Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.3s (19.7%)

Results

1.3s	8256×	body	256	valid
0.0ms	6×	body	256	invalid

preprocess45.0ms (0.7%)

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)

simplify29.0ms (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)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 8 computations (20% saved)

localize11.0ms (0.2%)

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)))
✓	0.2b	(*.f64 x 3/25)

Compiler

Compiled 29 to 22 computations (24.1% saved)

series4.0ms (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)

rewrite62.0ms (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)))))

simplify188.0ms (2.9%)

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)

eval24.0ms (0.4%)

Compiler: Compiled 1031 to 801 computations (22.3% saved)

prune30.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	69	7	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	8	77

Error

0.0b

Counts

77 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.4b	(-.f64 1 (.f64 3/25 (.f64 x x)))
✓	0.1b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
	10.8b	(-.f64 1 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 3/25 253/1000)) 3)))
▶	0.1b	(-.f64 1 (.f64 x (/.f64 1 (/.f64 (+.f64 253/1000 (.f64 -3/25 x)) (-.f64 64009/1000000 (.f64 9/625 (.f64 x x)))))))
▶	15.5b	(-.f64 1 (*.f64 x 253/1000))
▶	0.1b	(-.f64 1 (+.f64 (.f64 x (.f64 x 3/25)) (*.f64 x 253/1000)))
	6.1b	(-.f64 1 (.f64 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))))))
▶	6.1b	(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 9/625 (.f64 x x))) x) (+.f64 253/1000 (.f64 -3/25 x))))

Compiler

Compiled 210 to 166 computations (21% saved)

localize15.0ms (0.2%)

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)
✓	0.2b	(.f64 x (.f64 x 3/25))
	0.2b	(*.f64 x 3/25)

Compiler

Compiled 36 to 25 computations (30.6% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite62.0ms (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)))))))

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)))))))

simplify176.0ms (2.7%)

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))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (*.f64 x 253/1000))
	0.1b	(*.f64 x 253/1000)

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 1 (*.f64 x 253/1000))
0.0ms	x	@	inf	(-.f64 1 (*.f64 x 253/1000))
0.0ms	x	@	-inf	(-.f64 1 (*.f64 x 253/1000))

rewrite48.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`pow1_binary64`
566×	`add-log-exp_binary64`
566×	`log1p-expm1-u_binary64`
566×	`expm1-log1p-u_binary64`
557×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1521	7

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	72
1	10	54
2	12	54

Stop Event

1×

saturated

Counts

40 → 32

Calls

Call 1

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

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

localize9.0ms (0.1%)

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
0.0ms	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))

rewrite49.0ms (0.8%)

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))))))))

simplify170.0ms (2.6%)

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))

localize158.0ms (2.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 9/625 (.f64 x x))
✓	0.2b	(*.f64 -3/25 x)
✓	0.4b	(.f64 (-.f64 64009/1000000 (.f64 9/625 (*.f64 x x))) x)
✓	5.8b	(/.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)

series7.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
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)))
0.0ms	x	@	inf	(.f64 (-.f64 64009/1000000 (.f64 9/625 (*.f64 x x))) x)
0.0ms	x	@	inf	(.f64 9/625 (.f64 x x))

rewrite123.0ms (1.9%)

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 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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 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((#(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))))))

simplify252.0ms (3.9%)

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))

localize56.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (/.f64 1 (/.f64 (+.f64 253/1000 (.f64 -3/25 x)) (-.f64 64009/1000000 (.f64 9/625 (.f64 x x))))))
	0.2b	(.f64 9/625 (.f64 x x))
	0.2b	(*.f64 -3/25 x)
✓	0.8b	(/.f64 (+.f64 253/1000 (.f64 -3/25 x)) (-.f64 64009/1000000 (.f64 9/625 (*.f64 x x))))

Compiler

Compiled 94 to 65 computations (30.9% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (+.f64 253/1000 (.f64 -3/25 x)) (-.f64 64009/1000000 (.f64 9/625 (*.f64 x x))))
0.0ms	x	@	-inf	(/.f64 (+.f64 253/1000 (.f64 -3/25 x)) (-.f64 64009/1000000 (.f64 9/625 (*.f64 x x))))
0.0ms	x	@	0	(/.f64 (+.f64 253/1000 (.f64 -3/25 x)) (-.f64 64009/1000000 (.f64 9/625 (*.f64 x x))))
0.0ms	x	@	0	(.f64 x (/.f64 1 (/.f64 (+.f64 253/1000 (.f64 -3/25 x)) (-.f64 64009/1000000 (.f64 9/625 (.f64 x x))))))
0.0ms	x	@	inf	(.f64 x (/.f64 1 (/.f64 (+.f64 253/1000 (.f64 -3/25 x)) (-.f64 64009/1000000 (.f64 9/625 (.f64 x x))))))

rewrite222.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`log-prod_binary64`
455×	`prod-diff_binary64`
261×	`fma-def_binary64`
245×	`expm1-udef_binary64`
245×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	339	16
2	4600	16

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

Inputs
(/.f64 (+.f64 253/1000 (.f64 -3/25 x)) (-.f64 64009/1000000 (.f64 9/625 (*.f64 x x))))
(.f64 x (/.f64 1 (/.f64 (+.f64 253/1000 (.f64 -3/25 x)) (-.f64 64009/1000000 (.f64 9/625 (.f64 x x))))))

Outputs

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

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

simplify83.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

783×	`fma-def_binary64`
774×	`distribute-neg-frac_binary64`
417×	`times-frac_binary64`
376×	`distribute-rgt-neg-in_binary64`
351×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	294
1	112	294
2	265	285
3	694	261
4	2083	258
5	6010	258

Stop Event

1×	node limit

Counts

93 → 89

Calls

Call 1

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

eval528.0ms (8.1%)

Compiler: Compiled 6511 to 5013 computations (23% saved)

prune59.0ms (0.9%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	383	7	390
Fresh	2	0	2
Picked	0	1	1
Done	1	4	5
Total	386	12	398

Error

Counts

398 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.1b	(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 x (.f64 x 9/625))) x) (+.f64 253/1000 (.f64 -3/25 x))))
✓	15.5b	(-.f64 1 (*.f64 x 253/1000))
✓	1.4b	(-.f64 1 (.f64 3/25 (.f64 x x)))
	1.5b	(-.f64 1 (pow.f64 (*.f64 x (sqrt.f64 3/25)) 2))
▶	7.0b	(-.f64 1 (/.f64 (.f64 -9/625 (pow.f64 x 3)) (+.f64 253/1000 (.f64 -3/25 x))))
✓	0.1b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
✓	0.1b	(-.f64 1 (.f64 x (/.f64 1 (/.f64 (+.f64 253/1000 (.f64 -3/25 x)) (-.f64 64009/1000000 (.f64 9/625 (.f64 x x)))))))
▶	1.5b	(-.f64 1 (*.f64 x (/.f64 1 (/.f64 25/3 x))))
✓	0.1b	(-.f64 1 (+.f64 (.f64 x (.f64 x 3/25)) (*.f64 x 253/1000)))
▶	61.7b	(*.f64 -253/1000 x)
▶	1.4b	(-.f64 1 (.f64 x (.f64 x 3/25)))
	16.0b	1

Compiler

Compiled 184 to 148 computations (19.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite45.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`pow1_binary64`
339×	`add-sqr-sqrt_binary64`
329×	`*-un-lft-identity_binary64`
322×	`add-log-exp_binary64`
322×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	80	4
2	875	4

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 -253/1000 x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 -253/1000 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -253/1000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) -253/2000)) (log.f64 (pow.f64 (exp.f64 x) -253/2000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -253/500))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -253/1000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -253/1000 x)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 -253/1000 x)) (+.f64 1 (*.f64 -253/1000 x))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 -253/1000 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -253/1000 x)) (+.f64 1 (*.f64 -253/1000 x))) 1) (+.f64 (+.f64 1 (*.f64 -253/1000 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -253/1000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -253/1000 x) 2) 1/2)))) (#(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 pow.f64 (cbrt.f64 (*.f64 -253/1000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -253/1000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 -253/1000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -253/1000 x)))) (sqrt.f64 (log.f64 (*.f64 -253/1000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -253/1000 x))) 2)) (cbrt.f64 (log.f64 (*.f64 -253/1000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -253/1000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 -253/1000 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -253/1000))))) (#(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 -253/1000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -253/1000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -253/1000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -253/1000 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -253/1000 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -253/1000 x))) 2))))))

