Details

analyze262.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

sample62.0ms

Algorithm

intervals

Results

15.0ms	168×	body	160	valid
4.0ms	32×	body	320	valid
3.0ms	56×	body	80	valid

simplify177.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (175.0ms)

Iter	Nodes	Cost
0	1784	16
1	1784	16

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 43.6b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.2b	(* (* 3.0 a) c)
0.4b	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
43.6b	(+ (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 → 72

Calls

4 calls:

4.0ms	(- (* 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))))

series50.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* (* 3.0 a) c))
3.0ms	(* (* 3.0 a) c)
24.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
14.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify43.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	6060	1115

prune117.0ms

Filtered

59 candidates to 84 candidates (-42.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	3	85

Merged error: 0.3b

Counts

85 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

5.0ms	(* 3.0 (* a c))
5.0ms	(* 3.0 (* a c))
13.0ms	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
16.0ms	(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

series104.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 3.0 (* a c))
3.0ms	(* 3.0 (* a c))
53.0ms	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
44.0ms	(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

simplify55.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5025	2216

prune186.0ms

Filtered

76 candidates to 135 candidates (-77.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	126	9	135
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	128	10	138

Merged error: 0b

Counts

138 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-exp-log`
26×	`add-sqr-sqrt`
23×	`add-cbrt-cube`
20×	`*-un-lft-identity`
19×	`prod-exp`
18×	`div-exp`
15×	`add-cube-cbrt`
14×	`pow1` `times-frac` `associate-r`
10×	`associate-l`
9×	`rec-exp` `1-exp`
7×	`cbrt-unprod`
6×	`associate-/r/` `add-log-exp`
5×	`cbrt-undiv` `flip3--` `pow-prod-down` `flip--`
4×	`frac-times` `associate-*l/`
3×	`associate-/l*` `unswap-sqr`
2×	`pow-flip` `associate-r/` `un-div-inv` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `distribute-rgt-neg-in` `frac-2neg` `diff-log` `clear-num` `associate-/r*` `sqrt-prod` `inv-pow`

Counts

4 → 117

Calls

4 calls:

4.0ms	(- (* b b) (* 3.0 (* a c)))
14.0ms	(/ 1 (* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 c)))
5.0ms	(* 3.0 (* a c))
17.0ms	(* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 c))

series63.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* 3.0 (* a c)))
34.0ms	(/ 1 (* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 c)))
3.0ms	(* 3.0 (* a c))
18.0ms	(* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 c))

simplify51.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4962	1829
1	4962	1829

prune168.0ms

Filtered

76 candidates to 129 candidates (-69.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	130	9	139

Merged error: 0b

Counts

139 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
0.2b	(- (* b b) (* 3.0 (* a c)))
0.3b	(* 3.0 (* a c))
0.3b	(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (/ 1 c))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

918×	`times-frac`
551×	`add-sqr-sqrt` `*-un-lft-identity`
367×	`add-cube-cbrt`
92×	`distribute-lft-out--` `difference-of-squares`
53×	`add-exp-log`
46×	`distribute-rgt-neg-in` `sqrt-prod`
44×	`div-inv`
34×	`div-exp`
31×	`associate-/r/`
30×	`associate-/l*`
23×	`add-cbrt-cube`
20×	`associate-/r*`
16×	`flip3--` `flip--`
10×	`pow1`
9×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `pow-flip` `diff-log` `associate-r` `*-commutative` `associate-/l/` `inv-pow`

Counts

4 → 501

Calls

4 calls:

10.0ms	(/ 1 (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
4.0ms	(- (* b b) (* 3.0 (* a c)))
5.0ms	(* 3.0 (* a c))
26.0ms	(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (/ 1 c))

series67.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1 (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
9.0ms	(- (* b b) (* 3.0 (* a c)))
3.0ms	(* 3.0 (* a c))
31.0ms	(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (/ 1 c))

simplify169.0ms

Algorithm

egg-herbie

Counts

513 → 513

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	5430	15048

prune440.0ms

Filtered

181 candidates to 513 candidates (-183.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	512	1	513
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	513	9	522

Merged error: 0b

Counts

522 → 9

regimes207.0ms

Accuracy

0% (0.4b 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 (1.0ms)

Iter	Nodes	Cost
0	81	19
1	81	19

end0.0ms

sample1.6s

Algorithm

intervals

Results

446.0ms	4898×	body	160	valid
185.0ms	1360×	body	320	valid
83.0ms	1742×	body	80	valid

Details

analyze262.0ms

sample62.0ms

simplify177.0ms

prune8.0ms

localize11.0ms

rewrite32.0ms

series50.0ms

simplify43.0ms

prune117.0ms

localize13.0ms

rewrite42.0ms

series104.0ms

simplify55.0ms

prune186.0ms

localize14.0ms

rewrite43.0ms

series63.0ms

simplify51.0ms

prune168.0ms

localize13.0ms

rewrite86.0ms

series67.0ms

simplify169.0ms

prune440.0ms

regimes207.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.6s

Profiling