.f64 x (fma.f64 x 424009/9000000 253/3000)))
(-.f64 1 (+.f64 (.f64 424009/9000000 (pow.f64 x 2)) (+.f64 (.f64 253/3000 x) (*.f64 125490277/16200000000 (pow.f64 x 3)))))
(-.f64 1 (fma.f64 424009/9000000 (.f64 x x) (fma.f64 253/3000 x (.f64 125490277/16200000000 (pow.f64 x 3)))))
(-.f64 1 (fma.f64 125490277/16200000000 (pow.f64 x 3) (.f64 x (+.f64 253/3000 (.f64 x 424009/9000000)))))
(+.f64 1 (.f64 x (-.f64 -253/3000 (.f64 x (fma.f64 x 125490277/16200000000 424009/9000000)))))
1
(-.f64 1 (*.f64 253/1500 x))
(+.f64 1 (*.f64 -253/1500 x))
(+.f64 1 (*.f64 x -253/1500))
(fma.f64 x -253/1500 1)
(-.f64 1 (+.f64 (.f64 784009/9000000 (pow.f64 x 2)) (.f64 253/1500 x)))
(-.f64 1 (fma.f64 784009/9000000 (.f64 x x) (.f64 x 253/1500)))
(-.f64 1 (fma.f64 x 253/1500 (.f64 x (.f64 x 784009/9000000))))
(-.f64 1 (.f64 x (+.f64 253/1500 (.f64 x 784009/9000000))))
(-.f64 1 (*.f64 x (fma.f64 x 784009/9000000 253/1500)))
(-.f64 1 (+.f64 (.f64 784009/9000000 (pow.f64 x 2)) (+.f64 (.f64 253/1500 x) (*.f64 152814277/20250000000 (pow.f64 x 3)))))
(-.f64 1 (fma.f64 784009/9000000 (.f64 x x) (fma.f64 253/1500 x (.f64 (pow.f64 x 3) 152814277/20250000000))))
(-.f64 1 (fma.f64 (.f64 x x) 784009/9000000 (fma.f64 x 253/1500 (.f64 (pow.f64 x 3) 152814277/20250000000))))
(-.f64 1 (fma.f64 (pow.f64 x 3) 152814277/20250000000 (.f64 x (+.f64 253/1500 (.f64 x 784009/9000000)))))
(-.f64 1 (.f64 x (+.f64 253/1500 (.f64 x (fma.f64 x 152814277/20250000000 784009/9000000)))))
1
(-.f64 1 (*.f64 253/1000 x))
(+.f64 1 (*.f64 -253/1000 x))
(+.f64 1 (*.f64 x -253/1000))
(fma.f64 x -253/1000 1)
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))
(-.f64 1 (fma.f64 x 253/1000 (.f64 x (.f64 x 3/25))))
(-.f64 1 (.f64 x (+.f64 (.f64 x 3/25) 253/1000)))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))
(-.f64 1 (fma.f64 x 253/1000 (.f64 x (.f64 x 3/25))))
(-.f64 1 (.f64 x (+.f64 (.f64 x 3/25) 253/1000)))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(*.f64 -3/25 (pow.f64 x 2))
(.f64 (.f64 x x) -3/25)
(.f64 x (.f64 x -3/25))
(neg.f64 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(neg.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))
(+.f64 (.f64 x -253/1000) (.f64 x (*.f64 x -3/25)))
(.f64 x (-.f64 -253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x -3/25 -253/1000))
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))
(-.f64 1 (fma.f64 x 253/1000 (.f64 x (.f64 x 3/25))))
(-.f64 1 (.f64 x (+.f64 (.f64 x 3/25) 253/1000)))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))
(-.f64 1 (fma.f64 x 253/1000 (.f64 x (.f64 x 3/25))))
(-.f64 1 (.f64 x (+.f64 (.f64 x 3/25) 253/1000)))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(*.f64 -3/25 (pow.f64 x 2))
(.f64 (.f64 x x) -3/25)
(.f64 x (.f64 x -3/25))
(neg.f64 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(neg.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))
(+.f64 (.f64 x -253/1000) (.f64 x (*.f64 x -3/25)))
(.f64 x (-.f64 -253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x -3/25 -253/1000))
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))
(-.f64 1 (fma.f64 x 253/1000 (.f64 x (.f64 x 3/25))))
(-.f64 1 (.f64 x (+.f64 (.f64 x 3/25) 253/1000)))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))
(-.f64 1 (fma.f64 x 253/1000 (.f64 x (.f64 x 3/25))))
(-.f64 1 (.f64 x (+.f64 (.f64 x 3/25) 253/1000)))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)

prune160.0ms (7.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	161	1	162
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	161	6	167

Error

0.0b

Counts

167 → 6

Alt Table

Status	Error	Program
✓	0.5b	(fma.f64 x (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))) 3) (cbrt.f64 (fma.f64 x -3/25 -253/1000))) 1)
	12.9b	(*.f64 (cbrt.f64 (fma.f64 x (expm1.f64 (log1p.f64 (fma.f64 x -3/25 -253/1000))) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2))
	39.3b	(neg.f64 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
✓	0.5b	(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2))
✓	0.1b	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
	5.9b	(fma.f64 x (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3)) 1)

Compiler

Compiled 3471 to 2803 computations (19.2% saved)

regimes117.0ms (5.5%)

Accuracy

Total 0.1b remaining (80.5%)

Threshold costs 0.1b (80.5%)

Counts

46 → 1

Compiler

Compiled 627 to 502 computations (19.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	18	16
2	26	16
3	48	16
4	57	16
5	63	16
6	65	16

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))

Outputs
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 x 253/1000)))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -3/25) (.f64 x -253/1000)))

end107.0ms (5%)

Stop Event

1×

fuel

Compiler

Compiled 116 to 95 computations (18.1% saved)

Details

analyze4.0ms (0.2%)

sample782.0ms (36.7%)

preprocess26.0ms (1.2%)

simplify26.0ms (1.2%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

series3.0ms (0.2%)

rewrite33.0ms (1.6%)

simplify35.0ms (1.7%)

prune61.0ms (2.9%)

localize7.0ms (0.3%)

series52.0ms (2.5%)

rewrite60.0ms (2.8%)

simplify33.0ms (1.5%)

prune152.0ms (7.2%)

localize11.0ms (0.5%)

series43.0ms (2%)

rewrite57.0ms (2.7%)

simplify56.0ms (2.6%)

prune205.0ms (9.6%)

localize8.0ms (0.4%)

series4.0ms (0.2%)

rewrite45.0ms (2.1%)

simplify33.0ms (1.6%)

prune160.0ms (7.5%)

regimes117.0ms (5.5%)

simplify3.0ms (0.1%)

end107.0ms (5%)

Profiling