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

25 → 25

Calls

Call 1

Inputs

Outputs

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (/.f64 1 (/.f64 25/3 x)))
✓	0.3b	(/.f64 1 (/.f64 25/3 x))
✓	0.4b	(/.f64 25/3 x)

Compiler

Compiled 28 to 21 computations (25% saved)

series8.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

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

rewrite112.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

679×	`pow1_binary64`
638×	`add-log-exp_binary64`
638×	`log1p-expm1-u_binary64`
638×	`expm1-log1p-u_binary64`
626×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	152	15
2	1851	15

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

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

Outputs

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

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

simplify176.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	132
1	14	132
2	23	132
3	42	132
4	102	132
5	321	132
6	1252	132
7	2126	132
8	2290	132
9	2474	132
10	2682	132
11	2978	132
12	3371	132
13	3852	132
14	4418	132
15	5106	132
16	5941	132
17	6333	132
18	6623	132
19	6895	132
20	6967	132
21	7003	132
22	7944	132

Stop Event

1×	node limit

Counts

94 → 72

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 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 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 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))

localize33.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x 9/625)
	0.2b	(*.f64 -3/25 x)
✓	0.4b	(.f64 (-.f64 64009/1000000 (.f64 x (*.f64 x 9/625))) x)
✓	5.8b	(/.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)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite83.0ms (1.3%)

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)) 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(+.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))))))

simplify189.0ms (2.9%)

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)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 253/1000 (*.f64 -3/25 x))
✓	0.1b	(*.f64 -9/625 (pow.f64 x 3))
	0.2b	(*.f64 -3/25 x)
✓	5.7b	(/.f64 (.f64 -9/625 (pow.f64 x 3)) (+.f64 253/1000 (.f64 -3/25 x)))

Compiler

Compiled 47 to 38 computations (19.1% saved)

series4.0ms (0.1%)

Counts

3 → 15

Calls

9 calls:

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

rewrite79.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`log-prod_binary64`
424×	`exp-prod_binary64`
293×	`pow2_binary64`
280×	`pow-prod-down_binary64`
205×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	249	26
2	3073	26

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9/625 (/.f64 (pow.f64 x 3) (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9/625 (/.f64 1 (*.f64 (fma.f64 x -3/25 253/1000) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9/625 (*.f64 (pow.f64 x 3) (/.f64 1 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (*.f64 -9/625 (/.f64 1 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -9/625 (pow.f64 x 3)) (/.f64 1 (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (cbrt.f64 -9/625)) (cbrt.f64 (fma.f64 x -3/25 253/1000))) (pow.f64 (/.f64 (*.f64 x (cbrt.f64 -9/625)) (cbrt.f64 (fma.f64 x -3/25 253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 x (cbrt.f64 -9/625)) (cbrt.f64 (fma.f64 x -3/25 253/1000))) 2) (/.f64 (*.f64 x (cbrt.f64 -9/625)) (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 -9/625)) 2) (*.f64 (*.f64 x (cbrt.f64 -9/625)) (/.f64 1 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3))) (sqrt.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 -9/625) (pow.f64 x 3/2)) (*.f64 (*.f64 (sqrt.f64 -9/625) (pow.f64 x 3/2)) (/.f64 1 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3) 9/625) (/.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 -9/625 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) 1) (/.f64 -9/625 (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 -9/625)) 2) 1) (/.f64 (*.f64 x (cbrt.f64 -9/625)) (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 -9/625) (pow.f64 x 3/2)) 1) (/.f64 (*.f64 (sqrt.f64 -9/625) (pow.f64 x 3/2)) (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -9/625 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) 2)) (/.f64 (pow.f64 x 3) (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) 2)) (/.f64 -9/625 (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) -2) (/.f64 (*.f64 -9/625 (pow.f64 x 3)) (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 -9/625)) 2) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) 2)) (/.f64 (*.f64 x (cbrt.f64 -9/625)) (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 -9/625) (pow.f64 x 3/2)) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) 2)) (/.f64 (*.f64 (sqrt.f64 -9/625) (pow.f64 x 3/2)) (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -9/625 (sqrt.f64 (fma.f64 x -3/25 253/1000))) (/.f64 (pow.f64 x 3) (sqrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 (fma.f64 x -3/25 253/1000))) (/.f64 -9/625 (sqrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x -3/25 253/1000) -1/2) (/.f64 (*.f64 -9/625 (pow.f64 x 3)) (sqrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 -9/625)) 2) (sqrt.f64 (fma.f64 x -3/25 253/1000))) (/.f64 (*.f64 x (cbrt.f64 -9/625)) (sqrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -9/625 (pow.f64 x 3)) (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 -9/625 (pow.f64 x 3)) (-.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 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (pow.f64 x 6) 81/390625) (pow.f64 (fma.f64 x -3/25 253/1000) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (cbrt.f64 -9/625)) (cbrt.f64 (fma.f64 x -3/25 253/1000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -625/9 (*.f64 (fma.f64 x -3/25 253/1000) (pow.f64 x -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 -9/625)) 9) (pow.f64 (fma.f64 x -3/25 253/1000) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -625/9 (*.f64 (fma.f64 x -3/25 253/1000) (pow.f64 x -3))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 -9/625 (pow.f64 x 3)) (neg.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (pow.f64 x 6) 81/390625) (pow.f64 (fma.f64 x -3/25 253/1000) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 -9/625)) 9) (pow.f64 (fma.f64 x -3/25 253/1000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (cbrt.f64 -9/625)) (cbrt.f64 (fma.f64 x -3/25 253/1000)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -625/9 (*.f64 (fma.f64 x -3/25 253/1000) (pow.f64 x -3)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -9/625 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -9/625) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -9/625) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -9/625) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -9/625) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -9/625 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -9/625 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 81/390625) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (cbrt.f64 -9/625)) 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -9/625)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -9/625) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 3 (log.f64 x) (log.f64 -9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -9/625))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -9/625))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -9/625)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -9/625))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 81/390625))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -9/625) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -9/625 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -9/625)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -9/625 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -9/625 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -9/625)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 -9/625)) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -9/625))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -9/625) (pow.f64 x 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -9/625)) 1) 1))))))

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

simplify70.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

625×	`associate-/l*_binary64`
492×	`unswap-sqr_binary64`
492×	`fma-def_binary64`
482×	`associate-/r/_binary64`
472×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	183
1	96	183
2	220	173
3	661	154
4	2509	154
5	4739	154
6	5187	154
7	6585	154

Stop Event

1×	node limit

Counts

148 → 151

Calls

Call 1

Inputs
(*.f64 -72/1265 (pow.f64 x 3))
(+.f64 (.f64 -1728/64009 (pow.f64 x 4)) (.f64 -72/1265 (pow.f64 x 3)))
(+.f64 (.f64 -1728/64009 (pow.f64 x 4)) (+.f64 (.f64 -72/1265 (pow.f64 x 3)) (*.f64 -207360/16194277 (pow.f64 x 5))))
(+.f64 (.f64 -1728/64009 (pow.f64 x 4)) (+.f64 (.f64 -72/1265 (pow.f64 x 3)) (+.f64 (.f64 -24883200/4097152081 (pow.f64 x 6)) (.f64 -207360/16194277 (pow.f64 x 5)))))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 64009/120000 (+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2))))
(+.f64 (.f64 16194277/14400000 (/.f64 1 x)) (+.f64 64009/120000 (+.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 64009/120000 (+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2))))
(+.f64 (.f64 16194277/14400000 (/.f64 1 x)) (+.f64 64009/120000 (+.f64 (.f64 253/1000 x) (*.f64 3/25 (pow.f64 x 2)))))
253/1000
(*.f64 -3/25 x)
(*.f64 -3/25 x)

