Details

analyze15.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 175 to 47 computations (73.1% saved)

sample2.1s (29.9%)

Results

2.1s

8256×

body

256

valid

preprocess86.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

755×	`unswap-sqr_binary64`
705×	`fma-def_binary64`
691×	`distribute-rgt-out_binary64`
546×	`+-commutative_binary64`
445×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	256
1	133	150
2	600	101
3	3272	90
4	5278	84
5	6135	84
6	6663	84
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)

Outputs
(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1049934947/10000000000 (.f64 x x))) (.f64 106015151/2500000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 36322091/5000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2532017/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1789971/10000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 7715471019/10000000000 (.f64 x x))) (.f64 2909738639/10000000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 694555761/10000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 70002721/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1665589/2000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 1789971/10000000000) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
(.f64 x (/.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1049934947/10000000000 (.f64 x x))) (+.f64 (.f64 106015151/2500000000 (.f64 x (.f64 x (.f64 x x)))) (.f64 36322091/5000000000 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))) (+.f64 (.f64 2532017/5000000000 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (.f64 1789971/10000000000 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))))) (+.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (.f64 (.f64 x x) 7715471019/10000000000) (.f64 (.f64 x (.f64 x (.f64 x x))) 2909738639/10000000000))) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) 694555761/10000000000)) (.f64 (.f64 70002721/5000000000 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 x x))) (+.f64 (.f64 (.f64 1665589/2000000000 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (.f64 x x)) (.f64 1789971/5000000000 (.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 x (.f64 x (*.f64 x x)))))))))
(.f64 x (/.f64 (fma.f64 1789971/10000000000 (.f64 (.f64 x (pow.f64 x 3)) (pow.f64 (.f64 x x) 3)) (fma.f64 2532017/5000000000 (.f64 (.f64 x x) (pow.f64 (.f64 x x) 3)) (fma.f64 36322091/5000000000 (pow.f64 (.f64 x x) 3) (fma.f64 106015151/2500000000 (.f64 x (pow.f64 x 3)) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 1789971/5000000000 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) (fma.f64 (.f64 (.f64 x (pow.f64 x 3)) (pow.f64 (.f64 x x) 3)) 1665589/2000000000 (fma.f64 (.f64 (.f64 x x) (pow.f64 (.f64 x x) 3)) 70002721/5000000000 (fma.f64 (pow.f64 (.f64 x x) 3) 694555761/10000000000 (fma.f64 (.f64 x (pow.f64 x 3)) 2909738639/10000000000 (fma.f64 (.f64 x x) 7715471019/10000000000 1))))))))
(/.f64 (.f64 x (+.f64 (fma.f64 1049934947/10000000000 (.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 1)) (fma.f64 36322091/5000000000 (pow.f64 x 6) (.f64 (pow.f64 (.f64 x x) 4) (+.f64 2532017/5000000000 (.f64 x (.f64 x 1789971/10000000000))))))) (+.f64 (.f64 (pow.f64 (.f64 x x) 4) (+.f64 70002721/5000000000 (.f64 x (.f64 x 1665589/2000000000)))) (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 x 4) 3) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) 1))))))
(.f64 x (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 (.f64 x x) 5) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 (.f64 x x) 5) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))
(.f64 x (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))

Compiler

Compiled 175 to 47 computations (73.1% saved)

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Rules

755×	`unswap-sqr_binary64`
705×	`fma-def_binary64`
691×	`distribute-rgt-out_binary64`
546×	`+-commutative_binary64`
445×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	256
1	133	150
2	600	101
3	3272	90
4	5278	84
5	6135	84
6	6663	84

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)

Outputs
(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1049934947/10000000000 (.f64 x x))) (.f64 106015151/2500000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 36322091/5000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2532017/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1789971/10000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 7715471019/10000000000 (.f64 x x))) (.f64 2909738639/10000000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 694555761/10000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 70002721/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1665589/2000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 1789971/10000000000) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
(.f64 x (/.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1049934947/10000000000 (.f64 x x))) (+.f64 (.f64 106015151/2500000000 (.f64 x (.f64 x (.f64 x x)))) (.f64 36322091/5000000000 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))) (+.f64 (.f64 2532017/5000000000 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (.f64 1789971/10000000000 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))))) (+.f64 (+.f64 (+.f64 (+.f64 1 (+.f64 (.f64 (.f64 x x) 7715471019/10000000000) (.f64 (.f64 x (.f64 x (.f64 x x))) 2909738639/10000000000))) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) 694555761/10000000000)) (.f64 (.f64 70002721/5000000000 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 x x))) (+.f64 (.f64 (.f64 1665589/2000000000 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (.f64 x x)) (.f64 1789971/5000000000 (.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 x (.f64 x (*.f64 x x)))))))))
(.f64 x (/.f64 (fma.f64 1789971/10000000000 (.f64 (.f64 x (pow.f64 x 3)) (pow.f64 (.f64 x x) 3)) (fma.f64 2532017/5000000000 (.f64 (.f64 x x) (pow.f64 (.f64 x x) 3)) (fma.f64 36322091/5000000000 (pow.f64 (.f64 x x) 3) (fma.f64 106015151/2500000000 (.f64 x (pow.f64 x 3)) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 1789971/5000000000 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) (fma.f64 (.f64 (.f64 x (pow.f64 x 3)) (pow.f64 (.f64 x x) 3)) 1665589/2000000000 (fma.f64 (.f64 (.f64 x x) (pow.f64 (.f64 x x) 3)) 70002721/5000000000 (fma.f64 (pow.f64 (.f64 x x) 3) 694555761/10000000000 (fma.f64 (.f64 x (pow.f64 x 3)) 2909738639/10000000000 (fma.f64 (.f64 x x) 7715471019/10000000000 1))))))))
(/.f64 (.f64 x (+.f64 (fma.f64 1049934947/10000000000 (.f64 x x) (fma.f64 106015151/2500000000 (pow.f64 x 4) 1)) (fma.f64 36322091/5000000000 (pow.f64 x 6) (.f64 (pow.f64 (.f64 x x) 4) (+.f64 2532017/5000000000 (.f64 x (.f64 x 1789971/10000000000))))))) (+.f64 (.f64 (pow.f64 (.f64 x x) 4) (+.f64 70002721/5000000000 (.f64 x (.f64 x 1665589/2000000000)))) (fma.f64 1789971/5000000000 (pow.f64 (pow.f64 x 4) 3) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) 1))))))
(.f64 x (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 (.f64 x x) 5) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 (.f64 x x) 5) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))
(.f64 x (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))

eval2.0ms (0%)

Compiler: Compiled 234 to 91 computations (61.1% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

30.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.3b	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1049934947/10000000000 (.f64 x x))) (.f64 106015151/2500000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 36322091/5000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2532017/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1789971/10000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 7715471019/10000000000 (.f64 x x))) (.f64 2909738639/10000000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 694555761/10000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 70002721/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1665589/2000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 1789971/10000000000) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
▶	30.3b	(.f64 x (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))

Status

Error

Program

▶

30.3b

(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)

▶

30.3b

(*.f64 x (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (*.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))

Compiler

Compiled 235 to 93 computations (60.4% saved)

localize142.0ms (2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x 7715471019/10000000000)
✓	0.3b	(fma.f64 1049934947/10000000000 (*.f64 x x) 1)
✓	16.4b	(.f64 x (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))
✓	29.7b	(/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))

Compiler

Compiled 349 to 260 computations (25.5% saved)

series8.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))
1.0ms	x	@	0	(/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))
1.0ms	x	@	-inf	(/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))
1.0ms	x	@	inf	(.f64 x (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))
1.0ms	x	@	-inf	(.f64 x (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))

rewrite94.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

381×	`add-sqr-sqrt_binary64`
366×	`add-log-exp_binary64`
366×	`log1p-expm1-u_binary64`
366×	`expm1-log1p-u_binary64`
361×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	177
1	825	177

Stop Event

1×	node limit

Counts

4 → 80

Calls

Call 1

Inputs
(/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))
(.f64 x (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))
(fma.f64 1049934947/10000000000 (*.f64 x x) 1)
(*.f64 x 7715471019/10000000000)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (/.f64 1 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))) 2) (cbrt.f64 (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))) (sqrt.f64 (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1)))))) (/.f64 1 (neg.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1)))))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1)))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1)))))) 1) (/.f64 (sqrt.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1)))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))) 2)) (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (cbrt.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1)))))) 2) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))) 2)) (cbrt.f64 (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1)))))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))) 2)) (/.f64 (sqrt.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1)))))) (cbrt.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))) (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (sqrt.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1)))))) 2) (sqrt.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))) (/.f64 (cbrt.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1)))))) (sqrt.f64 (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 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(fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1)))))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1049934947/10000000000 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1049934947/10000000000 (.f64 x x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1049934947/10000000000 (.f64 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 1049934947/10000000000 (.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1049934947/10000000000 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 1049934947/10000000000 (.f64 x x) 1)) (sqrt.f64 (fma.f64 1049934947/10000000000 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 1049934947/10000000000 (.f64 x x)) 3) 1) (+.f64 (.f64 (.f64 1049934947/10000000000 (.f64 x x)) (.f64 1049934947/10000000000 (.f64 x x))) (-.f64 1 (.f64 (.f64 1049934947/10000000000 (.f64 x x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 1049934947/10000000000 (.f64 x x)) (.f64 1049934947/10000000000 (.f64 x x))) 1) (-.f64 (.f64 1049934947/10000000000 (.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1049934947/10000000000 (.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1049934947/10000000000 (.f64 x x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1049934947/10000000000 (.f64 x x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1049934947/10000000000 (.f64 x x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1049934947/10000000000 (.f64 x x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1049934947/10000000000 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1049934947/10000000000 (.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1049934947/10000000000 (.f64 x x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1049934947/10000000000 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1049934947/10000000000 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1049934947/10000000000 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 1049934947/10000000000 (.f64 x x) 1)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x 7715471019/10000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 7715471019/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x 7715471019/10000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 7715471019/10000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x 7715471019/10000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) 59528493045028898361/100000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 7715471019/10000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x 7715471019/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x 7715471019/10000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x 7715471019/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x 7715471019/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x 7715471019/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x 7715471019/10000000000)) 1))))))

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Rules

748×	`distribute-lft-out_binary64`
618×	`fma-def_binary64`
487×	`associate-l_binary64`
487×	`associate-*l/_binary64`
441×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	555
1	182	535
2	422	531
3	1101	531
4	4372	531
5	7195	531

Stop Event

1×	node limit

Counts

128 → 115

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (.f64 -833192009/1250000000 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))))
(/.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))))
(/.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))))
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(+.f64 (.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
(/.f64 1/2 x)
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (/.f64 1 x)))))
(/.f64 1/2 x)
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (/.f64 1 x)))))
1
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2)))
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2)))
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2)))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2)))
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2)))
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2)))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2)))
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2)))
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2)))
(*.f64 7715471019/10000000000 x)
(*.f64 7715471019/10000000000 x)
(*.f64 7715471019/10000000000 x)
(*.f64 7715471019/10000000000 x)
(*.f64 7715471019/10000000000 x)
(*.f64 7715471019/10000000000 x)
(*.f64 7715471019/10000000000 x)
(*.f64 7715471019/10000000000 x)
(*.f64 7715471019/10000000000 x)
(*.f64 7715471019/10000000000 x)
(*.f64 7715471019/10000000000 x)
(*.f64 7715471019/10000000000 x)

Outputs
1
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(+.f64 1 (.f64 -833192009/1250000000 (.f64 x x)))
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (.f64 -833192009/1250000000 (pow.f64 x 2))))
(+.f64 1 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (.f64 -833192009/1250000000 (.f64 x x))))
(+.f64 (fma.f64 -833192009/1250000000 (.f64 x x) 1) (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)))
(fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (.f64 -833192009/1250000000 (.f64 x x)))))
(+.f64 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4))) (fma.f64 -833192009/1250000000 (.f64 x x) 1))
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) 1)))
(fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) 1)))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6))))
(+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)))
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)))))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6))))
(+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)))
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)))))
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x))
(+.f64 (.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) x)))
(/.f64 1/2 x)
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5))))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (/.f64 1 x)))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7)))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7)))))
(/.f64 1/2 x)
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5))))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (/.f64 1 x)))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7)))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7)))))
1
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) 1049934947/10000000000))
(fma.f64 (*.f64 x x) 1049934947/10000000000 1)
(fma.f64 x (*.f64 x 1049934947/10000000000) 1)
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) 1049934947/10000000000))
(fma.f64 (*.f64 x x) 1049934947/10000000000 1)
(fma.f64 x (*.f64 x 1049934947/10000000000) 1)
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) 1049934947/10000000000))
(fma.f64 (*.f64 x x) 1049934947/10000000000 1)
(fma.f64 x (*.f64 x 1049934947/10000000000) 1)
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 1049934947/10000000000)
(.f64 x (.f64 x 1049934947/10000000000))
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) 1049934947/10000000000))
(fma.f64 (*.f64 x x) 1049934947/10000000000 1)
(fma.f64 x (*.f64 x 1049934947/10000000000) 1)
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) 1049934947/10000000000))
(fma.f64 (*.f64 x x) 1049934947/10000000000 1)
(fma.f64 x (*.f64 x 1049934947/10000000000) 1)
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) 1049934947/10000000000))
(fma.f64 (*.f64 x x) 1049934947/10000000000 1)
(fma.f64 x (*.f64 x 1049934947/10000000000) 1)
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 1049934947/10000000000)
(.f64 x (.f64 x 1049934947/10000000000))
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) 1049934947/10000000000))
(fma.f64 (*.f64 x x) 1049934947/10000000000 1)
(fma.f64 x (*.f64 x 1049934947/10000000000) 1)
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) 1049934947/10000000000))
(fma.f64 (*.f64 x x) 1049934947/10000000000 1)
(fma.f64 x (*.f64 x 1049934947/10000000000) 1)
(+.f64 1 (*.f64 1049934947/10000000000 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) 1049934947/10000000000))
(fma.f64 (*.f64 x x) 1049934947/10000000000 1)
(fma.f64 x (*.f64 x 1049934947/10000000000) 1)
(*.f64 7715471019/10000000000 x)
(*.f64 x 7715471019/10000000000)
(*.f64 7715471019/10000000000 x)
(*.f64 x 7715471019/10000000000)
(*.f64 7715471019/10000000000 x)
(*.f64 x 7715471019/10000000000)
(*.f64 7715471019/10000000000 x)
(*.f64 x 7715471019/10000000000)
(*.f64 7715471019/10000000000 x)
(*.f64 x 7715471019/10000000000)
(*.f64 7715471019/10000000000 x)
(*.f64 x 7715471019/10000000000)
(*.f64 7715471019/10000000000 x)
(*.f64 x 7715471019/10000000000)
(*.f64 7715471019/10000000000 x)
(*.f64 x 7715471019/10000000000)
(*.f64 7715471019/10000000000 x)
(*.f64 x 7715471019/10000000000)
(*.f64 7715471019/10000000000 x)
(*.f64 x 7715471019/10000000000)
(*.f64 7715471019/10000000000 x)
(*.f64 x 7715471019/10000000000)
(*.f64 7715471019/10000000000 x)
(*.f64 x 7715471019/10000000000)

localize199.0ms (2.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 7715471019/10000000000 (.f64 x x))
✓	0.4b	(.f64 1049934947/10000000000 (.f64 x x))
✓	16.4b	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1049934947/10000000000 (.f64 x x))) (.f64 106015151/2500000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 36322091/5000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2532017/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1789971/10000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 7715471019/10000000000 (.f64 x x))) (.f64 2909738639/10000000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 694555761/10000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 70002721/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1665589/2000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 1789971/10000000000) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
✓	29.7b	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1049934947/10000000000 (.f64 x x))) (.f64 106015151/2500000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 36322091/5000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2532017/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1789971/10000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 7715471019/10000000000 (.f64 x x))) (.f64 2909738639/10000000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 694555761/10000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 70002721/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1665589/2000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 1789971/10000000000) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x)))))

Compiler

Compiled 1045 to 244 computations (76.7% saved)

series6.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1049934947/10000000000 (.f64 x x))) (.f64 106015151/2500000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 36322091/5000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2532017/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1789971/10000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 7715471019/10000000000 (.f64 x x))) (.f64 2909738639/10000000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 694555761/10000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 70002721/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1665589/2000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 1789971/10000000000) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x)))))
1.0ms	x	@	0	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1049934947/10000000000 (.f64 x x))) (.f64 106015151/2500000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 36322091/5000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2532017/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1789971/10000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 7715471019/10000000000 (.f64 x x))) (.f64 2909738639/10000000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 694555761/10000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 70002721/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1665589/2000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 1789971/10000000000) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x)))))
1.0ms	x	@	inf	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1049934947/10000000000 (.f64 x x))) (.f64 106015151/2500000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 36322091/5000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2532017/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1789971/10000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 7715471019/10000000000 (.f64 x x))) (.f64 2909738639/10000000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 694555761/10000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 70002721/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1665589/2000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 1789971/10000000000) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
0.0ms	x	@	-inf	(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1049934947/10000000000 (.f64 x x))) (.f64 106015151/2500000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 36322091/5000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2532017/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1789971/10000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 7715471019/10000000000 (.f64 x x))) (.f64 2909738639/10000000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 694555761/10000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 70002721/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1665589/2000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 1789971/10000000000) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x)))))
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rewrite99.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`pow1_binary64`
508×	`add-cbrt-cube_binary64`
506×	`add-cube-cbrt_binary64`
506×	`add-exp-log_binary64`
506×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	367
1	1071	367

Stop Event

1×	node limit

Counts

4 → 29

Calls

Call 1

Inputs
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1049934947/10000000000 (.f64 x x))) (.f64 106015151/2500000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 36322091/5000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2532017/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1789971/10000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 7715471019/10000000000 (.f64 x x))) (.f64 2909738639/10000000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 694555761/10000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 70002721/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1665589/2000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 1789971/10000000000) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (*.f64 x x)))))
(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1049934947/10000000000 (.f64 x x))) (.f64 106015151/2500000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 36322091/5000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2532017/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1789971/10000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 7715471019/10000000000 (.f64 x x))) (.f64 2909738639/10000000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 694555761/10000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 70002721/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1665589/2000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 1789971/10000000000) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
(.f64 1049934947/10000000000 (.f64 x x))
(.f64 7715471019/10000000000 (.f64 x x))

Outputs
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expm1.f64 (log1p.f64 (.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1049934947/10000000000 (.f64 x x))) (+.f64 (.f64 106015151/2500000000 (pow.f64 (.f64 x x) 2)) (.f64 36322091/5000000000 (pow.f64 (.f64 x x) 3)))) (.f64 2532017/5000000000 (.f64 (.f64 x x) (pow.f64 (.f64 x x) 3)))) (.f64 1789971/10000000000 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 2)))) (+.f64 (+.f64 (+.f64 1 (+.f64 (.f64 (.f64 x x) 7715471019/10000000000) (.f64 (pow.f64 (.f64 x x) 2) 2909738639/10000000000))) (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 694555761/10000000000) (.f64 (.f64 (.f64 x x) (pow.f64 (.f64 x x) 3)) 70002721/5000000000))) (+.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 2)) 1665589/2000000000) (.f64 1789971/5000000000 (.f64 (.f64 (.f64 x x) (pow.f64 (.f64 x x) 3)) (pow.f64 (.f64 x x) 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1049934947/10000000000 (.f64 x x))) (+.f64 (.f64 106015151/2500000000 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((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1049934947/10000000000 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 1049934947/10000000000 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (.f64 1049934947/10000000000 (.f64 x x)) (.f64 1049934947/10000000000 (.f64 x x))) (.f64 1049934947/10000000000 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1049934947/10000000000 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1049934947/10000000000 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1049934947/10000000000 (.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) 7715471019/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (.f64 x x) 7715471019/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (.f64 (.f64 x x) 7715471019/10000000000) (.f64 (.f64 x x) 7715471019/10000000000)) (.f64 (.f64 x x) 7715471019/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 x x) 7715471019/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 x x) 7715471019/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 x x) 7715471019/10000000000)))))))

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Rules

758×	`distribute-lft-out_binary64`
612×	`fma-def_binary64`
497×	`associate-l_binary64`
480×	`associate-*l/_binary64`
437×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	570
1	180	568
2	422	564
3	1104	564
4	4406	564
5	7214	564

Stop Event

1×	node limit

Counts

77 → 62

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (.f64 -833192009/1250000000 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))))
(/.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))))
(/.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))))
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(+.f64 (.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
(/.f64 1/2 x)
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (/.f64 1 x)))))
(/.f64 1/2 x)
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (/.f64 1 x)))))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(*.f64 7715471019/10000000000 (pow.f64 x 2))
(*.f64 7715471019/10000000000 (pow.f64 x 2))
(*.f64 7715471019/10000000000 (pow.f64 x 2))
(*.f64 7715471019/10000000000 (pow.f64 x 2))
(*.f64 7715471019/10000000000 (pow.f64 x 2))
(*.f64 7715471019/10000000000 (pow.f64 x 2))
(*.f64 7715471019/10000000000 (pow.f64 x 2))
(*.f64 7715471019/10000000000 (pow.f64 x 2))
(*.f64 7715471019/10000000000 (pow.f64 x 2))
(*.f64 7715471019/10000000000 (pow.f64 x 2))
(*.f64 7715471019/10000000000 (pow.f64 x 2))
(*.f64 7715471019/10000000000 (pow.f64 x 2))

Outputs
1
(+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 2)))
(+.f64 1 (.f64 -833192009/1250000000 (.f64 x x)))
(fma.f64 -833192009/1250000000 (*.f64 x x) 1)
(fma.f64 x (*.f64 -833192009/1250000000 x) 1)
(+.f64 1 (+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (.f64 -833192009/1250000000 (pow.f64 x 2))))
(+.f64 1 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (.f64 -833192009/1250000000 (.f64 x x))))
(+.f64 (fma.f64 -833192009/1250000000 (.f64 x x) 1) (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)))
(fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6)) (+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4)) (*.f64 -833192009/1250000000 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (.f64 -833192009/1250000000 (.f64 x x)))))
(+.f64 (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4))) (fma.f64 -833192009/1250000000 (.f64 x x) 1))
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) (fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) 1)))
(fma.f64 -833192009/1250000000 (*.f64 x x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 4) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 6) 1)))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6))))
(+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))))
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)))))
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 600041/2386628 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6))))
(+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 8))) (.f64 600041/2386628 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (+.f64 (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))))
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 6)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)))))
(+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 8)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 4)) (/.f64 1307076337763/8543989815576 (pow.f64 x 6)))))
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x))
(+.f64 (.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7)) (+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)))
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))
(fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) (fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) x)))
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -9156128575487588197208397249/125000000000000000000000000000 (pow.f64 x 7) x)))
(/.f64 1/2 x)
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1307076337763/8543989815576 (pow.f64 x 5))))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (/.f64 1 x)))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7)))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7)))))
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7)))))
(/.f64 1/2 x)
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1307076337763/8543989815576 (pow.f64 x 5))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1307076337763/8543989815576 (pow.f64 x 5))))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1307076337763/8543989815576 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 344398180852034095277/30586987988352776592 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (/.f64 1 x)))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7)))))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7)))))
(+.f64 (/.f64 1307076337763/8543989815576 (pow.f64 x 5)) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 344398180852034095277/30586987988352776592 (pow.f64 x 7)))))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 1049934947/10000000000)
(.f64 x (.f64 x 1049934947/10000000000))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 1049934947/10000000000)
(.f64 x (.f64 x 1049934947/10000000000))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 1049934947/10000000000)
(.f64 x (.f64 x 1049934947/10000000000))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 1049934947/10000000000)
(.f64 x (.f64 x 1049934947/10000000000))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 1049934947/10000000000)
(.f64 x (.f64 x 1049934947/10000000000))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 1049934947/10000000000)
(.f64 x (.f64 x 1049934947/10000000000))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 1049934947/10000000000)
(.f64 x (.f64 x 1049934947/10000000000))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 1049934947/10000000000)
(.f64 x (.f64 x 1049934947/10000000000))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 1049934947/10000000000)
(.f64 x (.f64 x 1049934947/10000000000))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 1049934947/10000000000)
(.f64 x (.f64 x 1049934947/10000000000))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 1049934947/10000000000)
(.f64 x (.f64 x 1049934947/10000000000))
(*.f64 1049934947/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 1049934947/10000000000)
(.f64 x (.f64 x 1049934947/10000000000))
(*.f64 7715471019/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 7715471019/10000000000)
(.f64 x (.f64 x 7715471019/10000000000))
(*.f64 7715471019/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 7715471019/10000000000)
(.f64 x (.f64 x 7715471019/10000000000))
(*.f64 7715471019/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 7715471019/10000000000)
(.f64 x (.f64 x 7715471019/10000000000))
(*.f64 7715471019/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 7715471019/10000000000)
(.f64 x (.f64 x 7715471019/10000000000))
(*.f64 7715471019/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 7715471019/10000000000)
(.f64 x (.f64 x 7715471019/10000000000))
(*.f64 7715471019/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 7715471019/10000000000)
(.f64 x (.f64 x 7715471019/10000000000))
(*.f64 7715471019/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 7715471019/10000000000)
(.f64 x (.f64 x 7715471019/10000000000))
(*.f64 7715471019/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 7715471019/10000000000)
(.f64 x (.f64 x 7715471019/10000000000))
(*.f64 7715471019/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 7715471019/10000000000)
(.f64 x (.f64 x 7715471019/10000000000))
(*.f64 7715471019/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 7715471019/10000000000)
(.f64 x (.f64 x 7715471019/10000000000))
(*.f64 7715471019/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 7715471019/10000000000)
(.f64 x (.f64 x 7715471019/10000000000))
(*.f64 7715471019/10000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 7715471019/10000000000)
(.f64 x (.f64 x 7715471019/10000000000))

eval201.0ms (2.9%)

Compiler: Compiled 12399 to 7410 computations (40.2% saved)

prune27.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	171	6	177
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	172	7	179

Error

Counts

179 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.5b	(+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (.f64 -833192009/1250000000 (pow.f64 x 3)) x))
▶	32.7b	(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
▶	47.8b	(.f64 (/.f64 1/2 (.f64 x x)) x)
✓	30.3b	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1049934947/10000000000 (.f64 x x))) (.f64 106015151/2500000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 36322091/5000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2532017/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1789971/10000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 7715471019/10000000000 (.f64 x x))) (.f64 2909738639/10000000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 694555761/10000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 70002721/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1665589/2000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 1789971/10000000000) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
	31.8b	x
▶	30.9b	(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x))
▶	30.4b	(/.f64 1/2 x)

Compiler

Compiled 264 to 113 computations (57.2% saved)

localize3.0ms (0%)

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 1/2 (*.f64 x x))
✓	31.1b	(.f64 (/.f64 1/2 (.f64 x x)) x)

Compiler

Compiled 18 to 8 computations (55.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (/.f64 1/2 (.f64 x x)) x)
0.0ms	x	@	0	(/.f64 1/2 (*.f64 x x))
0.0ms	x	@	inf	(.f64 (/.f64 1/2 (.f64 x x)) x)
0.0ms	x	@	inf	(/.f64 1/2 (*.f64 x x))
0.0ms	x	@	-inf	(.f64 (/.f64 1/2 (.f64 x x)) x)

rewrite79.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

630×	`pow1_binary64`
590×	`add-log-exp_binary64`
590×	`log1p-expm1-u_binary64`
590×	`expm1-log1p-u_binary64`
578×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	131	17
2	1649	17

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(.f64 (/.f64 1/2 (.f64 x x)) x)
(/.f64 1/2 (*.f64 x x))

Outputs

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

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

simplify175.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1137×	`associate-/r*_binary64`
1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
553×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	132
1	12	132
2	19	132
3	34	132
4	74	132
5	225	132
6	827	132
7	2032	132
8	2198	132
9	2382	132
10	2590	132
11	2887	132
12	3282	132
13	3761	132
14	4327	132
15	5009	132
16	5848	132
17	6244	132
18	6530	132
19	6806	132
20	6878	132
21	6914	132

Stop Event

1×	node limit

Counts

68 → 47

Calls

Call 1

Inputs
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))

Outputs
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))

localize18.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 -833192009/1250000000 (pow.f64 x 3))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series5.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(*.f64 -833192009/1250000000 (pow.f64 x 3))
1.0ms	x	@	0	(*.f64 -833192009/1250000000 (pow.f64 x 3))
1.0ms	x	@	inf	(*.f64 -833192009/1250000000 (pow.f64 x 3))

rewrite82.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`pow1_binary64`
499×	`add-sqr-sqrt_binary64`
477×	`add-log-exp_binary64`
477×	`log1p-expm1-u_binary64`
477×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1325	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 -833192009/1250000000 (pow.f64 x 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -833192009/1250000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -833192009/1250000000) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 694208923861456081/1562500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -833192009/1250000000) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3))))))))

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x))
✓	0.4b	(/.f64 600041/2386628 (pow.f64 x 3))

Compiler

Compiled 25 to 19 computations (24% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 600041/2386628 (pow.f64 x 3))
1.0ms	x	@	0	(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x))
0.0ms	x	@	inf	(/.f64 600041/2386628 (pow.f64 x 3))
0.0ms	x	@	-inf	(/.f64 600041/2386628 (pow.f64 x 3))
0.0ms	x	@	inf	(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x))

rewrite71.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

914×	`prod-diff_binary64`
437×	`log-prod_binary64`
297×	`fma-def_binary64`
264×	`pow2_binary64`
184×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	219	18
2	2956	18

