Details

sample47.0ms

Algorithm

intervals

Results

9.0ms	149×	body	160	valid
8.0ms	512×	pre	80	true
7.0ms	256×	body	80	nan
3.0ms	107×	body	80	valid

simplify11.0ms

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: 30.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.2b	(* (* 3.0 a) c)
0.4b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
29.9b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite111.0ms

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:

7.0ms	(- (* b b) (* (* 3.0 a) c))
16.0ms	(* (* 3.0 a) c)
63.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
23.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series233.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* b b) (* (* 3.0 a) c))
18.0ms	(* (* 3.0 a) c)
97.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
72.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify53.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (46.0ms)

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

prune170.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite568.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 159

Calls

4 calls:

22.0ms	(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
15.0ms	(* 3.0 (* a c))
249.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
274.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series357.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
18.0ms	(* 3.0 (* a c))
147.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
119.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify103.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	664	3240
1	2868	2713
2	5001	2670

prune440.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite573.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 159

Calls

4 calls:

17.0ms	(* (* 3.0 a) c)
22.0ms	(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
250.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
277.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series356.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (* 3.0 a) c)
73.0ms	(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
151.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
114.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify112.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	654	3241
1	3207	2705
2	5002	2671

prune417.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite357.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

16.0ms	(* (* 3.0 a) c)
22.0ms	(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
246.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
70.0ms	(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series306.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* 3.0 a) c)
72.0ms	(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
116.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
100.0ms	(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify99.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	523	1275
1	2893	988
2	5001	964

prune240.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes182.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	16
1	21	16

end0.0ms

sample1.4s

Algorithm

intervals

Results

277.0ms	4415×	body	160	valid
265.0ms	16389×	pre	80	true
256.0ms	8389×	body	80	nan
114.0ms	3585×	body	80	valid