Details

analyze1.5s (30.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
7.8%	92%	0.2%	11
11.7%	88.1%	0.2%	12
17.9%	81.8%	0.2%	13
22.6%	77.2%	0.2%	14

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.3s (26.2%)

Alt Table

Status	Error	Program
▶	0.1b	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))

Results

1.1s	8124×	body	128	valid
93.0ms	687×	body	128	invalid
18.0ms	47×	body	1024	valid
15.0ms	34×	body	2048	valid
9.0ms	32×	body	512	valid
6.0ms	18×	body	256	valid
1.0ms	1×	body	4096	valid

Compiler

Compiled 92 to 67 computations (27.2% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
✓	0.0b	(*.f64 60 (-.f64 x y))
✓	0.2b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

series92.0ms (1.8%)

Counts

3 → 132

Calls

3 calls:

50.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
38.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
4.0ms	(*.f64 60 (-.f64 x y))

rewrite81.0ms (1.6%)

Algorithm

2×	batch-egg-rewrite

Rules

298×	`expm1-udef_binary64`
298×	`log1p-udef_binary64`
164×	`add-sqr-sqrt_binary64`
159×	`log1p-expm1-u_binary64`
159×	`expm1-log1p-u_binary64`

Counts

3 → 101

Calls

3 calls:

78.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
78.0ms	(*.f64 60 (-.f64 x y))
78.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	318	37
2	4373	37
3	5200	37
0	0	0
1	0	0

prune184.0ms (3.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	228	5	233
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	229	5	234

Error

Counts

234 → 5

Alt Table

Status	Error	Program
	0.1b	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
▶	0.1b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
	0.6b	(+.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t))) 3) (.f64 a 120))
	0.6b	(+.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 60 (-.f64 x y))) 2) (pow.f64 (cbrt.f64 (-.f64 z t)) 2)) (cbrt.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)))) (.f64 a 120))
	0.1b	(+.f64 (.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y)) (.f64 a 120))

Compiler

Compiled 5587 to 3101 computations (44.5% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
✓	0.0b	(*.f64 60 (-.f64 x y))
✓	0.2b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

series86.0ms (1.7%)

Counts

3 → 132

Calls

3 calls:

42.0ms	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
40.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
4.0ms	(*.f64 60 (-.f64 x y))

rewrite81.0ms (1.6%)

Algorithm

2×	batch-egg-rewrite

Rules

968×	`prod-diff_binary64`
149×	`add-sqr-sqrt_binary64`
143×	`log1p-expm1-u_binary64`
143×	`expm1-log1p-u_binary64`
139×	`add-log-exp_binary64`

Counts

3 → 87

Calls

3 calls:

79.0ms	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
79.0ms	(*.f64 60 (-.f64 x y))
79.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	289	37
2	3833	37
3	5806	37
0	0	0
1	0	0

prune195.0ms (3.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	215	4	219
Fresh	4	0	4
Picked	0	1	1
Done	0	0	0
Total	219	5	224

Error

Counts

224 → 5

Alt Table

Status	Error	Program
	0.1b	(fma.f64 a 120 (*.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y)))
▶	0.1b	(fma.f64 a 120 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
✓	0.1b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
	0.6b	(fma.f64 a 120 (pow.f64 (cbrt.f64 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))) 3))
	0.6b	(fma.f64 a 120 (.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 60 (-.f64 x y))) 2) (pow.f64 (cbrt.f64 (-.f64 z t)) 2)) (cbrt.f64 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))))

Compiler

Compiled 4966 to 2715 computations (45.3% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a 120 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 z t))
✓	0.3b	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))

series103.0ms (2.1%)

Counts

3 → 156

Calls

3 calls:

41.0ms	(fma.f64 a 120 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
36.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
27.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

rewrite86.0ms (1.7%)

Algorithm

2×	batch-egg-rewrite

Rules

274×	`expm1-udef_binary64`
274×	`log1p-udef_binary64`
211×	`fma-neg_binary64`
151×	`add-sqr-sqrt_binary64`
145×	`log1p-expm1-u_binary64`

Counts

3 → 96

Calls

3 calls:

79.0ms	(fma.f64 a 120 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
79.0ms	(/.f64 (-.f64 x y) (-.f64 z t))
79.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	292	40
2	3916	40
3	4912	40
0	0	0
1	0	0

prune207.0ms (4.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	251	1	252
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	252	5	257

Error

Counts

257 → 5

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 a 120 (*.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y)))
✓	0.1b	(fma.f64 a 120 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
	0.6b	(fma.f64 a 120 (.f64 60 (.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 (-.f64 z t))))))
✓	0.1b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
	0.6b	(fma.f64 a 120 (.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 60 (-.f64 x y))) 2) (pow.f64 (cbrt.f64 (-.f64 z t)) 2)) (cbrt.f64 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))))

Compiler

Compiled 6157 to 3104 computations (49.6% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 60 (-.f64 z t))
✓	0.0b	(fma.f64 a 120 (*.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y)))
✓	0.2b	(*.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y))

series83.0ms (1.7%)

Counts

3 → 132

Calls

3 calls:

39.0ms	(fma.f64 a 120 (*.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y)))
34.0ms	(*.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y))
9.0ms	(/.f64 60 (-.f64 z t))

rewrite69.0ms (1.4%)

Algorithm

2×	batch-egg-rewrite

Rules

907×	`prod-diff_binary64`
149×	`add-sqr-sqrt_binary64`
143×	`log1p-expm1-u_binary64`
143×	`expm1-log1p-u_binary64`
139×	`add-log-exp_binary64`

Counts

3 → 90

Calls

3 calls:

67.0ms	(/.f64 60 (-.f64 z t))
67.0ms	(fma.f64 a 120 (*.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y)))
67.0ms	(*.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	290	37
2	3749	37
3	5565	37
0	0	0
1	0	0

prune172.0ms (3.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	221	1	222
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	223	4	227

Error

Counts

227 → 4

Alt Table

Status	Error	Program
	0.1b	(fma.f64 a 120 (/.f64 (-.f64 x y) (/.f64 (-.f64 z t) 60)))
✓	0.1b	(fma.f64 a 120 (*.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y)))
✓	0.1b	(fma.f64 a 120 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
✓	0.1b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))

Compiler

Compiled 5182 to 2862 computations (44.8% saved)

regimes601.0ms (12%)

Accuracy

Total 0.1b remaining (92.3%)

Threshold costs 0.1b (92.3%)

Counts

52 → 1

Compiler

Compiled 12244 to 8752 computations (28.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	17
1	17	17
2	25	17
3	29	17
4	31	17
5	31	17

end62.0ms (1.3%)

Compiler: Compiled 102 to 72 computations (29.4% saved)

Details

analyze1.5s (30.9%)

sample1.3s (26.2%)

localize9.0ms (0.2%)

series92.0ms (1.8%)

rewrite81.0ms (1.6%)

prune184.0ms (3.7%)

localize9.0ms (0.2%)

series86.0ms (1.7%)

rewrite81.0ms (1.6%)

prune195.0ms (3.9%)

localize8.0ms (0.2%)

series103.0ms (2.1%)

rewrite86.0ms (1.7%)

prune207.0ms (4.1%)

localize10.0ms (0.2%)

series83.0ms (1.7%)

rewrite69.0ms (1.4%)

prune172.0ms (3.4%)

regimes601.0ms (12%)

simplify2.0ms (0%)

end62.0ms (1.3%)

Profiling