Stop Event

1×	node limit

Counts

2 → 103

Calls

Call 1

Inputs
(/.f64 600041/2386628 (pow.f64 x 3))
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 600041/2386628 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 600041/2386628) (pow.f64 x -3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 600041/2386628) (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 600041/2386628) (pow.f64 x -3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 600041/2386628) (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 600041/2386628 (pow.f64 x -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 600041/2386628 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 600041/2386628 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 600041/2386628) x) (pow.f64 (/.f64 (cbrt.f64 600041/2386628) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 600041/2386628) x) 2) (/.f64 (cbrt.f64 600041/2386628) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 600041/2386628) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 600041/2386628) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -600041/2386628 (/.f64 1 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) 600041/2386628)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 600041/2386628) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 600041/2386628) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 216044283025868921/13594216883712345152 (pow.f64 (pow.f64 x -3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 2386628/600041) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 x 3) 2386628/600041) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 600041/2386628) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 600041/2386628 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 216044283025868921/13594216883712345152 (pow.f64 (pow.f64 x -3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 600041/2386628 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 600041/2386628 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 600041/2386628 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 600041/2386628 (pow.f64 x -3))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (-.f64 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))) 2) (cbrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))) (sqrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 600041/2386628 x (*.f64 (pow.f64 x 3) 1/2)) (/.f64 1 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 216044283025868921/13594216883712345152 (pow.f64 (pow.f64 x -3) 3) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 600041/4773256 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) (/.f64 1 (-.f64 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 x 4) (fma.f64 600041/2386628 x (*.f64 (pow.f64 x 3) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 600041/4773256 (pow.f64 x 4)))) (fma.f64 216044283025868921/13594216883712345152 (pow.f64 (pow.f64 x -3) 3) (/.f64 1/8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x)) (-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 600041/2386628 x (*.f64 (pow.f64 x 3) 1/2)) (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 216044283025868921/13594216883712345152 (pow.f64 (pow.f64 x -3) 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 600041/4773256 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 216044283025868921/13594216883712345152 (pow.f64 (pow.f64 x -3) 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 600041/4773256 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))) (-.f64 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 600041/2386628 x (*.f64 (pow.f64 x 3) 1/2))) (neg.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 216044283025868921/13594216883712345152 (pow.f64 (pow.f64 x -3) 3) (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 600041/4773256 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 (pow.f64 x 3) 2386628/600041) 1/2)) (*.f64 (*.f64 (pow.f64 x 3) 2386628/600041) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -600041/2386628 x (*.f64 (neg.f64 (pow.f64 x 3)) 1/2)) (*.f64 (neg.f64 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 600041/2386628 (*.f64 x 2) (pow.f64 x 3)) (*.f64 (pow.f64 x 3) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x 2 (*.f64 (*.f64 (pow.f64 x 3) 2386628/600041) 1)) (*.f64 (*.f64 (pow.f64 x 3) 2386628/600041) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -600041/2386628 (*.f64 x 2) (*.f64 (neg.f64 (pow.f64 x 3)) 1)) (*.f64 (neg.f64 (pow.f64 x 3)) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 600041/2386628 (neg.f64 x) (*.f64 (pow.f64 x 3) -1/2)) (*.f64 (pow.f64 x 3) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 x (*.f64 (*.f64 (pow.f64 x 3) 2386628/600041) -1/2)) (*.f64 (*.f64 (pow.f64 x 3) 2386628/600041) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -600041/2386628 (neg.f64 x) (*.f64 (neg.f64 (pow.f64 x 3)) -1/2)) (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (*.f64 x 2) 600041/2386628)) (*.f64 (*.f64 x 2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 (neg.f64 x) 600041/2386628)) (*.f64 (neg.f64 x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/2 (*.f64 (pow.f64 x 3) 2386628/600041) x) (*.f64 x (*.f64 (pow.f64 x 3) 2386628/600041)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 2386628/600041 (*.f64 (*.f64 x 2) 1)) (*.f64 (*.f64 x 2) (*.f64 (pow.f64 x 3) 2386628/600041)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/2 (*.f64 (pow.f64 x 3) 2386628/600041) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (*.f64 (pow.f64 x 3) 2386628/600041)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/2 (neg.f64 (pow.f64 x 3)) (*.f64 x -600041/2386628)) (*.f64 x (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (pow.f64 x 3) (*.f64 (*.f64 x 2) -600041/2386628)) (*.f64 (*.f64 x 2) (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/2 (neg.f64 (pow.f64 x 3)) (*.f64 (neg.f64 x) -600041/2386628)) (*.f64 (neg.f64 x) (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 360049201681/5695993210384 (pow.f64 x 6))) (-.f64 (/.f64 1/2 x) (*.f64 600041/2386628 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 600041/2386628 x (*.f64 (pow.f64 x 3) 1/2)) (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 4) (fma.f64 600041/2386628 x (*.f64 (pow.f64 x 3) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 600041/4773256 (pow.f64 x 4)))) (fma.f64 216044283025868921/13594216883712345152 (pow.f64 (pow.f64 x -3) 3) (/.f64 1/8 (pow.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x)) (-.f64 (/.f64 360049201681/5695993210384 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 600041/2386628 (pow.f64 x -3)))) (exp.f64 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 600041/2386628) (pow.f64 x -3)) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 600041/2386628 (pow.f64 x -3)))) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))) (pow.f64 (exp.f64 600041/2386628) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1/2 x)) (+.f64 1 (expm1.f64 (*.f64 600041/2386628 (pow.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))) (+.f64 1 (expm1.f64 (*.f64 600041/2386628 (pow.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 600041/2386628 (pow.f64 x -3) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 600041/2386628 (pow.f64 x -3)) 1 (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 1 x) (*.f64 600041/2386628 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 x) 1 (*.f64 600041/2386628 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 600041/2386628 (pow.f64 x -3)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/2 x) (*.f64 600041/2386628 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (*.f64 600041/2386628 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (cbrt.f64 (/.f64 1/2 x)) (*.f64 600041/2386628 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 600041/2386628) x) (pow.f64 (/.f64 (cbrt.f64 600041/2386628) x) 2) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (cbrt.f64 600041/2386628) x) 2) (/.f64 (cbrt.f64 600041/2386628) x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (*.f64 600041/2386628 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 600041/2386628) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 600041/2386628) (pow.f64 x 3/2)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -600041/2386628 (/.f64 1 (neg.f64 (pow.f64 x 3))) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 1 (neg.f64 x)) (*.f64 600041/2386628 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -3) 600041/2386628 (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1/2 (*.f64 600041/2386628 (pow.f64 x -3)))))))

simplify92.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1024×	`associate-/l*_binary64`
861×	`associate-*l/_binary64`
569×	`associate-/r/_binary64`
451×	`associate-*r/_binary64`
362×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	132
1	31	132
2	51	132
3	83	132
4	164	132
5	482	132
6	2051	132
7	2827	132
8	2924	132
9	3057	132
10	3215	132
11	3463	132
12	7337	132
13	7869	132

Stop Event

1×	node limit

Counts

115 → 108

Calls

Call 1

Inputs
(/.f64 600041/2386628 (pow.f64 x 3))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(/.f64 1/2 x)
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))

Outputs
(/.f64 600041/2386628 (pow.f64 x 3))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3)))
(/.f64 1/2 x)
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3)))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3)))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3)))
(/.f64 1/2 x)
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3)))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3)))
(+.f64 (.f64 600041/2386628 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3)))

localize40.0ms (0.6%)

Local error

Found 3 expressions with local error:

New

Error

Program

0.1b

(*.f64 -833192009/1250000000 (pow.f64 x 3))

✓

0.1b

(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))

✓

21.0b

(+.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x))

Compiler

Compiled 42 to 32 computations (23.8% saved)

series3.0ms (0%)

Counts

2 → 6

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (.f64 -833192009/1250000000 (pow.f64 x 3)) x))
1.0ms	x	@	0	(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))
1.0ms	x	@	0	(+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (.f64 -833192009/1250000000 (pow.f64 x 3)) x))
0.0ms	x	@	-inf	(+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (.f64 -833192009/1250000000 (pow.f64 x 3)) x))
0.0ms	x	@	-inf	(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))

rewrite87.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`log-prod_binary64`
547×	`fma-def_binary64`
332×	`pow2_binary64`
315×	`fma-neg_binary64`
228×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	279	22
2	3516	22

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

Inputs
(+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 10) 11031507013220673890527654054314383241/156250000000000000000000000000000000000) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (neg.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))) (/.f64 (pow.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x) 2) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (neg.f64 (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x)))))) 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(pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 3321371254951887171/12500000000000000000) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 3321371254951887171/12500000000000000000) (pow.f64 x 5/2)) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -833192009/1250000000) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -833192009/1250000000) (pow.f64 x 3/2)) (+.f64 x (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 9) -578409327937854629793656729/1953125000000000000000000000 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (*.f64 -833192009/1250000000 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 694208923861456081/1562500000000000000))) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 6) 694208923861456081/1562500000000000000 (neg.f64 (*.f64 x x))) (/.f64 1 (-.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3321371254951887171/12500000000000000000) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -833192009/1250000000) (+.f64 x (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3))) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) 2) (cbrt.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 x) (*.f64 x x) (+.f64 x (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3321371254951887171/12500000000000000000 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5/2)) (pow.f64 x 5/2) (fma.f64 -833192009/1250000000 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 (*.f64 x x)) x (+.f64 x (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3/2)) (pow.f64 x 3/2) (+.f64 x (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3321371254951887171/12500000000000000000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3321371254951887171/12500000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3321371254951887171/12500000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3321371254951887171/12500000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 10) 11031507013220673890527654054314383241/156250000000000000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 3321371254951887171/12500000000000000000) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 15) 36639730292511294221188179936424279490424752821885301211/1953125000000000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 10) 11031507013220673890527654054314383241/156250000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) 3321371254951887171/12500000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 15) 36639730292511294221188179936424279490424752821885301211/1953125000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -9178628745048112829/12500000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -9178628745048112829/12500000000000000000)) 1))))))

simplify175.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1204×	`sqr-pow_binary64`
710×	`cube-prod_binary64`
681×	`fabs-mul_binary64`
660×	`pow-sqr_binary64`
416×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	30	51
2	60	51
3	131	51
4	260	51
5	713	51
6	1077	51
7	1719	51
8	1827	51
9	1989	51
10	2202	51
11	2532	51
12	2988	51
13	3586	51
14	4338	51
15	5270	51
16	5780	51
17	6272	51
18	6670	51
19	6990	51
20	7152	51

Stop Event

1×	node limit

Counts

110 → 110

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))
(+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (.f64 -833192009/1250000000 (pow.f64 x 3)))
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))
(+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (.f64 -833192009/1250000000 (pow.f64 x 3)))

Outputs
x
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(fma.f64 -833192009/1250000000 (pow.f64 x 3) x)
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))
(+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (.f64 -833192009/1250000000 (pow.f64 x 3)))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3)))
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))
(*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5))
(+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (.f64 -833192009/1250000000 (pow.f64 x 3)))
(fma.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5) (*.f64 -833192009/1250000000 (pow.f64 x 3)))
(fma.f64 -833192009/1250000000 (pow.f64 x 3) (*.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)))

eval190.0ms (2.7%)

Compiler: Compiled 4345 to 3303 computations (24% saved)

prune57.0ms (0.8%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	284	3	287
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	284	10	294

Error

Counts

294 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.5b	(+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (.f64 -833192009/1250000000 (pow.f64 x 3)) x))
✓	32.7b	(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
▶	47.7b	(/.f64 (.f64 1/2 x) (.f64 x x))
	31.8b	x
✓	47.8b	(.f64 (/.f64 1/2 (.f64 x x)) x)
✓	30.3b	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1049934947/10000000000 (.f64 x x))) (.f64 106015151/2500000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 36322091/5000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2532017/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1789971/10000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 7715471019/10000000000 (.f64 x x))) (.f64 2909738639/10000000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 694555761/10000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 70002721/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1665589/2000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 1789971/10000000000) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
✓	30.4b	(/.f64 1/2 x)
▶	60.9b	(.f64 (-.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) 1) x)
▶	60.4b	(-.f64 (+.f64 1 (.f64 1/2 (/.f64 x (.f64 x x)))) 1)
✓	30.9b	(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x))

Compiler

Compiled 252 to 103 computations (59.1% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.6b	(/.f64 1/2 (*.f64 x x))
✓	1.1b	(-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) 1)
✓	14.7b	(.f64 (-.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) 1) x)

Compiler

Compiled 39 to 23 computations (41% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) 1)
0.0ms	x	@	0	(.f64 (-.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) 1) x)
0.0ms	x	@	inf	(.f64 (-.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) 1) x)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) 1)
0.0ms	x	@	-inf	(.f64 (-.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) 1) x)

rewrite87.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

992×	`pow1_binary64`
933×	`add-log-exp_binary64`
932×	`log1p-expm1-u_binary64`
932×	`expm1-log1p-u_binary64`
104×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	205	17
2	2864	17

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

Inputs
(.f64 (-.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) 1) x)
(-.f64 (+.f64 1 (/.f64 1/2 (*.f64 x x))) 1)

Outputs

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

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

simplify181.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1137×	`associate-/r*_binary64`
1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
553×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	132
1	12	132
2	19	132
3	34	132
4	74	132
5	225	132
6	827	132
7	2032	132
8	2198	132
9	2382	132
10	2590	132
11	2887	132
12	3282	132
13	3761	132
14	4327	132
15	5009	132
16	5848	132
17	6244	132
18	6530	132
19	6806	132
20	6878	132
21	6914	132

Stop Event

1×	node limit

Counts

101 → 79

Calls

Call 1

Inputs
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))

Outputs
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.8b	(-.f64 (+.f64 1 (.f64 1/2 (/.f64 x (.f64 x x)))) 1)
✓	31.5b	(/.f64 x (*.f64 x x))

Compiler

Compiled 39 to 17 computations (56.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f64 x (*.f64 x x))
0.0ms	x	@	0	(/.f64 x (*.f64 x x))
0.0ms	x	@	inf	(-.f64 (+.f64 1 (.f64 1/2 (/.f64 x (.f64 x x)))) 1)
0.0ms	x	@	0	(-.f64 (+.f64 1 (.f64 1/2 (/.f64 x (.f64 x x)))) 1)
0.0ms	x	@	inf	(/.f64 x (*.f64 x x))

rewrite71.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`pow1_binary64`
927×	`add-log-exp_binary64`
926×	`log1p-expm1-u_binary64`
926×	`expm1-log1p-u_binary64`
105×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	206	8
2	2924	8

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

Inputs
(/.f64 x (*.f64 x x))
(-.f64 (+.f64 1 (.f64 1/2 (/.f64 x (.f64 x x)))) 1)

Outputs

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

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	96
1	8	96

Stop Event

1×

saturated

Counts

111 → 88

Calls

Call 1

Inputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)

Outputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	31.5b	(/.f64 (.f64 1/2 x) (.f64 x x))

Compiler

Compiled 16 to 8 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (.f64 1/2 x) (.f64 x x))
0.0ms	x	@	inf	(/.f64 (.f64 1/2 x) (.f64 x x))
0.0ms	x	@	-inf	(/.f64 (.f64 1/2 x) (.f64 x x))

rewrite133.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

673×	`pow1_binary64`
633×	`add-log-exp_binary64`
633×	`log1p-expm1-u_binary64`
633×	`expm1-log1p-u_binary64`
617×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	133	4
2	1860	4

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(/.f64 (.f64 1/2 x) (.f64 x x))

Outputs

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48

Stop Event

1×

saturated

Counts

51 → 40

Calls

Call 1

Inputs
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)

Outputs
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)

eval66.0ms (0.9%)

Compiler: Compiled 2776 to 2115 computations (23.8% saved)

prune38.0ms (0.5%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	229	1	230
Fresh	0	1	1
Picked	1	0	1
Done	2	6	8
Total	232	8	240

Error

Counts

240 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.5b	(+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (.f64 -833192009/1250000000 (pow.f64 x 3)) x))
✓	32.7b	(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
✓	30.4b	(/.f64 1/2 x)
✓	60.9b	(.f64 (-.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) 1) x)
	31.8b	x
✓	30.3b	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1049934947/10000000000 (.f64 x x))) (.f64 106015151/2500000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 36322091/5000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2532017/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1789971/10000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 7715471019/10000000000 (.f64 x x))) (.f64 2909738639/10000000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 694555761/10000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 70002721/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1665589/2000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 1789971/10000000000) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
✓	30.9b	(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x))
▶	60.1b	(-.f64 (+.f64 1 (/.f64 1/2 x)) 1)

