Details

analyze1.3s (8.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
37.4%	62.4%	0.1%	8
37.4%	62.4%	0.1%	9
37.4%	62.4%	0.1%	10
43.7%	56.2%	0.1%	11
43.7%	56.2%	0.1%	12
43.7%	56.2%	0.1%	13
61.7%	38.2%	0.1%	14

Compiler

Compiled 41 to 30 computations (26.8% saved)

sample1.4s (9.4%)

Results

1.4s	8256×	body	128	valid
1.0ms	7×	body	128	invalid

Compiler

Compiled 122 to 89 computations (27% saved)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

742×	`associate-+l+_binary64`
706×	`distribute-rgt-in_binary64`
700×	`distribute-lft-in_binary64`
670×	`associate-+r+_binary64`
226×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	41
1	64	41
2	157	41
3	531	41
4	1733	41

Stop Event

1×	node limit

Counts

1 → 2

prune5.0ms (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

23.2b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	23.2b	(*.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
	26.1b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))

Status

Error

Program

▶

23.2b

(*.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))

26.1b

(/.f64 (*.f64 (-.f64 x 2) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))

Compiler

Compiled 216 to 150 computations (30.6% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)
✓	0.3b	(*.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
✓	0.3b	(fma.f64 x 104109730557/25000000000 393497462077/5000000000)
✓	22.4b	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))

series555.0ms (3.6%)

Counts

4 → 108

Calls

4 calls:

297.0ms	(*.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
246.0ms	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))
9.0ms	(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)
2.0ms	(fma.f64 x 104109730557/25000000000 393497462077/5000000000)

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

247×	`add-sqr-sqrt_binary64`
234×	`log1p-expm1-u_binary64`
234×	`expm1-log1p-u_binary64`
233×	`add-cbrt-cube_binary64`
233×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	94
1	500	94

Stop Event

1×	node limit

Counts

4 → 89

Calls

4 calls:

57.0ms	(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)
57.0ms	(*.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
57.0ms	(fma.f64 x 104109730557/25000000000 393497462077/5000000000)
57.0ms	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))

simplify155.0ms (1%)

Algorithm

1×	egg-herbie

Rules

445×	`associate--l+_binary64`
303×	`cancel-sign-sub-inv_binary64`
277×	`associate-r_binary64`
253×	`associate-l_binary64`
245×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	195	9748
1	596	9708
2	2023	9622

Stop Event

1×	node limit

Counts

197 → 157

prune250.0ms (1.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	148	9	157
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	150	9	159

Error

0.2b

Counts

159 → 9

Alt Table

Status	Error	Program
	26.1b	(/.f64 (*.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))
▶	22.9b	(.f64 (+.f64 x -2) (+.f64 (+.f64 (/.f64 z (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000)))))) (fma.f64 4297481763/31250000 (/.f64 x (/.f64 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000))))) x)) (.f64 393497462077/5000000000 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000))))))))) (fma.f64 104109730557/25000000000 (/.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000)))))) (/.f64 y (/.f64 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000))))) x)))))
	35.4b	(.f64 (/.f64 (+.f64 x -2) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000)))))) (+.f64 z (fma.f64 104109730557/25000000000 (pow.f64 x 4) (.f64 x (.f64 x (+.f64 (.f64 393497462077/5000000000 x) 4297481763/31250000))))))
	32.9b	(*.f64 (+.f64 x -2) (+.f64 (+.f64 (/.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x) x) (/.f64 y (pow.f64 x 3))) (-.f64 104109730557/25000000000 (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))))))
	23.3b	(.f64 (+.f64 x -2) (.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))
	42.0b	(*.f64 (+.f64 x -2) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) 2))
	41.7b	(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 3) (pow.f64 (+.f64 x -2) 3)))
	23.2b	(/.f64 (.f64 1 (fma.f64 x x -4)) (.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (-.f64 x -2)))
	26.1b	(-.f64 (+.f64 (.f64 1759267849271/25000000000 (/.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x))))))) (+.f64 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x)))))) (+.f64 (.f64 104109730557/25000000000 (/.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x))))))) (/.f64 (.f64 z x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x))))))))) (+.f64 (.f64 2 (/.f64 (.f64 y x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x))))))) (+.f64 (.f64 2 (/.f64 z (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x))))))) (+.f64 (.f64 4297481763/15625000 (/.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x))))))) (.f64 49698921037/2500000000 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x)))))))))))

