Details

analyze217.0ms (6.9%)

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)

sample2.2s (70.7%)

Results

745.0ms	1400×	body	1024	valid
671.0ms	5773×	body	128	valid
337.0ms	716×	body	1024	invalid
215.0ms	733×	body	512	valid
92.0ms	321×	body	512	invalid
70.0ms	349×	body	256	valid
33.0ms	159×	body	256	invalid
30.0ms	253×	body	128	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8

Stop Event

1×

saturated

Counts

1 → 1

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))

series7.0ms (0.2%)

Counts

1 → 8

Calls

1 calls:

7.0ms

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

rewrite30.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

483×	`log1p-expm1-u_binary64`
483×	`expm1-log1p-u_binary64`
331×	`unpow-prod-down_binary64`
280×	`log-prod_binary64`
150×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	113	8
2	1336	8

Stop Event

1×	node limit

Counts

1 → 17

Calls

1 calls:

30.0ms

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

simplify29.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

867×	`fma-def_binary64`
496×	`associate-l_binary64`
401×	`associate-r_binary64`
338×	`cancel-sign-sub-inv_binary64`
241×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	168
1	125	160
2	363	139
3	1249	119
4	4517	119

Stop Event

1×	node limit

Counts

25 → 32

prune21.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	3	33

Error

0.0b

Counts

33 → 3

Alt Table

Status	Error	Program
▶	11.3b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))
	24.4b	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
	22.1b	(fma.f64 (sin.f64 im) re (sin.f64 im))

Compiler

Compiled 411 to 202 computations (50.9% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	0.3b	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
✓	11.3b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))

series30.0ms (0.9%)

Counts

2 → 48

Calls

2 calls:

22.0ms	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
7.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))

rewrite39.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`log1p-expm1-u_binary64`
664×	`expm1-log1p-u_binary64`
366×	`log-prod_binary64`
135×	`expm1-udef_binary64`
135×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	176	19
2	1877	19

Stop Event

1×	node limit

Counts

2 → 65

Calls

2 calls:

38.0ms	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
38.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))

simplify40.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

774×	`fma-neg_binary64`
516×	`associate-l_binary64`
497×	`fma-def_binary64`
486×	`associate-r_binary64`
384×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	773
1	232	744
2	863	683
3	3910	678

Stop Event

1×	node limit

Counts

113 → 95

prune65.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	126	4	130

Error

Counts

130 → 4

Alt Table

Status	Error	Program
▶	0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))
✓	11.3b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))
	24.4b	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
	22.1b	(fma.f64 (sin.f64 im) re (sin.f64 im))

Compiler

Compiled 1851 to 907 computations (51% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series20.0ms (0.6%)

Counts

3 → 36

Calls

3 calls:

10.0ms	(*.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)))
2.0ms	(sqrt.f64 (exp.f64 re))

rewrite41.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`log1p-expm1-u_binary64`
649×	`expm1-log1p-u_binary64`
393×	`log-prod_binary64`
136×	`expm1-udef_binary64`
136×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	154	23
2	1830	23

Stop Event

1×	node limit

Counts

3 → 63

Calls

3 calls:

40.0ms	(sqrt.f64 (exp.f64 re))
40.0ms	(*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im))
39.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))

simplify39.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

478×	`fma-neg_binary64`
445×	`fma-def_binary64`
401×	`*-commutative_binary64`
220×	`sub-neg_binary64`
203×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	536
1	222	513
2	682	460
3	2448	426
4	4544	426

Stop Event

1×	node limit

Counts

99 → 101

prune72.0ms (2.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	134	4	138

Error

Counts

138 → 4

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))
✓	11.3b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))
	24.4b	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
▶	22.1b	(fma.f64 (sin.f64 im) re (sin.f64 im))

Compiler

Compiled 1949 to 758 computations (61.1% 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))

rewrite30.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

438×	`log1p-expm1-u_binary64`
438×	`expm1-log1p-u_binary64`
246×	`unpow-prod-down_binary64`
229×	`log-prod_binary64`
141×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	98	9
2	1173	9

Stop Event

1×	node limit

Counts

1 → 39

Calls

1 calls:

29.0ms

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

simplify24.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

682×	`fma-neg_binary64`
549×	`associate--r+_binary64`
422×	`associate-l_binary64`
350×	`fma-def_binary64`
304×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	293
1	139	276
2	491	260
3	2299	252

Stop Event

1×	node limit

Counts

63 → 51

prune22.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	51	4	55

Error

Counts

55 → 4

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))
✓	11.3b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))
	24.4b	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
✓	22.1b	(fma.f64 (sin.f64 im) re (sin.f64 im))

Compiler

Compiled 724 to 301 computations (58.4% saved)

regimes101.0ms (3.2%)

Accuracy

Total 0.0b remaining (23%)

Threshold costs 0.0b (23%)

Counts

25 → 1

Compiler

Compiled 1132 to 805 computations (28.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`unpow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	11	8

Stop Event

1×

saturated

end57.0ms (1.8%)

Compiler: Compiled 54 to 37 computations (31.5% saved)

Details

analyze217.0ms (6.9%)

sample2.2s (70.7%)

simplify6.0ms (0.2%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series7.0ms (0.2%)

rewrite30.0ms (1%)

simplify29.0ms (0.9%)

prune21.0ms (0.7%)

localize6.0ms (0.2%)

series30.0ms (0.9%)

rewrite39.0ms (1.3%)

simplify40.0ms (1.3%)

prune65.0ms (2.1%)

localize6.0ms (0.2%)

series20.0ms (0.6%)

rewrite41.0ms (1.3%)

simplify39.0ms (1.3%)

prune72.0ms (2.3%)

localize4.0ms (0.1%)

series8.0ms (0.3%)

rewrite30.0ms (0.9%)

simplify24.0ms (0.8%)

prune22.0ms (0.7%)

regimes101.0ms (3.2%)

simplify2.0ms (0.1%)

end57.0ms (1.8%)

Profiling