Details

analyze2.7s (13.9%)

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)

sample2.9s (15.1%)

Results

2.8s	8256×	body	128	valid
3.0ms	10×	body	128	invalid

Compiler

Compiled 122 to 89 computations (27% saved)

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	41
1	64	41
2	154	41
3	357	41
4	1157	41
5	4876	41
6	4976	41
7	4992	41

prune8.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

27.7b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	27.7b	(/.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

▶

27.7b

(/.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 150 to 106 computations (29.3% saved)

localize96.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x)
✓	0.4b	(.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x)
✓	0.6b	(*.f64 x 104109730557/25000000000)
✓	26.8b	(/.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))

series832.0ms (4.3%)

Counts

4 → 72

Calls

4 calls:

818.0ms	(/.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))
5.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x)
5.0ms	(.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x)
3.0ms	(*.f64 x 104109730557/25000000000)

rewrite93.0ms (0.5%)

Algorithm

2×	batch-egg-rewrite

Rules

346×	`log1p-expm1-u_binary64`
346×	`expm1-log1p-u_binary64`
336×	`add-log-exp_binary64`
335×	`add-cbrt-cube_binary64`
335×	`add-exp-log_binary64`

Counts

4 → 53

Calls

4 calls:

89.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x)
89.0ms	(.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x)
89.0ms	(*.f64 x 104109730557/25000000000)
89.0ms	(/.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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	68
1	718	68
2	5145	68
0	0	0
1	0	0

simplify281.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

772×	`fma-def_binary64`
717×	`sub-neg_binary64`
365×	`associate-+l+_binary64`
347×	`associate--r+_binary64`
249×	`associate--l+_binary64`

Counts

125 → 100

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	143	6010
1	407	5996
2	1249	5326
3	4702	5236
4	5370	5236

prune369.0ms (1.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	91	9	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	9	101

Error

0.4b

Counts

101 → 9

Alt Table

Status	Error	Program
	27.7b	(pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) -1)
▶	27.2b	(+.f64 (fma.f64 1759267849271/25000000000 (/.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))) (fma.f64 104109730557/25000000000 (/.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))) (/.f64 (.f64 z x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))))) (-.f64 (.f64 (/.f64 (.f64 x y) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))) (-.f64 x 2)) (fma.f64 2 (/.f64 z (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))) (fma.f64 4297481763/15625000 (/.f64 (.f64 x x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))) (.f64 49698921037/2500000000 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))))))))
	34.7b	(-.f64 (fma.f64 z (.f64 (pow.f64 x 3) 3140446455626174059100348970313144550000000/306719603372886620352117082586607327396481) (fma.f64 168466327098500000000/553822718361107519809 (.f64 x (fma.f64 x y z)) (.f64 (pow.f64 x 3) 106576606695487271009549/2769113591805537599045))) (+.f64 (fma.f64 z 1000000000/23533438303 (.f64 (.f64 x x) (+.f64 137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))) (.f64 y (+.f64 (.f64 1000000000/23533438303 x) (*.f64 23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 3))))))
	27.7b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (fma.f64 (pow.f64 x 3) 104109730557/25000000000 (.f64 x (+.f64 4297481763/31250000 (.f64 393497462077/5000000000 x)))) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
	27.7b	(-.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)))))))))))
	31.8b	(-.f64 (+.f64 (fma.f64 x 104109730557/25000000000 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (/.f64 y (.f64 x x))) (+.f64 13764240537310136880149/125000000000000000000 (/.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (.f64 x x))))
	28.2b	(.f64 (pow.f64 (cbrt.f64 (/.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))) 2) (cbrt.f64 (/.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))))
	27.7b	(/.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 216700011257/5000000000 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (.f64 263505074721/1000000000 x))) 156699607947/500000000) x) 23533438303/500000000))
	27.7b	(.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)) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))

Compiler

Compiled 5291 to 3814 computations (27.9% saved)

localize76.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	25.0b	(/.f64 (.f64 x x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x))))))))
✓	25.0b	(/.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))))
✓	25.4b	(/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))))
✓	26.3b	(/.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))))

series25.0ms (0.1%)

Counts

4 → 48

Calls

4 calls:

7.0ms	(/.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))))
7.0ms	(/.f64 (.f64 x x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x))))))))
6.0ms	(/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))))
6.0ms	(/.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))))

rewrite135.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

260×	`add-sqr-sqrt_binary64`
258×	`log1p-expm1-u_binary64`
258×	`expm1-log1p-u_binary64`
250×	`add-log-exp_binary64`
249×	`add-cbrt-cube_binary64`

Counts

4 → 72

Calls

4 calls:

131.0ms	(/.f64 (.f64 x x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x))))))))
131.0ms	(/.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))))
131.0ms	(/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))))
131.0ms	(/.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (*.f64 216700011257/5000000000 x))))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	128
1	556	120
2	4916	120
0	0	0
1	0	0

simplify116.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-neg_binary64`
747×	`times-frac_binary64`
365×	`fma-def_binary64`
305×	`sub-neg_binary64`
235×	`associate-/r*_binary64`

Counts

120 → 129

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	774
1	299	758
2	820	748
3	2346	744
4	4669	744
5	5387	744

prune1.1s (5.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	129	9	138

Error

0.4b

Counts

138 → 9

Alt Table

Status	Error	Program
	27.7b	(pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) -1)
✓	27.2b	(+.f64 (fma.f64 1759267849271/25000000000 (/.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))) (fma.f64 104109730557/25000000000 (/.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))) (/.f64 (.f64 z x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))))) (-.f64 (.f64 (/.f64 (.f64 x y) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))) (-.f64 x 2)) (fma.f64 2 (/.f64 z (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))) (fma.f64 4297481763/15625000 (/.f64 (.f64 x x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))) (.f64 49698921037/2500000000 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))))))))
	34.7b	(-.f64 (fma.f64 z (.f64 (pow.f64 x 3) 3140446455626174059100348970313144550000000/306719603372886620352117082586607327396481) (fma.f64 168466327098500000000/553822718361107519809 (.f64 x (fma.f64 x y z)) (.f64 (pow.f64 x 3) 106576606695487271009549/2769113591805537599045))) (+.f64 (fma.f64 z 1000000000/23533438303 (.f64 (.f64 x x) (+.f64 137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))) (.f64 y (+.f64 (.f64 1000000000/23533438303 x) (*.f64 23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 3))))))
▶	27.7b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (fma.f64 (pow.f64 x 3) 104109730557/25000000000 (.f64 x (+.f64 4297481763/31250000 (.f64 393497462077/5000000000 x)))) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
	27.7b	(-.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)))))))))))
	31.8b	(-.f64 (+.f64 (fma.f64 x 104109730557/25000000000 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (/.f64 y (.f64 x x))) (+.f64 13764240537310136880149/125000000000000000000 (/.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (.f64 x x))))
	28.2b	(.f64 (pow.f64 (cbrt.f64 (/.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))) 2) (cbrt.f64 (/.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))))
	27.7b	(/.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 216700011257/5000000000 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (.f64 263505074721/1000000000 x))) 156699607947/500000000) x) 23533438303/500000000))
	27.7b	(.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)) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))

Compiler

Compiled 22687 to 16218 computations (28.5% saved)

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 x (+.f64 4297481763/31250000 (.f64 393497462077/5000000000 x)))
	0.4b	(.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x)
✓	10.1b	(fma.f64 (pow.f64 x 3) 104109730557/25000000000 (.f64 x (+.f64 4297481763/31250000 (.f64 393497462077/5000000000 x))))
✓	26.8b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (fma.f64 (pow.f64 x 3) 104109730557/25000000000 (.f64 x (+.f64 4297481763/31250000 (.f64 393497462077/5000000000 x)))) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))

series917.0ms (4.8%)

Counts

3 → 60

Calls

3 calls:

906.0ms

(/.f64 (*.f64 (-.f64 x 2) (+.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 x 3) 104109730557/25000000000 (*.f64 x (+.f64 4297481763/31250000 (*.f64 393497462077/5000000000 x)))) y) x) z)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))

6.0ms

(fma.f64 (pow.f64 x 3) 104109730557/25000000000 (*.f64 x (+.f64 4297481763/31250000 (*.f64 393497462077/5000000000 x))))

5.0ms

(*.f64 x (+.f64 4297481763/31250000 (*.f64 393497462077/5000000000 x)))

rewrite120.0ms (0.6%)

Algorithm

2×	batch-egg-rewrite

Rules

351×	`log1p-expm1-u_binary64`
351×	`expm1-log1p-u_binary64`
342×	`add-log-exp_binary64`
341×	`add-cbrt-cube_binary64`
341×	`add-exp-log_binary64`

