Details

sample60.0ms

Algorithm

intervals

Results

13.0ms	502×	pre	80	true
13.0ms	246×	body	80	nan
12.0ms	144×	body	160	valid
5.0ms	112×	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: 29.2b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(- (* b b) (* (* 3.0 a) c))
0.4b	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
29.1b	(+ (neg 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:

7.0ms	(* (* 3.0 a) c)
3.0ms	(- (* b b) (* (* 3.0 a) c))
11.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series284.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* 3.0 a) c)
48.0ms	(- (* b b) (* (* 3.0 a) c))
140.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
77.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	417	711
1	1922	611
2	5001	602

prune164.0ms

Filtered

85 candidates to 59 candidates (69.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	4	86

Merged error: 0.4b

Counts

86 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* 3.0 (* a c))
0.3b	(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b	(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
79×	`add-sqr-sqrt` `*-un-lft-identity`
39×	`add-cube-cbrt`
30×	`associate-/l*`
23×	`add-exp-log` `add-cbrt-cube`
20×	`distribute-lft-out--` `difference-of-squares`
10×	`distribute-rgt-neg-in` `sqrt-prod`
9×	`pow1`
8×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r/` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`flip3--` `flip--` `div-inv`
3×	`associate-l` `pow-prod-down` `associate-/l/`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `flip3-+` `diff-log` `associate-r` `*-commutative` `flip-+`

Counts

4 → 151

Calls

4 calls:

3.0ms	(- (* b b) (* (* 3.0 a) c))
5.0ms	(* 3.0 (* a c))
12.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
17.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series582.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* b b) (* (* 3.0 a) c))
19.0ms	(* 3.0 (* a c))
283.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
232.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify120.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	651	2507
1	3312	2195
2	5001	2183

prune580.0ms

Filtered

163 candidates to 102 candidates (62.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	153	10	163
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	156	11	167

Merged error: 0.0b

Counts

167 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(- (* b b) (* (* 3.0 a) c))
0.3b	(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
79×	`add-sqr-sqrt` `*-un-lft-identity`
39×	`add-cube-cbrt`
30×	`associate-/l*`
23×	`add-exp-log` `add-cbrt-cube`
20×	`distribute-lft-out--` `difference-of-squares`
10×	`distribute-rgt-neg-in` `sqrt-prod`
9×	`pow1`
8×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r/` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`flip3--` `flip--` `div-inv`
3×	`associate-r` `pow-prod-down` `associate-/l/`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `flip3-+` `diff-log` `associate-l` `*-commutative` `flip-+`

Counts

4 → 151

Calls

4 calls:

5.0ms	(* (* 3.0 a) c)
4.0ms	(- (* b b) (* (* 3.0 a) c))
15.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
17.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series583.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* 3.0 a) c)
45.0ms	(- (* b b) (* (* 3.0 a) c))
289.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
228.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify136.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (109.0ms)

Iter	Nodes	Cost
0	631	2508
1	3520	2189
2	5003	2186

prune342.0ms

Filtered

163 candidates to 102 candidates (62.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	161	2	163
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	163	11	174

Merged error: 0b

Counts

174 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* b b) (* (* 3.0 a) c))
0.3b	(/ 1 (/ (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)) c))
0.4b	(/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.4b	(/ (/ 1 (/ (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)) c)) (* 3.0 a))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

996×	`times-frac`
428×	`add-sqr-sqrt` `*-un-lft-identity`
300×	`add-cube-cbrt`
152×	`add-exp-log`
126×	`associate-/l*`
97×	`div-exp`
68×	`add-cbrt-cube`
64×	`distribute-lft-out--` `difference-of-squares`
45×	`div-inv`
39×	`cbrt-undiv` `associate-/r*`
32×	`distribute-rgt-neg-in` `sqrt-prod`
23×	`prod-exp`
12×	`rec-exp` `1-exp`
9×	`cbrt-unprod`
6×	`add-log-exp`
5×	`pow1`
3×	`frac-2neg` `clear-num` `associate-/r/` `associate-/l/`
2×	`flip3--` `flip--`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `inv-pow`

Counts

4 → 504

Calls

4 calls:

4.0ms	(- (* b b) (* (* 3.0 a) c))
20.0ms	(/ 1 (/ (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)) c))
12.0ms	(/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
39.0ms	(/ (/ 1 (/ (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)) c)) (* 3.0 a))

series531.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (* b b) (* (* 3.0 a) c))
207.0ms	(/ 1 (/ (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)) c))
104.0ms	(/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
171.0ms	(/ (/ 1 (/ (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)) c)) (* 3.0 a))

simplify124.0ms

Algorithm

egg-herbie

Counts

516 → 516

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	1892	9605
1	5001	8720

prune986.0ms

Filtered

516 candidates to 282 candidates (54.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	512	4	516
Fresh	6	4	10
Picked	0	1	1
Done	0	0	0
Total	518	9	527

Merged error: 0b

Counts

527 → 9

regimes162.0ms

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	20	13
1	20	13

end0.0ms

sample1.8s

Algorithm

intervals

Results

462.0ms	16671×	pre	80	true
397.0ms	4493×	body	160	valid
389.0ms	8671×	body	80	nan
165.0ms	3507×	body	80	valid

Details

sample60.0ms

simplify11.0ms

prune2.0ms

localize10.0ms

rewrite32.0ms

series284.0ms

simplify54.0ms

prune164.0ms

localize14.0ms

rewrite44.0ms

series582.0ms

simplify120.0ms

prune580.0ms

localize13.0ms

rewrite47.0ms

series583.0ms

simplify136.0ms

prune342.0ms

localize14.0ms

rewrite119.0ms

series531.0ms

simplify124.0ms

prune986.0ms

regimes162.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.8s

Profiling