Details

analyze613.0ms (7.9%)

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
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)

sample130.0ms (1.7%)

Algorithm

1×

intervals

Symmetry

(sort x y z)

Results

14.0ms	256×	body	128	valid
3.0ms	69×	body	128	nan

Compiler

Compiled 38 to 26 computations (31.6% 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

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

20.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	20.4b	(.f64 2 (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))

Compiler

Compiled 62 to 38 computations (38.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.8b	(+.f64 (.f64 x y) (.f64 x z))
✓	1.0b	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
✓	19.2b	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))

series412.0ms (5.3%)

Counts

3 → 84

Calls

3 calls:

396.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
9.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
7.0ms	(+.f64 (.f64 x y) (.f64 x z))

rewrite46.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
6×	`add-sqr-sqrt_binary64`
5×	`fma-def_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-cube-cbrt_binary64`

Counts

3 → 51

Calls

3 calls:

5.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
4.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
3.0ms	(+.f64 (.f64 x y) (.f64 x z))

simplify93.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

734×	`cancel-sign-sub-inv_binary64`
438×	`fma-neg_binary64`
256×	`fma-def_binary64`
241×	`associate-r_binary64`
221×	`distribute-rgt-out_binary64`

Counts

135 → 110

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	256	2240
1	699	2135
2	2637	2083
3	4536	2083
4	5042	2083

prune121.0ms (1.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	97	13	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	13	111

Error

19.8b

Counts

111 → 13

Alt Table

Status	Error	Program
	20.7b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y z (.f64 x (+.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 y z (.f64 x (+.f64 y z)))))))
	63.3b	(.f64 2 (+.f64 (sqrt.f64 (.f64 z x)) (.f64 (.f64 y 1/2) (+.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z))))))
	20.8b	(.f64 2 (.f64 (fabs.f64 (cbrt.f64 (fma.f64 y z (.f64 x (+.f64 y z))))) (sqrt.f64 (cbrt.f64 (fma.f64 y z (.f64 x (+.f64 y z)))))))
	42.3b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
▶	20.4b	(.f64 2 (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (+.f64 y x)))))
	51.3b	(.f64 2 (/.f64 (hypot.f64 (pow.f64 (.f64 x (+.f64 y z)) 3/2) (pow.f64 (.f64 y z) 3/2)) (sqrt.f64 (+.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 (.f64 x (+.f64 y z)) (fma.f64 y x (*.f64 z (-.f64 x y))))))))
	41.1b	(.f64 2 (sqrt.f64 (.f64 y x)))
	21.2b	(.f64 2 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y z (.f64 x (+.f64 y z))))) (cbrt.f64 (sqrt.f64 (fma.f64 y z (.f64 x (+.f64 y z)))))) (cbrt.f64 (sqrt.f64 (fma.f64 y z (.f64 x (+.f64 y z)))))))
	47.9b	(.f64 2 (+.f64 (sqrt.f64 (.f64 y z)) (.f64 (.f64 x 1/2) (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 z y))))))
	35.5b	(.f64 2 (cbrt.f64 (.f64 (.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))))
	43.1b	(.f64 2 (sqrt.f64 (.f64 y z)))
	40.0b	(.f64 2 (sqrt.f64 (.f64 (+.f64 y z) x)))
	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))))

Compiler

Compiled 3576 to 1502 computations (58% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 z (+.f64 y x))
✓	1.4b	(+.f64 (.f64 x y) (.f64 z (+.f64 y x)))
✓	19.2b	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 y x))))

series294.0ms (3.8%)

Counts

3 → 72

Calls

3 calls:

279.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 y x))))
8.0ms	(+.f64 (.f64 x y) (.f64 z (+.f64 y x)))
6.0ms	(*.f64 z (+.f64 y x))

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`
6×	`pow1_binary64`
5×	`add-cbrt-cube_binary64`

Counts

3 → 58

Calls

3 calls:

