Details

analyze618.0ms (8.3%)

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)

sample1.7s (22.5%)

Symmetry

(sort x y z)

Results

1.3s	8256×	body	128	valid
365.0ms	2390×	body	128	invalid

Compiler

Compiled 53 to 35 computations (34% 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

17.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	17.1b	(.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
✓	0.3b	(fma.f64 x (+.f64 y z) (*.f64 y z))
✓	16.2b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series187.0ms (2.5%)

Counts

2 → 48

Calls

2 calls:

179.0ms	(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))

simplify78.0ms (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

prune117.0ms (1.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	58	12	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	12	71

Error

16.5b

Counts

71 → 12

Alt Table

Status	Error	Program
	17.6b	(.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))))))
▶	17.3b	(.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))))))
	17.6b	(.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)))))))
	17.9b	(.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))))))
	39.5b	(.f64 2 (sqrt.f64 (.f64 y z)))
	38.6b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
	40.2b	(.f64 2 (sqrt.f64 (.f64 (+.f64 y z) x)))
	20.4b	(.f64 2 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))
	45.6b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
	40.5b	(.f64 2 (sqrt.f64 (.f64 y x)))
	63.2b	(.f64 2 (+.f64 (sqrt.f64 (.f64 z x)) (.f64 y (.f64 1/2 (+.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z)))))))
	31.5b	(.f64 2 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 y x (.f64 z (+.f64 y x)))) 3)))

Compiler

Compiled 2402 to 1175 computations (51.1% saved)

localize11.0ms (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))))
	0.3b	(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)))))
	16.2b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series252.0ms (3.4%)

Counts

2 → 48

Calls

2 calls:

188.0ms	(.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))))

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:

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

simplify148.0ms (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

prune496.0ms (6.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	407	6	413
Fresh	5	6	11
Picked	0	1	1
Done	0	0	0
Total	412	13	425

Error

16.5b

Counts

425 → 13

Alt Table

Status	Error	Program
	39.5b	(.f64 2 (sqrt.f64 (.f64 y z)))
	17.6b	(.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)))))))
	31.5b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 y x (.f64 z (+.f64 y x)))) 3)))))
	40.2b	(.f64 2 (sqrt.f64 (.f64 (+.f64 y z) x)))
	17.7b	(.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))))))))
	45.6b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
	17.5b	(.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))))
	42.6b	(.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)))))
▶	17.4b	(.f64 2 (.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)))))) (.f64 (sqrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))))
	38.6b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
✓	17.3b	(.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))))))
	40.5b	(.f64 2 (sqrt.f64 (.f64 y x)))
	63.2b	(.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 20653 to 8697 computations (57.9% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))) (cbrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))
✓	3.2b	(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)))))
	16.2b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
✓	16.7b	(cbrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series381.0ms (5.1%)

Counts

3 → 108

Calls

3 calls:

247.0ms

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

68.0ms

(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)))))

65.0ms

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

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
19×	`cbrt-prod_binary64`
18×	`pow1_binary64`
13×	`pow1/3_binary64`
12×	`*-un-lft-identity_binary64`

Counts

3 → 76

Calls

3 calls:

4.0ms

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

3.0ms

(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)))))

1.0ms

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

simplify221.0ms (3%)

Algorithm

1×	egg-herbie

Rules

858×	`fma-def_binary64`
409×	`*-commutative_binary64`
192×	`+-commutative_binary64`
184×	`sqr-pow_binary64`
176×	`unswap-sqr_binary64`

Counts

184 → 220

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	998	15842
1	3564	15185
2	5035	15185

prune736.0ms (9.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	426	4	430
Fresh	3	8	11
Picked	0	1	1
Done	0	1	1
Total	429	14	443

