Details

analyze8.0ms (0.1%)

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 21 to 17 computations (19% saved)

sample1.1s (11%)

Results

1.1s

8256×

body

256

valid

preprocess83.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

706×	`fma-def_binary64`
684×	`fma-neg_binary64`
659×	`associate-/l*_binary64`
582×	`associate-/r*_binary64`
298×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	28
1	34	22
2	69	22
3	109	22
4	155	22
5	197	20
6	294	20
7	531	20
8	1160	20
9	2328	20
10	4870	20
11	6090	20
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (.f64 x 4481/100000))))) x))

Outputs

(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))

(*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))

(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

Compiler

Compiled 21 to 17 computations (19% saved)

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

706×	`fma-def_binary64`
684×	`fma-neg_binary64`
659×	`associate-/l*_binary64`
582×	`associate-/r*_binary64`
298×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	17	28
1	34	22
2	69	22
3	109	22
4	155	22
5	197	20
6	294	20
7	531	20
8	1160	20
9	2328	20
10	4870	20
11	6090	20

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (.f64 x 4481/100000))))) x))

Outputs

(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))

(*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))

(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

eval1.0ms (0%)

Compiler: Compiled 35 to 27 computations (22.9% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (.f64 x 4481/100000))))) x))
▶	0.1b	(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

Status

Error

Program

▶

0.1b

(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))

▶

0.1b

(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

Compiler

Compiled 36 to 28 computations (22.2% saved)

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (+.f64 99229/100000 (.f64 x 4481/100000)))
✓	0.3b	(*.f64 x 4481/100000)
✓	0.4b	(*.f64 x 27061/100000)
✓	16.6b	(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))

Compiler

Compiled 91 to 71 computations (22% saved)

series25.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	(*.f64 x 27061/100000)
2.0ms	x	@	-inf	(.f64 x (+.f64 99229/100000 (.f64 x 4481/100000)))
2.0ms	x	@	inf	(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))
1.0ms	x	@	inf	(.f64 x (+.f64 99229/100000 (.f64 x 4481/100000)))
1.0ms	x	@	0	(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))

rewrite135.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`prod-diff_binary64`
487×	`fma-def_binary64`
273×	`expm1-udef_binary64`
273×	`log1p-udef_binary64`
225×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	318	32
2	4288	32

Stop Event

1×	node limit

Counts

4 → 119

Calls

Call 1

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

Outputs
((#(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 (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 (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 (.f64 x (.f64 x 4481/100000)) (.f64 x 99229/100000))))) (#(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 (.f64 x 99229/100000) 1) (.f64 (.f64 x (.f64 x 4481/100000)) 1))))) (#(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 (pow.f64 (.f64 x 99229/100000) 3) (pow.f64 (.f64 x (.f64 x 4481/100000)) 3)) (fma.f64 (.f64 x 99229/100000) (.f64 x 99229/100000) (-.f64 (.f64 (.f64 x (.f64 x 4481/100000)) (.f64 x (.f64 x 4481/100000))) (.f64 (.f64 x 99229/100000) (.f64 x (.f64 x 4481/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x 99229/100000) (.f64 x 99229/100000)) (.f64 (.f64 x (.f64 x 4481/100000)) (.f64 x (.f64 x 4481/100000)))) (-.f64 (.f64 x 99229/100000) (.f64 x (.f64 x 4481/100000))))))) (#(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 log.f64 (.f64 (exp.f64 (.f64 x (.f64 x 4481/100000))) (exp.f64 (.f64 x 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 1 (.f64 x (.f64 x 4481/100000)) (.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 99229/100000) (.f64 x (.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 99229/100000 x (.f64 x (.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4481/100000 (.f64 x x) (.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 4481/100000) x (.f64 x 99229/100000))))) (#(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 (.f64 x x) 4481/100000 (.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 4481/100000)) (.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 99229/100000) (.f64 x (.f64 x 4481/100000)))))) (#(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 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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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 99229/100000) 1 (.f64 (.f64 x (.f64 x 4481/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x 4481/100000))) (cbrt.f64 (.f64 x (.f64 x 4481/100000)))) (cbrt.f64 (.f64 x (.f64 x 4481/100000))) (.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 x 99229/100000)) (cbrt.f64 (.f64 x 99229/100000))) (cbrt.f64 (.f64 x 99229/100000)) (.f64 x (.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x (.f64 x 4481/100000))) (sqrt.f64 (.f64 x (.f64 x 4481/100000))) (.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 99229/100000)) (sqrt.f64 (.f64 x 99229/100000)) (.f64 x (.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 4481/100000))) (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 4481/100000))) (.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 (.f64 x 4481/100000)) (sqrt.f64 x)) (.f64 (sqrt.f64 (.f64 x 4481/100000)) (sqrt.f64 x)) (.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (cbrt.f64 (pow.f64 (.f64 x 4481/100000) 2))) (cbrt.f64 (.f64 x 4481/100000)) (.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 (.f64 x 4481/100000))) (sqrt.f64 (.f64 x 4481/100000)) (.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x 4481/100000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x 4481/100000) (sqrt.f64 x)) (sqrt.f64 x) (.f64 x 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 99229/100000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x (.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 99229/100000 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (*.f64 x 4481/100000)))))))

simplify85.0ms (0.8%)

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

167 → 143

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))

localize49.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
✓	0.1b	(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
✓	0.2b	(fma.f64 x 4481/100000 99229/100000)
✓	16.6b	(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

Compiler

Compiled 50 to 38 computations (24% saved)

series9.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
1.0ms	x	@	inf	(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
1.0ms	x	@	-inf	(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
1.0ms	x	@	-inf	(fma.f64 x 4481/100000 99229/100000)
1.0ms	x	@	0	(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

rewrite138.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

573×	`unpow-prod-down_binary64`
488×	`log-prod_binary64`
317×	`pow2_binary64`
253×	`pow-prod-down_binary64`
223×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	267	46
2	2949	46

Stop Event

1×	node limit

Counts

4 → 166

Calls

Call 1

Inputs
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
(fma.f64 x 4481/100000 99229/100000)
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (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 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (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 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (/.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 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (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 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (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 1913510371/10000000000 16316775383/10000000000)) 2) (.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.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 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.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 1913510371/10000000000 16316775383/10000000000)) (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (pow.f64 (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 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 1913510371/10000000000 16316775383/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (pow.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (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 1913510371/10000000000 16316775383/10000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (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 (fma.f64 x 4481/100000 99229/100000) 1)) -2) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (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 1913510371/10000000000 16316775383/10000000000)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (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 1913510371/10000000000 16316775383/10000000000)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (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 1913510371/10000000000 16316775383/10000000000)) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) -2) 1) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) 1) (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) 1) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 1/3) (cbrt.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 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1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1))))))

simplify105.0ms (1%)

Algorithm

1×	egg-herbie

Rules

820×	`distribute-neg-frac_binary64`
511×	`fma-def_binary64`
417×	`times-frac_binary64`
400×	`distribute-rgt-neg-in_binary64`
290×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	470
1	147	436
2	343	432
3	901	420
4	2558	420
5	6287	420

Stop Event

1×	node limit

Counts

214 → 204

Calls

Call 1

Inputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(/.f64 1913510371/448100000 x)
(-.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1913510371/448100000 x)
(-.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
99229/100000
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(*.f64 4481/100000 x)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(*.f64 4481/100000 x)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
16316775383/10000000000
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(*.f64 1913510371/10000000000 x)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(*.f64 1913510371/10000000000 x)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(*.f64 -70711/100000 x)
(+.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 -70711/100000 x))
(-.f64 (+.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 -70711/100000 x))) (.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 -70711/100000 x))
(-.f64 (+.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 -70711/100000 x))) (.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))

Outputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (.f64 134362287316698645903/100000000000000000000 (.f64 x x)))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (.f64 x x) (.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (.f64 x (.f64 x 134362287316698645903/100000000000000000000))))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000))
(fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) 16316775383/10000000000))
(/.f64 1913510371/448100000 x)
(-.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 3648757816023/62748003125 x) x))
(-.f64 (+.f64 (.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x)) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (+.f64 (.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(-.f64 (+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (-.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(/.f64 1913510371/448100000 x)
(-.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 3648757816023/62748003125 x) x))
(-.f64 (+.f64 (.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x)) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (+.f64 (.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(-.f64 (+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (-.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
99229/100000
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
16316775383/10000000000
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(+.f64 (.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (.f64 134362287316698645903/100000000000000000000 (.f64 x x)))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (.f64 x x) (.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (.f64 x (.f64 x 134362287316698645903/100000000000000000000))) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) 16316775383/10000000000))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 -70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (+.f64 (.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 -70711/100000 x))) (.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (.f64 x -70711/100000))) (/.f64 3648757816023/62748003125 (.f64 x x)))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (fma.f64 x -70711/100000 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 -70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (+.f64 (.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 -70711/100000 x))) (.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (.f64 x -70711/100000))) (/.f64 3648757816023/62748003125 (.f64 x x)))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (fma.f64 x -70711/100000 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))

eval326.0ms (3.2%)

Compiler: Compiled 7780 to 6110 computations (21.5% saved)

prune58.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	339	8	347
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	340	9	349

Error

0.0b

Counts

349 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.5b	(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)
▶	32.0b	(*.f64 x -70711/100000)
	2.0b	(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 2) 3) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
	25.8b	(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
✓	0.1b	(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (.f64 x 4481/100000))))) x))
▶	23.4b	(/.f64 (+.f64 (.f64 (pow.f64 x 3) -353558218835431/1000000000000000) (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)) (+.f64 (pow.f64 (.f64 x -70711/100000) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (.f64 (.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
▶	0.6b	(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
▶	25.8b	(.f64 70711/100000 (-.f64 (+.f64 230753/100000 (.f64 -20191289437/10000000000 x)) x))
	25.8b	(fma.f64 x -70711/100000 (+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000))

Compiler

Compiled 344 to 274 computations (20.3% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x 99229/100000)
✓	0.1b	(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x 99229/100000)))
✓	0.1b	(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
	0.4b	(*.f64 x 27061/100000)

Compiler

Compiled 62 to 49 computations (21% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
1.0ms	x	@	inf	(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
1.0ms	x	@	0	(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
0.0ms	x	@	-inf	(*.f64 x 99229/100000)
0.0ms	x	@	inf	(*.f64 x 99229/100000)

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

988×	`prod-diff_binary64`
528×	`fma-def_binary64`
271×	`expm1-udef_binary64`
271×	`log1p-udef_binary64`
251×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	313	34
2	4174	34

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

Inputs

(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))

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

(*.f64 x 99229/100000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 70711/100000) (*.f64 (neg.f64 x) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 70711/100000 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) (*.f64 70711/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 3) (pow.f64 x 3)) 70711/100000) (fma.f64 x (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 2) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 2) (*.f64 x x))) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 5000045521/10000000000 (pow.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 70711/100000) (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 70711/100000 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) (*.f64 70711/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 70711/100000 (*.f64 (neg.f64 x) 70711/100000))))))

((#(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))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 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 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 (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 (/.f64 1 (cbrt.f64 (pow.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 (/.f64 1 (sqrt.f64 (fma.f64 x 99229/100000 1))) (/.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 (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 (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 (/.f64 (fma.f64 x 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 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 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 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 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 (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 (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 99229/100000) x))))) (#(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)))))

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

573×	`fma-def_binary64`
547×	`associate-/r/_binary64`
449×	`fma-neg_binary64`
427×	`associate-/r*_binary64`
422×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	61	320
1	158	304
2	362	301
3	940	288
4	2483	288
5	5176	284

Stop Event

1×	node limit

Counts

112 → 107

Calls

Call 1

Inputs
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (.f64 -2134856267379707/1000000000000000 x) (+.f64 (.f64 141673834365820945903/100000000000000000000 (pow.f64 x 2)) 16316775383/10000000000))
(+.f64 (.f64 -2134856267379707/1000000000000000 x) (+.f64 (.f64 141673834365820945903/100000000000000000000 (pow.f64 x 2)) (+.f64 16316775383/10000000000 (*.f64 -14058152910286046641008787/10000000000000000000000000 (pow.f64 x 3)))))
(*.f64 -70711/100000 x)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x)))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x)))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
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)

Outputs
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (.f64 -2134856267379707/1000000000000000 x) (+.f64 (.f64 141673834365820945903/100000000000000000000 (pow.f64 x 2)) 16316775383/10000000000))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 141673834365820945903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 x (*.f64 x 141673834365820945903/100000000000000000000) 16316775383/10000000000))
(fma.f64 x (fma.f64 x 141673834365820945903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (.f64 -2134856267379707/1000000000000000 x) (+.f64 (.f64 141673834365820945903/100000000000000000000 (pow.f64 x 2)) (+.f64 16316775383/10000000000 (*.f64 -14058152910286046641008787/10000000000000000000000000 (pow.f64 x 3)))))
(fma.f64 -2134856267379707/1000000000000000 x (+.f64 (fma.f64 141673834365820945903/100000000000000000000 (.f64 x x) 16316775383/10000000000) (.f64 -14058152910286046641008787/10000000000000000000000000 (pow.f64 x 3))))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 141673834365820945903/100000000000000000000 (*.f64 x x) (fma.f64 -14058152910286046641008787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 x (*.f64 x 141673834365820945903/100000000000000000000) (fma.f64 -14058152910286046641008787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 x (fma.f64 x 141673834365820945903/100000000000000000000 -2134856267379707/1000000000000000) (fma.f64 -14058152910286046641008787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000))
(fma.f64 (*.f64 x x) (fma.f64 x -14058152910286046641008787/10000000000000000000000000 141673834365820945903/100000000000000000000) (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 (*.f64 x -70711/100000) 1913510371/9922900000)
(fma.f64 x -70711/100000 1913510371/9922900000)
(+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 x -70711/100000) (/.f64 1427746267379707/984639444100000 x)))
(+.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (/.f64 1427746267379707/984639444100000 x))
(+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (.f64 x -70711/100000) (/.f64 1427746267379707/984639444100000 x))) (/.f64 1427746267379707/977047873985989 (.f64 x x)))
(-.f64 (+.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (/.f64 1427746267379707/984639444100000 x)) (/.f64 (/.f64 1427746267379707/977047873985989 x) x))
(+.f64 1913510371/9922900000 (+.f64 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)) (/.f64 -1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 (+.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (/.f64 1427746267379707/984639444100000 x)) (/.f64 -1427746267379707/977047873985989 (*.f64 x x)))
(+.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (+.f64 (/.f64 1427746267379707/984639444100000 x) (/.f64 (/.f64 -1427746267379707/977047873985989 x) x)))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 (*.f64 x -70711/100000) 1913510371/9922900000)
(fma.f64 x -70711/100000 1913510371/9922900000)
(+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 x -70711/100000) (/.f64 1427746267379707/984639444100000 x)))
(+.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (/.f64 1427746267379707/984639444100000 x))
(+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (.f64 x -70711/100000) (/.f64 1427746267379707/984639444100000 x))) (/.f64 1427746267379707/977047873985989 (.f64 x x)))
(-.f64 (+.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (/.f64 1427746267379707/984639444100000 x)) (/.f64 (/.f64 1427746267379707/977047873985989 x) x))
(+.f64 1913510371/9922900000 (+.f64 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)) (/.f64 -1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 (+.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (/.f64 1427746267379707/984639444100000 x)) (/.f64 -1427746267379707/977047873985989 (*.f64 x x)))
(+.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (+.f64 (/.f64 1427746267379707/984639444100000 x) (/.f64 (/.f64 -1427746267379707/977047873985989 x) x)))
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -20191289437/10000000000))
(fma.f64 x -20191289437/10000000000 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 x -20191289437/10000000000)))
(+.f64 (fma.f64 x -20191289437/10000000000 230753/100000) (.f64 x (.f64 x 2003561459544073/1000000000000000)))
(fma.f64 x -20191289437/10000000000 (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 x -20191289437/10000000000))))
(+.f64 (fma.f64 (.f64 x x) 2003561459544073/1000000000000000 (.f64 (pow.f64 x 3) -198811400069098819717/100000000000000000000)) (fma.f64 x -20191289437/10000000000 230753/100000))
(+.f64 230753/100000 (fma.f64 (pow.f64 x 3) -198811400069098819717/100000000000000000000 (.f64 x (+.f64 -20191289437/10000000000 (.f64 x 2003561459544073/1000000000000000)))))
(fma.f64 x (*.f64 x (fma.f64 x -198811400069098819717/100000000000000000000 2003561459544073/1000000000000000)) (fma.f64 x -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 -2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 27061/99229 (*.f64 (/.f64 1 x) (+.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 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 27061/99229 (-.f64 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3))) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (-.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (/.f64 -2019128943700000/977047873985989 (*.f64 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 -2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 27061/99229 (*.f64 (/.f64 1 x) (+.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 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 27061/99229 (-.f64 (+.f64 (/.f64 20191289437/9846394441 x) (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3))) (/.f64 2019128943700000/977047873985989 (*.f64 x x))))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (-.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))))
(+.f64 27061/99229 (+.f64 (/.f64 20191289437/9846394441 x) (+.f64 (/.f64 201912894370000000000/96951483487755702481 (pow.f64 x 3)) (/.f64 -2019128943700000/977047873985989 (*.f64 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)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x -70711/100000)

Compiler

Compiled 6 to 4 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 x -70711/100000)
1.0ms	x	@	inf	(*.f64 x -70711/100000)
1.0ms	x	@	-inf	(*.f64 x -70711/100000)

rewrite46.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 x -70711/100000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x -70711/100000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) -70711/200000)) (log.f64 (pow.f64 (exp.f64 x) -70711/200000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -70711/50000) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -70711/100000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -70711/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x -70711/100000)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x -70711/100000)) (+.f64 1 (*.f64 x -70711/100000))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x -70711/100000)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x -70711/100000)) (+.f64 1 (*.f64 x -70711/100000))) 1) (+.f64 (+.f64 1 (*.f64 x -70711/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -70711/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -70711/100000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x -70711/100000)))) (sqrt.f64 (log.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x -70711/100000))) 2)) (cbrt.f64 (log.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x -70711/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -70711/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x -70711/100000))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x -70711/100000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x -70711/100000))) 2))))))

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	5	48

Stop Event

1×

saturated

Counts

37 → 26

Calls

Call 1

Inputs
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)

Outputs
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
✓	0.1b	(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)
✓	0.1b	(.f64 70711/100000 (-.f64 (+.f64 230753/100000 (.f64 -20191289437/10000000000 x)) x))
✓	0.6b	(*.f64 -20191289437/10000000000 x)

Compiler

Compiled 29 to 22 computations (24.1% saved)

series4.0ms (0%)

Counts

4 → 27

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 -20191289437/10000000000 x)
0.0ms	x	@	inf	(.f64 70711/100000 (-.f64 (+.f64 230753/100000 (.f64 -20191289437/10000000000 x)) x))
0.0ms	x	@	inf	(*.f64 -20191289437/10000000000 x)
0.0ms	x	@	-inf	(*.f64 -20191289437/10000000000 x)
0.0ms	x	@	-inf	(.f64 70711/100000 (-.f64 (+.f64 230753/100000 (.f64 -20191289437/10000000000 x)) x))

rewrite122.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

833×	`prod-diff_binary64`
626×	`unpow-prod-down_binary64`
438×	`log-prod_binary64`
360×	`fma-def_binary64`
263×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	206	26
2	2773	22