Compiler

Compiled 7091 to 4927 computations (30.5% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	8.6b	(+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000)))))
✓	9.2b	(fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000)))
✓	22.1b	(/.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000))))))
✓	22.5b	(/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000))))))

series14.0ms (0.1%)

Counts

4 → 48

Calls

4 calls:

5.0ms	(+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000)))))
3.0ms	(/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000))))))
3.0ms	(/.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000))))))
3.0ms	(fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000)))

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

186×	`add-sqr-sqrt_binary64`
186×	`log1p-expm1-u_binary64`
186×	`expm1-log1p-u_binary64`
183×	`add-cbrt-cube_binary64`
179×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	111
1	405	111

Stop Event

1×	node limit

Counts

4 → 135

Calls

4 calls:

53.0ms	(+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000)))))
53.0ms	(fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000)))
53.0ms	(/.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000))))))
53.0ms	(/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000))))))

simplify41.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

474×	`cancel-sign-sub-inv_binary64`
441×	`fma-neg_binary64`
296×	`fma-def_binary64`
263×	`*-commutative_binary64`
179×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	720
1	227	706
2	626	678
3	2017	667

Stop Event

1×	node limit

Counts

183 → 188

prune2.2s (14.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	531	1	532
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	531	10	541

Error

0.2b

Counts

541 → 10

Alt Table

Status	Error	Program
	26.1b	(/.f64 (*.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))
✓	22.9b	(.f64 (+.f64 x -2) (+.f64 (+.f64 (/.f64 z (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000)))))) (fma.f64 4297481763/31250000 (/.f64 x (/.f64 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000))))) x)) (.f64 393497462077/5000000000 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000))))))))) (fma.f64 104109730557/25000000000 (/.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000)))))) (/.f64 y (/.f64 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000))))) x)))))
	35.4b	(.f64 (/.f64 (+.f64 x -2) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000)))))) (+.f64 z (fma.f64 104109730557/25000000000 (pow.f64 x 4) (.f64 x (.f64 x (+.f64 (.f64 393497462077/5000000000 x) 4297481763/31250000))))))
	32.9b	(*.f64 (+.f64 x -2) (+.f64 (+.f64 (/.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x) x) (/.f64 y (pow.f64 x 3))) (-.f64 104109730557/25000000000 (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))))))
	23.3b	(.f64 (+.f64 x -2) (.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))
	42.0b	(*.f64 (+.f64 x -2) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) 2))
	41.7b	(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 3) (pow.f64 (+.f64 x -2) 3)))
▶	23.2b	(/.f64 (.f64 1 (fma.f64 x x -4)) (.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (-.f64 x -2)))
	40.4b	(.f64 (+.f64 x -2) (+.f64 (+.f64 (/.f64 z (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000)))))) (fma.f64 4297481763/31250000 (/.f64 x (/.f64 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000))))) x)) (.f64 393497462077/5000000000 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000))))))))) (fma.f64 104109730557/25000000000 (/.f64 (pow.f64 x 4) (.f64 (.f64 x x) (+.f64 263505074721/1000000000 (.f64 x (+.f64 x 216700011257/5000000000))))) (/.f64 y (/.f64 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (*.f64 x 156699607947/500000000))))) x)))))
	26.1b	(-.f64 (+.f64 (.f64 1759267849271/25000000000 (/.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x))))))) (+.f64 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x)))))) (+.f64 (.f64 104109730557/25000000000 (/.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x))))))) (/.f64 (.f64 z x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x))))))))) (+.f64 (.f64 2 (/.f64 (.f64 y x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x))))))) (+.f64 (.f64 2 (/.f64 z (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x))))))) (+.f64 (.f64 4297481763/15625000 (/.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x))))))) (.f64 49698921037/2500000000 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x)))))))))))

Compiler

Compiled 71357 to 50210 computations (29.6% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)
	0.3b	(fma.f64 x 104109730557/25000000000 393497462077/5000000000)
✓	16.7b	(/.f64 (.f64 1 (fma.f64 x x -4)) (.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (-.f64 x -2)))
✓	22.4b	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))

series815.0ms (5.3%)

Counts

2 → 72

Calls

2 calls:

436.0ms

(/.f64 (*.f64 1 (fma.f64 x x -4)) (*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (-.f64 x -2)))

