Details

analyze256.0ms

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

sample45.0ms

Algorithm

intervals

Results

18.0ms	164×	body	160	valid
8.0ms	279×	pre	80	true
6.0ms	45×	body	320	valid
2.0ms	47×	body	80	valid
1.0ms	23×	body	80	nan

simplify176.0ms

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: 44.6b

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))
38.9b	(+ (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))
7.0ms	(* (* 3.0 a) c)
12.0ms	(/ (+ (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))))

simplify44.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	6060	1115

prune122.0ms

Filtered

59 candidates to 84 candidates (-42.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	79	5	84
Fresh	0	0	0
Picked	1	0	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)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
0.3b	(* 3.0 (* a c))
0.3b	(* 3.0 (* a c))
0.4b	(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

rewrite43.0ms

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:

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

series106.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (* 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	(/ (/ (* 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

prune170.0ms

Filtered

76 candidates to 135 candidates (-77.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	128	7	135
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	133	7	140

Merged error: 0b

Counts

140 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-exp-log`
50×	`add-cbrt-cube`
39×	`prod-exp`
38×	`div-exp`
31×	`times-frac`
24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`cbrt-unprod`
15×	`cbrt-undiv`
14×	`pow1` `1-exp`
13×	`associate-/l*`
10×	`associate-l`
8×	`associate-*r/`
6×	`pow-prod-down` `add-log-exp`
5×	`flip3--` `associate-/r/` `flip--`
4×	`frac-times` `associate-*l/`
3×	`div-inv`
2×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `distribute-rgt-neg-in` `frac-2neg` `diff-log` `clear-num` `associate-/r*` `sqrt-prod` `associate-/l/`

Counts

4 → 129

Calls

4 calls:

4.0ms	(- (* b b) (* 3.0 (* a c)))
20.0ms	(/ (/ 3.0 1) (* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 c))))
5.0ms	(* 3.0 (* a c))
15.0ms	(* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 c)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (* b b) (* 3.0 (* a c)))
31.0ms	(/ (/ 3.0 1) (* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 c))))
3.0ms	(* 3.0 (* a c))
18.0ms	(* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 c)))

simplify71.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4982	2287
1	4982	2287

prune176.0ms

Filtered

81 candidates to 141 candidates (-74.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	142	6	148

Merged error: 0b

Counts

148 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* 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))

rewrite44.0ms

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)))
7.0ms	(* 3.0 (* a c))
16.0ms	(* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 c))

series64.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (* b b) (* 3.0 (* a c)))
31.0ms	(/ 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))

simplify54.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4962	1829
1	4962	1829

prune132.0ms

Filtered

76 candidates to 129 candidates (-69.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	129	6	135

Merged error: 0b

Counts

135 → 6

regimes167.0ms

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 (2.0ms)

Iter	Nodes	Cost
0	145	18
1	145	18

end0.0ms

sample1.2s

Algorithm

intervals

Results

449.0ms	4862×	body	160	valid
252.0ms	8839×	pre	80	true
189.0ms	1355×	body	320	valid
86.0ms	1783×	body	80	valid
38.0ms	839×	body	80	nan

Details

analyze256.0ms

sample45.0ms

simplify176.0ms

prune8.0ms

localize10.0ms

rewrite32.0ms

series52.0ms

simplify44.0ms

prune122.0ms

localize12.0ms

rewrite43.0ms

series106.0ms

simplify55.0ms

prune170.0ms

localize14.0ms

rewrite49.0ms

series64.0ms

simplify71.0ms

prune176.0ms

localize12.0ms

rewrite44.0ms

series64.0ms

simplify54.0ms

prune132.0ms

regimes167.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling