Details

sample68.0ms

Algorithm

intervals

Results

13.0ms	532×	pre	80	true
13.0ms	103×	body	320	valid
11.0ms	276×	body	80	nan
8.0ms	102×	body	160	valid
2.0ms	14×	body	640	valid
2.0ms	37×	body	80	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	42	9
2	76	9
3	94	9
4	102	9
5	102	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.2b	(* (* 3.0 a) c)
27.5b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

8.0ms	(- (* b b) (* (* 3.0 a) c))
68.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
18.0ms	(* (* 3.0 a) c)
24.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series238.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* b b) (* (* 3.0 a) c))
99.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
18.0ms	(* (* 3.0 a) c)
75.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify56.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	419	716
1	1930	613
2	5002	608

prune300.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.2b	(* (* 3.0 a) c)
0.2b	(* 3.0 (* a c))
0.4b	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite620.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
80×	`add-sqr-sqrt` `*-un-lft-identity`
40×	`add-cube-cbrt`
30×	`associate-/l*`
28×	`add-exp-log` `add-cbrt-cube`
20×	`distribute-lft-out--` `difference-of-squares`
14×	`pow1`
10×	`distribute-rgt-neg-in` `sqrt-prod`
8×	`prod-exp` `associate-/r*` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow-prod-down` `associate-/r/`
4×	`associate-r` `associate-l` `div-inv` `add-log-exp`
3×	`flip3--` `div-sub` `flip--` `associate-/l/`
2×	`associate-+l-` `frac-2neg` `clear-num` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

4 → 159

Calls

4 calls:

275.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
18.0ms	(* (* 3.0 a) c)
16.0ms	(* 3.0 (* a c))
304.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series305.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
18.0ms	(* (* 3.0 a) c)
20.0ms	(* 3.0 (* a c))
117.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify118.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	684	3100
1	3307	2567
2	5001	2533

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.2b	(* (* 3.0 a) c)
0.2b	(* (* 3.0 a) c)
0.4b	(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite608.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
80×	`add-sqr-sqrt` `*-un-lft-identity`
40×	`add-cube-cbrt`
30×	`associate-/l*`
28×	`add-exp-log` `add-cbrt-cube`
20×	`distribute-lft-out--` `difference-of-squares`
14×	`pow1`
10×	`distribute-rgt-neg-in` `sqrt-prod`
8×	`prod-exp` `associate-/r*` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`associate-r` `pow-prod-down` `associate-/r/`
4×	`div-inv` `add-log-exp`
3×	`flip3--` `div-sub` `flip--` `associate-/l/`
2×	`associate-+l-` `frac-2neg` `associate-l` `clear-num` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

4 → 159

Calls

4 calls:

269.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
18.0ms	(* (* 3.0 a) c)
17.0ms	(* (* 3.0 a) c)
297.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series308.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
23.0ms	(* (* 3.0 a) c)
18.0ms	(* (* 3.0 a) c)
116.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify110.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	627	3101
1	3139	2568
2	5001	2534

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 a) c)
0.2b	(* (* 3.0 a) c)
0.3b	(/ 1 (* 3.0 a))
0.3b	(* (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))

rewrite444.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-exp-log`
40×	`add-cbrt-cube`
38×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
29×	`associate-l` `prod-exp`
28×	`times-frac`
21×	`add-cube-cbrt`
19×	`pow1` `div-exp`
15×	`cbrt-unprod`
13×	`associate-r`
9×	`cbrt-undiv`
8×	`pow-prod-down`
6×	`rec-exp` `1-exp` `distribute-lft-out--` `difference-of-squares`
4×	`add-log-exp`
3×	`distribute-rgt-neg-in` `sqrt-prod` `-commutative` `div-inv` `associate-/l`
2×	`pow-flip` `associate-/r/` `unswap-sqr`
1×	`frac-times` `flip3--` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/r*` `un-div-inv` `flip--` `inv-pow`

Counts

4 → 133

Calls

4 calls:

18.0ms	(* (* 3.0 a) c)
17.0ms	(* (* 3.0 a) c)
13.0ms	(/ 1 (* 3.0 a))
391.0ms	(* (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))

series172.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (* 3.0 a) c)
18.0ms	(* (* 3.0 a) c)
15.0ms	(/ 1 (* 3.0 a))
121.0ms	(* (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))

simplify89.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	570	1712
1	3158	1295
2	5002	1237

prune704.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes231.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	16
1	20	16

end0.0ms

sample1.8s

Algorithm

intervals

Results

452.0ms	3623×	body	320	valid
318.0ms	7965×	body	80	nan
313.0ms	15965×	pre	80	true
241.0ms	2934×	body	160	valid
86.0ms	529×	body	640	valid
38.0ms	914×	body	80	valid