Stop Event

1×	node limit

Counts

4 → 237

Calls

Call 1

Inputs
(*.f64 -20191289437/10000000000 x)
(.f64 70711/100000 (-.f64 (+.f64 230753/100000 (.f64 -20191289437/10000000000 x)) x))
(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -20191289437/10000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -20191289437/10000000000) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -20191289437/10000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -20191289437/10000000000) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -20191289437/10000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.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 (pow.f64 (.f64 -20191289437/10000000000 x) 2) 1/2)))) (#(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 (.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 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 log.f64 (+.f64 1 (expm1.f64 (.f64 -20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 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 exp.f64 (.f64 (log.f64 (*.f64 -20191289437/10000000000 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 70711/100000 (fma.f64 x -30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 16316775383/10000000000 (.f64 (.f64 x -30191289437/10000000000) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 16316775383/10000000000 (.f64 70711/100000 (.f64 x -30191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 70711/100000) (.f64 (neg.f64 x) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 70711/100000 (fma.f64 -20191289437/10000000000 x 230753/100000)) (.f64 70711/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 70711/100000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 70711/100000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 70711/100000 (fma.f64 x -30191289437/10000000000 230753/100000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3) (pow.f64 x 3)) 70711/100000) (fma.f64 x (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2) (.f64 x x)) 70711/100000) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 70711/100000 (-.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)) (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 70711/100000 (-.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2) (.f64 x x))) (+.f64 x (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 70711/100000 (fma.f64 x -30191289437/10000000000 230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 2) 5000045521/10000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 3) 353558218835431/1000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 70711/100000 (fma.f64 x -30191289437/10000000000 230753/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 70711/100000 (fma.f64 x -30191289437/10000000000 230753/100000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 2) 5000045521/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 70711/100000 (fma.f64 x -30191289437/10000000000 230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 3) 353558218835431/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 70711/100000 (fma.f64 x -30191289437/10000000000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 70711/100000 (fma.f64 x -30191289437/10000000000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 70711/100000 (fma.f64 x -30191289437/10000000000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 70711/100000 (fma.f64 x -30191289437/10000000000 230753/100000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 70711/100000 (fma.f64 -20191289437/10000000000 x 230753/100000) (.f64 70711/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 70711/100000 (*.f64 (neg.f64 x) 70711/100000))))))
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53246947009/10000000000 (pow.f64 (.f64 -20191289437/10000000000 x) 2)) (pow.f64 (/.f64 1 (+.f64 230753/100000 (.f64 20191289437/10000000000 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (fma.f64 -20191289437/10000000000 x 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) 2) 3) (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2) (cbrt.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2))) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2) (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 -20191289437/10000000000 x) (fma.f64 -20191289437/10000000000 x -230753/100000) 53246947009/10000000000) (fma.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3) 12286892763167777/1000000000000000)))))) (#(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 (fma.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3) 12286892763167777/1000000000000000) (fma.f64 (.f64 -20191289437/10000000000 x) (fma.f64 -20191289437/10000000000 x -230753/100000) 53246947009/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3) 12286892763167777/1000000000000000) (fma.f64 407688169128707776969/100000000000000000000 (.f64 x x) (-.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 (fma.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3) 12286892763167777/1000000000000000)) (neg.f64 (fma.f64 (.f64 -20191289437/10000000000 x) (fma.f64 -20191289437/10000000000 x -230753/100000) 53246947009/10000000000)))))) (#(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 (fma.f64 407688169128707776969/100000000000000000000 (.f64 x x) -53246947009/10000000000) (fma.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 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2) 1/2)))) (#(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 pow.f64 (/.f64 (fma.f64 (.f64 -20191289437/10000000000 x) (fma.f64 -20191289437/10000000000 x -230753/100000) 53246947009/10000000000) (fma.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3) 12286892763167777/1000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 230753/100000 (.f64 20191289437/10000000000 x)) (-.f64 53246947009/10000000000 (pow.f64 (.f64 -20191289437/10000000000 x) 2))) -1)))) (#(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 log.f64 (+.f64 1 (expm1.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 exp.f64 (.f64 (log.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 1))))) (#(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 (.f64 -20191289437/10000000000 x) 1 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 x) 2) (.f64 (cbrt.f64 x) -20191289437/10000000000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 -20191289437/10000000000 x)) (cbrt.f64 (pow.f64 (.f64 -20191289437/10000000000 x) 2)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.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 x) (.f64 (sqrt.f64 x) -20191289437/10000000000) 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)))) (#(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)))))

simplify28.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	135
1	18	117
2	21	117

Stop Event

1×

saturated

Counts

264 → 247

Calls

Call 1

Inputs
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
230753/100000
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(*.f64 -30191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(*.f64 -30191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
230753/100000
(*.f64 -20191289437/10000000000 x)
(*.f64 -20191289437/10000000000 x)

Outputs
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
230753/100000
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
(*.f64 -30191289437/10000000000 x)
(*.f64 x -30191289437/10000000000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
(*.f64 -30191289437/10000000000 x)
(*.f64 x -30191289437/10000000000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
230753/100000
(*.f64 -20191289437/10000000000 x)
(*.f64 x -20191289437/10000000000)
(*.f64 -20191289437/10000000000 x)
(*.f64 x -20191289437/10000000000)

localize81.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 x 4481/100000 99229/100000)
✓	0.2b	(cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
✓	1.1b	(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)
	16.6b	(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

Compiler

Compiled 85 to 65 computations (23.5% saved)

series20.0ms (0.2%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)
4.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)
4.0ms	x	@	inf	(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)
2.0ms	x	@	0	(cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
1.0ms	x	@	inf	(cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))

rewrite110.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`log-prod_binary64`
359×	`pow2_binary64`
306×	`pow-prod-down_binary64`
253×	`log1p-udef_binary64`
252×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	42
1	335	42
2	3454	42

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

Inputs

(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)

(cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -70711/100000) 1) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 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(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/6) (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 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4481/100000 99229/100000) 1)))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 1))))))

simplify97.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

482×	`fma-def_binary64`
402×	`associate-/l/_binary64`
382×	`associate-r_binary64`
373×	`associate-l_binary64`
251×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	615
1	284	605
2	989	536
3	5445	510

Stop Event

1×	node limit

Counts

90 → 96

Calls

Call 1

Inputs
16316775383/10000000000
(+.f64 16316775383/10000000000 (.f64 x (+.f64 (.f64 -2134856267379707/1500000000000000 (pow.f64 (.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4) 1) 1/3)) (.f64 -2134856267379707/3000000000000000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4) 1) 1/3)))))
(+.f64 16316775383/10000000000 (+.f64 (.f64 x (+.f64 (.f64 -2134856267379707/1500000000000000 (pow.f64 (.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4) 1) 1/3)) (.f64 -2134856267379707/3000000000000000 (pow.f64 (.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4) 1) 1/3)))) (.f64 (+.f64 (.f64 1/3 (-.f64 134362287316698645903/100000000000000000000 (.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3)))) (+.f64 (.f64 (cbrt.f64 16316775383/10000000000) (+.f64 (.f64 4557611282370415026291715405849/9000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 4)) 1/3)) (.f64 2/3 (/.f64 (-.f64 134362287316698645903/100000000000000000000 (.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))) (cbrt.f64 16316775383/10000000000))))) (*.f64 4557611282370415026291715405849/4500000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3)))) (pow.f64 x 2))))
(+.f64 16316775383/10000000000 (+.f64 (.f64 (+.f64 (.f64 1/3 (-.f64 (.f64 9729845010448944041464861582745334487291706243/27000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (+.f64 12692862305735843227608787/10000000000000000000000000 (.f64 -2134856267379707/1500000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)) 1/3) (-.f64 134362287316698645903/100000000000000000000 (.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3)))))))) (+.f64 (.f64 -2134856267379707/3000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) (+.f64 (.f64 4557611282370415026291715405849/9000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 4)) 1/3)) (.f64 2/3 (/.f64 (-.f64 134362287316698645903/100000000000000000000 (.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))) (cbrt.f64 16316775383/10000000000)))))) (+.f64 (.f64 (cbrt.f64 16316775383/10000000000) (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 9729845010448944041464861582745334487291706243/27000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (+.f64 12692862305735843227608787/10000000000000000000000000 (.f64 -2134856267379707/1500000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)) 1/3) (-.f64 134362287316698645903/100000000000000000000 (.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))))))) (cbrt.f64 16316775383/10000000000))) (.f64 -2134856267379707/4500000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 8)) 1/3) (-.f64 134362287316698645903/100000000000000000000 (.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))))))) (.f64 -2134856267379707/4500000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)) 1/3) (-.f64 134362287316698645903/100000000000000000000 (.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3)))))))) (pow.f64 x 3)) (+.f64 (.f64 x (+.f64 (.f64 -2134856267379707/1500000000000000 (pow.f64 (.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4) 1) 1/3)) (.f64 -2134856267379707/3000000000000000 (pow.f64 (.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4) 1) 1/3)))) (.f64 (+.f64 (.f64 1/3 (-.f64 134362287316698645903/100000000000000000000 (.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3)))) (+.f64 (.f64 (cbrt.f64 16316775383/10000000000) (+.f64 (.f64 4557611282370415026291715405849/9000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 4)) 1/3)) (.f64 2/3 (/.f64 (-.f64 134362287316698645903/100000000000000000000 (.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))) (cbrt.f64 16316775383/10000000000))))) (.f64 4557611282370415026291715405849/4500000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3)))) (pow.f64 x 2)))))
(cbrt.f64 16316775383/10000000000)
(+.f64 (cbrt.f64 16316775383/10000000000) (.f64 -2134856267379707/3000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) x)))
(+.f64 (cbrt.f64 16316775383/10000000000) (+.f64 (.f64 -2134856267379707/3000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) x)) (.f64 1/3 (/.f64 (.f64 (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))))
(+.f64 (cbrt.f64 16316775383/10000000000) (+.f64 (.f64 -2134856267379707/3000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) x)) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 134362287316698645903/100000000000000000000 (.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 9729845010448944041464861582745334487291706243/27000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (+.f64 12692862305735843227608787/10000000000000000000000000 (.f64 -2134856267379707/1500000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)) 1/3) (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))))))

Outputs
16316775383/10000000000
(+.f64 16316775383/10000000000 (.f64 x (+.f64 (.f64 -2134856267379707/1500000000000000 (pow.f64 (.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4) 1) 1/3)) (.f64 -2134856267379707/3000000000000000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4) 1) 1/3)))))
(+.f64 16316775383/10000000000 (.f64 x (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4)) -2134856267379707/1000000000000000)))
(fma.f64 x (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4)) -2134856267379707/1000000000000000) 16316775383/10000000000)
(fma.f64 x (.f64 (cbrt.f64 (.f64 16316775383/10000000000 (cbrt.f64 16316775383/10000000000))) -2134856267379707/1000000000000000) 16316775383/10000000000)
(+.f64 16316775383/10000000000 (+.f64 (.f64 x (+.f64 (.f64 -2134856267379707/1500000000000000 (pow.f64 (.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4) 1) 1/3)) (.f64 -2134856267379707/3000000000000000 (pow.f64 (.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4) 1) 1/3)))) (.f64 (+.f64 (.f64 1/3 (-.f64 134362287316698645903/100000000000000000000 (.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3)))) (+.f64 (.f64 (cbrt.f64 16316775383/10000000000) (+.f64 (.f64 4557611282370415026291715405849/9000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 4)) 1/3)) (.f64 2/3 (/.f64 (-.f64 134362287316698645903/100000000000000000000 (.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))) (cbrt.f64 16316775383/10000000000))))) (*.f64 4557611282370415026291715405849/4500000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3)))) (pow.f64 x 2))))
(+.f64 16316775383/10000000000 (fma.f64 x (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4)) -2134856267379707/1000000000000000) (.f64 (fma.f64 1/3 (+.f64 134362287316698645903/100000000000000000000 (.f64 -4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (fma.f64 (cbrt.f64 16316775383/10000000000) (fma.f64 4557611282370415026291715405849/9000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 4))) (.f64 2/3 (/.f64 (+.f64 134362287316698645903/100000000000000000000 (.f64 -4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (cbrt.f64 16316775383/10000000000)))) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) 4557611282370415026291715405849/4500000000000000000000000000000))) (*.f64 x x))))
(+.f64 16316775383/10000000000 (fma.f64 (fma.f64 1/3 (-.f64 134362287316698645903/100000000000000000000 (.f64 4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (fma.f64 (cbrt.f64 16316775383/10000000000) (fma.f64 4557611282370415026291715405849/9000000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 4))) (.f64 2/3 (/.f64 (-.f64 134362287316698645903/100000000000000000000 (.f64 4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (cbrt.f64 16316775383/10000000000)))) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) 4557611282370415026291715405849/4500000000000000000000000000000))) (.f64 x x) (.f64 x (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 4)) -2134856267379707/1000000000000000))))
(fma.f64 x (.f64 (cbrt.f64 (.f64 16316775383/10000000000 (cbrt.f64 16316775383/10000000000))) -2134856267379707/1000000000000000) (fma.f64 x (.f64 x (fma.f64 (cbrt.f64 16316775383/10000000000) (fma.f64 4557611282370415026291715405849/9000000000000000000000000000000 (cbrt.f64 (/.f64 10000000000/16316775383 (cbrt.f64 16316775383/10000000000))) (/.f64 (+.f64 44787429105566215301/50000000000000000000 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/4500000000000000000000000000000)) (cbrt.f64 16316775383/10000000000))) (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) 4557611282370415026291715405849/4500000000000000000000000000000 (+.f64 44787429105566215301/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/9000000000000000000000000000000))))) 16316775383/10000000000))
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(+.f64 (cbrt.f64 16316775383/10000000000) (+.f64 (.f64 -2134856267379707/3000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) x)) (.f64 1/3 (/.f64 (.f64 (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))))
(+.f64 (cbrt.f64 16316775383/10000000000) (fma.f64 -2134856267379707/3000000000000000 (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (.f64 1/3 (/.f64 (+.f64 134362287316698645903/100000000000000000000 (.f64 -4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (/.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (.f64 x x))))))
(+.f64 (cbrt.f64 16316775383/10000000000) (fma.f64 1/3 (.f64 (/.f64 (-.f64 134362287316698645903/100000000000000000000 (.f64 4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (.f64 x x)) (.f64 x (*.f64 -2134856267379707/3000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))))))
(fma.f64 x (.f64 -2134856267379707/3000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (fma.f64 1/3 (.f64 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000 134362287316698645903/100000000000000000000) (/.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) x)) x) (cbrt.f64 16316775383/10000000000)))
(fma.f64 x (.f64 -2134856267379707/3000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (fma.f64 1/3 (.f64 x (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000 134362287316698645903/100000000000000000000) (/.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) x))) (cbrt.f64 16316775383/10000000000)))
(+.f64 (cbrt.f64 16316775383/10000000000) (+.f64 (.f64 -2134856267379707/3000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 1/3) x)) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 134362287316698645903/100000000000000000000 (.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 9729845010448944041464861582745334487291706243/27000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2))) (+.f64 12692862305735843227608787/10000000000000000000000000 (.f64 -2134856267379707/1500000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)) 1/3) (-.f64 134362287316698645903/100000000000000000000 (*.f64 4557611282370415026291715405849/3000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000)) 1/3))))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 16316775383/10000000000) 2))))))
(+.f64 (cbrt.f64 16316775383/10000000000) (fma.f64 -2134856267379707/3000000000000000 (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (.f64 1/3 (+.f64 (/.f64 (+.f64 134362287316698645903/100000000000000000000 (.f64 -4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (/.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (.f64 x x))) (/.f64 (-.f64 (-.f64 (/.f64 9729845010448944041464861582745334487291706243/27000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) 12692862305735843227608787/10000000000000000000000000) (.f64 (.f64 -2134856267379707/1500000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)))) (+.f64 134362287316698645903/100000000000000000000 (*.f64 -4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))))) (/.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) (pow.f64 x 3)))))))
(+.f64 (cbrt.f64 16316775383/10000000000) (fma.f64 1/3 (+.f64 (.f64 (/.f64 (-.f64 134362287316698645903/100000000000000000000 (.f64 4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (.f64 x x)) (.f64 (/.f64 (-.f64 (/.f64 9729845010448944041464861582745334487291706243/27000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (fma.f64 -2134856267379707/1500000000000000 (.f64 (-.f64 134362287316698645903/100000000000000000000 (.f64 4557611282370415026291715405849/3000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)))) 12692862305735843227608787/10000000000000000000000000)) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (pow.f64 x 3))) (.f64 x (.f64 -2134856267379707/3000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))))))
(fma.f64 1/3 (fma.f64 (-.f64 137600161367381935504587144613219081717013/623033100000000000000000000000000000000000 (/.f64 (fma.f64 -2134856267379707/1500000000000000 (.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000 134362287316698645903/100000000000000000000) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)))) 12692862305735843227608787/10000000000000000000000000) (cbrt.f64 16316775383/10000000000))) (/.f64 (pow.f64 x 3) (cbrt.f64 16316775383/10000000000)) (.f64 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000 134362287316698645903/100000000000000000000) (/.f64 (pow.f64 (cbrt.f64 16316775383/10000000000) 2) x)) x)) (fma.f64 x (*.f64 -2134856267379707/3000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (cbrt.f64 16316775383/10000000000)))
(fma.f64 1/3 (.f64 (.f64 x x) (+.f64 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000 134362287316698645903/100000000000000000000) (pow.f64 (cbrt.f64 16316775383/10000000000) 2)) (.f64 (/.f64 (-.f64 137600161367381935504587144613219081717013/623033100000000000000000000000000000000000 (/.f64 (fma.f64 -2134856267379707/1500000000000000 (.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 16316775383/10000000000))) -4557611282370415026291715405849/3000000000000000000000000000000 134362287316698645903/100000000000000000000) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 5)))) 12692862305735843227608787/10000000000000000000000000) (cbrt.f64 16316775383/10000000000))) (cbrt.f64 16316775383/10000000000)) x))) (fma.f64 x (*.f64 -2134856267379707/3000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 16316775383/10000000000) 2)))) (cbrt.f64 16316775383/10000000000)))

localize219.0ms (2.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)
	16.6b	(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
✓	17.1b	(/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000))
✓	21.8b	(/.f64 (+.f64 (.f64 (pow.f64 x 3) -353558218835431/1000000000000000) (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)) (+.f64 (pow.f64 (.f64 x -70711/100000) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (.f64 (.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))

Compiler

Compiled 257 to 201 computations (21.8% saved)

series14.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/.f64 (+.f64 (.f64 (pow.f64 x 3) -353558218835431/1000000000000000) (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)) (+.f64 (pow.f64 (.f64 x -70711/100000) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (.f64 (.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
2.0ms	x	@	0	(/.f64 (+.f64 (.f64 (pow.f64 x 3) -353558218835431/1000000000000000) (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)) (+.f64 (pow.f64 (.f64 x -70711/100000) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (.f64 (.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
1.0ms	x	@	-inf	(/.f64 (+.f64 (.f64 (pow.f64 x 3) -353558218835431/1000000000000000) (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)) (+.f64 (pow.f64 (.f64 x -70711/100000) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (.f64 (.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
1.0ms	x	@	inf	(pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)
1.0ms	x	@	-inf	(pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)

rewrite118.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

303×	`add-sqr-sqrt_binary64`
288×	`add-log-exp_binary64`
288×	`log1p-expm1-u_binary64`
288×	`expm1-log1p-u_binary64`
287×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	115
1	634	110

Stop Event

1×	node limit

Counts

3 → 86

Calls

Call 1

Inputs

(/.f64 (+.f64 (*.f64 (pow.f64 x 3) -353558218835431/1000000000000000) (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)) (+.f64 (pow.f64 (*.f64 x -70711/100000) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))

(/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000))

(pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 3) -353558218835431/1000000000000000 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)) (fma.f64 (*.f64 x x) 5000045521/10000000000 (*.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (-.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 x -70711/100000))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (pow.f64 x 3) -353558218835431/1000000000000000 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)) (fma.f64 (*.f64 x x) 5000045521/10000000000 (*.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (-.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 x -70711/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) -353558218835431/1000000000000000 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)) (/.f64 1 (fma.f64 (*.f64 x x) 5000045521/10000000000 (*.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (-.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 x -70711/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 x 3) -353558218835431/1000000000000000 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)) (fma.f64 (*.f64 x x) 5000045521/10000000000 (*.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (-.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 x -70711/100000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -353558218835431/1000000000000000 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3))) 2) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) -353558218835431/1000000000000000 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3))) (/.f64 1 (fma.f64 (*.f64 x x) 5000045521/10000000000 (*.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (-.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 x -70711/100000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) -353558218835431/1000000000000000 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)) (fma.f64 (*.f64 x x) 5000045521/10000000000 (*.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (-.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 x -70711/100000)))))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) -353558218835431/1000000000000000 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)) (fma.f64 (*.f64 x x) 5000045521/10000000000 (*.f64 (/.f64 (fma.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -6)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3/2) (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -3) (pow.f64 (/.f64 1 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000))) 2) -3) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000))) -3) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -3 (log.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3 (log.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)))) 1))))))

simplify98.0ms (1%)

Algorithm

1×	egg-herbie

Rules

865×	`fma-def_binary64`
518×	`fma-neg_binary64`
492×	`unswap-sqr_binary64`
437×	`cancel-sign-sub-inv_binary64`
434×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	505
1	233	475
2	589	465
3	1616	447
4	5186	447

