Details

analyze628.0ms (9.2%)

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 (0.9%)

Algorithm

1×

intervals

Symmetry

(sort x y z)

Results

15.0ms	256×	body	128	valid
4.0ms	75×	body	128	nan

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify8.0ms (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

19.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	19.8b	(.f64 2 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))

Compiler

Compiled 56 to 34 computations (39.3% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(fma.f64 x (+.f64 y z) (*.f64 y z))
✓	18.8b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series209.0ms (3%)

Counts

2 → 48

Calls

2 calls:

201.0ms	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
8.0ms	(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))

simplify81.0ms (1.2%)

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

prune91.0ms (1.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	59	11	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	11	71

Error

19.3b

Counts

71 → 11

Alt Table

Status	Error	Program
	20.3b	(.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)))))))
	41.3b	(.f64 2 (sqrt.f64 (.f64 y z)))
▶	20.1b	(.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))))))
	20.7b	(.f64 2 (.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))))) (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))
	45.0b	(.f64 2 (sqrt.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 x (+.f64 y z) (.f64 y z)) (fma.f64 x (+.f64 y z) (.f64 y z))) (fma.f64 x (+.f64 y z) (.f64 y z))))))
	32.5b	(.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))))))
	40.9b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
	40.9b	(.f64 2 (sqrt.f64 (.f64 (+.f64 y z) x)))
	45.5b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
	41.7b	(.f64 2 (sqrt.f64 (.f64 y x)))
	63.4b	(.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 2402 to 1153 computations (52% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(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)))))
	18.8b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series568.0ms (8.3%)

Counts

2 → 48

Calls

2 calls:

470.0ms	(.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)))))
97.0ms	(sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))

rewrite27.0ms (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:

10.0ms	(.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)))))
2.0ms	(sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))

simplify154.0ms (2.3%)

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

prune577.0ms (8.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	408	5	413
Fresh	3	7	10
Picked	0	1	1
Done	0	0	0
Total	411	13	424

Error

19.3b

Counts

424 → 13

Alt Table

Status	Error	Program
	20.3b	(.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)))))))
	41.3b	(.f64 2 (sqrt.f64 (.f64 y z)))
	20.2b	(.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))))
	40.9b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
▶	20.2b	(.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)))))))
	45.5b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
	20.7b	(.f64 2 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))))
	63.4b	(.f64 2 (+.f64 (sqrt.f64 (.f64 z x)) (.f64 y (.f64 1/2 (+.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z)))))))
	38.3b	(.f64 2 (pow.f64 (.f64 (fma.f64 x (+.f64 y z) (.f64 y z)) (fma.f64 x (+.f64 y z) (.f64 y z))) (/.f64 1/2 2)))
✓	20.1b	(.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))))))
	20.4b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) 3)))
	40.9b	(.f64 2 (sqrt.f64 (.f64 (+.f64 y z) x)))
	41.7b	(.f64 2 (sqrt.f64 (.f64 y x)))

Compiler

Compiled 20545 to 8661 computations (57.8% saved)

localize16.0ms (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))
	18.8b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
✓	19.3b	(cbrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series220.0ms (3.2%)

Counts

2 → 72

Calls

2 calls:

147.0ms	(.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))))))
73.0ms	(cbrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

rewrite24.0ms (0.3%)

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:

10.0ms	(.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)))

simplify230.0ms (3.4%)

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

prune625.0ms (9.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	433	2	435
Fresh	1	10	11
Picked	1	0	1
Done	0	1	1
Total	435	13	448

