Details

analyze126.0ms (8.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	7	14
0	2	2
1	2	2

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
25%	74.9%	0.1%	4
43.7%	56.2%	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 6 to 5 computations (16.7% saved)

sample11.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_9285`
12×	`times-frac_binary64_9291`
10×	`add-sqr-sqrt_binary64_9307` `add-cube-cbrt_binary64_9320`
4×	`distribute-lft-out_binary64_9236` `associate-/r*_binary64_9229`
3×	`add-cbrt-cube_binary64_9321` `associate-/l*_binary64_9230` `add-exp-log_binary64_9323`
2×	`associate-/r/_binary64_9231`
1×	`clear-num_binary64_9284` `div-exp_binary64_9336` `cbrt-undiv_binary64_9319` `pow1_binary64_9346` `flip-+_binary64_9259` `frac-2neg_binary64_9296` `add-log-exp_binary64_9324` `flip3-+_binary64_9288` `div-inv_binary64_9282`

Counts

1 → 33

Calls

1 calls:

5.0ms

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

series26.0ms (1.8%)

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify57.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5771	431

prune26.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	3	37

Error

Counts

37 → 3

Compiler

Compiled 388 to 105 computations (72.9% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x y) x)
0.8b	(/.f64 1 (/.f64 (+.f64 x y) x))

rewrite24.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64_9291`
92×	`*-un-lft-identity_binary64_9285`
60×	`add-sqr-sqrt_binary64_9307` `add-cube-cbrt_binary64_9320`
19×	`associate-/r*_binary64_9229`
16×	`distribute-lft-out_binary64_9236`
15×	`add-exp-log_binary64_9323`
9×	`add-cbrt-cube_binary64_9321`
8×	`div-exp_binary64_9336`
7×	`associate-/l*_binary64_9230`
6×	`div-inv_binary64_9282`
4×	`cbrt-undiv_binary64_9319`
3×	`pow1_binary64_9346`
2×	`associate-/l/_binary64_9232` `clear-num_binary64_9284` `rec-exp_binary64_9335` `frac-2neg_binary64_9296` `add-log-exp_binary64_9324` `1-exp_binary64_9329`
1×	`flip-+_binary64_9259` `inv-pow_binary64_9370` `pow-flip_binary64_9359` `associate-/r/_binary64_9231` `flip3-+_binary64_9288`

Counts

2 → 121

Calls

2 calls:

9.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))
5.0ms	(/.f64 (+.f64 x y) x)

series42.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

26.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))
16.0ms	(/.f64 (+.f64 x y) x)

simplify84.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5187	1957

prune76.0ms (5.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	127	3	130

Error

Counts

130 → 3

Compiler

Compiled 1666 to 491 computations (70.5% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x y))
0.1b	(/.f64 (/.f64 1 (+.f64 x y)) (/.f64 1 x))

rewrite61.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Rules

585×	`times-frac_binary64_9291`
348×	`*-un-lft-identity_binary64_9285`
256×	`add-sqr-sqrt_binary64_9307` `add-cube-cbrt_binary64_9320`
46×	`distribute-lft-out_binary64_9236` `add-exp-log_binary64_9323`
35×	`div-inv_binary64_9282`
34×	`div-exp_binary64_9336`
31×	`associate-/r/_binary64_9231`
21×	`associate-/l*_binary64_9230`
17×	`associate-/r*_binary64_9229`
16×	`add-cbrt-cube_binary64_9321`
15×	`flip-+_binary64_9259` `flip3-+_binary64_9288`
9×	`rec-exp_binary64_9335` `cbrt-undiv_binary64_9319` `1-exp_binary64_9329`
3×	`pow1_binary64_9346`
2×	`clear-num_binary64_9284` `frac-2neg_binary64_9296` `add-log-exp_binary64_9324`
1×	`associate-/l/_binary64_9232` `inv-pow_binary64_9370` `pow-flip_binary64_9359`

Counts

2 → 334

Calls

2 calls:

16.0ms	(/.f64 (/.f64 1 (+.f64 x y)) (/.f64 1 x))
6.0ms	(/.f64 1 (+.f64 x y))

series50.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

31.0ms	(/.f64 (/.f64 1 (+.f64 x y)) (/.f64 1 x))
19.0ms	(/.f64 1 (+.f64 x y))

simplify135.0ms (9.2%)

Algorithm

1×	egg-herbie

Counts

340 → 340

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5059	7635

prune271.0ms (18.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	340	0	340
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	340	3	343

Error

Counts

343 → 3

Compiler

Compiled 5716 to 2498 computations (56.3% saved)

regimes40.0ms (2.7%)

Accuracy

Total 0.0b remaining (82.5%)

Threshold costs 0.0b (82.5%)

Compiler

Compiled 221 to 151 computations (31.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end0.0ms (0%)

sample412.0ms (27.9%)

Algorithm

1×

intervals

Results

162.0ms

8000×

body

128

valid

Compiler

Compiled 80 to 56 computations (30% saved)

Details

analyze126.0ms (8.6%)

sample11.0ms (0.8%)

simplify7.0ms (0.5%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite7.0ms (0.5%)

series26.0ms (1.8%)

simplify57.0ms (3.9%)

prune26.0ms (1.7%)

localize5.0ms (0.3%)

rewrite24.0ms (1.7%)

series42.0ms (2.9%)

simplify84.0ms (5.7%)

prune76.0ms (5.1%)

localize6.0ms (0.4%)

rewrite61.0ms (4.1%)

series50.0ms (3.4%)

simplify135.0ms (9.2%)

prune271.0ms (18.4%)

regimes40.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample412.0ms (27.9%)

Profiling