Details

analyze98.0ms (6.6%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
56.2%	43.7%	0.1%	7
56.2%	43.7%	0.1%	8
76.5%	23.4%	0.1%	9
76.5%	23.4%	0.1%	10
87.8%	12.1%	0.1%	11
87.8%	12.1%	0.1%	12
93.8%	6.1%	0.1%	13
93.8%	6.1%	0.1%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample14.0ms (0.9%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify8.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 15.5b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

15.0b

(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

rewrite11.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`*-un-lft-identity_binary64`
4×	`associate-/l*_binary64` `times-frac_binary64`
3×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `distribute-lft-out_binary64`
1×	`flip3-+_binary64` `associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `flip-+_binary64`

Counts

1 → 27

Calls

1 calls:

9.0ms

(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

series77.0ms (5.2%)

Counts

1 → 3

Calls

1 calls:

77.0ms

(/.f64 (+.f64 x y) (*.f64 (*.f64 x 2) y))

simplify44.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5365	451

prune94.0ms (6.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	2	31

Merged error: 0b

Counts

31 → 2

Compiler

Compiled 1405 to 886 computations (36.9% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

rewrite16.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
6×	`times-frac_binary64`
5×	`distribute-lft-out_binary64`
3×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`div-inv_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `frac-add_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 17

Calls

1 calls:

14.0ms

(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

series33.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

33.0ms

(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))

simplify86.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5161	274

prune16.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	20	2	22

Merged error: 0b

Counts

22 → 2

Compiler

Compiled 252 to 194 computations (23% saved)

localize10.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
0.0b	(/.f64 (+.f64 x y) y)
6.8b	(/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y))

rewrite49.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

227×	`times-frac_binary64`
130×	`*-un-lft-identity_binary64`
86×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
48×	`add-exp-log_binary64`
40×	`associate-/r*_binary64`
35×	`add-cbrt-cube_binary64`
24×	`div-exp_binary64`
22×	`distribute-lft-out_binary64`
18×	`cbrt-undiv_binary64`
13×	`div-inv_binary64`
8×	`associate-/l*_binary64`
6×	`associate-/r/_binary64` `prod-exp_binary64`
5×	`rec-exp_binary64`
4×	`pow1_binary64` `cbrt-unprod_binary64`
3×	`add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`associate-/l/_binary64`
1×	`flip3-+_binary64` `inv-pow_binary64` `pow-flip_binary64` `flip-+_binary64`

Counts

3 → 200

Calls

3 calls:

13.0ms	(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
10.0ms	(/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y))
6.0ms	(/.f64 (+.f64 x y) y)

series184.0ms (12.4%)

Counts

3 → 9

Calls

3 calls:

82.0ms	(/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y))
68.0ms	(/.f64 1 (/.f64 (*.f64 x 2) (/.f64 (+.f64 x y) y)))
34.0ms	(/.f64 (+.f64 x y) y)

simplify104.0ms (7%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4936	3953
1	4936	3953

prune158.0ms (10.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	209	2	211

Merged error: 0b

Counts

211 → 2

Compiler

Compiled 3530 to 1415 computations (59.9% saved)

regimes19.0ms (1.3%)

Compiler: Compiled 40 to 40 computations (0% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms (0%)

sample456.0ms (30.6%)

Algorithm

1×

intervals

Results

242.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 42 to 40 computations (4.8% saved)

Details

analyze98.0ms (6.6%)

sample14.0ms (0.9%)

simplify8.0ms (0.6%)

prune2.0ms (0.1%)

localize6.0ms (0.4%)

rewrite11.0ms (0.7%)

series77.0ms (5.2%)

simplify44.0ms (2.9%)

prune94.0ms (6.3%)

localize5.0ms (0.4%)

rewrite16.0ms (1.1%)

series33.0ms (2.2%)

simplify86.0ms (5.8%)

prune16.0ms (1.1%)

localize10.0ms (0.7%)

rewrite49.0ms (3.3%)

series184.0ms (12.4%)

simplify104.0ms (7%)

prune158.0ms (10.6%)

regimes19.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample456.0ms (30.6%)

Profiling