Details

analyze2.9s (12.9%)

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)

sample2.0s (8.9%)

Results

1.7s	8256×	body	128	valid
178.0ms	904×	body	128	invalid

Compiler

Compiled 131 to 92 computations (29.8% saved)

simplify80.0ms (0.4%)

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

26.3b

Counts

3 → 2

Alt Table

Status	Error	Program
	27.1b	(+.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)))
▶	26.4b	(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

27.1b

(+.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)))

▶

26.4b

(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)

localize20.0ms (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)
✓	25.7b	(/.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))

series1.5s (6.8%)

Counts

4 → 156

Calls

4 calls:

1.0s	(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)
465.0ms	(/.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))
7.0ms	(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
2.0ms	(fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000)

rewrite6.0ms (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 313060547623/100000000000 55833770631/5000000000) t)
0.0ms	(fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000)

simplify372.0ms (1.7%)

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

prune328.0ms (1.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	146	10	156
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	148	10	158

Error

0.0b

Counts

158 → 10

Alt Table

Status	Error	Program
	46.6b	(fma.f64 y (*.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x)
	27.2b	(+.f64 (fma.f64 1000000000000/607771387771 (.f64 (.f64 a z) y) x) (.f64 (.f64 b y) (+.f64 1000000000000/607771387771 (*.f64 z -11940090572100000000000000/369386059793087248348441))))
	27.1b	(+.f64 (+.f64 (fma.f64 313060547623/100000000000 (/.f64 (.f64 (pow.f64 z 4) y) (+.f64 607771387771/1000000000000 (+.f64 (.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000))))) x) (.f64 (/.f64 y (+.f64 607771387771/1000000000000 (+.f64 (.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000))))) (fma.f64 a z b))) (fma.f64 55833770631/5000000000 (/.f64 (.f64 (pow.f64 z 3) y) (+.f64 607771387771/1000000000000 (+.f64 (.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000))))) (/.f64 (.f64 (.f64 t (.f64 z z)) y) (+.f64 607771387771/1000000000000 (+.f64 (.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000)))))))
	31.7b	(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)
	26.4b	(fma.f64 y (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x)
	31.5b	(-.f64 (+.f64 (+.f64 (.f64 (/.f64 y (.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z))) (fma.f64 313060547623/100000000000 y x)) (.f64 (/.f64 y z) (-.f64 (/.f64 t z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (.f64 z z))))) (fma.f64 3652704169880641883561/100000000000000000000 (/.f64 y z) (.f64 15234687407/1000000000 (.f64 (/.f64 y (pow.f64 z 3)) t))))
▶	26.4b	(fma.f64 y (+.f64 (/.f64 b (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (.f64 119400905721/10000000000 z)))))) (+.f64 (/.f64 (.f64 t (pow.f64 z 2)) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (.f64 119400905721/10000000000 z)))))) (+.f64 (.f64 55833770631/5000000000 (/.f64 (pow.f64 z 3) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (.f64 119400905721/10000000000 z))))))) (+.f64 (/.f64 (.f64 a z) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (.f64 119400905721/10000000000 z)))))) (.f64 313060547623/100000000000 (/.f64 (pow.f64 z 4) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))))))) x)
	50.5b	(cbrt.f64 (.f64 (.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) (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)) (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)))
	26.4b	(fma.f64 y (/.f64 1 (/.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))) x)
	26.4b	(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 (+.f64 (fma.f64 (*.f64 z z) 15234687407/1000000000 (fma.f64 z 314690115749/10000000000 (pow.f64 z 3))) 119400905721/10000000000) 607771387771/1000000000000)) x)

Compiler

Compiled 8476 to 5483 computations (35.3% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	13.6b	(/.f64 (.f64 a z) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (.f64 119400905721/10000000000 z))))))
✓	17.2b	(/.f64 (.f64 t (pow.f64 z 2)) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (.f64 119400905721/10000000000 z))))))
✓	24.3b	(/.f64 (pow.f64 z 4) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))
✓	24.6b	(/.f64 (pow.f64 z 3) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))

series355.0ms (1.6%)

Counts

4 → 64

Calls

4 calls:

174.0ms	(/.f64 (.f64 t (pow.f64 z 2)) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (.f64 119400905721/10000000000 z))))))
173.0ms	(/.f64 (.f64 a z) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (.f64 119400905721/10000000000 z))))))
4.0ms	(/.f64 (pow.f64 z 3) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))
4.0ms	(/.f64 (pow.f64 z 4) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))

rewrite69.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

104×	`*-un-lft-identity_binary64`
84×	`times-frac_binary64`
54×	`add-sqr-sqrt_binary64`
54×	`add-cube-cbrt_binary64`
30×	`unpow-prod-down_binary64`

Counts

4 → 195

Calls

4 calls:

13.0ms	(/.f64 (.f64 a z) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (.f64 119400905721/10000000000 z))))))
13.0ms	(/.f64 (pow.f64 z 4) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))
12.0ms	(/.f64 (pow.f64 z 3) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))
12.0ms	(/.f64 (.f64 t (pow.f64 z 2)) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (.f64 119400905721/10000000000 z))))))

simplify344.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

449×	`cancel-sign-sub-inv_binary64`
357×	`fma-neg_binary64`
244×	`unswap-sqr_binary64`
239×	`associate-/l*_binary64`
185×	`associate-r_binary64`

Counts

259 → 324

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	367	11369
1	839	10641
2	3233	10593
3	4994	10593
4	5054	10593

prune1.4s (6.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	323	1	324
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	325	9	334

Error

0.0b

Counts

334 → 9

Alt Table

Status	Error	Program
	46.6b	(fma.f64 y (*.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x)
	27.2b	(+.f64 (fma.f64 1000000000000/607771387771 (.f64 (.f64 a z) y) x) (.f64 (.f64 b y) (+.f64 1000000000000/607771387771 (*.f64 z -11940090572100000000000000/369386059793087248348441))))
	27.1b	(+.f64 (+.f64 (fma.f64 313060547623/100000000000 (/.f64 (.f64 (pow.f64 z 4) y) (+.f64 607771387771/1000000000000 (+.f64 (.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000))))) x) (.f64 (/.f64 y (+.f64 607771387771/1000000000000 (+.f64 (.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000))))) (fma.f64 a z b))) (fma.f64 55833770631/5000000000 (/.f64 (.f64 (pow.f64 z 3) y) (+.f64 607771387771/1000000000000 (+.f64 (.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000))))) (/.f64 (.f64 (.f64 t (.f64 z z)) y) (+.f64 607771387771/1000000000000 (+.f64 (.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000)))))))
	31.7b	(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)
	26.4b	(fma.f64 y (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x)
	31.5b	(-.f64 (+.f64 (+.f64 (.f64 (/.f64 y (.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z))) (fma.f64 313060547623/100000000000 y x)) (.f64 (/.f64 y z) (-.f64 (/.f64 t z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (.f64 z z))))) (fma.f64 3652704169880641883561/100000000000000000000 (/.f64 y z) (.f64 15234687407/1000000000 (.f64 (/.f64 y (pow.f64 z 3)) t))))
	26.4b	(fma.f64 y (/.f64 1 (/.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))) x)
▶	25.6b	(fma.f64 y (+.f64 (/.f64 b (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (.f64 119400905721/10000000000 z)))))) (+.f64 (.f64 t (.f64 (/.f64 z (+.f64 607771387771/1000000000000 (fma.f64 (.f64 z z) 314690115749/10000000000 (+.f64 (pow.f64 z 4) (fma.f64 z 119400905721/10000000000 (.f64 (pow.f64 z 3) 15234687407/1000000000)))))) z)) (+.f64 (.f64 55833770631/5000000000 (/.f64 (pow.f64 z 3) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (.f64 119400905721/10000000000 z))))))) (+.f64 (/.f64 (.f64 a z) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (.f64 119400905721/10000000000 z)))))) (.f64 313060547623/100000000000 (/.f64 (pow.f64 z 4) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))))))) x)
	50.5b	(cbrt.f64 (.f64 (.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) (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)) (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 49909 to 38409 computations (23% saved)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	9.0b	(.f64 t (.f64 (/.f64 z (+.f64 607771387771/1000000000000 (fma.f64 (.f64 z z) 314690115749/10000000000 (+.f64 (pow.f64 z 4) (fma.f64 z 119400905721/10000000000 (.f64 (pow.f64 z 3) 15234687407/1000000000)))))) z))
	13.6b	(/.f64 (.f64 a z) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (.f64 119400905721/10000000000 z))))))
	24.3b	(/.f64 (pow.f64 z 4) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))
	24.6b	(/.f64 (pow.f64 z 3) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))

series194.0ms (0.9%)

Counts

1 → 24

Calls

1 calls:

194.0ms

(*.f64 t (*.f64 (/.f64 z (+.f64 607771387771/1000000000000 (fma.f64 (*.f64 z z) 314690115749/10000000000 (+.f64 (pow.f64 z 4) (fma.f64 z 119400905721/10000000000 (*.f64 (pow.f64 z 3) 15234687407/1000000000)))))) z))

rewrite8.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
6×	`pow1_binary64`
5×	`cbrt-unprod_binary64`
5×	`prod-exp_binary64`

Counts

1 → 23

Calls

1 calls:

6.0ms

(*.f64 t (*.f64 (/.f64 z (+.f64 607771387771/1000000000000 (fma.f64 (*.f64 z z) 314690115749/10000000000 (+.f64 (pow.f64 z 4) (fma.f64 z 119400905721/10000000000 (*.f64 (pow.f64 z 3) 15234687407/1000000000)))))) z))

simplify85.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

634×	`associate-l_binary64`
547×	`associate-r_binary64`
360×	`distribute-rgt-in_binary64`
356×	`distribute-lft-in_binary64`
292×	`fma-def_binary64`

Counts

47 → 51

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	1864
1	287	1560
2	966	1446
3	4879	1445
4	5064	1445

prune1.3s (5.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	312	0	312
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	312	9	321

Error

0.0b

Counts

321 → 9

Alt Table

Status	Error	Program
	46.6b	(fma.f64 y (*.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x)
	27.2b	(+.f64 (fma.f64 1000000000000/607771387771 (.f64 (.f64 a z) y) x) (.f64 (.f64 b y) (+.f64 1000000000000/607771387771 (*.f64 z -11940090572100000000000000/369386059793087248348441))))
	27.1b	(+.f64 (+.f64 (fma.f64 313060547623/100000000000 (/.f64 (.f64 (pow.f64 z 4) y) (+.f64 607771387771/1000000000000 (+.f64 (.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000))))) x) (.f64 (/.f64 y (+.f64 607771387771/1000000000000 (+.f64 (.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000))))) (fma.f64 a z b))) (fma.f64 55833770631/5000000000 (/.f64 (.f64 (pow.f64 z 3) y) (+.f64 607771387771/1000000000000 (+.f64 (.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000))))) (/.f64 (.f64 (.f64 t (.f64 z z)) y) (+.f64 607771387771/1000000000000 (+.f64 (.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000)))))))
	31.7b	(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)
▶	26.4b	(fma.f64 y (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x)
	31.5b	(-.f64 (+.f64 (+.f64 (.f64 (/.f64 y (.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z))) (fma.f64 313060547623/100000000000 y x)) (.f64 (/.f64 y z) (-.f64 (/.f64 t z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (.f64 z z))))) (fma.f64 3652704169880641883561/100000000000000000000 (/.f64 y z) (.f64 15234687407/1000000000 (.f64 (/.f64 y (pow.f64 z 3)) t))))
	26.4b	(fma.f64 y (/.f64 1 (/.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))) x)
✓	25.6b	(fma.f64 y (+.f64 (/.f64 b (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (.f64 119400905721/10000000000 z)))))) (+.f64 (.f64 t (.f64 (/.f64 z (+.f64 607771387771/1000000000000 (fma.f64 (.f64 z z) 314690115749/10000000000 (+.f64 (pow.f64 z 4) (fma.f64 z 119400905721/10000000000 (.f64 (pow.f64 z 3) 15234687407/1000000000)))))) z)) (+.f64 (.f64 55833770631/5000000000 (/.f64 (pow.f64 z 3) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (.f64 119400905721/10000000000 z))))))) (+.f64 (/.f64 (.f64 a z) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (.f64 119400905721/10000000000 z)))))) (.f64 313060547623/100000000000 (/.f64 (pow.f64 z 4) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))))))) x)
	50.5b	(cbrt.f64 (.f64 (.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) (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)) (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 47098 to 35221 computations (25.2% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	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) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x)
✓	0.4b	(/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))
✓	25.5b	(*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))

series1.5s (6.7%)

Counts

3 → 132

Calls

3 calls:

1.0s

(fma.f64 y (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x)

459.0ms

(*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))

3.0ms

(/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
20×	`*-un-lft-identity_binary64`
19×	`add-cube-cbrt_binary64`
16×	`add-exp-log_binary64`

Counts

3 → 81

Calls

3 calls:

5.0ms

(*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))

2.0ms

(/.f64 1 (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) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x)

simplify398.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

539×	`cancel-sign-sub-inv_binary64`
360×	`fma-neg_binary64`
300×	`fma-def_binary64`
266×	`distribute-rgt-in_binary64`
248×	`associate-+r+_binary64`

Counts

213 → 192

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	341	19210
1	925	18726
2	3070	16353
3	4885	16348
4	5041	16348

prune385.0ms (1.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	213	9	222

Error

0.0b

Counts

222 → 9

Alt Table

Status	Error	Program
	46.6b	(fma.f64 y (*.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x)
	27.2b	(+.f64 (fma.f64 1000000000000/607771387771 (.f64 (.f64 a z) y) x) (.f64 (.f64 b y) (+.f64 1000000000000/607771387771 (*.f64 z -11940090572100000000000000/369386059793087248348441))))
	27.1b	(+.f64 (+.f64 (fma.f64 313060547623/100000000000 (/.f64 (.f64 (pow.f64 z 4) y) (+.f64 607771387771/1000000000000 (+.f64 (.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000))))) x) (.f64 (/.f64 y (+.f64 607771387771/1000000000000 (+.f64 (.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000))))) (fma.f64 a z b))) (fma.f64 55833770631/5000000000 (/.f64 (.f64 (pow.f64 z 3) y) (+.f64 607771387771/1000000000000 (+.f64 (.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000))))) (/.f64 (.f64 (.f64 t (.f64 z z)) y) (+.f64 607771387771/1000000000000 (+.f64 (.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000)))))))
	31.7b	(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)
✓	26.4b	(fma.f64 y (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x)
	31.5b	(-.f64 (+.f64 (+.f64 (.f64 (/.f64 y (.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z))) (fma.f64 313060547623/100000000000 y x)) (.f64 (/.f64 y z) (-.f64 (/.f64 t z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (.f64 z z))))) (fma.f64 3652704169880641883561/100000000000000000000 (/.f64 y z) (.f64 15234687407/1000000000 (.f64 (/.f64 y (pow.f64 z 3)) t))))
	26.4b	(fma.f64 y (/.f64 1 (/.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))) x)
✓	25.6b	(fma.f64 y (+.f64 (/.f64 b (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (.f64 119400905721/10000000000 z)))))) (+.f64 (.f64 t (.f64 (/.f64 z (+.f64 607771387771/1000000000000 (fma.f64 (.f64 z z) 314690115749/10000000000 (+.f64 (pow.f64 z 4) (fma.f64 z 119400905721/10000000000 (.f64 (pow.f64 z 3) 15234687407/1000000000)))))) z)) (+.f64 (.f64 55833770631/5000000000 (/.f64 (pow.f64 z 3) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (.f64 119400905721/10000000000 z))))))) (+.f64 (/.f64 (.f64 a z) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (.f64 119400905721/10000000000 z)))))) (.f64 313060547623/100000000000 (/.f64 (pow.f64 z 4) (+.f64 607771387771/1000000000000 (+.f64 (.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))))))) x)
	50.5b	(cbrt.f64 (.f64 (.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) (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)) (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 10488 to 6814 computations (35% saved)

regimes8.5s (38.1%)

Accuracy

Total 1.1b remaining (96.6%)

Threshold costs 0b (0%)

Counts

240 → 2

Compiler

Compiled 141800 to 105348 computations (25.7% saved)

bsearch28.0ms (0.1%)

Compiler: Compiled 41 to 29 computations (29.3% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
10×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	156
1	89	156
2	93	156
3	95	156
4	96	156
5	95	156

end423.0ms (1.9%)

Compiler: Compiled 828 to 560 computations (32.4% saved)

Details

analyze2.9s (12.9%)

sample2.0s (8.9%)

simplify80.0ms (0.4%)

prune5.0ms (0%)

localize20.0ms (0.1%)

series1.5s (6.8%)

rewrite6.0ms (0%)

simplify372.0ms (1.7%)

prune328.0ms (1.5%)

localize39.0ms (0.2%)

series355.0ms (1.6%)

rewrite69.0ms (0.3%)

simplify344.0ms (1.5%)

prune1.4s (6.5%)

localize43.0ms (0.2%)

series194.0ms (0.9%)

rewrite8.0ms (0%)

simplify85.0ms (0.4%)

prune1.3s (5.7%)

localize21.0ms (0.1%)

series1.5s (6.7%)

rewrite13.0ms (0.1%)

simplify398.0ms (1.8%)

prune385.0ms (1.7%)

regimes8.5s (38.1%)

bsearch28.0ms (0.1%)

simplify6.0ms (0%)

end423.0ms (1.9%)

Profiling