Details

analyze134.0ms (9.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	13	20
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
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 8 to 7 computations (12.5% saved)

sample13.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

prune7.0ms (0.5%)

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 14 to 12 computations (14.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64_5534`
16×	`times-frac_binary64_5540`
11×	`add-sqr-sqrt_binary64_5556` `add-cube-cbrt_binary64_5569`
10×	`distribute-lft-out_binary64_5485`
4×	`associate-/l_binary64_5479` `associate-/r_binary64_5478`
3×	`add-cbrt-cube_binary64_5570` `add-exp-log_binary64_5572`
2×	`flip-+_binary64_5508` `associate-/l/_binary64_5481` `flip3-+_binary64_5537` `associate-/r/_binary64_5480`
1×	`div-inv_binary64_5531` `div-exp_binary64_5585` `frac-2neg_binary64_5545` `add-log-exp_binary64_5573` `clear-num_binary64_5533` `pow1_binary64_5595` `cbrt-undiv_binary64_5568`

Counts

1 → 40

Calls

1 calls:

8.0ms

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

series26.0ms (1.8%)

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify83.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5159	702

prune41.0ms (2.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Error

Counts

44 → 3

Compiler

Compiled 609 to 322 computations (47.1% saved)

localize8.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 y y) 1)
0.1b	(.f64 (/.f64 (+.f64 x y) (-.f64 (.f64 y y) 1)) (-.f64 y 1))
12.4b	(/.f64 (+.f64 x y) (-.f64 (*.f64 y y) 1))

rewrite47.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

69×	`*-un-lft-identity_binary64_5534`
49×	`times-frac_binary64_5540` `add-sqr-sqrt_binary64_5556`
30×	`associate-l_binary64_5475` `add-cube-cbrt_binary64_5569`
22×	`difference-of-squares_binary64_5503`
13×	`distribute-lft-out_binary64_5485`
11×	`difference-of-sqr-1_binary64_5504`
10×	`add-cbrt-cube_binary64_5570` `add-exp-log_binary64_5572`
9×	`cancel-sign-sub-inv_binary64_5500`
7×	`associate-r_binary64_5474`
6×	`associate-/r*_binary64_5478`
5×	`add-log-exp_binary64_5573` `flip--_binary64_5509` `flip3--_binary64_5538` `pow1_binary64_5595`
4×	`distribute-rgt-in_binary64_5484` `associate-/l*_binary64_5479` `distribute-lft-in_binary64_5483` `associate-/r/_binary64_5480`
3×	`sub-neg_binary64_5527`
2×	`div-inv_binary64_5531` `associate-*r/_binary64_5476` `cbrt-unprod_binary64_5567` `associate-/l/_binary64_5481` `div-exp_binary64_5585` `frac-times_binary64_5544` `unswap-sqr_binary64_5502` `prod-exp_binary64_5583` `cbrt-undiv_binary64_5568`
1×	`associate-l/_binary64_5477` `flip-+_binary64_5508` `diff-log_binary64_5626` `flip3-+_binary64_5537` `distribute-lft-out--_binary64_5486` `-commutative_binary64_5465` `frac-2neg_binary64_5545` `clear-num_binary64_5533` `pow-prod-down_binary64_5605`

Counts

3 → 132

Calls

3 calls:

21.0ms	(.f64 (/.f64 (+.f64 x y) (-.f64 (.f64 y y) 1)) (-.f64 y 1))
10.0ms	(/.f64 (+.f64 x y) (-.f64 (*.f64 y y) 1))
5.0ms	(-.f64 (*.f64 y y) 1)

series124.0ms (8.8%)

Counts

3 → 9

Calls

3 calls:

54.0ms	(/.f64 (+.f64 x y) (-.f64 (*.f64 y y) 1))
46.0ms	(.f64 (/.f64 (+.f64 x y) (-.f64 (.f64 y y) 1)) (-.f64 y 1))
24.0ms	(-.f64 (*.f64 y y) 1)

simplify71.0ms (5%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4938	2402
1	4938	2402

prune114.0ms (8.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	141	3	144

Error

Counts

144 → 3

Compiler

Compiled 2642 to 1317 computations (50.2% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite20.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_5534`
15×	`add-sqr-sqrt_binary64_5556`
13×	`cancel-sign-sub-inv_binary64_5500`
11×	`times-frac_binary64_5540`
8×	`add-cube-cbrt_binary64_5569`
6×	`add-log-exp_binary64_5573`
4×	`distribute-lft-out--_binary64_5486`
3×	`div-inv_binary64_5531` `difference-of-squares_binary64_5503`
2×	`diff-log_binary64_5626` `frac-sub_binary64_5543` `distribute-lft-out_binary64_5485`
1×	`flip-+_binary64_5508` `flip3-+_binary64_5537` `sum-log_binary64_5625` `add-cbrt-cube_binary64_5570` `flip--_binary64_5509` `add-exp-log_binary64_5572` `associate--l+_binary64_5471` `flip3--_binary64_5538` `pow1_binary64_5595` `sub-neg_binary64_5527`

Counts

1 → 35

Calls

1 calls:

17.0ms

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

series12.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

12.0ms

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

simplify86.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	6155	585

prune27.0ms (1.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	38	3	41

Error

Counts

41 → 3

Compiler

Compiled 528 to 313 computations (40.7% saved)

regimes61.0ms (4.3%)

Accuracy

Total 0.0b remaining (97.4%)

Threshold costs 0.0b (97.4%)

Compiler

Compiled 420 to 314 computations (25.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample510.0ms (36%)

Algorithm

1×

intervals

Results

187.0ms	7997×	body	128	valid
0.0ms	3×	body	1024	valid

Compiler

Compiled 149 to 113 computations (24.2% saved)

Details

analyze134.0ms (9.5%)

sample13.0ms (0.9%)

simplify7.0ms (0.5%)

prune7.0ms (0.5%)

localize5.0ms (0.3%)

rewrite11.0ms (0.8%)

series26.0ms (1.8%)

simplify83.0ms (5.9%)

prune41.0ms (2.9%)

localize8.0ms (0.6%)

rewrite47.0ms (3.3%)

series124.0ms (8.8%)

simplify71.0ms (5%)

prune114.0ms (8.1%)

localize6.0ms (0.4%)

rewrite20.0ms (1.4%)

series12.0ms (0.9%)

simplify86.0ms (6.1%)

prune27.0ms (1.9%)

regimes61.0ms (4.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample510.0ms (36%)

Profiling