Details

analyze1.5s (29%)

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)

sample1.2s (24.1%)

Results

1.0s	8137×	body	128	valid
84.0ms	671×	body	128	invalid
15.0ms	39×	body	1024	valid
15.0ms	35×	body	2048	valid
8.0ms	29×	body	512	valid
3.0ms	5×	body	4096	valid
2.0ms	11×	body	256	valid

Compiler

Compiled 56 to 41 computations (26.8% saved)

simplify25.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

681×	`fma-def_binary64`
523×	`div-sub_binary64`
520×	`fma-neg_binary64`
422×	`times-frac_binary64`
190×	`associate-/l/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	23	17
2	46	17
3	93	17
4	200	17
5	408	17
6	869	17
7	2310	17

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.2b	(fma.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)) (*.f64 a 120))
▶	0.1b	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))

Compiler

Compiled 100 to 68 computations (32% saved)

localize8.0ms (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))

series83.0ms (1.6%)

Counts

3 → 132

Calls

3 calls:

43.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
37.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
3.0ms	(*.f64 60 (-.f64 x y))

rewrite68.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

298×	`log1p-udef_binary64`
164×	`add-sqr-sqrt_binary64`
159×	`log1p-expm1-u_binary64`
159×	`expm1-log1p-u_binary64`
158×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	318	37
2	4608	37

Stop Event

1×	node limit

Counts

3 → 101

Calls

3 calls:

64.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
64.0ms	(*.f64 60 (-.f64 x y))
64.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

simplify65.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

716×	`times-frac_binary64`
660×	`cancel-sign-sub-inv_binary64`
286×	`sub-neg_binary64`
206×	`fma-neg_binary64`
205×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	3761
1	569	3600
2	2178	3360

Stop Event

1×	node limit

Counts

233 → 151

prune141.0ms (2.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	147	4	151
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	148	5	153

Error

0.0b

Counts

153 → 5

Alt Table

Status	Error	Program
▶	0.1b	(+.f64 (/.f64 (-.f64 (.f64 60 x) (.f64 60 y)) (-.f64 z t)) (*.f64 a 120))
	0.2b	(fma.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)) (*.f64 a 120))
	0.2b	(fma.f64 a 120 (/.f64 (-.f64 x y) (/.f64 (-.f64 z t) 60)))
	0.8b	(+.f64 (.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 (-.f64 z t)) 2)) (/.f64 60 (cbrt.f64 (-.f64 z t)))) (.f64 a 120))
	0.2b	(+.f64 (.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y)) (.f64 a 120))

Compiler

Compiled 3986 to 2189 computations (45.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series87.0ms (1.7%)

Counts

3 → 114

Calls

3 calls:

53.0ms	(+.f64 (/.f64 (-.f64 (.f64 60 x) (.f64 60 y)) (-.f64 z t)) (*.f64 a 120))
30.0ms	(/.f64 (-.f64 (.f64 60 x) (.f64 60 y)) (-.f64 z t))
4.0ms	(-.f64 (.f64 60 x) (.f64 60 y))

rewrite40.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

180×	`add-sqr-sqrt_binary64`
174×	`log1p-expm1-u_binary64`
174×	`expm1-log1p-u_binary64`
173×	`add-cbrt-cube_binary64`
168×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	353	37

Stop Event

1×	node limit

Counts

3 → 127

Calls

3 calls:

37.0ms	(+.f64 (/.f64 (-.f64 (.f64 60 x) (.f64 60 y)) (-.f64 z t)) (*.f64 a 120))
37.0ms	(-.f64 (.f64 60 x) (.f64 60 y))
37.0ms	(/.f64 (-.f64 (.f64 60 x) (.f64 60 y)) (-.f64 z t))

simplify70.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

721×	`times-frac_binary64`
663×	`cancel-sign-sub-inv_binary64`
287×	`sub-neg_binary64`
207×	`fma-neg_binary64`
205×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	3629
1	565	3474
2	2189	3234

Stop Event

1×	node limit

Counts

241 → 177

prune143.0ms (2.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	177	5	182

Error

0.0b

Counts

182 → 5

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 (/.f64 (-.f64 (.f64 60 x) (.f64 60 y)) (-.f64 z t)) (*.f64 a 120))
	0.2b	(fma.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)) (*.f64 a 120))
	0.2b	(fma.f64 a 120 (/.f64 (-.f64 x y) (/.f64 (-.f64 z t) 60)))
	0.8b	(+.f64 (.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 (-.f64 z t)) 2)) (/.f64 60 (cbrt.f64 (-.f64 z t)))) (.f64 a 120))
▶	0.2b	(+.f64 (.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y)) (.f64 a 120))

Compiler

Compiled 4793 to 2648 computations (44.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series88.0ms (1.7%)