Stop Event

1×	node limit

Counts

122 → 130

Calls

Call 1

Inputs
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(*.f64 -70711/100000 x)
(+.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 -70711/100000 x))
(-.f64 (+.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 -70711/100000 x))) (.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 -70711/100000 x))
(-.f64 (+.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 -70711/100000 x))) (.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
10000000000/16316775383
(+.f64 10000000000/16316775383 (*.f64 2019128943700000/3765144869953399 x))
(+.f64 10000000000/16316775383 (+.f64 (.f64 2019128943700000/3765144869953399 x) (.f64 -992893270668800000/28026402392785699337 (pow.f64 x 2))))
(+.f64 (.f64 26868684797568396800000/6467176431342478479110761 (pow.f64 x 3)) (+.f64 10000000000/16316775383 (+.f64 (.f64 2019128943700000/3765144869953399 x) (*.f64 -992893270668800000/28026402392785699337 (pow.f64 x 2)))))
(*.f64 448100000/1913510371 x)
(+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x))
(-.f64 (+.f64 165123177600000/51781504149631 (.f64 448100000/1913510371 x)) (.f64 992893270668800000/45201912380424661 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 229113100886637606400000/1223208950926671751321 (/.f64 1 (pow.f64 x 2))) (+.f64 165123177600000/51781504149631 (.f64 448100000/1913510371 x))) (*.f64 992893270668800000/45201912380424661 (/.f64 1 x)))
(*.f64 448100000/1913510371 x)
(+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x))
(-.f64 (+.f64 165123177600000/51781504149631 (.f64 448100000/1913510371 x)) (.f64 992893270668800000/45201912380424661 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 229113100886637606400000/1223208950926671751321 (/.f64 1 (pow.f64 x 2))) (+.f64 165123177600000/51781504149631 (.f64 448100000/1913510371 x))) (*.f64 992893270668800000/45201912380424661 (/.f64 1 x)))
4344131920367546379167405106887/1000000000000000000000000000000
(+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (*.f64 -1140357329568652598622211935568170369/100000000000000000000000000000000000 x))
(+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (+.f64 (.f64 103549976791665333152209907382421117845501/5000000000000000000000000000000000000000 (pow.f64 x 2)) (.f64 -1140357329568652598622211935568170369/100000000000000000000000000000000000 x)))
(+.f64 (.f64 -3182913412027524219977370767487870071549626243/100000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (+.f64 (.f64 103549976791665333152209907382421117845501/5000000000000000000000000000000000000000 (pow.f64 x 2)) (*.f64 -1140357329568652598622211935568170369/100000000000000000000000000000000000 x))))
(/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3))
(-.f64 (.f64 7006360205689680003640794811/89975616641000000000000000 (/.f64 1 (pow.f64 x 3))) (.f64 40080020390518281442678610645229/12599398067760031250000000000 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 306420264185795885953352054200146609/2822895137081635001562500000000 (/.f64 1 (pow.f64 x 5))) (.f64 7006360205689680003640794811/89975616641000000000000000 (/.f64 1 (pow.f64 x 3)))) (*.f64 40080020390518281442678610645229/12599398067760031250000000000 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 306420264185795885953352054200146609/2822895137081635001562500000000 (/.f64 1 (pow.f64 x 5))) (.f64 7006360205689680003640794811/89975616641000000000000000 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 40080020390518281442678610645229/12599398067760031250000000000 (/.f64 1 (pow.f64 x 4))) (.f64 211664374981930963892132718147710768653521/63246965546314032210007812500000000 (/.f64 1 (pow.f64 x 6)))))
(/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3))
(-.f64 (.f64 7006360205689680003640794811/89975616641000000000000000 (/.f64 1 (pow.f64 x 3))) (.f64 40080020390518281442678610645229/12599398067760031250000000000 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 306420264185795885953352054200146609/2822895137081635001562500000000 (/.f64 1 (pow.f64 x 5))) (.f64 7006360205689680003640794811/89975616641000000000000000 (/.f64 1 (pow.f64 x 3)))) (*.f64 40080020390518281442678610645229/12599398067760031250000000000 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 306420264185795885953352054200146609/2822895137081635001562500000000 (/.f64 1 (pow.f64 x 5))) (.f64 7006360205689680003640794811/89975616641000000000000000 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 40080020390518281442678610645229/12599398067760031250000000000 (/.f64 1 (pow.f64 x 4))) (.f64 211664374981930963892132718147710768653521/63246965546314032210007812500000000 (/.f64 1 (pow.f64 x 6)))))

Outputs
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (.f64 134362287316698645903/100000000000000000000 (.f64 x x)))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (.f64 x x) (.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (.f64 x (.f64 x 134362287316698645903/100000000000000000000))))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 -70711/100000 x))
(+.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 x -70711/100000) (/.f64 1913510371/448100000 x)) (/.f64 3648757816023/62748003125 (.f64 x x)))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(-.f64 (+.f64 (.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 -70711/100000 x))) (.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (+.f64 (.f64 x -70711/100000) (/.f64 1913510371/448100000 x)) (/.f64 3648757816023/62748003125 (.f64 x x))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x))))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 -70711/100000 x))
(+.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 x -70711/100000) (/.f64 1913510371/448100000 x)) (/.f64 3648757816023/62748003125 (.f64 x x)))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(-.f64 (+.f64 (.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1913510371/448100000 (/.f64 1 x)) (.f64 -70711/100000 x))) (.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (+.f64 (.f64 x -70711/100000) (/.f64 1913510371/448100000 x)) (/.f64 3648757816023/62748003125 (.f64 x x))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x))))
10000000000/16316775383
(+.f64 10000000000/16316775383 (*.f64 2019128943700000/3765144869953399 x))
(+.f64 10000000000/16316775383 (*.f64 x 2019128943700000/3765144869953399))
(fma.f64 x 2019128943700000/3765144869953399 10000000000/16316775383)
(+.f64 10000000000/16316775383 (+.f64 (.f64 2019128943700000/3765144869953399 x) (.f64 -992893270668800000/28026402392785699337 (pow.f64 x 2))))
(+.f64 10000000000/16316775383 (fma.f64 2019128943700000/3765144869953399 x (.f64 (.f64 x x) -992893270668800000/28026402392785699337)))
(+.f64 (fma.f64 x 2019128943700000/3765144869953399 10000000000/16316775383) (.f64 x (.f64 x -992893270668800000/28026402392785699337)))
(fma.f64 x 2019128943700000/3765144869953399 (fma.f64 (*.f64 x x) -992893270668800000/28026402392785699337 10000000000/16316775383))
(fma.f64 x (fma.f64 x -992893270668800000/28026402392785699337 2019128943700000/3765144869953399) 10000000000/16316775383)
(+.f64 (.f64 26868684797568396800000/6467176431342478479110761 (pow.f64 x 3)) (+.f64 10000000000/16316775383 (+.f64 (.f64 2019128943700000/3765144869953399 x) (*.f64 -992893270668800000/28026402392785699337 (pow.f64 x 2)))))
(fma.f64 26868684797568396800000/6467176431342478479110761 (pow.f64 x 3) (+.f64 10000000000/16316775383 (fma.f64 2019128943700000/3765144869953399 x (.f64 (.f64 x x) -992893270668800000/28026402392785699337))))
(+.f64 (fma.f64 x 2019128943700000/3765144869953399 (.f64 x (.f64 x -992893270668800000/28026402392785699337))) (fma.f64 (pow.f64 x 3) 26868684797568396800000/6467176431342478479110761 10000000000/16316775383))
(fma.f64 (pow.f64 x 3) 26868684797568396800000/6467176431342478479110761 (fma.f64 x 2019128943700000/3765144869953399 (fma.f64 (*.f64 x x) -992893270668800000/28026402392785699337 10000000000/16316775383)))
(fma.f64 x (fma.f64 x -992893270668800000/28026402392785699337 2019128943700000/3765144869953399) (fma.f64 (pow.f64 x 3) 26868684797568396800000/6467176431342478479110761 10000000000/16316775383))
(*.f64 448100000/1913510371 x)
(*.f64 x 448100000/1913510371)
(+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x))
(+.f64 (*.f64 x 448100000/1913510371) 165123177600000/51781504149631)
(fma.f64 x 448100000/1913510371 165123177600000/51781504149631)
(-.f64 (+.f64 165123177600000/51781504149631 (.f64 448100000/1913510371 x)) (.f64 992893270668800000/45201912380424661 (/.f64 1 x)))
(+.f64 165123177600000/51781504149631 (-.f64 (*.f64 x 448100000/1913510371) (/.f64 992893270668800000/45201912380424661 x)))
(+.f64 165123177600000/51781504149631 (fma.f64 x 448100000/1913510371 (/.f64 -992893270668800000/45201912380424661 x)))
(-.f64 (+.f64 (.f64 229113100886637606400000/1223208950926671751321 (/.f64 1 (pow.f64 x 2))) (+.f64 165123177600000/51781504149631 (.f64 448100000/1913510371 x))) (*.f64 992893270668800000/45201912380424661 (/.f64 1 x)))
(+.f64 (/.f64 229113100886637606400000/1223208950926671751321 (.f64 x x)) (+.f64 165123177600000/51781504149631 (-.f64 (.f64 x 448100000/1913510371) (/.f64 992893270668800000/45201912380424661 x))))
(+.f64 (fma.f64 x 448100000/1913510371 165123177600000/51781504149631) (-.f64 (/.f64 (/.f64 229113100886637606400000/1223208950926671751321 x) x) (/.f64 992893270668800000/45201912380424661 x)))
(-.f64 (fma.f64 x 448100000/1913510371 165123177600000/51781504149631) (-.f64 (/.f64 992893270668800000/45201912380424661 x) (/.f64 229113100886637606400000/1223208950926671751321 (*.f64 x x))))
(*.f64 448100000/1913510371 x)
(*.f64 x 448100000/1913510371)
(+.f64 165123177600000/51781504149631 (*.f64 448100000/1913510371 x))
(+.f64 (*.f64 x 448100000/1913510371) 165123177600000/51781504149631)
(fma.f64 x 448100000/1913510371 165123177600000/51781504149631)
(-.f64 (+.f64 165123177600000/51781504149631 (.f64 448100000/1913510371 x)) (.f64 992893270668800000/45201912380424661 (/.f64 1 x)))
(+.f64 165123177600000/51781504149631 (-.f64 (*.f64 x 448100000/1913510371) (/.f64 992893270668800000/45201912380424661 x)))
(+.f64 165123177600000/51781504149631 (fma.f64 x 448100000/1913510371 (/.f64 -992893270668800000/45201912380424661 x)))
(-.f64 (+.f64 (.f64 229113100886637606400000/1223208950926671751321 (/.f64 1 (pow.f64 x 2))) (+.f64 165123177600000/51781504149631 (.f64 448100000/1913510371 x))) (*.f64 992893270668800000/45201912380424661 (/.f64 1 x)))
(+.f64 (/.f64 229113100886637606400000/1223208950926671751321 (.f64 x x)) (+.f64 165123177600000/51781504149631 (-.f64 (.f64 x 448100000/1913510371) (/.f64 992893270668800000/45201912380424661 x))))
(+.f64 (fma.f64 x 448100000/1913510371 165123177600000/51781504149631) (-.f64 (/.f64 (/.f64 229113100886637606400000/1223208950926671751321 x) x) (/.f64 992893270668800000/45201912380424661 x)))
(-.f64 (fma.f64 x 448100000/1913510371 165123177600000/51781504149631) (-.f64 (/.f64 992893270668800000/45201912380424661 x) (/.f64 229113100886637606400000/1223208950926671751321 (*.f64 x x))))
4344131920367546379167405106887/1000000000000000000000000000000
(+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (*.f64 -1140357329568652598622211935568170369/100000000000000000000000000000000000 x))
(+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (*.f64 x -1140357329568652598622211935568170369/100000000000000000000000000000000000))
(fma.f64 x -1140357329568652598622211935568170369/100000000000000000000000000000000000 4344131920367546379167405106887/1000000000000000000000000000000)
(+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (+.f64 (.f64 103549976791665333152209907382421117845501/5000000000000000000000000000000000000000 (pow.f64 x 2)) (.f64 -1140357329568652598622211935568170369/100000000000000000000000000000000000 x)))
(+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (fma.f64 103549976791665333152209907382421117845501/5000000000000000000000000000000000000000 (.f64 x x) (.f64 x -1140357329568652598622211935568170369/100000000000000000000000000000000000)))
(+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (fma.f64 (.f64 x x) 103549976791665333152209907382421117845501/5000000000000000000000000000000000000000 (.f64 x -1140357329568652598622211935568170369/100000000000000000000000000000000000)))
(fma.f64 x -1140357329568652598622211935568170369/100000000000000000000000000000000000 (fma.f64 x (*.f64 x 103549976791665333152209907382421117845501/5000000000000000000000000000000000000000) 4344131920367546379167405106887/1000000000000000000000000000000))
(fma.f64 x (fma.f64 x 103549976791665333152209907382421117845501/5000000000000000000000000000000000000000 -1140357329568652598622211935568170369/100000000000000000000000000000000000) 4344131920367546379167405106887/1000000000000000000000000000000)
(+.f64 (.f64 -3182913412027524219977370767487870071549626243/100000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (+.f64 (.f64 103549976791665333152209907382421117845501/5000000000000000000000000000000000000000 (pow.f64 x 2)) (*.f64 -1140357329568652598622211935568170369/100000000000000000000000000000000000 x))))
(fma.f64 -3182913412027524219977370767487870071549626243/100000000000000000000000000000000000000000000 (pow.f64 x 3) (+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (fma.f64 103549976791665333152209907382421117845501/5000000000000000000000000000000000000000 (.f64 x x) (.f64 x -1140357329568652598622211935568170369/100000000000000000000000000000000000))))
(+.f64 (fma.f64 (.f64 x x) 103549976791665333152209907382421117845501/5000000000000000000000000000000000000000 (.f64 x -1140357329568652598622211935568170369/100000000000000000000000000000000000)) (fma.f64 (pow.f64 x 3) -3182913412027524219977370767487870071549626243/100000000000000000000000000000000000000000000 4344131920367546379167405106887/1000000000000000000000000000000))
(fma.f64 (pow.f64 x 3) -3182913412027524219977370767487870071549626243/100000000000000000000000000000000000000000000 (fma.f64 x -1140357329568652598622211935568170369/100000000000000000000000000000000000 (fma.f64 x (*.f64 x 103549976791665333152209907382421117845501/5000000000000000000000000000000000000000) 4344131920367546379167405106887/1000000000000000000000000000000)))
(fma.f64 x (fma.f64 x 103549976791665333152209907382421117845501/5000000000000000000000000000000000000000 -1140357329568652598622211935568170369/100000000000000000000000000000000000) (fma.f64 (pow.f64 x 3) -3182913412027524219977370767487870071549626243/100000000000000000000000000000000000000000000 4344131920367546379167405106887/1000000000000000000000000000000))
(/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3))
(-.f64 (.f64 7006360205689680003640794811/89975616641000000000000000 (/.f64 1 (pow.f64 x 3))) (.f64 40080020390518281442678610645229/12599398067760031250000000000 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) (/.f64 40080020390518281442678610645229/12599398067760031250000000000 (pow.f64 x 4)))
(+.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) (/.f64 -40080020390518281442678610645229/12599398067760031250000000000 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 306420264185795885953352054200146609/2822895137081635001562500000000 (/.f64 1 (pow.f64 x 5))) (.f64 7006360205689680003640794811/89975616641000000000000000 (/.f64 1 (pow.f64 x 3)))) (*.f64 40080020390518281442678610645229/12599398067760031250000000000 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 306420264185795885953352054200146609/2822895137081635001562500000000 (pow.f64 x 5)) (-.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) (/.f64 40080020390518281442678610645229/12599398067760031250000000000 (pow.f64 x 4))))
(+.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) (-.f64 (/.f64 306420264185795885953352054200146609/2822895137081635001562500000000 (pow.f64 x 5)) (/.f64 40080020390518281442678610645229/12599398067760031250000000000 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) (/.f64 -40080020390518281442678610645229/12599398067760031250000000000 (pow.f64 x 4))) (/.f64 306420264185795885953352054200146609/2822895137081635001562500000000 (pow.f64 x 5)))
(-.f64 (+.f64 (.f64 306420264185795885953352054200146609/2822895137081635001562500000000 (/.f64 1 (pow.f64 x 5))) (.f64 7006360205689680003640794811/89975616641000000000000000 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 40080020390518281442678610645229/12599398067760031250000000000 (/.f64 1 (pow.f64 x 4))) (.f64 211664374981930963892132718147710768653521/63246965546314032210007812500000000 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 306420264185795885953352054200146609/2822895137081635001562500000000 (pow.f64 x 5)) (-.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) (+.f64 (/.f64 40080020390518281442678610645229/12599398067760031250000000000 (pow.f64 x 4)) (/.f64 211664374981930963892132718147710768653521/63246965546314032210007812500000000 (pow.f64 x 6)))))
(+.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) (-.f64 (/.f64 306420264185795885953352054200146609/2822895137081635001562500000000 (pow.f64 x 5)) (+.f64 (/.f64 40080020390518281442678610645229/12599398067760031250000000000 (pow.f64 x 4)) (/.f64 211664374981930963892132718147710768653521/63246965546314032210007812500000000 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) (/.f64 -40080020390518281442678610645229/12599398067760031250000000000 (pow.f64 x 4))) (-.f64 (/.f64 306420264185795885953352054200146609/2822895137081635001562500000000 (pow.f64 x 5)) (/.f64 211664374981930963892132718147710768653521/63246965546314032210007812500000000 (pow.f64 x 6))))
(+.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) (+.f64 (/.f64 306420264185795885953352054200146609/2822895137081635001562500000000 (pow.f64 x 5)) (-.f64 (/.f64 -40080020390518281442678610645229/12599398067760031250000000000 (pow.f64 x 4)) (/.f64 211664374981930963892132718147710768653521/63246965546314032210007812500000000 (pow.f64 x 6)))))
(/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3))
(-.f64 (.f64 7006360205689680003640794811/89975616641000000000000000 (/.f64 1 (pow.f64 x 3))) (.f64 40080020390518281442678610645229/12599398067760031250000000000 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) (/.f64 40080020390518281442678610645229/12599398067760031250000000000 (pow.f64 x 4)))
(+.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) (/.f64 -40080020390518281442678610645229/12599398067760031250000000000 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 306420264185795885953352054200146609/2822895137081635001562500000000 (/.f64 1 (pow.f64 x 5))) (.f64 7006360205689680003640794811/89975616641000000000000000 (/.f64 1 (pow.f64 x 3)))) (*.f64 40080020390518281442678610645229/12599398067760031250000000000 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 306420264185795885953352054200146609/2822895137081635001562500000000 (pow.f64 x 5)) (-.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) (/.f64 40080020390518281442678610645229/12599398067760031250000000000 (pow.f64 x 4))))
(+.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) (-.f64 (/.f64 306420264185795885953352054200146609/2822895137081635001562500000000 (pow.f64 x 5)) (/.f64 40080020390518281442678610645229/12599398067760031250000000000 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) (/.f64 -40080020390518281442678610645229/12599398067760031250000000000 (pow.f64 x 4))) (/.f64 306420264185795885953352054200146609/2822895137081635001562500000000 (pow.f64 x 5)))
(-.f64 (+.f64 (.f64 306420264185795885953352054200146609/2822895137081635001562500000000 (/.f64 1 (pow.f64 x 5))) (.f64 7006360205689680003640794811/89975616641000000000000000 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 40080020390518281442678610645229/12599398067760031250000000000 (/.f64 1 (pow.f64 x 4))) (.f64 211664374981930963892132718147710768653521/63246965546314032210007812500000000 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 306420264185795885953352054200146609/2822895137081635001562500000000 (pow.f64 x 5)) (-.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) (+.f64 (/.f64 40080020390518281442678610645229/12599398067760031250000000000 (pow.f64 x 4)) (/.f64 211664374981930963892132718147710768653521/63246965546314032210007812500000000 (pow.f64 x 6)))))
(+.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) (-.f64 (/.f64 306420264185795885953352054200146609/2822895137081635001562500000000 (pow.f64 x 5)) (+.f64 (/.f64 40080020390518281442678610645229/12599398067760031250000000000 (pow.f64 x 4)) (/.f64 211664374981930963892132718147710768653521/63246965546314032210007812500000000 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) (/.f64 -40080020390518281442678610645229/12599398067760031250000000000 (pow.f64 x 4))) (-.f64 (/.f64 306420264185795885953352054200146609/2822895137081635001562500000000 (pow.f64 x 5)) (/.f64 211664374981930963892132718147710768653521/63246965546314032210007812500000000 (pow.f64 x 6))))
(+.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) (+.f64 (/.f64 306420264185795885953352054200146609/2822895137081635001562500000000 (pow.f64 x 5)) (-.f64 (/.f64 -40080020390518281442678610645229/12599398067760031250000000000 (pow.f64 x 4)) (/.f64 211664374981930963892132718147710768653521/63246965546314032210007812500000000 (pow.f64 x 6)))))

eval1.6s (15.4%)

Compiler: Compiled 30080 to 24082 computations (19.9% saved)

prune287.0ms (2.8%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	883	11	894
Fresh	2	1	3
Picked	1	0	1
Done	2	3	5
Total	888	15	903

Error

0.0b

Counts

903 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.3b	(.f64 70711/100000 (-.f64 (+.f64 27061/99229 (.f64 (/.f64 1 x) (+.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x)))) x))
✓	0.1b	(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (.f64 x 4481/100000))))) x))
▶	2.0b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 3) 3)
▶	25.8b	(.f64 70711/100000 (+.f64 (.f64 x -30191289437/10000000000) 230753/100000))
	29.7b	(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
▶	28.1b	(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
	23.9b	(/.f64 (+.f64 (.f64 (pow.f64 x 3) -353558218835431/1000000000000000) 4344131920367546379167405106887/1000000000000000000000000000000) (+.f64 (pow.f64 (.f64 x -70711/100000) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (.f64 (.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
▶	18.6b	(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 2) (.f64 x x)) 70711/100000) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))
	32.6b	(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
✓	32.0b	(*.f64 x -70711/100000)
	32.3b	(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
	2.0b	(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 2) 3) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
✓	0.6b	(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
	25.8b	(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
	30.7b	16316775383/10000000000

Compiler

Compiled 462 to 368 computations (20.3% saved)

localize237.0ms (2.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
✓	0.4b	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 3)
✓	1.1b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 3) 3)
	16.6b	(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

Compiler

Compiled 124 to 96 computations (22.6% saved)

series77.0ms (0.8%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
50.0ms	x	@	0	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 3) 3)
13.0ms	x	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 3) 3)
10.0ms	x	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 3) 3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 3)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 3)

rewrite174.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

607×	`log-prod_binary64`
379×	`pow2_binary64`
265×	`log1p-udef_binary64`
264×	`expm1-udef_binary64`
258×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	66
1	380	66
2	3730	66

Stop Event

1×	node limit

Counts

3 → 111

Calls

Call 1

Inputs

(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 3) 3)

(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 3)

(cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -70711/100000) 1) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (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 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (*.f64 (pow.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/18) 4) (cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/18) 4) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (sqrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/6) (*.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/6) (cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)) 1) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (pow.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/18) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)) (pow.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/18) 4)) (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)) (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/6)) (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) 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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (exp.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/18) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/6) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/18) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/9 (log.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/9 (log.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 1))))))

simplify343.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

588×	`associate-/r*_binary64`
387×	`fma-def_binary64`
299×	`associate-*l/_binary64`
271×	`distribute-rgt-out_binary64`
267×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	4645
1	1002	3707
2	4473	3207

Stop Event

1×	node limit

Counts

147 → 183

Calls

Call 1

Inputs
(pow.f64 81980207955780506143767353891608989432221490567699772022152173602336209792819483819221406103/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 1/9)
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266237158899274796689/100000000000000000000 1/9)))))) (+.f64 (.f64 -30191289437/207677700000 (pow.f64 4344131920367546379167405106887/1000000000000000000000000000000 1/9)) (.f64 -30191289437/103838850000 (pow.f64 4344131920367546379167405106887/1000000000000000000000000000000 1/9)))))) (pow.f64 4344131920367546379167405106887/1000000000000000000000000000000 1/9)) (.f64 (+.f64 (.f64 -30191289437/207677700000 (pow.f64 4344131920367546379167405106887/1000000000000000000000000000000 1/9)) (.f64 -30191289437/103838850000 (pow.f64 4344131920367546379167405106887/1000000000000000000000000000000 1/9))) (+.f64 (pow.f64 (+.f64 (.f64 -30191289437/207677700000 (pow.f64 4344131920367546379167405106887/1000000000000000000000000000000 1/9)) (.f64 -30191289437/103838850000 (pow.f64 4344131920367546379167405106887/1000000000000000000000000000000 1/9))) 2) (.f64 2 (.f64 (+.f64 (.f64 911513957868707776969/21565013538645000000000 (pow.f64 4344131920367546379167405106887/1000000000000000000000000000000 1/9)) (+.f64 (.f64 60030982640026816969/8626005415458000000000 (pow.f64 4344131920367546379167405106887/1000000000000000000000000000000 1/9)) (.f64 (pow.f64 16316775383/10000000000 1/9) (+.f64 (.f64 60030982640026816969/4313002707729000000000 (pow.f64 266237158899274796689/100000000000000000000 1/9)) (.f64 911513957868707776969/43130027077290000000000 (pow.f64 266237158899274796689/100000000000000000000 1/9)))))) (pow.f64 4344131920367546379167405106887/1000000000000000000000000000000 1/9))))))))) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 4344131920367546379167405106887/1000000000000000000000000000000 1/9) (+.f64 (pow.f64 (+.f64 (.f64 -30191289437/207677700000 (pow.f64 4344131920367546379167405106887/1000000000000000000000000000000 1/9)) (.f64 -30191289437/103838850000 (pow.f64 4344131920367546379167405106887/1000000000000000000000000000000 1/9))) 2) (.f64 2 (.f64 (+.f64 (.f64 911513957868707776969/21565013538645000000000 (pow.f64 4344131920367546379167405106887/1000000000000000000000000000000 1/9)) (+.f64 (.f64 60030982640026816969/8626005415458000000000 (pow.f64 4344131920367546379167405106887/1000000000000000000000000000000 1/9)) (.f64 (pow.f64 16316775383/10000000000 1/9) (+.f64 (.f64 60030982640026816969/4313002707729000000000 (pow.f64 266237158899274796689/100000000000000000000 1/9)) (.f64 911513957868707776969/43130027077290000000000 (pow.f64 266237158899274796689/100000000000000000000 1/9)))))) (pow.f64 4344131920367546379167405106887/1000000000000000000000000000000 1/9))))) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 16316775383/10000000000 1/9) (+.f64 (.f64 911513957868707776969/43130027077290000000000 (pow.f64 266237158899274796689/100000000000000000000 1/9)) (.f64 60030982640026816969/4313002707729000000000 (pow.f64 266237158899274796689/100000000000000000000 1/9)))) (+.f64 (.f64 911513957868707776969/21565013538645000000000 (pow.f64 4344131920367546379167405106887/1000000000000000000000000000000 1/9)) (.f64 60030982640026816969/8626005415458000000000 (pow.f64 4344131920367546379167405106887/1000000000000000000000000000000 1/9)))) (pow.f64 18871482141556226315778185437636726988832874094157847894830769/1000000000000000000000000000000000000000000000000000000000000 1/9)) (.f64 (+.f64 (.f64 -30191289437/207677700000 (pow.f64 4344131920367546379167405106887/1000000000000000000000000000000 1/9)) (.f64 -30191289437/103838850000 (pow.f64 4344131920367546379167405106887/1000000000000000000000000000000 1/9))) (+.f64 (.f64 (pow.f64 4344131920367546379167405106887/1000000000000000000000000000000 1/9) (+.f64 (.f64 -30191289437/207677700000 (pow.f64 4344131920367546379167405106887/1000000000000000000000000000000 1/9)) (.f64 -30191289437/103838850000 (pow.f64 4344131920367546379167405106887/1000000000000000000000000000000 1/9)))) (.f64 (+.f64 (.f64 -30191289437/207677700000 (pow.f64 4344131920367546379167405106887/1000000000000000000000000000000 1/9)) (.f64 -30191289437/103838850000 (pow.f64 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(+.f64 (.f64 -27061/40329 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -70711/100000)))) 3) (pow.f64 x 2))) (+.f64 (.f64 -54122/40329 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -70711/100000)))) 3) (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -70711/100000)))) 3)))
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(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) 3)
(+.f64 (.f64 -27061/40329 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) 3) (pow.f64 x 2))) (+.f64 (.f64 -54122/40329 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) 3) (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) 3)))
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(+.f64 (.f64 1464595442/1626428241 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) 3) (pow.f64 x 4))) (+.f64 (.f64 -27061/40329 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) 3) (pow.f64 x 2))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) (+.f64 (.f64 -2757284197115080/7288024947921 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) 2)) (.f64 732297721/1626428241 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) 2)))) (pow.f64 x 4)) (+.f64 (.f64 -54122/40329 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) 3) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) 3) (+.f64 (.f64 -1378642098557540/7288024947921 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) 3) (pow.f64 x 4))) (.f64 -1 (/.f64 (+.f64 (.f64 -550410592/60238083 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) 3)) (.f64 -1100821184/60238083 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) 3))) (pow.f64 x 3)))))))))
(pow.f64 16316775383/10000000000 1/9)
(+.f64 (pow.f64 16316775383/10000000000 1/9) (.f64 -30191289437/207677700000 (.f64 (pow.f64 16316775383/10000000000 1/9) x)))
(+.f64 (pow.f64 16316775383/10000000000 1/9) (+.f64 (.f64 -30191289437/207677700000 (.f64 (pow.f64 16316775383/10000000000 1/9) x)) (.f64 60030982640026816969/8626005415458000000000 (.f64 (pow.f64 16316775383/10000000000 1/9) (pow.f64 x 2)))))
(+.f64 (pow.f64 16316775383/10000000000 1/9) (+.f64 (.f64 -30191289437/207677700000 (.f64 (pow.f64 16316775383/10000000000 1/9) x)) (+.f64 (.f64 -266910410363323131509325924352607/5374286894609585659800000000000000 (.f64 (pow.f64 16316775383/10000000000 1/9) (pow.f64 x 3))) (.f64 60030982640026816969/8626005415458000000000 (.f64 (pow.f64 16316775383/10000000000 1/9) (pow.f64 x 2))))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -70711/100000))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -70711/100000)))) (.f64 -27061/40329 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -70711/100000)))) (pow.f64 x 2))))
(+.f64 (.f64 550410592/60238083 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -70711/100000)))) (pow.f64 x 3))) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -70711/100000)))) (.f64 -27061/40329 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -70711/100000)))) (pow.f64 x 2)))))
(+.f64 (.f64 -1378642098557540/7288024947921 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -70711/100000)))) (pow.f64 x 4))) (+.f64 (.f64 550410592/60238083 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -70711/100000)))) (pow.f64 x 3))) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -70711/100000)))) (.f64 -27061/40329 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -70711/100000)))) (pow.f64 x 2))))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) (.f64 -27061/40329 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) (pow.f64 x 2))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) (+.f64 (.f64 -27061/40329 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) (pow.f64 x 2))) (.f64 550410592/60238083 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) (pow.f64 x 3)))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) (+.f64 (.f64 -27061/40329 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) (pow.f64 x 2))) (+.f64 (.f64 -1378642098557540/7288024947921 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) (pow.f64 x 4))) (.f64 550410592/60238083 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) (pow.f64 x 3))))))

Outputs
(pow.f64 81980207955780506143767353891608989432221490567699772022152173602336209792819483819221406103/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 1/9)
(*.f64 (pow.f64 81980207955780506143767353891608989432221490567699772022152173602336209792819483819221406103/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 1/18) (pow.f64 81980207955780506143767353891608989432221490567699772022152173602336209792819483819221406103/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 1/18))
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(fma.f64 (pow.f64 16316775383/10000000000 1/18) (pow.f64 16316775383/10000000000 1/18) (.f64 (.f64 (pow.f64 16316775383/10000000000 1/18) (pow.f64 16316775383/10000000000 1/18)) (+.f64 (.f64 -30191289437/207677700000 x) (.f64 60030982640026816969/8626005415458000000000 (*.f64 x x)))))
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(fma.f64 (pow.f64 16316775383/10000000000 1/18) (pow.f64 16316775383/10000000000 1/18) (fma.f64 -30191289437/207677700000 (.f64 x (.f64 (pow.f64 16316775383/10000000000 1/18) (pow.f64 16316775383/10000000000 1/18))) (fma.f64 -266910410363323131509325924352607/5374286894609585659800000000000000 (.f64 (.f64 (pow.f64 16316775383/10000000000 1/18) (pow.f64 16316775383/10000000000 1/18)) (pow.f64 x 3)) (.f64 (.f64 (pow.f64 16316775383/10000000000 1/18) (pow.f64 16316775383/10000000000 1/18)) (.f64 (.f64 x x) 60030982640026816969/8626005415458000000000)))))
(+.f64 (.f64 (.f64 (pow.f64 16316775383/10000000000 1/18) (pow.f64 16316775383/10000000000 1/18)) (+.f64 (.f64 -30191289437/207677700000 x) (.f64 -266910410363323131509325924352607/5374286894609585659800000000000000 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 60030982640026816969/8626005415458000000000 (.f64 x x)) 1) (.f64 (pow.f64 16316775383/10000000000 1/18) (pow.f64 16316775383/10000000000 1/18))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -70711/100000))))
(pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -70711/100000)))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 -70711/100000)))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -70711/100000)))) (.f64 -27061/40329 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -70711/100000)))) (pow.f64 x 2))))
(+.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -70711/100000))) (.f64 -27061/40329 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -70711/100000))) (.f64 x x))))
(fma.f64 -27061/40329 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 -70711/100000))) (*.f64 x x)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 -70711/100000))))
(+.f64 (.f64 550410592/60238083 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -70711/100000)))) (pow.f64 x 3))) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -70711/100000)))) (.f64 -27061/40329 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -70711/100000)))) (pow.f64 x 2)))))
(fma.f64 550410592/60238083 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -70711/100000))) (pow.f64 x 3)) (+.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -70711/100000))) (.f64 -27061/40329 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -70711/100000))) (.f64 x x)))))
(fma.f64 550410592/60238083 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 -70711/100000))) (pow.f64 x 3)) (fma.f64 -27061/40329 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 -70711/100000))) (*.f64 x x)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 -70711/100000)))))
(+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 -70711/100000))) (.f64 x x)) (+.f64 (/.f64 550410592/60238083 x) -27061/40329)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 -70711/100000))))
(+.f64 (.f64 -1378642098557540/7288024947921 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -70711/100000)))) (pow.f64 x 4))) (+.f64 (.f64 550410592/60238083 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -70711/100000)))) (pow.f64 x 3))) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -70711/100000)))) (.f64 -27061/40329 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -70711/100000)))) (pow.f64 x 2))))))
(fma.f64 -1378642098557540/7288024947921 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -70711/100000))) (pow.f64 x 4)) (fma.f64 550410592/60238083 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -70711/100000))) (pow.f64 x 3)) (+.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -70711/100000))) (.f64 -27061/40329 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -70711/100000))) (.f64 x x))))))
(fma.f64 -1378642098557540/7288024947921 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 -70711/100000))) (pow.f64 x 4)) (fma.f64 550410592/60238083 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 -70711/100000))) (pow.f64 x 3)) (fma.f64 -27061/40329 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 -70711/100000))) (*.f64 x x)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 -70711/100000))))))
(fma.f64 -1378642098557540/7288024947921 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 -70711/100000))) (pow.f64 x 4)) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 -70711/100000))) (.f64 x x)) (+.f64 (/.f64 550410592/60238083 x) -27061/40329)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 -70711/100000)))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000))))
(pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 70711/100000)))
(pow.f64 (exp.f64 1/9) (-.f64 (log.f64 70711/100000) (log.f64 (/.f64 -1 x))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) (.f64 -27061/40329 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) (pow.f64 x 2))))
(+.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 70711/100000))) (.f64 -27061/40329 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 70711/100000))) (.f64 x x))))
(fma.f64 -27061/40329 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 70711/100000) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 70711/100000) (log.f64 (/.f64 -1 x)))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) (+.f64 (.f64 -27061/40329 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) (pow.f64 x 2))) (.f64 550410592/60238083 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) (pow.f64 x 3)))))
(+.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 70711/100000))) (fma.f64 -27061/40329 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 70711/100000))) (.f64 x x)) (.f64 550410592/60238083 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 70711/100000))) (pow.f64 x 3)))))
(+.f64 (fma.f64 -27061/40329 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 70711/100000) (log.f64 (/.f64 -1 x)))) (.f64 x x)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 70711/100000) (log.f64 (/.f64 -1 x))))) (.f64 550410592/60238083 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 70711/100000) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3))))
(+.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 70711/100000) (log.f64 (/.f64 -1 x)))) (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 70711/100000) (log.f64 (/.f64 -1 x)))) (.f64 x x)) (+.f64 -27061/40329 (/.f64 550410592/60238083 x))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) (+.f64 (.f64 -27061/40329 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) (pow.f64 x 2))) (+.f64 (.f64 -1378642098557540/7288024947921 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) (pow.f64 x 4))) (.f64 550410592/60238083 (/.f64 (exp.f64 (.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 70711/100000)))) (pow.f64 x 3))))))
(+.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 70711/100000))) (fma.f64 -27061/40329 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 70711/100000))) (.f64 x x)) (fma.f64 -1378642098557540/7288024947921 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 70711/100000))) (pow.f64 x 4)) (.f64 550410592/60238083 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 70711/100000))) (pow.f64 x 3))))))
(+.f64 (fma.f64 -27061/40329 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 70711/100000) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 70711/100000) (log.f64 (/.f64 -1 x))))) (fma.f64 550410592/60238083 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 70711/100000) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (/.f64 -1378642098557540/7288024947921 (/.f64 (pow.f64 x 4) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 70711/100000) (log.f64 (/.f64 -1 x))))))))
(+.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 70711/100000) (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 70711/100000) (log.f64 (/.f64 -1 x)))) (.f64 x x)) (+.f64 -27061/40329 (/.f64 550410592/60238083 x))) (*.f64 (/.f64 -1378642098557540/7288024947921 (pow.f64 x 4)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 70711/100000) (log.f64 (/.f64 -1 x)))))))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
✓	0.1b	(*.f64 -70711/100000 x)

Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
0.0ms	x	@	0	(*.f64 -70711/100000 x)
0.0ms	x	@	inf	(*.f64 -70711/100000 x)
0.0ms	x	@	-inf	(*.f64 -70711/100000 x)
0.0ms	x	@	0	(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
618×	`add-log-exp_binary64`
618×	`log1p-expm1-u_binary64`
618×	`expm1-log1p-u_binary64`
609×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	132	9
2	1607	9

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(*.f64 -70711/100000 x)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -70711/100000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -70711/100000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -70711/100000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -353558218835431/1000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -70711/100000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -70711/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) -353558218835431/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -70711/100000 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -70711/100000 x 1913510371/9922900000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 3661521939924557641/98463944410000000000 (+.f64 1913510371/9922900000 (*.f64 70711/100000 x))) (/.f64 (pow.f64 (*.f64 -70711/100000 x) 2) (+.f64 1913510371/9922900000 (*.f64 70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -70711/100000 x 1913510371/9922900000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -70711/100000 x 1913510371/9922900000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)) (pow.f64 (cbrt.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)) 2) (cbrt.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)) (sqrt.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 7006360205689680003640794811/977047873985989000000000000000 (*.f64 (pow.f64 x 3) -353558218835431/1000000000000000)) (/.f64 1 (+.f64 3661521939924557641/98463944410000000000 (-.f64 (pow.f64 (*.f64 -70711/100000 x) 2) (*.f64 -135306231843781/992290000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 3661521939924557641/98463944410000000000 (pow.f64 (*.f64 -70711/100000 x) 2)) (/.f64 1 (+.f64 1913510371/9922900000 (*.f64 70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 3661521939924557641/98463944410000000000 (-.f64 (pow.f64 (*.f64 -70711/100000 x) 2) (*.f64 -135306231843781/992290000000000 x))) (+.f64 7006360205689680003640794811/977047873985989000000000000000 (*.f64 (pow.f64 x 3) -353558218835431/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1913510371/9922900000 (*.f64 70711/100000 x)) (-.f64 3661521939924557641/98463944410000000000 (pow.f64 (*.f64 -70711/100000 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 7006360205689680003640794811/977047873985989000000000000000 (*.f64 (pow.f64 x 3) -353558218835431/1000000000000000)) (+.f64 3661521939924557641/98463944410000000000 (-.f64 (pow.f64 (*.f64 -70711/100000 x) 2) (*.f64 -135306231843781/992290000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 7006360205689680003640794811/977047873985989000000000000000 (*.f64 (pow.f64 x 3) -353558218835431/1000000000000000)) (+.f64 (pow.f64 (*.f64 -70711/100000 x) 2) (-.f64 3661521939924557641/98463944410000000000 (*.f64 -135306231843781/992290000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 3661521939924557641/98463944410000000000 (pow.f64 (*.f64 -70711/100000 x) 2)) (+.f64 1913510371/9922900000 (*.f64 70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 7006360205689680003640794811/977047873985989000000000000000 (*.f64 (pow.f64 x 3) -353558218835431/1000000000000000))) (neg.f64 (+.f64 3661521939924557641/98463944410000000000 (-.f64 (pow.f64 (*.f64 -70711/100000 x) 2) (*.f64 -135306231843781/992290000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 3661521939924557641/98463944410000000000 (pow.f64 (*.f64 -70711/100000 x) 2))) (neg.f64 (+.f64 1913510371/9922900000 (*.f64 70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -70711/100000 x) 2) 3661521939924557641/98463944410000000000) (-.f64 (*.f64 -70711/100000 x) 1913510371/9922900000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -70711/100000 x 1913510371/9922900000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -70711/100000 x 1913510371/9922900000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -70711/100000 x 1913510371/9922900000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -70711/100000 x 1913510371/9922900000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -70711/100000 x 1913510371/9922900000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -70711/100000 1913510371/9922900000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -70711/100000 x) 1913510371/9922900000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2) (cbrt.f64 (*.f64 -70711/100000 x)) 1913510371/9922900000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -70711/100000 x)) (sqrt.f64 (*.f64 -70711/100000 x)) 1913510371/9922900000)))))

simplify11.0ms (0.1%)

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
1913510371/9922900000
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)

Outputs
1913510371/9922900000
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)
✓	0.1b	(.f64 70711/100000 (+.f64 (.f64 x -30191289437/10000000000) 230753/100000))
✓	0.4b	(*.f64 x -30191289437/10000000000)

Compiler

Compiled 20 to 16 computations (20% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 x -30191289437/10000000000)
1.0ms	x	@	inf	(*.f64 x -30191289437/10000000000)
1.0ms	x	@	-inf	(*.f64 x -30191289437/10000000000)
0.0ms	x	@	inf	(.f64 70711/100000 (+.f64 (.f64 x -30191289437/10000000000) 230753/100000))
0.0ms	x	@	0	(.f64 70711/100000 (+.f64 (.f64 x -30191289437/10000000000) 230753/100000))

rewrite74.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`pow1_binary64`
810×	`add-log-exp_binary64`
810×	`log1p-expm1-u_binary64`
810×	`expm1-log1p-u_binary64`
799×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	181	16
2	2156	16

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

Inputs
(*.f64 x -30191289437/10000000000)
(.f64 70711/100000 (+.f64 (.f64 x -30191289437/10000000000) 230753/100000))
(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -30191289437/10000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -30191289437/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -30191289437/10000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -30191289437/10000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -27519781727879580139643921576453/1000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -30191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) -27519781727879580139643921576453/1000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -30191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -30191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -30191289437/10000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 16316775383/10000000000 (*.f64 x -2134856267379707/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -2134856267379707/1000000000000000) 1) 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -2134856267379707/1000000000000000) 3) 4344131920367546379167405106887/1000000000000000000000000000000) (+.f64 (*.f64 (*.f64 x -2134856267379707/1000000000000000) (*.f64 x -2134856267379707/1000000000000000)) (-.f64 266237158899274796689/100000000000000000000 (*.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x -2134856267379707/1000000000000000) (*.f64 x -2134856267379707/1000000000000000)) 266237158899274796689/100000000000000000000) (-.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 (pow.f64 x 3) -27519781727879580139643921576453/1000000000000000000000000000000)) 70711/100000) (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) (-.f64 53246947009/10000000000 (*.f64 x -6966730611456061/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) 70711/100000) (fma.f64 x -30191289437/10000000000 -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (+.f64 12286892763167777/1000000000000000 (*.f64 (pow.f64 x 3) -27519781727879580139643921576453/1000000000000000000000000000000))) (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) (-.f64 53246947009/10000000000 (*.f64 x -6966730611456061/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000)) (fma.f64 x -30191289437/10000000000 -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -30191289437/10000000000) 70711/100000 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 70711/100000 (*.f64 x -30191289437/10000000000) 16316775383/10000000000)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -30191289437/10000000000 230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) (fma.f64 x -30191289437/10000000000 -230753/100000)) (/.f64 53246947009/10000000000 (fma.f64 x -30191289437/10000000000 -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -30191289437/10000000000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) (pow.f64 (cbrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 2) (cbrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) (sqrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 (pow.f64 x 3) -27519781727879580139643921576453/1000000000000000000000000000000)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) (-.f64 53246947009/10000000000 (*.f64 x -6966730611456061/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (/.f64 1 (fma.f64 x -30191289437/10000000000 -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) (-.f64 53246947009/10000000000 (*.f64 x -6966730611456061/1000000000000000))) (+.f64 12286892763167777/1000000000000000 (*.f64 (pow.f64 x 3) -27519781727879580139643921576453/1000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x -30191289437/10000000000 -230753/100000) (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 (pow.f64 x 3) -27519781727879580139643921576453/1000000000000000000000000000000)) (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) (-.f64 53246947009/10000000000 (*.f64 x -6966730611456061/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 (pow.f64 x 3) -27519781727879580139643921576453/1000000000000000000000000000000)) (+.f64 53246947009/10000000000 (-.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) (*.f64 x -6966730611456061/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000) (fma.f64 x -30191289437/10000000000 -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 (pow.f64 x 3) -27519781727879580139643921576453/1000000000000000000000000000000))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) (-.f64 53246947009/10000000000 (*.f64 x -6966730611456061/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000) -53246947009/10000000000)) (neg.f64 (fma.f64 x -30191289437/10000000000 -230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000)) (-.f64 230753/100000 (*.f64 x -30191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -30191289437/10000000000 230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -30191289437/10000000000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -30191289437/10000000000 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 -30191289437/10000000000 x 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -30191289437/10000000000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -30191289437/10000000000)) 2) (cbrt.f64 (*.f64 x -30191289437/10000000000)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -30191289437/10000000000)) (sqrt.f64 (*.f64 x -30191289437/10000000000)) 230753/100000)))))

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	174
1	15	156
2	18	156

Stop Event

1×

saturated

Counts

101 → 73

Calls

Call 1

Inputs
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
230753/100000
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(*.f64 -30191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(*.f64 -30191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))

Outputs
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
(*.f64 -30191289437/10000000000 x)
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 x -2134856267379707/1000000000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 x -2134856267379707/1000000000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
230753/100000
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)
(*.f64 -30191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)
(*.f64 -30191289437/10000000000 x)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 230753/100000)
(fma.f64 -30191289437/10000000000 x 230753/100000)

localize109.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x))
✓	0.2b	(.f64 70711/100000 (-.f64 (+.f64 27061/99229 (.f64 (/.f64 1 x) (+.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x)))) x))
✓	0.2b	(*.f64 (/.f64 1 x) (+.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x)))
✓	0.4b	(/.f64 -2019128943700000/977047873985989 x)

Compiler

Compiled 66 to 52 computations (21.2% saved)

series8.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(*.f64 (/.f64 1 x) (+.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x)))
1.0ms	x	@	0	(/.f64 -2019128943700000/977047873985989 x)
1.0ms	x	@	inf	(*.f64 (/.f64 1 x) (+.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x)))
0.0ms	x	@	-inf	(*.f64 (/.f64 1 x) (+.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x)))
0.0ms	x	@	0	(.f64 70711/100000 (-.f64 (+.f64 27061/99229 (.f64 (/.f64 1 x) (+.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x)))) x))

rewrite104.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

677×	`log-prod_binary64`
565×	`fma-def_binary64`
287×	`fma-neg_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	327	40
2	4530	40

Stop Event

1×	node limit

Counts

4 → 162

Calls

Call 1

Inputs
(/.f64 -2019128943700000/977047873985989 x)
(*.f64 (/.f64 1 x) (+.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x)))
(.f64 70711/100000 (-.f64 (+.f64 27061/99229 (.f64 (/.f64 1 x) (+.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x)))) x))
(+.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -2019128943700000/977047873985989 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 -2019128943700000/977047873985989 x))) (cbrt.f64 (exp.f64 (/.f64 -2019128943700000/977047873985989 x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2019128943700000/977047873985989 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2019128943700000/977047873985989 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2019128943700000/977047873985989 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -2019128943700000/977047873985989 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2019128943700000/977047873985989 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2019128943700000/977047873985989 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 -2019128943700000/977047873985989 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) -2019128943700000/977047873985989)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 -2019128943700000/977047873985989 x)) (pow.f64 (cbrt.f64 (/.f64 -2019128943700000/977047873985989 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 -2019128943700000/977047873985989 x)) 2) (cbrt.f64 (/.f64 -2019128943700000/977047873985989 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 -2019128943700000/977047873985989 x)) (sqrt.f64 (/.f64 -2019128943700000/977047873985989 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2019128943700000/977047873985989 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2019128943700000/977047873985989 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2019128943700000/977047873985989 (pow.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2019128943700000/977047873985989 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2019128943700000/977047873985989 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2019128943700000/977047873985989 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -8231749822918346830573921576453000000000000000/932711931041639230364939495148905203788916669 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x -2019128943700000/977047873985989) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 4076881691287077769690000000000/954622548060541040474968308121 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2019128943700000/977047873985989 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -2019128943700000/977047873985989 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -8231749822918346830573921576453000000000000000/932711931041639230364939495148905203788916669 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2019128943700000/977047873985989 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2019128943700000/977047873985989 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2019128943700000/977047873985989 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -2019128943700000/977047873985989 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 20191289437/9846394441 x) (.f64 -2019128943700000/977047873985989 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -2019128943700000/977047873985989 (pow.f64 x -2)) (/.f64 20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 20191289437/9846394441 x) 1) (.f64 (.f64 -2019128943700000/977047873985989 (pow.f64 x -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 2)) (/.f64 x (cbrt.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441)) (/.f64 x (sqrt.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8231749822918346830573921576453/954622548060541040474968308121 (/.f64 -8231749822918346830573921576453000000000000000/932711931041639230364939495148905203788916669 (pow.f64 x 3))) (.f64 x (fma.f64 (/.f64 -2019128943700000/977047873985989 x) (-.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 407688169128707776969/96951483487755702481)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 407688169128707776969/96951483487755702481 (.f64 4076881691287077769690000000000/954622548060541040474968308121 (pow.f64 x -2))) (.f64 x (-.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (+.f64 8231749822918346830573921576453/954622548060541040474968308121 (/.f64 -8231749822918346830573921576453000000000000000/932711931041639230364939495148905203788916669 (pow.f64 x 3)))) (.f64 (neg.f64 x) (fma.f64 (/.f64 -2019128943700000/977047873985989 x) (-.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 407688169128707776969/96951483487755702481)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (-.f64 407688169128707776969/96951483487755702481 (.f64 4076881691287077769690000000000/954622548060541040474968308121 (pow.f64 x -2)))) (.f64 (neg.f64 x) (-.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 8231749822918346830573921576453/954622548060541040474968308121 (/.f64 -8231749822918346830573921576453000000000000000/932711931041639230364939495148905203788916669 (pow.f64 x 3))) 1) (.f64 (fma.f64 (/.f64 -2019128943700000/977047873985989 x) (-.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 407688169128707776969/96951483487755702481) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 407688169128707776969/96951483487755702481 (.f64 4076881691287077769690000000000/954622548060541040474968308121 (pow.f64 x -2))) 1) (.f64 (-.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 8231749822918346830573921576453/954622548060541040474968308121 (/.f64 -8231749822918346830573921576453000000000000000/932711931041639230364939495148905203788916669 (pow.f64 x 3))) -1) (.f64 (fma.f64 (/.f64 -2019128943700000/977047873985989 x) (-.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 407688169128707776969/96951483487755702481) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 407688169128707776969/96951483487755702481 (.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 407688169128707776969/96951483487755702481 (-.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x))) (/.f64 (.f64 4076881691287077769690000000000/954622548060541040474968308121 (pow.f64 x -2)) (-.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 2)))))) (#(struct:change 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-8231749822918346830573921576453000000000000000/932711931041639230364939495148905203788916669 (pow.f64 x 3))) (fma.f64 (/.f64 -2019128943700000/977047873985989 x) (-.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 407688169128707776969/96951483487755702481))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8231749822918346830573921576453/954622548060541040474968308121 (/.f64 -8231749822918346830573921576453000000000000000/932711931041639230364939495148905203788916669 (pow.f64 x 3))) (fma.f64 4076881691287077769690000000000/954622548060541040474968308121 (pow.f64 x -2) (-.f64 407688169128707776969/96951483487755702481 (/.f64 -40768816912870777696900000/9620398755006510601487149 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 407688169128707776969/96951483487755702481 (.f64 4076881691287077769690000000000/954622548060541040474968308121 (pow.f64 x -2))) (-.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8231749822918346830573921576453/954622548060541040474968308121 (/.f64 -8231749822918346830573921576453000000000000000/932711931041639230364939495148905203788916669 (pow.f64 x 3)))) (neg.f64 (fma.f64 (/.f64 -2019128943700000/977047873985989 x) (-.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 407688169128707776969/96951483487755702481)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 407688169128707776969/96951483487755702481 (.f64 4076881691287077769690000000000/954622548060541040474968308121 (pow.f64 x -2)))) (neg.f64 (-.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 4076881691287077769690000000000/954622548060541040474968308121 (pow.f64 x -2) -407688169128707776969/96951483487755702481) (-.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2019128943700000/977047873985989 (/.f64 1 x) 20191289437/9846394441)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2019128943700000/977047873985989 x) 1 20191289437/9846394441)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -2019128943700000/977047873985989 20191289437/9846394441)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2019128943700000/977047873985989 x)) (pow.f64 (cbrt.f64 (/.f64 -2019128943700000/977047873985989 x)) 2) 20191289437/9846394441)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2019128943700000/977047873985989 x)) 2) (cbrt.f64 (/.f64 -2019128943700000/977047873985989 x)) 20191289437/9846394441)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2019128943700000/977047873985989 x)) (sqrt.f64 (/.f64 -2019128943700000/977047873985989 x)) 20191289437/9846394441)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2019128943700000/977047873985989 (/.f64 1 (neg.f64 x)) 20191289437/9846394441)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -2019128943700000/977047873985989 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) 20191289437/9846394441)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2019128943700000/977047873985989 (pow.f64 x -1/2)) (pow.f64 x -1/2) 20191289437/9846394441)))))

simplify67.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

579×	`associate-l_binary64`
568×	`fma-def_binary64`
526×	`associate-r_binary64`
434×	`unswap-sqr_binary64`
323×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	351
1	83	337
2	162	337
3	350	337
4	885	337
5	2806	337
6	6203	337

Stop Event

1×	node limit

Counts

198 → 185

Calls

Call 1

Inputs
(/.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 20191289437/9846394441 (/.f64 1 x)) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 20191289437/9846394441 (/.f64 1 x)) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(/.f64 20191289437/9846394441 x)
(-.f64 (.f64 20191289437/9846394441 (/.f64 1 x)) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 20191289437/9846394441 (/.f64 1 x)) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 20191289437/9846394441 (/.f64 1 x)) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(/.f64 20191289437/9846394441 x)
(-.f64 (.f64 20191289437/9846394441 (/.f64 1 x)) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 20191289437/9846394441 (/.f64 1 x)) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 20191289437/9846394441 (/.f64 1 x)) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(/.f64 -1427746267379707/977047873985989 (pow.f64 x 2))
(-.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1913510371/9922900000 (.f64 1427746267379707/984639444100000 (/.f64 1 x))) (.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x)))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x)))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(/.f64 -2019128943700000/977047873985989 x)
(-.f64 20191289437/9846394441 (*.f64 2019128943700000/977047873985989 (/.f64 1 x)))
(-.f64 20191289437/9846394441 (*.f64 2019128943700000/977047873985989 (/.f64 1 x)))
(-.f64 20191289437/9846394441 (*.f64 2019128943700000/977047873985989 (/.f64 1 x)))
20191289437/9846394441
(-.f64 20191289437/9846394441 (*.f64 2019128943700000/977047873985989 (/.f64 1 x)))
(-.f64 20191289437/9846394441 (*.f64 2019128943700000/977047873985989 (/.f64 1 x)))
(-.f64 20191289437/9846394441 (*.f64 2019128943700000/977047873985989 (/.f64 1 x)))
20191289437/9846394441
(-.f64 20191289437/9846394441 (*.f64 2019128943700000/977047873985989 (/.f64 1 x)))
(-.f64 20191289437/9846394441 (*.f64 2019128943700000/977047873985989 (/.f64 1 x)))
(-.f64 20191289437/9846394441 (*.f64 2019128943700000/977047873985989 (/.f64 1 x)))

Outputs
(/.f64 -2019128943700000/977047873985989 (pow.f64 x 2))
(/.f64 -2019128943700000/977047873985989 (*.f64 x x))
(/.f64 (/.f64 -2019128943700000/977047873985989 x) x)
(-.f64 (.f64 20191289437/9846394441 (/.f64 1 x)) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(-.f64 (.f64 20191289437/9846394441 (/.f64 1 x)) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(-.f64 (.f64 20191289437/9846394441 (/.f64 1 x)) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(/.f64 20191289437/9846394441 x)
(-.f64 (.f64 20191289437/9846394441 (/.f64 1 x)) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(-.f64 (.f64 20191289437/9846394441 (/.f64 1 x)) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(-.f64 (.f64 20191289437/9846394441 (/.f64 1 x)) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(/.f64 20191289437/9846394441 x)
(-.f64 (.f64 20191289437/9846394441 (/.f64 1 x)) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(-.f64 (.f64 20191289437/9846394441 (/.f64 1 x)) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(-.f64 (.f64 20191289437/9846394441 (/.f64 1 x)) (.f64 2019128943700000/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 20191289437/9846394441 x) (/.f64 2019128943700000/977047873985989 (*.f64 x x)))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 (/.f64 -2019128943700000/977047873985989 x) x))
(+.f64 (/.f64 20191289437/9846394441 x) (/.f64 -2019128943700000/977047873985989 (*.f64 x x)))
(/.f64 -1427746267379707/977047873985989 (pow.f64 x 2))
(/.f64 -1427746267379707/977047873985989 (*.f64 x x))
(-.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1427746267379707/984639444100000 x) (/.f64 1427746267379707/977047873985989 (*.f64 x x)))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (/.f64 -1427746267379707/977047873985989 (*.f64 x x)))
(-.f64 (/.f64 -1427746267379707/977047873985989 (*.f64 x x)) (/.f64 -1427746267379707/984639444100000 x))
(-.f64 (+.f64 1913510371/9922900000 (.f64 1427746267379707/984639444100000 (/.f64 1 x))) (.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1427746267379707/984639444100000 x) 1913510371/9922900000) (/.f64 1427746267379707/977047873985989 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 1427746267379707/984639444100000 x) 1913510371/9922900000) (/.f64 -1427746267379707/977047873985989 (*.f64 x x)))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (+.f64 1913510371/9922900000 (/.f64 -1427746267379707/977047873985989 (*.f64 x x))))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 1913510371/9922900000 (-.f64 (+.f64 (/.f64 1427746267379707/984639444100000 x) (.f64 x -70711/100000)) (/.f64 1427746267379707/977047873985989 (.f64 x x))))
(+.f64 1913510371/9922900000 (+.f64 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)) (/.f64 -1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (-.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (/.f64 1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1427746267379707/984639444100000 x) (/.f64 -1427746267379707/977047873985989 (*.f64 x x))) (fma.f64 x -70711/100000 1913510371/9922900000))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 1913510371/9922900000)
(+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (fma.f64 x -70711/100000 1913510371/9922900000))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 1913510371/9922900000 (-.f64 (+.f64 (/.f64 1427746267379707/984639444100000 x) (.f64 x -70711/100000)) (/.f64 1427746267379707/977047873985989 (.f64 x x))))
(+.f64 1913510371/9922900000 (+.f64 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)) (/.f64 -1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (-.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (/.f64 1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1427746267379707/984639444100000 x) (/.f64 -1427746267379707/977047873985989 (*.f64 x x))) (fma.f64 x -70711/100000 1913510371/9922900000))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 1913510371/9922900000)
(+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (*.f64 x -70711/100000)))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (fma.f64 x -70711/100000 1913510371/9922900000))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 1913510371/9922900000 (-.f64 (+.f64 (/.f64 1427746267379707/984639444100000 x) (.f64 x -70711/100000)) (/.f64 1427746267379707/977047873985989 (.f64 x x))))
(+.f64 1913510371/9922900000 (+.f64 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)) (/.f64 -1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 (/.f64 1427746267379707/984639444100000 x) (-.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (/.f64 1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1427746267379707/984639444100000 x) (/.f64 -1427746267379707/977047873985989 (*.f64 x x))) (fma.f64 x -70711/100000 1913510371/9922900000))
(/.f64 -2019128943700000/977047873985989 x)
(-.f64 20191289437/9846394441 (*.f64 2019128943700000/977047873985989 (/.f64 1 x)))
(-.f64 20191289437/9846394441 (/.f64 2019128943700000/977047873985989 x))
(+.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x))
(-.f64 20191289437/9846394441 (*.f64 2019128943700000/977047873985989 (/.f64 1 x)))
(-.f64 20191289437/9846394441 (/.f64 2019128943700000/977047873985989 x))
(+.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x))
(-.f64 20191289437/9846394441 (*.f64 2019128943700000/977047873985989 (/.f64 1 x)))
(-.f64 20191289437/9846394441 (/.f64 2019128943700000/977047873985989 x))
(+.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x))
20191289437/9846394441
(-.f64 20191289437/9846394441 (*.f64 2019128943700000/977047873985989 (/.f64 1 x)))
(-.f64 20191289437/9846394441 (/.f64 2019128943700000/977047873985989 x))
(+.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x))
(-.f64 20191289437/9846394441 (*.f64 2019128943700000/977047873985989 (/.f64 1 x)))
(-.f64 20191289437/9846394441 (/.f64 2019128943700000/977047873985989 x))
(+.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x))
(-.f64 20191289437/9846394441 (*.f64 2019128943700000/977047873985989 (/.f64 1 x)))
(-.f64 20191289437/9846394441 (/.f64 2019128943700000/977047873985989 x))
(+.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x))
20191289437/9846394441
(-.f64 20191289437/9846394441 (*.f64 2019128943700000/977047873985989 (/.f64 1 x)))
(-.f64 20191289437/9846394441 (/.f64 2019128943700000/977047873985989 x))
(+.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x))
(-.f64 20191289437/9846394441 (*.f64 2019128943700000/977047873985989 (/.f64 1 x)))
(-.f64 20191289437/9846394441 (/.f64 2019128943700000/977047873985989 x))
(+.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x))
(-.f64 20191289437/9846394441 (*.f64 2019128943700000/977047873985989 (/.f64 1 x)))
(-.f64 20191289437/9846394441 (/.f64 2019128943700000/977047873985989 x))
(+.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x))

