Details

analyze278.0ms

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

sample46.0ms

Algorithm

intervals

Results

15.0ms	156×	body	160	valid
8.0ms	276×	pre	80	true
6.0ms	43×	body	320	valid
5.0ms	57×	body	80	valid
1.0ms	20×	body	80	nan

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: 45.0b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* 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))
39.8b	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite29.0ms

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)
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))))

series54.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* 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))
17.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify45.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	6060	1115

prune116.0ms

Filtered

59 candidates to 84 candidates (-42.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	5	85

Merged error: 0.2b

Counts

85 → 5

localize12.0ms

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))

rewrite46.0ms

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))
14.0ms	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
18.0ms	(/ (/ (* 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))
57.0ms	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
43.0ms	(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

simplify53.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5025	2216

prune172.0ms

Filtered

76 candidates to 135 candidates (-77.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	128	7	135
Fresh	3	0	3
Picked	0	1	1
Done	1	0	1
Total	132	8	140

Merged error: 0b

Counts

140 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* 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)))
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)))
5.0ms	(* 3.0 (* a c))
14.0ms	(/ 1 (* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 c)))
16.0ms	(* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 c))

series64.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* 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)))
21.0ms	(* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 c))

simplify52.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4962	1829
1	4962	1829

prune156.0ms

Filtered

76 candidates to 129 candidates (-69.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	2	4	6
Picked	0	1	1
Done	1	0	1
Total	130	7	137

Merged error: 0b

Counts

137 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`times-frac`
17×	`add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
9×	`pow1`
7×	`associate-/r*`
5×	`distribute-rgt-neg-in` `sqrt-prod`
3×	`flip3--` `diff-log` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*`
2×	`sub-neg` `associate-/r/`
1×	`cbrt-undiv` `associate--l-` `neg-sub0` `frac-2neg` `div-exp` `associate-r` `neg-log` `clear-num` `*-commutative` `div-inv`

Counts

4 → 91

Calls

4 calls:

8.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
10.0ms	(/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
4.0ms	(- (* b b) (* 3.0 (* a c)))
5.0ms	(* 3.0 (* a c))

series75.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
48.0ms	(/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
9.0ms	(- (* b b) (* 3.0 (* a c)))
3.0ms	(* 3.0 (* a c))

simplify58.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5266	1656

prune113.0ms

Filtered

67 candidates to 103 candidates (-53.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	103	7	110

Merged error: 0b

Counts

110 → 7

regimes180.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	81	15
1	81	15

end0.0ms

sample1.3s

Algorithm

intervals

Results

475.0ms	4802×	body	160	valid
266.0ms	8934×	pre	80	true
216.0ms	1469×	body	320	valid
89.0ms	1729×	body	80	valid
47.0ms	934×	body	80	nan

Details

analyze278.0ms

sample46.0ms

simplify177.0ms

prune8.0ms

localize10.0ms

rewrite29.0ms

series54.0ms

simplify45.0ms

prune116.0ms

localize12.0ms

rewrite46.0ms

series107.0ms

simplify53.0ms

prune172.0ms

localize13.0ms

rewrite43.0ms

series64.0ms

simplify52.0ms

prune156.0ms

localize13.0ms

rewrite30.0ms

series75.0ms

simplify58.0ms

prune113.0ms

regimes180.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling