Details

analyze593.0ms (6.5%)

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)

sample59.0ms (0.7%)

Algorithm

1×

intervals

Symmetry

(sort x y z)

Results

13.0ms	256×	body	128	valid
6.0ms	80×	body	128	nan

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify15.0ms (0.2%)

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

18.7b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	18.7b	(.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
✓	0.3b	(fma.f64 x (+.f64 y z) (*.f64 y z))
✓	17.7b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series220.0ms (2.4%)

Counts

2 → 48

Calls

2 calls:

209.0ms	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
11.0ms	(fma.f64 x (+.f64 y z) (*.f64 y z))

rewrite2.0ms (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))

simplify74.0ms (0.8%)

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

prune68.0ms (0.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	61	9	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	9	71

Error

18.2b

Counts

71 → 9

Alt Table

Status	Error	Program
	19.3b	(.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)))))))
▶	19.0b	(.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))))))
	33.2b	(.f64 2 (cbrt.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))) (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))
	21.9b	(.f64 2 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))
	38.7b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
	41.9b	(.f64 2 (sqrt.f64 (.f64 (+.f64 y z) x)))
	46.4b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
	63.5b	(.f64 2 (+.f64 (sqrt.f64 (.f64 z x)) (.f64 y (.f64 1/2 (+.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z)))))))
	39.4b	(.f64 2 (sqrt.f64 (.f64 y z)))

Compiler

Compiled 2276 to 1113 computations (51.1% saved)

localize9.0ms (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))))
	0.3b	(fma.f64 x (+.f64 y z) (*.f64 y z))
✓	0.4b	(.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)))))
	17.7b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series289.0ms (3.2%)

Counts

2 → 48

Calls

2 calls:

215.0ms	(.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)))))
74.0ms	(sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))

rewrite24.0ms (0.3%)

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:

8.0ms	(.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))))

simplify111.0ms (1.2%)

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

prune1.2s (13.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	408	5	413
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	411	11	422

Error

18.2b

Counts

422 → 11

Alt Table

Status	Error	Program
	19.2b	(.f64 2 (.f64 (sqrt.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))) (.f64 (sqrt.f64 (cbrt.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)))))))
	44.5b	(.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)))))))
▶	19.0b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (.f64 (sqrt.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)))))))
	39.4b	(.f64 2 (sqrt.f64 (.f64 y z)))
	19.1b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) 3))))
	33.2b	(.f64 2 (cbrt.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))) (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))
	19.3b	(.f64 2 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))))
	38.7b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
	41.9b	(.f64 2 (sqrt.f64 (.f64 (+.f64 y z) x)))
	46.4b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
	63.5b	(.f64 2 (+.f64 (sqrt.f64 (.f64 z x)) (.f64 y (.f64 1/2 (+.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z)))))))

Compiler

Compiled 20567 to 8644 computations (58% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(fma.f64 x (+.f64 y z) (*.f64 y z))
✓	0.3b	(.f64 (sqrt.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)))))
✓	0.3b	(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (.f64 (sqrt.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))))))
	17.7b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series749.0ms (8.2%)

Counts

2 → 48

Calls

2 calls:

533.0ms

(*.f64 (sqrt.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)))))

215.0ms

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

rewrite63.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

135×	`sqrt-prod_binary64`
134×	`sqrt-pow1_binary64`
109×	`add-sqr-sqrt_binary64`
70×	`pow1_binary64`
66×	`rem-sqrt-square_binary64`

Counts

2 → 151

Calls

2 calls:

22.0ms

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

9.0ms

(*.f64 (sqrt.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)))))

simplify254.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

516×	`*-commutative_binary64`
266×	`+-commutative_binary64`
239×	`fma-def_binary64`
215×	`associate-+r+_binary64`
202×	`associate-r_binary64`

Counts

199 → 240

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1218	17853
1	4382	17105
2	5019	17105

prune1.1s (12.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	448	2	450
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	449	12	461