5.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 y x))))
4.0ms	(*.f64 z (+.f64 y x))
3.0ms	(+.f64 (.f64 x y) (.f64 z (+.f64 y x)))

simplify96.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

679×	`cancel-sign-sub-inv_binary64`
468×	`times-frac_binary64`
351×	`fma-neg_binary64`
251×	`fma-def_binary64`
241×	`associate-r_binary64`

Counts

130 → 111

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	2209
1	697	2115
2	2676	2070
3	4310	2070
4	5099	2070

prune123.0ms (1.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	110	14	124

Error

19.8b

Counts

124 → 14

Alt Table

Status	Error	Program
▶	20.7b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y z (.f64 x (+.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 y z (.f64 x (+.f64 y z)))))))
	63.3b	(.f64 2 (+.f64 (sqrt.f64 (.f64 z x)) (.f64 (.f64 y 1/2) (+.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z))))))
	20.8b	(.f64 2 (.f64 (fabs.f64 (cbrt.f64 (fma.f64 y z (.f64 x (+.f64 y z))))) (sqrt.f64 (cbrt.f64 (fma.f64 y z (.f64 x (+.f64 y z)))))))
	42.3b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
	43.6b	(.f64 2 (sqrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 y y) (-.f64 (.f64 x x) (.f64 y x)))))))
✓	20.4b	(.f64 2 (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (+.f64 y x)))))
	51.3b	(.f64 2 (/.f64 (hypot.f64 (pow.f64 (.f64 x (+.f64 y z)) 3/2) (pow.f64 (.f64 y z) 3/2)) (sqrt.f64 (+.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 (.f64 x (+.f64 y z)) (fma.f64 y x (*.f64 z (-.f64 x y))))))))
	41.1b	(.f64 2 (sqrt.f64 (.f64 y x)))
	21.2b	(.f64 2 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y z (.f64 x (+.f64 y z))))) (cbrt.f64 (sqrt.f64 (fma.f64 y z (.f64 x (+.f64 y z)))))) (cbrt.f64 (sqrt.f64 (fma.f64 y z (.f64 x (+.f64 y z)))))))
	47.9b	(.f64 2 (+.f64 (sqrt.f64 (.f64 y z)) (.f64 (.f64 x 1/2) (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 z y))))))
	35.5b	(.f64 2 (cbrt.f64 (.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 y x)))) (sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 y x))))) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (+.f64 y x)))))))
	43.1b	(.f64 2 (sqrt.f64 (.f64 y z)))
	40.0b	(.f64 2 (sqrt.f64 (.f64 (+.f64 y z) x)))
	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))))

Compiler

Compiled 3435 to 1536 computations (55.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
✓	0.5b	(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y z (.f64 x (+.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))))
✓	1.3b	(fma.f64 y z (*.f64 x (+.f64 y z)))
✓	19.2b	(sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))

series531.0ms (6.8%)

Counts

4 → 96

Calls

4 calls:

255.0ms	(sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))
196.0ms	(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y z (.f64 x (+.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))))
71.0ms	(sqrt.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
8.0ms	(fma.f64 y z (*.f64 x (+.f64 y z)))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`sqrt-prod_binary64`
68×	`add-sqr-sqrt_binary64`
37×	`sqrt-pow1_binary64`
30×	`pow1_binary64`
19×	`rem-sqrt-square_binary64`

Counts

4 → 131

Calls

4 calls:

9.0ms	(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y z (.f64 x (+.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))))
1.0ms	(sqrt.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
1.0ms	(sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))
0.0ms	(fma.f64 y z (*.f64 x (+.f64 y z)))

simplify129.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Counts

227 → 247

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	586	7625
1	1700	7136
2	5404	7136

prune546.0ms (7%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	419	3	422
Fresh	2	10	12
Picked	0	1	1
Done	0	1	1
Total	421	15	436

