Details

analyze200.0ms (4.5%)

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)

sample45.0ms (1%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	29×	body	128	nan
1.0ms	13×	body	128	invalid

Compiler

Compiled 30 to 24 computations (20% saved)

simplify8.0ms (0.2%)

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 (0.1%)

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

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)

series12.0ms (0.3%)

Counts

1 → 25

Calls

1 calls:

12.0ms

(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)

simplify89.0ms (2%)

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

prune11.0ms (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
	34.4b	(.f64 1/2 (.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))))
▶	1.4b	(.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))))
	40.9b	(.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)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 y (sqrt.f64 z) x)
✓	0.4b	(.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))

series301.0ms (6.7%)

Counts

3 → 75

Calls

3 calls:

211.0ms

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

76.0ms

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

14.0ms

(*.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)))

rewrite41.0ms (0.9%)

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:

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)))

4.0ms

(*.f64 (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))

simplify148.0ms (3.3%)

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

prune226.0ms (5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	342	6	348
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	342	10	352

Error

0.0b

Counts

352 → 10

Alt Table

Status	Error	Program
▶	1.7b	(.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))) (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))
	25.4b	(.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 (expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x))))))
	48.8b	(.f64 1/2 (.f64 (cbrt.f64 (.f64 z (.f64 y y))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))
	34.4b	(.f64 1/2 (.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))))
✓	1.4b	(.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))))
	34.8b	(.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))))))
	40.9b	(.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))))
	1.8b	(.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))))) (*.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 (fma.f64 y (sqrt.f64 z) x))))
	1.8b	(.f64 1/2 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (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))))))

Compiler

Compiled 13594 to 5358 computations (60.6% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series322.0ms (7.2%)

Counts

3 → 75

Calls

3 calls:

215.0ms

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

89.0ms

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

19.0ms

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

rewrite37.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
36×	`pow1_binary64`
36×	`pow1/3_binary64`
23×	`add-exp-log_binary64`

Counts

3 → 113

Calls

3 calls:

16.0ms

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

6.0ms

(*.f64 (cbrt.f64 (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)))

simplify130.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

408×	`associate-l_binary64`
359×	`associate-r_binary64`
352×	`cancel-sign-sub-inv_binary64`
334×	`unswap-sqr_binary64`
198×	`*-commutative_binary64`

Counts

188 → 208

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	360	5985
1	937	5206
2	3233	4810
3	4981	4810

prune448.0ms (10%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	590	3	593
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	591	12	603

Error

0.0b

Counts

603 → 12

Alt Table

Status	Error	Program
✓	1.7b	(.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))) (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))
	35.5b	(.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 (exp.f64 (log.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 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (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))))))
	48.8b	(.f64 1/2 (.f64 (cbrt.f64 (.f64 z (.f64 y y))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))
	41.1b	(.f64 1/2 (cbrt.f64 (.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (fma.f64 y (sqrt.f64 z) x))) (fma.f64 y (sqrt.f64 z) x))))
	48.9b	(.f64 1/2 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 2) z) 1/9) (*.f64 (cbrt.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))))
	34.4b	(.f64 1/2 (.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))))
✓	1.4b	(.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))))
	34.8b	(.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))))))
	40.9b	(.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))))
	1.8b	(.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))))) (*.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 (fma.f64 y (sqrt.f64 z) x))))

Compiler

Compiled 36110 to 12166 computations (66.3% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

prune468.0ms (10.4%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	632	1	633
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	632	13	645

Error

0.0b

Counts

645 → 13

Alt Table

Status	Error	Program
✓	1.7b	(.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))) (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))
	35.5b	(.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 (exp.f64 (log.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 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (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))))))
	48.8b	(.f64 1/2 (.f64 (cbrt.f64 (.f64 z (.f64 y y))) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))
	41.1b	(.f64 1/2 (cbrt.f64 (.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (fma.f64 y (sqrt.f64 z) x))) (fma.f64 y (sqrt.f64 z) x))))
	48.9b	(.f64 1/2 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 2) z) 1/9) (*.f64 (cbrt.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))))
	34.4b	(.f64 1/2 (.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x))))
✓	1.4b	(.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))))
	34.8b	(.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))))))
	40.9b	(.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))))
	1.8b	(.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))))) (*.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 (fma.f64 y (sqrt.f64 z) x))))
	2.1b	(.f64 1/2 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))) 6))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))))

Compiler

Compiled 38701 to 12991 computations (66.4% saved)

regimes1.0s (22.5%)

Accuracy

Total 0.1b remaining (50.3%)

Threshold costs 0.1b (50.3%)

Counts

103 → 1

Compiler

Compiled 25264 to 10439 computations (58.7% saved)

simplify2.0ms (0.1%)

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)

sample943.0ms (21%)

Algorithm

1×

intervals

Results

391.0ms	8000×	body	128	valid
45.0ms	1033×	body	128	nan
28.0ms	383×	body	128	invalid

Compiler

Compiled 467 to 187 computations (60% saved)

Details

analyze200.0ms (4.5%)

sample45.0ms (1%)

simplify8.0ms (0.2%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

series12.0ms (0.3%)

rewrite1.0ms (0%)

simplify89.0ms (2%)

prune11.0ms (0.2%)

localize12.0ms (0.3%)

series301.0ms (6.7%)

rewrite41.0ms (0.9%)

simplify148.0ms (3.3%)

prune226.0ms (5%)

localize12.0ms (0.3%)

series322.0ms (7.2%)

rewrite37.0ms (0.8%)

simplify130.0ms (2.9%)

prune448.0ms (10%)

localize20.0ms (0.4%)

prune468.0ms (10.4%)

regimes1.0s (22.5%)

simplify2.0ms (0.1%)

end1.0ms (0%)

sample943.0ms (21%)

Profiling