Details

analyze626.0ms (8.4%)

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)

sample1.4s (19.1%)

Symmetry

(sort x y z)

Results

1.0s	8256×	body	128	valid
257.0ms	2415×	body	128	invalid

Compiler

Compiled 53 to 35 computations (34% saved)

simplify7.0ms (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

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

23.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	23.1b	(.f64 2 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))
	23.1b	(.f64 2 (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))

Compiler

Compiled 90 to 56 computations (37.8% 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))
✓	21.9b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series203.0ms (2.7%)

Counts

2 → 48

Calls

2 calls:

196.0ms	(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))

simplify79.0ms (1.1%)

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

prune82.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	60	10	70
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	62	10	72

Error

22.5b

Counts

72 → 10

Alt Table

Status	Error	Program
	41.0b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
	41.2b	(.f64 2 (sqrt.f64 (.f64 y z)))
	23.9b	(.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))))))
	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)))))))
	23.5b	(.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))))))
	44.0b	(.f64 2 (sqrt.f64 (.f64 (+.f64 y z) x)))
	46.6b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
▶	23.4b	(.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))))))
	36.2b	(.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))))))
	26.0b	(.f64 2 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))

Compiler

Compiled 2368 to 1137 computations (52% saved)

localize12.0ms (0.2%)

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)))))
	0.5b	(fma.f64 x (+.f64 y z) (*.f64 y z))
	21.9b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series251.0ms (3.3%)

Counts

2 → 48

Calls

2 calls:

186.0ms	(.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)))))
64.0ms	(sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))

rewrite61.0ms (0.8%)

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:

46.0ms	(.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))))

simplify103.0ms (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

prune541.0ms (7.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	409	4	413
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	412	11	423

Error

22.4b

Counts

423 → 11

Alt Table

Status	Error	Program
	44.0b	(.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)))
	23.5b	(.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))))))
	41.0b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
	41.2b	(.f64 2 (sqrt.f64 (.f64 y z)))
	36.2b	(.f64 2 (cbrt.f64 (.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))))) (.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))))))))
	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)))))))
▶	23.4b	(.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)))))))
	44.0b	(.f64 2 (sqrt.f64 (.f64 (+.f64 y z) x)))
	46.4b	(.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)))))))
	46.6b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
✓	23.4b	(.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))))))

Compiler

Compiled 20525 to 8631 computations (57.9% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.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))))))
	0.5b	(fma.f64 x (+.f64 y z) (*.f64 y z))
	21.9b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
✓	22.4b	(cbrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series230.0ms (3.1%)

Counts

2 → 72

Calls

2 calls:

161.0ms

(*.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))))))

69.0ms

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

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`add-sqr-sqrt_binary64`
90×	`rem-sqrt-square_binary64`
60×	`mul-fabs_binary64`
50×	`sqrt-prod_binary64`
28×	`cbrt-prod_binary64`

Counts

2 → 75

Calls

2 calls:

13.0ms

(*.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))))))

1.0ms

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

simplify219.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

916×	`fma-def_binary64`
402×	`times-frac_binary64`
285×	`*-commutative_binary64`
285×	`associate-/r*_binary64`
244×	`associate-/l*_binary64`

Counts

147 → 221

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	630	11966
1	2051	10352
2	4932	10288
3	5262	10288

prune678.0ms (9.1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	424	3	427
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	425	13	438

Error

22.4b

Counts

438 → 13

Alt Table

Status	Error	Program
	44.0b	(.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)))
	23.5b	(.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))))))
	41.0b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
	41.2b	(.f64 2 (sqrt.f64 (.f64 y z)))
	36.2b	(.f64 2 (cbrt.f64 (.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))))) (.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))))))))
	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)))))))
▶	23.4b	(.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 (.f64 (sqrt.f64 (fma.f64 y x (.f64 z (+.f64 y x)))) (sqrt.f64 (fma.f64 y x (.f64 z (+.f64 y x))))))))))
	46.6b	(.f64 2 (.f64 (exp.f64 (.f64 1/3 (-.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)))))
✓	23.4b	(.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)))))))
	44.0b	(.f64 2 (sqrt.f64 (.f64 (+.f64 y z) x)))
	46.6b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
✓	23.4b	(.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))))))
	46.5b	(.f64 2 (.f64 (exp.f64 (.f64 1/3 (-.f64 (log.f64 (neg.f64 (+.f64 y z))) (log.f64 (/.f64 -1 x))))) (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))

