Details

sample53.0ms

Algorithm

intervals

Results

10.0ms	157×	body	160	valid
10.0ms	541×	pre	80	true
9.0ms	285×	body	80	nan
6.0ms	54×	body	320	valid
2.0ms	45×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 45.8b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
39.3b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite29.0ms

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))
5.0ms	(* (* 3.0 a) c)
11.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series254.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* b b) (* (* 3.0 a) c))
20.0ms	(* (* 3.0 a) c)
107.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
81.0ms	(+ (- 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

prune158.0ms

Filtered

85 candidates to 59 candidates (69.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	5	86

Merged error: 0.2b

Counts

86 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

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)))))
0.3b	(* 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))

rewrite72.0ms

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:

5.0ms	(* (* 3.0 a) c)
25.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
5.0ms	(* 3.0 (* a c))
28.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series333.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* 3.0 a) c)
169.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
19.0ms	(* 3.0 (* a c))
124.0ms	(/ (/ (+ (- (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

prune401.0ms

Filtered

171 candidates to 106 candidates (62.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	164	7	171
Fresh	2	1	3
Picked	0	1	1
Done	1	0	1
Total	167	9	176

Merged error: 0b

Counts

176 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

155×	`times-frac`
119×	`add-sqr-sqrt`
113×	`add-exp-log`
108×	`*-un-lft-identity`
89×	`associate-r`
77×	`add-cbrt-cube`
71×	`add-cube-cbrt`
44×	`prod-exp`
42×	`div-exp`
30×	`cbrt-unprod`
24×	`cbrt-undiv`
18×	`distribute-lft-out--` `difference-of-squares`
16×	`pow1`
11×	`associate-l`
9×	`distribute-rgt-neg-in` `sqrt-prod`
7×	`pow-prod-down`
6×	`associate-/r/` `div-inv`
4×	`rec-exp` `1-exp` `add-log-exp` `unswap-sqr`
3×	`flip3--` `associate-/r` `-commutative` `flip--`
1×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/l*`

Counts

4 → 199

Calls

4 calls:

6.0ms	(/ (* 3.0 (* a c)) 3.0)
5.0ms	(* (* 3.0 a) c)
4.0ms	(* 3.0 (* a c))
36.0ms	(* (/ (* 3.0 (* a c)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series209.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (* 3.0 (* a c)) 3.0)
22.0ms	(* (* 3.0 a) c)
20.0ms	(* 3.0 (* a c))
148.0ms	(* (/ (* 3.0 (* a c)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify51.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1119	2646
1	5001	2153

prune382.0ms

Filtered

211 candidates to 114 candidates (54.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	209	2	211
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	212	8	220

Merged error: 0b

Counts

220 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
136×	`add-sqr-sqrt`
121×	`*-un-lft-identity`
113×	`add-exp-log`
73×	`add-cbrt-cube`
59×	`add-cube-cbrt` `associate-l`
45×	`div-exp`
41×	`prod-exp`
30×	`distribute-lft-out--` `difference-of-squares`
26×	`cbrt-undiv`
25×	`cbrt-unprod`
18×	`div-inv`
17×	`associate-r`
16×	`pow1`
15×	`distribute-rgt-neg-in` `sqrt-prod`
7×	`pow-prod-down` `associate-/r` `associate-/l`
6×	`unswap-sqr`
5×	`rec-exp` `1-exp`
4×	`associate-/r/` `add-log-exp`
3×	`*-commutative`
2×	`flip3--` `flip--`
1×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `un-div-inv` `associate-/l/`

Counts

4 → 237

Calls

4 calls:

5.0ms	(* (* 3.0 a) c)
29.0ms	(* (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 a))
5.0ms	(* 3.0 (* a c))
14.0ms	(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series359.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* 3.0 a) c)
145.0ms	(* (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 a))
19.0ms	(* 3.0 (* a c))
175.0ms	(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify59.0ms

Algorithm

egg-herbie

Counts

249 → 249

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1087	3720
1	5001	3223

prune441.0ms

Filtered

249 candidates to 135 candidates (54.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	249	0	249
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	249	8	257

Merged error: 0b

Counts

257 → 8

regimes107.0ms

Accuracy

0% (0.5b 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	25	13
1	25	13

end0.0ms

sample1.4s

Algorithm

intervals

Results

329.0ms	4817×	body	160	valid
296.0ms	16002×	pre	80	true
253.0ms	8002×	body	80	nan
140.0ms	1390×	body	320	valid
62.0ms	1793×	body	80	valid