Details

analyze58.0ms (3.5%)

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
18.7%	81.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample734.0ms (44%)

Results

723.0ms

8256×

body

128

valid

Compiler

Compiled 20 to 14 computations (30% saved)

preprocess21.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`associate-/l*_binary64`
4×	`associate-/r/_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	26	20
3	31	20
4	33	20
0	2	2

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	15	10
3	18	10
4	19	10

Stop Event

1×

saturated

Counts

1 → 2

prune5.0ms (0.3%)

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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))
▶	0.1b	(/.f64 (*.f64 x 100) (+.f64 x y))

Compiler

Compiled 52 to 33 computations (36.5% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (*.f64 x 100) (+.f64 x y))

series8.0ms (0.5%)

Counts

1 → 24

Calls

6 calls:

2.0ms	(/.f64 (*.f64 x 100) (+.f64 x y))	x	0
2.0ms	(/.f64 (*.f64 x 100) (+.f64 x y))	y	-inf
2.0ms	(/.f64 (*.f64 x 100) (+.f64 x y))	y	inf
1.0ms	(/.f64 (*.f64 x 100) (+.f64 x y))	y	0
1.0ms	(/.f64 (*.f64 x 100) (+.f64 x y))	x	inf

rewrite43.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

875×	`log1p-expm1-u_binary64`
875×	`expm1-log1p-u_binary64`
473×	`prod-diff_binary64`
79×	`add-sqr-sqrt_binary64`
77×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	159	10
2	2279	10

Stop Event

1×	node limit

Counts

1 → 45

simplify46.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

717×	`fma-def_binary64`
634×	`cancel-sign-sub-inv_binary64`
482×	`fma-neg_binary64`
218×	`associate-/l/_binary64`
203×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	525
1	126	507
2	430	450
3	1842	399

Stop Event

1×	node limit

Counts

69 → 60

prune38.0ms (2.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	56	4	60
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	56	6	62

Error

Counts

62 → 6

Alt Table

Status	Error	Program
	1.2b	(.f64 (pow.f64 (cbrt.f64 (.f64 x 100)) 2) (.f64 (cbrt.f64 (.f64 x 100)) (/.f64 1 (+.f64 x y))))
	0.3b	(.f64 x (.f64 100 (/.f64 1 (+.f64 x y))))
	32.3b	(*.f64 100 (/.f64 x y))
▶	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))
	1.1b	(pow.f64 (*.f64 1/100 (/.f64 (+.f64 x y) x)) -1)
✓	0.1b	(/.f64 (*.f64 x 100) (+.f64 x y))

Compiler

Compiled 910 to 533 computations (41.4% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 100 (+.f64 x y))
✓	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))

series20.0ms (1.2%)

Counts

2 → 48

Calls

12 calls:

5.0ms	(*.f64 x (/.f64 100 (+.f64 x y)))	x	inf
2.0ms	(*.f64 x (/.f64 100 (+.f64 x y)))	x	0
2.0ms	(*.f64 x (/.f64 100 (+.f64 x y)))	y	-inf
2.0ms	(*.f64 x (/.f64 100 (+.f64 x y)))	y	inf
1.0ms	(/.f64 100 (+.f64 x y))	y	0

rewrite71.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

821×	`log1p-expm1-u_binary64`
821×	`expm1-log1p-u_binary64`
464×	`prod-diff_binary64`
79×	`add-sqr-sqrt_binary64`
77×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	160	17
2	2181	17

Stop Event

1×	node limit

Counts

2 → 48

simplify43.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

939×	`fma-neg_binary64`
326×	`distribute-rgt-neg-in_binary64`
294×	`times-frac_binary64`
291×	`distribute-neg-frac_binary64`
254×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	1077
1	219	1035
2	761	948
3	3032	939

Stop Event

1×	node limit

Counts

96 → 77

prune48.0ms (2.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	77	6	83

Error

Counts

83 → 6

Alt Table

Status	Error	Program
	1.2b	(.f64 (pow.f64 (cbrt.f64 (.f64 x 100)) 2) (.f64 (cbrt.f64 (.f64 x 100)) (/.f64 1 (+.f64 x y))))
	0.3b	(.f64 x (.f64 100 (/.f64 1 (+.f64 x y))))
▶	0.2b	(/.f64 x (*.f64 (+.f64 x y) 1/100))
✓	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))
	1.1b	(pow.f64 (*.f64 1/100 (/.f64 (+.f64 x y) x)) -1)
✓	0.1b	(/.f64 (*.f64 x 100) (+.f64 x y))

Compiler

Compiled 1141 to 691 computations (39.4% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 x y) 1/100)
✓	0.2b	(/.f64 x (*.f64 (+.f64 x y) 1/100))

series12.0ms (0.7%)

Counts

2 → 48

Calls

12 calls:

2.0ms	(/.f64 x (*.f64 (+.f64 x y) 1/100))	x	0
2.0ms	(/.f64 x (*.f64 (+.f64 x y) 1/100))	y	-inf
2.0ms	(/.f64 x (*.f64 (+.f64 x y) 1/100))	y	inf
1.0ms	(/.f64 x (*.f64 (+.f64 x y) 1/100))	y	0
1.0ms	(/.f64 x (*.f64 (+.f64 x y) 1/100))	x	inf

rewrite53.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

887×	`log1p-expm1-u_binary64`
887×	`expm1-log1p-u_binary64`
482×	`prod-diff_binary64`
79×	`add-sqr-sqrt_binary64`
77×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	159	17
2	2299	17

Stop Event

1×	node limit

Counts

2 → 61

simplify33.0ms (2%)

Algorithm

1×	egg-herbie

Rules

721×	`fma-def_binary64`
634×	`cancel-sign-sub-inv_binary64`
482×	`fma-neg_binary64`
203×	`distribute-neg-frac_binary64`
194×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	675
1	136	657
2	446	600
3	1862	549

Stop Event

1×	node limit

Counts

109 → 81

prune51.0ms (3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	81	6	87

Error

Counts

87 → 6

Alt Table

Status	Error	Program
	1.2b	(.f64 (pow.f64 (cbrt.f64 (.f64 x 100)) 2) (.f64 (cbrt.f64 (.f64 x 100)) (/.f64 1 (+.f64 x y))))
▶	0.3b	(.f64 x (.f64 100 (/.f64 1 (+.f64 x y))))
✓	0.2b	(/.f64 x (*.f64 (+.f64 x y) 1/100))
✓	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))
	1.1b	(pow.f64 (*.f64 1/100 (/.f64 (+.f64 x y) x)) -1)
✓	0.1b	(/.f64 (*.f64 x 100) (+.f64 x y))

Compiler

Compiled 1075 to 623 computations (42% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 x y))
✓	0.2b	(.f64 x (.f64 100 (/.f64 1 (+.f64 x y))))
✓	0.3b	(*.f64 100 (/.f64 1 (+.f64 x y)))

series24.0ms (1.5%)

Counts

3 → 72

Calls

18 calls:

3.0ms	(.f64 x (.f64 100 (/.f64 1 (+.f64 x y))))	x	0
2.0ms	(.f64 x (.f64 100 (/.f64 1 (+.f64 x y))))	y	-inf
2.0ms	(.f64 x (.f64 100 (/.f64 1 (+.f64 x y))))	y	inf
1.0ms	(*.f64 100 (/.f64 1 (+.f64 x y)))	x	0
1.0ms	(.f64 x (.f64 100 (/.f64 1 (+.f64 x y))))	y	0

rewrite57.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

896×	`log1p-expm1-u_binary64`
896×	`expm1-log1p-u_binary64`
464×	`prod-diff_binary64`
92×	`add-sqr-sqrt_binary64`
89×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	194	24
2	2455	24

Stop Event

1×	node limit

Counts

3 → 61

simplify52.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

328×	`distribute-rgt-neg-in_binary64`
318×	`distribute-lft-neg-in_binary64`
294×	`times-frac_binary64`
291×	`distribute-neg-frac_binary64`
279×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	1551
1	247	1509
2	825	1356
3	3254	1305

Stop Event

1×	node limit

Counts

133 → 104

prune67.0ms (4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	104	6	110

Error

Counts

110 → 6

Alt Table

Status	Error	Program
	1.2b	(.f64 (pow.f64 (cbrt.f64 (.f64 x 100)) 2) (.f64 (cbrt.f64 (.f64 x 100)) (/.f64 1 (+.f64 x y))))
✓	0.3b	(.f64 x (.f64 100 (/.f64 1 (+.f64 x y))))
✓	0.2b	(/.f64 x (*.f64 (+.f64 x y) 1/100))
✓	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))
	1.1b	(pow.f64 (*.f64 1/100 (/.f64 (+.f64 x y) x)) -1)
✓	0.1b	(/.f64 (*.f64 x 100) (+.f64 x y))

Compiler

Compiled 1515 to 912 computations (39.8% saved)

regimes91.0ms (5.4%)

Accuracy

Total 0.3b remaining (98.6%)

Threshold costs 0.3b (98.6%)

Counts

26 → 1

Compiler

Compiled 777 to 545 computations (29.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	9	10

Stop Event

1×

saturated

end69.0ms (4.1%)

Stop Event

1×

fuel

Compiler

Compiled 86 to 61 computations (29.1% saved)

Details

analyze58.0ms (3.5%)

sample734.0ms (44%)

preprocess21.0ms (1.2%)

simplify7.0ms (0.4%)

prune5.0ms (0.3%)

localize4.0ms (0.2%)

series8.0ms (0.5%)

rewrite43.0ms (2.6%)

simplify46.0ms (2.8%)

prune38.0ms (2.3%)

localize4.0ms (0.2%)

series20.0ms (1.2%)

rewrite71.0ms (4.2%)

simplify43.0ms (2.6%)

prune48.0ms (2.9%)

localize4.0ms (0.2%)

series12.0ms (0.7%)

rewrite53.0ms (3.2%)

simplify33.0ms (2%)

prune51.0ms (3%)

localize5.0ms (0.3%)

series24.0ms (1.5%)

rewrite57.0ms (3.4%)

simplify52.0ms (3.1%)

prune67.0ms (4%)

regimes91.0ms (5.4%)

simplify2.0ms (0.1%)

end69.0ms (4.1%)

Profiling