Compiler

Compiled 232 to 91 computations (60.8% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.8b	(-.f64 (+.f64 1 (/.f64 1/2 x)) 1)

Compiler

Compiled 19 to 15 computations (21.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (+.f64 1 (/.f64 1/2 x)) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (/.f64 1/2 x)) 1)
0.0ms	x	@	inf	(-.f64 (+.f64 1 (/.f64 1/2 x)) 1)

rewrite53.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`pow1_binary64`
736×	`add-log-exp_binary64`
736×	`log1p-expm1-u_binary64`
736×	`expm1-log1p-u_binary64`
725×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	163	4
2	2255	4

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 1/2 x)) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 1/2 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 1/2 x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1/2 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (cbrt.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 x)) 2) (+.f64 (/.f64 1/2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 1/2 x) 2) (/.f64 1/2 x)) (/.f64 1 (+.f64 (/.f64 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (/.f64 1/2 x))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (/.f64 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 x)) 2) (+.f64 (/.f64 1/2 x) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 x)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1/2 x) 2) (*.f64 (+.f64 (/.f64 1/2 x) 2) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (neg.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 x)) 2) (+.f64 (/.f64 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 x)) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1/2 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1/2 x) 2) (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1/2 x) 2) (/.f64 1/2 x)) (-.f64 (+.f64 1 (/.f64 1/2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 x)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 x)) 2) (+.f64 (/.f64 1/2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1/2 x) 2) (/.f64 1/2 x))) (neg.f64 (+.f64 (/.f64 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (/.f64 1/2 x) -1)) (+.f64 (/.f64 1/2 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (/.f64 1/2 x) -1))) (-.f64 1 (+.f64 (/.f64 1/2 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/8 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/8 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 1 (/.f64 1/2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 (/.f64 1/2 x))) (hypot.f64 1 (sqrt.f64 (/.f64 1/2 x))) -1)))))

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48

Stop Event

1×

saturated

Counts

61 → 49

Calls

Call 1

Inputs
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)

Outputs
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)

eval12.0ms (0.2%)

Compiler: Compiled 520 to 429 computations (17.5% saved)

prune11.0ms (0.2%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	1	1
Picked	0	1	1
Done	0	6	6
Total	49	8	57

Error

Counts

57 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.5b	(+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (.f64 -833192009/1250000000 (pow.f64 x 3)) x))
✓	32.7b	(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
✓	30.4b	(/.f64 1/2 x)
✓	60.9b	(.f64 (-.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) 1) x)
	31.8b	x
✓	30.3b	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1049934947/10000000000 (.f64 x x))) (.f64 106015151/2500000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 36322091/5000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2532017/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1789971/10000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 7715471019/10000000000 (.f64 x x))) (.f64 2909738639/10000000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 694555761/10000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 70002721/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1665589/2000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 1789971/10000000000) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
✓	30.9b	(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x))
✓	60.1b	(-.f64 (+.f64 1 (/.f64 1/2 x)) 1)

Compiler

Compiled 232 to 91 computations (60.8% saved)

regimes101.0ms (1.4%)

Counts

12 → 3

Calls

Call 1

Inputs
x
(/.f64 1/2 x)
(-.f64 (+.f64 1 (/.f64 1/2 x)) 1)
(/.f64 (.f64 1/2 x) (.f64 x x))
(.f64 (/.f64 1/2 (.f64 x x)) x)
(.f64 (-.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) 1) x)
(-.f64 (+.f64 1 (.f64 1/2 (/.f64 x (.f64 x x)))) 1)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x))
(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1049934947/10000000000 (.f64 x x))) (.f64 106015151/2500000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 36322091/5000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2532017/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1789971/10000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 7715471019/10000000000 (.f64 x x))) (.f64 2909738639/10000000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 694555761/10000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 70002721/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1665589/2000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 1789971/10000000000) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)
(+.f64 (.f64 3321371254951887171/12500000000000000000 (pow.f64 x 5)) (+.f64 (.f64 -833192009/1250000000 (pow.f64 x 3)) x))
(.f64 x (/.f64 (fma.f64 2532017/5000000000 (pow.f64 x 8) (fma.f64 1789971/10000000000 (pow.f64 x 10) (fma.f64 106015151/2500000000 (pow.f64 x 4) (fma.f64 36322091/5000000000 (pow.f64 x 6) (fma.f64 1049934947/10000000000 (.f64 x x) 1))))) (fma.f64 (pow.f64 x 10) 1665589/2000000000 (fma.f64 1789971/5000000000 (pow.f64 x 12) (fma.f64 (pow.f64 x 6) 694555761/10000000000 (fma.f64 (pow.f64 x 8) 70002721/5000000000 (fma.f64 x (*.f64 x 7715471019/10000000000) (fma.f64 (pow.f64 x 4) 2909738639/10000000000 1))))))))

Outputs

(/.f64 1/2 x)

(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)

(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x))

Calls

2 calls:

72.0ms

(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 1049934947/10000000000 (*.f64 x x))) (*.f64 106015151/2500000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 36322091/5000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 2532017/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1789971/10000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (*.f64 7715471019/10000000000 (*.f64 x x))) (*.f64 2909738639/10000000000 (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 694555761/10000000000 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 70002721/5000000000 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 1665589/2000000000 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 2 1789971/10000000000) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)

20.0ms

Results

Error	Segments	Branch
0.0b	3	`x`
0.3b	2	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1049934947/10000000000 (.f64 x x))) (.f64 106015151/2500000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 36322091/5000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2532017/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1789971/10000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 7715471019/10000000000 (.f64 x x))) (.f64 2909738639/10000000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 694555761/10000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 70002721/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1665589/2000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 1789971/10000000000) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)

Compiler

Compiled 486 to 188 computations (61.3% saved)

bsearch125.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
77.0ms	7.908190706125405	21429.54292376538
47.0ms	-8.564039961946689e+57	-3.25944592962656e+20

Compiler

Compiled 178 to 49 computations (72.5% saved)

regimes24.0ms (0.3%)

Counts

9 → 3

Calls

Call 1

Inputs
x
(/.f64 1/2 x)
(-.f64 (+.f64 1 (/.f64 1/2 x)) 1)
(/.f64 (.f64 1/2 x) (.f64 x x))
(.f64 (/.f64 1/2 (.f64 x x)) x)
(.f64 (-.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) 1) x)
(-.f64 (+.f64 1 (.f64 1/2 (/.f64 x (.f64 x x)))) 1)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x))

Outputs
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x))

Calls

1 calls:

20.0ms

Results

Error	Segments	Branch
0.2b	3	`x`

Compiler

Compiled 66 to 43 computations (34.8% saved)

bsearch202.0ms (2.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
113.0ms	7.357464671497419e-7	7.908190706125405
89.0ms	-8263.882917271578	-0.0032733772091323274

Compiler

Compiled 178 to 49 computations (72.5% saved)

regimes23.0ms (0.3%)

Counts

8 → 3

Calls

Call 1

Inputs
x
(/.f64 1/2 x)
(-.f64 (+.f64 1 (/.f64 1/2 x)) 1)
(/.f64 (.f64 1/2 x) (.f64 x x))
(.f64 (/.f64 1/2 (.f64 x x)) x)
(.f64 (-.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) 1) x)
(-.f64 (+.f64 1 (.f64 1/2 (/.f64 x (.f64 x x)))) 1)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)

Outputs
(/.f64 1/2 x)
(+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x)
(/.f64 1/2 x)

