Details

analyze1.1s (11.8%)

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)

sample55.0ms (0.6%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
4.0ms	79×	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

prune5.0ms (0.1%)

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

19.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	19.0b	(.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))
✓	18.0b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series237.0ms (2.7%)

Counts

2 → 48

Calls

2 calls:

226.0ms	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
10.0ms	(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))

simplify78.0ms (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

prune114.0ms (1.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	60	10	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	11	71

Error

18.6b

Counts

71 → 11

Alt Table

Status	Error	Program
	31.8b	(.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))))))
	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)))))))
	22.3b	(.f64 2 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))
	61.8b	(.f64 2 (sqrt.f64 (.f64 z x)))
	46.9b	(.f64 2 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 y x (.f64 z (+.f64 y x))) 3))))
	47.0b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
✓	19.0b	(.f64 2 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))
	42.2b	(.f64 2 (sqrt.f64 (.f64 y x)))
	19.5b	(.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)))))))
▶	19.3b	(.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 (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))))))

Compiler

Compiled 2372 to 1152 computations (51.4% 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))
✓	0.5b	(.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)))))
	18.0b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series268.0ms (3%)

Counts

2 → 48

Calls

2 calls:

196.0ms	(.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)))))
71.0ms	(sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))

rewrite27.0ms (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:

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

simplify104.0ms (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

prune583.0ms (6.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	408	5	413
Fresh	3	6	9
Picked	0	1	1
Done	0	1	1
Total	411	13	424

Error

18.5b

Counts

424 → 13

Alt Table

Status	Error	Program
	31.8b	(.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))))))
	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)))))))
✓	19.0b	(.f64 2 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))
	42.2b	(.f64 2 (sqrt.f64 (.f64 y x)))
	61.8b	(.f64 2 (sqrt.f64 (.f64 z x)))
	19.5b	(.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)))))))
▶	19.3b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (.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)))))))))
	19.7b	(.f64 2 (.f64 (.f64 (sqrt.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 (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))))))) (.f64 (sqrt.f64 (sqrt.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))))))))
✓	19.3b	(.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))))))
	19.4b	(.f64 2 (.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))))))))
	43.2b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (+.f64 z x)) (log.f64 y)))))
	47.0b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
	44.2b	(.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)))))))

Compiler

Compiled 20643 to 8692 computations (57.9% saved)

localize18.0ms (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 (.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))))))))
✓	0.5b	(fma.f64 y x (*.f64 z (+.f64 y x)))
	18.0b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
✓	18.6b	(cbrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))

series342.0ms (3.8%)

Counts

3 → 108

Calls

3 calls:

263.0ms

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

70.0ms

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

8.0ms

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

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
13×	`sqrt-prod_binary64`
10×	`pow1_binary64`
9×	`associate-l_binary64`
8×	`*-un-lft-identity_binary64`

Counts

3 → 56

Calls

3 calls:

9.0ms

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

1.0ms

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

0.0ms

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

simplify194.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

796×	`times-frac_binary64`
763×	`fma-def_binary64`
372×	`*-commutative_binary64`
201×	`associate-r_binary64`
132×	`+-commutative_binary64`

Counts

164 → 246

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	789	12818
1	2576	12028
2	5007	12028

prune740.0ms (8.3%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	412	2	414
Fresh	2	8	10
Picked	0	1	1
Done	0	2	2
Total	414	13	427

Error

18.5b

Counts

427 → 13

Alt Table

Status	Error	Program
	31.8b	(.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))))))
	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)))))))
▶	19.4b	(.f64 2 (.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))))))))
	42.7b	(.f64 2 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (.f64 x y)))) (exp.f64 (fma.f64 (+.f64 (log.f64 (+.f64 z x)) (log.f64 y)) 1/4 (.f64 (+.f64 (log.f64 (+.f64 z x)) (log.f64 y)) 1/12)))))
✓	19.0b	(.f64 2 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))
	42.2b	(.f64 2 (sqrt.f64 (.f64 y x)))
	61.8b	(.f64 2 (sqrt.f64 (.f64 z x)))
	19.5b	(.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)))))))
✓	19.3b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (.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)))))))))
	19.7b	(.f64 2 (.f64 (.f64 (sqrt.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 (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))))))) (.f64 (sqrt.f64 (sqrt.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))))))))
✓	19.3b	(.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))))))
	44.4b	(.f64 2 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (.f64 x y)))) (exp.f64 (fma.f64 (-.f64 (log.f64 (neg.f64 (+.f64 z y))) (log.f64 (/.f64 -1 x))) 1/12 (.f64 (-.f64 (log.f64 (neg.f64 (+.f64 z y))) (log.f64 (/.f64 -1 x))) 1/4)))))
	47.0b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))

