Details

analyze625.0ms

Algorithm

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
12.5%	85.8%	1.7%	9
16.4%	79.2%	4.4%	10
20.7%	72.4%	7%	11
32.6%	53.3%	14.1%	12
36%	45.5%	18.5%	13
38.3%	41.1%	20.6%	14

sample40.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5100	13

prune13.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.3b

Counts

2 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x z) y)
0.0b	(+ y (* (+ x z) (/ (- x z) y)))
0.2b	(/ (+ y (* (+ x z) (/ (- x z) y))) 2.0)
0.2b	(* (+ x z) (/ (- x z) y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
40×	`times-frac`
32×	`add-cube-cbrt`
19×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `associate-/r*` `add-log-exp`
4×	`flip3-+` `associate-l` `flip-+` `associate-/l/`
3×	`cbrt-undiv` `div-exp` `div-inv`
2×	`frac-times` `frac-2neg` `associate-*l/` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3--` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `-commutative` `flip--` `distribute-lft-out`

Counts

4 → 121

Calls

4 calls:

5.0ms	(/ (- x z) y)
3.0ms	(+ y (* (+ x z) (/ (- x z) y)))
5.0ms	(/ (+ y (* (+ x z) (/ (- x z) y))) 2.0)
11.0ms	(* (+ x z) (/ (- x z) y))

series41.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ (- x z) y)
11.0ms	(+ y (* (+ x z) (/ (- x z) y)))
14.0ms	(/ (+ y (* (+ x z) (/ (- x z) y))) 2.0)
10.0ms	(* (+ x z) (/ (- x z) y))

simplify48.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5772	1688

prune137.0ms

Filtered

95 candidates to 133 candidates (-40.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	128	5	133
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	129	6	135

Merged error: 0.2b

Counts

135 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* (+ x z) (/ 1 (/ y (- x z)))))
0.2b	(/ (+ y (* (+ x z) (/ 1 (/ y (- x z))))) 2.0)
0.2b	(* (+ x z) (/ 1 (/ y (- x z))))
0.4b	(/ 1 (/ y (- x z)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

246×	`times-frac`
176×	`add-sqr-sqrt`
166×	`*-un-lft-identity`
120×	`add-cube-cbrt`
68×	`associate-r`
36×	`add-exp-log`
24×	`associate-/r*`
21×	`distribute-lft-out--` `difference-of-squares`
20×	`add-cbrt-cube`
16×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
7×	`pow1` `cbrt-undiv` `flip3--` `prod-exp` `flip--`
6×	`associate-/l*` `add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `flip3-+` `1-exp` `associate-l` `flip-+`
3×	`cbrt-unprod`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `distribute-lft-out` `inv-pow`

Counts

4 → 250

Calls

4 calls:

4.0ms	(+ y (* (+ x z) (/ 1 (/ y (- x z)))))
5.0ms	(/ (+ y (* (+ x z) (/ 1 (/ y (- x z))))) 2.0)
25.0ms	(* (+ x z) (/ 1 (/ y (- x z))))
8.0ms	(/ 1 (/ y (- x z)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ y (* (+ x z) (/ 1 (/ y (- x z)))))
18.0ms	(/ (+ y (* (+ x z) (/ 1 (/ y (- x z))))) 2.0)
10.0ms	(* (+ x z) (/ 1 (/ y (- x z))))
7.0ms	(/ 1 (/ y (- x z)))

simplify62.0ms

Algorithm

egg-herbie

Counts

262 → 262

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5127	3394

prune230.0ms

Filtered

170 candidates to 262 candidates (-54.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	262	0	262
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	262	6	268

Merged error: 0.2b

Counts

268 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* (+ x z) (* (- x z) (/ 1 y))))
0.2b	(/ (+ y (* (+ x z) (* (- x z) (/ 1 y)))) 2.0)
0.2b	(* (+ x z) (* (- x z) (/ 1 y)))
0.2b	(* (- x z) (/ 1 y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log` `add-sqr-sqrt`
26×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`frac-times` `times-frac` `add-cbrt-cube`
14×	`associate-r`
13×	`prod-exp`
11×	`pow1`
10×	`associate-r/` `associate-l/`
9×	`flip3-+` `associate-l` `flip-+`
8×	`flip3--` `flip--`
7×	`cbrt-unprod`
6×	`add-log-exp`
5×	`div-exp`
4×	`pow-prod-down` `un-div-inv`
3×	`cbrt-undiv` `associate-/r` `associate-/l` `unswap-sqr`
2×	`rec-exp` `1-exp` `*-commutative` `div-inv` `associate-/l/`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 125

