Details

analyze866.0ms (13.5%)

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
26.5%	73.3%	0.1%	8
33.5%	66.3%	0.1%	9
49.1%	50.7%	0.1%	10
56.9%	42.9%	0.1%	11
60.8%	39%	0.1%	12
69%	30.9%	0.1%	13
72.5%	27.3%	0.1%	14

Compiler

Compiled 16 to 10 computations (37.5% saved)

sample43.0ms (0.7%)

Algorithm

1×

intervals

Results

15.0ms	80×	body	1024	valid
6.0ms	51×	body	512	valid
5.0ms	81×	body	128	valid
5.0ms	25×	body	2048	valid
2.0ms	19×	body	256	valid

Compiler

Compiled 34 to 22 computations (35.3% saved)

simplify31.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

202×	`cancel-sign-sub-inv_binary64`
170×	`sub-neg_binary64`
91×	`associate--r+_binary64`
82×	`associate-+l-_binary64`
77×	`associate--l+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	21	17
2	48	17
3	129	17
4	231	17
5	425	17
6	500	17
7	515	17
8	534	17
9	535	17
10	504	17

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

43.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	43.0b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

Compiler

Compiled 45 to 27 computations (40% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
7.1b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

42.4b

Rules

13×	`add-log-exp_binary64`
10×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`cancel-sign-sub-inv_binary64`
4×	`sum-log_binary64`

Counts

2 → 32

Calls

2 calls:

7.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
3.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 644 to 219 computations (66% saved)

series125.0ms (1.9%)

Error

41.9b

Counts

2 → 36

Calls

2 calls:

76.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
35.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 791 to 474 computations (40.1% saved)

simplify111.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

477×	`cancel-sign-sub-inv_binary64`
421×	`distribute-rgt-in_binary64`
394×	`distribute-lft-in_binary64`
361×	`distribute-rgt-out_binary64`
282×	`associate-l_binary64`

Counts

68 → 58

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	973
1	225	913
2	646	910
3	2915	901
4	4571	901
5	4919	901

prune40.0ms (0.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	48	10	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	10	59

Error

41.8b

Counts

59 → 10

Alt Table

Status	Error	Program
	43.7b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))
	44.3b	(-.f64 (fma.f64 x y z) (+.f64 1 (cbrt.f64 (pow.f64 (+.f64 z (*.f64 x y)) 3))))
	54.1b	(-.f64 (fma.f64 x y z) (+.f64 1 (exp.f64 (log.f64 (+.f64 z (*.f64 x y))))))
	44.9b	(/.f64 (-.f64 (.f64 (fma.f64 x y z) (fma.f64 x y z)) (pow.f64 (sqrt.f64 (+.f64 (+.f64 z 1) (.f64 x y))) 4)) (+.f64 (fma.f64 x y z) (+.f64 (+.f64 z 1) (*.f64 x y))))
	61.7b	(neg.f64 z)
	45.3b	(-.f64 (fma.f64 x y z) (+.f64 1 (*.f64 x y)))
	62.0b	(neg.f64 (*.f64 x y))
▶	43.6b	(-.f64 (fma.f64 x y z) (+.f64 z 1))
	49.2b	(-.f64 (fma.f64 x y z) (+.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (*.f64 x y) z))))))
	53.6b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (sqrt.f64 (+.f64 z (.f64 x y))) (sqrt.f64 (+.f64 z (*.f64 x y))))))

Compiler

Compiled 813 to 379 computations (53.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

1.9b	(-.f64 (fma.f64 x y z) (+.f64 z 1))

rewrite19.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

22.4b

Rules

9×	`*-un-lft-identity_binary64`
6×	`add-log-exp_binary64`
4×	`cancel-sign-sub-inv_binary64`
4×	`add-sqr-sqrt_binary64`
2×	`distribute-lft-out--_binary64`

Counts

1 → 20

Calls

1 calls:

4.0ms

(-.f64 (fma.f64 x y z) (+.f64 z 1))

Compiler

Compiled 290 to 145 computations (50% saved)

series15.0ms (0.2%)

Error

41.8b

Counts

1 → 12

Calls

1 calls:

13.0ms

(-.f64 (fma.f64 x y z) (+.f64 z 1))

Compiler

Compiled 239 to 153 computations (36% saved)

simplify71.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

456×	`associate-+l+_binary64`
418×	`neg-mul-1_binary64`
307×	`sub-neg_binary64`
268×	`distribute-rgt-out_binary64`
237×	`distribute-neg-in_binary64`

Counts

32 → 21

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	442
1	124	409
2	263	408
3	1096	406
4	2388	406
5	4492	406
6	4950	406

prune14.0ms (0.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	21	10	31

Error

41.8b

Counts

31 → 10

Alt Table

Status	Error	Program
▶	43.7b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))
	44.3b	(-.f64 (fma.f64 x y z) (+.f64 1 (cbrt.f64 (pow.f64 (+.f64 z (*.f64 x y)) 3))))
	54.1b	(-.f64 (fma.f64 x y z) (+.f64 1 (exp.f64 (log.f64 (+.f64 z (*.f64 x y))))))
	44.9b	(/.f64 (-.f64 (.f64 (fma.f64 x y z) (fma.f64 x y z)) (pow.f64 (sqrt.f64 (+.f64 (+.f64 z 1) (.f64 x y))) 4)) (+.f64 (fma.f64 x y z) (+.f64 (+.f64 z 1) (*.f64 x y))))
	61.7b	(neg.f64 z)
	45.3b	(-.f64 (fma.f64 x y z) (+.f64 1 (*.f64 x y)))
	62.0b	(neg.f64 (*.f64 x y))
✓	43.6b	(-.f64 (fma.f64 x y z) (+.f64 z 1))
	49.2b	(-.f64 (fma.f64 x y z) (+.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (*.f64 x y) z))))))
	53.6b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (sqrt.f64 (+.f64 z (.f64 x y))) (sqrt.f64 (+.f64 z (*.f64 x y))))))

Compiler

Compiled 475 to 256 computations (46.1% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.6b	(cbrt.f64 (+.f64 z (*.f64 x y)))
5.6b	(cbrt.f64 (+.f64 z (*.f64 x y)))
5.6b	(cbrt.f64 (+.f64 z (*.f64 x y)))
31.0b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

rewrite81.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

41.7b

Rules

10×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`cbrt-prod_binary64`
9×	`add-log-exp_binary64`
8×	`add-cube-cbrt_binary64`

Counts

4 → 57

Calls

4 calls:

4.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))
2.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
2.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
2.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))

Compiler

Compiled 2274 to 406 computations (82.1% saved)

series209.0ms (3.3%)

Error

41.8b

Counts

4 → 69

Calls

4 calls:

53.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
52.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
50.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
27.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

Compiler

Compiled 5694 to 3279 computations (42.4% saved)

simplify134.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

394×	`associate-l_binary64`
382×	`associate-r_binary64`
260×	`distribute-rgt-in_binary64`
247×	`distribute-lft-in_binary64`
200×	`sub-neg_binary64`

Counts

126 → 94

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	2418
1	401	2351
2	1005	2303
3	4133	2111
4	4962	2111
5	4921	2111

prune53.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	89	5	94
Fresh	1	7	8
Picked	1	0	1
Done	1	0	1
Total	92	12	104

Error

41.8b

Counts

104 → 12

Alt Table

Status	Error	Program
▶	43.7b	(-.f64 (+.f64 (fma.f64 x y z) -1) (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y)))))
	61.7b	(neg.f64 z)
	44.1b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (.f64 x y))))))
	53.6b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (sqrt.f64 (+.f64 z (.f64 x y))) (sqrt.f64 (+.f64 z (*.f64 x y))))))
	44.3b	(-.f64 (fma.f64 x y z) (+.f64 1 (cbrt.f64 (pow.f64 (+.f64 z (*.f64 x y)) 3))))
	54.1b	(-.f64 (fma.f64 x y z) (+.f64 1 (exp.f64 (log.f64 (+.f64 z (*.f64 x y))))))
	44.9b	(/.f64 (-.f64 (.f64 (fma.f64 x y z) (fma.f64 x y z)) (pow.f64 (sqrt.f64 (+.f64 (+.f64 z 1) (.f64 x y))) 4)) (+.f64 (fma.f64 x y z) (+.f64 (+.f64 z 1) (*.f64 x y))))
	49.7b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 x y) 3))) (cbrt.f64 (+.f64 (.f64 z z) (.f64 x (.f64 y (-.f64 (*.f64 x y) z)))))))))
	49.7b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 x y) 3))) (cbrt.f64 (+.f64 (.f64 z z) (.f64 x (.f64 y (-.f64 (.f64 x y) z)))))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))
	62.0b	(neg.f64 (*.f64 x y))
	45.4b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (/.f64 (neg.f64 x) (/.f64 -1 y))))))
	49.2b	(-.f64 (fma.f64 x y z) (+.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (*.f64 x y) z))))))

Compiler

Compiled 2210 to 834 computations (62.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.6b	(cbrt.f64 (+.f64 z (*.f64 x y)))
5.6b	(cbrt.f64 (+.f64 z (*.f64 x y)))
5.6b	(cbrt.f64 (+.f64 z (*.f64 x y)))
31.0b	(-.f64 (+.f64 (fma.f64 x y z) -1) (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y)))))

rewrite286.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

41.7b

Rules

114×	`cbrt-div_binary64`
83×	`flip-+_binary64`
83×	`flip3-+_binary64`
56×	`frac-times_binary64`
52×	`frac-sub_binary64`

Counts

4 → 105

Calls

4 calls:

10.0ms	(-.f64 (+.f64 (fma.f64 x y z) -1) (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y)))))
2.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
2.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
2.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))

Compiler

Compiled 8577 to 1776 computations (79.3% saved)

series199.0ms (3.1%)

Error

41.8b

Counts

4 → 69

Calls

4 calls:

52.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
46.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
46.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
25.0ms	(-.f64 (+.f64 (fma.f64 x y z) -1) (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y)))))

Compiler

Compiled 5694 to 3279 computations (42.4% saved)

simplify281.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

448×	`cancel-sign-sub-inv_binary64`
328×	`distribute-rgt-neg-in_binary64`
295×	`associate-r_binary64`
276×	`distribute-lft-neg-in_binary64`
255×	`associate-l_binary64`

Counts

174 → 142

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	357	10584
1	780	10473
2	2456	9911
3	4410	9719
4	4971	9719

prune98.0ms (1.5%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	129	13	142
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	130	24	154

Error

41.7b

Counts

154 → 24

Alt Table

Status	Error	Program
	44.3b	(-.f64 (fma.f64 x y z) (+.f64 1 (cbrt.f64 (pow.f64 (+.f64 z (*.f64 x y)) 3))))
	49.8b	(/.f64 (.f64 (+.f64 (fma.f64 x y z) 1) (-.f64 (.f64 (+.f64 (fma.f64 x y z) -1) (cbrt.f64 (+.f64 (.f64 z z) (.f64 x (.f64 y (-.f64 (.f64 x y) z)))))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 x y) 3))))))) (.f64 (cbrt.f64 (+.f64 (.f64 z z) (.f64 x (.f64 y (-.f64 (.f64 x y) z))))) (+.f64 (fma.f64 x y z) 1)))
	54.1b	(-.f64 (fma.f64 x y z) (+.f64 1 (exp.f64 (log.f64 (+.f64 z (*.f64 x y))))))
	44.3b	(/.f64 (.f64 (+.f64 (fma.f64 x y z) 1) (-.f64 (.f64 (+.f64 (fma.f64 x y z) -1) (.f64 (cbrt.f64 (-.f64 z (.f64 x y))) (cbrt.f64 (-.f64 z (.f64 x y))))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (-.f64 (.f64 z z) (.f64 (.f64 x y) (.f64 x y)))) (cbrt.f64 (-.f64 (.f64 z z) (.f64 (.f64 x y) (.f64 x y)))))))) (.f64 (+.f64 (fma.f64 x y z) 1) (.f64 (cbrt.f64 (-.f64 z (.f64 x y))) (cbrt.f64 (-.f64 z (.f64 x y))))))
	44.9b	(/.f64 (-.f64 (.f64 (fma.f64 x y z) (fma.f64 x y z)) (pow.f64 (sqrt.f64 (+.f64 (+.f64 z 1) (.f64 x y))) 4)) (+.f64 (fma.f64 x y z) (+.f64 (+.f64 z 1) (*.f64 x y))))
	49.8b	(/.f64 (.f64 (+.f64 (fma.f64 x y z) 1) (-.f64 (.f64 (+.f64 (fma.f64 x y z) -1) (.f64 (cbrt.f64 (+.f64 (.f64 z z) (.f64 x (.f64 y (-.f64 (.f64 x y) z))))) (.f64 (cbrt.f64 (-.f64 z (.f64 x y))) (cbrt.f64 (-.f64 z (.f64 x y)))))) (.f64 (cbrt.f64 (-.f64 (.f64 z z) (.f64 (.f64 x y) (.f64 x y)))) (.f64 (cbrt.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 x y) 3))) (cbrt.f64 (-.f64 (.f64 z z) (.f64 (.f64 x y) (.f64 x y)))))))) (.f64 (cbrt.f64 (+.f64 (.f64 z z) (.f64 x (.f64 y (-.f64 (.f64 x y) z))))) (.f64 (+.f64 (fma.f64 x y z) 1) (.f64 (cbrt.f64 (-.f64 z (.f64 x y))) (cbrt.f64 (-.f64 z (.f64 x y)))))))
	49.7b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 x y) 3))) (cbrt.f64 (+.f64 (.f64 z z) (.f64 x (.f64 y (-.f64 (.f64 x y) z)))))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))
	49.8b	(/.f64 (.f64 (+.f64 (fma.f64 x y z) 1) (-.f64 (.f64 (+.f64 (fma.f64 x y z) -1) (+.f64 (.f64 z z) (.f64 x (.f64 y (-.f64 (.f64 x y) z))))) (+.f64 (pow.f64 z 3) (pow.f64 (.f64 x y) 3)))) (.f64 (+.f64 (.f64 z z) (.f64 x (.f64 y (-.f64 (.f64 x y) z)))) (+.f64 (fma.f64 x y z) 1)))
	43.7b	(-.f64 (+.f64 (fma.f64 x y z) -1) (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y)))))
	61.7b	(neg.f64 z)
	44.5b	(/.f64 (-.f64 (.f64 (+.f64 -1 (pow.f64 (fma.f64 x y z) 3)) (cbrt.f64 (-.f64 z (.f64 x y)))) (.f64 (+.f64 1 (.f64 (fma.f64 x y z) (+.f64 (fma.f64 x y z) 1))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (-.f64 (.f64 z z) (.f64 (.f64 x y) (.f64 x y)))))))) (.f64 (+.f64 1 (.f64 (fma.f64 x y z) (+.f64 (fma.f64 x y z) 1))) (cbrt.f64 (-.f64 z (*.f64 x y)))))
	62.0b	(neg.f64 (*.f64 x y))
	44.5b	(/.f64 (-.f64 (.f64 (+.f64 -1 (pow.f64 (fma.f64 x y z) 3)) (.f64 (cbrt.f64 (-.f64 z (.f64 x y))) (cbrt.f64 (-.f64 z (.f64 x y))))) (.f64 (+.f64 1 (.f64 (fma.f64 x y z) (+.f64 (fma.f64 x y z) 1))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (-.f64 (.f64 z z) (.f64 (.f64 x y) (.f64 x y)))) (cbrt.f64 (-.f64 (.f64 z z) (.f64 (.f64 x y) (.f64 x y)))))))) (.f64 (+.f64 1 (.f64 (fma.f64 x y z) (+.f64 (fma.f64 x y z) 1))) (.f64 (cbrt.f64 (-.f64 z (.f64 x y))) (cbrt.f64 (-.f64 z (.f64 x y))))))
	45.4b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (/.f64 (neg.f64 x) (/.f64 -1 y))))))
	49.9b	(/.f64 (-.f64 (.f64 (+.f64 -1 (pow.f64 (fma.f64 x y z) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 z z) (.f64 x (.f64 y (-.f64 (.f64 x y) z))))) (cbrt.f64 (-.f64 z (.f64 x y))))) (.f64 (+.f64 1 (.f64 (fma.f64 x y z) (+.f64 (fma.f64 x y z) 1))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 x y) 3))) (cbrt.f64 (-.f64 (.f64 z z) (.f64 (.f64 x y) (.f64 x y)))))))) (.f64 (+.f64 1 (.f64 (fma.f64 x y z) (+.f64 (fma.f64 x y z) 1))) (.f64 (cbrt.f64 (+.f64 (.f64 z z) (.f64 x (.f64 y (-.f64 (.f64 x y) z))))) (cbrt.f64 (-.f64 z (*.f64 x y))))))
	49.2b	(-.f64 (fma.f64 x y z) (+.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (*.f64 x y) z))))))
	44.2b	(/.f64 (-.f64 (.f64 (+.f64 (fma.f64 x y z) -1) (+.f64 (fma.f64 x y z) -1)) (pow.f64 (cbrt.f64 (+.f64 z (.f64 x y))) 6)) (+.f64 (+.f64 z (*.f64 x y)) (+.f64 (fma.f64 x y z) -1)))
	44.1b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (.f64 x y))))))
	53.6b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (sqrt.f64 (+.f64 z (.f64 x y))) (sqrt.f64 (+.f64 z (*.f64 x y))))))
	44.2b	(/.f64 (.f64 (+.f64 (fma.f64 x y z) 1) (-.f64 (.f64 (+.f64 (fma.f64 x y z) -1) (cbrt.f64 (-.f64 z (.f64 x y)))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (-.f64 (.f64 z z) (.f64 (.f64 x y) (.f64 x y)))))))) (.f64 (+.f64 (fma.f64 x y z) 1) (cbrt.f64 (-.f64 z (*.f64 x y)))))
	49.8b	(/.f64 (.f64 (+.f64 (fma.f64 x y z) 1) (-.f64 (.f64 (+.f64 (fma.f64 x y z) -1) (.f64 (cbrt.f64 (+.f64 (.f64 z z) (.f64 x (.f64 y (-.f64 (.f64 x y) z))))) (cbrt.f64 (-.f64 z (.f64 x y))))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 x y) 3))) (cbrt.f64 (-.f64 (.f64 z z) (.f64 (.f64 x y) (.f64 x y)))))))) (.f64 (cbrt.f64 (+.f64 (.f64 z z) (.f64 x (.f64 y (-.f64 (.f64 x y) z))))) (.f64 (+.f64 (fma.f64 x y z) 1) (cbrt.f64 (-.f64 z (*.f64 x y))))))
	49.8b	(/.f64 (.f64 (+.f64 (fma.f64 x y z) 1) (-.f64 (.f64 (+.f64 (fma.f64 x y z) -1) (.f64 (cbrt.f64 (+.f64 (.f64 z z) (.f64 x (.f64 y (-.f64 (.f64 x y) z))))) (cbrt.f64 (+.f64 (.f64 z z) (.f64 x (.f64 y (-.f64 (.f64 x y) z))))))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 x y) 3))) (cbrt.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 x y) 3))))))) (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 z z) (.f64 x (.f64 y (-.f64 (.f64 x y) z))))) (cbrt.f64 (+.f64 (.f64 z z) (.f64 x (.f64 y (-.f64 (.f64 x y) z)))))) (+.f64 (fma.f64 x y z) 1)))
	49.8b	(/.f64 (-.f64 (.f64 (+.f64 -1 (pow.f64 (fma.f64 x y z) 3)) (cbrt.f64 (+.f64 (.f64 z z) (.f64 x (.f64 y (-.f64 (.f64 x y) z)))))) (.f64 (+.f64 1 (.f64 (fma.f64 x y z) (+.f64 (fma.f64 x y z) 1))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 x y) 3))))))) (.f64 (cbrt.f64 (+.f64 (.f64 z z) (.f64 x (.f64 y (-.f64 (.f64 x y) z))))) (+.f64 1 (.f64 (fma.f64 x y z) (+.f64 (fma.f64 x y z) 1)))))
	44.4b	(/.f64 (.f64 (-.f64 z (.f64 x y)) (-.f64 (+.f64 -1 (pow.f64 (fma.f64 x y z) 3)) (.f64 (+.f64 1 (.f64 (fma.f64 x y z) (+.f64 (fma.f64 x y z) 1))) (+.f64 z (.f64 x y))))) (.f64 (+.f64 1 (.f64 (fma.f64 x y z) (+.f64 (fma.f64 x y z) 1))) (-.f64 z (.f64 x y))))

