Details

analyze352.0ms (5.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 43 to 31 computations (27.9% saved)

sample2.5s (40.4%)

Results

1.3s	3906×	body	256	valid
636.0ms	1499×	body	512	valid
432.0ms	2851×	body	128	valid
118.0ms	832×	body	128	invalid

Compiler

Compiled 106 to 76 computations (28.3% saved)

simplify255.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1743×	`fma-neg_binary64`
1393×	`fma-def_binary64`
800×	`div-sub_binary64`
619×	`times-frac_binary64`
473×	`associate-/r/_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	33	22
2	67	22
3	138	22
4	204	22
5	338	22
6	558	22
7	924	22
8	1388	22
9	1604	22
10	2375	22
11	2742	22
12	2533	22
13	2621	22
14	3171	22
15	3313	22
16	3873	22
17	3679	22
18	4029	22
19	4317	22
20	4485	22
21	4561	22
22	4805	22
23	4793	22
24	4797	22
25	4797	22
26	4948	22

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

52.9b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	52.9b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
	52.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

Compiler

Compiled 111 to 74 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
✓	0.1b	(fma.f64 a (.f64 c -4) (.f64 b b))
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
✓	24.9b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)

series247.0ms (3.9%)

Counts

4 → 96

Calls

4 calls:

113.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
83.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
42.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
9.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))

rewrite82.0ms (1.3%)

Algorithm

2×	batch-egg-rewrite

Rules

165× egg-rr

Counts

4 → 165

Calls

2 calls:

77.0ms

((-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a)) (fma.f64 a (*.f64 c -4) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))))

0.0ms

()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	279	62
2	3385	62
3	5102	62
0	0	0
1	0	0

simplify80.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

742×	`times-frac_binary64`
467×	`associate-/l*_binary64`
436×	`fma-def_binary64`
432×	`fma-neg_binary64`
426×	`associate-/r*_binary64`

Counts

261 → 237

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	2241
1	398	2164
2	1327	2078
3	4954	2078
4	5218	2078

prune170.0ms (2.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	225	12	237
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	227	12	239

Error

0.1b

Counts

239 → 12

Alt Table

Status	Error	Program
	52.7b	(.f64 (/.f64 1 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)))) (/.f64 1/2 a))
	52.1b	(.f64 (+.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/2 a))
	53.1b	(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (sqrt.f64 b))) (/.f64 1/2 a))
▶	1.5b	(-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (fma.f64 5 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	52.9b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)) 3) (/.f64 1/2 a))
	52.0b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 1 (neg.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (/.f64 1/2 a))
	52.5b	(.f64 (/.f64 1 (/.f64 (+.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2) (pow.f64 b 3)))) (/.f64 1/2 a))
	52.7b	(/.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (.f64 (.f64 a 2) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))))))
	52.0b	(.f64 (fma.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) (neg.f64 b)) (/.f64 1/2 a))
	1.8b	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)))) (fma.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))) (/.f64 1/2 a))
	1.9b	(.f64 (neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))) (/.f64 1/2 a))
	52.9b	(pow.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))) 3)

Compiler

Compiled 7009 to 4139 computations (40.9% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
✓	0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
✓	0.4b	(/.f64 (*.f64 c c) (pow.f64 b 3))
✓	0.4b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))

series403.0ms (6.4%)

Counts

4 → 120

Calls

4 calls:

177.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
108.0ms	(/.f64 (*.f64 c c) (pow.f64 b 3))
104.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
14.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

rewrite72.0ms (1.1%)

Algorithm

2×	batch-egg-rewrite

Rules

111× egg-rr

Counts

4 → 111

Calls

2 calls:

70.0ms	((/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 (.f64 a a) (pow.f64 c 3)) (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	52
1	463	52
2	4548	52
3	5315	52
0	0	0
1	0	0

simplify115.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

656×	`associate-l_binary64`
586×	`associate-/r*_binary64`
574×	`associate-r_binary64`
296×	`sqr-pow_binary64`
268×	`associate-/l/_binary64`

