Details

analyze268.0ms

Algorithm: search

sample40.0ms

Algorithm

intervals

Results

14.0ms	147×	body	160	valid
8.0ms	296×	pre	80	true
5.0ms	109×	body	80	valid
2.0ms	40×	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: 29.2b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.4b	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
29.0b	(+ (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)
13.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series52.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* (* 3.0 a) c))
3.0ms	(* (* 3.0 a) c)
25.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
15.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify55.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (46.0ms)

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

prune124.0ms

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: 0.5b

Counts

86 → 5

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))

rewrite45.0ms

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:

5.0ms	(* 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))

series107.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 3.0 (* a c))
3.0ms	(* (* 3.0 a) c)
55.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
45.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify118.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (97.0ms)

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

prune320.0ms

Filtered

104 candidates to 169 candidates (-62.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	155	14	169
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	160	14	174

Merged error: 0b

Counts

174 → 14

localize13.0ms

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))

rewrite46.0ms

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)
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))

series106.0ms

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)))))
44.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify108.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (86.0ms)

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

prune278.0ms

Filtered

101 candidates to 169 candidates (-67.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	165	4	169
Fresh	7	6	13
Picked	1	0	1
Done	0	0	0
Total	173	10	183

Merged error: 0b

Counts

183 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

157×	`add-exp-log`
97×	`add-cbrt-cube`
76×	`prod-exp`
46×	`div-exp`
44×	`cbrt-unprod`
26×	`cbrt-undiv`
15×	`add-sqr-sqrt`
14×	`pow1`
13×	`*-un-lft-identity`
10×	`associate-r`
9×	`add-cube-cbrt`
8×	`rec-exp` `1-exp`
6×	`associate-l`
5×	`times-frac` `pow-prod-down` `associate-/r/`
4×	`frac-times` `flip3--` `associate-r/` `flip--` `associate-/l` `add-log-exp`
3×	`div-inv`
2×	`distribute-rgt-in` `sub-neg` `pow-flip` `frac-2neg` `distribute-lft-in` `associate-l/` `clear-num` `associate-/r` `*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`distribute-rgt-neg-in` `sqrt-prod` `inv-pow` `unswap-sqr`

Counts

4 → 145

Calls

4 calls:

5.0ms	(* (* 3.0 a) c)
17.0ms	(* (/ (* 3.0 a) (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
20.0ms	(/ 1 (* (/ (* 3.0 a) (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
7.0ms	(/ (* 3.0 a) (* (* 3.0 a) c))

series78.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* 3.0 a) c)
26.0ms	(* (/ (* 3.0 a) (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
46.0ms	(/ 1 (* (/ (* 3.0 a) (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
2.0ms	(/ (* 3.0 a) (* (* 3.0 a) c))

simplify41.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	744	2045
1	5001	1212

prune146.0ms

Filtered

75 candidates to 157 candidates (-109.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	155	2	157
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	157	10	167

Merged error: 0b

Counts

167 → 10

regimes304.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	11
1	29	11
2	29	11

end0.0ms

analyze265.0ms

Algorithm: search

sample1.1s

Algorithm

intervals

Results

440.0ms	4452×	body	160	valid
262.0ms	8949×	pre	80	true
180.0ms	3548×	body	80	valid
46.0ms	949×	body	80	nan

Details

analyze268.0ms

sample40.0ms

simplify10.0ms

prune4.0ms

localize11.0ms

rewrite31.0ms

series52.0ms

simplify55.0ms

prune124.0ms

localize15.0ms

rewrite45.0ms

series107.0ms

simplify118.0ms

prune320.0ms

localize13.0ms

rewrite46.0ms

series106.0ms

simplify108.0ms

prune278.0ms

localize13.0ms

rewrite55.0ms

series78.0ms

simplify41.0ms

prune146.0ms

regimes304.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze265.0ms

sample1.1s

Profiling