Details

analyze215.0ms (6.3%)

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 (67.3%)

Results

782.0ms	1351×	body	1024	valid
698.0ms	5837×	body	128	valid
325.0ms	687×	body	1024	invalid
226.0ms	712×	body	512	valid
102.0ms	317×	body	512	invalid
78.0ms	351×	body	256	valid
38.0ms	162×	body	256	invalid
29.0ms	236×	body	128	invalid
5.0ms	5×	body	2048	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify7.0ms (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)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.2%)

Counts

1 → 8

Calls

1 calls:

8.0ms

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

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 20

Calls

1 calls:

5.0ms

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

simplify63.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Counts

28 → 44

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	408
1	185	370
2	527	349
3	1418	335
4	2537	333
5	4402	333
6	4955	333

prune27.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	2	45

Error

0.0b

Counts

45 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
▶	20.4b	(+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im)))

Compiler

Compiled 544 to 208 computations (61.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
✓	0.0b	(+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im)))
✓	0.1b	(*.f64 re (sin.f64 im))
✓	2.2b	(*.f64 (pow.f64 re 2) (sin.f64 im))

series48.0ms (1.4%)

Counts

4 → 25

Calls

4 calls:

20.0ms	(+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im)))
12.0ms	(*.f64 (pow.f64 re 2) (sin.f64 im))
8.0ms	(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
7.0ms	(*.f64 re (sin.f64 im))

rewrite23.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
11×	`associate-l_binary64`
11×	`add-log-exp_binary64`
11×	`add-exp-log_binary64`
10×	`*-un-lft-identity_binary64`

Counts

4 → 81

Calls

4 calls:

9.0ms	(+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im)))
4.0ms	(*.f64 (pow.f64 re 2) (sin.f64 im))
3.0ms	(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
3.0ms	(*.f64 re (sin.f64 im))

simplify96.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

782×	`cancel-sign-sub-inv_binary64`
781×	`fma-neg_binary64`
224×	`fma-def_binary64`
222×	`associate-r_binary64`
218×	`distribute-rgt-neg-in_binary64`

Counts

106 → 155

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	193	1913
1	589	1664
2	2223	1598
3	4190	1595
4	4936	1595
5	4945	1595

prune109.0ms (3.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	154	1	155
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	154	3	157

Error

0.0b

Counts

157 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	20.4b	(+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im)))
▶	20.4b	(+.f64 (.f64 (sin.f64 im) (+.f64 re (.f64 (*.f64 re re) 1/2))) (sin.f64 im))

Compiler

Compiled 3776 to 1803 computations (52.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 re (.f64 (.f64 re re) 1/2))
✓	0.0b	(.f64 (.f64 re re) 1/2)
✓	0.0b	(+.f64 (.f64 (sin.f64 im) (+.f64 re (.f64 (*.f64 re re) 1/2))) (sin.f64 im))
✓	2.2b	(.f64 (sin.f64 im) (+.f64 re (.f64 (*.f64 re re) 1/2)))

series42.0ms (1.2%)

Counts

4 → 72

Calls

4 calls:

20.0ms	(+.f64 (.f64 (sin.f64 im) (+.f64 re (.f64 (*.f64 re re) 1/2))) (sin.f64 im))
17.0ms	(.f64 (sin.f64 im) (+.f64 re (.f64 (*.f64 re re) 1/2)))
3.0ms	(+.f64 re (.f64 (.f64 re re) 1/2))
3.0ms	(.f64 (.f64 re re) 1/2)

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
11×	`add-cbrt-cube_binary64`
11×	`add-exp-log_binary64`
11×	`pow1_binary64`
8×	`*-un-lft-identity_binary64`

Counts

4 → 77

Calls

4 calls:

6.0ms	(.f64 (sin.f64 im) (+.f64 re (.f64 (*.f64 re re) 1/2)))
5.0ms	(+.f64 (.f64 (sin.f64 im) (+.f64 re (.f64 (*.f64 re re) 1/2))) (sin.f64 im))
4.0ms	(.f64 (.f64 re re) 1/2)
2.0ms	(+.f64 re (.f64 (.f64 re re) 1/2))

simplify90.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

608×	`cancel-sign-sub-inv_binary64`
513×	`distribute-rgt-in_binary64`
494×	`fma-neg_binary64`
208×	`associate-l_binary64`
199×	`fma-def_binary64`

Counts

149 → 153

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	182	2327
1	528	2198
2	2037	2140
3	4377	2135
4	4952	2135

prune103.0ms (3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	153	3	156

Error

0.0b

Counts

156 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	20.4b	(+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im)))
✓	20.4b	(+.f64 (.f64 (sin.f64 im) (+.f64 re (.f64 (*.f64 re re) 1/2))) (sin.f64 im))

Compiler

Compiled 3301 to 1632 computations (50.6% saved)

regimes193.0ms (5.6%)

Accuracy

Total 0.0b remaining (26.2%)

Threshold costs 0.0b (26.2%)

Counts

43 → 1

Compiler

Compiled 3342 to 2115 computations (36.7% 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 (1.5%)

Compiler: Compiled 54 to 35 computations (35.2% saved)

Details

analyze215.0ms (6.3%)

sample2.3s (67.3%)

simplify7.0ms (0.2%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series8.0ms (0.2%)

rewrite6.0ms (0.2%)

simplify63.0ms (1.8%)

prune27.0ms (0.8%)

localize9.0ms (0.3%)

series48.0ms (1.4%)

rewrite23.0ms (0.7%)

simplify96.0ms (2.8%)

prune109.0ms (3.2%)

localize8.0ms (0.2%)

series42.0ms (1.2%)

rewrite21.0ms (0.6%)

simplify90.0ms (2.6%)

prune103.0ms (3%)

regimes193.0ms (5.6%)

simplify2.0ms (0.1%)

end51.0ms (1.5%)

Profiling