Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
85.7%	75%	12.5%	0%	12.5%	0%	0%	5
92.3%	75%	6.2%	0%	18.7%	0%	0%	6
96%	75%	3.1%	0%	21.9%	0%	0%	7
98%	75%	1.6%	0%	23.4%	0%	0%	8
99%	75%	0.8%	0%	24.2%	0%	0%	9
99.5%	75%	0.4%	0%	24.6%	0%	0%	10
99.7%	75%	0.2%	0%	24.8%	0%	0%	11
99.9%	75%	0.1%	0%	24.9%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.3s (16.6%)

Results

1.3s	8256×	body	256	valid
1.0ms	4×	body	256	infinite

Bogosity

preprocess48.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

271×	`fma-def_binary64`
258×	`fma-neg_binary64`
80×	`cancel-sign-sub-inv_binary64`
54×	`sub-neg_binary64`
30×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	25	11
2	68	11
3	150	11
4	292	9
5	487	9
6	726	9
7	1058	9
8	1175	9
9	1194	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 (fma.f64 x -3/25 -253/1000) 1)

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify34.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

271×	`fma-def_binary64`
258×	`fma-neg_binary64`
80×	`cancel-sign-sub-inv_binary64`
54×	`sub-neg_binary64`
30×	`associate--r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	25	11
2	68	11
3	150	11
4	292	9
5	487	9
6	726	9
7	1058	9
8	1175	9
9	1194	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 (fma.f64 x -3/25 -253/1000) 1)

eval1.0ms (0%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize23.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 253/1000 (*.f64 x 3/25))
✓	0.1b	(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
✓	0.3b	(*.f64 x 3/25)

Compiler

Compiled 29 to 22 computations (24.1% saved)

series8.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite84.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`pow1_binary64`
769×	`add-log-exp_binary64`
769×	`log1p-expm1-u_binary64`
769×	`expm1-log1p-u_binary64`
756×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	158	17
2	2067	17

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x 3/25)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 3/25) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 3/25)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x 3/25)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 27/15625 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 9/625 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 27/15625 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x 3/25)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 253/1000) (.f64 x (.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x 3/25)) (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 253/1000) 1) (.f64 (.f64 x (.f64 x 3/25)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (fma.f64 x 3/25 253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x 253/1000) 3) (pow.f64 (.f64 x (.f64 x 3/25)) 3)) (+.f64 (.f64 (.f64 x 253/1000) (.f64 x 253/1000)) (-.f64 (.f64 (.f64 x (.f64 x 3/25)) (.f64 x (.f64 x 3/25))) (.f64 (.f64 x 253/1000) (.f64 x (.f64 x 3/25))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x 253/1000) (.f64 x 253/1000)) (.f64 (.f64 x (.f64 x 3/25)) (.f64 x (.f64 x 3/25)))) (-.f64 (.f64 x 253/1000) (.f64 x (.f64 x 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) x) (+.f64 64009/1000000 (-.f64 (.f64 9/625 (.f64 x x)) (.f64 759/25000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 64009/1000000 (.f64 9/625 (.f64 x x))) x) (+.f64 253/1000 (.f64 -3/25 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3)))) (+.f64 64009/1000000 (-.f64 (.f64 9/625 (.f64 x x)) (.f64 759/25000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 64009/1000000 (.f64 9/625 (.f64 x x)))) (+.f64 253/1000 (.f64 -3/25 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x 3/25 253/1000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 3/25 253/1000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 x 3/25 253/1000) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 253/1000 (.f64 x (.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 253/1000 x (.f64 x (*.f64 x 3/25)))))))
((#(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 (/.f64 64009/1000000 (+.f64 253/1000 (.f64 -3/25 x))) (/.f64 (.f64 9/625 (.f64 x x)) (+.f64 253/1000 (.f64 -3/25 x))))))) (#(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 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) (/.f64 1 (+.f64 64009/1000000 (-.f64 (.f64 9/625 (.f64 x x)) (.f64 759/25000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 64009/1000000 (.f64 9/625 (.f64 x x))) (/.f64 1 (+.f64 253/1000 (.f64 -3/25 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 64009/1000000 (-.f64 (.f64 9/625 (.f64 x x)) (.f64 759/25000 x))) (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 253/1000 (.f64 -3/25 x)) (-.f64 64009/1000000 (.f64 9/625 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) (+.f64 64009/1000000 (-.f64 (.f64 9/625 (.f64 x x)) (.f64 759/25000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) (+.f64 (.f64 9/625 (.f64 x x)) (-.f64 64009/1000000 (.f64 759/25000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 64009/1000000 (.f64 9/625 (.f64 x x))) (+.f64 253/1000 (.f64 -3/25 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3)))) (neg.f64 (+.f64 64009/1000000 (-.f64 (.f64 9/625 (.f64 x x)) (.f64 759/25000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 64009/1000000 (.f64 9/625 (.f64 x x)))) (neg.f64 (+.f64 253/1000 (.f64 -3/25 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 9/625 (.f64 x x)) 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 expm1.f64 (log1p.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 exp.f64 (log.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 fma.f64 3/25 x 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 3/25) 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 3/25)) 2) (cbrt.f64 (.f64 x 3/25)) 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 3/25)) (sqrt.f64 (*.f64 x 3/25)) 253/1000)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 3/25)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3/25) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 3/25)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 3/25)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 27/15625 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9/625 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 27/15625 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 3/25)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 253/1000) (*.f64 x (*.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 3/25)) (*.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 253/1000) 1) (*.f64 (*.f64 x (*.f64 x 3/25)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x 3/25 253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 253/1000) 3) (pow.f64 (*.f64 x (*.f64 x 3/25)) 3)) (+.f64 (*.f64 (*.f64 x 253/1000) (*.f64 x 253/1000)) (-.f64 (*.f64 (*.f64 x (*.f64 x 3/25)) (*.f64 x (*.f64 x 3/25))) (*.f64 (*.f64 x 253/1000) (*.f64 x (*.f64 x 3/25))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 253/1000) (*.f64 x 253/1000)) (*.f64 (*.f64 x (*.f64 x 3/25)) (*.f64 x (*.f64 x 3/25)))) (-.f64 (*.f64 x 253/1000) (*.f64 x (*.f64 x 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 16194277/1000000000 (*.f64 27/15625 (pow.f64 x 3))) x) (+.f64 64009/1000000 (-.f64 (*.f64 9/625 (*.f64 x x)) (*.f64 759/25000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 64009/1000000 (*.f64 9/625 (*.f64 x x))) x) (+.f64 253/1000 (*.f64 -3/25 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 16194277/1000000000 (*.f64 27/15625 (pow.f64 x 3)))) (+.f64 64009/1000000 (-.f64 (*.f64 9/625 (*.f64 x x)) (*.f64 759/25000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 64009/1000000 (*.f64 9/625 (*.f64 x x)))) (+.f64 253/1000 (*.f64 -3/25 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x 3/25 253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x 3/25 253/1000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3/25 253/1000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3/25 253/1000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 3/25 253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x 3/25 253/1000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 3/25 253/1000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 3/25 253/1000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 3/25 253/1000) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 253/1000 (*.f64 x (*.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 253/1000 x (*.f64 x (*.f64 x 3/25)))))))

((#(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 (/.f64 64009/1000000 (+.f64 253/1000 (*.f64 -3/25 x))) (/.f64 (*.f64 9/625 (*.f64 x x)) (+.f64 253/1000 (*.f64 -3/25 x))))))) (#(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 16194277/1000000000 (*.f64 27/15625 (pow.f64 x 3))) (/.f64 1 (+.f64 64009/1000000 (-.f64 (*.f64 9/625 (*.f64 x x)) (*.f64 759/25000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 64009/1000000 (*.f64 9/625 (*.f64 x x))) (/.f64 1 (+.f64 253/1000 (*.f64 -3/25 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 64009/1000000 (-.f64 (*.f64 9/625 (*.f64 x x)) (*.f64 759/25000 x))) (+.f64 16194277/1000000000 (*.f64 27/15625 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 253/1000 (*.f64 -3/25 x)) (-.f64 64009/1000000 (*.f64 9/625 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 16194277/1000000000 (*.f64 27/15625 (pow.f64 x 3))) (+.f64 64009/1000000 (-.f64 (*.f64 9/625 (*.f64 x x)) (*.f64 759/25000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 16194277/1000000000 (*.f64 27/15625 (pow.f64 x 3))) (+.f64 (*.f64 9/625 (*.f64 x x)) (-.f64 64009/1000000 (*.f64 759/25000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 64009/1000000 (*.f64 9/625 (*.f64 x x))) (+.f64 253/1000 (*.f64 -3/25 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 16194277/1000000000 (*.f64 27/15625 (pow.f64 x 3)))) (neg.f64 (+.f64 64009/1000000 (-.f64 (*.f64 9/625 (*.f64 x x)) (*.f64 759/25000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 64009/1000000 (*.f64 9/625 (*.f64 x x)))) (neg.f64 (+.f64 253/1000 (*.f64 -3/25 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 9/625 (*.f64 x x)) 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 expm1.f64 (log1p.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 exp.f64 (log.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 fma.f64 3/25 x 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 3/25) 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/25)) 2) (cbrt.f64 (*.f64 x 3/25)) 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 3/25)) (sqrt.f64 (*.f64 x 3/25)) 253/1000)))))

simplify215.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
561×	`cube-prod_binary64`
552×	`fabs-mul_binary64`
546×	`associate-l_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	237
1	22	219
2	36	192
3	62	192
4	156	192
5	472	192
6	1719	192
7	2983	192
8	3187	192
9	3401	192
10	3621	192
11	3931	192
12	4333	192
13	4848	192
14	5414	192
15	6098	192
16	6931	192
17	7325	192
18	7613	192
19	7891	192
20	7963	192
21	7999	192

Stop Event

1×	node limit

Counts

103 → 76

Calls

Call 1

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

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

localize14.0ms (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)

Compiler

Compiled 16 to 12 computations (25% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(fma.f64 x -3/25 -253/1000)
1.0ms	x	@	0	(fma.f64 x -3/25 -253/1000)
1.0ms	x	@	inf	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
1.0ms	x	@	0	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
1.0ms	x	@	-inf	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)

rewrite69.0ms (0.9%)