Error

18.2b

Counts

461 → 12

Alt Table

Status	Error	Program
	19.2b	(.f64 2 (.f64 (sqrt.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))) (.f64 (sqrt.f64 (cbrt.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)))))))
	44.5b	(.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)))))))
✓	19.0b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (.f64 (sqrt.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)))))))
	39.4b	(.f64 2 (sqrt.f64 (.f64 y z)))
	19.3b	(.f64 2 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) 4))
▶	19.1b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) 3))))
	33.2b	(.f64 2 (cbrt.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))) (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))
	19.5b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (.f64 (.f64 (cbrt.f64 (.f64 (sqrt.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)))))) (cbrt.f64 (.f64 (sqrt.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))))))) (cbrt.f64 (.f64 (sqrt.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)))))))))
	38.7b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
	41.9b	(.f64 2 (sqrt.f64 (.f64 (+.f64 y z) x)))
	46.4b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
	63.5b	(.f64 2 (+.f64 (sqrt.f64 (.f64 z x)) (.f64 y (.f64 1/2 (+.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z)))))))

Compiler

Compiled 37261 to 17659 computations (52.6% saved)

localize15.0ms (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)))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) 3)))
✓	0.6b	(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) 3)
✓	8.2b	(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) 3))
	17.7b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series503.0ms (5.5%)

Counts

3 → 84

Calls

3 calls:

234.0ms

(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) 3)))

192.0ms

(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) 3)

76.0ms

(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) 3))

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`sqrt-prod_binary64`
79×	`add-sqr-sqrt_binary64`
72×	`cbrt-prod_binary64`
36×	`cube-prod_binary64`
36×	`unpow-prod-down_binary64`

Counts

3 → 153

Calls

3 calls:

14.0ms

(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) 3)))

3.0ms

(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) 3)

3.0ms

(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) 3))

simplify187.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

770×	`times-frac_binary64`
728×	`fma-def_binary64`
336×	`*-commutative_binary64`
210×	`sqr-pow_binary64`
136×	`+-commutative_binary64`

Counts

237 → 293

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	885	11262
1	2725	11009
2	5073	11009

prune508.0ms (5.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	379	2	381
Fresh	3	7	10
Picked	0	1	1
Done	0	1	1
Total	382	11	393

Error

18.2b

Counts

393 → 11

Alt Table

Status	Error	Program
	46.4b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
	44.5b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (cbrt.f64 (pow.f64 (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (+.f64 y z))) (log.f64 (/.f64 -1 x))))) 3))))
✓	19.0b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (.f64 (sqrt.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)))))))
	39.4b	(.f64 2 (sqrt.f64 (.f64 y z)))
	19.3b	(.f64 2 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) 4))
✓	19.1b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) 3))))
	19.3b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) 3))))))
	38.7b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
	41.9b	(.f64 2 (sqrt.f64 (.f64 (+.f64 y z) x)))
	63.5b	(.f64 2 (+.f64 (sqrt.f64 (.f64 z x)) (.f64 y (.f64 1/2 (+.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z)))))))
	19.2b	(.f64 2 (.f64 (sqrt.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))) (.f64 (sqrt.f64 (cbrt.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)))))))

Compiler

Compiled 21113 to 9528 computations (54.9% saved)

regimes1.9s (20.5%)

Accuracy

Total 0.5b remaining (2.4%)

Threshold costs 0.5b (2.4%)

Counts

229 → 1

Compiler

Compiled 44096 to 21674 computations (50.8% 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

end17.0ms (0.2%)

Remove: (sort x y z)
Compiler: Compiled 42 to 27 computations (35.7% saved)

sample1.1s (11.6%)

Algorithm

1×

intervals

Results

457.0ms	8000×	body	128	valid
128.0ms	2307×	body	128	nan

Compiler

Compiled 324 to 177 computations (45.4% saved)

Details

analyze593.0ms (6.5%)

sample59.0ms (0.7%)

simplify15.0ms (0.2%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series220.0ms (2.4%)

rewrite2.0ms (0%)

simplify74.0ms (0.8%)

prune68.0ms (0.7%)

localize9.0ms (0.1%)

series289.0ms (3.2%)

rewrite24.0ms (0.3%)

simplify111.0ms (1.2%)

prune1.2s (13.4%)

localize11.0ms (0.1%)

series749.0ms (8.2%)

rewrite63.0ms (0.7%)

simplify254.0ms (2.8%)

prune1.1s (12.6%)

localize15.0ms (0.2%)

series503.0ms (5.5%)

rewrite40.0ms (0.4%)

simplify187.0ms (2.1%)

prune508.0ms (5.6%)

regimes1.9s (20.5%)

simplify2.0ms (0%)

end17.0ms (0.2%)

sample1.1s (11.6%)

Profiling