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
0.4b	3	`x`

Compiler

Compiled 57 to 36 computations (36.8% saved)

bsearch102.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
53.0ms	7.357464671497419e-7	7.908190706125405
49.0ms	-8263.882917271578	-0.0032733772091323274

Compiler

Compiled 178 to 49 computations (72.5% saved)

regimes26.0ms (0.4%)

Accuracy

Total -61.6b remaining (-10869.7%)

Threshold costs -61.6b (-10869.7%)

Counts

7 → 3

Calls

Call 1

Inputs
x
(/.f64 1/2 x)
(-.f64 (+.f64 1 (/.f64 1/2 x)) 1)
(/.f64 (.f64 1/2 x) (.f64 x x))
(.f64 (/.f64 1/2 (.f64 x x)) x)
(.f64 (-.f64 (+.f64 1 (/.f64 1/2 (.f64 x x))) 1) x)
(-.f64 (+.f64 1 (.f64 1/2 (/.f64 x (.f64 x x)))) 1)

Outputs
(/.f64 1/2 x)
x
(/.f64 1/2 x)

Calls

1 calls:

23.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 50 to 31 computations (38% saved)

bsearch103.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
53.0ms	7.357464671497419e-7	7.908190706125405
49.0ms	-8263.882917271578	-0.0032733772091323274

Compiler

Compiled 178 to 49 computations (72.5% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64`
13×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	385
1	105	385

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -8564039961946688746182560576856382674725350120463282470912) (/.f64 1/2 x) (if (<=.f64 x 4451915589660149/562949953421312) (.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1049934947/10000000000 (.f64 x x))) (.f64 106015151/2500000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 36322091/5000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2532017/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1789971/10000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 7715471019/10000000000 (.f64 x x))) (.f64 2909738639/10000000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 694555761/10000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 70002721/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1665589/2000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 1789971/10000000000) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x))))
(if (<=.f64 x -70986213735309/8589934592) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) (if (<=.f64 x 6948928912715387/9444732965739290427392) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x))))
(if (<=.f64 x -70986213735309/8589934592) (/.f64 1/2 x) (if (<=.f64 x 6948928912715387/9444732965739290427392) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) (/.f64 1/2 x)))
(if (<=.f64 x -70986213735309/8589934592) (/.f64 1/2 x) (if (<=.f64 x 6948928912715387/9444732965739290427392) x (/.f64 1/2 x)))
x

Outputs
(if (<=.f64 x -8564039961946688746182560576856382674725350120463282470912) (/.f64 1/2 x) (if (<=.f64 x 4451915589660149/562949953421312) (.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1049934947/10000000000 (.f64 x x))) (.f64 106015151/2500000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 36322091/5000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 2532017/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1789971/10000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 7715471019/10000000000 (.f64 x x))) (.f64 2909738639/10000000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 694555761/10000000000 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 70002721/5000000000 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 1665589/2000000000 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 2 1789971/10000000000) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x))))
(if (<=.f64 x -8564039961946688746182560576856382674725350120463282470912) (/.f64 1/2 x) (if (<=.f64 x 4451915589660149/562949953421312) (.f64 x (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 1049934947/10000000000 (.f64 x x))) (.f64 106015151/2500000000 (.f64 (.f64 x x) (.f64 x x)))) (.f64 36322091/5000000000 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 2532017/5000000000 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (.f64 1789971/10000000000 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 1 (.f64 (.f64 x x) 7715471019/10000000000)) (.f64 (.f64 (.f64 x x) (.f64 x x)) 2909738639/10000000000)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) 694555761/10000000000)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) 70002721/5000000000)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) 1665589/2000000000)) (.f64 1789971/5000000000 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))))))) (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3)))))
(if (<=.f64 x -70986213735309/8589934592) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x)) (if (<=.f64 x 6948928912715387/9444732965739290427392) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) (+.f64 (/.f64 600041/2386628 (pow.f64 x 3)) (/.f64 1/2 x))))
(if (<=.f64 x -70986213735309/8589934592) (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3))) (if (<=.f64 x 6948928912715387/9444732965739290427392) (+.f64 x (*.f64 (pow.f64 x 3) -833192009/1250000000)) (+.f64 (/.f64 1/2 x) (/.f64 600041/2386628 (pow.f64 x 3)))))
(if (<=.f64 x -70986213735309/8589934592) (/.f64 1/2 x) (if (<=.f64 x 6948928912715387/9444732965739290427392) (+.f64 (*.f64 -833192009/1250000000 (pow.f64 x 3)) x) (/.f64 1/2 x)))
(if (<=.f64 x -70986213735309/8589934592) (/.f64 1/2 x) (if (<=.f64 x 6948928912715387/9444732965739290427392) (+.f64 x (*.f64 (pow.f64 x 3) -833192009/1250000000)) (/.f64 1/2 x)))
(if (<=.f64 x -70986213735309/8589934592) (/.f64 1/2 x) (if (<=.f64 x 6948928912715387/9444732965739290427392) x (/.f64 1/2 x)))
x

Compiler

Compiled 266 to 113 computations (57.5% saved)

soundness1.2s (16.6%)

Algorithm

3×	egg-herbie

Rules

755×	`unswap-sqr_binary64`
755×	`unswap-sqr_binary64`
748×	`distribute-lft-out_binary64`
705×	`fma-def_binary64`
705×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	256
1	133	150
2	600	101
3	3272	90
4	5278	84
5	6135	84
6	6663	84
0	46	256
1	133	150
2	600	101
3	3272	90
4	5278	84
5	6135	84
6	6663	84
0	73	555
1	182	535
2	422	531
3	1101	531
4	4372	531
5	7195	531

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 29454 to 11522 computations (60.9% saved)

end86.0ms (1.2%)

Compiler: Compiled 262 to 109 computations (58.4% saved)

Details

analyze15.0ms (0.2%)

sample2.1s (29.9%)

preprocess86.0ms (1.2%)

simplify73.0ms (1%)

eval2.0ms (0%)

prune3.0ms (0%)

localize142.0ms (2%)

series8.0ms (0.1%)

rewrite94.0ms (1.3%)

simplify70.0ms (1%)

localize199.0ms (2.9%)

series6.0ms (0.1%)

rewrite99.0ms (1.4%)

simplify71.0ms (1%)

eval201.0ms (2.9%)

prune27.0ms (0.4%)

localize3.0ms (0%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite79.0ms (1.1%)

simplify175.0ms (2.5%)

localize18.0ms (0.3%)

series5.0ms (0.1%)

rewrite82.0ms (1.2%)

simplify7.0ms (0.1%)

localize11.0ms (0.2%)

series3.0ms (0%)

rewrite71.0ms (1%)

simplify92.0ms (1.3%)

localize40.0ms (0.6%)

series3.0ms (0%)

rewrite87.0ms (1.3%)

simplify175.0ms (2.5%)

eval190.0ms (2.7%)

prune57.0ms (0.8%)

localize16.0ms (0.2%)

series2.0ms (0%)

rewrite87.0ms (1.2%)

simplify181.0ms (2.6%)

localize11.0ms (0.2%)

series2.0ms (0%)

rewrite71.0ms (1%)

simplify9.0ms (0.1%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite133.0ms (1.9%)

simplify12.0ms (0.2%)

eval66.0ms (0.9%)

prune38.0ms (0.5%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite53.0ms (0.8%)

simplify8.0ms (0.1%)

eval12.0ms (0.2%)

prune11.0ms (0.2%)

regimes101.0ms (1.4%)

bsearch125.0ms (1.8%)

regimes24.0ms (0.3%)

bsearch202.0ms (2.9%)

regimes23.0ms (0.3%)

bsearch102.0ms (1.5%)

regimes26.0ms (0.4%)

bsearch103.0ms (1.5%)

simplify10.0ms (0.2%)

soundness1.2s (16.6%)

end86.0ms (1.2%)

Profiling