Details

analyze695.0ms (8%)

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
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
12.5%	87.4%	0.1%	7
15.6%	84.3%	0.1%	8
18.7%	71.8%	9.5%	9
23.4%	56%	20.6%	10
26.3%	52.2%	21.5%	11
31%	40.1%	28.9%	12
35.6%	28.9%	35.5%	13
36.8%	27.5%	35.7%	14

Compiler

Compiled 18 to 12 computations (33.3% saved)

sample1.6s (18.7%)

Symmetry

(sort x y z)

Results

1.2s	8256×	body	128	valid
326.0ms	2374×	body	128	invalid

Compiler

Compiled 53 to 35 computations (34% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

25×	`fma-def_binary64`
8×	`+-commutative_binary64`
8×	`*-commutative_binary64`
5×	`distribute-rgt-out_binary64`
3×	`associate-+r+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	23	16
2	43	16
3	59	16
4	61	16
5	62	16
6	62	16

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

20.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	20.3b	(.f64 2 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))

Compiler

Compiled 56 to 34 computations (39.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(fma.f64 x (+.f64 y z) (*.f64 y z))
✓	19.2b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series520.0ms (6%)

Counts

2 → 48

Calls

2 calls:

480.0ms	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
40.0ms	(fma.f64 x (+.f64 y z) (*.f64 y z))

rewrite3.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-sqr-sqrt_binary64`
3×	`*-un-lft-identity_binary64`
3×	`sqrt-prod_binary64`
3×	`add-cube-cbrt_binary64`
3×	`pow1_binary64`

Counts

2 → 25

Calls

2 calls:

1.0ms	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
0.0ms	(fma.f64 x (+.f64 y z) (*.f64 y z))

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

631×	`associate-l_binary64`
605×	`cancel-sign-sub-inv_binary64`
565×	`associate-r_binary64`
297×	`fma-neg_binary64`
197×	`fma-def_binary64`

Counts

73 → 70

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	1615
1	531	1523
2	1873	1478
3	4933	1478
4	5115	1478

prune80.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	60	10	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	10	71

Error

19.7b

Counts

71 → 10

Alt Table

Status	Error	Program
	20.8b	(.f64 2 (.f64 (fabs.f64 (cbrt.f64 (fma.f64 y x (.f64 z (+.f64 y x))))) (sqrt.f64 (cbrt.f64 (fma.f64 y x (.f64 z (+.f64 y x)))))))
▶	20.6b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))
	34.0b	(.f64 2 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 y x (.f64 z (+.f64 y x)))) 3)))
	45.9b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
	40.5b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
	42.1b	(.f64 2 (sqrt.f64 (.f64 y x)))
	63.3b	(.f64 2 (+.f64 (sqrt.f64 (.f64 z x)) (.f64 y (.f64 1/2 (+.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z)))))))
	45.1b	(.f64 2 (+.f64 (sqrt.f64 (.f64 y z)) (.f64 (.f64 x 1/2) (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 z y))))))
	41.9b	(.f64 2 (sqrt.f64 (.f64 (+.f64 y z) x)))
	41.0b	(.f64 2 (sqrt.f64 (.f64 y z)))

Compiler

Compiled 2272 to 1137 computations (50% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))
	0.5b	(fma.f64 x (+.f64 y z) (*.f64 y z))
✓	0.5b	(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))))
	19.2b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series321.0ms (3.7%)

Counts

2 → 48

Calls

2 calls:

244.0ms	(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))))
76.0ms	(sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))

rewrite34.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`sqrt-prod_binary64`
64×	`add-sqr-sqrt_binary64`
36×	`sqrt-pow1_binary64`
27×	`pow1_binary64`
18×	`rem-sqrt-square_binary64`

Counts

2 → 106

Calls

2 calls:

9.0ms	(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))))
1.0ms	(sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))

simplify117.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

472×	`associate-l_binary64`
445×	`fma-def_binary64`
385×	`times-frac_binary64`
317×	`associate-/r*_binary64`
244×	`associate-/l*_binary64`