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 expm1.f64 (log1p.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 exp.f64 (log.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 expm1.f64 (log1p.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 exp.f64 (log.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 expm1.f64 (log1p.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 exp.f64 (log.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 expm1.f64 (log1p.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 exp.f64 (log.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))))

simplify164.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
540×	`cube-prod_binary64`
535×	`associate-l_binary64`
530×	`fabs-mul_binary64`
494×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	182
1	34	168
2	56	156
3	88	144
4	196	144
5	536	144
6	1796	144
7	3152	144
8	3358	144
9	3571	144
10	3791	144
11	4104	144
12	4506	144
13	5017	144
14	5584	144
15	6266	144
16	7101	144
17	7497	144
18	7787	144

Stop Event

1×	node limit

Counts

66 → 55

Calls

Call 1

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

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

eval82.0ms (1%)

Compiler: Compiled 1615 to 1256 computations (22.2% saved)

prune56.0ms (0.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	120	11	131
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	121	12	133

Error

Counts

133 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.1b	(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 9/625 (.f64 x x))) x) (+.f64 253/1000 (.f64 -3/25 x))))
	0.4b	(-.f64 1 (.f64 x (+.f64 253/1000 (pow.f64 (cbrt.f64 (.f64 x 3/25)) 3))))
▶	43.4b	(.f64 -3/25 (.f64 x x))
▶	0.1b	(-.f64 1 (+.f64 (.f64 x (.f64 x 3/25)) (*.f64 x 253/1000)))
▶	1.3b	(-.f64 1 (.f64 3/25 (.f64 x x)))
▶	11.1b	(-.f64 1 (/.f64 (.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) x) (+.f64 64009/1000000 (-.f64 (.f64 9/625 (.f64 x x)) (*.f64 759/25000 x)))))
	11.1b	(-.f64 1 (/.f64 (-.f64 (.f64 (.f64 x 253/1000) (.f64 x 253/1000)) (.f64 (.f64 x (.f64 x 3/25)) (.f64 x (.f64 x 3/25)))) (-.f64 (.f64 x 253/1000) (.f64 x (*.f64 x 3/25)))))
	34.3b	(-.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x 253/1000) 3) (pow.f64 (.f64 x (.f64 x 3/25)) 3)) (+.f64 (.f64 (.f64 x 253/1000) (.f64 x 253/1000)) (-.f64 (.f64 (.f64 x (.f64 x 3/25)) (.f64 x (.f64 x 3/25))) (.f64 (.f64 x 253/1000) (.f64 x (*.f64 x 3/25)))))))
	19.5b	(-.f64 1 (*.f64 x 253/1000))
✓	0.1b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
	20.5b	1
	0.1b	(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 9/625 (.f64 x x)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))

Compiler

Compiled 378 to 288 computations (23.8% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x (.f64 x 3/25)) (*.f64 x 253/1000))
✓	0.1b	(*.f64 x 253/1000)
✓	0.1b	(.f64 x (.f64 x 3/25))
	0.3b	(*.f64 x 3/25)

Compiler

Compiled 36 to 25 computations (30.6% saved)

series9.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(.f64 x (.f64 x 3/25))
1.0ms	x	@	0	(.f64 x (.f64 x 3/25))
1.0ms	x	@	inf	(+.f64 (.f64 x (.f64 x 3/25)) (*.f64 x 253/1000))
1.0ms	x	@	-inf	(*.f64 x 253/1000)
1.0ms	x	@	inf	(*.f64 x 253/1000)

rewrite85.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

897×	`pow1_binary64`
841×	`add-log-exp_binary64`
841×	`log1p-expm1-u_binary64`
841×	`expm1-log1p-u_binary64`
826×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	176	19
2	2298	19

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 3/25))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3/25)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3/25))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3/25)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 27/15625) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 3/25)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 27/15625))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 3/25))))))))

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x 3/25 253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x 3/25)) 2) (*.f64 x (-.f64 (*.f64 x 3/25) 253/1000))) (/.f64 (*.f64 (*.f64 x x) 64009/1000000) (*.f64 x (-.f64 (*.f64 x 3/25) 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 1 (*.f64 x (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3/25 253/1000))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3/25 253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3/25 253/1000))) 2) (cbrt.f64 (*.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3/25 253/1000))) (sqrt.f64 (*.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 27/15625) (*.f64 (pow.f64 x 3) 16194277/1000000000)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x 3/25)) 2) (*.f64 (*.f64 x 253/1000) (-.f64 (*.f64 x 253/1000) (*.f64 x (*.f64 x 3/25)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 3/25)) 2) (*.f64 (*.f64 x x) 64009/1000000)) (/.f64 1 (*.f64 x (-.f64 (*.f64 x 3/25) 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 3/25 253/1000) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 3/25)) 2) (*.f64 (*.f64 x 253/1000) (-.f64 (*.f64 x 253/1000) (*.f64 x (*.f64 x 3/25))))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 27/15625) (*.f64 (pow.f64 x 3) 16194277/1000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (-.f64 (*.f64 x 3/25) 253/1000)) (-.f64 (pow.f64 (*.f64 x (*.f64 x 3/25)) 2) (*.f64 (*.f64 x x) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 27/15625) (*.f64 (pow.f64 x 3) 16194277/1000000000)) (+.f64 (pow.f64 (*.f64 x (*.f64 x 3/25)) 2) (*.f64 (*.f64 x 253/1000) (-.f64 (*.f64 x 253/1000) (*.f64 x (*.f64 x 3/25))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 27/15625) (*.f64 (pow.f64 x 3) 16194277/1000000000)) (+.f64 (*.f64 (*.f64 x x) 64009/1000000) (-.f64 (pow.f64 (*.f64 x (*.f64 x 3/25)) 2) (*.f64 x (*.f64 (*.f64 x 3/25) (*.f64 x 253/1000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 3/25)) 2) (*.f64 (*.f64 x x) 64009/1000000)) (*.f64 x (-.f64 (*.f64 x 3/25) 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 27/15625) (*.f64 (pow.f64 x 3) 16194277/1000000000))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 3/25)) 2) (*.f64 (*.f64 x 253/1000) (-.f64 (*.f64 x 253/1000) (*.f64 x (*.f64 x 3/25)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 3/25)) 2) (*.f64 (*.f64 x x) 64009/1000000))) (neg.f64 (*.f64 x (-.f64 (*.f64 x 3/25) 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 64009/1000000) (pow.f64 (*.f64 x (*.f64 x 3/25)) 2)) (-.f64 (*.f64 x 253/1000) (*.f64 x (*.f64 x 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x 3/25 253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x 3/25 253/1000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3/25 253/1000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3/25 253/1000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 3/25 253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 3/25 253/1000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 3/25) (*.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 253/1000 (*.f64 x (*.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 3/25) x (*.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 253/1000 x (*.f64 x (*.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 3/25)) (*.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 253/1000) (*.f64 x (*.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 3/25 (*.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3/25))) 2) (cbrt.f64 (*.f64 x (*.f64 x 3/25))) (*.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 253/1000)) 2) (cbrt.f64 (*.f64 x 253/1000)) (*.f64 x (*.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 3/25)) (*.f64 x (sqrt.f64 3/25)) (*.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 253/1000)) (sqrt.f64 (*.f64 x 253/1000)) (*.f64 x (*.f64 x 3/25)))))))

simplify202.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
561×	`cube-prod_binary64`
549×	`fabs-mul_binary64`
542×	`associate-l_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	249
1	18	249
2	32	240
3	69	222
4	168	222
5	495	222
6	1761	222
7	3001	222
8	3205	222
9	3418	222
10	3638	222
11	3946	222
12	4348	222
13	4857	222
14	5423	222
15	6111	222
16	6952	222
17	7346	222
18	7634	222
19	7910	222
20	7982	222

Stop Event

1×	node limit

Counts

100 → 70

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 -3/25 (.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`pow1_binary64`
422×	`add-sqr-sqrt_binary64`
411×	`*-un-lft-identity_binary64`
403×	`add-log-exp_binary64`
403×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1150	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 -3/25 (.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -3/25 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -3/25) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 -3/25) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -3/25) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -3/25) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -3/25) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -3/25 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -3/25 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -3/25 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -3/25 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -3/25)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9/625 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -3/25) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -3/25 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -3/25 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -3/25 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -3/25 (*.f64 x x))))))))

simplify187.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	105	84
5	331	84
6	1250	84
7	2123	84
8	2287	84
9	2471	84
10	2679	84
11	2976	84
12	3371	84
13	3852	84
14	4418	84
15	5102	84
16	5935	84
17	6327	84
18	6619	84
19	6895	84
20	6969	84
21	7003	84
22	7944	84

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

Inputs
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))

Outputs
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 3/25 (.f64 x x))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`pow1_binary64`
421×	`add-sqr-sqrt_binary64`
411×	`*-un-lft-identity_binary64`
402×	`add-log-exp_binary64`
402×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1148	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 3/25 (.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3/25 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3/25) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 3/25) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/25) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/25) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/25) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3/25 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/25 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3/25 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3/25 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3/25)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9/625 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3/25) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3/25 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3/25 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3/25 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3/25 (*.f64 x x))))))))

simplify186.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	105	84
5	331	84
6	1250	84
7	2123	84
8	2287	84
9	2471	84
10	2679	84
11	2976	84
12	3371	84
13	3852	84
14	4418	84
15	5102	84
16	5935	84
17	6327	84
18	6619	84
19	6895	84
20	6969	84
21	7003	84
22	7944	84

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

Inputs
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))

Outputs
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 3/25 x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 3/25 x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 3/25 x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 3/25 x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 3/25 x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 3/25 x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 3/25 x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 3/25 x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 3/25 x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 3/25 x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 3/25 x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 3/25 x))

localize48.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 9/625 (.f64 x x))
✓	0.3b	(*.f64 -3/25 x)
✓	0.3b	(.f64 (-.f64 64009/1000000 (.f64 9/625 (*.f64 x x))) x)
✓	6.7b	(/.f64 (.f64 (-.f64 64009/1000000 (.f64 9/625 (.f64 x x))) x) (+.f64 253/1000 (.f64 -3/25 x)))

Compiler

Compiled 71 to 46 computations (35.2% saved)

series12.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(.f64 (-.f64 64009/1000000 (.f64 9/625 (*.f64 x x))) x)
2.0ms	x	@	0	(/.f64 (.f64 (-.f64 64009/1000000 (.f64 9/625 (.f64 x x))) x) (+.f64 253/1000 (.f64 -3/25 x)))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 64009/1000000 (.f64 9/625 (.f64 x x))) x) (+.f64 253/1000 (.f64 -3/25 x)))
1.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 64009/1000000 (.f64 9/625 (.f64 x x))) x) (+.f64 253/1000 (.f64 -3/25 x)))
1.0ms	x	@	inf	(.f64 9/625 (.f64 x x))

rewrite107.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

673×	`log-prod_binary64`
458×	`prod-diff_binary64`
258×	`fma-def_binary64`
239×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	297	32
2	4015	30