378.0ms

(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))

rewrite41.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

273×	`log1p-expm1-u_binary64`
273×	`expm1-log1p-u_binary64`
272×	`add-cbrt-cube_binary64`
271×	`add-log-exp_binary64`
270×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	83
1	609	83

Stop Event

1×	node limit

Counts

2 → 37

Calls

2 calls:

40.0ms

(/.f64 (*.f64 1 (fma.f64 x x -4)) (*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (-.f64 x -2)))

40.0ms

(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))

simplify248.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

742×	`associate-/l*_binary64`
362×	`+-commutative_binary64`
323×	`associate-+r+_binary64`
323×	`fma-def_binary64`
253×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	969	19077
1	3408	19063

Stop Event

1×	node limit

Counts

109 → 109

prune452.0ms (2.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	159	3	162
Fresh	2	6	8
Picked	1	0	1
Done	1	0	1
Total	163	9	172

Error

0.2b

Counts

172 → 9

Alt Table

Status	Error	Program
	23.3b	(.f64 (+.f64 x -2) (.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))
	42.0b	(*.f64 (+.f64 x -2) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) 2))
	36.1b	(/.f64 (.f64 1 (fma.f64 x x -4)) (.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (+.f64 (.f64 393497462077/5000000000 (pow.f64 x 2)) (.f64 104109730557/25000000000 (pow.f64 x 3))) z)) (-.f64 x -2)))
	52.2b	(/.f64 (.f64 1 (fma.f64 x x -4)) (.f64 (+.f64 25000000000/104109730557 (+.f64 (/.f64 63615716158700684400745/10838835996651139530249 x) (/.f64 -62709100422033044315499015921848600/1128428295162862690821234941118693 (*.f64 x x)))) (-.f64 x -2)))
▶	23.3b	(/.f64 (.f64 1 (fma.f64 x x -4)) (.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) (-.f64 x -2)))
	26.1b	(/.f64 (*.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))
	40.4b	(.f64 (+.f64 x -2) (+.f64 (+.f64 (/.f64 z (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000)))))) (fma.f64 4297481763/31250000 (/.f64 x (/.f64 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000))))) x)) (.f64 393497462077/5000000000 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000))))))))) (fma.f64 104109730557/25000000000 (/.f64 (pow.f64 x 4) (.f64 (.f64 x x) (+.f64 263505074721/1000000000 (.f64 x (+.f64 x 216700011257/5000000000))))) (/.f64 y (/.f64 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (*.f64 x 156699607947/500000000))))) x)))))
	26.1b	(-.f64 (+.f64 (.f64 1759267849271/25000000000 (/.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x))))))) (+.f64 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x)))))) (+.f64 (.f64 104109730557/25000000000 (/.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x))))))) (/.f64 (.f64 z x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x))))))))) (+.f64 (.f64 2 (/.f64 (.f64 y x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x))))))) (+.f64 (.f64 2 (/.f64 z (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x))))))) (+.f64 (.f64 4297481763/15625000 (/.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x))))))) (.f64 49698921037/2500000000 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x)))))))))))
	32.9b	(*.f64 (+.f64 x -2) (+.f64 (+.f64 (/.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x) x) (/.f64 y (pow.f64 x 3))) (-.f64 104109730557/25000000000 (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))))))

Compiler

Compiled 18356 to 12794 computations (30.3% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))
	0.3b	(fma.f64 x 104109730557/25000000000 393497462077/5000000000)
✓	16.7b	(/.f64 (.f64 1 (fma.f64 x x -4)) (.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) (-.f64 x -2)))
✓	22.3b	(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)))

series835.0ms (5.4%)

Counts

3 → 108

Calls

3 calls:

379.0ms

(/.f64 (*.f64 1 (fma.f64 x x -4)) (*.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) (-.f64 x -2)))

363.0ms

(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)))

91.0ms

(/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))

rewrite45.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

282×	`log1p-expm1-u_binary64`
282×	`expm1-log1p-u_binary64`
281×	`add-cbrt-cube_binary64`
280×	`add-log-exp_binary64`
279×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	103
1	632	103

Stop Event

1×	node limit

Counts

3 → 52

Calls

3 calls:

43.0ms

(/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))

43.0ms

(/.f64 (*.f64 1 (fma.f64 x x -4)) (*.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) (-.f64 x -2)))

