Details

analyze349.0ms (5.7%)

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)

sample1.6s (26.9%)

Results

1.3s	7950×	body	128	valid
160.0ms	904×	body	128	invalid
84.0ms	306×	body	256	valid

Compiler

Compiled 106 to 76 computations (28.3% saved)

simplify261.0ms (4.3%)

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

28.3b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	28.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
	28.4b	(/.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 (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
✓	0.2b	(fma.f64 a (.f64 c -4) (.f64 b b))
✓	0.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
✓	28.2b	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)

series185.0ms (3%)

Counts

4 → 96

Calls

4 calls:

82.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
52.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)
40.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
10.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))

rewrite83.0ms (1.4%)

Algorithm

2×	batch-egg-rewrite

Rules

781×	`prod-diff_binary64`
244×	`log1p-udef_binary64`
165×	`egg-rr`
138×	`add-sqr-sqrt_binary64`
132×	`log1p-expm1-u_binary64`

Counts

4 → 165

Calls

4 calls:

79.0ms	(sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))
79.0ms	(fma.f64 a (.f64 c -4) (.f64 b b))
79.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
79.0ms	(-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b)

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

simplify82.0ms (1.4%)

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

prune230.0ms (3.8%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	218	19	237
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	220	19	239

Error

0.8b

Counts

239 → 19

Alt Table

Status	Error	Program
	28.3b	(.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) 3)) (/.f64 1/2 a))
	5.5b	(.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))
	31.4b	(.f64 (log.f64 (exp.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))) (/.f64 1/2 a))
	5.6b	(.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))
	28.6b	(.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 (.f64 b b) 3)) (+.f64 (.f64 (.f64 a (.f64 c -4)) (.f64 a (.f64 c -4))) (-.f64 (pow.f64 b 4) (.f64 (.f64 a (.f64 c -4)) (*.f64 b b)))))) b) (/.f64 1/2 a))
	27.3b	(.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))
	28.7b	(.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))
	27.3b	(/.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))))))
	27.4b	(.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))
	29.4b	(.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))
▶	5.4b	(-.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))))
	29.4b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (neg.f64 b)) (fma.f64 -1 b b)) (/.f64 1/2 a))
	12.3b	(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	29.6b	(.f64 (+.f64 (fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (cbrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) (neg.f64 b)) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/2 a))
	28.3b	(/.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) 1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	29.6b	(.f64 (+.f64 (fma.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (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))
	27.4b	(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2) (pow.f64 b 3)) (+.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 1/2 a))
	28.7b	(+.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (/.f64 1/2 a)) (.f64 (neg.f64 b) (/.f64 1/2 a)))
	28.5b	(.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))

Compiler

Compiled 7485 to 4439 computations (40.7% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series245.0ms (4%)

Counts

4 → 120

Calls

4 calls:

106.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
91.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
34.0ms	(/.f64 (*.f64 c c) (pow.f64 b 3))
14.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

rewrite74.0ms (1.2%)

Algorithm

2×	batch-egg-rewrite

Rules

357×	`log1p-udef_binary64`
209×	`add-sqr-sqrt_binary64`
208×	`log1p-expm1-u_binary64`
208×	`expm1-log1p-u_binary64`
202×	`add-cbrt-cube_binary64`

Counts

4 → 111

Calls

4 calls:

71.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
71.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
71.0ms	(/.f64 (*.f64 c c) (pow.f64 b 3))
71.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))

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

simplify123.0ms (2%)

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

prune222.0ms (3.7%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	0	18	18
Picked	0	1	1
Done	0	0	0
Total	116	21	137

Error

0.8b

Counts

137 → 21

Alt Table

Status	Error	Program
	28.3b	(.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) 3)) (/.f64 1/2 a))
▶	5.5b	(.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))
	31.4b	(.f64 (log.f64 (exp.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))) (/.f64 1/2 a))
	5.6b	(.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))
	6.1b	(-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (fma.f64 5 (log.f64 (exp.f64 (/.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))))
	28.3b	(/.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) 1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	14.7b	(-.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 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 c c) (pow.f64 b 3))))) a (/.f64 c b))))
	28.6b	(.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 (.f64 b b) 3)) (+.f64 (.f64 (.f64 a (.f64 c -4)) (.f64 a (.f64 c -4))) (-.f64 (pow.f64 b 4) (.f64 (.f64 a (.f64 c -4)) (*.f64 b b)))))) b) (/.f64 1/2 a))
	27.3b	(.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))
	28.7b	(.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))
	27.3b	(/.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))))))
	27.4b	(.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))
	29.4b	(.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))
✓	5.4b	(-.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))))
	29.4b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (neg.f64 b)) (fma.f64 -1 b b)) (/.f64 1/2 a))
	12.3b	(neg.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a (/.f64 c b)))
	29.6b	(.f64 (+.f64 (fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (cbrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) (neg.f64 b)) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/2 a))
	29.6b	(.f64 (+.f64 (fma.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (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))
	27.4b	(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2) (pow.f64 b 3)) (+.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 1/2 a))
	28.7b	(+.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (/.f64 1/2 a)) (.f64 (neg.f64 b) (/.f64 1/2 a)))
	28.5b	(.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))