Error

16.5b

Counts

443 → 14

Alt Table

Status	Error	Program
	45.6b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
	17.5b	(.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))))
	17.7b	(.f64 2 (.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)))))) (.f64 (sqrt.f64 (sqrt.f64 (cbrt.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))))))))))
	40.5b	(.f64 2 (sqrt.f64 (.f64 y x)))
	39.1b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (cbrt.f64 (.f64 (fma.f64 x (+.f64 y z) (.f64 y z)) (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 (fma.f64 x (+.f64 y z) (.f64 y z)))))))
	17.5b	(.f64 2 (.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)))))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))))
	42.6b	(.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)))))
✓	17.4b	(.f64 2 (.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)))))) (.f64 (sqrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))))
	39.5b	(.f64 2 (sqrt.f64 (.f64 y z)))
	38.6b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
	40.2b	(.f64 2 (sqrt.f64 (.f64 (+.f64 y z) x)))
▶	17.5b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))) (.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 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))))
✓	17.3b	(.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))))))
	63.2b	(.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 41790 to 17007 computations (59.3% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))
✓	3.2b	(sqrt.f64 (.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))) (.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)))))))
	16.2b	(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
	16.7b	(cbrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))

series134.0ms (1.8%)

Counts

2 → 72

Calls

2 calls:

68.0ms

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

65.0ms

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

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`pow1_binary64`
6×	`cbrt-prod_binary64`
5×	`pow-prod-down_binary64`
4×	`*-un-lft-identity_binary64`
4×	`sqrt-prod_binary64`

Counts

2 → 31

Calls

2 calls:

5.0ms

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

1.0ms

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

simplify167.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

916×	`fma-def_binary64`
710×	`times-frac_binary64`
257×	`*-commutative_binary64`
171×	`sqr-pow_binary64`
130×	`cancel-sign-sub-inv_binary64`

Counts

103 → 171

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	674	7103
1	2246	6800
2	4922	6733
3	5287	6733

prune848.0ms (11.4%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	555	0	555
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	555	14	569

Error

16.5b

Counts

569 → 14

Alt Table

Status	Error	Program
	45.6b	(.f64 2 (fma.f64 1/2 (.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x))))
	17.5b	(.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))))
	17.7b	(.f64 2 (.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)))))) (.f64 (sqrt.f64 (sqrt.f64 (cbrt.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))))))))))
	40.5b	(.f64 2 (sqrt.f64 (.f64 y x)))
	39.1b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (cbrt.f64 (.f64 (fma.f64 x (+.f64 y z) (.f64 y z)) (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 (fma.f64 x (+.f64 y z) (.f64 y z)))))))
	17.5b	(.f64 2 (.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)))))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))) (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))))
	42.6b	(.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)))))
✓	17.4b	(.f64 2 (.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)))))) (.f64 (sqrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))))
	39.5b	(.f64 2 (sqrt.f64 (.f64 y z)))
	38.6b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
	40.2b	(.f64 2 (sqrt.f64 (.f64 (+.f64 y z) x)))
✓	17.5b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))) (.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 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 y z)))))))
✓	17.3b	(.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))))))
	63.2b	(.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 51617 to 17014 computations (67% saved)

regimes1.0s (14.1%)

Accuracy

Total 0.5b remaining (2.6%)

Threshold costs 0.5b (2.6%)

Counts

136 → 1

Compiler

Compiled 29456 to 13148 computations (55.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`*-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	18	16
2	17	16

end195.0ms (2.6%)

Remove: (sort x y z)
Compiler: Compiled 513 to 242 computations (52.8% saved)

Details

analyze618.0ms (8.3%)

sample1.7s (22.5%)

simplify8.0ms (0.1%)

prune3.0ms (0%)

localize10.0ms (0.1%)

series187.0ms (2.5%)

rewrite2.0ms (0%)

simplify78.0ms (1%)

prune117.0ms (1.6%)

localize11.0ms (0.1%)

series252.0ms (3.4%)

rewrite24.0ms (0.3%)

simplify148.0ms (2%)

prune496.0ms (6.7%)

localize18.0ms (0.2%)

series381.0ms (5.1%)

rewrite14.0ms (0.2%)

simplify221.0ms (3%)

prune736.0ms (9.9%)

localize18.0ms (0.2%)

series134.0ms (1.8%)

rewrite14.0ms (0.2%)

simplify167.0ms (2.3%)

prune848.0ms (11.4%)

regimes1.0s (14.1%)

simplify2.0ms (0%)

end195.0ms (2.6%)

Profiling