Error

19.3b

Counts

448 → 13

Alt Table

Status	Error	Program
▶	20.2b	(.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))))
	40.9b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
	20.4b	(.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (fabs.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))) (sqrt.f64 (cbrt.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)))))))
	40.9b	(.f64 2 (sqrt.f64 (.f64 (+.f64 y z) x)))
	20.7b	(.f64 2 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))))
	63.4b	(.f64 2 (+.f64 (sqrt.f64 (.f64 z x)) (.f64 y (.f64 1/2 (+.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z)))))))
	38.3b	(.f64 2 (pow.f64 (.f64 (fma.f64 x (+.f64 y z) (.f64 y z)) (fma.f64 x (+.f64 y z) (.f64 y z))) (/.f64 1/2 2)))
	41.3b	(.f64 2 (sqrt.f64 (.f64 y z)))
✓	20.1b	(.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))))))
	20.4b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) 3)))
	45.5b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
	20.7b	(.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (.f64 (cbrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (cbrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))) (cbrt.f64 (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)))))))
	41.7b	(.f64 2 (sqrt.f64 (.f64 y x)))

Compiler

Compiled 30860 to 10822 computations (64.9% saved)

localize13.0ms (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)))) (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)
✓	8.7b	(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) 3))
	18.8b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series455.0ms (6.6%)

Counts

3 → 84

Calls

3 calls:

196.0ms

(*.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)

66.0ms

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

rewrite42.0ms (0.6%)

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:

19.0ms

(*.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

(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)

simplify205.0ms (3%)

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

prune562.0ms (8.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	380	1	381
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	381	13	394

Error

19.3b

Counts

394 → 13

Alt Table

Status	Error	Program
✓	20.2b	(.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))))
	40.9b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
	20.4b	(.f64 2 (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (fabs.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))) (sqrt.f64 (cbrt.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)))))))
	40.9b	(.f64 2 (sqrt.f64 (.f64 (+.f64 y z) x)))
	20.5b	(.f64 2 (.f64 (.f64 (sqrt.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)))) 3/2))) (.f64 (sqrt.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)))) 3/2)))))
	20.7b	(.f64 2 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))))
	63.4b	(.f64 2 (+.f64 (sqrt.f64 (.f64 z x)) (.f64 y (.f64 1/2 (+.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z)))))))
	38.3b	(.f64 2 (pow.f64 (.f64 (fma.f64 x (+.f64 y z) (.f64 y z)) (fma.f64 x (+.f64 y z) (.f64 y z))) (/.f64 1/2 2)))
	41.3b	(.f64 2 (sqrt.f64 (.f64 y z)))
✓	20.1b	(.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))))))
	20.4b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) 3)))
	45.5b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
	41.7b	(.f64 2 (sqrt.f64 (.f64 y x)))

Compiler

Compiled 21179 to 9543 computations (54.9% saved)

regimes934.0ms (13.6%)

Accuracy

Total 0.5b remaining (2.5%)

Threshold costs 0.5b (2.5%)

Counts

117 → 1

Compiler

Compiled 24638 to 11810 computations (52.1% saved)

simplify3.0ms (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

end16.0ms (0.2%)

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

sample1.1s (15.8%)

Algorithm

1×

intervals

Results

452.0ms	8000×	body	128	valid
143.0ms	2322×	body	128	nan

Compiler

Compiled 390 to 192 computations (50.8% saved)

Details

analyze628.0ms (9.2%)

sample59.0ms (0.9%)

simplify8.0ms (0.1%)

prune3.0ms (0%)

localize10.0ms (0.1%)

series209.0ms (3%)

rewrite2.0ms (0%)

simplify81.0ms (1.2%)

prune91.0ms (1.3%)

localize9.0ms (0.1%)

series568.0ms (8.3%)

rewrite27.0ms (0.4%)

simplify154.0ms (2.3%)

prune577.0ms (8.4%)

localize16.0ms (0.2%)

series220.0ms (3.2%)

rewrite24.0ms (0.3%)

simplify230.0ms (3.4%)

prune625.0ms (9.1%)

localize13.0ms (0.2%)

series455.0ms (6.6%)

rewrite42.0ms (0.6%)

simplify205.0ms (3%)

prune562.0ms (8.2%)

regimes934.0ms (13.6%)

simplify3.0ms (0%)

end16.0ms (0.2%)

sample1.1s (15.8%)

Profiling