Details

analyze288.0ms (9.1%)

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
81.2%	18.7%	0.1%	5
81.2%	15.6%	3.2%	6
81.2%	15.6%	3.2%	7
81.2%	14%	4.8%	8
81.2%	14%	4.8%	9
81.2%	13.3%	5.6%	10
81.2%	13.3%	5.6%	11
81.2%	12.9%	6%	12
81.2%	12.9%	6%	13
81.2%	12.7%	6.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample51.0ms (1.6%)

Algorithm

1×

intervals

Results

14.0ms	34×	body	1024	valid
10.0ms	193×	body	128	valid
8.0ms	17×	body	512	valid
4.0ms	15×	body	1024	invalid
2.0ms	31×	body	128	invalid
1.0ms	12×	body	256	valid
1.0ms	6×	body	512	invalid
1.0ms	1×	body	2048	invalid
0.0ms	4×	body	256	invalid

Compiler

Compiled 17 to 13 computations (23.5% 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))

series10.0ms (0.3%)

Counts

1 → 8

Calls

1 calls:

10.0ms

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

rewrite5.0ms (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:

4.0ms

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

simplify65.0ms (2%)

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

prune22.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	3	45

Error

0.0b

Counts

45 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
▶	13.4b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))
	34.6b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))

Compiler

Compiled 544 to 214 computations (60.7% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (sin.f64 im) (exp.f64 re))
✓	0.2b	(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3)
✓	13.4b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))

series50.0ms (1.6%)

Counts

3 → 72

Calls

3 calls:

32.0ms	(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3)
10.0ms	(*.f64 (sin.f64 im) (exp.f64 re))
8.0ms	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
8×	`cbrt-prod_binary64`
8×	`add-cbrt-cube_binary64`
8×	`pow1_binary64`
7×	`*-un-lft-identity_binary64`

Counts

3 → 63

Calls

3 calls:

4.0ms	(*.f64 (sin.f64 im) (exp.f64 re))
4.0ms	(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))

simplify91.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

595×	`fma-def_binary64`
555×	`unswap-sqr_binary64`
381×	`*-commutative_binary64`
374×	`fma-neg_binary64`
295×	`exp-prod_binary64`

Counts

135 → 112

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	138	1811
1	327	1720
2	1182	1610
3	2988	1580
4	4663	1577
5	5067	1577

prune55.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	111	4	115

Error

Counts

115 → 4

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
▶	13.4b	(*.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 3)) (cbrt.f64 (pow.f64 (exp.f64 re) 3)))
✓	13.4b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))
	34.6b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))

Compiler

Compiled 1683 to 818 computations (51.4% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (exp.f64 re) 3)
✓	0.0b	(cbrt.f64 (pow.f64 (exp.f64 re) 3))
✓	0.3b	(pow.f64 (sin.f64 im) 3)
✓	19.5b	(cbrt.f64 (pow.f64 (sin.f64 im) 3))

series16.0ms (0.5%)

Counts

4 → 32

Calls

4 calls:

6.0ms	(pow.f64 (sin.f64 im) 3)
6.0ms	(pow.f64 (exp.f64 re) 3)
2.0ms	(cbrt.f64 (pow.f64 (sin.f64 im) 3))
2.0ms	(cbrt.f64 (pow.f64 (exp.f64 re) 3))

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64`
17×	`*-un-lft-identity_binary64`
17×	`add-sqr-sqrt_binary64`
17×	`add-cube-cbrt_binary64`
12×	`cube-prod_binary64`

Counts

4 → 99

Calls

4 calls:

2.0ms	(pow.f64 (exp.f64 re) 3)
2.0ms	(pow.f64 (sin.f64 im) 3)
2.0ms	(cbrt.f64 (pow.f64 (exp.f64 re) 3))
2.0ms	(cbrt.f64 (pow.f64 (sin.f64 im) 3))

simplify76.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

390×	`log-prod_binary64`
369×	`distribute-rgt-in_binary64`
360×	`unswap-sqr_binary64`
355×	`distribute-lft-in_binary64`
237×	`exp-prod_binary64`

Counts

131 → 142

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	1007
1	281	965
2	833	924
3	2290	924
4	4880	924
5	5034	924

prune100.0ms (3.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	142	4	146

Error

Counts

146 → 4

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	13.4b	(*.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 3)) (cbrt.f64 (pow.f64 (exp.f64 re) 3)))
✓	13.4b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))
▶	34.6b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))

Compiler

Compiled 2260 to 1479 computations (34.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(log.f64 (sin.f64 im))
✓	0.9b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))

series364.0ms (11.5%)

Counts

2 → 12

Calls

2 calls:

189.0ms	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
176.0ms	(log.f64 (sin.f64 im))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
5×	`exp-prod_binary64`
4×	`add-log-exp_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64`

Counts

2 → 31

Calls

2 calls:

3.0ms	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
1.0ms	(log.f64 (sin.f64 im))

simplify80.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

594×	`cancel-sign-sub-inv_binary64`
589×	`prod-exp_binary64`
463×	`fma-neg_binary64`
405×	`*-commutative_binary64`
344×	`sub-neg_binary64`

Counts

43 → 60

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	562
1	198	489
2	514	467
3	1602	454
4	3838	454
5	4729	454
6	5572	454

prune123.0ms (3.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	60	4	64

Error

Counts

64 → 4

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	13.4b	(*.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 3)) (cbrt.f64 (pow.f64 (exp.f64 re) 3)))
✓	13.4b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))
✓	34.6b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))

Compiler

Compiled 778 to 329 computations (57.7% saved)

regimes93.0ms (2.9%)

Accuracy

Total 0.0b remaining (38%)

Threshold costs 0.0b (38%)

Counts

8 → 1

Compiler

Compiled 412 to 275 computations (33.3% 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

end0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

sample1.6s (50.9%)

Algorithm

1×

intervals

Results

476.0ms	1377×	body	1024	valid
323.0ms	5635×	body	128	valid
182.0ms	642×	body	1024	invalid
100.0ms	635×	body	512	valid
62.0ms	328×	body	512	invalid
49.0ms	854×	body	128	invalid
37.0ms	349×	body	256	valid
20.0ms	138×	body	256	invalid
3.0ms	4×	body	2048	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 55 to 43 computations (21.8% saved)

Details

analyze288.0ms (9.1%)

sample51.0ms (1.6%)

simplify7.0ms (0.2%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series10.0ms (0.3%)

rewrite5.0ms (0.2%)

simplify65.0ms (2%)

prune22.0ms (0.7%)

localize7.0ms (0.2%)

series50.0ms (1.6%)

rewrite12.0ms (0.4%)

simplify91.0ms (2.9%)

prune55.0ms (1.7%)

localize11.0ms (0.3%)

series16.0ms (0.5%)

rewrite10.0ms (0.3%)

simplify76.0ms (2.4%)

prune100.0ms (3.1%)

localize6.0ms (0.2%)

series364.0ms (11.5%)

rewrite5.0ms (0.2%)

simplify80.0ms (2.5%)

prune123.0ms (3.9%)

regimes93.0ms (2.9%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.6s (50.9%)

Profiling