Details

analyze390.0ms (9.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
49.9%	49.9%	0.1%	7
56.2%	43.7%	0.1%	8
56.2%	43.7%	0.1%	9
71.8%	28.1%	0.1%	10
76.5%	23.4%	0.1%	11
76.5%	23.4%	0.1%	12
85%	14.8%	0.1%	13
87.8%	12.1%	0.1%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample69.0ms (1.7%)

Algorithm

1×

intervals

Results

32.0ms	63×	body	1024	valid
15.0ms	149×	body	128	valid
7.0ms	30×	body	512	valid
3.0ms	14×	body	256	valid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	13	12
2	16	12
3	16	12

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))

Compiler

Compiled 42 to 23 computations (45.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
✓	0.1b	(*.f64 z (cos.f64 y))

series22.0ms (0.5%)

Counts

2 → 60

Calls

2 calls:

15.0ms	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
7.0ms	(*.f64 z (cos.f64 y))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`
4×	`add-exp-log_binary64`

Counts

2 → 30

Calls

2 calls:

3.0ms	(*.f64 z (cos.f64 y))
0.0ms	(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))

simplify109.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

660×	`distribute-rgt-neg-in_binary64`
557×	`distribute-lft-neg-in_binary64`
467×	`fma-neg_binary64`
332×	`*-commutative_binary64`
297×	`neg-mul-1_binary64`

Counts

90 → 64

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	960
1	173	908
2	526	895
3	1471	895
4	3145	895
5	4780	895
6	4991	895
7	4926	895

prune40.0ms (1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	58	6	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	6	65

Error

0.0b

Counts

65 → 6

Alt Table

Status	Error	Program
	0.9b	(fma.f64 x (sin.f64 y) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 z) (cos.f64 y))))
	33.8b	(fma.f64 x (sin.f64 y) (.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y)))))
▶	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	1.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
	38.3b	(cbrt.f64 (.f64 (.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
	16.4b	(fma.f64 x (sin.f64 y) (.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))

Compiler

Compiled 1098 to 363 computations (66.9% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
✓	0.1b	(*.f64 (sin.f64 y) x)

series25.0ms (0.6%)

Counts

2 → 40

Calls

2 calls:

17.0ms	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
8.0ms	(*.f64 (sin.f64 y) x)

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`
4×	`add-exp-log_binary64`

Counts

2 → 30

Calls

2 calls:

3.0ms	(*.f64 (sin.f64 y) x)
0.0ms	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))

simplify77.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

410×	`fma-neg_binary64`
405×	`distribute-rgt-neg-in_binary64`
347×	`distribute-lft-neg-in_binary64`
293×	`distribute-rgt-in_binary64`
279×	`distribute-lft-in_binary64`

Counts

70 → 66

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	852
1	184	793
2	507	781
3	1282	780
4	2630	780
5	4874	780
6	4926	780

prune48.0ms (1.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	65	7	72

Error

0.0b

Counts

72 → 7

Alt Table

Status	Error	Program
	0.9b	(fma.f64 x (sin.f64 y) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 z) (cos.f64 y))))
▶	0.1b	(fma.f64 (cos.f64 y) z (.f64 1 (.f64 x (sin.f64 y))))
	33.8b	(fma.f64 x (sin.f64 y) (.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y)))))
	30.0b	(fma.f64 (cos.f64 y) z (.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) x)))
	1.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
	38.3b	(cbrt.f64 (.f64 (.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
	16.4b	(fma.f64 x (sin.f64 y) (.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))

Compiler

Compiled 1143 to 389 computations (66% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (cos.f64 y) z (.f64 1 (.f64 x (sin.f64 y))))
✓	0.1b	(*.f64 x (sin.f64 y))

series22.0ms (0.5%)

Counts

2 → 60

Calls

2 calls:

15.0ms	(fma.f64 (cos.f64 y) z (.f64 1 (.f64 x (sin.f64 y))))
7.0ms	(*.f64 x (sin.f64 y))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`
4×	`add-exp-log_binary64`

Counts

2 → 30

Calls

2 calls:

3.0ms	(*.f64 x (sin.f64 y))
0.0ms	(fma.f64 (cos.f64 y) z (.f64 1 (.f64 x (sin.f64 y))))

simplify105.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

499×	`fma-neg_binary64`
448×	`distribute-rgt-neg-in_binary64`
363×	`distribute-lft-neg-in_binary64`
313×	`distribute-rgt-in_binary64`
279×	`*-commutative_binary64`

