Details

analyze7.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
50%	50%	0%	4
75%	25%	0%	5
87.5%	12.5%	0%	6
93.7%	6.2%	0%	7
96.8%	3.1%	0%	8
98.4%	1.6%	0%	9
99.2%	0.8%	0%	10
99.6%	0.4%	0%	11
99.8%	0.2%	0%	12

Compiler

Compiled 19 to 15 computations (21.1% saved)

sample1.2s (27.2%)

Results

1.2s

8256×

body

256

valid

preprocess97.0ms (2.2%)

Algorithm

2×	egg-herbie

Rules

1040×	`fma-neg_binary64`
807×	`times-frac_binary64`
672×	`associate-/r/_binary64`
392×	`div-sub_binary64`
385×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	25	19
2	45	19
3	88	19
4	136	19
5	213	19
6	379	19
7	630	19
8	1602	19
9	3041	19
10	6035	19
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))

Outputs
(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))))
(-.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(-.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x -4481/100000 -99229/100000) -1)))

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify74.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1040×	`fma-neg_binary64`
807×	`times-frac_binary64`
672×	`associate-/r/_binary64`
392×	`div-sub_binary64`
385×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	25	19
2	45	19
3	88	19
4	136	19
5	213	19
6	379	19
7	630	19
8	1602	19
9	3041	19
10	6035	19

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))

Outputs
(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))))
(-.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(+.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(-.f64 x (/.f64 (fma.f64 x -27061/100000 -230753/100000) (fma.f64 x (fma.f64 x -4481/100000 -99229/100000) -1)))

eval1.0ms (0%)

Compiler: Compiled 32 to 24 computations (25% 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

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize30.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (+.f64 99229/100000 (.f64 x 4481/100000)) x)
✓	0.3b	(*.f64 x 4481/100000)
✓	0.4b	(*.f64 x 27061/100000)
✓	14.7b	(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))

Compiler

Compiled 71 to 55 computations (22.5% saved)

series8.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (+.f64 99229/100000 (.f64 x 4481/100000)) x)
1.0ms	x	@	inf	(.f64 (+.f64 99229/100000 (.f64 x 4481/100000)) x)
1.0ms	x	@	inf	(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))
1.0ms	x	@	0	(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))
1.0ms	x	@	-inf	(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))

rewrite93.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`log-prod_binary64`
576×	`prod-diff_binary64`
427×	`fma-def_binary64`
269×	`expm1-udef_binary64`
269×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	312	32
2	4079	32

Stop Event

1×	node limit

Counts

4 → 106

Calls

Call 1

Inputs
(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x)))
(*.f64 x 27061/100000)
(*.f64 x 4481/100000)
(.f64 (+.f64 99229/100000 (.f64 x 4481/100000)) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 27061/100000 230753/100000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (fma.f64 x 27061/100000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) 1) (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 3))) (fma.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 2))) (-.f64 1 (.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 27061/100000 230753/100000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (neg.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x 27061/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 27061/100000)) (cbrt.f64 (pow.f64 (exp.f64 x) 27061/100000)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 27061/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 27061/100000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 27061/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x 27061/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 27061/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 27061/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x 27061/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) 19816708627981/1000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) 732297721/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 27061/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x 27061/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) 19816708627981/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x 27061/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x 27061/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x 27061/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x 27061/100000)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x 4481/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 4481/100000) x)) (cbrt.f64 (pow.f64 (exp.f64 4481/100000) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4481/100000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4481/100000) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4481/100000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x 4481/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 4481/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 4481/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x 4481/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 89975616641/1000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x 4481/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4481/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x 4481/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 89975616641/1000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 x 4481/100000)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 99229/100000 x) (.f64 (.f64 x 4481/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 4481/100000) x) (.f64 99229/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 99229/100000) (.f64 x (.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x 4481/100000)) (.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 89975616641/1000000000000000 (pow.f64 x 3) 977047873985989/1000000000000000) x) (fma.f64 (.f64 x 4481/100000) (fma.f64 x 4481/100000 -99229/100000) 9846394441/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 9846394441/10000000000 (pow.f64 (.f64 x 4481/100000) 2)) x) (+.f64 99229/100000 (.f64 -4481/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (fma.f64 89975616641/1000000000000000 (pow.f64 x 3) 977047873985989/1000000000000000)) (fma.f64 (.f64 x 4481/100000) (fma.f64 x 4481/100000 -99229/100000) 9846394441/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 9846394441/10000000000 (pow.f64 (.f64 x 4481/100000) 2))) (+.f64 99229/100000 (.f64 -4481/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (.f64 (log1p.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 99229/100000 (.f64 x (.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x 4481/100000) (.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 99229/100000 x (.f64 (.f64 x 4481/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 4481/100000) x (.f64 99229/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2)) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 3)) (/.f64 1 (fma.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 2)) (/.f64 1 (-.f64 1 (.f64 x (fma.f64 x 4481/100000 99229/100000)))) -1)))))

simplify64.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

775×	`distribute-neg-frac_binary64`
771×	`fma-def_binary64`
417×	`times-frac_binary64`
376×	`distribute-rgt-neg-in_binary64`
352×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	396
1	113	392
2	262	381
3	686	357
4	2069	354
5	6004	354

Stop Event

1×	node limit

Counts

154 → 130

Calls

Call 1

Inputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (.f64 -20191289437/10000000000 x)))
(+.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (+.f64 (.f64 -20191289437/10000000000 x) (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))))
(/.f64 27061/4481 x)
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (.f64 27061/4481 (/.f64 1 x))) (+.f64 (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(/.f64 27061/4481 x)
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (.f64 27061/4481 (/.f64 1 x))) (+.f64 (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 99229/100000 x)
(+.f64 (.f64 99229/100000 x) (.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (.f64 99229/100000 x) (.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (.f64 99229/100000 x) (.f64 4481/100000 (pow.f64 x 2)))
(*.f64 4481/100000 (pow.f64 x 2))
(+.f64 (.f64 99229/100000 x) (.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (.f64 99229/100000 x) (.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (.f64 99229/100000 x) (.f64 4481/100000 (pow.f64 x 2)))
(*.f64 4481/100000 (pow.f64 x 2))
(+.f64 (.f64 99229/100000 x) (.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (.f64 99229/100000 x) (.f64 4481/100000 (pow.f64 x 2)))
(+.f64 (.f64 99229/100000 x) (.f64 4481/100000 (pow.f64 x 2)))

Outputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (.f64 -20191289437/10000000000 x)))
(fma.f64 1900161040244073/1000000000000000 (.f64 x x) (+.f64 230753/100000 (.f64 -20191289437/10000000000 x)))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 -20191289437/10000000000 x 230753/100000))
(fma.f64 -20191289437/10000000000 x (fma.f64 x (*.f64 x 1900161040244073/1000000000000000) 230753/100000))
(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)
(+.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (+.f64 (.f64 -20191289437/10000000000 x) (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))))
(fma.f64 1900161040244073/1000000000000000 (.f64 x x) (+.f64 230753/100000 (fma.f64 -20191289437/10000000000 x (.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 1900161040244073/1000000000000000 (.f64 x x) (fma.f64 -20191289437/10000000000 x 230753/100000)) (.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))
(fma.f64 x (*.f64 x 1900161040244073/1000000000000000) (fma.f64 -20191289437/10000000000 x (fma.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3) 230753/100000)))
(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) (fma.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3) 230753/100000))
(fma.f64 x (fma.f64 x (fma.f64 x -179503363065659419717/100000000000000000000 1900161040244073/1000000000000000) -20191289437/10000000000) 230753/100000)
(/.f64 27061/4481 x)
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
(-.f64 (+.f64 (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 -1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 (/.f64 -1651231776/20079361 x) x)))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))))
(-.f64 (+.f64 (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (.f64 27061/4481 (/.f64 1 x))) (+.f64 (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 (/.f64 -1651231776/20079361 x) x) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(/.f64 27061/4481 x)
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
(-.f64 (+.f64 (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 -1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 (/.f64 -1651231776/20079361 x) x)))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))))
(-.f64 (+.f64 (.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (.f64 27061/4481 (/.f64 1 x))) (+.f64 (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (-.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 (/.f64 -1651231776/20079361 x) x) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(+.f64 (.f64 99229/100000 x) (.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (.f64 (.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (.f64 x (.f64 x 4481/100000)))
(.f64 x (+.f64 99229/100000 (.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (.f64 99229/100000 x) (.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (.f64 (.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (.f64 x (.f64 x 4481/100000)))
(.f64 x (+.f64 99229/100000 (.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (.f64 99229/100000 x) (.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (.f64 (.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (.f64 x (.f64 x 4481/100000)))
(.f64 x (+.f64 99229/100000 (.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(.f64 (.f64 x x) 4481/100000)
(.f64 x (.f64 x 4481/100000))
(+.f64 (.f64 99229/100000 x) (.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (.f64 (.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (.f64 x (.f64 x 4481/100000)))
(.f64 x (+.f64 99229/100000 (.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (.f64 99229/100000 x) (.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (.f64 (.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (.f64 x (.f64 x 4481/100000)))
(.f64 x (+.f64 99229/100000 (.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (.f64 99229/100000 x) (.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (.f64 (.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (.f64 x (.f64 x 4481/100000)))
(.f64 x (+.f64 99229/100000 (.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(*.f64 4481/100000 (pow.f64 x 2))
(.f64 (.f64 x x) 4481/100000)
(.f64 x (.f64 x 4481/100000))
(+.f64 (.f64 99229/100000 x) (.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (.f64 (.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (.f64 x (.f64 x 4481/100000)))
(.f64 x (+.f64 99229/100000 (.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (.f64 99229/100000 x) (.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (.f64 (.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (.f64 x (.f64 x 4481/100000)))
(.f64 x (+.f64 99229/100000 (.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))
(+.f64 (.f64 99229/100000 x) (.f64 4481/100000 (pow.f64 x 2)))
(fma.f64 99229/100000 x (.f64 (.f64 x x) 4481/100000))
(fma.f64 x 99229/100000 (.f64 x (.f64 x 4481/100000)))
(.f64 x (+.f64 99229/100000 (.f64 x 4481/100000)))
(*.f64 x (fma.f64 x 4481/100000 99229/100000))

eval63.0ms (1.4%)

Compiler: Compiled 2683 to 2087 computations (22.2% saved)

prune20.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	125	5	130
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	125	6	131

Error

Counts

131 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(-.f64 x 230753/100000)
✓	0b	(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
▶	32.5b	(-.f64 x (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)))
▶	31.5b	(-.f64 x (/.f64 27061/4481 x))
▶	0.6b	(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x 99229/100000))))
▶	26.4b	(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))

Compiler

Compiled 106 to 78 computations (26.4% saved)

localize48.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (*.f64 x 99229/100000))
✓	0.0b	(*.f64 x 99229/100000)
✓	0.0b	(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x 99229/100000)))
	0.4b	(*.f64 x 27061/100000)

Compiler

Compiled 46 to 36 computations (21.7% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x 99229/100000)))
0.0ms	x	@	inf	(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x 99229/100000)))
0.0ms	x	@	inf	(*.f64 x 99229/100000)
0.0ms	x	@	0	(*.f64 x 99229/100000)
0.0ms	x	@	-inf	(*.f64 x 99229/100000)

rewrite78.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

515×	`log-prod_binary64`
380×	`prod-diff_binary64`
319×	`fma-def_binary64`
297×	`pow2_binary64`
285×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	241	21
2	3107	21

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

Inputs
(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x 99229/100000)))
(*.f64 x 99229/100000)
(+.f64 1 (*.f64 x 99229/100000))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 27061/100000 230753/100000) (/.f64 1 (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 99229/100000 1) (fma.f64 x 27061/100000 230753/100000)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 99229/100000 1) (fma.f64 x 27061/100000 230753/100000)) -2)) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (neg.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x 99229/100000 1)) (fma.f64 x 27061/100000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) 1) (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x 99229/100000 1)) -2) (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2))) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2))) (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (cbrt.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x 99229/100000 1) -1/2) (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (sqrt.f64 (fma.f64 x 99229/100000 1))) (/.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (sqrt.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1)) (fma.f64 (.f64 x 99229/100000) (fma.f64 x 99229/100000 -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (-.f64 1 (.f64 9846394441/10000000000 (.f64 x x)))) (+.f64 1 (.f64 -99229/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 99229/100000 1) (fma.f64 x 27061/100000 230753/100000)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 99229/100000 1) (fma.f64 x 27061/100000 230753/100000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3) (pow.f64 (fma.f64 x 99229/100000 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x 99229/100000 1) (fma.f64 x 27061/100000 230753/100000)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (neg.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 99229/100000 1) (fma.f64 x 27061/100000 230753/100000)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3) (pow.f64 (fma.f64 x 99229/100000 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 99229/100000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 99229/100000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x 99229/100000 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 99229/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 9846394441/10000000000 (.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 99229/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x 99229/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 977047873985989/1000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 9846394441/10000000000 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 977047873985989/1000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (.f64 (log1p.f64 (.f64 x 99229/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x 99229/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x 99229/100000 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x 99229/100000 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x 99229/100000 1)) (cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2)) (cbrt.f64 (fma.f64 x 99229/100000 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 99229/100000 1)) (sqrt.f64 (fma.f64 x 99229/100000 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1) (/.f64 1 (fma.f64 (.f64 x 99229/100000) (fma.f64 x 99229/100000 -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (.f64 9846394441/10000000000 (.f64 x x))) (/.f64 1 (+.f64 1 (.f64 -99229/100000 x))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 99229/100000 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (.f64 -99229/100000 x))) (/.f64 (.f64 9846394441/10000000000 (.f64 x x)) (+.f64 1 (.f64 -99229/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x 99229/100000 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 99229/100000 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x 99229/100000 1)) (cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2)) (cbrt.f64 (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 99229/100000 1)) (sqrt.f64 (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1) (/.f64 1 (fma.f64 (.f64 x 99229/100000) (fma.f64 x 99229/100000 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 99229/100000 (sqrt.f64 x)) (sqrt.f64 x) 1)))))

Outputs

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99229/100000 1))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 99229/100000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 99229/100000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x 99229/100000 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 99229/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9846394441/10000000000 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 99229/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 99229/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 977047873985989/1000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9846394441/10000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 977047873985989/1000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 x 99229/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 99229/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x 99229/100000 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x 99229/100000 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x 99229/100000 1)) (cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2)) (cbrt.f64 (fma.f64 x 99229/100000 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 99229/100000 1)) (sqrt.f64 (fma.f64 x 99229/100000 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1) (/.f64 1 (fma.f64 (*.f64 x 99229/100000) (fma.f64 x 99229/100000 -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 9846394441/10000000000 (*.f64 x x))) (/.f64 1 (+.f64 1 (*.f64 -99229/100000 x))) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 99229/100000 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 -99229/100000 x))) (/.f64 (*.f64 9846394441/10000000000 (*.f64 x x)) (+.f64 1 (*.f64 -99229/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 99229/100000 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 99229/100000 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 99229/100000 1)) (cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2)) (cbrt.f64 (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 99229/100000 1)) (sqrt.f64 (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1) (/.f64 1 (fma.f64 (*.f64 x 99229/100000) (fma.f64 x 99229/100000 -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 9846394441/10000000000 (*.f64 x x))) (/.f64 1 (+.f64 1 (*.f64 -99229/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x 99229/100000) (fma.f64 x 99229/100000 -1) 1) (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 -99229/100000 x)) (-.f64 1 (*.f64 9846394441/10000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1) (fma.f64 (*.f64 x 99229/100000) (fma.f64 x 99229/100000 -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1) (fma.f64 9846394441/10000000000 (*.f64 x x) (+.f64 1 (*.f64 -99229/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 9846394441/10000000000 (*.f64 x x))) (+.f64 1 (*.f64 -99229/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1)) (neg.f64 (fma.f64 (*.f64 x 99229/100000) (fma.f64 x 99229/100000 -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 9846394441/10000000000 (*.f64 x x)))) (neg.f64 (+.f64 1 (*.f64 -99229/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 9846394441/10000000000 (*.f64 x x) -1) (fma.f64 x 99229/100000 -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 99229/100000 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 99229/100000 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 99229/100000 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 99229/100000 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x 99229/100000) (fma.f64 x 99229/100000 -1) 1) (fma.f64 977047873985989/1000000000000000 (pow.f64 x 3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (*.f64 -99229/100000 x)) (-.f64 1 (*.f64 9846394441/10000000000 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 99229/100000 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 99229/100000 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 x 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x 99229/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 99229/100000 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 99229/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 99229/100000 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 99229/100000) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 99229/100000)) (cbrt.f64 (*.f64 9846394441/10000000000 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9846394441/10000000000 (*.f64 x x))) (cbrt.f64 (*.f64 x 99229/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 99229/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 99229/100000)) (sqrt.f64 (*.f64 x 99229/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 99229/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 99229/100000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 99229/100000 (sqrt.f64 x)) (sqrt.f64 x) 1)))))

simplify55.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

626×	`fma-def_binary64`
536×	`unswap-sqr_binary64`
515×	`associate-l_binary64`
450×	`associate-/r/_binary64`
338×	`associate-/r*_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	38	243
1	98	241
2	218	238
3	535	231
4	1433	228
5	4756	224

Stop Event

1×	node limit

Counts

145 → 127

Calls

Call 1

Inputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (+.f64 (.f64 2003561459544073/1000000000000000 (pow.f64 x 2)) (.f64 -20191289437/10000000000 x)))
(+.f64 230753/100000 (+.f64 (.f64 2003561459544073/1000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3)) (*.f64 -20191289437/10000000000 x))))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 (+.f64 27061/99229 (.f64 20191289437/9846394441 (/.f64 1 x))) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (+.f64 (.f64 201912894370000000000/96951483487755702481 (/.f64 1 (pow.f64 x 3))) (.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 (+.f64 27061/99229 (.f64 20191289437/9846394441 (/.f64 1 x))) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (+.f64 (.f64 201912894370000000000/96951483487755702481 (/.f64 1 (pow.f64 x 3))) (.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
(*.f64 99229/100000 x)
1
(+.f64 (*.f64 99229/100000 x) 1)
(+.f64 (*.f64 99229/100000 x) 1)
(+.f64 (*.f64 99229/100000 x) 1)
(*.f64 99229/100000 x)
(+.f64 (*.f64 99229/100000 x) 1)
(+.f64 (*.f64 99229/100000 x) 1)
(+.f64 (*.f64 99229/100000 x) 1)
(*.f64 99229/100000 x)
(+.f64 (*.f64 99229/100000 x) 1)
(+.f64 (*.f64 99229/100000 x) 1)
(+.f64 (*.f64 99229/100000 x) 1)

Outputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (+.f64 (.f64 2003561459544073/1000000000000000 (pow.f64 x 2)) (.f64 -20191289437/10000000000 x)))
(+.f64 230753/100000 (fma.f64 2003561459544073/1000000000000000 (.f64 x x) (.f64 -20191289437/10000000000 x)))
(+.f64 230753/100000 (fma.f64 -20191289437/10000000000 x (.f64 2003561459544073/1000000000000000 (.f64 x x))))
(fma.f64 -20191289437/10000000000 x (fma.f64 x (*.f64 x 2003561459544073/1000000000000000) 230753/100000))
(fma.f64 x (fma.f64 x 2003561459544073/1000000000000000 -20191289437/10000000000) 230753/100000)
(+.f64 230753/100000 (+.f64 (.f64 2003561459544073/1000000000000000 (pow.f64 x 2)) (+.f64 (.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3)) (*.f64 -20191289437/10000000000 x))))
(+.f64 230753/100000 (fma.f64 2003561459544073/1000000000000000 (.f64 x x) (fma.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3) (.f64 -20191289437/10000000000 x))))
(+.f64 230753/100000 (fma.f64 2003561459544073/1000000000000000 (.f64 x x) (fma.f64 -20191289437/10000000000 x (.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3)))))
(+.f64 230753/100000 (fma.f64 -198811400069098819717/100000000000000000000 (pow.f64 x 3) (.f64 x (+.f64 -20191289437/10000000000 (.f64 x 2003561459544073/1000000000000000)))))
(fma.f64 -20191289437/10000000000 x (fma.f64 (*.f64 x x) (fma.f64 x -198811400069098819717/100000000000000000000 2003561459544073/1000000000000000) 230753/100000))
(fma.f64 x (fma.f64 x (fma.f64 x -198811400069098819717/100000000000000000000 2003561459544073/1000000000000000) -20191289437/10000000000) 230753/100000)
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(-.f64 (+.f64 27061/99229 (.f64 20191289437/9846394441 (/.f64 1 x))) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(-.f64 (+.f64 27061/99229 (+.f64 (.f64 201912894370000000000/96951483487755702481 (/.f64 1 (pow.f64 x 3))) (.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)))) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3))) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 27061/99229 (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))))
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))))
(+.f64 (/.f64 20191289437/9846394441 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 201912894370000000000/96951483487755702481 x) -2019128943700000/977047873985989) 27061/99229))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(-.f64 (+.f64 27061/99229 (.f64 20191289437/9846394441 (/.f64 1 x))) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x)))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(-.f64 (+.f64 27061/99229 (+.f64 (.f64 201912894370000000000/96951483487755702481 (/.f64 1 (pow.f64 x 3))) (.f64 20191289437/9846394441 (/.f64 1 x)))) (*.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)))) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3))) (-.f64 27061/99229 (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 27061/99229 (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))))
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (+.f64 27061/99229 (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))))
(+.f64 (/.f64 20191289437/9846394441 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 201912894370000000000/96951483487755702481 x) -2019128943700000/977047873985989) 27061/99229))
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
1
(+.f64 (*.f64 99229/100000 x) 1)
(fma.f64 99229/100000 x 1)
(fma.f64 x 99229/100000 1)
(+.f64 (*.f64 99229/100000 x) 1)
(fma.f64 99229/100000 x 1)
(fma.f64 x 99229/100000 1)
(+.f64 (*.f64 99229/100000 x) 1)
(fma.f64 99229/100000 x 1)
(fma.f64 x 99229/100000 1)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(+.f64 (*.f64 99229/100000 x) 1)
(fma.f64 99229/100000 x 1)
(fma.f64 x 99229/100000 1)
(+.f64 (*.f64 99229/100000 x) 1)
(fma.f64 99229/100000 x 1)
(fma.f64 x 99229/100000 1)
(+.f64 (*.f64 99229/100000 x) 1)
(fma.f64 99229/100000 x 1)
(fma.f64 x 99229/100000 1)
(*.f64 99229/100000 x)
(*.f64 x 99229/100000)
(+.f64 (*.f64 99229/100000 x) 1)
(fma.f64 99229/100000 x 1)
(fma.f64 x 99229/100000 1)
(+.f64 (*.f64 99229/100000 x) 1)
(fma.f64 99229/100000 x 1)
(fma.f64 x 99229/100000 1)
(+.f64 (*.f64 99229/100000 x) 1)
(fma.f64 99229/100000 x 1)
(fma.f64 x 99229/100000 1)

localize3.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 27061/4481 x))
✓	0.3b	(/.f64 27061/4481 x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 27061/4481 x)
0.0ms	x	@	inf	(/.f64 27061/4481 x)
0.0ms	x	@	0	(-.f64 x (/.f64 27061/4481 x))
0.0ms	x	@	-inf	(/.f64 27061/4481 x)
0.0ms	x	@	-inf	(-.f64 x (/.f64 27061/4481 x))

rewrite69.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`pow1_binary64`
633×	`add-log-exp_binary64`
633×	`log1p-expm1-u_binary64`
633×	`expm1-log1p-u_binary64`
621×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	119	11
2	1690	11

