Details

analyze2.9s (7.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0.8%	98.9%	0.3%	13
1.2%	98.5%	0.3%	14

Compiler

Compiled 44 to 31 computations (29.5% saved)

sample2.1s (5.5%)

Results

1.7s	8256×	body	128	valid
185.0ms	930×	body	128	invalid

Compiler

Compiled 131 to 92 computations (29.8% saved)

simplify82.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

918×	`distribute-rgt-in_binary64`
850×	`distribute-lft-in_binary64`
677×	`associate-/l*_binary64`
676×	`fma-def_binary64`
633×	`associate-+l+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	41
1	63	41
2	131	39
3	274	39
4	720	39
5	1843	39
6	2430	39
7	2851	39
8	3466	39
9	4132	39
10	4596	39
11	5138	39

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

29.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	29.4b	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))
▶	29.1b	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)

Status

Error

Program

29.4b

(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))

▶

29.1b

(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)

Compiler

Compiled 228 to 150 computations (34.2% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000)
✓	0.1b	(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
✓	0.1b	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
✓	28.3b	(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))

series1.7s (4.4%)

Counts

4 → 156

Calls

4 calls:

1.1s	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
532.0ms	(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))
6.0ms	(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
4.0ms	(fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000)

rewrite7.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
12×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
6×	`add-cbrt-cube_binary64`

Counts

4 → 59

Calls

4 calls:

2.0ms	(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))
0.0ms	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
0.0ms	(fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000)
0.0ms	(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)

simplify398.0ms (1%)

Algorithm

1×	egg-herbie

Rules

467×	`cancel-sign-sub-inv_binary64`
316×	`fma-def_binary64`
302×	`fma-neg_binary64`
258×	`associate-+r+_binary64`
231×	`+-commutative_binary64`

Counts

215 → 156

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	18719
1	870	18272
2	2858	15157
3	4757	15157
4	4955	15157

prune275.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	151	5	156
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	151	7	158

Error

0.0b

Counts

158 → 7

Alt Table

Status	Error	Program
	32.6b	(+.f64 (+.f64 (.f64 (.f64 1000000000000/607771387771 y) (+.f64 b (.f64 z (+.f64 a (.f64 t z))))) (fma.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 (.f64 (.f64 z z) (.f64 b y)) x)) (.f64 -11940090572100000000000000/369386059793087248348441 (.f64 y (.f64 z (fma.f64 a z b)))))
	29.6b	(fma.f64 y (-.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (.f64 z z)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (.f64 z z)) (/.f64 a (pow.f64 z 3))))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3))))) x)
	46.5b	(*.f64 (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)) (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)))
	36.3b	(-.f64 (+.f64 (+.f64 (+.f64 x (.f64 (.f64 a y) (+.f64 (.f64 z 1000000000000/607771387771) (.f64 (pow.f64 z 3) 123439798033292669987862100000000000000/224502278183706222041215714334315011)))) (.f64 y (.f64 (.f64 z z) (+.f64 (.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 b) (.f64 11166754126200/607771387771 z))))) (.f64 y (.f64 1000000000000/607771387771 (+.f64 (.f64 t (.f64 z z)) b)))) (fma.f64 11940090572100000000000000/369386059793087248348441 (.f64 y (.f64 z (fma.f64 a z b))) (.f64 y (.f64 (pow.f64 z 3) (+.f64 (.f64 1251144097444193138232650020820236307000000000000000/136446061169462227850157143060939731682147130481 b) (*.f64 11940090572100000000000000/369386059793087248348441 t))))))
▶	29.0b	(+.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (.f64 z z)) x)) (.f64 (/.f64 y z) (-.f64 (/.f64 t z) 3652704169880641883561/100000000000000000000)))
	29.4b	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))
✓	29.1b	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)

Compiler

Compiled 7817 to 5009 computations (35.9% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (*.f64 z z)) x)
✓	2.1b	(*.f64 (/.f64 y z) (-.f64 (/.f64 t z) 3652704169880641883561/100000000000000000000))
✓	5.7b	(+.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (.f64 z z)) x)) (.f64 (/.f64 y z) (-.f64 (/.f64 t z) 3652704169880641883561/100000000000000000000)))
✓	7.9b	(/.f64 y (*.f64 z z))

series231.0ms (0.6%)

Counts

4 → 144

Calls

4 calls:

127.0ms	(+.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (.f64 z z)) x)) (.f64 (/.f64 y z) (-.f64 (/.f64 t z) 3652704169880641883561/100000000000000000000)))
38.0ms	(*.f64 (/.f64 y z) (-.f64 (/.f64 t z) 3652704169880641883561/100000000000000000000))
37.0ms	(fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (*.f64 z z)) x)
29.0ms	(/.f64 y (*.f64 z z))

rewrite69.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

165×	`add-sqr-sqrt_binary64`
157×	`*-un-lft-identity_binary64`
156×	`prod-diff_binary64`
155×	`add-cube-cbrt_binary64`
122×	`times-frac_binary64`

