Details

analyze7.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
75%	75%	25%	0%	0%	0%	0%	5
87.5%	87.5%	12.5%	0%	0%	0%	0%	6
93.8%	93.7%	6.2%	0%	0%	0%	0%	7
96.9%	96.8%	3.1%	0%	0%	0%	0%	8
98.4%	98.4%	1.6%	0%	0%	0%	0%	9
99.2%	99.2%	0.8%	0%	0%	0%	0%	10
99.6%	99.6%	0.4%	0%	0%	0%	0%	11
99.8%	99.8%	0.2%	0%	0%	0%	0%	12

Compiler

Compiled 19 to 15 computations (21.1% saved)

sample1.4s (20.8%)

Results

1.4s

8256×

body

256

valid

Bogosity

preprocess86.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

1274×	`fma-neg_binary64`
639×	`fma-def_binary64`
397×	`div-sub_binary64`
343×	`associate-/l*_binary64`
332×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	31	19
2	60	19
3	83	19
4	98	19
5	117	19
6	163	19
7	252	19
8	422	19
9	673	19
10	1548	19
11	3687	19
12	5986	19
13	7642	19
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs

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

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

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1274×	`fma-neg_binary64`
639×	`fma-def_binary64`
397×	`div-sub_binary64`
343×	`associate-/l*_binary64`
332×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	31	19
2	60	19
3	83	19
4	98	19
5	117	19
6	163	19
7	252	19
8	422	19
9	673	19
10	1548	19
11	3687	19
12	5986	19
13	7642	19

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

Outputs

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

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

eval1.0ms (0%)

Compiler: Compiled 32 to 24 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize30.0ms (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)
✓	13.6b	(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))

Compiler

Compiled 71 to 55 computations (22.5% saved)

series8.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite103.0ms (1.5%)

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)))))))

simplify64.0ms (0.9%)

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))

eval78.0ms (1.2%)

Compiler: Compiled 2991 to 2284 computations (23.6% saved)

prune32.0ms (0.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	132	11	143
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	132	12	144

Error

Counts

144 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	0.0b	(-.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 27061/100000 230753/100000)) -1) x)
▶	2.6b	(-.f64 230753/100000 x)
	0.0b	(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (/.f64 (.f64 (-.f64 9846394441/10000000000 (pow.f64 (.f64 x 4481/100000) 2)) x) (+.f64 99229/100000 (.f64 -4481/100000 x))))) x)
	0.5b	(-.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3) x)
▶	0.0b	(-.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) x)
	30.9b	(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)
	30.2b	(-.f64 (/.f64 27061/4481 x) x)
	19.0b	(-.f64 (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))) x)
✓	0.0b	(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
▶	32.9b	(-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) x)
▶	1.9b	(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x 99229/100000))) x)
▶	27.9b	(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)

Compiler

Compiled 322 to 246 computations (23.6% saved)

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 x 4481/100000 99229/100000)
✓	0.2b	(fma.f64 x 27061/100000 230753/100000)
✓	0.4b	(/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
✓	13.3b	(*.f64 (fma.f64 x 27061/100000 230753/100000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

Compiler

Compiled 61 to 47 computations (23% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
0.0ms	x	@	0	(*.f64 (fma.f64 x 27061/100000 230753/100000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
0.0ms	x	@	-inf	(*.f64 (fma.f64 x 27061/100000 230753/100000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
0.0ms	x	@	-inf	(/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
0.0ms	x	@	inf	(*.f64 (fma.f64 x 27061/100000 230753/100000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

rewrite89.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

592×	`unpow-prod-down_binary64`
459×	`log-prod_binary64`
366×	`exp-prod_binary64`
284×	`pow2_binary64`
243×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	248	38
2	2739	38

Stop Event

1×	node limit

Counts

4 → 172

Calls

Call 1

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

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

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

596×	`fma-def_binary64`
578×	`associate-*l/_binary64`
540×	`associate-/l/_binary64`
490×	`fma-neg_binary64`
400×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	516
1	190	492
2	467	487
3	1270	474
4	3846	474

Stop Event

1×	node limit

Counts

220 → 211

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)))))
1
(+.f64 1 (*.f64 -99229/100000 x))
(+.f64 1 (+.f64 (.f64 9398294441/10000000000 (pow.f64 x 2)) (.f64 -99229/100000 x)))
(+.f64 1 (+.f64 (.f64 9398294441/10000000000 (pow.f64 x 2)) (+.f64 (.f64 -99229/100000 x) (*.f64 -888118844185989/1000000000000000 (pow.f64 x 3)))))
(/.f64 100000/4481 (pow.f64 x 2))
(-.f64 (.f64 100000/4481 (/.f64 1 (pow.f64 x 2))) (.f64 9922900000/20079361 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 939829444100000/89975616641 (/.f64 1 (pow.f64 x 4))) (.f64 100000/4481 (/.f64 1 (pow.f64 x 2)))) (*.f64 9922900000/20079361 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 939829444100000/89975616641 (/.f64 1 (pow.f64 x 4))) (.f64 100000/4481 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 9922900000/20079361 (/.f64 1 (pow.f64 x 3))) (.f64 88811884418598900000/403180738168321 (/.f64 1 (pow.f64 x 5)))))
(/.f64 100000/4481 (pow.f64 x 2))
(-.f64 (.f64 100000/4481 (/.f64 1 (pow.f64 x 2))) (.f64 9922900000/20079361 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 939829444100000/89975616641 (/.f64 1 (pow.f64 x 4))) (.f64 100000/4481 (/.f64 1 (pow.f64 x 2)))) (*.f64 9922900000/20079361 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 939829444100000/89975616641 (/.f64 1 (pow.f64 x 4))) (.f64 100000/4481 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 9922900000/20079361 (/.f64 1 (pow.f64 x 3))) (.f64 88811884418598900000/403180738168321 (/.f64 1 (pow.f64 x 5)))))
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))
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))