Compiler

Compiled 6588 to 4142 computations (37.1% saved)

localize29.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series132.0ms (2.2%)

Counts

4 → 60

Calls

4 calls:

78.0ms	(.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))
22.0ms	(*.f64 (pow.f64 c 4) (pow.f64 a 4))
19.0ms	(*.f64 (pow.f64 c 3) (pow.f64 a 3))
12.0ms	(.f64 (.f64 c a) (*.f64 c a))

rewrite43.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

342×	`log1p-expm1-u_binary64`
342×	`expm1-log1p-u_binary64`
329×	`add-cbrt-cube_binary64`
326×	`add-log-exp_binary64`
325×	`add-exp-log_binary64`

Counts

4 → 56

Calls

4 calls:

42.0ms	(.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))
42.0ms	(*.f64 (pow.f64 c 4) (pow.f64 a 4))
42.0ms	(*.f64 (pow.f64 c 3) (pow.f64 a 3))
42.0ms	(.f64 (.f64 c a) (*.f64 c a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	84
1	747	84
2	5054	84
0	0	0
1	0	0

simplify71.0ms (1.2%)

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`
305×	`unswap-sqr_binary64`

Counts

116 → 72

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	1599
1	138	1599
2	457	1555
3	2269	1536
4	4520	1536
5	4957	1536

prune145.0ms (2.4%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	66	6	72
Fresh	1	18	19
Picked	0	1	1
Done	1	0	1
Total	68	25	93

Error

0.7b

Counts

93 → 25

Alt Table

Status	Error	Program
	28.3b	(.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) 3)) (/.f64 1/2 a))
✓	5.5b	(.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))
	31.4b	(.f64 (log.f64 (exp.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))) (/.f64 1/2 a))
	5.6b	(.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))
	6.1b	(-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (fma.f64 5 (log.f64 (exp.f64 (/.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))))
	5.7b	(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))
	28.3b	(/.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) 1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	14.7b	(-.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 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 c c) (pow.f64 b 3))))) a (/.f64 c b))))
	28.6b	(.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 (.f64 b b) 3)) (+.f64 (.f64 (.f64 a (.f64 c -4)) (.f64 a (.f64 c -4))) (-.f64 (pow.f64 b 4) (.f64 (.f64 a (.f64 c -4)) (*.f64 b b)))))) b) (/.f64 1/2 a))
	27.3b	(.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))
	28.7b	(.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))
	27.3b	(/.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))))))
	27.4b	(.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))
	6.2b	(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)
	29.4b	(.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))
	12.4b	(*.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a))))
	28.7b	(+.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (/.f64 1/2 a)) (.f64 (neg.f64 b) (/.f64 1/2 a)))
▶	5.4b	(/.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)
	28.5b	(.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))
	27.9b	(-.f64 (exp.f64 (log1p.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)))) 1)
	29.6b	(.f64 (+.f64 (fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (cbrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) (neg.f64 b)) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/2 a))
	29.6b	(.f64 (+.f64 (fma.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (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))
	27.4b	(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2) (pow.f64 b 3)) (+.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 1/2 a))
	24.0b	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (log.f64 (exp.f64 (pow.f64 (.f64 c a) 2))) (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))
	29.4b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (neg.f64 b)) (fma.f64 -1 b b)) (/.f64 1/2 a))

Compiler

Compiled 5059 to 3275 computations (35.3% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.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)

series114.0ms (1.9%)

Counts

4 → 108

Calls

4 calls:

76.0ms	(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3))
18.0ms	(pow.f64 (*.f64 c a) 4)
13.0ms	(pow.f64 (*.f64 c a) 3)
7.0ms	(pow.f64 (*.f64 c a) 2)

rewrite92.0ms (1.5%)

Algorithm

2×	batch-egg-rewrite

Rules

605×	`log-prod_binary64`
210×	`prod-diff_binary64`
204×	`expm1-udef_binary64`
204×	`log1p-udef_binary64`
192×	`log-pow_binary64`

Counts

4 → 133

Calls

4 calls:

90.0ms	(/.f64 (pow.f64 (*.f64 c a) 2) (pow.f64 b 3))
90.0ms	(pow.f64 (*.f64 c a) 2)
90.0ms	(pow.f64 (*.f64 c a) 3)
90.0ms	(pow.f64 (*.f64 c a) 4)

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

simplify109.0ms (1.8%)

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

prune257.0ms (4.2%)

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	137	2	139
Fresh	0	23	23
Picked	0	1	1
Done	0	1	1
Total	137	27	164

Error

0.7b

Counts

164 → 27

Alt Table

Status	Error	Program
	28.3b	(.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) 3)) (/.f64 1/2 a))
✓	5.5b	(.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))
	5.6b	(.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))
	11.9b	(/.f64 (.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (log.f64 (exp.f64 (/.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)
	31.4b	(.f64 (log.f64 (exp.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b))) (/.f64 1/2 a))
	6.1b	(-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (fma.f64 5 (log.f64 (exp.f64 (/.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))))
	5.7b	(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))
	28.3b	(/.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) 1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	12.6b	(/.f64 (.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (.f64 c a) 2) (pow.f64 b 3)))))) (log.f64 (cbrt.f64 (exp.f64 (/.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)
	14.7b	(-.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 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 c c) (pow.f64 b 3))))) a (/.f64 c b))))
	28.6b	(.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (.f64 c -4)) 3) (pow.f64 (.f64 b b) 3)) (+.f64 (.f64 (.f64 a (.f64 c -4)) (.f64 a (.f64 c -4))) (-.f64 (pow.f64 b 4) (.f64 (.f64 a (.f64 c -4)) (*.f64 b b)))))) b) (/.f64 1/2 a))
	27.3b	(.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))
	28.7b	(.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))
	27.3b	(/.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))))))
	27.4b	(.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))
	6.2b	(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)
	29.4b	(.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))
	12.4b	(*.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a))))
	28.7b	(+.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (/.f64 1/2 a)) (.f64 (neg.f64 b) (/.f64 1/2 a)))
✓	5.4b	(/.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)
	28.5b	(.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))
	27.9b	(-.f64 (exp.f64 (log1p.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)))) 1)
	29.6b	(.f64 (+.f64 (fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (cbrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) (neg.f64 b)) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/2 a))
	29.6b	(.f64 (+.f64 (fma.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) (cbrt.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (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))
	27.4b	(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 a (.f64 c -4) (.f64 b b)) 3/2) (pow.f64 b 3)) (+.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 1/2 a))
	24.0b	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (log.f64 (exp.f64 (pow.f64 (.f64 c a) 2))) (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))
	29.4b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) (neg.f64 b)) (fma.f64 -1 b b)) (/.f64 1/2 a))

Compiler

Compiled 7778 to 4751 computations (38.9% saved)

regimes868.0ms (14.3%)

Accuracy

Total 4.6b remaining (88.6%)

Threshold costs 0b (0%)

Counts

109 → 2

Compiler

Compiled 13920 to 9478 computations (31.9% saved)

bsearch5.0ms (0.1%)

Compiler: Compiled 20 to 14 computations (30% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
12×	`+-commutative_binary64`
10×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	132
1	80	130
2	103	130
3	116	130
4	124	130
5	126	130
6	124	130

end645.0ms (10.6%)

Compiler: Compiled 1283 to 857 computations (33.2% saved)

Details

analyze349.0ms (5.7%)

sample1.6s (26.9%)

simplify261.0ms (4.3%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

series185.0ms (3%)

rewrite83.0ms (1.4%)

simplify82.0ms (1.4%)

prune230.0ms (3.8%)

localize25.0ms (0.4%)

series245.0ms (4%)

rewrite74.0ms (1.2%)

simplify123.0ms (2%)

prune222.0ms (3.7%)

localize29.0ms (0.5%)

series132.0ms (2.2%)

rewrite43.0ms (0.7%)

simplify71.0ms (1.2%)

prune145.0ms (2.4%)

localize24.0ms (0.4%)

series114.0ms (1.9%)

rewrite92.0ms (1.5%)

simplify109.0ms (1.8%)

prune257.0ms (4.2%)

regimes868.0ms (14.3%)

bsearch5.0ms (0.1%)

simplify6.0ms (0.1%)

end645.0ms (10.6%)

Profiling