Calls

4 calls:

4.0ms	(+ y (* (+ x z) (* (- x z) (/ 1 y))))
6.0ms	(/ (+ y (* (+ x z) (* (- x z) (/ 1 y)))) 2.0)
14.0ms	(* (+ x z) (* (- x z) (/ 1 y)))
9.0ms	(* (- x z) (/ 1 y))

series43.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ y (* (+ x z) (* (- x z) (/ 1 y))))
14.0ms	(/ (+ y (* (+ x z) (* (- x z) (/ 1 y)))) 2.0)
12.0ms	(* (+ x z) (* (- x z) (/ 1 y)))
6.0ms	(* (- x z) (/ 1 y))

simplify46.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5692	1814

prune132.0ms

Filtered

95 candidates to 137 candidates (-44.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	137	6	143

Merged error: 0.2b

Counts

143 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* (+ x z) (/ (- x z) y)))
0.2b	(* (+ x z) (/ (- x z) y))
0.4b	(/ (/ (+ y (* (+ x z) (/ (- x z) y))) (sqrt 2.0)) (sqrt 2.0))
0.7b	(/ (+ y (* (+ x z) (/ (- x z) y))) (sqrt 2.0))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

292×	`times-frac`
177×	`add-sqr-sqrt`
174×	`*-un-lft-identity`
166×	`add-cube-cbrt`
144×	`sqrt-prod`
25×	`associate-/l*`
19×	`associate-r`
16×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*`
10×	`div-inv`
6×	`pow1` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`flip3-+` `associate-l` `flip-+`
3×	`associate-/l/` `distribute-lft-out--` `difference-of-squares`
2×	`frac-times` `frac-2neg` `associate-*l/` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-r/` `pow-prod-down` `sum-log` `-commutative` `distribute-lft-out`

Counts

4 → 270

Calls

4 calls:

4.0ms	(+ y (* (+ x z) (/ (- x z) y)))
11.0ms	(* (+ x z) (/ (- x z) y))
12.0ms	(/ (/ (+ y (* (+ x z) (/ (- x z) y))) (sqrt 2.0)) (sqrt 2.0))
6.0ms	(/ (+ y (* (+ x z) (/ (- x z) y))) (sqrt 2.0))

series68.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ y (* (+ x z) (/ (- x z) y)))
11.0ms	(* (+ x z) (/ (- x z) y))
27.0ms	(/ (/ (+ y (* (+ x z) (/ (- x z) y))) (sqrt 2.0)) (sqrt 2.0))
19.0ms	(/ (+ y (* (+ x z) (/ (- x z) y))) (sqrt 2.0))

simplify89.0ms

Algorithm

egg-herbie

Counts

282 → 282

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5277	7060

prune276.0ms

Filtered

143 candidates to 282 candidates (-97.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	281	1	282
Fresh	0	2	2
Picked	0	1	1
Done	1	2	3
Total	282	6	288

Merged error: 0b

Counts

288 → 6

regimes265.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	19
1	50	19

end0.0ms

sample1.3s

Algorithm

intervals

Results

308.0ms

8000×

body

valid

Details

analyze625.0ms

sample40.0ms

simplify61.0ms

prune13.0ms

localize8.0ms

rewrite29.0ms

series41.0ms

simplify48.0ms

prune137.0ms

localize10.0ms

rewrite56.0ms

series47.0ms

simplify62.0ms

prune230.0ms

localize10.0ms

rewrite37.0ms

series43.0ms

simplify46.0ms

prune132.0ms

localize10.0ms

rewrite49.0ms

series68.0ms

simplify89.0ms

prune276.0ms

regimes265.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling