Details

analyze530.0ms (8.9%)

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
0%	99.9%	0.1%	5
6.2%	93.7%	0.1%	6
37.5%	53.1%	9.5%	7
37.5%	51.5%	11%	8
43.7%	39.8%	16.5%	9
43.7%	38.6%	17.7%	10
46.8%	32.6%	20.6%	11
46.8%	31.9%	21.3%	12
48.4%	28.8%	22.8%	13
48.4%	28.5%	23.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.1s (69.5%)

Results

1.2s	2068×	body	1024	valid
1.1s	2027×	body	1024	invalid
671.0ms	4564×	body	128	valid
389.0ms	1081×	body	512	valid
342.0ms	1033×	body	512	invalid
159.0ms	538×	body	256	valid
136.0ms	756×	body	128	invalid
130.0ms	509×	body	256	invalid
6.0ms	5×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify56.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

804×	`fma-neg_binary64`
610×	`div-sub_binary64`
491×	`times-frac_binary64`
410×	`associate-/l*_binary64`
352×	`cancel-sign-sub-inv_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	16	11
2	34	11
3	73	11
4	160	11
5	361	11
6	984	11
7	3177	11
8	4701	11
9	5010	11

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series59.0ms (1%)

Counts

3 → 48

Calls

3 calls:

33.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
17.0ms	(/.f64 (sinh.f64 y) y)
8.0ms	(sinh.f64 y)

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
19×	`times-frac_binary64`
19×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64`

Counts

3 → 74

Calls

3 calls:

7.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(sinh.f64 y)

simplify89.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

550×	`fma-def_binary64`
445×	`associate-/l*_binary64`
383×	`times-frac_binary64`
314×	`associate-*l/_binary64`
249×	`fma-neg_binary64`

Counts

122 → 129

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	214	2084
1	539	1920
2	1766	1774
3	4702	1772
4	4956	1772

prune79.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	126	3	129
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	126	4	130

Error

Counts

130 → 4

Alt Table

Status	Error	Program
	57.8b	(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
▶	0.8b	(.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1)))
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
	0.9b	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))

Compiler

Compiled 2150 to 829 computations (61.4% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1))
✓	0.0b	(fma.f64 1/6 (*.f64 y y) 1)
✓	0.0b	(.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1)))

series41.0ms (0.7%)

Counts

3 → 48

Calls

3 calls:

34.0ms	(.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1)))
5.0ms	(fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1))
3.0ms	(fma.f64 1/6 (*.f64 y y) 1)

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-cube-cbrt_binary64`
5×	`add-cbrt-cube_binary64`
5×	`add-exp-log_binary64`

Counts

3 → 42

Calls

3 calls:

3.0ms	(.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1)))
0.0ms	(fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1))
0.0ms	(fma.f64 1/6 (*.f64 y y) 1)

simplify81.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

664×	`fma-def_binary64`
554×	`associate-l_binary64`
459×	`associate-r_binary64`
371×	`cancel-sign-sub-inv_binary64`
355×	`associate--l+_binary64`

Counts

90 → 93

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	1875
1	292	1655
2	1115	1620
3	4854	1620
4	4995	1620

prune78.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	93	4	97

Error

Counts

97 → 4

Alt Table

Status	Error	Program
	57.8b	(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
✓	0.8b	(.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1)))
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
▶	0.9b	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))

Compiler

Compiled 2176 to 1384 computations (36.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
✓	0.2b	(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
✓	0.2b	(*.f64 (pow.f64 y 2) (sin.f64 x))

series48.0ms (0.8%)

Counts

3 → 15

Calls

3 calls:

19.0ms	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
17.0ms	(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
12.0ms	(*.f64 (pow.f64 y 2) (sin.f64 x))

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-exp-log_binary64`
14×	`add-sqr-sqrt_binary64`
11×	`associate-l_binary64`
10×	`add-cbrt-cube_binary64`
10×	`prod-exp_binary64`

Counts

3 → 66

Calls

3 calls:

6.0ms	(*.f64 (pow.f64 y 2) (sin.f64 x))
5.0ms	(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
4.0ms	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))

simplify97.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

900×	`fma-neg_binary64`
686×	`fma-def_binary64`
441×	`cancel-sign-sub-inv_binary64`
377×	`sub-neg_binary64`
367×	`*-commutative_binary64`

Counts

81 → 127

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	1481
1	389	1288
2	1331	1228
3	3806	1223
4	4991	1223
5	4936	1223

prune101.0ms (1.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	127	4	131

Error

Counts

131 → 4

Alt Table

Status	Error	Program
▶	57.8b	(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
✓	0.8b	(.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1)))
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	0.9b	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))

Compiler

Compiled 2455 to 1395 computations (43.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 -1/2 (exp.f64 y))
✓	0.0b	(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
✓	5.1b	(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))

series64.0ms (1.1%)

Counts

4 → 52

Calls

4 calls:

36.0ms	(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
11.0ms	(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
8.0ms	(/.f64 -1/2 (exp.f64 y))
8.0ms	(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64`
28×	`times-frac_binary64`
28×	`*-un-lft-identity_binary64`
28×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64`

Counts

4 → 102

Calls

4 calls:

6.0ms	(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
3.0ms	(/.f64 -1/2 (exp.f64 y))
2.0ms	(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
0.0ms	(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))

simplify115.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

611×	`fma-def_binary64`
462×	`associate-/l*_binary64`
390×	`times-frac_binary64`
304×	`fma-neg_binary64`
144×	`associate-/r/_binary64`

Counts

154 → 175

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	261	3329
1	630	3027
2	1945	3003
3	4857	2995
4	5001	2995

prune83.0ms (1.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	175	4	179

Error

Counts

179 → 4

Alt Table

Status	Error	Program
✓	57.8b	(*.f64 (sin.f64 x) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
✓	0.8b	(.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1)))
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	0.9b	(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))

Compiler

Compiled 3789 to 1995 computations (47.3% saved)

regimes131.0ms (2.2%)

Accuracy

Total 0.0b remaining (23.3%)

Threshold costs 0.0b (23.3%)

Counts

23 → 1

Compiler

Compiled 1481 to 1068 computations (27.9% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	12	14
2	11	14

end71.0ms (1.2%)

Compiler: Compiled 75 to 53 computations (29.3% saved)

Details

analyze530.0ms (8.9%)

sample4.1s (69.5%)

simplify56.0ms (0.9%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series59.0ms (1%)

rewrite15.0ms (0.3%)

simplify89.0ms (1.5%)

prune79.0ms (1.3%)

localize10.0ms (0.2%)

series41.0ms (0.7%)

rewrite6.0ms (0.1%)

simplify81.0ms (1.4%)

prune78.0ms (1.3%)

localize8.0ms (0.1%)

series48.0ms (0.8%)

rewrite17.0ms (0.3%)

simplify97.0ms (1.6%)

prune101.0ms (1.7%)

localize10.0ms (0.2%)

series64.0ms (1.1%)

rewrite16.0ms (0.3%)

simplify115.0ms (1.9%)

prune83.0ms (1.4%)

regimes131.0ms (2.2%)

simplify2.0ms (0%)

end71.0ms (1.2%)

Profiling