Counts

154 → 185

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	573	6013
1	1686	5614
2	5360	5614

prune618.0ms (7.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	410	3	413
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	411	12	423

Error

19.7b

Counts

423 → 12

Alt Table

Status	Error	Program
	20.8b	(.f64 2 (.f64 (fabs.f64 (cbrt.f64 (fma.f64 y x (.f64 z (+.f64 y x))))) (sqrt.f64 (cbrt.f64 (fma.f64 y x (.f64 z (+.f64 y x)))))))
▶	20.7b	(.f64 2 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (fabs.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))) (sqrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))))
	34.0b	(.f64 2 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 y x (.f64 z (+.f64 y x)))) 3)))
	20.8b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (cbrt.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))))
	40.5b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
	44.6b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (+.f64 y z))) (log.f64 (/.f64 -1 x)))))))
	45.9b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
	42.1b	(.f64 2 (sqrt.f64 (.f64 y x)))
	63.3b	(.f64 2 (+.f64 (sqrt.f64 (.f64 z x)) (.f64 y (.f64 1/2 (+.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z)))))))
	45.1b	(.f64 2 (+.f64 (sqrt.f64 (.f64 y z)) (.f64 (.f64 x 1/2) (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 z y))))))
	41.9b	(.f64 2 (sqrt.f64 (.f64 (+.f64 y z) x)))
	41.0b	(.f64 2 (sqrt.f64 (.f64 y z)))

Compiler

Compiled 20483 to 8664 computations (57.7% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (fabs.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))))
	0.5b	(fma.f64 x (+.f64 y z) (*.f64 y z))
	19.2b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
✓	19.7b	(cbrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series228.0ms (2.6%)

Counts

2 → 72

Calls

2 calls:

148.0ms	(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (fabs.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))))
79.0ms	(cbrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

rewrite34.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

68×	`add-sqr-sqrt_binary64`
58×	`sqrt-prod_binary64`
20×	`rem-sqrt-square_binary64`
18×	`unswap-sqr_binary64`
17×	`cbrt-prod_binary64`

Counts

2 → 80

Calls

2 calls:

12.0ms	(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (fabs.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))))
1.0ms	(cbrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

simplify260.0ms (3%)

Algorithm

1×	egg-herbie

Rules

662×	`times-frac_binary64`
625×	`fma-def_binary64`
326×	`*-commutative_binary64`
183×	`sqr-pow_binary64`
154×	`cancel-sign-sub-inv_binary64`

Counts

152 → 229

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	766	11721
1	2483	11110
2	4997	11110
3	4971	11110

prune826.0ms (9.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	433	2	435
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	434	13	447

Error

19.7b

Counts

447 → 13

Alt Table

Status	Error	Program
	20.8b	(.f64 2 (.f64 (fabs.f64 (cbrt.f64 (fma.f64 y x (.f64 z (+.f64 y x))))) (sqrt.f64 (cbrt.f64 (fma.f64 y x (.f64 z (+.f64 y x)))))))
✓	20.7b	(.f64 2 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (fabs.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))) (sqrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))))
	34.0b	(.f64 2 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 y x (.f64 z (+.f64 y x)))) 3)))
▶	20.8b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (cbrt.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))))
	44.6b	(.f64 2 (.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (+.f64 y z))) (log.f64 (/.f64 -1 x))))) (sqrt.f64 (fabs.f64 (pow.f64 (fma.f64 x (+.f64 y z) (.f64 y z)) 1/3)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))))
	45.9b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
	40.5b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
	42.1b	(.f64 2 (sqrt.f64 (.f64 y x)))
	63.3b	(.f64 2 (+.f64 (sqrt.f64 (.f64 z x)) (.f64 y (.f64 1/2 (+.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z)))))))
	20.8b	(.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))) (sqrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))))
	45.1b	(.f64 2 (+.f64 (sqrt.f64 (.f64 y z)) (.f64 (.f64 x 1/2) (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 z y))))))
	41.9b	(.f64 2 (sqrt.f64 (.f64 (+.f64 y z) x)))
	41.0b	(.f64 2 (sqrt.f64 (.f64 y z)))