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 -179503363065659419717/100000000000000000000 (pow.f64 x 3) (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))
(fma.f64 x (*.f64 x (fma.f64 x -179503363065659419717/100000000000000000000 1900161040244073/1000000000000000)) (fma.f64 -20191289437/10000000000 x 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 (/.f64 1651231776/20079361 x) x))
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 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 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 (/.f64 1651231776/20079361 x) x)))
(+.f64 (-.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 1651231776/20079361 x) x)) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))
(+.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 (.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 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 27061/4481 x) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))) (/.f64 (/.f64 1651231776/20079361 x) x)))
(+.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 (+.f64 (/.f64 27061/4481 x) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4))) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 (/.f64 -1651231776/20079361 x) x)))
(/.f64 27061/4481 x)
(-.f64 (.f64 27061/4481 (/.f64 1 x)) (.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(-.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 1651231776/20079361 x) x))
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 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 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 (/.f64 1651231776/20079361 x) x)))
(+.f64 (-.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 1651231776/20079361 x) x)) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))
(+.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 (.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 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 27061/4481 x) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))) (/.f64 (/.f64 1651231776/20079361 x) x)))
(+.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 (+.f64 (/.f64 27061/4481 x) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4))) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 (/.f64 -1651231776/20079361 x) x)))
1
(+.f64 1 (*.f64 -99229/100000 x))
(+.f64 1 (*.f64 x -99229/100000))
(fma.f64 x -99229/100000 1)
(+.f64 1 (+.f64 (.f64 9398294441/10000000000 (pow.f64 x 2)) (.f64 -99229/100000 x)))
(+.f64 1 (fma.f64 9398294441/10000000000 (.f64 x x) (.f64 x -99229/100000)))
(+.f64 (fma.f64 x -99229/100000 1) (.f64 x (.f64 x 9398294441/10000000000)))
(fma.f64 x -99229/100000 (fma.f64 (*.f64 x x) 9398294441/10000000000 1))
(fma.f64 x (fma.f64 x 9398294441/10000000000 -99229/100000) 1)
(+.f64 1 (+.f64 (.f64 9398294441/10000000000 (pow.f64 x 2)) (+.f64 (.f64 -99229/100000 x) (*.f64 -888118844185989/1000000000000000 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 9398294441/10000000000 (.f64 x x) (fma.f64 -99229/100000 x (.f64 (pow.f64 x 3) -888118844185989/1000000000000000))))
(+.f64 1 (fma.f64 (.f64 x x) 9398294441/10000000000 (fma.f64 (pow.f64 x 3) -888118844185989/1000000000000000 (.f64 x -99229/100000))))
(+.f64 1 (fma.f64 x -99229/100000 (.f64 (.f64 x x) (+.f64 (*.f64 x -888118844185989/1000000000000000) 9398294441/10000000000))))
(fma.f64 x (fma.f64 x 9398294441/10000000000 -99229/100000) (fma.f64 (pow.f64 x 3) -888118844185989/1000000000000000 1))
(fma.f64 (*.f64 x x) (fma.f64 x -888118844185989/1000000000000000 9398294441/10000000000) (fma.f64 x -99229/100000 1))
(/.f64 100000/4481 (pow.f64 x 2))
(/.f64 100000/4481 (*.f64 x x))
(/.f64 (/.f64 100000/4481 x) x)
(-.f64 (.f64 100000/4481 (/.f64 1 (pow.f64 x 2))) (.f64 9922900000/20079361 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 100000/4481 (*.f64 x x)) (/.f64 9922900000/20079361 (pow.f64 x 3)))
(+.f64 (/.f64 100000/4481 (*.f64 x x)) (/.f64 -9922900000/20079361 (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 100000/4481 x) x) (/.f64 -9922900000/20079361 (pow.f64 x 3)))
(.f64 (/.f64 1 (.f64 x x)) (-.f64 100000/4481 (/.f64 9922900000/20079361 x)))
(-.f64 (+.f64 (.f64 939829444100000/89975616641 (/.f64 1 (pow.f64 x 4))) (.f64 100000/4481 (/.f64 1 (pow.f64 x 2)))) (*.f64 9922900000/20079361 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (-.f64 (/.f64 100000/4481 (*.f64 x x)) (/.f64 9922900000/20079361 (pow.f64 x 3))))
(+.f64 (/.f64 100000/4481 (*.f64 x x)) (-.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (/.f64 9922900000/20079361 (pow.f64 x 3))))
(+.f64 (/.f64 100000/4481 (*.f64 x x)) (+.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (/.f64 -9922900000/20079361 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 100000/4481 x) x) (+.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (/.f64 -9922900000/20079361 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 939829444100000/89975616641 (/.f64 1 (pow.f64 x 4))) (.f64 100000/4481 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 9922900000/20079361 (/.f64 1 (pow.f64 x 3))) (.f64 88811884418598900000/403180738168321 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 100000/4481 (*.f64 x x)) (/.f64 939829444100000/89975616641 (pow.f64 x 4))) (+.f64 (/.f64 9922900000/20079361 (pow.f64 x 3)) (/.f64 88811884418598900000/403180738168321 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 100000/4481 (*.f64 x x)) (/.f64 939829444100000/89975616641 (pow.f64 x 4))) (-.f64 (/.f64 -9922900000/20079361 (pow.f64 x 3)) (/.f64 88811884418598900000/403180738168321 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 100000/4481 (*.f64 x x)) (/.f64 -9922900000/20079361 (pow.f64 x 3))) (+.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (/.f64 -88811884418598900000/403180738168321 (pow.f64 x 5))))
(+.f64 (/.f64 (/.f64 100000/4481 x) x) (+.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (+.f64 (/.f64 -9922900000/20079361 (pow.f64 x 3)) (/.f64 -88811884418598900000/403180738168321 (pow.f64 x 5)))))
(+.f64 (.f64 (/.f64 1 (.f64 x x)) (-.f64 100000/4481 (/.f64 9922900000/20079361 x))) (+.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (/.f64 -88811884418598900000/403180738168321 (pow.f64 x 5))))
(/.f64 100000/4481 (pow.f64 x 2))
(/.f64 100000/4481 (*.f64 x x))
(/.f64 (/.f64 100000/4481 x) x)
(-.f64 (.f64 100000/4481 (/.f64 1 (pow.f64 x 2))) (.f64 9922900000/20079361 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 100000/4481 (*.f64 x x)) (/.f64 9922900000/20079361 (pow.f64 x 3)))
(+.f64 (/.f64 100000/4481 (*.f64 x x)) (/.f64 -9922900000/20079361 (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 100000/4481 x) x) (/.f64 -9922900000/20079361 (pow.f64 x 3)))
(.f64 (/.f64 1 (.f64 x x)) (-.f64 100000/4481 (/.f64 9922900000/20079361 x)))
(-.f64 (+.f64 (.f64 939829444100000/89975616641 (/.f64 1 (pow.f64 x 4))) (.f64 100000/4481 (/.f64 1 (pow.f64 x 2)))) (*.f64 9922900000/20079361 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (-.f64 (/.f64 100000/4481 (*.f64 x x)) (/.f64 9922900000/20079361 (pow.f64 x 3))))
(+.f64 (/.f64 100000/4481 (*.f64 x x)) (-.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (/.f64 9922900000/20079361 (pow.f64 x 3))))
(+.f64 (/.f64 100000/4481 (*.f64 x x)) (+.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (/.f64 -9922900000/20079361 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 100000/4481 x) x) (+.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (/.f64 -9922900000/20079361 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 939829444100000/89975616641 (/.f64 1 (pow.f64 x 4))) (.f64 100000/4481 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 9922900000/20079361 (/.f64 1 (pow.f64 x 3))) (.f64 88811884418598900000/403180738168321 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 100000/4481 (*.f64 x x)) (/.f64 939829444100000/89975616641 (pow.f64 x 4))) (+.f64 (/.f64 9922900000/20079361 (pow.f64 x 3)) (/.f64 88811884418598900000/403180738168321 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 100000/4481 (*.f64 x x)) (/.f64 939829444100000/89975616641 (pow.f64 x 4))) (-.f64 (/.f64 -9922900000/20079361 (pow.f64 x 3)) (/.f64 88811884418598900000/403180738168321 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 100000/4481 (*.f64 x x)) (/.f64 -9922900000/20079361 (pow.f64 x 3))) (+.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (/.f64 -88811884418598900000/403180738168321 (pow.f64 x 5))))
(+.f64 (/.f64 (/.f64 100000/4481 x) x) (+.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (+.f64 (/.f64 -9922900000/20079361 (pow.f64 x 3)) (/.f64 -88811884418598900000/403180738168321 (pow.f64 x 5)))))
(+.f64 (.f64 (/.f64 1 (.f64 x x)) (-.f64 100000/4481 (/.f64 9922900000/20079361 x))) (+.f64 (/.f64 939829444100000/89975616641 (pow.f64 x 4)) (/.f64 -88811884418598900000/403180738168321 (pow.f64 x 5))))
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)
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)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 230753/100000 x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

493×	`pow1_binary64`
487×	`add-sqr-sqrt_binary64`
465×	`add-log-exp_binary64`
465×	`log1p-expm1-u_binary64`
465×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	92	4
2	1177	4

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(-.f64 230753/100000 x)

Outputs

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

7×	`sub-neg_binary64`
6×	`fma-def_binary64`
4×	`+-commutative_binary64`
3×	`associate-+l-_binary64`
3×	`associate--r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	61
1	9	43
2	14	43
3	18	43
4	25	43
5	35	43
6	47	43
7	59	43
8	62	43

Stop Event

1×

saturated

Counts

40 → 33

Calls

Call 1

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

Outputs
230753/100000
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)
(+.f64 230753/100000 (*.f64 -1 x))
(+.f64 230753/100000 (neg.f64 x))
(-.f64 230753/100000 x)

localize8.0ms (0.1%)

Local error

Found 3 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)
✓	0.6b	(*.f64 -20191289437/10000000000 x)

Compiler

Compiled 19 to 14 computations (26.3% saved)

series4.0ms (0.1%)

Counts

3 → 15

Calls

9 calls:

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

rewrite74.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

951×	`pow1_binary64`
900×	`add-log-exp_binary64`
900×	`log1p-expm1-u_binary64`
900×	`expm1-log1p-u_binary64`
86×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	165	16
2	2328	16

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -20191289437/10000000000 x 230753/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 53246947009/10000000000 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))) (/.f64 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000) (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -20191289437/10000000000 x 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2) (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3))) (/.f64 1 (+.f64 53246947009/10000000000 (-.f64 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000) (*.f64 -4659200611456061/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000)) (/.f64 1 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 53246947009/10000000000 (-.f64 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000) (*.f64 -4659200611456061/1000000000000000 x))) (+.f64 12286892763167777/1000000000000000 (*.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x)) (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3))) (+.f64 53246947009/10000000000 (-.f64 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000) (*.f64 -4659200611456061/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3))) (+.f64 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000) (-.f64 53246947009/10000000000 (*.f64 -4659200611456061/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000)) (+.f64 230753/100000 (*.f64 20191289437/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 12286892763167777/1000000000000000 (*.f64 -8231749822918346830573921576453/1000000000000000000000000000000 (pow.f64 x 3)))) (neg.f64 (+.f64 53246947009/10000000000 (-.f64 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000) (*.f64 -4659200611456061/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000))) (neg.f64 (+.f64 230753/100000 (*.f64 20191289437/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 407688169128707776969/100000000000000000000) 53246947009/10000000000) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -20191289437/10000000000 x 230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -20191289437/10000000000 x 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 fma.f64 -20191289437/10000000000 x 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -20191289437/10000000000 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -20191289437/10000000000 x) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -20191289437/10000000000 x)) 2) (cbrt.f64 (*.f64 -20191289437/10000000000 x)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -20191289437/10000000000 x)) (sqrt.f64 (*.f64 -20191289437/10000000000 x)) 230753/100000)))))

