Details

analyze239.0ms (3.9%)

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
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 32 to 20 computations (37.5% saved)

sample29.0ms (0.5%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 65 to 41 computations (36.9% saved)

simplify77.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

620×	`fma-def_binary64`
556×	`cancel-sign-sub-inv_binary64`
552×	`unswap-sqr_binary64`
357×	`unsub-neg_binary64`
344×	`+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	57	37
2	168	37
3	492	37
4	1604	33
5	2891	33
6	4309	33
7	5214	33

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 2

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) -1))
	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Status

Error

Program

▶

0.0b

(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1))

0.2b

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Compiler

Compiled 137 to 89 computations (35% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (hypot.f64 a b) 4)
0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) -1))
0.1b	(fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3)))
0.6b	(.f64 (.f64 b b) (+.f64 a 3))

rewrite229.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`add-cube-cbrt_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`pow1_binary64`
15×	`add-exp-log_binary64`
14×	`add-cbrt-cube_binary64`

Counts

4 → 162

Calls

4 calls:

19.0ms	(.f64 (.f64 b b) (+.f64 a 3))
14.0ms	(fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3)))
13.0ms	(pow.f64 (hypot.f64 a b) 4)
12.0ms	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) -1))

Compiler

Compiled 4540 to 2497 computations (45% saved)

series209.0ms (3.4%)

Error

0.0b

Counts

4 → 56

Calls

4 calls:

71.0ms	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) -1))
63.0ms	(pow.f64 (hypot.f64 a b) 4)
22.0ms	(fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3)))
19.0ms	(.f64 (.f64 b b) (+.f64 a 3))

Compiler

Compiled 2856 to 2144 computations (24.9% saved)

simplify114.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

513×	`cancel-sign-sub-inv_binary64`
392×	`fma-neg_binary64`
344×	`unswap-sqr_binary64`
225×	`times-frac_binary64`
209×	`associate-l_binary64`

Counts

218 → 136

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	225	4252
1	645	3960
2	2560	3913
3	4987	3913

prune122.0ms (2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	131	5	136
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	133	5	138

Error

Counts

138 → 5

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 (pow.f64 (hypot.f64 a b) 4)) -1)
	10.4b	(-.f64 (/.f64 (pow.f64 (hypot.f64 a b) 8) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1))) (/.f64 (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1) (+.f64 (/.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1)) -1)))
	0.1b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (.f64 (.f64 (cbrt.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3))) (cbrt.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)))) (cbrt.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)))) -1))
	12.5b	(-.f64 (fma.f64 (*.f64 a a) 4 (pow.f64 a 4)) (fma.f64 (pow.f64 a 3) 4 1))
	0.2b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) -1))

Compiler

Compiled 3334 to 1964 computations (41.1% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (hypot.f64 a b) 4)
0.0b	(-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3))
0.1b	(fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 (pow.f64 (hypot.f64 a b) 4))
0.6b	(.f64 (+.f64 3 a) (.f64 b b))

rewrite287.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

33×	`add-cube-cbrt_binary64`
20×	`add-sqr-sqrt_binary64`
16×	`pow1_binary64`
15×	`add-exp-log_binary64`
14×	`add-cbrt-cube_binary64`

Counts

4 → 162

Calls

4 calls:

20.0ms	(.f64 (+.f64 3 a) (.f64 b b))
18.0ms	(-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3))
11.0ms	(pow.f64 (hypot.f64 a b) 4)
9.0ms	(fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 (pow.f64 (hypot.f64 a b) 4))

Compiler

Compiled 5092 to 2921 computations (42.6% saved)

series210.0ms (3.4%)

Error

Counts

4 → 58

Calls

4 calls:

60.0ms	(fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 (pow.f64 (hypot.f64 a b) 4))
60.0ms	(pow.f64 (hypot.f64 a b) 4)
22.0ms	(-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3))
18.0ms	(.f64 (+.f64 3 a) (.f64 b b))

Compiler

Compiled 2880 to 2178 computations (24.4% saved)

simplify116.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

599×	`unswap-sqr_binary64`
536×	`cancel-sign-sub-inv_binary64`
308×	`fma-neg_binary64`
178×	`associate-r_binary64`
169×	`fma-def_binary64`

Counts

220 → 136

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	234	4247
1	604	4036
2	2280	3889
3	5032	3889

prune172.0ms (2.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	136	5	141

Error

Counts

141 → 5

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 (pow.f64 (hypot.f64 a b) 4)) -1)
	10.4b	(-.f64 (/.f64 (pow.f64 (hypot.f64 a b) 8) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1))) (/.f64 (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1) (+.f64 (/.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1)) -1)))
▶	0.1b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (.f64 (.f64 (cbrt.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3))) (cbrt.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)))) (cbrt.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)))) -1))
	0.2b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) -1))
	0.2b	(+.f64 (.f64 (sqrt.f64 (fma.f64 4 (-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3)) (pow.f64 (hypot.f64 a b) 4))) (sqrt.f64 (fma.f64 4 (-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (*.f64 a a)) (pow.f64 a 3)) (pow.f64 (hypot.f64 a b) 4)))) -1)

Compiler

Compiled 3472 to 2004 computations (42.3% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (+.f64 3 a) (.f64 b b))
7.5b	(cbrt.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)))
7.5b	(cbrt.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)))
7.5b	(cbrt.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)))

rewrite345.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`add-cube-cbrt_binary64`
18×	`add-sqr-sqrt_binary64`
15×	`cbrt-div_binary64`
15×	`flip3--_binary64`
14×	`add-exp-log_binary64`

Counts

4 → 147

Calls

4 calls:

23.0ms	(.f64 (+.f64 3 a) (.f64 b b))
14.0ms	(cbrt.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)))
12.0ms	(cbrt.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)))
12.0ms	(cbrt.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)))

Compiler

Compiled 7715 to 4522 computations (41.4% saved)

series206.0ms (3.3%)

Error

Counts

4 → 35

Calls

4 calls:

38.0ms	(cbrt.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)))
36.0ms	(cbrt.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)))
35.0ms	(cbrt.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)))
24.0ms	(.f64 (+.f64 3 a) (.f64 b b))

Compiler

Compiled 5372 to 3670 computations (31.7% saved)

simplify167.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

817×	`prod-exp_binary64`
374×	`fma-neg_binary64`
303×	`fma-def_binary64`
267×	`distribute-rgt-in_binary64`
261×	`unswap-sqr_binary64`

Counts

182 → 120

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	3918
1	379	3782
2	1134	3530
3	3652	3503
4	4488	3503
5	6163	3503

prune243.0ms (3.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	120	5	125

Error

Counts

125 → 5

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 (pow.f64 (hypot.f64 a b) 4)) -1)
	10.4b	(-.f64 (/.f64 (pow.f64 (hypot.f64 a b) 8) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1))) (/.f64 (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1) (+.f64 (/.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1)) -1)))
✓	0.1b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (.f64 (.f64 (cbrt.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3))) (cbrt.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)))) (cbrt.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)))) -1))
	0.2b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) -1))
▶	0.2b	(+.f64 (.f64 (sqrt.f64 (fma.f64 4 (-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3)) (pow.f64 (hypot.f64 a b) 4))) (sqrt.f64 (fma.f64 4 (-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (*.f64 a a)) (pow.f64 a 3)) (pow.f64 (hypot.f64 a b) 4)))) -1)

Compiler

Compiled 7133 to 4080 computations (42.8% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a))
0.3b	(.f64 (sqrt.f64 (fma.f64 4 (-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3)) (pow.f64 (hypot.f64 a b) 4))) (sqrt.f64 (fma.f64 4 (-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (*.f64 a a)) (pow.f64 a 3)) (pow.f64 (hypot.f64 a b) 4))))
7.0b	(sqrt.f64 (fma.f64 4 (-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3)) (pow.f64 (hypot.f64 a b) 4)))
7.0b	(sqrt.f64 (fma.f64 4 (-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3)) (pow.f64 (hypot.f64 a b) 4)))

rewrite330.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64`
23×	`pow1/2_binary64`
15×	`rem-sqrt-square_binary64`
14×	`pow1_binary64`

Counts

4 → 154

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (fma.f64 4 (-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3)) (pow.f64 (hypot.f64 a b) 4))) (sqrt.f64 (fma.f64 4 (-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (*.f64 a a)) (pow.f64 a 3)) (pow.f64 (hypot.f64 a b) 4))))
12.0ms	(fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a))
11.0ms	(sqrt.f64 (fma.f64 4 (-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3)) (pow.f64 (hypot.f64 a b) 4)))
10.0ms	(sqrt.f64 (fma.f64 4 (-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3)) (pow.f64 (hypot.f64 a b) 4)))

Compiler

Compiled 6787 to 3693 computations (45.6% saved)

series326.0ms (5.3%)

Error

Counts

4 → 68

Calls

4 calls:

81.0ms	(sqrt.f64 (fma.f64 4 (-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3)) (pow.f64 (hypot.f64 a b) 4)))
81.0ms	(sqrt.f64 (fma.f64 4 (-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3)) (pow.f64 (hypot.f64 a b) 4)))
62.0ms	(.f64 (sqrt.f64 (fma.f64 4 (-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3)) (pow.f64 (hypot.f64 a b) 4))) (sqrt.f64 (fma.f64 4 (-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (*.f64 a a)) (pow.f64 a 3)) (pow.f64 (hypot.f64 a b) 4))))
24.0ms	(fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a))

Compiler

Compiled 6913 to 5202 computations (24.8% saved)

simplify235.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

359×	`cancel-sign-sub-inv_binary64`
356×	`distribute-rgt-in_binary64`
340×	`distribute-lft-in_binary64`
266×	`fma-neg_binary64`
213×	`fma-def_binary64`

Counts

222 → 148

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	216	6229
1	586	5766
2	2063	5507
3	4706	5466
4	4963	5466
5	4997	5466
6	4963	5466

prune209.0ms (3.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	148	5	153

Error

Counts

153 → 5

Alt Table

Status	Error	Program
	0.0b	(+.f64 (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 (pow.f64 (hypot.f64 a b) 4)) -1)
	10.4b	(-.f64 (/.f64 (pow.f64 (hypot.f64 a b) 8) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1))) (/.f64 (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1) (+.f64 (/.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1)) -1)))
	0.1b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (.f64 (.f64 (cbrt.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3))) (cbrt.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)))) (cbrt.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)))) -1))
	0.2b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) -1))
	0.2b	(+.f64 (.f64 (sqrt.f64 (fma.f64 4 (-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3)) (pow.f64 (hypot.f64 a b) 4))) (sqrt.f64 (fma.f64 4 (-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (*.f64 a a)) (pow.f64 a 3)) (pow.f64 (hypot.f64 a b) 4)))) -1)

Compiler

Compiled 5236 to 3082 computations (41.1% saved)

regimes1.2s (20.2%)

Accuracy

Total 0.0b remaining (67.9%)

Threshold costs 0.0b (67.9%)

Compiler

Compiled 34112 to 22936 computations (32.8% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
9×	`*-commutative_binary64`
3×	`sub-neg_binary64`
2×	`distribute-lft-neg-in_binary64`
2×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	67
1	46	67
2	53	67
3	57	67
4	60	67
5	61	67
6	60	67

end1.0ms (0%)

Compiler: Compiled 47 to 38 computations (19.1% saved)

sample976.0ms (15.8%)

Algorithm

1×

intervals

Results

597.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 317 to 207 computations (34.7% saved)

Details

analyze239.0ms (3.9%)

sample29.0ms (0.5%)

simplify77.0ms (1.3%)

prune5.0ms (0.1%)

localize14.0ms (0.2%)

rewrite229.0ms (3.7%)

series209.0ms (3.4%)

simplify114.0ms (1.8%)

prune122.0ms (2%)

localize19.0ms (0.3%)

rewrite287.0ms (4.6%)

series210.0ms (3.4%)

simplify116.0ms (1.9%)

prune172.0ms (2.8%)

localize21.0ms (0.3%)

rewrite345.0ms (5.6%)

series206.0ms (3.3%)

simplify167.0ms (2.7%)

prune243.0ms (3.9%)

localize18.0ms (0.3%)

rewrite330.0ms (5.3%)

series326.0ms (5.3%)

simplify235.0ms (3.8%)

prune209.0ms (3.4%)

regimes1.2s (20.2%)

simplify7.0ms (0.1%)

end1.0ms (0%)

sample976.0ms (15.8%)

Profiling