Details

analyze261.0ms

Algorithm: search

sample44.0ms

Algorithm

intervals

Results

18.0ms	164×	body	160	valid
8.0ms	274×	pre	80	true
5.0ms	40×	body	320	valid
3.0ms	52×	body	80	valid
1.0ms	18×	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

prune3.0ms

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: 44.6b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.3b	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b	(* (* 3.0 a) c)
40.7b	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite28.0ms

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))
11.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
5.0ms	(* (* 3.0 a) c)
8.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series53.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* (* 3.0 a) c))
25.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
3.0ms	(* (* 3.0 a) c)
16.0ms	(+ (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	5002	602

prune115.0ms

Filtered

59 candidates to 85 candidates (-44.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	3	86

Merged error: 0.3b

Counts

86 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

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

11.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
5.0ms	(* (* 3.0 a) c)
4.0ms	(* 3.0 (* a c))
18.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series104.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
3.0ms	(* (* 3.0 a) c)
3.0ms	(* 3.0 (* a c))
45.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify120.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (96.0ms)

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

prune284.0ms

Filtered

104 candidates to 169 candidates (-62.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	159	10	169
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	161	11	172

Merged error: 0.0b

Counts

172 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b	(* (* 3.0 a) c)
0.3b	(* (* 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×	`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:

12.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
6.0ms	(* (* 3.0 a) c)
5.0ms	(* (* 3.0 a) c)
16.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series103.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
3.0ms	(* (* 3.0 a) c)
3.0ms	(* (* 3.0 a) c)
41.0ms	(/ (/ (+ 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 (86.0ms)

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

prune268.0ms

Filtered

103 candidates to 169 candidates (-64.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	165	4	169
Fresh	6	4	10
Picked	1	0	1
Done	0	0	0
Total	172	8	180

Merged error: 0.0b

Counts

180 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

1050×	`times-frac`
455×	`add-sqr-sqrt` `*-un-lft-identity`
319×	`add-cube-cbrt`
161×	`add-exp-log`
130×	`associate-/l*`
100×	`div-exp`
77×	`add-cbrt-cube`
68×	`distribute-lft-out--` `difference-of-squares`
49×	`div-inv`
42×	`cbrt-undiv`
41×	`associate-/r*`
34×	`distribute-rgt-neg-in` `sqrt-prod`
26×	`prod-exp`
12×	`rec-exp` `1-exp` `cbrt-unprod`
10×	`pow1`
4×	`add-log-exp`
3×	`frac-2neg` `associate-r` `pow-prod-down` `clear-num` `associate-/r/`
2×	`div-sub` `associate-/l/`
1×	`pow-flip` `associate-l` `*-commutative` `inv-pow`

Counts

4 → 543

Calls

4 calls:

22.0ms	(/ 1 (/ (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)) c))
13.0ms	(/ (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)) c)
5.0ms	(* (* 3.0 a) c)
32.0ms	(/ (/ 1 (/ (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)) c)) (* 3.0 a))

series100.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ 1 (/ (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)) c))
21.0ms	(/ (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)) c)
3.0ms	(* (* 3.0 a) c)
37.0ms	(/ (/ 1 (/ (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)) c)) (* 3.0 a))

simplify123.0ms

Algorithm

egg-herbie

Counts

555 → 555

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1889	10240
1	5002	9451

prune1.0s

Filtered

306 candidates to 555 candidates (-81.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	553	2	555
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	556	7	563

Merged error: 0b

Counts

563 → 7

regimes229.0ms

Accuracy

0% (0.4b 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	21	13
1	21	13

end0.0ms

analyze257.0ms

Algorithm: search

sample1.2s

Algorithm

intervals

Results

449.0ms	4812×	body	160	valid
246.0ms	8886×	pre	80	true
193.0ms	1386×	body	320	valid
89.0ms	1802×	body	80	valid
42.0ms	886×	body	80	nan

Details

analyze261.0ms

sample44.0ms

simplify10.0ms

prune3.0ms

localize11.0ms

rewrite28.0ms

series53.0ms

simplify55.0ms

prune115.0ms

localize15.0ms

rewrite45.0ms

series104.0ms

simplify120.0ms

prune284.0ms

localize13.0ms

rewrite45.0ms

series103.0ms

simplify107.0ms

prune268.0ms

localize16.0ms

rewrite109.0ms

series100.0ms

simplify123.0ms

prune1.0s

regimes229.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze257.0ms

sample1.2s

Profiling