Details

sample623.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 99.999093%

Space saved by search: 99.998267%

Guaranteed chance to sample good point: 0%

Results

13.0ms	145×	body	160	valid
7.0ms	268×	pre	80	true
7.0ms	54×	body	320	valid
3.0ms	57×	body	80	valid
1.0ms	12×	body	80	nan

simplify10.0ms

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

prune4.0ms

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: 43.5b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
37.3b	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite31.0ms

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	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
10.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series55.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* b b) (* (* 3.0 a) c))
3.0ms	(* (* 3.0 a) c)
26.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
16.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify58.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (48.0ms)

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

prune136.0ms

Filtered

59 candidates to 85 candidates (-44.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	80	5	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	5	86

Merged error: 0.3b

Counts

86 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 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`
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--` `flip--` `associate-/l/`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

4 → 157

Calls

4 calls:

4.0ms	(* 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)))))
16.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series113.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 3.0 (* a c))
3.0ms	(* (* 3.0 a) c)
58.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
48.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify117.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	628	2481
1	3322	2152
2	5002	2149

prune285.0ms

Filtered

104 candidates to 169 candidates (-62.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	161	8	169
Fresh	3	1	4
Picked	1	0	1
Done	0	0	0
Total	165	9	174

Merged error: 0.0b

Counts

174 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 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`
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--` `flip--` `associate-/l/`
2×	`frac-2neg` `associate-l` `clear-num` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

4 → 157

Calls

4 calls:

4.0ms	(* (* 3.0 a) c)
5.0ms	(* (* 3.0 a) c)
11.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
16.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series111.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* 3.0 a) c)
3.0ms	(* (* 3.0 a) c)
56.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
47.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify107.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	571	2482
1	3060	2153
2	5003	2150

prune268.0ms

Filtered

103 candidates to 169 candidates (-64.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	165	4	169
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	171	7	178

Merged error: 0b

Counts

178 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.4b	(/ (* 3.0 a) (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))
0.4b	(/ (* 1 (/ (* 3.0 a) (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))) (* 3.0 a))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

118×	`add-exp-log`
77×	`add-cbrt-cube`
68×	`times-frac`
52×	`div-exp`
51×	`add-sqr-sqrt` `*-un-lft-identity`
44×	`prod-exp`
30×	`cbrt-undiv`
27×	`add-cube-cbrt`
26×	`associate-/r*`
25×	`cbrt-unprod`
12×	`distribute-lft-out--` `difference-of-squares`
10×	`1-exp`
9×	`pow1`
6×	`distribute-rgt-neg-in` `sqrt-prod` `add-log-exp`
4×	`div-inv`
3×	`associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num` `associate-/l*`
1×	`sub-neg` `flip3--` `diff-log` `associate-r/` `associate-l` `associate-/r/` `-commutative` `flip--` `associate-/l/`

Counts

4 → 148

Calls

4 calls:

4.0ms	(- (* b b) (* (* 3.0 a) c))
5.0ms	(* (* 3.0 a) c)
14.0ms	(/ (* 3.0 a) (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))
18.0ms	(/ (* 1 (/ (* 3.0 a) (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))) (* 3.0 a))

series123.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* b b) (* (* 3.0 a) c))
4.0ms	(* (* 3.0 a) c)
59.0ms	(/ (* 3.0 a) (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))
51.0ms	(/ (* 1 (/ (* 3.0 a) (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))) (* 3.0 a))

simplify58.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	873	2226
1	5001	1781

prune161.0ms

Filtered

83 candidates to 160 candidates (-92.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	158	2	160
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	161	6	167

Merged error: 0b

Counts

167 → 6

regimes228.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	10
1	22	10
2	22	10

end0.0ms

sample1.7s

Algorithm

intervals

sampling

Space saved by range analysis: 99.999093%

Space saved by search: 99.998267%

Guaranteed chance to sample good point: 0%

Results

466.0ms	4843×	body	160	valid
239.0ms	8487×	pre	80	true
188.0ms	1329×	body	320	valid
92.0ms	1828×	body	80	valid
23.0ms	487×	body	80	nan

Details

sample623.0ms

simplify10.0ms

prune4.0ms

localize10.0ms

rewrite31.0ms

series55.0ms

simplify58.0ms

prune136.0ms

localize14.0ms

rewrite44.0ms

series113.0ms

simplify117.0ms

prune285.0ms

localize15.0ms

rewrite44.0ms

series111.0ms

simplify107.0ms

prune268.0ms

localize13.0ms

rewrite49.0ms

series123.0ms

simplify58.0ms

prune161.0ms

regimes228.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

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