Error

19.8b

Counts

436 → 15

Alt Table

Status	Error	Program
	41.1b	(.f64 2 (sqrt.f64 (.f64 y x)))
	45.6b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)))))
✓	20.7b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y z (.f64 x (+.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 y z (.f64 x (+.f64 y z)))))))
	63.3b	(.f64 2 (+.f64 (sqrt.f64 (.f64 z x)) (.f64 (.f64 y 1/2) (+.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z))))))
▶	20.8b	(.f64 2 (.f64 (fabs.f64 (cbrt.f64 (fma.f64 y z (.f64 x (+.f64 y z))))) (sqrt.f64 (cbrt.f64 (fma.f64 y z (.f64 x (+.f64 y z)))))))
	42.3b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
	43.6b	(.f64 2 (sqrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 y y) (-.f64 (.f64 x x) (.f64 y x)))))))
✓	20.4b	(.f64 2 (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (+.f64 y x)))))
	51.3b	(.f64 2 (/.f64 (hypot.f64 (pow.f64 (.f64 x (+.f64 y z)) 3/2) (pow.f64 (.f64 y z) 3/2)) (sqrt.f64 (+.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 (.f64 x (+.f64 y z)) (fma.f64 y x (*.f64 z (-.f64 x y))))))))
	42.7b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y z (.f64 x (+.f64 y z))))) (exp.f64 (.f64 1/4 (-.f64 (log.f64 (neg.f64 (+.f64 y z))) (log.f64 (/.f64 -1 x)))))))
	35.5b	(.f64 2 (cbrt.f64 (.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 y x)))) (sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 y x))))) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (+.f64 y x)))))))
	21.0b	(.f64 2 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 y z (.f64 x (+.f64 y z)))) (cbrt.f64 (fma.f64 y z (.f64 x (+.f64 y z))))))) (sqrt.f64 (sqrt.f64 (.f64 (cbrt.f64 (fma.f64 y z (.f64 x (+.f64 y z)))) (cbrt.f64 (fma.f64 y z (.f64 x (+.f64 y z)))))))) (.f64 (sqrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y z (.f64 x (+.f64 y z)))))) (sqrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y z (.f64 x (+.f64 y z)))))))))
	43.1b	(.f64 2 (sqrt.f64 (.f64 y z)))
	40.0b	(.f64 2 (sqrt.f64 (.f64 (+.f64 y z) x)))
	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))))

Compiler

Compiled 20384 to 8287 computations (59.3% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (cbrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
✓	0.3b	(.f64 (fabs.f64 (cbrt.f64 (fma.f64 y z (.f64 x (+.f64 y z))))) (sqrt.f64 (cbrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))))
	1.3b	(fma.f64 y z (*.f64 x (+.f64 y z)))
✓	19.8b	(cbrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z))))

series258.0ms (3.3%)

Counts

3 → 108

Calls

3 calls:

123.0ms

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

69.0ms

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

65.0ms

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

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-sqr-sqrt_binary64`
26×	`cbrt-prod_binary64`
22×	`sqrt-prod_binary64`
15×	`unswap-sqr_binary64`
12×	`fabs-mul_binary64`

Counts

3 → 84

Calls

3 calls:

7.0ms

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

1.0ms

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

1.0ms

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

simplify197.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

878×	`fma-def_binary64`
434×	`*-commutative_binary64`
200×	`cancel-sign-sub-inv_binary64`
174×	`sqr-pow_binary64`
173×	`associate-r_binary64`

Counts

192 → 344

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	977	14054
1	3283	13200
2	4986	13200

prune666.0ms (8.6%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	495	3	498
Fresh	3	9	12
Picked	0	1	1
Done	0	2	2
Total	498	15	513

Error

19.8b

Counts

513 → 15

Alt Table

Status	Error	Program
✓	20.7b	(.f64 2 (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y z (.f64 x (+.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 y z (.f64 x (+.f64 y z)))))))
	63.3b	(.f64 2 (+.f64 (sqrt.f64 (.f64 z x)) (.f64 (.f64 y 1/2) (+.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z))))))
✓	20.8b	(.f64 2 (.f64 (fabs.f64 (cbrt.f64 (fma.f64 y z (.f64 x (+.f64 y z))))) (sqrt.f64 (cbrt.f64 (fma.f64 y z (.f64 x (+.f64 y z)))))))
	42.3b	(.f64 2 (sqrt.f64 (.f64 z (+.f64 y x))))
	43.6b	(.f64 2 (sqrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 y y) (-.f64 (.f64 x x) (.f64 y x)))))))
	20.9b	(.f64 2 (.f64 (.f64 (cbrt.f64 (fma.f64 z y (.f64 x (+.f64 z y)))) (sqrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z y (.f64 x (+.f64 z y))))))) (sqrt.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y z (.f64 x (+.f64 y z))))))))
✓	20.4b	(.f64 2 (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (+.f64 y x)))))
	51.3b	(.f64 2 (/.f64 (hypot.f64 (pow.f64 (.f64 x (+.f64 y z)) 3/2) (pow.f64 (.f64 y z) 3/2)) (sqrt.f64 (+.f64 (.f64 (.f64 y z) (.f64 y z)) (.f64 (.f64 x (+.f64 y z)) (fma.f64 y x (*.f64 z (-.f64 x y))))))))
	41.1b	(.f64 2 (sqrt.f64 (.f64 y x)))
	42.8b	(.f64 2 (.f64 (fabs.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 y z (.f64 x (+.f64 y z)))))))
	35.5b	(.f64 2 (cbrt.f64 (.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 y x)))) (sqrt.f64 (+.f64 (.f64 x y) (.f64 z (+.f64 y x))))) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z (+.f64 y x)))))))
	45.1b	(.f64 2 (.f64 (fabs.f64 (exp.f64 (.f64 1/3 (-.f64 (log.f64 (+.f64 y x)) (log.f64 (/.f64 1 z)))))) (sqrt.f64 (cbrt.f64 (fma.f64 y z (.f64 x (+.f64 y z)))))))
	43.1b	(.f64 2 (sqrt.f64 (.f64 y z)))
	40.0b	(.f64 2 (sqrt.f64 (.f64 (+.f64 y z) x)))
	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))))

Compiler

Compiled 28790 to 12025 computations (58.2% saved)

regimes1.6s (21.3%)

Accuracy

Total 0.6b remaining (2.8%)

Threshold costs 0.6b (2.8%)

Counts

176 → 1

Compiler

Compiled 30662 to 15686 computations (48.8% 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

end15.0ms (0.2%)

Compiler: Compiled 42 to 27 computations (35.7% saved)

sample1.7s (22.2%)

Algorithm

1×

intervals

Results

444.0ms	8000×	body	128	valid
119.0ms	2154×	body	128	nan

Compiler

Compiled 395 to 233 computations (41% saved)

Details

analyze613.0ms (7.9%)

sample130.0ms (1.7%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize8.0ms (0.1%)

series412.0ms (5.3%)

rewrite46.0ms (0.6%)

simplify93.0ms (1.2%)

prune121.0ms (1.6%)

localize8.0ms (0.1%)

series294.0ms (3.8%)

rewrite15.0ms (0.2%)

simplify96.0ms (1.2%)

prune123.0ms (1.6%)

localize9.0ms (0.1%)

series531.0ms (6.8%)

rewrite27.0ms (0.3%)

simplify129.0ms (1.7%)

prune546.0ms (7%)

localize18.0ms (0.2%)

series258.0ms (3.3%)

rewrite18.0ms (0.2%)

simplify197.0ms (2.5%)

prune666.0ms (8.6%)

regimes1.6s (21.3%)

simplify2.0ms (0%)

end15.0ms (0.2%)

sample1.7s (22.2%)

Profiling