Details

analyze38.0ms (2.7%)

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 (0.9%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify10.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

prune3.0ms (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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

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-/r_binary64` `associate-/l_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

1 → 40

Calls

1 calls:

9.0ms

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

series66.0ms (4.7%)

Counts

1 → 3

Calls

1 calls:

66.0ms

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

simplify77.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5504	702

prune49.0ms (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

Merged error: 0b

Counts

44 → 2

Compiler

Compiled 764 to 446 computations (41.6% saved)

localize8.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

rewrite92.0ms (6.5%)

Algorithm

1×	rewrite-expression-head

Rules

139×	`*-un-lft-identity_binary64`
120×	`times-frac_binary64`
116×	`add-sqr-sqrt_binary64`
79×	`sqrt-prod_binary64`
69×	`add-cube-cbrt_binary64`
34×	`associate-r_binary64`
32×	`distribute-lft-out_binary64`
27×	`associate-l_binary64`
26×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
15×	`unswap-sqr_binary64`
14×	`associate-/r*_binary64`
10×	`sqrt-div_binary64`
9×	`pow1_binary64`
8×	`associate-/r/_binary64`
7×	`associate-/l*_binary64` `div-exp_binary64`
6×	`flip3-+_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `div-inv_binary64`
3×	`rec-exp_binary64` `pow-flip_binary64`
2×	`associate-/l/_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `rem-sqrt-square_binary64` `inv-pow_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 219

Calls

4 calls:

40.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1))) (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y 1))))
13.0ms	(/.f64 1 (sqrt.f64 (+.f64 y 1)))
10.0ms	(/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y 1)))
4.0ms	(sqrt.f64 (+.f64 y 1))

series211.0ms (14.9%)

Counts

4 → 12

Calls

4 calls:

100.0ms	(/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y 1)))
44.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1))) (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y 1))))
40.0ms	(/.f64 1 (sqrt.f64 (+.f64 y 1)))
28.0ms	(sqrt.f64 (+.f64 y 1))

simplify140.0ms (9.9%)

Algorithm

1×	egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4973	4394
1	4973	4394

prune288.0ms (20.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	231	0	231
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	231	2	233

Merged error: 0b

Counts

233 → 2

Compiler

Compiled 4950 to 3278 computations (33.8% saved)

regimes27.0ms (1.9%)

Compiler: Compiled 84 to 77 computations (8.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample375.0ms (26.5%)

Algorithm

1×

intervals

Results

179.0ms

8000×

body

128

valid

Compiler

Compiled 37 to 34 computations (8.1% saved)

Details

analyze38.0ms (2.7%)

sample12.0ms (0.9%)

simplify10.0ms (0.7%)

prune3.0ms (0.2%)

localize5.0ms (0.4%)

rewrite12.0ms (0.9%)

series66.0ms (4.7%)

simplify77.0ms (5.4%)

prune49.0ms (3.5%)

localize8.0ms (0.6%)

rewrite92.0ms (6.5%)

series211.0ms (14.9%)

simplify140.0ms (9.9%)

prune288.0ms (20.3%)

regimes27.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample375.0ms (26.5%)

Profiling