Details

analyze510.0ms (8.8%)

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
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)

sample4.3s (74.6%)

Results

1.2s	2039×	body	1024	valid
1.1s	2011×	body	1024	invalid
699.0ms	4670×	body	128	valid
374.0ms	1052×	body	512	invalid
338.0ms	1023×	body	512	valid
159.0ms	537×	body	256	invalid
149.0ms	520×	body	256	valid
135.0ms	835×	body	128	invalid
6.0ms	4×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify53.0ms (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)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series62.0ms (1.1%)

Counts

3 → 48

Calls

3 calls:

39.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
14.0ms	(/.f64 (sinh.f64 y) y)
9.0ms	(sinh.f64 y)

rewrite56.0ms (1%)

Algorithm

2×	batch-egg-rewrite

Rules

760×	`log1p-expm1-u_binary64`
760×	`expm1-log1p-u_binary64`
142×	`log1p-udef_binary64`
83×	`egg-rr`
78×	`add-sqr-sqrt_binary64`

Counts

3 → 83

Calls

3 calls:

54.0ms	(/.f64 (sinh.f64 y) y)
54.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
54.0ms	(sinh.f64 y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	148	20
2	1947	20
3	5022	20
0	0	0
1	0	0

simplify64.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

994×	`fma-neg_binary64`
985×	`times-frac_binary64`
492×	`fma-def_binary64`
219×	`associate-l_binary64`
218×	`associate-/l*_binary64`

Counts

131 → 122

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	1037
1	362	985
2	1115	957
3	3801	955
4	5984	955

prune70.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	120	3	123

Error

Counts

123 → 3

Alt Table

Status	Error	Program
	58.1b	(*.f64 (sin.f64 x) (/.f64 (log.f64 (exp.f64 (sinh.f64 y))) y))
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
▶	14.9b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)

Compiler

Compiled 1781 to 840 computations (52.8% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.1b	(*.f64 (sinh.f64 y) (sin.f64 x))
✓	15.0b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)

series58.0ms (1%)

Counts

2 → 48

Calls

2 calls:

34.0ms	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
24.0ms	(*.f64 (sinh.f64 y) (sin.f64 x))

rewrite54.0ms (0.9%)

Algorithm

2×	batch-egg-rewrite

Rules

788×	`log1p-expm1-u_binary64`
788×	`expm1-log1p-u_binary64`
78×	`add-sqr-sqrt_binary64`
72×	`add-log-exp_binary64`
71×	`add-cube-cbrt_binary64`

Counts

2 → 62

Calls

2 calls:

52.0ms	(*.f64 (sinh.f64 y) (sin.f64 x))
52.0ms	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	148	19
2	2001	19
3	4966	19
0	0	0
1	0	0

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

702×	`fma-def_binary64`
624×	`sub-neg_binary64`
296×	`associate--r+_binary64`
268×	`associate--l+_binary64`
257×	`associate-/l*_binary64`

Counts

110 → 101

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	1355
1	430	1319
2	1400	1210
3	4780	1210
4	5376	1210

prune66.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	134	3	137

Error

Counts

137 → 3

Alt Table

Status	Error	Program
▶	58.1b	(*.f64 (sin.f64 x) (/.f64 (log.f64 (exp.f64 (sinh.f64 y))) y))
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	14.9b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)

Compiler

Compiled 2197 to 1027 computations (53.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.0b	(exp.f64 (sinh.f64 y))
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (log.f64 (exp.f64 (sinh.f64 y))) y))
✓	6.2b	(log.f64 (exp.f64 (sinh.f64 y)))

series57.0ms (1%)

Counts

3 → 48

Calls

3 calls:

37.0ms	(*.f64 (sin.f64 x) (/.f64 (log.f64 (exp.f64 (sinh.f64 y))) y))
10.0ms	(log.f64 (exp.f64 (sinh.f64 y)))
9.0ms	(exp.f64 (sinh.f64 y))

rewrite62.0ms (1.1%)

Algorithm

2×	batch-egg-rewrite

Rules

822×	`log1p-expm1-u_binary64`
822×	`expm1-log1p-u_binary64`
86×	`add-sqr-sqrt_binary64`
79×	`add-log-exp_binary64`
78×	`add-cube-cbrt_binary64`

Counts

3 → 71

Calls

3 calls:

61.0ms	(exp.f64 (sinh.f64 y))
61.0ms	(*.f64 (sin.f64 x) (/.f64 (log.f64 (exp.f64 (sinh.f64 y))) y))
61.0ms	(log.f64 (exp.f64 (sinh.f64 y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	164	19
2	2118	19
3	5159	19
0	0	0
1	0	0

simplify64.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

942×	`fma-neg_binary64`
923×	`times-frac_binary64`
455×	`fma-def_binary64`
208×	`associate-r_binary64`
207×	`associate-/l*_binary64`

Counts

119 → 109

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	1015
1	347	971
2	1089	952
3	3796	950
4	5879	950

prune60.0ms (1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	142	3	145

Error

Counts

145 → 3

Alt Table

Status	Error	Program
✓	58.1b	(*.f64 (sin.f64 x) (/.f64 (log.f64 (exp.f64 (sinh.f64 y))) y))
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	14.9b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)

Compiler

Compiled 2096 to 1031 computations (50.8% saved)

regimes97.0ms (1.7%)

Accuracy

Total 0.0b remaining (17.7%)

Threshold costs 0.0b (17.7%)

Counts

19 → 1

Compiler

Compiled 1101 to 781 computations (29.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	7	11

end52.0ms (0.9%)

Compiler: Compiled 47 to 32 computations (31.9% saved)

Details

analyze510.0ms (8.8%)

sample4.3s (74.6%)

simplify53.0ms (0.9%)

prune2.0ms (0%)

localize5.0ms (0.1%)

series62.0ms (1.1%)

rewrite56.0ms (1%)

simplify64.0ms (1.1%)

prune70.0ms (1.2%)

localize5.0ms (0.1%)

series58.0ms (1%)

rewrite54.0ms (0.9%)

simplify66.0ms (1.1%)

prune66.0ms (1.1%)

localize8.0ms (0.1%)

series57.0ms (1%)

rewrite62.0ms (1.1%)

simplify64.0ms (1.1%)

prune60.0ms (1%)

regimes97.0ms (1.7%)

simplify2.0ms (0%)

end52.0ms (0.9%)

Profiling