Details

analyze342.0ms (7.5%)

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)

sample1.7s (38%)

Results

786.0ms	2995×	body	256	valid
757.0ms	5259×	body	128	valid
128.0ms	931×	body	128	invalid
1.0ms	2×	body	512	valid

Compiler

Compiled 106 to 76 computations (28.3% saved)

simplify28.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

763×	`fma-neg_binary64`
619×	`times-frac_binary64`
367×	`fma-def_binary64`
242×	`distribute-rgt-in_binary64`
239×	`div-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	33	22
2	72	22
3	163	22
4	267	22
5	436	22
6	747	22
7	1335	22
8	2689	22
9	4086	22

Stop Event

1×	node limit

Counts

1 → 2

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

44.3b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	44.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
	44.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

Compiler

Compiled 111 to 75 computations (32.4% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))
✓	0.3b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
✓	40.0b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b)

series104.0ms (2.3%)

Counts

3 → 60

Calls

3 calls:

48.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
31.0ms	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b)
25.0ms	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))

rewrite65.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`prod-diff_binary64`
139×	`add-sqr-sqrt_binary64`
132×	`log1p-expm1-u_binary64`
132×	`expm1-log1p-u_binary64`
131×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	281	48
2	3626	48

Stop Event

1×	node limit

Counts

3 → 130

Calls

3 calls:

62.0ms	(sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))
62.0ms	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
62.0ms	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4)))) b)

simplify40.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

728×	`times-frac_binary64`
467×	`associate-/l*_binary64`
417×	`fma-def_binary64`
407×	`associate-/r*_binary64`
136×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	1839
1	396	1816
2	1389	1730

Stop Event

1×	node limit

Counts

190 → 198

prune127.0ms (2.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	189	9	198
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	190	10	200

Error

0.5b

Counts

200 → 10

Alt Table

Status	Error	Program
	44.0b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (neg.f64 b)) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/2 a))
	3.3b	(.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))
	11.7b	(/.f64 (neg.f64 c) b)
	43.7b	(.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 1/4) (neg.f64 b)) (/.f64 1/2 a))
	3.2b	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (.f64 c a))))) (fma.f64 4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (.f64 10 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4))))) (/.f64 1/2 a))
	44.3b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (neg.f64 b)) (fma.f64 -1 b b)) (/.f64 1/2 a))
	44.2b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) (neg.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (cbrt.f64 (.f64 b b)) b)) (/.f64 1/2 a))
✓	44.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
▶	3.0b	(-.f64 (.f64 -2 (/.f64 a (/.f64 (pow.f64 b 5) (.f64 a (pow.f64 c 3))))) (fma.f64 5 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))))
	44.8b	(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (sqrt.f64 b))) (/.f64 1/2 a))

Compiler

Compiled 5550 to 3475 computations (37.4% saved)

localize31.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

series200.0ms (4.4%)

Counts

4 → 96

Calls

4 calls:

81.0ms	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
73.0ms	(/.f64 (pow.f64 b 5) (*.f64 a (pow.f64 c 3)))
36.0ms	(/.f64 (pow.f64 c 4) (pow.f64 b 7))
10.0ms	(*.f64 a (pow.f64 c 3))

rewrite62.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

299×	`log1p-udef_binary64`
173×	`add-sqr-sqrt_binary64`
171×	`log1p-expm1-u_binary64`
171×	`expm1-log1p-u_binary64`
164×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	46
1	376	46
2	4627	46

Stop Event

1×	node limit

Counts

4 → 113

Calls

4 calls:

60.0ms	(*.f64 a (pow.f64 c 3))
60.0ms	(*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))
60.0ms	(/.f64 (pow.f64 c 4) (pow.f64 b 7))
60.0ms	(/.f64 (pow.f64 b 5) (*.f64 a (pow.f64 c 3)))

simplify46.0ms (1%)

Algorithm

1×	egg-herbie

Rules

745×	`times-frac_binary64`
611×	`unswap-sqr_binary64`
519×	`associate-/l*_binary64`
323×	`associate-/r*_binary64`
222×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	1212
1	47	1212
2	149	1212
3	645	1212
4	4219	1212

Stop Event

1×	node limit

Counts

209 → 117

prune192.0ms (4.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	117	10	127

Error

0.5b

Counts

127 → 10

Alt Table

Status	Error	Program
	44.0b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (neg.f64 b)) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/2 a))
	3.3b	(.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))
	11.7b	(/.f64 (neg.f64 c) b)
	43.7b	(.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 1/4) (neg.f64 b)) (/.f64 1/2 a))
▶	3.2b	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (.f64 c a))))) (fma.f64 4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (.f64 10 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4))))) (/.f64 1/2 a))
	44.3b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (neg.f64 b)) (fma.f64 -1 b b)) (/.f64 1/2 a))
	44.2b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) (neg.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (cbrt.f64 (.f64 b b)) b)) (/.f64 1/2 a))
✓	44.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
✓	3.0b	(-.f64 (.f64 -2 (/.f64 a (/.f64 (pow.f64 b 5) (.f64 a (pow.f64 c 3))))) (fma.f64 5 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))))
	44.8b	(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (sqrt.f64 b))) (/.f64 1/2 a))

Compiler

Compiled 5678 to 3745 computations (34% saved)

localize26.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

series167.0ms (3.7%)

Counts

3 → 72

Calls

3 calls:

75.0ms	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))
59.0ms	(/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (.f64 c a)))
32.0ms	(/.f64 (pow.f64 a 3) (pow.f64 b 5))

rewrite66.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

274×	`log1p-udef_binary64`
159×	`add-sqr-sqrt_binary64`
152×	`log1p-expm1-u_binary64`
152×	`expm1-log1p-u_binary64`
149×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	42
1	334	36
2	4628	36

Stop Event

1×	node limit

Counts

3 → 118

Calls

3 calls:

64.0ms	(*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3))
64.0ms	(/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (.f64 c a)))
64.0ms	(/.f64 (pow.f64 a 3) (pow.f64 b 5))

simplify33.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

636×	`associate-/r*_binary64`
578×	`associate-l_binary64`
511×	`associate-r_binary64`
355×	`associate-/l/_binary64`
318×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	1152
1	51	1152
2	179	1152
3	1056	1152

Stop Event

1×	node limit

Counts

190 → 122

prune258.0ms (5.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	154	1	155
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	155	10	165

Error

0.5b

Counts

165 → 10

Alt Table

Status	Error	Program
	44.0b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (neg.f64 b)) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/2 a))
▶	3.3b	(.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))
✓	3.2b	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (/.f64 (.f64 c a) (/.f64 (pow.f64 b 3) (.f64 c a))))) (fma.f64 4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (.f64 10 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4))))) (/.f64 1/2 a))
	44.3b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (neg.f64 b)) (fma.f64 -1 b b)) (/.f64 1/2 a))
	44.2b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) (neg.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (cbrt.f64 (.f64 b b)) b)) (/.f64 1/2 a))
✓	44.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
✓	3.0b	(-.f64 (.f64 -2 (/.f64 a (/.f64 (pow.f64 b 5) (.f64 a (pow.f64 c 3))))) (fma.f64 5 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))))
	7.1b	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (log.f64 (exp.f64 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3)))))) (fma.f64 4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (.f64 10 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4))))) (/.f64 1/2 a))
	43.7b	(.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 1/4) (neg.f64 b)) (/.f64 1/2 a))
	44.8b	(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (sqrt.f64 b))) (/.f64 1/2 a))

Compiler

Compiled 8865 to 5740 computations (35.3% saved)

localize32.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (pow.f64 c 2) (pow.f64 a 2))
✓	0.3b	(.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))
✓	0.3b	(*.f64 (pow.f64 c 4) (pow.f64 a 4))
✓	0.4b	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))

series165.0ms (3.6%)

Counts

4 → 36

Calls

4 calls:

82.0ms	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))
58.0ms	(.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))
16.0ms	(*.f64 (pow.f64 c 4) (pow.f64 a 4))
9.0ms	(*.f64 (pow.f64 c 2) (pow.f64 a 2))

rewrite41.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

405×	`log1p-expm1-u_binary64`
405×	`expm1-log1p-u_binary64`
378×	`add-log-exp_binary64`
370×	`pow1_binary64`
133×	`unpow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	93
1	892	93

Stop Event

1×	node limit

Counts

4 → 62

Calls

4 calls:

40.0ms	(*.f64 (pow.f64 c 2) (pow.f64 a 2))
40.0ms	(.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))
40.0ms	(*.f64 (pow.f64 c 4) (pow.f64 a 4))
40.0ms	(/.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 7))

simplify39.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-neg_binary64`
338×	`distribute-lft-neg-in_binary64`
337×	`distribute-rgt-neg-in_binary64`
285×	`unswap-sqr_binary64`
215×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	1359
1	138	1359
2	465	1315
3	2657	1315

Stop Event

1×	node limit

Counts

98 → 76

prune119.0ms (2.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	0	6	6
Picked	0	1	1
Done	1	2	3
Total	74	12	86

Error

0.4b

Counts

86 → 12

Alt Table

Status	Error	Program
	44.0b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (neg.f64 b)) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b)) (/.f64 1/2 a))
✓	3.3b	(.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))
	7.1b	(.f64 (-.f64 (.f64 -2 (fma.f64 (/.f64 c b) a (log.f64 (exp.f64 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3)))))) (fma.f64 4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (.f64 10 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 4))))) (/.f64 1/2 a))
	4.1b	(pow.f64 (cbrt.f64 (.f64 (neg.f64 (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (.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 (.f64 10 (pow.f64 (*.f64 c a) 4)) (pow.f64 b 7)))))) (/.f64 1/2 a))) 3)
	3.2b	(/.f64 (.f64 (neg.f64 (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (.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 (.f64 10 (pow.f64 (*.f64 c a) 4)) (pow.f64 b 7)))))) 1/2) a)
	43.7b	(.f64 (fma.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (pow.f64 (fma.f64 b b (.f64 a (*.f64 c -4))) 1/4) (neg.f64 b)) (/.f64 1/2 a))
	44.2b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) (neg.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (cbrt.f64 (.f64 b b)) b)) (/.f64 1/2 a))
✓	44.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4)))) b) (/.f64 1/2 a))
✓	3.0b	(-.f64 (.f64 -2 (/.f64 a (/.f64 (pow.f64 b 5) (.f64 a (pow.f64 c 3))))) (fma.f64 5 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))))
	3.5b	(cbrt.f64 (pow.f64 (.f64 (neg.f64 (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (.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 (.f64 10 (pow.f64 (*.f64 c a) 4)) (pow.f64 b 7)))))) (/.f64 1/2 a)) 3))
	44.8b	(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 1/4) (sqrt.f64 b))) (/.f64 1/2 a))
	44.3b	(.f64 (+.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 a (.f64 c -4))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 a (*.f64 c -4))))) (neg.f64 b)) (fma.f64 -1 b b)) (/.f64 1/2 a))

Compiler

Compiled 4142 to 2847 computations (31.3% saved)

regimes297.0ms (6.5%)

Accuracy

Total 2.7b remaining (87.5%)

Threshold costs 0b (0%)

Counts

51 → 1

Compiler

Compiled 8256 to 5802 computations (29.7% saved)

simplify3.0ms (0.1%)

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

Stop Event

1×

saturated

end322.0ms (7.1%)

Compiler: Compiled 586 to 408 computations (30.4% saved)

Details

analyze342.0ms (7.5%)

sample1.7s (38%)

simplify28.0ms (0.6%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

series104.0ms (2.3%)

rewrite65.0ms (1.4%)

simplify40.0ms (0.9%)

prune127.0ms (2.8%)

localize31.0ms (0.7%)

series200.0ms (4.4%)

rewrite62.0ms (1.4%)

simplify46.0ms (1%)

prune192.0ms (4.2%)

localize26.0ms (0.6%)

series167.0ms (3.7%)

rewrite66.0ms (1.5%)

simplify33.0ms (0.7%)

prune258.0ms (5.7%)

localize32.0ms (0.7%)

series165.0ms (3.6%)

rewrite41.0ms (0.9%)

simplify39.0ms (0.9%)

prune119.0ms (2.6%)

regimes297.0ms (6.5%)

simplify3.0ms (0.1%)

end322.0ms (7.1%)

Profiling