Details

analyze63.0ms (4.8%)

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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
46.8%	53.1%	0.1%	6
78%	21.9%	0.1%	7
82.7%	17.2%	0.1%	8
89%	10.9%	0.1%	9
91.3%	8.6%	0.1%	10
94.4%	5.5%	0.1%	11
95.6%	4.3%	0.1%	12
97.2%	2.7%	0.1%	13
97.8%	2.1%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample13.0ms (1%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify8.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	10	10

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))

rewrite41.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`*-un-lft-identity_binary64`
16×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`distribute-lft-out_binary64`
4×	`associate-/l_binary64` `associate-/r_binary64`

Counts

1 → 40

Calls

1 calls:

8.0ms

(/.f64 (+.f64 x y) (+.f64 y 1))

Compiler

Compiled 490 to 257 computations (47.6% saved)

series38.0ms (2.9%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

25.0ms

(/.f64 (+.f64 x y) (+.f64 y 1))

Compiler

Compiled 442 to 300 computations (32.1% saved)

simplify103.0ms (7.8%)

Algorithm

1×	egg-herbie

Rules

730×	`times-frac_binary64`
496×	`cancel-sign-sub-inv_binary64`
387×	`distribute-rgt-in_binary64`
342×	`sub-neg_binary64`
304×	`distribute-lft-in_binary64`

Counts

58 → 45

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	1043
1	261	990
2	735	984
3	2262	978
4	4301	978
5	4983	978
6	4949	978

prune29.0ms (2.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	2	46

Error

Counts

46 → 2

Alt Table

Status	Error	Program
▶	15.9b	(.f64 (/.f64 (+.f64 y x) (-.f64 (.f64 y y) 1)) (-.f64 y 1))
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))

Compiler

Compiled 524 to 270 computations (48.5% saved)

localize8.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (/.f64 (+.f64 y x) (-.f64 (.f64 y y) 1)) (-.f64 y 1))
15.3b	(/.f64 (+.f64 y x) (-.f64 (*.f64 y y) 1))

rewrite110.0ms (8.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

66×	`*-un-lft-identity_binary64`
49×	`times-frac_binary64`
46×	`add-sqr-sqrt_binary64`
30×	`associate-l_binary64`
28×	`add-cube-cbrt_binary64`

Counts

2 → 115

Calls

2 calls:

22.0ms	(.f64 (/.f64 (+.f64 y x) (-.f64 (.f64 y y) 1)) (-.f64 y 1))
9.0ms	(/.f64 (+.f64 y x) (-.f64 (*.f64 y y) 1))

Compiler

Compiled 2201 to 1106 computations (49.8% saved)

series93.0ms (7.1%)

Error

Counts

2 → 32

Calls

2 calls:

44.0ms	(.f64 (/.f64 (+.f64 y x) (-.f64 (.f64 y y) 1)) (-.f64 y 1))
30.0ms	(/.f64 (+.f64 y x) (-.f64 (*.f64 y y) 1))

Compiler

Compiled 1077 to 777 computations (27.9% saved)

simplify131.0ms (10%)

Algorithm

1×	egg-herbie

Rules

826×	`times-frac_binary64`
489×	`distribute-rgt-in_binary64`
455×	`div-sub_binary64`
413×	`distribute-lft-in_binary64`
123×	`sub-neg_binary64`

Counts

147 → 136

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	3119
1	496	2926
2	1769	2681
3	4647	2681
4	5883	2681

prune66.0ms (5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	136	2	138

Error

Counts

138 → 2

Alt Table

Status	Error	Program
	15.9b	(.f64 (/.f64 (+.f64 y x) (-.f64 (.f64 y y) 1)) (-.f64 y 1))
	0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))

Compiler

Compiled 1738 to 860 computations (50.5% saved)

regimes141.0ms (10.7%)

Accuracy

Total 0.0b remaining (43.2%)

Threshold costs 0.0b (43.2%)

Compiler

Compiled 1605 to 1067 computations (33.5% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	10	10

end1.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

sample461.0ms (35%)

Algorithm

1×

intervals

Results

186.0ms	7999×	body	128	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 45 to 31 computations (31.1% saved)

Details

analyze63.0ms (4.8%)

sample13.0ms (1%)

simplify8.0ms (0.6%)

prune2.0ms (0.1%)

localize5.0ms (0.4%)

rewrite41.0ms (3.1%)

series38.0ms (2.9%)

simplify103.0ms (7.8%)

prune29.0ms (2.2%)

localize8.0ms (0.6%)

rewrite110.0ms (8.3%)

series93.0ms (7.1%)

simplify131.0ms (10%)

prune66.0ms (5%)

regimes141.0ms (10.7%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample461.0ms (35%)

Profiling