Stop Event

1×	node limit

Counts

4 → 110

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 64009/1000000 (.f64 9/625 (.f64 x x))) x) (+.f64 253/1000 (.f64 -3/25 x)))
(.f64 (-.f64 64009/1000000 (.f64 9/625 (*.f64 x x))) x)
(*.f64 -3/25 x)
(.f64 9/625 (.f64 x x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 x (fma.f64 x -3/25 253/1000)))) (cbrt.f64 (exp.f64 (.f64 x (fma.f64 x -3/25 253/1000)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 x (fma.f64 x -3/25 253/1000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 x (fma.f64 x -3/25 253/1000))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 x (fma.f64 x -3/25 253/1000))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x -3/25 253/1000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 64009/1000000 (/.f64 (fma.f64 x -3/25 253/1000) x)) (/.f64 (.f64 9/625 (.f64 x x)) (/.f64 (fma.f64 x -3/25 253/1000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (fma.f64 x -3/25 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 x x) -9/625 64009/1000000) (/.f64 1 (/.f64 (fma.f64 x -3/25 253/1000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 x x) -9/625 64009/1000000) (.f64 x (/.f64 1 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000)) (/.f64 1 (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x -3/25 253/1000) x)))) (#(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 1 (.f64 x (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))) 2) (.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))) (/.f64 1 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (fma.f64 x -3/25 253/1000))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -3/25 253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -3/25 253/1000))) 2) (cbrt.f64 (.f64 x (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))) (.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))) (/.f64 1 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (fma.f64 x -3/25 253/1000))) (sqrt.f64 (.f64 x (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (neg.f64 (fma.f64 (.f64 x x) -9/625 64009/1000000))) (/.f64 1 (neg.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x -3/25 253/1000)) (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x 1) (fma.f64 x -3/25 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (.f64 x x) -9/625 64009/1000000) 1) (/.f64 x (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))) 2) 1) (/.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))) (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))) 1) (/.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))) (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) 2)) (/.f64 (fma.f64 (.f64 x x) -9/625 64009/1000000) (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (.f64 x x) -9/625 64009/1000000) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) 2)) (/.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000)) (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))) 2) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) 2)) (cbrt.f64 (.f64 x (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) 2)) (/.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))) (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (sqrt.f64 (fma.f64 x -3/25 253/1000))) (/.f64 (fma.f64 (.f64 x x) -9/625 64009/1000000) (sqrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (.f64 x x) -9/625 64009/1000000) (sqrt.f64 (fma.f64 x -3/25 253/1000))) (/.f64 x (sqrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 x -3/25 253/1000))) (/.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000)) (sqrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))) 2) (sqrt.f64 (fma.f64 x -3/25 253/1000))) (/.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))) (sqrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000)) (fma.f64 -27/15625 (pow.f64 x 3) 16194277/1000000000)) (fma.f64 (.f64 x -3/25) (fma.f64 x -3/25 -253/1000) 64009/1000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000)) (fma.f64 (.f64 x x) -9/625 64009/1000000)) (fma.f64 x -3/25 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x -3/25 253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x -3/25 253/1000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -3/25 253/1000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 x -3/25 253/1000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (.f64 x (fma.f64 x -3/25 253/1000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (.f64 x (fma.f64 x -3/25 253/1000))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000)) (neg.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 x -3/25 253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 x (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x -3/25 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x -3/25 253/1000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000)) 3) (pow.f64 (fma.f64 x -3/25 253/1000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 x (fma.f64 x -3/25 253/1000))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 64009/1000000 x) (.f64 (.f64 (.f64 -9/625 x) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 64009/1000000) (.f64 x (.f64 (.f64 -9/625 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (.f64 x x) -9/625 64009/1000000)) x)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (.f64 x x) -9/625 64009/1000000)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (.f64 x x) -9/625 64009/1000000)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (.f64 x x) -9/625 64009/1000000)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (.f64 x x) -9/625 64009/1000000)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 262254607552729/1000000000000000000 (.f64 (pow.f64 (.f64 x x) 3) 729/244140625)) x) (+.f64 4097152081/1000000000000 (fma.f64 576081/625000000 (.f64 x x) (.f64 (pow.f64 x 4) 81/390625))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 4097152081/1000000000000 (.f64 (pow.f64 x 4) 81/390625)) x) (fma.f64 9/625 (.f64 x x) 64009/1000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 262254607552729/1000000000000000000 (.f64 (pow.f64 (.f64 x x) 3) 729/244140625))) (+.f64 4097152081/1000000000000 (fma.f64 576081/625000000 (.f64 x x) (.f64 (pow.f64 x 4) 81/390625))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 4097152081/1000000000000 (.f64 (pow.f64 x 4) 81/390625))) (fma.f64 9/625 (.f64 x x) 64009/1000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (.f64 x x) -9/625 64009/1000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (.f64 x x) -9/625 64009/1000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) -9/625 64009/1000000) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 64009/1000000 x (.f64 (.f64 (.f64 -9/625 x) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 64009/1000000 (.f64 x (.f64 (.f64 -9/625 x) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x -3/25))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -3/25) x)) (cbrt.f64 (pow.f64 (exp.f64 -3/25) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -3/25) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -3/25) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -3/25) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x -3/25))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 9/625 (.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x -3/25) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x -3/25)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x -3/25)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -27/15625 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 9/625 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 x -3/25))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -3/25) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x -3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 -27/15625 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x -3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x -3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x -3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 x -3/25)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 9/625 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 9/625) (.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 9/625) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/625) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/625) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/625) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 9/625 (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 9/625 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x -3/25) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 x -3/25)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 729/244140625) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 4) 81/390625))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9/625) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 9/625 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 729/244140625))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 9/625 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 9/625 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) (log.f64 9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 9/625)) 1))))))

simplify143.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

842×	`fma-def_binary64`
568×	`distribute-lft-in_binary64`
568×	`distribute-rgt-in_binary64`
542×	`associate-l_binary64`
536×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	318
1	39	318
2	78	309
3	187	291
4	525	291
5	1931	291
6	3266	291
7	3545	291
8	4118	291
9	5193	291
10	7176	291
11	7701	291

Stop Event

1×	node limit

Counts

146 → 122

Calls

Call 1

Inputs
(*.f64 253/1000 x)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 64009/1000000 x)
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(*.f64 -9/625 (pow.f64 x 3))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(*.f64 -9/625 (pow.f64 x 3))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))

Outputs
(*.f64 253/1000 x)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 x 3/25))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 x 3/25))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(*.f64 64009/1000000 x)
(*.f64 x 64009/1000000)
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 -9/625 (.f64 x x) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 -9/625 (.f64 x x) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 -9/625 (.f64 x x) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(*.f64 -9/625 (pow.f64 x 3))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 -9/625 (.f64 x x) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 -9/625 (.f64 x x) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 -9/625 (.f64 x x) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(*.f64 -9/625 (pow.f64 x 3))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 -9/625 (.f64 x x) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 -9/625 (.f64 x x) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 -9/625 (.f64 x x) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(*.f64 9/625 (pow.f64 x 2))
(.f64 (.f64 x x) 9/625)
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 (.f64 x x) 9/625)
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 (.f64 x x) 9/625)
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 (.f64 x x) 9/625)
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 (.f64 x x) 9/625)
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 (.f64 x x) 9/625)
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 (.f64 x x) 9/625)
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 (.f64 x x) 9/625)
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 (.f64 x x) 9/625)
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 (.f64 x x) 9/625)
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 (.f64 x x) 9/625)
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 (.f64 x x) 9/625)
(.f64 x (.f64 x 9/625))

localize73.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 27/15625 (pow.f64 x 3))
	0.2b	(.f64 9/625 (.f64 x x))
✓	0.3b	(*.f64 759/25000 x)
✓	10.5b	(/.f64 (.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) x) (+.f64 64009/1000000 (-.f64 (.f64 9/625 (.f64 x x)) (*.f64 759/25000 x))))

Compiler

Compiled 108 to 76 computations (29.6% saved)

series13.0ms (0.2%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(/.f64 (.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) x) (+.f64 64009/1000000 (-.f64 (.f64 9/625 (.f64 x x)) (*.f64 759/25000 x))))
2.0ms	x	@	inf	(/.f64 (.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) x) (+.f64 64009/1000000 (-.f64 (.f64 9/625 (.f64 x x)) (*.f64 759/25000 x))))
1.0ms	x	@	-inf	(/.f64 (.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) x) (+.f64 64009/1000000 (-.f64 (.f64 9/625 (.f64 x x)) (*.f64 759/25000 x))))
1.0ms	x	@	-inf	(*.f64 27/15625 (pow.f64 x 3))
1.0ms	x	@	inf	(*.f64 27/15625 (pow.f64 x 3))

rewrite108.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`fma-def_binary64`
360×	`fma-neg_binary64`
330×	`expm1-udef_binary64`
330×	`log1p-udef_binary64`
201×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	42
1	427	37
2	5616	33

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

Inputs

(/.f64 (*.f64 (+.f64 16194277/1000000000 (*.f64 27/15625 (pow.f64 x 3))) x) (+.f64 64009/1000000 (-.f64 (*.f64 9/625 (*.f64 x x)) (*.f64 759/25000 x))))

(*.f64 759/25000 x)