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(/.f64 27061/4481 x)
(-.f64 x (/.f64 27061/4481 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 27061/4481 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 27061/4481 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 27061/4481 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 27061/4481 x)) (pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 2) (cbrt.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 27061/4481 x)) (sqrt.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -27061/4481 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 27061/4481)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 27061/4481 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 27061/4481 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 4481/27061) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 732297721/20079361 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 27061/4481 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 -27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 -27061/4481 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -27061/4481 x)) (fma.f64 (neg.f64 (/.f64 1 x)) 27061/4481 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -27061/4481 x)) (fma.f64 (/.f64 -27061/4481 x) 1 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -27061/4481 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 27061/4481 x))) (pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 2) (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -27061/4481 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 27061/4481 x))) (sqrt.f64 (/.f64 27061/4481 x)) (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -27061/4481 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 -27061/4481 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 -27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 -27061/4481 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -27061/4481 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -27061/4481 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 -27061/4481 x))) (sqrt.f64 (+.f64 x (/.f64 -27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (/.f64 19816708627981/89975616641 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 27061/4481 x) (+.f64 x (/.f64 27061/4481 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (/.f64 732297721/20079361 (*.f64 x x))) (/.f64 1 (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 27061/4481 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 27061/4481 x) (+.f64 x (/.f64 27061/4481 x)))) (-.f64 (pow.f64 x 3) (/.f64 19816708627981/89975616641 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (-.f64 (*.f64 x x) (/.f64 732297721/20079361 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (/.f64 19816708627981/89975616641 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 27061/4481 x) (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (/.f64 732297721/20079361 (*.f64 x x))) (+.f64 x (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (/.f64 19816708627981/89975616641 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 27061/4481 x) (+.f64 x (/.f64 27061/4481 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 732297721/20079361 (*.f64 x x)))) (neg.f64 (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 -27061/4481 x) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 -27061/4481 x) (/.f64 -27061/4481 x)) (*.f64 x (/.f64 -27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 -27061/4481 x) (/.f64 -27061/4481 x))) (-.f64 x (/.f64 -27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 -27061/4481 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 -27061/4481 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 -27061/4481 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 -27061/4481 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 -27061/4481 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 -27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 -27061/4481 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 -27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 -27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 -27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 -27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -27061/4481 x))))))

simplify24.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

66×	`fma-neg_binary64`
65×	`fma-def_binary64`
30×	`associate-/r*_binary64`
26×	`cancel-sign-sub-inv_binary64`
23×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	69
1	19	69
2	30	69
3	47	69
4	63	69
5	88	69
6	135	69
7	188	69
8	245	69
9	328	69
10	461	69
11	486	69
12	504	69

Stop Event

1×

saturated

Counts

68 → 59

Calls

Call 1

Inputs
(/.f64 -27061/4481 x)
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
x
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
x
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))

Outputs
(/.f64 -27061/4481 x)
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))
x
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))
x
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))
(-.f64 x (*.f64 27061/4481 (/.f64 1 x)))
(-.f64 x (/.f64 27061/4481 x))
(+.f64 x (/.f64 -27061/4481 x))

localize41.0ms (0.9%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
✓	0.1b	(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
✓	0.6b	(*.f64 -20191289437/10000000000 x)

Compiler

Compiled 19 to 14 computations (26.3% saved)

series3.0ms (0.1%)

Counts

3 → 15

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 -20191289437/10000000000 x)
0.0ms	x	@	inf	(*.f64 -20191289437/10000000000 x)
0.0ms	x	@	-inf	(*.f64 -20191289437/10000000000 x)
0.0ms	x	@	inf	(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
0.0ms	x	@	0	(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))

rewrite91.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

940×	`pow1_binary64`
888×	`add-log-exp_binary64`
888×	`log1p-expm1-u_binary64`
888×	`expm1-log1p-u_binary64`
874×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	165	17
2	2287	17

Stop Event

1×	node limit

Counts

3 → 86

Calls

Call 1

Inputs
(*.f64 -20191289437/10000000000 x)
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -20191289437/10000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -20191289437/10000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -20191289437/10000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -20191289437/10000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -20191289437/10000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -20191289437/10000000000 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) (fma.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 1 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) (pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2) (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -230753/100000) (neg.f64 (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -230753/100000) (*.f64 20191289437/10000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -230753/100000) (*.f64 (neg.f64 x) -20191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -230753/100000) (*.f64 -1 (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -230753/100000) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 -20191289437/10000000000 x)) 2)) (cbrt.f64 (*.f64 -20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -230753/100000) (*.f64 (neg.f64 (sqrt.f64 (*.f64 -20191289437/10000000000 x))) (sqrt.f64 (*.f64 -20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) 2) (cbrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) (sqrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2)) (/.f64 1 (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3)) (fma.f64 x x (*.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2)) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2))) (neg.f64 (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x -230753/100000) 3) (pow.f64 (*.f64 -20191289437/10000000000 x) 3)) (+.f64 (*.f64 (+.f64 x -230753/100000) (+.f64 x -230753/100000)) (+.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (*.f64 (+.f64 x -230753/100000) (*.f64 -20191289437/10000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) (*.f64 x (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x -230753/100000) (+.f64 x -230753/100000)) (pow.f64 (*.f64 -20191289437/10000000000 x) 2)) (+.f64 (+.f64 x -230753/100000) (*.f64 -20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))) (-.f64 x (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -20191289437/10000000000 x 230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 53246947009/10000000000 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))) (/.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -20191289437/10000000000 x 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2) (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 12286892763167777/1000000000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 3)) (/.f64 1 (+.f64 53246947009/10000000000 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (*.f64 -4659200611456061/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 53246947009/10000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 2)) (/.f64 1 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 53246947009/10000000000 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (*.f64 -4659200611456061/1000000000000000 x))) (+.f64 12286892763167777/1000000000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x)) (-.f64 53246947009/10000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 3)) (+.f64 53246947009/10000000000 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (*.f64 -4659200611456061/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 3)) (+.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (-.f64 53246947009/10000000000 (*.f64 -4659200611456061/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 53246947009/10000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 2)) (+.f64 230753/100000 (*.f64 20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 12286892763167777/1000000000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 3))) (neg.f64 (+.f64 53246947009/10000000000 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) (*.f64 -4659200611456061/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 53246947009/10000000000 (pow.f64 (*.f64 -20191289437/10000000000 x) 2))) (neg.f64 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -20191289437/10000000000 x) 2) 53246947009/10000000000) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -20191289437/10000000000 x 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -20191289437/10000000000 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -20191289437/10000000000 x) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -20191289437/10000000000 x)) 2) (cbrt.f64 (*.f64 -20191289437/10000000000 x)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -20191289437/10000000000 x)) (sqrt.f64 (*.f64 -20191289437/10000000000 x)) 230753/100000)))))

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`fma-neg_binary64`
1×	`+-commutative_binary64`
1×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	63
1	14	63
2	16	63

Stop Event

1×

saturated

Counts

101 → 93

Calls

Call 1

Inputs
-230753/100000
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(*.f64 30191289437/10000000000 x)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(*.f64 30191289437/10000000000 x)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
230753/100000
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)

Outputs
-230753/100000
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(*.f64 30191289437/10000000000 x)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(*.f64 30191289437/10000000000 x)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
230753/100000
(*.f64 -20191289437/10000000000 x)
(*.f64 x -20191289437/10000000000)
(*.f64 -20191289437/10000000000 x)
(*.f64 x -20191289437/10000000000)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 -1651231776/20079361 x) x)
✓	0.3b	(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
	0.3b	(/.f64 27061/4481 x)
✓	0.4b	(/.f64 -1651231776/20079361 x)

Compiler

Compiled 35 to 23 computations (34.3% saved)

series5.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 -1651231776/20079361 x)
1.0ms	x	@	0	(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
0.0ms	x	@	0	(/.f64 (/.f64 -1651231776/20079361 x) x)
0.0ms	x	@	inf	(/.f64 -1651231776/20079361 x)
0.0ms	x	@	-inf	(/.f64 -1651231776/20079361 x)

rewrite105.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

454×	`log-prod_binary64`
348×	`exp-prod_binary64`
339×	`fma-def_binary64`
297×	`pow-prod-down_binary64`
255×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	193	24
2	2933	22

Stop Event

1×	node limit

Counts

3 → 188

Calls

Call 1

Inputs
(/.f64 -1651231776/20079361 x)
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
(/.f64 (/.f64 -1651231776/20079361 x) x)

Outputs

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simplify81.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

751×	`times-frac_binary64`
657×	`fma-neg_binary64`
533×	`div-sub_binary64`
522×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	216
1	32	216
2	57	216
3	113	216
4	293	216
5	1035	216
6	4823	216
7	7508	216

Stop Event

1×	node limit

Counts

212 → 193

Calls

Call 1

Inputs
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(/.f64 27061/4481 x)
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(/.f64 27061/4481 x)
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))

Outputs
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(/.f64 27061/4481 x)
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(/.f64 27061/4481 x)
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))

eval341.0ms (7.6%)

Compiler: Compiled 7778 to 5673 computations (27.1% saved)

prune96.0ms (2.1%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	504	6	510
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	505	11	516

Error

Counts

516 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.4b	(-.f64 x (+.f64 230753/100000 (-.f64 (+.f64 1 (*.f64 -20191289437/10000000000 x)) 1)))
✓	32.5b	(-.f64 x (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)))
▶	27.4b	(-.f64 x 27061/99229)
✓	31.5b	(-.f64 x (/.f64 27061/4481 x))
▶	26.4b	(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
✓	0.6b	(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x 99229/100000))))
✓	0.7b	(-.f64 x 230753/100000)
✓	0b	(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
▶	32.5b	(-.f64 x (+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
	31.6b	x
	31.0b	-230753/100000

Compiler

Compiled 94 to 71 computations (24.5% saved)

localize3.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 230753/100000 (-.f64 (+.f64 1 (*.f64 -20191289437/10000000000 x)) 1))
✓	0.1b	(-.f64 x (+.f64 230753/100000 (-.f64 (+.f64 1 (*.f64 -20191289437/10000000000 x)) 1)))
	0.6b	(*.f64 -20191289437/10000000000 x)
✓	2.5b	(-.f64 (+.f64 1 (*.f64 -20191289437/10000000000 x)) 1)

Compiler

Compiled 40 to 33 computations (17.5% saved)

series29.0ms (0.7%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
27.0ms	x	@	-inf	(+.f64 230753/100000 (-.f64 (+.f64 1 (*.f64 -20191289437/10000000000 x)) 1))
0.0ms	x	@	inf	(-.f64 (+.f64 1 (*.f64 -20191289437/10000000000 x)) 1)
0.0ms	x	@	0	(-.f64 (+.f64 1 (*.f64 -20191289437/10000000000 x)) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (*.f64 -20191289437/10000000000 x)) 1)
0.0ms	x	@	inf	(+.f64 230753/100000 (-.f64 (+.f64 1 (*.f64 -20191289437/10000000000 x)) 1))

rewrite131.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

697×	`fma-def_binary64`
451×	`log-prod_binary64`
339×	`fma-neg_binary64`
291×	`pow-prod-down_binary64`
286×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	242	21
2	3631	17

Stop Event

1×	node limit

Counts

3 → 250

Calls

Call 1

Inputs

(-.f64 (+.f64 1 (*.f64 -20191289437/10000000000 x)) 1)

(-.f64 x (+.f64 230753/100000 (-.f64 (+.f64 1 (*.f64 -20191289437/10000000000 x)) 1)))

(+.f64 230753/100000 (-.f64 (+.f64 1 (*.f64 -20191289437/10000000000 x)) 1))

Outputs

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(sqrt.f64 x) -20191289437/10000000000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 1) 2) (fma.f64 -20191289437/10000000000 x 2))) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3) 1) (/.f64 1 (fma.f64 (*.f64 -20191289437/10000000000 x) (fma.f64 -20191289437/10000000000 x -1) 1)) 130753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 1) 2) -1) (/.f64 1 (fma.f64 -20191289437/10000000000 x 2)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 407688169128707776969/100000000000000000000 (*.f64 x x))) (/.f64 1 (+.f64 1 (*.f64 20191289437/10000000000 x))) 130753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 330753/100000 (*.f64 -20191289437/10000000000 x))) 2) (cbrt.f64 (+.f64 330753/100000 (*.f64 -20191289437/10000000000 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 330753/100000 (*.f64 -20191289437/10000000000 x))) (sqrt.f64 (+.f64 330753/100000 (*.f64 -20191289437/10000000000 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 -20191289437/10000000000 x 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -20191289437/10000000000 x 1)) 1) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -20191289437/10000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -20191289437/10000000000 (sqrt.f64 x)) (sqrt.f64 x) 230753/100000)))))

simplify17.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`fma-def_binary64`
2×	`fma-neg_binary64`
1×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	174
1	16	156
2	20	156

Stop Event

1×

saturated

Counts

286 → 257

Calls

Call 1

Inputs
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)
-230753/100000
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(*.f64 30191289437/10000000000 x)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(*.f64 30191289437/10000000000 x)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(*.f64 -20191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(*.f64 -20191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))

Outputs
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)
-230753/100000
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
(*.f64 30191289437/10000000000 x)
(*.f64 x 30191289437/10000000000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
(*.f64 30191289437/10000000000 x)
(*.f64 x 30191289437/10000000000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(fma.f64 30191289437/10000000000 x -230753/100000)
(fma.f64 x 30191289437/10000000000 -230753/100000)
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 (*.f64 -20191289437/10000000000 x) 230753/100000)
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 (*.f64 -20191289437/10000000000 x) 230753/100000)
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 (*.f64 -20191289437/10000000000 x) 230753/100000)
(fma.f64 -20191289437/10000000000 x 230753/100000)
(*.f64 -20191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 (*.f64 -20191289437/10000000000 x) 230753/100000)
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 (*.f64 -20191289437/10000000000 x) 230753/100000)
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 (*.f64 -20191289437/10000000000 x) 230753/100000)
(fma.f64 -20191289437/10000000000 x 230753/100000)
(*.f64 -20191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 (*.f64 -20191289437/10000000000 x) 230753/100000)
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 (*.f64 -20191289437/10000000000 x) 230753/100000)
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 (*.f64 -20191289437/10000000000 x) 230753/100000)
(fma.f64 -20191289437/10000000000 x 230753/100000)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
✓	0.0b	(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
✓	0.2b	(/.f64 20191289437/9846394441 x)
✓	0.4b	(/.f64 -2019128943700000/977047873985989 (*.f64 x x))

Compiler

Compiled 45 to 28 computations (37.8% saved)

series5.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
0.0ms	x	@	inf	(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
0.0ms	x	@	0	(/.f64 20191289437/9846394441 x)
0.0ms	x	@	inf	(/.f64 20191289437/9846394441 x)
0.0ms	x	@	0	(-.f64 x (+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))

rewrite138.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`fma-def_binary64`
572×	`log-prod_binary64`
338×	`fma-neg_binary64`
276×	`log-div_binary64`
244×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	274	42
2	4245	42

Stop Event

1×	node limit

Counts

4 → 252

Calls

Call 1

Inputs
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 20191289437/9846394441 x)
(+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(-.f64 x (+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))