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	81
1	11	63
2	13	63

Stop Event

1×

saturated

Counts

103 → 94

Calls

Call 1

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

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 46 to 36 computations (21.7% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite104.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 27061/100000 230753/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 53246947009/10000000000 (+.f64 230753/100000 (*.f64 -27061/100000 x))) (/.f64 (*.f64 (*.f64 x x) 732297721/10000000000) (+.f64 230753/100000 (*.f64 -27061/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 27061/100000 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 27061/100000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000) (/.f64 1 (fma.f64 (*.f64 x 27061/100000) (fma.f64 x 27061/100000 -230753/100000) 53246947009/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 732297721/10000000000)) (/.f64 1 (+.f64 230753/100000 (*.f64 -27061/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x 27061/100000) (fma.f64 x 27061/100000 -230753/100000) 53246947009/10000000000) (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 230753/100000 (*.f64 -27061/100000 x)) (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 732297721/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000) (fma.f64 (*.f64 x 27061/100000) (fma.f64 x 27061/100000 -230753/100000) 53246947009/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000) (fma.f64 (*.f64 x x) 732297721/10000000000 (-.f64 53246947009/10000000000 (*.f64 6244406933/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 732297721/10000000000)) (+.f64 230753/100000 (*.f64 -27061/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000)) (neg.f64 (fma.f64 (*.f64 x 27061/100000) (fma.f64 x 27061/100000 -230753/100000) 53246947009/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 732297721/10000000000))) (neg.f64 (+.f64 230753/100000 (*.f64 -27061/100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 x x) 732297721/10000000000 -53246947009/10000000000) (fma.f64 x 27061/100000 -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 27061/100000 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x 27061/100000) (fma.f64 x 27061/100000 -230753/100000) 53246947009/10000000000) (fma.f64 (pow.f64 x 3) 19816708627981/1000000000000000 12286892763167777/1000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 230753/100000 (*.f64 -27061/100000 x)) (-.f64 53246947009/10000000000 (*.f64 (*.f64 x x) 732297721/10000000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 27061/100000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 27061/100000 230753/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 27061/100000 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 27061/100000 x 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 27061/100000) 1 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 27061/100000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 27061/100000)) (cbrt.f64 (*.f64 (*.f64 x x) 732297721/10000000000)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 732297721/10000000000)) (cbrt.f64 (*.f64 x 27061/100000)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 27061/100000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 27061/100000)) (sqrt.f64 (*.f64 x 27061/100000)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 27061/100000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 27061/100000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 27061/100000 (sqrt.f64 x)) (sqrt.f64 x) 230753/100000)))))

simplify73.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

626×	`fma-def_binary64`
541×	`associate-l_binary64`
536×	`unswap-sqr_binary64`
451×	`associate-/r/_binary64`
340×	`associate-r_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	40	261
1	100	241
2	221	238
3	542	231
4	1457	228
5	4832	224

Stop Event

1×	node limit

Counts

145 → 128

Calls

Call 1

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

localize28.0ms (0.4%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) x)

✓

0.1b

(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)

✓

0.1b

(fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)

Compiler

Compiled 25 to 18 computations (28% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)
1.0ms	x	@	-inf	(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)
1.0ms	x	@	0	(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)
1.0ms	x	@	-inf	(fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)
1.0ms	x	@	inf	(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)

rewrite111.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

895×	`pow1_binary64`
844×	`add-log-exp_binary64`
844×	`log1p-expm1-u_binary64`
844×	`expm1-log1p-u_binary64`
830×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	176	26
2	2175	26

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

Inputs

(fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)

(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)

(-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -20191289437/10000000000 (*.f64 x 1900161040244073/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1900161040244073/1000000000000000) -20191289437/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1900161040244073/1000000000000000) 1) -20191289437/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) (pow.f64 (cbrt.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) 2) (cbrt.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) (sqrt.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 1900161040244073/1000000000000000) 3) -8231749822918346830573921576453/1000000000000000000000000000000) (+.f64 (*.f64 (*.f64 x 1900161040244073/1000000000000000) (*.f64 x 1900161040244073/1000000000000000)) (-.f64 407688169128707776969/100000000000000000000 (*.f64 (*.f64 x 1900161040244073/1000000000000000) -20191289437/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 1900161040244073/1000000000000000) (*.f64 x 1900161040244073/1000000000000000)) 407688169128707776969/100000000000000000000) (-.f64 (*.f64 x 1900161040244073/1000000000000000) -20191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 230753/100000 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) 1) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) (sqrt.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) 3) 12286892763167777/1000000000000000) (+.f64 (*.f64 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000))) (-.f64 53246947009/10000000000 (*.f64 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000))) 53246947009/10000000000) (-.f64 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) (-.f64 230753/100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000)) (+.f64 230753/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) x)) (sqrt.f64 (-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 2) (*.f64 x (+.f64 x (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 2) (*.f64 x (+.f64 x (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)))) (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 2) (*.f64 x (+.f64 x (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 2) (*.f64 x x)) (+.f64 x (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 2) (*.f64 x (+.f64 x (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 2) (*.f64 x x))) (neg.f64 (+.f64 x (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) (sqrt.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)) (neg.f64 x))))))

simplify154.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

969×	`fma-def_binary64`
778×	`sqr-pow_binary64`
628×	`associate-l_binary64`
434×	`unswap-sqr_binary64`
417×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	310
1	45	282
2	79	268
3	125	234
4	278	234
5	729	234
6	2346	234
7	4144	234
8	4392	234
9	4606	234
10	4826	234
11	5149	234
12	5551	234
13	6084	234
14	6652	234
15	7340	234

Stop Event

1×	node limit

Counts

115 → 98

Calls

Call 1

Inputs
-20191289437/10000000000
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(*.f64 1900161040244073/1000000000000000 x)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(*.f64 1900161040244073/1000000000000000 x)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
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 -20191289437/10000000000 x)))
(*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))
(+.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (.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 -20191289437/10000000000 x)))
(*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))
(+.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (.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 -20191289437/10000000000 x)))
230753/100000
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (.f64 -30191289437/10000000000 x)))
(+.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (.f64 -30191289437/10000000000 x)))
(*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))
(+.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (.f64 -30191289437/10000000000 x))
(+.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (.f64 -30191289437/10000000000 x)))
(+.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (.f64 -30191289437/10000000000 x)))
(*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))
(+.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (.f64 -30191289437/10000000000 x))
(+.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (.f64 -30191289437/10000000000 x)))
(+.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (.f64 -30191289437/10000000000 x)))

Outputs
-20191289437/10000000000
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)
(*.f64 1900161040244073/1000000000000000 x)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)
(*.f64 1900161040244073/1000000000000000 x)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)
(-.f64 (*.f64 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)
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))
(+.f64 230753/100000 (*.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)))
(fma.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000) 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))
(+.f64 230753/100000 (*.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)))
(fma.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000) 230753/100000)
(*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))
(.f64 1900161040244073/1000000000000000 (.f64 x x))
(+.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (.f64 -20191289437/10000000000 x))
(fma.f64 1900161040244073/1000000000000000 (.f64 x x) (.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x (.f64 1900161040244073/1000000000000000 (.f64 x x)))
(*.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000))
(+.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))
(+.f64 230753/100000 (*.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)))
(fma.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000) 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))
(+.f64 230753/100000 (*.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)))
(fma.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000) 230753/100000)
(*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))
(.f64 1900161040244073/1000000000000000 (.f64 x x))
(+.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (.f64 -20191289437/10000000000 x))
(fma.f64 1900161040244073/1000000000000000 (.f64 x x) (.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x (.f64 1900161040244073/1000000000000000 (.f64 x x)))
(*.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000))
(+.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))
(+.f64 230753/100000 (*.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)))
(fma.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000) 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))
(+.f64 230753/100000 (*.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000)))
(fma.f64 x (fma.f64 1900161040244073/1000000000000000 x -20191289437/10000000000) 230753/100000)
230753/100000
(+.f64 230753/100000 (*.f64 -30191289437/10000000000 x))
(+.f64 230753/100000 (*.f64 x -30191289437/10000000000))
(fma.f64 x -30191289437/10000000000 230753/100000)
(+.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (.f64 -30191289437/10000000000 x)))
(fma.f64 1900161040244073/1000000000000000 (.f64 x x) (+.f64 230753/100000 (.f64 x -30191289437/10000000000)))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 x -30191289437/10000000000 230753/100000))
(fma.f64 x (fma.f64 1900161040244073/1000000000000000 x -30191289437/10000000000) 230753/100000)
(+.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (.f64 -30191289437/10000000000 x)))
(fma.f64 1900161040244073/1000000000000000 (.f64 x x) (+.f64 230753/100000 (.f64 x -30191289437/10000000000)))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 x -30191289437/10000000000 230753/100000))
(fma.f64 x (fma.f64 1900161040244073/1000000000000000 x -30191289437/10000000000) 230753/100000)
(*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))
(.f64 1900161040244073/1000000000000000 (.f64 x x))
(+.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (.f64 -30191289437/10000000000 x))
(fma.f64 1900161040244073/1000000000000000 (.f64 x x) (.f64 x -30191289437/10000000000))
(.f64 x (+.f64 (.f64 1900161040244073/1000000000000000 x) -30191289437/10000000000))
(*.f64 x (fma.f64 1900161040244073/1000000000000000 x -30191289437/10000000000))
(+.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (.f64 -30191289437/10000000000 x)))
(fma.f64 1900161040244073/1000000000000000 (.f64 x x) (+.f64 230753/100000 (.f64 x -30191289437/10000000000)))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 x -30191289437/10000000000 230753/100000))
(fma.f64 x (fma.f64 1900161040244073/1000000000000000 x -30191289437/10000000000) 230753/100000)
(+.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (.f64 -30191289437/10000000000 x)))
(fma.f64 1900161040244073/1000000000000000 (.f64 x x) (+.f64 230753/100000 (.f64 x -30191289437/10000000000)))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 x -30191289437/10000000000 230753/100000))
(fma.f64 x (fma.f64 1900161040244073/1000000000000000 x -30191289437/10000000000) 230753/100000)
(*.f64 1900161040244073/1000000000000000 (pow.f64 x 2))
(.f64 1900161040244073/1000000000000000 (.f64 x x))
(+.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (.f64 -30191289437/10000000000 x))
(fma.f64 1900161040244073/1000000000000000 (.f64 x x) (.f64 x -30191289437/10000000000))
(.f64 x (+.f64 (.f64 1900161040244073/1000000000000000 x) -30191289437/10000000000))
(*.f64 x (fma.f64 1900161040244073/1000000000000000 x -30191289437/10000000000))
(+.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (.f64 -30191289437/10000000000 x)))
(fma.f64 1900161040244073/1000000000000000 (.f64 x x) (+.f64 230753/100000 (.f64 x -30191289437/10000000000)))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 x -30191289437/10000000000 230753/100000))
(fma.f64 x (fma.f64 1900161040244073/1000000000000000 x -30191289437/10000000000) 230753/100000)
(+.f64 (.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (.f64 -30191289437/10000000000 x)))
(fma.f64 1900161040244073/1000000000000000 (.f64 x x) (+.f64 230753/100000 (.f64 x -30191289437/10000000000)))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 x -30191289437/10000000000 230753/100000))
(fma.f64 x (fma.f64 1900161040244073/1000000000000000 x -30191289437/10000000000) 230753/100000)