(*.f64 27/15625 (pow.f64 x 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (/.f64 1 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (/.f64 1 (/.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (*.f64 x (/.f64 1 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) (/.f64 1 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)) 2) (cbrt.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) 2)) (*.f64 (cbrt.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000))) (/.f64 1 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)) (sqrt.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000))) (*.f64 (sqrt.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000))) (/.f64 1 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000))) (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) 1) (/.f64 x (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000))) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000))) 1) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000))) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000) 2))) (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (cbrt.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000) 2))) (/.f64 x (cbrt.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000) 2))) (/.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) (cbrt.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) 2)) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000) 2))) (cbrt.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000))) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000) 2))) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000))) (cbrt.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))) (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (sqrt.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (sqrt.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))) (/.f64 x (sqrt.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))) (/.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) (sqrt.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) 2)) (sqrt.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000))) (sqrt.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) (+.f64 262254607552729/1000000000000000000 (pow.f64 (*.f64 x (fma.f64 x 9/625 -759/25000)) 3))) (fma.f64 (*.f64 x (fma.f64 x 9/625 -759/25000)) (fma.f64 x (fma.f64 x 9/625 -759/25000) -64009/1000000) 4097152081/1000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) (-.f64 4097152081/1000000000000 (pow.f64 (*.f64 x (fma.f64 x 9/625 -759/25000)) 2))) (-.f64 64009/1000000 (*.f64 x (fma.f64 x 9/625 -759/25000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000) (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) (neg.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) 3) (pow.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 759/25000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 759/25000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 759/25000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 759/25000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 437245479/15625000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 576081/625000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 759/25000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 759/25000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 437245479/15625000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 759/25000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 759/25000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 759/25000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 759/25000)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 27/15625 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 27/15625 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3/25) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 27/15625) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 19683/3814697265625) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 729/244140625))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 27/15625) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 27/15625 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 19683/3814697265625))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 27/15625 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 27/15625 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 27/15625 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 27/15625 (pow.f64 x 3))) 1))))))

simplify201.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
559×	`fabs-mul_binary64`
529×	`associate-l_binary64`
528×	`pow-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	117
1	18	117
2	32	108
3	68	90
4	168	90
5	480	90
6	1702	90
7	2955	90
8	3159	90
9	3372	90
10	3592	90
11	3905	90
12	4307	90
13	4820	90
14	5388	90
15	6070	90
16	6905	90
17	7299	90
18	7587	90
19	7863	90
20	7939	90
21	7975	90

Stop Event

1×	node limit

Counts

83 → 76

Calls

Call 1

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

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

eval273.0ms (3.4%)

Compiler: Compiled 6238 to 4746 computations (23.9% saved)

prune88.0ms (1.1%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	325	5	330
Fresh	3	3	6
Picked	0	1	1
Done	2	3	5
Total	330	12	342

Error

Counts

342 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.3b	(-.f64 1 (.f64 3/25 (.f64 x x)))
	0.1b	(-.f64 1 (fma.f64 (.f64 x x) 3/25 (.f64 x 253/1000)))
✓	43.4b	(.f64 -3/25 (.f64 x x))
▶	0.1b	(-.f64 1 (+.f64 (.f64 3/25 (.f64 x x)) (*.f64 x 253/1000)))
✓	11.1b	(-.f64 1 (/.f64 (.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) x) (+.f64 64009/1000000 (-.f64 (.f64 9/625 (.f64 x x)) (*.f64 759/25000 x)))))
▶	43.4b	(.f64 x (.f64 -3/25 x))
▶	19.5b	(-.f64 1 (*.f64 x 253/1000))
✓	0.1b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
▶	7.1b	(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 x (.f64 x 9/625))) x) (+.f64 253/1000 (.f64 -3/25 x))))
	20.5b	1
	43.7b	(pow.f64 (cbrt.f64 (.f64 -3/25 (.f64 x x))) 3)
▶	0.1b	(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 9/625 (.f64 x x)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))

Compiler

Compiled 210 to 161 computations (23.3% saved)

localize24.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 3/25 (.f64 x x)) (*.f64 x 253/1000))
	0.1b	(*.f64 x 253/1000)
	0.2b	(.f64 3/25 (.f64 x x))

Compiler

Compiled 36 to 21 computations (41.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite73.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`pow1_binary64`
814×	`add-log-exp_binary64`
814×	`log1p-expm1-u_binary64`
814×	`expm1-log1p-u_binary64`
798×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	175	10
2	2265	10

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (+.f64 (*.f64 3/25 x) 253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 9/625 (pow.f64 x 4)) (*.f64 x (-.f64 (*.f64 3/25 x) 253/1000))) (/.f64 (*.f64 (*.f64 x x) 64009/1000000) (*.f64 x (-.f64 (*.f64 3/25 x) 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (*.f64 3/25 x) 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 253/1000 (*.f64 3/25 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 (*.f64 3/25 x) 253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 (*.f64 3/25 x) 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 3/25 x) 253/1000))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 3/25 x) 253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 3/25 x) 253/1000))) 2) (cbrt.f64 (*.f64 x (+.f64 (*.f64 3/25 x) 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 3/25 x) 253/1000))) (sqrt.f64 (*.f64 x (+.f64 (*.f64 3/25 x) 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 3/25 (*.f64 x x)) 3) (*.f64 16194277/1000000000 (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 9/625 (pow.f64 x 4)) (*.f64 (*.f64 x 253/1000) (-.f64 (*.f64 x 253/1000) (*.f64 3/25 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 9/625 (pow.f64 x 4)) (*.f64 (*.f64 x x) 64009/1000000)) (/.f64 1 (*.f64 x (-.f64 (*.f64 3/25 x) 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 9/625 (pow.f64 x 4)) (*.f64 (*.f64 x 253/1000) (-.f64 (*.f64 x 253/1000) (*.f64 3/25 (*.f64 x x))))) (+.f64 (pow.f64 (*.f64 3/25 (*.f64 x x)) 3) (*.f64 16194277/1000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (-.f64 (*.f64 3/25 x) 253/1000)) (-.f64 (*.f64 9/625 (pow.f64 x 4)) (*.f64 (*.f64 x x) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3/25 (*.f64 x x)) 3) (*.f64 16194277/1000000000 (pow.f64 x 3))) (+.f64 (*.f64 9/625 (pow.f64 x 4)) (*.f64 (*.f64 x 253/1000) (-.f64 (*.f64 x 253/1000) (*.f64 3/25 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3/25 (*.f64 x x)) 3) (*.f64 16194277/1000000000 (pow.f64 x 3))) (+.f64 (*.f64 (*.f64 x x) 64009/1000000) (-.f64 (*.f64 9/625 (pow.f64 x 4)) (*.f64 (*.f64 3/25 (*.f64 x x)) (*.f64 x 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 9/625 (pow.f64 x 4)) (*.f64 (*.f64 x x) 64009/1000000)) (*.f64 x (-.f64 (*.f64 3/25 x) 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 3/25 (*.f64 x x)) 3) (*.f64 16194277/1000000000 (pow.f64 x 3)))) (neg.f64 (+.f64 (*.f64 9/625 (pow.f64 x 4)) (*.f64 (*.f64 x 253/1000) (-.f64 (*.f64 x 253/1000) (*.f64 3/25 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 9/625 (pow.f64 x 4)) (*.f64 (*.f64 x x) 64009/1000000))) (neg.f64 (*.f64 x (-.f64 (*.f64 3/25 x) 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 64009/1000000) (*.f64 9/625 (pow.f64 x 4))) (-.f64 (*.f64 x 253/1000) (*.f64 3/25 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 (*.f64 3/25 x) 253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 3/25 x) 253/1000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 (*.f64 3/25 x) 253/1000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 3/25 x) 253/1000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 3/25 x) 253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (+.f64 (*.f64 3/25 x) 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 (*.f64 3/25 x) 253/1000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 (*.f64 3/25 x) 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 (*.f64 3/25 x) 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 (*.f64 3/25 x) 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/25 (*.f64 x x) (*.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 253/1000 (*.f64 3/25 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 3/25 (*.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 253/1000 x (*.f64 3/25 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3/25 (*.f64 x x)) (*.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 253/1000) (*.f64 3/25 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9/625 (pow.f64 x 4))) (cbrt.f64 (*.f64 3/25 (*.f64 x x))) (*.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 253/1000)) 2) (cbrt.f64 (*.f64 x 253/1000)) (*.f64 3/25 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 3/25)) (*.f64 x (sqrt.f64 3/25)) (*.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 253/1000)) (sqrt.f64 (*.f64 x 253/1000)) (*.f64 3/25 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/25 x) x (*.f64 x 253/1000))))))

simplify199.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
559×	`fabs-mul_binary64`
529×	`associate-l_binary64`
528×	`pow-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	117
1	18	117
2	32	108
3	68	90
4	168	90
5	480	90
6	1702	90
7	2955	90
8	3159	90
9	3372	90
10	3592	90
11	3905	90
12	4307	90
13	4820	90
14	5388	90
15	6070	90
16	6905	90
17	7299	90
18	7587	90
19	7863	90
20	7939	90
21	7975	90

Stop Event

1×	node limit

Counts

52 → 45

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 -3/25 x))
	0.3b	(*.f64 -3/25 x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

446×	`pow1_binary64`
433×	`add-sqr-sqrt_binary64`
423×	`*-un-lft-identity_binary64`
414×	`add-log-exp_binary64`
414×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	101	7
2	1135	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 x (.f64 -3/25 x))

Outputs

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

simplify192.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	105	84
5	331	84
6	1250	84
7	2123	84
8	2287	84
9	2471	84
10	2679	84
11	2976	84
12	3371	84
13	3852	84
14	4418	84
15	5102	84
16	5935	84
17	6327	84
18	6619	84
19	6895	84
20	6969	84
21	7003	84
22	7944	84

Stop Event

1×	node limit

Counts

23 → 13

Calls

Call 1

Inputs
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))

Outputs
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x 253/1000)

Compiler

Compiled 12 to 9 computations (25% saved)

localize50.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (/.f64 (-.f64 (.f64 9/625 (.f64 x x)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000)))
✓	0.1b	(/.f64 (-.f64 (.f64 9/625 (.f64 x x)) 64009/1000000) (-.f64 (*.f64 x 3/25) 253/1000))
	0.2b	(.f64 9/625 (.f64 x x))
	0.3b	(*.f64 x 3/25)

Compiler

Compiled 75 to 50 computations (33.3% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 x (/.f64 (-.f64 (.f64 9/625 (.f64 x x)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000)))
1.0ms	x	@	0	(/.f64 (-.f64 (.f64 9/625 (.f64 x x)) 64009/1000000) (-.f64 (*.f64 x 3/25) 253/1000))
1.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 9/625 (.f64 x x)) 64009/1000000) (-.f64 (*.f64 x 3/25) 253/1000))
1.0ms	x	@	inf	(.f64 x (/.f64 (-.f64 (.f64 9/625 (.f64 x x)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000)))
1.0ms	x	@	inf	(/.f64 (-.f64 (.f64 9/625 (.f64 x x)) 64009/1000000) (-.f64 (*.f64 x 3/25) 253/1000))

rewrite190.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

668×	`log-prod_binary64`
341×	`fma-def_binary64`
311×	`prod-diff_binary64`
246×	`fma-neg_binary64`
244×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	299	13
2	4001	13

