Details

analyze1.4s (11.1%)

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)

sample1.8s (14.3%)

Results

1.7s	8256×	body	128	valid
2.0ms	10×	body	128	invalid

Compiler

Compiled 122 to 89 computations (27% saved)

simplify52.0ms (0.4%)

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

prune5.0ms (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

27.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	27.9b	(/.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

▶

27.9b

(/.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)

localize21.0ms (0.2%)

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)
✓	27.0b	(/.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))

series339.0ms (2.7%)

Counts

4 → 72

Calls

4 calls:

332.0ms	(/.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))
3.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x)
3.0ms	(.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x)
1.0ms	(*.f64 x 104109730557/25000000000)

rewrite52.0ms (0.4%)

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 → 57

Calls

4 calls:

50.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x)
50.0ms	(.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x)
50.0ms	(*.f64 x 104109730557/25000000000)
50.0ms	(/.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

simplify152.0ms (1.2%)

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

129 → 103

Iterations

Useful iterations: 3 (0.0ms)

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

prune183.0ms (1.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	92	11	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	11	104

Error

0.3b

Counts

104 → 11

Alt Table

Status	Error	Program
	30.1b	(/.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 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000)) 3)) 156699607947/500000000) x) 23533438303/500000000))
	28.0b	(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)
▶	27.4b	(+.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)))))))))))))
	28.0b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000))) 3) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
	43.3b	(.f64 (/.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)))))))) (-.f64 x 2))
	46.9b	(/.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 (pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))) 2) 156699607947/500000000) x) 23533438303/500000000))
	39.0b	(/.f64 (.f64 (+.f64 (.f64 104109730557/25000000000 (pow.f64 x 4)) (+.f64 z (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) (.f64 393497462077/5000000000 (pow.f64 x 3))))) (-.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))))))
	32.5b	(-.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))))
	27.9b	(/.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))
	34.4b	(-.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))))))
	28.0b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 x 104109730557/25000000000)) 3) 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 5146 to 3690 computations (28.3% saved)

localize133.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	23.3b	(/.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))))))))
✓	23.3b	(/.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))))))))
✓	23.6b	(/.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))))))))
✓	25.5b	(/.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))))))))

series12.0ms (0.1%)

Counts

4 → 48

Calls

4 calls:

3.0ms	(/.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))))))))
3.0ms	(/.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))))))))
3.0ms	(/.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))))))))
3.0ms	(/.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))))))))

rewrite117.0ms (0.9%)

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 → 76

Calls

4 calls:

115.0ms	(/.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))))))))
115.0ms	(/.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))))))))
115.0ms	(/.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))))))))
115.0ms	(/.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

simplify75.0ms (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

124 → 133

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

prune563.0ms (4.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	130	3	133
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	133	11	144

Error

0.3b

Counts

144 → 11

Alt Table

Status	Error	Program
	30.1b	(/.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 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000)) 3)) 156699607947/500000000) x) 23533438303/500000000))
	28.0b	(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)
▶	27.4b	(+.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 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (fma.f64 x 216700011257/5000000000 263505074721/1000000000)))))))) (/.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)))))))))))))
	27.4b	(+.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 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (fma.f64 x 216700011257/5000000000 263505074721/1000000000))))))) 3)) (/.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)))))))))))))
	46.9b	(/.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 (pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))) 2) 156699607947/500000000) x) 23533438303/500000000))
	32.5b	(-.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))))
	27.9b	(/.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))
	28.5b	(+.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 (log.f64 (exp.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (fma.f64 x 216700011257/5000000000 263505074721/1000000000))))))))) (.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)))))))))))))
	34.4b	(-.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))))))
	43.3b	(.f64 (/.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)))))))) (-.f64 x 2))
	28.0b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 x 104109730557/25000000000)) 3) 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 23794 to 16993 computations (28.6% saved)

localize55.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	23.3b	(/.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))))))))
	23.3b	(/.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))))))))
	23.6b	(/.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))))))))
✓	25.5b	(.f64 (pow.f64 x 5) (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (*.f64 x (fma.f64 x 216700011257/5000000000 263505074721/1000000000))))))))

series3.0ms (0%)

Counts

1 → 12

Calls

1 calls:

3.0ms

(*.f64 (pow.f64 x 5) (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 x (*.f64 x (fma.f64 x 216700011257/5000000000 263505074721/1000000000))))))))

rewrite75.0ms (0.6%)

Algorithm

2×	batch-egg-rewrite

Rules

743×	`prod-diff_binary64`
197×	`add-sqr-sqrt_binary64`
194×	`log1p-expm1-u_binary64`
194×	`expm1-log1p-u_binary64`
188×	`add-log-exp_binary64`

Counts

1 → 26

Calls

1 calls:

73.0ms

(*.f64 (pow.f64 x 5) (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (*.f64 x (*.f64 x (fma.f64 x 216700011257/5000000000 263505074721/1000000000))))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	30
1	423	29
2	4793	29
3	6152	29
0	0	0
1	0	0

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

961×	`fma-neg_binary64`
730×	`cancel-sign-sub-inv_binary64`
339×	`distribute-rgt-neg-in_binary64`
300×	`distribute-lft-neg-in_binary64`
292×	`times-frac_binary64`

Counts

38 → 39

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	144
1	103	140
2	243	138
3	588	138
4	1853	138
5	3989	138
6	4806	138
7	5056	138

prune867.0ms (7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	139	12	151

Error

0.2b

Counts

151 → 12

Alt Table

Status	Error	Program
	30.1b	(/.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 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000)) 3)) 156699607947/500000000) x) 23533438303/500000000))
	28.0b	(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)
✓	27.4b	(+.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 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (fma.f64 x 216700011257/5000000000 263505074721/1000000000)))))))) (/.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)))))))))))))
▶	27.4b	(+.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 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 x 216700011257/5000000000 263505074721/1000000000))))))) 3)) (/.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)))))))))))))
	46.9b	(/.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 (pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))) 2) 156699607947/500000000) x) 23533438303/500000000))
	32.5b	(-.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))))
	27.9b	(/.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))
	45.6b	(+.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 5/2) (/.f64 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 x 216700011257/5000000000 263505074721/1000000000)))))) (pow.f64 x 5/2))) (/.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)))))))))))))
	28.5b	(+.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 (log.f64 (exp.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (fma.f64 x 216700011257/5000000000 263505074721/1000000000))))))))) (.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)))))))))))))
	34.4b	(-.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))))))
	43.3b	(.f64 (/.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)))))))) (-.f64 x 2))
	28.0b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 x 104109730557/25000000000)) 3) 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 25233 to 18073 computations (28.4% saved)

localize55.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	23.3b	(/.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))))))))
	23.6b	(/.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))))))))
✓	23.9b	(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 x 216700011257/5000000000 263505074721/1000000000))))))) 3))
✓	25.5b	(/.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 x 216700011257/5000000000 263505074721/1000000000)))))))

series10.0ms (0.1%)

Counts

2 → 24

Calls

2 calls:

7.0ms

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

3.0ms

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

rewrite81.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

254×	`prod-diff_binary64`
213×	`log1p-expm1-u_binary64`
213×	`expm1-log1p-u_binary64`
208×	`add-sqr-sqrt_binary64`
202×	`add-log-exp_binary64`

Counts

2 → 70

Calls

2 calls:

76.0ms

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

76.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	58
1	449	50
2	4743	50
3	5036	50
0	0	0
1	0	0

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

402×	`fma-def_binary64`
388×	`distribute-rgt-neg-in_binary64`
345×	`distribute-lft-neg-in_binary64`
313×	`neg-mul-1_binary64`
288×	`neg-sub0_binary64`

Counts

94 → 59

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	334
1	148	317
2	355	306
3	848	298
4	2567	298
5	4549	298
6	5015	298

prune817.0ms (6.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	10	10
Picked	1	0	1
Done	0	1	1
Total	125	12	137

Error

0.2b

Counts

137 → 12

Alt Table

Status	Error	Program
	30.1b	(/.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 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000)) 3)) 156699607947/500000000) x) 23533438303/500000000))
	28.0b	(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)
✓	27.4b	(+.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 1 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (fma.f64 x 216700011257/5000000000 263505074721/1000000000)))))))) (/.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)))))))))))))
	46.9b	(/.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 (pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))) 2) 156699607947/500000000) x) 23533438303/500000000))
	32.5b	(-.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))))
	27.9b	(/.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))
	45.6b	(+.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 5/2) (/.f64 (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 x 216700011257/5000000000 263505074721/1000000000)))))) (pow.f64 x 5/2))) (/.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)))))))))))))
	28.5b	(+.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 (log.f64 (exp.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 x 4) (+.f64 23533438303/500000000 (fma.f64 x 156699607947/500000000 (.f64 x (.f64 x (fma.f64 x 216700011257/5000000000 263505074721/1000000000))))))))) (.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)))))))))))))
	34.4b	(-.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))))))
	43.3b	(.f64 (/.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)))))))) (-.f64 x 2))
	28.0b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 x 104109730557/25000000000)) 3) 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))
	27.9b	(+.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 (cbrt.f64 (pow.f64 x 3)) (/.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)))))))))))))

Compiler

Compiled 22064 to 15870 computations (28.1% saved)

regimes4.7s (38.1%)

Accuracy

Total 1.0b remaining (77.1%)

Threshold costs 1.0b (77.1%)

Counts

193 → 3

Compiler

Compiled 88864 to 65532 computations (26.3% saved)

bsearch93.0ms (0.8%)

Steps

Iters	Range		Point
7	1.2678220333899707e+42	5.710094344039135e+43	5.5020825087968233e+42
10	-5.672719153913325e+40	-1.2798579726858947e+31	-6.530572695569033e+33

Compiler

Compiled 4 to 3 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
10×	`*-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	51	131
1	74	131
2	85	131
3	93	131
4	96	131
5	97	131
6	94	131

end614.0ms (5%)

Compiler: Compiled 1158 to 833 computations (28.1% saved)

Details

analyze1.4s (11.1%)

sample1.8s (14.3%)

simplify52.0ms (0.4%)

prune5.0ms (0%)

localize21.0ms (0.2%)

series339.0ms (2.7%)

rewrite52.0ms (0.4%)

simplify152.0ms (1.2%)

prune183.0ms (1.5%)

localize133.0ms (1.1%)

series12.0ms (0.1%)

rewrite117.0ms (0.9%)

simplify75.0ms (0.6%)

prune563.0ms (4.5%)

localize55.0ms (0.4%)

series3.0ms (0%)

rewrite75.0ms (0.6%)

simplify77.0ms (0.6%)

prune867.0ms (7%)

localize55.0ms (0.4%)

series10.0ms (0.1%)

rewrite81.0ms (0.7%)

simplify69.0ms (0.6%)

prune817.0ms (6.6%)

regimes4.7s (38.1%)

bsearch93.0ms (0.8%)

simplify6.0ms (0.1%)

end614.0ms (5%)

Profiling