Compiler

Compiled 30986 to 11627 computations (62.5% 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))
✓	0.5b	(.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)))))))
✓	0.5b	(.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))))))
	18.0b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series318.0ms (3.6%)

Counts

2 → 48

Calls

2 calls:

234.0ms

(*.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)))))))

83.0ms

(*.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))))))

rewrite87.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

252×	`sqrt-prod_binary64`
210×	`sqrt-pow1_binary64`
173×	`add-sqr-sqrt_binary64`
92×	`pow1_binary64`
90×	`rem-sqrt-square_binary64`

Counts

2 → 210

Calls

2 calls:

23.0ms

(*.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)))))))

12.0ms

(*.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))))))

simplify188.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Counts

258 → 265

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	610	7699
1	1736	7226
2	5486	7226

prune601.0ms (6.7%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	474	1	475
Fresh	1	8	9
Picked	0	1	1
Done	0	3	3
Total	475	13	488

Error

18.5b

Counts

488 → 13

Alt Table

Status	Error	Program
	31.8b	(.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))))))
	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)))))))
✓	19.4b	(.f64 2 (.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))))))))
	42.7b	(.f64 2 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (.f64 x y)))) (exp.f64 (fma.f64 (+.f64 (log.f64 (+.f64 z x)) (log.f64 y)) 1/4 (.f64 (+.f64 (log.f64 (+.f64 z x)) (log.f64 y)) 1/12)))))
✓	19.0b	(.f64 2 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))
	42.2b	(.f64 2 (sqrt.f64 (.f64 y x)))
	61.8b	(.f64 2 (sqrt.f64 (.f64 z x)))
	19.5b	(.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)))))))
✓	19.3b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (.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)))))))))
✓	19.3b	(.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))))))
	44.4b	(.f64 2 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (.f64 x y)))) (exp.f64 (fma.f64 (-.f64 (log.f64 (neg.f64 (+.f64 z y))) (log.f64 (/.f64 -1 x))) 1/12 (.f64 (-.f64 (log.f64 (neg.f64 (+.f64 z y))) (log.f64 (/.f64 -1 x))) 1/4)))))
	47.0b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
	19.6b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))) 3))))

Compiler

Compiled 24129 to 7843 computations (67.5% saved)

regimes1.7s (19.4%)

Accuracy

Total 0.5b remaining (2.4%)

Threshold costs 0.5b (2.4%)

Counts

142 → 1

Compiler

Compiled 28406 to 14222 computations (49.9% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	18	21
2	18	21

end32.0ms (0.4%)

Remove: (sort x y z)
Compiler: Compiled 51 to 33 computations (35.3% saved)

sample2.1s (23.4%)

Algorithm

1×

intervals

Results

887.0ms	8000×	body	128	valid
243.0ms	2273×	body	128	nan

Compiler

Compiled 398 to 210 computations (47.2% saved)

Details

analyze1.1s (11.8%)

sample55.0ms (0.6%)

simplify8.0ms (0.1%)

prune5.0ms (0.1%)

localize7.0ms (0.1%)

series237.0ms (2.7%)

rewrite2.0ms (0%)

simplify78.0ms (0.9%)

prune114.0ms (1.3%)

localize9.0ms (0.1%)

series268.0ms (3%)

rewrite27.0ms (0.3%)

simplify104.0ms (1.2%)

prune583.0ms (6.5%)

localize18.0ms (0.2%)

series342.0ms (3.8%)

rewrite17.0ms (0.2%)

simplify194.0ms (2.2%)

prune740.0ms (8.3%)

localize11.0ms (0.1%)

series318.0ms (3.6%)

rewrite87.0ms (1%)

simplify188.0ms (2.1%)

prune601.0ms (6.7%)

regimes1.7s (19.4%)

simplify4.0ms (0%)

end32.0ms (0.4%)

sample2.1s (23.4%)

Profiling