43.0ms

(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)))

simplify283.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

458×	`+-commutative_binary64`
401×	`associate-+r+_binary64`
401×	`fma-def_binary64`
310×	`*-commutative_binary64`
234×	`associate-*r/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1170	22873
1	4179	22859

Stop Event

1×	node limit

Counts

160 → 168

prune495.0ms (3.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	189	1	190
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	191	8	199

Error

0.2b

Counts

199 → 8

Alt Table

Status	Error	Program
	23.3b	(.f64 (+.f64 x -2) (.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))
	42.0b	(*.f64 (+.f64 x -2) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) 2))
	52.2b	(/.f64 (.f64 1 (fma.f64 x x -4)) (.f64 (+.f64 25000000000/104109730557 (+.f64 (/.f64 63615716158700684400745/10838835996651139530249 x) (/.f64 -62709100422033044315499015921848600/1128428295162862690821234941118693 (*.f64 x x)))) (-.f64 x -2)))
✓	23.3b	(/.f64 (.f64 1 (fma.f64 x x -4)) (.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) (-.f64 x -2)))
	23.2b	(*.f64 1 (/.f64 (/.f64 (fma.f64 x x -4) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) (+.f64 x 2)))
	40.4b	(.f64 (+.f64 x -2) (+.f64 (+.f64 (/.f64 z (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000)))))) (fma.f64 4297481763/31250000 (/.f64 x (/.f64 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000))))) x)) (.f64 393497462077/5000000000 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (.f64 x 156699607947/500000000))))))))) (fma.f64 104109730557/25000000000 (/.f64 (pow.f64 x 4) (.f64 (.f64 x x) (+.f64 263505074721/1000000000 (.f64 x (+.f64 x 216700011257/5000000000))))) (/.f64 y (/.f64 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (*.f64 x 156699607947/500000000))))) x)))))
	26.1b	(-.f64 (+.f64 (.f64 1759267849271/25000000000 (/.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x))))))) (+.f64 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x)))))) (+.f64 (.f64 104109730557/25000000000 (/.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x))))))) (/.f64 (.f64 z x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x))))))))) (+.f64 (.f64 2 (/.f64 (.f64 y x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x))))))) (+.f64 (.f64 2 (/.f64 z (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x))))))) (+.f64 (.f64 4297481763/15625000 (/.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (.f64 156699607947/500000000 x))))))) (.f64 49698921037/2500000000 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 156699607947/500000000 x)))))))))))
	32.9b	(*.f64 (+.f64 x -2) (+.f64 (+.f64 (/.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x) x) (/.f64 y (pow.f64 x 3))) (-.f64 104109730557/25000000000 (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))))))

Compiler

Compiled 21712 to 15117 computations (30.4% saved)

regimes5.5s (35.9%)

Accuracy

Total 0.2b remaining (49.1%)

Threshold costs 0.2b (49.1%)

Counts

281 → 2

Compiler

Compiled 74896 to 53676 computations (28.3% saved)

bsearch27.0ms (0.2%)

Compiler: Compiled 40 to 29 computations (27.5% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

23×	`+-commutative_binary64`
16×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`distribute-neg-in_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	270
1	113	270
2	123	270
3	131	270
4	134	270
5	135	270

Stop Event

1×

saturated

end385.0ms (2.5%)

Compiler: Compiled 924 to 674 computations (27.1% saved)

Details

analyze1.3s (8.7%)

sample1.4s (9.4%)

simplify19.0ms (0.1%)

prune5.0ms (0%)

localize18.0ms (0.1%)

series555.0ms (3.6%)

rewrite59.0ms (0.4%)

simplify155.0ms (1%)

prune250.0ms (1.6%)

localize31.0ms (0.2%)

series14.0ms (0.1%)

rewrite57.0ms (0.4%)

simplify41.0ms (0.3%)

prune2.2s (14.1%)

localize33.0ms (0.2%)

series815.0ms (5.3%)

rewrite41.0ms (0.3%)

simplify248.0ms (1.6%)

prune452.0ms (2.9%)

localize26.0ms (0.2%)

series835.0ms (5.4%)

rewrite45.0ms (0.3%)

simplify283.0ms (1.8%)

prune495.0ms (3.2%)

regimes5.5s (35.9%)

bsearch27.0ms (0.2%)

simplify9.0ms (0.1%)

end385.0ms (2.5%)

Profiling