Details

analyze232.0ms (6.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
74.9%	21.9%	3.2%	6
74.9%	20.3%	4.8%	7
74.9%	18%	7.1%	8
74.9%	16.8%	8.3%	9
74.9%	15.4%	9.7%	10
74.9%	14.7%	10.3%	11
74.9%	14%	11.1%	12
74.9%	13.6%	11.4%	13
74.9%	13.3%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.4s (70.6%)

Results

823.0ms	1386×	body	1024	valid
712.0ms	5788×	body	128	valid
370.0ms	661×	body	1024	invalid
249.0ms	717×	body	512	valid
94.0ms	309×	body	512	invalid
85.0ms	362×	body	256	valid
32.0ms	151×	body	256	invalid
30.0ms	227×	body	128	invalid
3.0ms	3×	body	2048	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
2	7	8

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 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 re)
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

series9.0ms (0.3%)

Counts

2 → 12

Calls

2 calls:

8.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms	(exp.f64 re)

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`
4×	`pow1_binary64`

Counts

2 → 33

Calls

2 calls:

4.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms	(exp.f64 re)

simplify68.0ms (2%)

Algorithm

1×	egg-herbie

Rules

963×	`fma-neg_binary64`
601×	`cancel-sign-sub-inv_binary64`
425×	`unswap-sqr_binary64`
355×	`distribute-rgt-neg-in_binary64`
296×	`*-commutative_binary64`

Counts

45 → 66

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	85	513
1	209	466
2	582	447
3	1554	435
4	2642	433
5	4403	433
6	5030	433

prune45.0ms (1.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	3	67

Error

Counts

67 → 3

Alt Table

Status	Error	Program
	19.8b	(fma.f64 (sin.f64 im) re (sin.f64 im))
▶	0.0b	(*.f64 (expm1.f64 (log1p.f64 (exp.f64 re))) (sin.f64 im))
	0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))

Compiler

Compiled 757 to 304 computations (59.8% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(exp.f64 re)
✓	0.0b	(expm1.f64 (log1p.f64 (exp.f64 re)))
✓	0.0b	(*.f64 (expm1.f64 (log1p.f64 (exp.f64 re))) (sin.f64 im))

series10.0ms (0.3%)

Counts

2 → 36

Calls

2 calls:

9.0ms	(*.f64 (expm1.f64 (log1p.f64 (exp.f64 re))) (sin.f64 im))
1.0ms	(expm1.f64 (log1p.f64 (exp.f64 re)))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

3.0ms	(*.f64 (expm1.f64 (log1p.f64 (exp.f64 re))) (sin.f64 im))
0.0ms	(expm1.f64 (log1p.f64 (exp.f64 re)))

simplify71.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

963×	`fma-neg_binary64`
601×	`cancel-sign-sub-inv_binary64`
383×	`unswap-sqr_binary64`
355×	`distribute-rgt-neg-in_binary64`
298×	`*-commutative_binary64`

Counts

67 → 73

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	83	669
1	200	608
2	568	589
3	1531	577
4	2603	575
5	4428	575
6	4890	575

prune53.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	95	3	98

Error

Counts

98 → 3

Alt Table

Status	Error	Program
	19.8b	(fma.f64 (sin.f64 im) re (sin.f64 im))
✓	0.0b	(*.f64 (expm1.f64 (log1p.f64 (exp.f64 re))) (sin.f64 im))
▶	0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))

Compiler

Compiled 1154 to 430 computations (62.7% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(exp.f64 re)
✓	0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))
✓	0.0b	(*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im))

series19.0ms (0.5%)

Counts

2 → 32

Calls

2 calls:

10.0ms	(*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im))
8.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))

rewrite19.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-l_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
9×	`pow1_binary64`

Counts

2 → 47

Calls

2 calls:

9.0ms	(*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im))
8.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))

simplify105.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

993×	`fma-neg_binary64`
416×	`fma-def_binary64`
379×	`cancel-sign-sub-inv_binary64`
348×	`distribute-rgt-neg-in_binary64`
325×	`*-commutative_binary64`

Counts

79 → 97

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	1142
1	313	1053
2	963	992
3	1927	959
4	3402	959
5	4528	959
6	4839	959
7	4937	959

prune74.0ms (2.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	141	3	144

Error

Counts

144 → 3

Alt Table

Status	Error	Program
▶	19.8b	(fma.f64 (sin.f64 im) re (sin.f64 im))
✓	0.0b	(*.f64 (expm1.f64 (log1p.f64 (exp.f64 re))) (sin.f64 im))
✓	0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))

Compiler

Compiled 2184 to 670 computations (69.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (sin.f64 im) re (sin.f64 im))

series9.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

9.0ms

(fma.f64 (sin.f64 im) re (sin.f64 im))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 (sin.f64 im) re (sin.f64 im))

simplify55.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

682×	`fma-neg_binary64`
597×	`distribute-rgt-neg-in_binary64`
570×	`associate-l_binary64`
393×	`associate-r_binary64`
361×	`fma-def_binary64`

Counts

34 → 29

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	431
1	144	395
2	488	378
3	1897	370
4	4265	370
5	4975	370

prune16.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	29	3	32

Error

Counts

32 → 3

Alt Table

Status	Error	Program
✓	19.8b	(fma.f64 (sin.f64 im) re (sin.f64 im))
✓	0.0b	(*.f64 (expm1.f64 (log1p.f64 (exp.f64 re))) (sin.f64 im))
✓	0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))

Compiler

Compiled 405 to 210 computations (48.1% saved)

regimes128.0ms (3.7%)

Accuracy

Total 0.0b remaining (55.5%)

Threshold costs 0.0b (55.5%)

Counts

31 → 1

Compiler

Compiled 1475 to 1033 computations (30% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`*-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	12	8
2	11	8

end52.0ms (1.5%)

Compiler: Compiled 43 to 28 computations (34.9% saved)

Details

analyze232.0ms (6.7%)

sample2.4s (70.6%)

simplify5.0ms (0.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

series9.0ms (0.3%)

rewrite7.0ms (0.2%)

simplify68.0ms (2%)

prune45.0ms (1.3%)

localize7.0ms (0.2%)

series10.0ms (0.3%)

rewrite4.0ms (0.1%)

simplify71.0ms (2.1%)

prune53.0ms (1.5%)

localize7.0ms (0.2%)

series19.0ms (0.5%)

rewrite19.0ms (0.6%)

simplify105.0ms (3.1%)

prune74.0ms (2.2%)

localize4.0ms (0.1%)

series9.0ms (0.3%)

rewrite1.0ms (0%)

simplify55.0ms (1.6%)

prune16.0ms (0.5%)

regimes128.0ms (3.7%)

simplify2.0ms (0.1%)

end52.0ms (1.5%)

Profiling