Details

sample55.0ms

Algorithm

intervals

Results

13.0ms	133×	body	320	valid
9.0ms	513×	pre	80	true
8.0ms	257×	body	80	nan
5.0ms	77×	body	160	valid
2.0ms	19×	body	640	valid
1.0ms	27×	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

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: 52.7b

Counts

2 → 1

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))
0.3b	(* (* 3.0 a) c)
22.6b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite33.0ms

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))
12.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms	(* (* 3.0 a) c)
8.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series264.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (* b b) (* (* 3.0 a) c))
110.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
20.0ms	(* (* 3.0 a) c)
84.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify58.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (49.0ms)

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

prune163.0ms

Filtered

85 candidates to 59 candidates (69.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	2	86

Merged error: 0.1b

Counts

86 → 2

localize18.0ms

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))

rewrite75.0ms

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:

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)
5.0ms	(* 3.0 (* a c))
33.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series347.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
20.0ms	(* (* 3.0 a) c)
21.0ms	(* 3.0 (* a c))
134.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify121.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (91.0ms)

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

prune408.0ms

Filtered

171 candidates to 107 candidates (62.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	164	7	171
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	165	8	173

Merged error: 0b

Counts

173 → 8

localize15.0ms

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

518×	`times-frac`
318×	`add-sqr-sqrt` `*-un-lft-identity`
174×	`add-cube-cbrt`
72×	`distribute-lft-out--` `difference-of-squares`
62×	`associate-/l*`
48×	`add-exp-log` `add-cbrt-cube`
42×	`div-inv`
36×	`distribute-rgt-neg-in` `sqrt-prod`
19×	`cbrt-undiv` `div-exp`
14×	`pow1`
12×	`prod-exp` `cbrt-unprod`
10×	`associate-/r*` `associate-/r/`
6×	`pow-prod-down`
5×	`flip3--` `flip--`
4×	`associate-r` `associate-l` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative` `associate-/l/`

Counts

4 → 364

Calls

4 calls:

5.0ms	(* (* 3.0 a) c)
28.0ms	(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
5.0ms	(* 3.0 (* a c))
15.0ms	(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series392.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* 3.0 a) c)
154.0ms	(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
20.0ms	(* 3.0 (* a c))
198.0ms	(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify93.0ms

Algorithm

egg-herbie

Counts

376 → 376

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1226	7115
1	5001	6759

prune764.0ms

Filtered

376 candidates to 217 candidates (57.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	374	2	376
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	377	7	384

Merged error: 0b

Counts

384 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

518×	`times-frac`
318×	`add-sqr-sqrt` `*-un-lft-identity`
174×	`add-cube-cbrt`
72×	`distribute-lft-out--` `difference-of-squares`
62×	`associate-/l*`
48×	`add-exp-log` `add-cbrt-cube`
42×	`div-inv`
36×	`distribute-rgt-neg-in` `sqrt-prod`
19×	`cbrt-undiv` `div-exp`
14×	`pow1`
12×	`prod-exp` `cbrt-unprod`
10×	`associate-/r*` `associate-/r/`
6×	`associate-r` `pow-prod-down`
5×	`flip3--` `flip--`
4×	`add-log-exp`
2×	`frac-2neg` `associate-l` `clear-num` `*-commutative` `associate-/l/`

Counts

4 → 364

Calls

4 calls:

5.0ms	(* (* 3.0 a) c)
5.0ms	(* (* 3.0 a) c)
28.0ms	(/ (/ (/ (* (* 3.0 a) c) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
15.0ms	(/ (/ (* (* 3.0 a) c) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series375.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* 3.0 a) c)
19.0ms	(* (* 3.0 a) c)
151.0ms	(/ (/ (/ (* (* 3.0 a) c) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
185.0ms	(/ (/ (* (* 3.0 a) c) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify92.0ms

Algorithm

egg-herbie

Counts

376 → 376

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1171	7092
1	5001	6727

prune679.0ms

Filtered

376 candidates to 217 candidates (57.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	375	1	376
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	377	6	383

Merged error: 0b

Counts

383 → 6

regimes84.0ms

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	16	12
1	16	12

end0.0ms

sample1.6s

Algorithm

intervals

Results

360.0ms	3657×	body	320	valid
305.0ms	16171×	pre	80	true
253.0ms	8171×	body	80	nan
200.0ms	2983×	body	160	valid
69.0ms	522×	body	640	valid
30.0ms	838×	body	80	valid