Details

analyze349.0ms (3.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	49.9%	50.1%	5
0%	43.7%	56.3%	6
0%	34.3%	65.7%	7
3.1%	31.2%	65.7%	8
3.1%	28.1%	68.8%	9
4.7%	25%	70.4%	10
7%	20.3%	72.7%	11
10.5%	16.8%	72.7%	12
10.5%	16%	73.5%	13
12.3%	13.8%	73.9%	14

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.2s (12.6%)

Results

1.1s	8255×	body	128	valid
50.0ms	448×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 47 to 32 computations (31.9% saved)

simplify38.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1015×	`fma-neg_binary64`
287×	`distribute-rgt-in_binary64`
278×	`unsub-neg_binary64`
236×	`fma-def_binary64`
223×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	22	17
2	59	17
3	163	15
4	407	15
5	914	15
6	1368	15
7	1823	15
8	2104	15
9	2873	15
10	4681	15

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))

Compiler

Compiled 53 to 31 computations (41.5% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
✓	0.1b	(fma.f64 x (log.f64 y) (log.f64 t))

series692.0ms (7.2%)

Counts

2 → 84

Calls

2 calls:

378.0ms	(fma.f64 x (log.f64 y) (log.f64 t))
313.0ms	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

477×	`fma-def_binary64`
229×	`fma-neg_binary64`
204×	`expm1-udef_binary64`
204×	`log1p-udef_binary64`
181×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	215	24
2	3029	24

Stop Event

1×	node limit

Counts

2 → 148

Calls

2 calls:

56.0ms	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
56.0ms	(fma.f64 x (log.f64 y) (log.f64 t))

simplify34.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

444×	`associate--r+_binary64`
441×	`fma-neg_binary64`
419×	`fma-def_binary64`
338×	`associate-+l-_binary64`
328×	`associate--l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	954
1	134	954
2	364	954
3	1263	954

Stop Event

1×	node limit

Counts

232 → 171

prune100.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	165	6	171
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	165	7	172

Error

0.0b

Counts

172 → 7

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
	33.6b	(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	0.6b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) 3) (+.f64 y z))
	34.8b	(fma.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
▶	0.4b	(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	0.5b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	41.2b	(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))) 2)

Compiler

Compiled 3596 to 869 computations (75.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
✓	0.2b	(*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2))
✓	0.5b	(cbrt.f64 (log.f64 y))
✓	0.5b	(pow.f64 (cbrt.f64 (log.f64 y)) 2)

series2.6s (26.8%)

Counts

4 → 96

Calls

4 calls:

1.3s	(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
725.0ms	(*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2))
260.0ms	(pow.f64 (cbrt.f64 (log.f64 y)) 2)
258.0ms	(cbrt.f64 (log.f64 y))

rewrite56.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

491×	`fma-def_binary64`
260×	`expm1-udef_binary64`
260×	`log1p-udef_binary64`
233×	`fma-neg_binary64`
147×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	51
1	296	41
2	3883	39

Stop Event

1×	node limit

Counts

4 → 82

Calls

4 calls:

54.0ms	(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
54.0ms	(*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2))
54.0ms	(cbrt.f64 (log.f64 y))
54.0ms	(pow.f64 (cbrt.f64 (log.f64 y)) 2)

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

404×	`associate-l_binary64`
404×	`fma-def_binary64`
396×	`associate-r_binary64`
280×	`associate--l+_binary64`
257×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	1083
1	171	1083
2	428	1083
3	1488	1083

Stop Event

1×	node limit

Counts

178 → 109

prune166.0ms (1.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	132	3	135
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	132	10	142

Error

0.0b

Counts

142 → 10

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
	33.6b	(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	0.5b	(fma.f64 (.f64 x (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4)))) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	0.6b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) 3) (+.f64 y z))
	34.8b	(fma.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
✓	0.4b	(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
▶	0.5b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	41.2b	(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))) 2)
	0.5b	(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) x)) 3) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	0.5b	(fma.f64 (.f64 x (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) (cbrt.f64 (log.f64 y))))) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))

Compiler

Compiled 2848 to 1025 computations (64% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
✓	0.3b	(*.f64 (cbrt.f64 x) (log.f64 y))
✓	0.5b	(pow.f64 (cbrt.f64 x) 2)
✓	0.6b	(cbrt.f64 x)

series1.8s (18.2%)

Counts

4 → 96

Calls

4 calls:

1.2s	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
473.0ms	(*.f64 (cbrt.f64 x) (log.f64 y))
46.0ms	(pow.f64 (cbrt.f64 x) 2)
31.0ms	(cbrt.f64 x)

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

486×	`fma-def_binary64`
260×	`expm1-udef_binary64`
260×	`log1p-udef_binary64`
233×	`fma-neg_binary64`
147×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	296	34
2	3881	32

Stop Event

1×	node limit

Counts

4 → 82

Calls

4 calls:

58.0ms	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
58.0ms	(*.f64 (cbrt.f64 x) (log.f64 y))
58.0ms	(pow.f64 (cbrt.f64 x) 2)
58.0ms	(cbrt.f64 x)

simplify43.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

403×	`associate-l_binary64`
347×	`associate--r+_binary64`
330×	`associate-r_binary64`
317×	`fma-def_binary64`
284×	`associate--l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	1054
1	162	1054
2	448	1054
3	1429	1054

Stop Event

1×	node limit

Counts

178 → 107

prune274.0ms (2.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	132	11	143

Error

0.0b

Counts

143 → 11

Alt Table

Status	Error	Program
▶	0.5b	(fma.f64 (.f64 x (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4)))) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	1.4b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (log.f64 y)) 3)) (-.f64 (log.f64 t) (+.f64 y z)))
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
	16.4b	(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	33.6b	(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	0.6b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) 3) (+.f64 y z))
	34.8b	(fma.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
✓	0.4b	(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
✓	0.5b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	41.2b	(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))) 2)
	0.5b	(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) x)) 3) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))

Compiler

Compiled 2746 to 960 computations (65% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(cbrt.f64 (log.f64 y))
✓	0.5b	(cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4))
✓	0.5b	(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2)
✓	0.9b	(pow.f64 (cbrt.f64 (log.f64 y)) 4)

series1.1s (11.4%)

Counts

3 → 36

Calls

3 calls:

457.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4))
328.0ms	(pow.f64 (cbrt.f64 (log.f64 y)) 4)
319.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2)

rewrite46.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

622×	`log1p-expm1-u_binary64`
622×	`expm1-log1p-u_binary64`
323×	`log-prod_binary64`
136×	`log-pow_binary64`
133×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	194	28
2	1953	28

Stop Event

1×	node limit

Counts

3 → 74

Calls

3 calls:

45.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4))
45.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2)
45.0ms	(pow.f64 (cbrt.f64 (log.f64 y)) 4)

simplify39.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

755×	`fma-def_binary64`
580×	`unswap-sqr_binary64`
306×	`associate-l_binary64`
245×	`associate-r_binary64`
214×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	576
1	77	576
2	137	576
3	467	576
4	2251	384

Stop Event

1×	node limit

Counts

110 → 86

prune291.0ms (3%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	164	11	175

Error

0.0b

Counts

175 → 11

Alt Table

Status	Error	Program
✓	0.5b	(fma.f64 (.f64 x (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4)))) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	1.4b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (log.f64 y)) 3)) (-.f64 (log.f64 t) (+.f64 y z)))
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
	16.4b	(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	33.6b	(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	0.6b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) 3) (+.f64 y z))
	34.8b	(fma.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
✓	0.4b	(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
✓	0.5b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))
	41.2b	(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))) 2)
	0.5b	(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) x)) 3) (cbrt.f64 (log.f64 y)) (-.f64 (log.f64 t) (+.f64 y z)))

Compiler

Compiled 5074 to 2086 computations (58.9% saved)

regimes475.0ms (4.9%)

Accuracy

Total 0.1b remaining (73%)

Threshold costs 0.1b (73%)

Counts

43 → 1

Compiler

Compiled 6350 to 3991 computations (37.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	13	15
2	22	15
3	30	15
4	35	15
5	37	15

Stop Event

1×

saturated

end175.0ms (1.8%)

Compiler: Compiled 250 to 162 computations (35.2% saved)

Details

analyze349.0ms (3.6%)

sample1.2s (12.6%)

simplify38.0ms (0.4%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series692.0ms (7.2%)

rewrite60.0ms (0.6%)

simplify34.0ms (0.4%)

prune100.0ms (1%)

localize13.0ms (0.1%)

series2.6s (26.8%)

rewrite56.0ms (0.6%)

simplify41.0ms (0.4%)

prune166.0ms (1.7%)

localize13.0ms (0.1%)

series1.8s (18.2%)

rewrite59.0ms (0.6%)

simplify43.0ms (0.4%)

prune274.0ms (2.8%)

localize19.0ms (0.2%)

series1.1s (11.4%)

rewrite46.0ms (0.5%)

simplify39.0ms (0.4%)

prune291.0ms (3%)

regimes475.0ms (4.9%)

simplify2.0ms (0%)

end175.0ms (1.8%)

Profiling