Counts

3 → 49

Calls

3 calls:

118.0ms

(*.f64 x (+.f64 4297481763/31250000 (*.f64 393497462077/5000000000 x)))

118.0ms

(fma.f64 (pow.f64 x 3) 104109730557/25000000000 (*.f64 x (+.f64 4297481763/31250000 (*.f64 393497462077/5000000000 x))))

118.0ms

(/.f64 (*.f64 (-.f64 x 2) (+.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 x 3) 104109730557/25000000000 (*.f64 x (+.f64 4297481763/31250000 (*.f64 393497462077/5000000000 x)))) y) x) z)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	75
1	734	69
2	5180	69
0	0	0
1	0	0

simplify323.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

738×	`fma-def_binary64`
703×	`sub-neg_binary64`
363×	`associate-+l+_binary64`
347×	`associate--r+_binary64`
249×	`associate--l+_binary64`

Counts

109 → 88

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	135	5944
1	389	5932
2	1211	5260
3	4800	5170
4	5448	5170

prune343.0ms (1.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	111	8	119

Error

0.4b

Counts

119 → 8

Alt Table

Status	Error	Program
	27.7b	(pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) -1)
✓	27.2b	(+.f64 (fma.f64 1759267849271/25000000000 (/.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))) (fma.f64 104109730557/25000000000 (/.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))) (/.f64 (.f64 z x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))))) (-.f64 (.f64 (/.f64 (.f64 x y) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))) (-.f64 x 2)) (fma.f64 2 (/.f64 z (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))) (fma.f64 4297481763/15625000 (/.f64 (.f64 x x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))) (.f64 49698921037/2500000000 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))))))))
	34.7b	(-.f64 (fma.f64 z (.f64 (pow.f64 x 3) 3140446455626174059100348970313144550000000/306719603372886620352117082586607327396481) (fma.f64 168466327098500000000/553822718361107519809 (.f64 x (fma.f64 x y z)) (.f64 (pow.f64 x 3) 106576606695487271009549/2769113591805537599045))) (+.f64 (fma.f64 z 1000000000/23533438303 (.f64 (.f64 x x) (+.f64 137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))) (.f64 y (+.f64 (.f64 1000000000/23533438303 x) (*.f64 23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 3))))))
	27.7b	(.f64 (.f64 (-.f64 x 2) (fma.f64 x (+.f64 (fma.f64 (pow.f64 x 3) 104109730557/25000000000 (*.f64 x (fma.f64 x 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)))
	27.7b	(-.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)))))))))))
	31.8b	(-.f64 (+.f64 (fma.f64 x 104109730557/25000000000 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (/.f64 y (.f64 x x))) (+.f64 13764240537310136880149/125000000000000000000 (/.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (.f64 x x))))
	28.2b	(.f64 (pow.f64 (cbrt.f64 (/.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))) 2) (cbrt.f64 (/.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))))
▶	27.7b	(/.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 216700011257/5000000000 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (.f64 263505074721/1000000000 x))) 156699607947/500000000) x) 23533438303/500000000))

Compiler

Compiled 5558 to 4019 computations (27.7% saved)

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(*.f64 x 104109730557/25000000000)
✓	0.7b	(*.f64 263505074721/1000000000 x)
✓	10.0b	(+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (.f64 263505074721/1000000000 x)))
✓	26.8b	(/.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 216700011257/5000000000 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (.f64 263505074721/1000000000 x))) 156699607947/500000000) x) 23533438303/500000000))

series816.0ms (4.2%)

Counts

3 → 46

Calls

3 calls:

804.0ms

(/.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 216700011257/5000000000 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (*.f64 263505074721/1000000000 x))) 156699607947/500000000) x) 23533438303/500000000))

9.0ms

(+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (*.f64 263505074721/1000000000 x)))

3.0ms

(*.f64 263505074721/1000000000 x)

rewrite99.0ms (0.5%)

Algorithm

2×	batch-egg-rewrite

Rules

376×	`log1p-expm1-u_binary64`
376×	`expm1-log1p-u_binary64`
361×	`add-log-exp_binary64`
360×	`add-exp-log_binary64`
334×	`pow1_binary64`

Counts

3 → 54

Calls

3 calls:

96.0ms

(*.f64 263505074721/1000000000 x)

96.0ms

(+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (*.f64 263505074721/1000000000 x)))

