Details

analyze237.0ms (7.5%)

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)

sample2.3s (74%)

Results

849.0ms	1346×	body	1024	valid
710.0ms	5893×	body	128	valid
315.0ms	661×	body	1024	invalid
208.0ms	678×	body	512	valid
95.0ms	317×	body	512	invalid
68.0ms	337×	body	256	valid
34.0ms	168×	body	256	invalid
32.0ms	249×	body	128	invalid
2.0ms	2×	body	2048	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify6.0ms (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

prune1.0ms (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)

localize6.0ms (0.2%)

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)

rewrite6.0ms (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)

simplify71.0ms (2.2%)

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

prune35.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	3	67

Error

Counts

67 → 3

Alt Table

Status	Error	Program
▶	0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))
	22.7b	(fma.f64 (sin.f64 im) re (sin.f64 im))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 746 to 295 computations (60.5% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series26.0ms (0.8%)

Counts

3 → 36

Calls

3 calls:

16.0ms	(*.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)))
2.0ms	(sqrt.f64 (exp.f64 re))

rewrite20.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
12×	`associate-l_binary64`
11×	`pow1_binary64`
10×	`sqrt-prod_binary64`
10×	`*-un-lft-identity_binary64`

Counts

3 → 65

Calls

3 calls:

8.0ms	(*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im))
7.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))
1.0ms	(sqrt.f64 (exp.f64 re))

simplify119.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

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

Counts

101 → 125

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	133	1314
1	341	1214
2	1023	1155
3	2037	1121
4	3496	1113
5	4621	1113
6	4936	1113
7	4892	1113

prune100.0ms (3.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	197	3	200

Error

Counts

200 → 3

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))
▶	22.7b	(fma.f64 (sin.f64 im) re (sin.f64 im))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 2990 to 920 computations (69.2% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (sin.f64 im) re (sin.f64 im))

series8.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

8.0ms

(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))

simplify58.0ms (1.8%)

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

prune14.0ms (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
✓	0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))
✓	22.7b	(fma.f64 (sin.f64 im) re (sin.f64 im))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 403 to 208 computations (48.4% saved)

regimes42.0ms (1.3%)

Accuracy

Total 0.0b remaining (33.6%)

Threshold costs 0.0b (33.6%)

Counts

9 → 1

Compiler

Compiled 362 to 230 computations (36.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

end51.0ms (1.6%)

Compiler: Compiled 41 to 26 computations (36.6% saved)

Details

analyze237.0ms (7.5%)

sample2.3s (74%)

simplify6.0ms (0.2%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series9.0ms (0.3%)

rewrite6.0ms (0.2%)

simplify71.0ms (2.2%)

prune35.0ms (1.1%)

localize6.0ms (0.2%)

series26.0ms (0.8%)

rewrite20.0ms (0.6%)

simplify119.0ms (3.8%)

prune100.0ms (3.2%)

localize4.0ms (0.1%)

series8.0ms (0.3%)

rewrite1.0ms (0%)

simplify58.0ms (1.8%)

prune14.0ms (0.5%)

regimes42.0ms (1.3%)

simplify2.0ms (0.1%)

end51.0ms (1.6%)

Profiling