Compiler

Compiled 28908 to 10449 computations (63.9% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	21.9b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
✓	21.9b	(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
	22.4b	(cbrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
✓	22.4b	(cbrt.f64 (.f64 (sqrt.f64 (fma.f64 y x (.f64 z (+.f64 y x)))) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))))

series246.0ms (3.3%)

Counts

2 → 48

Calls

2 calls:

180.0ms	(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
66.0ms	(cbrt.f64 (.f64 (sqrt.f64 (fma.f64 y x (.f64 z (+.f64 y x)))) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))))

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

4.0ms	(cbrt.f64 (.f64 (sqrt.f64 (fma.f64 y x (.f64 z (+.f64 y x)))) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))))
1.0ms	(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))

simplify78.0ms (1%)

Algorithm

1×	egg-herbie

Rules

453×	`fma-def_binary64`
403×	`associate-l_binary64`
366×	`times-frac_binary64`
300×	`associate-/r*_binary64`
226×	`associate-/l*_binary64`

Counts

74 → 136

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	528	4323
1	1626	4130
2	5144	4130

prune847.0ms (11.3%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	310	0	310
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	310	13	323

Error

22.4b

Counts

323 → 13

Alt Table

Status	Error	Program
	44.0b	(.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)))
	23.5b	(.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))))))
	41.0b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
	41.2b	(.f64 2 (sqrt.f64 (.f64 y z)))
	36.2b	(.f64 2 (cbrt.f64 (.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))))) (.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))))))))
	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)))))))
✓	23.4b	(.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 (.f64 (sqrt.f64 (fma.f64 y x (.f64 z (+.f64 y x)))) (sqrt.f64 (fma.f64 y x (.f64 z (+.f64 y x))))))))))
	46.6b	(.f64 2 (.f64 (exp.f64 (.f64 1/3 (-.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)))))
✓	23.4b	(.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)))))))
	44.0b	(.f64 2 (sqrt.f64 (.f64 (+.f64 y z) x)))
	46.6b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
✓	23.4b	(.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))))))
	46.5b	(.f64 2 (.f64 (exp.f64 (.f64 1/3 (-.f64 (log.f64 (neg.f64 (+.f64 y z))) (log.f64 (/.f64 -1 x))))) (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))

Compiler

Compiled 24275 to 8529 computations (64.9% saved)

regimes1.1s (14.5%)

Accuracy

Total 0.5b remaining (2.7%)

Threshold costs 0.5b (2.7%)

Counts

138 → 1

Compiler

Compiled 26744 to 14270 computations (46.6% 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

end617.0ms (8.2%)

Compiler: Compiled 439 to 222 computations (49.4% saved)

Details

analyze626.0ms (8.4%)

sample1.4s (19.1%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series203.0ms (2.7%)

rewrite2.0ms (0%)

simplify79.0ms (1.1%)

prune82.0ms (1.1%)

localize12.0ms (0.2%)

series251.0ms (3.3%)

rewrite61.0ms (0.8%)

simplify103.0ms (1.4%)

prune541.0ms (7.2%)

localize15.0ms (0.2%)

series230.0ms (3.1%)

rewrite34.0ms (0.5%)

simplify219.0ms (2.9%)

prune678.0ms (9.1%)

localize26.0ms (0.3%)

series246.0ms (3.3%)

rewrite6.0ms (0.1%)

simplify78.0ms (1%)

prune847.0ms (11.3%)

regimes1.1s (14.5%)

simplify2.0ms (0%)

end617.0ms (8.2%)

Profiling