Details

sample67.0ms

Algorithm

intervals

Results

15.0ms	550×	pre	80	true
14.0ms	162×	body	160	valid
13.0ms	294×	body	80	nan
6.0ms	45×	body	320	valid
2.0ms	49×	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

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

localize14.0ms

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))
39.4b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite32.0ms

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:

4.0ms	(- (* b b) (* (* 3.0 a) c))
5.0ms	(* (* 3.0 a) c)
13.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series258.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (* 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))
82.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify55.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (47.0ms)

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

prune160.0ms

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: 0.3b

Counts

86 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

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:

9.0ms	(* (* 3.0 a) c)
5.0ms	(* 3.0 (* a c))
27.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
31.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series332.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* 3.0 a) c)
19.0ms	(* 3.0 (* a c))
168.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 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))

simplify117.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (87.0ms)

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

prune407.0ms

Filtered

171 candidates to 106 candidates (62.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	163	8	171
Fresh	2	1	3
Picked	1	0	1
Done	1	0	1
Total	167	9	176

Merged error: 0b

Counts

176 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

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:

5.0ms	(* (* 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)))))
31.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series339.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* 3.0 a) c)
19.0ms	(* (* 3.0 a) c)
170.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
129.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify113.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (88.0ms)

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

prune363.0ms

Filtered

171 candidates to 102 candidates (59.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	171	9	180

Merged error: 0b

Counts

180 → 9

localize14.0ms

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 143

Calls

4 calls:

7.0ms	(/ (* 3.0 (* a c)) 3.0)
5.0ms	(* (* 3.0 a) c)
5.0ms	(* 3.0 (* a c))
21.0ms	(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series248.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (* 3.0 (* a c)) 3.0)
20.0ms	(* (* 3.0 a) c)
20.0ms	(* 3.0 (* a c))
183.0ms	(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify83.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	584	1858
1	3026	1667
2	5002	1653

prune480.0ms

Filtered

155 candidates to 92 candidates (59.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	154	1	155
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	158	6	164

Merged error: 0b

Counts

164 → 6

regimes107.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b 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

sample1.9s

Algorithm

intervals

Results

454.0ms	16276×	pre	80	true
415.0ms	4813×	body	160	valid
358.0ms	8276×	body	80	nan
174.0ms	1361×	body	320	valid
82.0ms	1826×	body	80	valid

Details

sample67.0ms

simplify11.0ms

prune2.0ms

localize14.0ms

rewrite32.0ms

series258.0ms

simplify55.0ms

prune160.0ms

localize21.0ms

rewrite79.0ms

series332.0ms

simplify117.0ms

prune407.0ms

localize21.0ms

rewrite76.0ms

series339.0ms

simplify113.0ms

prune363.0ms

localize14.0ms

rewrite44.0ms

series248.0ms

simplify83.0ms

prune480.0ms

regimes107.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

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