Details

sample47.0ms

Algorithm

intervals

Results

10.0ms	536×	pre	80	true
9.0ms	144×	body	160	valid
8.0ms	280×	body	80	nan
4.0ms	112×	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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(- (* b b) (* (* 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))))

rewrite30.0ms

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:

5.0ms	(* (* 3.0 a) c)
3.0ms	(- (* b b) (* (* 3.0 a) c))
11.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
9.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series261.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* 3.0 a) c)
50.0ms	(- (* b b) (* (* 3.0 a) c))
109.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
82.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify55.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (48.0ms)

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

prune188.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* 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)))))
0.3b	(* 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))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
79×	`add-sqr-sqrt` `*-un-lft-identity`
39×	`add-cube-cbrt`
30×	`associate-/l*`
23×	`add-exp-log` `add-cbrt-cube`
20×	`distribute-lft-out--` `difference-of-squares`
10×	`distribute-rgt-neg-in` `sqrt-prod`
9×	`pow1`
8×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r/` `add-log-exp`
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` `clear-num`
1×	`sub-neg` `flip3-+` `diff-log` `associate-r` `*-commutative` `flip-+`

Counts

4 → 153

Calls

4 calls:

4.0ms	(- (* b b) (* (* 3.0 a) c))
26.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
5.0ms	(* 3.0 (* a c))
34.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series366.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* b b) (* (* 3.0 a) c))
169.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
20.0ms	(* 3.0 (* a c))
132.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify111.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	701	3126
1	3188	2612
2	5003	2569

prune453.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(- (* b b) (* (* 3.0 a) c))
0.3b	(/ (- (* (* 3.0 a) c)) (- (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
0.4b	(/ (/ (- (* (* 3.0 a) c)) (- (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (* 3.0 a))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

438×	`times-frac`
271×	`add-sqr-sqrt` `*-un-lft-identity`
226×	`distribute-rgt-neg-in`
188×	`distribute-lft-neg-in`
120×	`associate-/l*`
119×	`add-cube-cbrt`
76×	`distribute-lft-out--` `difference-of-squares`
74×	`neg-mul-1`
38×	`sqrt-prod`
23×	`add-exp-log` `add-cbrt-cube`
19×	`associate-/r*`
9×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r/` `distribute-neg-frac` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`flip3--` `flip--` `div-inv`
3×	`div-sub` `distribute-frac-neg` `associate-r` `pow-prod-down`
2×	`neg-sub0` `frac-2neg` `clear-num`
1×	`sub-neg` `diff-log` `associate-l` `*-commutative` `associate-/l/`

Counts

4 → 428

Calls

4 calls:

5.0ms	(* (* 3.0 a) c)
4.0ms	(- (* b b) (* (* 3.0 a) c))
18.0ms	(/ (- (* (* 3.0 a) c)) (- (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
28.0ms	(/ (/ (- (* (* 3.0 a) c)) (- (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (* 3.0 a))

series425.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* 3.0 a) c)
50.0ms	(- (* b b) (* (* 3.0 a) c))
192.0ms	(/ (- (* (* 3.0 a) c)) (- (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
164.0ms	(/ (/ (- (* (* 3.0 a) c)) (- (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (* 3.0 a))

simplify92.0ms

Algorithm

egg-herbie

Counts

440 → 440

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1239	7847
1	5002	7603

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(- (* b b) (* (* 3.0 a) c))
0.4b	(* (/ (* 3.0 a) -1) (/ (- c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
0.4b	(/ (* (/ (* 3.0 a) -1) (/ (- c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (* 3.0 a))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-exp-log` `add-cbrt-cube`
84×	`add-sqr-sqrt`
79×	`-un-lft-identity` `associate-r*`
75×	`times-frac`
39×	`add-cube-cbrt`
35×	`cbrt-undiv` `div-exp`
34×	`prod-exp` `cbrt-unprod`
31×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in`
20×	`distribute-lft-out--` `difference-of-squares`
11×	`pow1`
10×	`sqrt-prod`
8×	`associate-l`
7×	`neg-mul-1`
6×	`add-log-exp`
4×	`pow-prod-down`
3×	`distribute-frac-neg` `div-inv` `associate-/l/`
2×	`frac-times` `flip3--` `associate-r/` `associate-l/` `associate-/r/` `*-commutative` `distribute-rgt-neg-out` `flip--` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `associate-/r` `associate-/l`

Counts

4 → 185

Calls

4 calls:

5.0ms	(* (* 3.0 a) c)
4.0ms	(- (* b b) (* (* 3.0 a) c))
31.0ms	(* (/ (* 3.0 a) -1) (/ (- c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
21.0ms	(/ (* (/ (* 3.0 a) -1) (/ (- c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (* 3.0 a))

series391.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* 3.0 a) c)
46.0ms	(- (* b b) (* (* 3.0 a) c))
177.0ms	(* (/ (* 3.0 a) -1) (/ (- c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
147.0ms	(/ (* (/ (* 3.0 a) -1) (/ (- c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (* 3.0 a))

simplify48.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1040	2726
1	5001	2096

prune363.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes146.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	14
1	26	14
2	33	14
3	35	14
4	41	14
5	41	14

end0.0ms

sample1.3s

Algorithm

intervals

Results

299.0ms	16511×	pre	80	true
297.0ms	4451×	body	160	valid
265.0ms	8511×	body	80	nan
119.0ms	3549×	body	80	valid