Details

analyze205.0ms (7.3%)

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 (80.7%)

Results

781.0ms	1431×	body	1024	valid
692.0ms	5823×	body	128	valid
314.0ms	669×	body	1024	invalid
198.0ms	667×	body	512	valid
104.0ms	336×	body	512	invalid
65.0ms	333×	body	256	valid
37.0ms	270×	body	128	invalid
33.0ms	169×	body	256	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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8

Stop Event

1×

saturated

Counts

1 → 1

prune1.0ms (0.1%)

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))

series9.0ms (0.3%)

Counts

1 → 8

Calls

1 calls:

8.0ms

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

rewrite29.0ms (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:

29.0ms

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

simplify31.0ms (1.1%)

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

prune15.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Error

Counts

33 → 2

Alt Table

Status	Error	Program
▶	15.9b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 382 to 183 computations (52.1% 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))
✓	0.2b	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
✓	15.9b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))

series32.0ms (1.2%)

Counts

2 → 48

Calls

2 calls:

25.0ms	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
7.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))

rewrite40.0ms (1.4%)

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:

39.0ms	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
39.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))

simplify37.0ms (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

prune53.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	127	2	129

Error

Counts

129 → 2

Alt Table

Status	Error	Program
✓	15.9b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 1798 to 874 computations (51.4% saved)

regimes31.0ms (1.1%)

Accuracy

Total 0.0b remaining (18.9%)

Threshold costs 0.0b (18.9%)

Counts

5 → 1

Compiler

Compiled 207 to 150 computations (27.5% 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

Stop Event

1×

saturated

end38.0ms (1.3%)

Compiler: Compiled 31 to 23 computations (25.8% saved)

Details

analyze205.0ms (7.3%)

sample2.3s (80.7%)

simplify6.0ms (0.2%)

prune1.0ms (0.1%)

localize4.0ms (0.1%)

series9.0ms (0.3%)

rewrite29.0ms (1%)

simplify31.0ms (1.1%)

prune15.0ms (0.5%)

localize6.0ms (0.2%)

series32.0ms (1.2%)

rewrite40.0ms (1.4%)

simplify37.0ms (1.3%)

prune53.0ms (1.9%)

regimes31.0ms (1.1%)

simplify2.0ms (0.1%)

end38.0ms (1.3%)

Profiling