Details

analyze208.0ms (3.4%)

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
25%	74.9%	0.1%	6
34.3%	40.6%	25.1%	7
35.9%	39%	25.1%	8
42.1%	32.8%	25.1%	9
42.9%	19.5%	37.6%	10
43.3%	19.1%	37.6%	11
45%	17.5%	37.6%	12
45.1%	10.3%	44.6%	13
45.2%	10.2%	44.6%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample42.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	35×	body	128	nan
0.0ms	9×	body	128	invalid

Compiler

Compiled 30 to 24 computations (20% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
10×	`fma-def_binary64`
2×	`associate-r_binary64`
2×	`associate-l_binary64`
2×	`distribute-lft-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	12
1	23	10
2	35	10
3	41	10
4	39	10

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

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(*.f64 1/2 (fma.f64 y (sqrt.f64 z) x))

Compiler

Compiled 40 to 27 computations (32.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 y (sqrt.f64 z) x)

series13.0ms (0.2%)

Counts

1 → 25

Calls

1 calls:

13.0ms

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

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

simplify90.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

642×	`distribute-rgt-in_binary64`
492×	`distribute-lft-in_binary64`
436×	`distribute-rgt-out_binary64`
421×	`associate-l_binary64`
413×	`*-commutative_binary64`

Counts

35 → 15

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	262
1	20	247
2	43	247
3	104	247
4	281	247
5	915	247
6	1563	247
7	2177	247
8	2401	247
9	3023	247
10	3557	247
11	4430	247
12	4903	247

prune12.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	3	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	4	16

Error

0.1b

Counts

16 → 4

Alt Table

Status	Error	Program
	29.2b	(.f64 1/2 (.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))))
▶	1.3b	(.f64 1/2 (.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))
	44.0b	(.f64 1/2 (cbrt.f64 (.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (fma.f64 y (sqrt.f64 z) x)) (fma.f64 y (sqrt.f64 z) x))))
✓	0.1b	(*.f64 1/2 (fma.f64 y (sqrt.f64 z) x))

Compiler

Compiled 298 to 126 computations (57.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 y (sqrt.f64 z) x)
✓	0.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
✓	0.5b	(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
✓	0.6b	(cbrt.f64 (fma.f64 y (sqrt.f64 z) x))

series306.0ms (5.1%)

Counts

3 → 75

Calls

3 calls:

214.0ms

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

79.0ms

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

13.0ms

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

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
24×	`add-sqr-sqrt_binary64`
23×	`cbrt-prod_binary64`
16×	`pow1/3_binary64`
14×	`*-un-lft-identity_binary64`

Counts

3 → 93

Calls

3 calls:

7.0ms

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

6.0ms

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

1.0ms

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

simplify107.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

374×	`cancel-sign-sub-inv_binary64`
265×	`associate-r_binary64`
242×	`associate-/r/_binary64`
235×	`associate-l_binary64`
225×	`unswap-sqr_binary64`

Counts

168 → 193

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	4425
1	842	4181
2	2818	3870
3	4974	3870

prune216.0ms (3.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	344	4	348
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	344	8	352

Error

0.0b

Counts

352 → 8

Alt Table

Status	Error	Program
	29.6b	(.f64 1/2 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))))))
	29.2b	(.f64 1/2 (.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))))
▶	1.5b	(.f64 1/2 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))
	44.0b	(.f64 1/2 (cbrt.f64 (.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (fma.f64 y (sqrt.f64 z) x)) (fma.f64 y (sqrt.f64 z) x))))
✓	1.3b	(.f64 1/2 (.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))
✓	0.1b	(*.f64 1/2 (fma.f64 y (sqrt.f64 z) x))
	48.2b	(.f64 1/2 (.f64 (cbrt.f64 (.f64 z (.f64 y y))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))
	1.7b	(.f64 1/2 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))

Compiler

Compiled 13452 to 5304 computations (60.6% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
✓	0.5b	(.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))))
✓	0.5b	(cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
	0.6b	(cbrt.f64 (fma.f64 y (sqrt.f64 z) x))

series311.0ms (5.1%)

Counts

2 → 50

Calls

2 calls:

220.0ms

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

90.0ms

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

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64`
7×	`add-exp-log_binary64`
7×	`pow1_binary64`
6×	`associate-l_binary64`

Counts

2 → 41

Calls

2 calls:

8.0ms

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

1.0ms

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

simplify123.0ms (2%)

Algorithm

1×	egg-herbie

Rules

365×	`cancel-sign-sub-inv_binary64`
275×	`associate-r_binary64`
242×	`associate-/r/_binary64`
235×	`associate-l_binary64`
205×	`unswap-sqr_binary64`

