Details

analyze9.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
50%	50%	0%	4
75%	25%	0%	5
87.5%	12.5%	0%	6
93.7%	6.2%	0%	7
96.8%	3.1%	0%	8
98.4%	1.6%	0%	9
99.2%	0.8%	0%	10
99.6%	0.4%	0%	11
99.8%	0.2%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 21 to 17 computations (19% saved)

sample1.1s (34.6%)

Results

1.1s

8256×

body

128

valid

preprocess47.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

677×	`fma-def_binary64`
646×	`fma-neg_binary64`
298×	`distribute-rgt-in_binary64`
239×	`div-sub_binary64`
214×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	28
1	34	22
2	67	22
3	107	22
4	153	22
5	195	20
6	292	20
7	529	20
8	1152	20
9	2277	20
10	4735	20
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs

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

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

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

Compiler

Compiled 20 to 16 computations (20% saved)

simplify33.0ms (1%)

Algorithm

1×	egg-herbie

Rules

677×	`fma-def_binary64`
646×	`fma-neg_binary64`
298×	`distribute-rgt-in_binary64`
239×	`div-sub_binary64`
214×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	17	28
1	34	22
2	67	22
3	107	22
4	153	22
5	195	20
6	292	20
7	529	20
8	1152	20
9	2277	20
10	4735	20

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

Outputs

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

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

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

eval1.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

0.1b

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

0.1b

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

Compiler

Compiled 72 to 56 computations (22.2% saved)

localize12.0ms (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)
✓	14.6b	(/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))

series8.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

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

rewrite65.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`prod-diff_binary64`
159×	`add-sqr-sqrt_binary64`
150×	`add-cbrt-cube_binary64`
150×	`add-exp-log_binary64`
150×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	318	32
2	4273	32

Stop Event

1×	node limit

Counts

4 → 85

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))) (-.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 2)) (.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(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 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 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 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 -.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 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 log1p.f64 (expm1.f64 (.f64 x 27061/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x 27061/100000)))))))
((#(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 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 log1p.f64 (expm1.f64 (.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 4481/100000)))))))
((#(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 x (.f64 x 4481/100000)) (.f64 x 99229/100000))))) (#(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)) (+.f64 (.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 (+.f64 977047873985989/1000000000000000 (.f64 89975616641/1000000000000000 (pow.f64 x 3))) x) (-.f64 (+.f64 9846394441/10000000000 (pow.f64 (.f64 x 4481/100000) 2)) (.f64 444645149/10000000000 x)))))) (#(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 (+.f64 977047873985989/1000000000000000 (.f64 89975616641/1000000000000000 (pow.f64 x 3)))) (-.f64 (+.f64 9846394441/10000000000 (pow.f64 (.f64 x 4481/100000) 2)) (.f64 444645149/10000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 9846394441/10000000000 (pow.f64 (.f64 x 4481/100000) 2))) (+.f64 99229/100000 (.f64 -4481/100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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 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 log1p.f64 (expm1.f64 (.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))))

simplify36.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

771×	`fma-def_binary64`
417×	`times-frac_binary64`
286×	`associate-/l/_binary64`
245×	`associate-*l/_binary64`
214×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	396
1	113	392
2	262	381
3	686	357
4	2001	354

Stop Event

1×	node limit

Counts

133 → 109

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

eval51.0ms (1.6%)

Compiler: Compiled 2391 to 1904 computations (20.4% saved)

prune238.0ms (7.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	108	3	111

Error

0.1b

Counts

111 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (.f64 x 4481/100000))))) x))
	31.5b	(.f64 70711/100000 (-.f64 (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (.f64 x x)))) x))
▶	0.1b	(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

Status

Error

Program

✓

0.1b

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

31.5b

(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))) x))

▶

0.1b

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

Compiler

Compiled 92 to 70 computations (23.9% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
✓	0.1b	(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
✓	0.2b	(fma.f64 x 4481/100000 99229/100000)
✓	14.6b	(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series9.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
1.0ms	x	@	0	(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
1.0ms	x	@	inf	(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
0.0ms	x	@	-inf	(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
0.0ms	x	@	-inf	(fma.f64 x 4481/100000 99229/100000)

rewrite62.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

488×	`log-prod_binary64`
223×	`expm1-udef_binary64`
223×	`log1p-udef_binary64`
169×	`log-pow_binary64`
157×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 117

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) (.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (fma.f64 x 1913510371/10000000000 16316775383/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (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 1913510371/10000000000 16316775383/10000000000) (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 1913510371/10000000000 16316775383/10000000000) (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 1913510371/10000000000 16316775383/10000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (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 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) 3) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 99229/100000 (.f64 x 4481/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 4481/100000 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 4481/100000) 99229/100000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 4481/100000) 1) 99229/100000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000))) (cbrt.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 4481/100000 99229/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 4481/100000 99229/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x 4481/100000 99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) (pow.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) 2) (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 4481/100000 99229/100000)) (sqrt.f64 (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x 4481/100000) 3) 977047873985989/1000000000000000) (fma.f64 (.f64 x 4481/100000) (.f64 x 4481/100000) (-.f64 9846394441/10000000000 (.f64 (.f64 x 4481/100000) 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 x 4481/100000) (.f64 x 4481/100000) -9846394441/10000000000) (fma.f64 x 4481/100000 -99229/100000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 4481/100000 99229/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 4481/100000 99229/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 4481/100000 99229/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 4481/100000 99229/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 4481/100000 99229/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 4481/100000 99229/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x 4481/100000 99229/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 4481/100000 99229/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 4481/100000 99229/100000)))))))
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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))))

simplify38.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

511×	`fma-def_binary64`
417×	`times-frac_binary64`
284×	`associate-/l/_binary64`
267×	`fma-neg_binary64`
255×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	470
1	147	436
2	343	432
3	895	420
4	2477	420

Stop Event

1×	node limit

Counts

165 → 155

Calls

Call 1

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

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

eval75.0ms (2.4%)

Compiler: Compiled 3061 to 2374 computations (22.4% saved)

prune411.0ms (13.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	150	5	155
Fresh	1	0	1
Picked	0	1	1
Done	1	0	1
Total	152	6	158

Error

0.0b

Counts

158 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	21.4b	(cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3))
	21.3b	(/.f64 (+.f64 (pow.f64 (.f64 x -70711/100000) 3) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)) (fma.f64 (.f64 x -70711/100000) (.f64 x -70711/100000) (-.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
	31.5b	(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
✓	0.1b	(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
	16.1b	(pow.f64 (sqrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)
▶	1.4b	(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)

Compiler

Compiled 288 to 224 computations (22.2% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 x 4481/100000 99229/100000)
✓	0.3b	(cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
✓	1.2b	(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)
	14.6b	(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series10.0ms (0.3%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)
3.0ms	x	@	inf	(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)
1.0ms	x	@	0	(cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
0.0ms	x	@	inf	(cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))

rewrite67.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

253×	`expm1-udef_binary64`
253×	`log1p-udef_binary64`
195×	`log-pow_binary64`
157×	`prod-diff_binary64`
148×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -70711/100000) 1) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/6) (*.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/6) (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (sqrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)) 3) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2) 1) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2) (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/6)) (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -70711/100000) 3) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)) (fma.f64 (*.f64 x -70711/100000) (*.f64 x -70711/100000) (-.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x -70711/100000) (*.f64 x -70711/100000)) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (-.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (exp.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (exp.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x -70711/100000)) (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -70711/100000 x (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 x -70711/100000))))) (#(struct:change #<rule 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1913510371/10000000000 16316775383/10000000000)) (*.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -70711/100000) 1 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (fma.f64 x 1913510371/10000000000 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 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simplify34.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

420×	`fma-def_binary64`
371×	`associate-r_binary64`
361×	`associate-l_binary64`
224×	`associate-+l+_binary64`
209×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	615
1	275	603
2	940	536

Stop Event

1×	node limit

Counts

84 → 90

Calls

Call 1

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

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

eval129.0ms (4.1%)

Compiler: Compiled 4718 to 3890 computations (17.5% saved)

prune159.0ms (5.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	167	5	172
Fresh	2	2	4
Picked	0	1	1
Done	1	0	1
Total	170	8	178

Error

0.0b

Counts

178 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	21.3b	(/.f64 (+.f64 (pow.f64 (.f64 x -70711/100000) 3) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)) (fma.f64 (.f64 x -70711/100000) (.f64 x -70711/100000) (-.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
	1.3b	(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
	0.6b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
	31.5b	(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
▶	0.1b	(fma.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 x -70711/100000))
	29.9b	(fma.f64 (sqrt.f64 (.f64 x -70711/100000)) (sqrt.f64 (.f64 x -70711/100000)) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
	34.4b	(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
✓	1.4b	(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)

Compiler

Compiled 455 to 349 computations (23.3% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x -70711/100000)
	0.1b	(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
	0.2b	(fma.f64 x 4481/100000 99229/100000)
✓	0.4b	(/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
0.0ms	x	@	0	(*.f64 x -70711/100000)
0.0ms	x	@	0	(/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
0.0ms	x	@	inf	(*.f64 x -70711/100000)
0.0ms	x	@	-inf	(*.f64 x -70711/100000)

rewrite42.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`log1p-expm1-u_binary64`
811×	`expm1-log1p-u_binary64`
96×	`add-sqr-sqrt_binary64`
90×	`add-cbrt-cube_binary64`
90×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	203	16
2	2194	16

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

Outputs

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

simplify27.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

851×	`fma-def_binary64`
589×	`times-frac_binary64`
360×	`associate-/l/_binary64`
276×	`fma-neg_binary64`
206×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	255
1	109	253
2	261	250
3	711	243
4	2132	240

Stop Event

1×	node limit

Counts

60 → 53

Calls

Call 1

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

Outputs
1
(+.f64 1 (*.f64 -99229/100000 x))
(fma.f64 -99229/100000 x 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 -99229/100000 x)))
(+.f64 1 (fma.f64 -99229/100000 x (.f64 9398294441/10000000000 (.f64 x x))))
(fma.f64 x (*.f64 x 9398294441/10000000000) (fma.f64 -99229/100000 x 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 -888118844185989/1000000000000000 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 -888118844185989/1000000000000000 (pow.f64 x 3) (.f64 x (+.f64 -99229/100000 (.f64 x 9398294441/10000000000)))))
(fma.f64 x (fma.f64 x 9398294441/10000000000 -99229/100000) (fma.f64 -888118844185989/1000000000000000 (pow.f64 x 3) 1))
(fma.f64 x (fma.f64 x (fma.f64 x -888118844185989/1000000000000000 9398294441/10000000000) -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 (/.f64 100000/4481 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 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 (/.f64 (/.f64 100000/4481 x) x) (/.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 939829444100000/89975616641 (pow.f64 x 4)) (+.f64 (/.f64 100000/4481 (*.f64 x x)) (/.f64 -9922900000/20079361 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 100000/4481 x) x) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 939829444100000/89975616641 x) 9922900000/20079361)))
(-.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 939829444100000/89975616641 (pow.f64 x 4)) (-.f64 (/.f64 100000/4481 (*.f64 x x)) (+.f64 (/.f64 9922900000/20079361 (pow.f64 x 3)) (/.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 939829444100000/89975616641 (pow.f64 x 4)) (+.f64 (/.f64 -9922900000/20079361 (pow.f64 x 3)) (-.f64 (/.f64 100000/4481 (*.f64 x x)) (/.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 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 (/.f64 100000/4481 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 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 (/.f64 (/.f64 100000/4481 x) x) (/.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 939829444100000/89975616641 (pow.f64 x 4)) (+.f64 (/.f64 100000/4481 (*.f64 x x)) (/.f64 -9922900000/20079361 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 100000/4481 x) x) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 939829444100000/89975616641 x) 9922900000/20079361)))
(-.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 939829444100000/89975616641 (pow.f64 x 4)) (-.f64 (/.f64 100000/4481 (*.f64 x x)) (+.f64 (/.f64 9922900000/20079361 (pow.f64 x 3)) (/.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 939829444100000/89975616641 (pow.f64 x 4)) (+.f64 (/.f64 -9922900000/20079361 (pow.f64 x 3)) (-.f64 (/.f64 100000/4481 (*.f64 x x)) (/.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 -70711/100000 x)
(*.f64 x -70711/100000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)

eval65.0ms (2.1%)

Compiler: Compiled 2402 to 1903 computations (20.8% saved)

prune308.0ms (9.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	116	7	123

Error

0.0b

Counts

123 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
	31.5b	(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
	1.3b	(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
	0.1b	(fma.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) 2) (*.f64 x -70711/100000))
	29.9b	(fma.f64 (sqrt.f64 (.f64 x -70711/100000)) (sqrt.f64 (.f64 x -70711/100000)) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
	34.4b	(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
✓	1.4b	(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)

Compiler

Compiled 179 to 137 computations (23.5% saved)

regimes30.0ms (1%)

Accuracy

Total -63.9b remaining (-81820%)

Threshold costs -63.9b (-81820%)

Counts

14 → 1

Calls

Call 1

Inputs
(fma.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) 2) (*.f64 x -70711/100000))
(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(fma.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 x -70711/100000))
(fma.f64 (sqrt.f64 (.f64 x -70711/100000)) (sqrt.f64 (.f64 x -70711/100000)) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(cbrt.f64 (pow.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3))
(/.f64 (+.f64 (pow.f64 (.f64 x -70711/100000) 3) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)) (fma.f64 (.f64 x -70711/100000) (.f64 x -70711/100000) (-.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (.f64 (*.f64 x -70711/100000) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))
(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(pow.f64 (sqrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3)
(.f64 70711/100000 (-.f64 (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (.f64 x x)))) x))
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (.f64 x 4481/100000))))) x))

Outputs
(fma.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) 2) (*.f64 x -70711/100000))

Results

Time	Error	Segments	Branch
8.0ms	0.1b	1	`x`
7.0ms	0.1b	1	`(.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (.f64 x 4481/100000))))) x))`
6.0ms	0.1b	1	`(-.f64 (/.f64 (+.f64 230753/100000 (.f64 x 27061/100000)) (+.f64 1 (.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)`

Compiler

Compiled 378 to 288 computations (23.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	26
1	20	26

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) 2) (*.f64 x -70711/100000))

Outputs
(fma.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) 2) (*.f64 x -70711/100000))

end34.0ms (1.1%)

Stop Event

1×

fuel

Compiler

Compiled 40 to 32 computations (20% saved)

Details

analyze9.0ms (0.3%)

sample1.1s (34.6%)

preprocess47.0ms (1.5%)

simplify33.0ms (1%)

eval1.0ms (0%)

prune3.0ms (0.1%)

localize12.0ms (0.4%)

series8.0ms (0.3%)

rewrite65.0ms (2.1%)

simplify36.0ms (1.1%)

eval51.0ms (1.6%)

prune238.0ms (7.6%)

localize9.0ms (0.3%)

series9.0ms (0.3%)

rewrite62.0ms (2%)

simplify38.0ms (1.2%)

eval75.0ms (2.4%)

prune411.0ms (13.2%)

localize14.0ms (0.4%)

series10.0ms (0.3%)

rewrite67.0ms (2.1%)

simplify34.0ms (1.1%)

eval129.0ms (4.1%)

prune159.0ms (5.1%)

localize10.0ms (0.3%)

series3.0ms (0.1%)

rewrite42.0ms (1.3%)

simplify27.0ms (0.9%)

eval65.0ms (2.1%)

prune308.0ms (9.9%)

regimes30.0ms (1%)

simplify2.0ms (0.1%)

end34.0ms (1.1%)

Profiling