localize48.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 x 27061/100000 230753/100000)
✓	0.5b	(pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 2)
✓	0.6b	(.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 2) (.f64 x x)) 70711/100000)
✓	17.3b	(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 2) (.f64 x x)) 70711/100000) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))

Compiler

Compiled 111 to 81 computations (27% saved)

series9.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(fma.f64 x 27061/100000 230753/100000)
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 2) (.f64 x x)) 70711/100000) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))
1.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 2) (.f64 x x)) 70711/100000) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 2) (.f64 x x)) 70711/100000) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))
0.0ms	x	@	inf	(.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 2) (.f64 x x)) 70711/100000)

rewrite109.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`log-prod_binary64`
525×	`fma-def_binary64`
316×	`log1p-udef_binary64`
315×	`expm1-udef_binary64`
294×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	85
1	380	85
2	5097	85

Stop Event

1×	node limit

Counts

4 → 138

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 2) (.f64 x x)) 70711/100000) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))
(.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 2) (.f64 x x)) 70711/100000)
(pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 2)
(fma.f64 x 27061/100000 230753/100000)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 70711/100000 (/.f64 (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 2) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 70711/100000 (/.f64 (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 2) (.f64 x x)))))) (cbrt.f64 (exp.f64 (/.f64 70711/100000 (/.f64 (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 2) (.f64 x x)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 70711/100000 (/.f64 (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))) (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 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simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

862×	`fma-def_binary64`
597×	`associate-/r*_binary64`
584×	`fma-neg_binary64`
398×	`times-frac_binary64`
330×	`*-commutative_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	85	497
1	212	453
2	499	447
3	1359	429
4	3556	429
5	7355	425

Stop Event

1×	node limit

Counts

186 → 187

Calls

Call 1

Inputs
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (.f64 -2134856267379707/1000000000000000 x) (+.f64 (.f64 141673834365820945903/100000000000000000000 (pow.f64 x 2)) 16316775383/10000000000))
(+.f64 (.f64 -2134856267379707/1000000000000000 x) (+.f64 (.f64 141673834365820945903/100000000000000000000 (pow.f64 x 2)) (+.f64 16316775383/10000000000 (*.f64 -14058152910286046641008787/10000000000000000000000000 (pow.f64 x 3)))))
(*.f64 -70711/100000 x)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x)))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x)))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
3765144869953399/1000000000000000
(+.f64 3765144869953399/1000000000000000 (*.f64 -329456734436669529371/50000000000000000000 x))
(+.f64 3765144869953399/1000000000000000 (+.f64 (.f64 -329456734436669529371/50000000000000000000 x) (.f64 87140262730092617077164877/10000000000000000000000000 (pow.f64 x 2))))
(+.f64 3765144869953399/1000000000000000 (+.f64 (.f64 -3052269176918562089698646476611/250000000000000000000000000000 (pow.f64 x 3)) (+.f64 (.f64 -329456734436669529371/50000000000000000000 x) (*.f64 87140262730092617077164877/10000000000000000000000000 (pow.f64 x 2)))))
(*.f64 -70711/100000 (pow.f64 x 2))
(+.f64 51781504149631/984639444100000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (.f64 38636241741562251127/48852393699299450000 (/.f64 1 x)) (+.f64 51781504149631/984639444100000 (.f64 -70711/100000 (pow.f64 x 2))))
(+.f64 (.f64 38636241741562251127/48852393699299450000 (/.f64 1 x)) (+.f64 51781504149631/984639444100000 (+.f64 (.f64 -70711/100000 (pow.f64 x 2)) (*.f64 21100789778947605391854959/9695148348775570248100000 (/.f64 1 (pow.f64 x 2))))))
(*.f64 -70711/100000 (pow.f64 x 2))
(+.f64 51781504149631/984639444100000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (.f64 38636241741562251127/48852393699299450000 (/.f64 1 x)) (+.f64 51781504149631/984639444100000 (.f64 -70711/100000 (pow.f64 x 2))))
(+.f64 (.f64 38636241741562251127/48852393699299450000 (/.f64 1 x)) (+.f64 51781504149631/984639444100000 (+.f64 (.f64 -70711/100000 (pow.f64 x 2)) (*.f64 21100789778947605391854959/9695148348775570248100000 (/.f64 1 (pow.f64 x 2))))))
53246947009/10000000000
(+.f64 (*.f64 -4659200611456061/500000000000000 x) 53246947009/10000000000)
(+.f64 (.f64 -4659200611456061/500000000000000 x) (+.f64 53246947009/10000000000 (.f64 1332343804077054730907/100000000000000000000 (pow.f64 x 2))))
(+.f64 (.f64 -4659200611456061/500000000000000 x) (+.f64 53246947009/10000000000 (+.f64 (.f64 -43165408167308651973506901/2500000000000000000000000 (pow.f64 x 3)) (*.f64 1332343804077054730907/100000000000000000000 (pow.f64 x 2)))))
732297721/9846394441
(+.f64 732297721/9846394441 (*.f64 1092792966909314/977047873985989 (/.f64 1 x)))
(+.f64 732297721/9846394441 (+.f64 (.f64 1092792966909314/977047873985989 (/.f64 1 x)) (.f64 298408872437776376969/96951483487755702481 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 732297721/9846394441 (+.f64 (.f64 1092792966909314/977047873985989 (/.f64 1 x)) (.f64 298408872437776376969/96951483487755702481 (/.f64 1 (pow.f64 x 2))))) (*.f64 70609704156648415393800000/9620398755006510601487149 (/.f64 1 (pow.f64 x 3))))
732297721/9846394441
(+.f64 732297721/9846394441 (*.f64 1092792966909314/977047873985989 (/.f64 1 x)))
(+.f64 732297721/9846394441 (+.f64 (.f64 1092792966909314/977047873985989 (/.f64 1 x)) (.f64 298408872437776376969/96951483487755702481 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 732297721/9846394441 (+.f64 (.f64 1092792966909314/977047873985989 (/.f64 1 x)) (.f64 298408872437776376969/96951483487755702481 (/.f64 1 (pow.f64 x 2))))) (*.f64 70609704156648415393800000/9620398755006510601487149 (/.f64 1 (pow.f64 x 3))))
230753/100000
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(*.f64 27061/100000 x)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(*.f64 27061/100000 x)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))

Outputs
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (.f64 -2134856267379707/1000000000000000 x) (+.f64 (.f64 141673834365820945903/100000000000000000000 (pow.f64 x 2)) 16316775383/10000000000))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 141673834365820945903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 x (*.f64 x 141673834365820945903/100000000000000000000) 16316775383/10000000000))
(fma.f64 x (fma.f64 x 141673834365820945903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (.f64 -2134856267379707/1000000000000000 x) (+.f64 (.f64 141673834365820945903/100000000000000000000 (pow.f64 x 2)) (+.f64 16316775383/10000000000 (*.f64 -14058152910286046641008787/10000000000000000000000000 (pow.f64 x 3)))))
(fma.f64 -2134856267379707/1000000000000000 x (+.f64 (fma.f64 141673834365820945903/100000000000000000000 (.f64 x x) 16316775383/10000000000) (.f64 -14058152910286046641008787/10000000000000000000000000 (pow.f64 x 3))))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 141673834365820945903/100000000000000000000 (*.f64 x x) (fma.f64 -14058152910286046641008787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 x (*.f64 x 141673834365820945903/100000000000000000000) (fma.f64 -14058152910286046641008787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 x (*.f64 x (fma.f64 x -14058152910286046641008787/10000000000000000000000000 141673834365820945903/100000000000000000000)) (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 (*.f64 x -70711/100000) 1913510371/9922900000)
(fma.f64 x -70711/100000 1913510371/9922900000)
(+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 x -70711/100000) (/.f64 1427746267379707/984639444100000 x)))
(+.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (/.f64 1427746267379707/984639444100000 x))
(+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 1913510371/9922900000 (-.f64 (+.f64 (.f64 x -70711/100000) (/.f64 1427746267379707/984639444100000 x)) (/.f64 1427746267379707/977047873985989 (.f64 x x))))
(+.f64 1913510371/9922900000 (+.f64 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)) (/.f64 -1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (fma.f64 x -70711/100000 (/.f64 -1427746267379707/977047873985989 (*.f64 x x)))))
(+.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (+.f64 (/.f64 1427746267379707/984639444100000 x) (/.f64 -1427746267379707/977047873985989 (*.f64 x x))))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 (*.f64 x -70711/100000) 1913510371/9922900000)
(fma.f64 x -70711/100000 1913510371/9922900000)
(+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x)))
(+.f64 1913510371/9922900000 (+.f64 (*.f64 x -70711/100000) (/.f64 1427746267379707/984639444100000 x)))
(+.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (/.f64 1427746267379707/984639444100000 x))
(+.f64 1913510371/9922900000 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)))
(-.f64 (+.f64 1913510371/9922900000 (+.f64 (.f64 1427746267379707/984639444100000 (/.f64 1 x)) (.f64 -70711/100000 x))) (*.f64 1427746267379707/977047873985989 (/.f64 1 (pow.f64 x 2))))
(+.f64 1913510371/9922900000 (-.f64 (+.f64 (.f64 x -70711/100000) (/.f64 1427746267379707/984639444100000 x)) (/.f64 1427746267379707/977047873985989 (.f64 x x))))
(+.f64 1913510371/9922900000 (+.f64 (fma.f64 x -70711/100000 (/.f64 1427746267379707/984639444100000 x)) (/.f64 -1427746267379707/977047873985989 (*.f64 x x))))
(+.f64 1913510371/9922900000 (+.f64 (/.f64 1427746267379707/984639444100000 x) (fma.f64 x -70711/100000 (/.f64 -1427746267379707/977047873985989 (*.f64 x x)))))
(+.f64 (fma.f64 x -70711/100000 1913510371/9922900000) (+.f64 (/.f64 1427746267379707/984639444100000 x) (/.f64 -1427746267379707/977047873985989 (*.f64 x x))))
3765144869953399/1000000000000000
(+.f64 3765144869953399/1000000000000000 (*.f64 -329456734436669529371/50000000000000000000 x))
(+.f64 3765144869953399/1000000000000000 (*.f64 x -329456734436669529371/50000000000000000000))
(fma.f64 x -329456734436669529371/50000000000000000000 3765144869953399/1000000000000000)
(+.f64 3765144869953399/1000000000000000 (+.f64 (.f64 -329456734436669529371/50000000000000000000 x) (.f64 87140262730092617077164877/10000000000000000000000000 (pow.f64 x 2))))
(+.f64 3765144869953399/1000000000000000 (fma.f64 -329456734436669529371/50000000000000000000 x (.f64 (.f64 x x) 87140262730092617077164877/10000000000000000000000000)))
(+.f64 (fma.f64 x -329456734436669529371/50000000000000000000 3765144869953399/1000000000000000) (.f64 x (.f64 x 87140262730092617077164877/10000000000000000000000000)))
(fma.f64 x (*.f64 x 87140262730092617077164877/10000000000000000000000000) (fma.f64 x -329456734436669529371/50000000000000000000 3765144869953399/1000000000000000))
(fma.f64 x (fma.f64 x 87140262730092617077164877/10000000000000000000000000 -329456734436669529371/50000000000000000000) 3765144869953399/1000000000000000)
(+.f64 3765144869953399/1000000000000000 (+.f64 (.f64 -3052269176918562089698646476611/250000000000000000000000000000 (pow.f64 x 3)) (+.f64 (.f64 -329456734436669529371/50000000000000000000 x) (*.f64 87140262730092617077164877/10000000000000000000000000 (pow.f64 x 2)))))
(+.f64 3765144869953399/1000000000000000 (fma.f64 -3052269176918562089698646476611/250000000000000000000000000000 (pow.f64 x 3) (fma.f64 -329456734436669529371/50000000000000000000 x (.f64 (.f64 x x) 87140262730092617077164877/10000000000000000000000000))))
(+.f64 3765144869953399/1000000000000000 (fma.f64 (pow.f64 x 3) -3052269176918562089698646476611/250000000000000000000000000000 (fma.f64 x -329456734436669529371/50000000000000000000 (.f64 x (.f64 x 87140262730092617077164877/10000000000000000000000000)))))
(fma.f64 (pow.f64 x 3) -3052269176918562089698646476611/250000000000000000000000000000 (fma.f64 x (*.f64 x 87140262730092617077164877/10000000000000000000000000) (fma.f64 x -329456734436669529371/50000000000000000000 3765144869953399/1000000000000000)))
(fma.f64 x (fma.f64 x 87140262730092617077164877/10000000000000000000000000 -329456734436669529371/50000000000000000000) (fma.f64 (pow.f64 x 3) -3052269176918562089698646476611/250000000000000000000000000000 3765144869953399/1000000000000000))
(fma.f64 x -329456734436669529371/50000000000000000000 (fma.f64 x (*.f64 x (fma.f64 x -3052269176918562089698646476611/250000000000000000000000000000 87140262730092617077164877/10000000000000000000000000)) 3765144869953399/1000000000000000))
(*.f64 -70711/100000 (pow.f64 x 2))
(.f64 (.f64 x x) -70711/100000)
(.f64 x (.f64 x -70711/100000))
(+.f64 51781504149631/984639444100000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (.f64 (.f64 x x) -70711/100000) 51781504149631/984639444100000)
(fma.f64 (*.f64 x x) -70711/100000 51781504149631/984639444100000)
(fma.f64 x (*.f64 x -70711/100000) 51781504149631/984639444100000)
(+.f64 (.f64 38636241741562251127/48852393699299450000 (/.f64 1 x)) (+.f64 51781504149631/984639444100000 (.f64 -70711/100000 (pow.f64 x 2))))
(+.f64 (+.f64 (.f64 (.f64 x x) -70711/100000) 51781504149631/984639444100000) (/.f64 38636241741562251127/48852393699299450000 x))
(+.f64 (fma.f64 (*.f64 x x) -70711/100000 51781504149631/984639444100000) (/.f64 38636241741562251127/48852393699299450000 x))
(+.f64 51781504149631/984639444100000 (fma.f64 (*.f64 x x) -70711/100000 (/.f64 38636241741562251127/48852393699299450000 x)))
(+.f64 51781504149631/984639444100000 (fma.f64 x (*.f64 x -70711/100000) (/.f64 38636241741562251127/48852393699299450000 x)))
(+.f64 (.f64 38636241741562251127/48852393699299450000 (/.f64 1 x)) (+.f64 51781504149631/984639444100000 (+.f64 (.f64 -70711/100000 (pow.f64 x 2)) (*.f64 21100789778947605391854959/9695148348775570248100000 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 38636241741562251127/48852393699299450000 x) 51781504149631/984639444100000) (fma.f64 -70711/100000 (.f64 x x) (/.f64 21100789778947605391854959/9695148348775570248100000 (.f64 x x))))
(+.f64 51781504149631/984639444100000 (+.f64 (fma.f64 (*.f64 x x) -70711/100000 (/.f64 (/.f64 21100789778947605391854959/9695148348775570248100000 x) x)) (/.f64 38636241741562251127/48852393699299450000 x)))
(+.f64 51781504149631/984639444100000 (+.f64 (/.f64 38636241741562251127/48852393699299450000 x) (fma.f64 (*.f64 x x) -70711/100000 (/.f64 (/.f64 21100789778947605391854959/9695148348775570248100000 x) x))))
(+.f64 51781504149631/984639444100000 (+.f64 (/.f64 38636241741562251127/48852393699299450000 x) (fma.f64 x (.f64 x -70711/100000) (/.f64 21100789778947605391854959/9695148348775570248100000 (.f64 x x)))))
(*.f64 -70711/100000 (pow.f64 x 2))
(.f64 (.f64 x x) -70711/100000)
(.f64 x (.f64 x -70711/100000))
(+.f64 51781504149631/984639444100000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (.f64 (.f64 x x) -70711/100000) 51781504149631/984639444100000)
(fma.f64 (*.f64 x x) -70711/100000 51781504149631/984639444100000)
(fma.f64 x (*.f64 x -70711/100000) 51781504149631/984639444100000)
(+.f64 (.f64 38636241741562251127/48852393699299450000 (/.f64 1 x)) (+.f64 51781504149631/984639444100000 (.f64 -70711/100000 (pow.f64 x 2))))
(+.f64 (+.f64 (.f64 (.f64 x x) -70711/100000) 51781504149631/984639444100000) (/.f64 38636241741562251127/48852393699299450000 x))
(+.f64 (fma.f64 (*.f64 x x) -70711/100000 51781504149631/984639444100000) (/.f64 38636241741562251127/48852393699299450000 x))
(+.f64 51781504149631/984639444100000 (fma.f64 (*.f64 x x) -70711/100000 (/.f64 38636241741562251127/48852393699299450000 x)))
(+.f64 51781504149631/984639444100000 (fma.f64 x (*.f64 x -70711/100000) (/.f64 38636241741562251127/48852393699299450000 x)))
(+.f64 (.f64 38636241741562251127/48852393699299450000 (/.f64 1 x)) (+.f64 51781504149631/984639444100000 (+.f64 (.f64 -70711/100000 (pow.f64 x 2)) (*.f64 21100789778947605391854959/9695148348775570248100000 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 38636241741562251127/48852393699299450000 x) 51781504149631/984639444100000) (fma.f64 -70711/100000 (.f64 x x) (/.f64 21100789778947605391854959/9695148348775570248100000 (.f64 x x))))
(+.f64 51781504149631/984639444100000 (+.f64 (fma.f64 (*.f64 x x) -70711/100000 (/.f64 (/.f64 21100789778947605391854959/9695148348775570248100000 x) x)) (/.f64 38636241741562251127/48852393699299450000 x)))
(+.f64 51781504149631/984639444100000 (+.f64 (/.f64 38636241741562251127/48852393699299450000 x) (fma.f64 (*.f64 x x) -70711/100000 (/.f64 (/.f64 21100789778947605391854959/9695148348775570248100000 x) x))))
(+.f64 51781504149631/984639444100000 (+.f64 (/.f64 38636241741562251127/48852393699299450000 x) (fma.f64 x (.f64 x -70711/100000) (/.f64 21100789778947605391854959/9695148348775570248100000 (.f64 x x)))))
53246947009/10000000000
(+.f64 (*.f64 -4659200611456061/500000000000000 x) 53246947009/10000000000)
(fma.f64 -4659200611456061/500000000000000 x 53246947009/10000000000)
(fma.f64 x -4659200611456061/500000000000000 53246947009/10000000000)
(+.f64 (.f64 -4659200611456061/500000000000000 x) (+.f64 53246947009/10000000000 (.f64 1332343804077054730907/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -4659200611456061/500000000000000 x 53246947009/10000000000) (.f64 (.f64 x x) 1332343804077054730907/100000000000000000000))
(fma.f64 x -4659200611456061/500000000000000 (fma.f64 (*.f64 x x) 1332343804077054730907/100000000000000000000 53246947009/10000000000))
(fma.f64 x (*.f64 x 1332343804077054730907/100000000000000000000) (fma.f64 x -4659200611456061/500000000000000 53246947009/10000000000))
(fma.f64 x (fma.f64 x 1332343804077054730907/100000000000000000000 -4659200611456061/500000000000000) 53246947009/10000000000)
(+.f64 (.f64 -4659200611456061/500000000000000 x) (+.f64 53246947009/10000000000 (+.f64 (.f64 -43165408167308651973506901/2500000000000000000000000 (pow.f64 x 3)) (*.f64 1332343804077054730907/100000000000000000000 (pow.f64 x 2)))))
(+.f64 (fma.f64 -4659200611456061/500000000000000 x 53246947009/10000000000) (fma.f64 -43165408167308651973506901/2500000000000000000000000 (pow.f64 x 3) (.f64 (.f64 x x) 1332343804077054730907/100000000000000000000)))
(+.f64 (fma.f64 x -4659200611456061/500000000000000 53246947009/10000000000) (fma.f64 (.f64 x x) 1332343804077054730907/100000000000000000000 (.f64 (pow.f64 x 3) -43165408167308651973506901/2500000000000000000000000)))
(fma.f64 x -4659200611456061/500000000000000 (fma.f64 x (*.f64 x 1332343804077054730907/100000000000000000000) (fma.f64 (pow.f64 x 3) -43165408167308651973506901/2500000000000000000000000 53246947009/10000000000)))
(fma.f64 x -4659200611456061/500000000000000 (fma.f64 (*.f64 x x) (fma.f64 x -43165408167308651973506901/2500000000000000000000000 1332343804077054730907/100000000000000000000) 53246947009/10000000000))
732297721/9846394441
(+.f64 732297721/9846394441 (*.f64 1092792966909314/977047873985989 (/.f64 1 x)))
(+.f64 732297721/9846394441 (/.f64 1092792966909314/977047873985989 x))
(+.f64 732297721/9846394441 (+.f64 (.f64 1092792966909314/977047873985989 (/.f64 1 x)) (.f64 298408872437776376969/96951483487755702481 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 732297721/9846394441 (/.f64 1092792966909314/977047873985989 x)) (/.f64 298408872437776376969/96951483487755702481 (*.f64 x x)))
(+.f64 (/.f64 1092792966909314/977047873985989 x) (+.f64 732297721/9846394441 (/.f64 298408872437776376969/96951483487755702481 (*.f64 x x))))
(+.f64 732297721/9846394441 (+.f64 (/.f64 1092792966909314/977047873985989 x) (/.f64 298408872437776376969/96951483487755702481 (*.f64 x x))))
(-.f64 (+.f64 732297721/9846394441 (+.f64 (.f64 1092792966909314/977047873985989 (/.f64 1 x)) (.f64 298408872437776376969/96951483487755702481 (/.f64 1 (pow.f64 x 2))))) (*.f64 70609704156648415393800000/9620398755006510601487149 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (+.f64 732297721/9846394441 (/.f64 1092792966909314/977047873985989 x)) (/.f64 298408872437776376969/96951483487755702481 (*.f64 x x))) (/.f64 70609704156648415393800000/9620398755006510601487149 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1092792966909314/977047873985989 x) (+.f64 732297721/9846394441 (/.f64 298408872437776376969/96951483487755702481 (*.f64 x x)))) (/.f64 -70609704156648415393800000/9620398755006510601487149 (pow.f64 x 3)))
(+.f64 (/.f64 298408872437776376969/96951483487755702481 (*.f64 x x)) (+.f64 (+.f64 732297721/9846394441 (/.f64 1092792966909314/977047873985989 x)) (/.f64 -70609704156648415393800000/9620398755006510601487149 (pow.f64 x 3))))
(+.f64 (/.f64 1092792966909314/977047873985989 x) (+.f64 732297721/9846394441 (+.f64 (/.f64 298408872437776376969/96951483487755702481 (*.f64 x x)) (/.f64 -70609704156648415393800000/9620398755006510601487149 (pow.f64 x 3)))))
(+.f64 (/.f64 1092792966909314/977047873985989 x) (+.f64 732297721/9846394441 (.f64 (/.f64 1 (.f64 x x)) (-.f64 298408872437776376969/96951483487755702481 (/.f64 70609704156648415393800000/9620398755006510601487149 x)))))
(+.f64 (/.f64 1092792966909314/977047873985989 x) (fma.f64 (/.f64 1 (*.f64 x x)) (-.f64 298408872437776376969/96951483487755702481 (/.f64 70609704156648415393800000/9620398755006510601487149 x)) 732297721/9846394441))
732297721/9846394441
(+.f64 732297721/9846394441 (*.f64 1092792966909314/977047873985989 (/.f64 1 x)))
(+.f64 732297721/9846394441 (/.f64 1092792966909314/977047873985989 x))
(+.f64 732297721/9846394441 (+.f64 (.f64 1092792966909314/977047873985989 (/.f64 1 x)) (.f64 298408872437776376969/96951483487755702481 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 732297721/9846394441 (/.f64 1092792966909314/977047873985989 x)) (/.f64 298408872437776376969/96951483487755702481 (*.f64 x x)))
(+.f64 (/.f64 1092792966909314/977047873985989 x) (+.f64 732297721/9846394441 (/.f64 298408872437776376969/96951483487755702481 (*.f64 x x))))
(+.f64 732297721/9846394441 (+.f64 (/.f64 1092792966909314/977047873985989 x) (/.f64 298408872437776376969/96951483487755702481 (*.f64 x x))))
(-.f64 (+.f64 732297721/9846394441 (+.f64 (.f64 1092792966909314/977047873985989 (/.f64 1 x)) (.f64 298408872437776376969/96951483487755702481 (/.f64 1 (pow.f64 x 2))))) (*.f64 70609704156648415393800000/9620398755006510601487149 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (+.f64 732297721/9846394441 (/.f64 1092792966909314/977047873985989 x)) (/.f64 298408872437776376969/96951483487755702481 (*.f64 x x))) (/.f64 70609704156648415393800000/9620398755006510601487149 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1092792966909314/977047873985989 x) (+.f64 732297721/9846394441 (/.f64 298408872437776376969/96951483487755702481 (*.f64 x x)))) (/.f64 -70609704156648415393800000/9620398755006510601487149 (pow.f64 x 3)))
(+.f64 (/.f64 298408872437776376969/96951483487755702481 (*.f64 x x)) (+.f64 (+.f64 732297721/9846394441 (/.f64 1092792966909314/977047873985989 x)) (/.f64 -70609704156648415393800000/9620398755006510601487149 (pow.f64 x 3))))
(+.f64 (/.f64 1092792966909314/977047873985989 x) (+.f64 732297721/9846394441 (+.f64 (/.f64 298408872437776376969/96951483487755702481 (*.f64 x x)) (/.f64 -70609704156648415393800000/9620398755006510601487149 (pow.f64 x 3)))))
(+.f64 (/.f64 1092792966909314/977047873985989 x) (+.f64 732297721/9846394441 (.f64 (/.f64 1 (.f64 x x)) (-.f64 298408872437776376969/96951483487755702481 (/.f64 70609704156648415393800000/9620398755006510601487149 x)))))
(+.f64 (/.f64 1092792966909314/977047873985989 x) (fma.f64 (/.f64 1 (*.f64 x x)) (-.f64 298408872437776376969/96951483487755702481 (/.f64 70609704156648415393800000/9620398755006510601487149 x)) 732297721/9846394441))
230753/100000
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)