Counts

91 → 127

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	292	4255
1	841	3991
2	2878	3614
3	4847	3542
4	4981	3542

prune387.0ms (6.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	488	3	491
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	488	11	499

Error

0.0b

Counts

499 → 11

Alt Table

Status	Error	Program
	29.6b	(.f64 1/2 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))))))
	29.2b	(.f64 1/2 (.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))))
✓	1.5b	(.f64 1/2 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))
	44.0b	(.f64 1/2 (cbrt.f64 (.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (fma.f64 y (sqrt.f64 z) x)) (fma.f64 y (sqrt.f64 z) x))))
	1.9b	(.f64 1/2 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))))
✓	0.1b	(*.f64 1/2 (fma.f64 y (sqrt.f64 z) x))
	1.9b	(.f64 1/2 (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))
	31.9b	(.f64 1/2 (.f64 (cbrt.f64 (.f64 (fma.f64 y (sqrt.f64 z) x) (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))
✓	1.3b	(.f64 1/2 (.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))
	48.2b	(.f64 1/2 (.f64 (cbrt.f64 (.f64 z (.f64 y y))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))
▶	1.7b	(.f64 1/2 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))

Compiler

Compiled 29281 to 10591 computations (63.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))))
✓	0.5b	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))
	0.5b	(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
	0.6b	(cbrt.f64 (fma.f64 y (sqrt.f64 z) x))

series1.2s (20%)

Counts

2 → 50

Calls

2 calls:

984.0ms

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

223.0ms

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

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
9×	`cbrt-prod_binary64`
9×	`pow1_binary64`
7×	`pow1/3_binary64`
6×	`*-un-lft-identity_binary64`

Counts

2 → 47

Calls

2 calls:

4.0ms

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

3.0ms

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

simplify132.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

980×	`times-frac_binary64`
843×	`fma-def_binary64`
237×	`associate-r_binary64`
190×	`associate-l_binary64`
186×	`fma-neg_binary64`

Counts

97 → 122

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	275	4542
1	766	4206
2	2519	3820
3	4978	3820
4	4964	3820

prune716.0ms (11.8%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	860	2	862
Fresh	1	6	7
Picked	0	1	1
Done	0	3	3
Total	861	12	873

Error

0.0b

Counts

873 → 12

Alt Table

Status	Error	Program
	29.6b	(.f64 1/2 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))))))
	29.2b	(.f64 1/2 (.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))))
✓	1.5b	(.f64 1/2 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))
	44.0b	(.f64 1/2 (cbrt.f64 (.f64 (*.f64 (fma.f64 y (sqrt.f64 z) x) (fma.f64 y (sqrt.f64 z) x)) (fma.f64 y (sqrt.f64 z) x))))
	1.9b	(.f64 1/2 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))))
✓	0.1b	(*.f64 1/2 (fma.f64 y (sqrt.f64 z) x))
	1.9b	(.f64 1/2 (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))
	31.9b	(.f64 1/2 (.f64 (cbrt.f64 (.f64 (fma.f64 y (sqrt.f64 z) x) (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))
✓	1.3b	(.f64 1/2 (.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))
✓	1.7b	(.f64 1/2 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))
	1.7b	(.f64 1/2 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))) (sqrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))
	1.8b	(.f64 1/2 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))

Compiler

Compiled 62754 to 18168 computations (71% saved)

regimes984.0ms (16.3%)

Accuracy

Total 0.1b remaining (43.5%)

Threshold costs 0.1b (43.5%)

Counts

105 → 1

Compiler

Compiled 29569 to 11104 computations (62.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	9	10
2	9	10

end1.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

sample1.1s (18.1%)

Algorithm

1×

intervals

Results

487.0ms	8000×	body	128	valid
45.0ms	1069×	body	128	nan
23.0ms	400×	body	128	invalid

Compiler

Compiled 597 to 176 computations (70.5% saved)

Details

analyze208.0ms (3.4%)

sample42.0ms (0.7%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize5.0ms (0.1%)

series13.0ms (0.2%)

rewrite1.0ms (0%)

simplify90.0ms (1.5%)

prune12.0ms (0.2%)

localize9.0ms (0.1%)

series306.0ms (5.1%)

rewrite20.0ms (0.3%)

simplify107.0ms (1.8%)

prune216.0ms (3.6%)

localize14.0ms (0.2%)

series311.0ms (5.1%)

rewrite12.0ms (0.2%)

simplify123.0ms (2%)

prune387.0ms (6.4%)

localize12.0ms (0.2%)

series1.2s (20%)

rewrite11.0ms (0.2%)

simplify132.0ms (2.2%)

prune716.0ms (11.8%)

regimes984.0ms (16.3%)

simplify2.0ms (0%)

end1.0ms (0%)

sample1.1s (18.1%)

Profiling