Compiler

Compiled 30787 to 10830 computations (64.8% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))))
✓	0.5b	(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (cbrt.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))))))
✓	9.8b	(cbrt.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))))
	19.2b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series298.0ms (3.4%)

Counts

2 → 48

Calls

2 calls:

218.0ms

(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))))))

79.0ms

(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`sqrt-prod_binary64`
12×	`add-sqr-sqrt_binary64`
9×	`associate-l_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`

Counts

2 → 41

Calls

2 calls:

15.0ms

(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))))

6.0ms

(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))))))

simplify120.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

471×	`associate-l_binary64`
445×	`fma-def_binary64`
385×	`times-frac_binary64`
317×	`associate-/r*_binary64`
244×	`associate-/l*_binary64`

Counts

89 → 150

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	558	6125
1	1680	5244
2	5342	5244

prune661.0ms (7.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	421	2	423
Fresh	1	10	11
Picked	0	1	1
Done	1	0	1
Total	423	13	436

Error

19.7b

Counts

436 → 13

Alt Table

Status	Error	Program
	20.8b	(.f64 2 (.f64 (fabs.f64 (cbrt.f64 (fma.f64 y x (.f64 z (+.f64 y x))))) (sqrt.f64 (cbrt.f64 (fma.f64 y x (.f64 z (+.f64 y x)))))))
	44.6b	(.f64 2 (.f64 (.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (+.f64 y z))) (log.f64 (/.f64 -1 x))))) (sqrt.f64 (fabs.f64 (pow.f64 (fma.f64 x (+.f64 y z) (.f64 y z)) 1/3)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))))
	34.0b	(.f64 2 (cbrt.f64 (.f64 (fma.f64 x (+.f64 y z) (.f64 y z)) (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))
✓	20.8b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (cbrt.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))))
	45.9b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
	40.5b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
	42.1b	(.f64 2 (sqrt.f64 (.f64 y x)))
	63.3b	(.f64 2 (+.f64 (sqrt.f64 (.f64 z x)) (.f64 y (.f64 1/2 (+.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z)))))))
	20.8b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))) (sqrt.f64 (cbrt.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))))))
	20.8b	(.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))) (sqrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))))
	45.1b	(.f64 2 (+.f64 (sqrt.f64 (.f64 y z)) (.f64 (.f64 x 1/2) (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 z y))))))
	41.9b	(.f64 2 (sqrt.f64 (.f64 (+.f64 y z) x)))
	41.0b	(.f64 2 (sqrt.f64 (.f64 y z)))

Compiler

Compiled 27792 to 8801 computations (68.3% saved)

regimes1.8s (21.2%)

Accuracy

Total 0.5b remaining (2.6%)

Threshold costs 0.5b (2.6%)

Counts

214 → 1

Compiler

Compiled 43922 to 21290 computations (51.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	13	16
2	13	16

end221.0ms (2.5%)

Remove: (sort x y z)
Compiler: Compiled 442 to 210 computations (52.5% saved)

Details

analyze695.0ms (8%)

sample1.6s (18.7%)

simplify12.0ms (0.1%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series520.0ms (6%)

rewrite3.0ms (0%)

simplify81.0ms (0.9%)

prune80.0ms (0.9%)

localize10.0ms (0.1%)

series321.0ms (3.7%)

rewrite34.0ms (0.4%)

simplify117.0ms (1.4%)

prune618.0ms (7.1%)

localize20.0ms (0.2%)

series228.0ms (2.6%)

rewrite34.0ms (0.4%)

simplify260.0ms (3%)

prune826.0ms (9.5%)

localize17.0ms (0.2%)

series298.0ms (3.4%)

rewrite26.0ms (0.3%)

simplify120.0ms (1.4%)

prune661.0ms (7.6%)

regimes1.8s (21.2%)

simplify2.0ms (0%)

end221.0ms (2.5%)

Profiling