Counts

4 → 263

Calls

4 calls:

14.0ms	(*.f64 (/.f64 y z) (-.f64 (/.f64 t z) 3652704169880641883561/100000000000000000000))
12.0ms	(+.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (.f64 z z)) x)) (.f64 (/.f64 y z) (-.f64 (/.f64 t z) 3652704169880641883561/100000000000000000000)))
3.0ms	(/.f64 y (*.f64 z z))
0.0ms	(fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (*.f64 z z)) x)

simplify281.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

644×	`associate-*l/_binary64`
476×	`associate-/l*_binary64`
414×	`times-frac_binary64`
226×	`associate-/r*_binary64`
205×	`fma-neg_binary64`

Counts

407 → 358

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	444	9529
1	760	8092
2	2365	7231
3	4684	7231
4	4945	7231

prune479.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	357	1	358
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	358	7	365

Error

0.0b

Counts

365 → 7

Alt Table

Status	Error	Program
	32.6b	(+.f64 (+.f64 (.f64 (.f64 1000000000000/607771387771 y) (+.f64 b (.f64 z (+.f64 a (.f64 t z))))) (fma.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 (.f64 (.f64 z z) (.f64 b y)) x)) (.f64 -11940090572100000000000000/369386059793087248348441 (.f64 y (.f64 z (fma.f64 a z b)))))
	29.6b	(fma.f64 y (-.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (.f64 z z)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (.f64 z z)) (/.f64 a (pow.f64 z 3))))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3))))) x)
	46.5b	(*.f64 (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)) (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)))
	36.3b	(-.f64 (+.f64 (+.f64 (+.f64 x (.f64 (.f64 a y) (+.f64 (.f64 z 1000000000000/607771387771) (.f64 (pow.f64 z 3) 123439798033292669987862100000000000000/224502278183706222041215714334315011)))) (.f64 y (.f64 (.f64 z z) (+.f64 (.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 b) (.f64 11166754126200/607771387771 z))))) (.f64 y (.f64 1000000000000/607771387771 (+.f64 (.f64 t (.f64 z z)) b)))) (fma.f64 11940090572100000000000000/369386059793087248348441 (.f64 y (.f64 z (fma.f64 a z b))) (.f64 y (.f64 (pow.f64 z 3) (+.f64 (.f64 1251144097444193138232650020820236307000000000000000/136446061169462227850157143060939731682147130481 b) (*.f64 11940090572100000000000000/369386059793087248348441 t))))))
	29.7b	(fma.f64 (.f64 (cbrt.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (.f64 z z)) x))) (cbrt.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (.f64 z z)) x)))) (cbrt.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (.f64 z z)) x))) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) 3652704169880641883561/100000000000000000000)))
▶	29.4b	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))
✓	29.1b	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)

Compiler

Compiled 14101 to 7415 computations (47.4% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z)
✓	0.3b	(.f64 (+.f64 (.f64 z 313060547623/100000000000) 55833770631/5000000000) z)
✓	3.1b	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b))
✓	28.2b	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000))

series972.0ms (2.6%)

Counts

4 → 144

Calls

4 calls:

814.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000))
152.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b))
3.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z)
3.0ms	(.f64 (+.f64 (.f64 z 313060547623/100000000000) 55833770631/5000000000) z)

rewrite62.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
15×	`add-cbrt-cube_binary64`
15×	`add-exp-log_binary64`
12×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`

Counts

4 → 95

Calls

4 calls:

25.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000))
14.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b))
11.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z)
5.0ms	(.f64 (+.f64 (.f64 z 313060547623/100000000000) 55833770631/5000000000) z)

simplify228.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

685×	`times-frac_binary64`
359×	`associate-r_binary64`
349×	`fma-def_binary64`
341×	`associate-l_binary64`
197×	`*-commutative_binary64`

Counts

239 → 246

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	369	11586
1	1013	11140
2	3950	11134
3	5124	11134

prune398.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	244	2	246
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	247	6	253

Error

0.0b

Counts

253 → 6

Alt Table

Status	Error	Program
	36.3b	(-.f64 (+.f64 (+.f64 (+.f64 x (.f64 (.f64 a y) (+.f64 (.f64 z 1000000000000/607771387771) (.f64 (pow.f64 z 3) 123439798033292669987862100000000000000/224502278183706222041215714334315011)))) (.f64 y (.f64 (.f64 z z) (+.f64 (.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 b) (.f64 11166754126200/607771387771 z))))) (.f64 y (.f64 1000000000000/607771387771 (+.f64 (.f64 t (.f64 z z)) b)))) (fma.f64 11940090572100000000000000/369386059793087248348441 (.f64 y (.f64 z (fma.f64 a z b))) (.f64 y (.f64 (pow.f64 z 3) (+.f64 (.f64 1251144097444193138232650020820236307000000000000000/136446061169462227850157143060939731682147130481 b) (*.f64 11940090572100000000000000/369386059793087248348441 t))))))
	29.6b	(fma.f64 y (-.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (.f64 z z)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (.f64 z z)) (/.f64 a (pow.f64 z 3))))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3))))) x)
	29.7b	(fma.f64 (.f64 (cbrt.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (.f64 z z)) x))) (cbrt.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (.f64 z z)) x)))) (cbrt.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (.f64 z z)) x))) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) 3652704169880641883561/100000000000000000000)))
▶	29.1b	(+.f64 x (/.f64 y (/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b))))
	29.1b	(+.f64 x (/.f64 (.f64 (/.f64 y (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) (sqrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000))))
✓	29.1b	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)

Compiler

Compiled 12079 to 7821 computations (35.3% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 y (/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)))
	0.2b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z)
	0.3b	(.f64 (+.f64 (.f64 z 313060547623/100000000000) 55833770631/5000000000) z)
✓	28.3b	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b))

series3.2s (8.4%)

Counts

2 → 108

Calls

2 calls:

2.4s

(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b))

840.0ms

(/.f64 y (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)))

rewrite65.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64`
54×	`*-un-lft-identity_binary64`
54×	`add-sqr-sqrt_binary64`
54×	`add-cube-cbrt_binary64`
18×	`associate-/r*_binary64`

Counts

2 → 113

Calls

2 calls:

23.0ms

(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b))

21.0ms

(/.f64 y (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)))

simplify443.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-def_binary64`
423×	`associate-*r/_binary64`
312×	`associate-/l*_binary64`
120×	`associate-/r*_binary64`
70×	`associate-/r/_binary64`

Counts

221 → 316

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2400	39584
1	5141	39584

prune1.3s (3.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	409	0	409
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	409	6	415

Error

0.0b

Counts

415 → 6

Alt Table

Status	Error	Program
	36.3b	(-.f64 (+.f64 (+.f64 (+.f64 x (.f64 (.f64 a y) (+.f64 (.f64 z 1000000000000/607771387771) (.f64 (pow.f64 z 3) 123439798033292669987862100000000000000/224502278183706222041215714334315011)))) (.f64 y (.f64 (.f64 z z) (+.f64 (.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 b) (.f64 11166754126200/607771387771 z))))) (.f64 y (.f64 1000000000000/607771387771 (+.f64 (.f64 t (.f64 z z)) b)))) (fma.f64 11940090572100000000000000/369386059793087248348441 (.f64 y (.f64 z (fma.f64 a z b))) (.f64 y (.f64 (pow.f64 z 3) (+.f64 (.f64 1251144097444193138232650020820236307000000000000000/136446061169462227850157143060939731682147130481 b) (*.f64 11940090572100000000000000/369386059793087248348441 t))))))
	29.6b	(fma.f64 y (-.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (.f64 z z)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (.f64 z z)) (/.f64 a (pow.f64 z 3))))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3))))) x)
	29.7b	(fma.f64 (.f64 (cbrt.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (.f64 z z)) x))) (cbrt.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (.f64 z z)) x)))) (cbrt.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (.f64 z z)) x))) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) 3652704169880641883561/100000000000000000000)))
✓	29.1b	(+.f64 x (/.f64 y (/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b))))
	29.1b	(+.f64 x (/.f64 (.f64 (/.f64 y (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) (sqrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000))))
✓	29.1b	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)

Compiler

Compiled 51188 to 33763 computations (34% saved)

regimes22.4s (58.9%)

Accuracy

Total 0.9b remaining (95.2%)

Threshold costs 0.9b (95.2%)

Counts

502 → 3

Compiler

Compiled 161272 to 111820 computations (30.7% saved)

bsearch128.0ms (0.3%)

Steps

Iters	Range		Point
10	961140668.9148936	1.7360056605434902e+21	248629308411962.38
10	-3.2168249462277354e+25	-834048830759674.5	-6.831305817329946e+24

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

17×	`+-commutative_binary64`
11×	`*-commutative_binary64`
3×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	157
1	99	157
2	104	157
3	106	157
4	107	157
5	105	157

end231.0ms (0.6%)

Compiler: Compiled 527 to 344 computations (34.7% saved)

Details

analyze2.9s (7.7%)

sample2.1s (5.5%)

simplify82.0ms (0.2%)

prune5.0ms (0%)

localize28.0ms (0.1%)

series1.7s (4.4%)

rewrite7.0ms (0%)

simplify398.0ms (1%)

prune275.0ms (0.7%)

localize14.0ms (0%)

series231.0ms (0.6%)

rewrite69.0ms (0.2%)

simplify281.0ms (0.7%)

prune479.0ms (1.3%)

localize28.0ms (0.1%)

series972.0ms (2.6%)

rewrite62.0ms (0.2%)

simplify228.0ms (0.6%)

prune398.0ms (1%)

localize27.0ms (0.1%)

series3.2s (8.4%)

rewrite65.0ms (0.2%)

simplify443.0ms (1.2%)

prune1.3s (3.4%)

regimes22.4s (58.9%)

bsearch128.0ms (0.3%)

simplify6.0ms (0%)

end231.0ms (0.6%)

Profiling