Details

sample59.0ms

Algorithm

intervals

Results

10.0ms	108×	body	320	valid
10.0ms	569×	pre	80	true
9.0ms	313×	body	80	nan
9.0ms	99×	body	160	valid
2.0ms	13×	body	640	valid
1.0ms	36×	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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.0b

localize10.0ms

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)
28.4b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite58.0ms

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:

3.0ms	(- (* b b) (* (* 3.0 a) c))
34.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
6.0ms	(* (* 3.0 a) c)
11.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series250.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* b b) (* (* 3.0 a) c))
106.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
22.0ms	(* (* 3.0 a) c)
78.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify60.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (48.0ms)

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

prune182.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 a) c)
0.2b	(/ (+ (- (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))

rewrite361.0ms

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:

6.0ms	(* (* 3.0 a) c)
162.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
6.0ms	(* 3.0 (* a c))
180.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series336.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* 3.0 a) c)
164.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
23.0ms	(* 3.0 (* a c))
126.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify120.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (90.0ms)

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

prune453.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
137×	`add-sqr-sqrt`
122×	`*-un-lft-identity`
117×	`add-exp-log`
77×	`add-cbrt-cube`
60×	`add-cube-cbrt`
56×	`associate-r`
48×	`div-exp`
41×	`prod-exp`
30×	`distribute-lft-out--` `difference-of-squares`
29×	`cbrt-undiv`
25×	`cbrt-unprod`
19×	`div-inv`
16×	`associate-l`
15×	`distribute-rgt-neg-in` `sqrt-prod`
11×	`pow1`
10×	`associate-/r*`
8×	`associate-/l*`
6×	`unswap-sqr`
5×	`rec-exp` `1-exp`
4×	`pow-prod-down` `associate-/r/` `add-log-exp`
2×	`flip3--` `frac-2neg` `clear-num` `*-commutative` `flip--`
1×	`frac-times` `associate-r/` `associate-l/` `associate-/l/`

Counts

4 → 241

Calls

4 calls:

7.0ms	(/ (* 3.0 (* a c)) a)
79.0ms	(* (/ 1 3.0) (/ (/ (* 3.0 (* a c)) a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
29.0ms	(/ (/ (* 3.0 (* a c)) a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
6.0ms	(* 3.0 (* a c))

series327.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(/ (* 3.0 (* a c)) a)
147.0ms	(* (/ 1 3.0) (/ (/ (* 3.0 (* a c)) a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
150.0ms	(/ (/ (* 3.0 (* a c)) a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
20.0ms	(* 3.0 (* a c))

simplify58.0ms

Algorithm

egg-herbie

Counts

253 → 253

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	981	3667
1	5001	3084

prune523.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.1b	(/ (/ (* 1 (* a c)) a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.1b	(/ (* 1 (* a c)) a)
0.2b	(* (* 3.0 a) c)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 141

Calls

4 calls:

3.0ms	(- (* b b) (* (* 3.0 a) c))
29.0ms	(/ (/ (* 1 (* a c)) a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
7.0ms	(/ (* 1 (* a c)) a)
7.0ms	(* (* 3.0 a) c)

series217.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* b b) (* (* 3.0 a) c))
147.0ms	(/ (/ (* 1 (* a c)) a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
6.0ms	(/ (* 1 (* a c)) a)
20.0ms	(* (* 3.0 a) c)

simplify99.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	658	1860
1	3633	1672
2	5002	1639

prune303.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes110.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	18	9
1	20	9
2	20	9

end0.0ms

sample1.5s

Algorithm

intervals

Results

337.0ms	3581×	body	320	valid
285.0ms	16108×	pre	80	true
248.0ms	8108×	body	80	nan
188.0ms	2972×	body	160	valid
59.0ms	467×	body	640	valid
32.0ms	980×	body	80	valid