Details

analyze497.0ms (6.9%)

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
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
25%	74.9%	0.1%	8
25%	65.5%	9.5%	9
28.5%	50.9%	20.6%	10
30.4%	48.1%	21.5%	11
33.7%	37.3%	28.9%	12
37.4%	27.1%	35.5%	13
38.1%	26.2%	35.7%	14

Compiler

Compiled 18 to 12 computations (33.3% saved)

sample1.4s (19.3%)

Infinites

0% of outputs are infinite.

Symmetry

(sort x y z)

Results

1.1s	8256×	body	128	valid
263.0ms	2500×	body	128	invalid

Compiler

Compiled 53 to 35 computations (34% saved)

simplify12.0ms (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

prune4.0ms (0.1%)

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

19.4b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	19.4b	(.f64 2 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))
	19.5b	(.f64 2 (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))

Compiler

Compiled 90 to 56 computations (37.8% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.0b	(fma.f64 x (+.f64 y z) (*.f64 y z))
✓	19.3b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series227.0ms (3.2%)

Counts

2 → 48

Calls

2 calls:

220.0ms	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
7.0ms	(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))

simplify75.0ms (1%)

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

prune77.0ms (1.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	61	9	70
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	62	10	72

Error

19.2b

Counts

72 → 10

Alt Table

Status	Error	Program
✓	19.4b	(.f64 2 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))
	62.6b	(.f64 2 (+.f64 (sqrt.f64 (.f64 z x)) (.f64 y (.f64 1/2 (+.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z)))))))
	47.7b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
	20.0b	(.f64 2 (.f64 (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))) (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))
▶	19.7b	(.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))))))
	33.4b	(.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))))))
	22.6b	(.f64 2 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))
	40.1b	(.f64 2 (sqrt.f64 (.f64 y z)))
	38.9b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
	19.9b	(.f64 2 (sqrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))) (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))

Compiler

Compiled 2358 to 1132 computations (52% saved)

localize11.0ms (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	(.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)))))
	1.0b	(fma.f64 x (+.f64 y z) (*.f64 y z))
	19.3b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series287.0ms (4%)

Counts

2 → 48

Calls

2 calls:

220.0ms	(.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)))))
67.0ms	(sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))

rewrite23.0ms (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))))

simplify124.0ms (1.7%)

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

prune495.0ms (6.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	409	4	413
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	411	12	423

Error

19.2b

Counts

423 → 12

Alt Table

Status	Error	Program
✓	19.4b	(.f64 2 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))
	62.6b	(.f64 2 (+.f64 (sqrt.f64 (.f64 z x)) (.f64 y (.f64 1/2 (+.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z)))))))
	19.9b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (.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))))))))
✓	19.7b	(.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))))))
▶	19.8b	(.f64 2 (.f64 (.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)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))))
	19.9b	(.f64 2 (sqrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))) (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))
	47.7b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
	45.1b	(.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)))))))
	19.8b	(.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))))
	33.4b	(.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))))))
	40.1b	(.f64 2 (sqrt.f64 (.f64 y z)))
	38.9b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))

Compiler

Compiled 20527 to 8642 computations (57.9% 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)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))))
✓	0.4b	(.f64 (.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)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))))
	1.0b	(fma.f64 x (+.f64 y z) (*.f64 y z))
	19.3b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series693.0ms (9.6%)

Counts

2 → 48

Calls

2 calls:

507.0ms

(*.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))))))

185.0ms

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

rewrite60.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`sqrt-prod_binary64`
129×	`sqrt-pow1_binary64`
112×	`add-sqr-sqrt_binary64`
66×	`rem-sqrt-square_binary64`
65×	`pow1_binary64`

Counts

2 → 148

Calls

2 calls:

20.0ms

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

9.0ms

(*.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))))))

simplify265.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

517×	`*-commutative_binary64`
266×	`+-commutative_binary64`
239×	`fma-def_binary64`
214×	`associate-+r+_binary64`
195×	`associate-r_binary64`

Counts

196 → 235

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1220	17894
1	4388	17142
2	5032	17142

prune858.0ms (11.9%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	443	2	445
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	444	13	457

Error

19.2b

Counts

457 → 13

Alt Table

Status	Error	Program
✓	19.4b	(.f64 2 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))
	62.6b	(.f64 2 (+.f64 (sqrt.f64 (.f64 z x)) (.f64 y (.f64 1/2 (+.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z)))))))
	19.9b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (.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))))))))
✓	19.7b	(.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))))))
✓	19.8b	(.f64 2 (.f64 (.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)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))))
	19.9b	(.f64 2 (sqrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))) (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))
	47.7b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
▶	19.8b	(.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))))
	33.4b	(.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))))))
	57.3b	(.f64 2 (.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (neg.f64 (pow.f64 (+.f64 z x) 3))) (.f64 3 (log.f64 (/.f64 -1 y)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))))))
	40.1b	(.f64 2 (sqrt.f64 (.f64 y z)))
	38.9b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
	20.2b	(.f64 2 (.f64 (.f64 (.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 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))))

Compiler

Compiled 37070 to 17645 computations (52.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) 3)
	1.0b	(fma.f64 x (+.f64 y z) (*.f64 y z))
✓	10.5b	(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) 3))
	19.3b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series296.0ms (4.1%)

Counts

2 → 72

Calls

2 calls:

228.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) 3)
67.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) 3))

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`sqrt-prod_binary64`
24×	`cbrt-prod_binary64`
18×	`cube-prod_binary64`
18×	`unpow-prod-down_binary64`
16×	`*-un-lft-identity_binary64`

Counts

2 → 77

Calls

2 calls:

6.0ms	(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))

simplify169.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

777×	`fma-def_binary64`
770×	`times-frac_binary64`
253×	`*-commutative_binary64`
209×	`sqr-pow_binary64`
155×	`unswap-sqr_binary64`

Counts

149 → 208

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	702	8225
1	2284	8018
2	4985	8018
3	5189	8018

prune486.0ms (6.7%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	348	0	348
Fresh	0	9	9
Picked	0	1	1
Done	0	3	3
Total	348	13	361

Error

19.2b

Counts

361 → 13

Alt Table

Status	Error	Program
✓	19.4b	(.f64 2 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))
	62.6b	(.f64 2 (+.f64 (sqrt.f64 (.f64 z x)) (.f64 y (.f64 1/2 (+.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z)))))))
	19.9b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (.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))))))))
✓	19.7b	(.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))))))
✓	19.8b	(.f64 2 (.f64 (.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)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))))
	19.9b	(.f64 2 (sqrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))) (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))
	47.7b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
✓	19.8b	(.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))))
	33.4b	(.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))))))
	57.3b	(.f64 2 (.f64 (exp.f64 (.f64 1/8 (-.f64 (log.f64 (neg.f64 (pow.f64 (+.f64 z x) 3))) (.f64 3 (log.f64 (/.f64 -1 y)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))))))
	40.1b	(.f64 2 (sqrt.f64 (.f64 y z)))
	38.9b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
	20.2b	(.f64 2 (.f64 (.f64 (.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 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))))

Compiler

Compiled 19135 to 8748 computations (54.3% saved)

regimes921.0ms (12.8%)

Accuracy

Total 0.1b remaining (0.8%)

Threshold costs 0.1b (0.8%)

Counts

136 → 1

Compiler

Compiled 22790 to 12692 computations (44.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	17
1	18	17
2	16	17

end186.0ms (2.6%)

Remove: (sort x y z)
Compiler: Compiled 441 to 213 computations (51.7% saved)

Details

analyze497.0ms (6.9%)

sample1.4s (19.3%)

simplify12.0ms (0.2%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

series227.0ms (3.2%)

rewrite2.0ms (0%)

simplify75.0ms (1%)

prune77.0ms (1.1%)

localize11.0ms (0.1%)

series287.0ms (4%)

rewrite23.0ms (0.3%)

simplify124.0ms (1.7%)

prune495.0ms (6.9%)

localize15.0ms (0.2%)

series693.0ms (9.6%)

rewrite60.0ms (0.8%)

simplify265.0ms (3.7%)

prune858.0ms (11.9%)

localize12.0ms (0.2%)

series296.0ms (4.1%)

rewrite13.0ms (0.2%)

simplify169.0ms (2.3%)

prune486.0ms (6.7%)

regimes921.0ms (12.8%)

simplify2.0ms (0%)

end186.0ms (2.6%)

Profiling