Details

analyze466.0ms (9.8%)

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
43.7%	56.2%	0.1%	6
43.7%	46.8%	9.5%	7
46.8%	42.1%	11%	8
46.8%	36.7%	16.5%	9
48.4%	34%	17.7%	10
48.4%	31%	20.6%	11
49.2%	29.6%	21.3%	12
49.2%	28%	22.8%	13
49.6%	27.3%	23.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample2.9s (61.4%)

Results

980.0ms	1927×	body	1024	invalid
744.0ms	6415×	body	128	valid
339.0ms	632×	body	1024	valid
300.0ms	997×	body	512	invalid
236.0ms	755×	body	512	valid
104.0ms	485×	body	256	invalid
101.0ms	785×	body	128	invalid
96.0ms	454×	body	256	valid

Compiler

Compiled 20 to 14 computations (30% saved)

preprocess33.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

948×	`fma-def_binary64`
229×	`div-sub_binary64`
216×	`cancel-sign-sub-inv_binary64`
186×	`associate-/l*_binary64`
184×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	28	22
2	67	22
3	148	22
4	346	22
5	925	22
6	2908	22
0	2	2

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify18.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

544×	`times-frac_binary64`
474×	`fma-def_binary64`
457×	`associate-/l*_binary64`
344×	`associate-l_binary64`
241×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	16	11
2	37	11
3	79	11
4	178	11
5	472	11
6	1476	11

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (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

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.1b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
	13.6b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Compiler

Compiled 52 to 32 computations (38.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sinh.f64 y)
✓	0.1b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

series38.0ms (0.8%)

Counts

2 → 36

Calls

9 calls:

7.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))	y	inf
6.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))	y	-inf
6.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))	x	-inf
4.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))	x	inf
3.0ms	(sinh.f64 y)	y	-inf

rewrite42.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

772×	`log1p-expm1-u_binary64`
772×	`expm1-log1p-u_binary64`
144×	`log1p-udef_binary64`
79×	`add-sqr-sqrt_binary64`
73×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	149	14
2	2043	14

Stop Event

1×	node limit

Counts

2 → 47

simplify37.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

552×	`fma-neg_binary64`
495×	`times-frac_binary64`
337×	`sub-neg_binary64`
311×	`fma-def_binary64`
154×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	869
1	273	846
2	841	770
3	3306	764

Stop Event

1×	node limit

Counts

83 → 76

prune45.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	72	6	78

Error

0.0b

Counts

78 → 6

Alt Table

Status	Error	Program
▶	0.8b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
✓	0.1b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
	13.6b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
	1.1b	(*.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) x))
	26.3b	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))) 2)
	14.3b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))

Compiler

Compiled 1245 to 629 computations (49.5% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.0b	(/.f64 x (sinh.f64 y))
✓	0.8b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

series83.0ms (1.7%)

Counts

2 → 48

Calls

12 calls:

12.0ms	(/.f64 x (sinh.f64 y))	x	inf
11.0ms	(/.f64 x (sinh.f64 y))	x	-inf
11.0ms	(/.f64 x (sinh.f64 y))	y	-inf
10.0ms	(/.f64 x (sinh.f64 y))	y	inf
8.0ms	(/.f64 x (sinh.f64 y))	x	0

rewrite44.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

868×	`log1p-expm1-u_binary64`
868×	`expm1-log1p-u_binary64`
83×	`add-sqr-sqrt_binary64`
80×	`prod-diff_binary64`
77×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	155	17
2	2289	17

Stop Event

1×	node limit

Counts

2 → 77

simplify49.0ms (1%)

Algorithm

1×	egg-herbie

Rules

754×	`fma-neg_binary64`
475×	`times-frac_binary64`
286×	`fma-def_binary64`
189×	`associate-r_binary64`
185×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	1108
1	296	1086
2	943	1005
3	3732	998

Stop Event

1×	node limit

Counts

125 → 109

prune88.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	135	5	140
Fresh	3	1	4
Picked	0	1	1
Done	1	0	1
Total	139	7	146

Error

Counts

146 → 7

Alt Table

Status	Error	Program
✓	0.8b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	30.4b	(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y))))
	1.1b	(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))
▶	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
	0.9b	(/.f64 (sin.f64 x) (*.f64 x (/.f64 1 (sinh.f64 y))))
	13.6b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
	26.7b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)

Compiler

Compiled 2145 to 961 computations (55.2% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
✓	0.1b	(/.f64 (sin.f64 x) x)

series33.0ms (0.7%)

Counts

2 → 28

Calls

9 calls:

8.0ms	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))	y	-inf
7.0ms	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))	y	inf
6.0ms	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))	x	-inf
4.0ms	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))	x	inf
3.0ms	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))	x	0

rewrite43.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`log1p-expm1-u_binary64`
779×	`expm1-log1p-u_binary64`
144×	`log1p-udef_binary64`
79×	`add-sqr-sqrt_binary64`
73×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	149	17
2	2054	17

Stop Event

1×	node limit

Counts

2 → 65

simplify36.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

651×	`fma-neg_binary64`
473×	`times-frac_binary64`
377×	`sub-neg_binary64`
278×	`fma-def_binary64`
161×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	719
1	277	690
2	872	676
3	3444	670

Stop Event

1×	node limit

Counts

93 → 93

prune89.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	125	6	131

Error

Counts

131 → 6

Alt Table

Status	Error	Program
✓	0.8b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	30.4b	(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y))))
	1.1b	(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))
✓	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
▶	0.4b	(*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3))
	13.6b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Compiler

Compiled 1838 to 860 computations (53.2% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3))
	0.1b	(/.f64 (sin.f64 x) x)
✓	0.3b	(cbrt.f64 (/.f64 (sin.f64 x) x))
✓	0.4b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)

series142.0ms (3%)

Counts

3 → 32

Calls

12 calls:

67.0ms	(*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3))	x	-inf
25.0ms	(*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3))	y	-inf
17.0ms	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)	x	-inf
8.0ms	(cbrt.f64 (/.f64 (sin.f64 x) x))	x	-inf
6.0ms	(*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3))	y	inf

rewrite47.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

469×	`log-prod_binary64`
246×	`pow2_binary64`
171×	`pow1/3_binary64`
171×	`expm1-udef_binary64`
171×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	209	25
2	2500	25

Stop Event

1×	node limit

Counts

3 → 114

simplify47.0ms (1%)

Algorithm

1×	egg-herbie

Rules

764×	`fma-neg_binary64`
473×	`times-frac_binary64`
326×	`fma-def_binary64`
195×	`cancel-sign-sub-inv_binary64`
171×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	771
1	313	742
2	977	726
3	3836	720

Stop Event

1×	node limit

Counts

146 → 148

prune127.0ms (2.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	188	6	194

Error

Counts

194 → 6

Alt Table

Status	Error	Program
✓	0.8b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	30.4b	(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y))))
	1.1b	(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))
✓	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
✓	0.4b	(*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3))
	13.6b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Compiler

Compiled 2867 to 1329 computations (53.6% saved)

regimes227.0ms (4.8%)

Accuracy

Total 0.4b remaining (90.8%)

Threshold costs 0.4b (90.8%)

Counts

65 → 1

Compiler

Compiled 3233 to 2333 computations (27.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15

Stop Event

1×

saturated

end75.0ms (1.6%)

Stop Event

1×

fuel

Compiler

Compiled 93 to 63 computations (32.3% saved)

Details

analyze466.0ms (9.8%)

sample2.9s (61.4%)

preprocess33.0ms (0.7%)

simplify18.0ms (0.4%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

series38.0ms (0.8%)

rewrite42.0ms (0.9%)

simplify37.0ms (0.8%)

prune45.0ms (1%)

localize5.0ms (0.1%)

series83.0ms (1.7%)

rewrite44.0ms (0.9%)

simplify49.0ms (1%)

prune88.0ms (1.8%)

localize6.0ms (0.1%)

series33.0ms (0.7%)

rewrite43.0ms (0.9%)

simplify36.0ms (0.8%)

prune89.0ms (1.9%)

localize8.0ms (0.2%)

series142.0ms (3%)

rewrite47.0ms (1%)

simplify47.0ms (1%)

prune127.0ms (2.7%)

regimes227.0ms (4.8%)

simplify2.0ms (0.1%)

end75.0ms (1.6%)

Profiling