eval444.0ms (6.6%)

Compiler: Compiled 9618 to 7377 computations (23.3% saved)

prune88.0ms (1.3%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	570	9	579
Fresh	4	2	6
Picked	1	0	1
Done	1	4	5
Total	576	15	591

Error

Counts

591 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.2b	(neg.f64 x)
✓	0.0b	(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
	15.0b	(-.f64 (.f64 (/.f64 (-.f64 (pow.f64 (.f64 x 27061/100000) 2) 53246947009/10000000000) (fma.f64 x 27061/100000 -230753/100000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) x)
	30.2b	(-.f64 (/.f64 27061/4481 x) x)
▶	0.0b	(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (/.f64 (.f64 (-.f64 9846394441/10000000000 (pow.f64 (.f64 x 4481/100000) 2)) x) (+.f64 99229/100000 (.f64 -4481/100000 x))))) x)
▶	27.9b	(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)
▶	31.2b	(-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x)
	30.9b	(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)
	27.2b	(-.f64 27061/99229 x)
✓	1.9b	(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x 99229/100000))) x)
	33.0b	230753/100000
✓	27.9b	(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)
✓	2.6b	(-.f64 230753/100000 x)
	30.9b	(-.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 407688169128707776969/100000000000000000000) 53246947009/10000000000) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000)) x)
▶	32.0b	(-.f64 (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))) x)

Compiler

Compiled 286 to 218 computations (23.8% saved)

localize55.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 x 4481/100000)
	0.4b	(*.f64 x 27061/100000)
✓	4.2b	(/.f64 (.f64 (-.f64 9846394441/10000000000 (pow.f64 (.f64 x 4481/100000) 2)) x) (+.f64 99229/100000 (*.f64 -4481/100000 x)))
✓	13.6b	(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (/.f64 (.f64 (-.f64 9846394441/10000000000 (pow.f64 (.f64 x 4481/100000) 2)) x) (+.f64 99229/100000 (.f64 -4481/100000 x)))))

Compiler

Compiled 130 to 105 computations (19.2% saved)

series7.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 9846394441/10000000000 (pow.f64 (.f64 x 4481/100000) 2)) x) (+.f64 99229/100000 (*.f64 -4481/100000 x)))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 9846394441/10000000000 (pow.f64 (.f64 x 4481/100000) 2)) x) (+.f64 99229/100000 (*.f64 -4481/100000 x)))
1.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 9846394441/10000000000 (pow.f64 (.f64 x 4481/100000) 2)) x) (+.f64 99229/100000 (*.f64 -4481/100000 x)))
1.0ms	x	@	-inf	(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (/.f64 (.f64 (-.f64 9846394441/10000000000 (pow.f64 (.f64 x 4481/100000) 2)) x) (+.f64 99229/100000 (.f64 -4481/100000 x)))))
1.0ms	x	@	0	(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (/.f64 (.f64 (-.f64 9846394441/10000000000 (pow.f64 (.f64 x 4481/100000) 2)) x) (+.f64 99229/100000 (.f64 -4481/100000 x)))))

rewrite623.0ms (9.3%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`prod-diff_binary64`
232×	`add-sqr-sqrt_binary64`
220×	`add-log-exp_binary64`
220×	`log1p-expm1-u_binary64`
220×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	56
1	477	26
2	6342	26

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs

(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (/.f64 (*.f64 (-.f64 9846394441/10000000000 (pow.f64 (*.f64 x 4481/100000) 2)) x) (+.f64 99229/100000 (*.f64 -4481/100000 x)))))

(/.f64 (*.f64 (-.f64 9846394441/10000000000 (pow.f64 (*.f64 x 4481/100000) 2)) x) (+.f64 99229/100000 (*.f64 -4481/100000 x)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x -4481/100000 99229/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 9846394441/10000000000 (/.f64 (fma.f64 x -4481/100000 99229/100000) x)) (/.f64 (*.f64 20079361/10000000000 (*.f64 x x)) (/.f64 (fma.f64 x -4481/100000 99229/100000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 x -4481/100000 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (fma.f64 x -4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 9846394441/10000000000 (*.f64 (*.f64 x x) -20079361/10000000000)) (/.f64 1 (/.f64 (fma.f64 x -4481/100000 99229/100000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 9846394441/10000000000 (*.f64 (*.f64 x x) -20079361/10000000000)) (*.f64 x (/.f64 1 (fma.f64 x -4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 9846394441/10000000000 (*.f64 (*.f64 x x) 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(cbrt.f64 (fma.f64 x -4481/100000 99229/100000)) 2)) (/.f64 (*.f64 x (+.f64 9846394441/10000000000 (*.f64 (*.f64 x x) -20079361/10000000000))) (cbrt.f64 (fma.f64 x -4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 9846394441/10000000000 (*.f64 (*.f64 x x) -20079361/10000000000)) (pow.f64 (cbrt.f64 (fma.f64 x -4481/100000 99229/100000)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x -4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 9846394441/10000000000 (*.f64 (*.f64 x x) -20079361/10000000000))) 2)) (pow.f64 (cbrt.f64 (fma.f64 x -4481/100000 99229/100000)) 2)) (cbrt.f64 (*.f64 x (fma.f64 x -4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 9846394441/10000000000 (*.f64 (*.f64 x x) -20079361/10000000000)))) (pow.f64 (cbrt.f64 (fma.f64 x -4481/100000 99229/100000)) 2)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 9846394441/10000000000 (*.f64 (*.f64 x x) -20079361/10000000000)))) (cbrt.f64 (fma.f64 x -4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 x -4481/100000 99229/100000))) (/.f64 (+.f64 9846394441/10000000000 (*.f64 (*.f64 x x) -20079361/10000000000)) (sqrt.f64 (fma.f64 x -4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 9846394441/10000000000 (*.f64 (*.f64 x x) -20079361/10000000000)) (sqrt.f64 (fma.f64 x -4481/100000 99229/100000))) (/.f64 x (sqrt.f64 (fma.f64 x -4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -4481/100000 99229/100000))) (/.f64 (*.f64 x (+.f64 9846394441/10000000000 (*.f64 (*.f64 x x) -20079361/10000000000))) (sqrt.f64 (fma.f64 x -4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 9846394441/10000000000 (*.f64 (*.f64 x x) -20079361/10000000000))) 2)) (sqrt.f64 (fma.f64 x -4481/100000 99229/100000))) (/.f64 (cbrt.f64 (*.f64 x (+.f64 9846394441/10000000000 (*.f64 (*.f64 x x) -20079361/10000000000)))) (sqrt.f64 (fma.f64 x -4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 9846394441/10000000000 (*.f64 (*.f64 x x) -20079361/10000000000))) (+.f64 977047873985989/1000000000000000 (*.f64 (pow.f64 x 3) -89975616641/1000000000000000))) (+.f64 9846394441/10000000000 (-.f64 (*.f64 20079361/10000000000 (*.f64 x x)) (*.f64 -444645149/10000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 9846394441/10000000000 (*.f64 (*.f64 x x) -20079361/10000000000))) (+.f64 9846394441/10000000000 (*.f64 (*.f64 x x) -20079361/10000000000))) (fma.f64 x -4481/100000 99229/100000))))) (#(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 pow.f64 (/.f64 1 (*.f64 x (fma.f64 x -4481/100000 99229/100000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (+.f64 9846394441/10000000000 (*.f64 (*.f64 x x) -20079361/10000000000))) (neg.f64 (fma.f64 x -4481/100000 99229/100000))))))) (#(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 (exp.f64 (*.f64 x (fma.f64 x -4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -4481/100000 99229/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -4481/100000 99229/100000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Rules