eval1.1s (10.9%)

Compiler: Compiled 23605 to 19332 computations (18.1% saved)

prune224.0ms (2.2%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	773	9	782
Fresh	2	5	7
Picked	1	0	1
Done	2	5	7
Total	778	19	797

Error

0.0b

Counts

797 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.0b	(*.f64 x -70711/100000)
▶	0.6b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
	2.8b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 16316775383/10000000000))) 3) 3)
✓	0.1b	(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (.f64 x 4481/100000))))) x))
	46.1b	(/.f64 1 (/.f64 (+.f64 1913510371/9922900000 (.f64 70711/100000 x)) (-.f64 3661521939924557641/98463944410000000000 (pow.f64 (.f64 -70711/100000 x) 2))))
	2.0b	(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 2) 3) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
	29.7b	(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
✓	28.1b	(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
▶	25.8b	(-.f64 (+.f64 1 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)) 1)
	33.3b	(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) x)) x))
	57.8b	1913510371/9922900000
	30.7b	16316775383/10000000000
	50.6b	(/.f64 (+.f64 7006360205689680003640794811/977047873985989000000000000000 (.f64 (pow.f64 x 3) -353558218835431/1000000000000000)) (+.f64 (pow.f64 (.f64 -70711/100000 x) 2) (-.f64 3661521939924557641/98463944410000000000 (*.f64 -135306231843781/992290000000000 x))))
	32.3b	(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
✓	25.8b	(.f64 70711/100000 (+.f64 (.f64 x -30191289437/10000000000) 230753/100000))
▶	46.1b	(.f64 (-.f64 3661521939924557641/98463944410000000000 (pow.f64 (.f64 -70711/100000 x) 2)) (/.f64 1 (+.f64 1913510371/9922900000 (*.f64 70711/100000 x))))
✓	0.6b	(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
▶	32.6b	(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
▶	25.8b	(+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)

Compiler

Compiled 440 to 358 computations (18.6% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 x) -70711/100000)
✓	0.6b	(pow.f64 (cbrt.f64 x) 2)
✓	0.6b	(cbrt.f64 x)
	16.6b	(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

Compiler

Compiled 67 to 47 computations (29.9% saved)

series12.0ms (0.1%)

Counts

3 → 0

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(cbrt.f64 x)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 x) 2)
1.0ms	x	@	-inf	(cbrt.f64 x)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 x) 2)
1.0ms	x	@	-inf	(*.f64 (cbrt.f64 x) -70711/100000)

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

542×	`pow1_binary64`
530×	`add-sqr-sqrt_binary64`
507×	`add-log-exp_binary64`
507×	`log1p-expm1-u_binary64`
507×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	142	15
2	1459	15

Stop Event

1×	node limit

Counts

3 → 47

Calls

Call 1

Inputs
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (cbrt.f64 x) -70711/100000)

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cbrt.f64 x) -70711/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 x) -70711/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) -70711/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) -70711/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) -70711/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 5000045521/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -70711/100000) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) -70711/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 x) -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 x) -70711/100000)))))))

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

47 → 47

Calls

Call 1

Inputs

Outputs

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)
✓	0.3b	(*.f64 x -2134856267379707/1000000000000000)

Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 x -2134856267379707/1000000000000000)
0.0ms	x	@	inf	(*.f64 x -2134856267379707/1000000000000000)
0.0ms	x	@	-inf	(*.f64 x -2134856267379707/1000000000000000)
0.0ms	x	@	inf	(+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)
0.0ms	x	@	-inf	(+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)

rewrite232.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

642×	`pow1_binary64`
607×	`add-log-exp_binary64`
607×	`log1p-expm1-u_binary64`
607×	`expm1-log1p-u_binary64`
598×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	133	9
2	1589	9

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(*.f64 x -2134856267379707/1000000000000000)
(+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -2134856267379707/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -2134856267379707/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -2134856267379707/1000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -2134856267379707/1000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -9729845010448944041464861582745334487291706243/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x -2134856267379707/1000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -2134856267379707/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -9729845010448944041464861582745334487291706243/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -2134856267379707/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -2134856267379707/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -2134856267379707/1000000000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x -2134856267379707/1000000000000000) 2) (fma.f64 x -2134856267379707/1000000000000000 -16316775383/10000000000)) (/.f64 266237158899274796689/100000000000000000000 (fma.f64 x -2134856267379707/1000000000000000 -16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)) (pow.f64 (cbrt.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)) 2) (cbrt.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)) (sqrt.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (*.f64 -9729845010448944041464861582745334487291706243/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x -2134856267379707/1000000000000000) 2) (-.f64 266237158899274796689/100000000000000000000 (*.f64 x -34833970189824469091352781/10000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x -2134856267379707/1000000000000000) 2) -266237158899274796689/100000000000000000000) (/.f64 1 (fma.f64 x -2134856267379707/1000000000000000 -16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x -2134856267379707/1000000000000000) 2) (-.f64 266237158899274796689/100000000000000000000 (*.f64 x -34833970189824469091352781/10000000000000000000000000))) (+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (*.f64 -9729845010448944041464861582745334487291706243/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x -2134856267379707/1000000000000000 -16316775383/10000000000) (+.f64 (pow.f64 (*.f64 x -2134856267379707/1000000000000000) 2) -266237158899274796689/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (*.f64 -9729845010448944041464861582745334487291706243/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 x -2134856267379707/1000000000000000) 2) (-.f64 266237158899274796689/100000000000000000000 (*.f64 x -34833970189824469091352781/10000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (*.f64 -9729845010448944041464861582745334487291706243/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 266237158899274796689/100000000000000000000 (-.f64 (pow.f64 (*.f64 x -2134856267379707/1000000000000000) 2) (*.f64 x -34833970189824469091352781/10000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -2134856267379707/1000000000000000) 2) -266237158899274796689/100000000000000000000) (fma.f64 x -2134856267379707/1000000000000000 -16316775383/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (*.f64 -9729845010448944041464861582745334487291706243/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x -2134856267379707/1000000000000000) 2) (-.f64 266237158899274796689/100000000000000000000 (*.f64 x -34833970189824469091352781/10000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x -2134856267379707/1000000000000000) 2) -266237158899274796689/100000000000000000000)) (neg.f64 (fma.f64 x -2134856267379707/1000000000000000 -16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 266237158899274796689/100000000000000000000 (pow.f64 (*.f64 x -2134856267379707/1000000000000000) 2)) (-.f64 16316775383/10000000000 (*.f64 x -2134856267379707/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -2134856267379707/1000000000000000)) 2) (cbrt.f64 (*.f64 x -2134856267379707/1000000000000000)) 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -2134856267379707/1000000000000000)) (sqrt.f64 (*.f64 x -2134856267379707/1000000000000000)) 16316775383/10000000000)))))

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	102
1	9	102
2	10	102

Stop Event

1×

saturated

Counts

67 → 46

Calls

Call 1

Inputs
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)

Outputs
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000))
	0.0b	(+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)
✓	0.0b	(-.f64 (+.f64 1 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)) 1)
	0.3b	(*.f64 x -2134856267379707/1000000000000000)

Compiler

Compiled 29 to 24 computations (17.2% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 (+.f64 1 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)) 1)
1.0ms	x	@	inf	(-.f64 (+.f64 1 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)) 1)
1.0ms	x	@	0	(+.f64 1 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000))
1.0ms	x	@	-inf	(-.f64 (+.f64 1 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)) 1)
0.0ms	x	@	inf	(+.f64 1 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000))

rewrite87.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`prod-diff_binary64`
568×	`unpow-prod-down_binary64`
394×	`fma-def_binary64`
364×	`log-prod_binary64`
258×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	210	12
2	2858	10

Stop Event

1×	node limit

Counts

2 → 185

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)) 1)
(+.f64 1 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 x -2134856267379707/1000000000000000 6316775383/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 x -2134856267379707/1000000000000000 6316775383/10000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 16316775383/10000000000 (*.f64 x -2134856267379707/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x -2134856267379707/1000000000000000 26316775383/10000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 x -2134856267379707/1000000000000000 26316775383/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x -2134856267379707/1000000000000000 6316775383/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x -2134856267379707/1000000000000000 1) 6316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)) (pow.f64 (cbrt.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)) 2) (cbrt.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)) (sqrt.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x -2134856267379707/1000000000000000 26316775383/10000000000) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x -2134856267379707/1000000000000000 26316775383/10000000000) 2) (+.f64 1 (fma.f64 x -2134856267379707/1000000000000000 26316775383/10000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x -2134856267379707/1000000000000000 26316775383/10000000000) 3) -1) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x -2134856267379707/1000000000000000 26316775383/10000000000) 2) (+.f64 1 (fma.f64 x -2134856267379707/1000000000000000 26316775383/10000000000)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) -9729845010448944041464861582745334487291706243/1000000000000000000000000000000000000000000000 4344131920367546379167405106887/1000000000000000000000000000000) (/.f64 1 (-.f64 (fma.f64 (*.f64 x x) 4557611282370415026291715405849/1000000000000000000000000000000 266237158899274796689/100000000000000000000) (*.f64 x -34833970189824469091352781/10000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) -9729845010448944041464861582745334487291706243/1000000000000000000000000000000000000000000000 4344131920367546379167405106887/1000000000000000000000000000000) (pow.f64 (/.f64 1 (-.f64 (fma.f64 (*.f64 x x) 4557611282370415026291715405849/1000000000000000000000000000000 266237158899274796689/100000000000000000000) (*.f64 x -34833970189824469091352781/10000000000000000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x -2134856267379707/1000000000000000 26316775383/10000000000) 2) -1) (/.f64 1 (+.f64 1 (fma.f64 x -2134856267379707/1000000000000000 26316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x -2134856267379707/1000000000000000 26316775383/10000000000) 2) -1) (pow.f64 (/.f64 1 (+.f64 1 (fma.f64 x -2134856267379707/1000000000000000 26316775383/10000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) 4557611282370415026291715405849/1000000000000000000000000000000 -266237158899274796689/100000000000000000000) (/.f64 1 (fma.f64 x -2134856267379707/1000000000000000 -16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) 4557611282370415026291715405849/1000000000000000000000000000000 -266237158899274796689/100000000000000000000) (pow.f64 (/.f64 1 (fma.f64 x -2134856267379707/1000000000000000 -16316775383/10000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 x -2134856267379707/1000000000000000 26316775383/10000000000)) 1) (-.f64 (sqrt.f64 (fma.f64 x -2134856267379707/1000000000000000 26316775383/10000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x -2134856267379707/1000000000000000 26316775383/10000000000)) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 x -2134856267379707/1000000000000000 26316775383/10000000000)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))) 2) 3) (cbrt.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000) 2) (pow.f64 (cbrt.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000) 2) (sqrt.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x -2134856267379707/1000000000000000 26316775383/10000000000) 2) (+.f64 1 (fma.f64 x -2134856267379707/1000000000000000 26316775383/10000000000))) (+.f64 (pow.f64 (fma.f64 x -2134856267379707/1000000000000000 26316775383/10000000000) 3) -1)))))) 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simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	108
1	13	108
2	15	108

Stop Event

1×

saturated

Counts

209 → 190

Calls

Call 1

Inputs
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
26316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 26316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 26316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 26316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 26316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 26316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 26316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 26316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 26316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 26316775383/10000000000)