Counts

231 → 118

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	1632
1	61	1632
2	191	1632
3	885	1632
4	4139	1632
5	4226	1632
6	4425	1632
7	4760	1632
8	5007	1632

prune197.0ms (3.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	118	12	130

Error

0.1b

Counts

130 → 12

Alt Table

Status	Error	Program
	52.7b	(.f64 (/.f64 1 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)))) (/.f64 1/2 a))
	52.1b	(.f64 (+.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/2 a))
	53.1b	(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (sqrt.f64 b))) (/.f64 1/2 a))
✓	1.5b	(-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (fma.f64 5 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	52.9b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)) 3) (/.f64 1/2 a))
	52.0b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 1 (neg.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (/.f64 1/2 a))
	52.5b	(.f64 (/.f64 1 (/.f64 (+.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2) (pow.f64 b 3)))) (/.f64 1/2 a))
	52.7b	(/.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (.f64 (.f64 a 2) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))))))
	52.0b	(.f64 (fma.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) (neg.f64 b)) (/.f64 1/2 a))
▶	1.8b	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)))) (fma.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))) (/.f64 1/2 a))
	1.9b	(.f64 (neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))) (/.f64 1/2 a))
	52.9b	(pow.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))) 3)

Compiler

Compiled 5932 to 3714 computations (37.4% saved)

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (.f64 (.f64 c a) (*.f64 c a)) (pow.f64 b 3))
✓	0.4b	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)))) (fma.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))) (/.f64 1/2 a))
✓	0.4b	(*.f64 (pow.f64 c 3) (pow.f64 a 3))
✓	0.5b	(.f64 (.f64 c a) (*.f64 c a))

series191.0ms (3%)

Counts

4 → 96

Calls

4 calls:

83.0ms	(/.f64 (.f64 (.f64 c a) (*.f64 c a)) (pow.f64 b 3))
77.0ms	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b 3)))) (fma.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))) (/.f64 1/2 a))
18.0ms	(*.f64 (pow.f64 c 3) (pow.f64 a 3))
12.0ms	(.f64 (.f64 c a) (*.f64 c a))

rewrite42.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

57× egg-rr

Counts

4 → 57

Calls

2 calls:

41.0ms

((*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (*.f64 (-.f64 (*.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)))) (fma.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (*.f64 10 (/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))))) (/.f64 1/2 a)) (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (pow.f64 b 3)))

0.0ms

()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	90
1	747	90
2	5054	90
0	0	0
1	0	0

simplify82.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-neg_binary64`
344×	`distribute-rgt-neg-in_binary64`
341×	`distribute-lft-neg-in_binary64`
335×	`neg-mul-1_binary64`
323×	`unswap-sqr_binary64`

Counts

153 → 75

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	2175
1	141	2175
2	489	2131
3	2472	2131
4	4720	2131
5	5153	2131

prune123.0ms (2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	0	10	10
Picked	1	0	1
Done	0	1	1
Total	73	14	87

Error

0.1b

Counts

87 → 14

Alt Table

Status	Error	Program
	52.7b	(.f64 (/.f64 1 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)))) (/.f64 1/2 a))
	52.1b	(.f64 (+.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/2 a))
	53.1b	(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (sqrt.f64 b))) (/.f64 1/2 a))
✓	1.5b	(-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (fma.f64 5 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	2.2b	(cbrt.f64 (pow.f64 (.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)))) (fma.f64 4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 10 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7))))) (/.f64 1/2 a)) 3))
	52.7b	(/.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (.f64 (.f64 a 2) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))))))
	52.9b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)) 3) (/.f64 1/2 a))
	52.0b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 1 (neg.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (/.f64 1/2 a))
	52.5b	(.f64 (/.f64 1 (/.f64 (+.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2) (pow.f64 b 3)))) (/.f64 1/2 a))
	2.9b	(pow.f64 (cbrt.f64 (.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)))) (fma.f64 4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 10 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7))))) (/.f64 1/2 a))) 3)
▶	1.6b	(/.f64 (.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)))) (fma.f64 4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 10 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7))))) 1/2) a)
	52.0b	(.f64 (fma.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) (neg.f64 b)) (/.f64 1/2 a))
	1.9b	(.f64 (neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))) (/.f64 1/2 a))
	52.9b	(pow.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))) 3)

Compiler

Compiled 4354 to 2885 computations (33.7% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3))
✓	0.5b	(pow.f64 (*.f64 c a) 2)
✓	0.7b	(pow.f64 (*.f64 c a) 3)
✓	0.9b	(pow.f64 (*.f64 c a) 4)

series112.0ms (1.8%)