778×	`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	44	300
1	108	296
2	259	285
3	682	261
4	2055	258
5	5983	258

Stop Event

1×	node limit

Counts

104 → 100

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

localize4.0ms (0.1%)

Compiler: Compiled 4 to 2 computations (50% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite85.0ms (1.3%)

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

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	120
1	8	102
2	10	102

Stop Event

1×

saturated

Counts

67 → 46

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)
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)
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)

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x)
✓	0.0b	(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
✓	0.1b	(/.f64 20191289437/9846394441 x)

Compiler

Compiled 19 to 14 computations (26.3% saved)

series6.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

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

rewrite135.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

745×	`prod-diff_binary64`
503×	`unpow-prod-down_binary64`
352×	`log-prod_binary64`
312×	`fma-def_binary64`
224×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	171	21
2	2441	21

Stop Event

1×	node limit

Counts

3 → 227

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 20191289437/9846394441 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 20191289437/9846394441 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 20191289437/9846394441 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 20191289437/9846394441 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 20191289437/9846394441 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 20191289437/9846394441 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 20191289437/9846394441 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) (pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 2) (cbrt.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x)) (sqrt.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -20191289437/9846394441 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -20191289437/9846394441 (pow.f64 (/.f64 1 (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 20191289437/9846394441)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 20191289437/9846394441 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 20191289437/9846394441) 3) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))) 2) 3) (cbrt.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 20191289437/9846394441) 2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 8231749822918346830573921576453/954622548060541040474968308121 1/3) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)) 20191289437/9846394441) 1/3) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 20191289437/9846394441 x) (cbrt.f64 (/.f64 20191289437/9846394441 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 20191289437/9846394441 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 9846394441/20191289437)) 2) -1) (cbrt.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 20191289437/9846394441 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9846394441/20191289437) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 9846394441/20191289437) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8231749822918346830573921576453/954622548060541040474968308121 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 20191289437/9846394441 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 20191289437/9846394441 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 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20191289437/9846394441 x) 27061/99229))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229))) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 732297721/9846394441 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x))) (/.f64 1 (-.f64 27061/99229 (/.f64 20191289437/9846394441 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 732297721/9846394441 (/.f64 407688169128707776969/96951483487755702481 (*.f64 x x))) (/.f64 1 (-.f64 27061/99229 (/.f64 20191289437/9846394441 x))) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 20191289437/9846394441 x) x)) 2) (cbrt.f64 (-.f64 (/.f64 20191289437/9846394441 x) x)) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 20191289437/9846394441 x) x)) (sqrt.f64 (-.f64 (/.f64 20191289437/9846394441 x) x)) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x)) (sqrt.f64 x)) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 (/.f64 20191289437/9846394441 x) 27061/99229))))))

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Rules

179×	`fma-def_binary64`
155×	`fma-neg_binary64`
52×	`cancel-sign-sub-inv_binary64`
36×	`associate-/l*_binary64`
34×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	164
1	26	154
2	40	154
3	59	154
4	95	154
5	156	154
6	290	154
7	420	154
8	556	154
9	687	154
10	801	154
11	851	154
12	921	154
13	941	154
14	959	154

Stop Event

1×

saturated

Counts

251 → 236

Calls

Call 1

Inputs
(/.f64 20191289437/9846394441 x)
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(/.f64 20191289437/9846394441 x)
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 27061/99229 (+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x))))
(*.f64 -1 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 27061/99229 (+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x))))
(*.f64 -1 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 27061/99229 (+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x))))

Outputs
(/.f64 20191289437/9846394441 x)
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
27061/99229
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(/.f64 20191289437/9846394441 x)
(+.f64 27061/99229 (*.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 27061/99229 (/.f64 20191289437/9846394441 x))
(+.f64 27061/99229 (+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x)))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 x))
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x))
(+.f64 27061/99229 (+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x)))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 x))
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (neg.f64 x))
(-.f64 27061/99229 x)
(+.f64 27061/99229 (+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x)))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 x))
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x))
(+.f64 27061/99229 (+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x)))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 x))
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (neg.f64 x))
(-.f64 27061/99229 x)
(+.f64 27061/99229 (+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x)))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 x))
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x))
(+.f64 27061/99229 (+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x))))
(+.f64 27061/99229 (fma.f64 -1 x (/.f64 20191289437/9846394441 x)))
(+.f64 (/.f64 20191289437/9846394441 x) (-.f64 27061/99229 x))
(+.f64 27061/99229 (-.f64 (/.f64 20191289437/9846394441 x) x))

localize34.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))
✓	0.0b	(-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x)))
	0.1b	(/.f64 20191289437/9846394441 x)
✓	0.5b	(/.f64 -2019128943700000/977047873985989 (*.f64 x x))

Compiler

Compiled 45 to 28 computations (37.8% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite177.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

687×	`prod-diff_binary64`
499×	`log-prod_binary64`
306×	`fma-def_binary64`
219×	`log-div_binary64`
214×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	243	28
2	3431	28

Stop Event

1×	node limit

Counts

3 → 248

Calls

Call 1

Inputs

(/.f64 -2019128943700000/977047873985989 (*.f64 x x))

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

(-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))

Outputs

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(expm1.f64 (+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 -27061/99229 (/.f64 -20191289437/9846394441 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 20191289437/9846394441 (neg.f64 (/.f64 1 x)) -27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -20191289437/9846394441 x) -27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 2) (neg.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x))) -27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x)) (neg.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x))) -27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -20191289437/9846394441 (/.f64 1 x) -27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 -20191289437/9846394441 x)) (cbrt.f64 (/.f64 -20191289437/9846394441 x))) (cbrt.f64 (/.f64 -20191289437/9846394441 x)) -27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -20191289437/9846394441 x)) (sqrt.f64 (/.f64 -20191289437/9846394441 x)) -27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 20191289437/9846394441 x) -27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 20191289437/9846394441 x)) 2)) (cbrt.f64 (/.f64 20191289437/9846394441 x)) -27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 20191289437/9846394441 x))) (sqrt.f64 (/.f64 20191289437/9846394441 x)) -27061/99229)))))

simplify81.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

749×	`distribute-neg-frac_binary64`
598×	`associate-/l/_binary64`
548×	`fma-neg_binary64`
434×	`unswap-sqr_binary64`
423×	`associate-*l/_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	21	303
1	49	285
2	101	285
3	200	285
4	432	285
5	1296	285
6	4795	273

Stop Event

1×	node limit

Counts

284 → 260

Calls

Call 1

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

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

eval426.0ms (6.3%)

Compiler: Compiled 14875 to 11493 computations (22.7% saved)

prune109.0ms (1.6%)

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	709	5	714
Fresh	3	3	6
Picked	0	1	1
Done	1	7	8
Total	713	16	729

Error

Counts

729 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.2b	(neg.f64 x)
✓	0.0b	(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
▶	15.0b	(-.f64 (.f64 (/.f64 (-.f64 (pow.f64 (.f64 x 27061/100000) 2) 53246947009/10000000000) (fma.f64 x 27061/100000 -230753/100000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) x)
▶	30.4b	(-.f64 (/.f64 20191289437/9846394441 x) x)
▶	30.2b	(-.f64 (/.f64 27061/4481 x) x)
✓	0.0b	(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (/.f64 (.f64 (-.f64 9846394441/10000000000 (pow.f64 (.f64 x 4481/100000) 2)) x) (+.f64 99229/100000 (.f64 -4481/100000 x))))) x)
✓	27.9b	(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)
	30.9b	(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)
▶	27.2b	(-.f64 27061/99229 x)
	33.0b	230753/100000
✓	1.9b	(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x 99229/100000))) x)
✓	27.9b	(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)
✓	2.6b	(-.f64 230753/100000 x)
	30.9b	(-.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 407688169128707776969/100000000000000000000) 53246947009/10000000000) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000)) x)
✓	32.0b	(-.f64 (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))) x)
▶	27.9b	(+.f64 (-.f64 (+.f64 1 (*.f64 x -30191289437/10000000000)) 1) 230753/100000)

Compiler

Compiled 253 to 194 computations (23.3% saved)

localize51.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
	0.4b	(*.f64 x 27061/100000)
✓	13.3b	(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x 27061/100000) 2) 53246947009/10000000000) (fma.f64 x 27061/100000 -230753/100000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
✓	14.1b	(/.f64 (-.f64 (pow.f64 (*.f64 x 27061/100000) 2) 53246947009/10000000000) (fma.f64 x 27061/100000 -230753/100000))

Compiler

Compiled 106 to 85 computations (19.8% saved)

series10.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/.f64 (-.f64 (pow.f64 (*.f64 x 27061/100000) 2) 53246947009/10000000000) (fma.f64 x 27061/100000 -230753/100000))
3.0ms	x	@	-inf	(/.f64 (-.f64 (pow.f64 (*.f64 x 27061/100000) 2) 53246947009/10000000000) (fma.f64 x 27061/100000 -230753/100000))
1.0ms	x	@	0	(/.f64 (-.f64 (pow.f64 (*.f64 x 27061/100000) 2) 53246947009/10000000000) (fma.f64 x 27061/100000 -230753/100000))
0.0ms	x	@	0	(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x 27061/100000) 2) 53246947009/10000000000) (fma.f64 x 27061/100000 -230753/100000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
0.0ms	x	@	-inf	(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x 27061/100000) 2) 53246947009/10000000000) (fma.f64 x 27061/100000 -230753/100000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

rewrite117.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

803×	`log-prod_binary64`
319×	`log1p-udef_binary64`
318×	`expm1-udef_binary64`
249×	`log-pow_binary64`
227×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	45
1	402	41
2	4975	41

Stop Event

1×	node limit

Counts

2 → 157

Calls

Call 1

Inputs

(/.f64 (-.f64 (pow.f64 (*.f64 x 27061/100000) 2) 53246947009/10000000000) (fma.f64 x 27061/100000 -230753/100000))

(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x 27061/100000) 2) 53246947009/10000000000) (fma.f64 x 27061/100000 -230753/100000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

Outputs

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egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 732297721/10000000000 (*.f64 x x) -53246947009/10000000000) (*.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 732297721/10000000000 (*.f64 x x) -53246947009/10000000000) (*.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 732297721/10000000000 (*.f64 x x) -53246947009/10000000000) (*.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 sqrt.f64 (pow.f64 (/.f64 (fma.f64 732297721/10000000000 (*.f64 x x) -53246947009/10000000000) (*.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 732297721/10000000000 (*.f64 x x) -53246947009/10000000000) (*.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 732297721/10000000000 (*.f64 x x) -53246947009/10000000000) (*.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 732297721/10000000000 (*.f64 x x) -53246947009/10000000000) (*.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 (/.f64 (fma.f64 732297721/10000000000 (*.f64 x x) -53246947009/10000000000) (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 cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 732297721/10000000000 (*.f64 x x) -53246947009/10000000000) (fma.f64 x 27061/100000 -230753/100000)) 3) (pow.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3) (pow.f64 (/.f64 (fma.f64 732297721/10000000000 (*.f64 x x) -53246947009/10000000000) (fma.f64 x 27061/100000 -230753/100000)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 732297721/10000000000 (*.f64 x x) -53246947009/10000000000) (*.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 732297721/10000000000 (*.f64 x x) -53246947009/10000000000) (*.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 732297721/10000000000 (*.f64 x x) -53246947009/10000000000) (*.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 732297721/10000000000 (*.f64 x x) -53246947009/10000000000) (*.f64 (fma.f64 x 27061/100000 -230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1))))))

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

774×	`distribute-neg-frac_binary64`
741×	`fma-def_binary64`
691×	`associate-r_binary64`
417×	`times-frac_binary64`
283×	`associate-/l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	255
1	104	233
2	250	231
3	651	225
4	1960	222
5	6830	222

Stop Event

1×	node limit

Counts

181 → 174

Calls

Call 1

Inputs
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))
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)))))

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 27061/99229 x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 27061/99229 x)
0.0ms	x	@	-inf	(-.f64 27061/99229 x)
0.0ms	x	@	inf	(-.f64 27061/99229 x)

rewrite52.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

493×	`pow1_binary64`
487×	`add-sqr-sqrt_binary64`
465×	`add-log-exp_binary64`
465×	`log1p-expm1-u_binary64`
465×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	92	4
2	1177	4

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(-.f64 27061/99229 x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 27061/99229 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 27061/99229 (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) 27061/99229)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 27061/99229 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 27061/99229 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 27061/99229 x)) (pow.f64 (cbrt.f64 (-.f64 27061/99229 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 27061/99229 x)) 2) (cbrt.f64 (-.f64 27061/99229 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 27061/99229 x)) (sqrt.f64 (-.f64 27061/99229 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 19816708627981/977047873985989 (pow.f64 x 3)) (/.f64 1 (+.f64 732297721/9846394441 (*.f64 x (+.f64 27061/99229 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 732297721/9846394441 (*.f64 x x)) (/.f64 1 (+.f64 27061/99229 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 732297721/9846394441 (*.f64 x (+.f64 27061/99229 x))) (-.f64 19816708627981/977047873985989 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 27061/99229 x) (-.f64 732297721/9846394441 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 19816708627981/977047873985989 (pow.f64 x 3)) (+.f64 732297721/9846394441 (*.f64 x (+.f64 27061/99229 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 732297721/9846394441 (*.f64 x x)) (+.f64 27061/99229 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 19816708627981/977047873985989 (pow.f64 x 3))) (neg.f64 (+.f64 732297721/9846394441 (*.f64 x (+.f64 27061/99229 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 732297721/9846394441 (*.f64 x x))) (neg.f64 (+.f64 27061/99229 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 19816708627981/977047873985989 (pow.f64 (neg.f64 x) 3)) (+.f64 732297721/9846394441 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 27061/99229 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 732297721/9846394441 (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 27061/99229 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 27061/99229 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 27061/99229 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 27061/99229 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 27061/99229 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 27061/99229 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 27061/99229 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 27061/99229 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 27061/99229 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 27061/99229 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 27061/99229 x)))))))

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

7×	`sub-neg_binary64`
6×	`fma-def_binary64`
4×	`+-commutative_binary64`
3×	`associate-+l-_binary64`
3×	`associate--r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	61
1	9	43
2	14	43
3	18	43
4	25	43
5	35	43
6	47	43
7	59	43
8	62	43

Stop Event

1×

saturated

Counts

40 → 33

Calls

Call 1

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

Outputs
27061/99229
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (neg.f64 x))
(-.f64 27061/99229 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (neg.f64 x))
(-.f64 27061/99229 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (neg.f64 x))
(-.f64 27061/99229 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (neg.f64 x))
(-.f64 27061/99229 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (neg.f64 x))
(-.f64 27061/99229 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (neg.f64 x))
(-.f64 27061/99229 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (neg.f64 x))
(-.f64 27061/99229 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (neg.f64 x))
(-.f64 27061/99229 x)
(+.f64 27061/99229 (*.f64 -1 x))
(+.f64 27061/99229 (neg.f64 x))
(-.f64 27061/99229 x)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 20191289437/9846394441 x) x)
	0.1b	(/.f64 20191289437/9846394441 x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (/.f64 20191289437/9846394441 x) x)
0.0ms	x	@	inf	(-.f64 (/.f64 20191289437/9846394441 x) x)
0.0ms	x	@	-inf	(-.f64 (/.f64 20191289437/9846394441 x) x)

rewrite64.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
617×	`add-log-exp_binary64`
617×	`log1p-expm1-u_binary64`
617×	`expm1-log1p-u_binary64`
605×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	118	7
2	1648	7

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(-.f64 (/.f64 20191289437/9846394441 x) x)

Outputs

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

simplify32.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

78×	`fma-def_binary64`
67×	`fma-neg_binary64`
36×	`associate-/l*_binary64`
28×	`associate-/r*_binary64`
21×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	82
1	18	73
2	24	73
3	29	73
4	46	73
5	75	73
6	135	73
7	197	73
8	255	73
9	310	73
10	366	73
11	412	73
12	482	73
13	502	73
14	520	73

Stop Event

1×

saturated

Counts

48 → 41

Calls

Call 1

Inputs
(/.f64 20191289437/9846394441 x)
(+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x)))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x)))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x)))
(+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x)))

Outputs
(/.f64 20191289437/9846394441 x)
(+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 20191289437/9846394441 x))
(-.f64 (/.f64 20191289437/9846394441 x) x)
(+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 20191289437/9846394441 x))
(-.f64 (/.f64 20191289437/9846394441 x) x)
(+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 20191289437/9846394441 x))
(-.f64 (/.f64 20191289437/9846394441 x) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 20191289437/9846394441 x))
(-.f64 (/.f64 20191289437/9846394441 x) x)
(+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 20191289437/9846394441 x))
(-.f64 (/.f64 20191289437/9846394441 x) x)
(+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 20191289437/9846394441 x))
(-.f64 (/.f64 20191289437/9846394441 x) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 20191289437/9846394441 x))
(-.f64 (/.f64 20191289437/9846394441 x) x)
(+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 20191289437/9846394441 x))
(-.f64 (/.f64 20191289437/9846394441 x) x)
(+.f64 (.f64 -1 x) (.f64 20191289437/9846394441 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 20191289437/9846394441 x))
(-.f64 (/.f64 20191289437/9846394441 x) x)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series5.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

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

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
617×	`add-log-exp_binary64`
617×	`log1p-expm1-u_binary64`
617×	`expm1-log1p-u_binary64`
605×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	118	11
2	1648	11

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify28.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

78×	`fma-def_binary64`
67×	`fma-neg_binary64`
36×	`associate-/l*_binary64`
28×	`associate-/r*_binary64`
21×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	82
1	18	73
2	24	73
3	29	73
4	46	73
5	75	73
6	135	73
7	197	73
8	255	73
9	310	73
10	366	73
11	412	73
12	482	73
13	502	73
14	520	73

Stop Event

1×

saturated

Counts

68 → 61

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (*.f64 x -30191289437/10000000000))
✓	0.0b	(+.f64 (-.f64 (+.f64 1 (*.f64 x -30191289437/10000000000)) 1) 230753/100000)
	0.4b	(*.f64 x -30191289437/10000000000)
✓	4.0b	(-.f64 (+.f64 1 (*.f64 x -30191289437/10000000000)) 1)

Compiler

Compiled 29 to 24 computations (17.2% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(-.f64 (+.f64 1 (*.f64 x -30191289437/10000000000)) 1)
0.0ms	x	@	0	(-.f64 (+.f64 1 (*.f64 x -30191289437/10000000000)) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (*.f64 x -30191289437/10000000000)) 1)
0.0ms	x	@	-inf	(+.f64 1 (*.f64 x -30191289437/10000000000))
0.0ms	x	@	-inf	(+.f64 (-.f64 (+.f64 1 (*.f64 x -30191289437/10000000000)) 1) 230753/100000)

rewrite85.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`prod-diff_binary64`
525×	`unpow-prod-down_binary64`
483×	`fma-def_binary64`
356×	`log-prod_binary64`
295×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	210	16
2	2909	14

Stop Event

1×	node limit

Counts

3 → 230

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 x -30191289437/10000000000)) 1)
(+.f64 (-.f64 (+.f64 1 (*.f64 x -30191289437/10000000000)) 1) 230753/100000)
(+.f64 1 (*.f64 x -30191289437/10000000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 x -30191289437/10000000000 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 x -30191289437/10000000000 -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -30191289437/10000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x -30191289437/10000000000 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x -30191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 x -30191289437/10000000000 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x -30191289437/10000000000 -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -30191289437/10000000000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -30191289437/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -30191289437/10000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -30191289437/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x -30191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x -30191289437/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (cbrt.f64 -30191289437/10000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (sqrt.f64 -30191289437/10000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 -27519781727879580139643921576453/1000000000000000000000000000000 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -30191289437/10000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -30191289437/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x -30191289437/10000000000)) (cbrt.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 911513957868707776969/100000000000000000000)) (cbrt.f64 (*.f64 x -30191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -30191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (*.f64 (cbrt.f64 x) -30191289437/10000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x -30191289437/10000000000)) (sqrt.f64 (*.f64 x -30191289437/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -30191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) -30191289437/10000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 1) 2) (fma.f64 x -30191289437/10000000000 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 1) 3) -1) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 1) 2) (fma.f64 x -30191289437/10000000000 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 1) 2) -1) (/.f64 1 (fma.f64 x -30191289437/10000000000 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x -30191289437/10000000000 1) 2) -1) (pow.f64 (/.f64 1 (fma.f64 x -30191289437/10000000000 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 x -30191289437/10000000000 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x -30191289437/10000000000 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -30191289437/10000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -30191289437/10000000000 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 x -30191289437/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	192
1	13	156
2	17	156

Stop Event

1×

saturated

Counts

266 → 234

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)
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))
1
(+.f64 1 (*.f64 -30191289437/10000000000 x))
(+.f64 1 (*.f64 -30191289437/10000000000 x))
(+.f64 1 (*.f64 -30191289437/10000000000 x))
(*.f64 -30191289437/10000000000 x)
(+.f64 1 (*.f64 -30191289437/10000000000 x))
(+.f64 1 (*.f64 -30191289437/10000000000 x))
(+.f64 1 (*.f64 -30191289437/10000000000 x))
(*.f64 -30191289437/10000000000 x)
(+.f64 1 (*.f64 -30191289437/10000000000 x))
(+.f64 1 (*.f64 -30191289437/10000000000 x))
(+.f64 1 (*.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)
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)
1
(+.f64 1 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 1)
(fma.f64 -30191289437/10000000000 x 1)
(+.f64 1 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 1)
(fma.f64 -30191289437/10000000000 x 1)
(+.f64 1 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 1)
(fma.f64 -30191289437/10000000000 x 1)
(*.f64 -30191289437/10000000000 x)
(+.f64 1 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 1)
(fma.f64 -30191289437/10000000000 x 1)
(+.f64 1 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 1)
(fma.f64 -30191289437/10000000000 x 1)
(+.f64 1 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 1)
(fma.f64 -30191289437/10000000000 x 1)
(*.f64 -30191289437/10000000000 x)
(+.f64 1 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 1)
(fma.f64 -30191289437/10000000000 x 1)
(+.f64 1 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 1)
(fma.f64 -30191289437/10000000000 x 1)
(+.f64 1 (*.f64 -30191289437/10000000000 x))
(+.f64 (*.f64 -30191289437/10000000000 x) 1)
(fma.f64 -30191289437/10000000000 x 1)

eval374.0ms (5.6%)

Compiler: Compiled 14215 to 11169 computations (21.4% saved)

prune99.0ms (1.5%)

Pruning

17 alts after pruning (5 fresh and 12 done)

	Pruned	Kept	Total
New	672	2	674
Fresh	0	3	3
Picked	0	1	1
Done	1	11	12
Total	673	17	690

Error

Counts

690 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.2b	(neg.f64 x)
✓	0.0b	(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
✓	30.4b	(-.f64 (/.f64 20191289437/9846394441 x) x)
✓	30.2b	(-.f64 (/.f64 27061/4481 x) x)
	57.8b	27061/99229
✓	1.9b	(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x 99229/100000))) x)
✓	0.0b	(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (/.f64 (.f64 (-.f64 9846394441/10000000000 (pow.f64 (.f64 x 4481/100000) 2)) x) (+.f64 99229/100000 (.f64 -4481/100000 x))))) x)
✓	27.9b	(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)
	30.9b	(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)
✓	27.2b	(-.f64 27061/99229 x)
	33.0b	230753/100000
	15.0b	(-.f64 (/.f64 (/.f64 (fma.f64 732297721/10000000000 (*.f64 x x) -53246947009/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (fma.f64 x 27061/100000 -230753/100000)) x)
✓	27.9b	(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)
✓	2.6b	(-.f64 230753/100000 x)
	30.9b	(-.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 407688169128707776969/100000000000000000000) 53246947009/10000000000) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000)) x)
✓	32.0b	(-.f64 (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))) x)
✓	27.9b	(+.f64 (-.f64 (+.f64 1 (*.f64 x -30191289437/10000000000)) 1) 230753/100000)

Compiler

Compiled 173 to 132 computations (23.7% saved)

regimes46.0ms (0.7%)

Counts

28 → 1

Calls

Call 1

Inputs
27061/99229
230753/100000
230753/100000
(neg.f64 x)
(-.f64 27061/99229 x)
(-.f64 27061/99229 x)
(-.f64 230753/100000 x)
(-.f64 (/.f64 20191289437/9846394441 x) x)
(-.f64 (/.f64 27061/4481 x) x)
(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)
(-.f64 (/.f64 27061/4481 x) x)
(-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x)
(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)
(+.f64 (-.f64 (+.f64 1 (*.f64 x -30191289437/10000000000)) 1) 230753/100000)
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)
(-.f64 (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))) x)
(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x 99229/100000))) x)
(-.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 407688169128707776969/100000000000000000000) 53246947009/10000000000) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000)) x)
(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (/.f64 (.f64 (-.f64 9846394441/10000000000 (pow.f64 (.f64 x 4481/100000) 2)) x) (+.f64 99229/100000 (.f64 -4481/100000 x))))) x)
(-.f64 (fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000) x)
(-.f64 (*.f64 (fma.f64 x 27061/100000 230753/100000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) x)
(-.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 27061/100000 230753/100000)) -1) x)
(-.f64 (/.f64 (/.f64 (fma.f64 732297721/10000000000 (*.f64 x x) -53246947009/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (fma.f64 x 27061/100000 -230753/100000)) x)
(-.f64 (.f64 (/.f64 (-.f64 (pow.f64 (.f64 x 27061/100000) 2) 53246947009/10000000000) (fma.f64 x 27061/100000 -230753/100000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 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))) 3) x)
(-.f64 (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))) x)

Outputs
(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (/.f64 (.f64 (-.f64 9846394441/10000000000 (pow.f64 (.f64 x 4481/100000) 2)) x) (+.f64 99229/100000 (.f64 -4481/100000 x))))) x)

Calls

3 calls:

16.0ms

10.0ms

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

9.0ms

(-.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
0.0b	1	`x`
0.0b	1	`(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)`
0.0b	1	`(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)`

Compiler

Compiled 323 to 238 computations (26.3% saved)

regimes25.0ms (0.4%)

Counts

20 → 1

Calls

Call 1

Inputs
27061/99229
230753/100000
230753/100000
(neg.f64 x)
(-.f64 27061/99229 x)
(-.f64 27061/99229 x)
(-.f64 230753/100000 x)
(-.f64 (/.f64 20191289437/9846394441 x) x)
(-.f64 (/.f64 27061/4481 x) x)
(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)
(-.f64 (/.f64 27061/4481 x) x)
(-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x)
(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)
(+.f64 (-.f64 (+.f64 1 (*.f64 x -30191289437/10000000000)) 1) 230753/100000)
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)
(-.f64 (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))) x)
(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x 99229/100000))) x)
(-.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 407688169128707776969/100000000000000000000) 53246947009/10000000000) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000)) x)
(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)

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

Calls

2 calls:

11.0ms	x
8.0ms	(-.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
0.0b	1	`x`
0.0b	1	`(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)`

Compiler

Compiled 158 to 113 computations (28.5% saved)

regimes16.0ms (0.2%)

Counts

19 → 1

Calls

Call 1

Inputs
27061/99229
230753/100000
230753/100000
(neg.f64 x)
(-.f64 27061/99229 x)
(-.f64 27061/99229 x)
(-.f64 230753/100000 x)
(-.f64 (/.f64 20191289437/9846394441 x) x)
(-.f64 (/.f64 27061/4481 x) x)
(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)
(-.f64 (/.f64 27061/4481 x) x)
(-.f64 (+.f64 27061/99229 (/.f64 20191289437/9846394441 x)) x)
(-.f64 (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)) x)
(+.f64 (-.f64 (+.f64 1 (*.f64 x -30191289437/10000000000)) 1) 230753/100000)
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)
(-.f64 (-.f64 (/.f64 -2019128943700000/977047873985989 (*.f64 x x)) (-.f64 -27061/99229 (/.f64 20191289437/9846394441 x))) x)
(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x 99229/100000))) x)
(-.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 407688169128707776969/100000000000000000000) 53246947009/10000000000) (-.f64 (*.f64 -20191289437/10000000000 x) 230753/100000)) x)

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
1.9b	1	`x`

Compiler

Compiled 123 to 86 computations (30.1% saved)

regimes31.0ms (0.5%)

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

26.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 95 to 66 computations (30.5% saved)

bsearch46.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	0.3917278794254961	3.7643949243983412
23.0ms	-2644.5854058498144	-0.039895893103919736

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes25.0ms (0.4%)

Counts

14 → 3

Calls

Call 1

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

Outputs
(-.f64 (/.f64 27061/4481 x) x)
(+.f64 (*.f64 x -30191289437/10000000000) 230753/100000)
(-.f64 (/.f64 27061/4481 x) x)

Calls

1 calls:

22.0ms

Results

Error	Segments	Branch
1.0b	3	`x`

Compiler

Compiled 60 to 43 computations (28.3% saved)

bsearch46.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	0.3917278794254961	3.7643949243983412
24.0ms	-2644.5854058498144	-0.039895893103919736

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes9.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
27061/99229
230753/100000
230753/100000
(neg.f64 x)
(-.f64 27061/99229 x)
(-.f64 27061/99229 x)
(-.f64 230753/100000 x)
(-.f64 (/.f64 20191289437/9846394441 x) x)
(-.f64 (/.f64 27061/4481 x) x)

Outputs
(-.f64 230753/100000 x)

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
2.6b	1	`x`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes16.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

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

Outputs
(neg.f64 x)
230753/100000
(neg.f64 x)

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
1.7b	3	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch45.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	0.3917278794254961	3.7643949243983412
23.0ms	-2644.5854058498144	-0.039895893103919736

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes5.0ms (0.1%)

Accuracy

Total -24.8b remaining (-74.9%)

Threshold costs -24.8b (-74.9%)

Counts

3 → 1

Calls

Call 1

Inputs
27061/99229
230753/100000
230753/100000

Outputs
230753/100000

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
33.0b	1	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	190
1	84	190
2	95	190
3	98	190
4	99	190

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (/.f64 (.f64 (-.f64 9846394441/10000000000 (pow.f64 (.f64 x 4481/100000) 2)) x) (+.f64 99229/100000 (.f64 -4481/100000 x))))) x)
(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x 99229/100000))) x)
(if (<=.f64 x -2907752404378583/1099511627776) (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x) (if (<=.f64 x 7056742127245195/18014398509481984) (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000) (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)))
(if (<=.f64 x -2907752404378583/1099511627776) (-.f64 (/.f64 27061/4481 x) x) (if (<=.f64 x 7056742127245195/18014398509481984) (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000) (-.f64 (/.f64 27061/4481 x) x)))
(-.f64 230753/100000 x)
(if (<=.f64 x -2907752404378583/1099511627776) (neg.f64 x) (if (<=.f64 x 7056742127245195/18014398509481984) 230753/100000 (neg.f64 x)))
230753/100000
27061/99229

Outputs
(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (/.f64 (.f64 (-.f64 9846394441/10000000000 (pow.f64 (.f64 x 4481/100000) 2)) x) (+.f64 99229/100000 (.f64 -4481/100000 x))))) x)
(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (/.f64 (.f64 x (-.f64 9846394441/10000000000 (pow.f64 (.f64 x 4481/100000) 2))) (+.f64 99229/100000 (.f64 x -4481/100000))))) x)
(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000)))) x)
(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x 99229/100000))) x)
(if (<=.f64 x -2907752404378583/1099511627776) (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x) (if (<=.f64 x 7056742127245195/18014398509481984) (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000) (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)))
(if (<=.f64 x -2907752404378583/1099511627776) (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x) (if (<=.f64 x 7056742127245195/18014398509481984) (+.f64 230753/100000 (*.f64 x -30191289437/10000000000)) (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 x) x)) x)))
(if (<=.f64 x -2907752404378583/1099511627776) (-.f64 (/.f64 27061/4481 x) x) (if (<=.f64 x 7056742127245195/18014398509481984) (+.f64 (*.f64 x -30191289437/10000000000) 230753/100000) (-.f64 (/.f64 27061/4481 x) x)))
(if (<=.f64 x -2907752404378583/1099511627776) (-.f64 (/.f64 27061/4481 x) x) (if (<=.f64 x 7056742127245195/18014398509481984) (+.f64 230753/100000 (*.f64 x -30191289437/10000000000)) (-.f64 (/.f64 27061/4481 x) x)))
(-.f64 230753/100000 x)
(if (<=.f64 x -2907752404378583/1099511627776) (neg.f64 x) (if (<=.f64 x 7056742127245195/18014398509481984) 230753/100000 (neg.f64 x)))
230753/100000
27061/99229

Compiler

Compiled 140 to 104 computations (25.7% saved)

soundness0.0ms (0%)

end85.0ms (1.3%)

Compiler: Compiled 132 to 96 computations (27.3% saved)

Iter	Nodes	Cost
0	14	164
1	26	154
2	40	154
3	59	154
4	95	154
5	156	154
6	290	154
7	420	154
8	556	154
9	687	154
10	801	154
11	851	154
12	921	154
13	941	154
14	959	154

Iter	Nodes	Cost
0	10	82
1	18	73
2	24	73
3	29	73
4	46	73
5	75	73
6	135	73
7	197	73
8	255	73
9	310	73
10	366	73
11	412	73
12	482	73
13	502	73
14	520	73

Iter	Nodes	Cost
0	10	82
1	18	73
2	24	73
3	29	73
4	46	73
5	75	73
6	135	73
7	197	73
8	255	73
9	310	73
10	366	73
11	412	73
12	482	73
13	502	73
14	520	73

Iter	Nodes	Cost
0	14	164
1	26	154
2	40	154
3	59	154
4	95	154
5	156	154
6	290	154
7	420	154
8	556	154
9	687	154
10	801	154
11	851	154
12	921	154
13	941	154
14	959	154

Iter	Nodes	Cost
0	10	82
1	18	73
2	24	73
3	29	73
4	46	73
5	75	73
6	135	73
7	197	73
8	255	73
9	310	73
10	366	73
11	412	73
12	482	73
13	502	73
14	520	73

Iter	Nodes	Cost
0	10	82
1	18	73
2	24	73
3	29	73
4	46	73
5	75	73
6	135	73
7	197	73
8	255	73
9	310	73
10	366	73
11	412	73
12	482	73
13	502	73
14	520	73

Iter	Nodes	Cost
0	14	164
1	26	154
2	40	154
3	59	154
4	95	154
5	156	154
6	290	154
7	420	154
8	556	154
9	687	154
10	801	154
11	851	154
12	921	154
13	941	154
14	959	154

Iter	Nodes	Cost
0	10	82
1	18	73
2	24	73
3	29	73
4	46	73
5	75	73
6	135	73
7	197	73
8	255	73
9	310	73
10	366	73
11	412	73
12	482	73
13	502	73
14	520	73

Iter	Nodes	Cost
0	10	82
1	18	73
2	24	73
3	29	73
4	46	73
5	75	73
6	135	73
7	197	73
8	255	73
9	310	73
10	366	73
11	412	73
12	482	73
13	502	73
14	520	73