96.0ms

(/.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 216700011257/5000000000 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (*.f64 263505074721/1000000000 x))) 156699607947/500000000) x) 23533438303/500000000))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	70
1	787	66
2	4997	66
3	4781	66
0	0	0
1	0	0

simplify269.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

728×	`fma-def_binary64`
703×	`sub-neg_binary64`
363×	`associate-+l+_binary64`
347×	`associate--r+_binary64`
249×	`associate--l+_binary64`

Counts

100 → 89

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	5767
1	385	5753
2	1211	5094
3	4787	5004
4	5435	5004

prune308.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	102	7	109

Error

0.4b

Counts

109 → 7

Alt Table

Status	Error	Program
	34.7b	(-.f64 (fma.f64 z (.f64 (pow.f64 x 3) 3140446455626174059100348970313144550000000/306719603372886620352117082586607327396481) (fma.f64 168466327098500000000/553822718361107519809 (.f64 x (fma.f64 x y z)) (.f64 (pow.f64 x 3) 106576606695487271009549/2769113591805537599045))) (+.f64 (fma.f64 z 1000000000/23533438303 (.f64 (.f64 x x) (+.f64 137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))) (.f64 y (+.f64 (.f64 1000000000/23533438303 x) (*.f64 23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 3))))))
	27.7b	(pow.f64 (/.f64 (fma.f64 x (+.f64 (fma.f64 216700011257/5000000000 (.f64 x x) (fma.f64 x 263505074721/1000000000 (pow.f64 x 3))) 156699607947/500000000) 23533438303/500000000) (.f64 (-.f64 x 2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) -1)
	27.7b	(.f64 (.f64 (-.f64 x 2) (fma.f64 x (+.f64 (fma.f64 (pow.f64 x 3) 104109730557/25000000000 (*.f64 x (fma.f64 x 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)))
✓	27.2b	(+.f64 (fma.f64 1759267849271/25000000000 (/.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))) (fma.f64 104109730557/25000000000 (/.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))) (/.f64 (.f64 z x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))))) (-.f64 (.f64 (/.f64 (.f64 x y) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))) (-.f64 x 2)) (fma.f64 2 (/.f64 z (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))) (fma.f64 4297481763/15625000 (/.f64 (.f64 x x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))) (.f64 49698921037/2500000000 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (+.f64 263505074721/1000000000 (.f64 216700011257/5000000000 x)))))))))))))
	27.7b	(-.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)))))))))))
	31.8b	(-.f64 (+.f64 (fma.f64 x 104109730557/25000000000 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (/.f64 y (.f64 x x))) (+.f64 13764240537310136880149/125000000000000000000 (/.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (.f64 x x))))
	28.2b	(.f64 (pow.f64 (cbrt.f64 (/.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))) 2) (cbrt.f64 (/.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))))

Compiler

Compiled 4969 to 3549 computations (28.6% saved)

regimes6.7s (34.6%)

Accuracy

Total 1.4b remaining (71%)

Threshold costs 0b (0%)

Counts

228 → 2

Compiler

Compiled 61768 to 45436 computations (26.4% saved)

bsearch22.0ms (0.1%)

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64`
18×	`*-commutative_binary64`
6×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	335
1	114	335
2	128	335
3	138	335
4	142	335
5	143	335
6	140	335

end512.0ms (2.7%)

Compiler: Compiled 1071 to 783 computations (26.9% saved)

Details

analyze2.7s (13.9%)

sample2.9s (15.1%)

simplify58.0ms (0.3%)

prune8.0ms (0%)

localize96.0ms (0.5%)

series832.0ms (4.3%)

rewrite93.0ms (0.5%)

simplify281.0ms (1.5%)

prune369.0ms (1.9%)

localize76.0ms (0.4%)

series25.0ms (0.1%)

rewrite135.0ms (0.7%)

simplify116.0ms (0.6%)

prune1.1s (5.5%)

localize45.0ms (0.2%)

series917.0ms (4.8%)

rewrite120.0ms (0.6%)

simplify323.0ms (1.7%)

prune343.0ms (1.8%)

localize49.0ms (0.3%)

series816.0ms (4.2%)

rewrite99.0ms (0.5%)

simplify269.0ms (1.4%)

prune308.0ms (1.6%)

regimes6.7s (34.6%)

bsearch22.0ms (0.1%)

simplify15.0ms (0.1%)

end512.0ms (2.7%)

Profiling