Details

sample57.0ms

Algorithm

intervals

Results

12.0ms	121×	body	320	valid
10.0ms	516×	pre	80	true
8.0ms	260×	body	80	nan
6.0ms	90×	body	160	valid
2.0ms	16×	body	640	valid
1.0ms	29×	body	80	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 53.0b

localize14.0ms

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))
0.3b	(* (* 3.0 a) c)
24.2b	(+ (- 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))
35.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
6.0ms	(* (* 3.0 a) c)
12.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series287.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (* b b) (* (* 3.0 a) c))
130.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
23.0ms	(* (* 3.0 a) c)
82.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify57.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (49.0ms)

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

prune180.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

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)
0.3b	(* 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))

rewrite378.0ms

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:

169.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
7.0ms	(* (* 3.0 a) c)
6.0ms	(* 3.0 (* a c))
190.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series322.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
19.0ms	(* (* 3.0 a) c)
22.0ms	(* 3.0 (* a c))
121.0ms	(/ (/ (+ (- (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

171 → 171

Iterations

Useful iterations: 2 (86.0ms)

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

prune419.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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)
0.3b	(* (* 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))

rewrite373.0ms

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:

168.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
6.0ms	(* (* 3.0 a) c)
6.0ms	(* (* 3.0 a) c)
185.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series320.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
19.0ms	(* (* 3.0 a) c)
19.0ms	(* (* 3.0 a) c)
124.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify106.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (82.0ms)

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

prune403.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(* (* (* 3.0 a) (sqrt c)) (sqrt c))
0.4b	(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* (* 3.0 a) (sqrt c)) (sqrt c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
0.4b	(* (* 3.0 a) (sqrt c))

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

69×	`times-frac`
55×	`add-sqr-sqrt` `*-un-lft-identity`
35×	`add-exp-log` `add-cbrt-cube`
31×	`add-cube-cbrt`
27×	`associate-/l*`
23×	`pow1`
15×	`associate-r`
14×	`prod-exp` `cbrt-unprod`
12×	`pow-prod-down` `sqrt-prod` `distribute-lft-out--` `difference-of-squares`
6×	`cbrt-undiv` `distribute-rgt-neg-in` `div-exp`
4×	`associate-/r/` `add-log-exp`
3×	`associate-l` `*-commutative` `div-inv`
2×	`flip3--` `div-sub` `flip--`
1×	`associate-+l-` `frac-2neg` `clear-num` `associate-/r*` `associate-/l/`

Counts

4 → 138

Calls

4 calls:

8.0ms	(* (* 3.0 a) c)
25.0ms	(* (* (* 3.0 a) (sqrt c)) (sqrt c))
187.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* (* 3.0 a) (sqrt c)) (sqrt c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
8.0ms	(* (* 3.0 a) (sqrt c))

series258.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* 3.0 a) c)
34.0ms	(* (* (* 3.0 a) (sqrt c)) (sqrt c))
145.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* (* 3.0 a) (sqrt c)) (sqrt c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
56.0ms	(* (* 3.0 a) (sqrt c))

simplify116.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	741	2503
1	3961	1990
2	5001	1966

prune363.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes128.0ms

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

sample1.6s

Algorithm

intervals

Results

355.0ms	3628×	body	320	valid
305.0ms	16090×	pre	80	true
259.0ms	8090×	body	80	nan
194.0ms	2931×	body	160	valid
67.0ms	521×	body	640	valid
31.0ms	920×	body	80	valid