Compiler

Compiled 4544 to 1446 computations (68.2% saved)

regimes1.6s (24.8%)

Accuracy

Total -18.2b remaining (-71.1%)

Threshold costs -18.2b (-71.1%)

Compiler

Compiled 34698 to 13492 computations (61.1% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
3×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	19	11
3	21	11
4	22	11
5	20	11

end1.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

sample2.1s (32.2%)

Algorithm

1×

intervals

Results

764.0ms	2726×	body	1024	valid
222.0ms	1074×	body	2048	valid
163.0ms	1293×	body	512	valid
103.0ms	2293×	body	128	valid
53.0ms	613×	body	256	valid
0.0ms	1×	body	4096	valid

Compiler

Compiled 1403 to 593 computations (57.7% saved)

Iter	Nodes	Cost
0	10	17
1	21	17
2	48	17
3	129	17
4	231	17
5	425	17
6	500	17
7	515	17
8	534	17
9	535	17
10	504	17

Iter	Nodes	Cost
0	10	17
1	21	17
2	48	17
3	129	17
4	231	17
5	425	17
6	500	17
7	515	17
8	534	17
9	535	17
10	504	17

Details

analyze866.0ms (13.5%)

sample43.0ms (0.7%)

simplify31.0ms (0.5%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite34.0ms (0.5%)

series125.0ms (1.9%)

simplify111.0ms (1.7%)

prune40.0ms (0.6%)

localize5.0ms (0.1%)

rewrite19.0ms (0.3%)

series15.0ms (0.2%)

simplify71.0ms (1.1%)

prune14.0ms (0.2%)

localize15.0ms (0.2%)

rewrite81.0ms (1.3%)

series209.0ms (3.3%)

simplify134.0ms (2.1%)

prune53.0ms (0.8%)

localize12.0ms (0.2%)

rewrite286.0ms (4.5%)

series199.0ms (3.1%)

simplify281.0ms (4.4%)

prune98.0ms (1.5%)

regimes1.6s (24.8%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample2.1s (32.2%)

Profiling

Iter	Nodes	Cost
0	10	17
1	21	17
2	48	17
3	129	17
4	231	17
5	425	17
6	500	17
7	515	17
8	534	17
9	535	17
10	504	17