Outputs
(*.f64 -72/1265 (pow.f64 x 3))
(+.f64 (.f64 -1728/64009 (pow.f64 x 4)) (.f64 -72/1265 (pow.f64 x 3)))
(fma.f64 -1728/64009 (pow.f64 x 4) (*.f64 -72/1265 (pow.f64 x 3)))
(fma.f64 -72/1265 (pow.f64 x 3) (*.f64 -1728/64009 (pow.f64 x 4)))
(.f64 (pow.f64 x 3) (+.f64 -72/1265 (.f64 x -1728/64009)))
(+.f64 (.f64 -1728/64009 (pow.f64 x 4)) (+.f64 (.f64 -72/1265 (pow.f64 x 3)) (*.f64 -207360/16194277 (pow.f64 x 5))))
(fma.f64 -1728/64009 (pow.f64 x 4) (fma.f64 -72/1265 (pow.f64 x 3) (*.f64 -207360/16194277 (pow.f64 x 5))))
(fma.f64 -72/1265 (pow.f64 x 3) (fma.f64 -207360/16194277 (pow.f64 x 5) (*.f64 -1728/64009 (pow.f64 x 4))))
(fma.f64 -207360/16194277 (pow.f64 x 5) (.f64 (pow.f64 x 3) (+.f64 -72/1265 (.f64 x -1728/64009))))
(+.f64 (.f64 -1728/64009 (pow.f64 x 4)) (+.f64 (.f64 -72/1265 (pow.f64 x 3)) (+.f64 (.f64 -24883200/4097152081 (pow.f64 x 6)) (.f64 -207360/16194277 (pow.f64 x 5)))))
(fma.f64 -1728/64009 (pow.f64 x 4) (fma.f64 -72/1265 (pow.f64 x 3) (fma.f64 -24883200/4097152081 (pow.f64 x 6) (*.f64 -207360/16194277 (pow.f64 x 5)))))
(fma.f64 -1728/64009 (pow.f64 x 4) (fma.f64 -72/1265 (pow.f64 x 3) (fma.f64 -207360/16194277 (pow.f64 x 5) (*.f64 -24883200/4097152081 (pow.f64 x 6)))))
(fma.f64 -72/1265 (pow.f64 x 3) (fma.f64 -1728/64009 (pow.f64 x 4) (fma.f64 -207360/16194277 (pow.f64 x 5) (*.f64 -24883200/4097152081 (pow.f64 x 6)))))
(fma.f64 -207360/16194277 (pow.f64 x 5) (.f64 (pow.f64 x 3) (+.f64 (.f64 x -1728/64009) (fma.f64 (pow.f64 x 3) -24883200/4097152081 -72/1265))))
(fma.f64 -207360/16194277 (pow.f64 x 5) (.f64 (pow.f64 x 3) (+.f64 (fma.f64 (pow.f64 x 3) -24883200/4097152081 -72/1265) (.f64 x -1728/64009))))
(*.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 x 253/1000 (.f64 x (.f64 x 3/25)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 64009/120000 (+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2))))
(+.f64 (fma.f64 253/1000 x (.f64 3/25 (.f64 x x))) 64009/120000)
(+.f64 (fma.f64 x 253/1000 (.f64 x (.f64 x 3/25))) 64009/120000)
(fma.f64 3/25 (*.f64 x x) (fma.f64 x 253/1000 64009/120000))
(fma.f64 x (fma.f64 x 3/25 253/1000) 64009/120000)
(+.f64 (.f64 16194277/14400000 (/.f64 1 x)) (+.f64 64009/120000 (+.f64 (.f64 253/1000 x) (*.f64 3/25 (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 16194277/14400000 x) 64009/120000) (fma.f64 253/1000 x (.f64 3/25 (.f64 x x))))
(+.f64 (fma.f64 x 253/1000 (.f64 x (.f64 x 3/25))) (+.f64 64009/120000 (/.f64 16194277/14400000 x)))
(+.f64 (fma.f64 3/25 (*.f64 x x) (fma.f64 x 253/1000 64009/120000)) (/.f64 16194277/14400000 x))
(+.f64 64009/120000 (fma.f64 x (fma.f64 x 3/25 253/1000) (/.f64 16194277/14400000 x)))
(+.f64 (fma.f64 x (fma.f64 x 3/25 253/1000) 64009/120000) (/.f64 16194277/14400000 x))
(*.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 x 253/1000 (.f64 x (.f64 x 3/25)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 64009/120000 (+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2))))
(+.f64 (fma.f64 253/1000 x (.f64 3/25 (.f64 x x))) 64009/120000)
(+.f64 (fma.f64 x 253/1000 (.f64 x (.f64 x 3/25))) 64009/120000)
(fma.f64 3/25 (*.f64 x x) (fma.f64 x 253/1000 64009/120000))
(fma.f64 x (fma.f64 x 3/25 253/1000) 64009/120000)
(+.f64 (.f64 16194277/14400000 (/.f64 1 x)) (+.f64 64009/120000 (+.f64 (.f64 253/1000 x) (*.f64 3/25 (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 16194277/14400000 x) 64009/120000) (fma.f64 253/1000 x (.f64 3/25 (.f64 x x))))
(+.f64 (fma.f64 x 253/1000 (.f64 x (.f64 x 3/25))) (+.f64 64009/120000 (/.f64 16194277/14400000 x)))
(+.f64 (fma.f64 3/25 (*.f64 x x) (fma.f64 x 253/1000 64009/120000)) (/.f64 16194277/14400000 x))
(+.f64 64009/120000 (fma.f64 x (fma.f64 x 3/25 253/1000) (/.f64 16194277/14400000 x)))
(+.f64 (fma.f64 x (fma.f64 x 3/25 253/1000) 64009/120000) (/.f64 16194277/14400000 x))
253/1000
(*.f64 -3/25 x)
(*.f64 x -3/25)
(*.f64 -3/25 x)
(*.f64 x -3/25)

eval250.0ms (3.8%)

Compiler: Compiled 6560 to 5268 computations (19.7% saved)

prune87.0ms (1.3%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	410	3	413
Fresh	1	1	2
Picked	1	0	1
Done	1	8	9
Total	413	12	425

Error

Counts

425 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	6.1b	(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 x (.f64 x 9/625))) x) (+.f64 253/1000 (.f64 -3/25 x))))
✓	15.5b	(-.f64 1 (*.f64 x 253/1000))
✓	1.4b	(-.f64 1 (.f64 3/25 (.f64 x x)))
✓	0.1b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
▶	1.5b	(-.f64 1 (/.f64 (*.f64 x 3/25) (/.f64 1 x)))
✓	0.1b	(-.f64 1 (+.f64 (.f64 x (.f64 x 3/25)) (*.f64 x 253/1000)))
▶	1.4b	(-.f64 1 (/.f64 x (/.f64 25/3 x)))
✓	1.4b	(-.f64 1 (.f64 x (.f64 x 3/25)))
✓	0.1b	(-.f64 1 (.f64 x (/.f64 1 (/.f64 (+.f64 253/1000 (.f64 -3/25 x)) (-.f64 64009/1000000 (.f64 9/625 (.f64 x x)))))))
▶	1.5b	(-.f64 1 (pow.f64 (*.f64 x (sqrt.f64 3/25)) 2))
✓	61.7b	(*.f64 -253/1000 x)
	16.0b	1

Compiler

Compiled 115 to 91 computations (20.9% saved)

localize18.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (/.f64 25/3 x))
	0.4b	(/.f64 25/3 x)

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite68.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

579×	`pow1_binary64`
546×	`add-log-exp_binary64`
546×	`log1p-expm1-u_binary64`
546×	`expm1-log1p-u_binary64`
535×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1508	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(/.f64 x (/.f64 25/3 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 *.f64 x (*.f64 x 3/25))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 3/25)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 3/25))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3/25))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3/25))) 2) (cbrt.f64 (*.f64 x (*.f64 x 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 x 3/25))) (sqrt.f64 (*.f64 x (*.f64 x 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 -25/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3/25) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/25 (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 25/3) (/.f64 (cbrt.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 25/3) (/.f64 (sqrt.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 25/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 25/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 25/3 x)) 2)) (/.f64 x (cbrt.f64 (/.f64 25/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 25/3 x)) 2)) (cbrt.f64 (*.f64 x (*.f64 x 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 25/3 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 25/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 25/3 x))) (/.f64 x (sqrt.f64 (/.f64 25/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 25/3 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 25/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (*.f64 x 3/25))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x -25/3) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3/25) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3/25) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3/25) (sqrt.f64 x)) (sqrt.f64 x))))) (#(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 pow.f64 (/.f64 25/3 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 -25/3 x)))))) (#(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))))))))

simplify183.0ms (2.8%)

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

50 → 40

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))

localize36.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(*.f64 x 3/25)
✓	0.3b	(/.f64 (*.f64 x 3/25) (/.f64 1 x))

Compiler

Compiled 26 to 19 computations (26.9% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite65.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