Outputs
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x) (sqrt.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229))) (.f64 (neg.f64 (/.f64 (sqrt.f64 -2019128943700000/977047873985989) x)) (/.f64 (sqrt.f64 -2019128943700000/977047873985989) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x)))) 2)) (cbrt.f64 (+.f64 27061/99229 (fma.f64 -2019128943700000/977047873985989 (pow.f64 x -2) (/.f64 20191289437/9846394441 x)))) x)))))

simplify205.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

595×	`fma-def_binary64`
583×	`associate-/l/_binary64`
518×	`fma-neg_binary64`
495×	`div-sub_binary64`
458×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	339
1	68	339
2	151	339
3	316	339
4	715	339
5	2045	339
6	7281	339

Stop Event

1×	node limit

Counts

288 → 274

Calls

Call 1

Inputs
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(-.f64 (.f64 20191289437/9846394441 (/.f64 1 x)) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (.f64 20191289437/9846394441 (/.f64 1 x))) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (.f64 20191289437/9846394441 (/.f64 1 x))) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 (+.f64 27061/99229 (.f64 20191289437/9846394441 (/.f64 1 x))) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (.f64 20191289437/9846394441 (/.f64 1 x))) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 (+.f64 27061/99229 (.f64 20191289437/9846394441 (/.f64 1 x))) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 27061/99229 (.f64 20191289437/9846394441 (/.f64 1 x))) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(-.f64 (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))) (.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))) (+.f64 27061/99229 (.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))) x) (+.f64 27061/99229 (.f64 20191289437/9846394441 (/.f64 1 x))))
x
(-.f64 x 27061/99229)
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))) x) (+.f64 27061/99229 (.f64 20191289437/9846394441 (/.f64 1 x))))
x
(-.f64 x 27061/99229)
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))) x) (+.f64 27061/99229 (.f64 20191289437/9846394441 (/.f64 1 x))))

Outputs
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
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localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
✓	0.3b	(*.f64 30191289437/10000000000 x)

Compiler

Compiled 12 to 9 computations (25% saved)

series3.0ms (0.1%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
1.0ms	x	@	0	(*.f64 30191289437/10000000000 x)
0.0ms	x	@	inf	(*.f64 30191289437/10000000000 x)
0.0ms	x	@	-inf	(*.f64 30191289437/10000000000 x)
0.0ms	x	@	inf	(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)

rewrite69.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`pow1_binary64`
612×	`add-log-exp_binary64`
612×	`log1p-expm1-u_binary64`
612×	`expm1-log1p-u_binary64`
603×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	135	9
2	1602	9

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(*.f64 30191289437/10000000000 x)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 30191289437/10000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 30191289437/10000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 30191289437/10000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 30191289437/10000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 30191289437/10000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 30191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 30191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 30191289437/10000000000 x)))))))

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-12286892763167777/1000000000000000) (+.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 2) (+.f64 53246947009/10000000000 (*.f64 x 6966730611456061/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 3) -12286892763167777/1000000000000000) (+.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 2) (-.f64 53246947009/10000000000 (*.f64 (*.f64 30191289437/10000000000 x) -230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 2) -53246947009/10000000000) (fma.f64 30191289437/10000000000 x 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 2) -53246947009/10000000000) (-.f64 (*.f64 30191289437/10000000000 x) -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 3) -12286892763167777/1000000000000000)) (neg.f64 (+.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 2) (+.f64 53246947009/10000000000 (*.f64 x 6966730611456061/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 30191289437/10000000000 x) 2) -53246947009/10000000000)) (neg.f64 (fma.f64 30191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 30191289437/10000000000 x -230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 30191289437/10000000000 x -230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 30191289437/10000000000 x -230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 30191289437/10000000000 x -230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 30191289437/10000000000 x -230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 30191289437/10000000000 x -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 30191289437/10000000000 x -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 30191289437/10000000000 -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 30191289437/10000000000 x) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 30191289437/10000000000 x)) 2) (cbrt.f64 (*.f64 30191289437/10000000000 x)) -230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 30191289437/10000000000 x)) (sqrt.f64 (*.f64 30191289437/10000000000 x)) -230753/100000)))))

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	6	9

Stop Event

1×

saturated

Counts

46 → 45

Calls

Call 1

Inputs
-230753/100000
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)

Outputs
-230753/100000
(*.f64 30191289437/10000000000 x)
(*.f64 30191289437/10000000000 x)

eval436.0ms (9.7%)

Compiler: Compiled 11105 to 8581 computations (22.7% saved)

prune82.0ms (1.8%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	586	1	587
Fresh	0	2	2
Picked	0	1	1
Done	1	7	8
Total	587	11	598

Error

Counts

598 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.5b	(+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) (+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x)))
✓	0b	(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
✓	26.4b	(-.f64 x (+.f64 230753/100000 (-.f64 (+.f64 1 (*.f64 -20191289437/10000000000 x)) 1)))
✓	32.5b	(-.f64 x (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)))
✓	27.4b	(-.f64 x 27061/99229)
✓	31.5b	(-.f64 x (/.f64 27061/4481 x))
✓	26.4b	(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
✓	0.6b	(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x 99229/100000))))
✓	0.7b	(-.f64 x 230753/100000)
	31.6b	x
	31.0b	-230753/100000

Compiler

Compiled 94 to 71 computations (24.5% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) (+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x)))
✓	0.0b	(+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x))
✓	0.2b	(/.f64 -20191289437/9846394441 x)
✓	0.4b	(/.f64 2019128943700000/977047873985989 (*.f64 x x))

Compiler

Compiled 39 to 24 computations (38.5% saved)

series4.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 2019128943700000/977047873985989 (*.f64 x x))
0.0ms	x	@	inf	(/.f64 2019128943700000/977047873985989 (*.f64 x x))
0.0ms	x	@	0	(/.f64 -20191289437/9846394441 x)
0.0ms	x	@	-inf	(+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) (+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x)))
0.0ms	x	@	0	(+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x))

rewrite119.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

697×	`fma-def_binary64`
562×	`log-prod_binary64`
384×	`fma-neg_binary64`
294×	`log-div_binary64`
242×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	273	38
2	4258	38

Stop Event

1×	node limit

Counts

4 → 234

Calls

Call 1

Inputs
(/.f64 2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -20191289437/9846394441 x)
(+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x))
(+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) (+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 2019128943700000/977047873985989 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 2019128943700000/977047873985989) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (exp.f64 2019128943700000/977047873985989) (pow.f64 x -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2019128943700000/977047873985989) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2019128943700000/977047873985989) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2019128943700000/977047873985989) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 2019128943700000/977047873985989 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2019128943700000/977047873985989 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2019128943700000/977047873985989 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 2019128943700000/977047873985989 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 2019128943700000/977047873985989 (pow.f64 x -2))) (cbrt.f64 (/.f64 4076881691287077769690000000000/954622548060541040474968308121 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 4076881691287077769690000000000/954622548060541040474968308121 (pow.f64 x 4))) (cbrt.f64 (.f64 2019128943700000/977047873985989 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 2019128943700000/977047873985989) x) (/.f64 (sqrt.f64 2019128943700000/977047873985989) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2019128943700000/977047873985989 (/.f64 1 (.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -2) 2019128943700000/977047873985989)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2019128943700000/977047873985989 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2019128943700000/977047873985989 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 2019128943700000/977047873985989 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2019128943700000/977047873985989) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 8231749822918346830573921576453000000000000000/932711931041639230364939495148905203788916669 (pow.f64 (pow.f64 x -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) 977047873985989/2019128943700000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4076881691287077769690000000000/954622548060541040474968308121 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2019128943700000/977047873985989) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 2019128943700000/977047873985989 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 8231749822918346830573921576453000000000000000/932711931041639230364939495148905203788916669 (pow.f64 (pow.f64 x -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 2019128943700000/977047873985989 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 2019128943700000/977047873985989 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 2019128943700000/977047873985989 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 2019128943700000/977047873985989 (pow.f64 x -2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 -20191289437/9846394441 x))) (cbrt.f64 (exp.f64 (/.f64 -20191289437/9846394441 x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -20191289437/9846394441 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -20191289437/9846394441 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -20191289437/9846394441 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -20191289437/9846394441 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -20191289437/9846394441 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -20191289437/9846394441 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 -20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 -20191289437/9846394441 x)) (pow.f64 (cbrt.f64 (/.f64 -20191289437/9846394441 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 -20191289437/9846394441 x)) 2) (cbrt.f64 (/.f64 -20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 -20191289437/9846394441 x)) (sqrt.f64 (/.f64 -20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 20191289437/9846394441 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) -20191289437/9846394441)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -20191289437/9846394441 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -20191289437/9846394441 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -20191289437/9846394441 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x -9846394441/20191289437) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 407688169128707776969/96951483487755702481 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 -20191289437/9846394441 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 (/.f64 -20191289437/9846394441 x) -27061/99229)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x -27061/99229) 2) (+.f64 -27061/99229 (-.f64 x (/.f64 -20191289437/9846394441 x)))) (/.f64 (/.f64 407688169128707776969/96951483487755702481 (.f64 x x)) (+.f64 -27061/99229 (-.f64 x (/.f64 -20191289437/9846394441 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (+.f64 (/.f64 -20191289437/9846394441 x) -27061/99229)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (+.f64 (/.f64 -20191289437/9846394441 x) -27061/99229)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x (+.f64 (/.f64 -20191289437/9846394441 x) -27061/99229))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (/.f64 -20191289437/9846394441 x) -27061/99229))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (/.f64 -20191289437/9846394441 x) 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simplify71.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

719×	`distribute-neg-frac_binary64`
457×	`unswap-sqr_binary64`
427×	`fma-def_binary64`
403×	`times-frac_binary64`
397×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	290
1	60	288
2	131	288
3	267	288
4	630	288
5	1542	288
6	5844	288

Stop Event

1×	node limit

Counts

270 → 250

Calls

Call 1

Inputs
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -20191289437/9846394441 x)
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
x
(-.f64 x 27061/99229)
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
x
(-.f64 x 27061/99229)
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(-.f64 (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))) (.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))) (+.f64 27061/99229 (.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))) x) (+.f64 27061/99229 (.f64 20191289437/9846394441 (/.f64 1 x))))
x
(-.f64 x 27061/99229)
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))) x) (+.f64 27061/99229 (.f64 20191289437/9846394441 (/.f64 1 x))))
x
(-.f64 x 27061/99229)
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))) x) (+.f64 27061/99229 (.f64 20191289437/9846394441 (/.f64 1 x))))

Outputs
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (*.f64 x x))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (*.f64 x x))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (*.f64 x x))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (*.f64 x x))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (*.f64 x x))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (*.f64 x x))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (*.f64 x x))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (*.f64 x x))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (*.f64 x x))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (*.f64 x x))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (*.f64 x x))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (*.f64 x x))
(/.f64 -20191289437/9846394441 x)
(neg.f64 (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(neg.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 (/.f64 -20191289437/9846394441 x) -27061/99229)
(-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x))
(+.f64 x (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 x (+.f64 (/.f64 -20191289437/9846394441 x) -27061/99229))
(+.f64 (/.f64 -20191289437/9846394441 x) (+.f64 x -27061/99229))
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x))
(+.f64 x (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 x (+.f64 (/.f64 -20191289437/9846394441 x) -27061/99229))
(+.f64 (/.f64 -20191289437/9846394441 x) (+.f64 x -27061/99229))
x
(-.f64 x 27061/99229)
(+.f64 x -27061/99229)
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x))
(+.f64 x (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 x (+.f64 (/.f64 -20191289437/9846394441 x) -27061/99229))
(+.f64 (/.f64 -20191289437/9846394441 x) (+.f64 x -27061/99229))
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x))
(+.f64 x (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 x (+.f64 (/.f64 -20191289437/9846394441 x) -27061/99229))
(+.f64 (/.f64 -20191289437/9846394441 x) (+.f64 x -27061/99229))
x
(-.f64 x 27061/99229)
(+.f64 x -27061/99229)
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x))
(+.f64 x (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 x (+.f64 (/.f64 -20191289437/9846394441 x) -27061/99229))
(+.f64 (/.f64 -20191289437/9846394441 x) (+.f64 x -27061/99229))
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x))
(+.f64 x (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 x (+.f64 (/.f64 -20191289437/9846394441 x) -27061/99229))
(+.f64 (/.f64 -20191289437/9846394441 x) (+.f64 x -27061/99229))
(/.f64 2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 2019128943700000/977047873985989 (*.f64 x x))
(-.f64 (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))) (.f64 20191289437/9846394441 (/.f64 1 x)))
(-.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) (/.f64 20191289437/9846394441 x))
(+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) (/.f64 -20191289437/9846394441 x))
(-.f64 (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))) (+.f64 27061/99229 (.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 (+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) -27061/99229) (/.f64 -20191289437/9846394441 x))
(+.f64 (-.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) (/.f64 20191289437/9846394441 x)) -27061/99229)
(+.f64 (+.f64 (/.f64 -20191289437/9846394441 x) -27061/99229) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) (/.f64 -20191289437/9846394441 x)) -27061/99229)
(-.f64 (+.f64 (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))) x) (+.f64 27061/99229 (.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) (-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x))))
(+.f64 (+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x)) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 x (+.f64 (-.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) (/.f64 20191289437/9846394441 x)) -27061/99229))
(+.f64 x (+.f64 (+.f64 (/.f64 -20191289437/9846394441 x) -27061/99229) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (+.f64 x (+.f64 (/.f64 -20191289437/9846394441 x) -27061/99229)) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 -20191289437/9846394441 x) (+.f64 x -27061/99229)) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
x
(-.f64 x 27061/99229)
(+.f64 x -27061/99229)
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x))
(+.f64 x (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 x (+.f64 (/.f64 -20191289437/9846394441 x) -27061/99229))
(+.f64 (/.f64 -20191289437/9846394441 x) (+.f64 x -27061/99229))
(-.f64 (+.f64 (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))) x) (+.f64 27061/99229 (.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) (-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x))))
(+.f64 (+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x)) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 x (+.f64 (-.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) (/.f64 20191289437/9846394441 x)) -27061/99229))
(+.f64 x (+.f64 (+.f64 (/.f64 -20191289437/9846394441 x) -27061/99229) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (+.f64 x (+.f64 (/.f64 -20191289437/9846394441 x) -27061/99229)) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 -20191289437/9846394441 x) (+.f64 x -27061/99229)) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
x
(-.f64 x 27061/99229)
(+.f64 x -27061/99229)
(-.f64 x (+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x))))
(-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x))
(+.f64 x (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))
(+.f64 x (+.f64 (/.f64 -20191289437/9846394441 x) -27061/99229))
(+.f64 (/.f64 -20191289437/9846394441 x) (+.f64 x -27061/99229))
(-.f64 (+.f64 (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))) x) (+.f64 27061/99229 (.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) (-.f64 x (+.f64 27061/99229 (/.f64 20191289437/9846394441 x))))
(+.f64 (+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x)) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 x (+.f64 (-.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) (/.f64 20191289437/9846394441 x)) -27061/99229))
(+.f64 x (+.f64 (+.f64 (/.f64 -20191289437/9846394441 x) -27061/99229) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 (+.f64 x (+.f64 (/.f64 -20191289437/9846394441 x) -27061/99229)) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 -20191289437/9846394441 x) (+.f64 x -27061/99229)) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))

eval113.0ms (2.5%)

Compiler: Compiled 5350 to 3864 computations (27.8% saved)

prune37.0ms (0.8%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	250	0	250
Fresh	0	2	2
Picked	0	1	1
Done	0	8	8
Total	250	11	261

Error

Counts

261 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.5b	(+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) (+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x)))
✓	0b	(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
✓	26.4b	(-.f64 x (+.f64 230753/100000 (-.f64 (+.f64 1 (*.f64 -20191289437/10000000000 x)) 1)))
✓	32.5b	(-.f64 x (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)))
✓	27.4b	(-.f64 x 27061/99229)
✓	31.5b	(-.f64 x (/.f64 27061/4481 x))
✓	26.4b	(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
✓	0.6b	(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x 99229/100000))))
✓	0.7b	(-.f64 x 230753/100000)
	31.6b	x
	31.0b	-230753/100000

Compiler

Compiled 94 to 71 computations (24.5% saved)

regimes19.0ms (0.4%)

Counts

13 → 1

Calls

Call 1

Inputs
x
-230753/100000
(-.f64 x 27061/99229)
(-.f64 x 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 x (/.f64 27061/4481 x))
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(-.f64 x (+.f64 230753/100000 (-.f64 (+.f64 1 (*.f64 -20191289437/10000000000 x)) 1)))
(-.f64 x (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)))
(+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) (+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x)))
(-.f64 x (+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x 99229/100000))))
(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))

Outputs
(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))

Calls

2 calls:

8.0ms	x
6.0ms	(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))`

Compiler

Compiled 124 to 89 computations (28.2% saved)

regimes10.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

Inputs
x
-230753/100000
(-.f64 x 27061/99229)
(-.f64 x 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 x (/.f64 27061/4481 x))
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(-.f64 x (+.f64 230753/100000 (-.f64 (+.f64 1 (*.f64 -20191289437/10000000000 x)) 1)))
(-.f64 x (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)))
(+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) (+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x)))
(-.f64 x (+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))
(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x 99229/100000))))

Outputs
(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x 99229/100000))))

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
0.6b	1	`x`

Compiler

Compiled 89 to 62 computations (30.3% saved)

regimes10.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

Inputs
x
-230753/100000
(-.f64 x 27061/99229)
(-.f64 x 230753/100000)
(-.f64 (*.f64 30191289437/10000000000 x) 230753/100000)
(-.f64 x (/.f64 27061/4481 x))
(-.f64 x (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(-.f64 x (+.f64 230753/100000 (-.f64 (+.f64 1 (*.f64 -20191289437/10000000000 x)) 1)))
(-.f64 x (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)))
(+.f64 (/.f64 2019128943700000/977047873985989 (*.f64 x x)) (+.f64 (+.f64 x -27061/99229) (/.f64 -20191289437/9846394441 x)))
(-.f64 x (+.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) (/.f64 -2019128943700000/977047873985989 (*.f64 x x))))

Outputs
(-.f64 x 230753/100000)

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
0.7b	1	`x`

Compiler

Compiled 76 to 52 computations (31.6% saved)

regimes12.0ms (0.3%)

Counts

3 → 3

Calls

Call 1

Inputs
x
-230753/100000
(-.f64 x 27061/99229)

Outputs
x
-230753/100000
(-.f64 x 27061/99229)

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 8 to 5 computations (37.5% saved)

bsearch52.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	0.0014684735685288471	7.13659387610207
30.0ms	-27.95234177957094	-1.9082242844737576e-26

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes10.0ms (0.2%)

Accuracy

Total -61.2b remaining (-8655.1%)

Threshold costs -61.2b (-8655.1%)

Counts

2 → 3

Calls

Call 1

Inputs
x
-230753/100000

Outputs
x
-230753/100000
x

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch43.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	0.0014684735685288471	7.13659387610207
21.0ms	-27.95234177957094	-1.9082242844737576e-26

Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
9×	`*-commutative_binary64`
9×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	82
1	51	82
2	63	82
3	72	82
4	86	82
5	91	82
6	94	82
7	95	82

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x 99229/100000))))
(-.f64 x 230753/100000)
(if (<=.f64 x -7867884751413027/281474976710656) x (if (<=.f64 x 6772139024414657/4611686018427387904) -230753/100000 (-.f64 x 27061/99229)))
(if (<=.f64 x -7867884751413027/281474976710656) x (if (<=.f64 x 6772139024414657/4611686018427387904) -230753/100000 x))
x

Outputs
(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 (+.f64 99229/100000 (*.f64 x 4481/100000)) x))))
(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))))
(+.f64 x (/.f64 (+.f64 -230753/100000 (.f64 x -27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))))
(-.f64 x (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x 99229/100000))))
(+.f64 x (/.f64 (+.f64 -230753/100000 (.f64 x -27061/100000)) (+.f64 1 (.f64 x 99229/100000))))
(-.f64 x 230753/100000)
(+.f64 x -230753/100000)
(if (<=.f64 x -7867884751413027/281474976710656) x (if (<=.f64 x 6772139024414657/4611686018427387904) -230753/100000 (-.f64 x 27061/99229)))
(if (<=.f64 x -7867884751413027/281474976710656) x (if (<=.f64 x 6772139024414657/4611686018427387904) -230753/100000 (+.f64 x -27061/99229)))
(if (<=.f64 x -7867884751413027/281474976710656) x (if (<=.f64 x 6772139024414657/4611686018427387904) -230753/100000 x))
x

Compiler

Compiled 64 to 47 computations (26.6% saved)

soundness0.0ms (0%)

end48.0ms (1.1%)

Compiler: Compiled 59 to 42 computations (28.8% saved)

Iter	Nodes	Cost
0	9	69
1	19	69
2	30	69
3	47	69
4	63	69
5	88	69
6	135	69
7	188	69
8	245	69
9	328	69
10	461	69
11	486	69
12	504	69

Iter	Nodes	Cost
0	9	69
1	19	69
2	30	69
3	47	69
4	63	69
5	88	69
6	135	69
7	188	69
8	245	69
9	328	69
10	461	69
11	486	69
12	504	69

Details

analyze7.0ms (0.2%)

sample1.2s (27.2%)

preprocess97.0ms (2.2%)

simplify74.0ms (1.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize30.0ms (0.7%)

series8.0ms (0.2%)

rewrite93.0ms (2.1%)

simplify64.0ms (1.4%)

eval63.0ms (1.4%)

prune20.0ms (0.4%)

localize48.0ms (1.1%)

series4.0ms (0.1%)

rewrite78.0ms (1.7%)

simplify55.0ms (1.2%)

localize3.0ms (0.1%)

localize6.0ms (0.1%)

series2.0ms (0.1%)

rewrite69.0ms (1.5%)

simplify24.0ms (0.5%)

localize41.0ms (0.9%)

series3.0ms (0.1%)

rewrite91.0ms (2%)

simplify9.0ms (0.2%)

localize16.0ms (0.3%)

series5.0ms (0.1%)

rewrite105.0ms (2.3%)

simplify81.0ms (1.8%)

eval341.0ms (7.6%)

prune96.0ms (2.1%)

localize3.0ms (0.1%)

localize17.0ms (0.4%)

series29.0ms (0.7%)

rewrite131.0ms (2.9%)

simplify17.0ms (0.4%)

localize18.0ms (0.4%)

series5.0ms (0.1%)

rewrite138.0ms (3.1%)

simplify205.0ms (4.5%)

localize6.0ms (0.1%)

series3.0ms (0.1%)

rewrite69.0ms (1.5%)

simplify7.0ms (0.2%)

eval436.0ms (9.7%)

prune82.0ms (1.8%)

localize17.0ms (0.4%)

series4.0ms (0.1%)

rewrite119.0ms (2.6%)

simplify71.0ms (1.6%)

eval113.0ms (2.5%)

prune37.0ms (0.8%)

regimes19.0ms (0.4%)

regimes10.0ms (0.2%)

regimes10.0ms (0.2%)

regimes12.0ms (0.3%)

bsearch52.0ms (1.2%)

regimes10.0ms (0.2%)

bsearch43.0ms (0.9%)

simplify11.0ms (0.2%)

soundness0.0ms (0%)

end48.0ms (1.1%)

Profiling

Iter	Nodes	Cost
0	9	69
1	19	69
2	30	69
3	47	69
4	63	69
5	88	69
6	135	69
7	188	69
8	245	69
9	328	69
10	461	69
11	486	69
12	504	69