Details

analyze56.0ms (3.2%)

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 8 to 7 computations (12.5% saved)

sample12.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify132.0ms (7.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

prune4.0ms (0.2%)

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)

localize10.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

rewrite19.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64_4852`
16×	`times-frac_binary64_4858`
11×	`add-cube-cbrt_binary64_4887` `add-sqr-sqrt_binary64_4874`
10×	`distribute-lft-out_binary64_4803`
4×	`associate-/l_binary64_4797` `associate-/r_binary64_4796`
3×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888`
2×	`flip-+_binary64_4826` `associate-/l/_binary64_4799` `associate-/r/_binary64_4798` `flip3-+_binary64_4855`
1×	`div-inv_binary64_4849` `clear-num_binary64_4851` `add-log-exp_binary64_4891` `pow1_binary64_4913` `cbrt-undiv_binary64_4886` `frac-2neg_binary64_4863` `div-exp_binary64_4903`

Counts

1 → 40

Calls

1 calls:

14.0ms

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

series41.0ms (2.3%)

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify152.0ms (8.6%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	5159	702

prune61.0ms (3.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Error

Counts

44 → 2

Compiler

Compiled 600 to 314 computations (47.7% saved)

localize15.0ms (0.9%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (/.f64 (+.f64 x y) (-.f64 (.f64 y y) 1)) (-.f64 y 1))
16.2b	(/.f64 (+.f64 x y) (-.f64 (*.f64 y y) 1))

rewrite53.0ms (3%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`*-un-lft-identity_binary64_4852`
49×	`times-frac_binary64_4858`
46×	`add-sqr-sqrt_binary64_4874`
30×	`associate-l_binary64_4793`
28×	`add-cube-cbrt_binary64_4887`
20×	`difference-of-squares_binary64_4821`
13×	`distribute-lft-out_binary64_4803`
10×	`difference-of-sqr-1_binary64_4822`
9×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888`
7×	`associate-r_binary64_4792`
6×	`cancel-sign-sub-inv_binary64_4818` `associate-/r*_binary64_4796`
4×	`flip3--_binary64_4856` `associate-/l*_binary64_4797` `distribute-lft-in_binary64_4801` `distribute-rgt-in_binary64_4802` `associate-/r/_binary64_4798` `pow1_binary64_4913` `flip--_binary64_4827`
2×	`unswap-sqr_binary64_4820` `frac-times_binary64_4862` `cbrt-unprod_binary64_4885` `associate-*r/_binary64_4794` `associate-/l/_binary64_4799` `sub-neg_binary64_4845` `div-inv_binary64_4849` `add-log-exp_binary64_4891` `prod-exp_binary64_4901` `cbrt-undiv_binary64_4886` `div-exp_binary64_4903`
1×	`distribute-lft-out--_binary64_4804` `flip-+_binary64_4826` `clear-num_binary64_4851` `associate-l/_binary64_4795` `pow-prod-down_binary64_4923` `flip3-+_binary64_4855` `frac-2neg_binary64_4863` `-commutative_binary64_4783`

Counts

2 → 115

Calls

2 calls:

27.0ms	(.f64 (/.f64 (+.f64 x y) (-.f64 (.f64 y y) 1)) (-.f64 y 1))
16.0ms	(/.f64 (+.f64 x y) (-.f64 (*.f64 y y) 1))

series172.0ms (9.8%)

Counts

2 → 6

Calls

2 calls:

92.0ms	(/.f64 (+.f64 x y) (-.f64 (*.f64 y y) 1))
79.0ms	(.f64 (/.f64 (+.f64 x y) (-.f64 (.f64 y y) 1)) (-.f64 y 1))

simplify102.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4968	2235
1	4968	2235

prune139.0ms (7.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	121	2	123

Error

Counts

123 → 2

Compiler

Compiled 2315 to 1140 computations (50.8% saved)

regimes64.0ms (3.6%)

Accuracy

Total 0.0b remaining (77.7%)

Threshold costs 0.0b (77.7%)

Compiler

Compiled 327 to 239 computations (26.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample728.0ms (41.3%)

Algorithm

1×

intervals

Results

303.0ms	7999×	body	128	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 118 to 88 computations (25.4% saved)

Details

analyze56.0ms (3.2%)

sample12.0ms (0.7%)

simplify132.0ms (7.5%)

prune4.0ms (0.2%)

localize10.0ms (0.6%)

rewrite19.0ms (1.1%)

series41.0ms (2.3%)

simplify152.0ms (8.6%)

prune61.0ms (3.5%)

localize15.0ms (0.9%)

rewrite53.0ms (3%)

series172.0ms (9.8%)

simplify102.0ms (5.8%)

prune139.0ms (7.9%)

regimes64.0ms (3.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample728.0ms (41.3%)

Profiling