Counts

90 → 66

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	972
1	186	913
2	552	901
3	1444	900
4	2860	900
5	4825	900
6	4932	900
7	4976	900

prune50.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	66	7	73

Error

0.0b

Counts

73 → 7

Alt Table

Status	Error	Program
▶	0.9b	(fma.f64 x (sin.f64 y) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 z) (cos.f64 y))))
✓	0.1b	(fma.f64 (cos.f64 y) z (.f64 1 (.f64 x (sin.f64 y))))
	33.8b	(fma.f64 x (sin.f64 y) (.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y)))))
	30.0b	(fma.f64 (cos.f64 y) z (.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) x)))
	1.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
	38.3b	(cbrt.f64 (.f64 (.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
	16.4b	(fma.f64 x (sin.f64 y) (.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))

Compiler

Compiled 1241 to 504 computations (59.4% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cbrt.f64 z) (cos.f64 y))
✓	0.3b	(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 z) (cos.f64 y)))
✓	0.4b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
✓	0.6b	(cbrt.f64 z)

series247.0ms (6%)

Counts

4 → 72

Calls

4 calls:

156.0ms	(*.f64 (cbrt.f64 z) (cos.f64 y))
37.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
34.0ms	(cbrt.f64 z)
20.0ms	(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 z) (cos.f64 y)))

rewrite37.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
25×	`pow1_binary64`
23×	`cbrt-prod_binary64`
20×	`add-exp-log_binary64`
16×	`*-un-lft-identity_binary64`

Counts

4 → 103

Calls

4 calls:

13.0ms	(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 z) (cos.f64 y)))
7.0ms	(*.f64 (cbrt.f64 z) (cos.f64 y))
6.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)

simplify147.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

519×	`fma-neg_binary64`
458×	`*-commutative_binary64`
421×	`cancel-sign-sub-inv_binary64`
385×	`unswap-sqr_binary64`
323×	`sub-neg_binary64`

Counts

175 → 151

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	138	1636
1	297	1460
2	1128	1401
3	2242	1385
4	4280	1287
5	4570	1287
6	4884	1287
7	4872	1287

prune116.0ms (2.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	185	2	187
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	185	9	194

Error

0.0b

Counts

194 → 9

Alt Table

Status	Error	Program
✓	0.9b	(fma.f64 x (sin.f64 y) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 z) (cos.f64 y))))
✓	0.1b	(fma.f64 (cos.f64 y) z (.f64 1 (.f64 x (sin.f64 y))))
	33.8b	(fma.f64 x (sin.f64 y) (.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y)))))
	30.0b	(fma.f64 (cos.f64 y) z (.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) x)))
	1.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
	19.8b	(fma.f64 x (sin.f64 y) (.f64 (cbrt.f64 (.f64 z z)) (*.f64 (cbrt.f64 z) (cos.f64 y))))
	1.1b	(fma.f64 x (sin.f64 y) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 z) (cos.f64 y))) (cbrt.f64 (.f64 (cbrt.f64 z) (cos.f64 y)))) (cbrt.f64 (*.f64 (cbrt.f64 z) (cos.f64 y))))))
	38.3b	(cbrt.f64 (.f64 (.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
	16.4b	(fma.f64 x (sin.f64 y) (.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))

Compiler

Compiled 3834 to 1037 computations (73% saved)

regimes258.0ms (6.3%)

Accuracy

Total 0.1b remaining (49.6%)

Threshold costs 0.1b (49.6%)

Counts

65 → 1

Compiler

Compiled 4900 to 2666 computations (45.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`*-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	14	12
2	13	12

end0.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

sample2.3s (55.7%)

Algorithm

1×

intervals

Results

1.1s	2047×	body	1024	valid
398.0ms	4452×	body	128	valid
255.0ms	971×	body	512	valid
92.0ms	526×	body	256	valid
7.0ms	4×	body	2048	valid

Compiler

Compiled 220 to 109 computations (50.5% saved)

Details

analyze390.0ms (9.5%)

sample69.0ms (1.7%)

simplify7.0ms (0.2%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

series22.0ms (0.5%)

rewrite5.0ms (0.1%)

simplify109.0ms (2.7%)

prune40.0ms (1%)

localize8.0ms (0.2%)

series25.0ms (0.6%)

rewrite4.0ms (0.1%)

simplify77.0ms (1.9%)

prune48.0ms (1.2%)

localize8.0ms (0.2%)

series22.0ms (0.5%)

rewrite4.0ms (0.1%)

simplify105.0ms (2.5%)

prune50.0ms (1.2%)

localize12.0ms (0.3%)

series247.0ms (6%)

rewrite37.0ms (0.9%)

simplify147.0ms (3.6%)

prune116.0ms (2.8%)

regimes258.0ms (6.3%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.3s (55.7%)

Profiling