714×	`pow1_binary64`
668×	`add-log-exp_binary64`
668×	`log1p-expm1-u_binary64`
668×	`expm1-log1p-u_binary64`
655×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	149	7
2	1898	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify190.0ms (2.9%)

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

53 → 43

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))

localize26.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (sqrt.f64 3/25))
✓	0.3b	(pow.f64 (*.f64 x (sqrt.f64 3/25)) 2)

Compiler

Compiled 25 to 21 computations (16% saved)

series45.0ms (0.7%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
40.0ms	x	@	-inf	(pow.f64 (*.f64 x (sqrt.f64 3/25)) 2)
2.0ms	x	@	0	(pow.f64 (*.f64 x (sqrt.f64 3/25)) 2)
1.0ms	x	@	inf	(pow.f64 (*.f64 x (sqrt.f64 3/25)) 2)
1.0ms	x	@	0	(*.f64 x (sqrt.f64 3/25))
0.0ms	x	@	inf	(*.f64 x (sqrt.f64 3/25))

rewrite66.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`pow1_binary64`
522×	`add-log-exp_binary64`
522×	`log1p-expm1-u_binary64`
522×	`expm1-log1p-u_binary64`
509×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	147	13
2	1538	13

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

Outputs

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

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

simplify387.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

834×	`sqr-pow_binary64`
693×	`cube-prod_binary64`
680×	`fabs-mul_binary64`
647×	`associate-l_binary64`
573×	`pow-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	216
1	19	156
2	38	156
3	93	156
4	387	156
5	2148	156
6	2261	156
7	2472	156
8	2668	156
9	2897	156
10	3202	156
11	3831	156
12	4304	156
13	4933	156
14	5645	156
15	6570	156
16	7084	156
17	7470	156
18	7836	156
19	7936	156
20	7966	156

Stop Event

1×	node limit

Counts

59 → 37

Calls

Call 1

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

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

eval92.0ms (1.4%)

Compiler: Compiled 1735 to 1319 computations (24% saved)

prune107.0ms (1.6%)

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	150	2	152
Fresh	0	1	1
Picked	1	0	1
Done	0	10	10
Total	151	13	164

Error

Counts

164 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	6.1b	(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 x (.f64 x 9/625))) x) (+.f64 253/1000 (.f64 -3/25 x))))
✓	15.5b	(-.f64 1 (*.f64 x 253/1000))
✓	1.4b	(-.f64 1 (.f64 3/25 (.f64 x x)))
✓	0.1b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
✓	1.5b	(-.f64 1 (/.f64 (*.f64 x 3/25) (/.f64 1 x)))
✓	0.1b	(-.f64 1 (+.f64 (.f64 x (.f64 x 3/25)) (*.f64 x 253/1000)))
✓	1.4b	(-.f64 1 (/.f64 x (/.f64 25/3 x)))
	1.5b	(-.f64 1 (*.f64 (/.f64 x -25/3) (neg.f64 x)))
✓	1.4b	(-.f64 1 (.f64 x (.f64 x 3/25)))
✓	0.1b	(-.f64 1 (.f64 x (/.f64 1 (/.f64 (+.f64 253/1000 (.f64 -3/25 x)) (-.f64 64009/1000000 (.f64 9/625 (.f64 x x)))))))
	8.3b	(-.f64 1 (/.f64 x (sqrt.f64 (/.f64 625/9 (*.f64 x x)))))
✓	61.7b	(*.f64 -253/1000 x)
	16.0b	1

Compiler

Compiled 126 to 98 computations (22.2% saved)

regimes120.0ms (1.8%)

Counts

20 → 1

Calls

Call 1

Inputs
1
(*.f64 -253/1000 x)
(-.f64 1 (*.f64 x 253/1000))
(-.f64 1 (/.f64 x (/.f64 25/3 x)))
(-.f64 1 (.f64 x (.f64 x 3/25)))
(-.f64 1 (.f64 3/25 (.f64 x x)))
(-.f64 1 (*.f64 (/.f64 x -25/3) (neg.f64 x)))
(-.f64 1 (/.f64 (*.f64 x 3/25) (/.f64 1 x)))
(-.f64 1 (*.f64 x (/.f64 1 (/.f64 25/3 x))))
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
(-.f64 1 (+.f64 (.f64 x (.f64 x 3/25)) (*.f64 x 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 1 (/.f64 (+.f64 253/1000 (.f64 -3/25 x)) (-.f64 64009/1000000 (.f64 9/625 (.f64 x x)))))))
(-.f64 1 (/.f64 x (sqrt.f64 (/.f64 625/9 (*.f64 x x)))))
(-.f64 1 (/.f64 (.f64 -9/625 (pow.f64 x 3)) (+.f64 253/1000 (.f64 -3/25 x))))
(-.f64 1 (.f64 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))))))
(-.f64 1 (pow.f64 (*.f64 x (sqrt.f64 3/25)) 2))
(-.f64 1 (pow.f64 (*.f64 x (sqrt.f64 3/25)) 2))
(-.f64 1 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 3/25 253/1000)) 3)))

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

Calls

5 calls:

39.0ms	x
21.0ms	(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
21.0ms	(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
13.0ms	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
12.0ms	(-.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 241 to 183 computations (24.1% saved)

regimes73.0ms (1.1%)

Counts

10 → 1

Calls

Call 1

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

45.0ms	x
14.0ms	(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
9.0ms	(-.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 86 to 65 computations (24.4% saved)

regimes17.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
1.4b	1	`x`

Compiler

Compiled 59 to 44 computations (25.4% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
1.4b	1	`x`

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes7.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
15.5b	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -46.1b remaining (-287.3%)

Threshold costs -46.1b (-287.3%)

Counts

2 → 1

Calls

Call 1

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

Outputs
1

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
16.0b	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`+-commutative_binary64`
13×	`sub-neg_binary64`
12×	`*-commutative_binary64`
8×	`distribute-rgt-neg-in_binary64`
8×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	57
1	44	57
2	81	57
3	107	57
4	118	57
5	120	57

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 46 to 36 computations (21.7% saved)

soundness0.0ms (0%)

end40.0ms (0.6%)

Compiler: Compiled 41 to 31 computations (24.4% saved)

Details

analyze6.0ms (0.1%)

sample1.3s (19.7%)

preprocess45.0ms (0.7%)

simplify29.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.2%)

series4.0ms (0.1%)

rewrite62.0ms (1%)

simplify188.0ms (2.9%)

eval24.0ms (0.4%)

prune30.0ms (0.5%)

localize15.0ms (0.2%)

series4.0ms (0.1%)

rewrite62.0ms (1%)

simplify176.0ms (2.7%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite48.0ms (0.7%)

simplify8.0ms (0.1%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite49.0ms (0.8%)

simplify170.0ms (2.6%)

localize158.0ms (2.4%)

series7.0ms (0.1%)

rewrite123.0ms (1.9%)

simplify252.0ms (3.9%)

localize56.0ms (0.9%)

series3.0ms (0%)

rewrite222.0ms (3.4%)

simplify83.0ms (1.3%)

eval528.0ms (8.1%)

prune59.0ms (0.9%)

localize8.0ms (0.1%)

localize3.0ms (0%)

series1.0ms (0%)

rewrite45.0ms (0.7%)

simplify51.0ms (0.8%)

localize12.0ms (0.2%)

series8.0ms (0.1%)

rewrite112.0ms (1.7%)

simplify176.0ms (2.7%)

localize33.0ms (0.5%)

series3.0ms (0%)

rewrite83.0ms (1.3%)

simplify189.0ms (2.9%)

localize21.0ms (0.3%)

series4.0ms (0.1%)

rewrite79.0ms (1.2%)

simplify70.0ms (1.1%)

eval250.0ms (3.8%)

prune87.0ms (1.3%)

localize18.0ms (0.3%)

series2.0ms (0%)

rewrite68.0ms (1%)

simplify183.0ms (2.8%)

localize36.0ms (0.6%)

series2.0ms (0%)

rewrite65.0ms (1%)

simplify190.0ms (2.9%)

localize26.0ms (0.4%)

series45.0ms (0.7%)

rewrite66.0ms (1%)

simplify387.0ms (5.9%)

eval92.0ms (1.4%)

prune107.0ms (1.6%)

regimes120.0ms (1.8%)

regimes73.0ms (1.1%)

regimes17.0ms (0.3%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

simplify7.0ms (0.1%)

soundness0.0ms (0%)

end40.0ms (0.6%)

Profiling