Details

analyze620.0ms (14.5%)

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
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
42.1%	57.7%	0.1%	9
56.9%	42.9%	0.1%	10
59.5%	40.4%	0.1%	11
68.1%	31.8%	0.1%	12
75.1%	24.4%	0.5%	13
75.7%	23.3%	1%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample2.0s (47.5%)

Results

763.0ms	5600×	body	128	valid
736.0ms	1389×	body	1024	valid
298.0ms	836×	body	512	valid
109.0ms	431×	body	256	valid
71.0ms	529×	body	128	invalid
24.0ms	70×	body	512	invalid
9.0ms	18×	body	1024	invalid
9.0ms	38×	body	256	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess22.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

54×	`associate-/l*_binary64`
47×	`*-commutative_binary64`
38×	`associate-/r/_binary64`
24×	`associate-*l/_binary64`
20×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	38	48
2	83	48
3	176	48
4	255	48
5	291	48
0	3	3

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
12×	`*-commutative_binary64`
10×	`associate-/r/_binary64`
6×	`associate-*l/_binary64`
5×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	13	12
2	25	12
3	50	12
4	71	12
5	81	12

Stop Event

1×

saturated

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
	7.9b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
▶	1.5b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Compiler

Compiled 63 to 38 computations (39.7% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	0.1b	(/.f64 (sin.f64 y) y)
✓	1.4b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series37.0ms (0.9%)

Counts

3 → 64

Calls

18 calls:

3.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)	y	inf
3.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)	x	-inf
3.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)	z	-inf
3.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)	x	0
3.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)	x	inf

rewrite54.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`log-prod_binary64`
172×	`pow1/3_binary64`
165×	`expm1-udef_binary64`
165×	`log1p-udef_binary64`
156×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	172	27
2	2531	27

Stop Event

1×	node limit

Counts

3 → 116

simplify35.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-def_binary64`
620×	`associate-l_binary64`
538×	`cancel-sign-sub-inv_binary64`
405×	`associate-/l*_binary64`
366×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	790
1	144	783
2	426	765
3	1512	759

Stop Event

1×	node limit

Counts

180 → 141

prune105.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	135	6	141
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	136	7	143

Error

Counts

143 → 7

Alt Table

Status	Error	Program
✓	1.5b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
	1.6b	(*.f64 (/.f64 x (/.f64 y (sin.f64 y))) (/.f64 1 z))
▶	1.6b	(+.f64 0 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))))
	1.7b	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
	9.5b	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
	1.8b	(/.f64 (.f64 x (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))) z)
	2.5b	(pow.f64 (cbrt.f64 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))) 3)

Compiler

Compiled 2090 to 838 computations (59.9% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 y (sin.f64 y))
✓	0.1b	(*.f64 z (/.f64 y (sin.f64 y)))
✓	1.5b	(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))

series55.0ms (1.3%)

Counts

3 → 64

Calls

18 calls:

7.0ms	(*.f64 z (/.f64 y (sin.f64 y)))	y	-inf
7.0ms	(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))	z	inf
3.0ms	(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))	x	-inf
3.0ms	(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))	x	0
3.0ms	(*.f64 z (/.f64 y (sin.f64 y)))	z	-inf

rewrite57.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`log-prod_binary64`
242×	`pow2_binary64`
172×	`pow1/3_binary64`
165×	`expm1-udef_binary64`
165×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	172	27
2	2519	27

Stop Event

1×	node limit

Counts

3 → 117

simplify47.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

719×	`fma-def_binary64`
571×	`fma-neg_binary64`
563×	`cancel-sign-sub-inv_binary64`
256×	`associate-/l*_binary64`
225×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	57	782
1	152	776
2	416	765
3	1332	759
4	3948	755

Stop Event

1×	node limit

Counts

181 → 142

prune114.0ms (2.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	142	7	149

Error

Counts

149 → 7

Alt Table

Status	Error	Program
	10.4b	(+.f64 0 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)))
▶	1.6b	(*.f64 (/.f64 x (/.f64 y (sin.f64 y))) (/.f64 1 z))
✓	1.5b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
✓	1.6b	(+.f64 0 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))))
	1.7b	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
	9.5b	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
	1.8b	(/.f64 (.f64 x (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))) z)

Compiler

Compiled 2321 to 1110 computations (52.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
	0.1b	(/.f64 y (sin.f64 y))
✓	1.6b	(*.f64 (/.f64 x (/.f64 y (sin.f64 y))) (/.f64 1 z))

series36.0ms (0.8%)

Counts

2 → 60

Calls

15 calls:

5.0ms	(*.f64 (/.f64 x (/.f64 y (sin.f64 y))) (/.f64 1 z))	x	-inf
3.0ms	(*.f64 (/.f64 x (/.f64 y (sin.f64 y))) (/.f64 1 z))	x	0
3.0ms	(*.f64 (/.f64 x (/.f64 y (sin.f64 y))) (/.f64 1 z))	x	inf
3.0ms	(*.f64 (/.f64 x (/.f64 y (sin.f64 y))) (/.f64 1 z))	z	-inf
3.0ms	(*.f64 (/.f64 x (/.f64 y (sin.f64 y))) (/.f64 1 z))	y	-inf

rewrite56.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

619×	`log-prod_binary64`
203×	`log-div_binary64`
191×	`expm1-udef_binary64`
191×	`log1p-udef_binary64`
174×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	217	21
2	3195	21

Stop Event

1×	node limit

Counts

2 → 104

simplify32.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

520×	`fma-def_binary64`
507×	`associate-l_binary64`
498×	`associate-r_binary64`
409×	`cancel-sign-sub-inv_binary64`
357×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	734
1	118	733
2	358	721
3	1241	715

Stop Event

1×	node limit

Counts

164 → 121

prune117.0ms (2.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	164	2	166
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	166	7	173

Error

Counts

173 → 7

Alt Table

Status	Error	Program
✓	1.5b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
	7.8b	(/.f64 x (/.f64 (*.f64 y z) (sin.f64 y)))
	10.4b	(+.f64 0 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)))
✓	1.6b	(*.f64 (/.f64 x (/.f64 y (sin.f64 y))) (/.f64 1 z))
✓	1.6b	(+.f64 0 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))))
▶	1.8b	(/.f64 (.f64 x (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))) z)
	3.6b	(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y)))

Compiler

Compiled 2538 to 1123 computations (55.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
✓	0.2b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)
✓	0.3b	(cbrt.f64 (/.f64 (sin.f64 y) y))
✓	1.4b	(/.f64 (.f64 x (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))) z)

series176.0ms (4.1%)

Counts

4 → 56

Calls

18 calls:

60.0ms	(/.f64 (.f64 x (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))) z)	y	-inf
53.0ms	(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))	y	-inf
19.0ms	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)	y	-inf
8.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))	y	-inf
6.0ms	(/.f64 (.f64 x (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))) z)	z	-inf

rewrite63.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

635×	`log-prod_binary64`
203×	`expm1-udef_binary64`
203×	`log1p-udef_binary64`
185×	`log-pow_binary64`
143×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	257	37
2	3198	37

Stop Event

1×	node limit

Counts

4 → 140

simplify35.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

532×	`cancel-sign-sub-inv_binary64`
400×	`fma-neg_binary64`
318×	`associate-/l*_binary64`
187×	`distribute-rgt-neg-in_binary64`
178×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	696
1	180	688
2	521	674
3	1823	673

Stop Event

1×	node limit

Counts

196 → 168

prune169.0ms (3.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	209	7	216

Error

Counts

216 → 7

Alt Table

Status	Error	Program
✓	1.5b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
	7.8b	(/.f64 x (/.f64 (*.f64 y z) (sin.f64 y)))
	10.4b	(+.f64 0 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)))
✓	1.6b	(*.f64 (/.f64 x (/.f64 y (sin.f64 y))) (/.f64 1 z))
✓	1.6b	(+.f64 0 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))))
✓	1.8b	(/.f64 (.f64 x (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))) z)
	3.6b	(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y)))

Compiler

Compiled 3928 to 1526 computations (61.2% saved)

regimes292.0ms (6.8%)

Accuracy

Total 0.4b remaining (94.7%)

Threshold costs 0.4b (94.7%)

Counts

42 → 3

Compiler

Compiled 3354 to 2220 computations (33.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Calls

2 calls:

0.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
0.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Steps

Iters	Point		Range
5.387366225635142e-65	∈ [	5.387366225635142e-65	,	1.7965791767432718e-56	]
-8.530866315446826e-104	∈ [	-8.530866315446826e-104	,	-4.0199533258566624e-127	]

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`+-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	70
1	31	70

Stop Event

1×

saturated

end82.0ms (1.9%)

Stop Event

1×

fuel

Compiler

Compiled 190 to 97 computations (48.9% saved)

Details

analyze620.0ms (14.5%)

sample2.0s (47.5%)

preprocess22.0ms (0.5%)

simplify7.0ms (0.2%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

series37.0ms (0.9%)

rewrite54.0ms (1.3%)

simplify35.0ms (0.8%)

prune105.0ms (2.5%)

localize7.0ms (0.2%)

series55.0ms (1.3%)

rewrite57.0ms (1.3%)

simplify47.0ms (1.1%)

prune114.0ms (2.7%)

localize7.0ms (0.2%)

series36.0ms (0.8%)

rewrite56.0ms (1.3%)

simplify32.0ms (0.7%)

prune117.0ms (2.7%)

localize9.0ms (0.2%)

series176.0ms (4.1%)

rewrite63.0ms (1.5%)

simplify35.0ms (0.8%)

prune169.0ms (3.9%)

regimes292.0ms (6.8%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end82.0ms (1.9%)

Profiling