Counts

4 → 108

Calls

4 calls:

76.0ms	(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3))
16.0ms	(pow.f64 (*.f64 c a) 4)
12.0ms	(pow.f64 (*.f64 c a) 3)
8.0ms	(pow.f64 (*.f64 c a) 2)

rewrite88.0ms (1.4%)

Algorithm

2×	batch-egg-rewrite

Rules

133× egg-rr

Counts

4 → 133

Calls

2 calls:

86.0ms	((pow.f64 (.f64 c a) 4) (pow.f64 (.f64 c a) 3) (pow.f64 (.f64 c a) 2) (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	282	34
2	2854	34
3	4950	34
4	5190	34
0	0	0
1	0	0

simplify105.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1459×	`associate-*l/_binary64`
620×	`times-frac_binary64`
460×	`associate-/l*_binary64`
320×	`unswap-sqr_binary64`
299×	`sqr-pow_binary64`

Counts

241 → 139

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	18	1296
1	49	1296
2	155	1296
3	677	1296
4	2717	1152
5	2782	1152
6	2901	972
7	3067	972
8	3219	972
9	3404	972
10	5474	972

prune230.0ms (3.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	139	14	153

Error

0.1b

Counts

153 → 14

Alt Table

Status	Error	Program
	52.7b	(.f64 (/.f64 1 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)))) (/.f64 1/2 a))
	52.1b	(.f64 (+.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/2 a))
	53.1b	(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (sqrt.f64 b))) (/.f64 1/2 a))
✓	1.5b	(-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (fma.f64 5 (/.f64 (.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7)) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b))))
	2.2b	(cbrt.f64 (pow.f64 (.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)))) (fma.f64 4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 10 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7))))) (/.f64 1/2 a)) 3))
	52.7b	(/.f64 (-.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b b)) (.f64 (.f64 a 2) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))))))
	52.9b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b)) 3) (/.f64 1/2 a))
	52.0b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 1 (neg.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 b 4))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 b 4)))))) (/.f64 1/2 a))
	52.5b	(.f64 (/.f64 1 (/.f64 (+.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) (.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2) (pow.f64 b 3)))) (/.f64 1/2 a))
	2.9b	(pow.f64 (cbrt.f64 (.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)))) (fma.f64 4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 10 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7))))) (/.f64 1/2 a))) 3)
✓	1.6b	(/.f64 (.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)))) (fma.f64 4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (.f64 10 (/.f64 (pow.f64 (.f64 c a) 4) (pow.f64 b 7))))) 1/2) a)
	52.0b	(.f64 (fma.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 1/4) (pow.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)) 1/4) (neg.f64 b)) (/.f64 1/2 a))
	1.9b	(.f64 (neg.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 10 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))) (/.f64 1/2 a))
	52.9b	(pow.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))) 3)

Compiler

Compiled 7216 to 4371 computations (39.4% saved)

regimes374.0ms (6%)

Accuracy

Total 1.3b remaining (88.3%)

Threshold costs 0b (0%)

Counts

78 → 1

Compiler

Compiled 9376 to 6422 computations (31.5% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	57
1	32	57
2	37	57
3	39	57
4	40	57
5	40	57

end334.0ms (5.3%)

Compiler: Compiled 623 to 421 computations (32.4% saved)

Details

analyze352.0ms (5.6%)

sample2.5s (40.4%)

simplify255.0ms (4.1%)

prune4.0ms (0.1%)

localize9.0ms (0.1%)

series247.0ms (3.9%)

rewrite82.0ms (1.3%)

simplify80.0ms (1.3%)

prune170.0ms (2.7%)

localize23.0ms (0.4%)

series403.0ms (6.4%)

rewrite72.0ms (1.1%)

simplify115.0ms (1.8%)

prune197.0ms (3.1%)

localize27.0ms (0.4%)

series191.0ms (3%)

rewrite42.0ms (0.7%)

simplify82.0ms (1.3%)

prune123.0ms (2%)

localize24.0ms (0.4%)

series112.0ms (1.8%)

rewrite88.0ms (1.4%)

simplify105.0ms (1.7%)

prune230.0ms (3.7%)

regimes374.0ms (6%)

simplify3.0ms (0%)

end334.0ms (5.3%)

Profiling