Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample682.0ms (37%)

Results

665.0ms	8256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 22 to 18 computations (18.2% saved)

preprocess25.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 10 to 8 computations (20% saved)

simplify17.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 33 to 25 computations (24.2% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series3.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

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

rewrite37.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

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

Outputs

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

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

simplify42.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	222
1	51	204
2	112	156
3	239	144
4	834	144
5	2839	144
6	4254	144

Stop Event

1×	node limit

Counts

66 → 56

Calls

Call 1

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

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

prune45.0ms (2.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	4	57

Error

0.0b

Counts

57 → 4

Alt Table

Status	Error	Program
▶	0.1b	(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
✓	0.1b	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
	8.1b	(fma.f64 x (cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3)) 1)
	0.4b	(fma.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3) 1)

Compiler

Compiled 669 to 525 computations (21.5% saved)

localize6.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
✓	0.0b	(+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x))
✓	0.1b	(*.f64 253/1000 x)
✓	0.2b	(*.f64 3/25 (pow.f64 x 2))

series5.0ms (0.3%)

Counts

4 → 9

Calls

12 calls:

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

rewrite108.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

474×	`log-prod_binary64`
413×	`fma-def_binary64`
195×	`expm1-udef_binary64`
194×	`log1p-udef_binary64`
174×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	242	36
2	2987	36

Stop Event

1×	node limit

Counts

4 → 160

Calls

Call 1

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

Outputs
((#(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 (exp.f64 (log1p.f64 (.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 (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 pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 27/15625) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 4) 9/625))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (.f64 3/25 (.f64 x x)))))))) (#(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 log1p.f64 (expm1.f64 (.f64 3/25 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3/25 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) (log1p.f64 -22/25)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 x) (log1p.f64 -22/25)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 253/1000)) (cbrt.f64 (pow.f64 (exp.f64 x) 253/1000)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 253/1000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.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 x) 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.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 log1p.f64 (expm1.f64 (.f64 x 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 exp.f64 (.f64 (log.f64 (.f64 x 253/1000)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 x 4) 9/625) (fma.f64 3/25 (.f64 x x) (.f64 -253/1000 x))) (/.f64 (.f64 (.f64 x x) 64009/1000000) (fma.f64 3/25 (.f64 x x) (.f64 -253/1000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))) (pow.f64 (cbrt.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))) 2) (cbrt.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))) (sqrt.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x 3) 16194277/1000000000 (.f64 (pow.f64 (.f64 x x) 3) 27/15625)) (/.f64 1 (fma.f64 (.f64 x 253/1000) (-.f64 (.f64 x 253/1000) (.f64 3/25 (.f64 x x))) (.f64 (pow.f64 x 4) 9/625))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (pow.f64 x 4) 9/625) (.f64 (.f64 x x) 64009/1000000)) (/.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 -253/1000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 x 253/1000) (-.f64 (.f64 x 253/1000) (.f64 3/25 (.f64 x x))) (.f64 (pow.f64 x 4) 9/625)) (fma.f64 (pow.f64 x 3) 16194277/1000000000 (.f64 (pow.f64 (.f64 x x) 3) 27/15625))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 3/25 (.f64 x x) (.f64 -253/1000 x)) (-.f64 (.f64 (pow.f64 x 4) 9/625) (.f64 (.f64 x x) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 16194277/1000000000 (.f64 (pow.f64 (.f64 x x) 3) 27/15625)) (fma.f64 (.f64 x 253/1000) (-.f64 (.f64 x 253/1000) (.f64 3/25 (.f64 x x))) (.f64 (pow.f64 x 4) 9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 16194277/1000000000 (.f64 (pow.f64 (.f64 x x) 3) 27/15625)) (fma.f64 (.f64 x x) 64009/1000000 (-.f64 (.f64 (pow.f64 x 4) 9/625) (.f64 (.f64 (.f64 3/25 (.f64 x x)) 253/1000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 x 4) 9/625) (.f64 (.f64 x x) 64009/1000000)) (fma.f64 3/25 (.f64 x x) (.f64 -253/1000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 16194277/1000000000 (.f64 (pow.f64 (.f64 x x) 3) 27/15625))) (neg.f64 (fma.f64 (.f64 x 253/1000) (-.f64 (.f64 x 253/1000) (.f64 3/25 (.f64 x x))) (.f64 (pow.f64 x 4) 9/625))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 9/625) (.f64 (.f64 x x) 64009/1000000))) (neg.f64 (fma.f64 3/25 (.f64 x x) (.f64 -253/1000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 x x) 64009/1000000 (neg.f64 (.f64 (pow.f64 x 4) 9/625))) (-.f64 (.f64 x 253/1000) (.f64 3/25 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 3/25 (.f64 x x)))) (pow.f64 (exp.f64 x) 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 3/25) (.f64 x x)) (+.f64 1 (expm1.f64 (.f64 x 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 3/25 (.f64 x x)))) (+.f64 1 (expm1.f64 (.f64 x 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 253/1000))) (pow.f64 (exp.f64 3/25) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 x) 253/1000) (+.f64 1 (expm1.f64 (.f64 3/25 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 253/1000))) (+.f64 1 (expm1.f64 (.f64 3/25 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 253/1000 (.f64 3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x 3/25) (.f64 x 253/1000))))) (#(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 (.f64 3/25 (.f64 x x)) 1 (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 253/1000) 1 (.f64 3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 3/25 (.f64 x x)) (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 253/1000) (.f64 3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x 253/1000)) (cbrt.f64 (.f64 (.f64 x x) 64009/1000000)) (.f64 3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (.f64 x x) 64009/1000000)) (cbrt.f64 (.f64 x 253/1000)) (.f64 3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 253/1000) (.f64 3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) 3/25) (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 3/25 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 9/625)) (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 9/625)) (cbrt.f64 (.f64 3/25 (.f64 x x))) (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 253/1000)) (sqrt.f64 (.f64 x 253/1000)) (.f64 3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 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 x) (.f64 (sqrt.f64 x) 253/1000) (.f64 3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (+.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 1)) (cbrt.f64 (+.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 1))) (cbrt.f64 (+.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 1)) (sqrt.f64 (+.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 253/1000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 253/1000 (sqrt.f64 x)) (sqrt.f64 x) (.f64 3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3/25 x) x (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3/25 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (neg.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 -3/25 (.f64 x x))) (neg.f64 (.f64 x 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 -3/25 (.f64 x x))) (.f64 (neg.f64 x) 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 -3/25 (.f64 x x))) (.f64 -253/1000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 -3/25 (.f64 x x))) (.f64 -1 (.f64 x 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 -3/25 (.f64 x x))) (.f64 (neg.f64 (cbrt.f64 (.f64 (.f64 x x) 64009/1000000))) (cbrt.f64 (.f64 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 -3/25 (.f64 x x))) (.f64 (neg.f64 (sqrt.f64 (.f64 x 253/1000))) (sqrt.f64 (.f64 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))))) (cbrt.f64 (exp.f64 (-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))) (pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))) 2) (cbrt.f64 (-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))) (sqrt.f64 (-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 3)) (/.f64 1 (fma.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) (+.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 2)) (/.f64 1 (+.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) (+.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 1) 1) (-.f64 1 (pow.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 1) (-.f64 1 (pow.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 3)) (fma.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) (+.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 2)) (+.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 3))) (neg.f64 (fma.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) (+.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 2))) (neg.f64 (+.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 -3/25 (.f64 x x))) 3) (.f64 (pow.f64 x 3) 16194277/1000000000)) (fma.f64 (+.f64 1 (.f64 -3/25 (.f64 x x))) (+.f64 1 (.f64 -3/25 (.f64 x x))) (fma.f64 (.f64 x x) 64009/1000000 (.f64 (+.f64 1 (.f64 -3/25 (.f64 x x))) (.f64 x 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))) 3)) (+.f64 1 (fma.f64 (neg.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))) (neg.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))) (neg.f64 (neg.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 1 (.f64 -3/25 (.f64 x x))) (+.f64 1 (.f64 -3/25 (.f64 x x)))) (.f64 (.f64 x x) 64009/1000000)) (+.f64 (+.f64 1 (.f64 -3/25 (.f64 x x))) (.f64 x 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (.f64 (neg.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))) (neg.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))))) (-.f64 1 (neg.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (+.f64 1 (.f64 -3/25 (.f64 x x)))) (+.f64 1 (expm1.f64 (.f64 x 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (.f64 -3/25 (.f64 x x))) (neg.f64 (.f64 x 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (.f64 -3/25 (.f64 x x))) (.f64 (neg.f64 x) 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (.f64 -3/25 (.f64 x x))) (.f64 -253/1000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (.f64 -3/25 (.f64 x x))) (.f64 -1 (.f64 x 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (.f64 -3/25 (.f64 x x))) (.f64 (neg.f64 (cbrt.f64 (.f64 (.f64 x x) 64009/1000000))) (cbrt.f64 (.f64 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (.f64 -3/25 (.f64 x x))) (.f64 (neg.f64 (sqrt.f64 (.f64 x 253/1000))) (sqrt.f64 (.f64 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))) 2) (neg.f64 (cbrt.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))) (neg.f64 (sqrt.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (neg.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))) (cbrt.f64 (neg.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))))) (cbrt.f64 (neg.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x)))) (cbrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x))))) (cbrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x)))) (neg.f64 (.f64 x 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x)))) (cbrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x))))) (cbrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x)))) (.f64 (neg.f64 x) 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x)))) (cbrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x))))) (cbrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x)))) (.f64 -253/1000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x)))) (cbrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x))))) (cbrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x)))) (.f64 -1 (.f64 x 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x)))) (cbrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x))))) (cbrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x)))) (.f64 (neg.f64 (cbrt.f64 (.f64 (.f64 x x) 64009/1000000))) (cbrt.f64 (.f64 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x)))) (cbrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x))))) (cbrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x)))) (.f64 (neg.f64 (sqrt.f64 (.f64 x 253/1000))) (sqrt.f64 (.f64 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))) (sqrt.f64 (neg.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x)))) (sqrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x)))) (neg.f64 (.f64 x 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x)))) (sqrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x)))) (.f64 (neg.f64 x) 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x)))) (sqrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x)))) (.f64 -253/1000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x)))) (sqrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x)))) (.f64 -1 (.f64 x 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x)))) (sqrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x)))) (.f64 (neg.f64 (cbrt.f64 (.f64 (.f64 x x) 64009/1000000))) (cbrt.f64 (.f64 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x)))) (sqrt.f64 (+.f64 1 (.f64 -3/25 (.f64 x x)))) (.f64 (neg.f64 (sqrt.f64 (.f64 x 253/1000))) (sqrt.f64 (.f64 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))) 2)) (cbrt.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))) (sqrt.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (fma.f64 3/25 (.f64 x x) (.f64 x 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (neg.f64 (fma.f64 3/25 (.f64 x x) (*.f64 x 253/1000)))) 1))))))

simplify57.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

677×	`fma-neg_binary64`
593×	`cancel-sign-sub-inv_binary64`
483×	`fma-def_binary64`
386×	`associate-l_binary64`
320×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	66
1	36	66
2	75	58
3	214	54
4	698	54
5	2479	54

Stop Event

1×	node limit

Counts

169 → 170

Calls

Call 1

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

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

prune166.0ms (9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	168	2	170
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	170	4	174

Error

0.0b

Counts

174 → 4

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
✓	0.1b	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
	10.5b	(-.f64 1 (+.f64 (sqrt.f64 (.f64 (pow.f64 x 4) 9/625)) (.f64 253/1000 x)))
▶	0.2b	(-.f64 1 (+.f64 (pow.f64 (.f64 x (sqrt.f64 3/25)) 2) (.f64 253/1000 x)))

Compiler

Compiled 3126 to 2165 computations (30.7% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 (.f64 x (sqrt.f64 3/25)) 2) (.f64 253/1000 x))
✓	0.0b	(*.f64 x (sqrt.f64 3/25))
	0.1b	(*.f64 253/1000 x)
✓	0.3b	(pow.f64 (*.f64 x (sqrt.f64 3/25)) 2)

series5.0ms (0.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
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	@	inf	(pow.f64 (*.f64 x (sqrt.f64 3/25)) 2)
1.0ms	x	@	inf	(+.f64 (pow.f64 (.f64 x (sqrt.f64 3/25)) 2) (.f64 253/1000 x))
1.0ms	x	@	0	(+.f64 (pow.f64 (.f64 x (sqrt.f64 3/25)) 2) (.f64 253/1000 x))

rewrite47.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

433×	`log-prod_binary64`
313×	`fma-def_binary64`
249×	`pow2_binary64`
174×	`expm1-udef_binary64`
174×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	219	24
2	2639	24

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 x x) 3/25))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 x x) 3/25))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 x x) 3/25)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 x x) 3/25)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 x x) 3/25)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) 3/25))) 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 (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 (*.f64 x x) 3/25) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x x) 3/25))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 3/25)) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3/25)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 3/25)) (*.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 (*.f64 x x) 3/25)))))) (#(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 x x) 3/25)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/25 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 3/25))) 3) (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 (*.f64 x x) 3/25))) (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 (*.f64 x x) 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3/25)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 3/25)) 1))))))

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 253/1000 (*.f64 (*.f64 x x) 3/25)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (sqrt.f64 3/25)) 4) (fma.f64 (*.f64 x x) 3/25 (*.f64 -253/1000 x))) (/.f64 (*.f64 64009/1000000 (*.f64 x x)) (fma.f64 (*.f64 x x) 3/25 (*.f64 -253/1000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 253/1000 (*.f64 (*.f64 x x) 3/25)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 253/1000 (*.f64 (*.f64 x x) 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 253/1000 (*.f64 (*.f64 x x) 3/25))) (pow.f64 (cbrt.f64 (fma.f64 x 253/1000 (*.f64 (*.f64 x x) 3/25))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 253/1000 (*.f64 (*.f64 x x) 3/25))) 2) (cbrt.f64 (fma.f64 x 253/1000 (*.f64 (*.f64 x x) 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 253/1000 (*.f64 (*.f64 x x) 3/25))) (sqrt.f64 (fma.f64 x 253/1000 (*.f64 (*.f64 x x) 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 16194277/1000000000 (pow.f64 x 3) (pow.f64 (*.f64 x (sqrt.f64 3/25)) 6)) (/.f64 1 (fma.f64 (*.f64 x 253/1000) (-.f64 (*.f64 x 253/1000) (*.f64 (*.f64 x x) 3/25)) (pow.f64 (*.f64 x (sqrt.f64 3/25)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 3/25)) 4) (*.f64 64009/1000000 (*.f64 x x))) (/.f64 1 (fma.f64 (*.f64 x x) 3/25 (*.f64 -253/1000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x 253/1000) (-.f64 (*.f64 x 253/1000) (*.f64 (*.f64 x x) 3/25)) (pow.f64 (*.f64 x (sqrt.f64 3/25)) 4)) (fma.f64 16194277/1000000000 (pow.f64 x 3) (pow.f64 (*.f64 x (sqrt.f64 3/25)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x x) 3/25 (*.f64 -253/1000 x)) (-.f64 (pow.f64 (*.f64 x (sqrt.f64 3/25)) 4) (*.f64 64009/1000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 16194277/1000000000 (pow.f64 x 3) (pow.f64 (*.f64 x (sqrt.f64 3/25)) 6)) (fma.f64 (*.f64 x 253/1000) (-.f64 (*.f64 x 253/1000) (*.f64 (*.f64 x x) 3/25)) (pow.f64 (*.f64 x (sqrt.f64 3/25)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 16194277/1000000000 (pow.f64 x 3) (pow.f64 (*.f64 x (sqrt.f64 3/25)) 6)) (fma.f64 64009/1000000 (*.f64 x x) (-.f64 (pow.f64 (*.f64 x (sqrt.f64 3/25)) 4) (*.f64 (*.f64 (*.f64 x x) 3/25) (*.f64 x 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 3/25)) 4) (*.f64 64009/1000000 (*.f64 x x))) (fma.f64 (*.f64 x x) 3/25 (*.f64 -253/1000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 16194277/1000000000 (pow.f64 x 3) (pow.f64 (*.f64 x (sqrt.f64 3/25)) 6))) (neg.f64 (fma.f64 (*.f64 x 253/1000) (-.f64 (*.f64 x 253/1000) (*.f64 (*.f64 x x) 3/25)) (pow.f64 (*.f64 x (sqrt.f64 3/25)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 3/25)) 4) (*.f64 64009/1000000 (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 x x) 3/25 (*.f64 -253/1000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 64009/1000000 (*.f64 x x)) (pow.f64 (*.f64 x (sqrt.f64 3/25)) 4)) (-.f64 (*.f64 x 253/1000) (*.f64 (*.f64 x x) 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 253/1000 (*.f64 (*.f64 x x) 3/25)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 253/1000 (*.f64 (*.f64 x x) 3/25)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 253/1000 (*.f64 (*.f64 x x) 3/25))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 253/1000 (*.f64 (*.f64 x x) 3/25))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x 253/1000) (-.f64 (*.f64 x 253/1000) (*.f64 (*.f64 x x) 3/25)) (pow.f64 (*.f64 x (sqrt.f64 3/25)) 4)) (fma.f64 16194277/1000000000 (pow.f64 x 3) (pow.f64 (*.f64 x (sqrt.f64 3/25)) 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x x) 3/25 (*.f64 -253/1000 x)) (-.f64 (pow.f64 (*.f64 x (sqrt.f64 3/25)) 4) (*.f64 64009/1000000 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 253/1000 (*.f64 (*.f64 x x) 3/25)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 253/1000 (*.f64 (*.f64 x x) 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 253/1000 (*.f64 (*.f64 x x) 3/25)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) 3/25))) (pow.f64 (exp.f64 253/1000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x x) 3/25)) (+.f64 1 (expm1.f64 (*.f64 x 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) 3/25))) (+.f64 1 (expm1.f64 (*.f64 x 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 253/1000))) (exp.f64 (*.f64 (*.f64 x x) 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 253/1000) x) (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) 3/25)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 253/1000))) (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) 3/25)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 253/1000 (*.f64 (*.f64 x x) 3/25)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 253/1000 (*.f64 (*.f64 x x) 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 253/1000 (*.f64 (*.f64 x x) 3/25))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (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 3/25) (*.f64 x (*.f64 x (sqrt.f64 3/25))) (*.f64 x 253/1000))))) (#(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 (*.f64 (*.f64 x x) 3/25) 1 (*.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 253/1000 x (*.f64 (*.f64 x x) 3/25))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 253/1000) 1 (*.f64 (*.f64 x x) 3/25))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 x x) 3/25) (*.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 253/1000) (*.f64 (*.f64 x x) 3/25))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 253/1000) (*.f64 (*.f64 x x) 3/25))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 253/1000)) (pow.f64 (cbrt.f64 (*.f64 x 253/1000)) 2) (*.f64 (*.f64 x x) 3/25))))) (#(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 (*.f64 x x) 3/25))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 3/25)) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3/25)) 4)) (*.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 3/25)) (*.f64 (cbrt.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 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3/25)) 4)) (cbrt.f64 (*.f64 (*.f64 x x) 3/25)) (*.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (sqrt.f64 3/25))) (*.f64 (sqrt.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 x) (*.f64 (sqrt.f64 x) 253/1000) (*.f64 (*.f64 x x) 3/25))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 253/1000)) (sqrt.f64 (*.f64 x 253/1000)) (*.f64 (*.f64 x 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 3/25 (*.f64 x x) (*.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 3/25))) 3) (sqrt.f64 (*.f64 x (sqrt.f64 3/25))) (*.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 253/1000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 x x) 3/25))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 253/1000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 x x) 3/25))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (sqrt.f64 3/25)) x) (sqrt.f64 3/25) (*.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (sqrt.f64 3/25)) (sqrt.f64 3/25)) x (*.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (sqrt.f64 3/25)) (cbrt.f64 (*.f64 (*.f64 x x) 3/25))) (cbrt.f64 (*.f64 x (sqrt.f64 3/25))) (*.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 253/1000 (*.f64 (*.f64 x x) 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 253/1000 (*.f64 (*.f64 x x) 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 253/1000 (*.f64 (*.f64 x x) 3/25))) 1))))))

simplify71.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

667×	`associate-l_binary64`
649×	`fma-def_binary64`
468×	`associate-r_binary64`
290×	`distribute-lft-in_binary64`
290×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	388
1	25	273
2	47	264
3	124	246
4	460	246
5	2306	246
6	2663	246
7	2991	246
8	3416	246
9	4039	246

Stop Event

1×	node limit

Counts

148 → 118

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

prune117.0ms (6.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	133	5	138

Error

Counts

138 → 5

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
✓	0.1b	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
	10.5b	(-.f64 1 (+.f64 (sqrt.f64 (.f64 (pow.f64 x 4) 9/625)) (.f64 253/1000 x)))
✓	0.2b	(-.f64 1 (+.f64 (pow.f64 (.f64 x (sqrt.f64 3/25)) 2) (.f64 253/1000 x)))
▶	0.1b	(-.f64 1 (fma.f64 x (.f64 (sqrt.f64 3/25) (.f64 x (sqrt.f64 3/25))) (*.f64 x 253/1000)))

Compiler

Compiled 2330 to 1763 computations (24.3% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series4.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

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

rewrite42.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

797×	`pow1_binary64`
739×	`log1p-expm1-u_binary64`
739×	`expm1-log1p-u_binary64`
88×	`add-sqr-sqrt_binary64`
83×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	183	18
2	2044	18

Stop Event

1×	node limit

Counts

3 → 52

Calls

Call 1

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

Outputs

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

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

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

simplify53.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

745×	`associate-l_binary64`
550×	`fma-def_binary64`
530×	`associate-r_binary64`
284×	`distribute-lft-in_binary64`
284×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	328
1	25	213
2	50	204
3	129	186
4	504	186
5	2587	186
6	2939	186
7	3191	186
8	3550	186
9	4175	186

Stop Event

1×	node limit

Counts

88 → 60

Calls

Call 1

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

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

prune119.0ms (6.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	83	5	88

Error

Counts

88 → 5

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 1 (+.f64 (.f64 3/25 (pow.f64 x 2)) (.f64 253/1000 x)))
✓	0.1b	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
	10.5b	(-.f64 1 (+.f64 (sqrt.f64 (.f64 (pow.f64 x 4) 9/625)) (.f64 253/1000 x)))
✓	0.2b	(-.f64 1 (+.f64 (pow.f64 (.f64 x (sqrt.f64 3/25)) 2) (.f64 253/1000 x)))
✓	0.1b	(-.f64 1 (fma.f64 x (.f64 (sqrt.f64 3/25) (.f64 x (sqrt.f64 3/25))) (*.f64 x 253/1000)))

Compiler

Compiled 1325 to 1048 computations (20.9% saved)

regimes85.0ms (4.6%)

Accuracy

Total 0.1b remaining (92.2%)

Threshold costs 0.1b (92.2%)

Counts

35 → 1

Compiler

Compiled 361 to 270 computations (25.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	14	14
2	18	14
3	20	14
4	21	14

Stop Event

1×

saturated

Calls

Call 1

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

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

end78.0ms (4.2%)

Stop Event

1×

fuel

Compiler

Compiled 83 to 66 computations (20.5% saved)

Details

analyze4.0ms (0.2%)

sample682.0ms (37%)

preprocess25.0ms (1.4%)

simplify17.0ms (0.9%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series3.0ms (0.2%)

rewrite37.0ms (2%)

simplify42.0ms (2.3%)

prune45.0ms (2.5%)

localize6.0ms (0.3%)

series5.0ms (0.3%)

rewrite108.0ms (5.9%)

simplify57.0ms (3.1%)

prune166.0ms (9%)

localize8.0ms (0.4%)

series5.0ms (0.3%)

rewrite47.0ms (2.6%)

simplify71.0ms (3.8%)

prune117.0ms (6.4%)

localize7.0ms (0.4%)

series4.0ms (0.2%)

rewrite42.0ms (2.3%)

simplify53.0ms (2.9%)

prune119.0ms (6.5%)

regimes85.0ms (4.6%)

simplify2.0ms (0.1%)

end78.0ms (4.2%)

Profiling