Details

sample71.0ms

Algorithm

intervals

Results

17.0ms	147×	body	160	valid
15.0ms	248×	body	80	nan
15.0ms	504×	pre	80	true
8.0ms	109×	body	80	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	9
1	45	9
2	79	9
3	97	9
4	105	9
5	105	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b	(- (* b b) (* (* 4.0 a) c))
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
28.8b	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`pow1` `times-frac` `associate-/l*`
3×	`distribute-rgt-neg-in` `sqrt-prod`
2×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3--` `flip3-+` `sqrt-div` `div-exp` `sum-log` `flip--` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `neg-log` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 70

Calls

4 calls:

4.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
3.0ms	(- (* b b) (* (* 4.0 a) c))
34.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
12.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series314.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
46.0ms	(- (* b b) (* (* 4.0 a) c))
113.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
83.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify47.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	405	779
1	1563	685
2	5002	674

prune198.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b	(- (* b b) (* (* 4.0 a) c))
0.3b	(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
0.3b	(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
82×	`add-sqr-sqrt` `*-un-lft-identity`
38×	`add-cube-cbrt`
30×	`associate-/l*`
22×	`distribute-lft-out--` `difference-of-squares`
18×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-neg-in` `sqrt-prod`
10×	`add-log-exp`
8×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r/`
5×	`flip3--` `flip--`
4×	`pow1` `div-inv`
3×	`diff-log` `associate-/l/`
2×	`sub-neg` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod`
1×	`associate--l-` `neg-sub0` `flip3-+` `neg-log` `flip-+`

Counts

4 → 151

Calls

4 calls:

15.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
3.0ms	(- (* b b) (* (* 4.0 a) c))
42.0ms	(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
30.0ms	(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series470.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
50.0ms	(- (* b b) (* (* 4.0 a) c))
150.0ms	(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
188.0ms	(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify115.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	642	2664
1	3175	2400
2	5003	2388

prune421.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b	(/ (/ 1 1) (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
0.2b	(- (* b b) (* (* 4.0 a) c))
0.3b	(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

291×	`add-exp-log`
136×	`div-exp`
128×	`prod-exp`
117×	`add-cbrt-cube`
48×	`cbrt-unprod`
42×	`cbrt-undiv`
40×	`1-exp`
32×	`times-frac`
30×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
20×	`add-cube-cbrt`
16×	`rec-exp`
13×	`associate-/l*`
10×	`add-log-exp`
7×	`associate-r`
6×	`pow1` `flip3--` `flip--`
5×	`associate-l` `associate-/r/`
4×	`frac-times` `sub-neg` `associate-*r/` `div-inv` `distribute-lft-out--` `difference-of-squares`
3×	`diff-log`
2×	`distribute-rgt-in` `distribute-rgt-neg-in` `distribute-lft-in` `associate-*l/` `sqrt-prod`
1×	`associate--l-` `neg-sub0` `frac-2neg` `pow-prod-down` `neg-log` `clear-num` `associate-/r` `-commutative` `associate-/l/` `unswap-sqr`

Counts

4 → 190

Calls

4 calls:

12.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
40.0ms	(/ (/ 1 1) (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
3.0ms	(- (* b b) (* (* 4.0 a) c))
67.0ms	(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series375.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
153.0ms	(/ (/ 1 1) (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
49.0ms	(- (* b b) (* (* 4.0 a) c))
90.0ms	(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1194	3224
1	5001	2520

prune335.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)
0.2b	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b	(/ (/ 1 1) (* (/ 2.0 4.0) (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)))
0.2b	(- (* b b) (* (* 4.0 a) c))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

127×	`add-exp-log`
84×	`div-exp`
52×	`times-frac`
50×	`add-sqr-sqrt` `*-un-lft-identity`
47×	`add-cbrt-cube`
30×	`add-cube-cbrt`
28×	`prod-exp`
25×	`1-exp`
24×	`cbrt-undiv`
20×	`associate-/l*`
10×	`rec-exp` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
8×	`cbrt-unprod`
5×	`distribute-rgt-neg-in` `sqrt-prod`
4×	`pow1` `associate-/r*` `div-inv`
3×	`flip3--` `diff-log` `associate-/r/` `flip--` `associate-/l/`
2×	`sub-neg` `frac-2neg` `clear-num`
1×	`associate--l-` `neg-sub0` `frac-times` `div-sub` `associate-r/` `neg-log` `associate-l/`

Counts

4 → 162

Calls

4 calls:

33.0ms	(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)
12.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
24.0ms	(/ (/ 1 1) (* (/ 2.0 4.0) (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)))
3.0ms	(- (* b b) (* (* 4.0 a) c))

series354.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)
81.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
130.0ms	(/ (/ 1 1) (* (/ 2.0 4.0) (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)))
51.0ms	(- (* b b) (* (* 4.0 a) c))

simplify95.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	922	2312
1	4331	1944
2	5003	1909

prune304.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	11
1	23	11

end0.0ms

sample2.1s

Algorithm

intervals

Results

533.0ms	4421×	body	160	valid
527.0ms	8591×	body	80	nan
488.0ms	16591×	pre	80	true
242.0ms	3579×	body	80	valid