Outputs
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
26316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 26316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 26316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 26316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 26316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 26316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 26316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 26316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 26316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 26316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 26316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 26316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 26316775383/10000000000)
(*.f64 -2134856267379707/1000000000000000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 26316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 26316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 26316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 26316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 26316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 26316775383/10000000000)

localize139.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 -70711/100000 x)
✓	0.1b	(*.f64 70711/100000 x)
✓	0.2b	(pow.f64 (*.f64 -70711/100000 x) 2)
✓	17.3b	(.f64 (-.f64 3661521939924557641/98463944410000000000 (pow.f64 (.f64 -70711/100000 x) 2)) (/.f64 1 (+.f64 1913510371/9922900000 (*.f64 70711/100000 x))))

Compiler

Compiled 53 to 44 computations (17% saved)

series4.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (-.f64 3661521939924557641/98463944410000000000 (pow.f64 (.f64 -70711/100000 x) 2)) (/.f64 1 (+.f64 1913510371/9922900000 (*.f64 70711/100000 x))))
1.0ms	x	@	-inf	(.f64 (-.f64 3661521939924557641/98463944410000000000 (pow.f64 (.f64 -70711/100000 x) 2)) (/.f64 1 (+.f64 1913510371/9922900000 (*.f64 70711/100000 x))))
1.0ms	x	@	inf	(.f64 (-.f64 3661521939924557641/98463944410000000000 (pow.f64 (.f64 -70711/100000 x) 2)) (/.f64 1 (+.f64 1913510371/9922900000 (*.f64 70711/100000 x))))
0.0ms	x	@	0	(pow.f64 (*.f64 -70711/100000 x) 2)
0.0ms	x	@	-inf	(pow.f64 (*.f64 -70711/100000 x) 2)

rewrite88.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`log-prod_binary64`
317×	`pow2_binary64`
314×	`prod-diff_binary64`
224×	`fma-def_binary64`
221×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	30
1	331	16
2	4083	16

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

Inputs

(*.f64 (-.f64 3661521939924557641/98463944410000000000 (pow.f64 (*.f64 -70711/100000 x) 2)) (/.f64 1 (+.f64 1913510371/9922900000 (*.f64 70711/100000 x))))

(pow.f64 (*.f64 -70711/100000 x) 2)

(*.f64 70711/100000 x)

Outputs

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3661521939924557641/98463944410000000000 (/.f64 1 (fma.f64 -70711/100000 x 1913510371/9922900000))) (*.f64 (*.f64 -5000045521/10000000000 (*.f64 x x)) (/.f64 1 (fma.f64 -70711/100000 x 1913510371/9922900000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 -70711/100000 x 1913510371/9922900000)) 3661521939924557641/98463944410000000000) (*.f64 (/.f64 1 (fma.f64 -70711/100000 x 1913510371/9922900000)) (*.f64 -5000045521/10000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -70711/100000 x 1913510371/9922900000))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -70711/100000 x 1913510371/9922900000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1913510371/9922900000 (*.f64 -70711/100000 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fma.f64 x -70711/100000 1913510371/9922900000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 70711/100000 1913510371/9922900000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -70711/100000 x) 1 1913510371/9922900000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -70711/100000 x) 1913510371/9922900000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 70711/100000 x 1913510371/9922900000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 -70711/100000 x 1913510371/9922900000)) 3661521939924557641/98463944410000000000 (*.f64 (/.f64 1 (fma.f64 -70711/100000 x 1913510371/9922900000)) (*.f64 -5000045521/10000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -70711/100000 x)) (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2) 1913510371/9922900000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2) (cbrt.f64 (*.f64 -70711/100000 x)) 1913510371/9922900000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -70711/100000) 1913510371/9922900000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 70711/100000) 1913510371/9922900000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -70711/100000 x)) (sqrt.f64 (*.f64 -70711/100000 x)) 1913510371/9922900000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -70711/100000) 1913510371/9922900000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 70711/100000) 1913510371/9922900000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 -70711/100000 x) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2)) 1913510371/9922900000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -70711/100000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1913510371/9922900000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -70711/100000 (sqrt.f64 x)) (sqrt.f64 x) 1913510371/9922900000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 70711/100000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1913510371/9922900000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 70711/100000 (sqrt.f64 x)) (sqrt.f64 x) 1913510371/9922900000)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 5000045521/10000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 5000045521/10000000000) (*.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 5000045521/10000000000) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5000045521/10000000000) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 5000045521/10000000000) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 5000045521/10000000000 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -70711/100000 (*.f64 x (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 70711/100000 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 -70711/100000 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -70711/100000 x) (*.f64 -70711/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 5000045521/10000000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 5000045521/10000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 70711/100000 (*.f64 x (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000045521/10000000000 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 5000045521/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2) (cbrt.f64 (pow.f64 (*.f64 -70711/100000 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2) (*.f64 (cbrt.f64 (*.f64 -70711/100000 x)) (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 -70711/100000 x) 4)) (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -70711/100000 x)) (*.f64 (sqrt.f64 (*.f64 -70711/100000 x)) (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 -70711/100000 x)) 3) (sqrt.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -70711/100000 x) 70711/100000) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -70711/100000 x) -70711/100000) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -70711/100000 x) x) -70711/100000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -70711/100000 x) x) 70711/100000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -70711/100000 x) (pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 2)) (cbrt.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -70711/100000 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 5000045521/10000000000) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 5000045521/10000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -70711/100000 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 5000045521/10000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 5000045521/10000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 -70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 -70711/100000 x))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -70711/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -70711/100000) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -70711/100000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -70711/100000) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -70711/100000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -70711/100000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -70711/100000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 5000045521/10000000000 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -70711/100000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -70711/100000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 353558218835431/1000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 5000045521/10000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 -70711/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -70711/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -70711/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 353558218835431/1000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -70711/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -70711/100000 x)) 1))))))

simplify171.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	156
1	18	138
2	31	138
3	56	138
4	135	138
5	393	138
6	1457	138
7	2351	138
8	2515	138
9	2728	138
10	2948	138
11	3254	138
12	3658	138
13	4145	138
14	4713	138
15	5399	138
16	6234	138
17	6632	138
18	6920	138
19	7198	138
20	7268	138
21	7302	138

Stop Event

1×	node limit

Counts

163 → 143

Calls

Call 1

Inputs
1913510371/9922900000
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(*.f64 -70711/100000 x)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(*.f64 -70711/100000 x)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(*.f64 5000045521/10000000000 (pow.f64 x 2))

Outputs
1913510371/9922900000
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 1913510371/9922900000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 1913510371/9922900000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 1913510371/9922900000)
(*.f64 -70711/100000 x)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 1913510371/9922900000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 1913510371/9922900000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 1913510371/9922900000)
(*.f64 -70711/100000 x)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 1913510371/9922900000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 1913510371/9922900000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x 1913510371/9922900000)
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(.f64 5000045521/10000000000 (.f64 x x))
(.f64 x (.f64 x 5000045521/10000000000))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(.f64 5000045521/10000000000 (.f64 x x))
(.f64 x (.f64 x 5000045521/10000000000))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(.f64 5000045521/10000000000 (.f64 x x))
(.f64 x (.f64 x 5000045521/10000000000))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(.f64 5000045521/10000000000 (.f64 x x))
(.f64 x (.f64 x 5000045521/10000000000))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(.f64 5000045521/10000000000 (.f64 x x))
(.f64 x (.f64 x 5000045521/10000000000))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(.f64 5000045521/10000000000 (.f64 x x))
(.f64 x (.f64 x 5000045521/10000000000))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(.f64 5000045521/10000000000 (.f64 x x))
(.f64 x (.f64 x 5000045521/10000000000))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(.f64 5000045521/10000000000 (.f64 x x))
(.f64 x (.f64 x 5000045521/10000000000))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(.f64 5000045521/10000000000 (.f64 x x))
(.f64 x (.f64 x 5000045521/10000000000))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(.f64 5000045521/10000000000 (.f64 x x))
(.f64 x (.f64 x 5000045521/10000000000))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(.f64 5000045521/10000000000 (.f64 x x))
(.f64 x (.f64 x 5000045521/10000000000))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(.f64 5000045521/10000000000 (.f64 x x))
(.f64 x (.f64 x 5000045521/10000000000))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x -70711/100000)
✓	0.6b	(cbrt.f64 (*.f64 x -70711/100000))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)

Compiler

Compiled 17 to 13 computations (23.5% saved)

series6.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
1.0ms	x	@	0	(cbrt.f64 (*.f64 x -70711/100000))
1.0ms	x	@	-inf	(cbrt.f64 (*.f64 x -70711/100000))

rewrite84.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

522×	`pow1_binary64`
518×	`add-sqr-sqrt_binary64`
497×	`add-log-exp_binary64`
497×	`log1p-expm1-u_binary64`
497×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	149	10
2	1400	10

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
(cbrt.f64 (*.f64 x -70711/100000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -70711/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x -70711/100000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (cbrt.f64 -70711/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -70711/100000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -70711/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x -70711/100000)) (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2) (cbrt.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))) (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 -70711/100000) (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x -70711/100000) 1/6) (*.f64 (pow.f64 (*.f64 x -70711/100000) 1/6) (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x -70711/100000)) (sqrt.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))) 2) 3) (cbrt.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x -70711/100000) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x -70711/100000) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -70711/100000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -70711/100000 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2) 1) (cbrt.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2) (cbrt.f64 x)) (cbrt.f64 -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2) (pow.f64 (*.f64 x -70711/100000) 1/6)) (pow.f64 (*.f64 x -70711/100000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 5000045521/10000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -70711/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -70711/100000)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 x -70711/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x -70711/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -70711/100000) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x -70711/100000) 1/6) (pow.f64 (*.f64 x -70711/100000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 1/3) (pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -70711/100000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -70711/100000) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x -70711/100000))))))))

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

49 → 49

Calls

Call 1

Inputs

Outputs

eval424.0ms (4.1%)

Compiler: Compiled 10760 to 8483 computations (21.2% saved)

prune185.0ms (1.8%)

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	645	11	656
Fresh	6	3	9
Picked	0	1	1
Done	2	7	9
Total	653	22	675

Error

0.0b

Counts

675 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	30.7b	16316775383/10000000000
	46.1b	(.f64 (-.f64 3661521939924557641/98463944410000000000 (.f64 (.f64 (.f64 -70711/100000 x) x) -70711/100000)) (/.f64 1 (+.f64 1913510371/9922900000 (*.f64 70711/100000 x))))
✓	32.0b	(*.f64 x -70711/100000)
✓	25.8b	(.f64 70711/100000 (+.f64 (.f64 x -30191289437/10000000000) 230753/100000))
	29.4b	(/.f64 (-.f64 266237158899274796689/100000000000000000000 (.f64 (.f64 x x) 4557611282370415026291715405849/1000000000000000000000000000000)) (-.f64 16316775383/10000000000 (*.f64 x -2134856267379707/1000000000000000)))
✓	28.1b	(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
✓	25.8b	(-.f64 (+.f64 1 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)) 1)
	0.6b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) -70711/100000) 3)) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
	0.8b	(fma.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x))) 2) (.f64 (cbrt.f64 x) -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
	33.1b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))) 3) 3)
✓	32.6b	(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
	32.6b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) -70711/100000))
✓	25.8b	(+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)
	28.1b	(/.f64 1 (/.f64 1 (fma.f64 -70711/100000 x 1913510371/9922900000)))
	46.1b	(.f64 (-.f64 3661521939924557641/98463944410000000000 (.f64 x (.f64 x 5000045521/10000000000))) (/.f64 1 (+.f64 1913510371/9922900000 (.f64 70711/100000 x))))
	33.3b	(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) x)) x))
	57.8b	1913510371/9922900000
✓	0.1b	(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (.f64 x 4481/100000))))) x))
	32.9b	(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 -70711/100000)) 3)
	32.3b	(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
	47.2b	(.f64 (.f64 -70711/100000 (sqrt.f64 x)) (sqrt.f64 x))
✓	0.6b	(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))

Compiler

Compiled 252 to 202 computations (19.8% saved)

regimes128.0ms (1.2%)

Counts

41 → 1

Calls

Call 1

Inputs
16316775383/10000000000
1913510371/9922900000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(.f64 70711/100000 (+.f64 (.f64 x -30191289437/10000000000) 230753/100000))
(-.f64 (+.f64 1 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)) 1)
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
(.f64 70711/100000 (-.f64 (+.f64 230753/100000 (.f64 -20191289437/10000000000 x)) x))
(/.f64 (-.f64 266237158899274796689/100000000000000000000 (.f64 (.f64 x x) 4557611282370415026291715405849/1000000000000000000000000000000)) (-.f64 16316775383/10000000000 (*.f64 x -2134856267379707/1000000000000000)))
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) x)) x))
(.f64 (-.f64 3661521939924557641/98463944410000000000 (.f64 x (.f64 x 5000045521/10000000000))) (/.f64 1 (+.f64 1913510371/9922900000 (.f64 70711/100000 x))))
(.f64 70711/100000 (-.f64 (+.f64 27061/99229 (.f64 (/.f64 1 x) (+.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x)))) x))
(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
(.f64 (-.f64 3661521939924557641/98463944410000000000 (.f64 (.f64 (.f64 -70711/100000 x) x) -70711/100000)) (/.f64 1 (+.f64 1913510371/9922900000 (*.f64 70711/100000 x))))
(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (.f64 x 4481/100000))))) x))
(/.f64 1 (/.f64 1 (fma.f64 -70711/100000 x 1913510371/9922900000)))
(fma.f64 x -70711/100000 (+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000))
(/.f64 1 (/.f64 (+.f64 1913510371/9922900000 (.f64 70711/100000 x)) (-.f64 3661521939924557641/98463944410000000000 (pow.f64 (.f64 -70711/100000 x) 2))))
(.f64 (-.f64 3661521939924557641/98463944410000000000 (pow.f64 (.f64 -70711/100000 x) 2)) (/.f64 1 (+.f64 1913510371/9922900000 (*.f64 70711/100000 x))))
(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
(.f64 (.f64 -70711/100000 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (+.f64 7006360205689680003640794811/977047873985989000000000000000 (.f64 (pow.f64 x 3) -353558218835431/1000000000000000)) (+.f64 (pow.f64 (.f64 -70711/100000 x) 2) (-.f64 3661521939924557641/98463944410000000000 (*.f64 -135306231843781/992290000000000 x))))
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 -70711/100000)) 3)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) -70711/100000))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))) 3) 3)
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 16316775383/10000000000))) 3) 3)
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1)) 2) (.f64 x x)) 70711/100000) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 99229/100000 1))))
(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 3) 3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) -70711/100000) 3)) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -353558218835431/1000000000000000) 4344131920367546379167405106887/1000000000000000000000000000000) (+.f64 (pow.f64 (.f64 x -70711/100000) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (.f64 (.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
(fma.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x))) 2) (.f64 (cbrt.f64 x) -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 2) 3) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -353558218835431/1000000000000000) (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -3)) (+.f64 (pow.f64 (.f64 x -70711/100000) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (.f64 (.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))

Outputs
(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (.f64 x 4481/100000))))) x))

Calls

3 calls:

35.0ms

24.0ms

(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))

23.0ms

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

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (.f64 x 4481/100000))))) x))`
0.1b	1	`(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)`

Compiler

Compiled 637 to 495 computations (22.3% saved)

regimes29.0ms (0.3%)

Counts

18 → 1

Calls

Call 1

Inputs
16316775383/10000000000
1913510371/9922900000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(.f64 70711/100000 (+.f64 (.f64 x -30191289437/10000000000) 230753/100000))
(-.f64 (+.f64 1 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)) 1)
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
(.f64 70711/100000 (-.f64 (+.f64 230753/100000 (.f64 -20191289437/10000000000 x)) x))
(/.f64 (-.f64 266237158899274796689/100000000000000000000 (.f64 (.f64 x x) 4557611282370415026291715405849/1000000000000000000000000000000)) (-.f64 16316775383/10000000000 (*.f64 x -2134856267379707/1000000000000000)))
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) x)) x))
(.f64 (-.f64 3661521939924557641/98463944410000000000 (.f64 x (.f64 x 5000045521/10000000000))) (/.f64 1 (+.f64 1913510371/9922900000 (.f64 70711/100000 x))))
(.f64 70711/100000 (-.f64 (+.f64 27061/99229 (.f64 (/.f64 1 x) (+.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x)))) x))
(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
(.f64 (-.f64 3661521939924557641/98463944410000000000 (.f64 (.f64 (.f64 -70711/100000 x) x) -70711/100000)) (/.f64 1 (+.f64 1913510371/9922900000 (*.f64 70711/100000 x))))

Outputs
(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
0.6b	1	`x`

Compiler

Compiled 151 to 121 computations (19.9% saved)

regimes56.0ms (0.5%)

Counts

16 → 3

Calls

Call 1

Inputs
16316775383/10000000000
1913510371/9922900000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)
(+.f64 1913510371/9922900000 (*.f64 -70711/100000 x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(.f64 70711/100000 (+.f64 (.f64 x -30191289437/10000000000) 230753/100000))
(-.f64 (+.f64 1 (+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)) 1)
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x))
(.f64 70711/100000 (-.f64 (+.f64 230753/100000 (.f64 -20191289437/10000000000 x)) x))
(/.f64 (-.f64 266237158899274796689/100000000000000000000 (.f64 (.f64 x x) 4557611282370415026291715405849/1000000000000000000000000000000)) (-.f64 16316775383/10000000000 (*.f64 x -2134856267379707/1000000000000000)))
(*.f64 70711/100000 (-.f64 (+.f64 27061/99229 (/.f64 (+.f64 (/.f64 -2019128943700000/977047873985989 x) 20191289437/9846394441) x)) x))
(.f64 (-.f64 3661521939924557641/98463944410000000000 (.f64 x (.f64 x 5000045521/10000000000))) (/.f64 1 (+.f64 1913510371/9922900000 (.f64 70711/100000 x))))
(.f64 70711/100000 (-.f64 (+.f64 27061/99229 (.f64 (/.f64 1 x) (+.f64 20191289437/9846394441 (/.f64 -2019128943700000/977047873985989 x)))) x))

Outputs
(*.f64 x -70711/100000)
(+.f64 (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)
(*.f64 x -70711/100000)

Calls

1 calls:

48.0ms

Results

Error	Segments	Branch
0.5b	3	`x`

Compiler

Compiled 119 to 95 computations (20.2% saved)

bsearch80.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	8.954158134575105e-13	4.15177225914902
41.0ms	-6736524540.664547	-0.00011080884447464216

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes25.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

Inputs
16316775383/10000000000
1913510371/9922900000
16316775383/10000000000
(*.f64 x -70711/100000)

Outputs
(*.f64 x -70711/100000)
16316775383/10000000000
(*.f64 x -70711/100000)

Calls

1 calls:

23.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch80.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	8.954158134575105e-13	4.15177225914902
40.0ms	-6736524540.664547	-0.00011080884447464216

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes11.0ms (0.1%)

Accuracy

Total -27.1b remaining (-88.2%)

Threshold costs -27.1b (-88.2%)

Counts

3 → 1

Calls

Call 1

Inputs
16316775383/10000000000
1913510371/9922900000
16316775383/10000000000

Outputs
16316775383/10000000000

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
30.7b	1	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
8×	`+-commutative_binary64`
3×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	99
1	55	99
2	60	99
3	62	99
4	63	99

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (.f64 x 4481/100000))))) x))
(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
(if (<=.f64 x -1765939489187967/262144) (.f64 x -70711/100000) (if (<=.f64 x 4433884349153365/4951760157141521099596496896) (+.f64 (.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000) (*.f64 x -70711/100000)))
(if (<=.f64 x -1765939489187967/262144) (.f64 x -70711/100000) (if (<=.f64 x 4433884349153365/4951760157141521099596496896) 16316775383/10000000000 (.f64 x -70711/100000)))
16316775383/10000000000

Outputs
(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (.f64 x 4481/100000))))) x))
(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (*.f64 x 99229/100000))) x))
(if (<=.f64 x -1765939489187967/262144) (.f64 x -70711/100000) (if (<=.f64 x 4433884349153365/4951760157141521099596496896) (+.f64 (.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000) (*.f64 x -70711/100000)))
(if (<=.f64 x -1765939489187967/262144) (.f64 x -70711/100000) (if (<=.f64 x 4433884349153365/4951760157141521099596496896) 16316775383/10000000000 (.f64 x -70711/100000)))
16316775383/10000000000

Compiler

Compiled 74 to 58 computations (21.6% saved)

soundness0.0ms (0%)

end71.0ms (0.7%)

Compiler: Compiled 70 to 54 computations (22.9% saved)