Counts

3 → 132

Calls

3 calls:

46.0ms	(+.f64 (.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y)) (.f64 a 120))
34.0ms	(*.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y))
8.0ms	(/.f64 60 (-.f64 z t))

rewrite61.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

297×	`log1p-udef_binary64`
164×	`add-sqr-sqrt_binary64`
159×	`log1p-expm1-u_binary64`
159×	`expm1-log1p-u_binary64`
158×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	320	37
2	4523	37

Stop Event

1×	node limit

Counts

3 → 104

Calls

3 calls:

59.0ms	(+.f64 (.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y)) (.f64 a 120))
59.0ms	(/.f64 60 (-.f64 z t))
59.0ms	(*.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y))

simplify71.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

807×	`times-frac_binary64`
674×	`cancel-sign-sub-inv_binary64`
293×	`sub-neg_binary64`
249×	`fma-def_binary64`
228×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	4151
1	672	3969
2	2553	3954

Stop Event

1×	node limit

Counts

236 → 167

prune133.0ms (2.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	167	5	172

Error

0.0b

Counts

172 → 5

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 (/.f64 (-.f64 (.f64 60 x) (.f64 60 y)) (-.f64 z t)) (*.f64 a 120))
▶	0.2b	(fma.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)) (*.f64 a 120))
	0.2b	(fma.f64 a 120 (/.f64 (-.f64 x y) (/.f64 (-.f64 z t) 60)))
	0.8b	(+.f64 (.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 (-.f64 z t)) 2)) (/.f64 60 (cbrt.f64 (-.f64 z t)))) (.f64 a 120))
✓	0.2b	(+.f64 (.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y)) (.f64 a 120))

Compiler

Compiled 4407 to 2338 computations (46.9% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 z t))
✓	0.1b	(fma.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)) (*.f64 a 120))

series59.0ms (1.2%)

Counts

2 → 108

Calls

2 calls:

36.0ms	(fma.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)) (*.f64 a 120))
24.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

rewrite57.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

272×	`expm1-udef_binary64`
272×	`log1p-udef_binary64`
212×	`fma-neg_binary64`
150×	`add-sqr-sqrt_binary64`
144×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	27
1	290	27
2	4023	27

Stop Event

1×	node limit

Counts

2 → 74

Calls

2 calls:

56.0ms	(/.f64 (-.f64 x y) (-.f64 z t))
56.0ms	(fma.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)) (*.f64 a 120))

simplify60.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

711×	`times-frac_binary64`
462×	`associate-/l*_binary64`
458×	`cancel-sign-sub-inv_binary64`
275×	`sub-neg_binary64`
149×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	3389
1	558	3270
2	2053	3006

Stop Event

1×	node limit

Counts

182 → 124

prune94.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	124	5	129

Error

0.0b

Counts

129 → 5

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 (/.f64 (-.f64 (.f64 60 x) (.f64 60 y)) (-.f64 z t)) (*.f64 a 120))
✓	0.2b	(fma.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)) (*.f64 a 120))
	0.2b	(fma.f64 a 120 (/.f64 (-.f64 x y) (/.f64 (-.f64 z t) 60)))
	0.8b	(+.f64 (.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 (-.f64 z t)) 2)) (/.f64 60 (cbrt.f64 (-.f64 z t)))) (.f64 a 120))
✓	0.2b	(+.f64 (.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y)) (.f64 a 120))

Compiler

Compiled 3157 to 1503 computations (52.4% saved)

regimes897.0ms (17.7%)

Accuracy

Total 0.5b remaining (98.5%)

Threshold costs 0.5b (98.5%)

Counts

68 → 1

Compiler

Compiled 14431 to 10526 computations (27.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	20
1	20	20
2	25	20
3	27	20
4	28	20

Stop Event

1×

saturated

end89.0ms (1.8%)

Compiler: Compiled 136 to 97 computations (28.7% saved)

Details

analyze1.5s (29%)

sample1.2s (24.1%)

simplify25.0ms (0.5%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

series83.0ms (1.6%)

rewrite68.0ms (1.4%)

simplify65.0ms (1.3%)

prune141.0ms (2.8%)

localize9.0ms (0.2%)

series87.0ms (1.7%)

rewrite40.0ms (0.8%)

simplify70.0ms (1.4%)

prune143.0ms (2.8%)

localize8.0ms (0.2%)

series88.0ms (1.7%)

rewrite61.0ms (1.2%)

simplify71.0ms (1.4%)

prune133.0ms (2.6%)

localize8.0ms (0.2%)

series59.0ms (1.2%)

rewrite57.0ms (1.1%)

simplify60.0ms (1.2%)

prune94.0ms (1.9%)

regimes897.0ms (17.7%)

simplify3.0ms (0.1%)

end89.0ms (1.8%)

Profiling