Stop Event

1×	node limit

Counts

2 → 227

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 9/625 (.f64 x x)) 64009/1000000) (-.f64 (*.f64 x 3/25) 253/1000))
(.f64 x (/.f64 (-.f64 (.f64 9/625 (.f64 x x)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 3/25 253/1000)) x)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 3/25 253/1000)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 3/25 253/1000)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 3/25 253/1000)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 3/25 253/1000)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 3/25 253/1000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 3/25 -253/1000) (*.f64 x (fma.f64 9/625 (*.f64 x x) -64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 9/625 (*.f64 x x) -64009/1000000)) (fma.f64 x 3/25 -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (fma.f64 9/625 (*.f64 x x) -64009/1000000))) (neg.f64 (fma.f64 x 3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 9/625 (*.f64 x x) -64009/1000000)) 1) (fma.f64 x 3/25 -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 9/625 (*.f64 x x) -64009/1000000)) (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 (/.f64 (*.f64 x (fma.f64 9/625 (*.f64 x x) -64009/1000000)) (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 (neg.f64 (fma.f64 9/625 (*.f64 x x) -64009/1000000)) x) (neg.f64 (fma.f64 x 3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (fma.f64 9/625 (*.f64 x x) -64009/1000000))) (neg.f64 (fma.f64 x 3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x 3/25 253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x 3/25 253/1000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3/25 253/1000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3/25 253/1000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 3/25 253/1000) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x 3/25 253/1000) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 3/25 -253/1000) (*.f64 x (fma.f64 9/625 (*.f64 x x) -64009/1000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 3/25 253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x 3/25 253/1000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 3/25 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 3/25 253/1000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 3/25 253/1000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 3/25 253/1000) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 3/25 253/1000))) 1))))))

simplify213.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
556×	`fabs-mul_binary64`
538×	`associate-l_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	189
1	22	171
2	36	144
3	62	144
4	154	144
5	476	144
6	1735	144
7	2973	144
8	3177	144
9	3390	144
10	3610	144
11	3920	144
12	4324	144
13	4837	144
14	5403	144
15	6091	144
16	6926	144
17	7318	144
18	7608	144
19	7886	144
20	7956	144
21	7992	144

Stop Event

1×	node limit

Counts

251 → 235

Calls

Call 1

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

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

localize50.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x 9/625)
	0.3b	(*.f64 -3/25 x)
✓	0.3b	(.f64 (-.f64 64009/1000000 (.f64 x (*.f64 x 9/625))) x)
✓	6.7b	(/.f64 (.f64 (-.f64 64009/1000000 (.f64 x (.f64 x 9/625))) x) (+.f64 253/1000 (.f64 -3/25 x)))

Compiler

Compiled 71 to 52 computations (26.8% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 x 9/625)
1.0ms	x	@	-inf	(*.f64 x 9/625)
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 64009/1000000 (.f64 x (.f64 x 9/625))) x) (+.f64 253/1000 (.f64 -3/25 x)))
1.0ms	x	@	inf	(*.f64 x 9/625)
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 64009/1000000 (.f64 x (.f64 x 9/625))) x) (+.f64 253/1000 (.f64 -3/25 x)))

rewrite109.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`log-prod_binary64`
465×	`prod-diff_binary64`
271×	`fma-def_binary64`
245×	`expm1-udef_binary64`
245×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	295	27
2	3993	25

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 64009/1000000 (.f64 x (.f64 x 9/625))) x) (+.f64 253/1000 (.f64 -3/25 x)))
(.f64 (-.f64 64009/1000000 (.f64 x (*.f64 x 9/625))) x)
(*.f64 x 9/625)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x))) (cbrt.f64 (exp.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 64009/1000000 (/.f64 (fma.f64 x -3/25 253/1000) x)) (/.f64 (*.f64 9/625 (*.f64 x x)) (/.f64 (fma.f64 x -3/25 253/1000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) (/.f64 1 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) (/.f64 1 (/.f64 (fma.f64 x -3/25 253/1000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) (*.f64 x (/.f64 1 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) (/.f64 1 (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) 2) (*.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) (/.f64 1 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x)) 2) (cbrt.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) (*.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) (/.f64 1 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x)) (sqrt.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000))) (/.f64 1 (neg.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x -3/25 253/1000)) (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 253/1000 (*.f64 3/25 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (+.f64 253/1000 (*.f64 3/25 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) 1) (/.f64 x (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) 1) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 x -3/25 253/1000) 2))) (/.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) (cbrt.f64 (pow.f64 (fma.f64 x -3/25 253/1000) 2))) (/.f64 x (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -3/25 253/1000) 2))) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) 2) (cbrt.f64 (pow.f64 (fma.f64 x -3/25 253/1000) 2))) (cbrt.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) (cbrt.f64 (pow.f64 (fma.f64 x -3/25 253/1000) 2))) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 x -3/25 253/1000))) (/.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) (sqrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) (sqrt.f64 (fma.f64 x -3/25 253/1000))) (/.f64 x (sqrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -3/25 253/1000))) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) (sqrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) 2) (sqrt.f64 (fma.f64 x -3/25 253/1000))) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) (sqrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) (fma.f64 (pow.f64 x 3) -27/15625 16194277/1000000000)) (fma.f64 (*.f64 x -3/25) (fma.f64 x -3/25 -253/1000) 64009/1000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) (fma.f64 (*.f64 x x) -9/625 64009/1000000)) (+.f64 253/1000 (*.f64 3/25 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) (neg.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) 3) (pow.f64 (fma.f64 x -3/25 253/1000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 253/1000 (*.f64 3/25 x)) x)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 64009/1000000 x) (*.f64 (*.f64 (*.f64 x x) -9/625) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 64009/1000000) (*.f64 x (*.f64 (*.f64 x x) -9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -9/625 64009/1000000))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -9/625 64009/1000000))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -9/625 64009/1000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -9/625 64009/1000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -9/625 64009/1000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 262254607552729/1000000000000000000 (*.f64 (pow.f64 (*.f64 x x) 3) 729/244140625)) x) (fma.f64 (*.f64 9/625 (*.f64 x x)) (fma.f64 9/625 (*.f64 x x) 64009/1000000) 4097152081/1000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4097152081/1000000000000 (pow.f64 (*.f64 9/625 (*.f64 x x)) 2)) x) (fma.f64 9/625 (*.f64 x x) 64009/1000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 262254607552729/1000000000000000000 (*.f64 (pow.f64 (*.f64 x x) 3) 729/244140625))) (fma.f64 (*.f64 9/625 (*.f64 x x)) (fma.f64 9/625 (*.f64 x x) 64009/1000000) 4097152081/1000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 4097152081/1000000000000 (pow.f64 (*.f64 9/625 (*.f64 x x)) 2))) (fma.f64 9/625 (*.f64 x x) 64009/1000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -9/625 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 64009/1000000 x (*.f64 (*.f64 (*.f64 x x) -9/625) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 64009/1000000 (*.f64 x (*.f64 (*.f64 x x) -9/625)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 9/625))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 9/625) x)) (cbrt.f64 (pow.f64 (exp.f64 9/625) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/625) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/625) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/625) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 9/625))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9/625) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9/625) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 9/625)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) 3/25) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 81/390625))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9/625) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 9/625))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 9/625) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 9/625)) 1))))))

simplify202.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	282
1	39	282
2	74	273
3	177	255
4	450	255
5	1739	255
6	3321	255
7	3527	255
8	3777	255
9	4064	255
10	4443	255
11	4961	255
12	5575	255
13	6281	255
14	6750	255
15	7067	255
16	7339	255
17	7509	255
18	7601	255

Stop Event

1×	node limit

Counts

128 → 104

Calls

Call 1

Inputs
(*.f64 253/1000 x)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 64009/1000000 x)
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(*.f64 -9/625 (pow.f64 x 3))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(*.f64 -9/625 (pow.f64 x 3))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(*.f64 9/625 x)
(*.f64 9/625 x)
(*.f64 9/625 x)
(*.f64 9/625 x)
(*.f64 9/625 x)
(*.f64 9/625 x)
(*.f64 9/625 x)
(*.f64 9/625 x)
(*.f64 9/625 x)
(*.f64 9/625 x)
(*.f64 9/625 x)
(*.f64 9/625 x)

Outputs
(*.f64 253/1000 x)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 x 3/25))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 x 3/25))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(*.f64 64009/1000000 x)
(*.f64 x 64009/1000000)
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(*.f64 -9/625 (pow.f64 x 3))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(*.f64 -9/625 (pow.f64 x 3))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(*.f64 9/625 x)
(*.f64 x 9/625)
(*.f64 9/625 x)
(*.f64 x 9/625)
(*.f64 9/625 x)
(*.f64 x 9/625)
(*.f64 9/625 x)
(*.f64 x 9/625)
(*.f64 9/625 x)
(*.f64 x 9/625)
(*.f64 9/625 x)
(*.f64 x 9/625)
(*.f64 9/625 x)
(*.f64 x 9/625)
(*.f64 9/625 x)
(*.f64 x 9/625)
(*.f64 9/625 x)
(*.f64 x 9/625)
(*.f64 9/625 x)
(*.f64 x 9/625)
(*.f64 9/625 x)
(*.f64 x 9/625)
(*.f64 9/625 x)
(*.f64 x 9/625)

eval666.0ms (8.4%)

Compiler: Compiled 14390 to 11125 computations (22.7% saved)

prune130.0ms (1.6%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	503	2	505
Fresh	1	2	3
Picked	0	1	1
Done	1	7	8
Total	505	12	517

Error

Counts

517 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.3b	(-.f64 1 (.f64 3/25 (.f64 x x)))
▶	0.1b	(-.f64 1 (fma.f64 (.f64 x x) 3/25 (.f64 x 253/1000)))
✓	43.4b	(.f64 -3/25 (.f64 x x))
✓	0.1b	(-.f64 1 (+.f64 (.f64 3/25 (.f64 x x)) (*.f64 x 253/1000)))
▶	0.1b	(-.f64 1 (pow.f64 (/.f64 1 (.f64 (+.f64 253/1000 (.f64 3/25 x)) x)) -1))
	20.5b	1
▶	0.1b	(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x 9/625)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))
✓	43.4b	(.f64 x (.f64 -3/25 x))
✓	19.5b	(-.f64 1 (*.f64 x 253/1000))
✓	0.1b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
✓	7.1b	(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 x (.f64 x 9/625))) x) (+.f64 253/1000 (.f64 -3/25 x))))
✓	0.1b	(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 9/625 (.f64 x x)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))

Compiler

Compiled 129 to 100 computations (22.5% saved)

localize54.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (.f64 x (.f64 x 9/625)) 64009/1000000) (-.f64 (*.f64 x 3/25) 253/1000))
✓	0.2b	(.f64 x (.f64 x 9/625))
	0.2b	(*.f64 x 9/625)
	0.3b	(*.f64 x 3/25)

Compiler

Compiled 75 to 56 computations (25.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 x (.f64 x 9/625))
0.0ms	x	@	inf	(.f64 x (.f64 x 9/625))
0.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 x (.f64 x 9/625)) 64009/1000000) (-.f64 (*.f64 x 3/25) 253/1000))
0.0ms	x	@	-inf	(.f64 x (.f64 x 9/625))
0.0ms	x	@	inf	(/.f64 (-.f64 (.f64 x (.f64 x 9/625)) 64009/1000000) (-.f64 (*.f64 x 3/25) 253/1000))

rewrite152.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`log-prod_binary64`
331×	`fma-def_binary64`
326×	`pow2_binary64`
316×	`prod-diff_binary64`
247×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	276	12
2	3641	12

Stop Event

1×	node limit

Counts

2 → 214

Calls

Call 1

Inputs
(.f64 x (.f64 x 9/625))
(/.f64 (-.f64 (.f64 x (.f64 x 9/625)) 64009/1000000) (-.f64 (*.f64 x 3/25) 253/1000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 9/625))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 9/625)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 9/625)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 9/625)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 9/625)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 9/625)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3/25) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/390625) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/25)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/244140625) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/390625))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 9/625)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/244140625))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 9/625))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 9/625))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 3/25))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.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 (fma.f64 x 3/25 253/1000) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 64009/1000000 (fma.f64 x 3/25 -253/1000)))) (sqrt.f64 (/.f64 64009/1000000 (fma.f64 x 3/25 -253/1000))) (/.f64 64009/1000000 (fma.f64 x 3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x (*.f64 x 9/625)) (fma.f64 x 3/25 -253/1000)) (neg.f64 (/.f64 64009/1000000 (fma.f64 x 3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 3/25 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 x (*.f64 x 9/625)) (/.f64 1 (fma.f64 x 3/25 -253/1000)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000))) 64009/1000000 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 (*.f64 x (*.f64 x 9/625)) (fma.f64 x 3/25 -253/1000)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000))) 64009/1000000 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x (*.f64 x 9/625)) (fma.f64 x 3/25 -253/1000))) 2) (cbrt.f64 (/.f64 (*.f64 x (*.f64 x 9/625)) (fma.f64 x 3/25 -253/1000))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000))) 64009/1000000 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 x (*.f64 x 9/625)) (fma.f64 x 3/25 -253/1000))) (sqrt.f64 (/.f64 (*.f64 x (*.f64 x 9/625)) (fma.f64 x 3/25 -253/1000))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000))) 64009/1000000 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 x 1) (/.f64 (*.f64 x 9/625) (fma.f64 x 3/25 -253/1000)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000))) 64009/1000000 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (*.f64 x 9/625) 1) (/.f64 x (fma.f64 x 3/25 -253/1000)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000))) 64009/1000000 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (*.f64 x x) 1) (/.f64 9/625 (fma.f64 x 3/25 -253/1000)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 3/25 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simplify178.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1101×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
528×	`pow-sqr_binary64`
508×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	156
1	18	138
2	31	138
3	57	138
4	131	138
5	390	138
6	1441	138
7	2331	138
8	2495	138
9	2709	138
10	2929	138
11	3233	138
12	3637	138
13	4128	138
14	4694	138
15	5376	138
16	6211	138
17	6605	138
18	6891	138
19	7167	138
20	7239	138
21	7273	138

Stop Event

1×	node limit

Counts

238 → 220

Calls

Call 1

Inputs
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
253/1000
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 3/25 x))
(*.f64 3/25 x)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 3/25 x))
(*.f64 3/25 x)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 3/25 x))

Outputs
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
253/1000
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 x 3/25))
(fma.f64 x 3/25 253/1000)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 x 3/25))
(fma.f64 x 3/25 253/1000)
(+.f64 253/1000 (*.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)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 x 3/25))
(fma.f64 x 3/25 253/1000)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 x 3/25))
(fma.f64 x 3/25 253/1000)
(+.f64 253/1000 (*.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)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 x 3/25))
(fma.f64 x 3/25 253/1000)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 x 3/25))
(fma.f64 x 3/25 253/1000)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 x 3/25))
(fma.f64 x 3/25 253/1000)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 54 to 43 computations (20.4% saved)

series11.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(pow.f64 (/.f64 1 (.f64 (+.f64 253/1000 (.f64 3/25 x)) x)) -1)
1.0ms	x	@	-inf	(pow.f64 (/.f64 1 (.f64 (+.f64 253/1000 (.f64 3/25 x)) x)) -1)
1.0ms	x	@	0	(pow.f64 (/.f64 1 (.f64 (+.f64 253/1000 (.f64 3/25 x)) x)) -1)
1.0ms	x	@	inf	(/.f64 1 (.f64 (+.f64 253/1000 (.f64 3/25 x)) x))
0.0ms	x	@	-inf	(/.f64 1 (.f64 (+.f64 253/1000 (.f64 3/25 x)) x))

rewrite97.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

430×	`log-prod_binary64`
330×	`exp-prod_binary64`
290×	`prod-exp_binary64`
253×	`pow2_binary64`
252×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	234	31
2	2802	31

Stop Event

1×	node limit

Counts

4 → 213

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (fma.f64 3/25 x 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 253/1000 x) (.f64 (.f64 3/25 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 3/25 x) x) (.f64 253/1000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 253/1000) (.f64 x (.f64 3/25 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 3/25 x)) (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 3/25 x 253/1000))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 3/25 x 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 3/25 x 253/1000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 3/25 x 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 3/25 x 253/1000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (fma.f64 3/25 x 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (fma.f64 3/25 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 3/25 x 253/1000) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (fma.f64 3/25 x 253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (fma.f64 3/25 x 253/1000) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (fma.f64 3/25 x 253/1000))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 3/25 x 253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 3/25 x 253/1000))) 2) (cbrt.f64 (.f64 x (fma.f64 3/25 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (fma.f64 3/25 x 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 3/25 x 253/1000)) 2) (.f64 (cbrt.f64 (fma.f64 3/25 x 253/1000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 3/25 x 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 3/25 x 253/1000)) (.f64 (sqrt.f64 (fma.f64 3/25 x 253/1000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (fma.f64 3/25 x 253/1000))) (sqrt.f64 (.f64 x (fma.f64 3/25 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (fma.f64 3/25 x 253/1000))) -2) (cbrt.f64 (.f64 x (fma.f64 3/25 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (pow.f64 (cbrt.f64 (fma.f64 3/25 x 253/1000)) 2)) (cbrt.f64 (fma.f64 3/25 x 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (sqrt.f64 (fma.f64 3/25 x 253/1000))) (sqrt.f64 (fma.f64 3/25 x 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 3/25 x 253/1000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 3/25 x 253/1000) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 x) (fma.f64 3/25 x 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (/.f64 1 x) (fma.f64 3/25 x 253/1000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (fma.f64 3/25 x 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3/25 x 253/1000) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (fma.f64 3/25 x 253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (/.f64 1 x) (fma.f64 3/25 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 3/25 x 253/1000))) 2) (cbrt.f64 (/.f64 (/.f64 1 x) (fma.f64 3/25 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 3/25 x 253/1000) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 x (fma.f64 3/25 x 253/1000))) (pow.f64 (.f64 x (fma.f64 3/25 x 253/1000)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (fma.f64 3/25 x 253/1000))) -2) (cbrt.f64 (/.f64 (/.f64 1 x) (fma.f64 3/25 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 (pow.f64 x 3) 27/15625 16194277/1000000000) x) (fma.f64 (.f64 3/25 x) (fma.f64 3/25 x -253/1000) 64009/1000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) x) (+.f64 253/1000 (.f64 -3/25 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (fma.f64 (pow.f64 x 3) 27/15625 16194277/1000000000)) (fma.f64 (.f64 3/25 x) (fma.f64 3/25 x -253/1000) 64009/1000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625))) (+.f64 253/1000 (.f64 -3/25 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 3/25 x 253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 3/25 x 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 3/25 x 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 3/25 x 253/1000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 3/25 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 3/25 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 3/25 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 3/25 x 253/1000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (fma.f64 3/25 x 253/1000)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 -2 (log.f64 (.f64 x (fma.f64 3/25 x 253/1000)))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 3/25 x 253/1000)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (fma.f64 3/25 x 253/1000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (fma.f64 3/25 x 253/1000))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (fma.f64 3/25 x 253/1000))) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (.f64 x (fma.f64 3/25 x 253/1000)))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (.f64 x (fma.f64 3/25 x 253/1000)))) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 (log.f64 x) 1) (neg.f64 (log.f64 (fma.f64 3/25 x 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 (.f64 x (fma.f64 3/25 x 253/1000)))) -1/2) (.f64 -1/2 (log.f64 (.f64 x (fma.f64 3/25 x 253/1000))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (.f64 (log.f64 (.f64 x (fma.f64 3/25 x 253/1000))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (.f64 (neg.f64 (log.f64 (.f64 x (fma.f64 3/25 x 253/1000)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (fma.f64 3/25 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 (fma.f64 3/25 x 253/1000)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (fma.f64 3/25 x 253/1000)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 3/25 x 253/1000)) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 3/25 x 253/1000)) (.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 3/25 x 253/1000)) 1) (.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 (.f64 x (fma.f64 3/25 x 253/1000)))) -1/2) (log.f64 (sqrt.f64 (.f64 x (fma.f64 3/25 x 253/1000))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 x (fma.f64 3/25 x 253/1000)))) (.f64 (neg.f64 (log.f64 (.f64 x (fma.f64 3/25 x 253/1000)))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 (.f64 x (fma.f64 3/25 x 253/1000)))) -1/2) (.f64 (neg.f64 (log.f64 (.f64 x (fma.f64 3/25 x 253/1000)))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 253/1000 x (.f64 (.f64 3/25 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 253/1000 (.f64 x (.f64 3/25 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 3/25 x) (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3/25 x) x (*.f64 253/1000 x))))))
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simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

612×	`associate-l_binary64`
591×	`times-frac_binary64`
577×	`fma-def_binary64`
480×	`associate-r_binary64`
368×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	442
1	122	438
2	274	420
3	672	381
4	2021	381

Stop Event

1×	node limit

Counts

249 → 178

Calls

Call 1

Inputs
(*.f64 253/1000 x)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(/.f64 1000/253 x)
(-.f64 (*.f64 1000/253 (/.f64 1 x)) 120000/64009)
(-.f64 (+.f64 (.f64 1000/253 (/.f64 1 x)) (.f64 14400000/16194277 x)) 120000/64009)
(-.f64 (+.f64 (.f64 -1728000000/4097152081 (pow.f64 x 2)) (+.f64 (.f64 1000/253 (/.f64 1 x)) (*.f64 14400000/16194277 x))) 120000/64009)
(/.f64 25/3 (pow.f64 x 2))
(-.f64 (.f64 25/3 (/.f64 1 (pow.f64 x 2))) (.f64 1265/72 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 25/3 (/.f64 1 (pow.f64 x 2))) (.f64 64009/1728 (/.f64 1 (pow.f64 x 4)))) (*.f64 1265/72 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 25/3 (/.f64 1 (pow.f64 x 2))) (.f64 64009/1728 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 16194277/207360 (/.f64 1 (pow.f64 x 5))) (.f64 1265/72 (/.f64 1 (pow.f64 x 3)))))
(/.f64 25/3 (pow.f64 x 2))
(-.f64 (.f64 25/3 (/.f64 1 (pow.f64 x 2))) (.f64 1265/72 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 25/3 (/.f64 1 (pow.f64 x 2))) (.f64 64009/1728 (/.f64 1 (pow.f64 x 4)))) (*.f64 1265/72 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 25/3 (/.f64 1 (pow.f64 x 2))) (.f64 64009/1728 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 16194277/207360 (/.f64 1 (pow.f64 x 5))) (.f64 1265/72 (/.f64 1 (pow.f64 x 3)))))
(*.f64 253/1000 x)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))

Outputs
(*.f64 253/1000 x)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 253/1000 x (.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 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 253/1000 x (.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 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 253/1000 x (.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 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 x 3/25))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 253/1000 x (.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 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 253/1000 x (.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 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 253/1000 x (.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 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 x 3/25))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 253/1000 x (.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 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 253/1000 x (.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 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 253/1000 x (.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 1000/253 x)
(-.f64 (*.f64 1000/253 (/.f64 1 x)) 120000/64009)
(+.f64 (/.f64 1000/253 x) -120000/64009)
(-.f64 (+.f64 (.f64 1000/253 (/.f64 1 x)) (.f64 14400000/16194277 x)) 120000/64009)
(+.f64 (/.f64 1000/253 x) (-.f64 (*.f64 x 14400000/16194277) 120000/64009))
(+.f64 (/.f64 1000/253 x) (fma.f64 x 14400000/16194277 -120000/64009))
(-.f64 (fma.f64 x 14400000/16194277 -120000/64009) (/.f64 -1000/253 x))
(-.f64 (+.f64 (.f64 -1728000000/4097152081 (pow.f64 x 2)) (+.f64 (.f64 1000/253 (/.f64 1 x)) (*.f64 14400000/16194277 x))) 120000/64009)
(+.f64 (fma.f64 -1728000000/4097152081 (.f64 x x) (+.f64 (/.f64 1000/253 x) (.f64 x 14400000/16194277))) -120000/64009)
(+.f64 (fma.f64 (*.f64 x x) -1728000000/4097152081 (/.f64 1000/253 x)) (fma.f64 x 14400000/16194277 -120000/64009))
(+.f64 (fma.f64 x 14400000/16194277 (/.f64 1000/253 x)) (fma.f64 x (*.f64 x -1728000000/4097152081) -120000/64009))
(+.f64 (/.f64 1000/253 x) (fma.f64 x (fma.f64 x -1728000000/4097152081 14400000/16194277) -120000/64009))
(/.f64 25/3 (pow.f64 x 2))
(/.f64 25/3 (*.f64 x x))
(-.f64 (.f64 25/3 (/.f64 1 (pow.f64 x 2))) (.f64 1265/72 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 25/3 (*.f64 x x)) (/.f64 1265/72 (pow.f64 x 3)))
(+.f64 (/.f64 25/3 (*.f64 x x)) (/.f64 -1265/72 (pow.f64 x 3)))
(-.f64 (/.f64 -1265/72 (pow.f64 x 3)) (/.f64 -25/3 (*.f64 x x)))
(-.f64 (+.f64 (.f64 25/3 (/.f64 1 (pow.f64 x 2))) (.f64 64009/1728 (/.f64 1 (pow.f64 x 4)))) (*.f64 1265/72 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 25/3 (*.f64 x x)) (-.f64 (/.f64 64009/1728 (pow.f64 x 4)) (/.f64 1265/72 (pow.f64 x 3))))
(+.f64 (/.f64 25/3 (*.f64 x x)) (+.f64 (/.f64 64009/1728 (pow.f64 x 4)) (/.f64 -1265/72 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 25/3 (*.f64 x x)) (/.f64 -1265/72 (pow.f64 x 3))) (/.f64 64009/1728 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 25/3 (/.f64 1 (pow.f64 x 2))) (.f64 64009/1728 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 16194277/207360 (/.f64 1 (pow.f64 x 5))) (.f64 1265/72 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 25/3 (*.f64 x x)) (-.f64 (/.f64 64009/1728 (pow.f64 x 4)) (+.f64 (/.f64 1265/72 (pow.f64 x 3)) (/.f64 16194277/207360 (pow.f64 x 5)))))
(+.f64 (/.f64 25/3 (*.f64 x x)) (+.f64 (+.f64 (/.f64 64009/1728 (pow.f64 x 4)) (/.f64 -16194277/207360 (pow.f64 x 5))) (/.f64 -1265/72 (pow.f64 x 3))))
(+.f64 (/.f64 64009/1728 (pow.f64 x 4)) (-.f64 (/.f64 25/3 (*.f64 x x)) (+.f64 (/.f64 1265/72 (pow.f64 x 3)) (/.f64 16194277/207360 (pow.f64 x 5)))))
(+.f64 (/.f64 25/3 (*.f64 x x)) (-.f64 (-.f64 (/.f64 64009/1728 (pow.f64 x 4)) (/.f64 1265/72 (pow.f64 x 3))) (/.f64 16194277/207360 (pow.f64 x 5))))
(/.f64 25/3 (pow.f64 x 2))
(/.f64 25/3 (*.f64 x x))
(-.f64 (.f64 25/3 (/.f64 1 (pow.f64 x 2))) (.f64 1265/72 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 25/3 (*.f64 x x)) (/.f64 1265/72 (pow.f64 x 3)))
(+.f64 (/.f64 25/3 (*.f64 x x)) (/.f64 -1265/72 (pow.f64 x 3)))
(-.f64 (/.f64 -1265/72 (pow.f64 x 3)) (/.f64 -25/3 (*.f64 x x)))
(-.f64 (+.f64 (.f64 25/3 (/.f64 1 (pow.f64 x 2))) (.f64 64009/1728 (/.f64 1 (pow.f64 x 4)))) (*.f64 1265/72 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 25/3 (*.f64 x x)) (-.f64 (/.f64 64009/1728 (pow.f64 x 4)) (/.f64 1265/72 (pow.f64 x 3))))
(+.f64 (/.f64 25/3 (*.f64 x x)) (+.f64 (/.f64 64009/1728 (pow.f64 x 4)) (/.f64 -1265/72 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 25/3 (*.f64 x x)) (/.f64 -1265/72 (pow.f64 x 3))) (/.f64 64009/1728 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 25/3 (/.f64 1 (pow.f64 x 2))) (.f64 64009/1728 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 16194277/207360 (/.f64 1 (pow.f64 x 5))) (.f64 1265/72 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 25/3 (*.f64 x x)) (-.f64 (/.f64 64009/1728 (pow.f64 x 4)) (+.f64 (/.f64 1265/72 (pow.f64 x 3)) (/.f64 16194277/207360 (pow.f64 x 5)))))
(+.f64 (/.f64 25/3 (*.f64 x x)) (+.f64 (+.f64 (/.f64 64009/1728 (pow.f64 x 4)) (/.f64 -16194277/207360 (pow.f64 x 5))) (/.f64 -1265/72 (pow.f64 x 3))))
(+.f64 (/.f64 64009/1728 (pow.f64 x 4)) (-.f64 (/.f64 25/3 (*.f64 x x)) (+.f64 (/.f64 1265/72 (pow.f64 x 3)) (/.f64 16194277/207360 (pow.f64 x 5)))))
(+.f64 (/.f64 25/3 (*.f64 x x)) (-.f64 (-.f64 (/.f64 64009/1728 (pow.f64 x 4)) (/.f64 1265/72 (pow.f64 x 3))) (/.f64 16194277/207360 (pow.f64 x 5))))
(*.f64 253/1000 x)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 253/1000 x (.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 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 253/1000 x (.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 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 253/1000 x (.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 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 x 3/25))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 253/1000 x (.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 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 253/1000 x (.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 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 253/1000 x (.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 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 x 3/25))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 253/1000 x (.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 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 253/1000 x (.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 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 253/1000 x (.f64 x (.f64 x 3/25)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))

localize24.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 17 computations (41.4% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite66.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`pow1_binary64`
561×	`add-log-exp_binary64`
561×	`log1p-expm1-u_binary64`
561×	`expm1-log1p-u_binary64`
550×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	142	11
2	1551	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify198.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
559×	`fabs-mul_binary64`
529×	`associate-l_binary64`
528×	`pow-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	117
1	18	117
2	32	108
3	68	90
4	168	90
5	480	90
6	1702	90
7	2955	90
8	3159	90
9	3372	90
10	3592	90
11	3905	90
12	4307	90
13	4820	90
14	5388	90
15	6070	90
16	6905	90
17	7299	90
18	7587	90
19	7863	90
20	7939	90
21	7975	90

Stop Event

1×	node limit

Counts

33 → 26

Calls

Call 1

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

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

eval393.0ms (4.9%)

Compiler: Compiled 13325 to 10773 computations (19.2% saved)

prune67.0ms (0.8%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	466	1	467
Fresh	0	1	1
Picked	0	1	1
Done	1	9	10
Total	467	12	479

Error

Counts

479 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.3b	(-.f64 1 (.f64 3/25 (.f64 x x)))
✓	0.1b	(-.f64 1 (fma.f64 (.f64 x x) 3/25 (.f64 x 253/1000)))
✓	43.4b	(.f64 -3/25 (.f64 x x))
✓	0.1b	(-.f64 1 (+.f64 (.f64 3/25 (.f64 x x)) (*.f64 x 253/1000)))
	1.4b	(-.f64 1 (pow.f64 (/.f64 25/3 (*.f64 x x)) -1))
✓	0.1b	(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 9/625 (.f64 x x)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))
✓	0.1b	(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x 9/625)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))
✓	43.4b	(.f64 x (.f64 -3/25 x))
✓	19.5b	(-.f64 1 (*.f64 x 253/1000))
✓	0.1b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
✓	7.1b	(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 x (.f64 x 9/625))) x) (+.f64 253/1000 (.f64 -3/25 x))))
	20.5b	1

Compiler

Compiled 125 to 96 computations (23.2% saved)

regimes59.0ms (0.7%)

Counts

21 → 1

Calls

Call 1

Inputs
1
(.f64 x (.f64 -3/25 x))
(.f64 -3/25 (.f64 x x))
(-.f64 1 (*.f64 x 253/1000))
(-.f64 1 (.f64 3/25 (.f64 x x)))
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
(-.f64 1 (+.f64 (.f64 3/25 (.f64 x x)) (*.f64 x 253/1000)))
(-.f64 1 (+.f64 (.f64 x (.f64 x 3/25)) (*.f64 x 253/1000)))
(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x 9/625)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))
(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 x (.f64 x 9/625))) x) (+.f64 253/1000 (.f64 -3/25 x))))
(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 9/625 (.f64 x x))) x) (+.f64 253/1000 (.f64 -3/25 x))))
(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 9/625 (.f64 x x)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))
(-.f64 1 (/.f64 (-.f64 (.f64 (.f64 x 253/1000) (.f64 x 253/1000)) (.f64 (.f64 x (.f64 x 3/25)) (.f64 x (.f64 x 3/25)))) (-.f64 (.f64 x 253/1000) (.f64 x (*.f64 x 3/25)))))
(-.f64 1 (pow.f64 (/.f64 25/3 (*.f64 x x)) -1))
(-.f64 1 (fma.f64 (.f64 x x) 3/25 (.f64 x 253/1000)))
(-.f64 1 (pow.f64 (/.f64 1 (.f64 (+.f64 253/1000 (.f64 3/25 x)) x)) -1))
(-.f64 1 (/.f64 (.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) x) (+.f64 64009/1000000 (-.f64 (.f64 9/625 (.f64 x x)) (*.f64 759/25000 x)))))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(pow.f64 (cbrt.f64 (.f64 -3/25 (.f64 x x))) 3)
(-.f64 1 (.f64 x (+.f64 253/1000 (pow.f64 (cbrt.f64 (.f64 x 3/25)) 3))))
(-.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x 253/1000) 3) (pow.f64 (.f64 x (.f64 x 3/25)) 3)) (+.f64 (.f64 (.f64 x 253/1000) (.f64 x 253/1000)) (-.f64 (.f64 (.f64 x (.f64 x 3/25)) (.f64 x (.f64 x 3/25))) (.f64 (.f64 x 253/1000) (.f64 x (*.f64 x 3/25)))))))

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

Calls

5 calls:

12.0ms	x
12.0ms	(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
10.0ms	(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
8.0ms	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
8.0ms	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))`
0.1b	1	`(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))`
0.1b	1	`(.f64 x (+.f64 253/1000 (.f64 x 3/25)))`
0.1b	1	`(.f64 x (+.f64 253/1000 (.f64 x 3/25)))`

Compiler

Compiled 319 to 232 computations (27.3% saved)

regimes51.0ms (0.6%)

Counts

17 → 1

Calls

Call 1

Inputs
1
(.f64 x (.f64 -3/25 x))
(.f64 -3/25 (.f64 x x))
(-.f64 1 (*.f64 x 253/1000))
(-.f64 1 (.f64 3/25 (.f64 x x)))
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
(-.f64 1 (+.f64 (.f64 3/25 (.f64 x x)) (*.f64 x 253/1000)))
(-.f64 1 (+.f64 (.f64 x (.f64 x 3/25)) (*.f64 x 253/1000)))
(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x 9/625)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))
(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 x (.f64 x 9/625))) x) (+.f64 253/1000 (.f64 -3/25 x))))
(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 9/625 (.f64 x x))) x) (+.f64 253/1000 (.f64 -3/25 x))))
(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 9/625 (.f64 x x)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))
(-.f64 1 (/.f64 (-.f64 (.f64 (.f64 x 253/1000) (.f64 x 253/1000)) (.f64 (.f64 x (.f64 x 3/25)) (.f64 x (.f64 x 3/25)))) (-.f64 (.f64 x 253/1000) (.f64 x (*.f64 x 3/25)))))
(-.f64 1 (pow.f64 (/.f64 25/3 (*.f64 x x)) -1))
(-.f64 1 (fma.f64 (.f64 x x) 3/25 (.f64 x 253/1000)))
(-.f64 1 (pow.f64 (/.f64 1 (.f64 (+.f64 253/1000 (.f64 3/25 x)) x)) -1))
(-.f64 1 (/.f64 (.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) x) (+.f64 64009/1000000 (-.f64 (.f64 9/625 (.f64 x x)) (*.f64 759/25000 x)))))

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

Calls

5 calls:

10.0ms	(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
10.0ms	x
9.0ms	(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
8.0ms	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
7.0ms	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))`
0.1b	1	`(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))`
0.1b	1	`(.f64 x (+.f64 253/1000 (.f64 x 3/25)))`
0.1b	1	`(.f64 x (+.f64 253/1000 (.f64 x 3/25)))`

Compiler

Compiled 247 to 179 computations (27.5% saved)

regimes18.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
5.0ms	(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
4.0ms	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))`
0.1b	1	`(.f64 x (+.f64 253/1000 (.f64 x 3/25)))`

Compiler

Compiled 53 to 38 computations (28.3% saved)

regimes6.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(-.f64 1 (.f64 3/25 (.f64 x x)))

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
1.3b	1	`x`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes14.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch33.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	7.135383061402566e-9	3218786421.741872
17.0ms	-861073.7899806314	-0.004832501210620038

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes12.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
1
(.f64 x (.f64 -3/25 x))
(.f64 -3/25 (.f64 x x))

Outputs
(.f64 -3/25 (.f64 x x))
1
(.f64 x (.f64 -3/25 x))

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
1.3b	3	`x`

Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch34.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	7.135383061402566e-9	3218786421.741872
17.0ms	-861073.7899806314	-0.004832501210620038

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes11.0ms (0.1%)

Accuracy

Total -61.3b remaining (-4638.5%)

Threshold costs -61.3b (-4638.5%)

Counts

2 → 3

Calls

Call 1

Inputs
1
(.f64 x (.f64 -3/25 x))

Outputs
(.f64 x (.f64 -3/25 x))
1
(.f64 x (.f64 -3/25 x))

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
1.3b	3	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch33.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	7.135383061402566e-9	3218786421.741872
17.0ms	-861073.7899806314	-0.004832501210620038

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
15×	`+-commutative_binary64`
13×	`sub-neg_binary64`
10×	`distribute-rgt-neg-in_binary64`
10×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	136
1	59	136
2	92	136
3	113	136
4	129	136
5	137	136
6	144	136
7	146	136
8	147	136

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(-.f64 1 (+.f64 (.f64 3/25 (.f64 x x)) (*.f64 x 253/1000)))
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
(-.f64 1 (.f64 3/25 (.f64 x x)))
(if (<=.f64 x -7396567534819169/8589934592) (.f64 -3/25 (.f64 x x)) (if (<=.f64 x 8626148815770439/1208925819614629174706176) (-.f64 1 (.f64 x 253/1000)) (.f64 x (*.f64 -3/25 x))))
(if (<=.f64 x -7396567534819169/8589934592) (.f64 -3/25 (.f64 x x)) (if (<=.f64 x 8626148815770439/1208925819614629174706176) 1 (.f64 x (.f64 -3/25 x))))
(if (<=.f64 x -7396567534819169/8589934592) (.f64 x (.f64 -3/25 x)) (if (<=.f64 x 8626148815770439/1208925819614629174706176) 1 (.f64 x (.f64 -3/25 x))))
1

Outputs
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(-.f64 1 (+.f64 (.f64 3/25 (.f64 x x)) (*.f64 x 253/1000)))
(+.f64 1 (-.f64 (.f64 -3/25 (.f64 x x)) (*.f64 x 253/1000)))
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
(-.f64 1 (.f64 3/25 (.f64 x x)))
(+.f64 1 (.f64 -3/25 (.f64 x x)))
(if (<=.f64 x -7396567534819169/8589934592) (.f64 -3/25 (.f64 x x)) (if (<=.f64 x 8626148815770439/1208925819614629174706176) (-.f64 1 (.f64 x 253/1000)) (.f64 x (*.f64 -3/25 x))))
(if (<=.f64 x -7396567534819169/8589934592) (.f64 -3/25 (.f64 x x)) (if (<=.f64 x 8626148815770439/1208925819614629174706176) (-.f64 1 (.f64 x 253/1000)) (.f64 x (*.f64 x -3/25))))
(if (<=.f64 x -7396567534819169/8589934592) (.f64 -3/25 (.f64 x x)) (if (<=.f64 x 8626148815770439/1208925819614629174706176) 1 (.f64 x (.f64 -3/25 x))))
(if (<=.f64 x -7396567534819169/8589934592) (.f64 -3/25 (.f64 x x)) (if (<=.f64 x 8626148815770439/1208925819614629174706176) 1 (.f64 x (.f64 x -3/25))))
(if (<=.f64 x -7396567534819169/8589934592) (.f64 x (.f64 -3/25 x)) (if (<=.f64 x 8626148815770439/1208925819614629174706176) 1 (.f64 x (.f64 -3/25 x))))
(if (<=.f64 x -7396567534819169/8589934592) (.f64 x (.f64 x -3/25)) (if (<=.f64 x 8626148815770439/1208925819614629174706176) 1 (.f64 x (.f64 x -3/25))))
1

Compiler

Compiled 104 to 76 computations (26.9% saved)

soundness65.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

271×	`fma-def_binary64`
258×	`fma-neg_binary64`
80×	`cancel-sign-sub-inv_binary64`
54×	`sub-neg_binary64`
30×	`associate--r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	25	11
2	68	11
3	150	11
4	292	9
5	487	9
6	726	9
7	1058	9
8	1175	9
9	1194	9

Stop Event

1×

saturated

Compiler

Compiled 124 to 100 computations (19.4% saved)

end64.0ms (0.8%)

Compiler: Compiled 97 to 66 computations (32% saved)

Iter	Nodes	Cost
0	33	136
1	59	136
2	92	136
3	113	136
4	129	136
5	137	136
6	144	136
7	146	136
8	147	136

Iter	Nodes	Cost
0	33	136
1	59	136
2	92	136
3	113	136
4	129	136
5	137	136
6	144	136
7	146	136
8	147	136

Iter	Nodes	Cost
0	33	136
1	59	136
2	92	136
3	113	136
4	129	136
5	137	136
6	144	136
7	146	136
8	147	136